%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW353+1 : TPTP v8.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n005.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 18:08:12 EDT 2024 % Result : Theorem 159.04s 158.74s % Output : CNFRefutation 159.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWW353+1 : TPTP v8.2.0. Released v5.2.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n005.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Wed Jun 19 06:32:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 158.54/158.57 %------------------------------------------- % 158.54/158.57 % File :CSE---1.7 % 158.54/158.57 % Problem :theBenchmark % 158.54/158.57 % Transform :cnf % 158.54/158.57 % Format :tptp:raw % 158.54/158.57 % Command :java -jar mcs_scs.jar %d %s % 158.54/158.58 % 158.54/158.58 % Result :Theorem 144.010000s % 158.54/158.58 % Output :CNFRefutation 144.010000s % 158.54/158.58 %------------------------------------------- % 158.54/158.58 %------------------------------------------------------------------------------ % 158.54/158.58 % File : SWW353+1 : TPTP v8.2.0. Released v5.2.0. % 158.54/158.58 % Domain : Software Verification % 158.54/158.58 % Problem : Hoare's Logic with Procedures 435344, 5000 axioms selected % 158.54/158.58 % Version : Especial. % 158.54/158.58 % English : % 158.54/158.58 % 158.54/158.58 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 158.54/158.58 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 158.54/158.58 % Source : [Bla11] % 158.54/158.58 % Names : hoare_435344.5000.p [Bla11] % 158.54/158.58 % 158.54/158.58 % Status : ContradictoryAxioms % 158.54/158.58 % Rating : 0.64 v8.2.0, 0.61 v7.5.0, 0.69 v7.4.0, 0.73 v7.3.0, 0.69 v7.1.0, 0.70 v7.0.0, 0.73 v6.4.0, 0.69 v6.3.0, 0.62 v6.2.0, 0.80 v6.1.0, 0.87 v6.0.0, 0.83 v5.5.0, 0.85 v5.4.0, 0.89 v5.3.0, 0.93 v5.2.0 % 158.54/158.58 % Syntax : Number of formulae : 5245 (1731 unt; 0 def) % 158.54/158.58 % Number of atoms : 12608 (4523 equ) % 158.54/158.58 % Maximal formula atoms : 13 ( 2 avg) % 158.54/158.58 % Number of connectives : 8373 (1010 ~; 155 |; 717 &) % 158.54/158.58 % ( 896 <=>;5595 =>; 0 <=; 0 <~>) % 158.54/158.58 % Maximal formula depth : 22 ( 6 avg) % 158.54/158.59 % Maximal term depth : 19 ( 2 avg) % 158.54/158.59 % Number of predicates : 146 ( 145 usr; 2 prp; 0-6 aty) % 158.54/158.59 % Number of functors : 387 ( 387 usr; 55 con; 0-7 aty) % 158.54/158.59 % Number of variables : 16653 (16507 !; 146 ?) % 158.54/158.59 % SPC : FOF_CAX_RFO_SEQ % 158.54/158.59 % 158.54/158.59 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 158.54/158.59 % 2011-03-01 12:23:50 % 158.54/158.59 %------------------------------------------------------------------------------ % 158.54/158.59 %----Relevant facts (4986) % 158.54/158.59 fof(fact_ext,axiom, % 158.54/158.59 ! [V_g_2,V_f_2] : % 158.54/158.59 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 158.54/158.59 => V_f_2 = V_g_2 ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_empty,axiom, % 158.54/158.59 ! [V_Ga_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))) ). % 158.54/158.59 % 158.54/158.59 fof(fact_hoare__derivs_Oequations_I1_J,axiom, % 158.54/158.59 ! [V_a_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))) ). % 158.54/158.59 % 158.54/158.59 fof(fact_cut,axiom, % 158.54/158.59 ! [V_Ga_2,V_ts_2,V_G_H_2,T_a] : % 158.54/158.59 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_H_2,V_ts_2) % 158.54/158.59 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_G_H_2) % 158.54/158.59 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_hoare__derivs_Oinsert,axiom, % 158.54/158.59 ! [V_ts_2,V_t_2,V_Ga_2,T_a] : % 158.54/158.59 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 158.54/158.59 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) % 158.54/158.59 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),V_ts_2)) ) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_derivs__insertD,axiom, % 158.54/158.59 ! [V_ts_2,V_t_2,V_Ga_2,T_a] : % 158.54/158.59 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),V_ts_2)) % 158.54/158.59 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 158.54/158.59 & c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_insert__dom,axiom, % 158.54/158.59 ! [T_b,V_y_2,T_a,V_x_2,V_f_2] : % 158.54/158.59 ( hAPP(V_f_2,V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) % 158.54/158.59 => hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Map_Odom(T_b,T_a,V_f_2)) = c_Map_Odom(T_b,T_a,V_f_2) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_bot__fun__def,axiom, % 158.54/158.59 ! [V_x_2,T_b,T_a] : % 158.54/158.59 ( class_Orderings_Obot(T_a) % 158.54/158.59 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_empty__not__insert,axiom, % 158.54/158.59 ! [V_A_2,V_a_2,T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) ). % 158.54/158.59 % 158.54/158.59 fof(fact_insert__not__empty,axiom, % 158.54/158.59 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.54/158.59 % 158.54/158.59 fof(fact_doubleton__eq__iff,axiom, % 158.54/158.59 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 158.54/158.59 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_ca_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 158.54/158.59 <=> ( ( V_a_2 = V_ca_2 % 158.54/158.59 & V_b_2 = V_d_2 ) % 158.54/158.59 | ( V_a_2 = V_d_2 % 158.54/158.59 & V_b_2 = V_ca_2 ) ) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_singleton__inject,axiom, % 158.54/158.59 ! [V_b_2,V_a_2,T_a] : % 158.54/158.59 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) % 158.54/158.59 => V_a_2 = V_b_2 ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_bot__apply,axiom, % 158.54/158.59 ! [V_x_2,T_b,T_a] : % 158.54/158.59 ( class_Orderings_Obot(T_a) % 158.54/158.59 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_Option_Oset_Osimps_I2_J,axiom, % 158.54/158.59 ! [V_x_2,T_a] : c_Option_Oset(T_a,hAPP(c_Option_Ooption_OSome(T_a),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ). % 158.54/158.59 % 158.54/158.59 fof(fact_MGF__complete,axiom, % 158.54/158.59 ! [V_Q_2,V_P_2,V_ca_2] : % 158.54/158.59 ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) % 158.54/158.59 => ( c_Hoare__Mirabelle_Ohoare__valids(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) % 158.54/158.59 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_com_Osimps_I6_J,axiom, % 158.54/158.59 ! [V_pname_H_2,V_pname_2] : % 158.54/158.59 ( hAPP(c_Com_Ocom_OBODY,V_pname_2) = hAPP(c_Com_Ocom_OBODY,V_pname_H_2) % 158.54/158.59 <=> V_pname_2 = V_pname_H_2 ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_option_Oinject,axiom, % 158.54/158.59 ! [V_a_H_2,V_a_2,T_a] : % 158.54/158.59 ( hAPP(c_Option_Ooption_OSome(T_a),V_a_2) = hAPP(c_Option_Ooption_OSome(T_a),V_a_H_2) % 158.54/158.59 <=> V_a_2 = V_a_H_2 ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_the__elem__eq,axiom, % 158.54/158.59 ! [V_x_2,T_a] : c_Set_Othe__elem(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ). % 158.54/158.59 % 158.54/158.59 fof(fact_triple_Oinject,axiom, % 158.54/158.59 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_a] : % 158.54/158.59 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H_2),V_com_H_2),V_fun2_H_2) % 158.54/158.59 <=> ( V_fun1_2 = V_fun1_H_2 % 158.54/158.59 & V_com_2 = V_com_H_2 % 158.54/158.59 & V_fun2_2 = V_fun2_H_2 ) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_hoare__sound,axiom, % 158.54/158.59 ! [V_ts_2,V_Ga_2,T_a] : % 158.54/158.59 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) % 158.54/158.59 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_Ga_2,V_ts_2) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_insert__code,axiom, % 158.54/158.59 ! [V_x_2,V_A_2,V_y_2,T_a] : % 158.54/158.59 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2),V_x_2)) % 158.54/158.59 <=> ( V_y_2 = V_x_2 % 158.54/158.59 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_insert__commute,axiom, % 158.54/158.59 ! [V_A_2,V_y_2,V_x_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) ). % 158.54/158.59 % 158.54/158.59 fof(fact_insert__absorb2,axiom, % 158.54/158.59 ! [V_A_2,V_x_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2) ). % 158.54/158.59 % 158.54/158.59 fof(fact_BodyN,axiom, % 158.54/158.59 ! [V_Ga_2,V_Q_2,V_pn_2,V_P_2,T_a] : % 158.54/158.59 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),V_Ga_2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 158.54/158.59 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_weak__Body,axiom, % 158.54/158.59 ! [V_Q_2,V_pn_2,V_P_2,V_Ga_2,T_a] : % 158.54/158.59 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 158.54/158.59 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_triple_Orecs,axiom, % 158.54/158.59 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_a,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_b,T_a,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ). % 158.54/158.59 % 158.54/158.59 fof(fact_triple_Osimps_I2_J,axiom, % 158.54/158.59 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_a,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_b,T_a,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ). % 158.54/158.59 % 158.54/158.59 fof(fact_escape,axiom, % 158.54/158.59 ! [V_Q_2,V_ca_2,V_Ga_2,T_a,V_P_2] : % 158.54/158.59 ( ! [B_Z,B_s] : % 158.54/158.59 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s)) % 158.54/158.59 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s))),V_ca_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_a),hAPP(V_Q_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) % 158.54/158.59 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_hoare__derivs_Oequations_I7_J,axiom, % 158.54/158.59 ! [V_a2_2,V_a1_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_a2_2),c_Com_Ocom_OSKIP),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ). % 158.54/158.59 % 158.54/158.59 fof(fact_hoare__derivs_OSkip,axiom, % 158.54/158.59 ! [V_P_2,V_Ga_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OSKIP),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ). % 158.54/158.59 % 158.54/158.59 fof(fact_the__elem__def,axiom, % 158.54/158.59 ! [V_X_2,T_a] : c_Set_Othe__elem(T_a,V_X_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ). % 158.54/158.59 % 158.54/158.59 fof(fact_conseq1,axiom, % 158.54/158.59 ! [V_P_2,V_Q_2,V_ca_2,V_P_H_2,V_Ga_2,T_a] : % 158.54/158.59 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_H_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 158.54/158.59 => ( ! [B_Z,B_s] : % 158.54/158.59 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s)) % 158.54/158.59 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) ) % 158.54/158.59 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_conseq2,axiom, % 158.54/158.59 ! [V_Q_2,V_Q_H_2,V_ca_2,V_P_2,V_Ga_2,T_a] : % 158.54/158.59 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 158.54/158.59 => ( ! [B_Z,B_s] : % 158.54/158.59 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s)) % 158.54/158.59 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s)) ) % 158.54/158.59 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_Comp,axiom, % 158.54/158.59 ! [V_R_2,V_d_2,V_Q_2,V_ca_2,V_P_2,V_Ga_2,T_a] : % 158.54/158.59 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 158.54/158.59 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Q_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 158.54/158.59 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OSemi(V_ca_2,V_d_2)),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ). % 158.54/158.59 % 158.54/158.59 fof(fact_LoopF,axiom, % 158.54/158.59 ! [V_ca_2,V_b_2,V_P_2,V_Ga_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_a),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),V_P_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate),c_fNot),V_b_2))),c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ). % 158.54/158.59 % 158.64/158.59 fof(fact_com_Osimps_I12_J,axiom, % 158.64/158.59 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 158.64/158.59 % 158.64/158.59 fof(fact_com_Osimps_I16_J,axiom, % 158.64/158.59 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 158.64/158.59 % 158.64/158.59 fof(fact_com_Osimps_I13_J,axiom, % 158.64/158.59 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 158.64/158.59 % 158.64/158.59 fof(fact_com_Osimps_I17_J,axiom, % 158.64/158.59 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ). % 158.64/158.59 % 158.64/158.59 fof(fact_com_Osimps_I46_J,axiom, % 158.64/158.59 ! [V_com_H_2,V_fun_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 158.64/158.59 % 158.64/158.59 fof(fact_com_Osimps_I47_J,axiom, % 158.64/158.59 ! [V_com2_2,V_com1_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ). % 158.64/158.59 % 158.64/158.59 fof(fact_com_Osimps_I3_J,axiom, % 158.64/158.60 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] : % 158.64/158.60 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) % 158.64/158.60 <=> ( V_com1_2 = V_com1_H_2 % 158.64/158.60 & V_com2_2 = V_com2_H_2 ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com_Osimps_I5_J,axiom, % 158.64/158.60 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] : % 158.64/158.60 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) % 158.64/158.60 <=> ( V_fun_2 = V_fun_H_2 % 158.64/158.60 & V_com_2 = V_com_H_2 ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com_Osimps_I59_J,axiom, % 158.64/158.60 ! [V_com_2,V_fun_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OWhile(V_fun_2,V_com_2) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com_Osimps_I58_J,axiom, % 158.64/158.60 ! [V_pname_H_2,V_com_2,V_fun_2] : c_Com_Ocom_OWhile(V_fun_2,V_com_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com_Osimps_I49_J,axiom, % 158.64/158.60 ! [V_com2,V_com1,V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com_Osimps_I48_J,axiom, % 158.64/158.60 ! [V_pname_H,V_com2,V_com1] : c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com_Osimps_I18_J,axiom, % 158.64/158.60 ! [V_pname_H] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com_Osimps_I19_J,axiom, % 158.64/158.60 ! [V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP ). % 158.64/158.60 % 158.64/158.60 fof(fact_the_Osimps,axiom, % 158.64/158.60 ! [V_x,T_a] : hAPP(c_Option_Othe(T_a),hAPP(c_Option_Ooption_OSome(T_a),V_x)) = V_x ). % 158.64/158.60 % 158.64/158.60 fof(fact_the__eq__trivial,axiom, % 158.64/158.60 ! [V_a_2,T_a] : c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ). % 158.64/158.60 % 158.64/158.60 fof(fact_the__sym__eq__trivial,axiom, % 158.64/158.60 ! [V_x_2,T_a] : c_HOL_OThe(T_a,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 158.64/158.60 % 158.64/158.60 fof(fact_option_Orecs_I2_J,axiom, % 158.64/158.60 ! [V_a_2,V_f2_2,V_f1_2,T_b,T_a] : c_Option_Ooption_Ooption__rec(T_a,T_b,V_f1_2,V_f2_2,hAPP(c_Option_Ooption_OSome(T_b),V_a_2)) = hAPP(V_f2_2,V_a_2) ). % 158.64/158.60 % 158.64/158.60 fof(fact_option_Osimps_I5_J,axiom, % 158.64/158.60 ! [V_a_2,V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_Option_Ooption_Ooption__case(T_a,T_b,V_f1_2,V_f2_2),hAPP(c_Option_Ooption_OSome(T_b),V_a_2)) = hAPP(V_f2_2,V_a_2) ). % 158.64/158.60 % 158.64/158.60 fof(fact_MGT__alternD,axiom, % 158.64/158.60 ! [V_ca_2,V_Ga_2] : % 158.64/158.60 ( c_Hoare__Mirabelle_Ostate__not__singleton % 158.64/158.60 => ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_Com_Ostate),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies)),c_Natural_Oevalc(V_ca_2))))),c_fequal))),V_ca_2),c_fequal)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) % 158.64/158.60 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_WT_Oequations_I7_J,axiom, % 158.64/158.60 ! [V_a_2] : % 158.64/158.60 ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_a_2))) % 158.64/158.60 <=> ? [B_y] : hAPP(c_Com_Obody,V_a_2) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_finite__dom__body,axiom, % 158.64/158.60 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ). % 158.64/158.60 % 158.64/158.60 fof(fact_is__none__code_I2_J,axiom, % 158.64/158.60 ! [V_x,T_b] : ~ c_Option_Ois__none(T_b,hAPP(c_Option_Ooption_OSome(T_b),V_x)) ). % 158.64/158.60 % 158.64/158.60 fof(fact_MGT__alternI,axiom, % 158.64/158.60 ! [V_ca_2,V_Ga_2] : % 158.64/158.60 ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) % 158.64/158.60 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_Com_Ostate),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies)),c_Natural_Oevalc(V_ca_2))))),c_fequal))),V_ca_2),c_fequal)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_Loop__sound__lemma,axiom, % 158.64/158.60 ! [V_ca_2,V_b_2,V_P_2,V_Ga_2,T_a] : % 158.64/158.60 ( c_Hoare__Mirabelle_Ohoare__valids(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_b_2)),V_ca_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 158.64/158.60 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OWhile(V_b_2,V_ca_2)),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_MGT__def,axiom, % 158.64/158.60 ! [V_ca_2] : c_Hoare__Mirabelle_OMGT(V_ca_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),V_ca_2),c_Natural_Oevalc(V_ca_2)) ). % 158.64/158.60 % 158.64/158.60 fof(fact_Loop,axiom, % 158.64/158.60 ! [V_ca_2,V_b_2,V_P_2,V_Ga_2,T_a] : % 158.64/158.60 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_b_2)),V_ca_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 158.64/158.60 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OWhile(V_b_2,V_ca_2)),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_WTs__elim__cases_I6_J,axiom, % 158.64/158.60 ! [V_ca_2,V_b_2] : % 158.64/158.60 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_b_2,V_ca_2))) % 158.64/158.60 => hBOOL(hAPP(c_Com_OWT,V_ca_2)) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_WTs__elim__cases_I4_J,axiom, % 158.64/158.60 ! [V_c2,V_c1] : % 158.64/158.60 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_c1,V_c2))) % 158.64/158.60 => ~ ( hBOOL(hAPP(c_Com_OWT,V_c1)) % 158.64/158.60 => ~ hBOOL(hAPP(c_Com_OWT,V_c2)) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_peek__and__def,axiom, % 158.64/158.60 ! [V_s_2,V_Z_2,V_p_2,V_P_2,T_a] : % 158.64/158.60 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_p_2),V_Z_2),V_s_2)) % 158.64/158.60 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_Z_2),V_s_2)) % 158.64/158.60 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_While,axiom, % 158.64/158.60 ! [V_b_2,V_ca_2] : % 158.64/158.60 ( hBOOL(hAPP(c_Com_OWT,V_ca_2)) % 158.64/158.60 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_b_2,V_ca_2))) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_WT_Oequations_I6_J,axiom, % 158.64/158.60 ! [V_a1_2,V_a2_2] : % 158.64/158.60 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_a2_2,V_a1_2))) % 158.64/158.60 <=> hBOOL(hAPP(c_Com_OWT,V_a1_2)) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_WT_OSemi,axiom, % 158.64/158.60 ! [V_c1,V_c0] : % 158.64/158.60 ( hBOOL(hAPP(c_Com_OWT,V_c0)) % 158.64/158.60 => ( hBOOL(hAPP(c_Com_OWT,V_c1)) % 158.64/158.60 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_c0,V_c1))) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_WT_Oequations_I4_J,axiom, % 158.64/158.60 ! [V_a2_2,V_a1_2] : % 158.64/158.60 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_a1_2,V_a2_2))) % 158.64/158.60 <=> ( hBOOL(hAPP(c_Com_OWT,V_a1_2)) % 158.64/158.60 & hBOOL(hAPP(c_Com_OWT,V_a2_2)) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_WT_Oequations_I1_J,axiom, % 158.64/158.60 hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) ). % 158.64/158.60 % 158.64/158.60 fof(fact_WT_OSkip,axiom, % 158.64/158.60 hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc_OBody,axiom, % 158.64/158.60 ! [V_s1,V_s0,V_pn] : % 158.64/158.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1)) % 158.64/158.60 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1)) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc__elim__cases_I6_J,axiom, % 158.64/158.60 ! [V_s1,V_s,V_P] : % 158.64/158.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1)) % 158.64/158.60 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1)) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc_OSkip,axiom, % 158.64/158.60 ! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc__elim__cases_I1_J,axiom, % 158.64/158.60 ! [V_t,V_s] : % 158.64/158.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t)) % 158.64/158.60 => V_t = V_s ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc_OSemi,axiom, % 158.64/158.60 ! [V_s2,V_c1,V_s1,V_s0,V_c0] : % 158.64/158.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1)) % 158.64/158.60 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2)) % 158.64/158.60 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2)) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc_OWhileFalse,axiom, % 158.64/158.60 ! [V_ca_2,V_s_2,V_b_2] : % 158.64/158.60 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 158.64/158.60 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s_2),V_s_2)) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc_OWhileTrue,axiom, % 158.64/158.60 ! [V_s2_2,V_s1_2,V_ca_2,V_s0_2,V_b_2] : % 158.64/158.60 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 158.64/158.60 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s0_2),V_s1_2)) % 158.64/158.60 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s1_2),V_s2_2)) % 158.64/158.60 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s0_2),V_s2_2)) ) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_WT__bodiesD,axiom, % 158.64/158.60 ! [V_b,V_pn] : % 158.64/158.60 ( c_Com_OWT__bodies % 158.64/158.60 => ( hAPP(c_Com_Obody,V_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b) % 158.64/158.60 => hBOOL(hAPP(c_Com_OWT,V_b)) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_finite_OinsertI,axiom, % 158.64/158.60 ! [V_a_2,V_A_2,T_a] : % 158.64/158.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.60 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2))) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_finite_OemptyI,axiom, % 158.64/158.60 ! [T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc_Oequations_I9_J,axiom, % 158.64/158.60 ! [V_a3_2,V_a2_2,V_a1_2] : % 158.64/158.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),V_a3_2)) % 158.64/158.60 <=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2))),V_a2_2),V_a3_2)) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_hoare__derivs_OIf,axiom, % 158.64/158.60 ! [V_d_2,V_Q_2,V_ca_2,V_b_2,V_P_2,V_Ga_2,T_a] : % 158.64/158.60 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_b_2)),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 158.64/158.60 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2))),V_d_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) % 158.64/158.60 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OCond(V_b_2,V_ca_2,V_d_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc__elim__cases_I5_J,axiom, % 158.64/158.60 ! [V_t_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 158.64/158.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)),V_s_2),V_t_2)) % 158.64/158.60 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 158.64/158.60 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_t_2)) ) % 158.64/158.60 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 158.64/158.60 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2_2),V_s_2),V_t_2)) ) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc_OIfTrue,axiom, % 158.64/158.60 ! [V_c1_2,V_s1_2,V_c0_2,V_s_2,V_b_2] : % 158.64/158.60 ( hBOOL(hAPP(V_b_2,V_s_2)) % 158.64/158.60 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0_2),V_s_2),V_s1_2)) % 158.64/158.60 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_s1_2)) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc_OIfFalse,axiom, % 158.64/158.60 ! [V_c0_2,V_s1_2,V_c1_2,V_s_2,V_b_2] : % 158.64/158.60 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 158.64/158.60 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_s1_2)) % 158.64/158.60 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_s1_2)) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_WTs__elim__cases_I5_J,axiom, % 158.64/158.60 ! [V_c2_2,V_c1_2,V_b_2] : % 158.64/158.60 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2))) % 158.64/158.60 => ~ ( hBOOL(hAPP(c_Com_OWT,V_c1_2)) % 158.64/158.60 => ~ hBOOL(hAPP(c_Com_OWT,V_c2_2)) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com_Osimps_I4_J,axiom, % 158.64/158.60 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : % 158.64/158.60 ( c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) = c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) % 158.64/158.60 <=> ( V_fun_2 = V_fun_H_2 % 158.64/158.60 & V_com1_2 = V_com1_H_2 % 158.64/158.60 & V_com2_2 = V_com2_H_2 ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc_Oequations_I6_J,axiom, % 158.64/158.60 ! [V_a4_2,V_a2_2,V_a3_2,V_a5_2,V_a1_2] : % 158.64/158.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a5_2,V_a3_2)),V_a2_2),V_a4_2)) % 158.64/158.60 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 158.64/158.60 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) % 158.64/158.60 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 158.64/158.60 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc_Oequations_I5_J,axiom, % 158.64/158.60 ! [V_a4_2,V_a2_2,V_a5_2,V_a3_2,V_a1_2] : % 158.64/158.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a5_2)),V_a2_2),V_a4_2)) % 158.64/158.60 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 158.64/158.60 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) % 158.64/158.60 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 158.64/158.60 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_WT_Oequations_I5_J,axiom, % 158.64/158.60 ! [V_a2_2,V_a1_2,V_a3_2] : % 158.64/158.60 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_a3_2,V_a1_2,V_a2_2))) % 158.64/158.60 <=> ( hBOOL(hAPP(c_Com_OWT,V_a1_2)) % 158.64/158.60 & hBOOL(hAPP(c_Com_OWT,V_a2_2)) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_WT_OIf,axiom, % 158.64/158.60 ! [V_b_2,V_c1_2,V_c0_2] : % 158.64/158.60 ( hBOOL(hAPP(c_Com_OWT,V_c0_2)) % 158.64/158.60 => ( hBOOL(hAPP(c_Com_OWT,V_c1_2)) % 158.64/158.60 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2))) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com_Osimps_I55_J,axiom, % 158.64/158.60 ! [V_com2_2,V_com1_2,V_fun_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com_Osimps_I54_J,axiom, % 158.64/158.60 ! [V_pname_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com_Osimps_I53_J,axiom, % 158.64/158.60 ! [V_com2_2,V_com1_2,V_fun_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com_Osimps_I52_J,axiom, % 158.64/158.60 ! [V_com_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com_Osimps_I44_J,axiom, % 158.64/158.60 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com_Osimps_I45_J,axiom, % 158.64/158.60 ! [V_com2_2,V_com1_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com_Osimps_I14_J,axiom, % 158.64/158.60 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com_Osimps_I15_J,axiom, % 158.64/158.60 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OSKIP ). % 158.64/158.60 % 158.64/158.60 fof(fact_finite__code,axiom, % 158.64/158.60 ! [V_A_2,T_a] : % 158.64/158.60 ( class_Finite__Set_Ofinite(T_a) % 158.64/158.60 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_finite,axiom, % 158.64/158.60 ! [V_A_2,T_a] : % 158.64/158.60 ( class_Finite__Set_Ofinite(T_a) % 158.64/158.60 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_com__det,axiom, % 158.64/158.60 ! [V_u,V_t,V_s,V_c] : % 158.64/158.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) % 158.64/158.60 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u)) % 158.64/158.60 => V_u = V_t ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_finite_Oequations_I1_J,axiom, % 158.64/158.60 ! [T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ). % 158.64/158.60 % 158.64/158.60 fof(fact_finite__insert,axiom, % 158.64/158.60 ! [V_A_2,V_a_2,T_a] : % 158.64/158.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2))) % 158.64/158.60 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc_Oequations_I8_J,axiom, % 158.64/158.60 ! [V_a5_2,V_a2_2,V_a3_2,V_a1_2] : % 158.64/158.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a5_2)) % 158.64/158.60 <=> ( ( V_a5_2 = V_a2_2 % 158.64/158.60 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 158.64/158.60 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 158.64/158.60 & ? [B_s1] : % 158.64/158.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1)) % 158.64/158.60 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a5_2)) ) ) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc_Oequations_I7_J,axiom, % 158.64/158.60 ! [V_a2_2,V_a3_2,V_a1_2] : % 158.64/158.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a2_2)) % 158.64/158.60 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 158.64/158.60 => ? [B_s1] : % 158.64/158.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1)) % 158.64/158.60 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a2_2)) ) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc_Oequations_I4_J,axiom, % 158.64/158.60 ! [V_a5_2,V_a2_2,V_a4_2,V_a1_2] : % 158.64/158.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_a1_2,V_a4_2)),V_a2_2),V_a5_2)) % 158.64/158.60 <=> ? [B_s1] : % 158.64/158.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a1_2),V_a2_2),B_s1)) % 158.64/158.60 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a4_2),B_s1),V_a5_2)) ) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_evalc_Oequations_I1_J,axiom, % 158.64/158.60 ! [V_a] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_a),V_a)) ). % 158.64/158.60 % 158.64/158.60 fof(fact_WTs__elim__cases_I7_J,axiom, % 158.64/158.60 ! [V_P] : % 158.64/158.60 ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_P))) % 158.64/158.60 => ~ ! [B_y] : hAPP(c_Com_Obody,V_P) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y) ) ). % 158.64/158.60 % 158.64/158.60 fof(fact_folding__idem_Oinsert__idem,axiom, % 158.64/158.60 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.60 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2) % 158.64/158.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.60 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ). % 158.64/158.60 % 158.64/158.61 fof(fact_folding__one__idem_Oinsert__idem,axiom, % 158.64/158.61 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] : % 158.64/158.61 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2) % 158.64/158.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.61 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.61 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom, % 158.64/158.61 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.61 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 158.64/158.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.61 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),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)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_K__record__comp,axiom, % 158.64/158.61 ! [V_x_2,V_f_2,V_ca_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,hAPP(c_COMBK(T_a,T_b),V_ca_2)),V_f_2),V_x_2) = V_ca_2 ). % 158.64/158.61 % 158.64/158.61 fof(fact_o__def,axiom, % 158.64/158.61 ! [V_x_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ). % 158.64/158.61 % 158.64/158.61 fof(fact_fold1Set__sing,axiom, % 158.64/158.61 ! [V_b_2,V_a_2,V_f_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_b_2)) % 158.64/158.61 <=> V_a_2 = V_b_2 ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_folding__one_Osingleton,axiom, % 158.64/158.61 ! [V_x_2,V_F_2,V_f_2,T_a] : % 158.64/158.61 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 158.64/158.61 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_evalc__elim__cases_I4_J,axiom, % 158.64/158.61 ! [V_t,V_s,V_c2,V_c1] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_t)) % 158.64/158.61 => ~ ! [B_s1] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),B_s1)) % 158.64/158.61 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),B_s1),V_t)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_finite_Osimps,axiom, % 158.64/158.61 ! [V_a_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a_2)) % 158.64/158.61 <=> ( V_a_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.61 | ? [B_A] : % 158.64/158.61 ( ? [B_a] : V_a_2 = hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_A) % 158.64/158.61 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_A)) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_WT_OBody,axiom, % 158.64/158.61 ! [V_pn] : % 158.64/158.61 ( hAPP(c_Com_Obody,V_pn) != c_Option_Ooption_ONone(tc_Com_Ocom) % 158.64/158.61 => hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_pn))) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_o__eq__elim,axiom, % 158.64/158.61 ! [V_d_2,V_ca_2,T_d,V_b_2,V_a_2,T_a,T_b,T_c] : % 158.64/158.61 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,V_ca_2),V_d_2) % 158.64/158.61 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_ca_2,hAPP(V_d_2,B_v)) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_folding__one__idem_Oidem,axiom, % 158.64/158.61 ! [V_x_2,V_F_2,V_f_2,T_a] : % 158.64/158.61 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2) % 158.64/158.61 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_folding__image__simple__idem_Oidem,axiom, % 158.64/158.61 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.61 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 158.64/158.61 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_not__None__eq,axiom, % 158.64/158.61 ! [T_a,V_x_2] : % 158.64/158.61 ( V_x_2 != c_Option_Ooption_ONone(T_a) % 158.64/158.61 <=> ? [B_y] : V_x_2 = hAPP(c_Option_Ooption_OSome(T_a),B_y) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_not__Some__eq,axiom, % 158.64/158.61 ! [T_a,V_x_2] : % 158.64/158.61 ( ! [B_y] : V_x_2 != hAPP(c_Option_Ooption_OSome(T_a),B_y) % 158.64/158.61 <=> V_x_2 = c_Option_Ooption_ONone(T_a) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_option_Osimps_I3_J,axiom, % 158.64/158.61 ! [V_a_H,T_a] : hAPP(c_Option_Ooption_OSome(T_a),V_a_H) != c_Option_Ooption_ONone(T_a) ). % 158.64/158.61 % 158.64/158.61 fof(fact_option_Osimps_I2_J,axiom, % 158.64/158.61 ! [V_a_H,T_a] : c_Option_Ooption_ONone(T_a) != hAPP(c_Option_Ooption_OSome(T_a),V_a_H) ). % 158.64/158.61 % 158.64/158.61 fof(fact_option_Osimps_I4_J,axiom, % 158.64/158.61 ! [V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_Option_Ooption_Ooption__case(T_a,T_b,V_f1_2,V_f2_2),c_Option_Ooption_ONone(T_b)) = V_f1_2 ). % 158.64/158.61 % 158.64/158.61 fof(fact_is__none__def,axiom, % 158.64/158.61 ! [V_x_2,T_a] : % 158.64/158.61 ( c_Option_Ois__none(T_a,V_x_2) % 158.64/158.61 <=> V_x_2 = c_Option_Ooption_ONone(T_a) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_is__none__code_I1_J,axiom, % 158.64/158.61 ! [T_a] : c_Option_Ois__none(T_a,c_Option_Ooption_ONone(T_a)) ). % 158.64/158.61 % 158.64/158.61 fof(fact_fold1Set__nonempty,axiom, % 158.64/158.61 ! [V_x_2,V_A_2,V_f_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,V_A_2),V_x_2)) % 158.64/158.61 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_empty__fold1SetE,axiom, % 158.64/158.61 ! [V_x_2,V_f_2,T_a] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_x_2)) ). % 158.64/158.61 % 158.64/158.61 fof(fact_option_Orecs_I1_J,axiom, % 158.64/158.61 ! [V_f2_2,V_f1_2,T_b,T_a] : c_Option_Ooption_Ooption__rec(T_a,T_b,V_f1_2,V_f2_2,c_Option_Ooption_ONone(T_b)) = V_f1_2 ). % 158.64/158.61 % 158.64/158.61 fof(fact_dom__eq__empty__conv,axiom, % 158.64/158.61 ! [V_f_2,T_b,T_a] : % 158.64/158.61 ( c_Map_Odom(T_a,T_b,V_f_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.61 <=> V_f_2 = hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b)) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_dom__empty,axiom, % 158.64/158.61 ! [T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.61 % 158.64/158.61 fof(fact_set__empty__eq,axiom, % 158.64/158.61 ! [V_xo_2,T_a] : % 158.64/158.61 ( c_Option_Oset(T_a,V_xo_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.61 <=> V_xo_2 = c_Option_Ooption_ONone(T_a) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Option_Oset_Osimps_I1_J,axiom, % 158.64/158.61 ! [T_a] : c_Option_Oset(T_a,c_Option_Ooption_ONone(T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.61 % 158.64/158.61 fof(fact_folding__idem_Oidem__comp,axiom, % 158.64/158.61 ! [V_x_2,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.61 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2) % 158.64/158.61 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_folding__idem_Oidem__left__comp,axiom, % 158.64/158.61 ! [V_g_2,V_x_2,T_c,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.61 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2) % 158.64/158.61 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_o__assoc,axiom, % 158.64/158.61 ! [V_h_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),hAPP(c_Fun_Ocomp(T_d,T_c,T_a,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_h_2) ). % 158.64/158.61 % 158.64/158.61 fof(fact_o__apply,axiom, % 158.64/158.61 ! [V_x_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ). % 158.64/158.61 % 158.64/158.61 fof(fact_o__eq__dest__lhs,axiom, % 158.64/158.61 ! [V_v_2,V_ca_2,V_b_2,V_a_2,T_a,T_b,T_c] : % 158.64/158.61 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = V_ca_2 % 158.64/158.61 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_o__eq__dest,axiom, % 158.64/158.61 ! [V_v_2,V_d_2,V_ca_2,T_d,V_b_2,V_a_2,T_a,T_b,T_c] : % 158.64/158.61 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,V_ca_2),V_d_2) % 158.64/158.61 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,hAPP(V_d_2,V_v_2)) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_dom__eq__singleton__conv,axiom, % 158.64/158.61 ! [V_x_2,V_f_2,T_b,T_a] : % 158.64/158.61 ( c_Map_Odom(T_a,T_b,V_f_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.61 <=> ? [B_v] : V_f_2 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b))),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),B_v)) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_ran__empty,axiom, % 158.64/158.61 ! [T_a,T_b] : c_Map_Oran(T_b,T_a,hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.61 % 158.64/158.61 fof(fact_map__comp__None__iff,axiom, % 158.64/158.61 ! [V_k_2,V_m2_2,V_m1_2,T_c,T_a,T_b] : % 158.64/158.61 ( c_Map_Omap__comp(T_b,T_a,T_c,V_m1_2,V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_a) % 158.64/158.61 <=> ( hAPP(V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_b) % 158.64/158.61 | ? [B_k_H] : % 158.64/158.61 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),B_k_H) % 158.64/158.61 & hAPP(V_m1_2,B_k_H) = c_Option_Ooption_ONone(T_a) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_folding__one_Oinsert,axiom, % 158.64/158.61 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] : % 158.64/158.61 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 158.64/158.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.61 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.61 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_folding__one_Oinsert__remove,axiom, % 158.64/158.61 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] : % 158.64/158.61 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 158.64/158.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.61 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.61 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 ) % 158.64/158.61 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.61 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),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_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_finite__nonempty__imp__fold1Set,axiom, % 158.64/158.61 ! [V_f_2,V_A_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.61 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.61 => ? [B_x1] : hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,V_A_2),B_x1)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Option_Omap__def,axiom, % 158.64/158.61 ! [V_f_2,T_b,T_a] : hAPP(c_Option_Omap(T_a,T_b),V_f_2) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_b),T_a,c_Option_Ooption_ONone(T_b),hAPP(hAPP(c_COMBB(T_b,tc_Option_Ooption(T_b),T_a),c_Option_Ooption_OSome(T_b)),V_f_2)) ). % 158.64/158.61 % 158.64/158.61 fof(fact_folding__idem_Osubset__comp__idem,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.61 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2) % 158.64/158.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 158.64/158.61 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_folding__idem_Oin__comp__idem,axiom, % 158.64/158.61 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.61 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2) % 158.64/158.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.61 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_folding__one__idem_Osubset__idem,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] : % 158.64/158.61 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2) % 158.64/158.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.61 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 158.64/158.61 => 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) ) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_folding__idem_Ounion__idem,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.61 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2) % 158.64/158.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.61 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_order__refl,axiom, % 158.64/158.61 ! [V_x,T_a] : % 158.64/158.61 ( class_Orderings_Opreorder(T_a) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_equalityCE,axiom, % 158.64/158.61 ! [V_ca_2,T_a,V_B_2,V_A_2] : % 158.64/158.61 ( V_A_2 = V_B_2 % 158.64/158.61 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.61 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) % 158.64/158.61 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_equalityI,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 158.64/158.61 => V_A_2 = V_B_2 ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_fun__upd__triv,axiom, % 158.64/158.61 ! [V_x_2,V_f_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),hAPP(V_f_2,V_x_2)) = V_f_2 ). % 158.64/158.61 % 158.64/158.61 fof(fact_emptyE,axiom, % 158.64/158.61 ! [V_a_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ). % 158.64/158.61 % 158.64/158.61 fof(fact_insertE,axiom, % 158.64/158.61 ! [V_A_2,V_b_2,V_a_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2))) % 158.64/158.61 => ( V_a_2 != V_b_2 % 158.64/158.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_insertCI,axiom, % 158.64/158.61 ! [V_b_2,V_B_2,V_a_2,T_a] : % 158.64/158.61 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2)) % 158.64/158.61 => V_a_2 = V_b_2 ) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_subsetD,axiom, % 158.64/158.61 ! [V_ca_2,V_B_2,V_A_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_UnE,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_UnCI,axiom, % 158.64/158.61 ! [V_A_2,V_B_2,V_ca_2,T_a] : % 158.64/158.61 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_empty__subsetI,axiom, % 158.64/158.61 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ). % 158.64/158.61 % 158.64/158.61 fof(fact_DiffI,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_DiffE,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.61 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_finite__Diff,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.61 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_fun__upd__idem__iff,axiom, % 158.64/158.61 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] : % 158.64/158.61 ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2) = V_f_2 % 158.64/158.61 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_fun__upd__upd,axiom, % 158.64/158.61 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2)),V_x_2),V_z_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_z_2) ). % 158.64/158.61 % 158.64/158.61 fof(fact_fun__upd__same,axiom, % 158.64/158.61 ! [V_y_2,V_x_2,V_f_2,T_a,T_b] : hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_a),V_f_2),V_x_2),V_y_2),V_x_2) = V_y_2 ). % 158.64/158.61 % 158.64/158.61 fof(fact_fun__upd__apply,axiom, % 158.64/158.61 ! [V_y_2,V_f_2,T_b,T_a,V_x_2,V_z_2] : % 158.64/158.61 ( ( V_z_2 = V_x_2 % 158.64/158.61 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_z_2) = V_y_2 ) % 158.64/158.61 & ( V_z_2 != V_x_2 % 158.64/158.61 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_fun__upd__twist,axiom, % 158.64/158.61 ! [V_d_2,V_b_2,V_m_2,T_b,T_a,V_ca_2,V_a_2] : % 158.64/158.61 ( V_a_2 != V_ca_2 % 158.64/158.61 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_m_2),V_a_2),V_b_2)),V_ca_2),V_d_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_m_2),V_ca_2),V_d_2)),V_a_2),V_b_2) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_fun__upd__other,axiom, % 158.64/158.61 ! [V_y_2,V_f_2,T_b,T_a,V_x_2,V_z_2] : % 158.64/158.61 ( V_z_2 != V_x_2 % 158.64/158.61 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_fun__upd__idem,axiom, % 158.64/158.61 ! [T_a,T_b,V_y_2,V_x_2,V_f_2] : % 158.64/158.61 ( hAPP(V_f_2,V_x_2) = V_y_2 % 158.64/158.61 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_a),V_f_2),V_x_2),V_y_2) = V_f_2 ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_subset__refl,axiom, % 158.64/158.61 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2)) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Un__upper1,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Un__upper2,axiom, % 158.64/158.61 ! [V_A_2,V_B_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Un__absorb,axiom, % 158.64/158.61 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ). % 158.64/158.61 % 158.64/158.61 fof(fact_Diff__subset,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ). % 158.64/158.61 % 158.64/158.61 fof(fact_le__fun__def,axiom, % 158.64/158.61 ! [V_g_2,V_f_2,T_a,T_b] : % 158.64/158.61 ( class_Orderings_Oord(T_b) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 158.64/158.61 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_mem__def,axiom, % 158.64/158.61 ! [V_A_2,V_x_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.61 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Un__commute,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ). % 158.64/158.61 % 158.64/158.61 fof(fact_linorder__linear,axiom, % 158.64/158.61 ! [V_y,V_x,T_a] : % 158.64/158.61 ( class_Orderings_Olinorder(T_a) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.64/158.61 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_subset__Un__eq,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.61 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_set__eq__subset,axiom, % 158.64/158.61 ! [T_a,V_B_2,V_A_2] : % 158.64/158.61 ( V_A_2 = V_B_2 % 158.64/158.61 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.61 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_order__eq__iff,axiom, % 158.64/158.61 ! [V_y_2,V_x_2,T_a] : % 158.64/158.61 ( class_Orderings_Oorder(T_a) % 158.64/158.61 => ( V_x_2 = V_y_2 % 158.64/158.61 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 158.64/158.61 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Un__Diff__cancel,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Un__left__absorb,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Un__left__commute,axiom, % 158.64/158.61 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Diff__iff,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.61 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.61 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Un__iff,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.61 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.61 | hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Diff__idemp,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Un__Diff__cancel2,axiom, % 158.64/158.61 ! [V_A_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Diff__subset__conv,axiom, % 158.64/158.61 ! [V_C_2,V_B_2,V_A_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) % 158.64/158.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Un__assoc,axiom, % 158.64/158.61 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Un__Diff,axiom, % 158.64/158.61 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 158.64/158.61 % 158.64/158.61 fof(fact_bex__Un,axiom, % 158.64/158.61 ! [V_P_2,V_B_2,V_A_2,T_a] : % 158.64/158.61 ( ? [B_x] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.61 & hBOOL(hAPP(V_P_2,B_x)) ) % 158.64/158.61 <=> ( ? [B_x] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.64/158.61 & hBOOL(hAPP(V_P_2,B_x)) ) % 158.64/158.61 | ? [B_x] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2)) % 158.64/158.61 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_ball__Un,axiom, % 158.64/158.61 ! [V_P_2,V_B_2,V_A_2,T_a] : % 158.64/158.61 ( ! [B_x] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.61 => hBOOL(hAPP(V_P_2,B_x)) ) % 158.64/158.61 <=> ( ! [B_x] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.64/158.61 => hBOOL(hAPP(V_P_2,B_x)) ) % 158.64/158.61 & ! [B_x] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2)) % 158.64/158.61 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_equalityD1,axiom, % 158.64/158.61 ! [T_a,V_B_2,V_A_2] : % 158.64/158.61 ( V_A_2 = V_B_2 % 158.64/158.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_equalityD2,axiom, % 158.64/158.61 ! [T_a,V_B_2,V_A_2] : % 158.64/158.61 ( V_A_2 = V_B_2 % 158.64/158.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_order__eq__refl,axiom, % 158.64/158.61 ! [V_y,V_x,T_a] : % 158.64/158.61 ( class_Orderings_Opreorder(T_a) % 158.64/158.61 => ( V_x = V_y % 158.64/158.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_UnI1,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_UnI2,axiom, % 158.64/158.61 ! [V_A_2,V_B_2,V_ca_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_le__funD,axiom, % 158.64/158.61 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] : % 158.64/158.61 ( class_Orderings_Oord(T_b) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Un__absorb1,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.61 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Un__absorb2,axiom, % 158.64/158.61 ! [V_A_2,V_B_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 158.64/158.61 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_eqset__imp__iff,axiom, % 158.64/158.61 ! [V_x_2,T_a,V_B_2,V_A_2] : % 158.64/158.61 ( V_A_2 = V_B_2 % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.61 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_eqelem__imp__iff,axiom, % 158.64/158.61 ! [V_A_2,T_a,V_y_2,V_x_2] : % 158.64/158.61 ( V_x_2 = V_y_2 % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.61 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_in__mono,axiom, % 158.64/158.61 ! [V_x_2,V_B_2,V_A_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_order__antisym__conv,axiom, % 158.64/158.61 ! [V_x_2,V_y_2,T_a] : % 158.64/158.61 ( class_Orderings_Oorder(T_a) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 158.64/158.61 <=> V_x_2 = V_y_2 ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_Diff__partition,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.61 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_eq__mem__trans,axiom, % 158.64/158.61 ! [V_A_2,T_a,V_b_2,V_a_2] : % 158.64/158.61 ( V_a_2 = V_b_2 % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2)) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_ord__eq__le__trans,axiom, % 158.64/158.61 ! [V_c,V_b,V_a,T_a] : % 158.64/158.61 ( class_Orderings_Oord(T_a) % 158.64/158.61 => ( V_a = V_b % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_xt1_I3_J,axiom, % 158.64/158.61 ! [V_c,V_b,V_a,T_a] : % 158.64/158.61 ( class_Orderings_Oorder(T_a) % 158.64/158.61 => ( V_a = V_b % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b)) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_set__rev__mp,axiom, % 158.64/158.61 ! [V_B_2,V_A_2,V_x_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_set__mp,axiom, % 158.64/158.61 ! [V_x_2,V_B_2,V_A_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_subset__trans,axiom, % 158.64/158.61 ! [V_C_2,V_B_2,V_A_2,T_a] : % 158.64/158.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 158.64/158.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_ord__le__eq__trans,axiom, % 158.64/158.61 ! [V_c,V_b,V_a,T_a] : % 158.64/158.61 ( class_Orderings_Oord(T_a) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.64/158.61 => ( V_b = V_c % 158.64/158.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_xt1_I4_J,axiom, % 158.64/158.61 ! [V_c,V_a,V_b,T_a] : % 158.64/158.61 ( class_Orderings_Oorder(T_a) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 158.64/158.61 => ( V_b = V_c % 158.64/158.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 158.64/158.61 % 158.64/158.61 fof(fact_order__antisym,axiom, % 158.64/158.61 ! [V_y,V_x,T_a] : % 158.64/158.61 ( class_Orderings_Oorder(T_a) % 158.64/158.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 158.64/158.62 => V_x = V_y ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_order__trans,axiom, % 158.64/158.62 ! [V_z,V_y,V_x,T_a] : % 158.64/158.62 ( class_Orderings_Opreorder(T_a) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_xt1_I5_J,axiom, % 158.64/158.62 ! [V_x,V_y,T_a] : % 158.64/158.62 ( class_Orderings_Oorder(T_a) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.64/158.62 => V_x = V_y ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_xt1_I6_J,axiom, % 158.64/158.62 ! [V_z,V_x,V_y,T_a] : % 158.64/158.62 ( class_Orderings_Oorder(T_a) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_Un__least,axiom, % 158.64/158.62 ! [V_B_2,V_C_2,V_A_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_Un__mono,axiom, % 158.64/158.62 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2)) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_Diff__mono,axiom, % 158.64/158.62 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_D_2),V_B_2)) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_double__diff,axiom, % 158.64/158.62 ! [V_C_2,V_B_2,V_A_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 158.64/158.62 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_equalityE,axiom, % 158.64/158.62 ! [T_a,V_B_2,V_A_2] : % 158.64/158.62 ( V_A_2 = V_B_2 % 158.64/158.62 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.62 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_le__funE,axiom, % 158.64/158.62 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] : % 158.64/158.62 ( class_Orderings_Oord(T_b) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_DiffD1,axiom, % 158.64/158.62 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_DiffD2,axiom, % 158.64/158.62 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.62 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_linorder__le__cases,axiom, % 158.64/158.62 ! [V_y,V_x,T_a] : % 158.64/158.62 ( class_Orderings_Olinorder(T_a) % 158.64/158.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_insert__Diff1,axiom, % 158.64/158.62 ! [V_A_2,V_B_2,V_x_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) % 158.64/158.62 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_insert__Diff__if,axiom, % 158.64/158.62 ! [V_A_2,V_B_2,V_x_2,T_a] : % 158.64/158.62 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) % 158.64/158.62 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) % 158.64/158.62 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) % 158.64/158.62 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_subset__insert,axiom, % 158.64/158.62 ! [V_B_2,V_A_2,V_x_2,T_a] : % 158.64/158.62 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2))) % 158.64/158.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_insert__subset,axiom, % 158.64/158.62 ! [V_B_2,V_A_2,V_x_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2)) % 158.64/158.62 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) % 158.64/158.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_option__map__o__map__upd,axiom, % 158.64/158.62 ! [V_b_2,V_a_2,V_m_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_c)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),V_b_2))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),V_m_2)),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),hAPP(V_f_2,V_b_2))) ). % 158.64/158.62 % 158.64/158.62 fof(fact_subset__insert__iff,axiom, % 158.64/158.62 ! [V_B_2,V_x_2,V_A_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2))) % 158.64/158.62 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2)) ) % 158.64/158.62 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_diff__single__insert,axiom, % 158.64/158.62 ! [V_B_2,V_x_2,V_A_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2))) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_ranI,axiom, % 158.64/158.62 ! [T_b,V_b_2,T_a,V_a_2,V_m_2] : % 158.64/158.62 ( hAPP(V_m_2,V_a_2) = hAPP(c_Option_Ooption_OSome(T_a),V_b_2) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Map_Oran(T_b,T_a,V_m_2))) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_fun__upd__def,axiom, % 158.64/158.62 ! [V_b_2,V_f_2,T_b,T_a,V_a_2,V_x_2] : % 158.64/158.62 ( ( V_x_2 = V_a_2 % 158.64/158.62 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_a_2),V_b_2),V_x_2) = V_b_2 ) % 158.64/158.62 & ( V_x_2 != V_a_2 % 158.64/158.62 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_a_2),V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_Diff__insert__absorb,axiom, % 158.64/158.62 ! [V_A_2,V_x_2,T_a] : % 158.64/158.62 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_A_2 ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_insert__Diff,axiom, % 158.64/158.62 ! [V_A_2,V_a_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.62 => hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = V_A_2 ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_empty__Diff,axiom, % 158.64/158.62 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.62 % 158.64/158.62 fof(fact_Diff__empty,axiom, % 158.64/158.62 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ). % 158.64/158.62 % 158.64/158.62 fof(fact_Diff__cancel,axiom, % 158.64/158.62 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.62 % 158.64/158.62 fof(fact_finite__Diff2,axiom, % 158.64/158.62 ! [V_A_2,V_B_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.62 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_Un__empty__left,axiom, % 158.64/158.62 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = V_B_2 ). % 158.64/158.62 % 158.64/158.62 fof(fact_Un__empty__right,axiom, % 158.64/158.62 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ). % 158.64/158.62 % 158.64/158.62 fof(fact_Un__empty,axiom, % 158.64/158.62 ! [V_B_2,V_A_2,T_a] : % 158.64/158.62 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.62 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.62 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_finite__UnI,axiom, % 158.64/158.62 ! [V_Ga_2,V_F_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Ga_2)) % 158.64/158.62 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_finite__Un,axiom, % 158.64/158.62 ! [V_Ga_2,V_F_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_Ga_2))) % 158.64/158.62 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 158.64/158.62 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Ga_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_Un__insert__right,axiom, % 158.64/158.62 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 158.64/158.62 % 158.64/158.62 fof(fact_Un__insert__left,axiom, % 158.64/158.62 ! [V_C_2,V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 158.64/158.62 % 158.64/158.62 fof(fact_bot__least,axiom, % 158.64/158.62 ! [V_x,T_a] : % 158.64/158.62 ( class_Orderings_Obot(T_a) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_all__not__in__conv,axiom, % 158.64/158.62 ! [V_A_2,T_a] : % 158.64/158.62 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.64/158.62 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_ex__in__conv,axiom, % 158.64/158.62 ! [V_A_2,T_a] : % 158.64/158.62 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.64/158.62 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_empty__iff,axiom, % 158.64/158.62 ! [V_ca_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ). % 158.64/158.62 % 158.64/158.62 fof(fact_equals0D,axiom, % 158.64/158.62 ! [V_a_2,T_a,V_A_2] : % 158.64/158.62 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.62 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_subset__empty,axiom, % 158.64/158.62 ! [V_A_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 158.64/158.62 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_finite__subset,axiom, % 158.64/158.62 ! [V_B_2,V_A_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.62 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_rev__finite__subset,axiom, % 158.64/158.62 ! [V_A_2,V_B_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.62 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_insertI1,axiom, % 158.64/158.62 ! [V_B_2,V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) ). % 158.64/158.62 % 158.64/158.62 fof(fact_insert__iff,axiom, % 158.64/158.62 ! [V_A_2,V_b_2,V_a_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2))) % 158.64/158.62 <=> ( V_a_2 = V_b_2 % 158.64/158.62 | hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_insert__ident,axiom, % 158.64/158.62 ! [V_B_2,V_A_2,V_x_2,T_a] : % 158.64/158.62 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) % 158.64/158.62 => ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2) % 158.64/158.62 <=> V_A_2 = V_B_2 ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_insertI2,axiom, % 158.64/158.62 ! [V_b_2,V_B_2,V_a_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2)) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_insert__absorb,axiom, % 158.64/158.62 ! [V_A_2,V_a_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.62 => hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) = V_A_2 ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_map__upd__Some__unfold,axiom, % 158.64/158.62 ! [V_y_2,V_x_2,V_b_2,V_a_2,V_m_2,T_a,T_b] : % 158.64/158.62 ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_a),V_b_2)),V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) % 158.64/158.62 <=> ( ( V_x_2 = V_a_2 % 158.64/158.62 & V_b_2 = V_y_2 ) % 158.64/158.62 | ( V_x_2 != V_a_2 % 158.64/158.62 & hAPP(V_m_2,V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_map__upd__triv,axiom, % 158.64/158.62 ! [T_b,V_x_2,T_a,V_k_2,V_t_2] : % 158.64/158.62 ( hAPP(V_t_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) % 158.64/158.62 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_t_2),V_k_2),hAPP(c_Option_Ooption_OSome(T_a),V_x_2)) = V_t_2 ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_map__upd__eqD1,axiom, % 158.64/158.62 ! [V_y_2,V_n_2,V_x_2,V_a_2,V_m_2,T_b,T_a] : % 158.64/158.62 ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_n_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)) % 158.64/158.62 => V_x_2 = V_y_2 ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_subset__insertI,axiom, % 158.64/158.62 ! [V_a_2,V_B_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) ). % 158.64/158.62 % 158.64/158.62 fof(fact_subset__insertI2,axiom, % 158.64/158.62 ! [V_b_2,V_B_2,V_A_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_insert__mono,axiom, % 158.64/158.62 ! [V_a_2,V_D_2,V_C_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2)) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_D_2))) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_asm,axiom, % 158.64/158.62 ! [V_Ga_2,V_ts_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_ts_2),V_Ga_2)) % 158.64/158.62 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_weaken,axiom, % 158.64/158.62 ! [V_ts_2,V_ts_H_2,V_Ga_2,T_a] : % 158.64/158.62 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_H_2) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_ts_2),V_ts_H_2)) % 158.64/158.62 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_thin,axiom, % 158.64/158.62 ! [V_Ga_2,V_ts_2,V_G_H_2,T_a] : % 158.64/158.62 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_H_2,V_ts_2) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_G_H_2),V_Ga_2)) % 158.64/158.62 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_option__map__comp,axiom, % 158.64/158.62 ! [V_opt_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_Option_Omap(T_c,T_b),V_g_2),V_opt_2)) = hAPP(hAPP(c_Option_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_opt_2) ). % 158.64/158.62 % 158.64/158.62 fof(fact_Option_Omap_Ocompositionality,axiom, % 158.64/158.62 ! [V_option_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_Option_Omap(T_c,T_b),V_g_2),V_option_2)) = hAPP(hAPP(c_Option_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_option_2) ). % 158.64/158.62 % 158.64/158.62 fof(fact_Option_Omap_Ocomp,axiom, % 158.64/158.62 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),tc_Option_Ooption(T_a),hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(c_Option_Omap(T_a,T_c),V_g_2)) = hAPP(c_Option_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ). % 158.64/158.62 % 158.64/158.62 fof(fact_empty__upd__none,axiom, % 158.64/158.62 ! [V_xa_2,V_x_2,T_a,T_b] : hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a))),V_x_2),c_Option_Ooption_ONone(T_a)),V_xa_2) = c_Option_Ooption_ONone(T_a) ). % 158.64/158.62 % 158.64/158.62 fof(fact_option__map__None,axiom, % 158.64/158.62 ! [V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),c_Option_Ooption_ONone(T_b)) = c_Option_Ooption_ONone(T_a) ). % 158.64/158.62 % 158.64/158.62 fof(fact_option__map__is__None,axiom, % 158.64/158.62 ! [V_opt_2,V_f_2,T_a,T_b] : % 158.64/158.62 ( hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),V_opt_2) = c_Option_Ooption_ONone(T_a) % 158.64/158.62 <=> V_opt_2 = c_Option_Ooption_ONone(T_b) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_option__map__Some,axiom, % 158.64/158.62 ! [V_x_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) = hAPP(c_Option_Ooption_OSome(T_a),hAPP(V_f_2,V_x_2)) ). % 158.64/158.62 % 158.64/158.62 fof(fact_option__map__eq__Some,axiom, % 158.64/158.62 ! [V_y_2,V_xo_2,V_f_2,T_a,T_b] : % 158.64/158.62 ( hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),V_xo_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) % 158.64/158.62 <=> ? [B_z] : % 158.64/158.62 ( V_xo_2 = hAPP(c_Option_Ooption_OSome(T_b),B_z) % 158.64/158.62 & hAPP(V_f_2,B_z) = V_y_2 ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_fun__upd__comp,axiom, % 158.64/158.62 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_c),V_g_2),V_x_2),V_y_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)),V_x_2),hAPP(V_f_2,V_y_2)) ). % 158.64/158.62 % 158.64/158.62 fof(fact_dom__fun__upd,axiom, % 158.64/158.62 ! [V_x_2,V_f_2,T_b,T_a,V_y_2] : % 158.64/158.62 ( ( V_y_2 = c_Option_Ooption_ONone(T_a) % 158.64/158.62 => c_Map_Odom(T_b,T_a,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_f_2),V_x_2),V_y_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_a,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)))) ) % 158.64/158.62 & ( V_y_2 != c_Option_Ooption_ONone(T_a) % 158.64/158.62 => c_Map_Odom(T_b,T_a,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_f_2),V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Map_Odom(T_b,T_a,V_f_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_option__map__o__empty,axiom, % 158.64/158.62 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_b),tc_Option_Ooption(T_a),T_c,hAPP(c_Option_Omap(T_b,T_a),V_f_2)),hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b))),V_x_2) = c_Option_Ooption_ONone(T_a) ). % 158.64/158.62 % 158.64/158.62 fof(fact_ran__map__upd,axiom, % 158.64/158.62 ! [V_b_2,T_b,T_a,V_a_2,V_m_2] : % 158.64/158.62 ( hAPP(V_m_2,V_a_2) = c_Option_Ooption_ONone(T_a) % 158.64/158.62 => c_Map_Oran(T_b,T_a,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_a),V_b_2))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Map_Oran(T_b,T_a,V_m_2)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_Diff__insert,axiom, % 158.64/158.62 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ). % 158.64/158.62 % 158.64/158.62 fof(fact_Diff__insert2,axiom, % 158.64/158.62 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2) ). % 158.64/158.62 % 158.64/158.62 fof(fact_insert__Diff__single,axiom, % 158.64/158.62 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) ). % 158.64/158.62 % 158.64/158.62 fof(fact_finite__Diff__insert,axiom, % 158.64/158.62 ! [V_B_2,V_a_2,V_A_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)))) % 158.64/158.62 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_insert__is__Un,axiom, % 158.64/158.62 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_A_2) ). % 158.64/158.62 % 158.64/158.62 fof(fact_dom__option__map,axiom, % 158.64/158.62 ! [V_m_2,V_f_2,T_c,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(hAPP(c_COMBS(T_a,tc_Option_Ooption(T_c),tc_Option_Ooption(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b)),T_a),c_Option_Omap(T_c,T_b)),V_f_2)),V_m_2)) = c_Map_Odom(T_a,T_c,V_m_2) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding__one_Oremove,axiom, % 158.64/158.62 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.62 => hAPP(V_F_2,V_A_2) = V_x_2 ) % 158.64/158.62 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.62 => 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_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_singleton__iff,axiom, % 158.64/158.62 ! [V_a_2,V_b_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) % 158.64/158.62 <=> V_b_2 = V_a_2 ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_singletonE,axiom, % 158.64/158.62 ! [V_a_2,V_b_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) % 158.64/158.62 => V_b_2 = V_a_2 ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_subset__singletonD,axiom, % 158.64/158.62 ! [V_x_2,V_A_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) % 158.64/158.62 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.62 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_domIff,axiom, % 158.64/158.62 ! [V_m_2,T_b,V_a_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Map_Odom(T_a,T_b,V_m_2))) % 158.64/158.62 <=> hAPP(V_m_2,V_a_2) != c_Option_Ooption_ONone(T_b) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_domI,axiom, % 158.64/158.62 ! [T_b,V_b_2,T_a,V_a_2,V_m_2] : % 158.64/158.62 ( hAPP(V_m_2,V_a_2) = hAPP(c_Option_Ooption_OSome(T_a),V_b_2) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Map_Odom(T_b,T_a,V_m_2))) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_map__upd__nonempty,axiom, % 158.64/158.62 ! [V_x_2,V_k_2,V_t_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_t_2),V_k_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) != hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b)) ). % 158.64/158.62 % 158.64/158.62 fof(fact_map__comp__simps_I1_J,axiom, % 158.64/158.62 ! [V_m1_2,T_b,T_c,T_a,V_k_2,V_m2_2] : % 158.64/158.62 ( hAPP(V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_a) % 158.64/158.62 => c_Map_Omap__comp(T_a,T_c,T_b,V_m1_2,V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_c) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_map__comp__Some__iff,axiom, % 158.64/158.62 ! [V_v_2,V_k_2,V_m2_2,V_m1_2,T_c,T_a,T_b] : % 158.64/158.62 ( c_Map_Omap__comp(T_b,T_a,T_c,V_m1_2,V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_v_2) % 158.64/158.62 <=> ? [B_k_H] : % 158.64/158.62 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),B_k_H) % 158.64/158.62 & hAPP(V_m1_2,B_k_H) = hAPP(c_Option_Ooption_OSome(T_a),V_v_2) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_map__comp__simps_I2_J,axiom, % 158.64/158.62 ! [V_m1_2,T_b,T_c,V_k_H_2,T_a,V_k_2,V_m2_2] : % 158.64/158.62 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_k_H_2) % 158.64/158.62 => c_Map_Omap__comp(T_a,T_c,T_b,V_m1_2,V_m2_2,V_k_2) = hAPP(V_m1_2,V_k_H_2) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding__one__idem_Oin__idem,axiom, % 158.64/158.62 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding__image__simple__idem_Ounion__idem,axiom, % 158.64/158.62 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 158.64/158.62 => 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)) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding__image__simple__idem_Oin__idem,axiom, % 158.64/158.62 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 158.64/158.62 => 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) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding__image__simple__idem_Osubset__idem,axiom, % 158.64/158.62 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 158.64/158.62 => 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) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_elem__set,axiom, % 158.64/158.62 ! [V_xo_2,V_x_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Option_Oset(T_a,V_xo_2))) % 158.64/158.62 <=> V_xo_2 = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_dom__minus,axiom, % 158.64/158.62 ! [V_A_2,T_b,T_a,V_x_2,V_f_2] : % 158.64/158.62 ( hAPP(V_f_2,V_x_2) = c_Option_Ooption_ONone(T_a) % 158.64/158.62 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_a,V_f_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_a,V_f_2)),V_A_2) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_map__comp__def,axiom, % 158.64/158.62 ! [V_k_2,V_g_2,V_f_2,T_c,T_a,T_b] : c_Map_Omap__comp(T_b,T_a,T_c,V_f_2,V_g_2,V_k_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_a),T_b,c_Option_Ooption_ONone(T_a),V_f_2),hAPP(V_g_2,V_k_2)) ). % 158.64/158.62 % 158.64/158.62 fof(fact_map__comp__empty_I1_J,axiom, % 158.64/158.62 ! [V_x_2,V_m_2,T_c,T_a,T_b] : c_Map_Omap__comp(T_b,T_a,T_c,V_m_2,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b)),V_x_2) = c_Option_Ooption_ONone(T_a) ). % 158.64/158.62 % 158.64/158.62 fof(fact_map__comp__empty_I2_J,axiom, % 158.64/158.62 ! [V_x_2,V_m_2,T_c,T_a,T_b] : c_Map_Omap__comp(T_b,T_a,T_c,hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a)),V_m_2,V_x_2) = c_Option_Ooption_ONone(T_a) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding__one__idem_Ounion__idem,axiom, % 158.64/158.62 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.62 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.62 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.62 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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)) ) ) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding_Oremove,axiom, % 158.64/158.62 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup1CI,axiom, % 158.64/158.62 ! [T_a,V_A_2,V_x_2,V_B_2] : % 158.64/158.62 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2)) % 158.64/158.62 => hBOOL(hAPP(V_A_2,V_x_2)) ) % 158.64/158.62 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup1E,axiom, % 158.64/158.62 ! [V_x_2,V_B_2,V_A_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 158.64/158.62 => ( ~ hBOOL(hAPP(V_A_2,V_x_2)) % 158.64/158.62 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding__image__simple_Oremove,axiom, % 158.64/158.62 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 158.64/158.62 => 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_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)))))) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_fun__diff__def,axiom, % 158.64/158.62 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] : % 158.64/158.62 ( class_Groups_Ominus(T_a) % 158.64/158.62 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__fun__def,axiom, % 158.64/158.62 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( class_Lattices_Olattice(T_a) % 158.64/158.62 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__Un__eq,axiom, % 158.64/158.62 ! [V_x_2,V_S_2,V_R_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)),V_x_2)) % 158.64/158.62 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_pred__subset__eq,axiom, % 158.64/158.62 ! [V_S_2,V_R_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2))) % 158.64/158.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_flat__lub__def,axiom, % 158.64/158.62 ! [V_b_2,V_A_2,T_a] : % 158.64/158.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) % 158.64/158.62 => c_Partial__Function_Oflat__lub(T_a,V_b_2,V_A_2) = V_b_2 ) % 158.64/158.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) % 158.64/158.62 => c_Partial__Function_Oflat__lub(T_a,V_b_2,V_A_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_bot__empty__eq,axiom, % 158.64/158.62 ! [V_x_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_x_2)) % 158.64/158.62 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_Body1,axiom, % 158.64/158.62 ! [V_pn_2,V_Procs_2,V_Q_2,V_P_2,V_Ga_2,T_a] : % 158.64/158.62 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_Ga_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),V_Procs_2)) % 158.64/158.62 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(V_P_2,V_pn_2)),hAPP(c_Com_Ocom_OBODY,V_pn_2)),hAPP(V_Q_2,V_pn_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_image__eqI,axiom, % 158.64/158.62 ! [T_a,V_A_2,T_b,V_x_2,V_f_2,V_b_2] : % 158.64/158.62 ( V_b_2 = hAPP(V_f_2,V_x_2) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_finite__imageI,axiom, % 158.64/158.62 ! [V_h_2,T_b,V_F_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 158.64/158.62 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_h_2),V_F_2))) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_image__ident,axiom, % 158.64/158.62 ! [V_Y_2,T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_COMBI(T_a)),V_Y_2) = V_Y_2 ). % 158.64/158.62 % 158.64/158.62 fof(fact_image__image,axiom, % 158.64/158.62 ! [V_A_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_c,T_a,hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_f_2),V_g_2)),V_A_2) ). % 158.64/158.62 % 158.64/158.62 fof(fact_rev__image__eqI,axiom, % 158.64/158.62 ! [T_b,V_f_2,V_b_2,V_A_2,V_x_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => ( V_b_2 = hAPP(V_f_2,V_x_2) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_imageI,axiom, % 158.64/158.62 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_image__iff,axiom, % 158.64/158.62 ! [V_A_2,V_f_2,T_b,V_z_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) % 158.64/158.62 <=> ? [B_x] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 158.64/158.62 & V_z_2 = hAPP(V_f_2,B_x) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_image__is__empty,axiom, % 158.64/158.62 ! [V_A_2,V_f_2,T_a,T_b] : % 158.64/158.62 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.62 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_image__empty,axiom, % 158.64/158.62 ! [V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.62 % 158.64/158.62 fof(fact_empty__is__image,axiom, % 158.64/158.62 ! [V_A_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) % 158.64/158.62 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_image__insert,axiom, % 158.64/158.62 ! [V_B_2,V_a_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)) ). % 158.64/158.62 % 158.64/158.62 fof(fact_image__mono,axiom, % 158.64/158.62 ! [V_f_2,T_b,V_B_2,V_A_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2))) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_subset__image__iff,axiom, % 158.64/158.62 ! [V_A_2,V_f_2,T_b,V_B_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) % 158.64/158.62 <=> ? [B_AA] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_AA),V_A_2)) % 158.64/158.62 & V_B_2 = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),B_AA) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_image__Un,axiom, % 158.64/158.62 ! [V_B_2,V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,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_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)) ). % 158.64/158.62 % 158.64/158.62 fof(fact_image__compose,axiom, % 158.64/158.62 ! [V_r_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_a,T_b,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_c,T_a,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_r_2)) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding_Ocommute__comps_I1_J,axiom, % 158.64/158.62 ! [V_h_2,V_g_2,T_f,V_f_2,T_c,T_d,T_e,V_F_2,V_fa_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding(T_a,T_b,V_fa_2,V_F_2) % 158.64/158.62 => hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_f_2),hAPP(c_Fun_Ocomp(T_f,T_e,T_c,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_f,T_d,T_c,hAPP(c_Fun_Ocomp(T_e,T_d,T_f,V_f_2),V_g_2)),V_h_2) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding_Ocommute__comp,axiom, % 158.64/158.62 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 158.64/158.62 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding_Ocommute__left__comp,axiom, % 158.64/158.62 ! [V_g_2,V_x_2,V_y_2,T_c,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 158.64/158.62 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_y_2)),V_g_2)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_insert__image,axiom, % 158.64/158.62 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_finite__surj,axiom, % 158.64/158.62 ! [V_f_2,V_B_2,T_b,V_A_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) % 158.64/158.62 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_image__diff__subset,axiom, % 158.64/158.62 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding__image__simple_Oempty,axiom, % 158.64/158.62 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 158.64/158.62 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_image__constant__conv,axiom, % 158.64/158.62 ! [V_ca_2,T_b,T_a,V_A_2] : % 158.64/158.62 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.62 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 158.64/158.62 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.62 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_image__constant,axiom, % 158.64/158.62 ! [V_ca_2,T_b,V_A_2,V_x_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_eq__mem,axiom, % 158.64/158.62 ! [V_y_2,V_x_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_fequal,V_y_2))) % 158.64/158.62 <=> V_x_2 = V_y_2 ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding_Ocommute__comp_H,axiom, % 158.64/158.62 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.62 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding_Ocommute__left__comp_H,axiom, % 158.64/158.62 ! [V_g_2,V_x_2,T_c,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.62 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding_Ocommute__comp_H_H,axiom, % 158.64/158.62 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.62 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding_Ocommute__left__comp_H_H,axiom, % 158.64/158.62 ! [V_g_2,T_c,V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.62 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup_Oidem,axiom, % 158.64/158.62 ! [V_a,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__idem,axiom, % 158.64/158.62 ! [V_x,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup_Ocommute,axiom, % 158.64/158.62 ! [V_b,V_a,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => 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) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_inf__sup__aci_I5_J,axiom, % 158.64/158.62 ! [V_y,V_x,T_a] : % 158.64/158.62 ( class_Lattices_Olattice(T_a) % 158.64/158.62 => 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) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__commute,axiom, % 158.64/158.62 ! [V_y,V_x,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => 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) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup_Oleft__idem,axiom, % 158.64/158.62 ! [V_b,V_a,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => 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) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_inf__sup__aci_I8_J,axiom, % 158.64/158.62 ! [V_y,V_x,T_a] : % 158.64/158.62 ( class_Lattices_Olattice(T_a) % 158.64/158.62 => 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) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__left__idem,axiom, % 158.64/158.62 ! [V_y,V_x,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => 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) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup_Oleft__commute,axiom, % 158.64/158.62 ! [V_c,V_a,V_b,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => 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)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_inf__sup__aci_I7_J,axiom, % 158.64/158.62 ! [V_z,V_y,V_x,T_a] : % 158.64/158.62 ( class_Lattices_Olattice(T_a) % 158.64/158.62 => 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)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__left__commute,axiom, % 158.64/158.62 ! [V_z,V_y,V_x,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => 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)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup_Oassoc,axiom, % 158.64/158.62 ! [V_c,V_b,V_a,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => 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)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_inf__sup__aci_I6_J,axiom, % 158.64/158.62 ! [V_z,V_y,V_x,T_a] : % 158.64/158.62 ( class_Lattices_Olattice(T_a) % 158.64/158.62 => 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)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__assoc,axiom, % 158.64/158.62 ! [V_z,V_y,V_x,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => 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)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_rev__predicate1D,axiom, % 158.64/158.62 ! [V_Q_2,T_a,V_x_2,V_P_2] : % 158.64/158.62 ( hBOOL(hAPP(V_P_2,V_x_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_P_2),V_Q_2)) % 158.64/158.62 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_predicate1D,axiom, % 158.64/158.62 ! [V_x_2,V_Q_2,V_P_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_P_2),V_Q_2)) % 158.64/158.62 => ( hBOOL(hAPP(V_P_2,V_x_2)) % 158.64/158.62 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup1I1,axiom, % 158.64/158.62 ! [V_B_2,T_a,V_x_2,V_A_2] : % 158.64/158.62 ( hBOOL(hAPP(V_A_2,V_x_2)) % 158.64/158.62 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup1I2,axiom, % 158.64/158.62 ! [V_A_2,T_a,V_x_2,V_B_2] : % 158.64/158.62 ( hBOOL(hAPP(V_B_2,V_x_2)) % 158.64/158.62 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_pred__equals__eq,axiom, % 158.64/158.62 ! [V_S_2,V_R_2,T_a] : % 158.64/158.62 ( hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2) = hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2) % 158.64/158.62 <=> V_R_2 = V_S_2 ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_fun__upd__image,axiom, % 158.64/158.62 ! [V_y_2,V_f_2,T_b,V_A_2,V_x_2,T_a] : % 158.64/158.62 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) % 158.64/158.62 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding__image__simple_Oinsert,axiom, % 158.64/158.62 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.62 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 158.64/158.62 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),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)) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_hoare__derivs_OBody,axiom, % 158.64/158.62 ! [V_Procs_2,V_Q_2,V_P_2,V_Ga_2,T_a] : % 158.64/158.62 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_Ga_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2)) % 158.64/158.62 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding_Oinsert,axiom, % 158.64/158.62 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.62 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_Body__sound__lemma,axiom, % 158.64/158.62 ! [V_Procs_2,V_Q_2,V_P_2,V_Ga_2,T_a] : % 158.64/158.62 ( c_Hoare__Mirabelle_Ohoare__valids(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_Ga_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2)) % 158.64/158.62 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_Ga_2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_inf__sup__ord_I3_J,axiom, % 158.64/158.62 ! [V_y,V_x,T_a] : % 158.64/158.62 ( class_Lattices_Olattice(T_a) % 158.64/158.62 => 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))) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__ge1,axiom, % 158.64/158.62 ! [V_y,V_x,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => 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))) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_inf__sup__ord_I4_J,axiom, % 158.64/158.62 ! [V_x,V_y,T_a] : % 158.64/158.62 ( class_Lattices_Olattice(T_a) % 158.64/158.62 => 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))) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__ge2,axiom, % 158.64/158.62 ! [V_x,V_y,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => 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))) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_le__iff__sup,axiom, % 158.64/158.62 ! [V_y_2,V_x_2,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 158.64/158.62 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2) = V_y_2 ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_le__sup__iff,axiom, % 158.64/158.62 ! [V_z_2,V_y_2,V_x_2,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2)),V_z_2)) % 158.64/158.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) % 158.64/158.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_le__supI1,axiom, % 158.64/158.62 ! [V_b,V_a,V_x,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 158.64/158.62 => 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))) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_le__supI2,axiom, % 158.64/158.62 ! [V_a,V_b,V_x,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 158.64/158.62 => 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))) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__absorb2,axiom, % 158.64/158.62 ! [V_y,V_x,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.64/158.62 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__absorb1,axiom, % 158.64/158.62 ! [V_x,V_y,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 158.64/158.62 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_le__supI,axiom, % 158.64/158.62 ! [V_b,V_x,V_a,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 158.64/158.62 => 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)) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__least,axiom, % 158.64/158.62 ! [V_z,V_x,V_y,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 158.64/158.62 => 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)) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__mono,axiom, % 158.64/158.62 ! [V_d,V_b,V_c,V_a,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 158.64/158.62 => 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))) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_le__supE,axiom, % 158.64/158.62 ! [V_x,V_b,V_a,T_a] : % 158.64/158.62 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.62 => ( 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)) % 158.64/158.62 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 158.64/158.62 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__eq__bot__iff,axiom, % 158.64/158.62 ! [V_y_2,V_x_2,T_a] : % 158.64/158.62 ( class_Lattices_Obounded__lattice__bot(T_a) % 158.64/158.62 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_a) % 158.64/158.62 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_a) % 158.64/158.62 & V_y_2 = c_Orderings_Obot__class_Obot(T_a) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__bot__right,axiom, % 158.64/158.62 ! [V_x,T_a] : % 158.64/158.62 ( class_Lattices_Obounded__lattice__bot(T_a) % 158.64/158.62 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__bot__left,axiom, % 158.64/158.62 ! [V_x,T_a] : % 158.64/158.62 ( class_Lattices_Obounded__lattice__bot(T_a) % 158.64/158.62 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_sup__apply,axiom, % 158.64/158.62 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( class_Lattices_Olattice(T_a) % 158.64/158.62 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_minus__apply,axiom, % 158.64/158.62 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] : % 158.64/158.62 ( class_Groups_Ominus(T_a) % 158.64/158.62 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding__image__simple_Oinsert__remove,axiom, % 158.64/158.62 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.62 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),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_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)))))) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding_Oinsert__remove,axiom, % 158.64/158.62 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.62 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_finite__pointwise,axiom, % 158.64/158.62 ! [V_Q_2,V_P_2,V_Q_H_2,V_c0_2,V_P_H_2,V_Ga_2,T_b,V_U_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_U_2)) % 158.64/158.62 => ( ! [B_p] : % 158.64/158.62 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(V_P_H_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_H_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 158.64/158.62 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(V_P_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) % 158.64/158.62 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(c_Set_Oimage(T_a,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(T_a,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),T_a),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_P_H_2)),V_c0_2)),V_Q_H_2)),V_U_2)) % 158.64/158.62 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(c_Set_Oimage(T_a,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(T_a,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),T_a),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_P_2)),V_c0_2)),V_Q_2)),V_U_2)) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_fun__upd__None__restrict,axiom, % 158.64/158.62 ! [V_m_2,T_b,V_D_2,V_x_2,T_a] : % 158.64/158.62 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2)) % 158.64/158.62 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),c_Option_Ooption_ONone(T_b)) = c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ) % 158.64/158.62 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2)) % 158.64/158.62 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),c_Option_Ooption_ONone(T_b)) = c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_diff__eq__diff__less__eq,axiom, % 158.64/158.62 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 158.64/158.62 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.62 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_ca_2),V_d_2) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) % 158.64/158.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_d_2)) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding__one_Oclosed,axiom, % 158.64/158.62 ! [V_A_2,V_F_2,V_f_2,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.62 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.62 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 158.64/158.62 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_,axiom, % 158.64/158.62 ! [V_y_2,V_x_2,T_a] : c_Smallcheck_Oorelse(T_a,V_x_2,V_y_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_a),T_a,V_y_2,c_Option_Ooption_OSome(T_a)),V_x_2) ). % 158.64/158.62 % 158.64/158.62 fof(fact_fun__upd__restrict__conv,axiom, % 158.64/158.62 ! [V_y_2,V_m_2,T_b,V_D_2,V_x_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2)) % 158.64/158.62 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),V_y_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2),V_y_2) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_restrict__fun__upd,axiom, % 158.64/158.62 ! [V_y_2,V_m_2,T_b,V_D_2,V_x_2,T_a] : % 158.64/158.62 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2)) % 158.64/158.62 => c_Map_Orestrict__map(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),V_y_2),V_D_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2),V_y_2) ) % 158.64/158.62 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2)) % 158.64/158.62 => c_Map_Orestrict__map(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),V_y_2),V_D_2) = c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_finite__empty__induct,axiom, % 158.64/158.62 ! [V_P_2,V_A_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.62 => ( hBOOL(hAPP(V_P_2,V_A_2)) % 158.64/158.62 => ( ! [B_a,B_A] : % 158.64/158.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_A)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A)) % 158.64/158.62 => ( hBOOL(hAPP(V_P_2,B_A)) % 158.64/158.62 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_a),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) % 158.64/158.62 => hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_finite__subset__induct,axiom, % 158.64/158.62 ! [V_P_2,V_A_2,V_F_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_A_2)) % 158.64/158.62 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 158.64/158.62 => ( ! [B_a,B_F] : % 158.64/158.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_F)) % 158.64/158.62 => ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2)) % 158.64/158.62 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_F)) % 158.64/158.62 => ( hBOOL(hAPP(V_P_2,B_F)) % 158.64/158.62 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_F))) ) ) ) ) % 158.64/158.62 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_folding__one__idem_Ohom__commute,axiom, % 158.64/158.62 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_a] : % 158.64/158.62 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2) % 158.64/158.62 => ( ! [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)) % 158.64/158.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 158.64/158.62 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.62 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ). % 158.64/158.62 % 158.64/158.62 fof(fact_restrict__in,axiom, % 158.64/158.62 ! [V_m_2,T_b,V_A_2,V_x_2,T_a] : % 158.64/158.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.62 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ). % 158.64/158.62 % 158.64/158.63 fof(fact_restrict__map__empty,axiom, % 158.64/158.63 ! [V_x_2,V_D_2,T_a,T_b] : hAPP(c_Map_Orestrict__map(T_b,T_a,hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a)),V_D_2),V_x_2) = c_Option_Ooption_ONone(T_a) ). % 158.64/158.63 % 158.64/158.63 fof(fact_restrict__out,axiom, % 158.64/158.63 ! [V_m_2,T_b,V_A_2,V_x_2,T_a] : % 158.64/158.63 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.63 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = c_Option_Ooption_ONone(T_b) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_restrict__map__insert,axiom, % 158.64/158.63 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_f_2,V_A_2)),V_a_2),hAPP(V_f_2,V_a_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_image__map__upd,axiom, % 158.64/158.63 ! [V_y_2,V_m_2,T_b,V_A_2,V_x_2,T_a] : % 158.64/158.63 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.63 => hAPP(c_Set_Oimage(T_a,tc_Option_Ooption(T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2))),V_A_2) = hAPP(c_Set_Oimage(T_a,tc_Option_Ooption(T_b),V_m_2),V_A_2) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_restrict__map__def,axiom, % 158.64/158.63 ! [V_m_2,T_b,V_A_2,V_x_2,T_a] : % 158.64/158.63 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.63 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = hAPP(V_m_2,V_x_2) ) % 158.64/158.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.63 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = c_Option_Ooption_ONone(T_b) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_restrict__map__to__empty,axiom, % 158.64/158.63 ! [V_x_2,V_m_2,T_a,T_b] : hAPP(c_Map_Orestrict__map(T_b,T_a,V_m_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2) = c_Option_Ooption_ONone(T_a) ). % 158.64/158.63 % 158.64/158.63 fof(fact_diff__eq__diff__eq,axiom, % 158.64/158.63 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 158.64/158.63 ( class_Groups_Oab__group__add(T_a) % 158.64/158.63 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_ca_2),V_d_2) % 158.64/158.63 => ( V_a_2 = V_b_2 % 158.64/158.63 <=> V_ca_2 = V_d_2 ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fun__upd__restrict,axiom, % 158.64/158.63 ! [V_y_2,V_x_2,V_D_2,V_m_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),V_y_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2),V_y_2) ). % 158.64/158.63 % 158.64/158.63 fof(fact_ran__restrictD,axiom, % 158.64/158.63 ! [V_A_2,V_m_2,T_b,V_y_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),c_Map_Oran(T_b,T_a,c_Map_Orestrict__map(T_b,T_a,V_m_2,V_A_2)))) % 158.64/158.63 => ? [B_x] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 158.64/158.63 & hAPP(V_m_2,B_x) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fun__left__comm__idem__remove,axiom, % 158.64/158.63 ! [T_a] : c_Finite__Set_Ofun__left__comm__idem(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ). % 158.64/158.63 % 158.64/158.63 fof(fact_folding_Ounion,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.63 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.63 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.63 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_restrict__upd__same,axiom, % 158.64/158.63 ! [V_y_2,V_x_2,V_m_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ). % 158.64/158.63 % 158.64/158.63 fof(fact_restrict__complement__singleton__eq,axiom, % 158.64/158.63 ! [V_x_2,V_f_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,V_f_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_f_2),V_x_2),c_Option_Ooption_ONone(T_b)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fold1Set_Ointros,axiom, % 158.64/158.63 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,V_a_2,V_A_2),V_x_2)) % 158.64/158.63 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.63 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),V_x_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_psubset__insert__iff,axiom, % 158.64/158.63 ! [V_B_2,V_x_2,V_A_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2))) % 158.64/158.63 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 158.64/158.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) % 158.64/158.63 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2)) ) % 158.64/158.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_map__add__upd__left,axiom, % 158.64/158.63 ! [V_u1_2,V_e1_2,V_e2_2,T_b,V_m_2,T_a] : % 158.64/158.63 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_e2_2))) % 158.64/158.63 => c_Map_Omap__add(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_e1_2),V_m_2),hAPP(c_Option_Ooption_OSome(T_b),V_u1_2)),V_e2_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__add(T_a,T_b,V_e1_2,V_e2_2)),V_m_2),hAPP(c_Option_Ooption_OSome(T_b),V_u1_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_finite__induct,axiom, % 158.64/158.63 ! [V_P_2,V_F_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 158.64/158.63 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 158.64/158.63 => ( ! [B_x,B_F] : % 158.64/158.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_F)) % 158.64/158.63 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_F)) % 158.64/158.63 => ( hBOOL(hAPP(V_P_2,B_F)) % 158.64/158.63 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_a),B_x),B_F))) ) ) ) % 158.64/158.63 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fold__graph_H_Ointros_I2_J,axiom, % 158.64/158.63 ! [V_y_2,V_z_2,V_f_2,T_b,V_A_2,V_x_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.63 => ( c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_y_2) % 158.64/158.63 => c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf1E,axiom, % 158.64/158.63 ! [V_x_2,V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 158.64/158.63 => ~ ( hBOOL(hAPP(V_A_2,V_x_2)) % 158.64/158.63 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf1I,axiom, % 158.64/158.63 ! [T_a,V_B_2,V_x_2,V_A_2] : % 158.64/158.63 ( hBOOL(hAPP(V_A_2,V_x_2)) % 158.64/158.63 => ( hBOOL(hAPP(V_B_2,V_x_2)) % 158.64/158.63 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_IntE,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.63 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.63 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_IntI,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_finite__Int,axiom, % 158.64/158.63 ! [V_Ga_2,V_F_2,T_a] : % 158.64/158.63 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 158.64/158.63 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Ga_2)) ) % 158.64/158.63 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_ComplI,axiom, % 158.64/158.63 ! [V_A_2,V_ca_2,T_a] : % 158.64/158.63 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_neg__less__iff__less,axiom, % 158.64/158.63 ! [V_a_2,V_b_2,T_a] : % 158.64/158.63 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) % 158.64/158.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_neg__equal__iff__equal,axiom, % 158.64/158.63 ! [V_b_2,V_a_2,T_a] : % 158.64/158.63 ( class_Groups_Ogroup__add(T_a) % 158.64/158.63 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) % 158.64/158.63 <=> V_a_2 = V_b_2 ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_minus__less__iff,axiom, % 158.64/158.63 ! [V_b_2,V_a_2,T_a] : % 158.64/158.63 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2)) % 158.64/158.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),V_a_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_minus__equation__iff,axiom, % 158.64/158.63 ! [V_b_2,V_a_2,T_a] : % 158.64/158.63 ( class_Groups_Ogroup__add(T_a) % 158.64/158.63 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = V_b_2 % 158.64/158.63 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) = V_a_2 ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_less__minus__iff,axiom, % 158.64/158.63 ! [V_b_2,V_a_2,T_a] : % 158.64/158.63 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2))) % 158.64/158.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_equation__minus__iff,axiom, % 158.64/158.63 ! [V_b_2,V_a_2,T_a] : % 158.64/158.63 ( class_Groups_Ogroup__add(T_a) % 158.64/158.63 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) % 158.64/158.63 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_minus__minus,axiom, % 158.64/158.63 ! [V_a,T_a] : % 158.64/158.63 ( class_Groups_Ogroup__add(T_a) % 158.64/158.63 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Compl__Int,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Compl__Un,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Diff__eq,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Diff__Compl,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fun__left__comm__idem__inf,axiom, % 158.64/158.63 ! [T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_linorder__cases,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Orderings_Olinorder(T_a) % 158.64/158.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 158.64/158.63 => ( V_x != V_y % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_order__less__asym,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Orderings_Opreorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 158.64/158.63 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_xt1_I10_J,axiom, % 158.64/158.63 ! [V_z,V_x,V_y,T_a] : % 158.64/158.63 ( class_Orderings_Oorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_order__less__trans,axiom, % 158.64/158.63 ! [V_z,V_y,V_x,T_a] : % 158.64/158.63 ( class_Orderings_Opreorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_xt1_I2_J,axiom, % 158.64/158.63 ! [V_c,V_a,V_b,T_a] : % 158.64/158.63 ( class_Orderings_Oorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 158.64/158.63 => ( V_b = V_c % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_ord__less__eq__trans,axiom, % 158.64/158.63 ! [V_c,V_b,V_a,T_a] : % 158.64/158.63 ( class_Orderings_Oord(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.64/158.63 => ( V_b = V_c % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_psubset__trans,axiom, % 158.64/158.63 ! [V_C_2,V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_xt1_I1_J,axiom, % 158.64/158.63 ! [V_c,V_b,V_a,T_a] : % 158.64/158.63 ( class_Orderings_Oorder(T_a) % 158.64/158.63 => ( V_a = V_b % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_ord__eq__less__trans,axiom, % 158.64/158.63 ! [V_c,V_b,V_a,T_a] : % 158.64/158.63 ( class_Orderings_Oord(T_a) % 158.64/158.63 => ( V_a = V_b % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_xt1_I9_J,axiom, % 158.64/158.63 ! [V_a,V_b,T_a] : % 158.64/158.63 ( class_Orderings_Oorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 158.64/158.63 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_order__less__asym_H,axiom, % 158.64/158.63 ! [V_b,V_a,T_a] : % 158.64/158.63 ( class_Orderings_Opreorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.64/158.63 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_order__less__imp__not__eq2,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Orderings_Oorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 158.64/158.63 => V_y != V_x ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_order__less__imp__not__eq,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Orderings_Oorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 158.64/158.63 => V_x != V_y ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_order__less__imp__not__less,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Orderings_Opreorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 158.64/158.63 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_order__less__not__sym,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Orderings_Opreorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 158.64/158.63 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_less__imp__neq,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Orderings_Oorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 158.64/158.63 => V_x != V_y ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_linorder__neqE,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Orderings_Olinorder(T_a) % 158.64/158.63 => ( V_x != V_y % 158.64/158.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_linorder__antisym__conv3,axiom, % 158.64/158.63 ! [V_x_2,V_y_2,T_a] : % 158.64/158.63 ( class_Orderings_Olinorder(T_a) % 158.64/158.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)) % 158.64/158.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 158.64/158.63 <=> V_x_2 = V_y_2 ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__assoc,axiom, % 158.64/158.63 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Compl__eq__Compl__iff,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2) % 158.64/158.63 <=> V_A_2 = V_B_2 ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_map__add__assoc,axiom, % 158.64/158.63 ! [V_m3_2,V_m2_2,V_m1_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m1_2,c_Map_Omap__add(T_a,T_b,V_m2_2,V_m3_2)) = c_Map_Omap__add(T_a,T_b,c_Map_Omap__add(T_a,T_b,V_m1_2,V_m2_2),V_m3_2) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__left__commute,axiom, % 158.64/158.63 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__left__absorb,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ). % 158.64/158.63 % 158.64/158.63 fof(fact_linorder__less__linear,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Orderings_Olinorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 158.64/158.63 | V_x = V_y % 158.64/158.63 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__commute,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__absorb,axiom, % 158.64/158.63 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ). % 158.64/158.63 % 158.64/158.63 fof(fact_not__less__iff__gr__or__eq,axiom, % 158.64/158.63 ! [V_y_2,V_x_2,T_a] : % 158.64/158.63 ( class_Orderings_Olinorder(T_a) % 158.64/158.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 158.64/158.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)) % 158.64/158.63 | V_x_2 = V_y_2 ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_linorder__neq__iff,axiom, % 158.64/158.63 ! [V_y_2,V_x_2,T_a] : % 158.64/158.63 ( class_Orderings_Olinorder(T_a) % 158.64/158.63 => ( V_x_2 != V_y_2 % 158.64/158.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 158.64/158.63 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_double__complement,axiom, % 158.64/158.63 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = V_A_2 ). % 158.64/158.63 % 158.64/158.63 fof(fact_order__less__irrefl,axiom, % 158.64/158.63 ! [V_x,T_a] : % 158.64/158.63 ( class_Orderings_Opreorder(T_a) % 158.64/158.63 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Compl__disjoint2,axiom, % 158.64/158.63 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Compl__disjoint,axiom, % 158.64/158.63 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom, % 158.64/158.63 ! [V_z_2,V_x_2,V_f_2,T_b,T_a] : % 158.64/158.63 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2) % 158.64/158.63 => 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) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__compl__bot,axiom, % 158.64/158.63 ! [V_x,T_a] : % 158.64/158.63 ( class_Lattices_Oboolean__algebra(T_a) % 158.64/158.63 => 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) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_compl__inf__bot,axiom, % 158.64/158.63 ! [V_x,T_a] : % 158.64/158.63 ( class_Lattices_Oboolean__algebra(T_a) % 158.64/158.63 => 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) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf1D2,axiom, % 158.64/158.63 ! [V_x_2,V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 158.64/158.63 => hBOOL(hAPP(V_B_2,V_x_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf1D1,axiom, % 158.64/158.63 ! [V_x_2,V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 158.64/158.63 => hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_less__infI2,axiom, % 158.64/158.63 ! [V_a,V_x,V_b,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 158.64/158.63 => 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)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_less__infI1,axiom, % 158.64/158.63 ! [V_b,V_x,V_a,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 158.64/158.63 => 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)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__apply,axiom, % 158.64/158.63 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] : % 158.64/158.63 ( class_Lattices_Olattice(T_a) % 158.64/158.63 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__assoc,axiom, % 158.64/158.63 ! [V_z,V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__sup__aci_I2_J,axiom, % 158.64/158.63 ! [V_z,V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Olattice(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf_Oassoc,axiom, % 158.64/158.63 ! [V_c,V_b,V_a,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_compl__eq__compl__iff,axiom, % 158.64/158.63 ! [V_y_2,V_x_2,T_a] : % 158.64/158.63 ( class_Lattices_Oboolean__algebra(T_a) % 158.64/158.63 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2) % 158.64/158.63 <=> V_x_2 = V_y_2 ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__left__commute,axiom, % 158.64/158.63 ! [V_z,V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__sup__aci_I3_J,axiom, % 158.64/158.63 ! [V_z,V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Olattice(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf_Oleft__commute,axiom, % 158.64/158.63 ! [V_c,V_a,V_b,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__left__idem,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => 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) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__sup__aci_I4_J,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Olattice(T_a) % 158.64/158.63 => 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) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf_Oleft__idem,axiom, % 158.64/158.63 ! [V_b,V_a,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => 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) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__commute,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => 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) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__sup__aci_I1_J,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Olattice(T_a) % 158.64/158.63 => 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) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf_Ocommute,axiom, % 158.64/158.63 ! [V_b,V_a,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => 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) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_uminus__apply,axiom, % 158.64/158.63 ! [V_x_2,V_A_2,T_b,T_a] : % 158.64/158.63 ( class_Groups_Ouminus(T_a) % 158.64/158.63 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(V_A_2,V_x_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__idem,axiom, % 158.64/158.63 ! [V_x,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf_Oidem,axiom, % 158.64/158.63 ! [V_a,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_double__compl,axiom, % 158.64/158.63 ! [V_x,T_a] : % 158.64/158.63 ( class_Lattices_Oboolean__algebra(T_a) % 158.64/158.63 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fun__Compl__def,axiom, % 158.64/158.63 ! [V_x_2,V_A_2,T_b,T_a] : % 158.64/158.63 ( class_Groups_Ouminus(T_a) % 158.64/158.63 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(V_A_2,V_x_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_compl__inf,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Oboolean__algebra(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_compl__sup,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Oboolean__algebra(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__fun__def,axiom, % 158.64/158.63 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] : % 158.64/158.63 ( class_Lattices_Olattice(T_a) % 158.64/158.63 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_diff__eq,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Oboolean__algebra(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_disjoint__eq__subset__Compl,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2))) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom, % 158.64/158.63 ! [V_g_2,T_c,V_f_2,T_b,T_a] : % 158.64/158.63 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2) % 158.64/158.63 => c_Finite__Set_Ofun__left__comm__idem(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__sup__ord_I1_J,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Olattice(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__le1,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__sup__ord_I2_J,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Olattice(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__le2,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_le__iff__inf,axiom, % 158.64/158.63 ! [V_y_2,V_x_2,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 158.64/158.63 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2) = V_x_2 ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_le__inf__iff,axiom, % 158.64/158.63 ! [V_z_2,V_y_2,V_x_2,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y_2),V_z_2))) % 158.64/158.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 158.64/158.63 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_le__infI1,axiom, % 158.64/158.63 ! [V_b,V_x,V_a,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 158.64/158.63 => 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)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_le__infI2,axiom, % 158.64/158.63 ! [V_a,V_x,V_b,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 158.64/158.63 => 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)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__absorb1,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.64/158.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__absorb2,axiom, % 158.64/158.63 ! [V_x,V_y,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 158.64/158.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_le__infI,axiom, % 158.64/158.63 ! [V_b,V_a,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 158.64/158.63 => 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))) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__greatest,axiom, % 158.64/158.63 ! [V_z,V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 158.64/158.63 => 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))) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__mono,axiom, % 158.64/158.63 ! [V_d,V_b,V_c,V_a,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 158.64/158.63 => 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))) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_le__infE,axiom, % 158.64/158.63 ! [V_b,V_a,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.63 => ( 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))) % 158.64/158.63 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 158.64/158.63 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_compl__le__compl__iff,axiom, % 158.64/158.63 ! [V_y_2,V_x_2,T_a] : % 158.64/158.63 ( class_Lattices_Oboolean__algebra(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2))) % 158.64/158.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_compl__mono,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Oboolean__algebra(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.64/158.63 => 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))) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_le__minus__iff,axiom, % 158.64/158.63 ! [V_b_2,V_a_2,T_a] : % 158.64/158.63 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2))) % 158.64/158.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_minus__le__iff,axiom, % 158.64/158.63 ! [V_b_2,V_a_2,T_a] : % 158.64/158.63 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2)) % 158.64/158.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),V_a_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_neg__le__iff__le,axiom, % 158.64/158.63 ! [V_a_2,V_b_2,T_a] : % 158.64/158.63 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) % 158.64/158.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_le__imp__neg__le,axiom, % 158.64/158.63 ! [V_b,V_a,T_a] : % 158.64/158.63 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.64/158.63 => 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))) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__bot__right,axiom, % 158.64/158.63 ! [V_x,T_a] : % 158.64/158.63 ( class_Lattices_Obounded__lattice__bot(T_a) % 158.64/158.63 => 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) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__bot__left,axiom, % 158.64/158.63 ! [V_x,T_a] : % 158.64/158.63 ( class_Lattices_Obounded__lattice__bot(T_a) % 158.64/158.63 => 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) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_ComplE,axiom, % 158.64/158.63 ! [V_A_2,V_ca_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) % 158.64/158.63 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_ComplD,axiom, % 158.64/158.63 ! [V_A_2,V_ca_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) % 158.64/158.63 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Compl__iff,axiom, % 158.64/158.63 ! [V_A_2,V_ca_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) % 158.64/158.63 <=> ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__sup__absorb,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Olattice(T_a) % 158.64/158.63 => 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 ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_sup__inf__absorb,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Olattice(T_a) % 158.64/158.63 => 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 ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__sup__distrib1,axiom, % 158.64/158.63 ! [V_z,V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Odistrib__lattice(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_sup__inf__distrib1,axiom, % 158.64/158.63 ! [V_z,V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Odistrib__lattice(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__sup__distrib2,axiom, % 158.64/158.63 ! [V_x,V_z,V_y,T_a] : % 158.64/158.63 ( class_Lattices_Odistrib__lattice(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_sup__inf__distrib2,axiom, % 158.64/158.63 ! [V_x,V_z,V_y,T_a] : % 158.64/158.63 ( class_Lattices_Odistrib__lattice(T_a) % 158.64/158.63 => 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)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_minus__diff__eq,axiom, % 158.64/158.63 ! [V_b,V_a,T_a] : % 158.64/158.63 ( class_Groups_Oab__group__add(T_a) % 158.64/158.63 => 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) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fold__graph_H_Ointros_I1_J,axiom, % 158.64/158.63 ! [V_z_2,V_f_2,T_b,T_a] : c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_z_2) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fold__graph_H_Oequations_I1_J,axiom, % 158.64/158.63 ! [V_a2_2,V_a1_2,T_b,T_a] : c_Nitpick_Ofold__graph_H(T_a,T_b,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_a2_2) ). % 158.64/158.63 % 158.64/158.63 fof(fact_map__add__comm,axiom, % 158.64/158.63 ! [V_m2_2,V_m1_2,T_b,T_a] : % 158.64/158.63 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_m1_2)),c_Map_Odom(T_a,T_b,V_m2_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.63 => c_Map_Omap__add(T_a,T_b,V_m1_2,V_m2_2) = c_Map_Omap__add(T_a,T_b,V_m2_2,V_m1_2) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_IntD2,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_IntD1,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__iff,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_ca_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.63 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.63 & hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_less__fun__def,axiom, % 158.64/158.63 ! [V_g_2,V_f_2,T_a,T_b] : % 158.64/158.63 ( class_Orderings_Oord(T_b) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 158.64/158.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 158.64/158.63 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_g_2),V_f_2)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Compl__anti__mono,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Compl__subset__Compl__iff,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2))) % 158.64/158.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_xt1_I8_J,axiom, % 158.64/158.63 ! [V_z,V_x,V_y,T_a] : % 158.64/158.63 ( class_Orderings_Oorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_order__le__less__trans,axiom, % 158.64/158.63 ! [V_z,V_y,V_x,T_a] : % 158.64/158.63 ( class_Orderings_Opreorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_xt1_I7_J,axiom, % 158.64/158.63 ! [V_z,V_x,V_y,T_a] : % 158.64/158.63 ( class_Orderings_Oorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_order__less__le__trans,axiom, % 158.64/158.63 ! [V_z,V_y,V_x,T_a] : % 158.64/158.63 ( class_Orderings_Opreorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_xt1_I11_J,axiom, % 158.64/158.63 ! [V_a,V_b,T_a] : % 158.64/158.63 ( class_Orderings_Oorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 158.64/158.63 => ( V_a != V_b % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_order__le__neq__trans,axiom, % 158.64/158.63 ! [V_b,V_a,T_a] : % 158.64/158.63 ( class_Orderings_Oorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.64/158.63 => ( V_a != V_b % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_order__le__imp__less__or__eq,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Orderings_Oorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 158.64/158.63 | V_x = V_y ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_linorder__antisym__conv2,axiom, % 158.64/158.63 ! [V_y_2,V_x_2,T_a] : % 158.64/158.63 ( class_Orderings_Olinorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 158.64/158.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 158.64/158.63 <=> V_x_2 = V_y_2 ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_order__less__imp__le,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Orderings_Opreorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_leD,axiom, % 158.64/158.63 ! [V_x,V_y,T_a] : % 158.64/158.63 ( class_Orderings_Olinorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 158.64/158.63 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_xt1_I12_J,axiom, % 158.64/158.63 ! [V_b,V_a,T_a] : % 158.64/158.63 ( class_Orderings_Oorder(T_a) % 158.64/158.63 => ( V_a != V_b % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_order__neq__le__trans,axiom, % 158.64/158.63 ! [V_b,V_a,T_a] : % 158.64/158.63 ( class_Orderings_Oorder(T_a) % 158.64/158.63 => ( V_a != V_b % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_linorder__antisym__conv1,axiom, % 158.64/158.63 ! [V_y_2,V_x_2,T_a] : % 158.64/158.63 ( class_Orderings_Olinorder(T_a) % 158.64/158.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 158.64/158.63 <=> V_x_2 = V_y_2 ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_not__leE,axiom, % 158.64/158.63 ! [V_x,V_y,T_a] : % 158.64/158.63 ( class_Orderings_Olinorder(T_a) % 158.64/158.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_leI,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Orderings_Olinorder(T_a) % 158.64/158.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_order__le__less,axiom, % 158.64/158.63 ! [V_y_2,V_x_2,T_a] : % 158.64/158.63 ( class_Orderings_Oorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 158.64/158.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 158.64/158.63 | V_x_2 = V_y_2 ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_less__le__not__le,axiom, % 158.64/158.63 ! [V_y_2,V_x_2,T_a] : % 158.64/158.63 ( class_Orderings_Opreorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 158.64/158.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 158.64/158.63 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_order__less__le,axiom, % 158.64/158.63 ! [V_y_2,V_x_2,T_a] : % 158.64/158.63 ( class_Orderings_Oorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 158.64/158.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 158.64/158.63 & V_x_2 != V_y_2 ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_linorder__le__less__linear,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Orderings_Olinorder(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.64/158.63 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_linorder__not__le,axiom, % 158.64/158.63 ! [V_y_2,V_x_2,T_a] : % 158.64/158.63 ( class_Orderings_Olinorder(T_a) % 158.64/158.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 158.64/158.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_linorder__not__less,axiom, % 158.64/158.63 ! [V_y_2,V_x_2,T_a] : % 158.64/158.63 ( class_Orderings_Olinorder(T_a) % 158.64/158.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)) % 158.64/158.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_psubsetD,axiom, % 158.64/158.63 ! [V_ca_2,V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_disjoint__iff__not__equal,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.63 <=> ! [B_x] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.64/158.63 => ! [B_xa] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_B_2)) % 158.64/158.63 => B_x != B_xa ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__empty__right,axiom, % 158.64/158.63 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__empty__left,axiom, % 158.64/158.63 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_insert__inter__insert,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__mono,axiom, % 158.64/158.63 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__greatest,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_C_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__absorb1,axiom, % 158.64/158.63 ! [V_A_2,V_B_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 158.64/158.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__absorb2,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__lower2,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__lower1,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_not__psubset__empty,axiom, % 158.64/158.63 ! [V_A_2,T_a] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ). % 158.64/158.63 % 158.64/158.63 fof(fact_diff__eq__diff__less,axiom, % 158.64/158.63 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 158.64/158.63 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.63 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_ca_2),V_d_2) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) % 158.64/158.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Un__Int__crazy,axiom, % 158.64/158.63 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Un__Int__distrib2,axiom, % 158.64/158.63 ! [V_A_2,V_C_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__Un__distrib2,axiom, % 158.64/158.63 ! [V_A_2,V_C_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Un__Int__distrib,axiom, % 158.64/158.63 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__Un__distrib,axiom, % 158.64/158.63 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_less__supI1,axiom, % 158.64/158.63 ! [V_b,V_a,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 158.64/158.63 => 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))) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_less__supI2,axiom, % 158.64/158.63 ! [V_a,V_b,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 158.64/158.63 => 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))) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_subset__psubset__trans,axiom, % 158.64/158.63 ! [V_C_2,V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_psubset__subset__trans,axiom, % 158.64/158.63 ! [V_C_2,V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_psubset__imp__subset,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_subset__iff__psubset__eq,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.63 | V_A_2 = V_B_2 ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_psubset__eq,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.63 & V_A_2 != V_B_2 ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Diff__Int2,axiom, % 158.64/158.63 ! [V_B_2,V_C_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Diff__Int__distrib2,axiom, % 158.64/158.63 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__Diff,axiom, % 158.64/158.63 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Diff__Int__distrib,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_C_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_restrict__restrict,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_m_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_B_2) = c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_empty__fold__graphE,axiom, % 158.64/158.63 ! [V_x_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.63 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_x_2)) % 158.64/158.63 => V_x_2 = V_z_2 ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fold__graph_OemptyI,axiom, % 158.64/158.63 ! [V_z_2,V_f_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_z_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fold__graph_Oequations_I1_J,axiom, % 158.64/158.63 ! [V_z_2,V_f_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_z_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fold__graph__imp__finite,axiom, % 158.64/158.63 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.63 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_x_2)) % 158.64/158.63 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_map__add__None,axiom, % 158.64/158.63 ! [V_k_2,V_n_2,V_m_2,T_a,T_b] : % 158.64/158.63 ( hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = c_Option_Ooption_ONone(T_a) % 158.64/158.63 <=> ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_a) % 158.64/158.63 & hAPP(V_m_2,V_k_2) = c_Option_Ooption_ONone(T_a) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_map__add__find__right,axiom, % 158.64/158.63 ! [V_m_2,T_b,V_xx_2,T_a,V_k_2,V_n_2] : % 158.64/158.63 ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_xx_2) % 158.64/158.63 => hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_xx_2) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inf__Int__eq,axiom, % 158.64/158.63 ! [V_x_2,V_S_2,V_R_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)),V_x_2)) % 158.64/158.63 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_empty__map__add,axiom, % 158.64/158.63 ! [V_m_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b)),V_m_2) = V_m_2 ). % 158.64/158.63 % 158.64/158.63 fof(fact_map__add__empty,axiom, % 158.64/158.63 ! [V_m_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m_2,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b))) = V_m_2 ). % 158.64/158.63 % 158.64/158.63 fof(fact_fun__left__comm__idem__insert,axiom, % 158.64/158.63 ! [T_a] : c_Finite__Set_Ofun__left__comm__idem(T_a,tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_distrib__sup__le,axiom, % 158.64/158.63 ! [V_z,V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Olattice(T_a) % 158.64/158.63 => 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)))) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_distrib__inf__le,axiom, % 158.64/158.63 ! [V_z,V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Olattice(T_a) % 158.64/158.63 => 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)))) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fun__left__comm__idem__sup,axiom, % 158.64/158.63 ! [T_a] : % 158.64/158.63 ( class_Lattices_Osemilattice__sup(T_a) % 158.64/158.63 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_subset__Compl__self__eq,axiom, % 158.64/158.63 ! [V_A_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) % 158.64/158.63 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom, % 158.64/158.63 ! [V_x_2,V_f_2,T_b,T_a] : % 158.64/158.63 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2) % 158.64/158.63 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__insert__right,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_a_2,T_a] : % 158.64/158.63 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 158.64/158.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__insert__left,axiom, % 158.64/158.63 ! [V_B_2,V_C_2,V_a_2,T_a] : % 158.64/158.63 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2)) % 158.64/158.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ) % 158.64/158.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2)) % 158.64/158.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__insert__right__if0,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_a_2,T_a] : % 158.64/158.63 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__insert__left__if0,axiom, % 158.64/158.63 ! [V_B_2,V_C_2,V_a_2,T_a] : % 158.64/158.63 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2)) % 158.64/158.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__insert__right__if1,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_a_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Int__insert__left__if1,axiom, % 158.64/158.63 ! [V_B_2,V_C_2,V_a_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2)) % 158.64/158.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Compl__Diff__eq,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2) ). % 158.64/158.63 % 158.64/158.63 fof(fact_image__Int__subset,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,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_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)))) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Diff__disjoint,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Diff__triv,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.63 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Un__Int__assoc__eq,axiom, % 158.64/158.63 ! [V_C_2,V_B_2,V_A_2,T_a] : % 158.64/158.63 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 158.64/158.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Un__Diff__Int,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ). % 158.64/158.63 % 158.64/158.63 fof(fact_Diff__Un,axiom, % 158.64/158.63 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Diff__Int,axiom, % 158.64/158.63 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_dom__restrict,axiom, % 158.64/158.63 ! [V_A_2,V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_m_2)),V_A_2) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fold__graph_OinsertI,axiom, % 158.64/158.63 ! [V_y_2,V_z_2,V_f_2,T_b,V_A_2,V_x_2,T_a] : % 158.64/158.63 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2)) % 158.64/158.63 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_map__add__dom__app__simps_I2_J,axiom, % 158.64/158.63 ! [V_l2_2,V_l1_2,T_b,V_m_2,T_a] : % 158.64/158.63 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_l1_2))) % 158.64/158.63 => hAPP(c_Map_Omap__add(T_a,T_b,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l2_2,V_m_2) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_map__add__dom__app__simps_I3_J,axiom, % 158.64/158.63 ! [V_l1_2,V_l2_2,T_b,V_m_2,T_a] : % 158.64/158.63 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_l2_2))) % 158.64/158.63 => hAPP(c_Map_Omap__add(T_a,T_b,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l1_2,V_m_2) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_map__add__dom__app__simps_I1_J,axiom, % 158.64/158.63 ! [V_l1_2,V_l2_2,T_b,V_m_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_l2_2))) % 158.64/158.63 => hAPP(c_Map_Omap__add(T_a,T_b,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l2_2,V_m_2) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_map__add__Some__iff,axiom, % 158.64/158.63 ! [V_x_2,V_k_2,V_n_2,V_m_2,T_a,T_b] : % 158.64/158.63 ( hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) % 158.64/158.63 <=> ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) % 158.64/158.63 | ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_a) % 158.64/158.63 & hAPP(V_m_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_map__add__SomeD,axiom, % 158.64/158.63 ! [V_x_2,V_k_2,V_n_2,V_m_2,T_a,T_b] : % 158.64/158.63 ( hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) % 158.64/158.63 => ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) % 158.64/158.63 | ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_a) % 158.64/158.63 & hAPP(V_m_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_dom__map__add,axiom, % 158.64/158.63 ! [V_n_2,V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Map_Omap__add(T_a,T_b,V_m_2,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_n_2)),c_Map_Odom(T_a,T_b,V_m_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_map__add__upd,axiom, % 158.64/158.63 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_f_2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_g_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__add(T_a,T_b,V_f_2,V_g_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_folding__image__simple_Ounion__inter,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.63 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 158.64/158.63 => 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)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_map__add__def,axiom, % 158.64/158.63 ! [V_x_2,V_m2_2,V_m1_2,T_a,T_b] : hAPP(c_Map_Omap__add(T_b,T_a,V_m1_2,V_m2_2),V_x_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_a),T_a,hAPP(V_m1_2,V_x_2),c_Option_Ooption_OSome(T_a)),hAPP(V_m2_2,V_x_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_folding_Ounion__inter,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 158.64/158.63 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.63 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_folding__image__simple_Ounion__disjoint,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.63 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 158.64/158.63 => ( 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)) % 158.64/158.63 => 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)) ) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_folding__one_Ounion__disjoint,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] : % 158.64/158.63 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.63 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.63 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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)) ) ) ) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_folding__one_Ounion__inter,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] : % 158.64/158.63 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.63 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.63 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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)) ) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Diff1__fold__graph,axiom, % 158.64/158.63 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.63 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_y_2)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.63 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fold__graph_H_Oequations_I2_J,axiom, % 158.64/158.63 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a] : % 158.64/158.63 ( c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)) % 158.64/158.63 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.63 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 ) % 158.64/158.63 | ? [B_x,B_y] : % 158.64/158.63 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y) % 158.64/158.63 & hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a2_2)) % 158.64/158.63 & c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),B_y) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_compl__unique,axiom, % 158.64/158.63 ! [V_y,V_x,T_a] : % 158.64/158.63 ( class_Lattices_Oboolean__algebra(T_a) % 158.64/158.63 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a) % 158.64/158.63 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a) % 158.64/158.63 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fold1Set_Oequations,axiom, % 158.64/158.63 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),V_a2_2)),V_a3_2)) % 158.64/158.63 <=> ? [B_a,B_A] : % 158.64/158.63 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_A) % 158.64/158.63 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,B_a,B_A),V_a3_2)) % 158.64/158.63 & ~ hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_insert__fold1SetE,axiom, % 158.64/158.63 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_a] : % 158.64/158.63 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_X_2)),V_x_2)) % 158.64/158.63 => ~ ! [B_a,B_A] : % 158.64/158.63 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_A) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,B_a,B_A),V_x_2)) % 158.64/158.63 => hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A)) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.63 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 158.64/158.63 => ( ! [B_x] : % 158.64/158.63 ( 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))) % 158.64/158.63 => hAPP(V_g_2,B_x) = V_z_2 ) % 158.64/158.63 => 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)) ) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_fold__graph__permute__diff,axiom, % 158.64/158.63 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_a] : % 158.64/158.63 ( class_Groups_Oab__semigroup__mult(T_a) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_b_2,V_A_2),V_x_2)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.63 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2)) % 158.64/158.63 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Inf__fin_Oremove,axiom, % 158.64/158.63 ! [V_x_2,V_A_2,T_a] : % 158.64/158.63 ( class_Lattices_Olattice(T_a) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.63 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.63 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = V_x_2 ) % 158.64/158.63 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.63 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_Sup__fin_Oremove,axiom, % 158.64/158.63 ! [V_x_2,V_A_2,T_a] : % 158.64/158.63 ( class_Lattices_Olattice(T_a) % 158.64/158.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.63 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.63 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.63 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = V_x_2 ) % 158.64/158.63 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.63 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_option__map__o__sum__case,axiom, % 158.64/158.63 ! [V_h_2,V_g_2,V_f_2,T_b,T_a,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_d),tc_Option_Ooption(T_c),tc_sum(T_a,T_b),hAPP(c_Option_Omap(T_d,T_c),V_f_2)),c_Sum__Type_Osum_Osum__case(T_a,tc_Option_Ooption(T_d),T_b,V_g_2,V_h_2)) = c_Sum__Type_Osum_Osum__case(T_a,tc_Option_Ooption(T_c),T_b,hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_d),tc_Option_Ooption(T_c),T_a,hAPP(c_Option_Omap(T_d,T_c),V_f_2)),V_g_2),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_d),tc_Option_Ooption(T_c),T_b,hAPP(c_Option_Omap(T_d,T_c),V_f_2)),V_h_2)) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inj__on__Un,axiom, % 158.64/158.63 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.63 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.63 <=> ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.63 & c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2) % 158.64/158.63 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 158.64/158.63 % 158.64/158.63 fof(fact_UNIV__I,axiom, % 158.64/158.63 ! [V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ). % 158.64/158.63 % 158.64/158.63 fof(fact_inj__on__empty,axiom, % 158.64/158.64 ! [V_f_2,T_b,T_a] : c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__uminus,axiom, % 158.64/158.64 ! [V_A_2,T_a] : % 158.64/158.64 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.64 => c_Fun_Oinj__on(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a),V_A_2) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__image__eq__iff,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.64 => ( hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2) % 158.64/158.64 <=> V_A_2 = V_B_2 ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_times_Oidem,axiom, % 158.64/158.64 ! [V_a,T_a] : % 158.64/158.64 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 158.64/158.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_mult__idem,axiom, % 158.64/158.64 ! [V_x,T_a] : % 158.64/158.64 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 158.64/158.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_mult__left__idem,axiom, % 158.64/158.64 ! [V_b,V_a,T_a] : % 158.64/158.64 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__comp,axiom, % 158.64/158.64 ! [V_g_2,T_c,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.64 => ( c_Fun_Oinj__on(T_c,T_a,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 158.64/158.64 => c_Fun_Oinj__on(T_c,T_b,hAPP(c_Fun_Ocomp(T_a,T_b,T_c,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__id2,axiom, % 158.64/158.64 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,T_a,c_COMBI(T_a),V_A_2) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__def,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.64 <=> ! [B_x] : % 158.64/158.64 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.64/158.64 => ! [B_xa] : % 158.64/158.64 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2)) % 158.64/158.64 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa) % 158.64/158.64 => B_x = B_xa ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__eq,axiom, % 158.64/158.64 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.64 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 158.64/158.64 <=> V_x_2 = V_y_2 ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_injD,axiom, % 158.64/158.64 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.64 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 158.64/158.64 => V_x_2 = V_y_2 ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_top__apply,axiom, % 158.64/158.64 ! [V_x_2,T_b,T_a] : % 158.64/158.64 ( class_Orderings_Otop(T_a) % 158.64/158.64 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Otop__class_Otop(T_a) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__fun,axiom, % 158.64/158.64 ! [T_c,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.64 => c_Fun_Oinj__on(T_a,tc_fun(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_b),T_a),c_COMBK(T_b,T_c)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__Prod__UNIV,axiom, % 158.64/158.64 ! [T_b,T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 158.64/158.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__Plus__UNIV__iff,axiom, % 158.64/158.64 ! [T_b,T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool)))) % 158.64/158.64 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) % 158.64/158.64 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__option__UNIV,axiom, % 158.64/158.64 ! [T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool)))) % 158.64/158.64 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__fun__UNIVD2,axiom, % 158.64/158.64 ! [T_b,T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool)))) % 158.64/158.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 158.64/158.64 ! [V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Oab__semigroup__mult(T_a) % 158.64/158.64 => 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)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__image__mem__iff,axiom, % 158.64/158.64 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) % 158.64/158.64 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_range__ex1__eq,axiom, % 158.64/158.64 ! [V_b_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))) % 158.64/158.64 <=> ? [B_x] : % 158.64/158.64 ( V_b_2 = hAPP(V_f_2,B_x) % 158.64/158.64 & ! [B_y] : % 158.64/158.64 ( V_b_2 = hAPP(V_f_2,B_y) % 158.64/158.64 => B_y = B_x ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__UNIV__surj__inj,axiom, % 158.64/158.64 ! [V_f_2,T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) % 158.64/158.64 => ( hAPP(c_Set_Oimage(T_a,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => c_Fun_Oinj__on(T_a,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__UNIV__inj__surj,axiom, % 158.64/158.64 ! [V_f_2,T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) % 158.64/158.64 => ( c_Fun_Oinj__on(T_a,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.64 => hAPP(c_Set_Oimage(T_a,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__image__subset__iff,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2))) % 158.64/158.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_image__Int,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.64 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_image__set__diff,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.64 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__contraD,axiom, % 158.64/158.64 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.64 => ( V_x_2 != V_y_2 % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) % 158.64/158.64 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__iff,axiom, % 158.64/158.64 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) % 158.64/158.64 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 158.64/158.64 <=> V_x_2 = V_y_2 ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__onD,axiom, % 158.64/158.64 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.64 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) % 158.64/158.64 => V_x_2 = V_y_2 ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_subset__inj__on,axiom, % 158.64/158.64 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.64 => c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__Int,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.64 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2) % 158.64/158.64 => c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__imageI2,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,V_f_H_2,T_c,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_H_2),V_f_2),V_A_2) % 158.64/158.64 => c_Fun_Oinj__on(T_a,T_c,V_f_2,V_A_2) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__diff,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.64 => c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__Some,axiom, % 158.64/158.64 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,tc_Option_Ooption(T_a),c_Option_Ooption_OSome(T_a),V_A_2) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__singleton,axiom, % 158.64/158.64 ! [T_a] : c_Fun_Oinj__on(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ). % 158.64/158.64 % 158.64/158.64 fof(fact_iso__tuple__UNIV__I,axiom, % 158.64/158.64 ! [V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ). % 158.64/158.64 % 158.64/158.64 fof(fact_UNIV__not__empty,axiom, % 158.64/158.64 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__UNIV,axiom, % 158.64/158.64 ! [T_a] : % 158.64/158.64 ( class_Finite__Set_Ofinite(T_a) % 158.64/158.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_subset__UNIV,axiom, % 158.64/158.64 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Un__UNIV__left,axiom, % 158.64/158.64 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Un__UNIV__right,axiom, % 158.64/158.64 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Int__UNIV__left,axiom, % 158.64/158.64 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = V_B_2 ). % 158.64/158.64 % 158.64/158.64 fof(fact_Int__UNIV__right,axiom, % 158.64/158.64 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ). % 158.64/158.64 % 158.64/158.64 fof(fact_Inf__le__Sup,axiom, % 158.64/158.64 ! [V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2))) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__image__Compl__subset,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fun__left__comm__idem,axiom, % 158.64/158.64 ! [T_a] : % 158.64/158.64 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 158.64/158.64 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Inf__fin_Osingleton,axiom, % 158.64/158.64 ! [V_x_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Sup__fin_Osingleton,axiom, % 158.64/158.64 ! [V_x_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_range__composition,axiom, % 158.64/158.64 ! [V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(hAPP(c_COMBB(T_c,T_a,T_b),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_c,T_a,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 158.64/158.64 % 158.64/158.64 fof(fact_top__greatest,axiom, % 158.64/158.64 ! [V_x,T_a] : % 158.64/158.64 ( class_Orderings_Otop(T_a) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_sup__top__right,axiom, % 158.64/158.64 ! [V_x,T_a] : % 158.64/158.64 ( class_Lattices_Obounded__lattice__top(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_sup__top__left,axiom, % 158.64/158.64 ! [V_x,T_a] : % 158.64/158.64 ( class_Lattices_Obounded__lattice__top(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inf__top__left,axiom, % 158.64/158.64 ! [V_x,T_a] : % 158.64/158.64 ( class_Lattices_Obounded__lattice__top(T_a) % 158.64/158.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inf__top__right,axiom, % 158.64/158.64 ! [V_x,T_a] : % 158.64/158.64 ( class_Lattices_Obounded__lattice__top(T_a) % 158.64/158.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inf__eq__top__iff,axiom, % 158.64/158.64 ! [V_y_2,V_x_2,T_a] : % 158.64/158.64 ( class_Lattices_Obounded__lattice__top(T_a) % 158.64/158.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_a) % 158.64/158.64 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_a) % 158.64/158.64 & V_y_2 = c_Orderings_Otop__class_Otop(T_a) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_UNIV__option__conv,axiom, % 158.64/158.64 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)),hAPP(c_Set_Oimage(T_a,tc_Option_Ooption(T_a),c_Option_Ooption_OSome(T_a)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__imageD,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) % 158.64/158.64 => ( c_Fun_Oinj__on(T_b,T_a,V_f_2,V_A_2) % 158.64/158.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__Un__image__eq__iff,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.64 => ( hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2) % 158.64/158.64 <=> V_A_2 = V_B_2 ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comp__inj__on__iff,axiom, % 158.64/158.64 ! [V_f_H_2,T_c,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.64 => ( c_Fun_Oinj__on(T_b,T_c,V_f_H_2,hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) % 158.64/158.64 <=> c_Fun_Oinj__on(T_a,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_f_H_2),V_f_2),V_A_2) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comp__inj__on,axiom, % 158.64/158.64 ! [V_g_2,T_c,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.64 => ( c_Fun_Oinj__on(T_b,T_c,V_g_2,hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) % 158.64/158.64 => c_Fun_Oinj__on(T_a,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_g_2),V_f_2),V_A_2) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__imageI,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,V_g_2,T_c,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_g_2),V_f_2),V_A_2) % 158.64/158.64 => c_Fun_Oinj__on(T_c,T_b,V_g_2,hAPP(c_Set_Oimage(T_a,T_c,V_f_2),V_A_2)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__strict__subset,axiom, % 158.64/158.64 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2))) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_rangeI,axiom, % 158.64/158.64 ! [T_b,V_x_2,V_f_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ). % 158.64/158.64 % 158.64/158.64 fof(fact_range__eqI,axiom, % 158.64/158.64 ! [T_b,T_a,V_x_2,V_f_2,V_b_2] : % 158.64/158.64 ( V_b_2 = hAPP(V_f_2,V_x_2) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__map__add__dom,axiom, % 158.64/158.64 ! [V_m_H_2,V_m_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,tc_Option_Ooption(T_b),c_Map_Omap__add(T_a,T_b,V_m_2,V_m_H_2),c_Map_Odom(T_a,T_b,V_m_H_2)) % 158.64/158.64 <=> c_Fun_Oinj__on(T_a,tc_Option_Ooption(T_b),V_m_H_2,c_Map_Odom(T_a,T_b,V_m_H_2)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Diff__UNIV,axiom, % 158.64/158.64 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comp__surj,axiom, % 158.64/158.64 ! [V_g_2,T_c,V_f_2,T_a,T_b] : % 158.64/158.64 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( hAPP(c_Set_Oimage(T_a,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) % 158.64/158.64 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_a,T_c,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_c,tc_HOL_Obool)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Compl__empty__eq,axiom, % 158.64/158.64 ! [T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Compl__UNIV__eq,axiom, % 158.64/158.64 ! [T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__compl,axiom, % 158.64/158.64 ! [V_A_2,T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) % 158.64/158.64 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Sup__fin_Oin__idem,axiom, % 158.64/158.64 ! [V_x_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.64 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_sup__Inf__absorb,axiom, % 158.64/158.64 ! [V_a_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.64 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = V_a_2 ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Inf__fin_Oin__idem,axiom, % 158.64/158.64 ! [V_x_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inf__Sup__absorb,axiom, % 158.64/158.64 ! [V_a_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = V_a_2 ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Compl__partition2,axiom, % 158.64/158.64 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Compl__partition,axiom, % 158.64/158.64 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Compl__eq__Diff__UNIV,axiom, % 158.64/158.64 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_A_2) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__range__imageI,axiom, % 158.64/158.64 ! [V_f_2,T_c,V_g_2,T_b,T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) % 158.64/158.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,hAPP(hAPP(c_COMBB(T_a,T_c,T_b),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_endo__inj__surj,axiom, % 158.64/158.64 ! [V_f_2,V_A_2,T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2)),V_A_2)) % 158.64/158.64 => ( c_Fun_Oinj__on(T_a,T_a,V_f_2,V_A_2) % 158.64/158.64 => hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2) = V_A_2 ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__surj__inj,axiom, % 158.64/158.64 ! [V_f_2,V_A_2,T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2))) % 158.64/158.64 => c_Fun_Oinj__on(T_a,T_a,V_f_2,V_A_2) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__image__Int,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 158.64/158.64 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_dom__const,axiom, % 158.64/158.64 ! [V_f_2,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_Option_Ooption(T_b),T_a),c_Option_Ooption_OSome(T_b)),V_f_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__image__set__diff,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) % 158.64/158.64 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__fun__updI,axiom, % 158.64/158.64 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.64 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) % 158.64/158.64 => c_Fun_Oinj__on(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_A_2) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_compl__bot__eq,axiom, % 158.64/158.64 ! [T_a] : % 158.64/158.64 ( class_Lattices_Oboolean__algebra(T_a) % 158.64/158.64 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_compl__top__eq,axiom, % 158.64/158.64 ! [T_a] : % 158.64/158.64 ( class_Lattices_Oboolean__algebra(T_a) % 158.64/158.64 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_sup__compl__top,axiom, % 158.64/158.64 ! [V_x,T_a] : % 158.64/158.64 ( class_Lattices_Oboolean__algebra(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_compl__sup__top,axiom, % 158.64/158.64 ! [V_x,T_a] : % 158.64/158.64 ( class_Lattices_Oboolean__algebra(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Sup__fin_Oinsert__idem,axiom, % 158.64/158.64 ! [V_x_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Inf__fin_Oinsert__idem,axiom, % 158.64/158.64 ! [V_x_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Sup__fin_Osubset__idem,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 158.64/158.64 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Inf__fin_Osubset__idem,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 158.64/158.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Sup__fin_Ounion__idem,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.64 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Inf__fin_Ounion__idem,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.64 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold__graph__insert__swap,axiom, % 158.64/158.64 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_a] : % 158.64/158.64 ( class_Groups_Oab__semigroup__mult(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_b_2,V_A_2),V_y_2)) % 158.64/158.64 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2)) % 158.64/158.64 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z_2),V_y_2))) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_surj__Compl__image__subset,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,T_a,T_b] : % 158.64/158.64 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Sup__fin_Oidem,axiom, % 158.64/158.64 ! [V_x,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Inf__fin_Oidem,axiom, % 158.64/158.64 ! [V_x,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__range__updI,axiom, % 158.64/158.64 ! [V_b_2,V_a_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) % 158.64/158.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_f_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_a),V_b_2))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Sup__fin_Oinsert,axiom, % 158.64/158.64 ! [V_x_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Inf__fin_Oinsert,axiom, % 158.64/158.64 ! [V_x_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Sup__fin_Oinsert__remove,axiom, % 158.64/158.64 ! [V_x_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 ) % 158.64/158.64 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Inf__fin_Oinsert__remove,axiom, % 158.64/158.64 ! [V_x_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 ) % 158.64/158.64 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Sup__fin_Ounion__inter,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Sup__fin_Ounion__disjoint,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.64 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Inf__fin_Ounion__inter,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Inf__fin_Ounion__disjoint,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.64 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__insert,axiom, % 158.64/158.64 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) % 158.64/158.64 <=> ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.64 & ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__iff__surj,axiom, % 158.64/158.64 ! [V_A_H_2,T_b,T_a,V_A_2] : % 158.64/158.64 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( ? [B_f] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,B_f,V_A_2) % 158.64/158.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,B_f),V_A_2)),V_A_H_2)) ) % 158.64/158.64 <=> ? [B_g] : hAPP(c_Set_Oimage(T_b,T_a,B_g),V_A_H_2) = V_A_2 ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_folding__image_Oreindex,axiom, % 158.64/158.64 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_F_2) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.64 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 158.64/158.64 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_b,T_a,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Inf__fin_Oclosed,axiom, % 158.64/158.64 ! [V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),V_A_2)) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Sup__fin_Oclosed,axiom, % 158.64/158.64 ! [V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),V_A_2)) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_square__eq__iff,axiom, % 158.64/158.64 ! [V_b_2,V_a_2,T_a] : % 158.64/158.64 ( class_Rings_Oidom(T_a) % 158.64/158.64 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_b_2) % 158.64/158.64 <=> ( V_a_2 = V_b_2 % 158.64/158.64 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_minus__mult__minus,axiom, % 158.64/158.64 ! [V_b,V_a,T_a] : % 158.64/158.64 ( class_Rings_Oring(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_minus__mult__commute,axiom, % 158.64/158.64 ! [V_b,V_a,T_a] : % 158.64/158.64 ( class_Rings_Oring(T_a) % 158.64/158.64 => 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)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_minus__mult__left,axiom, % 158.64/158.64 ! [V_b,V_a,T_a] : % 158.64/158.64 ( class_Rings_Oring(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_minus__mult__right,axiom, % 158.64/158.64 ! [V_b,V_a,T_a] : % 158.64/158.64 ( class_Rings_Oring(T_a) % 158.64/158.64 => 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)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_top1I,axiom, % 158.64/158.64 ! [V_x_2,T_a] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_x_2)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_folding__image_Odistrib,axiom, % 158.64/158.64 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_F_2) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.64 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),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)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_linorder__neqE__linordered__idom,axiom, % 158.64/158.64 ! [V_y,V_x,T_a] : % 158.64/158.64 ( class_Rings_Olinordered__idom(T_a) % 158.64/158.64 => ( V_x != V_y % 158.64/158.64 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_the__inv__into__comp,axiom, % 158.64/158.64 ! [V_x_2,V_A_2,V_g_2,T_c,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2)) % 158.64/158.64 => ( c_Fun_Oinj__on(T_c,T_a,V_g_2,V_A_2) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2)))) % 158.64/158.64 => hAPP(c_Fun_Othe__inv__into(T_c,T_b,V_A_2,hAPP(c_Fun_Ocomp(T_a,T_b,T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_a,T_c,T_b,c_Fun_Othe__inv__into(T_c,T_a,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_a,T_b,hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_the__inv__into__into,axiom, % 158.64/158.64 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__vimage__singleton,axiom, % 158.64/158.64 ! [V_a_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,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))))),hAPP(hAPP(c_Set_Oinsert(T_a),c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Inf__fin_Ohom__commute,axiom, % 158.64/158.64 ! [V_N_2,V_h_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 158.64/158.64 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_a,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Sup__fin_Ohom__commute,axiom, % 158.64/158.64 ! [V_N_2,V_h_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 158.64/158.64 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_a,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_sum__case__KK,axiom, % 158.64/158.64 ! [V_x_2,V_a_2,T_c,T_a,T_b] : hAPP(c_Sum__Type_Osum_Osum__case(T_b,T_a,T_c,hAPP(c_COMBK(T_a,T_b),V_a_2),hAPP(c_COMBK(T_a,T_c),V_a_2)),V_x_2) = V_a_2 ). % 158.64/158.64 % 158.64/158.64 fof(fact_image__eq__fold__image,axiom, % 158.64/158.64 ! [V_f_2,T_b,V_A_2,T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_b,tc_HOL_Obool),T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,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_a),c_Set_Oinsert(T_b)),V_f_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))),V_A_2) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold1__Un,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,T_a] : % 158.64/158.64 ( class_Groups_Oab__semigroup__mult(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.64 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_B_2)) ) ) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimageI,axiom, % 158.64/158.64 ! [T_b,V_B_2,T_a,V_b_2,V_a_2,V_f_2] : % 158.64/158.64 ( hAPP(V_f_2,V_a_2) = V_b_2 % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_B_2)) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2))) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__code,axiom, % 158.64/158.64 ! [V_x_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2),V_x_2)) % 158.64/158.64 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__ident,axiom, % 158.64/158.64 ! [V_Y_2,T_a] : hAPP(c_Set_Ovimage(T_a,T_a,c_COMBI(T_a)),V_Y_2) = V_Y_2 ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__eq,axiom, % 158.64/158.64 ! [V_B_2,V_f_2,T_b,V_a_2,T_a] : % 158.64/158.64 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2))) % 158.64/158.64 <=> hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_B_2)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimageD,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,T_b,V_a_2,T_a] : % 158.64/158.64 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2))) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimageI2,axiom, % 158.64/158.64 ! [T_b,V_A_2,V_a_2,V_f_2,T_a] : % 158.64/158.64 ( hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_a_2)),V_A_2)) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2))) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__empty,axiom, % 158.64/158.64 ! [V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__mono,axiom, % 158.64/158.64 ! [V_f_2,T_b,V_B_2,V_A_2,T_a] : % 158.64/158.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2))) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__UNIV,axiom, % 158.64/158.64 ! [V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,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_a,tc_HOL_Obool)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__Un,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,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_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__Int,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,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_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__compose,axiom, % 158.64/158.64 ! [V_x_2,V_f_2,V_g_2,T_c,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_a,T_c,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_g_2),V_x_2)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__Diff,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,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_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__Compl,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,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_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold__image__empty,axiom, % 158.64/158.64 ! [V_z_2,V_g_2,V_f_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ). % 158.64/158.64 % 158.64/158.64 fof(fact_image__vimage__subset,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2))),V_A_2)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_surj__image__vimage__eq,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,T_a,T_b] : % 158.64/158.64 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)) = V_A_2 ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold1__singleton,axiom, % 158.64/158.64 ! [V_a_2,V_f_2,T_a] : hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold1__singleton__def,axiom, % 158.64/158.64 ! [V_a_2,V_f_2,T_a,V_g_2] : % 158.64/158.64 ( V_g_2 = c_Finite__Set_Ofold1(T_a,V_f_2) % 158.64/158.64 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_folding__image__simple_Oeq__fold__g,axiom, % 158.64/158.64 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.64 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_folding__image_Oeq__fold,axiom, % 158.64/158.64 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_F_2) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.64 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_folding__one_Oeq__fold,axiom, % 158.64/158.64 ! [V_A_2,V_F_2,V_f_2,T_a] : % 158.64/158.64 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__singleton__eq,axiom, % 158.64/158.64 ! [V_b_2,V_f_2,T_b,V_a_2,T_a] : % 158.64/158.64 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 158.64/158.64 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__insert,axiom, % 158.64/158.64 ! [V_B_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,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))))),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__vimageD,axiom, % 158.64/158.64 ! [V_F_2,V_h_2,T_b,T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Ovimage(T_a,T_b,V_h_2),V_F_2))) % 158.64/158.64 => ( hAPP(c_Set_Oimage(T_a,T_b,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 158.64/158.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__subsetD,axiom, % 158.64/158.64 ! [V_A_2,V_B_2,V_f_2,T_a,T_b] : % 158.64/158.64 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2)),V_A_2)) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_image__vimage__eq,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__vimageI,axiom, % 158.64/158.64 ! [V_h_2,T_b,V_F_2,T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 158.64/158.64 => ( c_Fun_Oinj__on(T_b,T_a,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 158.64/158.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_a,V_h_2),V_F_2))) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__vimage__image__eq,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.64 => hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = V_A_2 ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__const,axiom, % 158.64/158.64 ! [T_b,V_A_2,V_ca_2,T_a] : % 158.64/158.64 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.64 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(c_COMBK(T_a,T_b),V_ca_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) % 158.64/158.64 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.64 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(c_COMBK(T_a,T_b),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_the__inv__into__f__f,axiom, % 158.64/158.64 ! [V_x_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.64 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_the__inv__into__f__eq,axiom, % 158.64/158.64 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.64 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.64 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold1__def,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,T_a] : hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) = c_HOL_OThe(T_a,c_Finite__Set_Ofold1Set(T_a,V_f_2,V_A_2)) ). % 158.64/158.64 % 158.64/158.64 fof(fact_the__inv__f__f,axiom, % 158.64/158.64 ! [V_x_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.64 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_inj__on__the__inv__into,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.64 => c_Fun_Oinj__on(T_b,T_a,c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_the__inv__into__onto,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.64 => hAPP(c_Set_Oimage(T_b,T_a,c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = V_A_2 ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Sup__fin_OF__eq,axiom, % 158.64/158.64 ! [V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_A_2) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_Inf__fin_OF__eq,axiom, % 158.64/158.64 ! [V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Olattice(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__subsetI,axiom, % 158.64/158.64 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)),V_A_2)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_the__inv__into__def,axiom, % 158.64/158.64 ! [V_x_2,V_f_2,V_A_2,T_b,T_a] : hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_x_2))) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold__image__insert,axiom, % 158.64/158.64 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_a,T_b] : % 158.64/158.64 ( class_Groups_Oab__semigroup__mult(T_b) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.64 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),V_A_2)) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_vimage__if,axiom, % 158.64/158.64 ! [V_B_2,T_b,V_d_2,V_A_2,V_ca_2,T_a] : % 158.64/158.64 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.64 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2)) % 158.64/158.64 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) % 158.64/158.64 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2)) % 158.64/158.64 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = V_B_2 ) ) ) % 158.64/158.64 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) % 158.64/158.64 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2)) % 158.64/158.64 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2) ) % 158.64/158.64 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2)) % 158.64/158.64 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold1__belowI,axiom, % 158.64/158.64 ! [V_a_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2)),V_a_2)) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_below__fold1__iff,axiom, % 158.64/158.64 ! [V_x_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Osemilattice__inf(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2))) % 158.64/158.64 <=> ! [B_x] : % 158.64/158.64 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold1__insert__idem,axiom, % 158.64/158.64 ! [V_x_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold1__Un2,axiom, % 158.64/158.64 ! [V_B_2,V_A_2,T_a] : % 158.64/158.64 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.64 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_B_2)) ) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_sum__case__inject,axiom, % 158.64/158.64 ! [V_g2_2,V_g1_2,V_f2_2,V_f1_2,T_b,T_c,T_a] : % 158.64/158.64 ( c_Sum__Type_Osum_Osum__case(T_a,T_c,T_b,V_f1_2,V_f2_2) = c_Sum__Type_Osum_Osum__case(T_a,T_c,T_b,V_g1_2,V_g2_2) % 158.64/158.64 => ~ ( V_f1_2 = V_g1_2 % 158.64/158.64 => V_f2_2 != V_g2_2 ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_sum__case__weak__cong,axiom, % 158.64/158.64 ! [V_g_2,V_f_2,T_b,T_c,T_a,V_t_2,V_s_2] : % 158.64/158.64 ( V_s_2 = V_t_2 % 158.64/158.64 => hAPP(c_Sum__Type_Osum_Osum__case(T_a,T_c,T_b,V_f_2,V_g_2),V_s_2) = hAPP(c_Sum__Type_Osum_Osum__case(T_a,T_c,T_b,V_f_2,V_g_2),V_t_2) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_f__the__inv__into__f,axiom, % 158.64/158.64 ! [V_y_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) % 158.64/158.64 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold__image__reindex,axiom, % 158.64/158.64 ! [V_z_2,V_g_2,V_h_2,T_b,V_A_2,T_a,T_c] : % 158.64/158.64 ( class_Groups_Oab__semigroup__mult(T_c) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( c_Fun_Oinj__on(T_a,T_b,V_h_2,V_A_2) % 158.64/158.64 => 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(c_Set_Oimage(T_a,T_b,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_a,c_Groups_Otimes__class_Otimes(T_c)),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold1__insert,axiom, % 158.64/158.64 ! [V_x_2,V_A_2,T_a] : % 158.64/158.64 ( class_Groups_Oab__semigroup__mult(T_a) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.64 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_semilattice__big_OF__eq,axiom, % 158.64/158.64 ! [V_A_2,V_F_2,V_f_2,T_a] : % 158.64/158.64 ( c_Big__Operators_Osemilattice__big(T_a,V_f_2,V_F_2) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__monoid__big_OF__eq,axiom, % 158.64/158.64 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Big__Operators_Ocomm__monoid__big(T_a,T_b,V_f_2,V_z_2,V_F_2) % 158.64/158.64 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.64 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) ) % 158.64/158.64 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.64 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold1__in,axiom, % 158.64/158.64 ! [V_A_2,T_a] : % 158.64/158.64 ( class_Groups_Oab__semigroup__mult(T_a) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),V_A_2)) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_hom__fold1__commute,axiom, % 158.64/158.64 ! [V_N_2,V_h_2,T_a] : % 158.64/158.64 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 158.64/158.64 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 158.64/158.64 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold__Un__disjoint,axiom, % 158.64/158.64 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 158.64/158.64 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_B_2)) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__range__map__of__map__add,axiom, % 158.64/158.64 ! [V_l_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) % 158.64/158.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),c_Map_Omap__add(T_b,T_a,V_f_2,hAPP(c_Map_Omap__of(T_b,T_a),V_l_2))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum__diff1,axiom, % 158.64/158.64 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] : % 158.64/158.64 ( class_Groups_Oab__group__add(T_b) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 158.64/158.64 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum__diff1__ring,axiom, % 158.64/158.64 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] : % 158.64/158.64 ( class_Rings_Oring(T_b) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum__commute,axiom, % 158.64/158.64 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] : % 158.64/158.64 ( class_Groups_Ocomm__monoid__add(T_a) % 158.64/158.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_a),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))),V_A_2)),V_B_2) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_one__reorient,axiom, % 158.64/158.64 ! [V_x_2,T_a] : % 158.64/158.64 ( class_Groups_Oone(T_a) % 158.64/158.64 => ( c_Groups_Oone__class_Oone(T_a) = V_x_2 % 158.64/158.64 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_mult_Ocomm__neutral,axiom, % 158.64/158.64 ! [V_a,T_a] : % 158.64/158.64 ( class_Groups_Ocomm__monoid__mult(T_a) % 158.64/158.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_mult__1__right,axiom, % 158.64/158.64 ! [V_a,T_a] : % 158.64/158.64 ( class_Groups_Omonoid__mult(T_a) % 158.64/158.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_mult__1,axiom, % 158.64/158.64 ! [V_a,T_a] : % 158.64/158.64 ( class_Groups_Ocomm__monoid__mult(T_a) % 158.64/158.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_mult__1__left,axiom, % 158.64/158.64 ! [V_a,T_a] : % 158.64/158.64 ( class_Groups_Omonoid__mult(T_a) % 158.64/158.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum__product,axiom, % 158.64/158.64 ! [V_B_2,V_g_2,T_c,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( class_Rings_Osemiring__0(T_a) % 158.64/158.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_a),tc_fun(T_c,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,T_a),tc_fun(tc_fun(T_c,T_a),tc_fun(T_c,T_a)),T_b),c_COMBB(T_a,T_a,T_c)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum__left__distrib,axiom, % 158.64/158.64 ! [V_r_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( class_Rings_Osemiring__0(T_a) % 158.64/158.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_r_2)),V_A_2) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum__right__distrib,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,T_b,V_r_2,T_a] : % 158.64/158.64 ( class_Rings_Osemiring__0(T_a) % 158.64/158.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r_2)),V_f_2)),V_A_2) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum__subtractf,axiom, % 158.64/158.64 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( class_Groups_Oab__group__add(T_a) % 158.64/158.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),V_A_2)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum__negf,axiom, % 158.64/158.64 ! [V_A_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( class_Groups_Oab__group__add(T_a) % 158.64/158.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Ouminus__class_Ouminus(T_a)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_less__1__mult,axiom, % 158.64/158.64 ! [V_n,V_m,T_a] : % 158.64/158.64 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)) % 158.64/158.64 => 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))) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_square__eq__1__iff,axiom, % 158.64/158.64 ! [V_x_2,T_a] : % 158.64/158.64 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 158.64/158.64 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_a) % 158.64/158.64 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_a) % 158.64/158.64 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__dom__map__of,axiom, % 158.64/158.64 ! [V_l_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Map_Odom(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_l_2)))) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum__diff__nat,axiom, % 158.64/158.64 ! [V_f_2,V_A_2,V_B_2,T_a] : % 158.64/158.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 158.64/158.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum__reindex,axiom, % 158.64/158.64 ! [V_h_2,V_B_2,V_f_2,T_b,T_a,T_c] : % 158.64/158.64 ( class_Groups_Ocomm__monoid__add(T_c) % 158.64/158.64 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2) % 158.64/158.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_B_2) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold__image__distrib,axiom, % 158.64/158.64 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] : % 158.64/158.64 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Otimes__class_Otimes(T_b)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_b)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_h_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum__diff1__nat,axiom, % 158.64/158.64 ! [V_f_2,V_A_2,V_a_2,T_a] : % 158.64/158.64 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 158.64/158.64 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum__diff,axiom, % 158.64/158.64 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] : % 158.64/158.64 ( class_Groups_Oab__group__add(T_b) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 158.64/158.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2)) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum_Oreindex,axiom, % 158.64/158.64 ! [V_g_2,V_h_2,V_A_2,T_a,T_b] : % 158.64/158.64 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( c_Fun_Oinj__on(T_a,T_a,V_h_2,V_A_2) % 158.64/158.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_finite__range__map__of,axiom, % 158.64/158.64 ! [V_xys_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),hAPP(c_Map_Omap__of(T_b,T_a),V_xys_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__monoid__big_Oinfinite,axiom, % 158.64/158.64 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( c_Big__Operators_Ocomm__monoid__big(T_a,T_b,V_f_2,V_z_2,V_F_2) % 158.64/158.64 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 158.64/158.64 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold__image__Un__Int,axiom, % 158.64/158.64 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 158.64/158.64 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 158.64/158.64 ! [V_x,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__ring__1(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_fold__image__Un__one,axiom, % 158.64/158.64 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] : % 158.64/158.64 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2)) % 158.64/158.64 => ( ! [B_x] : % 158.64/158.64 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))) % 158.64/158.64 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) ) % 158.64/158.64 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_T_2)) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 158.64/158.64 ! [V_a,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 158.64/158.64 ! [V_a,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_body__def,axiom, % 158.64/158.64 c_Com_Obody = hAPP(c_Map_Omap__of(tc_Com_Opname,tc_Com_Ocom),c_Com_Obodies) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum__strict__mono,axiom, % 158.64/158.64 ! [V_g_2,V_f_2,V_A_2,T_a,T_b] : % 158.64/158.64 ( ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.64 & class_Groups_Oordered__cancel__ab__semigroup__add(T_b) ) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.64 => ( ! [B_x] : % 158.64/158.64 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2))) ) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum_Oremove,axiom, % 158.64/158.64 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] : % 158.64/158.64 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum__diff1_H,axiom, % 158.64/158.64 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] : % 158.64/158.64 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 158.64/158.64 ! [V_d,V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.64 => 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)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 158.64/158.64 ! [V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 158.64/158.64 ! [V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.64 => 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)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 158.64/158.64 ! [V_d,V_c,V_a,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 158.64/158.64 ! [V_d,V_c,V_a,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.64 => 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)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 158.64/158.64 ! [V_c,V_a,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 158.64/158.64 ! [V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Oab__semigroup__add(T_a) % 158.64/158.64 => 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)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__left__cancel,axiom, % 158.64/158.64 ! [V_ca_2,V_b_2,V_a_2,T_a] : % 158.64/158.64 ( class_Groups_Ocancel__semigroup__add(T_a) % 158.64/158.64 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ca_2) % 158.64/158.64 <=> V_b_2 = V_ca_2 ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__right__cancel,axiom, % 158.64/158.64 ! [V_ca_2,V_a_2,V_b_2,T_a] : % 158.64/158.64 ( class_Groups_Ocancel__semigroup__add(T_a) % 158.64/158.64 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_a_2) % 158.64/158.64 <=> V_b_2 = V_ca_2 ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__left__imp__eq,axiom, % 158.64/158.64 ! [V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Ocancel__semigroup__add(T_a) % 158.64/158.64 => ( 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) % 158.64/158.64 => V_b = V_c ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__imp__eq,axiom, % 158.64/158.64 ! [V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 158.64/158.64 => ( 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) % 158.64/158.64 => V_b = V_c ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__right__imp__eq,axiom, % 158.64/158.64 ! [V_c,V_a,V_b,T_a] : % 158.64/158.64 ( class_Groups_Ocancel__semigroup__add(T_a) % 158.64/158.64 => ( 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) % 158.64/158.64 => V_b = V_c ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 158.64/158.64 ! [V_z,V_y,V_x,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.64 => 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)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_crossproduct__noteq,axiom, % 158.64/158.64 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 158.64/158.64 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 158.64/158.64 => ( ( V_a_2 != V_b_2 % 158.64/158.64 & V_ca_2 != V_d_2 ) % 158.64/158.64 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 158.64/158.64 ! [V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.64 => 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)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 158.64/158.64 ! [V_b,V_m,V_a,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_crossproduct__eq,axiom, % 158.64/158.64 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_a] : % 158.64/158.64 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 158.64/158.64 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2)) % 158.64/158.64 <=> ( V_w_2 = V_x_2 % 158.64/158.64 | V_y_2 = V_z_2 ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__le__imp__le__left,axiom, % 158.64/158.64 ! [V_b,V_a,V_c,T_a] : % 158.64/158.64 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 158.64/158.64 => ( 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))) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__le__imp__le__right,axiom, % 158.64/158.64 ! [V_b,V_c,V_a,T_a] : % 158.64/158.64 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 158.64/158.64 => ( 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))) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__mono,axiom, % 158.64/158.64 ! [V_d,V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 158.64/158.64 => 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))) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__left__mono,axiom, % 158.64/158.64 ! [V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.64/158.64 => 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))) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__right__mono,axiom, % 158.64/158.64 ! [V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.64/158.64 => 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))) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__le__cancel__left,axiom, % 158.64/158.64 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 158.64/158.64 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_b_2))) % 158.64/158.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__le__cancel__right,axiom, % 158.64/158.64 ! [V_b_2,V_ca_2,V_a_2,T_a] : % 158.64/158.64 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_ca_2))) % 158.64/158.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__less__cancel__right,axiom, % 158.64/158.64 ! [V_b_2,V_ca_2,V_a_2,T_a] : % 158.64/158.64 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_ca_2))) % 158.64/158.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__less__cancel__left,axiom, % 158.64/158.64 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 158.64/158.64 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_b_2))) % 158.64/158.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__strict__right__mono,axiom, % 158.64/158.64 ! [V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.64/158.64 => 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))) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__strict__left__mono,axiom, % 158.64/158.64 ! [V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.64/158.64 => 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))) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__strict__mono,axiom, % 158.64/158.64 ! [V_d,V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 158.64/158.64 => 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))) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__less__imp__less__right,axiom, % 158.64/158.64 ! [V_b,V_c,V_a,T_a] : % 158.64/158.64 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 158.64/158.64 => ( 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))) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__less__imp__less__left,axiom, % 158.64/158.64 ! [V_b,V_a,V_c,T_a] : % 158.64/158.64 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 158.64/158.64 => ( 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))) % 158.64/158.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__semiring__class_Odistrib,axiom, % 158.64/158.64 ! [V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__semiring(T_a) % 158.64/158.64 => 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)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_combine__common__factor,axiom, % 158.64/158.64 ! [V_c,V_b,V_e,V_a,T_a] : % 158.64/158.64 ( class_Rings_Osemiring(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__diff__cancel,axiom, % 158.64/158.64 ! [V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Ogroup__add(T_a) % 158.64/158.64 => 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 ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_diff__add__cancel,axiom, % 158.64/158.64 ! [V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Ogroup__add(T_a) % 158.64/158.64 => 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 ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_minus__add__distrib,axiom, % 158.64/158.64 ! [V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Oab__group__add(T_a) % 158.64/158.64 => 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)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_minus__add,axiom, % 158.64/158.64 ! [V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Ogroup__add(T_a) % 158.64/158.64 => 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)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__minus__cancel,axiom, % 158.64/158.64 ! [V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Ogroup__add(T_a) % 158.64/158.64 => 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 ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_minus__add__cancel,axiom, % 158.64/158.64 ! [V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Ogroup__add(T_a) % 158.64/158.64 => 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 ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 158.64/158.64 ! [V_m,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 158.64/158.64 ! [V_a,V_m,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 158.64/158.64 ! [V_m,V_a,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 158.64/158.64 ! [V_y,V_x,T_a] : % 158.64/158.64 ( class_Rings_Ocomm__ring__1(T_a) % 158.64/158.64 => 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)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum__addf,axiom, % 158.64/158.64 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] : % 158.64/158.64 ( class_Groups_Ocomm__monoid__add(T_a) % 158.64/158.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Oplus__class_Oplus(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),V_A_2)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__less__le__mono,axiom, % 158.64/158.64 ! [V_d,V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 158.64/158.64 => 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))) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_add__le__less__mono,axiom, % 158.64/158.64 ! [V_d,V_c,V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.64/158.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 158.64/158.64 => 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))) ) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_less__add__one,axiom, % 158.64/158.64 ! [V_a,T_a] : % 158.64/158.64 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.64 => 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)))) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_eq__add__iff1,axiom, % 158.64/158.64 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 158.64/158.64 ( class_Rings_Oring(T_a) % 158.64/158.64 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2) % 158.64/158.64 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_ca_2) = V_d_2 ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_eq__add__iff2,axiom, % 158.64/158.64 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 158.64/158.64 ( class_Rings_Oring(T_a) % 158.64/158.64 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2) % 158.64/158.64 <=> V_ca_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_diff__def,axiom, % 158.64/158.64 ! [V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Ogroup__add(T_a) % 158.64/158.64 => 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)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_ab__diff__minus,axiom, % 158.64/158.64 ! [V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Oab__group__add(T_a) % 158.64/158.64 => 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)) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_diff__minus__eq__add,axiom, % 158.64/158.64 ! [V_b,V_a,T_a] : % 158.64/158.64 ( class_Groups_Ogroup__add(T_a) % 158.64/158.64 => 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) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_setsum_Odistrib,axiom, % 158.64/158.64 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] : % 158.64/158.64 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Oplus__class_Oplus(T_b)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_h_2),V_A_2)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_le__add__iff1,axiom, % 158.64/158.64 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 158.64/158.64 ( class_Rings_Oordered__ring(T_a) % 158.64/158.64 => ( 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_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))) % 158.64/158.64 <=> 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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_le__add__iff2,axiom, % 158.64/158.64 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 158.64/158.64 ( class_Rings_Oordered__ring(T_a) % 158.64/158.64 => ( 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_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))) % 158.64/158.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_less__add__iff1,axiom, % 158.64/158.64 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 158.64/158.64 ( class_Rings_Oordered__ring(T_a) % 158.64/158.64 => ( 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_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))) % 158.64/158.64 <=> 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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ). % 158.64/158.64 % 158.64/158.64 fof(fact_less__add__iff2,axiom, % 158.64/158.64 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 158.64/158.64 ( class_Rings_Oordered__ring(T_a) % 158.64/158.64 => ( 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_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))) % 158.64/158.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum__Un__nat,axiom, % 158.64/158.65 ! [V_f_2,V_B_2,V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 158.64/158.65 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 158.64/158.65 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.65 => 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)) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 158.64/158.65 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 158.64/158.65 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.65 => 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)) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 158.64/158.65 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 158.64/158.65 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.65 => 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))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 158.64/158.65 ! [V_rx,V_ly,V_lx,T_a] : % 158.64/158.65 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.65 => 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) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 158.64/158.65 ! [V_rx,V_ly,V_lx,T_a] : % 158.64/158.65 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.65 => 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)) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 158.64/158.65 ! [V_ry,V_rx,V_lx,T_a] : % 158.64/158.65 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.65 => 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) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 158.64/158.65 ! [V_ry,V_rx,V_lx,T_a] : % 158.64/158.65 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.65 => 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)) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.65 => 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) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum_Oinsert,axiom, % 158.64/158.65 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum__insert,axiom, % 158.64/158.65 ! [V_f_2,V_a_2,V_F_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 158.64/158.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_F_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_F_2)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum__Un__Int,axiom, % 158.64/158.65 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum_Oinsert__remove,axiom, % 158.64/158.65 ! [V_x_2,V_g_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum__Un__disjoint,axiom, % 158.64/158.65 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum__Un,axiom, % 158.64/158.65 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Oab__group__add(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__Diff__singleton,axiom, % 158.64/158.65 ! [V_x_2,V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.65 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__Diff__singleton__if,axiom, % 158.64/158.65 ! [V_x_2,V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.65 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) % 158.64/158.65 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.65 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_finite__map__freshness,axiom, % 158.64/158.65 ! [V_f_2,T_b,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Map_Odom(T_a,T_b,V_f_2))) % 158.64/158.65 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) % 158.64/158.65 => ? [B_x] : hAPP(V_f_2,B_x) = c_Option_Ooption_ONone(T_b) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod_Oremove,axiom, % 158.64/158.65 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_convex__bound__lt,axiom, % 158.64/158.65 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 158.64/158.65 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 158.64/158.65 => 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)) ) ) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_fold__image__1,axiom, % 158.64/158.65 ! [V_f_2,V_S_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.64/158.65 => ( ! [B_x] : % 158.64/158.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2)) % 158.64/158.65 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) ) % 158.64/158.65 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum__cases,axiom, % 158.64/158.65 ! [V_g_2,V_f_2,V_P_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),V_P_2)),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_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_P_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2))))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_fold__image__cong,axiom, % 158.64/158.65 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Oab__semigroup__mult(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( ! [B_x] : % 158.64/158.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.64/158.65 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 158.64/158.65 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_h_2),V_z_2),V_A_2) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_CollectI,axiom, % 158.64/158.65 ! [T_a,V_a_2,V_P_2] : % 158.64/158.65 ( hBOOL(hAPP(V_P_2,V_a_2)) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_finite__Collect__conjI,axiom, % 158.64/158.65 ! [V_Q_2,V_P_2,T_a] : % 158.64/158.65 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2))) % 158.64/158.65 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Q_2))) ) % 158.64/158.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),V_Q_2)))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_finite__Collect__subsets,axiom, % 158.64/158.65 ! [V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),V_A_2)))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card_Oeq__fold__g,axiom, % 158.64/158.65 ! [V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_a,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__def,axiom, % 158.64/158.65 ! [V_A_2,T_a] : % 158.64/158.65 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_a,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) % 158.64/158.65 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_zero__reorient,axiom, % 158.64/158.65 ! [V_x_2,T_a] : % 158.64/158.65 ( class_Groups_Ozero(T_a) % 158.64/158.65 => ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2 % 158.64/158.65 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card_Oempty,axiom, % 158.64/158.65 ! [T_a] : hAPP(c_Finite__Set_Ocard(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.64/158.65 % 158.64/158.65 fof(fact_Collect__def,axiom, % 158.64/158.65 ! [V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),V_P_2) = V_P_2 ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__infinite,axiom, % 158.64/158.65 ! [V_A_2,T_a] : % 158.64/158.65 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod__zero__iff,axiom, % 158.64/158.65 ! [V_f_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( ( class_Rings_Ocomm__semiring__1(T_b) % 158.64/158.65 & class_Rings_Ono__zero__divisors(T_b) ) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) % 158.64/158.65 <=> ? [B_x] : % 158.64/158.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.64/158.65 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod__zero,axiom, % 158.64/158.65 ! [V_f_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Rings_Ocomm__semiring__1(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( ? [B_x] : % 158.64/158.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.64/158.65 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__ge__0__finite,axiom, % 158.64/158.65 ! [V_A_2,T_a] : % 158.64/158.65 ( 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_a),V_A_2))) % 158.64/158.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod__pos__nat__iff,axiom, % 158.64/158.65 ! [V_f_2,V_S_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.64/158.65 => ( 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_a,tc_Nat_Onat),V_f_2),V_S_2))) % 158.64/158.65 <=> ! [B_x] : % 158.64/158.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__UNIV__unit,axiom, % 158.64/158.65 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) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__eq__0__iff,axiom, % 158.64/158.65 ! [V_A_2,T_a] : % 158.64/158.65 ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.65 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.65 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__gt__0__iff,axiom, % 158.64/158.65 ! [V_A_2,T_a] : % 158.64/158.65 ( 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_a),V_A_2))) % 158.64/158.65 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.65 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_finite__UNIV__card__ge__0,axiom, % 158.64/158.65 ! [T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) % 158.64/158.65 => 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_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod__eq__1__iff,axiom, % 158.64/158.65 ! [V_f_2,V_F_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 158.64/158.65 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 158.64/158.65 <=> ! [B_x] : % 158.64/158.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_F_2)) % 158.64/158.65 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_Collect__empty__eq,axiom, % 158.64/158.65 ! [V_P_2,T_a] : % 158.64/158.65 ( hAPP(c_Set_OCollect(T_a),V_P_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.65 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_empty__Collect__eq,axiom, % 158.64/158.65 ! [V_P_2,T_a] : % 158.64/158.65 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),V_P_2) % 158.64/158.65 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add_Ocomm__neutral,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_a) % 158.64/158.65 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__0__right,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Groups_Omonoid__add(T_a) % 158.64/158.65 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_double__zero__sym,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Olinordered__ab__group__add(T_a) % 158.64/158.65 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2) % 158.64/158.65 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__0,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_a) % 158.64/158.65 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__0__left,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Groups_Omonoid__add(T_a) % 158.64/158.65 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.65 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.65 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__0__iff,axiom, % 158.64/158.65 ! [V_a_2,V_b_2,T_a] : % 158.64/158.65 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 158.64/158.65 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2) % 158.64/158.65 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_divisors__zero,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Ono__zero__divisors(T_a) % 158.64/158.65 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.65 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.65 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_no__zero__divisors,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Ono__zero__divisors(T_a) % 158.64/158.65 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.65 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.65 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__eq__0__iff,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,T_a] : % 158.64/158.65 ( class_Rings_Oring__no__zero__divisors(T_a) % 158.64/158.65 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.65 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.65 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__zero__right,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Rings_Omult__zero(T_a) % 158.64/158.65 => 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) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__zero__left,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Rings_Omult__zero(T_a) % 158.64/158.65 => 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) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.65 => 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) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.65 => 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) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_diff__0__right,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Groups_Ogroup__add(T_a) % 158.64/158.65 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_diff__self,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Groups_Ogroup__add(T_a) % 158.64/158.65 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_eq__iff__diff__eq__0,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Oab__group__add(T_a) % 158.64/158.65 => ( V_a_2 = V_b_2 % 158.64/158.65 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_right__minus__eq,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Ogroup__add(T_a) % 158.64/158.65 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.65 <=> V_a_2 = V_b_2 ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_zero__neq__one,axiom, % 158.64/158.65 ! [T_a] : % 158.64/158.65 ( class_Rings_Ozero__neq__one(T_a) % 158.64/158.65 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_one__neq__zero,axiom, % 158.64/158.65 ! [T_a] : % 158.64/158.65 ( class_Rings_Ozero__neq__one(T_a) % 158.64/158.65 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_neg__equal__zero,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Olinordered__ab__group__add(T_a) % 158.64/158.65 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = V_a_2 % 158.64/158.65 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_neg__equal__0__iff__equal,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Ogroup__add(T_a) % 158.64/158.65 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.65 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_equal__neg__zero,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Olinordered__ab__group__add(T_a) % 158.64/158.65 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) % 158.64/158.65 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_neg__0__equal__iff__equal,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Ogroup__add(T_a) % 158.64/158.65 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) % 158.64/158.65 <=> c_Groups_Ozero__class_Ozero(T_a) = V_a_2 ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_minus__zero,axiom, % 158.64/158.65 ! [T_a] : % 158.64/158.65 ( class_Groups_Ogroup__add(T_a) % 158.64/158.65 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod__timesf,axiom, % 158.64/158.65 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_a) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_g_2),V_A_2)) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod__1,axiom, % 158.64/158.65 ! [V_A_2,T_b,T_a] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_a) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Oone__class_Oone(T_a))),V_A_2) = c_Groups_Oone__class_Oone(T_a) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_CollectE,axiom, % 158.64/158.65 ! [V_P_2,V_a_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2))) % 158.64/158.65 => hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_CollectD,axiom, % 158.64/158.65 ! [V_P_2,V_a_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2))) % 158.64/158.65 => hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mem__Collect__eq,axiom, % 158.64/158.65 ! [V_P_2,V_a_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2))) % 158.64/158.65 <=> hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_Collect__mem__eq,axiom, % 158.64/158.65 ! [V_A_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)) = V_A_2 ). % 158.64/158.65 % 158.64/158.65 fof(fact_empty__def,axiom, % 158.64/158.65 ! [T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fFalse)) ). % 158.64/158.65 % 158.64/158.65 fof(fact_finite__Collect__disjI,axiom, % 158.64/158.65 ! [V_Q_2,V_P_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),V_P_2)),V_Q_2)))) % 158.64/158.65 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2))) % 158.64/158.65 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Q_2))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_insert__Collect,axiom, % 158.64/158.65 ! [V_P_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)))),V_P_2)) ). % 158.64/158.65 % 158.64/158.65 fof(fact_nat__seg__image__imp__finite,axiom, % 158.64/158.65 ! [V_n_2,V_f_2,T_a,V_A_2] : % 158.64/158.65 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_a,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))) % 158.64/158.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_UNIV__def,axiom, % 158.64/158.65 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fTrue)) ). % 158.64/158.65 % 158.64/158.65 fof(fact_Collect__disj__eq,axiom, % 158.64/158.65 ! [V_Q_2,V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(c_Set_OCollect(T_a),V_Q_2)) ). % 158.64/158.65 % 158.64/158.65 fof(fact_Collect__conj__eq,axiom, % 158.64/158.65 ! [V_Q_2,V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(c_Set_OCollect(T_a),V_Q_2)) ). % 158.64/158.65 % 158.64/158.65 fof(fact_Collect__neg__eq,axiom, % 158.64/158.65 ! [V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2)) ). % 158.64/158.65 % 158.64/158.65 fof(fact_vimage__Collect__eq,axiom, % 158.64/158.65 ! [V_P_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_a),V_P_2),V_f_2)) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__eq__setsum,axiom, % 158.64/158.65 ! [V_A_2,T_a] : hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum__0,axiom, % 158.64/158.65 ! [V_A_2,T_b,T_a] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_a) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Ozero__class_Ozero(T_a))),V_A_2) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod__empty,axiom, % 158.64/158.65 ! [V_f_2,T_b,T_a] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_a) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_a) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod_Oempty,axiom, % 158.64/158.65 ! [V_g_2,T_b,T_a] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_a) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_a) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod__infinite,axiom, % 158.64/158.65 ! [V_f_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod_Oinfinite,axiom, % 158.64/158.65 ! [V_g_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__insert__le,axiom, % 158.64/158.65 ! [V_x_2,V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__mono,axiom, % 158.64/158.65 ! [V_A_2,V_B_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__seteq,axiom, % 158.64/158.65 ! [V_A_2,V_B_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) % 158.64/158.65 => V_A_2 = V_B_2 ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom, % 158.64/158.65 ! [V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) % 158.64/158.65 => ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Finite__Set_Ocard(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 158.64/158.65 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__image__le,axiom, % 158.64/158.65 ! [V_f_2,T_b,V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__image,axiom, % 158.64/158.65 ! [V_A_2,V_f_2,T_b,T_a] : % 158.64/158.65 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.65 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_pigeonhole,axiom, % 158.64/158.65 ! [V_A_2,V_f_2,T_b,T_a] : % 158.64/158.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) % 158.64/158.65 => ~ c_Fun_Oinj__on(T_b,T_a,V_f_2,V_A_2) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_psubset__card__mono,axiom, % 158.64/158.65 ! [V_A_2,V_B_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod_Odistrib,axiom, % 158.64/158.65 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Otimes__class_Otimes(T_b)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_h_2),V_A_2)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__nonpos__nonpos,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Groups_Oordered__comm__monoid__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__increasing2,axiom, % 158.64/158.65 ! [V_a,V_b,V_c,T_a] : % 158.64/158.65 ( class_Groups_Oordered__comm__monoid__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__increasing,axiom, % 158.64/158.65 ! [V_c,V_b,V_a,T_a] : % 158.64/158.65 ( class_Groups_Oordered__comm__monoid__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__nonneg__eq__0__iff,axiom, % 158.64/158.65 ! [V_y_2,V_x_2,T_a] : % 158.64/158.65 ( class_Groups_Oordered__comm__monoid__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x_2)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y_2)) % 158.64/158.65 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.65 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.65 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__nonneg__nonneg,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Groups_Oordered__comm__monoid__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Olinordered__ab__group__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Olinordered__ab__group__add(T_a) % 158.64/158.65 => ( 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_2),V_a_2))) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_zero__le__square,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__ring(T_a) % 158.64/158.65 => 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))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_zero__le__mult__iff,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__ring__strict(T_a) % 158.64/158.65 => ( 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_2),V_b_2))) % 158.64/158.65 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) % 158.64/158.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) % 158.64/158.65 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__le__0__iff,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__ring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) % 158.64/158.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) % 158.64/158.65 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__nonneg__nonneg,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Oordered__cancel__semiring(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__nonneg__nonpos,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Oordered__cancel__semiring(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__nonneg__nonpos2,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Oordered__cancel__semiring(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__nonpos__nonneg,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Oordered__cancel__semiring(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__nonpos__nonpos,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Oordered__ring(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__right__mono,axiom, % 158.64/158.65 ! [V_c,V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Oordered__semiring(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__left__mono,axiom, % 158.64/158.65 ! [V_c,V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Oordered__semiring(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_comm__mult__left__mono,axiom, % 158.64/158.65 ! [V_c,V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Oordered__comm__semiring(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__right__mono__neg,axiom, % 158.64/158.65 ! [V_c,V_a,V_b,T_a] : % 158.64/158.65 ( class_Rings_Oordered__ring(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__left__mono__neg,axiom, % 158.64/158.65 ! [V_c,V_a,V_b,T_a] : % 158.64/158.65 ( class_Rings_Oordered__ring(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__mono_H,axiom, % 158.64/158.65 ! [V_d,V_c,V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Oordered__semiring(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => 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))) ) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__mono,axiom, % 158.64/158.65 ! [V_d,V_c,V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Oordered__semiring(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => 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))) ) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_split__mult__pos__le,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Oordered__ring(T_a) % 158.64/158.65 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) % 158.64/158.65 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 158.64/158.65 => 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))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_split__mult__neg__le,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Oordered__cancel__semiring(T_a) % 158.64/158.65 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) % 158.64/158.65 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) % 158.64/158.65 => 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))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__neg__neg,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Groups_Oordered__comm__monoid__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__pos__pos,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Groups_Oordered__comm__monoid__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Olinordered__ab__group__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Olinordered__ab__group__add(T_a) % 158.64/158.65 => ( 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_2),V_a_2))) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_pos__add__strict,axiom, % 158.64/158.65 ! [V_c,V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__strict__left__mono__neg,axiom, % 158.64/158.65 ! [V_c,V_a,V_b,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__ring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__strict__right__mono__neg,axiom, % 158.64/158.65 ! [V_c,V_a,V_b,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__ring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_comm__mult__strict__left__mono,axiom, % 158.64/158.65 ! [V_c,V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__strict__left__mono,axiom, % 158.64/158.65 ! [V_c,V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__strict__right__mono,axiom, % 158.64/158.65 ! [V_c,V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__neg__neg,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__ring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__neg__pos,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__less__cancel__left__neg,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__ring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2))) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_zero__less__mult__pos2,axiom, % 158.64/158.65 ! [V_a,V_b,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__strict(T_a) % 158.64/158.65 => ( 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))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_zero__less__mult__pos,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__strict(T_a) % 158.64/158.65 => ( 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))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__pos__neg2,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__pos__neg,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__pos__pos,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__less__cancel__left__pos,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__ring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2))) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__less__cancel__left__disj,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__ring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2))) % 158.64/158.65 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.64/158.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) % 158.64/158.65 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__less__cancel__right__disj,axiom, % 158.64/158.65 ! [V_b_2,V_ca_2,V_a_2,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__ring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2))) % 158.64/158.65 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.64/158.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) % 158.64/158.65 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_not__square__less__zero,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__ring(T_a) % 158.64/158.65 => ~ 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))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_le__iff__diff__le__0,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_less__iff__diff__less__0,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__scale__eq__noteq,axiom, % 158.64/158.65 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 158.64/158.65 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 158.64/158.65 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.65 => ( ( V_a = V_b % 158.64/158.65 & V_c != V_d ) % 158.64/158.65 => 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)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_zero__le__one,axiom, % 158.64/158.65 ! [T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.65 => 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))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_not__one__le__zero,axiom, % 158.64/158.65 ! [T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.65 => ~ 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))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_zero__less__one,axiom, % 158.64/158.65 ! [T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_not__one__less__zero,axiom, % 158.64/158.65 ! [T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.65 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_minus__le__self__iff,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Olinordered__ab__group__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_a_2)) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_neg__le__0__iff__le,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_le__minus__self__iff,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Olinordered__ab__group__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_neg__0__le__iff__le,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_less__minus__self__iff,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__idom(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_neg__less__nonneg,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Olinordered__ab__group__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_a_2)) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_neg__less__0__iff__less,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_neg__0__less__iff__less,axiom, % 158.64/158.65 ! [V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_minus__unique,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Groups_Ogroup__add(T_a) % 158.64/158.65 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.65 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_ab__left__minus,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Groups_Oab__group__add(T_a) % 158.64/158.65 => 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) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_left__minus,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Groups_Ogroup__add(T_a) % 158.64/158.65 => 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) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_eq__neg__iff__add__eq__0,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,T_a] : % 158.64/158.65 ( class_Groups_Ogroup__add(T_a) % 158.64/158.65 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) % 158.64/158.65 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_right__minus,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Groups_Ogroup__add(T_a) % 158.64/158.65 => 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) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_diff__0,axiom, % 158.64/158.65 ! [V_a,T_a] : % 158.64/158.65 ( class_Groups_Ogroup__add(T_a) % 158.64/158.65 => 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) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_insert__compr__raw,axiom, % 158.64/158.65 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ). % 158.64/158.65 % 158.64/158.65 fof(fact_insert__compr,axiom, % 158.64/158.65 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum__empty,axiom, % 158.64/158.65 ! [V_f_2,T_b,T_a] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_a) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum_Oempty,axiom, % 158.64/158.65 ! [V_g_2,T_b,T_a] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_a) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum__infinite,axiom, % 158.64/158.65 ! [V_f_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.65 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum_Oinfinite,axiom, % 158.64/158.65 ! [V_g_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.65 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_Un__def,axiom, % 158.64/158.65 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ). % 158.64/158.65 % 158.64/158.65 fof(fact_Int__Collect,axiom, % 158.64/158.65 ! [V_P_2,V_A_2,V_x_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_P_2)))) % 158.64/158.65 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.65 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_Int__def,axiom, % 158.64/158.65 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ). % 158.64/158.65 % 158.64/158.65 fof(fact_Collect__conv__if,axiom, % 158.64/158.65 ! [T_a,V_a_2,V_P_2] : % 158.64/158.65 ( ( hBOOL(hAPP(V_P_2,V_a_2)) % 158.64/158.65 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) % 158.64/158.65 & ( ~ hBOOL(hAPP(V_P_2,V_a_2)) % 158.64/158.65 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_Collect__conv__if2,axiom, % 158.64/158.65 ! [T_a,V_a_2,V_P_2] : % 158.64/158.65 ( ( hBOOL(hAPP(V_P_2,V_a_2)) % 158.64/158.65 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) % 158.64/158.65 & ( ~ hBOOL(hAPP(V_P_2,V_a_2)) % 158.64/158.65 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_singleton__conv,axiom, % 158.64/158.65 ! [V_a_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ). % 158.64/158.65 % 158.64/158.65 fof(fact_singleton__conv2,axiom, % 158.64/158.65 ! [V_a_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ). % 158.64/158.65 % 158.64/158.65 fof(fact_set__diff__eq,axiom, % 158.64/158.65 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2)))) ). % 158.64/158.65 % 158.64/158.65 fof(fact_finite__Collect__not,axiom, % 158.64/158.65 ! [V_P_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2))) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)))) % 158.64/158.65 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_insert__def,axiom, % 158.64/158.65 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ). % 158.64/158.65 % 158.64/158.65 fof(fact_Compl__eq,axiom, % 158.64/158.65 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))) ). % 158.64/158.65 % 158.64/158.65 fof(fact_vimage__def,axiom, % 158.64/158.65 ! [V_B_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(T_b)),V_f_2)),V_B_2)) ). % 158.64/158.65 % 158.64/158.65 fof(fact_Collect__imp__eq,axiom, % 158.64/158.65 ! [V_Q_2,V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2))),hAPP(c_Set_OCollect(T_a),V_Q_2)) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum__eq__0__iff,axiom, % 158.64/158.65 ! [V_f_2,V_F_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2)) % 158.64/158.65 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.65 <=> ! [B_x] : % 158.64/158.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_F_2)) % 158.64/158.65 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum__eq__1__iff,axiom, % 158.64/158.65 ! [V_f_2,V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 158.64/158.65 <=> ? [B_x] : % 158.64/158.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.64/158.65 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 158.64/158.65 & ! [B_xa] : % 158.64/158.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2)) % 158.64/158.65 => ( B_x != B_xa % 158.64/158.65 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_dom__def,axiom, % 158.64/158.65 ! [V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,V_m_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_Option_Ooption(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),T_a),c_fequal),V_m_2)),c_Option_Ooption_ONone(T_b)))) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod__reindex,axiom, % 158.64/158.65 ! [V_h_2,V_B_2,V_f_2,T_b,T_a,T_c] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_c) % 158.64/158.65 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_B_2) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod__reindex__cong,axiom, % 158.64/158.65 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_c) % 158.64/158.65 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.65 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) % 158.64/158.65 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card_Oinsert,axiom, % 158.64/158.65 ! [V_x_2,V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.65 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),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_a),V_A_2)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__Un__Int,axiom, % 158.64/158.65 ! [V_B_2,V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card_Ounion__inter,axiom, % 158.64/158.65 ! [V_B_2,V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_inj__on__iff__eq__card,axiom, % 158.64/158.65 ! [V_f_2,T_b,V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.65 <=> hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_eq__card__imp__inj__on,axiom, % 158.64/158.65 ! [V_f_2,T_b,V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) % 158.64/158.65 => c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_diff__card__le__card__Diff,axiom, % 158.64/158.65 ! [V_A_2,V_B_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => 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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod__delta_H,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.64/158.65 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 158.64/158.65 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod__delta,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.64/158.65 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 158.64/158.65 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__psubset,axiom, % 158.64/158.65 ! [V_A_2,V_B_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__nonpos__neg,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Groups_Oordered__comm__monoid__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__neg__nonpos,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Groups_Oordered__comm__monoid__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__strict__increasing2,axiom, % 158.64/158.65 ! [V_c,V_b,V_a,T_a] : % 158.64/158.65 ( class_Groups_Oordered__comm__monoid__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__strict__increasing,axiom, % 158.64/158.65 ! [V_c,V_b,V_a,T_a] : % 158.64/158.65 ( class_Groups_Oordered__comm__monoid__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__nonneg__pos,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Groups_Oordered__comm__monoid__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_add__pos__nonneg,axiom, % 158.64/158.65 ! [V_b,V_a,T_a] : % 158.64/158.65 ( class_Groups_Oordered__comm__monoid__add(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 158.64/158.65 => 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))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__le__cancel__left__pos,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__ring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2))) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__le__cancel__left__neg,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__ring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2))) % 158.64/158.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__strict__mono,axiom, % 158.64/158.65 ! [V_d,V_c,V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => 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))) ) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__strict__mono_H,axiom, % 158.64/158.65 ! [V_d,V_c,V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => 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))) ) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__less__le__imp__less,axiom, % 158.64/158.65 ! [V_d,V_c,V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => 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))) ) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__le__less__imp__less,axiom, % 158.64/158.65 ! [V_d,V_c,V_b,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__strict(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => 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))) ) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__right__less__imp__less,axiom, % 158.64/158.65 ! [V_b,V_c,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring(T_a) % 158.64/158.65 => ( 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))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__less__imp__less__right,axiom, % 158.64/158.65 ! [V_b,V_c,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__strict(T_a) % 158.64/158.65 => ( 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))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__left__less__imp__less,axiom, % 158.64/158.65 ! [V_b,V_a,V_c,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring(T_a) % 158.64/158.65 => ( 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))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__less__imp__less__left,axiom, % 158.64/158.65 ! [V_b,V_a,V_c,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__strict(T_a) % 158.64/158.65 => ( 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))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__right__le__imp__le,axiom, % 158.64/158.65 ! [V_b,V_c,V_a,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__strict(T_a) % 158.64/158.65 => ( 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))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__left__le__imp__le,axiom, % 158.64/158.65 ! [V_b,V_a,V_c,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__strict(T_a) % 158.64/158.65 => ( 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))) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__right__le__one__le,axiom, % 158.64/158.65 ! [V_y,V_x,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__idom(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 158.64/158.65 => 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)) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_mult__left__le__one__le,axiom, % 158.64/158.65 ! [V_y,V_x,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__idom(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 158.64/158.65 => 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)) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_zero__less__two,axiom, % 158.64/158.65 ! [T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.65 => 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)))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_if__image__distrib,axiom, % 158.64/158.65 ! [V_S_2,V_g_2,V_f_2,V_P_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),V_P_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_b),V_P_2)))),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2))))) ). % 158.64/158.65 % 158.64/158.65 fof(fact_dom__if,axiom, % 158.64/158.65 ! [V_g_2,V_f_2,V_P_2,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(hAPP(c_COMBS(T_a,tc_Option_Ooption(T_b),tc_Option_Ooption(T_b)),hAPP(hAPP(c_COMBS(T_a,tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_Option_Ooption(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_Option_Ooption(T_b))),T_a),c_If(tc_Option_Ooption(T_b))),V_P_2)),V_f_2)),V_g_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_f_2)),hAPP(c_Set_OCollect(T_a),V_P_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_g_2)),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)))) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod_Oinsert,axiom, % 158.64/158.65 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod__insert,axiom, % 158.64/158.65 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod__Un__Int,axiom, % 158.64/158.65 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod_Ounion__inter,axiom, % 158.64/158.65 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod_Oreindex,axiom, % 158.64/158.65 ! [V_g_2,V_h_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( c_Fun_Oinj__on(T_a,T_a,V_h_2,V_A_2) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum__delta_H,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.64/158.65 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 158.64/158.65 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum__delta,axiom, % 158.64/158.65 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.64/158.65 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 158.64/158.65 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod_OF__eq,axiom, % 158.64/158.65 ! [V_g_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2) ) % 158.64/158.65 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod_Oeq__fold,axiom, % 158.64/158.65 ! [V_g_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__Diff1__le,axiom, % 158.64/158.65 ! [V_x_2,V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card_Oinsert__remove,axiom, % 158.64/158.65 ! [V_x_2,V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),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_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__Un__disjoint,axiom, % 158.64/158.65 ! [V_B_2,V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.65 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__inj__on__le,axiom, % 158.64/158.65 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.65 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),V_B_2)) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 158.64/158.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__bij__eq,axiom, % 158.64/158.65 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a] : % 158.64/158.65 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),V_B_2)) % 158.64/158.65 => ( c_Fun_Oinj__on(T_b,T_a,V_g_2,V_B_2) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),V_B_2)),V_A_2)) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 158.64/158.65 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),V_B_2) ) ) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__Diff__subset,axiom, % 158.64/158.65 ! [V_A_2,V_B_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 158.64/158.65 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__Diff__subset__Int,axiom, % 158.64/158.65 ! [V_B_2,V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.65 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_convex__bound__le,axiom, % 158.64/158.65 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 158.64/158.65 ( class_Rings_Olinordered__semiring__1(T_a) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 158.64/158.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 158.64/158.65 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 158.64/158.65 => 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)) ) ) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod_Oinsert__remove,axiom, % 158.64/158.65 ! [V_x_2,V_g_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod_Ounion__disjoint,axiom, % 158.64/158.65 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setprod__Un__disjoint,axiom, % 158.64/158.65 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.65 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum_Oeq__fold,axiom, % 158.64/158.65 ! [V_g_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Oplus__class_Oplus(T_b)),V_g_2),c_Groups_Ozero__class_Ozero(T_b)),V_A_2) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_setsum_OF__eq,axiom, % 158.64/158.65 ! [V_g_2,V_A_2,T_a,T_b] : % 158.64/158.65 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.65 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Oplus__class_Oplus(T_b)),V_g_2),c_Groups_Ozero__class_Ozero(T_b)),V_A_2) ) % 158.64/158.65 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 158.64/158.65 % 158.64/158.65 fof(fact_card__Diff2__less,axiom, % 158.64/158.65 ! [V_y_2,V_x_2,V_A_2,T_a] : % 158.64/158.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_card__Diff1__less,axiom, % 158.64/158.66 ! [V_x_2,V_A_2,T_a] : % 158.64/158.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_card_Oremove,axiom, % 158.64/158.66 ! [V_x_2,V_A_2,T_a] : % 158.64/158.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.66 => hAPP(c_Finite__Set_Ocard(T_a),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_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_setsum__restrict__set,axiom, % 158.64/158.66 ! [V_B_2,V_f_2,V_A_2,T_a,T_b] : % 158.64/158.66 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_card__Diff__insert,axiom, % 158.64/158.66 ! [V_B_2,V_a_2,V_A_2,T_a] : % 158.64/158.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2)) % 158.64/158.66 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_setsum__image__gen,axiom, % 158.64/158.66 ! [V_f_2,T_c,V_g_2,V_S_2,T_a,T_b] : % 158.64/158.66 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.64/158.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),T_b,T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_OCollect(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))),hAPP(c_COMBC(T_a,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_a),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_a,T_c,V_f_2),V_S_2)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_setsum__restrict__set_H,axiom, % 158.64/158.66 ! [V_B_2,V_f_2,V_A_2,T_a,T_b] : % 158.64/158.66 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_inj__on__iff__card__le,axiom, % 158.64/158.66 ! [V_B_2,T_b,V_A_2,T_a] : % 158.64/158.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 158.64/158.66 => ( ? [B_f] : % 158.64/158.66 ( c_Fun_Oinj__on(T_a,T_b,B_f,V_A_2) % 158.64/158.66 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,B_f),V_A_2)),V_B_2)) ) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_setsum__setsum__restrict,axiom, % 158.64/158.66 ! [V_R_2,V_f_2,V_T_2,T_b,V_S_2,T_a,T_c] : % 158.64/158.66 ( class_Groups_Ocomm__monoid__add(T_c) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 158.64/158.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),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_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_a,T_c),tc_fun(tc_fun(T_a,tc_HOL_Obool),T_c),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c)),hAPP(c_COMBC(T_a,T_b,T_c),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_dom__override__on,axiom, % 158.64/158.66 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Fun_Ooverride__on(T_a,tc_Option_Ooption(T_b),V_f_2,V_g_2,V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_f_2)),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Map_Odom(T_a,T_b,V_g_2)))))),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Map_Odom(T_a,T_b,V_g_2))))) ). % 158.64/158.66 % 158.64/158.66 fof(fact_not__sum__squares__lt__zero,axiom, % 158.64/158.66 ! [V_y,V_x,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__ring(T_a) % 158.64/158.66 => ~ 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_sum__squares__gt__zero__iff,axiom, % 158.64/158.66 ! [V_y_2,V_x_2,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__ring__strict(T_a) % 158.64/158.66 => ( 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),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)))) % 158.64/158.66 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.66 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_sum__squares__le__zero__iff,axiom, % 158.64/158.66 ! [V_y_2,V_x_2,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__ring__strict(T_a) % 158.64/158.66 => ( 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_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.66 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.66 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_finite__Collect__less__nat,axiom, % 158.64/158.66 ! [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)))) ). % 158.64/158.66 % 158.64/158.66 fof(fact_finite__Collect__le__nat,axiom, % 158.64/158.66 ! [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)))) ). % 158.64/158.66 % 158.64/158.66 fof(fact_finite__M__bounded__by__nat,axiom, % 158.64/158.66 ! [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))))) ). % 158.64/158.66 % 158.64/158.66 fof(fact_finite__nat__set__iff__bounded,axiom, % 158.64/158.66 ! [V_N_2] : % 158.64/158.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 158.64/158.66 <=> ? [B_m] : % 158.64/158.66 ! [B_x] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_finite__nat__set__iff__bounded__le,axiom, % 158.64/158.66 ! [V_N_2] : % 158.64/158.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 158.64/158.66 <=> ? [B_m] : % 158.64/158.66 ! [B_x] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_override__on__apply__notin,axiom, % 158.64/158.66 ! [V_g_2,V_f_2,T_b,V_A_2,V_a_2,T_a] : % 158.64/158.66 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.66 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_override__on__apply__in,axiom, % 158.64/158.66 ! [V_g_2,V_f_2,T_b,V_A_2,V_a_2,T_a] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.66 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_override__on__emptyset,axiom, % 158.64/158.66 ! [V_g_2,V_f_2,T_b,T_a] : c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_f_2 ). % 158.64/158.66 % 158.64/158.66 fof(fact_override__on__def,axiom, % 158.64/158.66 ! [V_g_2,V_f_2,T_b,V_A_2,V_a_2,T_a] : % 158.64/158.66 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.66 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) % 158.64/158.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.64/158.66 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_sum__squares__eq__zero__iff,axiom, % 158.64/158.66 ! [V_y_2,V_x_2,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__ring__strict(T_a) % 158.64/158.66 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.66 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.66 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_mult__eq__if,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.66 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 158.64/158.66 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.66 => 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)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_sum__squares__ge__zero,axiom, % 158.64/158.66 ! [V_y,V_x,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__ring(T_a) % 158.64/158.66 => 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)))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le0,axiom, % 158.64/158.66 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__zeroE,axiom, % 158.64/158.66 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__less__add__iff1,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 158.64/158.66 => ( 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))) % 158.64/158.66 <=> 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)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__less__add__iff2,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 158.64/158.66 => ( 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))) % 158.64/158.66 <=> 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))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__diff__split__asm,axiom, % 158.64/158.66 ! [V_b_2,V_a_2,V_P_2] : % 158.64/158.66 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 158.64/158.66 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 158.64/158.66 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 158.64/158.66 | ? [B_d] : % 158.64/158.66 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 158.64/158.66 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__diff__split,axiom, % 158.64/158.66 ! [V_b_2,V_a_2,V_P_2] : % 158.64/158.66 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 158.64/158.66 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 158.64/158.66 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 158.64/158.66 & ! [B_d] : % 158.64/158.66 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 158.64/158.66 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_triple_Osize_I1_J,axiom, % 158.64/158.66 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_a] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_a,V_fa_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.64/158.66 % 158.64/158.66 fof(fact_infinite__UNIV__nat,axiom, % 158.64/158.66 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__mult__assoc,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__mult__commute,axiom, % 158.64/158.66 ! [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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_bot__nat__def,axiom, % 158.64/158.66 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.64/158.66 % 158.64/158.66 fof(fact_mult__0,axiom, % 158.64/158.66 ! [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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_mult__0__right,axiom, % 158.64/158.66 ! [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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_mult__is__0,axiom, % 158.64/158.66 ! [V_n_2,V_m_2] : % 158.64/158.66 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.66 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.66 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__mult__eq__cancel__disj,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_k_2] : % 158.64/158.66 ( 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) % 158.64/158.66 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.66 | V_m_2 = V_n_2 ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_mult__cancel1,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_k_2] : % 158.64/158.66 ( 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) % 158.64/158.66 <=> ( V_m_2 = V_n_2 % 158.64/158.66 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_mult__cancel2,axiom, % 158.64/158.66 ! [V_n_2,V_k_2,V_m_2] : % 158.64/158.66 ( 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) % 158.64/158.66 <=> ( V_m_2 = V_n_2 % 158.64/158.66 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__not__refl,axiom, % 158.64/158.66 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__neq__iff,axiom, % 158.64/158.66 ! [V_n_2,V_m_2] : % 158.64/158.66 ( V_m_2 != V_n_2 % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.66 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_linorder__neqE__nat,axiom, % 158.64/158.66 ! [V_y,V_x] : % 158.64/158.66 ( V_x != V_y % 158.64/158.66 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__irrefl__nat,axiom, % 158.64/158.66 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__not__refl2,axiom, % 158.64/158.66 ! [V_m,V_n] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 158.64/158.66 => V_m != V_n ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__not__refl3,axiom, % 158.64/158.66 ! [V_t,V_s] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t)) % 158.64/158.66 => V_s != V_t ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__less__cases,axiom, % 158.64/158.66 ! [V_P_2,V_n_2,V_m_2] : % 158.64/158.66 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.66 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) % 158.64/158.66 => ( ( V_m_2 = V_n_2 % 158.64/158.66 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) % 158.64/158.66 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 158.64/158.66 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) % 158.64/158.66 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__add__right__cancel,axiom, % 158.64/158.66 ! [V_n_2,V_k_2,V_m_2] : % 158.64/158.66 ( 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) % 158.64/158.66 <=> V_m_2 = V_n_2 ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__add__left__cancel,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_k_2] : % 158.64/158.66 ( 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) % 158.64/158.66 <=> V_m_2 = V_n_2 ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__add__assoc,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__add__left__commute,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__add__commute,axiom, % 158.64/158.66 ! [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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__mult__distrib2,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__mult__distrib,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_left__add__mult__distrib,axiom, % 158.64/158.66 ! [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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_mult__le__mono,axiom, % 158.64/158.66 ! [V_l,V_k,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 158.64/158.66 => 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))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_mult__le__mono2,axiom, % 158.64/158.66 ! [V_k,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_mult__le__mono1,axiom, % 158.64/158.66 ! [V_k,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__cube,axiom, % 158.64/158.66 ! [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)))) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__square,axiom, % 158.64/158.66 ! [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))) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__refl,axiom, % 158.64/158.66 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__le__linear,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_eq__imp__le,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( V_m = V_n % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__trans,axiom, % 158.64/158.66 ! [V_k,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__antisym,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 158.64/158.66 => V_m = V_n ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__mult__distrib,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__mult__distrib2,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__commute,axiom, % 158.64/158.66 ! [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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__mult__1,axiom, % 158.64/158.66 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__1__eq__mult__iff,axiom, % 158.64/158.66 ! [V_n_2,V_m_2] : % 158.64/158.66 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) % 158.64/158.66 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 158.64/158.66 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__mult__1__right,axiom, % 158.64/158.66 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__mult__eq__1__iff,axiom, % 158.64/158.66 ! [V_n_2,V_m_2] : % 158.64/158.66 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 158.64/158.66 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 158.64/158.66 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_inj__on__add__nat,axiom, % 158.64/158.66 ! [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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_gr0I,axiom, % 158.64/158.66 ! [V_n] : % 158.64/158.66 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_mult__less__mono2,axiom, % 158.64/158.66 ! [V_k,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 158.64/158.66 => 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))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_mult__less__mono1,axiom, % 158.64/158.66 ! [V_k,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 158.64/158.66 => 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))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_gr__implies__not0,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__mult__less__cancel1,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_k_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 158.64/158.66 => ( 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))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__mult__eq__cancel1,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_k_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 158.64/158.66 => ( 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) % 158.64/158.66 <=> V_m_2 = V_n_2 ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_mult__less__cancel2,axiom, % 158.64/158.66 ! [V_n_2,V_k_2,V_m_2] : % 158.64/158.66 ( 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))) % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 158.64/158.66 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_mult__less__cancel1,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_k_2] : % 158.64/158.66 ( 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))) % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 158.64/158.66 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__nat__zero__code,axiom, % 158.64/158.66 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__0__less__mult__iff,axiom, % 158.64/158.66 ! [V_n_2,V_m_2] : % 158.64/158.66 ( 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))) % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 158.64/158.66 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_neq0__conv,axiom, % 158.64/158.66 ! [V_n_2] : % 158.64/158.66 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_not__less0,axiom, % 158.64/158.66 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__eq__self__zero,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m % 158.64/158.66 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__is__0,axiom, % 158.64/158.66 ! [V_n_2,V_m_2] : % 158.64/158.66 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.66 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.66 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_Nat_Oadd__0__right,axiom, % 158.64/158.66 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 158.64/158.66 % 158.64/158.66 fof(fact_plus__nat_Oadd__0,axiom, % 158.64/158.66 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__0__eq,axiom, % 158.64/158.66 ! [V_n_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 158.64/158.66 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 158.64/158.66 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__lessD1,axiom, % 158.64/158.66 ! [V_k,V_j,V_i] : % 158.64/158.66 ( 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)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__add__eq__less,axiom, % 158.64/158.66 ! [V_n,V_m,V_l,V_k] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 158.64/158.66 => ( 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) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__less__mono,axiom, % 158.64/158.66 ! [V_l,V_k,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 158.64/158.66 => 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))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__less__mono1,axiom, % 158.64/158.66 ! [V_k,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_trans__less__add2,axiom, % 158.64/158.66 ! [V_m,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_trans__less__add1,axiom, % 158.64/158.66 ! [V_m,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__add__left__cancel__less,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_k_2] : % 158.64/158.66 ( 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))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_not__add__less2,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_not__add__less1,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__less__le,axiom, % 158.64/158.66 ! [V_n_2,V_m_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.66 & V_m_2 != V_n_2 ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__eq__less__or__eq,axiom, % 158.64/158.66 ! [V_n_2,V_m_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.66 | V_m_2 = V_n_2 ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__imp__le__nat,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__neq__implies__less,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 => ( V_m != V_n % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__or__eq__imp__le,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 | V_m = V_n ) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diffs0__imp__equal,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.66 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.66 => V_m = V_n ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__self__eq__0,axiom, % 158.64/158.66 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.64/158.66 % 158.64/158.66 fof(fact_minus__nat_Odiff__0,axiom, % 158.64/158.66 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__0__eq__0,axiom, % 158.64/158.66 ! [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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__leE,axiom, % 158.64/158.66 ! [V_n,V_k,V_m] : % 158.64/158.66 ( 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)) % 158.64/158.66 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__leD1,axiom, % 158.64/158.66 ! [V_n,V_k,V_m] : % 158.64/158.66 ( 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)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__leD2,axiom, % 158.64/158.66 ! [V_n,V_k,V_m] : % 158.64/158.66 ( 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)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__le__mono,axiom, % 158.64/158.66 ! [V_l,V_k,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 158.64/158.66 => 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))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__le__mono1,axiom, % 158.64/158.66 ! [V_k,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_trans__le__add2,axiom, % 158.64/158.66 ! [V_m,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_trans__le__add1,axiom, % 158.64/158.66 ! [V_m,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__add__left__cancel__le,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_k_2] : % 158.64/158.66 ( 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))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__iff__add,axiom, % 158.64/158.66 ! [V_n_2,V_m_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.66 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__add1,axiom, % 158.64/158.66 ! [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))) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__add2,axiom, % 158.64/158.66 ! [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))) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__imp__diff__less,axiom, % 158.64/158.66 ! [V_n,V_k,V_j] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 158.64/158.66 => 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)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__less__mono2,axiom, % 158.64/158.66 ! [V_l,V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l)) % 158.64/158.66 => 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))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__add__inverse2,axiom, % 158.64/158.66 ! [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 ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__add__inverse,axiom, % 158.64/158.66 ! [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 ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__diff__left,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__cancel,axiom, % 158.64/158.66 ! [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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__cancel2,axiom, % 158.64/158.66 ! [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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__le__self,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__le__mono2,axiom, % 158.64/158.66 ! [V_l,V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__le__mono,axiom, % 158.64/158.66 ! [V_l,V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__diff__cancel,axiom, % 158.64/158.66 ! [V_n,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n)) % 158.64/158.66 => 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 ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_eq__diff__iff,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_k_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 158.64/158.66 => ( 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) % 158.64/158.66 <=> V_m_2 = V_n_2 ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_Nat_Odiff__diff__eq,axiom, % 158.64/158.66 ! [V_n,V_m,V_k] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 158.64/158.66 => 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) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__diff__iff,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_k_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 158.64/158.66 => ( 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))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_mult__eq__self__implies__10,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 158.64/158.66 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 158.64/158.66 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__gr__0,axiom, % 158.64/158.66 ! [V_n_2,V_m_2] : % 158.64/158.66 ( 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))) % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 158.64/158.66 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__mult__le__cancel1,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_k_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 158.64/158.66 => ( 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))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_mult__le__cancel2,axiom, % 158.64/158.66 ! [V_n_2,V_k_2,V_m_2] : % 158.64/158.66 ( 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))) % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_mult__le__cancel1,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_k_2] : % 158.64/158.66 ( 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))) % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__less,axiom, % 158.64/158.66 ! [V_m,V_n] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 158.64/158.66 => 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)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zero__less__diff,axiom, % 158.64/158.66 ! [V_m_2,V_n_2] : % 158.64/158.66 ( 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))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__add__0,axiom, % 158.64/158.66 ! [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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__is__0__eq_H,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__is__0__eq,axiom, % 158.64/158.66 ! [V_n_2,V_m_2] : % 158.64/158.66 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__diff__conv,axiom, % 158.64/158.66 ! [V_k_2,V_j_2,V_i_2] : % 158.64/158.66 ( 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))) % 158.64/158.66 <=> 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)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__diff__inverse,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 => 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 ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__less__mono,axiom, % 158.64/158.66 ! [V_c,V_b,V_a] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a)) % 158.64/158.66 => 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))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__diff__iff,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_k_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 158.64/158.66 => ( 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))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__le__add__iff1,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 158.64/158.66 => ( 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))) % 158.64/158.66 <=> 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)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__diff__add__eq1,axiom, % 158.64/158.66 ! [V_n,V_m,V_u,V_i,V_j] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 158.64/158.66 => 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) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__eq__add__iff1,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 158.64/158.66 => ( 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) % 158.64/158.66 <=> 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 ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__le__add__iff2,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 158.64/158.66 => ( 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))) % 158.64/158.66 <=> 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))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__diff__add__eq2,axiom, % 158.64/158.66 ! [V_n,V_m,V_u,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 158.64/158.66 => 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)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__eq__add__iff2,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 158.64/158.66 => ( 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) % 158.64/158.66 <=> 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) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__diff__right,axiom, % 158.64/158.66 ! [V_i,V_j,V_k] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 158.64/158.66 => 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) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__diff__conv,axiom, % 158.64/158.66 ! [V_i_2,V_k_2,V_j_2] : % 158.64/158.66 ( 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)) % 158.64/158.66 <=> 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__add__diff,axiom, % 158.64/158.66 ! [V_m,V_n,V_k] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__add__diff__inverse,axiom, % 158.64/158.66 ! [V_m,V_n] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 158.64/158.66 => 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 ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__diff__assoc,axiom, % 158.64/158.66 ! [V_i,V_j,V_k] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 158.64/158.66 => 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) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__diff__conv2,axiom, % 158.64/158.66 ! [V_i_2,V_j_2,V_k_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2)) % 158.64/158.66 => ( 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))) % 158.64/158.66 <=> 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)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__add__diff__inverse2,axiom, % 158.64/158.66 ! [V_m,V_n] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 158.64/158.66 => 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 ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__imp__diff__is__add,axiom, % 158.64/158.66 ! [V_k_2,V_j_2,V_i_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 158.64/158.66 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2 % 158.64/158.66 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__add__assoc,axiom, % 158.64/158.66 ! [V_i,V_j,V_k] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 158.64/158.66 => 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)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__diff__assoc2,axiom, % 158.64/158.66 ! [V_i,V_j,V_k] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 158.64/158.66 => 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) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__add__assoc2,axiom, % 158.64/158.66 ! [V_i,V_j,V_k] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 158.64/158.66 => 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) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_even__less__0__iff,axiom, % 158.64/158.66 ! [V_a_2,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__idom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_triple_Osize_I2_J,axiom, % 158.64/158.66 ! [V_fun2_2,V_com_2,V_fun1_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.64/158.66 % 158.64/158.66 fof(fact_card_Ounion__inter__neutral,axiom, % 158.64/158.66 ! [V_B_2,V_A_2,T_a] : % 158.64/158.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.66 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.66 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 158.64/158.66 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_setsum__mono2,axiom, % 158.64/158.66 ! [V_f_2,V_A_2,V_B_2,T_a,T_b] : % 158.64/158.66 ( class_Groups_Oordered__comm__monoid__add(T_b) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.66 => ( ! [B_b] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_b))) ) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))) ) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_setsum__multicount,axiom, % 158.64/158.66 ! [V_k_2,V_R_2,V_T_2,T_b,V_S_2,T_a] : % 158.64/158.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 158.64/158.66 => ( ! [B_x] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_T_2)) % 158.64/158.66 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 ) % 158.64/158.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),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_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_b),V_T_2)) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_setprod__Un__one,axiom, % 158.64/158.66 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] : % 158.64/158.66 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2)) % 158.64/158.66 => ( ! [B_x] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))) % 158.64/158.66 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) ) % 158.64/158.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2)) ) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_setprod_Ounion__inter__neutral,axiom, % 158.64/158.66 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 158.64/158.66 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.66 => ( ! [B_x] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.66 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_b) ) % 158.64/158.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_double__eq__0__iff,axiom, % 158.64/158.66 ! [V_a_2,T_a] : % 158.64/158.66 ( class_Groups_Olinordered__ab__group__add(T_a) % 158.64/158.66 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.66 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_setsum__Un__zero,axiom, % 158.64/158.66 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] : % 158.64/158.66 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2)) % 158.64/158.66 => ( ! [B_x] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))) % 158.64/158.66 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) % 158.64/158.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2)) ) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_setsum_Ounion__inter__neutral,axiom, % 158.64/158.66 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] : % 158.64/158.66 ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.66 => ( ! [B_x] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.64/158.66 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) % 158.64/158.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_setsum__mono3,axiom, % 158.64/158.66 ! [V_f_2,V_A_2,V_B_2,T_a,T_b] : % 158.64/158.66 ( ( class_Groups_Ocomm__monoid__add(T_b) % 158.64/158.66 & class_Groups_Oordered__ab__semigroup__add(T_b) ) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.66 => ( ! [B_x] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) ) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))) ) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_setsum__reindex__nonzero,axiom, % 158.64/158.66 ! [T_b,V_h_2,V_f_2,V_S_2,T_a,T_c] : % 158.64/158.66 ( class_Groups_Ocomm__monoid__add(T_c) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.64/158.66 => ( ! [B_x] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2)) % 158.64/158.66 => ! [B_y] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_S_2)) % 158.64/158.66 => ( B_x != B_y % 158.64/158.66 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 158.64/158.66 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) % 158.64/158.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_S_2) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_ord_OgreaterThanAtMost__iff,axiom, % 158.64/158.66 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_a] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_a,V_less__eq_2,V_less_2,V_l_2,V_u_2))) % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 158.64/158.66 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_ord_OatLeastLessThan__iff,axiom, % 158.64/158.66 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_a] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_a,V_less__eq_2,V_less_2,V_l_2,V_u_2))) % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 158.64/158.66 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_ord_OatMost__iff,axiom, % 158.64/158.66 ! [V_k_2,V_less__eq_2,V_i_2,T_a] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatMost(T_a,V_less__eq_2,V_k_2))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_ord_OatLeast__iff,axiom, % 158.64/158.66 ! [V_k_2,V_less__eq_2,V_i_2,T_a] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeast(T_a,V_less__eq_2,V_k_2))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_ord_OlessThan__iff,axiom, % 158.64/158.66 ! [V_k_2,V_less_2,V_i_2,T_a] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OlessThan(T_a,V_less_2,V_k_2))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_ord_OgreaterThan__iff,axiom, % 158.64/158.66 ! [V_k_2,V_less_2,V_i_2,T_a] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThan(T_a,V_less_2,V_k_2))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_ord_OatLeastAtMost__iff,axiom, % 158.64/158.66 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_a] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_a,V_less__eq_2,V_l_2,V_u_2))) % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 158.64/158.66 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_ord_OgreaterThanLessThan__iff,axiom, % 158.64/158.66 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_a] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_a,V_less_2,V_l_2,V_u_2))) % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 158.64/158.66 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_setprod__gen__delta,axiom, % 158.64/158.66 ! [V_ca_2,V_b_2,V_a_2,V_S_2,T_a,T_b] : % 158.64/158.66 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.64/158.66 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 158.64/158.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 158.64/158.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2)) % 158.64/158.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ca_2),hAPP(c_Finite__Set_Ocard(T_a),V_S_2)) ) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_termination__basic__simps_I3_J,axiom, % 158.64/158.66 ! [V_z,V_y,V_x] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_termination__basic__simps_I4_J,axiom, % 158.64/158.66 ! [V_y,V_z,V_x] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_termination__basic__simps_I5_J,axiom, % 158.64/158.66 ! [V_y,V_x] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_termination__basic__simps_I1_J,axiom, % 158.64/158.66 ! [V_z,V_y,V_x] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_termination__basic__simps_I2_J,axiom, % 158.64/158.66 ! [V_y,V_z,V_x] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 158.64/158.66 ! [V_q,V_y,V_x,T_a] : % 158.64/158.66 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.66 => 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)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zpower__zadd__distrib,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 158.64/158.66 ! [V_q,V_p,V_x,T_a] : % 158.64/158.66 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.66 => 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)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zpower__zpower,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 158.64/158.66 ! [V_x,T_a] : % 158.64/158.66 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.66 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 158.64/158.66 ! [V_x,T_a] : % 158.64/158.66 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.66 => 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) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 158.64/158.66 ! [V_q,V_p,V_x,T_a] : % 158.64/158.66 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.66 => 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)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_setprod__constant,axiom, % 158.64/158.66 ! [V_y_2,V_A_2,T_a,T_b] : % 158.64/158.66 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(c_COMBK(T_b,T_a),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_comp__cong,axiom, % 158.64/158.66 ! [T_e,T_d,T_c,T_a,T_b,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] : % 158.64/158.66 ( 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)) % 158.64/158.66 => hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_d,T_a,T_e,V_f_H_2),V_g_H_2),V_x_H_2) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__eq__if,axiom, % 158.64/158.66 ! [V_p,V_m] : % 158.64/158.66 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.66 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 158.64/158.66 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.66 => 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)))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__strict__mono,axiom, % 158.64/158.66 ! [V_n,V_b,V_a,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 158.64/158.66 => 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))) ) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_one__less__power,axiom, % 158.64/158.66 ! [V_n,V_a,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 158.64/158.66 => 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))) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__le__imp__le__exp,axiom, % 158.64/158.66 ! [V_n,V_m,V_a,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 158.64/158.66 => ( 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))) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__increasing__iff,axiom, % 158.64/158.66 ! [V_y_2,V_x_2,V_b_2,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_b_2)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__decreasing,axiom, % 158.64/158.66 ! [V_a,V_N,V_n,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 158.64/158.66 => 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))) ) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__strict__decreasing,axiom, % 158.64/158.66 ! [V_a,V_N,V_n,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 158.64/158.66 => 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))) ) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zadd__zmult__distrib2,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zadd__zmult__distrib,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zmult__1,axiom, % 158.64/158.66 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 158.64/158.66 % 158.64/158.66 fof(fact_zmult__1__right,axiom, % 158.64/158.66 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 158.64/158.66 % 158.64/158.66 fof(fact_zmult__commute,axiom, % 158.64/158.66 ! [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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zmult__assoc,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zmult__zminus,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zdiff__zmult__distrib,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zdiff__zmult__distrib2,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_pos__zmult__eq__1__iff,axiom, % 158.64/158.66 ! [V_n_2,V_m_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2)) % 158.64/158.66 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 158.64/158.66 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 158.64/158.66 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zmult__zless__mono2,axiom, % 158.64/158.66 ! [V_k,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 158.64/158.66 => 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))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_field__power__not__zero,axiom, % 158.64/158.66 ! [V_n,V_a,T_a] : % 158.64/158.66 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 158.64/158.66 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.66 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__zero__less__power__iff,axiom, % 158.64/158.66 ! [V_n_2,V_x_2] : % 158.64/158.66 ( 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))) % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2)) % 158.64/158.66 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat__power__less__imp__less,axiom, % 158.64/158.66 ! [V_n,V_m,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)) % 158.64/158.66 => ( 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))) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__mult__distrib,axiom, % 158.64/158.66 ! [V_n,V_b,V_a,T_a] : % 158.64/158.66 ( class_Groups_Ocomm__monoid__mult(T_a) % 158.64/158.66 => 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)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__commutes,axiom, % 158.64/158.66 ! [V_n,V_a,T_a] : % 158.64/158.66 ( class_Groups_Omonoid__mult(T_a) % 158.64/158.66 => 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)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__one,axiom, % 158.64/158.66 ! [V_n,T_a] : % 158.64/158.66 ( class_Groups_Omonoid__mult(T_a) % 158.64/158.66 => 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) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__mult,axiom, % 158.64/158.66 ! [V_n,V_m,V_a,T_a] : % 158.64/158.66 ( class_Groups_Omonoid__mult(T_a) % 158.64/158.66 => 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) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__one__right,axiom, % 158.64/158.66 ! [V_a,T_a] : % 158.64/158.66 ( class_Groups_Omonoid__mult(T_a) % 158.64/158.66 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__mono,axiom, % 158.64/158.66 ! [V_n,V_b,V_a,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.66 => 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))) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zero__le__power,axiom, % 158.64/158.66 ! [V_n,V_a,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.66 => 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))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zero__less__power,axiom, % 158.64/158.66 ! [V_n,V_a,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.66 => 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))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__eq__0__iff,axiom, % 158.64/158.66 ! [V_n_2,V_a_2,T_a] : % 158.64/158.66 ( ( class_Power_Opower(T_a) % 158.64/158.66 & class_Rings_Omult__zero(T_a) % 158.64/158.66 & class_Rings_Ono__zero__divisors(T_a) % 158.64/158.66 & class_Rings_Ozero__neq__one(T_a) ) % 158.64/158.66 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.66 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.66 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_one__le__power,axiom, % 158.64/158.66 ! [V_n,V_a,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 158.64/158.66 => 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))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__inject__exp,axiom, % 158.64/158.66 ! [V_n_2,V_m_2,V_a_2,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a_2)) % 158.64/158.66 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2) % 158.64/158.66 <=> V_m_2 = V_n_2 ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__0,axiom, % 158.64/158.66 ! [V_a,T_a] : % 158.64/158.66 ( class_Power_Opower(T_a) % 158.64/158.66 => 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) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__add,axiom, % 158.64/158.66 ! [V_n,V_m,V_a,T_a] : % 158.64/158.66 ( class_Groups_Omonoid__mult(T_a) % 158.64/158.66 => 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)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__less__imp__less__base,axiom, % 158.64/158.66 ! [V_b,V_n,V_a,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( 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))) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__less__power__Suc,axiom, % 158.64/158.66 ! [V_n,V_a,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 158.64/158.66 => 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)))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__gt1__lemma,axiom, % 158.64/158.66 ! [V_n,V_a,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 158.64/158.66 => 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)))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__0__left,axiom, % 158.64/158.66 ! [V_n,T_a] : % 158.64/158.66 ( ( class_Power_Opower(T_a) % 158.64/158.66 & class_Rings_Osemiring__0(T_a) ) % 158.64/158.66 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.66 => 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) ) % 158.64/158.66 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.66 => 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) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__strict__increasing,axiom, % 158.64/158.66 ! [V_a,V_N,V_n,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 158.64/158.66 => 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))) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__less__imp__less__exp,axiom, % 158.64/158.66 ! [V_n,V_m,V_a,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 158.64/158.66 => ( 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))) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__strict__increasing__iff,axiom, % 158.64/158.66 ! [V_y_2,V_x_2,V_b_2,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_b_2)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__increasing,axiom, % 158.64/158.66 ! [V_a,V_N,V_n,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 158.64/158.66 => 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))) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__minus,axiom, % 158.64/158.66 ! [V_n,V_a,T_a] : % 158.64/158.66 ( class_Rings_Oring__1(T_a) % 158.64/158.66 => 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)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__Suc__less,axiom, % 158.64/158.66 ! [V_n,V_a,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 158.64/158.66 => 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))) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__eq__imp__eq__base,axiom, % 158.64/158.66 ! [V_b,V_n,V_a,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.66 => ( 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) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 158.64/158.66 => V_a = V_b ) ) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power__power__power,axiom, % 158.64/158.66 ! [T_a] : % 158.64/158.66 ( class_Power_Opower(T_a) % 158.64/158.66 => c_Power_Opower__class_Opower(T_a) = c_Power_Opower_Opower(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Otimes__class_Otimes(T_a)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_Ints__odd__less__0,axiom, % 158.64/158.66 ! [V_a_2,T_a] : % 158.64/158.66 ( class_Rings_Olinordered__idom(T_a) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a))) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),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)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_setsum__multicount__gen,axiom, % 158.64/158.66 ! [V_k_2,V_R_2,V_t_2,T_b,V_s_2,T_a] : % 158.64/158.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2)) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_t_2)) % 158.64/158.66 => ( ! [B_x] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_t_2)) % 158.64/158.66 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_s_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) ) % 158.64/158.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),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_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_finite__fun__UNIVD1,axiom, % 158.64/158.66 ! [T_b,T_a] : % 158.64/158.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool)))) % 158.64/158.66 => ( hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 158.64/158.66 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_card__Plus__conv__if,axiom, % 158.64/158.66 ! [V_B_2,T_b,V_A_2,T_a] : % 158.64/158.66 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.66 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) % 158.64/158.66 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) % 158.64/158.66 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.66 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) % 158.64/158.66 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_inf__Sup1__distrib,axiom, % 158.64/158.66 ! [V_x_2,V_A_2,T_a] : % 158.64/158.66 ( class_Lattices_Odistrib__lattice(T_a) % 158.64/158.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_Suc__mono,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_lessI,axiom, % 158.64/158.66 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zero__less__Suc,axiom, % 158.64/158.66 ! [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))) ). % 158.64/158.66 % 158.64/158.66 fof(fact_power_Opower_Opower__Suc,axiom, % 158.64/158.66 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,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_a,V_one_2,V_times_2),V_a_2),V_n_2)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zadd__assoc,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zadd__left__commute,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zadd__commute,axiom, % 158.64/158.66 ! [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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__int__def__symmetric,axiom, % 158.64/158.66 ! [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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_diff__int__def,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zminus__zadd__distrib,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zminus__zminus,axiom, % 158.64/158.66 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ). % 158.64/158.66 % 158.64/158.66 fof(fact_zless__linear,axiom, % 158.64/158.66 ! [V_y,V_x] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y)) % 158.64/158.66 | V_x = V_y % 158.64/158.66 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zless__le,axiom, % 158.64/158.66 ! [V_w_2,V_z_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2)) % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2)) % 158.64/158.66 & V_z_2 != V_w_2 ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_int__0__less__1,axiom, % 158.64/158.66 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))) ). % 158.64/158.66 % 158.64/158.66 fof(fact_int__one__le__iff__zero__less,axiom, % 158.64/158.66 ! [V_z_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_int__0__neq__1,axiom, % 158.64/158.66 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zminus__0,axiom, % 158.64/158.66 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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zadd__zminus__inverse2,axiom, % 158.64/158.66 ! [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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zadd__strict__right__mono,axiom, % 158.64/158.66 ! [V_k,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__bin__lemma,axiom, % 158.64/158.66 ! [V_l_2,V_k_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) % 158.64/158.66 <=> 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zadd__zless__mono,axiom, % 158.64/158.66 ! [V_z,V_z_H,V_w,V_w_H] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 158.64/158.66 => 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))) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zadd__0,axiom, % 158.64/158.66 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ). % 158.64/158.66 % 158.64/158.66 fof(fact_zadd__0__right,axiom, % 158.64/158.66 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 158.64/158.66 % 158.64/158.66 fof(fact_zadd__left__mono,axiom, % 158.64/158.66 ! [V_k,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_odd__nonzero,axiom, % 158.64/158.66 ! [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) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zless__imp__add1__zle,axiom, % 158.64/158.66 ! [V_z,V_w] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z)) % 158.64/158.66 => 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)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__imp__0__less,axiom, % 158.64/158.66 ! [V_z] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 158.64/158.66 => 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))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add1__zle__eq,axiom, % 158.64/158.66 ! [V_z_2,V_w_2] : % 158.64/158.66 ( 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)) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zle__diff1__eq,axiom, % 158.64/158.66 ! [V_z_2,V_w_2] : % 158.64/158.66 ( 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)))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zle__add1__eq__le,axiom, % 158.64/158.66 ! [V_z_2,V_w_2] : % 158.64/158.66 ( 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)))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_odd__less__0,axiom, % 158.64/158.66 ! [V_z_2] : % 158.64/158.66 ( 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))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_zless__add1__eq,axiom, % 158.64/158.66 ! [V_z_2,V_w_2] : % 158.64/158.66 ( 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)))) % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 158.64/158.66 | V_w_2 = V_z_2 ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_Suc__inject,axiom, % 158.64/158.66 ! [V_y,V_x] : % 158.64/158.66 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y) % 158.64/158.66 => V_x = V_y ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat_Oinject,axiom, % 158.64/158.66 ! [V_nat_H_2,V_nat_2] : % 158.64/158.66 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2) % 158.64/158.66 <=> V_nat_2 = V_nat_H_2 ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_Suc__n__not__n,axiom, % 158.64/158.66 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ). % 158.64/158.66 % 158.64/158.66 fof(fact_n__not__Suc__n,axiom, % 158.64/158.66 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ). % 158.64/158.66 % 158.64/158.66 fof(fact_Zero__not__Suc,axiom, % 158.64/158.66 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat_Osimps_I2_J,axiom, % 158.64/158.66 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ). % 158.64/158.66 % 158.64/158.66 fof(fact_Suc__not__Zero,axiom, % 158.64/158.66 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.64/158.66 % 158.64/158.66 fof(fact_nat_Osimps_I3_J,axiom, % 158.64/158.66 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.64/158.66 % 158.64/158.66 fof(fact_Zero__neq__Suc,axiom, % 158.64/158.66 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 158.64/158.66 % 158.64/158.66 fof(fact_Suc__neq__Zero,axiom, % 158.64/158.66 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.64/158.66 % 158.64/158.66 fof(fact_Suc__less__SucD,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_Suc__lessD,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__SucE,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 158.64/158.66 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 => V_m = V_n ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__trans__Suc,axiom, % 158.64/158.66 ! [V_k,V_j,V_i] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_Suc__lessI,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 => ( hAPP(c_Nat_OSuc,V_m) != V_n % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__SucI,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__antisym,axiom, % 158.64/158.66 ! [V_m,V_n] : % 158.64/158.66 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m))) % 158.64/158.66 => V_m = V_n ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_not__less__less__Suc__eq,axiom, % 158.64/158.66 ! [V_m_2,V_n_2] : % 158.64/158.66 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 158.64/158.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 158.64/158.66 <=> V_n_2 = V_m_2 ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_Suc__less__eq,axiom, % 158.64/158.66 ! [V_n_2,V_m_2] : % 158.64/158.66 ( 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))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_less__Suc__eq,axiom, % 158.64/158.66 ! [V_n_2,V_m_2] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 158.64/158.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.66 | V_m_2 = V_n_2 ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_not__less__eq,axiom, % 158.64/158.66 ! [V_n_2,V_m_2] : % 158.64/158.66 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__Suc__right,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__Suc,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_add__Suc__shift,axiom, % 158.64/158.66 ! [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)) ). % 158.64/158.66 % 158.64/158.66 fof(fact_Suc__leD,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__SucE,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 158.64/158.66 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_le__SucI,axiom, % 158.64/158.66 ! [V_n,V_m] : % 158.64/158.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 158.64/158.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 158.64/158.66 % 158.64/158.66 fof(fact_Suc__le__mono,axiom, % 158.64/158.66 ! [V_m_2,V_n_2] : % 158.64/158.66 ( 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))) % 158.64/158.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 158.64/158.66 % 158.64/158.67 fof(fact_le__Suc__eq,axiom, % 158.64/158.67 ! [V_n_2,V_m_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 158.64/158.67 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.67 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_not__less__eq__eq,axiom, % 158.64/158.67 ! [V_n_2,V_m_2] : % 158.64/158.67 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Suc__n__not__le__n,axiom, % 158.64/158.67 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Suc__diff__diff,axiom, % 158.64/158.67 ! [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) ). % 158.64/158.67 % 158.64/158.67 fof(fact_diff__Suc__Suc,axiom, % 158.64/158.67 ! [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) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Suc__mult__cancel1,axiom, % 158.64/158.67 ! [V_n_2,V_m_2,V_k_2] : % 158.64/158.67 ( 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) % 158.64/158.67 <=> V_m_2 = V_n_2 ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Plus__eq__empty__conv,axiom, % 158.64/158.67 ! [V_B_2,V_A_2,T_b,T_a] : % 158.64/158.67 ( c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool)) % 158.64/158.67 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.67 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_inj__Suc,axiom, % 158.64/158.67 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ). % 158.64/158.67 % 158.64/158.67 fof(fact_power__0__Suc,axiom, % 158.64/158.67 ! [V_n,T_a] : % 158.64/158.67 ( ( class_Power_Opower(T_a) % 158.64/158.67 & class_Rings_Osemiring__0(T_a) ) % 158.64/158.67 => 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) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_less__Suc__eq__0__disj,axiom, % 158.64/158.67 ! [V_n_2,V_m_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 158.64/158.67 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.67 | ? [B_j] : % 158.64/158.67 ( V_m_2 = hAPP(c_Nat_OSuc,B_j) % 158.64/158.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_less__Suc0,axiom, % 158.64/158.67 ! [V_n_2] : % 158.64/158.67 ( 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)))) % 158.64/158.67 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_gr0__conv__Suc,axiom, % 158.64/158.67 ! [V_n_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 158.64/158.67 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 158.64/158.67 ! [V_q,V_x,T_a] : % 158.64/158.67 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.67 => 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)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 158.64/158.67 ! [V_q,V_x,T_a] : % 158.64/158.67 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.67 => 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)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 158.64/158.67 ! [V_q,V_x,T_a] : % 158.64/158.67 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.67 => 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)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_power__Suc,axiom, % 158.64/158.67 ! [V_n,V_a,T_a] : % 158.64/158.67 ( class_Power_Opower(T_a) % 158.64/158.67 => 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)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_power__Suc2,axiom, % 158.64/158.67 ! [V_n,V_a,T_a] : % 158.64/158.67 ( class_Groups_Omonoid__mult(T_a) % 158.64/158.67 => 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) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_one__is__add,axiom, % 158.64/158.67 ! [V_n_2,V_m_2] : % 158.64/158.67 ( 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) % 158.64/158.67 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 158.64/158.67 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 158.64/158.67 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.67 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_add__is__1,axiom, % 158.64/158.67 ! [V_n_2,V_m_2] : % 158.64/158.67 ( 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)) % 158.64/158.67 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 158.64/158.67 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 158.64/158.67 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.67 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_less__add__Suc1,axiom, % 158.64/158.67 ! [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)))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_less__add__Suc2,axiom, % 158.64/158.67 ! [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)))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_less__iff__Suc__add,axiom, % 158.64/158.67 ! [V_n_2,V_m_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.67 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_less__eq__Suc__le,axiom, % 158.64/158.67 ! [V_m_2,V_n_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_less__Suc__eq__le,axiom, % 158.64/158.67 ! [V_n_2,V_m_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Suc__le__eq,axiom, % 158.64/158.67 ! [V_n_2,V_m_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_le__imp__less__Suc,axiom, % 158.64/158.67 ! [V_n,V_m] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Suc__leI,axiom, % 158.64/158.67 ! [V_n,V_m] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_le__less__Suc__eq,axiom, % 158.64/158.67 ! [V_n_2,V_m_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 158.64/158.67 <=> V_n_2 = V_m_2 ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Suc__le__lessD,axiom, % 158.64/158.67 ! [V_n,V_m] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_mult__eq__1__iff,axiom, % 158.64/158.67 ! [V_n_2,V_m_2] : % 158.64/158.67 ( 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)) % 158.64/158.67 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 158.64/158.67 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_diff__less__Suc,axiom, % 158.64/158.67 ! [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))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Suc__mult__less__cancel1,axiom, % 158.64/158.67 ! [V_n_2,V_m_2,V_k_2] : % 158.64/158.67 ( 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))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_mult__Suc,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_mult__Suc__right,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Suc__diff__le,axiom, % 158.64/158.67 ! [V_m,V_n] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 158.64/158.67 => 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)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Suc__mult__le__cancel1,axiom, % 158.64/158.67 ! [V_n_2,V_m_2,V_k_2] : % 158.64/158.67 ( 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))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_One__nat__def,axiom, % 158.64/158.67 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Suc__eq__plus1__left,axiom, % 158.64/158.67 ! [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) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Suc__eq__plus1,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_diff__Suc__1,axiom, % 158.64/158.67 ! [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 ). % 158.64/158.67 % 158.64/158.67 fof(fact_diff__Suc__eq__diff__pred,axiom, % 158.64/158.67 ! [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) ). % 158.64/158.67 % 158.64/158.67 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 158.64/158.67 ! [V_m_2,V_x_2] : % 158.64/158.67 ( 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)) % 158.64/158.67 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.67 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_power__Suc__0,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_less__eq__Suc__le__raw,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_finite__image__set,axiom, % 158.64/158.67 ! [V_f_2,T_b,V_P_2,T_a] : % 158.64/158.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2))) % 158.64/158.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,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_a),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_a)),c_fequal)),V_f_2)))),V_P_2))))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_finite__Collect__bounded__ex,axiom, % 158.64/158.67 ! [V_Q_2,T_b,V_P_2,T_a] : % 158.64/158.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2))) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2))),V_Q_2))))) % 158.64/158.67 <=> ! [B_y] : % 158.64/158.67 ( hBOOL(hAPP(V_P_2,B_y)) % 158.64/158.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),V_Q_2),B_y)))) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Ints__0,axiom, % 158.64/158.67 ! [T_a] : % 158.64/158.67 ( class_Rings_Oring__1(T_a) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Int_Oring__1__class_OInts(T_a))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Ints__add,axiom, % 158.64/158.67 ! [V_b_2,V_a_2,T_a] : % 158.64/158.67 ( class_Rings_Oring__1(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a))) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a))) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Ints__mult,axiom, % 158.64/158.67 ! [V_b_2,V_a_2,T_a] : % 158.64/158.67 ( class_Rings_Oring__1(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a))) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a))) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Ints__diff,axiom, % 158.64/158.67 ! [V_b_2,V_a_2,T_a] : % 158.64/158.67 ( class_Rings_Oring__1(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a))) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a))) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Ints__1,axiom, % 158.64/158.67 ! [T_a] : % 158.64/158.67 ( class_Rings_Oring__1(T_a) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Oone__class_Oone(T_a)),c_Int_Oring__1__class_OInts(T_a))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Ints__minus,axiom, % 158.64/158.67 ! [V_a_2,T_a] : % 158.64/158.67 ( class_Rings_Oring__1(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a))) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_power__le__imp__le__base,axiom, % 158.64/158.67 ! [V_b,V_n,V_a,T_a] : % 158.64/158.67 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.67 => ( 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)))) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_power__inject__base,axiom, % 158.64/158.67 ! [V_b,V_n,V_a,T_a] : % 158.64/158.67 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.67 => ( 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)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 158.64/158.67 => V_a = V_b ) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Ints__power,axiom, % 158.64/158.67 ! [V_n_2,V_a_2,T_a] : % 158.64/158.67 ( class_Rings_Oring__1(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a))) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_power__gt1,axiom, % 158.64/158.67 ! [V_n,V_a,T_a] : % 158.64/158.67 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 158.64/158.67 => 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)))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Suc__pred,axiom, % 158.64/158.67 ! [V_n] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 158.64/158.67 => 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 ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_diff__Suc__less,axiom, % 158.64/158.67 ! [V_i,V_n] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 158.64/158.67 => 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)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_one__less__mult,axiom, % 158.64/158.67 ! [V_m,V_n] : % 158.64/158.67 ( 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)) % 158.64/158.67 => ( 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)) % 158.64/158.67 => 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))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_n__less__n__mult__m,axiom, % 158.64/158.67 ! [V_m,V_n] : % 158.64/158.67 ( 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)) % 158.64/158.67 => ( 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)) % 158.64/158.67 => 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))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_n__less__m__mult__n,axiom, % 158.64/158.67 ! [V_m,V_n] : % 158.64/158.67 ( 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)) % 158.64/158.67 => ( 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)) % 158.64/158.67 => 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))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_one__le__mult__iff,axiom, % 158.64/158.67 ! [V_n_2,V_m_2] : % 158.64/158.67 ( 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))) % 158.64/158.67 <=> ( 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)) % 158.64/158.67 & 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)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_power_Opower_Opower__0,axiom, % 158.64/158.67 ! [V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ). % 158.64/158.67 % 158.64/158.67 fof(fact_diff__Suc__diff__eq2,axiom, % 158.64/158.67 ! [V_m,V_j,V_k] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 158.64/158.67 => 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)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_diff__Suc__diff__eq1,axiom, % 158.64/158.67 ! [V_m,V_j,V_k] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 158.64/158.67 => 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)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_setsum__eq__Suc0__iff,axiom, % 158.64/158.67 ! [V_f_2,V_A_2,T_a] : % 158.64/158.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.67 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 158.64/158.67 <=> ? [B_x] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.64/158.67 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 158.64/158.67 & ! [B_xa] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2)) % 158.64/158.67 => ( B_x != B_xa % 158.64/158.67 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_nat__one__le__power,axiom, % 158.64/158.67 ! [V_n,V_i] : % 158.64/158.67 ( 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)) % 158.64/158.67 => 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))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_card__less__Suc,axiom, % 158.64/158.67 ! [V_i_2,V_M_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 158.64/158.67 => 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))))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_card__less,axiom, % 158.64/158.67 ! [V_i_2,V_M_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 158.64/158.67 => 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) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_card__less__Suc2,axiom, % 158.64/158.67 ! [V_i_2,V_M_2] : % 158.64/158.67 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 158.64/158.67 => 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))))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_power__Suc__less__one,axiom, % 158.64/158.67 ! [V_n,V_a,T_a] : % 158.64/158.67 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 158.64/158.67 => 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))) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_card__insert__disjoint,axiom, % 158.64/158.67 ! [V_x_2,V_A_2,T_a] : % 158.64/158.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.67 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_card__insert__if,axiom, % 158.64/158.67 ! [V_x_2,V_A_2,T_a] : % 158.64/158.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.67 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.67 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) % 158.64/158.67 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.67 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_ran__def,axiom, % 158.64/158.67 ! [V_m_2,T_a,T_b] : c_Map_Oran(T_b,T_a,V_m_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_Option_Ooption(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool),T_b),c_fequal),V_m_2))),c_Option_Ooption_OSome(T_a)))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Suc__diff__1,axiom, % 158.64/158.67 ! [V_n] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 158.64/158.67 => 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 ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Suc__pred_H,axiom, % 158.64/158.67 ! [V_n] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 158.64/158.67 => 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))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_add__eq__if,axiom, % 158.64/158.67 ! [V_n,V_m] : % 158.64/158.67 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.67 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n ) % 158.64/158.67 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.67 => 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)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Ints__double__eq__0__iff,axiom, % 158.64/158.67 ! [V_a_2,T_a] : % 158.64/158.67 ( class_Int_Oring__char__0(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a))) % 158.64/158.67 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.67 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_finite__Plus__iff,axiom, % 158.64/158.67 ! [V_B_2,V_A_2,T_b,T_a] : % 158.64/158.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2))) % 158.64/158.67 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.67 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_finite__Plus,axiom, % 158.64/158.67 ! [V_B_2,T_b,V_A_2,T_a] : % 158.64/158.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 158.64/158.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_finite__PlusD_I1_J,axiom, % 158.64/158.67 ! [V_B_2,V_A_2,T_b,T_a] : % 158.64/158.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2))) % 158.64/158.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_finite__PlusD_I2_J,axiom, % 158.64/158.67 ! [V_B_2,V_A_2,T_b,T_a] : % 158.64/158.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2))) % 158.64/158.67 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_UNIV__Plus__UNIV,axiom, % 158.64/158.67 ! [T_b,T_a] : c_Sum__Type_OPlus(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_card__insert,axiom, % 158.64/158.67 ! [V_x_2,V_A_2,T_a] : % 158.64/158.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.67 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_card__Plus,axiom, % 158.64/158.67 ! [V_B_2,T_b,V_A_2,T_a] : % 158.64/158.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 158.64/158.67 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Ints__odd__nonzero,axiom, % 158.64/158.67 ! [V_a_2,T_a] : % 158.64/158.67 ( class_Int_Oring__char__0(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a))) % 158.64/158.67 => 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)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_card__Suc__Diff1,axiom, % 158.64/158.67 ! [V_x_2,V_A_2,T_a] : % 158.64/158.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.67 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_sup__Inf2__distrib,axiom, % 158.64/158.67 ! [V_B_2,V_A_2,T_a] : % 158.64/158.67 ( class_Lattices_Odistrib__lattice(T_a) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.67 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_sup__Inf1__distrib,axiom, % 158.64/158.67 ! [V_x_2,V_A_2,T_a] : % 158.64/158.67 ( class_Lattices_Odistrib__lattice(T_a) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_inf__Sup2__distrib,axiom, % 158.64/158.67 ! [V_B_2,V_A_2,T_a] : % 158.64/158.67 ( class_Lattices_Odistrib__lattice(T_a) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.64/158.67 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_self__quotient__aux1,axiom, % 158.64/158.67 ! [V_q,V_r,V_a] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 158.64/158.67 => ( 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)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_self__quotient__aux2,axiom, % 158.64/158.67 ! [V_q,V_r,V_a] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 158.64/158.67 => ( 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)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_q__pos__lemma,axiom, % 158.64/158.67 ! [V_r_H,V_q_H,V_b_H] : % 158.64/158.67 ( 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))) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_q__neg__lemma,axiom, % 158.64/158.67 ! [V_r_H,V_q_H,V_b_H] : % 158.64/158.67 ( 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))) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_unique__quotient__lemma,axiom, % 158.64/158.67 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 158.64/158.67 ( 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))) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zdiv__mono2__lemma,axiom, % 158.64/158.67 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 158.64/158.67 ( 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) % 158.64/158.67 => ( 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))) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zle__antisym,axiom, % 158.64/158.67 ! [V_w,V_z] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) % 158.64/158.67 => V_z = V_w ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zle__trans,axiom, % 158.64/158.67 ! [V_k,V_j,V_i] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zle__linear,axiom, % 158.64/158.67 ! [V_w,V_z] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 158.64/158.67 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zle__refl,axiom, % 158.64/158.67 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zdiv__mono2__neg__lemma,axiom, % 158.64/158.67 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 158.64/158.67 ( 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) % 158.64/158.67 => ( 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))) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_unique__quotient__lemma__neg,axiom, % 158.64/158.67 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 158.64/158.67 ( 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))) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 158.64/158.67 ! [V_n,V_x] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 158.64/158.67 => 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))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 158.64/158.67 ! [V_y,V_x] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 158.64/158.67 => 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))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 158.64/158.67 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))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 158.64/158.67 ! [V_y,V_x] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 158.64/158.67 => 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))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Body__triple__valid__Suc,axiom, % 158.64/158.67 ! [V_Q_2,V_pn_2,V_P_2,V_n_2,T_a] : % 158.64/158.67 ( c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2)) % 158.64/158.67 <=> c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_arith__series__nat,axiom, % 158.64/158.67 ! [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)))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_finite__lessThan,axiom, % 158.64/158.67 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_lessThan__eq__iff,axiom, % 158.64/158.67 ! [V_y_2,V_x_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_y_2) % 158.64/158.67 <=> V_x_2 = V_y_2 ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_lessThan__0,axiom, % 158.64/158.67 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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_lessThan__Suc,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_card__lessThan,axiom, % 158.64/158.67 ! [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 ). % 158.64/158.67 % 158.64/158.67 fof(fact_triple__valid__Suc,axiom, % 158.64/158.67 ! [V_t,V_n,T_a] : % 158.64/158.67 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t) % 158.64/158.67 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_lessThan__Suc__eq__insert__0,axiom, % 158.64/158.67 ! [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))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_setsum__lessThan__Suc,axiom, % 158.64/158.67 ! [V_n_2,V_f_2,T_a] : % 158.64/158.67 ( class_Groups_Ocomm__monoid__add(T_a) % 158.64/158.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_lessThan__iff,axiom, % 158.64/158.67 ! [V_k_2,V_i_2,T_a] : % 158.64/158.67 ( class_Orderings_Oord(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_i_2),V_k_2)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_lessThan__subset__iff,axiom, % 158.64/158.67 ! [V_y_2,V_x_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_y_2))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_lessThan__strict__subset__iff,axiom, % 158.64/158.67 ! [V_n_2,V_m_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_n_2))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_n_2)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_single__Diff__lessThan,axiom, % 158.64/158.67 ! [V_k_2,T_a] : % 158.64/158.67 ( class_Orderings_Oorder(T_a) % 158.64/158.67 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Body__triple__valid__0,axiom, % 158.64/158.67 ! [V_Q_2,V_pn_2,V_P_2,T_a] : c_Hoare__Mirabelle_Otriple__valid(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 158.64/158.67 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))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_arith__series__general,axiom, % 158.64/158.67 ! [V_n_2,V_d_2,V_a_2,T_a] : % 158.64/158.67 ( class_Rings_Ocomm__semiring__1(T_a) % 158.64/158.67 => 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(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_a)),c_Nat_Osemiring__1__class_Oof__nat(T_a))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_small_H_Osimps,axiom, % 158.64/158.67 ! [V_f_2,V_i_2,V_d_2] : % 158.64/158.67 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 158.64/158.67 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) ) % 158.64/158.67 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 158.64/158.67 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),tc_List_Olist(tc_Code__Evaluation_Oterm),c_Smallcheck_Osmall_H(V_f_2,V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(V_f_2,V_i_2)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_card__Suc__eq,axiom, % 158.64/158.67 ! [V_k_2,V_A_2,T_a] : % 158.64/158.67 ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Nat_OSuc,V_k_2) % 158.64/158.67 <=> ? [B_b,B_B] : % 158.64/158.67 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_a),B_b),B_B) % 158.64/158.67 & ~ hBOOL(hAPP(hAPP(c_member(T_a),B_b),B_B)) % 158.64/158.67 & hAPP(c_Finite__Set_Ocard(T_a),B_B) = V_k_2 % 158.64/158.67 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.67 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_add__Min__commute,axiom, % 158.64/158.67 ! [V_k_2,V_N_2,T_a] : % 158.64/158.67 ( class_Groups_Olinordered__ab__semigroup__add(T_a) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 158.64/158.67 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.67 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_N_2))))) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_add__Max__commute,axiom, % 158.64/158.67 ! [V_k_2,V_N_2,T_a] : % 158.64/158.67 ( class_Groups_Olinordered__ab__semigroup__add(T_a) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 158.64/158.67 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.67 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_N_2))))) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_tsub__def,axiom, % 158.64/158.67 ! [V_x,V_y] : % 158.64/158.67 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 158.64/158.67 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) % 158.64/158.67 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 158.64/158.67 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_negative__zle,axiom, % 158.64/158.67 ! [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))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_negative__zless,axiom, % 158.64/158.67 ! [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))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom, % 158.64/158.67 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))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__eq__iff,axiom, % 158.64/158.67 ! [V_n_2,V_m_2,T_a] : % 158.64/158.67 ( class_Nat_Osemiring__char__0(T_a) % 158.64/158.67 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2) % 158.64/158.67 <=> V_m_2 = V_n_2 ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_inj__int,axiom, % 158.64/158.67 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))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_transfer__nat__int__set__relations_I2_J,axiom, % 158.64/158.67 ! [V_A_2,V_x_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2)) % 158.64/158.67 <=> 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))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_transfer__nat__int__set__relations_I1_J,axiom, % 158.64/158.67 ! [V_A_2] : % 158.64/158.67 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2)) % 158.64/158.67 <=> 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))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_int__setsum,axiom, % 158.64/158.67 ! [V_A_2,V_f_2,T_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ). % 158.64/158.67 % 158.64/158.67 fof(fact_int__setprod,axiom, % 158.64/158.67 ! [V_A_2,V_f_2,T_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ). % 158.64/158.67 % 158.64/158.67 fof(fact_int__eq__0__conv,axiom, % 158.64/158.67 ! [V_n_2] : % 158.64/158.67 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.64/158.67 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_int__0,axiom, % 158.64/158.67 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) ). % 158.64/158.67 % 158.64/158.67 fof(fact_transfer__int__nat__numerals_I1_J,axiom, % 158.64/158.67 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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zero__zle__int,axiom, % 158.64/158.67 ! [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))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 158.64/158.67 ! [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))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom, % 158.64/158.67 ! [V_P_2] : % 158.64/158.67 ( ? [B_x] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 158.64/158.67 & hBOOL(hAPP(V_P_2,B_x)) ) % 158.64/158.67 <=> ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom, % 158.64/158.67 ! [V_P_2] : % 158.64/158.67 ( ! [B_x] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 158.64/158.67 => hBOOL(hAPP(V_P_2,B_x)) ) % 158.64/158.67 <=> ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_int__less__0__conv,axiom, % 158.64/158.67 ! [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))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zless__int,axiom, % 158.64/158.67 ! [V_n_2,V_m_2] : % 158.64/158.67 ( 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))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_transfer__int__nat__relations_I2_J,axiom, % 158.64/158.67 ! [V_y_2,V_x_2] : % 158.64/158.67 ( 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))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zle__int,axiom, % 158.64/158.67 ! [V_n_2,V_m_2] : % 158.64/158.67 ( 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))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_transfer__int__nat__relations_I3_J,axiom, % 158.64/158.67 ! [V_y_2,V_x_2] : % 158.64/158.67 ( 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))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zadd__int__left,axiom, % 158.64/158.67 ! [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) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zadd__int,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zle__iff__zadd,axiom, % 158.64/158.67 ! [V_z_2,V_w_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) % 158.64/158.67 <=> ? [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)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__0__le__iff,axiom, % 158.64/158.67 ! [V_n,T_a] : % 158.64/158.67 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.67 => 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))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zero__le__imp__of__nat,axiom, % 158.64/158.67 ! [V_m,T_a] : % 158.64/158.67 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.67 => 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))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_negative__eq__positive,axiom, % 158.64/158.67 ! [V_m_2,V_n_2] : % 158.64/158.67 ( 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) % 158.64/158.67 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.67 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__less__0__iff,axiom, % 158.64/158.67 ! [V_m,T_a] : % 158.64/158.67 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.67 => ~ 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))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_not__int__zless__negative,axiom, % 158.64/158.67 ! [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)))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zmult__int,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_int__mult,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__0,axiom, % 158.64/158.67 ! [T_a] : % 158.64/158.67 ( class_Rings_Osemiring__1(T_a) % 158.64/158.67 => 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) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__less__iff,axiom, % 158.64/158.67 ! [V_n_2,V_m_2,T_a] : % 158.64/158.67 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_less__imp__of__nat__less,axiom, % 158.64/158.67 ! [V_n,V_m,T_a] : % 158.64/158.67 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.64/158.67 => 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))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__less__imp__less,axiom, % 158.64/158.67 ! [V_n,V_m,T_a] : % 158.64/158.67 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.67 => ( 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))) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_int__1,axiom, % 158.64/158.67 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) ). % 158.64/158.67 % 158.64/158.67 fof(fact_transfer__int__nat__numerals_I2_J,axiom, % 158.64/158.67 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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__le__iff,axiom, % 158.64/158.67 ! [V_n_2,V_m_2,T_a] : % 158.64/158.67 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__add,axiom, % 158.64/158.67 ! [V_n,V_m,T_a] : % 158.64/158.67 ( class_Rings_Osemiring__1(T_a) % 158.64/158.67 => 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)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__mult,axiom, % 158.64/158.67 ! [V_n,V_m,T_a] : % 158.64/158.67 ( class_Rings_Osemiring__1(T_a) % 158.64/158.67 => 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)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_minus__Max__eq__Min,axiom, % 158.64/158.67 ! [V_S_2,T_a] : % 158.64/158.67 ( class_Groups_Olinordered__ab__group__add(T_a) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.64/158.67 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.67 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),V_S_2)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_minus__Min__eq__Max,axiom, % 158.64/158.67 ! [V_S_2,T_a] : % 158.64/158.67 ( class_Groups_Olinordered__ab__group__add(T_a) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.64/158.67 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.67 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),V_S_2)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__1,axiom, % 158.64/158.67 ! [T_a] : % 158.64/158.67 ( class_Rings_Osemiring__1(T_a) % 158.64/158.67 => 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) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Ints__of__nat,axiom, % 158.64/158.67 ! [V_n_2,T_a] : % 158.64/158.67 ( class_Rings_Oring__1(T_a) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Int_Oring__1__class_OInts(T_a))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Max_Osingleton,axiom, % 158.64/158.67 ! [V_x_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Min_Osingleton,axiom, % 158.64/158.67 ! [V_x_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__power,axiom, % 158.64/158.67 ! [V_n,V_m,T_a] : % 158.64/158.67 ( class_Rings_Osemiring__1(T_a) % 158.64/158.67 => 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) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zpower__int,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_int__power,axiom, % 158.64/158.67 ! [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) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__setsum,axiom, % 158.64/158.67 ! [V_A_2,V_f_2,T_b,T_a] : % 158.64/158.67 ( class_Rings_Osemiring__1(T_a) % 158.64/158.67 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),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,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_a)),V_f_2)),V_A_2) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_inj__of__nat,axiom, % 158.64/158.67 ! [T_a] : % 158.64/158.67 ( class_Nat_Osemiring__char__0(T_a) % 158.64/158.67 => c_Fun_Oinj__on(tc_Nat_Onat,T_a,c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_int__le__0__conv,axiom, % 158.64/158.67 ! [V_n_2] : % 158.64/158.67 ( 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))) % 158.64/158.67 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_int__Suc0__eq__1,axiom, % 158.64/158.67 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) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zless__iff__Suc__zadd,axiom, % 158.64/158.67 ! [V_z_2,V_w_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 158.64/158.67 <=> ? [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))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_int__zle__neg,axiom, % 158.64/158.67 ! [V_m_2,V_n_2] : % 158.64/158.67 ( 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)))) % 158.64/158.67 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.67 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_int__Suc,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_negative__zle__0,axiom, % 158.64/158.67 ! [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))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__setprod,axiom, % 158.64/158.67 ! [V_A_2,V_f_2,T_b,T_a] : % 158.64/158.67 ( ( class_Groups_Ocomm__monoid__mult(T_a) % 158.64/158.67 & class_Rings_Osemiring__1(T_a) ) % 158.64/158.67 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),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,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_a)),V_f_2)),V_A_2) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zdiff__int,axiom, % 158.64/158.67 ! [V_m,V_n] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 158.64/158.67 => 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)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__Suc,axiom, % 158.64/158.67 ! [V_m,T_a] : % 158.64/158.67 ( class_Rings_Osemiring__1(T_a) % 158.64/158.67 => 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)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__diff,axiom, % 158.64/158.67 ! [V_m,V_n,T_a] : % 158.64/158.67 ( class_Rings_Oring__1(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 158.64/158.67 => 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)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Min__le,axiom, % 158.64/158.67 ! [V_x_2,V_A_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_x_2)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Max__ge,axiom, % 158.64/158.67 ! [V_x_2,V_A_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2))) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Max__in,axiom, % 158.64/158.67 ! [V_A_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),V_A_2)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Min__in,axiom, % 158.64/158.67 ! [V_A_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.64/158.67 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_A_2)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom, % 158.64/158.67 ! [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)))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_setsum__constant,axiom, % 158.64/158.67 ! [V_A_2,V_y_2,T_b,T_a] : % 158.64/158.67 ( class_Rings_Osemiring__1(T_a) % 158.64/158.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(c_COMBK(T_a,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_y_2) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zero__less__int__conv,axiom, % 158.64/158.67 ! [V_n_2] : % 158.64/158.67 ( 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))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zmult__zless__mono2__lemma,axiom, % 158.64/158.67 ! [V_k,V_j,V_i] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 158.64/158.67 => 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))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_not__zle__0__negative,axiom, % 158.64/158.67 ! [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))))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_negative__zless__0,axiom, % 158.64/158.67 ! [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))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__0__less__iff,axiom, % 158.64/158.67 ! [V_n_2,T_a] : % 158.64/158.67 ( class_Rings_Olinordered__semidom(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Max__mono,axiom, % 158.64/158.67 ! [V_N_2,V_M_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_M_2),V_N_2)) % 158.64/158.67 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2))) ) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Min__antimono,axiom, % 158.64/158.67 ! [V_N_2,V_M_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_M_2),V_N_2)) % 158.64/158.67 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_M_2))) ) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 158.64/158.67 ! [V_y,V_x] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 158.64/158.67 => 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))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_tsub__eq,axiom, % 158.64/158.67 ! [V_x,V_y] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 158.64/158.67 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zdiff__int__split,axiom, % 158.64/158.67 ! [V_y_2,V_x_2,V_P_2] : % 158.64/158.67 ( 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)))) % 158.64/158.67 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2)) % 158.64/158.67 => 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)))) ) % 158.64/158.67 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 158.64/158.67 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_semiring__1__class_Oof__nat__code,axiom, % 158.64/158.67 ! [V_n_2,T_a] : % 158.64/158.67 ( class_Rings_Osemiring__1(T_a) % 158.64/158.67 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_Groups_Oone__class_Oone(T_a)),V_n_2,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_setsum__bounded,axiom, % 158.64/158.67 ! [V_K_2,V_f_2,V_A_2,T_a,T_b] : % 158.64/158.67 ( ( class_Groups_Oordered__ab__semigroup__add(T_b) % 158.64/158.67 & class_Rings_Osemiring__1(T_b) ) % 158.64/158.67 => ( ! [B_i] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_A_2)) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_i)),V_K_2)) ) % 158.64/158.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_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_a),V_A_2))),V_K_2))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_option_Osize_I2_J,axiom, % 158.64/158.67 ! [V_a_2,V_fa_2,T_a] : c_Option_Ooption_Ooption__size(T_a,V_fa_2,hAPP(c_Option_Ooption_OSome(T_a),V_a_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_image__minus__const__atLeastLessThan__nat,axiom, % 158.64/158.67 ! [V_x_2,V_y_2,V_ca_2] : % 158.64/158.67 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2)) % 158.64/158.67 => 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_ca_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_ca_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_ca_2)) ) % 158.64/158.67 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2)) % 158.64/158.67 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 158.64/158.67 => 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_ca_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))) ) % 158.64/158.67 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 158.64/158.67 => 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_ca_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)) ) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_int__power__div__base,axiom, % 158.64/158.67 ! [V_k,V_m] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 158.64/158.67 => 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)))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_finite__atLeastLessThan,axiom, % 158.64/158.67 ! [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))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_transfer__nat__int__set__relations_I5_J,axiom, % 158.64/158.67 ! [V_B_2,V_A_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.67 <=> 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))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_transfer__nat__int__set__relations_I3_J,axiom, % 158.64/158.67 ! [V_B_2,V_A_2] : % 158.64/158.67 ( V_A_2 = V_B_2 % 158.64/158.67 <=> 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) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_transfer__int__nat__relations_I1_J,axiom, % 158.64/158.67 ! [V_y_2,V_x_2] : % 158.64/158.67 ( 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) % 158.64/158.67 <=> V_x_2 = V_y_2 ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_transfer__nat__int__set__relations_I4_J,axiom, % 158.64/158.67 ! [V_B_2,V_A_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.64/158.67 <=> 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))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_int__int__eq,axiom, % 158.64/158.67 ! [V_n_2,V_m_2] : % 158.64/158.67 ( 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) % 158.64/158.67 <=> V_m_2 = V_n_2 ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_infinite__UNIV__int,axiom, % 158.64/158.67 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zdiv__zero,axiom, % 158.64/158.67 ! [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) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zdiv__zminus__zminus,axiom, % 158.64/158.67 ! [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) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zdiv__zminus2,axiom, % 158.64/158.67 ! [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) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__by__0,axiom, % 158.64/158.67 ! [V_a,T_a] : % 158.64/158.67 ( class_Divides_Osemiring__div(T_a) % 158.64/158.67 => 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) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__0,axiom, % 158.64/158.67 ! [V_a,T_a] : % 158.64/158.67 ( class_Divides_Osemiring__div(T_a) % 158.64/158.67 => 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) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__by__1,axiom, % 158.64/158.67 ! [V_a,T_a] : % 158.64/158.67 ( class_Divides_Osemiring__div(T_a) % 158.64/158.67 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_atLeastLessThan__inj_I2_J,axiom, % 158.64/158.67 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2)) % 158.64/158.67 => V_b_2 = V_d_2 ) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_atLeastLessThan__inj_I1_J,axiom, % 158.64/158.67 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2)) % 158.64/158.67 => V_a_2 = V_ca_2 ) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_atLeastLessThan__eq__iff,axiom, % 158.64/158.67 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2)) % 158.64/158.67 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2) % 158.64/158.67 <=> ( V_a_2 = V_ca_2 % 158.64/158.67 & V_b_2 = V_d_2 ) ) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom, % 158.64/158.67 ! [V_y,V_x] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 158.64/158.67 => 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))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_pos__imp__zdiv__neg__iff,axiom, % 158.64/158.67 ! [V_a_2,V_b_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 158.64/158.67 => ( 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))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_neg__imp__zdiv__neg__iff,axiom, % 158.64/158.67 ! [V_a_2,V_b_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.64/158.67 => ( 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))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__neg__pos__less0,axiom, % 158.64/158.67 ! [V_b,V_a] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 158.64/158.67 => 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))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_atLeastLessThan__add__Un,axiom, % 158.64/158.67 ! [V_k_2,V_j_2,V_i_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 158.64/158.67 => 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))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zdiv__self,axiom, % 158.64/158.67 ! [V_a] : % 158.64/158.67 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.64/158.67 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_atLeastLessThan0,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_atLeast0LessThan,axiom, % 158.64/158.67 ! [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) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__mult__mult1,axiom, % 158.64/158.67 ! [V_b,V_a,V_c,T_a] : % 158.64/158.67 ( class_Divides_Osemiring__div(T_a) % 158.64/158.67 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.67 => 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) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__mult__mult2,axiom, % 158.64/158.67 ! [V_b,V_a,V_c,T_a] : % 158.64/158.67 ( class_Divides_Osemiring__div(T_a) % 158.64/158.67 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.67 => 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) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__mult__self1__is__id,axiom, % 158.64/158.67 ! [V_a,V_b,T_a] : % 158.64/158.67 ( class_Divides_Osemiring__div(T_a) % 158.64/158.67 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.67 => 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 ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__mult__self2__is__id,axiom, % 158.64/158.67 ! [V_a,V_b,T_a] : % 158.64/158.67 ( class_Divides_Osemiring__div(T_a) % 158.64/158.67 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.67 => 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 ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__mult__mult1__if,axiom, % 158.64/158.67 ! [V_b,V_a,V_c,T_a] : % 158.64/158.67 ( class_Divides_Osemiring__div(T_a) % 158.64/158.67 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.67 => 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) ) % 158.64/158.67 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.67 => 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) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__self,axiom, % 158.64/158.67 ! [V_a,T_a] : % 158.64/158.67 ( class_Divides_Osemiring__div(T_a) % 158.64/158.67 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.67 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_subset__card__intvl__is__intvl,axiom, % 158.64/158.67 ! [V_k_2,V_A_2] : % 158.64/158.67 ( 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))))) % 158.64/158.67 => 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))) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_card__atLeastLessThan,axiom, % 158.64/158.67 ! [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) ). % 158.64/158.67 % 158.64/158.67 fof(fact_image__Suc__atLeastLessThan,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_atLeastLessThan__empty,axiom, % 158.64/158.67 ! [V_a_2,V_b_2,T_a] : % 158.64/158.67 ( class_Orderings_Oorder(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2)) % 158.64/158.67 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_atLeastLessThan__empty__iff,axiom, % 158.64/158.67 ! [V_b_2,V_a_2,T_a] : % 158.64/158.67 ( class_Orderings_Oorder(T_a) % 158.64/158.67 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.64/158.67 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_atLeastLessThan__empty__iff2,axiom, % 158.64/158.67 ! [V_b_2,V_a_2,T_a] : % 158.64/158.67 ( class_Orderings_Oorder(T_a) % 158.64/158.67 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) % 158.64/158.67 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_atLeastLessThan__subset__iff,axiom, % 158.64/158.67 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2))) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2)) % 158.64/158.67 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_a_2)) % 158.64/158.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2)) ) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_setsum__shift__bounds__Suc__ivl,axiom, % 158.64/158.67 ! [V_n_2,V_m_2,V_f_2,T_a] : % 158.64/158.67 ( class_Groups_Ocomm__monoid__add(T_a) % 158.64/158.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_ivl__disj__un_I17_J,axiom, % 158.64/158.67 ! [V_u_2,V_m_2,V_l_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2)) % 158.64/158.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_setsum__shift__bounds__nat__ivl,axiom, % 158.64/158.67 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_a] : % 158.64/158.67 ( class_Groups_Ocomm__monoid__add(T_a) % 158.64/158.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_ivl__diff,axiom, % 158.64/158.67 ! [V_m_2,V_n_2,V_i_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_i_2),V_n_2)) % 158.64/158.67 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_n_2),V_m_2) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_ivl__disj__int_I11_J,axiom, % 158.64/158.67 ! [V_u_2,V_m_2,V_l_2,T_a] : % 158.64/158.67 ( class_Orderings_Oorder(T_a) % 158.64/158.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_image__add__atLeastLessThan,axiom, % 158.64/158.67 ! [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)) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zdiv__eq__0__iff,axiom, % 158.64/158.67 ! [V_k_2,V_i_2] : % 158.64/158.67 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.64/158.67 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.64/158.67 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2)) % 158.64/158.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) ) % 158.64/158.67 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.64/158.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_pos__imp__zdiv__nonneg__iff,axiom, % 158.64/158.67 ! [V_a_2,V_b_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 158.64/158.67 => ( 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))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_pos__imp__zdiv__pos__iff,axiom, % 158.64/158.67 ! [V_i_2,V_k_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 158.64/158.67 => ( 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))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom, % 158.64/158.67 ! [V_b_2,V_a_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) % 158.64/158.67 => ( 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))) % 158.64/158.67 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2)) % 158.64/158.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zdiv__mono2,axiom, % 158.64/158.67 ! [V_b,V_b_H,V_a] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 158.64/158.67 => 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))) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__nonneg__neg__le0,axiom, % 158.64/158.67 ! [V_b,V_a] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.64/158.67 => 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))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__pos__pos__trivial,axiom, % 158.64/158.67 ! [V_b,V_a] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 158.64/158.67 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_neg__imp__zdiv__nonneg__iff,axiom, % 158.64/158.67 ! [V_a_2,V_b_2] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.64/158.67 => ( 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))) % 158.64/158.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__nonpos__pos__le0,axiom, % 158.64/158.67 ! [V_b,V_a] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 158.64/158.67 => 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))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zdiv__mono2__neg,axiom, % 158.64/158.67 ! [V_b,V_b_H,V_a] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 158.64/158.67 => 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))) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__neg__neg__trivial,axiom, % 158.64/158.67 ! [V_b,V_a] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 158.64/158.67 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zdiv__mono1,axiom, % 158.64/158.67 ! [V_b,V_a_H,V_a] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 158.64/158.67 => 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))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zdiv__mono1__neg,axiom, % 158.64/158.67 ! [V_b,V_a_H,V_a] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.64/158.67 => 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))) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_int__div__less__self,axiom, % 158.64/158.67 ! [V_k,V_x] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)) % 158.64/158.67 => 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)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_zdiv__zmult2__eq,axiom, % 158.64/158.67 ! [V_b,V_a,V_c] : % 158.64/158.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 158.64/158.67 => 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) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_setsum__add__nat__ivl,axiom, % 158.64/158.67 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_a] : % 158.64/158.67 ( class_Groups_Ocomm__monoid__add(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 158.64/158.67 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),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_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_setsum__diff__nat__ivl,axiom, % 158.64/158.67 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_a] : % 158.64/158.67 ( class_Groups_Oab__group__add(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 158.64/158.67 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),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_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__aux_Osimps_I1_J,axiom, % 158.64/158.67 ! [V_i_2,V_inc_2,T_a] : % 158.64/158.67 ( class_Rings_Osemiring__1(T_a) % 158.64/158.67 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_of__nat__aux_Osimps_I2_J,axiom, % 158.64/158.67 ! [V_i_2,V_n_2,V_inc_2,T_a] : % 158.64/158.67 ( class_Rings_Osemiring__1(T_a) % 158.64/158.67 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__mult__self1,axiom, % 158.64/158.67 ! [V_c,V_a,V_b,T_a] : % 158.64/158.67 ( class_Divides_Osemiring__div(T_a) % 158.64/158.67 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.67 => 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)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__mult__self2,axiom, % 158.64/158.67 ! [V_c,V_a,V_b,T_a] : % 158.64/158.67 ( class_Divides_Osemiring__div(T_a) % 158.64/158.67 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.67 => 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)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__add__self1,axiom, % 158.64/158.67 ! [V_a,V_b,T_a] : % 158.64/158.67 ( class_Divides_Osemiring__div(T_a) % 158.64/158.67 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.67 => 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)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_div__add__self2,axiom, % 158.64/158.67 ! [V_a,V_b,T_a] : % 158.64/158.67 ( class_Divides_Osemiring__div(T_a) % 158.64/158.67 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.67 => 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)) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_atLeastLessThan__singleton,axiom, % 158.64/158.67 ! [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))) ). % 158.64/158.67 % 158.64/158.67 fof(fact_option_Osize_I1_J,axiom, % 158.64/158.67 ! [V_fa_2,T_a] : c_Option_Ooption_Ooption__size(T_a,V_fa_2,c_Option_Ooption_ONone(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.64/158.67 % 158.64/158.67 fof(fact_ivl__disj__un_I8_J,axiom, % 158.64/158.67 ! [V_u_2,V_l_2,T_a] : % 158.64/158.67 ( class_Orderings_Olinorder(T_a) % 158.64/158.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2)) % 158.64/158.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2) ) ) ). % 158.64/158.67 % 158.64/158.67 fof(fact_ivl__disj__int_I2_J,axiom, % 158.64/158.67 ! [V_u_2,V_l_2,T_a] : % 158.64/158.68 ( class_Orderings_Oorder(T_a) % 158.64/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom, % 158.64/158.68 ! [V_k_2,V_f_2,T_a] : % 158.64/158.68 ( class_Groups_Ocomm__monoid__add(T_a) % 158.64/158.68 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_a) % 158.64/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_setsum__head__upt__Suc,axiom, % 158.64/158.68 ! [V_f_2,V_n_2,V_m_2,T_a] : % 158.64/158.68 ( class_Groups_Ocomm__monoid__add(T_a) % 158.64/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_atLeastLessThanSuc,axiom, % 158.64/158.68 ! [V_n_2,V_m_2] : % 158.64/158.68 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.68 => 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)) ) % 158.64/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 158.64/158.68 => 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)) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_setsum__op__ivl__Suc,axiom, % 158.64/158.68 ! [V_f_2,V_m_2,V_n_2,T_a] : % 158.64/158.68 ( class_Groups_Ocomm__monoid__add(T_a) % 158.64/158.68 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 158.64/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a) ) % 158.64/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 158.64/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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)) ) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_divmod__int__rel__div__eq,axiom, % 158.64/158.68 ! [V_r_1,V_y,V_b_1,V_a_1] : % 158.64/158.68 ( 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) % 158.64/158.68 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 158.64/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1)) % 158.64/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) ) % 158.64/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 158.64/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1)) % 158.64/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 158.64/158.68 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.64/158.68 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_split__zdiv,axiom, % 158.64/158.68 ! [V_k_2,V_n_2,V_P_2] : % 158.64/158.68 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2))) % 158.64/158.68 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.64/158.68 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 158.64/158.68 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 158.64/158.68 => ! [B_i] : % 158.64/158.68 ( ? [B_j] : % 158.64/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 158.64/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 158.64/158.68 & 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) ) % 158.64/158.68 => hBOOL(hAPP(V_P_2,B_i)) ) ) % 158.64/158.68 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.64/158.68 => ! [B_i] : % 158.64/158.68 ( ? [B_j] : % 158.64/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 158.64/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.64/158.68 & 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) ) % 158.64/158.68 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_all__nat__less__eq,axiom, % 158.64/158.68 ! [V_P_2,V_n_2] : % 158.64/158.68 ( ! [B_m] : % 158.64/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 158.64/158.68 => hBOOL(hAPP(V_P_2,B_m)) ) % 158.64/158.68 <=> ! [B_x] : % 158.64/158.68 ( 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))) % 158.64/158.68 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_ex__nat__less__eq,axiom, % 158.64/158.68 ! [V_P_2,V_n_2] : % 158.64/158.68 ( ? [B_m] : % 158.64/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 158.64/158.68 & hBOOL(hAPP(V_P_2,B_m)) ) % 158.64/158.68 <=> ? [B_x] : % 158.64/158.68 ( 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))) % 158.64/158.68 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_nat_Osize_I2_J,axiom, % 158.64/158.68 ! [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))) ). % 158.64/158.68 % 158.64/158.68 fof(fact_z3div__def,axiom, % 158.64/158.68 ! [V_k,V_l] : % 158.64/158.68 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 158.64/158.68 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) ) % 158.64/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 158.64/158.68 => 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))) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_nat_Osize_I4_J,axiom, % 158.64/158.68 ! [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))) ). % 158.64/158.68 % 158.64/158.68 fof(fact_finite__atLeastLessThan__int,axiom, % 158.64/158.68 ! [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))) ). % 158.64/158.68 % 158.64/158.68 fof(fact_nat__size,axiom, % 158.64/158.68 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ). % 158.64/158.68 % 158.64/158.68 fof(fact_div__le__dividend,axiom, % 158.64/158.68 ! [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)) ). % 158.64/158.68 % 158.64/158.68 fof(fact_div__le__mono,axiom, % 158.64/158.68 ! [V_k,V_n,V_m] : % 158.64/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 158.64/158.68 => 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))) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_div__mult2__eq,axiom, % 158.64/158.68 ! [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) ). % 158.64/158.68 % 158.64/158.68 fof(fact_div__1,axiom, % 158.64/158.68 ! [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 ). % 158.64/158.68 % 158.64/158.68 fof(fact_div__less,axiom, % 158.64/158.68 ! [V_n,V_m] : % 158.64/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.64/158.68 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_nat__mult__div__cancel__disj,axiom, % 158.64/158.68 ! [V_n,V_m,V_k] : % 158.64/158.68 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.68 => 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) ) % 158.64/158.68 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.68 => 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) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom, % 158.64/158.68 ! [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)) ). % 158.64/158.68 % 158.64/158.68 fof(fact_zdiv__int,axiom, % 158.64/158.68 ! [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)) ). % 158.64/158.68 % 158.64/158.68 fof(fact_finite__atLeastZeroLessThan__int,axiom, % 158.64/158.68 ! [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))) ). % 158.64/158.68 % 158.64/158.68 fof(fact_div__le__mono2,axiom, % 158.64/158.68 ! [V_k,V_n,V_m] : % 158.64/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 158.64/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 158.64/158.68 => 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))) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_div__mult__self__is__m,axiom, % 158.64/158.68 ! [V_m,V_n] : % 158.64/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 158.64/158.68 => 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 ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_div__mult__self1__is__m,axiom, % 158.64/158.68 ! [V_m,V_n] : % 158.64/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 158.64/158.68 => 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 ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_nat__mult__div__cancel1,axiom, % 158.64/158.68 ! [V_n,V_m,V_k] : % 158.64/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 158.64/158.68 => 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) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_div__less__dividend,axiom, % 158.64/158.68 ! [V_m,V_n] : % 158.64/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 158.64/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 158.64/158.68 => 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)) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_nat_Osize_I3_J,axiom, % 158.64/158.68 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) ). % 158.64/158.68 % 158.64/158.68 fof(fact_div__geq,axiom, % 158.64/158.68 ! [V_m,V_n] : % 158.64/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 158.64/158.68 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.64/158.68 => 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)) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_div__if,axiom, % 158.64/158.68 ! [V_m,V_n] : % 158.64/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 158.64/158.68 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.64/158.68 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 158.64/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.64/158.68 => 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)) ) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_split__div,axiom, % 158.64/158.68 ! [V_k_2,V_n_2,V_P_2] : % 158.64/158.68 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2))) % 158.64/158.68 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.68 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 158.64/158.68 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.68 => ! [B_i,B_j] : % 158.64/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 158.64/158.68 => ( 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) % 158.64/158.68 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_nat_Osize_I1_J,axiom, % 158.64/158.68 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.64/158.68 % 158.64/158.68 fof(fact_image__add__int__atLeastLessThan,axiom, % 158.64/158.68 ! [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) ). % 158.64/158.68 % 158.64/158.68 fof(fact_le__div__geq,axiom, % 158.64/158.68 ! [V_m,V_n] : % 158.64/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 158.64/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 158.64/158.68 => 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)) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_split__div_H,axiom, % 158.64/158.68 ! [V_n_2,V_m_2,V_P_2] : % 158.64/158.68 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2))) % 158.64/158.68 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.64/158.68 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 158.64/158.68 | ? [B_q] : % 158.64/158.68 ( 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)) % 158.64/158.68 & 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)))) % 158.64/158.68 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_split__div__lemma,axiom, % 158.64/158.68 ! [V_m_2,V_q_2,V_n_2] : % 158.64/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 158.64/158.68 => ( ( 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)) % 158.64/158.68 & 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)))) ) % 158.64/158.68 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_option_Osize_I4_J,axiom, % 158.64/158.68 ! [V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(T_a)),hAPP(c_Option_Ooption_OSome(T_a),V_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.64/158.68 % 158.64/158.68 fof(fact_option_Osize_I3_J,axiom, % 158.64/158.68 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.64/158.68 % 158.64/158.68 fof(fact_ivl__disj__un_I3_J,axiom, % 158.64/158.68 ! [V_u_2,V_l_2,T_a] : % 158.64/158.68 ( class_Orderings_Olinorder(T_a) % 158.64/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2)) % 158.64/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_com_Osize_I4_J,axiom, % 158.64/158.68 ! [V_com2,V_com1] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(V_com1,V_com2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com1)),c_Com_Ocom_Ocom__size(V_com2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 158.64/158.68 % 158.64/158.68 fof(fact_com_Osize_I5_J,axiom, % 158.64/158.68 ! [V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com1_2)),c_Com_Ocom_Ocom__size(V_com2_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 158.64/158.68 % 158.64/158.68 fof(fact_finite__greaterThanLessThan,axiom, % 158.64/158.68 ! [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))) ). % 158.64/158.68 % 158.64/158.68 fof(fact_finite__greaterThanLessThan__int,axiom, % 158.64/158.68 ! [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))) ). % 158.64/158.68 % 158.64/158.68 fof(fact_greaterThanLessThan__empty,axiom, % 158.64/158.68 ! [V_k_2,V_l_2,T_a] : % 158.64/158.68 ( class_Orderings_Oorder(T_a) % 158.64/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_k_2)) % 158.64/158.68 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom, % 158.64/158.68 ! [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) ). % 158.64/158.68 % 158.64/158.68 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom, % 158.64/158.68 ! [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) ). % 158.64/158.68 % 158.64/158.68 fof(fact_image__uminus__greaterThanLessThan,axiom, % 158.64/158.68 ! [V_y_2,V_x_2,T_a] : % 158.64/158.68 ( class_Groups_Oordered__ab__group__add(T_a) % 158.64/158.68 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_com_Osize_I7_J,axiom, % 158.64/158.68 ! [V_pname] : c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.64/158.68 % 158.64/158.68 fof(fact_com_Osize_I1_J,axiom, % 158.64/158.68 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.64/158.68 % 158.64/158.68 fof(fact_ivl__disj__int_I9_J,axiom, % 158.64/158.68 ! [V_u_2,V_m_2,V_l_2,T_a] : % 158.64/158.68 ( class_Orderings_Oorder(T_a) % 158.64/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_card__greaterThanLessThan,axiom, % 158.64/158.68 ! [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)) ). % 158.64/158.68 % 158.64/158.68 fof(fact_ivl__disj__un_I15_J,axiom, % 158.64/158.68 ! [V_u_2,V_m_2,V_l_2,T_a] : % 158.64/158.68 ( class_Orderings_Olinorder(T_a) % 158.64/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_m_2)) % 158.64/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2)) % 158.64/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2) ) ) ) ). % 158.64/158.68 % 158.64/158.68 fof(fact_com_Osize_I6_J,axiom, % 158.64/158.68 ! [V_com_2,V_fun_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 158.64/158.68 % 158.95/158.68 fof(fact_ivl__disj__un_I4_J,axiom, % 158.95/158.68 ! [V_u_2,V_l_2,T_a] : % 158.95/158.68 ( class_Orderings_Olinorder(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2)) % 158.95/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_com_Osize_I12_J,axiom, % 158.95/158.68 ! [V_com2,V_com1] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSemi(V_com1,V_com2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com1)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 158.95/158.68 % 158.95/158.68 fof(fact_com_Osize_I13_J,axiom, % 158.95/158.68 ! [V_com2_2,V_com1_2,V_fun_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com1_2)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com2_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 158.95/158.68 % 158.95/158.68 fof(fact_setprod__diff1,axiom, % 158.95/158.68 ! [V_a_2,V_f_2,V_A_2,T_a,T_b] : % 158.95/158.68 ( class_Fields_Ofield(T_b) % 158.95/158.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.95/158.68 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_b) % 158.95/158.68 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.95/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 158.95/158.68 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.95/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) ) ) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_image__atLeastZeroLessThan__int,axiom, % 158.95/158.68 ! [V_u_2] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) % 158.95/158.68 => 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))) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_finite__greaterThanAtMost,axiom, % 158.95/158.68 ! [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))) ). % 158.95/158.68 % 158.95/158.68 fof(fact_finite__greaterThanAtMost__int,axiom, % 158.95/158.68 ! [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))) ). % 158.95/158.68 % 158.95/158.68 fof(fact_power__divide,axiom, % 158.95/158.68 ! [V_n,V_b,V_a,T_a] : % 158.95/158.68 ( class_Fields_Ofield__inverse__zero(T_a) % 158.95/158.68 => 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)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__zero,axiom, % 158.95/158.68 ! [V_a,T_a] : % 158.95/158.68 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 158.95/158.68 => 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) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__zero__left,axiom, % 158.95/158.68 ! [V_a,T_a] : % 158.95/158.68 ( class_Rings_Odivision__ring(T_a) % 158.95/158.68 => 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) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_minus__divide__left,axiom, % 158.95/158.68 ! [V_b,V_a,T_a] : % 158.95/158.68 ( class_Rings_Odivision__ring(T_a) % 158.95/158.68 => 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) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__1,axiom, % 158.95/158.68 ! [V_a,T_a] : % 158.95/158.68 ( class_Rings_Odivision__ring(T_a) % 158.95/158.68 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_diff__divide__distrib,axiom, % 158.95/158.68 ! [V_c,V_b,V_a,T_a] : % 158.95/158.68 ( class_Rings_Odivision__ring(T_a) % 158.95/158.68 => 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)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_times__divide__eq__right,axiom, % 158.95/158.68 ! [V_c,V_b,V_a,T_a] : % 158.95/158.68 ( class_Rings_Odivision__ring(T_a) % 158.95/158.68 => 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) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_add__divide__distrib,axiom, % 158.95/158.68 ! [V_c,V_b,V_a,T_a] : % 158.95/158.68 ( class_Rings_Odivision__ring(T_a) % 158.95/158.68 => 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)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__int,axiom, % 158.95/158.68 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ). % 158.95/158.68 % 158.95/158.68 fof(fact_card__greaterThanAtMost__int,axiom, % 158.95/158.68 ! [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)) ). % 158.95/158.68 % 158.95/158.68 fof(fact_setsum__divide__distrib,axiom, % 158.95/158.68 ! [V_r_2,V_A_2,V_f_2,T_b,T_a] : % 158.95/158.68 ( class_Fields_Ofield(T_a) % 158.95/158.68 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Rings_Oinverse__class_Odivide(T_a)),V_f_2)),V_r_2)),V_A_2) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_eq__divide__imp,axiom, % 158.95/158.68 ! [V_b,V_a,V_c,T_a] : % 158.95/158.68 ( class_Rings_Odivision__ring(T_a) % 158.95/158.68 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b % 158.95/158.68 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__eq__imp,axiom, % 158.95/158.68 ! [V_a,V_b,V_c,T_a] : % 158.95/158.68 ( class_Rings_Odivision__ring(T_a) % 158.95/158.68 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) % 158.95/158.68 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nonzero__divide__eq__eq,axiom, % 158.95/158.68 ! [V_a_2,V_b_2,V_ca_2,T_a] : % 158.95/158.68 ( class_Rings_Odivision__ring(T_a) % 158.95/158.68 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) = V_a_2 % 158.95/158.68 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nonzero__eq__divide__eq,axiom, % 158.95/158.68 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 158.95/158.68 ( class_Rings_Odivision__ring(T_a) % 158.95/158.68 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) % 158.95/158.68 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) = V_b_2 ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_right__inverse__eq,axiom, % 158.95/158.68 ! [V_a_2,V_b_2,T_a] : % 158.95/158.68 ( class_Rings_Odivision__ring(T_a) % 158.95/158.68 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_a) % 158.95/158.68 <=> V_a_2 = V_b_2 ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__self,axiom, % 158.95/158.68 ! [V_a,T_a] : % 158.95/158.68 ( class_Rings_Odivision__ring(T_a) % 158.95/158.68 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__self__if,axiom, % 158.95/158.68 ! [V_a,T_a] : % 158.95/158.68 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 158.95/158.68 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) % 158.95/158.68 & ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nonzero__minus__divide__right,axiom, % 158.95/158.68 ! [V_a,V_b,T_a] : % 158.95/158.68 ( class_Rings_Odivision__ring(T_a) % 158.95/158.68 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => 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)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nonzero__minus__divide__divide,axiom, % 158.95/158.68 ! [V_a,V_b,T_a] : % 158.95/158.68 ( class_Rings_Odivision__ring(T_a) % 158.95/158.68 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => 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) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nonzero__power__divide,axiom, % 158.95/158.68 ! [V_n,V_a,V_b,T_a] : % 158.95/158.68 ( class_Fields_Ofield(T_a) % 158.95/158.68 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => 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)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__0,axiom, % 158.95/158.68 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.95/158.68 % 158.95/158.68 fof(fact_transfer__nat__int__numerals_I1_J,axiom, % 158.95/158.68 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 158.95/158.68 % 158.95/158.68 fof(fact_eq__nat__nat__iff,axiom, % 158.95/158.68 ! [V_z_H_2,V_z_2] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2)) % 158.95/158.68 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2) % 158.95/158.68 <=> V_z_2 = V_z_H_2 ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_ex__nat,axiom, % 158.95/158.68 ! [V_P_2] : % 158.95/158.68 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 158.95/158.68 <=> ? [B_x] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 158.95/158.68 & hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_all__nat,axiom, % 158.95/158.68 ! [V_P_2] : % 158.95/158.68 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 158.95/158.68 <=> ! [B_x] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 158.95/158.68 => hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_transfer__nat__int__relations_I1_J,axiom, % 158.95/158.68 ! [V_y_2,V_x_2] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 158.95/158.68 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2) % 158.95/158.68 <=> V_x_2 = V_y_2 ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_power__one__over,axiom, % 158.95/158.68 ! [V_n,V_a,T_a] : % 158.95/158.68 ( class_Fields_Ofield__inverse__zero(T_a) % 158.95/158.68 => 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) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_transfer__nat__int__numerals_I2_J,axiom, % 158.95/158.68 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 158.95/158.68 % 158.95/158.68 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom, % 158.95/158.68 ! [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))) ). % 158.95/158.68 % 158.95/158.68 fof(fact_transfer__int__nat__set__return__embed,axiom, % 158.95/158.68 ! [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 ). % 158.95/158.68 % 158.95/158.68 fof(fact_setprod__dividef,axiom, % 158.95/158.68 ! [V_g_2,V_f_2,V_A_2,T_a,T_b] : % 158.95/158.68 ( class_Fields_Ofield__inverse__zero(T_b) % 158.95/158.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.95/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom, % 158.95/158.68 ! [V_A_2,V_f_2,T_a] : % 158.95/158.68 ( ( class_Groups_Ocomm__monoid__add(T_a) % 158.95/158.68 & class_Groups_Ocomm__monoid__mult(T_a) ) % 158.95/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_greaterThanAtMost__empty,axiom, % 158.95/158.68 ! [V_k_2,V_l_2,T_a] : % 158.95/158.68 ( class_Orderings_Oorder(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_k_2)) % 158.95/158.68 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_greaterThanAtMost__empty__iff2,axiom, % 158.95/158.68 ! [V_l_2,V_k_2,T_a] : % 158.95/158.68 ( class_Orderings_Oorder(T_a) % 158.95/158.68 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2) % 158.95/158.68 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_l_2)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_greaterThanAtMost__empty__iff,axiom, % 158.95/158.68 ! [V_l_2,V_k_2,T_a] : % 158.95/158.68 ( class_Orderings_Oorder(T_a) % 158.95/158.68 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.95/158.68 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_l_2)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_ivl__disj__un_I20_J,axiom, % 158.95/158.68 ! [V_u_2,V_m_2,V_l_2,T_a] : % 158.95/158.68 ( class_Orderings_Olinorder(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2)) % 158.95/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom, % 158.95/158.68 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))) ). % 158.95/158.68 % 158.95/158.68 fof(fact_ivl__disj__int_I14_J,axiom, % 158.95/158.68 ! [V_u_2,V_m_2,V_l_2,T_a] : % 158.95/158.68 ( class_Orderings_Oorder(T_a) % 158.95/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__le__0,axiom, % 158.95/158.68 ! [V_z] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.95/158.68 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__0__iff,axiom, % 158.95/158.68 ! [V_i_2] : % 158.95/158.68 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.95/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__mono__iff,axiom, % 158.95/158.68 ! [V_w_2,V_z_2] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 158.95/158.68 => ( 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))) % 158.95/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_zless__nat__conj,axiom, % 158.95/158.68 ! [V_z_2,V_w_2] : % 158.95/158.68 ( 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))) % 158.95/158.68 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 158.95/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_transfer__nat__int__relations_I3_J,axiom, % 158.95/158.68 ! [V_y_2,V_x_2] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 158.95/158.68 => ( 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))) % 158.95/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__1,axiom, % 158.95/158.68 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 158.95/158.68 % 158.95/158.68 fof(fact_int__nat__eq,axiom, % 158.95/158.68 ! [V_z] : % 158.95/158.68 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 158.95/158.68 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) % 158.95/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 158.95/158.68 => 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) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_int__eq__iff,axiom, % 158.95/158.68 ! [V_z_2,V_m_2] : % 158.95/158.68 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2 % 158.95/158.68 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2) % 158.95/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__0__le,axiom, % 158.95/158.68 ! [V_z] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 158.95/158.68 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_zless__nat__eq__int__zless,axiom, % 158.95/158.68 ! [V_z_2,V_m_2] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2))) % 158.95/158.68 <=> 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)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__zminus__int,axiom, % 158.95/158.68 ! [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) ). % 158.95/158.68 % 158.95/158.68 fof(fact_card__greaterThanAtMost,axiom, % 158.95/158.68 ! [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) ). % 158.95/158.68 % 158.95/158.68 fof(fact_com_Osize_I15_J,axiom, % 158.95/158.68 ! [V_pname] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.95/158.68 % 158.95/158.68 fof(fact_com_Osize_I9_J,axiom, % 158.95/158.68 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 158.95/158.68 % 158.95/158.68 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom, % 158.95/158.68 ! [V_A_2,V_f_2,T_a] : % 158.95/158.68 ( ( class_Groups_Ocomm__monoid__add(T_a) % 158.95/158.68 & class_Groups_Ocomm__monoid__mult(T_a) ) % 158.95/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_card__atLeastZeroLessThan__int,axiom, % 158.95/158.68 ! [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) ). % 158.95/158.68 % 158.95/158.68 fof(fact_card__atLeastLessThan__int,axiom, % 158.95/158.68 ! [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)) ). % 158.95/158.68 % 158.95/158.68 fof(fact_zero__less__nat__eq,axiom, % 158.95/158.68 ! [V_z_2] : % 158.95/158.68 ( 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))) % 158.95/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_power__diff,axiom, % 158.95/158.68 ! [V_m,V_n,V_a,T_a] : % 158.95/158.68 ( class_Fields_Ofield(T_a) % 158.95/158.68 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 158.95/158.68 => 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)) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__less__eq__zless,axiom, % 158.95/158.68 ! [V_z_2,V_w_2] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 158.95/158.68 => ( 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))) % 158.95/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_transfer__nat__int__relations_I2_J,axiom, % 158.95/158.68 ! [V_y_2,V_x_2] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 158.95/158.68 => ( 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))) % 158.95/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__eq__iff,axiom, % 158.95/158.68 ! [V_m_2,V_w_2] : % 158.95/158.68 ( hAPP(c_Int_Onat,V_w_2) = V_m_2 % 158.95/158.68 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 158.95/158.68 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 158.95/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 158.95/158.68 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__eq__iff2,axiom, % 158.95/158.68 ! [V_w_2,V_m_2] : % 158.95/158.68 ( V_m_2 = hAPP(c_Int_Onat,V_w_2) % 158.95/158.68 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 158.95/158.68 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 158.95/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 158.95/158.68 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__le__eq__zle,axiom, % 158.95/158.68 ! [V_z_2,V_w_2] : % 158.95/158.68 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 158.95/158.68 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) % 158.95/158.68 => ( 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))) % 158.95/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_split__nat,axiom, % 158.95/158.68 ! [V_i_2,V_P_2] : % 158.95/158.68 ( hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2))) % 158.95/158.68 <=> ( ! [B_n] : % 158.95/158.68 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) % 158.95/158.68 => hBOOL(hAPP(V_P_2,B_n)) ) % 158.95/158.68 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.95/158.68 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__add__distrib,axiom, % 158.95/158.68 ! [V_z_H,V_z] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 158.95/158.68 => 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)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom, % 158.95/158.68 ! [V_y,V_x] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 158.95/158.68 => 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)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__mult__distrib,axiom, % 158.95/158.68 ! [V_z_H,V_z] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 158.95/158.68 => 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)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom, % 158.95/158.68 ! [V_y,V_x] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 158.95/158.68 => 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)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom, % 158.95/158.68 ! [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))) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__diff__distrib,axiom, % 158.95/158.68 ! [V_z,V_z_H] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 158.95/158.68 => 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)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom, % 158.95/158.68 ! [V_A_2,V_f_2,T_a] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ). % 158.95/158.68 % 158.95/158.68 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom, % 158.95/158.68 ! [V_y,V_x] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 158.95/158.68 => 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)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__div__distrib,axiom, % 158.95/158.68 ! [V_y,V_x] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 158.95/158.68 => 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)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_image__uminus__greaterThanAtMost,axiom, % 158.95/158.68 ! [V_y_2,V_x_2,T_a] : % 158.95/158.68 ( class_Groups_Oordered__ab__group__add(T_a) % 158.95/158.68 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_image__uminus__atLeastLessThan,axiom, % 158.95/158.68 ! [V_y_2,V_x_2,T_a] : % 158.95/158.68 ( class_Groups_Oordered__ab__group__add(T_a) % 158.95/158.68 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom, % 158.95/158.68 ! [V_n,V_x] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 158.95/158.68 => 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)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__power__eq,axiom, % 158.95/158.68 ! [V_n,V_z] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 158.95/158.68 => 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) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom, % 158.95/158.68 ! [V_A_2,V_f_2,T_a] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ). % 158.95/158.68 % 158.95/158.68 fof(fact_ivl__disj__int_I10_J,axiom, % 158.95/158.68 ! [V_u_2,V_m_2,V_l_2,T_a] : % 158.95/158.68 ( class_Orderings_Oorder(T_a) % 158.95/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom, % 158.95/158.68 ! [V_y,V_x] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 158.95/158.68 => 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)) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_card__greaterThanLessThan__int,axiom, % 158.95/158.68 ! [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)))) ). % 158.95/158.68 % 158.95/158.68 fof(fact_one__less__nat__eq,axiom, % 158.95/158.68 ! [V_z_2] : % 158.95/158.68 ( 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))) % 158.95/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__less__iff,axiom, % 158.95/158.68 ! [V_m_2,V_w_2] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2)) % 158.95/158.68 <=> 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))) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_Suc__nat__eq__nat__zadd1,axiom, % 158.95/158.68 ! [V_z] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 158.95/158.68 => 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)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_nat__mult__distrib__neg,axiom, % 158.95/158.68 ! [V_z_H,V_z] : % 158.95/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.95/158.68 => 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))) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom, % 158.95/158.68 ! [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)))) ). % 158.95/158.68 % 158.95/158.68 fof(fact_ivl__disj__un_I16_J,axiom, % 158.95/158.68 ! [V_u_2,V_m_2,V_l_2,T_a] : % 158.95/158.68 ( class_Orderings_Olinorder(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_u_2)) % 158.95/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_geometric__sum,axiom, % 158.95/158.68 ! [V_n_2,V_x_2,T_a] : % 158.95/158.68 ( class_Fields_Ofield(T_a) % 158.95/158.68 => ( V_x_2 != c_Groups_Oone__class_Oone(T_a) % 158.95/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(c_Power_Opower__class_Opower(T_a),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_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x_2),c_Groups_Oone__class_Oone(T_a))) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_com_Osize_I14_J,axiom, % 158.95/158.68 ! [V_com_2,V_fun_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 158.95/158.68 % 158.95/158.68 fof(fact_le__divide__eq,axiom, % 158.95/158.68 ! [V_ca_2,V_b_2,V_a_2,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2))) % 158.95/158.68 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.95/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) % 158.95/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.95/158.68 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) % 158.95/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__le__eq,axiom, % 158.95/158.68 ! [V_a_2,V_ca_2,V_b_2,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2)) % 158.95/158.68 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.95/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) % 158.95/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.95/158.68 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) % 158.95/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_pos__le__divide__eq,axiom, % 158.95/158.68 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2))) % 158.95/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_pos__divide__le__eq,axiom, % 158.95/158.68 ! [V_a_2,V_b_2,V_ca_2,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2)) % 158.95/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_mult__imp__div__pos__le,axiom, % 158.95/158.68 ! [V_z,V_x,V_y,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 158.95/158.68 => ( 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))) % 158.95/158.68 => 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)) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_times__divide__times__eq,axiom, % 158.95/158.68 ! [V_w,V_z,V_y,V_x,T_a] : % 158.95/158.68 ( class_Fields_Ofield__inverse__zero(T_a) % 158.95/158.68 => 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)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_minus__divide__right,axiom, % 158.95/158.68 ! [V_b,V_a,T_a] : % 158.95/158.68 ( class_Fields_Ofield__inverse__zero(T_a) % 158.95/158.68 => 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)) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_minus__divide__divide,axiom, % 158.95/158.68 ! [V_b,V_a,T_a] : % 158.95/158.68 ( class_Fields_Ofield__inverse__zero(T_a) % 158.95/158.68 => 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) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_zero__le__divide__iff,axiom, % 158.95/158.68 ! [V_b_2,V_a_2,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.95/158.68 => ( 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_a_2),V_b_2))) % 158.95/158.68 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) % 158.95/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) % 158.95/158.68 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__le__0__iff,axiom, % 158.95/158.68 ! [V_b_2,V_a_2,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) % 158.95/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) % 158.95/158.68 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__right__mono,axiom, % 158.95/158.68 ! [V_c,V_b,V_a,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.95/158.68 => 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))) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__right__mono__neg,axiom, % 158.95/158.68 ! [V_c,V_b,V_a,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 => 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))) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_zero__less__divide__iff,axiom, % 158.95/158.68 ! [V_b_2,V_a_2,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.95/158.68 => ( 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_a_2),V_b_2))) % 158.95/158.68 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) % 158.95/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) % 158.95/158.68 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__less__0__iff,axiom, % 158.95/158.68 ! [V_b_2,V_a_2,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) % 158.95/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) % 158.95/158.68 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__pos__pos,axiom, % 158.95/158.68 ! [V_y,V_x,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 158.95/158.68 => 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))) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__pos__neg,axiom, % 158.95/158.68 ! [V_y,V_x,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 => 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))) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__neg__pos,axiom, % 158.95/158.68 ! [V_y,V_x,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 158.95/158.68 => 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))) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__neg__neg,axiom, % 158.95/158.68 ! [V_y,V_x,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 => 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))) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__strict__right__mono,axiom, % 158.95/158.68 ! [V_c,V_b,V_a,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.95/158.68 => 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))) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__strict__right__mono__neg,axiom, % 158.95/158.68 ! [V_c,V_a,V_b,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 => 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))) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_frac__eq__eq,axiom, % 158.95/158.68 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_a] : % 158.95/158.68 ( class_Fields_Ofield(T_a) % 158.95/158.68 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w_2),V_z_2) % 158.95/158.68 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2) ) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_mult__divide__mult__cancel__left,axiom, % 158.95/158.68 ! [V_b,V_a,V_c,T_a] : % 158.95/158.68 ( class_Fields_Ofield__inverse__zero(T_a) % 158.95/158.68 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => 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) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_mult__divide__mult__cancel__right,axiom, % 158.95/158.68 ! [V_b,V_a,V_c,T_a] : % 158.95/158.68 ( class_Fields_Ofield__inverse__zero(T_a) % 158.95/158.68 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => 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) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__eq__eq,axiom, % 158.95/158.68 ! [V_a_2,V_ca_2,V_b_2,T_a] : % 158.95/158.68 ( class_Fields_Ofield__inverse__zero(T_a) % 158.95/158.68 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) = V_a_2 % 158.95/158.68 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) ) % 158.95/158.68 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_eq__divide__eq,axiom, % 158.95/158.68 ! [V_ca_2,V_b_2,V_a_2,T_a] : % 158.95/158.68 ( class_Fields_Ofield__inverse__zero(T_a) % 158.95/158.68 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) % 158.95/158.68 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) = V_b_2 ) % 158.95/158.68 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a) % 158.95/158.68 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__nonpos__neg,axiom, % 158.95/158.68 ! [V_y,V_x,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 => 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))) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_divide__nonpos__pos,axiom, % 158.95/158.68 ! [V_y,V_x,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 158.95/158.68 => 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))) ) ) ) ). % 158.95/158.68 % 158.95/158.68 fof(fact_frac__le,axiom, % 158.95/158.68 ! [V_z,V_w,V_y,V_x,T_a] : % 158.95/158.68 ( class_Fields_Olinordered__field(T_a) % 158.95/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 158.97/158.68 => 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))) ) ) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_frac__less,axiom, % 158.97/158.68 ! [V_z,V_w,V_y,V_x,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 158.97/158.68 => 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))) ) ) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_frac__less2,axiom, % 158.97/158.68 ! [V_z,V_w,V_y,V_x,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z)) % 158.97/158.68 => 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))) ) ) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_divide__nonneg__neg,axiom, % 158.97/158.68 ! [V_y,V_x,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.68 => 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))) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_divide__nonneg__pos,axiom, % 158.97/158.68 ! [V_y,V_x,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 158.97/158.68 => 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))) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_less__divide__eq,axiom, % 158.97/158.68 ! [V_ca_2,V_b_2,V_a_2,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2))) % 158.97/158.68 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.97/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) % 158.97/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.97/158.68 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) % 158.97/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_divide__less__eq,axiom, % 158.97/158.68 ! [V_a_2,V_ca_2,V_b_2,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2)) % 158.97/158.68 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.97/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) % 158.97/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.97/158.68 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) % 158.97/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_pos__less__divide__eq,axiom, % 158.97/158.68 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2))) % 158.97/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_pos__divide__less__eq,axiom, % 158.97/158.68 ! [V_a_2,V_b_2,V_ca_2,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2)) % 158.97/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_mult__imp__div__pos__less,axiom, % 158.97/158.68 ! [V_z,V_x,V_y,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 158.97/158.68 => ( 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))) % 158.97/158.68 => 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)) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_mult__imp__less__div__pos,axiom, % 158.97/158.68 ! [V_x,V_z,V_y,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 158.97/158.68 => ( 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)) % 158.97/158.68 => 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))) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_neg__less__divide__eq,axiom, % 158.97/158.68 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2))) % 158.97/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_neg__divide__less__eq,axiom, % 158.97/158.68 ! [V_a_2,V_b_2,V_ca_2,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2)) % 158.97/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_divide__strict__left__mono,axiom, % 158.97/158.68 ! [V_c,V_a,V_b,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.97/158.68 => ( 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))) % 158.97/158.68 => 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))) ) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_divide__strict__left__mono__neg,axiom, % 158.97/158.68 ! [V_c,V_b,V_a,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.68 => ( 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))) % 158.97/158.68 => 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))) ) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_add__num__frac,axiom, % 158.97/158.68 ! [V_x,V_z,V_y,T_a] : % 158.97/158.68 ( class_Fields_Ofield__inverse__zero(T_a) % 158.97/158.68 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.68 => 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) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_add__divide__eq__iff,axiom, % 158.97/158.68 ! [V_y,V_x,V_z,T_a] : % 158.97/158.68 ( class_Fields_Ofield(T_a) % 158.97/158.68 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.68 => 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) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_add__frac__num,axiom, % 158.97/158.68 ! [V_z,V_x,V_y,T_a] : % 158.97/158.68 ( class_Fields_Ofield__inverse__zero(T_a) % 158.97/158.68 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.68 => 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) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_divide__add__eq__iff,axiom, % 158.97/158.68 ! [V_y,V_x,V_z,T_a] : % 158.97/158.68 ( class_Fields_Ofield(T_a) % 158.97/158.68 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.68 => 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) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_add__frac__eq,axiom, % 158.97/158.68 ! [V_w,V_x,V_z,V_y,T_a] : % 158.97/158.68 ( class_Fields_Ofield(T_a) % 158.97/158.68 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.68 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.68 => 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)) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_diff__divide__eq__iff,axiom, % 158.97/158.68 ! [V_y,V_x,V_z,T_a] : % 158.97/158.68 ( class_Fields_Ofield(T_a) % 158.97/158.68 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.68 => 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) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_divide__diff__eq__iff,axiom, % 158.97/158.68 ! [V_y,V_x,V_z,T_a] : % 158.97/158.68 ( class_Fields_Ofield(T_a) % 158.97/158.68 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.68 => 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) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_diff__frac__eq,axiom, % 158.97/158.68 ! [V_w,V_x,V_z,V_y,T_a] : % 158.97/158.68 ( class_Fields_Ofield(T_a) % 158.97/158.68 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.68 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.68 => 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)) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_gt__half__sum,axiom, % 158.97/158.68 ! [V_b,V_a,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.97/158.68 => 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)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_less__half__sum,axiom, % 158.97/158.68 ! [V_b,V_a,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 158.97/158.68 => 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))))) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_divide__left__mono__neg,axiom, % 158.97/158.68 ! [V_c,V_b,V_a,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.68 => ( 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))) % 158.97/158.68 => 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))) ) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_divide__left__mono,axiom, % 158.97/158.68 ! [V_c,V_a,V_b,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 158.97/158.68 => ( 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))) % 158.97/158.68 => 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))) ) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_neg__divide__le__eq,axiom, % 158.97/158.68 ! [V_a_2,V_b_2,V_ca_2,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2)) % 158.97/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_neg__le__divide__eq,axiom, % 158.97/158.68 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2))) % 158.97/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_mult__imp__le__div__pos,axiom, % 158.97/158.68 ! [V_x,V_z,V_y,T_a] : % 158.97/158.68 ( class_Fields_Olinordered__field(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 158.97/158.68 => ( 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)) % 158.97/158.68 => 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))) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_nat__aux__def,axiom, % 158.97/158.68 ! [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) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom, % 158.97/158.68 ! [V_B_2,V_A_2] : % 158.97/158.68 ( c_Nat__Transfer_Onat__set(V_A_2) % 158.97/158.68 => ( c_Nat__Transfer_Onat__set(V_B_2) % 158.97/158.68 => 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))) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom, % 158.97/158.68 ! [V_B_2,V_A_2] : % 158.97/158.68 ( c_Nat__Transfer_Onat__set(V_A_2) % 158.97/158.68 => ( c_Nat__Transfer_Onat__set(V_B_2) % 158.97/158.68 => 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))) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_transfer__morphism__nat__int,axiom, % 158.97/158.68 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))) ). % 158.97/158.68 % 158.97/158.68 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom, % 158.97/158.68 ! [V_f_2,V_A_2,T_a] : % 158.97/158.68 ( ( class_Groups_Ocomm__monoid__add(T_a) % 158.97/158.68 & class_Groups_Ocomm__monoid__mult(T_a) ) % 158.97/158.68 => ( c_Nat__Transfer_Onat__set(V_A_2) % 158.97/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,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)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom, % 158.97/158.68 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom, % 158.97/158.68 ! [V_B_2,V_A_2] : % 158.97/158.68 ( c_Nat__Transfer_Onat__set(V_A_2) % 158.97/158.68 => ( c_Nat__Transfer_Onat__set(V_B_2) % 158.97/158.68 => 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)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom, % 158.97/158.68 ! [V_B_2,V_A_2] : % 158.97/158.68 ( c_Nat__Transfer_Onat__set(V_A_2) % 158.97/158.68 => ( c_Nat__Transfer_Onat__set(V_B_2) % 158.97/158.68 => 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)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_nat__set__def,axiom, % 158.97/158.68 ! [V_S_2] : % 158.97/158.68 ( c_Nat__Transfer_Onat__set(V_S_2) % 158.97/158.68 <=> ! [B_x] : % 158.97/158.68 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2)) % 158.97/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom, % 158.97/158.68 ! [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)) ). % 158.97/158.68 % 158.97/158.68 fof(fact_transfer__int__nat__set__relations_I3_J,axiom, % 158.97/158.68 ! [V_B_2,V_A_2] : % 158.97/158.68 ( c_Nat__Transfer_Onat__set(V_A_2) % 158.97/158.68 => ( c_Nat__Transfer_Onat__set(V_B_2) % 158.97/158.68 => ( V_A_2 = V_B_2 % 158.97/158.68 <=> 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) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom, % 158.97/158.68 ! [V_x_2,V_A_2] : % 158.97/158.68 ( c_Nat__Transfer_Onat__set(V_A_2) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 158.97/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom, % 158.97/158.68 ! [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))) ). % 158.97/158.68 % 158.97/158.68 fof(fact_transfer__nat__int__set__return__embed,axiom, % 158.97/158.68 ! [V_A_2] : % 158.97/158.68 ( c_Nat__Transfer_Onat__set(V_A_2) % 158.97/158.68 => 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 ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_transfer__int__nat__set__relations_I1_J,axiom, % 158.97/158.68 ! [V_A_2] : % 158.97/158.68 ( c_Nat__Transfer_Onat__set(V_A_2) % 158.97/158.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2)) % 158.97/158.68 <=> 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))) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom, % 158.97/158.68 ! [V_A_2] : % 158.97/158.68 ( c_Nat__Transfer_Onat__set(V_A_2) % 158.97/158.68 => 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)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_transfer__int__nat__set__relations_I5_J,axiom, % 158.97/158.68 ! [V_B_2,V_A_2] : % 158.97/158.68 ( c_Nat__Transfer_Onat__set(V_A_2) % 158.97/158.68 => ( c_Nat__Transfer_Onat__set(V_B_2) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.97/158.68 <=> 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))) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_transfer__int__nat__set__relations_I4_J,axiom, % 158.97/158.68 ! [V_B_2,V_A_2] : % 158.97/158.68 ( c_Nat__Transfer_Onat__set(V_A_2) % 158.97/158.68 => ( c_Nat__Transfer_Onat__set(V_B_2) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.97/158.68 <=> 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))) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom, % 158.97/158.68 ! [V_f_2,V_A_2,T_a] : % 158.97/158.68 ( ( class_Groups_Ocomm__monoid__add(T_a) % 158.97/158.68 & class_Groups_Ocomm__monoid__mult(T_a) ) % 158.97/158.68 => ( c_Nat__Transfer_Onat__set(V_A_2) % 158.97/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,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)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_setprod__Un,axiom, % 158.97/158.68 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] : % 158.97/158.68 ( class_Fields_Ofield(T_b) % 158.97/158.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.97/158.68 => ( ! [B_x] : % 158.97/158.68 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.97/158.68 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_b) ) % 158.97/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_transfer__int__nat__set__relations_I2_J,axiom, % 158.97/158.68 ! [V_A_2,V_x_2] : % 158.97/158.68 ( c_Nat__Transfer_Ois__nat(V_x_2) % 158.97/158.68 => ( c_Nat__Transfer_Onat__set(V_A_2) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 158.97/158.68 <=> 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))) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__of__nat,axiom, % 158.97/158.68 ! [V_k,T_a] : % 158.97/158.68 ( class_Rings_Oring__1(T_a) % 158.97/158.68 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.97/158.68 => 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)))) ) % 158.97/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.97/158.68 => 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)) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_setsum__nonneg__leq__bound,axiom, % 158.97/158.68 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_a,T_b] : % 158.97/158.68 ( class_Groups_Oordered__ab__group__add(T_b) % 158.97/158.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2)) % 158.97/158.68 => ( ! [B_i] : % 158.97/158.68 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_s_2)) % 158.97/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_i))) ) % 158.97/158.68 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_s_2) = V_B_2 % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_s_2)) % 158.97/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_setsum__nonneg__0,axiom, % 158.97/158.68 ! [V_i_2,V_f_2,V_s_2,T_a,T_b] : % 158.97/158.68 ( class_Groups_Oordered__ab__group__add(T_b) % 158.97/158.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2)) % 158.97/158.68 => ( ! [B_i] : % 158.97/158.68 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_s_2)) % 158.97/158.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_i))) ) % 158.97/158.68 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_b) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_s_2)) % 158.97/158.68 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__eq__iff,axiom, % 158.97/158.68 ! [V_z_2,V_w_2,T_a] : % 158.97/158.68 ( class_Int_Oring__char__0(T_a) % 158.97/158.68 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2) % 158.97/158.68 <=> V_w_2 = V_z_2 ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__int__eq,axiom, % 158.97/158.68 ! [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) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom, % 158.97/158.68 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom, % 158.97/158.68 ! [V_y,V_x] : % 158.97/158.68 ( c_Nat__Transfer_Ois__nat(V_x) % 158.97/158.68 => ( c_Nat__Transfer_Ois__nat(V_y) % 158.97/158.68 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom, % 158.97/158.68 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom, % 158.97/158.68 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom, % 158.97/158.68 ! [V_y,V_x] : % 158.97/158.68 ( c_Nat__Transfer_Ois__nat(V_x) % 158.97/158.68 => ( c_Nat__Transfer_Ois__nat(V_y) % 158.97/158.68 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom, % 158.97/158.68 ! [V_y,V_x] : % 158.97/158.68 ( c_Nat__Transfer_Ois__nat(V_x) % 158.97/158.68 => ( c_Nat__Transfer_Ois__nat(V_y) % 158.97/158.68 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom, % 158.97/158.68 ! [V_n,V_x] : % 158.97/158.68 ( c_Nat__Transfer_Ois__nat(V_x) % 158.97/158.68 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom, % 158.97/158.68 ! [V_y,V_x] : % 158.97/158.68 ( c_Nat__Transfer_Ois__nat(V_x) % 158.97/158.68 => ( c_Nat__Transfer_Ois__nat(V_y) % 158.97/158.68 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__0,axiom, % 158.97/158.68 ! [T_a] : % 158.97/158.68 ( class_Rings_Oring__1(T_a) % 158.97/158.68 => 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) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__0__eq__iff,axiom, % 158.97/158.68 ! [V_z_2,T_a] : % 158.97/158.68 ( class_Int_Oring__char__0(T_a) % 158.97/158.68 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2) % 158.97/158.68 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__eq__0__iff,axiom, % 158.97/158.68 ! [V_z_2,T_a] : % 158.97/158.68 ( class_Int_Oring__char__0(T_a) % 158.97/158.68 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2) = c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.68 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__le__iff,axiom, % 158.97/158.68 ! [V_z_2,V_w_2,T_a] : % 158.97/158.68 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2))) % 158.97/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__less__iff,axiom, % 158.97/158.68 ! [V_z_2,V_w_2,T_a] : % 158.97/158.68 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2))) % 158.97/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__add,axiom, % 158.97/158.68 ! [V_z,V_w,T_a] : % 158.97/158.68 ( class_Rings_Oring__1(T_a) % 158.97/158.68 => 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)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__mult,axiom, % 158.97/158.68 ! [V_z,V_w,T_a] : % 158.97/158.68 ( class_Rings_Oring__1(T_a) % 158.97/158.68 => 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)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__1,axiom, % 158.97/158.68 ! [T_a] : % 158.97/158.68 ( class_Rings_Oring__1(T_a) % 158.97/158.68 => 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) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__diff,axiom, % 158.97/158.68 ! [V_z,V_w,T_a] : % 158.97/158.68 ( class_Rings_Oring__1(T_a) % 158.97/158.68 => 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)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__of__nat__eq,axiom, % 158.97/158.68 ! [V_n,T_a] : % 158.97/158.68 ( class_Rings_Oring__1(T_a) % 158.97/158.68 => 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) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__minus,axiom, % 158.97/158.68 ! [V_z,T_a] : % 158.97/158.68 ( class_Rings_Oring__1(T_a) % 158.97/158.68 => 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)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Ints__of__int,axiom, % 158.97/158.68 ! [V_z_2,T_a] : % 158.97/158.68 ( class_Rings_Oring__1(T_a) % 158.97/158.68 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Int_Oring__1__class_OInts(T_a))) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__power,axiom, % 158.97/158.68 ! [V_n,V_z,T_a] : % 158.97/158.68 ( class_Rings_Oring__1(T_a) % 158.97/158.68 => 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) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_is__nat__def,axiom, % 158.97/158.68 ! [V_x_2] : % 158.97/158.68 ( c_Nat__Transfer_Ois__nat(V_x_2) % 158.97/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__setsum,axiom, % 158.97/158.68 ! [V_A_2,V_f_2,T_b,T_a] : % 158.97/158.68 ( class_Rings_Oring__1(T_a) % 158.97/158.68 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,T_b),c_Int_Oring__1__class_Oof__int(T_a)),V_f_2)),V_A_2) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom, % 158.97/158.68 ! [V_x_2,V_A_2] : % 158.97/158.68 ( c_Nat__Transfer_Onat__set(V_A_2) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 158.97/158.68 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__setprod,axiom, % 158.97/158.68 ! [V_A_2,V_f_2,T_b,T_a] : % 158.97/158.68 ( ( class_Groups_Ocomm__monoid__mult(T_a) % 158.97/158.68 & class_Rings_Oring__1(T_a) ) % 158.97/158.68 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,T_b),c_Int_Oring__1__class_Oof__int(T_a)),V_f_2)),V_A_2) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__0__le__iff,axiom, % 158.97/158.68 ! [V_z_2,T_a] : % 158.97/158.68 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2))) % 158.97/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__le__0__iff,axiom, % 158.97/158.68 ! [V_z_2,T_a] : % 158.97/158.68 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__0__less__iff,axiom, % 158.97/158.68 ! [V_z_2,T_a] : % 158.97/158.68 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2))) % 158.97/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__int__less__0__iff,axiom, % 158.97/158.68 ! [V_z_2,T_a] : % 158.97/158.68 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_of__nat__nat,axiom, % 158.97/158.68 ! [V_z,T_a] : % 158.97/158.68 ( class_Rings_Oring__1(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 158.97/158.68 => 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) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom, % 158.97/158.68 ! [V_f_2,V_A_2,T_a] : % 158.97/158.68 ( ! [B_x] : % 158.97/158.68 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.97/158.68 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 158.97/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,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_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_a),c_Int_Onat),V_f_2)),V_A_2)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom, % 158.97/158.68 ! [V_f_2,V_A_2,T_a] : % 158.97/158.68 ( ! [B_x] : % 158.97/158.68 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.97/158.68 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 158.97/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,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_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_a),c_Int_Onat),V_f_2)),V_A_2)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_greaterThan__0,axiom, % 158.97/158.68 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))) ). % 158.97/158.68 % 158.97/158.68 fof(fact_sum__diff__distrib,axiom, % 158.97/158.68 ! [V_n_2,V_P_2,V_Q_2] : % 158.97/158.68 ( ! [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))) % 158.97/158.68 => 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)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_setsum__natinterval__difff,axiom, % 158.97/158.68 ! [V_f_2,V_n_2,V_m_2,T_a] : % 158.97/158.68 ( class_Groups_Oab__group__add(T_a) % 158.97/158.68 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 158.97/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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_a),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)))) ) % 158.97/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 158.97/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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_a) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_finite__atLeastAtMost,axiom, % 158.97/158.68 ! [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))) ). % 158.97/158.68 % 158.97/158.68 fof(fact_greaterThan__eq__iff,axiom, % 158.97/158.68 ! [V_y_2,V_x_2,T_a] : % 158.97/158.68 ( class_Orderings_Olinorder(T_a) % 158.97/158.68 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_y_2) % 158.97/158.68 <=> V_x_2 = V_y_2 ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ivl__disj__int_I7_J,axiom, % 158.97/158.68 ! [V_u_2,V_l_2,T_a] : % 158.97/158.68 ( class_Orderings_Oorder(T_a) % 158.97/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ex__nat__less,axiom, % 158.97/158.68 ! [V_P_2,V_n_2] : % 158.97/158.68 ( ? [B_m] : % 158.97/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 158.97/158.68 & hBOOL(hAPP(V_P_2,B_m)) ) % 158.97/158.68 <=> ? [B_x] : % 158.97/158.68 ( 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))) % 158.97/158.68 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_all__nat__less,axiom, % 158.97/158.68 ! [V_P_2,V_n_2] : % 158.97/158.68 ( ! [B_m] : % 158.97/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 158.97/158.68 => hBOOL(hAPP(V_P_2,B_m)) ) % 158.97/158.68 <=> ! [B_x] : % 158.97/158.68 ( 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))) % 158.97/158.68 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom, % 158.97/158.68 ! [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) ). % 158.97/158.68 % 158.97/158.68 fof(fact_atLeastatMost__empty__iff2,axiom, % 158.97/158.68 ! [V_b_2,V_a_2,T_a] : % 158.97/158.68 ( class_Orderings_Oorder(T_a) % 158.97/158.68 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) % 158.97/158.68 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_atLeastatMost__empty__iff,axiom, % 158.97/158.68 ! [V_b_2,V_a_2,T_a] : % 158.97/158.68 ( class_Orderings_Oorder(T_a) % 158.97/158.68 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.68 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_atLeastatMost__empty,axiom, % 158.97/158.68 ! [V_a_2,V_b_2,T_a] : % 158.97/158.68 ( class_Orderings_Oorder(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) % 158.97/158.68 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_atLeastatMost__subset__iff,axiom, % 158.97/158.68 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 158.97/158.68 ( class_Orderings_Oorder(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2))) % 158.97/158.68 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) % 158.97/158.68 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_a_2)) % 158.97/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2)) ) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_atLeastAtMost__singleton,axiom, % 158.97/158.68 ! [V_a_2,T_a] : % 158.97/158.68 ( class_Orderings_Oorder(T_a) % 158.97/158.68 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_atLeastAtMost__singleton__iff,axiom, % 158.97/158.68 ! [V_ca_2,V_b_2,V_a_2,T_a] : % 158.97/158.68 ( class_Orderings_Oorder(T_a) % 158.97/158.68 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) % 158.97/158.68 <=> ( V_a_2 = V_b_2 % 158.97/158.68 & V_b_2 = V_ca_2 ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_atLeastAtMost__singleton_H,axiom, % 158.97/158.68 ! [V_b_2,V_a_2,T_a] : % 158.97/158.68 ( class_Orderings_Oorder(T_a) % 158.97/158.68 => ( V_a_2 = V_b_2 % 158.97/158.68 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_image__uminus__atLeastAtMost,axiom, % 158.97/158.68 ! [V_y_2,V_x_2,T_a] : % 158.97/158.68 ( class_Groups_Oordered__ab__group__add(T_a) % 158.97/158.68 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_image__Suc__atLeastAtMost,axiom, % 158.97/158.68 ! [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)) ). % 158.97/158.68 % 158.97/158.68 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom, % 158.97/158.68 ! [V_n_2,V_m_2,V_f_2,T_a] : % 158.97/158.68 ( class_Groups_Ocomm__monoid__add(T_a) % 158.97/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom, % 158.97/158.68 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_a] : % 158.97/158.68 ( class_Groups_Ocomm__monoid__add(T_a) % 158.97/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom, % 158.97/158.68 ! [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) ). % 158.97/158.68 % 158.97/158.68 fof(fact_image__add__atLeastAtMost,axiom, % 158.97/158.68 ! [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)) ). % 158.97/158.68 % 158.97/158.68 fof(fact_greaterThan__iff,axiom, % 158.97/158.68 ! [V_k_2,V_i_2,T_a] : % 158.97/158.68 ( class_Orderings_Oord(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2))) % 158.97/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_i_2)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_greaterThan__subset__iff,axiom, % 158.97/158.68 ! [V_y_2,V_x_2,T_a] : % 158.97/158.68 ( class_Orderings_Olinorder(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_y_2))) % 158.97/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_card__atLeastAtMost,axiom, % 158.97/158.68 ! [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) ). % 158.97/158.68 % 158.97/158.68 fof(fact_atLeastAtMostSuc__conv,axiom, % 158.97/158.68 ! [V_n_2,V_m_2] : % 158.97/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 158.97/158.68 => 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)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_setsum__shift__lb__Suc0__0,axiom, % 158.97/158.68 ! [V_k_2,V_f_2] : % 158.97/158.68 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.97/158.68 => 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)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ivl__disj__un_I21_J,axiom, % 158.97/158.68 ! [V_u_2,V_m_2,V_l_2,T_a] : % 158.97/158.68 ( class_Orderings_Olinorder(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2)) % 158.97/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ivl__disj__int_I15_J,axiom, % 158.97/158.68 ! [V_u_2,V_m_2,V_l_2,T_a] : % 158.97/158.68 ( class_Orderings_Oorder(T_a) % 158.97/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_atLeastatMost__psubset__iff,axiom, % 158.97/158.68 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 158.97/158.68 ( class_Orderings_Oorder(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2))) % 158.97/158.68 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) % 158.97/158.68 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_a_2)) % 158.97/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2)) % 158.97/158.68 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_a_2)) % 158.97/158.68 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_d_2)) ) ) ) % 158.97/158.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_d_2)) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ivl__disj__un_I22_J,axiom, % 158.97/158.68 ! [V_u_2,V_m_2,V_l_2,T_a] : % 158.97/158.68 ( class_Orderings_Olinorder(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2)) % 158.97/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ivl__disj__int_I4_J,axiom, % 158.97/158.68 ! [V_u_2,V_l_2,T_a] : % 158.97/158.68 ( class_Orderings_Oorder(T_a) % 158.97/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ivl__disj__int_I16_J,axiom, % 158.97/158.68 ! [V_u_2,V_m_2,V_l_2,T_a] : % 158.97/158.68 ( class_Orderings_Oorder(T_a) % 158.97/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ivl__disj__int_I12_J,axiom, % 158.97/158.68 ! [V_u_2,V_m_2,V_l_2,T_a] : % 158.97/158.68 ( class_Orderings_Oorder(T_a) % 158.97/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ivl__disj__int_I13_J,axiom, % 158.97/158.68 ! [V_u_2,V_m_2,V_l_2,T_a] : % 158.97/158.68 ( class_Orderings_Oorder(T_a) % 158.97/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_setsum__head__Suc,axiom, % 158.97/158.68 ! [V_f_2,V_n_2,V_m_2,T_a] : % 158.97/158.68 ( class_Groups_Ocomm__monoid__add(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 158.97/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ivl__disj__un_I11_J,axiom, % 158.97/158.68 ! [V_u_2,V_l_2,T_a] : % 158.97/158.68 ( class_Orderings_Olinorder(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2)) % 158.97/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_image__uminus__greaterThan,axiom, % 158.97/158.68 ! [V_x_2,T_a] : % 158.97/158.68 ( class_Groups_Oordered__ab__group__add(T_a) % 158.97/158.68 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_image__uminus__lessThan,axiom, % 158.97/158.68 ! [V_x_2,T_a] : % 158.97/158.68 ( class_Groups_Oordered__ab__group__add(T_a) % 158.97/158.68 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ivl__disj__int_I5_J,axiom, % 158.97/158.68 ! [V_u_2,V_l_2,T_a] : % 158.97/158.68 ( class_Orderings_Oorder(T_a) % 158.97/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_greaterThan__Suc,axiom, % 158.97/158.68 ! [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)))) ). % 158.97/158.68 % 158.97/158.68 fof(fact_setsum__cl__ivl__Suc,axiom, % 158.97/158.68 ! [V_f_2,V_m_2,V_n_2,T_a] : % 158.97/158.68 ( class_Groups_Ocomm__monoid__add(T_a) % 158.97/158.68 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 158.97/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a) ) % 158.97/158.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 158.97/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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))) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_setsum__head,axiom, % 158.97/158.68 ! [V_P_2,V_n_2,V_m_2,T_a] : % 158.97/158.68 ( class_Groups_Ocomm__monoid__add(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 158.97/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(V_P_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_P_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_setsum__ub__add__nat,axiom, % 158.97/158.68 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_a] : % 158.97/158.68 ( class_Groups_Ocomm__monoid__add(T_a) % 158.97/158.68 => ( 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)))) % 158.97/158.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),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)))) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ivl__disj__un_I6_J,axiom, % 158.97/158.68 ! [V_u_2,V_l_2,T_a] : % 158.97/158.68 ( class_Orderings_Olinorder(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2)) % 158.97/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ivl__disj__un_I5_J,axiom, % 158.97/158.68 ! [V_u_2,V_l_2,T_a] : % 158.97/158.68 ( class_Orderings_Olinorder(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2)) % 158.97/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ivl__disj__un_I18_J,axiom, % 158.97/158.68 ! [V_u_2,V_m_2,V_l_2,T_a] : % 158.97/158.68 ( class_Orderings_Olinorder(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_u_2)) % 158.97/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ivl__disj__un_I19_J,axiom, % 158.97/158.68 ! [V_u_2,V_m_2,V_l_2,T_a] : % 158.97/158.68 ( class_Orderings_Olinorder(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_m_2)) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2)) % 158.97/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_gauss__sum,axiom, % 158.97/158.68 ! [V_n_2,T_a] : % 158.97/158.68 ( class_Rings_Ocomm__semiring__1(T_a) % 158.97/158.68 => 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(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),c_Nat_Osemiring__1__class_Oof__nat(T_a)),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_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Groups_Oone__class_Oone(T_a))) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ivl__disj__un_I12_J,axiom, % 158.97/158.68 ! [V_u_2,V_l_2,T_a] : % 158.97/158.68 ( class_Orderings_Olinorder(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2)) % 158.97/158.68 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_decr__mult__lemma,axiom, % 158.97/158.68 ! [V_k_2,V_P_2,V_d_2] : % 158.97/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 158.97/158.68 => ( ! [B_x] : % 158.97/158.68 ( hBOOL(hAPP(V_P_2,B_x)) % 158.97/158.68 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) ) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 158.97/158.68 => ! [B_x] : % 158.97/158.68 ( hBOOL(hAPP(V_P_2,B_x)) % 158.97/158.68 => 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)))) ) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_negD,axiom, % 158.97/158.68 ! [V_x] : % 158.97/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.97/158.68 => ? [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))) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_incr__mult__lemma,axiom, % 158.97/158.68 ! [V_k_2,V_P_2,V_d_2] : % 158.97/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 158.97/158.68 => ( ! [B_x] : % 158.97/158.68 ( hBOOL(hAPP(V_P_2,B_x)) % 158.97/158.68 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) ) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 158.97/158.68 => ! [B_x] : % 158.97/158.68 ( hBOOL(hAPP(V_P_2,B_x)) % 158.97/158.68 => 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)))) ) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_ex__least__nat__less,axiom, % 158.97/158.68 ! [V_n_2,V_P_2] : % 158.97/158.68 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 158.97/158.68 => ( hBOOL(hAPP(V_P_2,V_n_2)) % 158.97/158.68 => ? [B_k] : % 158.97/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2)) % 158.97/158.68 & ! [B_i] : % 158.97/158.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k)) % 158.97/158.68 => ~ hBOOL(hAPP(V_P_2,B_i)) ) % 158.97/158.68 & 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)))) ) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_finite__atLeastAtMost__int,axiom, % 158.97/158.68 ! [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))) ). % 158.97/158.68 % 158.97/158.68 fof(fact_atLeast__eq__iff,axiom, % 158.97/158.68 ! [V_y_2,V_x_2,T_a] : % 158.97/158.68 ( class_Orderings_Olinorder(T_a) % 158.97/158.68 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_y_2) % 158.97/158.68 <=> V_x_2 = V_y_2 ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom, % 158.97/158.68 ! [V_y_2,V_x_2] : % 158.97/158.68 ( c_Nat__Transfer_Ois__nat(V_x_2) % 158.97/158.68 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_atLeast__iff,axiom, % 158.97/158.68 ! [V_k_2,V_i_2,T_a] : % 158.97/158.68 ( class_Orderings_Oord(T_a) % 158.97/158.68 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2))) % 158.97/158.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_k_2),V_i_2)) ) ) ). % 158.97/158.68 % 158.97/158.68 fof(fact_atLeast__subset__iff,axiom, % 158.97/158.68 ! [V_y_2,V_x_2,T_a] : % 158.97/158.69 ( class_Orderings_Oorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_y_2))) % 158.97/158.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_atLeast__0,axiom, % 158.97/158.69 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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom, % 158.97/158.69 ! [V_y_2,V_x_2] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 158.97/158.69 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Compl__atLeast,axiom, % 158.97/158.69 ! [V_k_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Compl__lessThan,axiom, % 158.97/158.69 ! [V_k_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_atLeast__Suc__greaterThan,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom, % 158.97/158.69 ! [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))) ). % 158.97/158.69 % 158.97/158.69 fof(fact_ivl__disj__un_I14_J,axiom, % 158.97/158.69 ! [V_u_2,V_l_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2)) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_simp__from__to,axiom, % 158.97/158.69 ! [V_i_2,V_j_2] : % 158.97/158.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 158.97/158.69 => 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)) ) % 158.97/158.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 158.97/158.69 => 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)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_ivl__disj__int_I8_J,axiom, % 158.97/158.69 ! [V_u_2,V_l_2,T_a] : % 158.97/158.69 ( class_Orderings_Oorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_ivl__disj__int_I6_J,axiom, % 158.97/158.69 ! [V_u_2,V_l_2,T_a] : % 158.97/158.69 ( class_Orderings_Oorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_atLeast__Suc,axiom, % 158.97/158.69 ! [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)))) ). % 158.97/158.69 % 158.97/158.69 fof(fact_card__atLeastAtMost__int,axiom, % 158.97/158.69 ! [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))) ). % 158.97/158.69 % 158.97/158.69 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom, % 158.97/158.69 ! [V_n_2,V_m_2] : % 158.97/158.69 ( c_Nat__Transfer_Ois__nat(V_m_2) % 158.97/158.69 => ( c_Nat__Transfer_Ois__nat(V_n_2) % 158.97/158.69 => 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))) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_ivl__disj__un_I1_J,axiom, % 158.97/158.69 ! [V_l_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_ivl__disj__un_I13_J,axiom, % 158.97/158.69 ! [V_u_2,V_l_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2)) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_bset_I8_J,axiom, % 158.97/158.69 ! [V_B_2,V_t_2,V_D_2] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 158.97/158.69 => ( 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)) % 158.97/158.69 => ! [B_x] : % 158.97/158.69 ( ! [B_xa] : % 158.97/158.69 ( 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))) % 158.97/158.69 => ! [B_xb] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 158.97/158.69 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 158.97/158.69 => 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))) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_aset_I6_J,axiom, % 158.97/158.69 ! [V_A_2,V_t_2,V_D_2] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 158.97/158.69 => ( 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)) % 158.97/158.69 => ! [B_x] : % 158.97/158.69 ( ! [B_xa] : % 158.97/158.69 ( 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))) % 158.97/158.69 => ! [B_xb] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 158.97/158.69 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 158.97/158.69 => 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)) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_aset_I4_J,axiom, % 158.97/158.69 ! [V_A_2,V_t_2,V_D_2] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 158.97/158.69 => ! [B_x] : % 158.97/158.69 ( ! [B_xa] : % 158.97/158.69 ( 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))) % 158.97/158.69 => ! [B_xb] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 158.97/158.69 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 158.97/158.69 => ( B_x != V_t_2 % 158.97/158.69 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_bset_I4_J,axiom, % 158.97/158.69 ! [V_B_2,V_t_2,V_D_2] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 158.97/158.69 => ! [B_x] : % 158.97/158.69 ( ! [B_xa] : % 158.97/158.69 ( 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))) % 158.97/158.69 => ! [B_xb] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 158.97/158.69 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 158.97/158.69 => ( B_x != V_t_2 % 158.97/158.69 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_bset_I7_J,axiom, % 158.97/158.69 ! [V_B_2,V_t_2,V_D_2] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 158.97/158.69 => ! [B_x] : % 158.97/158.69 ( ! [B_xa] : % 158.97/158.69 ( 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))) % 158.97/158.69 => ! [B_xb] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 158.97/158.69 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 158.97/158.69 => 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))) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_bset_I3_J,axiom, % 158.97/158.69 ! [V_B_2,V_t_2,V_D_2] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 158.97/158.69 => ( 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)) % 158.97/158.69 => ( ! [B_x] : % 158.97/158.69 ( 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))) % 158.97/158.69 => ! [B_xa] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2)) % 158.97/158.69 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) ) % 158.97/158.69 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_aset_I3_J,axiom, % 158.97/158.69 ! [V_A_2,V_t_2,V_D_2] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 158.97/158.69 => ( 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)) % 158.97/158.69 => ( ! [B_x] : % 158.97/158.69 ( 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))) % 158.97/158.69 => ! [B_xa] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2)) % 158.97/158.69 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) ) % 158.97/158.69 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_aset_I5_J,axiom, % 158.97/158.69 ! [V_A_2,V_t_2,V_D_2] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 158.97/158.69 => ! [B_x] : % 158.97/158.69 ( ! [B_xa] : % 158.97/158.69 ( 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))) % 158.97/158.69 => ! [B_xb] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 158.97/158.69 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 158.97/158.69 => 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)) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_bset_I6_J,axiom, % 158.97/158.69 ! [V_t_2,V_B_2,V_D_2] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 158.97/158.69 => ! [B_x] : % 158.97/158.69 ( ! [B_xa] : % 158.97/158.69 ( 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))) % 158.97/158.69 => ! [B_xb] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 158.97/158.69 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 158.97/158.69 => 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)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_aset_I8_J,axiom, % 158.97/158.69 ! [V_t_2,V_A_2,V_D_2] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 158.97/158.69 => ! [B_x] : % 158.97/158.69 ( ! [B_xa] : % 158.97/158.69 ( 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))) % 158.97/158.69 => ! [B_xb] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 158.97/158.69 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 158.97/158.69 => 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))) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_periodic__finite__ex,axiom, % 158.97/158.69 ! [V_P_2,V_d_2] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 158.97/158.69 => ( ! [B_x,B_k] : % 158.97/158.69 ( hBOOL(hAPP(V_P_2,B_x)) % 158.97/158.69 <=> 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)))) ) % 158.97/158.69 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 158.97/158.69 <=> ? [B_x] : % 158.97/158.69 ( 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))) % 158.97/158.69 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_aset_I7_J,axiom, % 158.97/158.69 ! [V_t_2,V_A_2,V_D_2] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 158.97/158.69 => ! [B_x] : % 158.97/158.69 ( ! [B_xa] : % 158.97/158.69 ( 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))) % 158.97/158.69 => ! [B_xb] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 158.97/158.69 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 158.97/158.69 => 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))) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_bset_I5_J,axiom, % 158.97/158.69 ! [V_t_2,V_B_2,V_D_2] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 158.97/158.69 => ! [B_x] : % 158.97/158.69 ( ! [B_xa] : % 158.97/158.69 ( 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))) % 158.97/158.69 => ! [B_xb] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 158.97/158.69 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 158.97/158.69 => 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)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom, % 158.97/158.69 ! [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))) ). % 158.97/158.69 % 158.97/158.69 fof(fact_strong__setprod__reindex__cong,axiom, % 158.97/158.69 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] : % 158.97/158.69 ( class_Groups_Ocomm__monoid__mult(T_c) % 158.97/158.69 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 158.97/158.69 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) % 158.97/158.69 => ( ! [B_x] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.97/158.69 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2),B_x) ) % 158.97/158.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_finite__atMost,axiom, % 158.97/158.69 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ). % 158.97/158.69 % 158.97/158.69 fof(fact_atMost__eq__iff,axiom, % 158.97/158.69 ! [V_y_2,V_x_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_y_2) % 158.97/158.69 <=> V_x_2 = V_y_2 ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_atLeast0AtMost,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_lessThan__Suc__atMost,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_card__atMost,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_atMost__Suc,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_atMost__iff,axiom, % 158.97/158.69 ! [V_k_2,V_i_2,T_a] : % 158.97/158.69 ( class_Orderings_Oord(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2))) % 158.97/158.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_i_2),V_k_2)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_atMost__subset__iff,axiom, % 158.97/158.69 ! [V_y_2,V_x_2,T_a] : % 158.97/158.69 ( class_Orderings_Oorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_y_2))) % 158.97/158.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Compl__greaterThan,axiom, % 158.97/158.69 ! [V_k_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Compl__atMost,axiom, % 158.97/158.69 ! [V_k_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_setsum__atMost__Suc,axiom, % 158.97/158.69 ! [V_n_2,V_f_2,T_a] : % 158.97/158.69 ( class_Groups_Ocomm__monoid__add(T_a) % 158.97/158.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_atMost__0,axiom, % 158.97/158.69 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))) ). % 158.97/158.69 % 158.97/158.69 fof(fact_ivl__disj__un_I9_J,axiom, % 158.97/158.69 ! [V_u_2,V_l_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2)) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_ivl__disj__int_I3_J,axiom, % 158.97/158.69 ! [V_u_2,V_l_2,T_a] : % 158.97/158.69 ( class_Orderings_Oorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_ivl__disj__int_I1_J,axiom, % 158.97/158.69 ! [V_u_2,V_l_2,T_a] : % 158.97/158.69 ( class_Orderings_Oorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_image__uminus__atLeast,axiom, % 158.97/158.69 ! [V_x_2,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add(T_a) % 158.97/158.69 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_image__uminus__atMost,axiom, % 158.97/158.69 ! [V_x_2,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add(T_a) % 158.97/158.69 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_ivl__disj__un_I2_J,axiom, % 158.97/158.69 ! [V_u_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_ivl__disj__un_I10_J,axiom, % 158.97/158.69 ! [V_u_2,V_l_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2)) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_atMost__Int__atLeast,axiom, % 158.97/158.69 ! [V_n_2,T_a] : % 158.97/158.69 ( class_Orderings_Oorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_ivl__disj__un_I7_J,axiom, % 158.97/158.69 ! [V_u_2,V_l_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2)) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_setprod__mono__one__right,axiom, % 158.97/158.69 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] : % 158.97/158.69 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) % 158.97/158.69 => ( ! [B_x] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2))) % 158.97/158.69 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) ) % 158.97/158.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_setprod__mono__one__left,axiom, % 158.97/158.69 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] : % 158.97/158.69 ( class_Groups_Ocomm__monoid__mult(T_b) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) % 158.97/158.69 => ( ! [B_x] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2))) % 158.97/158.69 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) ) % 158.97/158.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zero__less__imp__eq__int,axiom, % 158.97/158.69 ! [V_k] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 158.97/158.69 => ? [B_n] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 158.97/158.69 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_setsum__mono__zero__right,axiom, % 158.97/158.69 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] : % 158.97/158.69 ( class_Groups_Ocomm__monoid__add(T_b) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) % 158.97/158.69 => ( ! [B_x] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2))) % 158.97/158.69 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) % 158.97/158.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_setsum__mono__zero__left,axiom, % 158.97/158.69 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] : % 158.97/158.69 ( class_Groups_Ocomm__monoid__add(T_b) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) % 158.97/158.69 => ( ! [B_x] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2))) % 158.97/158.69 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) % 158.97/158.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_card__Pow,axiom, % 158.97/158.69 ! [V_A_2,T_a] : % 158.97/158.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),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_a),V_A_2)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_field__le__mult__one__interval,axiom, % 158.97/158.69 ! [V_y,V_x,T_a] : % 158.97/158.69 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.97/158.69 => ( ! [B_z] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a))) % 158.97/158.69 => 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)) ) ) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom, % 158.97/158.69 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_a] : % 158.97/158.69 ( ( class_Groups_Ocomm__monoid__add(T_a) % 158.97/158.69 & class_Groups_Ocomm__monoid__mult(T_a) ) % 158.97/158.69 => ( V_A_2 = V_B_2 % 158.97/158.69 => ( c_Nat__Transfer_Onat__set(V_B_2) % 158.97/158.69 => ( ! [B_x] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 158.97/158.69 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 158.97/158.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_g_2),V_B_2) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_finite__conv__nat__seg__image,axiom, % 158.97/158.69 ! [V_A_2,T_a] : % 158.97/158.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_a,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))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_PowI,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Cantors__paradox,axiom, % 158.97/158.69 ! [V_A_2,T_a] : % 158.97/158.69 ~ ? [B_f] : hAPP(c_Set_Oimage(T_a,tc_fun(T_a,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_a),V_A_2) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Pow__not__empty,axiom, % 158.97/158.69 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Pow__top,axiom, % 158.97/158.69 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_A_2))) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Pow__bottom,axiom, % 158.97/158.69 ! [V_B_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_Set_OPow(T_a),V_B_2))) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Pow__empty,axiom, % 158.97/158.69 ! [T_a] : hAPP(c_Set_OPow(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Pow__insert,axiom, % 158.97/158.69 ! [V_A_2,V_a_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_a),V_a_2)),hAPP(c_Set_OPow(T_a),V_A_2))) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Pow__iff,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2))) % 158.97/158.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Pow__mono,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_PowD,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2))) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Pow__UNIV,axiom, % 158.97/158.69 ! [T_a] : hAPP(c_Set_OPow(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_image__Pow__surj,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,V_f_2,T_a,T_b] : % 158.97/158.69 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = V_B_2 % 158.97/158.69 => hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Set_Oimage(T_b,T_a,V_f_2)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(c_Set_OPow(T_a),V_B_2) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Un__Pow__subset,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2))),hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Pow__Int__eq,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_image__Pow__mono,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),V_B_2)) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Set_Oimage(T_b,T_a,V_f_2)),hAPP(c_Set_OPow(T_b),V_A_2))),hAPP(c_Set_OPow(T_a),V_B_2))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Pow__def,axiom, % 158.97/158.69 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_finite__Pow__iff,axiom, % 158.97/158.69 ! [V_A_2,T_a] : % 158.97/158.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2))) % 158.97/158.69 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Pow__Compl,axiom, % 158.97/158.69 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBS(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_a))))) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Powp__Pow__eq,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( hBOOL(hAPP(c_Predicate_OPowp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),V_x_2)) % 158.97/158.69 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_a),V_A_2))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_split__pos__lemma,axiom, % 158.97/158.69 ! [V_n_2,V_P_2,V_k_2] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 158.97/158.69 => ( 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))) % 158.97/158.69 <=> ! [B_i,B_j] : % 158.97/158.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 158.97/158.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 158.97/158.69 & 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) ) % 158.97/158.69 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_split__neg__lemma,axiom, % 158.97/158.69 ! [V_n_2,V_P_2,V_k_2] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.97/158.69 => ( 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))) % 158.97/158.69 <=> ! [B_i,B_j] : % 158.97/158.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 158.97/158.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.97/158.69 & 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) ) % 158.97/158.69 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_sgn__if,axiom, % 158.97/158.69 ! [V_x,T_a] : % 158.97/158.69 ( class_Groups_Osgn__if(T_a) % 158.97/158.69 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.69 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 158.97/158.69 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.69 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 158.97/158.69 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 158.97/158.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 158.97/158.69 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__0,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__by__0,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__self,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__mod__trivial,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_sgn__sgn,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__minus__cong,axiom, % 158.97/158.69 ! [V_a_H,V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Oring__div(T_a) % 158.97/158.69 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b) % 158.97/158.69 => 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) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__minus__eq,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Oring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__mult__right__eq,axiom, % 158.97/158.69 ! [V_c,V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__mult__left__eq,axiom, % 158.97/158.69 ! [V_c,V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__mult__eq,axiom, % 158.97/158.69 ! [V_c,V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__mult__mult1,axiom, % 158.97/158.69 ! [V_b,V_a,V_c,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__mult__mult2,axiom, % 158.97/158.69 ! [V_b,V_c,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__simps_I4_J,axiom, % 158.97/158.69 ! [V_b,V_c,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__mult__cong,axiom, % 158.97/158.69 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 158.97/158.69 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 158.97/158.69 => 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) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__add__self2,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__add__self1,axiom, % 158.97/158.69 ! [V_a,V_b,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__add__right__eq,axiom, % 158.97/158.69 ! [V_c,V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__add__left__eq,axiom, % 158.97/158.69 ! [V_c,V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__add__eq,axiom, % 158.97/158.69 ! [V_c,V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__simps_I2_J,axiom, % 158.97/158.69 ! [V_c,V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__simps_I1_J,axiom, % 158.97/158.69 ! [V_b,V_c,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__add__cong,axiom, % 158.97/158.69 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 158.97/158.69 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 158.97/158.69 => 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) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__zero,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__self,axiom, % 158.97/158.69 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__zminus2,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__zminus__zminus,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zminus__zmod,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__zmult1__eq,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__simps_I3_J,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zdiff__zmod__right,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zdiff__zmod__left,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__diff__cong,axiom, % 158.97/158.69 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 158.97/158.69 ( class_Divides_Oring__div(T_a) % 158.97/158.69 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 158.97/158.69 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 158.97/158.69 => 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) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__diff__eq,axiom, % 158.97/158.69 ! [V_c,V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Oring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__diff__left__eq,axiom, % 158.97/158.69 ! [V_c,V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Oring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__diff__right__eq,axiom, % 158.97/158.69 ! [V_c,V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Oring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom, % 158.97/158.69 ! [V_y,V_x] : % 158.97/158.69 ( c_Nat__Transfer_Ois__nat(V_x) % 158.97/158.69 => ( c_Nat__Transfer_Ois__nat(V_y) % 158.97/158.69 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zpower__zmod,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_sgn0,axiom, % 158.97/158.69 ! [T_a] : % 158.97/158.69 ( class_Groups_Osgn__if(T_a) % 158.97/158.69 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_sgn__0__0,axiom, % 158.97/158.69 ! [V_a_2,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.69 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_sgn__times,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__mult__self1__is__0,axiom, % 158.97/158.69 ! [V_a,V_b,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__mult__self2__is__0,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__mult__self1,axiom, % 158.97/158.69 ! [V_b,V_c,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__mult__self2,axiom, % 158.97/158.69 ! [V_c,V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__by__1,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__div__trivial,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom, % 158.97/158.69 ! [V_y,V_x] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 158.97/158.69 => 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))) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__le__nonneg__dividend,axiom, % 158.97/158.69 ! [V_k,V_m] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_pos__mod__bound,axiom, % 158.97/158.69 ! [V_a,V_b] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_neg__mod__bound,axiom, % 158.97/158.69 ! [V_a,V_b] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.97/158.69 => 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))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__eq__0__iff,axiom, % 158.97/158.69 ! [V_d_2,V_m_2] : % 158.97/158.69 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.97/158.69 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__zminus2__not__zero,axiom, % 158.97/158.69 ! [V_l,V_k] : % 158.97/158.69 ( 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) % 158.97/158.69 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__zminus1__not__zero,axiom, % 158.97/158.69 ! [V_l,V_k] : % 158.97/158.69 ( 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) % 158.97/158.69 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_DIVISION__BY__ZERO,axiom, % 158.97/158.69 ! [V_a] : % 158.97/158.69 ( 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) % 158.97/158.69 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__zdiv__trivial,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zdiv__zadd1__eq,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_div__mod__equality,axiom, % 158.97/158.69 ! [V_c,V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_div__mod__equality2,axiom, % 158.97/158.69 ! [V_c,V_a,V_b,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__div__equality,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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 ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__div__equality2,axiom, % 158.97/158.69 ! [V_a,V_b,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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 ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_semiring__div__class_Omod__div__equality_H,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Divides_Osemiring__div(T_a) % 158.97/158.69 => 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 ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_pos__mod__sign,axiom, % 158.97/158.69 ! [V_a,V_b] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 158.97/158.69 => 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))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_pos__mod__conj,axiom, % 158.97/158.69 ! [V_a,V_b] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 158.97/158.69 => ( 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))) % 158.97/158.69 & 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)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__pos__pos__trivial,axiom, % 158.97/158.69 ! [V_b,V_a] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 158.97/158.69 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_neg__mod__sign,axiom, % 158.97/158.69 ! [V_a,V_b] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.97/158.69 => 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))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_neg__mod__conj,axiom, % 158.97/158.69 ! [V_a,V_b] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.97/158.69 => ( 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))) % 158.97/158.69 & 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))) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__neg__neg__trivial,axiom, % 158.97/158.69 ! [V_b,V_a] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 158.97/158.69 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_sgn__less,axiom, % 158.97/158.69 ! [V_a_2,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_sgn__greater,axiom, % 158.97/158.69 ! [V_a_2,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Osgn__class_Osgn(T_a,V_a_2))) % 158.97/158.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__zminus1__eq__if,axiom, % 158.97/158.69 ! [V_b,V_a] : % 158.97/158.69 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.97/158.69 => 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) ) % 158.97/158.69 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.97/158.69 => 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)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__zminus2__eq__if,axiom, % 158.97/158.69 ! [V_b,V_a] : % 158.97/158.69 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.97/158.69 => 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) ) % 158.97/158.69 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.97/158.69 => 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) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zdiv__zmod__equality2,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zdiv__zmod__equality,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zdiv__zmult1__eq,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__zdiv__equality,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__zdiv__equality_H,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmult__div__cancel,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Powp__mono,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_a,V_A_2)),c_Predicate_OPowp(T_a,V_B_2))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__pos__neg__trivial,axiom, % 158.97/158.69 ! [V_b,V_a] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 158.97/158.69 => ( 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))) % 158.97/158.69 => 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) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_sgn__pos,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.97/158.69 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_sgn__1__pos,axiom, % 158.97/158.69 ! [V_a_2,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Oone__class_Oone(T_a) % 158.97/158.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_divmod__int__rel__mod__eq,axiom, % 158.97/158.69 ! [V_y,V_q_1,V_b_1,V_a_1] : % 158.97/158.69 ( 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) % 158.97/158.69 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 158.97/158.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) ) % 158.97/158.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y)) % 158.97/158.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 158.97/158.69 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.97/158.69 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmult2__lemma__aux2,axiom, % 158.97/158.69 ! [V_q,V_r,V_b,V_c] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.97/158.69 => 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))) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmult2__lemma__aux1,axiom, % 158.97/158.69 ! [V_q,V_r,V_b,V_c] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.97/158.69 => 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))) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmult2__lemma__aux4,axiom, % 158.97/158.69 ! [V_q,V_b,V_r,V_c] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 158.97/158.69 => 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))) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmult2__lemma__aux3,axiom, % 158.97/158.69 ! [V_q,V_b,V_r,V_c] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 158.97/158.69 => 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))) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_split__zmod,axiom, % 158.97/158.69 ! [V_k_2,V_n_2,V_P_2] : % 158.97/158.69 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 158.97/158.69 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.97/158.69 => hBOOL(hAPP(V_P_2,V_n_2)) ) % 158.97/158.69 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 158.97/158.69 => ! [B_i,B_j] : % 158.97/158.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 158.97/158.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 158.97/158.69 & 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) ) % 158.97/158.69 => hBOOL(hAPP(V_P_2,B_j)) ) ) % 158.97/158.69 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.97/158.69 => ! [B_i,B_j] : % 158.97/158.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 158.97/158.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.97/158.69 & 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) ) % 158.97/158.69 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__zmult2__eq,axiom, % 158.97/158.69 ! [V_b,V_a,V_c] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zdiv__zminus2__eq__if,axiom, % 158.97/158.69 ! [V_a,V_b] : % 158.97/158.69 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.97/158.69 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.97/158.69 => 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)) ) % 158.97/158.69 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.97/158.69 => 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)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zdiv__zminus1__eq__if,axiom, % 158.97/158.69 ! [V_a,V_b] : % 158.97/158.69 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.97/158.69 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.97/158.69 => 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)) ) % 158.97/158.69 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.97/158.69 => 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)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zsgn__def,axiom, % 158.97/158.69 ! [V_i] : % 158.97/158.69 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.97/158.69 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 158.97/158.69 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.97/158.69 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 158.97/158.69 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 158.97/158.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 158.97/158.69 => 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)) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_sgn__1__neg,axiom, % 158.97/158.69 ! [V_a_2,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) % 158.97/158.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_sgn__neg,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.69 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_z3mod__def,axiom, % 158.97/158.69 ! [V_k,V_l] : % 158.97/158.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 158.97/158.69 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) ) % 158.97/158.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 158.97/158.69 => 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)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Min_Oremove,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.97/158.69 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = V_x_2 ) % 158.97/158.69 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_incr__lemma,axiom, % 158.97/158.69 ! [V_x,V_z,V_d] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 158.97/158.69 => 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)))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_decr__lemma,axiom, % 158.97/158.69 ! [V_z,V_x,V_d] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_setsum__abs,axiom, % 158.97/158.69 ! [V_A_2,V_f_2,T_b,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_setsum__abs__ge__zero,axiom, % 158.97/158.69 ! [V_A_2,V_f_2,T_b,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf__le1,axiom, % 158.97/158.69 ! [V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf__le2,axiom, % 158.97/158.69 ! [V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Ole__iff__inf,axiom, % 158.97/158.69 ! [V_y_2,V_x_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 158.97/158.69 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2) = V_x_2 ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Ole__inf__iff,axiom, % 158.97/158.69 ! [V_z_2,V_y_2,V_x_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y_2),V_z_2))) % 158.97/158.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 158.97/158.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Ole__infI1,axiom, % 158.97/158.69 ! [V_b,V_x,V_a,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 158.97/158.69 => 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)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Ole__infI2,axiom, % 158.97/158.69 ! [V_a,V_x,V_b,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 158.97/158.69 => 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)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf__absorb1,axiom, % 158.97/158.69 ! [V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf__absorb2,axiom, % 158.97/158.69 ! [V_x,V_y,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Ole__infI,axiom, % 158.97/158.69 ! [V_b,V_a,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 158.97/158.69 => 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))) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf__greatest,axiom, % 158.97/158.69 ! [V_z,V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 158.97/158.69 => 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))) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf__mono,axiom, % 158.97/158.69 ! [V_d,V_b,V_c,V_a,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 158.97/158.69 => 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))) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Ole__infE,axiom, % 158.97/158.69 ! [V_b,V_a,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( 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))) % 158.97/158.69 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 158.97/158.69 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__le__iff__disj,axiom, % 158.97/158.69 ! [V_z_2,V_y_2,V_x_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2)),V_z_2)) % 158.97/158.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) % 158.97/158.69 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__ge__self,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__le__D1,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__Suc__eq__Suc__mod,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__less,axiom, % 158.97/158.69 ! [V_n,V_m] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.97/158.69 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__less__eq__dividend,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__mult__distrib2,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__mult__distrib,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_inf__min,axiom, % 158.97/158.69 ! [T_a] : % 158.97/158.69 ( ( class_Lattices_Osemilattice__inf(T_a) % 158.97/158.69 & class_Orderings_Olinorder(T_a) ) % 158.97/158.69 => c_Lattices_Osemilattice__inf__class_Oinf(T_a) = c_Orderings_Oord__class_Omin(T_a) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__diff__distrib__left,axiom, % 158.97/158.69 ! [V_z,V_y,V_x,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__minus__commute,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__diff,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__divide,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__Suc__Suc,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__add__abs,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__mult__self,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__mult,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__one,axiom, % 158.97/158.69 ! [T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf_Oidem,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf_Ocommute,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf__commute,axiom, % 158.97/158.69 ! [V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf_Oleft__idem,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf__left__idem,axiom, % 158.97/158.69 ! [V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf_Oleft__commute,axiom, % 158.97/158.69 ! [V_c,V_a,V_b,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf__left__commute,axiom, % 158.97/158.69 ! [V_z,V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf_Oassoc,axiom, % 158.97/158.69 ! [V_c,V_b,V_a,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf__assoc,axiom, % 158.97/158.69 ! [V_z,V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__idempotent,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Min_Oidem,axiom, % 158.97/158.69 ! [V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__eq__0,axiom, % 158.97/158.69 ! [V_a_2,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2) = c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.69 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__zero,axiom, % 158.97/158.69 ! [T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__0L,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__0R,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_power__abs,axiom, % 158.97/158.69 ! [V_n,V_a,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__of__nat,axiom, % 158.97/158.69 ! [V_n,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__add__distrib__left,axiom, % 158.97/158.69 ! [V_z,V_y,V_x,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__minus__cancel,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__less__iff__disj,axiom, % 158.97/158.69 ! [V_z_2,V_y_2,V_x_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2)),V_z_2)) % 158.97/158.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_z_2)) % 158.97/158.69 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_z_2)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__less__iff__conj,axiom, % 158.97/158.69 ! [V_y_2,V_x_2,V_z_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2))) % 158.97/158.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_x_2)) % 158.97/158.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_y_2)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oless__infI2,axiom, % 158.97/158.69 ! [V_a,V_x,V_b,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 158.97/158.69 => 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)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oless__infI1,axiom, % 158.97/158.69 ! [V_b,V_x,V_a,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 158.97/158.69 => 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)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__int__eq,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom, % 158.97/158.69 ! [T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__setsum__abs,axiom, % 158.97/158.69 ! [V_A_2,V_f_2,T_b,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__setprod,axiom, % 158.97/158.69 ! [V_A_2,V_f_2,T_b,T_a] : % 158.97/158.69 ( class_Fields_Olinordered__field(T_a) % 158.97/158.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__ge__zero,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => 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))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__le__zero__iff,axiom, % 158.97/158.69 ! [V_a_2,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.69 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__of__nonneg,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.97/158.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__not__less__zero,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => ~ 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))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zero__less__abs__iff,axiom, % 158.97/158.69 ! [V_a_2,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2))) % 158.97/158.69 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__of__pos,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.97/158.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__triangle__ineq,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => 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)))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__mult__less,axiom, % 158.97/158.69 ! [V_d,V_b,V_c,V_a,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d)) % 158.97/158.69 => 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))) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__triangle__ineq2__sym,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => 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)))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__triangle__ineq2,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => 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)))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__triangle__ineq3,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => 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)))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__ge__minus__self,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => 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))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__le__iff,axiom, % 158.97/158.69 ! [V_b_2,V_a_2,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),V_b_2)) % 158.97/158.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) % 158.97/158.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__leI,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__le__D2,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__less__iff,axiom, % 158.97/158.69 ! [V_b_2,V_a_2,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),V_b_2)) % 158.97/158.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) % 158.97/158.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_nonzero__abs__divide,axiom, % 158.97/158.69 ! [V_a,V_b,T_a] : % 158.97/158.69 ( class_Fields_Olinordered__field(T_a) % 158.97/158.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.69 => 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)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__power__minus,axiom, % 158.97/158.69 ! [V_n,V_a,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__Suc,axiom, % 158.97/158.69 ! [V_n,V_m] : % 158.97/158.69 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n % 158.97/158.69 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 158.97/158.69 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n % 158.97/158.69 => 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)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__1,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__less__divisor,axiom, % 158.97/158.69 ! [V_m,V_n] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__eq__0__iff,axiom, % 158.97/158.69 ! [V_d_2,V_m_2] : % 158.97/158.69 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.97/158.69 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__if,axiom, % 158.97/158.69 ! [V_n,V_m] : % 158.97/158.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.97/158.69 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) % 158.97/158.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.97/158.69 => 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) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__geq,axiom, % 158.97/158.69 ! [V_n,V_m] : % 158.97/158.69 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__mult__self3,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_le__mod__geq,axiom, % 158.97/158.69 ! [V_m,V_n] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__zmult__eq__1,axiom, % 158.97/158.69 ! [V_n,V_m] : % 158.97/158.69 ( 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) % 158.97/158.69 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zmod__int,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mult__sgn__abs,axiom, % 158.97/158.69 ! [V_x,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => 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 ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__sgn,axiom, % 158.97/158.69 ! [V_k,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_div__add1__eq,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__eq__mult,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Rings_Oordered__ring__abs(T_a) % 158.97/158.69 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 158.97/158.69 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) % 158.97/158.69 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 158.97/158.69 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 158.97/158.69 => 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)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__mult__pos,axiom, % 158.97/158.69 ! [V_y,V_x,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 158.97/158.69 => 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)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__diff__triangle__ineq,axiom, % 158.97/158.69 ! [V_d,V_c,V_b,V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => 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))))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__triangle__ineq4,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => 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)))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__minus__le__zero,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => 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))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__of__nonpos,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__if,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Groups_Oabs__if(T_a) % 158.97/158.69 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) % 158.97/158.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__of__neg,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zero__le__power__abs,axiom, % 158.97/158.69 ! [V_n,V_a,T_a] : % 158.97/158.69 ( class_Rings_Olinordered__idom(T_a) % 158.97/158.69 => 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))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_abs__div__pos,axiom, % 158.97/158.69 ! [V_x,V_y,T_a] : % 158.97/158.69 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 158.97/158.69 => 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)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__le__divisor,axiom, % 158.97/158.69 ! [V_m,V_n] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zabs__less__one__iff,axiom, % 158.97/158.69 ! [V_z_2] : % 158.97/158.69 ( 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))) % 158.97/158.69 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zabs__def,axiom, % 158.97/158.69 ! [V_i] : % 158.97/158.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.97/158.69 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) ) % 158.97/158.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 158.97/158.69 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__mult__self4,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_nat__abs__mult__distrib,axiom, % 158.97/158.69 ! [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))) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Min_Oin__idem,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_div__mult1__eq,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__mult2__eq,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zero__le__zpower__abs,axiom, % 158.97/158.69 ! [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))) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Divides_Omod__div__equality_H,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mult__div__cancel,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_div__mod__equality_H,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Int__atLeastAtMostR1,axiom, % 158.97/158.69 ! [V_d_2,V_ca_2,V_b_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Int__atLeastAtMostL1,axiom, % 158.97/158.69 ! [V_d_2,V_b_2,V_a_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Min_OF__eq,axiom, % 158.97/158.69 ! [V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_mod__lemma,axiom, % 158.97/158.69 ! [V_q,V_b,V_r,V_c] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b)) % 158.97/158.69 => 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))) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_split__mod,axiom, % 158.97/158.69 ! [V_k_2,V_n_2,V_P_2] : % 158.97/158.69 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2))) % 158.97/158.69 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.97/158.69 => hBOOL(hAPP(V_P_2,V_n_2)) ) % 158.97/158.69 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.97/158.69 => ! [B_i,B_j] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 158.97/158.69 => ( 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) % 158.97/158.69 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Ofold1__belowI,axiom, % 158.97/158.69 ! [V_a_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_a_2)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Obelow__fold1__iff,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2))) % 158.97/158.69 <=> ! [B_x] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_fold1__below__iff,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_x_2)) % 158.97/158.69 <=> ? [B_x] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.97/158.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_x_2)) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_fold1__strict__below__iff,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_x_2)) % 158.97/158.69 <=> ? [B_x] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.97/158.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_x_2)) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_strict__below__fold1__iff,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2))) % 158.97/158.69 <=> ! [B_x] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),B_x)) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Suc__times__mod__eq,axiom, % 158.97/158.69 ! [V_m,V_k] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k)) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Min__insert,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_nat__mod__distrib,axiom, % 158.97/158.69 ! [V_y,V_x] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 158.97/158.69 => 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)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom, % 158.97/158.69 ! [V_y,V_x] : % 158.97/158.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 158.97/158.69 => 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)) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Min_Osubset__idem,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Min__Un,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.97/158.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_zero__less__zpower__abs__iff,axiom, % 158.97/158.69 ! [V_n_2,V_x_2] : % 158.97/158.69 ( 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))) % 158.97/158.69 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 158.97/158.69 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Min_Oinsert,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_fold1__antimono,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2))) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Min_Oinsert__remove,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 ) % 158.97/158.69 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Min_Ounion__inter,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.97/158.69 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Min_Ounion__disjoint,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.97/158.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_dual__max,axiom, % 158.97/158.69 ! [T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => c_Orderings_Oord_Omax(T_a,hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a))) = c_Orderings_Oord__class_Omin(T_a) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__ord__min,axiom, % 158.97/158.69 ! [T_a] : % 158.97/158.69 ( class_Orderings_Oord(T_a) % 158.97/158.69 => c_Orderings_Oord__class_Omin(T_a) = c_Orderings_Oord_Omin(T_a,c_Orderings_Oord__class_Oless__eq(T_a)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Min_Oclosed,axiom, % 158.97/158.69 ! [V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_A_2)) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OInf__fin_Oremove,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.97/158.69 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = V_x_2 ) % 158.97/158.69 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_inf__nat__def,axiom, % 158.97/158.69 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OInf__fin_Oin__idem,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OInf__fin_Osingleton,axiom, % 158.97/158.69 ! [V_x_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OInf__fin_OF__eq,axiom, % 158.97/158.69 ! [V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OInf__fin_Osubset__idem,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OInf__fin_Ounion__idem,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.97/158.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OInf__fin_Oinsert,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 ) % 158.97/158.69 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.97/158.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OInf__fin_Ounion__inter,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.97/158.69 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OInf__fin_Oclosed,axiom, % 158.97/158.69 ! [V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),V_A_2)) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup__Inf2__distrib,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.97/158.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Orderings_Oord__class_Omax(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup__Inf1__distrib,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Nitpick_Oint__lcm__def,axiom, % 158.97/158.69 ! [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)))) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup__inf__absorb,axiom, % 158.97/158.69 ! [V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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 ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf__sup__absorb,axiom, % 158.97/158.69 ! [V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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 ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup__inf__distrib1,axiom, % 158.97/158.69 ! [V_z,V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf__sup__distrib1,axiom, % 158.97/158.69 ! [V_z,V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup__inf__distrib2,axiom, % 158.97/158.69 ! [V_x,V_z,V_y,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf__sup__distrib2,axiom, % 158.97/158.69 ! [V_x,V_z,V_y,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom, % 158.97/158.69 ! [T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_le__maxI1,axiom, % 158.97/158.69 ! [V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_le__maxI2,axiom, % 158.97/158.69 ! [V_x,V_y,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Ole__iff__sup,axiom, % 158.97/158.69 ! [V_y_2,V_x_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 158.97/158.69 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2) = V_y_2 ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Ole__sup__iff,axiom, % 158.97/158.69 ! [V_z_2,V_y_2,V_x_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)),V_z_2)) % 158.97/158.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) % 158.97/158.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Ole__supI1,axiom, % 158.97/158.69 ! [V_b,V_a,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 158.97/158.69 => 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))) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Ole__supI2,axiom, % 158.97/158.69 ! [V_a,V_b,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 158.97/158.69 => 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))) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup__absorb2,axiom, % 158.97/158.69 ! [V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup__absorb1,axiom, % 158.97/158.69 ! [V_x,V_y,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Ole__supI,axiom, % 158.97/158.69 ! [V_b,V_x,V_a,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 158.97/158.69 => 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)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup__least,axiom, % 158.97/158.69 ! [V_z,V_x,V_y,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 158.97/158.69 => 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)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup__mono,axiom, % 158.97/158.69 ! [V_d,V_b,V_c,V_a,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 158.97/158.69 => 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))) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Ole__supE,axiom, % 158.97/158.69 ! [V_x,V_b,V_a,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( 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)) % 158.97/158.69 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 158.97/158.69 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_le__max__iff__disj,axiom, % 158.97/158.69 ! [V_y_2,V_x_2,V_z_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2))) % 158.97/158.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),V_x_2)) % 158.97/158.69 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),V_y_2)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_sup__max,axiom, % 158.97/158.69 ! [T_a] : % 158.97/158.69 ( ( class_Lattices_Osemilattice__sup(T_a) % 158.97/158.69 & class_Orderings_Olinorder(T_a) ) % 158.97/158.69 => c_Lattices_Osemilattice__sup__class_Osup(T_a) = c_Orderings_Oord__class_Omax(T_a) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_max__diff__distrib__left,axiom, % 158.97/158.69 ! [V_z,V_y,V_x,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__group__add(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_max__Suc__Suc,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup_Oidem,axiom, % 158.97/158.69 ! [V_a,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup_Ocommute,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup__commute,axiom, % 158.97/158.69 ! [V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup_Oleft__idem,axiom, % 158.97/158.69 ! [V_b,V_a,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup__left__idem,axiom, % 158.97/158.69 ! [V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup_Oleft__commute,axiom, % 158.97/158.69 ! [V_c,V_a,V_b,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup__left__commute,axiom, % 158.97/158.69 ! [V_z,V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup_Oassoc,axiom, % 158.97/158.69 ! [V_c,V_b,V_a,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup__assoc,axiom, % 158.97/158.69 ! [V_z,V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Max_Oidem,axiom, % 158.97/158.69 ! [V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_max__0L,axiom, % 158.97/158.69 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 158.97/158.69 % 158.97/158.69 fof(fact_max__0R,axiom, % 158.97/158.69 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ). % 158.97/158.69 % 158.97/158.69 fof(fact_max__add__distrib__left,axiom, % 158.97/158.69 ! [V_z,V_y,V_x,T_a] : % 158.97/158.69 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oless__supI1,axiom, % 158.97/158.69 ! [V_b,V_a,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 158.97/158.69 => 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))) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oless__supI2,axiom, % 158.97/158.69 ! [V_a,V_b,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 158.97/158.69 => 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))) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_less__max__iff__disj,axiom, % 158.97/158.69 ! [V_y_2,V_x_2,V_z_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2))) % 158.97/158.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_x_2)) % 158.97/158.69 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_y_2)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_max__less__iff__conj,axiom, % 158.97/158.69 ! [V_z_2,V_y_2,V_x_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)),V_z_2)) % 158.97/158.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_z_2)) % 158.97/158.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_z_2)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Odistrib__inf__le,axiom, % 158.97/158.69 ! [V_z,V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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)))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Odistrib__sup__le,axiom, % 158.97/158.69 ! [V_z,V_y,V_x,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => 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)))) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_minus__min__eq__max,axiom, % 158.97/158.69 ! [V_y,V_x,T_a] : % 158.97/158.69 ( class_Groups_Olinordered__ab__group__add(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_minus__max__eq__min,axiom, % 158.97/158.69 ! [V_y,V_x,T_a] : % 158.97/158.69 ( class_Groups_Olinordered__ab__group__add(T_a) % 158.97/158.69 => 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)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_nat__minus__add__max,axiom, % 158.97/158.69 ! [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) ). % 158.97/158.69 % 158.97/158.69 fof(fact_max__ord__max,axiom, % 158.97/158.69 ! [T_a] : % 158.97/158.69 ( class_Orderings_Oord(T_a) % 158.97/158.69 => c_Orderings_Oord__class_Omax(T_a) = c_Orderings_Oord_Omax(T_a,c_Orderings_Oord__class_Oless__eq(T_a)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Max_Oin__idem,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Int__atLeastAtMost,axiom, % 158.97/158.69 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Int__atLeastLessThan,axiom, % 158.97/158.69 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Int__greaterThanAtMost,axiom, % 158.97/158.69 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Int__greaterThanLessThan,axiom, % 158.97/158.69 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Int__atLeastAtMostR2,axiom, % 158.97/158.69 ! [V_d_2,V_ca_2,V_a_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),V_d_2) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Int__atLeastAtMostL2,axiom, % 158.97/158.69 ! [V_ca_2,V_b_2,V_a_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_ca_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),V_b_2) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Max_OF__eq,axiom, % 158.97/158.69 ! [V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omax(T_a)),V_A_2) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_dual__min,axiom, % 158.97/158.69 ! [T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => c_Orderings_Oord_Omin(T_a,hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a))) = c_Orderings_Oord__class_Omax(T_a) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Max__insert,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Max_Osubset__idem,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Osup__Inf__absorb,axiom, % 158.97/158.69 ! [V_a_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = V_a_2 ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Max__Un,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.97/158.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Max_Oinsert,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Max_Oinsert__remove,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 ) % 158.97/158.69 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Max_Ounion__inter,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.97/158.69 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Max_Ounion__disjoint,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.97/158.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Max_Oremove,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.97/158.69 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = V_x_2 ) % 158.97/158.69 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Nitpick_Onat__lcm__def,axiom, % 158.97/158.69 ! [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)) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf__Sup1__distrib,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_Oinf__Sup2__distrib,axiom, % 158.97/158.69 ! [V_B_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.97/158.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Orderings_Oord__class_Omin(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_Max_Oclosed,axiom, % 158.97/158.69 ! [V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 158.97/158.69 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),V_A_2)) ) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_sup__nat__def,axiom, % 158.97/158.69 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OSup__fin_Oin__idem,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.97/158.69 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OSup__fin_Osingleton,axiom, % 158.97/158.69 ! [V_x_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OSup__fin_OF__eq,axiom, % 158.97/158.69 ! [V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omax(T_a)),V_A_2) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom, % 158.97/158.69 ! [V_x_2,V_A_2,T_a] : % 158.97/158.69 ( class_Orderings_Olinorder(T_a) % 158.97/158.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.69 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) ) ) ) ). % 158.97/158.69 % 158.97/158.69 fof(fact_min__max_OSup__fin_Osubset__idem,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,T_a] : % 158.97/158.70 ( class_Orderings_Olinorder(T_a) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 158.97/158.70 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_min__max_Oinf__Sup__absorb,axiom, % 158.97/158.70 ! [V_a_2,V_A_2,T_a] : % 158.97/158.70 ( class_Orderings_Olinorder(T_a) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.97/158.70 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = V_a_2 ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_min__max_OSup__fin_Ounion__idem,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,T_a] : % 158.97/158.70 ( class_Orderings_Olinorder(T_a) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.97/158.70 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_nat__gcd_Osimps,axiom, % 158.97/158.70 ! [V_x,V_y] : % 158.97/158.70 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.97/158.70 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x ) % 158.97/158.70 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 158.97/158.70 => 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)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_min__max_OSup__fin_Oinsert,axiom, % 158.97/158.70 ! [V_x_2,V_A_2,T_a] : % 158.97/158.70 ( class_Orderings_Olinorder(T_a) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.97/158.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom, % 158.97/158.70 ! [V_x_2,V_A_2,T_a] : % 158.97/158.70 ( class_Orderings_Olinorder(T_a) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 ) % 158.97/158.70 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,T_a] : % 158.97/158.70 ( class_Orderings_Olinorder(T_a) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.97/158.70 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_min__max_OSup__fin_Ounion__inter,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,T_a] : % 158.97/158.70 ( class_Orderings_Olinorder(T_a) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) % 158.97/158.70 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_min__max_OSup__fin_Oremove,axiom, % 158.97/158.70 ! [V_x_2,V_A_2,T_a] : % 158.97/158.70 ( class_Orderings_Olinorder(T_a) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.97/158.70 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = V_x_2 ) % 158.97/158.70 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_min__max_OInf__le__Sup,axiom, % 158.97/158.70 ! [V_A_2,T_a] : % 158.97/158.70 ( class_Orderings_Olinorder(T_a) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2))) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_Nitpick_Oint__gcd__def,axiom, % 158.97/158.70 ! [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)))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_min__max_OSup__fin_Oclosed,axiom, % 158.97/158.70 ! [V_A_2,T_a] : % 158.97/158.70 ( class_Orderings_Olinorder(T_a) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),V_A_2)) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_min__max_OSup__fin_Ohom__commute,axiom, % 158.97/158.70 ! [V_N_2,V_h_2,T_a] : % 158.97/158.70 ( class_Orderings_Olinorder(T_a) % 158.97/158.70 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 158.97/158.70 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_min__max_OInf__fin_Ohom__commute,axiom, % 158.97/158.70 ! [V_N_2,V_h_2,T_a] : % 158.97/158.70 ( class_Orderings_Olinorder(T_a) % 158.97/158.70 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 158.97/158.70 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_Max_Ohom__commute,axiom, % 158.97/158.70 ! [V_N_2,V_h_2,T_a] : % 158.97/158.70 ( class_Orderings_Olinorder(T_a) % 158.97/158.70 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 158.97/158.70 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_Min_Ohom__commute,axiom, % 158.97/158.70 ! [V_N_2,V_h_2,T_a] : % 158.97/158.70 ( class_Orderings_Olinorder(T_a) % 158.97/158.70 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2)) % 158.97/158.70 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_min__Suc1,axiom, % 158.97/158.70 ! [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) ). % 158.97/158.70 % 158.97/158.70 fof(fact_min__Suc2,axiom, % 158.97/158.70 ! [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) ). % 158.97/158.70 % 158.97/158.70 fof(fact_nat__case__0,axiom, % 158.97/158.70 ! [V_f2_2,V_f1_2,T_a] : c_Nat_Onat_Onat__case(T_a,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ). % 158.97/158.70 % 158.97/158.70 fof(fact_nat__case__Suc,axiom, % 158.97/158.70 ! [V_nat_2,V_f2_2,V_f1_2,T_a] : c_Nat_Onat_Onat__case(T_a,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ). % 158.97/158.70 % 158.97/158.70 fof(fact_max__Suc1,axiom, % 158.97/158.70 ! [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) ). % 158.97/158.70 % 158.97/158.70 fof(fact_max__Suc2,axiom, % 158.97/158.70 ! [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) ). % 158.97/158.70 % 158.97/158.70 fof(fact_diff__Suc,axiom, % 158.97/158.70 ! [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)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom, % 158.97/158.70 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_a] : % 158.97/158.70 ( ( class_Groups_Ocomm__monoid__add(T_a) % 158.97/158.70 & class_Groups_Ocomm__monoid__mult(T_a) ) % 158.97/158.70 => ( V_A_2 = V_B_2 % 158.97/158.70 => ( c_Nat__Transfer_Onat__set(V_B_2) % 158.97/158.70 => ( ! [B_x] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 158.97/158.70 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 158.97/158.70 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_g_2),V_B_2) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln_OBody,axiom, % 158.97/158.70 ! [V_s1,V_n,V_s0,V_pn] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_n),V_s1)) % 158.97/158.70 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),hAPP(c_Nat_OSuc,V_n)),V_s1)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_nat0__intermed__int__val,axiom, % 158.97/158.70 ! [V_k_2,V_f_2,V_n_2] : % 158.97/158.70 ( ! [B_i] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 158.97/158.70 => 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))) ) % 158.97/158.70 => ( 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)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 158.97/158.70 => ? [B_i] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 158.97/158.70 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_int__val__lemma,axiom, % 158.97/158.70 ! [V_k_2,V_f_2,V_n_2] : % 158.97/158.70 ( ! [B_i] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 158.97/158.70 => 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))) ) % 158.97/158.70 => ( 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)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 158.97/158.70 => ? [B_i] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 158.97/158.70 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln_OWhileTrue,axiom, % 158.97/158.70 ! [V_s2_2,V_s1_2,V_n_2,V_ca_2,V_s0_2,V_b_2] : % 158.97/158.70 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),V_s0_2),V_n_2),V_s1_2)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s1_2),V_n_2),V_s2_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s0_2),V_n_2),V_s2_2)) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln_OWhileFalse,axiom, % 158.97/158.70 ! [V_n_2,V_ca_2,V_s_2,V_b_2] : % 158.97/158.70 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s_2),V_n_2),V_s_2)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln__elim__cases_I5_J,axiom, % 158.97/158.70 ! [V_t_2,V_n_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)),V_s_2),V_n_2),V_t_2)) % 158.97/158.70 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 158.97/158.70 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1_2),V_s_2),V_n_2),V_t_2)) ) % 158.97/158.70 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 158.97/158.70 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c2_2),V_s_2),V_n_2),V_t_2)) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln_OIfTrue,axiom, % 158.97/158.70 ! [V_c1_2,V_s1_2,V_n_2,V_c0_2,V_s_2,V_b_2] : % 158.97/158.70 ( hBOOL(hAPP(V_b_2,V_s_2)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c0_2),V_s_2),V_n_2),V_s1_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_n_2),V_s1_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln_OIfFalse,axiom, % 158.97/158.70 ! [V_c0_2,V_s1_2,V_n_2,V_c1_2,V_s_2,V_b_2] : % 158.97/158.70 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1_2),V_s_2),V_n_2),V_s1_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_n_2),V_s1_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln_OSemi,axiom, % 158.97/158.70 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c0),V_s0),V_n),V_s1)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1),V_s1),V_n),V_s2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_n),V_s2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln__elim__cases_I1_J,axiom, % 158.97/158.70 ! [V_t,V_n,V_s] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_s),V_n),V_t)) % 158.97/158.70 => V_t = V_s ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln_OSkip,axiom, % 158.97/158.70 ! [V_n,V_s] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_s),V_n),V_s)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln__nonstrict,axiom, % 158.97/158.70 ! [V_m,V_t,V_n,V_s,V_c] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_t)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 158.97/158.70 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_m),V_t)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln_Oequations_I5_J,axiom, % 158.97/158.70 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a6_2)),V_a2_2),V_a4_2),V_a5_2)) % 158.97/158.70 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 158.97/158.70 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),V_a5_2)) ) % 158.97/158.70 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 158.97/158.70 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a6_2),V_a2_2),V_a4_2),V_a5_2)) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln_Oequations_I6_J,axiom, % 158.97/158.70 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_a1_2,V_a6_2,V_a3_2)),V_a2_2),V_a4_2),V_a5_2)) % 158.97/158.70 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 158.97/158.70 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a6_2),V_a2_2),V_a4_2),V_a5_2)) ) % 158.97/158.70 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 158.97/158.70 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),V_a5_2)) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_eval__eq,axiom, % 158.97/158.70 ! [V_t_2,V_s_2,V_ca_2] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s_2),V_t_2)) % 158.97/158.70 <=> ? [B_n] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),V_s_2),B_n),V_t_2)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln__evalc,axiom, % 158.97/158.70 ! [V_t,V_n,V_s,V_c] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_t)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln__Suc,axiom, % 158.97/158.70 ! [V_s_H,V_n,V_s,V_c] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_s_H)) % 158.97/158.70 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),hAPP(c_Nat_OSuc,V_n)),V_s_H)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln_Oequations_I7_J,axiom, % 158.97/158.70 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a4_2),V_a2_2)) % 158.97/158.70 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 158.97/158.70 => ? [B_s1] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),B_s1)) % 158.97/158.70 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a4_2),V_a2_2)) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln_Oequations_I8_J,axiom, % 158.97/158.70 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a4_2),V_a6_2)) % 158.97/158.70 <=> ( ( V_a6_2 = V_a2_2 % 158.97/158.70 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 158.97/158.70 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 158.97/158.70 & ? [B_s1] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),B_s1)) % 158.97/158.70 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a4_2),V_a6_2)) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln_Oequations_I1_J,axiom, % 158.97/158.70 ! [V_a2,V_a1] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_a1),V_a2),V_a1)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln_Oequations_I4_J,axiom, % 158.97/158.70 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(V_a1_2,V_a5_2)),V_a2_2),V_a3_2),V_a6_2)) % 158.97/158.70 <=> ? [B_s1] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a1_2),V_a2_2),V_a3_2),B_s1)) % 158.97/158.70 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a5_2),B_s1),V_a3_2),V_a6_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_triple__valid__def2,axiom, % 158.97/158.70 ! [V_Q_2,V_ca_2,V_P_2,V_n_2,T_a] : % 158.97/158.70 ( c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)) % 158.97/158.70 <=> ! [B_Z,B_s] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s)) % 158.97/158.70 => ! [B_s_H] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),B_s),V_n_2),B_s_H)) % 158.97/158.70 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s_H)) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_triple__valid__def,axiom, % 158.97/158.70 ! [V_t_2,V_n_2,T_a] : % 158.97/158.70 ( c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,V_t_2) % 158.97/158.70 <=> hBOOL(c_Hoare__Mirabelle_Otriple_Otriple__case(T_a,tc_HOL_Obool,hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_HOL_OAll(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBS(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_a),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_Com_Ocom),c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))),hAPP(hAPP(c_COMBC(tc_Com_Ocom,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_Natural_Oevaln)),V_n_2))))))))),V_t_2)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln_Oequations_I9_J,axiom, % 158.97/158.70 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),hAPP(c_Nat_OSuc,V_a3_2)),V_a4_2)) % 158.97/158.70 <=> hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2))),V_a2_2),V_a3_2),V_a4_2)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_less__eq__nat_Osimps_I2_J,axiom, % 158.97/158.70 ! [V_n_2,V_m_2] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 158.97/158.70 <=> 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)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_evaln__elim__cases_I6_J,axiom, % 158.97/158.70 ! [V_s1,V_n,V_s,V_P] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_n),V_s1)) % 158.97/158.70 => ~ ! [B_n] : % 158.97/158.70 ( V_n = hAPP(c_Nat_OSuc,B_n) % 158.97/158.70 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),B_n),V_s1)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_setprod__pos__nat,axiom, % 158.97/158.70 ! [V_f_2,V_S_2,T_a] : % 158.97/158.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2)) % 158.97/158.70 => ( ! [B_x] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2)) % 158.97/158.70 => 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))) ) % 158.97/158.70 => 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_a,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_pigeonhole__infinite,axiom, % 158.97/158.70 ! [V_f_2,T_b,V_A_2,T_a] : % 158.97/158.70 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) % 158.97/158.70 => ? [B_x] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.97/158.70 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_card__quotient__disjoint,axiom, % 158.97/158.70 ! [V_r_2,V_A_2,T_a] : % 158.97/158.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( c_Fun_Oinj__on(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Equiv__Relations_Oquotient(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2),V_A_2) % 158.97/158.70 => hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_quotient__empty,axiom, % 158.97/158.70 ! [V_r_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_quotient__is__empty2,axiom, % 158.97/158.70 ! [V_r_2,V_A_2,T_a] : % 158.97/158.70 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2) % 158.97/158.70 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_quotient__is__empty,axiom, % 158.97/158.70 ! [V_r_2,V_A_2,T_a] : % 158.97/158.70 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) % 158.97/158.70 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_quotient__diff1,axiom, % 158.97/158.70 ! [V_a_2,V_A_2,V_r_2,T_a] : % 158.97/158.70 ( c_Fun_Oinj__on(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Equiv__Relations_Oquotient(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2),V_A_2) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.97/158.70 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_singleton__quotient,axiom, % 158.97/158.70 ! [V_r_2,V_x_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__le__eq__Un0,axiom, % 158.97/158.70 ! [V_M_2,V_n_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_inj__on__diff__nat,axiom, % 158.97/158.70 ! [V_k_2,V_N_2] : % 158.97/158.70 ( ! [B_x] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) ) % 158.97/158.70 => 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) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_quotientI,axiom, % 158.97/158.70 ! [V_r_2,V_A_2,V_x_2,T_a] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_SUP1__I,axiom, % 158.97/158.70 ! [T_b,V_b_2,V_B_2,V_A_2,V_a_2,T_a] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__o,axiom, % 158.97/158.70 ! [V_f_2,V_g_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_c,tc_fun(T_a,tc_HOL_Obool),T_b,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_g_2) ). % 158.97/158.70 % 158.97/158.70 fof(fact_finite__UN,axiom, % 158.97/158.70 ! [V_B_2,T_b,V_A_2,T_a] : % 158.97/158.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.97/158.70 <=> ! [B_x] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.97/158.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_SUP1__iff,axiom, % 158.97/158.70 ! [V_b_2,V_B_2,V_A_2,T_b,T_a] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 158.97/158.70 <=> ? [B_x] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.97/158.70 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_SUP__UN__eq,axiom, % 158.97/158.70 ! [V_x_2,V_r_2,T_b,T_a] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b))),V_r_2)),V_x_2)) % 158.97/158.70 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__lessThan__UNIV,axiom, % 158.97/158.70 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)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__atMost__UNIV,axiom, % 158.97/158.70 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)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__atLeast__UNIV,axiom, % 158.97/158.70 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)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__UN__finite__eq,axiom, % 158.97/158.70 ! [V_A_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),tc_fun(T_a,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_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__le__add__shift,axiom, % 158.97/158.70 ! [V_k_2,V_M_2,V_n_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,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_a,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) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__I,axiom, % 158.97/158.70 ! [V_B_2,V_b_2,T_b,V_A_2,V_a_2,T_a] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_vimage__eq__UN,axiom, % 158.97/158.70 ! [V_B_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_Ovimage(T_a,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))))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_Image__eq__UN,axiom, % 158.97/158.70 ! [V_B_2,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_a,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))))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_image__eq__UN,axiom, % 158.97/158.70 ! [V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_a)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_ball__UN,axiom, % 158.97/158.70 ! [V_P_2,V_B_2,V_A_2,T_b,T_a] : % 158.97/158.70 ( ! [B_x] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.97/158.70 => hBOOL(hAPP(V_P_2,B_x)) ) % 158.97/158.70 <=> ! [B_x] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 158.97/158.70 => ! [B_xa] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(V_B_2,B_x))) % 158.97/158.70 => hBOOL(hAPP(V_P_2,B_xa)) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_SUP__commute,axiom, % 158.97/158.70 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_a] : % 158.97/158.70 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 158.97/158.70 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),T_a,T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_a),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_a),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),T_a,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__UN__flatten,axiom, % 158.97/158.70 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,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)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__simps_I9_J,axiom, % 158.97/158.70 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,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)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__extend__simps_I9_J,axiom, % 158.97/158.70 ! [V_C_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,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) ). % 158.97/158.70 % 158.97/158.70 fof(fact_quotient__def,axiom, % 158.97/158.70 ! [V_r_2,V_A_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),c_Relation_OImage(T_a,T_a,V_r_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_Image__empty,axiom, % 158.97/158.70 ! [V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_Image__mono,axiom, % 158.97/158.70 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_b,T_a] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_H_2),V_A_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_b,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_A_2))) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_Un__Image,axiom, % 158.97/158.70 ! [V_A_2,V_S_2,V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_S_2),V_A_2)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_Image__Un,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_R_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_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_SUP__le__iff,axiom, % 158.97/158.70 ! [V_u_2,V_M_2,V_A_2,T_b,T_a] : % 158.97/158.70 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),V_M_2)),V_u_2)) % 158.97/158.70 <=> ! [B_x] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_less__SUP__iff,axiom, % 158.97/158.70 ! [V_f_2,V_A_2,T_b,V_a_2,T_a] : % 158.97/158.70 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 158.97/158.70 & class_Orderings_Olinorder(T_a) ) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),V_f_2))) % 158.97/158.70 <=> ? [B_x] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 158.97/158.70 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__iff,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,T_b,V_b_2,T_a] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 158.97/158.70 <=> ? [B_x] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 158.97/158.70 & hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_SUP__const,axiom, % 158.97/158.70 ! [V_M_2,T_a,V_A_2,T_b] : % 158.97/158.70 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 158.97/158.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),hAPP(c_COMBK(T_b,T_a),V_M_2)) = V_M_2 ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UNION__empty__conv_I2_J,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,T_a,T_b] : % 158.97/158.70 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 <=> ! [B_x] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 158.97/158.70 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__constant,axiom, % 158.97/158.70 ! [V_ca_2,T_b,T_a,V_A_2] : % 158.97/158.70 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 158.97/158.70 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = V_ca_2 ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__empty2,axiom, % 158.97/158.70 ! [V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UNION__empty__conv_I1_J,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,T_b,T_a] : % 158.97/158.70 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) % 158.97/158.70 <=> ! [B_x] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 158.97/158.70 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__subset__iff,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2)) % 158.97/158.70 <=> ! [B_x] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__simps_I10_J,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),V_B_2),V_f_2)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_image__UN,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,T_c,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Oimage(T_b,T_a,V_f_2)),V_B_2)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__extend__simps_I10_J,axiom, % 158.97/158.70 ! [V_f_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__Un,axiom, % 158.97/158.70 ! [V_M_2,V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,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_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_M_2)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__Un__distrib,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,V_I_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_B_2)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_Int__UN__distrib2,axiom, % 158.97/158.70 ! [V_B_2,V_J_2,T_c,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2))),V_B_2))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__extend__simps_I4_J,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,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_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_Int__UN__distrib,axiom, % 158.97/158.70 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),V_A_2)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__extend__simps_I5_J,axiom, % 158.97/158.70 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__simps_I4_J,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__simps_I5_J,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_SUPR__apply,axiom, % 158.97/158.70 ! [V_x_2,V_f_2,V_A_2,T_c,T_b,T_a] : % 158.97/158.70 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 158.97/158.70 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,T_a)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_f_2),V_x_2)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__extend__simps_I6_J,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,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_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__simps_I6_J,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 158.97/158.70 % 158.97/158.70 fof(fact_Image__UN,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,T_c,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_r_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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_vimage__UN,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,T_c,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Ovimage(T_a,T_b,V_f_2)),V_B_2)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_SUP__subset,axiom, % 158.97/158.70 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] : % 158.97/158.70 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_B_2),V_f_2))) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_Image__Int__subset,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,V_R_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_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_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_le__SUPI,axiom, % 158.97/158.70 ! [V_M_2,V_A_2,V_i_2,T_a,T_b] : % 158.97/158.70 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_A_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_M_2))) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__insert__distrib,axiom, % 158.97/158.70 ! [V_B_2,V_a_2,T_b,V_A_2,V_u_2,T_a] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),V_u_2),V_A_2)) % 158.97/158.70 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__upper,axiom, % 158.97/158.70 ! [V_B_2,T_b,V_A_2,V_a_2,T_a] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__absorb,axiom, % 158.97/158.70 ! [V_A_2,T_b,V_I_2,V_k_2,T_a] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),V_k_2),V_I_2)) % 158.97/158.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__simps_I1_J,axiom, % 158.97/158.70 ! [V_B_2,V_a_2,T_b,T_a,V_C_2] : % 158.97/158.70 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 158.97/158.70 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__singleton,axiom, % 158.97/158.70 ! [V_A_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_A_2 ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__extend__simps_I1_J,axiom, % 158.97/158.70 ! [V_B_2,V_a_2,T_b,T_a,V_C_2] : % 158.97/158.70 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_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))) ) % 158.97/158.70 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__extend__simps_I2_J,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 158.97/158.70 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => 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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 ) % 158.97/158.70 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => 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_a,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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__extend__simps_I3_J,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 158.97/158.70 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => 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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 158.97/158.70 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => 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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__simps_I2_J,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 158.97/158.70 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),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)) ) % 158.97/158.70 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__simps_I3_J,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 158.97/158.70 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),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)) ) % 158.97/158.70 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 158.97/158.70 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__insert,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,V_a_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__Pow__subset,axiom, % 158.97/158.70 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_b),c_Set_OPow(T_a)),V_B_2))),hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__finite2__subset,axiom, % 158.97/158.70 ! [V_B_2,V_k_2,V_A_2,T_a] : % 158.97/158.70 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,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))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_quotientE,axiom, % 158.97/158.70 ! [V_r_2,V_A_2,V_X_2,T_a] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 158.97/158.70 => ~ ! [B_x] : % 158.97/158.70 ( V_X_2 = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 158.97/158.70 => ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__finite2__eq,axiom, % 158.97/158.70 ! [V_B_2,V_k_2,V_A_2,T_a] : % 158.97/158.70 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,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) % 158.97/158.70 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__finite__subset,axiom, % 158.97/158.70 ! [V_C_2,V_A_2,T_a] : % 158.97/158.70 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_SUP2__I,axiom, % 158.97/158.70 ! [T_c,T_b,V_ca_2,V_b_2,V_B_2,V_A_2,V_a_2,T_a] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_less__by__empty,axiom, % 158.97/158.70 ! [V_B_2,T_a,V_A_2] : % 158.97/158.70 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_finite__UN__I,axiom, % 158.97/158.70 ! [V_B_2,T_b,V_A_2,T_a] : % 158.97/158.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( ! [B_a] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2)) % 158.97/158.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_a))) ) % 158.97/158.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_diff__nat__eq__if,axiom, % 158.97/158.70 ! [V_z_2,V_z_H_2] : % 158.97/158.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 158.97/158.70 => 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) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 158.97/158.70 => 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)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_setsum__SucD,axiom, % 158.97/158.70 ! [V_n_2,V_A_2,V_f_2,T_a] : % 158.97/158.70 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2) % 158.97/158.70 => ? [B_x] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.97/158.70 & 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))) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_nat__mod__eq__lemma,axiom, % 158.97/158.70 ! [V_y,V_n,V_x] : % 158.97/158.70 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x)) % 158.97/158.70 => ? [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)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_SUP2__iff,axiom, % 158.97/158.70 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) % 158.97/158.70 <=> ? [B_x] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.97/158.70 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_not__neg__0,axiom, % 158.97/158.70 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_not__neg__1,axiom, % 158.97/158.70 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_not__neg__int,axiom, % 158.97/158.70 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_not__neg__eq__ge__0,axiom, % 158.97/158.70 ! [V_x_2] : % 158.97/158.70 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2)) % 158.97/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_neg__def,axiom, % 158.97/158.70 ! [V_Z_2] : % 158.97/158.70 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2)) % 158.97/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_neg__nat,axiom, % 158.97/158.70 ! [V_z] : % 158.97/158.70 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 158.97/158.70 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_not__neg__nat,axiom, % 158.97/158.70 ! [V_z] : % 158.97/158.70 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 158.97/158.70 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_neg__zminus__int,axiom, % 158.97/158.70 ! [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))))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_card_Oneutral,axiom, % 158.97/158.70 ! [V_A_2,T_a] : % 158.97/158.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 158.97/158.70 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 158.97/158.70 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_mod__induct__0,axiom, % 158.97/158.70 ! [V_i_2,V_P_2,V_p_2] : % 158.97/158.70 ( ! [B_i] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2)) % 158.97/158.70 => ( hBOOL(hAPP(V_P_2,B_i)) % 158.97/158.70 => hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) ) % 158.97/158.70 => ( hBOOL(hAPP(V_P_2,V_i_2)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2)) % 158.97/158.70 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_Min__eqI,axiom, % 158.97/158.70 ! [V_x_2,V_A_2,T_a] : % 158.97/158.70 ( class_Orderings_Olinorder(T_a) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( ! [B_y] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_y)) ) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.97/158.70 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = V_x_2 ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_Max__eqI,axiom, % 158.97/158.70 ! [V_x_2,V_A_2,T_a] : % 158.97/158.70 ( class_Orderings_Olinorder(T_a) % 158.97/158.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 158.97/158.70 => ( ! [B_y] : % 158.97/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_y),V_x_2)) ) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 158.97/158.70 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = V_x_2 ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_expand__Suc,axiom, % 158.97/158.70 ! [V_v] : % 158.97/158.70 ( 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))) % 158.97/158.70 => 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))) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_quotient__disj,axiom, % 158.97/158.70 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_a] : % 158.97/158.70 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 158.97/158.70 => ( V_X_2 = V_Y_2 % 158.97/158.70 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_com_Osize_I11_J,axiom, % 158.97/158.70 ! [V_com_2,V_fun_2,V_loc_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_com_Osize_I3_J,axiom, % 158.97/158.70 ! [V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_WTs__elim__cases_I3_J,axiom, % 158.97/158.70 ! [V_ca_2,V_a_2,V_Y_2] : % 158.97/158.70 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_Y_2,V_a_2,V_ca_2))) % 158.97/158.70 => hBOOL(hAPP(c_Com_OWT,V_ca_2)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_of__nat__number__of__lemma,axiom, % 158.97/158.70 ! [V_v,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => ( ( 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))) % 158.97/158.70 => 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) ) % 158.97/158.70 & ( ~ 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))) % 158.97/158.70 => 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) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_com_Osimps_I37_J,axiom, % 158.97/158.70 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 158.97/158.70 % 158.97/158.70 fof(fact_com_Osimps_I36_J,axiom, % 158.97/158.70 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ). % 158.97/158.70 % 158.97/158.70 fof(fact_com_Osimps_I35_J,axiom, % 158.97/158.70 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2] : c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 158.97/158.70 % 158.97/158.70 fof(fact_com_Osimps_I34_J,axiom, % 158.97/158.70 ! [V_com2_H_2,V_com1_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) ). % 158.97/158.70 % 158.97/158.70 fof(fact_com_Osimps_I10_J,axiom, % 158.97/158.70 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) ). % 158.97/158.70 % 158.97/158.70 fof(fact_com_Osimps_I11_J,axiom, % 158.97/158.70 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ). % 158.97/158.70 % 158.97/158.70 fof(fact_WT_Oequations_I3_J,axiom, % 158.97/158.70 ! [V_a1_2,V_a3_2,V_a2_2] : % 158.97/158.70 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_a2_2,V_a3_2,V_a1_2))) % 158.97/158.70 <=> hBOOL(hAPP(c_Com_OWT,V_a1_2)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_WT_OLocal,axiom, % 158.97/158.70 ! [V_a_2,V_Y_2,V_ca_2] : % 158.97/158.70 ( hBOOL(hAPP(c_Com_OWT,V_ca_2)) % 158.97/158.70 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_Y_2,V_a_2,V_ca_2))) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_of__int__number__of__eq,axiom, % 158.97/158.70 ! [V_v,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => 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) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_eq__number__of,axiom, % 158.97/158.70 ! [V_y_2,V_x_2,T_a] : % 158.97/158.70 ( ( class_Int_Onumber__ring(T_a) % 158.97/158.70 & class_Int_Oring__char__0(T_a) ) % 158.97/158.70 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2) % 158.97/158.70 <=> V_x_2 = V_y_2 ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_number__of__reorient,axiom, % 158.97/158.70 ! [V_x_2,V_w_2,T_a] : % 158.97/158.70 ( class_Int_Onumber(T_a) % 158.97/158.70 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = V_x_2 % 158.97/158.70 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_com_Osimps_I2_J,axiom, % 158.97/158.70 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] : % 158.97/158.70 ( c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) = c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) % 158.97/158.70 <=> ( V_loc_2 = V_loc_H_2 % 158.97/158.70 & V_fun_2 = V_fun_H_2 % 158.97/158.70 & V_com_2 = V_com_H_2 ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_number__of__eq,axiom, % 158.97/158.70 ! [V_k,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_com_Osimps_I41_J,axiom, % 158.97/158.70 ! [V_com_2,V_fun_2,V_loc_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 158.97/158.70 % 158.97/158.70 fof(fact_com_Osimps_I40_J,axiom, % 158.97/158.70 ! [V_pname_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ). % 158.97/158.70 % 158.97/158.70 fof(fact_com_Osimps_I39_J,axiom, % 158.97/158.70 ! [V_com_2,V_fun_2,V_loc_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 158.97/158.70 % 158.97/158.70 fof(fact_com_Osimps_I38_J,axiom, % 158.97/158.70 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 158.97/158.70 % 158.97/158.70 fof(fact_of__nat__number__of__eq,axiom, % 158.97/158.70 ! [V_v,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 158.97/158.70 => 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) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 158.97/158.70 => 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) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_le__number__of__eq__not__less,axiom, % 158.97/158.70 ! [V_w_2,V_v_2,T_a] : % 158.97/158.70 ( ( class_Int_Onumber(T_a) % 158.97/158.70 & class_Orderings_Olinorder(T_a) ) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 158.97/158.70 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2))) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_left__distrib__number__of,axiom, % 158.97/158.70 ! [V_v,V_b,V_a,T_b] : % 158.97/158.70 ( ( class_Int_Onumber(T_b) % 158.97/158.70 & class_Rings_Osemiring(T_b) ) % 158.97/158.70 => 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))) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_right__distrib__number__of,axiom, % 158.97/158.70 ! [V_c,V_b,V_v,T_b] : % 158.97/158.70 ( ( class_Int_Onumber(T_b) % 158.97/158.70 & class_Rings_Osemiring(T_b) ) % 158.97/158.70 => 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)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_right__diff__distrib__number__of,axiom, % 158.97/158.70 ! [V_c,V_b,V_v,T_b] : % 158.97/158.70 ( ( class_Int_Onumber(T_b) % 158.97/158.70 & class_Rings_Oring(T_b) ) % 158.97/158.70 => 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)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_left__diff__distrib__number__of,axiom, % 158.97/158.70 ! [V_v,V_b,V_a,T_b] : % 158.97/158.70 ( ( class_Int_Onumber(T_b) % 158.97/158.70 & class_Rings_Oring(T_b) ) % 158.97/158.70 => 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))) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_le__number__of,axiom, % 158.97/158.70 ! [V_y_2,V_x_2,T_a] : % 158.97/158.70 ( ( class_Int_Onumber__ring(T_a) % 158.97/158.70 & class_Rings_Olinordered__idom(T_a) ) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2))) % 158.97/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_less__number__of,axiom, % 158.97/158.70 ! [V_y_2,V_x_2,T_a] : % 158.97/158.70 ( ( class_Int_Onumber__ring(T_a) % 158.97/158.70 & class_Rings_Olinordered__idom(T_a) ) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2))) % 158.97/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_min__number__of,axiom, % 158.97/158.70 ! [V_v,V_u,T_b] : % 158.97/158.70 ( ( class_Int_Onumber(T_b) % 158.97/158.70 & class_Orderings_Oord(T_b) ) % 158.97/158.70 => ( ( 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))) % 158.97/158.70 => 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) ) % 158.97/158.70 & ( ~ 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))) % 158.97/158.70 => 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) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_max__number__of,axiom, % 158.97/158.70 ! [V_v,V_u,T_b] : % 158.97/158.70 ( ( class_Int_Onumber(T_b) % 158.97/158.70 & class_Orderings_Oord(T_b) ) % 158.97/158.70 => ( ( 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))) % 158.97/158.70 => 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) ) % 158.97/158.70 & ( ~ 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))) % 158.97/158.70 => 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) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_number__of__add,axiom, % 158.97/158.70 ! [V_w,V_v,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => 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)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_add__number__of__eq,axiom, % 158.97/158.70 ! [V_w,V_v,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => 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)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_add__number__of__left,axiom, % 158.97/158.70 ! [V_z,V_w,V_v,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => 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) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_number__of__mult,axiom, % 158.97/158.70 ! [V_w,V_v,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => 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)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_arith__simps_I32_J,axiom, % 158.97/158.70 ! [V_w,V_v,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => 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)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_mult__number__of__left,axiom, % 158.97/158.70 ! [V_z,V_w,V_v,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => 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) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_number__of__diff,axiom, % 158.97/158.70 ! [V_w,V_v,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => 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)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_number__of__minus,axiom, % 158.97/158.70 ! [V_w,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => 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)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_arith__simps_I30_J,axiom, % 158.97/158.70 ! [V_w,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => 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)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_Ints__number__of,axiom, % 158.97/158.70 ! [V_w_2,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Int_Oring__1__class_OInts(T_a))) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_divide__eq__eq__number__of1,axiom, % 158.97/158.70 ! [V_a_2,V_w_2,V_b_2,T_a] : % 158.97/158.70 ( ( class_Fields_Ofield__inverse__zero(T_a) % 158.97/158.70 & class_Int_Onumber(T_a) ) % 158.97/158.70 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) = V_a_2 % 158.97/158.70 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) != c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.70 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) ) % 158.97/158.70 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.70 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_divide__eq__eq__number__of,axiom, % 158.97/158.70 ! [V_w_2,V_ca_2,V_b_2,T_a] : % 158.97/158.70 ( ( class_Fields_Ofield__inverse__zero(T_a) % 158.97/158.70 & class_Int_Onumber(T_a) ) % 158.97/158.70 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) % 158.97/158.70 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.70 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2) ) % 158.97/158.70 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.70 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_eq__divide__eq__number__of,axiom, % 158.97/158.70 ! [V_ca_2,V_b_2,V_w_2,T_a] : % 158.97/158.70 ( ( class_Fields_Ofield__inverse__zero(T_a) % 158.97/158.70 & class_Int_Onumber(T_a) ) % 158.97/158.70 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) % 158.97/158.70 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.70 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2) = V_b_2 ) % 158.97/158.70 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.70 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_eq__divide__eq__number__of1,axiom, % 158.97/158.70 ! [V_w_2,V_b_2,V_a_2,T_a] : % 158.97/158.70 ( ( class_Fields_Ofield__inverse__zero(T_a) % 158.97/158.70 & class_Int_Onumber(T_a) ) % 158.97/158.70 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) % 158.97/158.70 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) != c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.70 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) = V_b_2 ) % 158.97/158.70 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a) % 158.97/158.70 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_add__number__of__diff1,axiom, % 158.97/158.70 ! [V_c,V_w,V_v,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => 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) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_minus__number__of__mult,axiom, % 158.97/158.70 ! [V_z,V_w,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => 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) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_diff__number__of__eq,axiom, % 158.97/158.70 ! [V_w,V_v,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => 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))) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_less__divide__eq__number__of1,axiom, % 158.97/158.70 ! [V_w_2,V_b_2,V_a_2,T_a] : % 158.97/158.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.97/158.70 & class_Int_Onumber(T_a) ) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) % 158.97/158.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 158.97/158.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_less__divide__eq__number__of,axiom, % 158.97/158.70 ! [V_ca_2,V_b_2,V_w_2,T_a] : % 158.97/158.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.97/158.70 & class_Int_Onumber(T_a) ) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2))) % 158.97/158.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.97/158.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_divide__less__eq__number__of,axiom, % 158.97/158.70 ! [V_w_2,V_ca_2,V_b_2,T_a] : % 158.97/158.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.97/158.70 & class_Int_Onumber(T_a) ) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 158.97/158.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.97/158.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) ) ) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_divide__less__eq__number__of1,axiom, % 158.97/158.70 ! [V_a_2,V_w_2,V_b_2,T_a] : % 158.97/158.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.97/158.70 & class_Int_Onumber(T_a) ) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_a_2)) % 158.97/158.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 158.97/158.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_abs__number__of,axiom, % 158.97/158.70 ! [V_x,T_a] : % 158.97/158.70 ( ( class_Int_Onumber__ring(T_a) % 158.97/158.70 & class_Rings_Olinordered__idom(T_a) ) % 158.97/158.70 => ( ( 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))) % 158.97/158.70 => 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)) ) % 158.97/158.70 & ( ~ 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))) % 158.97/158.70 => 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) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_add__number__of__diff2,axiom, % 158.97/158.70 ! [V_w,V_c,V_v,T_a] : % 158.97/158.70 ( class_Int_Onumber__ring(T_a) % 158.97/158.70 => 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) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_le__divide__eq__number__of1,axiom, % 158.97/158.70 ! [V_w_2,V_b_2,V_a_2,T_a] : % 158.97/158.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.97/158.70 & class_Int_Onumber(T_a) ) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) % 158.97/158.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 158.97/158.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_le__divide__eq__number__of,axiom, % 158.97/158.70 ! [V_ca_2,V_b_2,V_w_2,T_a] : % 158.97/158.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.97/158.70 & class_Int_Onumber(T_a) ) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2))) % 158.97/158.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.97/158.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_divide__le__eq__number__of,axiom, % 158.97/158.70 ! [V_w_2,V_ca_2,V_b_2,T_a] : % 158.97/158.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.97/158.70 & class_Int_Onumber(T_a) ) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 158.97/158.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2)) % 158.97/158.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) ) ) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_divide__le__eq__number__of1,axiom, % 158.97/158.70 ! [V_a_2,V_w_2,V_b_2,T_a] : % 158.97/158.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 158.97/158.70 & class_Int_Onumber(T_a) ) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_a_2)) % 158.97/158.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) % 158.97/158.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_equiv__class__self,axiom, % 158.97/158.70 ! [V_a_2,V_r_2,V_A_2,T_a] : % 158.97/158.70 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.97/158.70 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__equiv__class2,axiom, % 158.97/158.70 ! [V_a2_2,V_a1_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] : % 158.97/158.70 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2) % 158.97/158.70 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2) % 158.97/158.70 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a1_2),V_A1_2)) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a2_2),V_A2_2)) % 158.97/158.70 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),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_r2_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_UN__equiv__class,axiom, % 158.97/158.70 ! [V_a_2,V_f_2,T_b,V_r_2,V_A_2,T_a] : % 158.97/158.70 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 158.97/158.70 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.97/158.70 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_one__mod__nat__number__of,axiom, % 158.97/158.70 ! [V_v_H] : % 158.97/158.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 158.97/158.70 => 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)) ) % 158.97/158.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 158.97/158.70 => 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))) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_one__div__nat__number__of,axiom, % 158.97/158.70 ! [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))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_less__eq__number__of__int__code,axiom, % 158.97/158.70 ! [V_l_2,V_k_2] : % 158.97/158.70 ( 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))) % 158.97/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_plus__numeral__code_I9_J,axiom, % 158.97/158.70 ! [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)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_times__numeral__code_I5_J,axiom, % 158.97/158.70 ! [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)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_number__of__is__id,axiom, % 158.97/158.70 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ). % 158.97/158.70 % 158.97/158.70 fof(fact_less__number__of__int__code,axiom, % 158.97/158.70 ! [V_l_2,V_k_2] : % 158.97/158.70 ( 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))) % 158.97/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_minus__numeral__code_I5_J,axiom, % 158.97/158.70 ! [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)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_int__number__of__def,axiom, % 158.97/158.70 ! [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) ). % 158.97/158.70 % 158.97/158.70 fof(fact_nat__number__of,axiom, % 158.97/158.70 ! [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) ). % 158.97/158.70 % 158.97/158.70 fof(fact_nat__number__of__def,axiom, % 158.97/158.70 ! [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)) ). % 158.97/158.70 % 158.97/158.70 fof(fact_congruent2__implies__congruent,axiom, % 158.97/158.70 ! [V_a_2,V_f_2,V_r2_2,T_c,T_b,V_r1_2,V_A_2,T_a] : % 158.97/158.70 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r1_2) % 158.97/158.70 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,T_c,V_r1_2,V_r2_2,V_f_2) % 158.97/158.70 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 158.97/158.70 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_minus__numeral__code_I6_J,axiom, % 158.97/158.70 ! [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))) ). % 158.97/158.70 % 158.97/158.70 fof(fact_neg__imp__number__of__eq__0,axiom, % 158.97/158.70 ! [V_v] : % 158.97/158.70 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 158.97/158.70 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 158.97/158.70 % 158.97/158.70 fof(fact_int__eq__iff__number__of,axiom, % 158.97/158.70 ! [V_v_2,V_m_2] : % 158.97/158.70 ( 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) % 158.97/158.70 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)) % 158.97/158.70 & 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))) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_eq__nat__number__of,axiom, % 159.03/158.70 ! [V_v_H_2,V_v_2] : % 159.03/158.70 ( 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) % 159.03/158.70 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 159.03/158.70 => 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))) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 159.03/158.70 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 159.03/158.70 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 159.03/158.70 => V_v_2 = V_v_H_2 ) ) ) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__number__of__add__left,axiom, % 159.03/158.70 ! [V_k,V_v_H,V_v] : % 159.03/158.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 159.03/158.70 => 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) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 159.03/158.70 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 159.03/158.70 => 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) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 159.03/158.70 => 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) ) ) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_int__nat__number__of,axiom, % 159.03/158.70 ! [V_v] : % 159.03/158.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 159.03/158.70 => 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) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 159.03/158.70 => 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) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_mod__nat__number__of,axiom, % 159.03/158.70 ! [V_v_H,V_v] : % 159.03/158.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 159.03/158.70 => 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) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 159.03/158.70 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 159.03/158.70 => 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) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 159.03/158.70 => 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))) ) ) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_congruent2__implies__congruent__UN,axiom, % 159.03/158.70 ! [V_a_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] : % 159.03/158.70 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2) % 159.03/158.70 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2) % 159.03/158.70 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 159.03/158.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A2_2)) % 159.03/158.70 => c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_c,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),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_r2_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)) ) ) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_div__nat__number__of,axiom, % 159.03/158.70 ! [V_v_H,V_v] : % 159.03/158.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 159.03/158.70 => 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) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 159.03/158.70 => 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))) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_power__nat__number__of__number__of,axiom, % 159.03/158.70 ! [V_w,V_v] : % 159.03/158.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 159.03/158.70 => 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)) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 159.03/158.70 => 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))) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_power__nat__number__of,axiom, % 159.03/158.70 ! [V_n,V_v] : % 159.03/158.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 159.03/158.70 => 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) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 159.03/158.70 => 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)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Suc__nat__number__of__add,axiom, % 159.03/158.70 ! [V_n,V_v] : % 159.03/158.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 159.03/158.70 => 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) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 159.03/158.70 => 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) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_diff__nat__number__of,axiom, % 159.03/158.70 ! [V_v_2,V_v_H_2] : % 159.03/158.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 159.03/158.70 => 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) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 159.03/158.70 => 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)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_min__number__of__Suc,axiom, % 159.03/158.70 ! [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)))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_min__Suc__number__of,axiom, % 159.03/158.70 ! [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)))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I19_J,axiom, % 159.03/158.70 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_diff__bin__simps_I1_J,axiom, % 159.03/158.70 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 159.03/158.70 % 159.03/158.70 fof(fact_mult__Pls,axiom, % 159.03/158.70 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ). % 159.03/158.70 % 159.03/158.70 fof(fact_Pls__def,axiom, % 159.03/158.70 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I2_J,axiom, % 159.03/158.70 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_succ__pred,axiom, % 159.03/158.70 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ). % 159.03/158.70 % 159.03/158.70 fof(fact_add__Pls,axiom, % 159.03/158.70 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ). % 159.03/158.70 % 159.03/158.70 fof(fact_add__Pls__right,axiom, % 159.03/158.70 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 159.03/158.70 % 159.03/158.70 fof(fact_minus__Pls,axiom, % 159.03/158.70 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ). % 159.03/158.70 % 159.03/158.70 fof(fact_semiring__norm_I112_J,axiom, % 159.03/158.70 ! [T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_number__of__Pls,axiom, % 159.03/158.70 ! [T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_add__numeral__0__right,axiom, % 159.03/158.70 ! [V_a,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => 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 ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_add__numeral__0,axiom, % 159.03/158.70 ! [V_a,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => 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 ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_bin__less__0__simps_I1_J,axiom, % 159.03/158.70 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__number__of__Pls,axiom, % 159.03/158.70 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 159.03/158.70 % 159.03/158.70 fof(fact_semiring__norm_I113_J,axiom, % 159.03/158.70 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ). % 159.03/158.70 % 159.03/158.70 fof(fact_zero__is__num__zero,axiom, % 159.03/158.70 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Suc__diff__number__of,axiom, % 159.03/158.70 ! [V_m,V_v] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v)) % 159.03/158.70 => 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))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_not__neg__number__of__Pls,axiom, % 159.03/158.70 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__number__of__add__1,axiom, % 159.03/158.70 ! [V_v] : % 159.03/158.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 159.03/158.70 => 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) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 159.03/158.70 => 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)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__1__add__number__of,axiom, % 159.03/158.70 ! [V_v] : % 159.03/158.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 159.03/158.70 => 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) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 159.03/158.70 => 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)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_le__iff__pred__less,axiom, % 159.03/158.70 ! [V_l_2,V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_pred__def,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__number__of__diff__1,axiom, % 159.03/158.70 ! [V_v] : % 159.03/158.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 159.03/158.70 => 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) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 159.03/158.70 => 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)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_divide__Numeral0,axiom, % 159.03/158.70 ! [V_x,T_a] : % 159.03/158.70 ( ( class_Fields_Ofield__inverse__zero(T_a) % 159.03/158.70 & class_Int_Onumber__ring(T_a) ) % 159.03/158.70 => 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) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_eq__number__of__0,axiom, % 159.03/158.70 ! [V_v_2] : % 159.03/158.70 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_eq__0__number__of,axiom, % 159.03/158.70 ! [V_v_2] : % 159.03/158.70 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_number__of2,axiom, % 159.03/158.70 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))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_less__nat__number__of,axiom, % 159.03/158.70 ! [V_v_H_2,V_v_2] : % 159.03/158.70 ( 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))) % 159.03/158.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) % 159.03/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) ) % 159.03/158.70 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_le__nat__number__of,axiom, % 159.03/158.70 ! [V_v_H_2,V_v_2] : % 159.03/158.70 ( 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))) % 159.03/158.70 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2)) % 159.03/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_succ__def,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_le__special_I3_J,axiom, % 159.03/158.70 ! [V_x_2,T_a] : % 159.03/158.70 ( ( class_Int_Onumber__ring(T_a) % 159.03/158.70 & class_Rings_Olinordered__idom(T_a) ) % 159.03/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Ozero__class_Ozero(T_a))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_le__special_I1_J,axiom, % 159.03/158.70 ! [V_y_2,T_a] : % 159.03/158.70 ( ( class_Int_Onumber__ring(T_a) % 159.03/158.70 & class_Rings_Olinordered__idom(T_a) ) % 159.03/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_less__special_I3_J,axiom, % 159.03/158.70 ! [V_x_2,T_a] : % 159.03/158.70 ( ( class_Int_Onumber__ring(T_a) % 159.03/158.70 & class_Rings_Olinordered__idom(T_a) ) % 159.03/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Ozero__class_Ozero(T_a))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_less__special_I1_J,axiom, % 159.03/158.70 ! [V_y_2,T_a] : % 159.03/158.70 ( ( class_Int_Onumber__ring(T_a) % 159.03/158.70 & class_Rings_Olinordered__idom(T_a) ) % 159.03/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_less__0__number__of,axiom, % 159.03/158.70 ! [V_v_2] : % 159.03/158.70 ( 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))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_add__nat__number__of,axiom, % 159.03/158.70 ! [V_v_H,V_v] : % 159.03/158.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 159.03/158.70 => 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) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 159.03/158.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 159.03/158.70 => 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) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 159.03/158.70 => 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)) ) ) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_number__of__succ,axiom, % 159.03/158.70 ! [V_k,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => 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)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_number__of__pred,axiom, % 159.03/158.70 ! [V_w,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => 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)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_mult__nat__number__of,axiom, % 159.03/158.70 ! [V_v_H,V_v] : % 159.03/158.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 159.03/158.70 => 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) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 159.03/158.70 => 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)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__number__of__mult__left,axiom, % 159.03/158.70 ! [V_k,V_v_H,V_v] : % 159.03/158.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 159.03/158.70 => 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) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 159.03/158.70 => 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) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_neg__number__of__pred__iff__0,axiom, % 159.03/158.70 ! [V_v_2] : % 159.03/158.70 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2)))) % 159.03/158.70 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_eq__number__of__Suc,axiom, % 159.03/158.70 ! [V_n_2,V_v_2] : % 159.03/158.70 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2) % 159.03/158.70 <=> 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))))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Suc__eq__number__of,axiom, % 159.03/158.70 ! [V_v_2,V_n_2] : % 159.03/158.70 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 159.03/158.70 <=> 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))))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__case__number__of,axiom, % 159.03/158.70 ! [V_v_2,V_f_2,V_a_2,T_a] : c_Nat_Onat_Onat__case(T_a,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_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),V_f_2),c_Int_Onat))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_less__Suc__number__of,axiom, % 159.03/158.70 ! [V_v_2,V_n_2] : % 159.03/158.70 ( 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))) % 159.03/158.70 <=> 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))))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_less__number__of__Suc,axiom, % 159.03/158.70 ! [V_n_2,V_v_2] : % 159.03/158.70 ( 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))) % 159.03/158.70 <=> 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)))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_le__Suc__number__of,axiom, % 159.03/158.70 ! [V_v_2,V_n_2] : % 159.03/158.70 ( 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))) % 159.03/158.70 <=> 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))))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_le__number__of__Suc,axiom, % 159.03/158.70 ! [V_n_2,V_v_2] : % 159.03/158.70 ( 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))) % 159.03/158.70 <=> 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)))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Suc__nat__number__of,axiom, % 159.03/158.70 ! [V_v] : % 159.03/158.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 159.03/158.70 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 159.03/158.70 => 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)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_max__number__of__Suc,axiom, % 159.03/158.70 ! [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)))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_max__Suc__number__of,axiom, % 159.03/158.70 ! [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)))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__case__add__eq__if,axiom, % 159.03/158.70 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_a] : c_Nat_Onat_Onat__case(T_a,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_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_a,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__rec__add__eq__if,axiom, % 159.03/158.70 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,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_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,T_a),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_a,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_a,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))))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__rec__number__of,axiom, % 159.03/158.70 ! [V_v_2,V_f_2,V_a_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,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_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,T_a),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2)),c_Int_Onat)))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_UN__equiv__class__type2,axiom, % 159.03/158.70 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] : % 159.03/158.70 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2) % 159.03/158.70 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2) % 159.03/158.70 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 159.03/158.70 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A1_2),V_r1_2))) % 159.03/158.70 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A2_2),V_r2_2))) % 159.03/158.70 => ( ! [B_x1] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x1),V_A1_2)) % 159.03/158.70 => ! [B_x2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x2),V_A2_2)) % 159.03/158.70 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) ) % 159.03/158.70 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_c,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__rec__0,axiom, % 159.03/158.70 ! [V_f2_2,V_f1_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__rec__Suc,axiom, % 159.03/158.70 ! [V_nat_2,V_f2_2,V_f1_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,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_a,V_f1_2,V_f2_2),V_nat_2)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_UN__equiv__class__type,axiom, % 159.03/158.70 ! [V_B_2,V_X_2,V_f_2,T_b,V_r_2,V_A_2,T_a] : % 159.03/158.70 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 159.03/158.70 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2) % 159.03/158.70 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 159.03/158.70 => ( ! [B_x] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.03/158.70 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) ) % 159.03/158.70 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_eq__special_I1_J,axiom, % 159.03/158.70 ! [V_y_2,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2) % 159.03/158.70 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),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)))) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_eq__special_I3_J,axiom, % 159.03/158.70 ! [V_x_2,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = c_Groups_Ozero__class_Ozero(T_a) % 159.03/158.70 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),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)))) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_iszero__0,axiom, % 159.03/158.70 ! [T_a] : % 159.03/158.70 ( class_Rings_Osemiring__1(T_a) % 159.03/158.70 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_iszero__def,axiom, % 159.03/158.70 ! [V_z_2,T_a] : % 159.03/158.70 ( class_Rings_Osemiring__1(T_a) % 159.03/158.70 => ( c_Int_Oiszero(T_a,V_z_2) % 159.03/158.70 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_not__iszero__1,axiom, % 159.03/158.70 ! [T_a] : % 159.03/158.70 ( class_Rings_Osemiring__1(T_a) % 159.03/158.70 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_iszero__Numeral0,axiom, % 159.03/158.70 ! [T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_eq__number__of__eq,axiom, % 159.03/158.70 ! [V_y_2,V_x_2,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2) % 159.03/158.70 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),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)))) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_power__number__of__odd__number__of,axiom, % 159.03/158.70 ! [V_v_2,V_w_2,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => ( ( 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))) % 159.03/158.70 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),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_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)))),c_COMBI(T_a))) ) % 159.03/158.70 & ( ~ 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))) % 159.03/158.70 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),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_a) ) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_zpower__number__of__odd,axiom, % 159.03/158.70 ! [V_z_2,V_w_2] : % 159.03/158.70 ( ( 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))) % 159.03/158.70 => 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))) ) % 159.03/158.70 & ( ~ 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))) % 159.03/158.70 => 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) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_power__number__of__odd,axiom, % 159.03/158.70 ! [V_z_2,V_w_2,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => ( ( 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))) % 159.03/158.70 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z_2))),c_COMBI(T_a))) ) % 159.03/158.70 & ( ~ 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))) % 159.03/158.70 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a) ) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I46_J,axiom, % 159.03/158.70 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I39_J,axiom, % 159.03/158.70 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I17_J,axiom, % 159.03/158.70 ! [V_l_2,V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_less__int__code_I16_J,axiom, % 159.03/158.70 ! [V_k2_2,V_k1_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I51_J,axiom, % 159.03/158.70 ! [V_l_2,V_k_2] : % 159.03/158.70 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2) % 159.03/158.70 <=> V_k_2 = V_l_2 ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I34_J,axiom, % 159.03/158.70 ! [V_l_2,V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_less__eq__int__code_I16_J,axiom, % 159.03/158.70 ! [V_k2_2,V_k1_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_bin__less__0__simps_I4_J,axiom, % 159.03/158.70 ! [V_w_2] : % 159.03/158.70 ( 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))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I22_J,axiom, % 159.03/158.70 ! [V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I12_J,axiom, % 159.03/158.70 ! [V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Bit1__def,axiom, % 159.03/158.70 ! [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) ). % 159.03/158.70 % 159.03/158.70 fof(fact_neg__number__of__Bit1,axiom, % 159.03/158.70 ! [V_w_2] : % 159.03/158.70 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2)))) % 159.03/158.70 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_minus__Bit1,axiom, % 159.03/158.70 ! [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))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_iszero__number__of__Bit1,axiom, % 159.03/158.70 ! [V_w,T_a] : % 159.03/158.70 ( ( class_Int_Onumber__ring(T_a) % 159.03/158.70 & class_Int_Oring__char__0(T_a) ) % 159.03/158.70 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_succ__Pls,axiom, % 159.03/158.70 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ). % 159.03/158.70 % 159.03/158.70 fof(fact_number__of__Bit1,axiom, % 159.03/158.70 ! [V_w,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => 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)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_mult__numeral__1,axiom, % 159.03/158.70 ! [V_a,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => 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 ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_mult__numeral__1__right,axiom, % 159.03/158.70 ! [V_a,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => 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 ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_numeral__1__eq__1,axiom, % 159.03/158.70 ! [T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_semiring__norm_I110_J,axiom, % 159.03/158.70 ! [T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I5_J,axiom, % 159.03/158.70 ! [V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I29_J,axiom, % 159.03/158.70 ! [V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_divide__Numeral1,axiom, % 159.03/158.70 ! [V_x,T_a] : % 159.03/158.70 ( ( class_Fields_Ofield(T_a) % 159.03/158.70 & class_Int_Onumber__ring(T_a) ) % 159.03/158.70 => 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 ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_divide__numeral__1,axiom, % 159.03/158.70 ! [V_a,T_a] : % 159.03/158.70 ( ( class_Fields_Ofield(T_a) % 159.03/158.70 & class_Int_Onumber__ring(T_a) ) % 159.03/158.70 => 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 ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_one__is__num__one,axiom, % 159.03/158.70 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__numeral__1__eq__1,axiom, % 159.03/158.70 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Numeral1__eq1__nat,axiom, % 159.03/158.70 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom, % 159.03/158.70 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_not__iszero__Numeral1,axiom, % 159.03/158.70 ! [T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_numeral__1__eq__Suc__0,axiom, % 159.03/158.70 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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_numeral__3__eq__3,axiom, % 159.03/158.70 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)))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_power3__eq__cube,axiom, % 159.03/158.70 ! [V_a,T_a] : % 159.03/158.70 ( class_Groups_Omonoid__mult(T_a) % 159.03/158.70 => 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) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 159.03/158.70 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))))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Suc3__eq__add__3,axiom, % 159.03/158.70 ! [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) ). % 159.03/158.70 % 159.03/158.70 fof(fact_transfer__int__nat__numerals_I4_J,axiom, % 159.03/158.70 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)))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_transfer__nat__int__numerals_I4_J,axiom, % 159.03/158.70 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)))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_le__special_I2_J,axiom, % 159.03/158.70 ! [V_y_2,T_a] : % 159.03/158.70 ( ( class_Int_Onumber__ring(T_a) % 159.03/158.70 & class_Rings_Olinordered__idom(T_a) ) % 159.03/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_le__special_I4_J,axiom, % 159.03/158.70 ! [V_x_2,T_a] : % 159.03/158.70 ( ( class_Int_Onumber__ring(T_a) % 159.03/158.70 & class_Rings_Olinordered__idom(T_a) ) % 159.03/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Oone__class_Oone(T_a))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_less__special_I4_J,axiom, % 159.03/158.70 ! [V_x_2,T_a] : % 159.03/158.70 ( ( class_Int_Onumber__ring(T_a) % 159.03/158.70 & class_Rings_Olinordered__idom(T_a) ) % 159.03/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Oone__class_Oone(T_a))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_less__special_I2_J,axiom, % 159.03/158.70 ! [V_y_2,T_a] : % 159.03/158.70 ( ( class_Int_Onumber__ring(T_a) % 159.03/158.70 & class_Rings_Olinordered__idom(T_a) ) % 159.03/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_add__special_I2_J,axiom, % 159.03/158.70 ! [V_w,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => 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)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_add__special_I3_J,axiom, % 159.03/158.70 ! [V_v,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => 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))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Suc__diff__eq__diff__pred,axiom, % 159.03/158.70 ! [V_m,V_n] : % 159.03/158.70 ( 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)) % 159.03/158.70 => 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)))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_mod__Suc__eq__mod__add3,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Suc__mod__eq__add3__mod,axiom, % 159.03/158.70 ! [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) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_div__Suc__eq__div__add3,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Suc__div__eq__add3__div,axiom, % 159.03/158.70 ! [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) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Suc__div__eq__add3__div__number__of,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_diff__special_I2_J,axiom, % 159.03/158.70 ! [V_v,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => 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)))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_diff__special_I1_J,axiom, % 159.03/158.70 ! [V_w,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => 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))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_eq__special_I2_J,axiom, % 159.03/158.70 ! [V_y_2,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => ( c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2) % 159.03/158.70 <=> c_Int_Oiszero(T_a,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_y_2)))) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_eq__special_I4_J,axiom, % 159.03/158.70 ! [V_x_2,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = c_Groups_Oone__class_Oone(T_a) % 159.03/158.70 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),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))))) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__number__of__Bit1,axiom, % 159.03/158.70 ! [V_w_2] : % 159.03/158.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 159.03/158.70 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 159.03/158.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 159.03/158.70 => 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)))) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_neg__zmod__mult__2,axiom, % 159.03/158.70 ! [V_b,V_a] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.70 => 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)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_zmod__number__of__Bit1,axiom, % 159.03/158.70 ! [V_v,V_w] : % 159.03/158.70 ( ( 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))) % 159.03/158.70 => 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)) ) % 159.03/158.70 & ( ~ 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))) % 159.03/158.70 => 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)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_arith__series__int,axiom, % 159.03/158.70 ! [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)))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I49_J,axiom, % 159.03/158.70 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I50_J,axiom, % 159.03/158.70 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ). % 159.03/158.70 % 159.03/158.70 fof(fact_less__eq__int__code_I13_J,axiom, % 159.03/158.70 ! [V_k2_2,V_k1_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I31_J,axiom, % 159.03/158.70 ! [V_l_2,V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_diff__bin__simps_I7_J,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_less__int__code_I13_J,axiom, % 159.03/158.70 ! [V_k2_2,V_k1_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I14_J,axiom, % 159.03/158.70 ! [V_l_2,V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I48_J,axiom, % 159.03/158.70 ! [V_l_2,V_k_2] : % 159.03/158.70 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2) % 159.03/158.70 <=> V_k_2 = V_l_2 ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_minus__Bit0,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_mult__Bit0,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Bit0__def,axiom, % 159.03/158.70 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ). % 159.03/158.70 % 159.03/158.70 fof(fact_add__Bit0__Bit0,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Bit0__Pls,axiom, % 159.03/158.70 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I38_J,axiom, % 159.03/158.70 ! [V_l_2] : % 159.03/158.70 ( c_Int_OPls = c_Int_OBit0(V_l_2) % 159.03/158.70 <=> c_Int_OPls = V_l_2 ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I44_J,axiom, % 159.03/158.70 ! [V_k_2] : % 159.03/158.70 ( c_Int_OBit0(V_k_2) = c_Int_OPls % 159.03/158.70 <=> V_k_2 = c_Int_OPls ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_bin__less__0__simps_I3_J,axiom, % 159.03/158.70 ! [V_w_2] : % 159.03/158.70 ( 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))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I21_J,axiom, % 159.03/158.70 ! [V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I27_J,axiom, % 159.03/158.70 ! [V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I32_J,axiom, % 159.03/158.70 ! [V_l_2,V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_less__eq__int__code_I14_J,axiom, % 159.03/158.70 ! [V_k2_2,V_k1_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I4_J,axiom, % 159.03/158.70 ! [V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I10_J,axiom, % 159.03/158.70 ! [V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I16_J,axiom, % 159.03/158.70 ! [V_l_2,V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_less__int__code_I15_J,axiom, % 159.03/158.70 ! [V_k2_2,V_k1_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_add__Bit0__Bit1,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_add__Bit1__Bit0,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_diff__bin__simps_I3_J,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_diff__bin__simps_I10_J,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_diff__bin__simps_I9_J,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_zdiv__number__of__Bit0,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_neg__number__of__Bit0,axiom, % 159.03/158.70 ! [V_w_2] : % 159.03/158.70 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2)))) % 159.03/158.70 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_pred__Bit1,axiom, % 159.03/158.70 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ). % 159.03/158.70 % 159.03/158.70 fof(fact_pred__Bit0,axiom, % 159.03/158.70 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_iszero__number__of__Bit0,axiom, % 159.03/158.70 ! [V_w_2,T_a] : % 159.03/158.70 ( ( class_Int_Onumber__ring(T_a) % 159.03/158.70 & class_Int_Oring__char__0(T_a) ) % 159.03/158.70 => ( c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w_2))) % 159.03/158.70 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_succ__Bit0,axiom, % 159.03/158.70 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ). % 159.03/158.70 % 159.03/158.70 fof(fact_succ__Bit1,axiom, % 159.03/158.70 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__number__of__Bit0,axiom, % 159.03/158.70 ! [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))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_number__of__Bit0,axiom, % 159.03/158.70 ! [V_w,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => 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)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_less__eq__int__code_I15_J,axiom, % 159.03/158.70 ! [V_k2_2,V_k1_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I33_J,axiom, % 159.03/158.70 ! [V_l_2,V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_less__int__code_I14_J,axiom, % 159.03/158.70 ! [V_k2_2,V_k1_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_rel__simps_I15_J,axiom, % 159.03/158.70 ! [V_l_2,V_k_2] : % 159.03/158.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_card__UNIV__bool,axiom, % 159.03/158.70 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))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_mult__Bit1,axiom, % 159.03/158.70 ! [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) ). % 159.03/158.70 % 159.03/158.70 fof(fact_diff__bin__simps_I8_J,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_add__Bit1__Bit1,axiom, % 159.03/158.70 ! [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))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_power__number__of__even,axiom, % 159.03/158.70 ! [V_w_2,V_z_2,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Otimes__class_Otimes(T_a)),c_COMBI(T_a))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_zpower__number__of__even,axiom, % 159.03/158.70 ! [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))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_double__number__of__Bit0,axiom, % 159.03/158.70 ! [V_w,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => 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)) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_number__of1,axiom, % 159.03/158.70 ! [V_n] : % 159.03/158.70 ( 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))) % 159.03/158.70 => ( 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)))) % 159.03/158.70 & 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)))) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom, % 159.03/158.70 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_power__number__of__even__number__of,axiom, % 159.03/158.70 ! [V_w_2,V_v_2,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),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_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Otimes__class_Otimes(T_a)),c_COMBI(T_a))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_mult__2,axiom, % 159.03/158.70 ! [V_z,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => 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) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_mult__2__right,axiom, % 159.03/158.70 ! [V_z,T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => 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) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_one__add__one__is__two,axiom, % 159.03/158.70 ! [T_a] : % 159.03/158.70 ( class_Int_Onumber__ring(T_a) % 159.03/158.70 => 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))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_zero__eq__power2,axiom, % 159.03/158.70 ! [V_a_2,T_a] : % 159.03/158.70 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 159.03/158.70 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a) % 159.03/158.70 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_zero__power2,axiom, % 159.03/158.70 ! [T_a] : % 159.03/158.70 ( class_Rings_Osemiring__1(T_a) % 159.03/158.70 => 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) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_numeral__2__eq__2,axiom, % 159.03/158.70 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))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_semiring__norm_I115_J,axiom, % 159.03/158.70 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))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 159.03/158.70 ! [V_x,T_a] : % 159.03/158.70 ( class_Rings_Ocomm__semiring__1(T_a) % 159.03/158.70 => 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)))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_power2__eq__square,axiom, % 159.03/158.70 ! [V_a,T_a] : % 159.03/158.70 ( class_Groups_Omonoid__mult(T_a) % 159.03/158.70 => 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) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 159.03/158.70 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))))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_add__2__eq__Suc_H,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_add__2__eq__Suc,axiom, % 159.03/158.70 ! [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)) ). % 159.03/158.70 % 159.03/158.70 fof(fact_one__power2,axiom, % 159.03/158.70 ! [T_a] : % 159.03/158.70 ( class_Rings_Osemiring__1(T_a) % 159.03/158.70 => 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) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_power2__minus,axiom, % 159.03/158.70 ! [V_a,T_a] : % 159.03/158.70 ( class_Rings_Oring__1(T_a) % 159.03/158.70 => 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)))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__mult__2,axiom, % 159.03/158.70 ! [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) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__mult__2__right,axiom, % 159.03/158.70 ! [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) ). % 159.03/158.70 % 159.03/158.70 fof(fact_power__even__eq,axiom, % 159.03/158.70 ! [V_n,V_a,T_a] : % 159.03/158.70 ( class_Groups_Omonoid__mult(T_a) % 159.03/158.70 => 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)))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_transfer__int__nat__numerals_I3_J,axiom, % 159.03/158.70 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)))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_transfer__nat__int__numerals_I3_J,axiom, % 159.03/158.70 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)))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_power2__abs,axiom, % 159.03/158.70 ! [V_a,T_a] : % 159.03/158.70 ( class_Rings_Olinordered__idom(T_a) % 159.03/158.70 => 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)))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_abs__power2,axiom, % 159.03/158.70 ! [V_a,T_a] : % 159.03/158.70 ( class_Rings_Olinordered__idom(T_a) % 159.03/158.70 => 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)))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_nat__1__add__1,axiom, % 159.03/158.70 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))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_mod2__Suc__Suc,axiom, % 159.03/158.70 ! [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)))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_div2__Suc__Suc,axiom, % 159.03/158.70 ! [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))))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_zmod__number__of__Bit0,axiom, % 159.03/158.70 ! [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))) ). % 159.03/158.70 % 159.03/158.70 fof(fact_add__self__div__2,axiom, % 159.03/158.70 ! [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 ). % 159.03/158.70 % 159.03/158.70 fof(fact_half__gt__zero__iff,axiom, % 159.03/158.70 ! [V_r_2,T_a] : % 159.03/158.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 159.03/158.70 & class_Int_Onumber__ring(T_a) ) % 159.03/158.70 => ( 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_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 159.03/158.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r_2)) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_half__gt__zero,axiom, % 159.03/158.70 ! [V_r,T_a] : % 159.03/158.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 159.03/158.70 & class_Int_Onumber__ring(T_a) ) % 159.03/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r)) % 159.03/158.70 => 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)))))) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_power2__eq__imp__eq,axiom, % 159.03/158.70 ! [V_y,V_x,T_a] : % 159.03/158.70 ( class_Rings_Olinordered__semidom(T_a) % 159.03/158.70 => ( 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)))) % 159.03/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 159.03/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 159.03/158.70 => V_x = V_y ) ) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_power2__le__imp__le,axiom, % 159.03/158.70 ! [V_y,V_x,T_a] : % 159.03/158.70 ( class_Rings_Olinordered__semidom(T_a) % 159.03/158.70 => ( 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)))))) % 159.03/158.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 159.03/158.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_zero__le__power2,axiom, % 159.03/158.70 ! [V_a,T_a] : % 159.03/158.70 ( class_Rings_Olinordered__idom(T_a) % 159.03/158.70 => 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)))))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_power2__less__0,axiom, % 159.03/158.70 ! [V_a,T_a] : % 159.03/158.70 ( class_Rings_Olinordered__idom(T_a) % 159.03/158.70 => ~ 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))) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_zero__less__power2,axiom, % 159.03/158.70 ! [V_a_2,T_a] : % 159.03/158.70 ( class_Rings_Olinordered__idom(T_a) % 159.03/158.70 => ( 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_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 159.03/158.70 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_sum__power2__eq__zero__iff,axiom, % 159.03/158.70 ! [V_y_2,V_x_2,T_a] : % 159.03/158.70 ( class_Rings_Olinordered__idom(T_a) % 159.03/158.70 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a),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_a) % 159.03/158.70 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 159.03/158.70 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 159.03/158.70 % 159.03/158.70 fof(fact_power2__eq__square__number__of,axiom, % 159.03/158.70 ! [V_w,T_b] : % 159.03/158.70 ( ( class_Groups_Omonoid__mult(T_b) % 159.03/158.70 & class_Int_Onumber(T_b) ) % 159.03/158.70 => 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)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_less__2__cases,axiom, % 159.03/158.71 ! [V_n] : % 159.03/158.71 ( 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))))) % 159.03/158.71 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.03/158.71 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_nat__2,axiom, % 159.03/158.71 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))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_power2__eq__1__iff,axiom, % 159.03/158.71 ! [V_a_2,T_a] : % 159.03/158.71 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 159.03/158.71 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a) % 159.03/158.71 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_a) % 159.03/158.71 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 159.03/158.71 ! [V_n,V_x,T_a] : % 159.03/158.71 ( class_Rings_Ocomm__semiring__1(T_a) % 159.03/158.71 => 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)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_power__minus__even,axiom, % 159.03/158.71 ! [V_n,V_a,T_a] : % 159.03/158.71 ( class_Rings_Oring__1(T_a) % 159.03/158.71 => 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)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_power2__less__imp__less,axiom, % 159.03/158.71 ! [V_y,V_x,T_a] : % 159.03/158.71 ( class_Rings_Olinordered__semidom(T_a) % 159.03/158.71 => ( 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)))))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_sum__power2__ge__zero,axiom, % 159.03/158.71 ! [V_y,V_x,T_a] : % 159.03/158.71 ( class_Rings_Olinordered__idom(T_a) % 159.03/158.71 => 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))))))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_sum__power2__le__zero__iff,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,T_a] : % 159.03/158.71 ( class_Rings_Olinordered__idom(T_a) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a),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_a))) % 159.03/158.71 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 159.03/158.71 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_sum__power2__gt__zero__iff,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,T_a] : % 159.03/158.71 ( class_Rings_Olinordered__idom(T_a) % 159.03/158.71 => ( 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),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) % 159.03/158.71 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a) % 159.03/158.71 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_not__sum__power2__lt__zero,axiom, % 159.03/158.71 ! [V_y,V_x,T_a] : % 159.03/158.71 ( class_Rings_Olinordered__idom(T_a) % 159.03/158.71 => ~ 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))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_power2__sum,axiom, % 159.03/158.71 ! [V_y,V_x,T_a] : % 159.03/158.71 ( class_Int_Onumber__ring(T_a) % 159.03/158.71 => 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)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zero__le__even__power_H,axiom, % 159.03/158.71 ! [V_n,V_a,T_a] : % 159.03/158.71 ( class_Rings_Olinordered__idom(T_a) % 159.03/158.71 => 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)))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_power__odd__eq,axiom, % 159.03/158.71 ! [V_n,V_a,T_a] : % 159.03/158.71 ( class_Groups_Omonoid__mult(T_a) % 159.03/158.71 => 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))))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom, % 159.03/158.71 ! [V_n,V_x,T_a] : % 159.03/158.71 ( class_Rings_Ocomm__semiring__1(T_a) % 159.03/158.71 => 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))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_power__minus1__even,axiom, % 159.03/158.71 ! [V_n,T_a] : % 159.03/158.71 ( class_Rings_Oring__1(T_a) % 159.03/158.71 => 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zdiv__number__of__Bit1,axiom, % 159.03/158.71 ! [V_v,V_w] : % 159.03/158.71 ( ( 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))) % 159.03/158.71 => 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)) ) % 159.03/158.71 & ( ~ 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))) % 159.03/158.71 => 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)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mod2__gr__0,axiom, % 159.03/158.71 ! [V_m_2] : % 159.03/158.71 ( 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)))))) % 159.03/158.71 <=> 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_div__2__gt__zero,axiom, % 159.03/158.71 ! [V_n] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 159.03/158.71 => 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)))))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_power2__diff,axiom, % 159.03/158.71 ! [V_y,V_x,T_a] : % 159.03/158.71 ( class_Int_Onumber__ring(T_a) % 159.03/158.71 => 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)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_odd__0__le__power__imp__0__le,axiom, % 159.03/158.71 ! [V_n,V_a,T_a] : % 159.03/158.71 ( class_Rings_Olinordered__idom(T_a) % 159.03/158.71 => ( 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))))) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_odd__power__less__zero,axiom, % 159.03/158.71 ! [V_n,V_a,T_a] : % 159.03/158.71 ( class_Rings_Olinordered__idom(T_a) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 159.03/158.71 => 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))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_power__minus1__odd,axiom, % 159.03/158.71 ! [V_n,T_a] : % 159.03/158.71 ( class_Rings_Oring__1(T_a) % 159.03/158.71 => 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)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Suc__n__div__2__gt__zero,axiom, % 159.03/158.71 ! [V_n] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 159.03/158.71 => 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)))))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_of__nat__double,axiom, % 159.03/158.71 ! [V_x,T_a] : % 159.03/158.71 ( class_Rings_Osemiring__1(T_a) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 159.03/158.71 => 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))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_pos__zmod__mult__2,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 159.03/158.71 => 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))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_pos__zdiv__mult__2,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 159.03/158.71 => 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_neg__zdiv__mult__2,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_int__of__code,axiom, % 159.03/158.71 ! [V_k] : % 159.03/158.71 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 159.03/158.71 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 159.03/158.71 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 159.03/158.71 => ( ( 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) % 159.03/158.71 => 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)))))) ) % 159.03/158.71 & ( 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) % 159.03/158.71 => 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)) ) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_of__int__num,axiom, % 159.03/158.71 ! [V_k_2,T_a] : % 159.03/158.71 ( class_Rings_Oring__1(T_a) % 159.03/158.71 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = c_Groups_Ozero__class_Ozero(T_a) ) % 159.03/158.71 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) ) % 159.03/158.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_a,T_a)),tc_fun(tc_Int_Oint,T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),T_a),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_a,T_a)),tc_fun(tc_Int_Oint,T_a)),tc_Int_Oint),c_COMBB(tc_fun(T_a,T_a),T_a,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_fun(T_a,T_a),T_a),tc_Int_Oint),c_HOL_OLet(T_a,T_a)),c_Int_Oring__1__class_Oof__int(T_a)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_a,T_a),tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,T_a)),tc_Int_Oint),c_COMBS(T_a,T_a,T_a)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_a,T_a),tc_fun(T_a,tc_fun(T_a,T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_fun(T_a,T_a))),tc_Int_Oint),c_COMBB(T_a,tc_fun(T_a,T_a),T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),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_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_COMBI(T_a))))),hAPP(hAPP(c_COMBC(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Oplus__class_Oplus(T_a)),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_COMBI(T_a)))),c_Groups_Oone__class_Oone(T_a))))),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))))) ) ) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_power__m1__odd,axiom, % 159.03/158.71 ! [V_n,T_a] : % 159.03/158.71 ( class_Int_Onumber__ring(T_a) % 159.03/158.71 => 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I45_J,axiom, % 159.03/158.71 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I42_J,axiom, % 159.03/158.71 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I37_J,axiom, % 159.03/158.71 c_Int_OPls != c_Int_OMin ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I40_J,axiom, % 159.03/158.71 c_Int_OMin != c_Int_OPls ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I7_J,axiom, % 159.03/158.71 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_code__numeral__zero__minus__one,axiom, % 159.03/158.71 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) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I24_J,axiom, % 159.03/158.71 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I47_J,axiom, % 159.03/158.71 ! [V_k_2] : % 159.03/158.71 ( c_Int_OBit1(V_k_2) = c_Int_OMin % 159.03/158.71 <=> V_k_2 = c_Int_OMin ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I43_J,axiom, % 159.03/158.71 ! [V_l_2] : % 159.03/158.71 ( c_Int_OMin = c_Int_OBit1(V_l_2) % 159.03/158.71 <=> c_Int_OMin = V_l_2 ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Bit1__Min,axiom, % 159.03/158.71 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ). % 159.03/158.71 % 159.03/158.71 fof(fact_bin__less__0__simps_I2_J,axiom, % 159.03/158.71 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I20_J,axiom, % 159.03/158.71 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I23_J,axiom, % 159.03/158.71 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I30_J,axiom, % 159.03/158.71 ! [V_k_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I26_J,axiom, % 159.03/158.71 ! [V_k_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I3_J,axiom, % 159.03/158.71 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I6_J,axiom, % 159.03/158.71 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I13_J,axiom, % 159.03/158.71 ! [V_k_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I9_J,axiom, % 159.03/158.71 ! [V_k_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I28_J,axiom, % 159.03/158.71 ! [V_k_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I8_J,axiom, % 159.03/158.71 ! [V_k_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_eq__number__of__Pls__Min,axiom, % 159.03/158.71 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) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Int_OMin__def,axiom, % 159.03/158.71 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mult__Min,axiom, % 159.03/158.71 ! [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) ). % 159.03/158.71 % 159.03/158.71 fof(fact_neg__number__of__Min,axiom, % 159.03/158.71 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_pred__Pls,axiom, % 159.03/158.71 c_Int_Opred(c_Int_OPls) = c_Int_OMin ). % 159.03/158.71 % 159.03/158.71 fof(fact_add__Min__right,axiom, % 159.03/158.71 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ). % 159.03/158.71 % 159.03/158.71 fof(fact_add__Min,axiom, % 159.03/158.71 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ). % 159.03/158.71 % 159.03/158.71 fof(fact_pred__Min,axiom, % 159.03/158.71 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ). % 159.03/158.71 % 159.03/158.71 fof(fact_nonzero__number__of__Min,axiom, % 159.03/158.71 ! [T_a] : % 159.03/158.71 ( class_Int_Onumber__ring(T_a) % 159.03/158.71 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_succ__Min,axiom, % 159.03/158.71 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ). % 159.03/158.71 % 159.03/158.71 fof(fact_diff__bin__simps_I2_J,axiom, % 159.03/158.71 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mult__minus1,axiom, % 159.03/158.71 ! [V_z,T_a] : % 159.03/158.71 ( class_Int_Onumber__ring(T_a) % 159.03/158.71 => 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mult__minus1__right,axiom, % 159.03/158.71 ! [V_z,T_a] : % 159.03/158.71 ( class_Int_Onumber__ring(T_a) % 159.03/158.71 => 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_arith__simps_I31_J,axiom, % 159.03/158.71 ! [T_a] : % 159.03/158.71 ( class_Int_Onumber__ring(T_a) % 159.03/158.71 => 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_number__of__Min,axiom, % 159.03/158.71 ! [T_a] : % 159.03/158.71 ( class_Int_Onumber__ring(T_a) % 159.03/158.71 => 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)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_abs__minus__one,axiom, % 159.03/158.71 ! [T_a] : % 159.03/158.71 ( ( class_Int_Onumber__ring(T_a) % 159.03/158.71 & class_Rings_Olinordered__idom(T_a) ) % 159.03/158.71 => 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divide__minus1,axiom, % 159.03/158.71 ! [V_x,T_a] : % 159.03/158.71 ( ( class_Fields_Ofield__inverse__zero(T_a) % 159.03/158.71 & class_Int_Onumber__ring(T_a) ) % 159.03/158.71 => 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I25_J,axiom, % 159.03/158.71 ! [V_k_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rel__simps_I11_J,axiom, % 159.03/158.71 ! [V_k_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zmod__minus1__right,axiom, % 159.03/158.71 ! [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) ). % 159.03/158.71 % 159.03/158.71 fof(fact_diff__bin__simps_I4_J,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_minus__Min,axiom, % 159.03/158.71 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ). % 159.03/158.71 % 159.03/158.71 fof(fact_pos__zmult__eq__1__iff__lemma,axiom, % 159.03/158.71 ! [V_n,V_m] : % 159.03/158.71 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 159.03/158.71 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint) % 159.03/158.71 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zmult__eq__1__iff,axiom, % 159.03/158.71 ! [V_n_2,V_m_2] : % 159.03/158.71 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 159.03/158.71 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 159.03/158.71 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 159.03/158.71 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) % 159.03/158.71 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_diff__bin__simps_I6_J,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_diff__bin__simps_I5_J,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_of__int__m1,axiom, % 159.03/158.71 ! [T_a] : % 159.03/158.71 ( class_Int_Onumber__ring(T_a) % 159.03/158.71 => 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zdiv__minus1__right,axiom, % 159.03/158.71 ! [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) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zero__code__numeral__code,axiom, % 159.03/158.71 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) ). % 159.03/158.71 % 159.03/158.71 fof(fact_minus1__divide,axiom, % 159.03/158.71 ! [V_x,T_a] : % 159.03/158.71 ( ( class_Fields_Ofield__inverse__zero(T_a) % 159.03/158.71 & class_Int_Onumber__ring(T_a) ) % 159.03/158.71 => 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)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_abs__power__minus__one,axiom, % 159.03/158.71 ! [V_n,T_a] : % 159.03/158.71 ( ( class_Int_Onumber__ring(T_a) % 159.03/158.71 & class_Rings_Olinordered__idom(T_a) ) % 159.03/158.71 => 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_div__eq__minus1,axiom, % 159.03/158.71 ! [V_b] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 159.03/158.71 => 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_div__pos__neg__trivial,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 159.03/158.71 => ( 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))) % 159.03/158.71 => 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) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zmod__minus1,axiom, % 159.03/158.71 ! [V_b] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 159.03/158.71 => 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)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_one__code__numeral__code,axiom, % 159.03/158.71 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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_power__m1__even,axiom, % 159.03/158.71 ! [V_n,T_a] : % 159.03/158.71 ( class_Int_Onumber__ring(T_a) % 159.03/158.71 => 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Nitpick_OFrac__def,axiom, % 159.03/158.71 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)))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_small__int__def,axiom, % 159.03/158.71 ! [V_d_2,V_f_2] : hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint),V_f_2),V_d_2) = c_Smallcheck_Osmall_H(V_f_2,hAPP(c_Code__Numeral_Oint__of,V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Code__Numeral_Oint__of,V_d_2))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_int__ge__less__than__def,axiom, % 159.03/158.71 ! [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)))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_inj__graph,axiom, % 159.03/158.71 ! [T_b,T_a] : c_Fun_Oinj__on(tc_fun(T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,T_b)),c_Set_OCollect(tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,T_b)),c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool)),hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_int__ge__less__than2__def,axiom, % 159.03/158.71 ! [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)))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Nitpick_Oprod__def,axiom, % 159.03/158.71 ! [V_B_2,V_A_2,T_b,T_a] : c_Nitpick_Oprod(T_a,T_b,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),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)))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_nat__of__aux__code,axiom, % 159.03/158.71 ! [V_n,V_i] : % 159.03/158.71 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 159.03/158.71 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n ) % 159.03/158.71 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 159.03/158.71 => 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)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__int__rel__def,axiom, % 159.03/158.71 ! [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))))))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_finite__psubset__def,axiom, % 159.03/158.71 ! [T_a] : c_Wellfounded_Ofinite__psubset(T_a) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBS(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_a)))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_full__small__int__def,axiom, % 159.03/158.71 ! [V_d_2,V_f_2] : c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint,V_f_2,V_d_2) = c_Smallcheck_Ofull__small_H(V_f_2,hAPP(c_Code__Numeral_Oint__of,V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Code__Numeral_Oint__of,V_d_2))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__int__correct,axiom, % 159.03/158.71 ! [V_a,V_b] : % 159.03/158.71 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zmult2__lemma,axiom, % 159.03/158.71 ! [V_c,V_r,V_q,V_b,V_a] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 159.03/158.71 => 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)))) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_code__numeral_Osize_I1_J,axiom, % 159.03/158.71 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) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Nats__number__of,axiom, % 159.03/158.71 ! [V_w_2,T_a] : % 159.03/158.71 ( class_Int_Onumber__ring(T_a) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_congruent2D,axiom, % 159.03/158.71 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_c,T_b,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Ocongruent2(T_a,T_b,T_c,V_r1_2,V_r2_2,V_f_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y1_2),V_z1_2)),V_r1_2)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y2_2),V_z2_2)),V_r2_2)) % 159.03/158.71 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_congruentD,axiom, % 159.03/158.71 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_b,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Ocongruent(T_a,T_b,V_r_2,V_f_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),V_r_2)) % 159.03/158.71 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_pred__equals__eq2,axiom, % 159.03/158.71 ! [V_S_2,V_R_2,T_b,T_a] : % 159.03/158.71 ( hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2) = hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2) % 159.03/158.71 <=> V_R_2 = V_S_2 ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_inf__Int__eq2,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)),V_x_2),V_y_2)) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_bot__empty__eq2,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_x_2),V_y_2)) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_pred__subset__eq2,axiom, % 159.03/158.71 ! [V_S_2,V_R_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2))) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_sup__Un__eq2,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)),V_x_2),V_y_2)) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_small__prod__def,axiom, % 159.03/158.71 ! [V_d_2,V_f_2,T_a,T_b] : % 159.03/158.71 ( ( class_Smallcheck_Osmall(T_b) % 159.03/158.71 & class_Smallcheck_Osmall(T_a) ) % 159.03/158.71 => hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(T_a,T_b)),V_f_2),V_d_2) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(T_a),hAPP(hAPP(c_COMBC(T_a,tc_Code__Numeral_Ocode__numeral,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),T_a),c_Smallcheck_Osmall__class_Osmall(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),T_b),V_f_2)),c_Product__Type_OPair(T_a,T_b)))),V_d_2)),V_d_2) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rev__ImageI,axiom, % 159.03/158.71 ! [V_r_2,V_b_2,T_b,V_A_2,V_a_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_A_2))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Image__iff,axiom, % 159.03/158.71 ! [V_A_2,V_r_2,T_b,V_b_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2))) % 159.03/158.71 <=> ? [B_x] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 159.03/158.71 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__int__rel__0,axiom, % 159.03/158.71 ! [V_b] : % 159.03/158.71 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => 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)))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_self__remainder,axiom, % 159.03/158.71 ! [V_r,V_q,V_a] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_unique__quotient,axiom, % 159.03/158.71 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( 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))) % 159.03/158.71 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => V_q = V_q_H ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_unique__remainder,axiom, % 159.03/158.71 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( 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))) % 159.03/158.71 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => V_r = V_r_H ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_SUP__UN__eq2,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_r_2,T_c,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_a),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)) % 159.03/158.71 <=> 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_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_self__quotient,axiom, % 159.03/158.71 ! [V_r,V_q,V_a] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__int__rel__mod,axiom, % 159.03/158.71 ! [V_r,V_q,V_b,V_a] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__int__rel__div,axiom, % 159.03/158.71 ! [V_r,V_q,V_b,V_a] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Nats__0,axiom, % 159.03/158.71 ! [T_a] : % 159.03/158.71 ( class_Rings_Osemiring__1(T_a) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__int__mod__div,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Nats__add,axiom, % 159.03/158.71 ! [V_b_2,V_a_2,T_a] : % 159.03/158.71 ( class_Rings_Osemiring__1(T_a) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Nat_Osemiring__1__class_ONats(T_a))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Nat_Osemiring__1__class_ONats(T_a))) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Nats__mult,axiom, % 159.03/158.71 ! [V_b_2,V_a_2,T_a] : % 159.03/158.71 ( class_Rings_Osemiring__1(T_a) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Nat_Osemiring__1__class_ONats(T_a))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Nat_Osemiring__1__class_ONats(T_a))) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Nats__1,axiom, % 159.03/158.71 ! [T_a] : % 159.03/158.71 ( class_Rings_Osemiring__1(T_a) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Oone__class_Oone(T_a)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_of__nat__in__Nats,axiom, % 159.03/158.71 ! [V_n_2,T_a] : % 159.03/158.71 ( class_Rings_Osemiring__1(T_a) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Image__singleton__iff,axiom, % 159.03/158.71 ! [V_a_2,V_r_2,T_b,V_b_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,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)))))) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2),V_b_2)),V_r_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_equiv__class__eq,axiom, % 159.03/158.71 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 159.03/158.71 => hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_quotient__eq__iff,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_X_2)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_Y_2)) % 159.03/158.71 => ( V_X_2 = V_Y_2 % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_quotient__eqI,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_X_2)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_Y_2)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 159.03/158.71 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__int__rel__div__mod,axiom, % 159.03/158.71 ! [V_a,V_b] : % 159.03/158.71 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => 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)))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Image__singleton,axiom, % 159.03/158.71 ! [V_a_2,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,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_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_b,T_a))),hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2))),V_r_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_equiv__class__eq__iff,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 159.03/158.71 <=> ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 159.03/158.71 & hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.03/158.71 & hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_eq__equiv__class__iff,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) % 159.03/158.71 => ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_eq__equiv__class,axiom, % 159.03/158.71 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_a] : % 159.03/158.71 ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 159.03/158.71 => ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_equiv__class__subset,axiom, % 159.03/158.71 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_eq__equiv__class__iff2,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) % 159.03/158.71 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zadd1__lemma,axiom, % 159.03/158.71 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( 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))) % 159.03/158.71 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => 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)))) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zminus1__lemma,axiom, % 159.03/158.71 ! [V_r_2,V_q_2,V_b_2,V_a_2] : % 159.03/158.71 ( 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))) % 159.03/158.71 => 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))))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_subset__equiv__class,axiom, % 159.03/158.71 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_equiv__class__nondisjoint,axiom, % 159.03/158.71 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__int__relI,axiom, % 159.03/158.71 ! [V_r,V_q,V_b,V_a] : % 159.03/158.71 ( 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) % 159.03/158.71 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 159.03/158.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) ) % 159.03/158.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 159.03/158.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 159.03/158.71 => 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))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zmult1__lemma,axiom, % 159.03/158.71 ! [V_a,V_r,V_q,V_c,V_b] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => 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)))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_pair__imageI,axiom, % 159.03/158.71 ! [V_f_2,T_c,V_A_2,V_b_2,V_a_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_A_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_c,hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),V_A_2))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_norm__frac_Osimps,axiom, % 159.03/158.71 ! [V_a_2,V_b_2] : % 159.03/158.71 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => 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)) ) % 159.03/158.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 159.03/158.71 => 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)) ) % 159.03/158.71 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 159.03/158.71 => 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))) ) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_adjust__def,axiom, % 159.03/158.71 ! [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))))))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_sup2CI,axiom, % 159.03/158.71 ! [T_b,T_a,V_A_2,V_y_2,V_x_2,V_B_2] : % 159.03/158.71 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) % 159.03/158.71 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_sup2E,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 159.03/158.71 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_inf2I,axiom, % 159.03/158.71 ! [T_b,T_a,V_B_2,V_y_2,V_x_2,V_A_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_inf2E,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 159.03/158.71 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 159.03/158.71 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mem__splitI,axiom, % 159.03/158.71 ! [T_c,T_b,V_b_2,V_a_2,V_ca_2,V_z_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(V_ca_2,V_a_2),V_b_2))) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_a,tc_HOL_Obool)),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_splitI,axiom, % 159.03/158.71 ! [T_b,T_a,V_b_2,V_a_2,V_f_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_prod__caseI,axiom, % 159.03/158.71 ! [T_b,T_a,V_b_2,V_a_2,V_f1_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_bot2E,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,T_b,T_a] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_x_2),V_y_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_swap__inj__on,axiom, % 159.03/158.71 ! [V_A_2,T_b,T_a] : c_Fun_Oinj__on(tc_prod(T_a,T_b),tc_prod(T_b,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_b,T_a)),hAPP(c_COMBC(T_b,T_a,tc_prod(T_b,T_a)),c_Product__Type_OPair(T_b,T_a))),V_A_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_splitD_H,axiom, % 159.03/158.71 ! [V_ca_2,V_b_2,V_a_2,V_R_2,T_c,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_c,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_ca_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_ca_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rev__predicate2D,axiom, % 159.03/158.71 ! [V_Q_2,T_b,T_a,V_y_2,V_x_2,V_P_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_P_2),V_Q_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_predicate2D,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_Q_2,V_P_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_P_2),V_Q_2)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_sup2I2,axiom, % 159.03/158.71 ! [V_A_2,T_b,T_a,V_y_2,V_x_2,V_B_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_sup2I1,axiom, % 159.03/158.71 ! [V_B_2,T_b,T_a,V_y_2,V_x_2,V_A_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_inf2D1,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_inf2D2,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_split__paired__All,axiom, % 159.03/158.71 ! [T_b,T_a,V_P_2] : % 159.03/158.71 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 159.03/158.71 <=> ! [B_a,B_b] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Pair__eq,axiom, % 159.03/158.71 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] : % 159.03/158.71 ( hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2) % 159.03/158.71 <=> ( V_a_2 = V_a_H_2 % 159.03/158.71 & V_b_2 = V_b_H_2 ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Pair__inject,axiom, % 159.03/158.71 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] : % 159.03/158.71 ( 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) % 159.03/158.71 => ~ ( V_a = V_a_H % 159.03/158.71 => V_b != V_b_H ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_split__weak__cong,axiom, % 159.03/158.71 ! [V_ca_2,T_c,T_b,T_a,V_q_2,V_p_2] : % 159.03/158.71 ( V_p_2 = V_q_2 % 159.03/158.71 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_ca_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_ca_2),V_q_2) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_in__finite__psubset,axiom, % 159.03/158.71 ! [V_B_2,V_A_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_a))) % 159.03/158.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 159.03/158.71 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_split__twice,axiom, % 159.03/158.71 ! [V_p_2,V_g_2,T_e,T_d,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_b,T_c)),tc_fun(T_e,T_a),T_d),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_e),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2))),V_g_2)),V_p_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_split__conv,axiom, % 159.03/158.71 ! [V_b_2,V_a_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_prod_Osimps_I2_J,axiom, % 159.03/158.71 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_splitD,axiom, % 159.03/158.71 ! [V_b_2,V_a_2,V_f_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_split__eta,axiom, % 159.03/158.71 ! [V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,T_c),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),T_c,T_b),V_f_2)),c_Product__Type_OPair(T_a,T_b))) = V_f_2 ). % 159.03/158.71 % 159.03/158.71 fof(fact_split__paired__The,axiom, % 159.03/158.71 ! [V_P_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),V_P_2) = c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b)))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_The__split__eq,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_adjust__eq,axiom, % 159.03/158.71 ! [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))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_in__rel__def,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_R_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2)) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),V_R_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_div__mod__code__numeral__def,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_negDivAlg__eqn__1__number__of,axiom, % 159.03/158.71 ! [V_w] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( ( 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)))) % 159.03/158.71 => 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))) ) % 159.03/158.71 & ( ~ 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)))) % 159.03/158.71 => 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)))) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_negDivAlg__correct,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 159.03/158.71 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_negDivAlg__div__mod,axiom, % 159.03/158.71 ! [V_l,V_k] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 159.03/158.71 => 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)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_negDivAlg__minus1,axiom, % 159.03/158.71 ! [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))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_negDivAlg_Osimps,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( ( ( 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))) % 159.03/158.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 159.03/158.71 => 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)) ) % 159.03/158.71 & ( ~ ( 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))) % 159.03/158.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 159.03/158.71 => 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))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_negDivAlg__eqn,axiom, % 159.03/158.71 ! [V_a,V_b] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 159.03/158.71 => ( ( 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))) % 159.03/158.71 => 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)) ) % 159.03/158.71 & ( ~ 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))) % 159.03/158.71 => 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))) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_negDivAlg__eqn__number__of,axiom, % 159.03/158.71 ! [V_w,V_v] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( ( 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)))) % 159.03/158.71 => 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))) ) % 159.03/158.71 & ( ~ 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)))) % 159.03/158.71 => 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)))) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Nitpick_Orefl_H__def,axiom, % 159.03/158.71 ! [V_r_2,T_a] : % 159.03/158.71 ( c_Nitpick_Orefl_H(T_a,V_r_2) % 159.03/158.71 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_posDivAlg__eqn__1__number__of,axiom, % 159.03/158.71 ! [V_w] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( ( 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))) % 159.03/158.71 => 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)) ) % 159.03/158.71 & ( ~ 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))) % 159.03/158.71 => 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)))) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_posDivAlg_Osimps,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 159.03/158.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 159.03/158.71 => 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) ) % 159.03/158.71 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 159.03/158.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 159.03/158.71 => 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))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_posDivAlg__0,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_posDivAlg__correct,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 159.03/158.71 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_posDivAlg__div__mod,axiom, % 159.03/158.71 ! [V_l,V_k] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 159.03/158.71 => 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)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_posDivAlg__eqn__number__of,axiom, % 159.03/158.71 ! [V_w,V_v] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( ( 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))) % 159.03/158.71 => 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)) ) % 159.03/158.71 & ( ~ 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))) % 159.03/158.71 => 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)))) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_posDivAlg__eqn,axiom, % 159.03/158.71 ! [V_a,V_b] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 159.03/158.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 159.03/158.71 => 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) ) % 159.03/158.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 159.03/158.71 => 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))) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__int__def,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 159.03/158.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 159.03/158.71 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) ) % 159.03/158.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 159.03/158.71 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => 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)) ) % 159.03/158.71 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => 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))) ) ) ) ) ) % 159.03/158.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 159.03/158.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 159.03/158.71 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) ) % 159.03/158.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 159.03/158.71 => 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))) ) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__nat__step,axiom, % 159.03/158.71 ! [V_m,V_n] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 159.03/158.71 => 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)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__int__pdivmod,axiom, % 159.03/158.71 ! [V_l_2,V_k_2] : % 159.03/158.71 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => 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)) ) % 159.03/158.71 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => 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) ) % 159.03/158.71 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => 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)))) ) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_apsnd__compose,axiom, % 159.03/158.71 ! [V_x_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_a,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_x_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_negateSnd__def,axiom, % 159.03/158.71 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_apsnd__conv,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),hAPP(V_f_2,V_y_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__nat__zero,axiom, % 159.03/158.71 ! [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) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__nat__base,axiom, % 159.03/158.71 ! [V_n,V_m] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 159.03/158.71 => 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_negateSnd__eq,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__nat__div__mod,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__int__rel__neg,axiom, % 159.03/158.71 ! [V_qr,V_b,V_a] : % 159.03/158.71 ( 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)) % 159.03/158.71 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__nat__if,axiom, % 159.03/158.71 ! [V_m_2,V_n_2] : % 159.03/158.71 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.03/158.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 159.03/158.71 => 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) ) % 159.03/158.71 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.03/158.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 159.03/158.71 => 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)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_pdivmod__def,axiom, % 159.03/158.71 ! [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))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_pdivmod__posDivAlg,axiom, % 159.03/158.71 ! [V_k,V_l] : % 159.03/158.71 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => 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)) ) % 159.03/158.71 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => 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)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__int__code,axiom, % 159.03/158.71 ! [V_l_2,V_k_2] : % 159.03/158.71 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => 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)) ) % 159.03/158.71 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => 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) ) % 159.03/158.71 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 => 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)))) ) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_UN__equiv__class__inject,axiom, % 159.03/158.71 ! [V_Y_2,V_X_2,V_f_2,T_b,V_r_2,V_A_2,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 159.03/158.71 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2) % 159.03/158.71 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_Y_2),V_f_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 159.03/158.71 => ( ! [B_x] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.03/158.71 => ! [B_y] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2)) % 159.03/158.71 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2)) ) ) ) % 159.03/158.71 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__nat__rel__mult2__eq,axiom, % 159.03/158.71 ! [V_c,V_r,V_q,V_b,V_a] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 159.03/158.71 => 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)))) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__nat__rel__mult1__eq,axiom, % 159.03/158.71 ! [V_a,V_r,V_q,V_c,V_b] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 159.03/158.71 => 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)))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__nat__rel__unique,axiom, % 159.03/158.71 ! [V_qr_H,V_qr,V_n,V_m] : % 159.03/158.71 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 159.03/158.71 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H)) % 159.03/158.71 => V_qr = V_qr_H ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__nat__eq,axiom, % 159.03/158.71 ! [V_qr,V_n,V_m] : % 159.03/158.71 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 159.03/158.71 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__nat__rel__divmod__nat,axiom, % 159.03/158.71 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__nat__def,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mod__eq,axiom, % 159.03/158.71 ! [V_r,V_q,V_n,V_m] : % 159.03/158.71 ( 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))) % 159.03/158.71 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_div__eq,axiom, % 159.03/158.71 ! [V_r,V_q,V_n,V_m] : % 159.03/158.71 ( 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))) % 159.03/158.71 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__nat__rel,axiom, % 159.03/158.71 ! [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)))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__nat__rel__add1__eq,axiom, % 159.03/158.71 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( 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))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 159.03/158.71 => 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)))) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_negDivAlg_Opsimps,axiom, % 159.03/158.71 ! [V_b_2,V_a_2] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( ( ( 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))) % 159.03/158.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 159.03/158.71 => 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)) ) % 159.03/158.71 & ( ~ ( 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))) % 159.03/158.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 159.03/158.71 => 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))) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_small_H_Opsimps,axiom, % 159.03/158.71 ! [V_i_2,V_d_2,V_f_2] : % 159.03/158.71 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),V_f_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2)))) % 159.03/158.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 159.03/158.71 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) ) % 159.03/158.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 159.03/158.71 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),tc_List_Olist(tc_Code__Evaluation_Oterm),c_Smallcheck_Osmall_H(V_f_2,V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(V_f_2,V_i_2)) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_posDivAlg_Opsimps,axiom, % 159.03/158.71 ! [V_b_2,V_a_2] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 159.03/158.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 159.03/158.71 => 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) ) % 159.03/158.71 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 159.03/158.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 159.03/158.71 => 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))) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_accp_Osimps,axiom, % 159.03/158.71 ! [V_a_2,V_r_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2)) % 159.03/158.71 <=> ! [B_x] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 159.03/158.71 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_accp_Oequations,axiom, % 159.03/158.71 ! [V_a_2,V_r_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2)) % 159.03/158.71 <=> ! [B_x] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 159.03/158.71 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_accp__downward,axiom, % 159.03/158.71 ! [V_a_2,V_b_2,V_r_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_b_2)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 159.03/158.71 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_accp__subset,axiom, % 159.03/158.71 ! [V_R2_2,V_R1_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_R1_2),V_R2_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_a,V_R2_2)),c_Wellfounded_Oaccp(T_a,V_R1_2))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_norm__frac_Opsimps,axiom, % 159.03/158.71 ! [V_b_2,V_a_2] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => 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)) ) % 159.03/158.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 159.03/158.71 => 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)) ) % 159.03/158.71 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 159.03/158.71 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 159.03/158.71 => 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))) ) ) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_negDivAlg_Opinduct,axiom, % 159.03/158.71 ! [V_P_2,V_a1_2,V_a0_2] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( ! [B_a,B_b] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( ( ~ ( 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))) % 159.03/158.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 159.03/158.71 => 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))) ) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_posDivAlg_Opinduct,axiom, % 159.03/158.71 ! [V_P_2,V_a1_2,V_a0_2] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( ! [B_a,B_b] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b)) % 159.03/158.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 159.03/158.71 => 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))) ) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_nat__gcd_Opsimps,axiom, % 159.03/158.71 ! [V_y_2,V_x_2] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.03/158.71 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 ) % 159.03/158.71 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.03/158.71 => 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)) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_small_H_Opinduct,axiom, % 159.03/158.71 ! [V_P_2,V_a2_2,V_a1_2,V_a0_2] : % 159.03/158.71 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),V_a0_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a1_2),V_a2_2)))) % 159.03/158.71 => ( ! [B_f,B_d,B_i] : % 159.03/158.71 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),B_f),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i)))) % 159.03/158.71 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i)) % 159.03/158.71 => ( hAPP(B_f,B_i) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) % 159.03/158.71 => hBOOL(hAPP(hAPP(hAPP(V_P_2,B_f),B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) % 159.03/158.71 => hBOOL(hAPP(hAPP(hAPP(V_P_2,B_f),B_d),B_i)) ) ) % 159.03/158.71 => hBOOL(hAPP(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2),V_a2_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mod__pos__neg__1__number__of,axiom, % 159.03/158.71 ! [V_w] : % 159.03/158.71 ( 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))) % 159.03/158.71 => 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))))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_snd__apsnd,axiom, % 159.03/158.71 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Oapsnd(T_c,T_a,T_b,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_x_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_apsnd__eq__conv,axiom, % 159.03/158.71 ! [V_g_2,V_x_2,V_f_2,T_a,T_b,T_c] : % 159.03/158.71 ( hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_g_2),V_x_2) % 159.03/158.71 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_a,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_a,T_c),V_x_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_snd__def,axiom, % 159.03/158.71 ! [V_p_2,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,T_a),hAPP(c_COMBK(tc_fun(T_a,T_a),T_b),c_COMBI(T_a))),V_p_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_snd__conv,axiom, % 159.03/158.71 ! [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 ). % 159.03/158.71 % 159.03/158.71 fof(fact_snd__eqD,axiom, % 159.03/158.71 ! [V_a,V_y,V_x,T_a,T_b] : % 159.03/158.71 ( 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 % 159.03/158.71 => V_y = V_a ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mod__int__def,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mod__neg__pos,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 159.03/158.71 => 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)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mod__pos__pos,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 159.03/158.71 => 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)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mod__pos__pos__1__number__of,axiom, % 159.03/158.71 ! [V_w] : % 159.03/158.71 ( 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))) % 159.03/158.71 => 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))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mod__pos__neg,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => 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)))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mod__neg__neg,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => 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)))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_in__measure,axiom, % 159.03/158.71 ! [V_f_2,V_y_2,V_x_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_a),V_f_2))) % 159.03/158.71 <=> 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))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_irrefl__def,axiom, % 159.03/158.71 ! [V_r_2,T_a] : % 159.03/158.71 ( c_Relation_Oirrefl(T_a,V_r_2) % 159.03/158.71 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_norm__frac_Opinduct,axiom, % 159.03/158.71 ! [V_P_2,V_a1_2,V_a0_2] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( ! [B_a,B_b] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => 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))) ) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mod__nat__def,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_div__pos__neg__1__number__of,axiom, % 159.03/158.71 ! [V_w] : % 159.03/158.71 ( 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))) % 159.03/158.71 => 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))))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_nat__def,axiom, % 159.03/158.71 ! [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)))))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_nat__gcd_Opinduct,axiom, % 159.03/158.71 ! [V_P_2,V_a1_2,V_a0_2] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( ! [B_x,B_y] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_P_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) ) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_P_2,B_x),B_y)) ) ) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Pair__fst__snd__eq,axiom, % 159.03/158.71 ! [T_b,T_a,V_t_2,V_s_2] : % 159.03/158.71 ( V_s_2 = V_t_2 % 159.03/158.71 <=> ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_s_2) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_t_2) % 159.03/158.71 & hAPP(c_Product__Type_Osnd(T_a,T_b),V_s_2) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_t_2) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_prod__eqI,axiom, % 159.03/158.71 ! [V_q,V_p,T_b,T_a] : % 159.03/158.71 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q) % 159.03/158.71 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q) % 159.03/158.71 => V_p = V_q ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_fst__apsnd,axiom, % 159.03/158.71 ! [V_x_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_a,T_c),V_x_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_fst__def,axiom, % 159.03/158.71 ! [V_p_2,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_a),c_COMBK(T_a,T_b)),V_p_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Rep__Integ__inject,axiom, % 159.03/158.71 ! [V_y_2,V_x_2] : % 159.03/158.71 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2) % 159.03/158.71 <=> V_x_2 = V_y_2 ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_fst__conv,axiom, % 159.03/158.71 ! [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 ). % 159.03/158.71 % 159.03/158.71 fof(fact_fst__eqD,axiom, % 159.03/158.71 ! [V_a,V_y,V_x,T_b,T_a] : % 159.03/158.71 ( 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 % 159.03/158.71 => V_x = V_a ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_surjective__pairing,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_pair__collapse,axiom, % 159.03/158.71 ! [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 ). % 159.03/158.71 % 159.03/158.71 fof(fact_prod__case__beta,axiom, % 159.03/158.71 ! [V_p_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_div__int__def,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_split__beta,axiom, % 159.03/158.71 ! [V_z_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_P_2),V_z_2) = hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_z_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_z_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_split__comp__eq,axiom, % 159.03/158.71 ! [V_g_2,V_f_2,T_d,T_c,T_b,T_a] : hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,T_c),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,T_c),tc_prod(T_a,T_b)),V_f_2),hAPP(hAPP(c_COMBB(T_a,T_d,tc_prod(T_a,T_b)),V_g_2),c_Product__Type_Ofst(T_a,T_b)))),c_Product__Type_Osnd(T_a,T_b)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,T_c),T_a),V_f_2),V_g_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_split__def,axiom, % 159.03/158.71 ! [V_p_2,V_ca_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_ca_2),V_p_2) = hAPP(hAPP(V_ca_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_split__comp,axiom, % 159.03/158.71 ! [V_x_2,V_g_2,V_f_2,T_d,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_c,T_a),T_b,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_x_2))),hAPP(c_Product__Type_Osnd(T_b,T_c),V_x_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_The__split,axiom, % 159.03/158.71 ! [V_P_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2)) = c_HOL_OThe(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),tc_prod(T_a,T_b)),V_P_2),c_Product__Type_Ofst(T_a,T_b))),c_Product__Type_Osnd(T_a,T_b))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_div__neg__pos,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 159.03/158.71 => 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)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_div__pos__pos,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 159.03/158.71 => 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)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_div__pos__pos__1__number__of,axiom, % 159.03/158.71 ! [V_w] : % 159.03/158.71 ( 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))) % 159.03/158.71 => 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))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_div__pos__neg,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => 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)))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_div__neg__neg,axiom, % 159.03/158.71 ! [V_b,V_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 159.03/158.71 => 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)))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_prod__size__simp,axiom, % 159.03/158.71 ! [V_p_2,V_g_2,V_f_2,T_b,T_a] : c_Product__Type_Oprod_Oprod__size(T_a,T_b,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_a,T_b),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_a,T_b),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_conjI__realizer,axiom, % 159.03/158.71 ! [T_b,T_a,V_q_2,V_Q_2,V_p_2,V_P_2] : % 159.03/158.71 ( hBOOL(hAPP(V_P_2,V_p_2)) % 159.03/158.71 => ( hBOOL(hAPP(V_Q_2,V_q_2)) % 159.03/158.71 => ( hBOOL(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_p_2),V_q_2)))) % 159.03/158.71 & hBOOL(hAPP(V_Q_2,hAPP(c_Product__Type_Osnd(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_p_2),V_q_2)))) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_exI__realizer,axiom, % 159.03/158.71 ! [T_a,T_b,V_x_2,V_y_2,V_P_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(V_P_2,V_y_2),V_x_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2)))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_div__nat__def,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_divmod__nat__rel__def,axiom, % 159.03/158.71 ! [V_qr_2,V_n_2,V_m_2] : % 159.03/158.71 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2)) % 159.03/158.71 <=> ( 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)) % 159.03/158.71 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.03/158.71 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 159.03/158.71 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.03/158.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 159.03/158.71 => ( 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))) % 159.03/158.71 & 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)) ) ) % 159.03/158.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 159.03/158.71 => ( 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))) % 159.03/158.71 & 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))) ) ) ) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_inv__image__def,axiom, % 159.03/158.71 ! [V_f_2,V_r_2,T_a,T_b] : hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,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_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_b,T_b)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),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_a),c_member(tc_prod(T_b,T_b)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_prod(T_b,T_b))),T_a),c_COMBB(T_b,tc_prod(T_b,T_b),T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_prod(T_b,T_b)),T_a),c_Product__Type_OPair(T_b,T_b)),V_f_2))),V_f_2)))),V_r_2))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mlex__leq,axiom, % 159.03/158.71 ! [V_R_2,T_a,V_y_2,V_x_2,V_f_2] : % 159.03/158.71 ( 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))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_R_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_code__numeral_Osize_I2_J,axiom, % 159.03/158.71 ! [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))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_code__numeral_Oinject,axiom, % 159.03/158.71 ! [V_code__numeral_H_2,V_code__numeral_2] : % 159.03/158.71 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2) % 159.03/158.71 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_code__numeral_Osimps_I2_J,axiom, % 159.03/158.71 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ). % 159.03/158.71 % 159.03/158.71 fof(fact_code__numeral_Osimps_I3_J,axiom, % 159.03/158.71 ! [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) ). % 159.03/158.71 % 159.03/158.71 fof(fact_in__inv__image,axiom, % 159.03/158.71 ! [V_f_2,V_r_2,T_b,V_y_2,V_x_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_r_2),V_f_2))) % 159.03/158.71 <=> 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,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Suc__code__numeral__minus__one,axiom, % 159.03/158.71 ! [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 ). % 159.03/158.71 % 159.03/158.71 fof(fact_mlex__less,axiom, % 159.03/158.71 ! [V_R_2,T_a,V_y_2,V_x_2,V_f_2] : % 159.03/158.71 ( 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))) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_code__numeral_Osize_I4_J,axiom, % 159.03/158.71 ! [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))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rp__inv__image__def,axiom, % 159.03/158.71 ! [T_b,T_a] : c_FunDef_Orp__inv__image(T_a,T_b) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(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_COMBC(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(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_fun(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(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(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(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_prod(T_a,T_a),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(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_prod(T_a,T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(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(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(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_prod(T_a,T_a),tc_HOL_Obool)),c_COMBS(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(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_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(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_prod(T_a,T_a),tc_HOL_Obool)),hAPP(c_COMBB(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_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(T_b,T_a)),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)))),c_Relation_Oinv__image(T_a,T_b))))),c_Relation_Oinv__image(T_a,T_b))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_prod_Orecs,axiom, % 159.03/158.71 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : c_Product__Type_Oprod_Oprod__rec(T_b,T_c,T_a,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_code__numeral_Osize_I3_J,axiom, % 159.03/158.71 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) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__add__map__of__foldr,axiom, % 159.03/158.71 ! [V_ps_2,V_m_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m_2,hAPP(c_Map_Omap__of(T_a,T_b),V_ps_2)) = c_List_Ofoldr(tc_prod(T_a,T_b),tc_fun(T_a,tc_Option_Ooption(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b))))),T_a),c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b))),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)))),T_a),c_COMBC(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),hAPP(c_COMBC(tc_fun(T_a,tc_Option_Ooption(T_b)),T_a,tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)))))),c_Option_Ooption_OSome(T_b))),V_ps_2,V_m_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_in__lex__prod,axiom, % 159.03/158.71 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))) % 159.03/158.71 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_H_2)),V_r_2)) % 159.03/158.71 | ( V_a_2 = V_a_H_2 % 159.03/158.71 & 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_b_H_2)),V_s_2)) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_equivp__equiv,axiom, % 159.03/158.71 ! [V_A_2,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Oequiv(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_A_2) % 159.03/158.71 <=> c_Equiv__Relations_Oequivp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_A_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_identity__equivp,axiom, % 159.03/158.71 ! [T_a] : c_Equiv__Relations_Oequivp(T_a,c_fequal) ). % 159.03/158.71 % 159.03/158.71 fof(fact_equivp__def,axiom, % 159.03/158.71 ! [V_R_2,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Oequivp(T_a,V_R_2) % 159.03/158.71 <=> ! [B_x,B_y] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 159.03/158.71 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_equivp__reflp,axiom, % 159.03/158.71 ! [V_x_2,V_R_2,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Oequivp(T_a,V_R_2) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_equivp__symp,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_R_2,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Oequivp(T_a,V_R_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_equivp__transp,axiom, % 159.03/158.71 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_a] : % 159.03/158.71 ( c_Equiv__Relations_Oequivp(T_a,V_R_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_same__fstI,axiom, % 159.03/158.71 ! [T_a,V_R_2,V_y_2,V_y_H_2,T_b,V_x_2,V_P_2] : % 159.03/158.71 ( hBOOL(hAPP(V_P_2,V_x_2)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2))) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_apsnd__apfst,axiom, % 159.03/158.71 ! [V_x_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_a,T_c,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_d,T_c),V_x_2))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_apfst__apsnd,axiom, % 159.03/158.71 ! [V_x_2,V_g_2,T_d,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_apfst__conv,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,V_x_2)),V_y_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_fst__apfst,axiom, % 159.03/158.71 ! [V_x_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_apfst__eq__conv,axiom, % 159.03/158.71 ! [V_g_2,V_x_2,V_f_2,T_b,T_a,T_c] : % 159.03/158.71 ( hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_g_2),V_x_2) % 159.03/158.71 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_snd__apfst,axiom, % 159.03/158.71 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Oapfst(T_c,T_b,T_a,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_c,T_a),V_x_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_apfst__compose,axiom, % 159.03/158.71 ! [V_x_2,V_g_2,T_d,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_d,T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_a,T_d,V_f_2),V_g_2)),V_x_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_apsnd__apfst__commute,axiom, % 159.03/158.71 ! [V_p_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_a,T_c,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_d,T_a,T_b,V_g_2),hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_d,V_f_2),V_p_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_pair__lessI2,axiom, % 159.03/158.71 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2)) % 159.03/158.71 => 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)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_ImageE,axiom, % 159.03/158.71 ! [V_A_2,V_r_2,T_b,V_b_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2))) % 159.03/158.71 => ~ ! [B_x] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2)) % 159.03/158.71 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mlex__prod__def,axiom, % 159.03/158.71 ! [V_R_2,V_f_2,T_a] : c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_a),T_a),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_a,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(tc_Nat_Onat,T_a)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,tc_prod(tc_Nat_Onat,T_a)),T_a),c_Product__Type_OPair(tc_Nat_Onat,T_a)),V_f_2)),c_COMBI(T_a))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_pair__less__def,axiom, % 159.03/158.71 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ). % 159.03/158.71 % 159.03/158.71 fof(fact_measure__def,axiom, % 159.03/158.71 ! [T_a] : c_Wellfounded_Omeasure(T_a) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_a),c_Wellfounded_Oless__than) ). % 159.03/158.71 % 159.03/158.71 fof(fact_less__than__iff,axiom, % 159.03/158.71 ! [V_y_2,V_x_2] : % 159.03/158.71 ( 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)) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_pair__lessI1,axiom, % 159.03/158.71 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 159.03/158.71 => 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)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_pair__leqI2,axiom, % 159.03/158.71 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2)) % 159.03/158.71 => 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)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_smin__insertI,axiom, % 159.03/158.71 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 159.03/158.71 => ( 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)) % 159.03/158.71 => ( 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)) % 159.03/158.71 => 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)) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_smax__insertI,axiom, % 159.03/158.71 ! [V_X_2,V_x_2,V_Y_2,V_y_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2)) % 159.03/158.71 => ( 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)) % 159.03/158.71 => ( 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)) % 159.03/158.71 => 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)) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_smax__emptyI,axiom, % 159.03/158.71 ! [V_Y_2] : % 159.03/158.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2)) % 159.03/158.71 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 159.03/158.71 => 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)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_smin__emptyI,axiom, % 159.03/158.71 ! [V_X_2] : % 159.03/158.71 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 159.03/158.71 => 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)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_pair__leqI1,axiom, % 159.03/158.71 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 159.03/158.71 => 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)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_wmax__insertI,axiom, % 159.03/158.71 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2)) % 159.03/158.71 => ( 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)) % 159.03/158.71 => ( 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)) % 159.03/158.71 => 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)) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_wmin__insertI,axiom, % 159.03/158.71 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 159.03/158.71 => ( 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)) % 159.03/158.71 => ( 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)) % 159.03/158.71 => 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)) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Field__insert,axiom, % 159.03/158.71 ! [V_r_2,V_b_2,V_a_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_a),V_r_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Field__empty,axiom, % 159.03/158.71 ! [T_a] : hAPP(c_Relation_OField(T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mono__Field,axiom, % 159.03/158.71 ! [V_s_2,V_r_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_Relation_OField(T_a),V_s_2))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Field__Un,axiom, % 159.03/158.71 ! [V_s_2,V_r_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_Relation_OField(T_a),V_s_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_finite__Field,axiom, % 159.03/158.71 ! [V_r_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2)) % 159.03/158.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Relation_OField(T_a),V_r_2))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_wmin__emptyI,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_wmax__emptyI,axiom, % 159.03/158.71 ! [V_X_2] : % 159.03/158.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2)) % 159.03/158.71 => 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)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_min__weak__def,axiom, % 159.03/158.71 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)))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_max__weak__def,axiom, % 159.03/158.71 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)))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Id__on__def,axiom, % 159.03/158.71 ! [V_A_2,T_a] : c_Relation_OId__on(T_a,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),T_a),c_Set_Oinsert(tc_prod(T_a,T_a))),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Id__on__def_H,axiom, % 159.03/158.71 ! [V_A_2,T_a] : c_Relation_OId__on(T_a,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),c_fequal))),V_A_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Id__on__empty,axiom, % 159.03/158.71 ! [T_a] : c_Relation_OId__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Image__Id__on,axiom, % 159.03/158.71 ! [V_B_2,V_A_2,T_a] : hAPP(c_Relation_OImage(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Id__on__iff,axiom, % 159.03/158.71 ! [V_A_2,V_y_2,V_x_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Relation_OId__on(T_a,V_A_2))) % 159.03/158.71 <=> ( V_x_2 = V_y_2 % 159.03/158.71 & hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Id__on__eqI,axiom, % 159.03/158.71 ! [V_A_2,T_a,V_b_2,V_a_2] : % 159.03/158.71 ( V_a_2 = V_b_2 % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Relation_OId__on(T_a,V_A_2))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_max__strict__def,axiom, % 159.03/158.71 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 159.03/158.71 % 159.03/158.71 fof(fact_max__ext__additive,axiom, % 159.03/158.71 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_min__strict__def,axiom, % 159.03/158.71 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 159.03/158.71 % 159.03/158.71 fof(fact_max__extp__max__ext__eq,axiom, % 159.03/158.71 ! [V_xa_2,V_x_2,V_R_2,T_a] : % 159.03/158.71 ( c_Wellfounded_Omax__extp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_R_2),V_x_2,V_xa_2) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_min__rpair__set,axiom, % 159.03/158.71 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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_max__rpair__set,axiom, % 159.03/158.71 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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_rp__inv__image__rp,axiom, % 159.03/158.71 ! [V_f_2,T_b,V_P_2,T_a] : % 159.03/158.71 ( c_FunDef_Oreduction__pair(T_a,V_P_2) % 159.03/158.71 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_FunDef_Orp__inv__image(T_a,T_b),V_P_2),V_f_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_equiv__intrel__iff,axiom, % 159.03/158.71 ! [V_y_2,V_x_2] : % 159.03/158.71 ( 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)))) % 159.03/158.71 <=> 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)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_intrel__iff,axiom, % 159.03/158.71 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 159.03/158.71 ( 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)) % 159.03/158.71 <=> 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Id__onE,axiom, % 159.03/158.71 ! [V_A_2,V_ca_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_ca_2),c_Relation_OId__on(T_a,V_A_2))) % 159.03/158.71 => ~ ! [B_x] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.03/158.71 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_equiv__intrel,axiom, % 159.03/158.71 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) ). % 159.03/158.71 % 159.03/158.71 fof(fact_of__int,axiom, % 159.03/158.71 ! [V_j_2,V_i_2,T_a] : % 159.03/158.71 ( class_Rings_Oring__1(T_a) % 159.03/158.71 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),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_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_j_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_One__int__def,axiom, % 159.03/158.71 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))))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_mult,axiom, % 159.03/158.71 ! [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))))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Rep__Integ__inverse,axiom, % 159.03/158.71 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ). % 159.03/158.71 % 159.03/158.71 fof(fact_minus,axiom, % 159.03/158.71 ! [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))))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Zero__int__def,axiom, % 159.03/158.71 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))))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_int__def,axiom, % 159.03/158.71 ! [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))))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_add,axiom, % 159.03/158.71 ! [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))))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_nat,axiom, % 159.03/158.71 ! [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) ). % 159.03/158.71 % 159.03/158.71 fof(fact_minus__int__def,axiom, % 159.03/158.71 ! [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))))))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_less,axiom, % 159.03/158.71 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 159.03/158.71 ( 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))))))) % 159.03/158.71 <=> 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))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_le,axiom, % 159.03/158.71 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 159.03/158.71 ( 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))))))) % 159.03/158.71 <=> 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))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_eq__Abs__Integ,axiom, % 159.03/158.71 ! [V_z_2] : % 159.03/158.71 ~ ! [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))))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Integ__def,axiom, % 159.03/158.71 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) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__of__mapk__SomeI,axiom, % 159.03/158.71 ! [V_x_2,V_k_2,V_t_2,T_c,V_f_2,T_b,T_a] : % 159.03/158.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 159.03/158.71 => ( hAPP(hAPP(c_Map_Omap__of(T_a,T_c),V_t_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_c),V_x_2) % 159.03/158.71 => hAPP(hAPP(c_Map_Omap__of(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,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_a),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_t_2)),hAPP(V_f_2,V_k_2)) = hAPP(c_Option_Ooption_OSome(T_c),V_x_2) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_inj__mapI,axiom, % 159.03/158.71 ! [V_f_2,T_b,T_a] : % 159.03/158.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 159.03/158.71 => c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__injective,axiom, % 159.03/158.71 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] : % 159.03/158.71 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2) % 159.03/158.71 => ( c_Fun_Oinj__on(T_b,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 159.03/158.71 => V_xs_2 = V_ys_2 ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_inj__mapD,axiom, % 159.03/158.71 ! [V_f_2,T_b,T_a] : % 159.03/158.71 ( c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) % 159.03/158.71 => c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_inj__map__eq__map,axiom, % 159.03/158.71 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_a] : % 159.03/158.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 159.03/158.71 => ( hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2) % 159.03/158.71 <=> V_xs_2 = V_ys_2 ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_inj__map,axiom, % 159.03/158.71 ! [V_f_2,T_b,T_a] : % 159.03/158.71 ( c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) % 159.03/158.71 <=> c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__ident,axiom, % 159.03/158.71 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Omap(T_a,T_a),c_COMBI(T_a)),V_xs_2) = V_xs_2 ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__map,axiom, % 159.03/158.71 ! [V_xs_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_xs_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_List_Omap_Ocompositionality,axiom, % 159.03/158.71 ! [V_list_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_list_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__comp__map,axiom, % 159.03/158.71 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_c),tc_List_Olist(T_b),tc_List_Olist(T_a),hAPP(c_List_Omap(T_c,T_b),V_f_2)),hAPP(c_List_Omap(T_a,T_c),V_g_2)) = hAPP(c_List_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_List_Omap_Ocomp,axiom, % 159.03/158.71 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_c),tc_List_Olist(T_b),tc_List_Olist(T_a),hAPP(c_List_Omap(T_c,T_b),V_f_2)),hAPP(c_List_Omap(T_a,T_c),V_g_2)) = hAPP(c_List_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_foldr__map,axiom, % 159.03/158.71 ! [V_a_2,V_xs_2,V_f_2,T_c,V_g_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_g_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_c,T_a,hAPP(c_Fun_Ocomp(T_b,tc_fun(T_a,T_a),T_c,V_g_2),V_f_2),V_xs_2,V_a_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Rep__Integ,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__of__map,axiom, % 159.03/158.71 ! [V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_c),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_c,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),T_a),c_COMBB(T_b,tc_prod(T_a,T_b),T_c)),c_Product__Type_OPair(T_a,T_b))),V_f_2))),V_xs_2)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(c_Map_Omap__of(T_a,T_c),V_xs_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__of__map__restrict,axiom, % 159.03/158.71 ! [V_ks_2,V_f_2,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Omap(T_a,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBS(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)),V_f_2)),V_ks_2)) = c_Map_Orestrict__map(T_a,T_b,hAPP(c_Fun_Ocomp(T_b,tc_Option_Ooption(T_b),T_a,c_Option_Ooption_OSome(T_b)),V_f_2),hAPP(c_List_Oset(T_a),V_ks_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_type__definition__Integ,axiom, % 159.03/158.71 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) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__of__map__keys,axiom, % 159.03/158.71 ! [V_m_2,T_b,V_xs_2,T_a] : % 159.03/158.71 ( hAPP(c_List_Oset(T_a),V_xs_2) = c_Map_Odom(T_a,T_b,V_m_2) % 159.03/158.71 => hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Omap(T_a,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBS(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),T_b,T_a),c_Option_Othe(T_b)),V_m_2))),V_xs_2)) = V_m_2 ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_finite__set,axiom, % 159.03/158.71 ! [V_xs_2,T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_List_Oset(T_a),V_xs_2))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__eq__conv,axiom, % 159.03/158.71 ! [V_g_2,V_xs_2,V_f_2,T_a,T_b] : % 159.03/158.71 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2) % 159.03/158.71 <=> ! [B_x] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 159.03/158.71 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_infinite__UNIV__listI,axiom, % 159.03/158.71 ! [T_a] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_set__map,axiom, % 159.03/158.71 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_inj__on__map__eq__map,axiom, % 159.03/158.71 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_a] : % 159.03/158.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2))) % 159.03/158.71 => ( hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2) % 159.03/158.71 <=> V_xs_2 = V_ys_2 ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__inj__on,axiom, % 159.03/158.71 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] : % 159.03/158.71 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2) % 159.03/158.71 => ( c_Fun_Oinj__on(T_b,T_a,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))) % 159.03/158.71 => V_xs_2 = V_ys_2 ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__fun__upd,axiom, % 159.03/158.71 ! [V_v_2,V_f_2,T_b,V_xs_2,V_y_2,T_a] : % 159.03/158.71 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.71 => hAPP(hAPP(c_List_Omap(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_y_2),V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__of__eq__dom,axiom, % 159.03/158.71 ! [V_ys_2,V_xs_2,T_b,T_a] : % 159.03/158.71 ( hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2) = hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2) % 159.03/158.71 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xs_2)) = hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_ys_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__of__SomeD,axiom, % 159.03/158.71 ! [V_y_2,V_k_2,V_xs_2,T_a,T_b] : % 159.03/158.71 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xs_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_k_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_a)),V_xs_2))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__of__is__SomeD,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_xys_2,T_a,T_b] : % 159.03/158.71 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_a)),V_xys_2))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_dom__map__of__conv__image__fst,axiom, % 159.03/158.71 ! [V_xys_2,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2)) = hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__of__eq__None__iff,axiom, % 159.03/158.71 ! [V_x_2,V_xys_2,T_a,T_b] : % 159.03/158.71 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xys_2),V_x_2) = c_Option_Ooption_ONone(T_a) % 159.03/158.71 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(c_List_Oset(tc_prod(T_b,T_a)),V_xys_2)))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_type__definition_ORep__range,axiom, % 159.03/158.71 ! [V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] : % 159.03/158.71 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2) % 159.03/158.71 => hAPP(c_Set_Oimage(T_a,T_b,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_type__definition_OAbs__image,axiom, % 159.03/158.71 ! [V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] : % 159.03/158.71 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2) % 159.03/158.71 => hAPP(c_Set_Oimage(T_b,T_a,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_type__definition_ORep,axiom, % 159.03/158.71 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] : % 159.03/158.71 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_type__definition_ORep__inverse,axiom, % 159.03/158.71 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] : % 159.03/158.71 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2) % 159.03/158.71 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_type__definition_ORep__inject,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] : % 159.03/158.71 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2) % 159.03/158.71 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2) % 159.03/158.71 <=> V_x_2 = V_y_2 ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_type__definition_OAbs__inject,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] : % 159.03/158.71 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 159.03/158.71 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2) % 159.03/158.71 <=> V_x_2 = V_y_2 ) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_type__definition_OAbs__inverse,axiom, % 159.03/158.71 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] : % 159.03/158.71 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 159.03/158.71 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_ran__distinct,axiom, % 159.03/158.71 ! [V_al_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_al_2))) % 159.03/158.71 => c_Map_Oran(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_al_2)) = hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_al_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_set__map__of__compr,axiom, % 159.03/158.71 ! [V_xs_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2))) % 159.03/158.71 => hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xs_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_Option_Ooption(T_b),tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),T_a),c_fequal),hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2)))),c_Option_Ooption_OSome(T_b)))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_Some__eq__map__of__iff,axiom, % 159.03/158.71 ! [V_x_2,V_y_2,V_xys_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xys_2))) % 159.03/158.71 => ( hAPP(c_Option_Ooption_OSome(T_b),V_y_2) = hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2),V_x_2) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_distinct__map,axiom, % 159.03/158.71 ! [V_xs_2,V_f_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) % 159.03/158.71 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 159.03/158.71 & c_Fun_Oinj__on(T_b,T_a,V_f_2,hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__of__inject__set,axiom, % 159.03/158.71 ! [V_ys_2,V_xs_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2))) % 159.03/158.71 => ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_ys_2))) % 159.03/158.71 => ( hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2) = hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2) % 159.03/158.71 <=> hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xs_2) = hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_ys_2) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__of__is__SomeI,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_xys_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xys_2))) % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2))) % 159.03/158.71 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__of__eq__Some__iff,axiom, % 159.03/158.71 ! [V_y_2,V_x_2,V_xys_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xys_2))) % 159.03/158.71 => ( hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_greaterThanLessThan__upto,axiom, % 159.03/158.71 ! [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)))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_weak__map__of__SomeI,axiom, % 159.03/158.71 ! [V_l_2,V_x_2,V_k_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_k_2),V_x_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_l_2))) % 159.03/158.71 => ? [B_x] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_l_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),B_x) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_set__remove1__eq,axiom, % 159.03/158.71 ! [V_x_2,V_xs_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.03/158.71 => hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_distinct__upto,axiom, % 159.03/158.71 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_distinct__remove1,axiom, % 159.03/158.71 ! [V_x,V_xs,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 159.03/158.71 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_remove1__commute,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_set__upto,axiom, % 159.03/158.71 ! [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) ). % 159.03/158.71 % 159.03/158.71 fof(fact_atLeastAtMost__upto,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_remove1__idem,axiom, % 159.03/158.71 ! [V_xs_2,V_x_2,T_a] : % 159.03/158.71 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.71 => c_List_Oremove1(T_a,V_x_2,V_xs_2) = V_xs_2 ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_notin__set__remove1,axiom, % 159.03/158.71 ! [V_y_2,V_xs_2,V_x_2,T_a] : % 159.03/158.71 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.71 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_y_2,V_xs_2)))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_in__set__remove1,axiom, % 159.03/158.71 ! [V_xs_2,T_a,V_b_2,V_a_2] : % 159.03/158.71 ( V_a_2 != V_b_2 % 159.03/158.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_b_2,V_xs_2)))) % 159.03/158.71 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_set__remove1__subset,axiom, % 159.03/158.71 ! [V_xs_2,V_x_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_atLeastLessThan__upto,axiom, % 159.03/158.71 ! [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)))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_greaterThanAtMost__upto,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_nat__list__def,axiom, % 159.03/158.71 ! [V_l_2] : % 159.03/158.71 ( c_List_Onat__list(V_l_2) % 159.03/158.71 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_sorted__list__of__set__remove,axiom, % 159.03/158.71 ! [V_x_2,V_A_2,T_a] : % 159.03/158.71 ( class_Orderings_Olinorder(T_a) % 159.03/158.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.03/158.71 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = c_List_Oremove1(T_a,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__of__zip__map,axiom, % 159.03/158.71 ! [V_f_2,T_b,V_xs_2,V_x_2,T_a] : % 159.03/158.71 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.71 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),hAPP(V_f_2,V_x_2)) ) % 159.03/158.71 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.71 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))),V_x_2) = c_Option_Ooption_ONone(T_b) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_distinct__zipI2,axiom, % 159.03/158.71 ! [V_xs,T_b,V_ys,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys)) % 159.03/158.71 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_distinct__zipI1,axiom, % 159.03/158.71 ! [V_ys,T_b,V_xs,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 159.03/158.71 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zip__same__conv__map,axiom, % 159.03/158.71 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,tc_prod(T_a,T_a)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a))),V_xs_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zip__map__fst__snd,axiom, % 159.03/158.71 ! [V_zs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),V_zs_2)) = V_zs_2 ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__zip__map,axiom, % 159.03/158.71 ! [V_ys_2,V_xs_2,V_g_2,T_d,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_a),V_f_2),hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_a),T_d),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_c),V_f_2)),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_g_2)))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__zip__map2,axiom, % 159.03/158.71 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_a),V_f_2),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_c)),tc_fun(T_d,T_a),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_d),V_f_2)),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_g_2)))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_in__set__zipE,axiom, % 159.03/158.71 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)))) % 159.03/158.71 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.71 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_ys_2))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_set__zip__rightD,axiom, % 159.03/158.71 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)))) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_ys_2))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_set__zip__leftD,axiom, % 159.03/158.71 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)))) % 159.03/158.71 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zip__same,axiom, % 159.03/158.71 ! [V_xs_2,V_b_2,V_a_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_xs_2)))) % 159.03/158.71 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.71 & V_a_2 = V_b_2 ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zip__map__map,axiom, % 159.03/158.71 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,tc_prod(T_a,T_b))),T_c),c_COMBB(T_b,tc_prod(T_a,T_b),T_d)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zip__map1,axiom, % 159.03/158.71 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_b),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_ys_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zip__map2,axiom, % 159.03/158.71 ! [V_ys_2,V_f_2,T_c,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_c),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_c,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),T_a),c_COMBB(T_b,tc_prod(T_a,T_b),T_c)),c_Product__Type_OPair(T_a,T_b))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_a,T_c),V_xs_2),V_ys_2)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_sorted__list__of__set__insert,axiom, % 159.03/158.71 ! [V_x_2,V_A_2,T_a] : % 159.03/158.71 ( class_Orderings_Olinorder(T_a) % 159.03/158.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.03/158.71 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__of__zip__upd,axiom, % 159.03/158.71 ! [V_z_2,V_y_2,V_x_2,V_zs_2,V_xs_2,T_b,V_ys_2,T_a] : % 159.03/158.71 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 159.03/158.71 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_zs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 159.03/158.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 159.03/158.71 => ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_ys_2))),V_x_2),hAPP(c_Option_Ooption_OSome(T_a),V_y_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_zs_2))),V_x_2),hAPP(c_Option_Ooption_OSome(T_a),V_z_2)) % 159.03/158.71 => hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_ys_2)) = hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_zs_2)) ) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__removeAll__inj__on,axiom, % 159.03/158.71 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] : % 159.03/158.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.71 => hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_b,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_length__zip,axiom, % 159.03/158.71 ! [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)) ). % 159.03/158.71 % 159.03/158.71 fof(fact_distinct__removeAll,axiom, % 159.03/158.71 ! [V_x,V_xs,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 159.03/158.71 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_length__map,axiom, % 159.03/158.71 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__eq__imp__length__eq,axiom, % 159.03/158.71 ! [V_ys_2,V_g_2,T_c,V_xs_2,V_f_2,T_a,T_b] : % 159.03/158.71 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_a),V_g_2),V_ys_2) % 159.03/158.71 => 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) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_insort__key__left__comm,axiom, % 159.03/158.71 ! [V_xs_2,T_b,V_y_2,V_x_2,V_f_2,T_a] : % 159.03/158.71 ( class_Orderings_Olinorder(T_a) % 159.03/158.71 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) % 159.03/158.71 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_y_2),V_xs_2)) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_insort__left__comm,axiom, % 159.03/158.71 ! [V_xs_2,V_y_2,V_x_2,T_a] : % 159.03/158.71 ( class_Orderings_Olinorder(T_a) % 159.03/158.71 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_neq__if__length__neq,axiom, % 159.03/158.71 ! [V_ys,V_xs,T_a] : % 159.03/158.71 ( 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) % 159.03/158.71 => V_xs != V_ys ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_length__insort,axiom, % 159.03/158.71 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : % 159.03/158.71 ( class_Orderings_Olinorder(T_b) % 159.03/158.71 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_remove1__insort,axiom, % 159.03/158.71 ! [V_xs_2,V_x_2,T_a] : % 159.03/158.71 ( class_Orderings_Olinorder(T_a) % 159.03/158.71 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2)) = V_xs_2 ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_set__insort,axiom, % 159.03/158.71 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : % 159.03/158.71 ( class_Orderings_Olinorder(T_b) % 159.03/158.71 => hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_card__length,axiom, % 159.03/158.71 ! [V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ). % 159.03/158.71 % 159.03/158.71 fof(fact_removeAll__id,axiom, % 159.03/158.71 ! [V_xs_2,V_x_2,T_a] : % 159.03/158.71 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.71 => hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2) = V_xs_2 ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_distinct__card,axiom, % 159.03/158.71 ! [V_xs_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.03/158.71 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_card__distinct,axiom, % 159.03/158.71 ! [V_xs_2,T_a] : % 159.03/158.71 ( hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) % 159.03/158.71 => hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__of__zip__inject,axiom, % 159.03/158.71 ! [V_zs_2,V_xs_2,T_b,V_ys_2,T_a] : % 159.03/158.71 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 159.03/158.71 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_zs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 159.03/158.71 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 159.03/158.71 => ( hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_ys_2)) = hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_zs_2)) % 159.03/158.71 => V_ys_2 = V_zs_2 ) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__fst__zip,axiom, % 159.03/158.71 ! [V_ys_2,T_b,V_xs_2,T_a] : % 159.03/158.71 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 159.03/158.71 => hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = V_xs_2 ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__snd__zip,axiom, % 159.03/158.71 ! [V_ys_2,T_b,V_xs_2,T_a] : % 159.03/158.71 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 159.03/158.71 => hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = V_ys_2 ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_distinct__remove1__removeAll,axiom, % 159.03/158.71 ! [V_x,V_xs,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 159.03/158.71 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_distinct__insort,axiom, % 159.03/158.71 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : % 159.03/158.71 ( class_Orderings_Olinorder(T_b) % 159.03/158.71 => ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2))) % 159.03/158.71 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.71 & hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_length__pos__if__in__set,axiom, % 159.03/158.71 ! [V_xs_2,V_x_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.71 => 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_a)),V_xs_2))) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_zip__eq__conv,axiom, % 159.03/158.71 ! [V_zs_2,V_ys_2,T_b,V_xs_2,T_a] : % 159.03/158.71 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 159.03/158.71 => ( hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2) = V_zs_2 % 159.03/158.71 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_zs_2) = V_xs_2 % 159.03/158.71 & hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),V_zs_2) = V_ys_2 ) ) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_map__removeAll__inj,axiom, % 159.03/158.71 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] : % 159.03/158.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 159.03/158.71 => hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_b,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ). % 159.03/158.71 % 159.03/158.71 fof(fact_finite__lists__length__eq,axiom, % 159.03/158.71 ! [V_n_2,V_A_2,T_a] : % 159.03/158.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.03/158.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_map__of__zip__is__None,axiom, % 159.03/158.72 ! [V_x_2,V_ys_2,T_b,V_xs_2,T_a] : % 159.03/158.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 159.03/158.72 => ( hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)),V_x_2) = c_Option_Ooption_ONone(T_b) % 159.03/158.72 <=> ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_map__of__zip__is__Some,axiom, % 159.03/158.72 ! [V_x_2,V_ys_2,T_b,V_xs_2,T_a] : % 159.03/158.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 159.03/158.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.72 <=> ? [B_y] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),B_y) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_length__remove1,axiom, % 159.03/158.72 ! [V_xs_2,V_x_2,T_a] : % 159.03/158.72 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.72 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremove1(T_a,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_a)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) % 159.03/158.72 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.72 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_dom__map__of__zip,axiom, % 159.03/158.72 ! [V_ys_2,T_b,V_xs_2,T_a] : % 159.03/158.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 159.03/158.72 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.03/158.72 => c_Map_Odom(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))) = hAPP(c_List_Oset(T_a),V_xs_2) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_finite__lists__length__le,axiom, % 159.03/158.72 ! [V_n_2,V_A_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.03/158.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_set__removeAll,axiom, % 159.03/158.72 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ). % 159.03/158.72 % 159.03/158.72 fof(fact_length__sublist,axiom, % 159.03/158.72 ! [V_I_2,V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Osublist(T_a,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_a)),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)))) ). % 159.03/158.72 % 159.03/158.72 fof(fact_insort__insert__insort__key,axiom, % 159.03/158.72 ! [V_xs_2,T_b,V_x_2,V_f_2,T_a] : % 159.03/158.72 ( class_Orderings_Olinorder(T_a) % 159.03/158.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)))) % 159.03/158.72 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_set__zip,axiom, % 159.03/158.72 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_a,T_b)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_a,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)),tc_prod(T_a,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)),tc_prod(T_a,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(tc_prod(T_a,T_b),tc_fun(tc_Nat_Onat,tc_prod(T_a,T_b)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_a,T_b)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_a,T_b)),c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),tc_Nat_Onat),c_Product__Type_OPair(T_a,T_b)),hAPP(c_List_Onth(T_a),V_xs_2))),hAPP(c_List_Onth(T_b),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_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)))))) ). % 159.03/158.72 % 159.03/158.72 fof(fact_nth__zip,axiom, % 159.03/158.72 ! [V_ys,T_b,V_xs,T_a,V_i] : % 159.03/158.72 ( 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))) % 159.03/158.72 => ( 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))) % 159.03/158.72 => 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)) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_distinct__sublistI,axiom, % 159.03/158.72 ! [V_I_2,V_xs_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.03/158.72 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_list__eq__iff__nth__eq,axiom, % 159.03/158.72 ! [T_a,V_ys_2,V_xs_2] : % 159.03/158.72 ( V_xs_2 = V_ys_2 % 159.03/158.72 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) % 159.03/158.72 & ! [B_i] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.03/158.72 => hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys_2),B_i) ) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_distinct__insort__insert,axiom, % 159.03/158.72 ! [V_x_2,V_f_2,V_xs_2,T_a,T_b] : % 159.03/158.72 ( class_Orderings_Olinorder(T_b) % 159.03/158.72 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.03/158.72 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Oinsort__insert__key(T_a,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_all__set__conv__all__nth,axiom, % 159.03/158.72 ! [V_P_2,V_xs_2,T_a] : % 159.03/158.72 ( ! [B_x] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.72 => hBOOL(hAPP(V_P_2,B_x)) ) % 159.03/158.72 <=> ! [B_i] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.03/158.72 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_nth__map,axiom, % 159.03/158.72 ! [V_f_2,T_b,V_xs_2,T_a,V_n_2] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.03/158.72 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2)) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_distinct__conv__nth,axiom, % 159.03/158.72 ! [V_xs_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.03/158.72 <=> ! [B_i] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.03/158.72 => ! [B_j] : % 159.03/158.72 ( 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_2))) % 159.03/158.72 => ( B_i != B_j % 159.03/158.72 => hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_j) ) ) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_nth__eq__iff__index__eq,axiom, % 159.03/158.72 ! [V_j_2,V_i_2,V_xs_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.03/158.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.03/158.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.03/158.72 => ( hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_j_2) % 159.03/158.72 <=> V_i_2 = V_j_2 ) ) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_set__sublist,axiom, % 159.03/158.72 ! [V_I_2,V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_a),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_a)),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))))) ). % 159.03/158.72 % 159.03/158.72 fof(fact_notin__set__sublistI,axiom, % 159.03/158.72 ! [V_I_2,V_xs_2,V_x_2,T_a] : % 159.03/158.72 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.72 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2)))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_in__set__sublistD,axiom, % 159.03/158.72 ! [V_I_2,V_xs_2,V_x_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2)))) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_set__sublist__subset,axiom, % 159.03/158.72 ! [V_I_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ). % 159.03/158.72 % 159.03/158.72 fof(fact_nth__mem,axiom, % 159.03/158.72 ! [V_xs_2,T_a,V_n_2] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_a),V_xs_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_in__set__conv__nth,axiom, % 159.03/158.72 ! [V_xs_2,V_x_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.72 <=> ? [B_i] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.03/158.72 & hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) = V_x_2 ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_set__conv__nth,axiom, % 159.03/158.72 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_a),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_a)),V_xs_2))))) ). % 159.03/158.72 % 159.03/158.72 fof(fact_insort__insert__triv,axiom, % 159.03/158.72 ! [V_xs_2,V_x_2,T_a] : % 159.03/158.72 ( class_Orderings_Olinorder(T_a) % 159.03/158.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.72 => c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2) = V_xs_2 ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_set__insort__insert,axiom, % 159.03/158.72 ! [V_xs_2,V_x_2,T_a] : % 159.03/158.72 ( class_Orderings_Olinorder(T_a) % 159.03/158.72 => hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_insort__insert__key__triv,axiom, % 159.03/158.72 ! [V_xs_2,T_b,V_x_2,V_f_2,T_a] : % 159.03/158.72 ( class_Orderings_Olinorder(T_a) % 159.03/158.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)))) % 159.03/158.72 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_insort__insert__insort,axiom, % 159.03/158.72 ! [V_xs_2,V_x_2,T_a] : % 159.03/158.72 ( class_Orderings_Olinorder(T_a) % 159.03/158.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.72 => c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_distinct__list__update,axiom, % 159.03/158.72 ! [V_i_2,V_a_2,V_xs_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.03/158.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) % 159.03/158.72 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_a_2))) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_listsum__setsum__nth,axiom, % 159.03/158.72 ! [V_xs_2,T_a] : % 159.03/158.72 ( class_Groups_Ocomm__monoid__add(T_a) % 159.03/158.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(c_List_Onth(T_a),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_a)),V_xs_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_restrict__map__upds,axiom, % 159.03/158.72 ! [V_m_2,V_D_2,V_ys_2,T_b,V_xs_2,T_a] : % 159.03/158.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 159.03/158.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),V_D_2)) % 159.03/158.72 => c_Map_Orestrict__map(T_a,T_b,c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2),V_D_2) = c_Map_Omap__upds(T_a,T_b,c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(c_List_Oset(T_a),V_xs_2))),V_xs_2,V_ys_2) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_map__upds__list__update2__drop,axiom, % 159.03/158.72 ! [V_y_2,V_m_2,V_ys_2,T_b,V_i_2,V_xs_2,T_a] : % 159.03/158.72 ( 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_2)),V_i_2)) % 159.03/158.72 => ( 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_ys_2))) % 159.03/158.72 => c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) = c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_listsum__update__nat,axiom, % 159.03/158.72 ! [V_n,V_ns,V_k] : % 159.03/158.72 ( 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))) % 159.03/158.72 => 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)) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_length__list__update,axiom, % 159.03/158.72 ! [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) ). % 159.03/158.72 % 159.03/158.72 fof(fact_list__update__id,axiom, % 159.03/158.72 ! [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 ). % 159.03/158.72 % 159.03/158.72 fof(fact_nth__list__update__neq,axiom, % 159.03/158.72 ! [V_x,V_xs,T_a,V_j,V_i] : % 159.03/158.72 ( V_i != V_j % 159.03/158.72 => 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) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_update__zip,axiom, % 159.03/158.72 ! [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))) ). % 159.03/158.72 % 159.03/158.72 fof(fact_zip__update,axiom, % 159.03/158.72 ! [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)) ). % 159.03/158.72 % 159.03/158.72 fof(fact_map__update,axiom, % 159.03/158.72 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ). % 159.03/158.72 % 159.03/158.72 fof(fact_list__update__swap,axiom, % 159.03/158.72 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] : % 159.03/158.72 ( V_i != V_i_H % 159.03/158.72 => 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) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_list__update__overwrite,axiom, % 159.03/158.72 ! [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) ). % 159.03/158.72 % 159.03/158.72 fof(fact_map__add__upds,axiom, % 159.03/158.72 ! [V_ys_2,V_xs_2,V_m2_2,V_m1_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m1_2,c_Map_Omap__upds(T_a,T_b,V_m2_2,V_xs_2,V_ys_2)) = c_Map_Omap__upds(T_a,T_b,c_Map_Omap__add(T_a,T_b,V_m1_2,V_m2_2),V_xs_2,V_ys_2) ). % 159.03/158.72 % 159.03/158.72 fof(fact_listsum__eq__0__nat__iff__nat,axiom, % 159.03/158.72 ! [V_ns_2] : % 159.03/158.72 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.03/158.72 <=> ! [B_x] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 159.03/158.72 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_list__update__beyond,axiom, % 159.03/158.72 ! [V_x,V_i,V_xs,T_a] : % 159.03/158.72 ( 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)) % 159.03/158.72 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_elem__le__listsum__nat,axiom, % 159.03/158.72 ! [V_ns,V_k] : % 159.03/158.72 ( 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))) % 159.03/158.72 => 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))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_map__upds__apply__nontin,axiom, % 159.03/158.72 ! [V_ys_2,V_f_2,T_b,V_xs_2,V_x_2,T_a] : % 159.03/158.72 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.72 => hAPP(c_Map_Omap__upds(T_a,T_b,V_f_2,V_xs_2,V_ys_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_listsum__0,axiom, % 159.03/158.72 ! [V_xs_2,T_b,T_a] : % 159.03/158.72 ( class_Groups_Omonoid__add(T_a) % 159.03/158.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Ozero__class_Ozero(T_a))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_listsum__addf,axiom, % 159.03/158.72 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] : % 159.03/158.72 ( class_Groups_Ocomm__monoid__add(T_a) % 159.03/158.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Oplus__class_Oplus(T_a)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_listsum__mult__const,axiom, % 159.03/158.72 ! [V_xs_2,V_ca_2,V_f_2,T_b,T_a] : % 159.03/158.72 ( class_Rings_Osemiring__0(T_a) % 159.03/158.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_ca_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),V_ca_2) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_listsum__const__mult,axiom, % 159.03/158.72 ! [V_xs_2,V_f_2,V_ca_2,T_b,T_a] : % 159.03/158.72 ( class_Rings_Osemiring__0(T_a) % 159.03/158.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_listsum__subtractf,axiom, % 159.03/158.72 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] : % 159.03/158.72 ( class_Groups_Oab__group__add(T_a) % 159.03/158.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_set__update__subsetI,axiom, % 159.03/158.72 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),V_A_2)) % 159.03/158.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_set__update__subset__insert,axiom, % 159.03/158.72 ! [V_x_2,V_i_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))) ). % 159.03/158.72 % 159.03/158.72 fof(fact_nth__list__update__eq,axiom, % 159.03/158.72 ! [V_x,V_xs,T_a,V_i] : % 159.03/158.72 ( 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))) % 159.03/158.72 => 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 ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_list__update__same__conv,axiom, % 159.03/158.72 ! [V_x_2,V_xs_2,T_a,V_i_2] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.03/158.72 => ( hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2) = V_xs_2 % 159.03/158.72 <=> hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2) = V_x_2 ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_nth__list__update,axiom, % 159.03/158.72 ! [V_x,V_j,V_xs,T_a,V_i] : % 159.03/158.72 ( 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))) % 159.03/158.72 => ( ( V_i = V_j % 159.03/158.72 => 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 ) % 159.03/158.72 & ( V_i != V_j % 159.03/158.72 => 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) ) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_listsum__abs,axiom, % 159.03/158.72 ! [V_xs_2,T_a] : % 159.03/158.72 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_a,T_a),c_Groups_Oabs__class_Oabs(T_a)),V_xs_2)))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_uminus__listsum__map,axiom, % 159.03/158.72 ! [V_xs_2,V_f_2,T_b,T_a] : % 159.03/158.72 ( class_Groups_Oab__group__add(T_a) % 159.03/158.72 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_Fun_Ocomp(T_a,T_a,T_b,c_Groups_Ouminus__class_Ouminus(T_a)),V_f_2)),V_xs_2)) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_distinct__listsum__conv__Setsum,axiom, % 159.03/158.72 ! [V_xs_2,T_a] : % 159.03/158.72 ( class_Groups_Ocomm__monoid__add(T_a) % 159.03/158.72 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.03/158.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_a),c_COMBI(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_set__update__memI,axiom, % 159.03/158.72 ! [V_x_2,V_xs_2,T_a,V_n_2] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_n_2),V_x_2)))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_listsum__distinct__conv__setsum__set,axiom, % 159.03/158.72 ! [V_f_2,V_xs_2,T_a,T_b] : % 159.03/158.72 ( class_Groups_Ocomm__monoid__add(T_b) % 159.03/158.72 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.03/158.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_interv__listsum__conv__setsum__set__int,axiom, % 159.03/158.72 ! [V_l_2,V_k_2,V_f_2,T_a] : % 159.03/158.72 ( class_Groups_Ocomm__monoid__add(T_a) % 159.03/158.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_a),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_a),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_setsum__set__upto__conv__listsum__int,axiom, % 159.03/158.72 ! [V_j_2,V_i_2,V_f_2,T_a] : % 159.03/158.72 ( class_Groups_Ocomm__monoid__add(T_a) % 159.03/158.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),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_a),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_a),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_listsum__triv,axiom, % 159.03/158.72 ! [V_xs_2,V_r_2,T_b,T_a] : % 159.03/158.72 ( class_Rings_Osemiring__1(T_a) % 159.03/158.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_COMBK(T_a,T_b),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),V_r_2) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_map__upds__twist,axiom, % 159.03/158.72 ! [V_bs_2,V_b_2,V_m_2,T_b,V_as_2,V_a_2,T_a] : % 159.03/158.72 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_as_2))) % 159.03/158.72 => c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2)),V_as_2,V_bs_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__upds(T_a,T_b,V_m_2,V_as_2,V_bs_2)),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2)) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_listsum__map__remove1,axiom, % 159.03/158.72 ! [V_f_2,V_xs_2,V_x_2,T_a,T_b] : % 159.03/158.72 ( class_Groups_Ocomm__monoid__add(T_b) % 159.03/158.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),c_List_Oremove1(T_a,V_x_2,V_xs_2)))) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_Nitpick_Osetsum_H__def,axiom, % 159.03/158.72 ! [V_f_2,V_A_2,T_a,T_b] : % 159.03/158.72 ( class_Groups_Ocomm__monoid__add(T_b) % 159.03/158.72 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.03/158.72 => c_Nitpick_Osetsum_H(T_a,T_b,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_a),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_List_Oset(T_a))),V_A_2))),c_List_Odistinct(T_a))))) ) % 159.03/158.72 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.03/158.72 => c_Nitpick_Osetsum_H(T_a,T_b,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_listsum__mono,axiom, % 159.03/158.72 ! [V_g_2,V_f_2,V_xs_2,T_a,T_b] : % 159.03/158.72 ( ( class_Groups_Omonoid__add(T_b) % 159.03/158.72 & class_Groups_Oordered__ab__semigroup__add(T_b) ) % 159.03/158.72 => ( ! [B_x] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_g_2),V_xs_2)))) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_Nitpick_Ocard_H__def,axiom, % 159.03/158.72 ! [V_A_2,T_a] : % 159.03/158.72 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.03/158.72 => c_Nitpick_Ocard_H(T_a,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Hilbert__Choice_OEps(tc_List_Olist(T_a),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_List_Oset(T_a))),V_A_2))),c_List_Odistinct(T_a)))) ) % 159.03/158.72 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.03/158.72 => c_Nitpick_Ocard_H(T_a,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_someI__ex,axiom, % 159.03/158.72 ! [T_a,V_P_2] : % 159.03/158.72 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 159.03/158.72 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_a,V_P_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_some__eq__ex,axiom, % 159.03/158.72 ! [T_a,V_P_2] : % 159.03/158.72 ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_a,V_P_2))) % 159.03/158.72 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_some__eq__trivial,axiom, % 159.03/158.72 ! [V_x_2,T_a] : c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ). % 159.03/158.72 % 159.03/158.72 fof(fact_some__sym__eq__trivial,axiom, % 159.03/158.72 ! [V_x_2,T_a] : c_Hilbert__Choice_OEps(T_a,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 159.03/158.72 % 159.03/158.72 fof(fact_tfl__some,axiom, % 159.03/158.72 ! [T_a,B_P] : % 159.03/158.72 ( ? [B_x] : hBOOL(hAPP(B_P,B_x)) % 159.03/158.72 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_a,B_P))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_someI,axiom, % 159.03/158.72 ! [T_a,V_x_2,V_P_2] : % 159.03/158.72 ( hBOOL(hAPP(V_P_2,V_x_2)) % 159.03/158.72 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_a,V_P_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_exE__some,axiom, % 159.03/158.72 ! [T_a,V_ca_2,V_P_2] : % 159.03/158.72 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 159.03/158.72 => ( V_ca_2 = c_Hilbert__Choice_OEps(T_a,V_P_2) % 159.03/158.72 => hBOOL(hAPP(V_P_2,V_ca_2)) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_LeastM__def,axiom, % 159.03/158.72 ! [V_P_2,V_m_2,T_a,T_b] : % 159.03/158.72 ( class_Orderings_Oord(T_b) % 159.03/158.72 => c_Hilbert__Choice_OLeastM(T_a,T_b,V_m_2,V_P_2) = c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),V_P_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Oord__class_Oless__eq(T_b)),V_m_2))),V_m_2))))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_GreatestM__def,axiom, % 159.03/158.72 ! [V_P_2,V_m_2,T_a,T_b] : % 159.03/158.72 ( class_Orderings_Oord(T_b) % 159.03/158.72 => hAPP(c_Hilbert__Choice_OGreatestM(T_a,T_b,V_m_2),V_P_2) = c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),V_P_2))),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Oord__class_Oless__eq(T_b)),V_m_2))),V_m_2))))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_all__nth__imp__all__set,axiom, % 159.03/158.72 ! [V_x_2,V_P_2,V_xs_2,T_a] : % 159.03/158.72 ( ! [B_i] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.03/158.72 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) ) % 159.03/158.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.72 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_LeastM__nat__le,axiom, % 159.03/158.72 ! [T_a,V_m_2,V_x_2,V_P_2] : % 159.03/158.72 ( hBOOL(hAPP(V_P_2,V_x_2)) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_m_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_P_2))),hAPP(V_m_2,V_x_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_LeastM__nat__lemma,axiom, % 159.03/158.72 ! [V_m_2,T_a,V_k_2,V_P_2] : % 159.03/158.72 ( hBOOL(hAPP(V_P_2,V_k_2)) % 159.03/158.72 => ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_P_2))) % 159.03/158.72 & ! [B_y] : % 159.03/158.72 ( hBOOL(hAPP(V_P_2,B_y)) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_m_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_P_2))),hAPP(V_m_2,B_y))) ) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_split__paired__Eps,axiom, % 159.03/158.72 ! [V_P_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),V_P_2) = c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b)))) ). % 159.03/158.72 % 159.03/158.72 fof(fact_Eps__split__eq,axiom, % 159.03/158.72 ! [V_y_2,V_x_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2) ). % 159.03/158.72 % 159.03/158.72 fof(fact_Eps__split,axiom, % 159.03/158.72 ! [V_P_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2)) = c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),tc_prod(T_a,T_b)),V_P_2),c_Product__Type_Ofst(T_a,T_b))),c_Product__Type_Osnd(T_a,T_b))) ). % 159.03/158.72 % 159.03/158.72 fof(fact_Greatest__def,axiom, % 159.03/158.72 ! [T_a] : % 159.03/158.72 ( class_Orderings_Oord(T_a) % 159.03/158.72 => c_Hilbert__Choice_OGreatest(T_a) = c_Hilbert__Choice_OGreatestM(T_a,T_a,c_COMBI(T_a)) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_list__size__conv__listsum,axiom, % 159.03/158.72 ! [V_xs_2,V_f_2,T_a] : c_List_Olist_Olist__size(T_a,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_a,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)) ). % 159.03/158.72 % 159.03/158.72 fof(fact_map__upd__upds__conv__if,axiom, % 159.03/158.72 ! [V_y_2,V_f_2,V_xs_2,V_ys_2,T_b,V_x_2,T_a] : % 159.03/158.72 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)),V_xs_2)))) % 159.03/158.72 => c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_f_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)),V_xs_2,V_ys_2) = c_Map_Omap__upds(T_a,T_b,V_f_2,V_xs_2,V_ys_2) ) % 159.03/158.72 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)),V_xs_2)))) % 159.03/158.72 => c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_f_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)),V_xs_2,V_ys_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__upds(T_a,T_b,V_f_2,V_xs_2,V_ys_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_LeastM__natI,axiom, % 159.03/158.72 ! [V_m_2,T_a,V_k_2,V_P_2] : % 159.03/158.72 ( hBOOL(hAPP(V_P_2,V_k_2)) % 159.03/158.72 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_P_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_distinct__take,axiom, % 159.03/158.72 ! [V_i,V_xs,T_a] : % 159.03/158.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 159.03/158.72 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_take__take,axiom, % 159.03/158.72 ! [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) ). % 159.03/158.72 % 159.03/158.72 fof(fact_take__zip,axiom, % 159.03/158.72 ! [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)) ). % 159.03/158.72 % 159.03/158.72 fof(fact_take__all,axiom, % 159.03/158.72 ! [V_n,V_xs,T_a] : % 159.03/158.72 ( 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)) % 159.03/158.72 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_list__size__map,axiom, % 159.03/158.72 ! [V_xs_2,V_g_2,T_b,V_f_2,T_a] : c_List_Olist_Olist__size(T_a,V_f_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_b,hAPP(c_Fun_Ocomp(T_a,tc_Nat_Onat,T_b,V_f_2),V_g_2),V_xs_2) ). % 159.03/158.72 % 159.03/158.72 fof(fact_take__map,axiom, % 159.03/158.72 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)) ). % 159.03/158.72 % 159.03/158.72 fof(fact_in__set__takeD,axiom, % 159.03/158.72 ! [V_xs_2,V_n_2,V_x_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2)))) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_set__take__subset,axiom, % 159.03/158.72 ! [V_xs_2,V_n_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ). % 159.03/158.72 % 159.03/158.72 fof(fact_nth__take,axiom, % 159.03/158.72 ! [V_xs,T_a,V_n,V_i] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 159.03/158.72 => 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) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_length__take,axiom, % 159.03/158.72 ! [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) ). % 159.03/158.72 % 159.03/158.72 fof(fact_sublist__upt__eq__take,axiom, % 159.03/158.72 ! [V_n_2,V_l_2,T_a] : c_List_Osublist(T_a,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_l_2) ). % 159.03/158.72 % 159.03/158.72 fof(fact_set__take__subset__set__take,axiom, % 159.03/158.72 ! [V_xs_2,T_a,V_n_2,V_m_2] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2)))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_dom__map__upds,axiom, % 159.03/158.72 ! [V_ys_2,V_xs_2,V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)),V_xs_2))),c_Map_Odom(T_a,T_b,V_m_2)) ). % 159.03/158.72 % 159.03/158.72 fof(fact_list__size__estimation,axiom, % 159.03/158.72 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2))) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_list__size__estimation_H,axiom, % 159.03/158.72 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2))) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_lexord__take__index__conv,axiom, % 159.03/158.72 ! [V_r_2,V_y_2,V_x_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) % 159.03/158.72 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2))) % 159.03/158.72 & hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2)),V_y_2) = V_x_2 ) % 159.03/158.72 | ? [B_i] : % 159.03/158.72 ( 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_a)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2)))) % 159.03/158.72 & hAPP(hAPP(c_List_Otake(T_a),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_a),B_i),V_y_2) % 159.03/158.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_y_2),B_i))),V_r_2)) ) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_list__size__pointwise,axiom, % 159.03/158.72 ! [V_g_2,V_f_2,V_xs_2,T_a] : % 159.03/158.72 ( ! [B_x] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_a,V_g_2,V_xs_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_butlast__take,axiom, % 159.03/158.72 ! [V_xs,T_a,V_n] : % 159.03/158.72 ( 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))) % 159.03/158.72 => 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) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_map__butlast,axiom, % 159.03/158.72 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Obutlast(T_b,V_xs_2)) = c_List_Obutlast(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ). % 159.03/158.72 % 159.03/158.72 fof(fact_in__set__butlastD,axiom, % 159.03/158.72 ! [V_xs_2,V_x_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_xs_2)))) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_take__butlast,axiom, % 159.03/158.72 ! [V_xs,T_a,V_n] : % 159.03/158.72 ( 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))) % 159.03/158.72 => 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) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_length__butlast,axiom, % 159.03/158.72 ! [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)) ). % 159.03/158.72 % 159.03/158.72 fof(fact_butlast__conv__take,axiom, % 159.03/158.72 ! [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) ). % 159.03/158.72 % 159.03/158.72 fof(fact_butlast__list__update,axiom, % 159.03/158.72 ! [V_x,V_xs,T_a,V_k] : % 159.03/158.72 ( ( 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)) % 159.03/158.72 => 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) ) % 159.03/158.72 & ( 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)) % 159.03/158.72 => 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) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_listrel__iff__nth,axiom, % 159.03/158.72 ! [V_r_2,V_ys_2,V_xs_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2))) % 159.03/158.72 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) % 159.03/158.72 & ! [B_n] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_a),V_ys_2),B_n))),V_r_2)) ) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_lexord__lex,axiom, % 159.03/158.72 ! [V_r_2,V_y_2,V_x_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olex(T_a,V_r_2))) % 159.03/158.72 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) % 159.03/158.72 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2) ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_lexn__length,axiom, % 159.03/158.72 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_a,V_r_2),V_n_2))) % 159.03/158.72 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = V_n_2 % 159.03/158.72 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = V_n_2 ) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_listrel__mono,axiom, % 159.03/158.72 ! [V_s_2,V_r_2,T_a] : % 159.03/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) % 159.03/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),c_List_Olistrel(T_a,V_s_2))) ) ). % 159.03/158.72 % 159.03/158.72 fof(fact_lex__def,axiom, % 159.03/158.72 ! [V_r_2,T_a] : c_List_Olex(T_a,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_a,V_r_2)) ). % 159.03/158.72 % 159.03/158.72 fof(fact_lexn_Osimps_I1_J,axiom, % 159.03/158.72 ! [V_r_2,T_a] : hAPP(c_List_Olexn(T_a,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel__eq__len,axiom, % 159.04/158.72 ! [V_r_2,V_ys_2,V_xs_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2))) % 159.04/158.72 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lenlex__conv,axiom, % 159.04/158.72 ! [V_r_2,T_a] : c_List_Olenlex(T_a,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBC(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))))),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a))))),c_List_Olex(T_a,V_r_2)))))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lenlex__def,axiom, % 159.04/158.72 ! [V_r_2,T_a] : c_List_Olenlex(T_a,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_a)),tc_List_Olist(T_a)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_a),c_Wellfounded_Oless__than,c_List_Olex(T_a,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_prod(tc_Nat_Onat,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_a),tc_prod(tc_Nat_Onat,tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_a))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_COMBI(tc_List_Olist(T_a)))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrelp__listrel__eq,axiom, % 159.04/158.72 ! [V_xa_2,V_x_2,V_r_2,T_a] : % 159.04/158.72 ( c_List_Olistrelp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2),V_x_2,V_xa_2) % 159.04/158.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_xa_2)),c_List_Olistrel(T_a,V_r_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel__iff__zip,axiom, % 159.04/158.72 ! [V_r_2,V_ys_2,V_xs_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2))) % 159.04/158.72 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) % 159.04/158.72 & ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_ys_2)))) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),B_x)) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lexord__irreflexive,axiom, % 159.04/158.72 ! [V_y_2,V_r_2,T_a] : % 159.04/158.72 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) % 159.04/158.72 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_y_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lexord__linear,axiom, % 159.04/158.72 ! [V_y_2,V_x_2,V_r_2,T_a] : % 159.04/158.72 ( ! [B_a,B_b] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_a),B_b)),V_r_2)) % 159.04/158.72 | B_a = B_b % 159.04/158.72 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_b),B_a)),V_r_2)) ) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) % 159.04/158.72 | V_x_2 = V_y_2 % 159.04/158.72 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_y_2),V_x_2)),c_List_Olexord(T_a,V_r_2))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_ball__empty,axiom, % 159.04/158.72 ! [V_P_2,T_a,B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) % 159.04/158.72 => hBOOL(hAPP(V_P_2,B_x)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Powp__def,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(c_Predicate_OPowp(T_a,V_A_2),V_B_2)) % 159.04/158.72 <=> ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2)) % 159.04/158.72 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_ball__UNIV,axiom, % 159.04/158.72 ! [V_P_2,T_a] : % 159.04/158.72 ( ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) % 159.04/158.72 => hBOOL(hAPP(V_P_2,B_x)) ) % 159.04/158.72 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_congruent__def,axiom, % 159.04/158.72 ! [V_f_2,V_r_2,T_b,T_a] : % 159.04/158.72 ( c_Equiv__Relations_Ocongruent(T_a,T_b,V_r_2,V_f_2) % 159.04/158.72 <=> ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),V_r_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list__eq__iff__zip__eq,axiom, % 159.04/158.72 ! [T_a,V_ys_2,V_xs_2] : % 159.04/158.72 ( V_xs_2 = V_ys_2 % 159.04/158.72 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) % 159.04/158.72 & ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_ys_2)))) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_WT__bodies__def,axiom, % 159.04/158.72 ( c_Com_OWT__bodies % 159.04/158.72 <=> ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname,tc_Com_Ocom)),B_x),hAPP(c_List_Oset(tc_prod(tc_Com_Opname,tc_Com_Ocom)),c_Com_Obodies))) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Com_Opname,tc_Com_Ocom,tc_HOL_Obool),hAPP(c_COMBK(tc_fun(tc_Com_Ocom,tc_HOL_Obool),tc_Com_Opname),c_Com_OWT)),B_x)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_refl__on__def_H,axiom, % 159.04/158.72 ! [V_r_2,V_A_2,T_a] : % 159.04/158.72 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 159.04/158.72 <=> ( ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),V_r_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),B_x)) ) % 159.04/158.72 & ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_nth__take__lemma,axiom, % 159.04/158.72 ! [V_ys,V_xs,T_a,V_k] : % 159.04/158.72 ( 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))) % 159.04/158.72 => ( 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))) % 159.04/158.72 => ( ! [B_i] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k)) % 159.04/158.72 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) ) % 159.04/158.72 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Cons__in__lex,axiom, % 159.04/158.72 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olex(T_a,V_r_2))) % 159.04/158.72 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 159.04/158.72 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) ) % 159.04/158.72 | ( V_x_2 = V_y_2 % 159.04/158.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olex(T_a,V_r_2))) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map_Osimps_I2_J,axiom, % 159.04/158.72 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list__update__code_I3_J,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_nth__Cons__0,axiom, % 159.04/158.72 ! [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 ). % 159.04/158.72 % 159.04/158.72 fof(fact_list__update_Osimps_I2_J,axiom, % 159.04/158.72 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_a),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_a,tc_List_Olist(T_a)),c_List_Olist__update(T_a,V_xs_2)),V_v_2)),V_i_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_nth__Cons__Suc,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_List_Oset_Osimps_I2_J,axiom, % 159.04/158.72 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listsum__simps_I2_J,axiom, % 159.04/158.72 ! [V_xs,V_x,T_a] : % 159.04/158.72 ( class_Groups_Omonoid__add(T_a) % 159.04/158.72 => 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)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_foldr_Osimps_I2_J,axiom, % 159.04/158.72 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,V_a_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list_Oinject,axiom, % 159.04/158.72 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H_2),V_list_H_2) % 159.04/158.72 <=> ( V_a_2 = V_a_H_2 % 159.04/158.72 & V_list_2 = V_list_H_2 ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_not__Cons__self2,axiom, % 159.04/158.72 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ). % 159.04/158.72 % 159.04/158.72 fof(fact_not__Cons__self,axiom, % 159.04/158.72 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ). % 159.04/158.72 % 159.04/158.72 fof(fact_refl__on__Id__on,axiom, % 159.04/158.72 ! [V_A_2,T_a] : c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_remove1_Osimps_I2_J,axiom, % 159.04/158.72 ! [V_xs,T_a,V_y,V_x] : % 159.04/158.72 ( ( V_x = V_y % 159.04/158.72 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs ) % 159.04/158.72 & ( V_x != V_y % 159.04/158.72 => 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)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_removeAll_Osimps_I2_J,axiom, % 159.04/158.72 ! [V_xs,T_a,V_y,V_x] : % 159.04/158.72 ( ( V_x = V_y % 159.04/158.72 => 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) ) % 159.04/158.72 & ( V_x != V_y % 159.04/158.72 => 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)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list__update__code_I2_J,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_set__ConsD,axiom, % 159.04/158.72 ! [V_xs_2,V_x_2,V_y_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)))) % 159.04/158.72 => ( V_y_2 = V_x_2 % 159.04/158.72 | hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_take__Suc__Cons,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_zip__Cons__Cons,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_insort__key_Osimps_I2_J,axiom, % 159.04/158.72 ! [V_ys_2,T_b,V_y_2,V_x_2,V_f_2,T_a] : % 159.04/158.72 ( class_Orderings_Olinorder(T_a) % 159.04/158.72 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 159.04/158.72 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) ) % 159.04/158.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 159.04/158.72 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_ys_2)) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrelp_Oequations_I2_J,axiom, % 159.04/158.72 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_a] : % 159.04/158.72 ( c_List_Olistrelp(T_a,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a2_2),V_a4_2)) % 159.04/158.72 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) % 159.04/158.72 & c_List_Olistrelp(T_a,V_r_2,V_a3_2,V_a4_2) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrelp_OCons,axiom, % 159.04/158.72 ! [V_ys_2,V_xs_2,T_a,V_y_2,V_x_2,V_r_2] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 159.04/158.72 => ( c_List_Olistrelp(T_a,V_r_2,V_xs_2,V_ys_2) % 159.04/158.72 => c_List_Olistrelp(T_a,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_impossible__Cons,axiom, % 159.04/158.72 ! [V_x,V_ys,V_xs,T_a] : % 159.04/158.72 ( 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))) % 159.04/158.72 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_set__subset__Cons,axiom, % 159.04/158.72 ! [V_x_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_triples__valid__Suc,axiom, % 159.04/158.72 ! [V_n_2,V_ts_2,T_a] : % 159.04/158.72 ( ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_ts_2)) % 159.04/158.72 => c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n_2),B_x) ) % 159.04/158.72 => ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_ts_2)) % 159.04/158.72 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,B_x) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_nth_Osimps,axiom, % 159.04/158.72 ! [V_n_2,V_xs_2,V_x_2,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_a,V_x_2,hAPP(c_List_Onth(T_a),V_xs_2),V_n_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_refl__on__empty,axiom, % 159.04/158.72 ! [T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_hoare__valids__def,axiom, % 159.04/158.72 ! [V_ts_2,V_Ga_2,T_a] : % 159.04/158.72 ( c_Hoare__Mirabelle_Ohoare__valids(T_a,V_Ga_2,V_ts_2) % 159.04/158.72 <=> ! [B_n] : % 159.04/158.72 ( ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_Ga_2)) % 159.04/158.72 => c_Hoare__Mirabelle_Otriple__valid(T_a,B_n,B_x) ) % 159.04/158.72 => ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_ts_2)) % 159.04/158.72 => c_Hoare__Mirabelle_Otriple__valid(T_a,B_n,B_x) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_refl__on__Un,axiom, % 159.04/158.72 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_a] : % 159.04/158.72 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 159.04/158.72 => ( c_Relation_Orefl__on(T_a,V_B_2,V_s_2) % 159.04/158.72 => c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_refl__on__Int,axiom, % 159.04/158.72 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_a] : % 159.04/158.72 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 159.04/158.72 => ( c_Relation_Orefl__on(T_a,V_B_2,V_s_2) % 159.04/158.72 => c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_distinct_Osimps_I2_J,axiom, % 159.04/158.72 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) % 159.04/158.72 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.72 & hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__of__Cons__code_I2_J,axiom, % 159.04/158.72 ! [V_ps,V_v,T_c,T_b,V_k,V_l] : % 159.04/158.72 ( ( V_l = V_k % 159.04/158.72 => hAPP(hAPP(c_Map_Omap__of(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_l),V_v)),V_ps)),V_k) = hAPP(c_Option_Ooption_OSome(T_c),V_v) ) % 159.04/158.72 & ( V_l != V_k % 159.04/158.72 => hAPP(hAPP(c_Map_Omap__of(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_l),V_v)),V_ps)),V_k) = hAPP(hAPP(c_Map_Omap__of(T_b,T_c),V_ps),V_k) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__upds__Cons,axiom, % 159.04/158.72 ! [V_bs_2,V_b_2,V_as_2,V_a_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_as_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_bs_2)) = c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2)),V_as_2,V_bs_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_refl__onD,axiom, % 159.04/158.72 ! [V_a_2,V_r_2,V_A_2,T_a] : % 159.04/158.72 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_refl__onD1,axiom, % 159.04/158.72 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] : % 159.04/158.72 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_refl__onD2,axiom, % 159.04/158.72 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] : % 159.04/158.72 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list_Osize_I4_J,axiom, % 159.04/158.72 ! [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))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_nth__Cons_H,axiom, % 159.04/158.72 ! [V_xs,V_x,T_a,V_n] : % 159.04/158.72 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.72 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x ) % 159.04/158.72 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.72 => 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))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list_Osize_I2_J,axiom, % 159.04/158.72 ! [V_list_2,V_a_2,V_fa_2,T_a] : c_List_Olist_Olist__size(T_a,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_a),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_a,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_nth__Cons__number__of,axiom, % 159.04/158.72 ! [V_xs,V_x,T_a,V_v] : % 159.04/158.72 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.72 => 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 ) % 159.04/158.72 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.72 => 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))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel_OCons,axiom, % 159.04/158.72 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2))) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel(T_a,V_r_2))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lexord__cons__cons,axiom, % 159.04/158.72 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_b_2),V_y_2))),c_List_Olexord(T_a,V_r_2))) % 159.04/158.72 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 159.04/158.72 | ( V_a_2 = V_b_2 % 159.04/158.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__of_Osimps_I2_J,axiom, % 159.04/158.72 ! [V_ps_2,V_p_2,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_a,T_b)),V_p_2),V_ps_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),hAPP(c_Map_Omap__of(T_a,T_b),V_ps_2)),hAPP(c_Product__Type_Ofst(T_a,T_b),V_p_2)),hAPP(c_Option_Ooption_OSome(T_b),hAPP(c_Product__Type_Osnd(T_a,T_b),V_p_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel__Cons,axiom, % 159.04/158.72 ! [V_xs_2,V_x_2,V_r_2,T_a] : hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = c_List_Oset__Cons(T_a,hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_set__Cons__def,axiom, % 159.04/158.72 ! [V_XS_2,V_A_2,T_a] : c_List_Oset__Cons(T_a,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_a)),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),c_COMBS(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),T_a),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_List_Olist(T_a),tc_HOL_Obool,tc_List_Olist(T_a))),c_fequal))),c_List_Olist_OCons(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),V_XS_2)))))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lexn_Osimps_I2_J,axiom, % 159.04/158.72 ! [V_n_2,V_r_2,T_a] : hAPP(c_List_Olexn(T_a,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_a),tc_List_Olist(T_a)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_a,tc_List_Olist(T_a)),tc_prod(T_a,tc_List_Olist(T_a))),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_Product__Type_Omap__pair(tc_prod(T_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),tc_prod(T_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)))),c_Wellfounded_Olex__prod(T_a,tc_List_Olist(T_a),V_r_2,hAPP(c_List_Olexn(T_a,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),hAPP(c_Nat_OSuc,V_n_2)))))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__pair__imageI,axiom, % 159.04/158.72 ! [V_g_2,V_f_2,T_d,T_c,V_R_2,V_b_2,V_a_2,T_b,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_R_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_a,T_b),tc_prod(T_c,T_d),c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2)),V_R_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__pair__simp,axiom, % 159.04/158.72 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_b,T_d,T_a,T_c] : hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_snd__comp__map__pair,axiom, % 159.04/158.72 ! [V_g_2,V_f_2,T_b,T_a,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_c),T_c,tc_prod(T_a,T_b),c_Product__Type_Osnd(T_d,T_c)),c_Product__Type_Omap__pair(T_a,T_d,T_b,T_c,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_c,tc_prod(T_a,T_b),V_g_2),c_Product__Type_Osnd(T_a,T_b)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__pair_Ocompositionality,axiom, % 159.04/158.72 ! [V_prod_2,V_i_2,V_h_2,T_f,T_e,V_g_2,V_f_2,T_b,T_d,T_a,T_c] : hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_e,T_a,T_f,T_b,hAPP(c_Fun_Ocomp(T_c,T_a,T_e,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_g_2),V_i_2)),V_prod_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__pair__compose,axiom, % 159.04/158.72 ! [V_g2_2,V_g1_2,T_f,V_f2_2,V_f1_2,T_e,T_d,T_b,T_c,T_a] : c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,hAPP(c_Fun_Ocomp(T_e,T_c,T_a,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_e,T_f),tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_a,T_e,T_b,T_f,V_f2_2,V_g2_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__pair_Ocomp,axiom, % 159.04/158.72 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_b,T_a,T_d,T_c,T_f,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_f),tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_a,T_e,T_b,T_f,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,hAPP(c_Fun_Ocomp(T_e,T_c,T_a,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_g_2),V_i_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_fst__comp__map__pair,axiom, % 159.04/158.72 ! [V_g_2,V_f_2,T_b,T_a,T_d,T_c] : hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,tc_prod(T_a,T_b),c_Product__Type_Ofst(T_c,T_d)),c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_a,T_c,tc_prod(T_a,T_b),V_f_2),c_Product__Type_Ofst(T_a,T_b)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__pair__ident,axiom, % 159.04/158.72 ! [V_z_2,T_b,T_a] : hAPP(c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_COMBI(T_a),c_COMBI(T_b)),V_z_2) = V_z_2 ). % 159.04/158.72 % 159.04/158.72 fof(fact_snd__prod__fun,axiom, % 159.04/158.72 ! [V_x_2,V_g_2,V_f_2,T_d,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Omap__pair(T_c,T_b,T_d,T_a,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_fst__map__pair,axiom, % 159.04/158.72 ! [V_x_2,V_g_2,V_f_2,T_d,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__pair__def,axiom, % 159.04/158.72 ! [V_g_2,V_f_2,T_d,T_b,T_c,T_a] : c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_c,T_d)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_d),tc_fun(T_b,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_b,T_d),tc_fun(T_b,tc_prod(T_c,T_d))),T_a),c_COMBB(T_d,tc_prod(T_c,T_d),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_a),c_Product__Type_OPair(T_c,T_d)),V_f_2))),V_g_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__pair__surj,axiom, % 159.04/158.72 ! [V_g_2,T_c,T_d,V_f_2,T_a,T_b] : % 159.04/158.72 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 => ( hAPP(c_Set_Oimage(T_d,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) % 159.04/158.72 => hAPP(c_Set_Oimage(tc_prod(T_b,T_d),tc_prod(T_a,T_c),c_Product__Type_Omap__pair(T_b,T_a,T_d,T_c,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_reflp__def,axiom, % 159.04/158.72 ! [V_r_2,T_a] : % 159.04/158.72 ( c_Predicate_Oreflp(T_a,V_r_2) % 159.04/158.72 <=> c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel__Cons1,axiom, % 159.04/158.72 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_a,V_r_2))) % 159.04/158.72 => ~ ! [B_y,B_ys] : % 159.04/158.72 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_y),B_ys) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),B_y)),V_r_2)) % 159.04/158.72 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_ys_2),B_ys)),c_List_Olistrel(T_a,V_r_2))) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_reflpE,axiom, % 159.04/158.72 ! [V_x_2,V_r_2,T_a] : % 159.04/158.72 ( c_Predicate_Oreflp(T_a,V_r_2) % 159.04/158.72 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel__Cons2,axiom, % 159.04/158.72 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel(T_a,V_r_2))) % 159.04/158.72 => ~ ! [B_x,B_xs] : % 159.04/158.72 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_xs) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_y_2)),V_r_2)) % 159.04/158.72 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),B_xs),V_ys_2)),c_List_Olistrel(T_a,V_r_2))) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_prod__fun__imageE,axiom, % 159.04/158.72 ! [V_R_2,V_g_2,V_f_2,T_d,T_c,V_ca_2,T_b,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_ca_2),hAPP(c_Set_Oimage(tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2)),V_R_2))) % 159.04/158.72 => ~ ! [B_x,B_y] : % 159.04/158.72 ( V_ca_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y)) % 159.04/158.72 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)),V_R_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_image__split__eq__Sigma,axiom, % 159.04/158.72 ! [V_A_2,V_g_2,V_f_2,T_b,T_a,T_c] : hAPP(c_Set_Oimage(T_c,tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_Oimage(T_c,T_a,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_Oimage(T_c,T_b,V_g_2)),hAPP(hAPP(c_COMBC(T_a,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_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_a),c_Set_Ovimage(T_c,T_a,V_f_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_A_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel1__subset__listrel,axiom, % 159.04/158.72 ! [V_r_H_2,V_r_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_r_H_2)) % 159.04/158.72 => ( c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_r_H_2) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,V_r_2)),c_List_Olistrel(T_a,V_r_H_2))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_SigmaI,axiom, % 159.04/158.72 ! [V_B_2,V_b_2,T_b,V_A_2,V_a_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Sigma__empty1,axiom, % 159.04/158.72 ! [V_B_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Times__eq__cancel2,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_b,V_C_2,V_x_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2)) % 159.04/158.72 => ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_B_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2)) % 159.04/158.72 <=> V_A_2 = V_B_2 ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_setsum__cartesian__product,axiom, % 159.04/158.72 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] : % 159.04/158.72 ( class_Groups_Ocomm__monoid__add(T_a) % 159.04/158.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),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_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_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))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Times__empty,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_b,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) % 159.04/158.72 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Sigma__empty2,axiom, % 159.04/158.72 ! [V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Compl__Times__UNIV2,axiom, % 159.04/158.72 ! [V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Compl__Times__UNIV1,axiom, % 159.04/158.72 ! [V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_setprod__cartesian__product,axiom, % 159.04/158.72 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] : % 159.04/158.72 ( class_Groups_Ocomm__monoid__mult(T_a) % 159.04/158.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_a)),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_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_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))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Sigma__Diff__distrib2,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,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_a),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(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Times__Diff__distrib1,axiom, % 159.04/158.72 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Sigma__Diff__distrib1,axiom, % 159.04/158.72 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_card__cartesian__product,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Sigma__Un__distrib2,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,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_a),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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Times__Un__distrib1,axiom, % 159.04/158.72 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Sigma__Un__distrib1,axiom, % 159.04/158.72 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_finite__cartesian__product,axiom, % 159.04/158.72 ! [V_B_2,T_b,V_A_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 159.04/158.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_equiv__type,axiom, % 159.04/158.72 ! [V_r_2,V_A_2,T_a] : % 159.04/158.72 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Sigma__Int__distrib1,axiom, % 159.04/158.72 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Times__Int__distrib1,axiom, % 159.04/158.72 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Sigma__Int__distrib2,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,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_a),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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Id__on__subset__Times,axiom, % 159.04/158.72 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId__on(T_a,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_UNIV__Times__UNIV,axiom, % 159.04/158.72 ! [T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_mem__Sigma__iff,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) % 159.04/158.72 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 159.04/158.72 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_SigmaD1,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_SigmaD2,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_SigmaE2,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) % 159.04/158.72 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 159.04/158.72 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_card__cartesian__product__singleton,axiom, % 159.04/158.72 ! [V_A_2,V_x_2,T_b,T_a] : hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Times__subset__cancel2,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_b,V_C_2,V_x_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2)) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_B_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2)))) % 159.04/158.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel1__mono,axiom, % 159.04/158.72 ! [V_s_2,V_r_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,V_r_2)),c_List_Olistrel1(T_a,V_s_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Image__subset,axiom, % 159.04/158.72 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_b,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_C_2)),V_B_2)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_finite__cartesian__productD1,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_b,T_a] : % 159.04/158.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) % 159.04/158.72 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 159.04/158.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_finite__cartesian__productD2,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_b,T_a] : % 159.04/158.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) % 159.04/158.72 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_SetCompr__Sigma__eq,axiom, % 159.04/158.72 ! [V_Q_2,V_P_2,T_b,T_a] : hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_a,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_a),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_a),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),V_Q_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Collect__split,axiom, % 159.04/158.72 ! [V_Q_2,V_P_2,T_b,T_a] : hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_OCollect(T_b),V_Q_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_fst__image__times,axiom, % 159.04/158.72 ! [V_A_2,T_b,T_a,V_B_2] : % 159.04/158.72 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 => hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 159.04/158.72 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 => hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = V_A_2 ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_snd__image__times,axiom, % 159.04/158.72 ! [V_B_2,T_b,T_a,V_A_2] : % 159.04/158.72 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 159.04/158.72 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = V_B_2 ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__pair__surj__on,axiom, % 159.04/158.72 ! [V_B_H_2,V_B_2,V_g_2,T_c,T_d,V_A_H_2,V_A_2,V_f_2,T_a,T_b] : % 159.04/158.72 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = V_A_H_2 % 159.04/158.72 => ( hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_B_2) = V_B_H_2 % 159.04/158.72 => hAPP(c_Set_Oimage(tc_prod(T_b,T_d),tc_prod(T_a,T_c),c_Product__Type_Omap__pair(T_b,T_a,T_d,T_c,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))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_H_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_B_H_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_swap__product,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_a),tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_prod(T_a,T_b)),hAPP(c_COMBC(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel1I2,axiom, % 159.04/158.72 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_ys_2))),c_List_Olistrel1(T_a,V_r_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel1__eq__len,axiom, % 159.04/158.72 ! [V_r_2,V_ys_2,V_xs_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) % 159.04/158.72 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_refl__on__def,axiom, % 159.04/158.72 ! [V_r_2,V_A_2,T_a] : % 159.04/158.72 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 159.04/158.72 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) % 159.04/158.72 & ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_insert__times__insert,axiom, % 159.04/158.72 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_finite__equiv__class,axiom, % 159.04/158.72 ! [V_X_2,V_r_2,V_A_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) % 159.04/158.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_X_2)) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__pair__inj__on,axiom, % 159.04/158.72 ! [V_B_2,V_g_2,T_d,T_c,V_A_2,V_f_2,T_b,T_a] : % 159.04/158.72 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 159.04/158.72 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,V_B_2) % 159.04/158.72 => c_Fun_Oinj__on(tc_prod(T_a,T_c),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_a,T_b,T_c,T_d,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_B_2))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_UN__Times__distrib,axiom, % 159.04/158.72 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_b,T_a,T_d,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_c,T_d),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),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(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),tc_fun(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),tc_fun(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_c),c_Product__Type_OSigma(T_a,T_b)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),T_d),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_F_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Sigma__def,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_finite__quotient,axiom, % 159.04/158.72 ! [V_r_2,V_A_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) % 159.04/158.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_vimage__Times,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,tc_prod(T_b,T_c),V_f_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))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,hAPP(c_Fun_Ocomp(tc_prod(T_b,T_c),T_b,T_a,c_Product__Type_Ofst(T_b,T_c)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_b,T_c),T_c,T_a,c_Product__Type_Osnd(T_b,T_c)),V_f_2)),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel1I1,axiom, % 159.04/158.72 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_xs_2))),c_List_Olistrel1(T_a,V_r_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Cons__listrel1__Cons,axiom, % 159.04/158.72 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel1(T_a,V_r_2))) % 159.04/158.72 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 159.04/158.72 & V_xs_2 = V_ys_2 ) % 159.04/158.72 | ( V_x_2 = V_y_2 % 159.04/158.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel1__iff__update,axiom, % 159.04/158.72 ! [V_r_2,V_ys_2,V_xs_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) % 159.04/158.72 <=> ? [B_y,B_n] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n)),B_y)),V_r_2)) % 159.04/158.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.04/158.72 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),B_n),B_y) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_setsum__mult__setsum__if__inj,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_b,T_a,T_c] : % 159.04/158.72 ( class_Rings_Osemiring__0(T_c) % 159.04/158.72 => ( c_Fun_Oinj__on(tc_prod(T_a,T_b),T_c,hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_c),tc_fun(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_c),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),T_a),c_COMBB(T_c,T_c,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_a),c_Groups_Otimes__class_Otimes(T_c)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) % 159.04/158.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,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_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_c),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_a),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_c),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),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_a,tc_fun(T_b,T_c)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_b,T_c)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool),T_a)),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))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_c),tc_fun(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_c),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),T_a),c_COMBB(T_c,T_c,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_a),c_Groups_Otimes__class_Otimes(T_c)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),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))))))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_surj__id,axiom, % 159.04/158.72 ! [T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_Fun_Oid(T_a)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_image__id,axiom, % 159.04/158.72 ! [V_Y_2,T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_Fun_Oid(T_a)),V_Y_2) = V_Y_2 ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__pair_Oidentity,axiom, % 159.04/158.72 ! [T_b,T_a] : c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_COMBI(T_a),c_COMBI(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__pair_Oid,axiom, % 159.04/158.72 ! [T_b,T_a] : c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_Fun_Oid(T_a),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_o__eq__id__dest,axiom, % 159.04/158.72 ! [V_v_2,V_ca_2,V_b_2,V_a_2,T_a,T_b,T_c] : % 159.04/158.72 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_a,c_Fun_Oid(T_b)),V_ca_2) % 159.04/158.72 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_o__id,axiom, % 159.04/158.72 ! [V_f_2,T_b,T_a] : hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_f_2),c_Fun_Oid(T_a)) = V_f_2 ). % 159.04/158.72 % 159.04/158.72 fof(fact_id__o,axiom, % 159.04/158.72 ! [V_g_2,T_a,T_b] : hAPP(c_Fun_Ocomp(T_b,T_b,T_a,c_Fun_Oid(T_b)),V_g_2) = V_g_2 ). % 159.04/158.72 % 159.04/158.72 fof(fact_of__int__eq__id,axiom, % 159.04/158.72 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ). % 159.04/158.72 % 159.04/158.72 fof(fact_apfst__id,axiom, % 159.04/158.72 ! [T_b,T_a] : c_Product__Type_Oapfst(T_a,T_a,T_b,c_Fun_Oid(T_a)) = c_Fun_Oid(tc_prod(T_a,T_b)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_apsnd__id,axiom, % 159.04/158.72 ! [T_a,T_b] : c_Product__Type_Oapsnd(T_b,T_b,T_a,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Option_Omap_Oidentity,axiom, % 159.04/158.72 ! [T_a] : hAPP(c_Option_Omap(T_a,T_a),c_COMBI(T_a)) = c_Fun_Oid(tc_Option_Ooption(T_a)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Option_Omap_Oid,axiom, % 159.04/158.72 ! [T_a] : hAPP(c_Option_Omap(T_a,T_a),c_Fun_Oid(T_a)) = c_Fun_Oid(tc_Option_Ooption(T_a)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_id__apply,axiom, % 159.04/158.72 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 159.04/158.72 % 159.04/158.72 fof(fact_id__def,axiom, % 159.04/158.72 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ). % 159.04/158.72 % 159.04/158.72 fof(fact_vimage__id,axiom, % 159.04/158.72 ! [V_A_2,T_a] : hAPP(c_Set_Ovimage(T_a,T_a,c_Fun_Oid(T_a)),V_A_2) = V_A_2 ). % 159.04/158.72 % 159.04/158.72 fof(fact_inj__on__id,axiom, % 159.04/158.72 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,T_a,c_Fun_Oid(T_a),V_A_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_List_Omap_Oid,axiom, % 159.04/158.72 ! [T_a] : hAPP(c_List_Omap(T_a,T_a),c_Fun_Oid(T_a)) = c_Fun_Oid(tc_List_Olist(T_a)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_List_Omap_Oidentity,axiom, % 159.04/158.72 ! [T_a] : hAPP(c_List_Omap(T_a,T_a),c_COMBI(T_a)) = c_Fun_Oid(tc_List_Olist(T_a)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_folding_Oempty,axiom, % 159.04/158.72 ! [V_F_2,V_f_2,T_b,T_a] : % 159.04/158.72 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 159.04/158.72 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Fun_Oid(T_b) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_apfst__def,axiom, % 159.04/158.72 ! [V_f_2,T_b,T_c,T_a] : c_Product__Type_Oapfst(T_a,T_c,T_b,V_f_2) = c_Product__Type_Omap__pair(T_a,T_c,T_b,T_b,V_f_2,c_Fun_Oid(T_b)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_apsnd__def,axiom, % 159.04/158.72 ! [V_f_2,T_a,T_c,T_b] : c_Product__Type_Oapsnd(T_b,T_c,T_a,V_f_2) = c_Product__Type_Omap__pair(T_a,T_a,T_b,T_c,c_Fun_Oid(T_a),V_f_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_split__Pair,axiom, % 159.04/158.72 ! [T_b,T_a] : hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_setsum__reindex__id,axiom, % 159.04/158.72 ! [V_B_2,V_f_2,T_a,T_b] : % 159.04/158.72 ( class_Groups_Ocomm__monoid__add(T_b) % 159.04/158.72 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2) % 159.04/158.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_Fun_Oid(T_b)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_setprod__reindex__id,axiom, % 159.04/158.72 ! [V_B_2,V_f_2,T_a,T_b] : % 159.04/158.72 ( class_Groups_Ocomm__monoid__mult(T_b) % 159.04/158.72 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2) % 159.04/158.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_b),c_Fun_Oid(T_b)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Ex__inj__on__UNION__Sigma,axiom, % 159.04/158.72 ! [V_A_2,V_I_2,T_b,T_a] : % 159.04/158.72 ? [B_f] : % 159.04/158.72 ( c_Fun_Oinj__on(T_a,tc_prod(T_b,T_a),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)) % 159.04/158.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,tc_prod(T_b,T_a),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_I_2),V_A_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_setprod__Sigma,axiom, % 159.04/158.72 ! [V_f_2,V_B_2,T_b,V_A_2,T_a,T_c] : % 159.04/158.72 ( class_Groups_Ocomm__monoid__mult(T_c) % 159.04/158.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.72 => ( ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) ) % 159.04/158.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_a,T_b),T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_refl__onI,axiom, % 159.04/158.72 ! [V_A_2,V_r_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) % 159.04/158.72 => ( ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) % 159.04/158.72 => c_Relation_Orefl__on(T_a,V_A_2,V_r_2) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_setsum__Sigma,axiom, % 159.04/158.72 ! [V_f_2,V_B_2,T_b,V_A_2,T_a,T_c] : % 159.04/158.72 ( class_Groups_Ocomm__monoid__add(T_c) % 159.04/158.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.72 => ( ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) ) % 159.04/158.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_a,T_b),T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_fold__image__Sigma,axiom, % 159.04/158.72 ! [V_g_2,V_B_2,T_b,V_A_2,T_a,T_c] : % 159.04/158.72 ( class_Groups_Ocomm__monoid__mult(T_c) % 159.04/158.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.72 => ( ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) ) % 159.04/158.72 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_a,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBC(T_a,T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c)),T_a),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)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,tc_prod(T_a,T_b),c_Groups_Otimes__class_Otimes(T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_g_2)),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_card__SigmaI,axiom, % 159.04/158.72 ! [V_B_2,T_b,V_A_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.72 => ( ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) ) % 159.04/158.72 => hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),V_B_2)),V_A_2) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_finite__SigmaI,axiom, % 159.04/158.72 ! [V_B_2,T_b,V_A_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.72 => ( ! [B_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2)) % 159.04/158.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_a))) ) % 159.04/158.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel__subset,axiom, % 159.04/158.72 ! [V_A_2,V_r_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olists(T_a,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_List_Olist(T_a)),c_List_Olists(T_a,V_A_2))))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lists__mono,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olists(T_a,V_A_2)),c_List_Olists(T_a,V_B_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lists__UNIV,axiom, % 159.04/158.72 ! [T_a] : c_List_Olists(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_equiv__listrel,axiom, % 159.04/158.72 ! [V_r_2,V_A_2,T_a] : % 159.04/158.72 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 159.04/158.72 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_a),c_List_Olists(T_a,V_A_2),c_List_Olistrel(T_a,V_r_2)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel__refl__on,axiom, % 159.04/158.72 ! [V_r_2,V_A_2,T_a] : % 159.04/158.72 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 159.04/158.72 => c_Relation_Orefl__on(tc_List_Olist(T_a),c_List_Olists(T_a,V_A_2),c_List_Olistrel(T_a,V_r_2)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Cons__in__lists__iff,axiom, % 159.04/158.72 ! [V_A_2,V_xs_2,V_x_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_List_Olists(T_a,V_A_2))) % 159.04/158.72 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.04/158.72 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_in__lists__conv__set,axiom, % 159.04/158.72 ! [V_A_2,V_xs_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2))) % 159.04/158.72 <=> ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lists__eq__set,axiom, % 159.04/158.72 ! [V_A_2,T_a] : c_List_Olists(T_a,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_take__Cons__number__of,axiom, % 159.04/158.72 ! [V_xs,V_x,T_a,V_v] : % 159.04/158.72 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.72 => 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) ) % 159.04/158.72 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.72 => 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)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_partition__set,axiom, % 159.04/158.72 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_a] : % 159.04/158.72 ( c_List_Opartition(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_yes_2),V_no_2) % 159.04/158.72 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_yes_2)),hAPP(c_List_Oset(T_a),V_no_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lists_ONil,axiom, % 159.04/158.72 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olists(T_a,V_A_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel__Nil1,axiom, % 159.04/158.72 ! [V_r_2,V_xs_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xs_2)),c_List_Olistrel(T_a,V_r_2))) % 159.04/158.72 => V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel__Nil2,axiom, % 159.04/158.72 ! [V_r_2,V_xs_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olistrel(T_a,V_r_2))) % 159.04/158.72 => V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list_Osimps_I3_J,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list_Osimps_I2_J,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_set__empty,axiom, % 159.04/158.72 ! [V_xs_2,T_a] : % 159.04/158.72 ( hAPP(c_List_Oset(T_a),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_set__empty2,axiom, % 159.04/158.72 ! [V_xs_2,T_a] : % 159.04/158.72 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_List_Oset(T_a),V_xs_2) % 159.04/158.72 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_List_Oset_Osimps_I1_J,axiom, % 159.04/158.72 ! [T_a] : hAPP(c_List_Oset(T_a),c_List_Olist_ONil(T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_take__0,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_take__eq__Nil,axiom, % 159.04/158.72 ! [V_xs_2,V_n_2,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2) = c_List_Olist_ONil(T_a) % 159.04/158.72 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.72 | V_xs_2 = c_List_Olist_ONil(T_a) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Nil__is__map__conv,axiom, % 159.04/158.72 ! [V_xs_2,V_f_2,T_b,T_a] : % 159.04/158.72 ( c_List_Olist_ONil(T_a) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) % 159.04/158.72 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map_Osimps_I1_J,axiom, % 159.04/158.72 ! [V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__is__Nil__conv,axiom, % 159.04/158.72 ! [V_xs_2,V_f_2,T_a,T_b] : % 159.04/158.72 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = c_List_Olist_ONil(T_a) % 159.04/158.72 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list__update__code_I1_J,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list__update_Osimps_I1_J,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list__update__nonempty,axiom, % 159.04/158.72 ! [V_x_2,V_k_2,V_xs_2,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_a) % 159.04/158.72 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list_Osize_I3_J,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_length__0__conv,axiom, % 159.04/158.72 ! [V_xs_2,T_a] : % 159.04/158.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.72 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_sublist__nil,axiom, % 159.04/158.72 ! [V_A_2,T_a] : c_List_Osublist(T_a,c_List_Olist_ONil(T_a),V_A_2) = c_List_Olist_ONil(T_a) ). % 159.04/158.72 % 159.04/158.72 fof(fact_zip__Nil,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_zip_Osimps_I1_J,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_foldr_Osimps_I1_J,axiom, % 159.04/158.72 ! [V_a_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b),V_a_2) = V_a_2 ). % 159.04/158.72 % 159.04/158.72 fof(fact_remove1_Osimps_I1_J,axiom, % 159.04/158.72 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 159.04/158.72 % 159.04/158.72 fof(fact_insort__not__Nil,axiom, % 159.04/158.72 ! [V_xs_2,V_a_2,V_f_2,T_a,T_b] : % 159.04/158.72 ( class_Orderings_Olinorder(T_b) % 159.04/158.72 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_removeAll_Osimps_I1_J,axiom, % 159.04/158.72 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 159.04/158.72 % 159.04/158.72 fof(fact_distinct_Osimps_I1_J,axiom, % 159.04/158.72 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__upds__Nil1,axiom, % 159.04/158.72 ! [V_bs_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,c_List_Olist_ONil(T_a),V_bs_2) = V_m_2 ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__upds__Nil2,axiom, % 159.04/158.72 ! [V_as_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,V_as_2,c_List_Olist_ONil(T_b)) = V_m_2 ). % 159.04/158.72 % 159.04/158.72 fof(fact_butlast_Osimps_I1_J,axiom, % 159.04/158.72 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 159.04/158.72 % 159.04/158.72 fof(fact_take__Nil,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_partition_Osimps_I1_J,axiom, % 159.04/158.72 ! [V_P_2,T_a] : c_List_Opartition(T_a,V_P_2,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(T_a)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrelp_Oequations_I1_J,axiom, % 159.04/158.72 ! [V_r_2,T_a] : c_List_Olistrelp(T_a,V_r_2,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrelp_ONil,axiom, % 159.04/158.72 ! [V_r_2,T_a] : c_List_Olistrelp(T_a,V_r_2,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listsum__simps_I1_J,axiom, % 159.04/158.72 ! [T_a] : % 159.04/158.72 ( class_Groups_Omonoid__add(T_a) % 159.04/158.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_insort__key_Osimps_I1_J,axiom, % 159.04/158.72 ! [V_x_2,V_f_2,T_a,T_b] : % 159.04/158.72 ( class_Orderings_Olinorder(T_b) % 159.04/158.72 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__of__Cons__code_I1_J,axiom, % 159.04/158.72 ! [V_k,T_a,T_b] : hAPP(hAPP(c_Map_Omap__of(T_b,T_a),c_List_Olist_ONil(tc_prod(T_b,T_a))),V_k) = c_Option_Ooption_ONone(T_a) ). % 159.04/158.72 % 159.04/158.72 fof(fact_butlast_Osimps_I2_J,axiom, % 159.04/158.72 ! [V_x,T_a,V_xs] : % 159.04/158.72 ( ( V_xs = c_List_Olist_ONil(T_a) % 159.04/158.72 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 159.04/158.72 & ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.72 => 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)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_upto__empty,axiom, % 159.04/158.72 ! [V_i,V_j] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i)) % 159.04/158.72 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_distinct__butlast,axiom, % 159.04/158.72 ! [T_a,V_xs] : % 159.04/158.72 ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.72 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 159.04/158.72 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list_Osize_I1_J,axiom, % 159.04/158.72 ! [V_fa_2,T_a] : c_List_Olist_Olist__size(T_a,V_fa_2,c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 159.04/158.72 % 159.04/158.72 fof(fact_sorted__list__of__set__empty,axiom, % 159.04/158.72 ! [T_a] : % 159.04/158.72 ( class_Orderings_Olinorder(T_a) % 159.04/158.72 => c_List_Olinorder__class_Osorted__list__of__set(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_List_Olist_ONil(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_sublist__empty,axiom, % 159.04/158.72 ! [V_xs_2,T_a] : c_List_Osublist(T_a,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_a) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__of_Osimps_I1_J,axiom, % 159.04/158.72 ! [V_x_1,T_b,T_a] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),c_List_Olist_ONil(tc_prod(T_a,T_b))),V_x_1) = c_Option_Ooption_ONone(T_b) ). % 159.04/158.72 % 159.04/158.72 fof(fact_length__greater__0__conv,axiom, % 159.04/158.72 ! [V_xs_2,T_a] : % 159.04/158.72 ( 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_a)),V_xs_2))) % 159.04/158.72 <=> V_xs_2 != c_List_Olist_ONil(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_take__1__Cons,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_not__Nil__listrel1,axiom, % 159.04/158.72 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xs_2)),c_List_Olistrel1(T_a,V_r_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_not__listrel1__Nil,axiom, % 159.04/158.72 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olistrel1(T_a,V_r_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel_ONil,axiom, % 159.04/158.72 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(T_a))),c_List_Olistrel(T_a,V_r_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lexord__Nil__right,axiom, % 159.04/158.72 ! [V_r_2,V_x_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),c_List_Olist_ONil(T_a))),c_List_Olexord(T_a,V_r_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Nil__notin__lex,axiom, % 159.04/158.72 ! [V_r_2,V_ys_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_ys_2)),c_List_Olex(T_a,V_r_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Nil2__notin__lex,axiom, % 159.04/158.72 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olex(T_a,V_r_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_partition__P,axiom, % 159.04/158.72 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_a] : % 159.04/158.72 ( c_List_Opartition(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_yes_2),V_no_2) % 159.04/158.72 => ( ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_yes_2))) % 159.04/158.72 => hBOOL(hAPP(V_P_2,B_x)) ) % 159.04/158.72 & ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_no_2))) % 159.04/158.72 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_take__Cons,axiom, % 159.04/158.72 ! [V_xs_2,V_x_2,V_n_2,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_a),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Otake(T_a)),V_xs_2)),V_n_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_upto_Osimps,axiom, % 159.04/158.72 ! [V_j,V_i] : % 159.04/158.72 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 159.04/158.72 => 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)) ) % 159.04/158.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 159.04/158.72 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_sublist__singleton,axiom, % 159.04/158.72 ! [V_x_2,T_a,V_A_2] : % 159.04/158.72 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 159.04/158.72 => c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) % 159.04/158.72 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 159.04/158.72 => c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)),V_A_2) = c_List_Olist_ONil(T_a) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_partition_Osimps_I2_J,axiom, % 159.04/158.72 ! [V_xs_2,V_x_2,V_P_2,T_a] : c_List_Opartition(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_List_Olist(T_a)),hAPP(c_If(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(V_P_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_List_Olist_OCons(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),c_COMBB(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_List_Olist(T_a))),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(c_List_Olist_OCons(T_a),V_x_2)))),c_List_Opartition(T_a,V_P_2,V_xs_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lists__empty,axiom, % 159.04/158.72 ! [T_a] : c_List_Olists(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_take__Cons_H,axiom, % 159.04/158.72 ! [V_xs,V_x,T_a,V_n] : % 159.04/158.72 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.72 => 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) ) % 159.04/158.72 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.72 => 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)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_upto__rec__number__of,axiom, % 159.04/158.72 ! [V_n,V_m] : % 159.04/158.72 ( ( 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))) % 159.04/158.72 => 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))) ) % 159.04/158.72 & ( ~ 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))) % 159.04/158.72 => 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) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel__Nil,axiom, % 159.04/158.72 ! [V_r_2,T_a] : hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_set__Cons__sing__Nil,axiom, % 159.04/158.72 ! [V_A_2,T_a] : c_List_Oset__Cons(T_a,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_a,tc_List_Olist(T_a),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))),V_A_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_upto_Opsimps,axiom, % 159.04/158.72 ! [V_j_2,V_i_2] : % 159.04/158.72 ( 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))) % 159.04/158.72 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 159.04/158.72 => 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)) ) % 159.04/158.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 159.04/158.72 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_anamorph_Osimps,axiom, % 159.04/158.72 ! [V_x_2,V_f_2,T_a,T_b,V_k_2] : % 159.04/158.72 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 159.04/158.72 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),T_b),c_List_Olist_ONil(T_a)),V_x_2) ) % 159.04/158.72 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 159.04/158.72 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,V_f_2),V_k_2),V_x_2) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),T_b),c_List_Olist_ONil(T_a)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(tc_List_Olist(T_a),T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),T_a),c_COMBB(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),tc_fun(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b)),T_a),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),T_b,tc_prod(tc_List_Olist(T_a),T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),T_a),hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_List_Olist(T_a),T_b))),c_List_Olist_OCons(T_a))))),hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,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)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listset_Osimps_I1_J,axiom, % 159.04/158.72 ! [T_a] : c_List_Olistset(T_a,c_List_Olist_ONil(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_zip__Cons1,axiom, % 159.04/158.72 ! [V_ys_2,V_xs_2,V_x_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_a,T_b)),T_b,c_List_Olist_ONil(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),T_b),c_List_Olist_OCons(tc_prod(T_a,T_b))),hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2)))),hAPP(c_List_Ozip(T_a,T_b),V_xs_2))),V_ys_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list_Osimps_I5_J,axiom, % 159.04/158.72 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_List_Olist_Olist__case(T_a,T_b,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list_Osimps_I4_J,axiom, % 159.04/158.72 ! [V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_List_Olist_Olist__case(T_a,T_b,V_f1_2,V_f2_2),c_List_Olist_ONil(T_b)) = V_f1_2 ). % 159.04/158.72 % 159.04/158.72 fof(fact_listset_Osimps_I2_J,axiom, % 159.04/158.72 ! [V_As_2,V_A_2,T_a] : c_List_Olistset(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_a,V_A_2,c_List_Olistset(T_a,V_As_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_zip__Cons,axiom, % 159.04/158.72 ! [V_ys_2,V_y_2,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_a,T_b)),T_a,c_List_Olist_ONil(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b)))),T_a),c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),T_a),c_List_Olist_OCons(tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),c_List_Ozip(T_a,T_b)),V_ys_2))),V_xs_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_upto_Opinduct,axiom, % 159.04/158.72 ! [V_P_2,V_a1_2,V_a0_2] : % 159.04/158.72 ( 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))) % 159.04/158.72 => ( ! [B_i,B_j] : % 159.04/158.72 ( 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))) % 159.04/158.72 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j)) % 159.04/158.72 => 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)) ) % 159.04/158.72 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) % 159.04/158.72 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__upds__append1,axiom, % 159.04/158.72 ! [V_x_2,V_m_2,V_ys_2,T_b,V_xs_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))) % 159.04/158.72 => c_Map_Omap__upds(T_a,T_b,V_m_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))),V_ys_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append1__eq__conv,axiom, % 159.04/158.72 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a))) % 159.04/158.72 <=> ( V_xs_2 = V_ys_2 % 159.04/158.72 & V_x_2 = V_y_2 ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Cons__eq__append__conv,axiom, % 159.04/158.72 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_zs_2) % 159.04/158.72 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_a) % 159.04/158.72 & hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = V_zs_2 ) % 159.04/158.72 | ? [B_ys_H] : % 159.04/158.72 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_ys_H) = V_ys_2 % 159.04/158.72 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys_H),V_zs_2) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__eq__Cons__conv,axiom, % 159.04/158.72 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) % 159.04/158.72 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_a) % 159.04/158.72 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) % 159.04/158.72 | ? [B_ys_H] : % 159.04/158.72 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_ys_H) % 159.04/158.72 & hAPP(hAPP(c_List_Oappend(T_a),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_eq__Nil__appendI,axiom, % 159.04/158.72 ! [T_a,V_ys,V_xs] : % 159.04/158.72 ( V_xs = V_ys % 159.04/158.72 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__self__conv2,axiom, % 159.04/158.72 ! [V_ys_2,V_xs_2,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_ys_2 % 159.04/158.72 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__self__conv,axiom, % 159.04/158.72 ! [V_ys_2,V_xs_2,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_xs_2 % 159.04/158.72 <=> V_ys_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__is__Nil__conv,axiom, % 159.04/158.72 ! [V_ys_2,V_xs_2,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_a) % 159.04/158.72 <=> ( V_xs_2 = c_List_Olist_ONil(T_a) % 159.04/158.72 & V_ys_2 = c_List_Olist_ONil(T_a) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_self__append__conv2,axiom, % 159.04/158.72 ! [V_xs_2,T_a,V_ys_2] : % 159.04/158.72 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) % 159.04/158.72 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_self__append__conv,axiom, % 159.04/158.72 ! [V_ys_2,T_a,V_xs_2] : % 159.04/158.72 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) % 159.04/158.72 <=> V_ys_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__Nil2,axiom, % 159.04/158.72 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ). % 159.04/158.72 % 159.04/158.72 fof(fact_Nil__is__append__conv,axiom, % 159.04/158.72 ! [V_ys_2,V_xs_2,T_a] : % 159.04/158.72 ( c_List_Olist_ONil(T_a) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) % 159.04/158.72 <=> ( V_xs_2 = c_List_Olist_ONil(T_a) % 159.04/158.72 & V_ys_2 = c_List_Olist_ONil(T_a) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__Nil,axiom, % 159.04/158.72 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ). % 159.04/158.72 % 159.04/158.72 fof(fact_butlast__append,axiom, % 159.04/158.72 ! [V_xs,T_a,V_ys] : % 159.04/158.72 ( ( V_ys = c_List_Olist_ONil(T_a) % 159.04/158.72 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) ) % 159.04/158.72 & ( V_ys != c_List_Olist_ONil(T_a) % 159.04/158.72 => 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)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_set__append,axiom, % 159.04/158.72 ! [V_ys_2,V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_fun__upds__append2__drop,axiom, % 159.04/158.72 ! [V_zs_2,V_m_2,V_ys_2,T_b,V_xs_2,T_a] : % 159.04/158.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 159.04/158.72 => c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2)) = c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_fun__upds__append__drop,axiom, % 159.04/158.72 ! [V_zs_2,V_m_2,V_ys_2,T_b,V_xs_2,T_a] : % 159.04/158.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 159.04/158.72 => c_Map_Omap__upds(T_a,T_b,V_m_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_zs_2),V_ys_2) = c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_removeAll__append,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__assoc,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__eq__append__conv2,axiom, % 159.04/158.72 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),V_ts_2) % 159.04/158.72 <=> ? [B_us] : % 159.04/158.72 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),B_us) % 159.04/158.72 & hAPP(hAPP(c_List_Oappend(T_a),B_us),V_ys_2) = V_ts_2 ) % 159.04/158.72 | ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),B_us) = V_zs_2 % 159.04/158.72 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),V_ts_2) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_same__append__eq,axiom, % 159.04/158.72 ! [V_zs_2,V_ys_2,V_xs_2,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_zs_2) % 159.04/158.72 <=> V_ys_2 = V_zs_2 ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__same__eq,axiom, % 159.04/158.72 ! [V_zs_2,V_xs_2,V_ys_2,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),V_xs_2) % 159.04/158.72 <=> V_ys_2 = V_zs_2 ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__eq__appendI,axiom, % 159.04/158.72 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs % 159.04/158.72 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us) % 159.04/158.72 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_foldr__append,axiom, % 159.04/158.72 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,c_List_Ofoldr(T_b,T_a,V_f_2,V_ys_2,V_a_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_zip__append,axiom, % 159.04/158.72 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] : % 159.04/158.72 ( 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) % 159.04/158.72 => ( 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) % 159.04/158.72 => 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)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_length__append,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listsum__append,axiom, % 159.04/158.72 ! [V_ys,V_xs,T_a] : % 159.04/158.72 ( class_Groups_Omonoid__add(T_a) % 159.04/158.72 => 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)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__append,axiom, % 159.04/158.72 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__of__append,axiom, % 159.04/158.72 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),V_xs_2),V_ys_2)) = c_Map_Omap__add(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2),hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__in__lists__conv,axiom, % 159.04/158.72 ! [V_A_2,V_ys_2,V_xs_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)),c_List_Olists(T_a,V_A_2))) % 159.04/158.72 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2))) % 159.04/158.72 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_ys_2),c_List_Olists(T_a,V_A_2))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Cons__eq__appendI,axiom, % 159.04/158.72 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys % 159.04/158.72 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs) % 159.04/158.72 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__Cons,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_nth__append__length,axiom, % 159.04/158.72 ! [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 ). % 159.04/158.72 % 159.04/158.72 fof(fact_nth__append__length__plus,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_take__append,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list__update__append1,axiom, % 159.04/158.72 ! [V_x,V_ys,V_xs,T_a,V_i] : % 159.04/158.72 ( 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))) % 159.04/158.72 => 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) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list__update__length,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_remove1__append,axiom, % 159.04/158.72 ! [V_ys_2,V_xs_2,V_x_2,T_a] : % 159.04/158.72 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.72 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2)),V_ys_2) ) % 159.04/158.72 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.72 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_Oremove1(T_a,V_x_2,V_ys_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_in__set__butlast__appendI,axiom, % 159.04/158.72 ! [V_ys_2,V_xs_2,V_x_2,T_a] : % 159.04/158.72 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_xs_2)))) % 159.04/158.72 | hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_ys_2)))) ) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_butlast__snoc,axiom, % 159.04/158.72 ! [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 ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__listrel1I,axiom, % 159.04/158.72 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_a] : % 159.04/158.72 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) % 159.04/158.72 & V_us_2 = V_vs_2 ) % 159.04/158.72 | ( V_xs_2 = V_ys_2 % 159.04/158.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_us_2),V_vs_2)),c_List_Olistrel1(T_a,V_r_2))) ) ) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_vs_2))),c_List_Olistrel1(T_a,V_r_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lexord__append__leftI,axiom, % 159.04/158.72 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_u_2),V_v_2)),c_List_Olexord(T_a,V_r_2))) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_v_2))),c_List_Olexord(T_a,V_r_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_distinct__append,axiom, % 159.04/158.72 ! [V_ys_2,V_xs_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))) % 159.04/158.72 <=> ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.04/158.72 & hBOOL(hAPP(c_List_Odistinct(T_a),V_ys_2)) % 159.04/158.72 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_nth__append,axiom, % 159.04/158.72 ! [V_ys,V_xs,T_a,V_n] : % 159.04/158.72 ( ( 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))) % 159.04/158.72 => 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) ) % 159.04/158.72 & ( ~ 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))) % 159.04/158.72 => 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))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_list__update__append,axiom, % 159.04/158.72 ! [V_x,V_ys,V_xs,T_a,V_n] : % 159.04/158.72 ( ( 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))) % 159.04/158.72 => 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) ) % 159.04/158.72 & ( ~ 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))) % 159.04/158.72 => 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)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_sublist__append,axiom, % 159.04/158.72 ! [V_A_2,V_l_H_2,V_l_2,T_a] : c_List_Osublist(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Osublist(T_a,V_l_2,V_A_2)),c_List_Osublist(T_a,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_a)),V_l_2)))),V_A_2)))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel1I,axiom, % 159.04/158.72 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) % 159.04/158.72 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_vs_2)) % 159.04/158.72 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_vs_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lexord__append__left__rightI,axiom, % 159.04/158.72 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_a),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_b_2),V_y_2)))),c_List_Olexord(T_a,V_r_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_take__Suc__conv__app__nth,axiom, % 159.04/158.72 ! [V_xs,T_a,V_i] : % 159.04/158.72 ( 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))) % 159.04/158.72 => 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))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_snoc__listrel1__snoc__iff,axiom, % 159.04/158.72 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)))),hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a))))),c_List_Olistrel1(T_a,V_r_2))) % 159.04/158.72 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) % 159.04/158.72 & V_x_2 = V_y_2 ) % 159.04/158.72 | ( V_xs_2 = V_ys_2 % 159.04/158.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_sublist__Cons,axiom, % 159.04/158.72 ! [V_A_2,V_l_2,V_x_2,T_a] : c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_a)),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_a),V_x_2),c_List_Olist_ONil(T_a))),c_List_Olist_ONil(T_a))),c_List_Osublist(T_a,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)))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listrel1E,axiom, % 159.04/158.72 ! [V_r_2,V_ys_2,V_xs_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) % 159.04/158.72 => ~ ! [B_x,B_y] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2)) % 159.04/158.72 => ! [B_us,B_vs] : % 159.04/158.72 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_vs)) % 159.04/158.72 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),B_y),B_vs)) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lexord__append__leftD,axiom, % 159.04/158.72 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_v_2))),c_List_Olexord(T_a,V_r_2))) % 159.04/158.72 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_a),B_a)),V_r_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_u_2),V_v_2)),c_List_Olexord(T_a,V_r_2))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_rotate1__def,axiom, % 159.04/158.72 ! [V_xs_2,T_a] : hAPP(c_List_Orotate1(T_a),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Oappend(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a)))),V_xs_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_upd__conv__take__nth__drop,axiom, % 159.04/158.72 ! [V_a,V_xs,T_a,V_i] : % 159.04/158.72 ( 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))) % 159.04/158.72 => 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))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__take__drop__id,axiom, % 159.04/158.72 ! [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 ). % 159.04/158.72 % 159.04/158.72 fof(fact_rotate1__is__Nil__conv,axiom, % 159.04/158.72 ! [V_xs_2,T_a] : % 159.04/158.72 ( hAPP(c_List_Orotate1(T_a),V_xs_2) = c_List_Olist_ONil(T_a) % 159.04/158.72 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__Nil,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_set__drop__subset,axiom, % 159.04/158.72 ! [V_xs_2,V_n_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_set__rotate1,axiom, % 159.04/158.72 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orotate1(T_a),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__butlast,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_butlast__drop,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_distinct__drop,axiom, % 159.04/158.72 ! [V_i,V_xs,T_a] : % 159.04/158.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 159.04/158.72 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_distinct1__rotate,axiom, % 159.04/158.72 ! [V_xs_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orotate1(T_a),V_xs_2))) % 159.04/158.72 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__drop,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__0,axiom, % 159.04/158.72 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__zip,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_length__rotate1,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__map,axiom, % 159.04/158.72 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_take__drop,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_in__set__dropD,axiom, % 159.04/158.72 ! [V_xs_2,V_n_2,V_x_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2)))) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__take,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_length__drop,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__1__Cons,axiom, % 159.04/158.72 ! [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 ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__Suc__Cons,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_nth__via__drop,axiom, % 159.04/158.72 ! [V_ys,V_y,V_xs,V_n,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys) % 159.04/158.72 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_set__drop__subset__set__drop,axiom, % 159.04/158.72 ! [V_xs_2,T_a,V_m_2,V_n_2] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2)))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__all,axiom, % 159.04/158.72 ! [V_n,V_xs,T_a] : % 159.04/158.72 ( 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)) % 159.04/158.72 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__eq__Nil,axiom, % 159.04/158.72 ! [V_xs_2,V_n_2,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2) = c_List_Olist_ONil(T_a) % 159.04/158.72 <=> 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_2)),V_n_2)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__append,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__eq__conv__conj,axiom, % 159.04/158.72 ! [V_zs_2,V_ys_2,V_xs_2,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_zs_2 % 159.04/158.72 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),V_zs_2) % 159.04/158.72 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),V_zs_2) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__Cons,axiom, % 159.04/158.72 ! [V_xs_2,V_x_2,V_n_2,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Odrop(T_a)),V_xs_2),V_n_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__Cons_H,axiom, % 159.04/158.72 ! [V_xs,V_x,T_a,V_n] : % 159.04/158.72 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.72 => 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) ) % 159.04/158.72 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.72 => 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) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_nth__drop,axiom, % 159.04/158.72 ! [V_xs,T_a,V_i,V_n] : % 159.04/158.72 ( 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))) % 159.04/158.72 => 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)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__eq__append__conv__if,axiom, % 159.04/158.72 ! [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_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2) % 159.04/158.72 <=> ( ( 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_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2))) % 159.04/158.72 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2) % 159.04/158.72 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) ) % 159.04/158.72 & ( ~ 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_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2))) % 159.04/158.72 => ( hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2 % 159.04/158.72 & hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),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 ) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_nth__drop_H,axiom, % 159.04/158.72 ! [V_xs,T_a,V_i] : % 159.04/158.72 ( 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))) % 159.04/158.72 => 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) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_rotate__simps,axiom, % 159.04/158.72 ! [V_xs,V_x,T_b,T_a] : % 159.04/158.72 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) % 159.04/158.72 & 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))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__Cons__number__of,axiom, % 159.04/158.72 ! [V_xs,V_x,T_a,V_v] : % 159.04/158.72 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.72 => 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) ) % 159.04/158.72 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.72 => 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) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_take__add,axiom, % 159.04/158.72 ! [V_xs,T_a,V_j,V_i] : % 159.04/158.72 ( 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))) % 159.04/158.72 => 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))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_rotate1__length01,axiom, % 159.04/158.72 ! [V_xs,T_a] : % 159.04/158.72 ( 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))) % 159.04/158.72 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_zip__append2,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_zip__append1,axiom, % 159.04/158.72 ! [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))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_id__take__nth__drop,axiom, % 159.04/158.72 ! [V_xs,T_a,V_i] : % 159.04/158.72 ( 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))) % 159.04/158.72 => 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))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_take__hd__drop,axiom, % 159.04/158.72 ! [V_xs,T_a,V_n] : % 159.04/158.72 ( 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))) % 159.04/158.72 => 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) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_hd__drop__conv__nth,axiom, % 159.04/158.72 ! [V_n,T_a,V_xs] : % 159.04/158.72 ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.72 => ( 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))) % 159.04/158.72 => 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) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_hd_Osimps,axiom, % 159.04/158.72 ! [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 ). % 159.04/158.72 % 159.04/158.72 fof(fact_hd__map,axiom, % 159.04/158.72 ! [V_f_2,T_b,T_a,V_xs_2] : % 159.04/158.72 ( V_xs_2 != c_List_Olist_ONil(T_a) % 159.04/158.72 => hAPP(c_List_Ohd(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_a),V_xs_2)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_hd__append,axiom, % 159.04/158.72 ! [V_ys,T_a,V_xs] : % 159.04/158.72 ( ( V_xs = c_List_Olist_ONil(T_a) % 159.04/158.72 => 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) ) % 159.04/158.72 & ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.72 => 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) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_hd__append2,axiom, % 159.04/158.72 ! [V_ys,T_a,V_xs] : % 159.04/158.72 ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.72 => 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) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_hd__in__set,axiom, % 159.04/158.72 ! [T_a,V_xs_2] : % 159.04/158.72 ( V_xs_2 != c_List_Olist_ONil(T_a) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_List_Ohd(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_xs_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_hd__conv__nth,axiom, % 159.04/158.72 ! [T_a,V_xs] : % 159.04/158.72 ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.72 => 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)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_rotate1__hd__tl,axiom, % 159.04/158.72 ! [T_a,V_xs] : % 159.04/158.72 ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.72 => 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))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_hd__rotate__conv__nth,axiom, % 159.04/158.72 ! [V_n,T_a,V_xs] : % 159.04/158.72 ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.72 => 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))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_tl__drop,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__tl,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_rotate__is__Nil__conv,axiom, % 159.04/158.72 ! [V_xs_2,V_n_2,T_a] : % 159.04/158.72 ( hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2) = c_List_Olist_ONil(T_a) % 159.04/158.72 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_tl_Osimps_I1_J,axiom, % 159.04/158.72 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 159.04/158.72 % 159.04/158.72 fof(fact_set__rotate,axiom, % 159.04/158.72 ! [V_xs_2,V_n_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_distinct__tl,axiom, % 159.04/158.72 ! [V_xs,T_a] : % 159.04/158.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 159.04/158.72 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_distinct__rotate,axiom, % 159.04/158.72 ! [V_xs_2,V_n_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2))) % 159.04/158.72 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_rotate__rotate,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_length__rotate,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_rotate__map,axiom, % 159.04/158.72 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(c_List_Orotate(T_a,V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__tl,axiom, % 159.04/158.72 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Otl(T_b),V_xs_2)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_tl_Osimps_I2_J,axiom, % 159.04/158.72 ! [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 ). % 159.04/158.72 % 159.04/158.72 fof(fact_rotate1__rotate__swap,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_tl__append2,axiom, % 159.04/158.72 ! [V_ys,T_a,V_xs] : % 159.04/158.72 ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.72 => 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) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_take__tl,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_rotate__conv__mod,axiom, % 159.04/158.72 ! [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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_drop__Suc,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_rotate__Suc,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_tl__append,axiom, % 159.04/158.72 ! [V_ys_2,V_xs_2,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,hAPP(c_List_Otl(T_a),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Oappend(T_a)),V_ys_2))),V_xs_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_rotate0,axiom, % 159.04/158.72 ! [T_a] : c_List_Orotate(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_a)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_rotate__add,axiom, % 159.04/158.72 ! [V_n_2,V_m_2,T_a] : c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Orotate(T_a,V_m_2)),c_List_Orotate(T_a,V_n_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_rotate__id,axiom, % 159.04/158.72 ! [V_xs,T_a,V_n] : % 159.04/158.72 ( 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) % 159.04/158.72 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_rotate__length01,axiom, % 159.04/158.72 ! [V_n,V_xs,T_a] : % 159.04/158.72 ( 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))) % 159.04/158.72 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_length__tl,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_tl__take,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_take__Suc,axiom, % 159.04/158.72 ! [V_n,T_a,V_xs] : % 159.04/158.72 ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.72 => 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))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_rotate__drop__take,axiom, % 159.04/158.72 ! [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)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_fold1__set,axiom, % 159.04/158.72 ! [V_xs_2,T_a] : % 159.04/158.72 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 159.04/158.72 => ( V_xs_2 != c_List_Olist_ONil(T_a) % 159.04/158.72 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),hAPP(c_List_Ohd(T_a),V_xs_2)),hAPP(c_List_Otl(T_a),V_xs_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lexord__append__rightI,axiom, % 159.04/158.72 ! [V_r_2,V_x_2,T_a,V_y_2] : % 159.04/158.72 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_b),B_z) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_y_2))),c_List_Olexord(T_a,V_r_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_foldl__Cons,axiom, % 159.04/158.72 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_foldl__absorb0,axiom, % 159.04/158.72 ! [V_zs_2,V_x_2,T_a] : % 159.04/158.72 ( class_Groups_Omonoid__add(T_a) % 159.04/158.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_zs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_zs_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_foldl__map,axiom, % 159.04/158.72 ! [V_xs_2,V_f_2,T_c,V_a_2,V_g_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,T_a)),T_a),c_COMBB(T_b,T_a,T_c)),V_g_2)),V_f_2),V_a_2),V_xs_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_foldl__assoc,axiom, % 159.04/158.72 ! [V_zs_2,V_y_2,V_x_2,T_a] : % 159.04/158.72 ( class_Groups_Osemigroup__add(T_a) % 159.04/158.72 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_y_2),V_zs_2)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_start__le__sum,axiom, % 159.04/158.72 ! [V_ns_2,V_n_2,V_m_2] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 159.04/158.72 => 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))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_foldl__Nil,axiom, % 159.04/158.72 ! [V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),c_List_Olist_ONil(T_b)) = V_a_2 ). % 159.04/158.72 % 159.04/158.72 fof(fact_foldl__append,axiom, % 159.04/158.72 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),V_xs_2)),V_ys_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_foldr__conv__foldl,axiom, % 159.04/158.72 ! [V_a_2,V_xs_2,T_a] : % 159.04/158.72 ( class_Groups_Oab__semigroup__add(T_a) % 159.04/158.72 => c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_xs_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_listsum__foldl,axiom, % 159.04/158.72 ! [T_a] : % 159.04/158.72 ( class_Groups_Omonoid__add(T_a) % 159.04/158.72 => c_List_Omonoid__add__class_Olistsum(T_a) = c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_foldl__foldr1__lemma,axiom, % 159.04/158.72 ! [V_xs_2,V_a_2,T_a] : % 159.04/158.72 ( class_Groups_Omonoid__add(T_a) % 159.04/158.72 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,c_Groups_Ozero__class_Ozero(T_a))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_foldl__foldr1,axiom, % 159.04/158.72 ! [V_xs_2,T_a] : % 159.04/158.72 ( class_Groups_Omonoid__add(T_a) % 159.04/158.72 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_xs_2) = c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_sum__eq__0__conv,axiom, % 159.04/158.72 ! [V_ns_2,V_m_2] : % 159.04/158.72 ( 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) % 159.04/158.72 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.72 & ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 159.04/158.72 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Sup__fin__set__fold,axiom, % 159.04/158.72 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.72 ( class_Lattices_Olattice(T_a) % 159.04/158.72 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_xs_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Inf__fin__set__fold,axiom, % 159.04/158.72 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.72 ( class_Lattices_Olattice(T_a) % 159.04/158.72 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_xs_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Min__fin__set__fold,axiom, % 159.04/158.72 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.72 ( class_Orderings_Olinorder(T_a) % 159.04/158.72 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omin(T_a),V_x_2),V_xs_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Max__fin__set__fold,axiom, % 159.04/158.72 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.72 ( class_Orderings_Olinorder(T_a) % 159.04/158.72 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_x_2),V_xs_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_min__max_OInf__fin__set__fold,axiom, % 159.04/158.72 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.72 ( class_Orderings_Olinorder(T_a) % 159.04/158.72 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omin(T_a),V_x_2),V_xs_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_min__max_OSup__fin__set__fold,axiom, % 159.04/158.72 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.72 ( class_Orderings_Olinorder(T_a) % 159.04/158.72 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_x_2),V_xs_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_SUPR__set__fold,axiom, % 159.04/158.72 ! [V_f_2,V_xs_2,T_b,T_a] : % 159.04/158.72 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),hAPP(c_List_Oset(T_b),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_f_2)),c_Orderings_Obot__class_Obot(T_a)),V_xs_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_map__upds__fold__map__upd,axiom, % 159.04/158.72 ! [V_vs_2,V_ks_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,V_ks_2,V_vs_2) = hAPP(c_List_Ofoldl(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_prod(T_a,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(tc_prod(T_a,T_b),tc_fun(T_a,tc_Option_Ooption(T_b))),tc_fun(T_a,tc_Option_Ooption(T_b))),c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_a,tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),tc_fun(T_a,tc_Option_Ooption(T_b))),c_COMBC(T_a,tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(T_a,tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),tc_fun(T_a,tc_Option_Ooption(T_b))),hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b))),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b)))),T_a),c_COMBB(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)),T_b))),c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b))))),c_Option_Ooption_OSome(T_b))),V_m_2),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ks_2),V_vs_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_elem__le__sum,axiom, % 159.04/158.72 ! [V_ns_2,V_n_2] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 159.04/158.72 => 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))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lexord__Nil__left,axiom, % 159.04/158.72 ! [V_r_2,V_y_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_y_2)),c_List_Olexord(T_a,V_r_2))) % 159.04/158.72 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_a),B_x) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_last__list__update,axiom, % 159.04/158.72 ! [V_x,V_k,T_a,V_xs] : % 159.04/158.72 ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.72 => ( ( 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)) % 159.04/158.72 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x ) % 159.04/158.72 & ( 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)) % 159.04/158.72 => 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) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_last_Osimps,axiom, % 159.04/158.72 ! [V_x,T_a,V_xs] : % 159.04/158.72 ( ( V_xs = c_List_Olist_ONil(T_a) % 159.04/158.72 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) % 159.04/158.72 & ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.72 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_last__ConsR,axiom, % 159.04/158.72 ! [V_x,T_a,V_xs] : % 159.04/158.72 ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.72 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_last__ConsL,axiom, % 159.04/158.72 ! [V_x,T_a,V_xs] : % 159.04/158.72 ( V_xs = c_List_Olist_ONil(T_a) % 159.04/158.72 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_last__map,axiom, % 159.04/158.72 ! [V_f_2,T_b,T_a,V_xs_2] : % 159.04/158.72 ( V_xs_2 != c_List_Olist_ONil(T_a) % 159.04/158.72 => c_List_Olast(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_a,V_xs_2)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_last__appendL,axiom, % 159.04/158.72 ! [V_xs,T_a,V_ys] : % 159.04/158.72 ( V_ys = c_List_Olist_ONil(T_a) % 159.04/158.72 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_last__appendR,axiom, % 159.04/158.72 ! [V_xs,T_a,V_ys] : % 159.04/158.72 ( V_ys != c_List_Olist_ONil(T_a) % 159.04/158.72 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_last__append,axiom, % 159.04/158.72 ! [V_xs,T_a,V_ys] : % 159.04/158.72 ( ( V_ys = c_List_Olist_ONil(T_a) % 159.04/158.72 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) % 159.04/158.72 & ( V_ys != c_List_Olist_ONil(T_a) % 159.04/158.72 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_last__in__set,axiom, % 159.04/158.72 ! [T_a,V_as_2] : % 159.04/158.72 ( V_as_2 != c_List_Olist_ONil(T_a) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(T_a),c_List_Olast(T_a,V_as_2)),hAPP(c_List_Oset(T_a),V_as_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_last__snoc,axiom, % 159.04/158.72 ! [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 ). % 159.04/158.72 % 159.04/158.72 fof(fact_last__drop,axiom, % 159.04/158.72 ! [V_xs,T_a,V_n] : % 159.04/158.72 ( 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))) % 159.04/158.72 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_snoc__eq__iff__butlast,axiom, % 159.04/158.72 ! [V_ys_2,V_x_2,V_xs_2,T_a] : % 159.04/158.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))) = V_ys_2 % 159.04/158.72 <=> ( V_ys_2 != c_List_Olist_ONil(T_a) % 159.04/158.72 & c_List_Obutlast(T_a,V_ys_2) = V_xs_2 % 159.04/158.72 & c_List_Olast(T_a,V_ys_2) = V_x_2 ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_append__butlast__last__id,axiom, % 159.04/158.72 ! [T_a,V_xs] : % 159.04/158.72 ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.72 => 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 ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_last__conv__nth,axiom, % 159.04/158.72 ! [T_a,V_xs] : % 159.04/158.72 ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.72 => 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))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_lists_Osimps,axiom, % 159.04/158.72 ! [V_A_2,V_a_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_a_2),c_List_Olists(T_a,V_A_2))) % 159.04/158.72 <=> ( V_a_2 = c_List_Olist_ONil(T_a) % 159.04/158.72 | ? [B_a,B_l] : % 159.04/158.72 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_a),B_l) % 159.04/158.72 & hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2)) % 159.04/158.72 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_l),c_List_Olists(T_a,V_A_2))) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INFI__set__fold,axiom, % 159.04/158.72 ! [V_f_2,V_xs_2,T_b,T_a] : % 159.04/158.72 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),hAPP(c_List_Oset(T_b),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_f_2)),c_Orderings_Otop__class_Otop(T_a)),V_xs_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INF1__E,axiom, % 159.04/158.72 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_b,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 159.04/158.72 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 159.04/158.72 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INF1__D,axiom, % 159.04/158.72 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_b,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__E,axiom, % 159.04/158.72 ! [V_a_2,V_B_2,V_A_2,T_b,V_b_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 159.04/158.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,V_a_2))) % 159.04/158.72 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__D,axiom, % 159.04/158.72 ! [V_a_2,V_B_2,V_A_2,T_b,V_b_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INF2__E,axiom, % 159.04/158.72 ! [V_a_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) % 159.04/158.72 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2)) % 159.04/158.72 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INF2__D,axiom, % 159.04/158.72 ! [V_a_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_finite__INT,axiom, % 159.04/158.72 ! [V_A_2,T_b,V_I_2,T_a] : % 159.04/158.72 ( ? [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_I_2)) % 159.04/158.72 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_A_2,B_x))) ) % 159.04/158.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__simps_I10_J,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),V_B_2),V_f_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__extend__simps_I10_J,axiom, % 159.04/158.72 ! [V_f_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INF__INT__eq2,axiom, % 159.04/158.72 ! [V_y_2,V_x_2,V_r_2,T_c,T_b,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_a),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)) % 159.04/158.72 <=> 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_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__extend__simps_I9_J,axiom, % 159.04/158.72 ! [V_C_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,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) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__simps_I9_J,axiom, % 159.04/158.72 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,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)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_vimage__INT,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_c,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Ovimage(T_a,T_b,V_f_2)),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_UN__simps_I7_J,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_UN__extend__simps_I7_J,axiom, % 159.04/158.72 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Compl__UN,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Compl__INT,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Collect__ball__eq,axiom, % 159.04/158.72 ! [V_P_2,V_A_2,T_b,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),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)))),V_P_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_P_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INFI__bool__eq,axiom, % 159.04/158.72 ! [T_a] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_HOL_Obool) = c_Set_OBall(T_a) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__extend__simps_I2_J,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 159.04/158.72 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 => 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_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 159.04/158.72 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 => 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_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__extend__simps_I1_J,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 159.04/158.72 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 => 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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 ) % 159.04/158.72 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 => 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_a,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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INF__const,axiom, % 159.04/158.72 ! [V_M_2,T_a,V_A_2,T_b] : % 159.04/158.72 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 159.04/158.72 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),hAPP(c_COMBK(T_b,T_a),V_M_2)) = V_M_2 ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__constant,axiom, % 159.04/158.72 ! [V_ca_2,T_b,T_a,V_A_2] : % 159.04/158.72 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) % 159.04/158.72 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = V_ca_2 ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__empty,axiom, % 159.04/158.72 ! [V_B_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__Un,axiom, % 159.04/158.72 ! [V_M_2,V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,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_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_M_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INF__INT__eq,axiom, % 159.04/158.72 ! [V_x_2,V_r_2,T_b,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b))),V_r_2)),V_x_2)) % 159.04/158.72 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__absorb,axiom, % 159.04/158.72 ! [V_A_2,T_b,V_I_2,V_k_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_k_2),V_I_2)) % 159.04/158.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__iff,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_b,V_b_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) % 159.04/158.72 <=> ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__insert__distrib,axiom, % 159.04/158.72 ! [V_B_2,V_a_2,T_b,V_A_2,V_u_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_u_2),V_A_2)) % 159.04/158.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),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_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__insert,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,V_a_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__simps_I5_J,axiom, % 159.04/158.72 ! [V_B_2,V_a_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_a),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__extend__simps_I5_J,axiom, % 159.04/158.72 ! [V_B_2,V_C_2,T_b,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_a),V_a_2)),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__Int__distrib,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,V_I_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INTER__UNIV__conv_I1_J,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_b,T_a] : % 159.04/158.72 ( c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) % 159.04/158.72 <=> ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 159.04/158.72 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INTER__UNIV__conv_I2_J,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_a,T_b] : % 159.04/158.72 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 <=> ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 159.04/158.72 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INF__commute,axiom, % 159.04/158.72 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_a] : % 159.04/158.72 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),T_a,T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_a),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_a),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),T_a,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INFI__apply,axiom, % 159.04/158.72 ! [V_x_2,V_f_2,V_A_2,T_c,T_b,T_a] : % 159.04/158.72 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.72 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,T_a)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_f_2),V_x_2)) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Pow__INT__eq,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_b),c_Set_OPow(T_a)),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Un__INT__distrib2,axiom, % 159.04/158.72 ! [V_B_2,V_J_2,T_c,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2))),V_B_2))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__extend__simps_I6_J,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,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_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Un__INT__distrib,axiom, % 159.04/158.72 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),V_A_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__extend__simps_I7_J,axiom, % 159.04/158.72 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__simps_I6_J,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__simps_I7_J,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INF__less__iff,axiom, % 159.04/158.72 ! [V_a_2,V_f_2,V_A_2,T_b,T_a] : % 159.04/158.72 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.72 & class_Orderings_Olinorder(T_a) ) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),V_f_2)),V_a_2)) % 159.04/158.72 <=> ? [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 159.04/158.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_Image__INT__subset,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_c,V_r_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_r_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))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_le__INF__iff,axiom, % 159.04/158.72 ! [V_M_2,V_A_2,T_b,V_u_2,T_a] : % 159.04/158.72 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),V_M_2))) % 159.04/158.72 <=> ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__subset__iff,axiom, % 159.04/158.72 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2))) % 159.04/158.72 <=> ! [B_x] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__lower,axiom, % 159.04/158.72 ! [V_B_2,T_b,V_A_2,V_a_2,T_a] : % 159.04/158.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INF__subset,axiom, % 159.04/158.72 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] : % 159.04/158.72 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 159.04/158.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 159.04/158.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2))) ) ) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INTER__def,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),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(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_member(T_a))),V_B_2)))) ). % 159.04/158.72 % 159.04/158.72 fof(fact_INT__simps_I2_J,axiom, % 159.04/158.72 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 159.04/158.72 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)) ) % 159.04/158.72 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),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_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_INT__simps_I1_J,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 159.04/158.73 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),c_Lattices_Osemilattice__inf__class_Oinf(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)) ) % 159.04/158.73 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Collect__all__eq,axiom, % 159.04/158.73 ! [V_P_2,T_b,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),V_P_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_P_2))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_INT__extend__simps_I3_J,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 159.04/158.73 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_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_B_2) ) % 159.04/158.73 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_INT__simps_I3_J,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 159.04/158.73 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),c_Groups_Ominus__class_Ominus(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)) ) % 159.04/158.73 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),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_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_INT__extend__simps_I4_J,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 159.04/158.73 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 => 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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 159.04/158.73 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 => 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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_INF__leI,axiom, % 159.04/158.73 ! [V_M_2,V_A_2,V_i_2,T_a,T_b] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_A_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_INT__greaterThan__UNIV,axiom, % 159.04/158.73 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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_INT__simps_I4_J,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] : % 159.04/158.73 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),hAPP(c_Groups_Ominus__class_Ominus(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)) ) % 159.04/158.73 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transpose__aux__max,axiom, % 159.04/158.73 ! [V_xss_2,T_b,V_xs_2,T_a] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),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_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_a)),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)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),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_b)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),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),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_lists__IntI,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,V_l_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_l_2),c_List_Olists(T_a,V_A_2))) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_l_2),c_List_Olists(T_a,V_B_2))) % 159.04/158.73 => hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_l_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_listsp_ONil,axiom, % 159.04/158.73 ! [V_A_2,T_a] : hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),c_List_Olist_ONil(T_a))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_INF2__iff,axiom, % 159.04/158.73 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) % 159.04/158.73 <=> ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_INF1__iff,axiom, % 159.04/158.73 ! [V_b_2,V_B_2,V_A_2,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 159.04/158.73 <=> ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sum__length__filter__compl,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_filter__append,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)),hAPP(c_List_Ofilter(T_a,V_P_2),V_ys_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_append__in__listsp__conv,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,V_A_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))) % 159.04/158.73 <=> ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_xs_2)) % 159.04/158.73 & hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_ys_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_filter__map,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2)),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_listsp_Oequations_I1_J,axiom, % 159.04/158.73 ! [V_A_2,T_a] : hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),c_List_Olist_ONil(T_a))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_filter_Osimps_I1_J,axiom, % 159.04/158.73 ! [V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 159.04/158.73 % 159.04/158.73 fof(fact_filter__empty__conv,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : % 159.04/158.73 ( hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) = c_List_Olist_ONil(T_a) % 159.04/158.73 <=> ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_partition__filter1,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Opartition(T_a,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__filter__le,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,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)),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_filter__is__subset,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_filter__id__conv,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : % 159.04/158.73 ( hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) = V_xs_2 % 159.04/158.73 <=> ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_in__listsp__conv__set,axiom, % 159.04/158.73 ! [V_xs_2,V_A_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_xs_2)) % 159.04/158.73 <=> ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_distinct__filter,axiom, % 159.04/158.73 ! [V_P_2,V_xs_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.04/158.73 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_filter__insort__triv,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_a,V_x_2,V_P_2,T_b] : % 159.04/158.73 ( class_Orderings_Olinorder(T_b) % 159.04/158.73 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.73 => hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_removeAll__filter__not,axiom, % 159.04/158.73 ! [V_xs_2,T_a,V_x_2,V_P_2] : % 159.04/158.73 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.73 => hAPP(c_List_OremoveAll(T_a,V_x_2),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_removeAll__filter__not__eq,axiom, % 159.04/158.73 ! [V_x_2,T_a] : c_List_OremoveAll(T_a,V_x_2) = c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(c_fequal,V_x_2))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_remove1__filter__not,axiom, % 159.04/158.73 ! [V_xs_2,T_a,V_x_2,V_P_2] : % 159.04/158.73 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.73 => c_List_Oremove1(T_a,V_x_2,hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_filter__remove1,axiom, % 159.04/158.73 ! [V_xs_2,V_x_2,V_Q_2,T_a] : hAPP(c_List_Ofilter(T_a,V_Q_2),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = c_List_Oremove1(T_a,V_x_2,hAPP(c_List_Ofilter(T_a,V_Q_2),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_filter__filter,axiom, % 159.04/158.73 ! [V_xs_2,V_Q_2,V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(c_List_Ofilter(T_a,V_Q_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_Q_2)),V_P_2)),V_xs_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_listsp__conj__eq,axiom, % 159.04/158.73 ! [V_x_2,V_B_2,V_A_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_A_2)),V_B_2)),V_x_2)) % 159.04/158.73 <=> ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_x_2)) % 159.04/158.73 & hBOOL(hAPP(c_List_Olistsp(T_a,V_B_2),V_x_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_listsp__infI,axiom, % 159.04/158.73 ! [V_B_2,V_l_2,V_A_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_l_2)) % 159.04/158.73 => ( hBOOL(hAPP(c_List_Olistsp(T_a,V_B_2),V_l_2)) % 159.04/158.73 => hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_listsp__inf__eq,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a] : c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olistsp(T_a,V_A_2)),c_List_Olistsp(T_a,V_B_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_listsp_Oequations_I2_J,axiom, % 159.04/158.73 ! [V_a2_2,V_a1_2,V_A_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a1_2),V_a2_2))) % 159.04/158.73 <=> ( hBOOL(hAPP(V_A_2,V_a1_2)) % 159.04/158.73 & hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_a2_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_filter_Osimps_I2_J,axiom, % 159.04/158.73 ! [V_xs_2,T_a,V_x_2,V_P_2] : % 159.04/158.73 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.73 => hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) ) % 159.04/158.73 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.73 => hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_partition__filter2,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Opartition(T_a,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_a,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_a,c_fNot),V_P_2)),V_xs_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_set__filter,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)))),V_P_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__filter__map,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2)),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__filter__less,axiom, % 159.04/158.73 ! [V_P_2,V_xs_2,V_x_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_partition__filter__conv,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_a] : c_List_Opartition(T_a,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_a,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_a,c_fNot),V_f_2)),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_listsp__mono,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olistsp(T_a,V_A_2)),c_List_Olistsp(T_a,V_B_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_set__minus__filter__out,axiom, % 159.04/158.73 ! [V_y_2,V_xs_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_filter__in__sublist,axiom, % 159.04/158.73 ! [V_s_2,V_xs_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.04/158.73 => hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_a,V_xs_2,V_s_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_listsp__lists__eq,axiom, % 159.04/158.73 ! [V_x_2,V_A_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),V_x_2)) % 159.04/158.73 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_x_2),c_List_Olists(T_a,V_A_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__filter__conv__card,axiom, % 159.04/158.73 ! [V_xs_2,V_p_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,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_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_a),V_xs_2))))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_lists__Int__eq,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a] : c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),c_List_Olists(T_a,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),c_List_Olists(T_a,V_B_2))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_map__filter__def,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_a,T_b] : c_List_Omap__filter(T_b,T_a,V_f_2,V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_a),T_a,T_b,c_Option_Othe(T_a)),V_f_2)),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,tc_Option_Ooption(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool),T_b),c_fequal),V_f_2)),c_Option_Ooption_ONone(T_a)))),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transpose__max__length,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : c_List_Ofoldr(tc_List_Olist(T_a),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_a)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_map__filter__simps_I2_J,axiom, % 159.04/158.73 ! [V_f_2,T_a,T_b] : c_List_Omap__filter(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transpose_Osimps_I2_J,axiom, % 159.04/158.73 ! [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) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transpose__map__map,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),c_List_Otranspose(T_b,V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transpose__empty,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : % 159.04/158.73 ( c_List_Otranspose(T_a,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_a)) % 159.04/158.73 <=> ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2))) % 159.04/158.73 => B_x = c_List_Olist_ONil(T_a) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transpose_Osimps_I1_J,axiom, % 159.04/158.73 ! [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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_map__of__filter__in,axiom, % 159.04/158.73 ! [V_P_2,V_z_2,V_k_2,V_xs_2,T_a,T_b] : % 159.04/158.73 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xs_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_z_2) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(V_P_2,V_k_2),V_z_2)) % 159.04/158.73 => hAPP(hAPP(c_Map_Omap__of(T_b,T_a),hAPP(c_List_Ofilter(tc_prod(T_b,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_HOL_Obool),V_P_2)),V_xs_2)),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_z_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_map__filter__simps_I1_J,axiom, % 159.04/158.73 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Omap__filter(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(T_a),T_a,c_List_Omap__filter(T_b,T_a,V_f_2,V_xs_2),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Omap__filter(T_b,T_a,V_f_2,V_xs_2))),hAPP(V_f_2,V_x_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sublist__shift__lemma__Suc,axiom, % 159.04/158.73 ! [V_is_2,V_xs_2,V_P_2,T_a] : hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_a,tc_Nat_Onat)),V_P_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_a,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_a,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_a,tc_Nat_Onat)),V_P_2),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_nth__transpose,axiom, % 159.04/158.73 ! [V_xs_2,T_a,V_i_2] : % 159.04/158.73 ( 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_a))),c_List_Otranspose(T_a,V_xs_2)))) % 159.04/158.73 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),c_List_Otranspose(T_a,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,T_a),c_List_Onth(T_a)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_xs_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__transpose,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_a),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_a)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_map__filter__map__filter,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = c_List_Omap__filter(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,tc_Option_Ooption(T_a),tc_Option_Ooption(T_a)),hAPP(hAPP(c_COMBS(T_b,tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_Option_Ooption(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_Option_Ooption(T_a))),T_b),c_If(tc_Option_Ooption(T_a))),V_P_2)),hAPP(hAPP(c_COMBB(T_a,tc_Option_Ooption(T_a),T_b),c_Option_Ooption_OSome(T_a)),V_f_2))),c_Option_Ooption_ONone(T_a)),V_xs_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_insort__key__remove1,axiom, % 159.04/158.73 ! [V_f_2,V_xs_2,V_a_2,T_a,T_b] : % 159.04/158.73 ( class_Orderings_Olinorder(T_b) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) % 159.04/158.73 => ( hAPP(c_List_Ohd(T_a),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_a),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2 % 159.04/158.73 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),c_List_Oremove1(T_a,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sublist__def,axiom, % 159.04/158.73 ! [V_A_2,V_xs_2,T_a] : c_List_Osublist(T_a,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,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_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,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_a)),V_xs_2))))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted_ONil,axiom, % 159.04/158.73 ! [T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__single,axiom, % 159.04/158.73 ! [V_x,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__same,axiom, % 159.04/158.73 ! [V_xs_2,V_g_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__filter,axiom, % 159.04/158.73 ! [V_P_2,V_xs_2,V_f_2,T_b,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__drop,axiom, % 159.04/158.73 ! [V_n,V_xs,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_drop__upt,axiom, % 159.04/158.73 ! [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) ). % 159.04/158.73 % 159.04/158.73 fof(fact_hd__upt,axiom, % 159.04/158.73 ! [V_j,V_i] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 159.04/158.73 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__butlast,axiom, % 159.04/158.73 ! [V_xs,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__insort__key,axiom, % 159.04/158.73 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2))) % 159.04/158.73 <=> c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__map__remove1,axiom, % 159.04/158.73 ! [V_x_2,V_xs_2,V_f_2,T_b,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_upt__Suc,axiom, % 159.04/158.73 ! [V_j,V_i] : % 159.04/158.73 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 159.04/158.73 => 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))) ) % 159.04/158.73 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 159.04/158.73 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_upt__Suc__append,axiom, % 159.04/158.73 ! [V_j,V_i] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 159.04/158.73 => 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))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_upt__add__eq__append,axiom, % 159.04/158.73 ! [V_k,V_j,V_i] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 159.04/158.73 => 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))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_upt__0,axiom, % 159.04/158.73 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted_Oequations_I1_J,axiom, % 159.04/158.73 ! [T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_upt__eq__Nil__conv,axiom, % 159.04/158.73 ! [V_j_2,V_i_2] : % 159.04/158.73 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat) % 159.04/158.73 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.73 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_upt__conv__Nil,axiom, % 159.04/158.73 ! [V_i,V_j] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 159.04/158.73 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_take__upt,axiom, % 159.04/158.73 ! [V_n,V_m,V_i] : % 159.04/158.73 ( 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)) % 159.04/158.73 => 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)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__take,axiom, % 159.04/158.73 ! [V_n,V_xs,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_distinct__upt,axiom, % 159.04/158.73 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__insort,axiom, % 159.04/158.73 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2)) % 159.04/158.73 <=> c_List_Olinorder__class_Osorted(T_a,V_xs_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__remove1,axiom, % 159.04/158.73 ! [V_a,V_xs,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__upto,axiom, % 159.04/158.73 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__upt,axiom, % 159.04/158.73 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__list__of__set__range,axiom, % 159.04/158.73 ! [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) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__insort__insert,axiom, % 159.04/158.73 ! [V_x_2,V_xs_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_map__Suc__upt,axiom, % 159.04/158.73 ! [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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__distinct__set__unique,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 159.04/158.73 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,V_ys_2) % 159.04/158.73 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys_2)) % 159.04/158.73 => ( hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_List_Oset(T_a),V_ys_2) % 159.04/158.73 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__many,axiom, % 159.04/158.73 ! [V_zs,V_y,V_x,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs)) % 159.04/158.73 => 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))) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__many__eq,axiom, % 159.04/158.73 ! [V_zs_2,V_y_2,V_x_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_zs_2))) % 159.04/158.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) % 159.04/158.73 & c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_zs_2)) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_upt__conv__Cons,axiom, % 159.04/158.73 ! [V_j,V_i] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 159.04/158.73 => 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)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_upt__rec,axiom, % 159.04/158.73 ! [V_j,V_i] : % 159.04/158.73 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 159.04/158.73 => 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)) ) % 159.04/158.73 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 159.04/158.73 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__tl,axiom, % 159.04/158.73 ! [V_xs,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__insort__insert__key,axiom, % 159.04/158.73 ! [V_x_2,V_xs_2,V_f_2,T_b,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_atLeastLessThan__upt,axiom, % 159.04/158.73 ! [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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_set__upt,axiom, % 159.04/158.73 ! [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) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__map__same,axiom, % 159.04/158.73 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__upt,axiom, % 159.04/158.73 ! [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) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__Cons,axiom, % 159.04/158.73 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) % 159.04/158.73 <=> ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 159.04/158.73 & ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__append,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) % 159.04/158.73 <=> ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 159.04/158.73 & c_List_Olinorder__class_Osorted(T_a,V_ys_2) % 159.04/158.73 & ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => ! [B_xa] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(c_List_Oset(T_a),V_ys_2))) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),B_xa)) ) ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_upt__rec__number__of,axiom, % 159.04/158.73 ! [V_n,V_m] : % 159.04/158.73 ( ( 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))) % 159.04/158.73 => 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))) ) % 159.04/158.73 & ( ~ 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))) % 159.04/158.73 => 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) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_upt__eq__Cons__conv,axiom, % 159.04/158.73 ! [V_xs_2,V_x_2,V_j_2,V_i_2] : % 159.04/158.73 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2) % 159.04/158.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2)) % 159.04/158.73 & V_i_2 = V_x_2 % 159.04/158.73 & 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 ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_last__upt,axiom, % 159.04/158.73 ! [V_j,V_i] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 159.04/158.73 => 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)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_filter__insort,axiom, % 159.04/158.73 ! [V_x_2,V_P_2,V_xs_2,V_f_2,T_b,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) % 159.04/158.73 => ( hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.73 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_map__nth,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),hAPP(c_List_Onth(T_a),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) = V_xs_2 ). % 159.04/158.73 % 159.04/158.73 fof(fact_atLeastAtMost__upt,axiom, % 159.04/158.73 ! [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))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_atLeast__upt,axiom, % 159.04/158.73 ! [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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_interv__listsum__conv__setsum__set__nat,axiom, % 159.04/158.73 ! [V_n_2,V_m_2,V_f_2,T_a] : % 159.04/158.73 ( class_Groups_Ocomm__monoid__add(T_a) % 159.04/158.73 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),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_a),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_setsum__set__upt__conv__listsum__nat,axiom, % 159.04/158.73 ! [V_n_2,V_m_2,V_f_2,T_a] : % 159.04/158.73 ( class_Groups_Ocomm__monoid__add(T_a) % 159.04/158.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_nth__upt,axiom, % 159.04/158.73 ! [V_j,V_k,V_i] : % 159.04/158.73 ( 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)) % 159.04/158.73 => 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) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_greaterThanAtMost__upt,axiom, % 159.04/158.73 ! [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))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted_Oequations_I2_J,axiom, % 159.04/158.73 ! [V_a1_2,V_a2_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a2_2),V_a1_2)) % 159.04/158.73 <=> ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_a1_2))) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a2_2),B_x)) ) % 159.04/158.73 & c_List_Olinorder__class_Osorted(T_a,V_a1_2) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_greaterThanLessThan__upt,axiom, % 159.04/158.73 ! [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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_nth__map__upt,axiom, % 159.04/158.73 ! [V_f_2,T_a,V_m_2,V_n_2,V_i_2] : % 159.04/158.73 ( 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))) % 159.04/158.73 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),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)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__list__of__set,axiom, % 159.04/158.73 ! [V_A_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.73 => ( hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2)) = V_A_2 % 159.04/158.73 & c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2)) % 159.04/158.73 & hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2))) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_atMost__upto,axiom, % 159.04/158.73 ! [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))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_insort__remove1,axiom, % 159.04/158.73 ! [V_xs_2,V_a_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 159.04/158.73 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_a_2),c_List_Oremove1(T_a,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__nth__mono,axiom, % 159.04/158.73 ! [V_j,V_i,V_xs,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 159.04/158.73 => ( 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))) % 159.04/158.73 => 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))) ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__equals__nth__mono,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 159.04/158.73 <=> ! [B_j] : % 159.04/158.73 ( 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_2))) % 159.04/158.73 => ! [B_i] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_j))) ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_map__sorted__distinct__set__unique,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] : % 159.04/158.73 ( class_Orderings_Olinorder(T_b) % 159.04/158.73 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2))) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) % 159.04/158.73 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2)) % 159.04/158.73 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2))) % 159.04/158.73 => ( hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_List_Oset(T_a),V_ys_2) % 159.04/158.73 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sublist__shift__lemma,axiom, % 159.04/158.73 ! [V_i_2,V_xs_2,V_A_2,T_a] : hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,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_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,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_a)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,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_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_a,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_a,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,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_a)),V_xs_2))))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transpose__rectangle,axiom, % 159.04/158.73 ! [V_n_2,T_a,V_xs_2] : % 159.04/158.73 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_a)) % 159.04/158.73 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 159.04/158.73 => ( ! [B_i] : % 159.04/158.73 ( 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_a))),V_xs_2))) % 159.04/158.73 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),B_i)) = V_n_2 ) % 159.04/158.73 => c_List_Otranspose(T_a,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_a)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_a)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_Nat_Onat,T_a),tc_Nat_Onat),c_List_Onth(T_a)),hAPP(c_List_Onth(tc_List_Olist(T_a)),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_a))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transpose_Opsimps_I2_J,axiom, % 159.04/158.73 ! [V_xss_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss_2))) % 159.04/158.73 => c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss_2)) = c_List_Otranspose(T_a,V_xss_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transpose_Opsimps_I1_J,axiom, % 159.04/158.73 ! [T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a)))) % 159.04/158.73 => c_List_Otranspose(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transpose__column,axiom, % 159.04/158.73 ! [V_i_2,V_xs_2,T_a] : % 159.04/158.73 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2))) % 159.04/158.73 => ( 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_a))),V_xs_2))) % 159.04/158.73 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,T_a),c_List_Onth(T_a)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_List_Otranspose(T_a,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_i_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transpose__aux__filter__head,axiom, % 159.04/158.73 ! [V_xss_2,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),c_List_Ohd(T_a)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xss_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_inj__on__rev,axiom, % 159.04/158.73 ! [V_A_2,T_a] : c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Orev(T_a),V_A_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev__is__Nil__conv,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : % 159.04/158.73 ( hAPP(c_List_Orev(T_a),V_xs_2) = c_List_Olist_ONil(T_a) % 159.04/158.73 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Nil__is__rev__conv,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : % 159.04/158.73 ( c_List_Olist_ONil(T_a) = hAPP(c_List_Orev(T_a),V_xs_2) % 159.04/158.73 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev_Osimps_I1_J,axiom, % 159.04/158.73 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev__map,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Orev(T_b),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev__concat,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : hAPP(c_List_Orev(T_a),c_List_Oconcat(T_a,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Orev(T_a)),hAPP(c_List_Orev(tc_List_Olist(T_a)),V_xs_2))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev__singleton__conv,axiom, % 159.04/158.73 ! [V_x_2,V_xs_2,T_a] : % 159.04/158.73 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) % 159.04/158.73 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_singleton__rev__conv,axiom, % 159.04/158.73 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.73 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) = hAPP(c_List_Orev(T_a),V_xs_2) % 159.04/158.73 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev__foldl__cons,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),T_a,hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a)),V_xs_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_foldl__conv__concat,axiom, % 159.04/158.73 ! [V_xss_2,V_xs_2,T_a] : hAPP(c_List_Ofoldl(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Oappend(T_a),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_Oconcat(T_a,V_xss_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_distinct__rev,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orev(T_a),V_xs_2))) % 159.04/158.73 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_concat__append,axiom, % 159.04/158.73 ! [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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev__append,axiom, % 159.04/158.73 ! [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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_concat__conv__foldl,axiom, % 159.04/158.73 ! [V_xss_2,T_a] : c_List_Oconcat(T_a,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_xss_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__rev,axiom, % 159.04/158.73 ! [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) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev__rev__ident,axiom, % 159.04/158.73 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev__swap,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,T_a] : % 159.04/158.73 ( hAPP(c_List_Orev(T_a),V_xs_2) = V_ys_2 % 159.04/158.73 <=> V_xs_2 = hAPP(c_List_Orev(T_a),V_ys_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev__is__rev__conv,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,T_a] : % 159.04/158.73 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(c_List_Orev(T_a),V_ys_2) % 159.04/158.73 <=> V_xs_2 = V_ys_2 ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_listsum__rev,axiom, % 159.04/158.73 ! [V_xs,T_a] : % 159.04/158.73 ( class_Groups_Ocomm__monoid__add(T_a) % 159.04/158.73 => 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) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_set__rev,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_zip__rev,axiom, % 159.04/158.73 ! [V_ys,T_b,V_xs,T_a] : % 159.04/158.73 ( 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) % 159.04/158.73 => 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)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev__filter,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(c_List_Orev(T_a),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_foldl__foldr,axiom, % 159.04/158.73 ! [V_xs_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_a),V_f_2),hAPP(c_List_Orev(T_b),V_xs_2),V_a_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_foldr__foldl,axiom, % 159.04/158.73 ! [V_a_2,V_xs_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),V_f_2),V_a_2),hAPP(c_List_Orev(T_b),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_concat_Osimps_I1_J,axiom, % 159.04/158.73 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ). % 159.04/158.73 % 159.04/158.73 fof(fact_concat_Osimps_I2_J,axiom, % 159.04/158.73 ! [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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Nil__eq__concat__conv,axiom, % 159.04/158.73 ! [V_xss_2,T_a] : % 159.04/158.73 ( c_List_Olist_ONil(T_a) = c_List_Oconcat(T_a,V_xss_2) % 159.04/158.73 <=> ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2))) % 159.04/158.73 => B_x = c_List_Olist_ONil(T_a) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_concat__eq__Nil__conv,axiom, % 159.04/158.73 ! [V_xss_2,T_a] : % 159.04/158.73 ( c_List_Oconcat(T_a,V_xss_2) = c_List_Olist_ONil(T_a) % 159.04/158.73 <=> ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2))) % 159.04/158.73 => B_x = c_List_Olist_ONil(T_a) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_map__concat,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_filter__concat,axiom, % 159.04/158.73 ! [V_xs_2,V_p_2,T_a] : hAPP(c_List_Ofilter(T_a,V_p_2),c_List_Oconcat(T_a,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Ofilter(T_a,V_p_2)),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev__eq__Cons__iff,axiom, % 159.04/158.73 ! [V_ys_2,V_y_2,V_xs_2,T_a] : % 159.04/158.73 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2) % 159.04/158.73 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev_Osimps_I2_J,axiom, % 159.04/158.73 ! [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))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__concat,axiom, % 159.04/158.73 ! [V_xss_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oconcat(T_a,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xss_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_set__concat,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oconcat(T_a,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)),c_List_Oset(T_a)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_hd__rev,axiom, % 159.04/158.73 ! [T_a,V_xs] : % 159.04/158.73 ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.73 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_last__rev,axiom, % 159.04/158.73 ! [T_a,V_xs] : % 159.04/158.73 ( V_xs != c_List_Olist_ONil(T_a) % 159.04/158.73 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__transpose,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev__take,axiom, % 159.04/158.73 ! [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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev__drop,axiom, % 159.04/158.73 ! [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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rotate__rev,axiom, % 159.04/158.73 ! [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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transpose_Osimps_I3_J,axiom, % 159.04/158.73 ! [V_xss_2,V_xs_2,V_x_2,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)))),c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2))))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev__nth,axiom, % 159.04/158.73 ! [V_xs,T_a,V_n] : % 159.04/158.73 ( 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))) % 159.04/158.73 => 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))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_concat__eq__concat__iff,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,T_a] : % 159.04/158.73 ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)))) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),B_x)) ) % 159.04/158.73 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_ys_2) % 159.04/158.73 => ( c_List_Oconcat(T_a,V_xs_2) = c_List_Oconcat(T_a,V_ys_2) % 159.04/158.73 <=> V_xs_2 = V_ys_2 ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_concat__injective,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,T_a] : % 159.04/158.73 ( c_List_Oconcat(T_a,V_xs_2) = c_List_Oconcat(T_a,V_ys_2) % 159.04/158.73 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_ys_2) % 159.04/158.73 => ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)))) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),B_x)) ) % 159.04/158.73 => V_xs_2 = V_ys_2 ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rev__update,axiom, % 159.04/158.73 ! [V_y,V_xs,T_a,V_k] : % 159.04/158.73 ( 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))) % 159.04/158.73 => 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) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_concat__map__singleton,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_b),c_List_Olist_OCons(T_a)),V_f_2)),c_List_Olist_ONil(T_a))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__rev__nth__mono,axiom, % 159.04/158.73 ! [V_j,V_i,V_xs,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs)) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 159.04/158.73 => ( 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))) % 159.04/158.73 => 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))) ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_foldr__max__sorted,axiom, % 159.04/158.73 ! [V_y_2,V_xs_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs_2)) % 159.04/158.73 => ( ( V_xs_2 = c_List_Olist_ONil(T_a) % 159.04/158.73 => c_List_Ofoldr(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_xs_2,V_y_2) = V_y_2 ) % 159.04/158.73 & ( V_xs_2 != c_List_Olist_ONil(T_a) % 159.04/158.73 => c_List_Ofoldr(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transpose_Opsimps_I3_J,axiom, % 159.04/158.73 ! [V_xss_2,V_xs_2,V_x_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2))) % 159.04/158.73 => c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)))),c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2))))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__transpose__sorted,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : % 159.04/158.73 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2))) % 159.04/158.73 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_a)) % 159.04/158.73 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 159.04/158.73 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_a)) % 159.04/158.73 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transpose__column__length,axiom, % 159.04/158.73 ! [V_i_2,V_xs_2,T_a] : % 159.04/158.73 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2))) % 159.04/158.73 => ( 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_a))),V_xs_2))) % 159.04/158.73 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_List_Otranspose(T_a,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_i_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transpose__aux__filter__tail,axiom, % 159.04/158.73 ! [V_xss_2,T_a] : c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Otl(T_a)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xss_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_nth__nth__transpose__sorted,axiom, % 159.04/158.73 ! [V_j_2,V_i_2,V_xs_2,T_a] : % 159.04/158.73 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2))) % 159.04/158.73 => ( 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_a))),c_List_Otranspose(T_a,V_xs_2)))) % 159.04/158.73 => ( 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_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_xs_2)))) % 159.04/158.73 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),c_List_Otranspose(T_a,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_j_2)),V_i_2) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transpose__transpose,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : % 159.04/158.73 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2))) % 159.04/158.73 => c_List_Otranspose(T_a,c_List_Otranspose(T_a,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a))),V_xs_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transfer__nat__int__list__functions_I2_J,axiom, % 159.04/158.73 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_zip__takeWhile__snd,axiom, % 159.04/158.73 ! [V_ys_2,V_P_2,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),c_List_OtakeWhile(T_b,V_P_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_a,T_b),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_a,T_b),V_P_2),c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_zip__takeWhile__fst,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,tc_prod(T_a,T_b),V_P_2),c_Product__Type_Ofst(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_set__takeWhileD,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,V_x_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)))) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_takeWhile__eq__all__conv,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : % 159.04/158.73 ( c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = V_xs_2 % 159.04/158.73 <=> ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__takeWhile__le,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,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_OtakeWhile(T_a,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_takeWhile__eq__take,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))),V_xs_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_distinct__takeWhile,axiom, % 159.04/158.73 ! [V_P_2,V_xs_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.04/158.73 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_takeWhile__tail,axiom, % 159.04/158.73 ! [V_l_2,V_xs_2,T_a,V_x_2,V_P_2] : % 159.04/158.73 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.73 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_l_2))) = c_List_OtakeWhile(T_a,V_P_2,V_xs_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__takeWhile,axiom, % 159.04/158.73 ! [V_P_2,V_xs_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,c_List_OtakeWhile(T_a,V_P_2,V_xs_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_takeWhile_Osimps_I1_J,axiom, % 159.04/158.73 ! [V_P_2,T_a] : c_List_OtakeWhile(T_a,V_P_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 159.04/158.73 % 159.04/158.73 fof(fact_takeWhile_Osimps_I2_J,axiom, % 159.04/158.73 ! [V_xs_2,T_a,V_x_2,V_P_2] : % 159.04/158.73 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.73 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)) ) % 159.04/158.73 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.73 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_a) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_takeWhile__map,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_OtakeWhile(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_return__list__def,axiom, % 159.04/158.73 ! [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) ). % 159.04/158.73 % 159.04/158.73 fof(fact_takeWhile__append1,axiom, % 159.04/158.73 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.73 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_a,V_P_2,V_xs_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_takeWhile__nth,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a,V_j_2] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)))) % 159.04/158.73 => hAPP(hAPP(c_List_Onth(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_j_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_nth__length__takeWhile,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.04/158.73 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_map__upds__def,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) = c_Map_Omap__add(T_a,T_b,V_m_2,hAPP(c_Map_Omap__of(T_a,T_b),hAPP(c_List_Orev(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_takeWhile__not__last,axiom, % 159.04/158.73 ! [T_a,V_xs_2] : % 159.04/158.73 ( V_xs_2 != c_List_Olist_ONil(T_a) % 159.04/158.73 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.04/158.73 => c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),c_List_Olast(T_a,V_xs_2))),V_xs_2) = c_List_Obutlast(T_a,V_xs_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_filter__equals__takeWhile__sorted__rev,axiom, % 159.04/158.73 ! [V_t_2,V_xs_2,V_f_2,T_b,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) % 159.04/158.73 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,T_b),hAPP(c_Orderings_Oord__class_Oless(T_a),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,T_b),hAPP(c_Orderings_Oord__class_Oless(T_a),V_t_2)),V_f_2),V_xs_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transfer__nat__int__list__return__embed,axiom, % 159.04/158.73 ! [V_l] : % 159.04/158.73 ( c_List_Onat__list(V_l) % 159.04/158.73 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__remdups__concat,axiom, % 159.04/158.73 ! [V_xss_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,c_List_Oconcat(T_a,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2)),c_List_Oset(T_a))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_distinct__remdups,axiom, % 159.04/158.73 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__remdups__leq,axiom, % 159.04/158.73 ! [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))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_remdups__map__remdups,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oremdups(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oremdups(T_b,V_xs_2))) = c_List_Oremdups(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_set__remdups,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_remdups__eq__nil__iff,axiom, % 159.04/158.73 ! [V_x_2,T_a] : % 159.04/158.73 ( c_List_Oremdups(T_a,V_x_2) = c_List_Olist_ONil(T_a) % 159.04/158.73 <=> V_x_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_remdups__eq__nil__right__iff,axiom, % 159.04/158.73 ! [V_x_2,T_a] : % 159.04/158.73 ( c_List_Olist_ONil(T_a) = c_List_Oremdups(T_a,V_x_2) % 159.04/158.73 <=> V_x_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_remdups_Osimps_I1_J,axiom, % 159.04/158.73 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__remdups,axiom, % 159.04/158.73 ! [V_l,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,V_l) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_remdups__id__iff__distinct,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : % 159.04/158.73 ( c_List_Oremdups(T_a,V_xs_2) = V_xs_2 % 159.04/158.73 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_distinct__remdups__id,axiom, % 159.04/158.73 ! [V_xs,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 159.04/158.73 => c_List_Oremdups(T_a,V_xs) = V_xs ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__remdups__eq,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : % 159.04/158.73 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) % 159.04/158.73 <=> c_List_Oremdups(T_a,V_xs_2) = V_xs_2 ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_remdups__remdups,axiom, % 159.04/158.73 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ). % 159.04/158.73 % 159.04/158.73 fof(fact_remdups__filter,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : c_List_Oremdups(T_a,hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Oremdups(T_a,V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_remove1__remdups,axiom, % 159.04/158.73 ! [V_x,V_xs,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 159.04/158.73 => 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)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_embed__list__def,axiom, % 159.04/158.73 ! [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) ). % 159.04/158.73 % 159.04/158.73 fof(fact_remdups_Osimps_I2_J,axiom, % 159.04/158.73 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.73 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => c_List_Oremdups(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_Oremdups(T_a,V_xs_2) ) % 159.04/158.73 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => c_List_Oremdups(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oremdups(T_a,V_xs_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__remdups__card__conv,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_transfer__nat__int__list__functions_I1_J,axiom, % 159.04/158.73 ! [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))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_takeWhile__neq__rev,axiom, % 159.04/158.73 ! [V_x_2,V_xs_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(c_List_Orev(T_a),hAPP(c_List_Otl(T_a),c_List_OdropWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_dropWhile__neq__rev,axiom, % 159.04/158.73 ! [V_x_2,V_xs_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => c_List_OdropWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(c_List_Orev(T_a),c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_distinct__dropWhile,axiom, % 159.04/158.73 ! [V_P_2,V_xs_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.04/158.73 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_dropWhile_Osimps_I2_J,axiom, % 159.04/158.73 ! [V_xs_2,T_a,V_x_2,V_P_2] : % 159.04/158.73 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.73 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_OdropWhile(T_a,V_P_2,V_xs_2) ) % 159.04/158.73 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.73 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__dropWhile,axiom, % 159.04/158.73 ! [V_P_2,V_xs_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,c_List_OdropWhile(T_a,V_P_2,V_xs_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_dropWhile_Osimps_I1_J,axiom, % 159.04/158.73 ! [V_P_2,T_a] : c_List_OdropWhile(T_a,V_P_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 159.04/158.73 % 159.04/158.73 fof(fact_dropWhile__eq__Nil__conv,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : % 159.04/158.73 ( c_List_OdropWhile(T_a,V_P_2,V_xs_2) = c_List_Olist_ONil(T_a) % 159.04/158.73 <=> ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__dropWhile__le,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,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_OdropWhile(T_a,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_takeWhile__dropWhile__id,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),c_List_OdropWhile(T_a,V_P_2,V_xs_2)) = V_xs_2 ). % 159.04/158.73 % 159.04/158.73 fof(fact_hd__dropWhile,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : % 159.04/158.73 ( c_List_OdropWhile(T_a,V_P_2,V_xs_2) != c_List_Olist_ONil(T_a) % 159.04/158.73 => ~ hBOOL(hAPP(V_P_2,hAPP(c_List_Ohd(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_dropWhile__map,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_OdropWhile(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_dropWhile__append1,axiom, % 159.04/158.73 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.73 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)),V_ys_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_dropWhile__eq__Cons__conv,axiom, % 159.04/158.73 ! [V_ys_2,V_y_2,V_xs_2,V_P_2,T_a] : % 159.04/158.73 ( c_List_OdropWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2) % 159.04/158.73 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)) % 159.04/158.73 & ~ hBOOL(hAPP(V_P_2,V_y_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_dropWhile__eq__drop,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : c_List_OdropWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))),V_xs_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_dropWhile__nth,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a,V_j_2] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OdropWhile(T_a,V_P_2,V_xs_2)))) % 159.04/158.73 => hAPP(hAPP(c_List_Onth(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),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_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_listsum__map__filter,axiom, % 159.04/158.73 ! [V_f_2,V_P_2,V_xs_2,T_a,T_b] : % 159.04/158.73 ( class_Groups_Omonoid__add(T_b) % 159.04/158.73 => ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => ( ~ hBOOL(hAPP(V_P_2,B_x)) % 159.04/158.73 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) ) % 159.04/158.73 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__nth__monoI,axiom, % 159.04/158.73 ! [V_xs,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( ! [B_i,B_j] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 159.04/158.73 => ( 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))) % 159.04/158.73 => 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))) ) ) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_n__lists_Osimps_I2_J,axiom, % 159.04/158.73 ! [V_xs_2,V_n_2,T_a] : c_Enum_On__lists(T_a,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_List_Omap(T_a,tc_List_Olist(T_a))),hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)))),V_xs_2)),c_Enum_On__lists(T_a,V_n_2,V_xs_2))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__sublists,axiom, % 159.04/158.73 ! [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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_distinct__n__lists,axiom, % 159.04/158.73 ! [V_n,V_xs,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 159.04/158.73 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_distinct__set__sublists,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) % 159.04/158.73 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),c_List_Oset(T_a)),c_Enum_Osublists(T_a,V_xs_2)))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__n__lists,axiom, % 159.04/158.73 ! [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) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__n__lists__elem,axiom, % 159.04/158.73 ! [V_xs_2,V_n_2,V_ys_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,V_xs_2)))) % 159.04/158.73 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = V_n_2 ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sublists__powset,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : hAPP(c_Set_Oimage(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),c_List_Oset(T_a)),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_Osublists(T_a,V_xs_2))) = hAPP(c_Set_OPow(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sublists_Osimps_I1_J,axiom, % 159.04/158.73 ! [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))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_n__lists_Osimps_I1_J,axiom, % 159.04/158.73 ! [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))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_n__lists__Nil,axiom, % 159.04/158.73 ! [T_a,V_n] : % 159.04/158.73 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.73 => 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))) ) % 159.04/158.73 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.73 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sublists_Osimps_I2_J,axiom, % 159.04/158.73 ! [V_xs_2,V_x_2,T_a] : c_Enum_Osublists(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_Enum_Osublists(T_a,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_a)),tc_fun(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),tc_List_Olist(tc_List_Olist(T_a))),c_List_Oappend(tc_List_Olist(T_a))),hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(c_List_Olist_OCons(T_a),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_a))))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_set__n__lists,axiom, % 159.04/158.73 ! [V_xs_2,V_n_2,T_a] : hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),hAPP(c_List_Oset(T_a),V_xs_2)))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_product_Osimps_I2_J,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,V_x_2,T_b,T_a] : c_Enum_Oproduct(T_a,T_b,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_a,T_b)),hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_a,T_b,V_xs_2,V_ys_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__the__def,axiom, % 159.04/158.73 ! [V_P_2,T_a] : c_Enum_Oenum__the(T_a,V_P_2) = c_HOL_OThe(T_a,V_P_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_product_Osimps_I1_J,axiom, % 159.04/158.73 ! [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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_distinct__product,axiom, % 159.04/158.73 ! [V_ys,T_b,V_xs,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 159.04/158.73 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys)) % 159.04/158.73 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_product__list__set,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_List_Oset(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_List_Oset(T_b),V_ys_2))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_map__of__zip__enum__inject,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,T_a,T_b] : % 159.04/158.73 ( ( class_Enum_Oenum(T_b) % 159.04/158.73 & class_Enum_Oenum(T_a) ) % 159.04/158.73 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Enum_Oenum__class_Oenum(T_b)) % 159.04/158.73 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Enum_Oenum__class_Oenum(T_b)) % 159.04/158.73 => ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_a),T_a,T_b,c_Option_Othe(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),c_Enum_Oenum__class_Oenum(T_b)),V_xs_2))) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_a),T_a,T_b,c_Option_Othe(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),c_Enum_Oenum__class_Oenum(T_b)),V_ys_2))) % 159.04/158.73 => V_xs_2 = V_ys_2 ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sort__foldl__insort,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),T_a,hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a))),c_List_Olist_ONil(T_a)),V_xs_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__prod__def,axiom, % 159.04/158.73 ! [T_b,T_a] : % 159.04/158.73 ( ( class_Enum_Oenum(T_a) % 159.04/158.73 & class_Enum_Oenum(T_b) ) % 159.04/158.73 => c_Enum_Oenum__class_Oenum(tc_prod(T_a,T_b)) = c_Enum_Oproduct(T_a,T_b,c_Enum_Oenum__class_Oenum(T_a),c_Enum_Oenum__class_Oenum(T_b)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__distinct,axiom, % 159.04/158.73 ! [T_a] : % 159.04/158.73 ( class_Enum_Oenum(T_a) % 159.04/158.73 => hBOOL(hAPP(c_List_Odistinct(T_a),c_Enum_Oenum__class_Oenum(T_a))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__option__def,axiom, % 159.04/158.73 ! [T_a] : % 159.04/158.73 ( class_Enum_Oenum(T_a) % 159.04/158.73 => c_Enum_Oenum__class_Oenum(tc_Option_Ooption(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)),hAPP(hAPP(c_List_Omap(T_a,tc_Option_Ooption(T_a)),c_Option_Ooption_OSome(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_distinct__sort,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_a,T_b] : % 159.04/158.73 ( class_Orderings_Olinorder(T_b) % 159.04/158.73 => ( hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2))) % 159.04/158.73 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_filter__sort,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,V_P_2,T_a,T_b] : % 159.04/158.73 ( class_Orderings_Olinorder(T_b) % 159.04/158.73 => hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__sort,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_a,T_b] : % 159.04/158.73 ( class_Orderings_Olinorder(T_b) % 159.04/158.73 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__sort,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),V_xs_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sort__key__simps_I1_J,axiom, % 159.04/158.73 ! [V_f_2,T_a,T_b] : % 159.04/158.73 ( class_Orderings_Olinorder(T_b) % 159.04/158.73 => c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_set__sort,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_a,T_b] : % 159.04/158.73 ( class_Orderings_Olinorder(T_b) % 159.04/158.73 => hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_UNIV__enum,axiom, % 159.04/158.73 ! [T_a] : % 159.04/158.73 ( class_Enum_Oenum(T_a) % 159.04/158.73 => c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__UNIV,axiom, % 159.04/158.73 ! [T_a] : % 159.04/158.73 ( class_Enum_Oenum(T_a) % 159.04/158.73 => hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_in__enum,axiom, % 159.04/158.73 ! [V_x_2,T_a] : % 159.04/158.73 ( class_Enum_Oenum(T_a) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__sort__key,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_b,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olinorder__class_Osort__key(T_b,T_a,V_f_2,V_xs_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sort__key__simps_I2_J,axiom, % 159.04/158.73 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : % 159.04/158.73 ( class_Orderings_Olinorder(T_b) % 159.04/158.73 => c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__fun__def,axiom, % 159.04/158.73 ! [T_b,T_a] : % 159.04/158.73 ( ( class_Enum_Oenum(T_a) % 159.04/158.73 & class_Enum_Oenum(T_b) ) % 159.04/158.73 => c_Enum_Oenum__class_Oenum(tc_fun(T_a,T_b)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),c_Enum_On__lists(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a)),c_Enum_Oenum__class_Oenum(T_b))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__fun__code,axiom, % 159.04/158.73 ! [T_b,T_a] : % 159.04/158.73 ( ( class_Enum_Oenum(T_a) % 159.04/158.73 & class_HOL_Oequal(T_a) % 159.04/158.73 & class_Enum_Oenum(T_b) ) % 159.04/158.73 => c_Enum_Oenum__class_Oenum(tc_fun(T_a,T_b)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),c_Enum_On__lists(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a)),c_Enum_Oenum__class_Oenum(T_b))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted__list__of__set__sort__remdups,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),c_List_Oremdups(T_a,V_xs_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_ex__n__lists__def,axiom, % 159.04/158.73 ! [V_n_2,V_P_2,T_a] : % 159.04/158.73 ( class_Enum_Oenum(T_a) % 159.04/158.73 => ( c_Enum_Oex__n__lists(T_a,V_P_2,V_n_2) % 159.04/158.73 <=> ? [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,c_Enum_Oenum__class_Oenum(T_a))))) % 159.04/158.73 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_all__n__lists__def,axiom, % 159.04/158.73 ! [V_n_2,V_P_2,T_a] : % 159.04/158.73 ( class_Enum_Oenum(T_a) % 159.04/158.73 => ( c_Enum_Oall__n__lists(T_a,V_P_2,V_n_2) % 159.04/158.73 <=> ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,c_Enum_Oenum__class_Oenum(T_a))))) % 159.04/158.73 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__all__fun__def,axiom, % 159.04/158.73 ! [V_P_2,T_a,T_b] : % 159.04/158.73 ( ( class_Enum_Oenum(T_b) % 159.04/158.73 & class_Enum_Oenum(T_a) ) % 159.04/158.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(T_a,T_b)),V_P_2)) % 159.04/158.73 <=> c_Enum_Oall__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__ex__fun__def,axiom, % 159.04/158.73 ! [V_P_2,T_a,T_b] : % 159.04/158.73 ( ( class_Enum_Oenum(T_b) % 159.04/158.73 & class_Enum_Oenum(T_a) ) % 159.04/158.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(T_a,T_b)),V_P_2)) % 159.04/158.73 <=> c_Enum_Oex__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__all__option__def,axiom, % 159.04/158.73 ! [V_P_2,T_a] : % 159.04/158.73 ( class_Enum_Oenum(T_a) % 159.04/158.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(T_a)),V_P_2)) % 159.04/158.73 <=> ( hBOOL(hAPP(V_P_2,c_Option_Ooption_ONone(T_a))) % 159.04/158.73 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_HOL_Obool,T_a),V_P_2),c_Option_Ooption_OSome(T_a)))) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__ex__option__def,axiom, % 159.04/158.73 ! [V_P_2,T_a] : % 159.04/158.73 ( class_Enum_Oenum(T_a) % 159.04/158.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(T_a)),V_P_2)) % 159.04/158.73 <=> ( hBOOL(hAPP(V_P_2,c_Option_Ooption_ONone(T_a))) % 159.04/158.73 | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_HOL_Obool,T_a),V_P_2),c_Option_Ooption_OSome(T_a)))) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_all__code,axiom, % 159.04/158.73 ! [V_P_2,T_a] : % 159.04/158.73 ( class_Enum_Oenum(T_a) % 159.04/158.73 => ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 159.04/158.73 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),V_P_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_exists__code,axiom, % 159.04/158.73 ! [V_P_2,T_a] : % 159.04/158.73 ( class_Enum_Oenum(T_a) % 159.04/158.73 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 159.04/158.73 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),V_P_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__all,axiom, % 159.04/158.73 ! [V_P_2,T_a] : % 159.04/158.73 ( class_Enum_Oenum(T_a) % 159.04/158.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),V_P_2)) % 159.04/158.73 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__ex,axiom, % 159.04/158.73 ! [V_P_2,T_a] : % 159.04/158.73 ( class_Enum_Oenum(T_a) % 159.04/158.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),V_P_2)) % 159.04/158.73 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__all__prod__def,axiom, % 159.04/158.73 ! [V_P_2,T_a,T_b] : % 159.04/158.73 ( ( class_Enum_Oenum(T_b) % 159.04/158.73 & class_Enum_Oenum(T_a) ) % 159.04/158.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_a,T_b)),V_P_2)) % 159.04/158.73 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_Enum_Oenum__class_Oenum__all(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b))))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__ex__prod__def,axiom, % 159.04/158.73 ! [V_P_2,T_a,T_b] : % 159.04/158.73 ( ( class_Enum_Oenum(T_b) % 159.04/158.73 & class_Enum_Oenum(T_a) ) % 159.04/158.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_a,T_b)),V_P_2)) % 159.04/158.73 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_Enum_Oenum__class_Oenum__ex(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b))))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_order__fun_I1_J,axiom, % 159.04/158.73 ! [V_g_2,V_f_2,T_a,T_b] : % 159.04/158.73 ( ( class_Orderings_Oorder(T_b) % 159.04/158.73 & class_Enum_Oenum(T_a) ) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 159.04/158.73 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBS(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Oord__class_Oless__eq(T_b)),V_f_2)),V_g_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_order__fun_I2_J,axiom, % 159.04/158.73 ! [V_g_2,V_f_2,T_a,T_b] : % 159.04/158.73 ( ( class_Orderings_Oorder(T_b) % 159.04/158.73 & class_Enum_Oenum(T_a) ) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 159.04/158.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 159.04/158.73 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBS(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_g_2)))) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__ex__fun__code,axiom, % 159.04/158.73 ! [V_P_2,T_a,T_b] : % 159.04/158.73 ( ( class_Enum_Oenum(T_b) % 159.04/158.73 & class_Enum_Oenum(T_a) % 159.04/158.73 & class_HOL_Oequal(T_a) ) % 159.04/158.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(T_a,T_b)),V_P_2)) % 159.04/158.73 <=> c_Enum_Oex__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_enum__all__fun__code,axiom, % 159.04/158.73 ! [V_P_2,T_a,T_b] : % 159.04/158.73 ( ( class_Enum_Oenum(T_b) % 159.04/158.73 & class_Enum_Oenum(T_a) % 159.04/158.73 & class_HOL_Oequal(T_a) ) % 159.04/158.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(T_a,T_b)),V_P_2)) % 159.04/158.73 <=> c_Enum_Oall__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_image__INT,axiom, % 159.04/158.73 ! [V_j_2,V_B_2,V_A_2,T_c,V_C_2,V_f_2,T_b,T_a] : % 159.04/158.73 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2) % 159.04/158.73 => ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) ) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_j_2),V_A_2)) % 159.04/158.73 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,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_a,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Oimage(T_a,T_b,V_f_2)),V_B_2)) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_map__of__zip__enum__is__Some,axiom, % 159.04/158.73 ! [V_x,V_ys,T_b,T_a] : % 159.04/158.73 ( class_Enum_Oenum(T_a) % 159.04/158.73 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a)) % 159.04/158.73 => ? [B_y] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a)),V_ys)),V_x) = hAPP(c_Option_Ooption_OSome(T_b),B_y) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_takeWhile__eq__filter,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_a] : % 159.04/158.73 ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)))) % 159.04/158.73 => ~ hBOOL(hAPP(V_P_2,B_x)) ) % 159.04/158.73 => c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_inj__on__mapI,axiom, % 159.04/158.73 ! [V_A_2,V_f_2,T_b,T_a] : % 159.04/158.73 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),c_List_Oset(T_a)),V_A_2))) % 159.04/158.73 => c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),V_A_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_UnionI,axiom, % 159.04/158.73 ! [V_A_2,V_C_2,V_X_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2)) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Sup__upper,axiom, % 159.04/158.73 ! [V_A_2,V_x_2,T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_image__Union,axiom, % 159.04/158.73 ! [V_S_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),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_a,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_b,T_a,V_f_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Union__image__eq,axiom, % 159.04/158.73 ! [V_A_2,V_B_2,T_b,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_UNION__eq__Union__image,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Field__Union,axiom, % 159.04/158.73 ! [V_R_2,T_a] : hAPP(c_Relation_OField(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Relation_OField(T_a)),V_R_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Union__Un__distrib,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_INT__extend__simps_I8_J,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_INT__simps_I8_J,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_subset__Pow__Union,axiom, % 159.04/158.73 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Union__mono,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_less__Sup__iff,axiom, % 159.04/158.73 ! [V_S_2,V_a_2,T_a] : % 159.04/158.73 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 & class_Orderings_Olinorder(T_a) ) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_S_2))) % 159.04/158.73 <=> ? [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2)) % 159.04/158.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),B_x)) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Union__Pow__eq,axiom, % 159.04/158.73 ! [V_A_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_OPow(T_a),V_A_2)) = V_A_2 ). % 159.04/158.73 % 159.04/158.73 fof(fact_Union__empty,axiom, % 159.04/158.73 ! [T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Sup__le__iff,axiom, % 159.04/158.73 ! [V_b_2,V_A_2,T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)),V_b_2)) % 159.04/158.73 <=> ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Union__upper,axiom, % 159.04/158.73 ! [V_A_2,V_B_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Union__insert,axiom, % 159.04/158.73 ! [V_B_2,V_a_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Union__quotient,axiom, % 159.04/158.73 ! [V_r_2,V_A_2,T_a] : % 159.04/158.73 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 159.04/158.73 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)) = V_A_2 ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_finite__UnionD,axiom, % 159.04/158.73 ! [V_A_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2))) % 159.04/158.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Union__UNIV,axiom, % 159.04/158.73 ! [T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Union__disjoint,axiom, % 159.04/158.73 ! [V_A_2,V_C_2,T_a] : % 159.04/158.73 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 <=> ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),V_C_2)) % 159.04/158.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Int__Union,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Int__Union2,axiom, % 159.04/158.73 ! [V_A_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_vimage__Union,axiom, % 159.04/158.73 ! [V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_a,T_b,V_f_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_UN__simps_I8_J,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_UN__extend__simps_I8_J,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Union__def,axiom, % 159.04/158.73 ! [V_S_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_a,tc_HOL_Obool))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Sigma__Union,axiom, % 159.04/158.73 ! [V_B_2,V_X_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b)),V_B_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Sup__empty,axiom, % 159.04/158.73 ! [T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_a) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Sup__singleton,axiom, % 159.04/158.73 ! [V_a_2,T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Sup__insert,axiom, % 159.04/158.73 ! [V_A_2,V_a_2,T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Sup__UNIV,axiom, % 159.04/158.73 ! [T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_a) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Un__eq__Union,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Un__Union__image,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Union__Int__subset,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Sup__binary,axiom, % 159.04/158.73 ! [V_b_2,V_a_2,T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),V_b_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Sup__fin__Sup,axiom, % 159.04/158.73 ! [V_A_2,T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Sup__set__fold,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_xs_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_finite__Union,axiom, % 159.04/158.73 ! [V_A_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) % 159.04/158.73 => ( ! [B_M] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_M),V_A_2)) % 159.04/158.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_M)) ) % 159.04/158.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_insert__partition,axiom, % 159.04/158.73 ! [V_F_2,V_x_2,T_a] : % 159.04/158.73 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_F_2)) % 159.04/158.73 => ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_F_2))) % 159.04/158.73 => ! [B_xa] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_F_2))) % 159.04/158.73 => ( B_x != B_xa % 159.04/158.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) % 159.04/158.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_takeWhile__eq__take__P__nth,axiom, % 159.04/158.73 ! [V_P_2,V_xs_2,T_a,V_n_2] : % 159.04/158.73 ( ! [B_i] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.04/158.73 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) ) ) % 159.04/158.73 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.04/158.73 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2))) ) % 159.04/158.73 => c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_length__takeWhile__less__P__nth,axiom, % 159.04/158.73 ! [V_xs_2,T_a,V_P_2,V_j_2] : % 159.04/158.73 ( ! [B_i] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2)) % 159.04/158.73 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) ) % 159.04/158.73 => ( 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_a)),V_xs_2))) % 159.04/158.73 => 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_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Sup__Inf,axiom, % 159.04/158.73 ! [V_A_2,T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a)))))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inf__Sup,axiom, % 159.04/158.73 ! [V_A_2,T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_a))))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_finite__Inter,axiom, % 159.04/158.73 ! [V_M_2,T_a] : % 159.04/158.73 ( ? [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),V_M_2)) % 159.04/158.73 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_x)) ) % 159.04/158.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_M_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_InterE,axiom, % 159.04/158.73 ! [V_X_2,V_C_2,V_A_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2))) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_InterD,axiom, % 159.04/158.73 ! [V_X_2,V_C_2,V_A_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2))) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inter__UNIV,axiom, % 159.04/158.73 ! [T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inter__eq,axiom, % 159.04/158.73 ! [V_A_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_a),hAPP(c_COMBS(tc_fun(T_a,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_a,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_a,tc_HOL_Obool))),V_A_2)))),c_member(T_a)))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inter__lower,axiom, % 159.04/158.73 ! [V_A_2,V_B_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),V_B_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_le__Inf__iff,axiom, % 159.04/158.73 ! [V_A_2,V_b_2,T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2))) % 159.04/158.73 <=> ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inf__less__iff,axiom, % 159.04/158.73 ! [V_a_2,V_S_2,T_a] : % 159.04/158.73 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 & class_Orderings_Olinorder(T_a) ) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Complete__Lattice_OInf__class_OInf(T_a,V_S_2)),V_a_2)) % 159.04/158.73 <=> ? [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2)) % 159.04/158.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_a_2)) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inter__empty,axiom, % 159.04/158.73 ! [T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inter__anti__mono,axiom, % 159.04/158.73 ! [V_A_2,V_B_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inter__insert,axiom, % 159.04/158.73 ! [V_B_2,V_a_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inter__Un__distrib,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inf__lower,axiom, % 159.04/158.73 ! [V_A_2,V_x_2,T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)),V_x_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inter__def,axiom, % 159.04/158.73 ! [V_S_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_a,tc_HOL_Obool))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inf__singleton,axiom, % 159.04/158.73 ! [V_a_2,T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inf__empty,axiom, % 159.04/158.73 ! [T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_a) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inf__UNIV,axiom, % 159.04/158.73 ! [T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_a) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inf__insert,axiom, % 159.04/158.73 ! [V_A_2,V_a_2,T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inter__image__eq,axiom, % 159.04/158.73 ! [V_A_2,V_B_2,T_b,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_INTER__eq__Inter__image,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Un__Inter,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Int__eq__Inter,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Int__Inter__image,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inter__Un__subset,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inf__binary,axiom, % 159.04/158.73 ! [V_b_2,V_a_2,T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),V_b_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inf__fin__Inf,axiom, % 159.04/158.73 ! [V_A_2,T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inf__set__fold,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : % 159.04/158.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.73 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_xs_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__def,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 159.04/158.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 159.04/158.73 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 159.04/158.73 & ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)))) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2),B_x)) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted_Osimps,axiom, % 159.04/158.73 ! [V_a_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( c_List_Olinorder__class_Osorted(T_a,V_a_2) % 159.04/158.73 <=> ( V_a_2 = c_List_Olist_ONil(T_a) % 159.04/158.73 | ? [B_xs,B_x] : % 159.04/158.73 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_xs) % 159.04/158.73 & ! [B_xa] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(c_List_Oset(T_a),B_xs))) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),B_xa)) ) % 159.04/158.73 & c_List_Olinorder__class_Osorted(T_a,B_xs) ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__Cons,axiom, % 159.04/158.73 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_P_2,T_b,T_a] : % 159.04/158.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) % 159.04/158.73 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 159.04/158.73 & c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__map1,axiom, % 159.04/158.73 ! [V_bs_2,V_as_2,V_f_2,T_c,V_P_2,T_b,T_a] : % 159.04/158.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_as_2),V_bs_2) % 159.04/158.73 <=> c_List_Olist__all2(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),V_P_2),V_f_2),V_as_2,V_bs_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__map2,axiom, % 159.04/158.73 ! [V_bs_2,V_f_2,T_c,V_as_2,V_P_2,T_b,T_a] : % 159.04/158.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_as_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_bs_2)) % 159.04/158.73 <=> c_List_Olist__all2(T_a,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_c)),V_P_2)),V_f_2),V_as_2,V_bs_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__eq,axiom, % 159.04/158.73 ! [T_a,V_ys_2,V_xs_2] : % 159.04/158.73 ( V_xs_2 = V_ys_2 % 159.04/158.73 <=> c_List_Olist__all2(T_a,T_a,c_fequal,V_xs_2,V_ys_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__lengthD,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 159.04/158.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 159.04/158.73 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__dropI,axiom, % 159.04/158.73 ! [V_n_2,V_bs_2,V_as_2,V_P_2,T_b,T_a] : % 159.04/158.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_as_2,V_bs_2) % 159.04/158.73 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_bs_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__takeI,axiom, % 159.04/158.73 ! [V_n_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 159.04/158.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 159.04/158.73 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_ys_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__Nil,axiom, % 159.04/158.73 ! [V_ys_2,V_P_2,T_b,T_a] : % 159.04/158.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,c_List_Olist_ONil(T_a),V_ys_2) % 159.04/158.73 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__Nil2,axiom, % 159.04/158.73 ! [V_xs_2,V_P_2,T_b,T_a] : % 159.04/158.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,c_List_Olist_ONil(T_b)) % 159.04/158.73 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__rev,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 159.04/158.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2),hAPP(c_List_Orev(T_b),V_ys_2)) % 159.04/158.73 <=> c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__rev1,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 159.04/158.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2),V_ys_2) % 159.04/158.73 <=> c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,hAPP(c_List_Orev(T_b),V_ys_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__append,axiom, % 159.04/158.73 ! [V_vs_2,V_us_2,V_P_2,V_ys_2,T_b,V_xs_2,T_a] : % 159.04/158.73 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 159.04/158.73 => ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2)) % 159.04/158.73 <=> ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 159.04/158.73 & c_List_Olist__all2(T_a,T_b,V_P_2,V_us_2,V_vs_2) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__appendI,axiom, % 159.04/158.73 ! [V_d_2,V_ca_2,V_b_2,V_a_2,V_P_2,T_b,T_a] : % 159.04/158.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_a_2,V_b_2) % 159.04/158.73 => ( c_List_Olist__all2(T_a,T_b,V_P_2,V_ca_2,V_d_2) % 159.04/158.73 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_List_Oappend(T_b),V_b_2),V_d_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__conv__all__nth,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 159.04/158.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 159.04/158.73 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 159.04/158.73 & ! [B_i] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.04/158.73 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i))) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__nthD,axiom, % 159.04/158.73 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 159.04/158.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.04/158.73 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),V_p_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__nthD2,axiom, % 159.04/158.73 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 159.04/158.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 159.04/158.73 => ( 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_ys_2))) % 159.04/158.73 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),V_p_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__update__cong2,axiom, % 159.04/158.73 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] : % 159.04/158.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 159.04/158.73 => ( 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_ys_2))) % 159.04/158.73 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__update__cong,axiom, % 159.04/158.73 ! [V_y_2,V_x_2,V_ys_2,V_P_2,T_b,V_xs_2,T_a,V_i_2] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.04/158.73 => ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 159.04/158.73 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2I,axiom, % 159.04/158.73 ! [V_P_2,V_b_2,V_a_2,T_b,T_a] : % 159.04/158.73 ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_a_2),V_b_2)))) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2),B_x)) ) % 159.04/158.73 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_b_2) % 159.04/158.73 => c_List_Olist__all2(T_a,T_b,V_P_2,V_a_2,V_b_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_SigmaE,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,V_ca_2,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_ca_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) % 159.04/158.73 => ~ ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.73 => ! [B_y] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(V_B_2,B_x))) % 159.04/158.73 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_card__partition,axiom, % 159.04/158.73 ! [V_k_2,V_C_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_C_2)) % 159.04/158.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2))) % 159.04/158.73 => ( ! [B_c] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c),V_C_2)) % 159.04/158.73 => hAPP(c_Finite__Set_Ocard(T_a),B_c) = V_k_2 ) % 159.04/158.73 => ( ! [B_c1] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c1),V_C_2)) % 159.04/158.73 => ! [B_c2] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c2),V_C_2)) % 159.04/158.73 => ( B_c1 != B_c2 % 159.04/158.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) % 159.04/158.73 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)) ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_not__in__set__insert,axiom, % 159.04/158.73 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.73 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_distinct__insert,axiom, % 159.04/158.73 ! [V_x,V_xs,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 159.04/158.73 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_insert__remdups,axiom, % 159.04/158.73 ! [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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_in__set__insert,axiom, % 159.04/158.73 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = V_xs_2 ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_List_Oset__insert,axiom, % 159.04/158.73 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oinsert(T_a,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_insert__Nil,axiom, % 159.04/158.73 ! [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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_List_Oinsert__def,axiom, % 159.04/158.73 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.73 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = V_xs_2 ) % 159.04/158.73 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_concat__map__maps,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),V_f_2),V_xs_2)) = c_List_Omaps(T_b,T_a,V_f_2,V_xs_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_maps__def,axiom, % 159.04/158.73 ! [V_xs_2,V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,V_xs_2) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),V_f_2),V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_maps__simps_I2_J,axiom, % 159.04/158.73 ! [V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ). % 159.04/158.73 % 159.04/158.73 fof(fact_maps__simps_I1_J,axiom, % 159.04/158.73 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_b,T_a,V_f_2,V_xs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_distinct__concat,axiom, % 159.04/158.73 ! [V_xs_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),V_xs_2)) % 159.04/158.73 => ( ! [B_ys] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2))) % 159.04/158.73 => hBOOL(hAPP(c_List_Odistinct(T_a),B_ys)) ) % 159.04/158.73 => ( ! [B_ys] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2))) % 159.04/158.73 => ! [B_zs] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2))) % 159.04/158.73 => ( B_ys != B_zs % 159.04/158.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),B_ys)),hAPP(c_List_Oset(T_a),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) % 159.04/158.73 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oconcat(T_a,V_xs_2))) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_code__numeral_Osimps_I5_J,axiom, % 159.04/158.73 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_a] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_a,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_code__numeral_Osimps_I4_J,axiom, % 159.04/158.73 ! [V_f2_2,V_f1_2,T_a] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_a,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ). % 159.04/158.73 % 159.04/158.73 fof(fact_accp__acc__eq,axiom, % 159.04/158.73 ! [V_x_2,V_r_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),V_x_2)) % 159.04/158.73 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_measures__lesseq,axiom, % 159.04/158.73 ! [V_fs_2,T_a,V_y_2,V_x_2,V_f_2] : % 159.04/158.73 ( 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))) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,V_fs_2))) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Cons__acc__listrel1I,axiom, % 159.04/158.73 ! [V_xs_2,V_r_2,V_x_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_lists__accI,axiom, % 159.04/158.73 ! [V_r_2,V_xs_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,c_Wellfounded_Oacc(T_a,V_r_2)))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_lists__accD,axiom, % 159.04/158.73 ! [V_r_2,V_xs_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,c_Wellfounded_Oacc(T_a,V_r_2)))) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_acc__subset,axiom, % 159.04/158.73 ! [V_R2_2,V_R1_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R1_2),V_R2_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Oacc(T_a,V_R2_2)),c_Wellfounded_Oacc(T_a,V_R1_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_acc_Osimps,axiom, % 159.04/158.73 ! [V_r_2,V_a_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2))) % 159.04/158.73 <=> ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_a_2)),V_r_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_acc__downward,axiom, % 159.04/158.73 ! [V_a_2,V_r_2,V_b_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_in__measures_I1_J,axiom, % 159.04/158.73 ! [V_y_2,V_x_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,c_List_Olist_ONil(tc_fun(T_a,tc_Nat_Onat))))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_measures__def,axiom, % 159.04/158.73 ! [V_fs_2,T_a] : c_List_Omeasures(T_a,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_a),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(tc_fun(T_a,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_a,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_a),c_List_Omap(tc_fun(T_a,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_a,tc_Nat_Onat),T_a,tc_Nat_Onat),c_COMBI(tc_fun(T_a,tc_Nat_Onat))))),V_fs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_in__measures_I2_J,axiom, % 159.04/158.73 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2)))) % 159.04/158.73 <=> ( 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))) % 159.04/158.73 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 159.04/158.73 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,V_fs_2))) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_measures__less,axiom, % 159.04/158.73 ! [V_fs_2,T_a,V_y_2,V_x_2,V_f_2] : % 159.04/158.73 ( 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))) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rel__comp__def,axiom, % 159.04/158.73 ! [V_s_2,V_r_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_a),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_a,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(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_a),c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(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_a),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_a),c_COMBC(T_c,tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_a,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_c),tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_a,T_c)))),c_Product__Type_OPair(T_a,T_c)))),V_r_2))))),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_s_2))))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_max__extp_Oequations,axiom, % 159.04/158.73 ! [V_a2_2,V_a1_2,V_R_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Omax__extp(T_a,V_R_2,V_a1_2,V_a2_2) % 159.04/158.73 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a1_2)) % 159.04/158.73 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a2_2)) % 159.04/158.73 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 & ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a1_2)) % 159.04/158.73 => ? [B_xa] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_a2_2)) % 159.04/158.73 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rel__compI,axiom, % 159.04/158.73 ! [V_s_2,V_ca_2,T_c,V_r_2,V_b_2,V_a_2,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2)) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_b_2),V_ca_2)),V_s_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_a_2),V_ca_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rel__comp__UNION__distrib,axiom, % 159.04/158.73 ! [V_r_2,V_I_2,T_d,V_s_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_d),hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_s_2)),V_r_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rel__comp__UNION__distrib2,axiom, % 159.04/158.73 ! [V_s_2,V_r_2,V_I_2,T_d,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_d),c_Relation_Orel__comp(T_a,T_c,T_b)),V_r_2)),V_s_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_union__comp__emptyR,axiom, % 159.04/158.73 ! [V_C_2,V_B_2,V_A_2,T_a] : % 159.04/158.73 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) % 159.04/158.73 => ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) % 159.04/158.73 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_union__comp__emptyL,axiom, % 159.04/158.73 ! [V_B_2,V_C_2,V_A_2,T_a] : % 159.04/158.73 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) % 159.04/158.73 => ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) % 159.04/158.73 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rel__comp__empty2,axiom, % 159.04/158.73 ! [V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rel__comp__empty1,axiom, % 159.04/158.73 ! [V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_O__assoc,axiom, % 159.04/158.73 ! [V_T_2,V_S_2,V_R_2,T_d,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_d,T_c),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_d,T_b),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_d,T_c,T_b),V_S_2),V_T_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rel__comp__distrib,axiom, % 159.04/158.73 ! [V_T_2,V_S_2,V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),V_T_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rel__comp__distrib2,axiom, % 159.04/158.73 ! [V_R_2,V_T_2,V_S_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_c),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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_T_2),V_R_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rel__comp__mono,axiom, % 159.04/158.73 ! [V_s_2,V_s_H_2,T_c,V_r_2,V_r_H_2,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2)) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_s_H_2),V_s_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_rel__comp__subset__Sigma,axiom, % 159.04/158.73 ! [V_C_2,V_s_2,T_c,V_B_2,V_A_2,V_r_2,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_s_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)))) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_C_2)))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_max__ext__compat,axiom, % 159.04/158.73 ! [V_S_2,V_R_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_a,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_a,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_min__ext__compat,axiom, % 159.04/158.73 ! [V_S_2,V_R_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_a,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_a,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_a,V_R_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_pred__comp__rel__comp__eq,axiom, % 159.04/158.73 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_c,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_a,T_b,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),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)) % 159.04/158.73 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_reduction__pairI,axiom, % 159.04/158.73 ! [V_S_2,V_R_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_R_2) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2)) % 159.04/158.73 => c_FunDef_Oreduction__pair(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__less__than,axiom, % 159.04/158.73 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 159.04/158.73 % 159.04/158.73 fof(fact_pred__comp_Ointros,axiom, % 159.04/158.73 ! [T_c,T_b,T_a,V_ca_2,V_s_2,V_b_2,V_a_2,V_r_2] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_ca_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_a,T_b,T_c,V_r_2,V_s_2),V_a_2),V_ca_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__empty,axiom, % 159.04/158.73 ! [T_a] : c_Wellfounded_Owf(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__inv__image,axiom, % 159.04/158.73 ! [V_f_2,T_b,V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Oinv__image(T_a,T_b),V_r_2),V_f_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__lex,axiom, % 159.04/158.73 ! [V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => c_Wellfounded_Owf(tc_List_Olist(T_a),c_List_Olex(T_a,V_r_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__lex__prod,axiom, % 159.04/158.73 ! [V_rb_2,T_b,V_ra_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_ra_2) % 159.04/158.73 => ( c_Wellfounded_Owf(T_b,V_rb_2) % 159.04/158.73 => c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Wellfounded_Olex__prod(T_a,T_b,V_ra_2,V_rb_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__lenlex,axiom, % 159.04/158.73 ! [V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => c_Wellfounded_Owf(tc_List_Olist(T_a),c_List_Olenlex(T_a,V_r_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__measure,axiom, % 159.04/158.73 ! [V_f_2,T_a] : c_Wellfounded_Owf(T_a,hAPP(c_Wellfounded_Omeasure(T_a),V_f_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__acc__iff,axiom, % 159.04/158.73 ! [V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_acc__wfD,axiom, % 159.04/158.73 ! [V_x_2,V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__no__loop,axiom, % 159.04/158.73 ! [V_R_2,T_a] : % 159.04/158.73 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) % 159.04/158.73 => c_Wellfounded_Owf(T_a,V_R_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__comp__self,axiom, % 159.04/158.73 ! [V_R_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_R_2) % 159.04/158.73 <=> c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__union__merge,axiom, % 159.04/158.73 ! [V_S_2,V_R_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) % 159.04/158.73 <=> c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_S_2),V_R_2))),V_S_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__Int1,axiom, % 159.04/158.73 ! [V_r_H_2,V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__Int2,axiom, % 159.04/158.73 ! [V_r_H_2,V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__subset,axiom, % 159.04/158.73 ! [V_p_2,V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_p_2),V_r_2)) % 159.04/158.73 => c_Wellfounded_Owf(T_a,V_p_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__int__ge__less__than,axiom, % 159.04/158.73 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__int__ge__less__than2,axiom, % 159.04/158.73 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_min__ext__wf,axiom, % 159.04/158.73 ! [V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_a,V_r_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__finite__psubset,axiom, % 159.04/158.73 ! [T_a] : c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_a)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_pred__comp_Oequations,axiom, % 159.04/158.73 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_c,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_a,T_b,T_c,V_r_2,V_s_2),V_a1_2),V_a3_2)) % 159.04/158.73 <=> ? [B_b] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b)) % 159.04/158.73 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__mlex,axiom, % 159.04/158.73 ! [V_f_2,V_R_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_R_2) % 159.04/158.73 => c_Wellfounded_Owf(T_a,c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__pair__less,axiom, % 159.04/158.73 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 159.04/158.73 % 159.04/158.73 fof(fact_max__ext__wf,axiom, % 159.04/158.73 ! [V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_a,V_r_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__lexn,axiom, % 159.04/158.73 ! [V_n_2,V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => c_Wellfounded_Owf(tc_List_Olist(T_a),hAPP(c_List_Olexn(T_a,V_r_2),V_n_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__not__refl,axiom, % 159.04/158.73 ! [V_a_2,V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__not__sym,axiom, % 159.04/158.73 ! [V_x_2,V_a_2,V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_x_2)),V_r_2)) % 159.04/158.73 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_a_2)),V_r_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__asym,axiom, % 159.04/158.73 ! [V_x_2,V_a_2,V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_x_2)),V_r_2)) % 159.04/158.73 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_a_2)),V_r_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__irrefl,axiom, % 159.04/158.73 ! [V_a_2,V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__less,axiom, % 159.04/158.73 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)))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__measures,axiom, % 159.04/158.73 ! [V_fs_2,T_a] : c_Wellfounded_Owf(T_a,c_List_Omeasures(T_a,V_fs_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__iff__no__infinite__down__chain,axiom, % 159.04/158.73 ! [V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 <=> ~ ? [B_f] : % 159.04/158.73 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wfE__pf,axiom, % 159.04/158.73 ! [V_A_2,V_R_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_R_2) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_a,T_a,V_R_2),V_A_2))) % 159.04/158.73 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__union__compatible,axiom, % 159.04/158.73 ! [V_S_2,V_R_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_R_2) % 159.04/158.73 => ( c_Wellfounded_Owf(T_a,V_S_2) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2)) % 159.04/158.73 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf,axiom, % 159.04/158.73 ! [T_a] : % 159.04/158.73 ( class_Orderings_Owellorder(T_a) % 159.04/158.73 => c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_a)))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_reduction__pair__def,axiom, % 159.04/158.73 ! [V_P_2,T_a] : % 159.04/158.73 ( c_FunDef_Oreduction__pair(T_a,V_P_2) % 159.04/158.73 <=> ( c_Wellfounded_Owf(T_a,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2)) % 159.04/158.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_reduction__pair__lemma,axiom, % 159.04/158.73 ! [V_S_2,V_R_2,V_P_2,T_a] : % 159.04/158.73 ( c_FunDef_Oreduction__pair(T_a,V_P_2) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))) % 159.04/158.73 => ( c_Wellfounded_Owf(T_a,V_S_2) % 159.04/158.73 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__map__pair__image,axiom, % 159.04/158.73 ! [V_f_2,T_b,V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) % 159.04/158.73 => c_Wellfounded_Owf(T_b,hAPP(c_Set_Oimage(tc_prod(T_a,T_a),tc_prod(T_b,T_b),c_Product__Type_Omap__pair(T_a,T_b,T_a,T_b,V_f_2,V_f_2)),V_r_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__if__measure,axiom, % 159.04/158.73 ! [T_a,V_g_2,V_f_2,V_P_2] : % 159.04/158.73 ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(V_P_2,B_x)) % 159.04/158.73 => 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))) ) % 159.04/158.73 => c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),V_g_2))))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_max__ext_Ointros,axiom, % 159.04/158.73 ! [V_R_2,V_Y_2,V_X_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_X_2)) % 159.04/158.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Y_2)) % 159.04/158.73 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 => ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_X_2)) % 159.04/158.73 => ? [B_xa] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_Y_2)) % 159.04/158.73 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_R_2)) ) ) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_pred__nat__def,axiom, % 159.04/158.73 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))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__same__fst,axiom, % 159.04/158.73 ! [T_a,V_R_2,T_b,V_P_2] : % 159.04/158.73 ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(V_P_2,B_x)) % 159.04/158.73 => c_Wellfounded_Owf(T_b,hAPP(V_R_2,B_x)) ) % 159.04/158.73 => c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__pred__nat,axiom, % 159.04/158.73 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Nitpick_Ozero__frac__def,axiom, % 159.04/158.73 ! [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))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_inj__on__Inter,axiom, % 159.04/158.73 ! [V_f_2,T_b,T_a,V_S_2] : % 159.04/158.73 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) % 159.04/158.73 => ( ! [B_A] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_A),V_S_2)) % 159.04/158.73 => c_Fun_Oinj__on(T_a,T_b,V_f_2,B_A) ) % 159.04/158.73 => c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_S_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Nitpick_Oone__frac__def,axiom, % 159.04/158.73 ! [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))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Nitpick_Onumber__of__frac__def,axiom, % 159.04/158.73 ! [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))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Nitpick_Ofrac__def,axiom, % 159.04/158.73 ! [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)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Range__Collect__split,axiom, % 159.04/158.73 ! [V_P_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(c_Set_OCollect(tc_prod(T_b,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),V_P_2))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_RangeI,axiom, % 159.04/158.73 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Range__Un__eq,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Range__empty,axiom, % 159.04/158.73 ! [T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Range__empty__iff,axiom, % 159.04/158.73 ! [V_r_2,T_a,T_b] : % 159.04/158.73 ( hAPP(c_Relation_ORange(T_b,T_a),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Range__Union,axiom, % 159.04/158.73 ! [V_S_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_b,T_a)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Range__Id__on,axiom, % 159.04/158.73 ! [V_A_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = V_A_2 ). % 159.04/158.73 % 159.04/158.73 fof(fact_finite__Range,axiom, % 159.04/158.73 ! [V_r_2,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),V_r_2)) % 159.04/158.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_snd__eq__Range,axiom, % 159.04/158.73 ! [V_R_2,T_a,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_a,c_Product__Type_Osnd(T_b,T_a)),V_R_2) = hAPP(c_Relation_ORange(T_b,T_a),V_R_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Range__iff,axiom, % 159.04/158.73 ! [V_r_2,T_b,V_a_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2))) % 159.04/158.73 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_y),V_a_2)),V_r_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Range__insert,axiom, % 159.04/158.73 ! [V_r_2,V_b_2,V_a_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Range__Int__subset,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2)))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Range__Diff__subset,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2))),hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_RangeP__Range__eq,axiom, % 159.04/158.73 ! [V_x_2,V_r_2,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2)) % 159.04/158.73 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_RangeE,axiom, % 159.04/158.73 ! [V_r_2,T_b,V_b_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2))) % 159.04/158.73 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_RangeP_Ointros,axiom, % 159.04/158.73 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 159.04/158.73 => hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,V_r_2),V_b_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_RangeP_Oequations,axiom, % 159.04/158.73 ! [V_a2_2,V_r_2,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,V_r_2),V_a2_2)) % 159.04/158.73 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__Un,axiom, % 159.04/158.73 ! [V_s_2,V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => ( c_Wellfounded_Owf(T_a,V_s_2) % 159.04/158.73 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_a),V_r_2)),hAPP(c_Relation_ORange(T_a,T_a),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Inter__subset,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_a] : % 159.04/158.73 ( ! [B_X] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_A_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),B_X),V_B_2)) ) % 159.04/158.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_DomainI,axiom, % 159.04/158.73 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Domain__Un__eq,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Domain__mono,axiom, % 159.04/158.73 ! [V_s_2,V_r_2,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_s_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Domain__empty,axiom, % 159.04/158.73 ! [T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Domain__empty__iff,axiom, % 159.04/158.73 ! [V_r_2,T_b,T_a] : % 159.04/158.73 ( hAPP(c_Relation_ODomain(T_a,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Domain__Id__on,axiom, % 159.04/158.73 ! [V_A_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = V_A_2 ). % 159.04/158.73 % 159.04/158.73 fof(fact_finite__Domain,axiom, % 159.04/158.73 ! [V_r_2,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),V_r_2)) % 159.04/158.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_fst__eq__Domain,axiom, % 159.04/158.73 ! [V_R_2,T_b,T_a] : hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),V_R_2) = hAPP(c_Relation_ODomain(T_a,T_b),V_R_2) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Domain__iff,axiom, % 159.04/158.73 ! [V_r_2,T_b,V_a_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) % 159.04/158.73 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),B_y)),V_r_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Domain__insert,axiom, % 159.04/158.73 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Domain__Int__subset,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2)))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Domain__Diff__subset,axiom, % 159.04/158.73 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2))),hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Field__def,axiom, % 159.04/158.73 ! [V_r_2,T_a] : hAPP(c_Relation_OField(T_a),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_a),V_r_2)),hAPP(c_Relation_ORange(T_a,T_a),V_r_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Domain__Union,axiom, % 159.04/158.73 ! [V_S_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_a,T_b)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Domain__Collect__split,axiom, % 159.04/158.73 ! [V_P_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),V_P_2)) ). % 159.04/158.73 % 159.04/158.73 fof(fact_DomainP__Domain__eq,axiom, % 159.04/158.73 ! [V_x_2,V_r_2,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2)) % 159.04/158.73 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_DomainE,axiom, % 159.04/158.73 ! [V_r_2,T_b,V_a_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) % 159.04/158.73 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),B_y)),V_r_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_DomainP_Ointros,axiom, % 159.04/158.73 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 159.04/158.73 => hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,V_r_2),V_a_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_DomainP_Oequations,axiom, % 159.04/158.73 ! [V_a1_2,V_r_2,T_b,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,V_r_2),V_a1_2)) % 159.04/158.73 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_foldl__apply,axiom, % 159.04/158.73 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_b,T_c,V_xs_2,T_a] : % 159.04/158.73 ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => hAPP(c_Fun_Ocomp(T_c,T_c,T_b,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_h_2),hAPP(V_g_2,B_x)) ) % 159.04/158.73 => hAPP(c_List_Ofoldl(T_c,T_a,hAPP(c_COMBC(T_a,T_c,T_c),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_g_2),V_s_2),V_xs_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wfP__def,axiom, % 159.04/158.73 ! [V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_OwfP(T_a,V_r_2) % 159.04/158.73 <=> c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wfP__empty,axiom, % 159.04/158.73 ! [T_a] : c_Wellfounded_OwfP(T_a,hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fFalse))) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wfP__subset,axiom, % 159.04/158.73 ! [V_p_2,V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_OwfP(T_a,V_r_2) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_p_2),V_r_2)) % 159.04/158.73 => c_Wellfounded_OwfP(T_a,V_p_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_accp__wfPD,axiom, % 159.04/158.73 ! [V_x_2,V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_OwfP(T_a,V_r_2) % 159.04/158.73 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_x_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wfP__accp__iff,axiom, % 159.04/158.73 ! [V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_OwfP(T_a,V_r_2) % 159.04/158.73 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x1)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__in__rel,axiom, % 159.04/158.73 ! [V_R_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_R_2) % 159.04/158.73 => c_Wellfounded_OwfP(T_a,c_FunDef_Oin__rel(T_a,T_a,V_R_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wfP__wf__eq,axiom, % 159.04/158.73 ! [V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_OwfP(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)) % 159.04/158.73 <=> c_Wellfounded_Owf(T_a,V_r_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wfP__acyclicP,axiom, % 159.04/158.73 ! [V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_OwfP(T_a,V_r_2) % 159.04/158.73 => c_Wellfounded_Oacyclic(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Rep__Integ__induct,axiom, % 159.04/158.73 ! [V_P_2,V_y_2] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 159.04/158.73 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Int_ORep__Integ,B_x))) % 159.04/158.73 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__acyclic,axiom, % 159.04/158.73 ! [V_r_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_acyclic__subset,axiom, % 159.04/158.73 ! [V_r_2,V_s_2,T_a] : % 159.04/158.73 ( c_Wellfounded_Oacyclic(T_a,V_s_2) % 159.04/158.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) % 159.04/158.73 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_finite__acyclic__wf,axiom, % 159.04/158.73 ! [V_r_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2)) % 159.04/158.73 => ( c_Wellfounded_Oacyclic(T_a,V_r_2) % 159.04/158.73 => c_Wellfounded_Owf(T_a,V_r_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wf__iff__acyclic__if__finite,axiom, % 159.04/158.73 ! [V_r_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2)) % 159.04/158.73 => ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.73 <=> c_Wellfounded_Oacyclic(T_a,V_r_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Nitpick_Owf_H__def,axiom, % 159.04/158.73 ! [V_r_2,T_a] : % 159.04/158.73 ( c_Nitpick_Owf_H(T_a,V_r_2) % 159.04/158.73 <=> ( c_Wellfounded_Oacyclic(T_a,V_r_2) % 159.04/158.73 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2)) % 159.04/158.73 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Rep__Integ__cases,axiom, % 159.04/158.73 ! [V_y_2] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 159.04/158.73 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_inj__on__INTER,axiom, % 159.04/158.73 ! [V_A_2,V_f_2,T_c,T_b,T_a,V_I_2] : % 159.04/158.73 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 => ( ! [B_i] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_I_2)) % 159.04/158.73 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(V_A_2,B_i)) ) % 159.04/158.73 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_zip__obtain__same__length,axiom, % 159.04/158.73 ! [V_P_2,V_ys_2,T_b,V_xs_2,T_a] : % 159.04/158.73 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_xs_2)) = 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_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_ys_2)) % 159.04/158.73 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_xs_2)),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_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_ys_2)))) ) % 159.04/158.73 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_map__of__eqI,axiom, % 159.04/158.73 ! [V_ys_2,V_xs_2,T_b,T_a] : % 159.04/158.73 ( hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2)) = hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_ys_2)) % 159.04/158.73 => ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2)))) % 159.04/158.73 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2),B_x) = hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2),B_x) ) % 159.04/158.73 => hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2) = hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Abs__Integ__induct,axiom, % 159.04/158.73 ! [V_x_2,V_P_2] : % 159.04/158.73 ( ! [B_y] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) % 159.04/158.73 => hBOOL(hAPP(V_P_2,hAPP(c_Int_OAbs__Integ,B_y))) ) % 159.04/158.73 => hBOOL(hAPP(V_P_2,V_x_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Abs__Integ__cases,axiom, % 159.04/158.73 ! [V_x_2] : % 159.04/158.73 ~ ! [B_y] : % 159.04/158.73 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y) % 159.04/158.73 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wfP__SUP,axiom, % 159.04/158.73 ! [T_a,V_r_2,T_b] : % 159.04/158.73 ( ! [B_i] : c_Wellfounded_OwfP(T_b,hAPP(V_r_2,B_i)) % 159.04/158.73 => ( ! [B_i,B_j] : % 159.04/158.73 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j) % 159.04/158.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Predicate_ODomainP(T_b,T_b,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_b,T_b,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 159.04/158.73 => c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2)) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_dropWhile__append2,axiom, % 159.04/158.73 ! [V_ys_2,V_P_2,V_xs_2,T_a] : % 159.04/158.73 ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => hBOOL(hAPP(V_P_2,B_x)) ) % 159.04/158.73 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_a,V_P_2,V_ys_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__all2__all__nthI,axiom, % 159.04/158.73 ! [V_P_2,V_b_2,T_b,V_a_2,T_a] : % 159.04/158.73 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_b_2) % 159.04/158.73 => ( ! [B_n] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2))) % 159.04/158.73 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_b_2),B_n))) ) % 159.04/158.73 => c_List_Olist__all2(T_a,T_b,V_P_2,V_a_2,V_b_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_mem__splitI2,axiom, % 159.04/158.73 ! [V_ca_2,V_z_2,T_c,T_b,T_a,V_p_2] : % 159.04/158.73 ( ! [B_a,B_b] : % 159.04/158.73 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(hAPP(V_ca_2,B_a),B_b))) ) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_c,tc_HOL_Obool)),V_ca_2),V_p_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_mem__splitE,axiom, % 159.04/158.73 ! [V_p_2,V_ca_2,T_c,T_b,V_z_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_a,tc_HOL_Obool)),V_ca_2),V_p_2))) % 159.04/158.73 => ~ ! [B_x,B_y] : % 159.04/158.73 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) % 159.04/158.73 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(V_ca_2,B_x),B_y))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_finite__sorted__distinct__unique,axiom, % 159.04/158.73 ! [V_A_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.73 => ? [B_x] : % 159.04/158.73 ( hAPP(c_List_Oset(T_a),B_x) = V_A_2 % 159.04/158.73 & c_List_Olinorder__class_Osorted(T_a,B_x) % 159.04/158.73 & hBOOL(hAPP(c_List_Odistinct(T_a),B_x)) % 159.04/158.73 & ! [B_y] : % 159.04/158.73 ( ( hAPP(c_List_Oset(T_a),B_y) = V_A_2 % 159.04/158.73 & c_List_Olinorder__class_Osorted(T_a,B_y) % 159.04/158.73 & hBOOL(hAPP(c_List_Odistinct(T_a),B_y)) ) % 159.04/158.73 => B_y = B_x ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_takeWhile__append2,axiom, % 159.04/158.73 ! [V_ys_2,V_P_2,V_xs_2,T_a] : % 159.04/158.73 ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => hBOOL(hAPP(V_P_2,B_x)) ) % 159.04/158.73 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_OtakeWhile(T_a,V_P_2,V_ys_2)) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_insort__is__Cons,axiom, % 159.04/158.73 ! [V_a_2,V_f_2,V_xs_2,T_a,T_b] : % 159.04/158.73 ( class_Orderings_Olinorder(T_b) % 159.04/158.73 => ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) ) % 159.04/158.73 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_xs_2) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_wfI__pf,axiom, % 159.04/158.73 ! [V_R_2,T_a] : % 159.04/158.73 ( ! [B_A] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_a,T_a,V_R_2),B_A))) % 159.04/158.73 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) % 159.04/158.73 => c_Wellfounded_Owf(T_a,V_R_2) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Cons__eq__filter__iff,axiom, % 159.04/158.73 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_a] : % 159.04/158.73 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_a,V_P_2),V_ys_2) % 159.04/158.73 <=> ? [B_us,B_vs] : % 159.04/158.73 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_vs)) % 159.04/158.73 & ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),B_us))) % 159.04/158.73 => ~ hBOOL(hAPP(V_P_2,B_x)) ) % 159.04/158.73 & hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.73 & V_xs_2 = hAPP(c_List_Ofilter(T_a,V_P_2),B_vs) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_filter__eq__Cons__iff,axiom, % 159.04/158.73 ! [V_xs_2,V_x_2,V_ys_2,V_P_2,T_a] : % 159.04/158.73 ( hAPP(c_List_Ofilter(T_a,V_P_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) % 159.04/158.73 <=> ? [B_us,B_vs] : % 159.04/158.73 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_vs)) % 159.04/158.73 & ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),B_us))) % 159.04/158.73 => ~ hBOOL(hAPP(V_P_2,B_x)) ) % 159.04/158.73 & hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.73 & V_xs_2 = hAPP(c_List_Ofilter(T_a,V_P_2),B_vs) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_Sigma__mono,axiom, % 159.04/158.73 ! [V_D_2,V_B_2,T_b,V_C_2,V_A_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) % 159.04/158.73 => ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) ) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_C_2),V_D_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_acc_OaccI,axiom, % 159.04/158.73 ! [V_r_2,V_x_2,T_a] : % 159.04/158.73 ( ! [B_y] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_x_2)),V_r_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(T_a),B_y),c_Wellfounded_Oacc(T_a,V_r_2))) ) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_not__acc__down,axiom, % 159.04/158.73 ! [V_R_2,V_x_2,T_a] : % 159.04/158.73 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_R_2))) % 159.04/158.73 => ~ ! [B_z] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_x_2)),V_R_2)) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_member(T_a),B_z),c_Wellfounded_Oacc(T_a,V_R_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_max__ext_Osimps,axiom, % 159.04/158.73 ! [V_R_2,V_a2_2,V_a1_2,T_a] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) % 159.04/158.73 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a1_2)) % 159.04/158.73 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a2_2)) % 159.04/158.73 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) % 159.04/158.73 & ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a1_2)) % 159.04/158.73 => ? [B_xa] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_a2_2)) % 159.04/158.73 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_R_2)) ) ) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_list__ball__nth,axiom, % 159.04/158.73 ! [V_P_2,V_xs_2,T_a,V_n_2] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.04/158.73 => ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => hBOOL(hAPP(V_P_2,B_x)) ) % 159.04/158.73 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2))) ) ) ). % 159.04/158.73 % 159.04/158.73 fof(fact_sorted_OCons,axiom, % 159.04/158.73 ! [V_x_2,V_xs_2,T_a] : % 159.04/158.73 ( class_Orderings_Olinorder(T_a) % 159.04/158.73 => ( ! [B_x] : % 159.04/158.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) % 159.04/158.74 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2) % 159.04/158.74 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_InterI,axiom, % 159.04/158.74 ! [V_A_2,V_C_2,T_a] : % 159.04/158.74 ( ! [B_X] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_C_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),B_X)) ) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_wf__no__infinite__down__chainE,axiom, % 159.04/158.74 ! [V_f_2,V_r_2,T_a] : % 159.04/158.74 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.74 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_list__ex__length,axiom, % 159.04/158.74 ! [V_xs_2,V_P_2,T_a] : % 159.04/158.74 ( c_List_Olist__ex(T_a,V_P_2,V_xs_2) % 159.04/158.74 <=> ? [B_n] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.04/158.74 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_setsum__reindex__cong,axiom, % 159.04/158.74 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] : % 159.04/158.74 ( class_Groups_Ocomm__monoid__add(T_c) % 159.04/158.74 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) % 159.04/158.74 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) % 159.04/158.74 => ( ! [B_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2)) % 159.04/158.74 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) ) % 159.04/158.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_list__ex__simps_I2_J,axiom, % 159.04/158.74 ! [V_P_2,T_a] : ~ c_List_Olist__ex(T_a,V_P_2,c_List_Olist_ONil(T_a)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_list__ex__append,axiom, % 159.04/158.74 ! [V_ys_2,V_xs_2,V_P_2,T_a] : % 159.04/158.74 ( c_List_Olist__ex(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) % 159.04/158.74 <=> ( c_List_Olist__ex(T_a,V_P_2,V_xs_2) % 159.04/158.74 | c_List_Olist__ex(T_a,V_P_2,V_ys_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_list__ex__rev,axiom, % 159.04/158.74 ! [V_xs_2,V_P_2,T_a] : % 159.04/158.74 ( c_List_Olist__ex(T_a,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2)) % 159.04/158.74 <=> c_List_Olist__ex(T_a,V_P_2,V_xs_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_list__ex__iff,axiom, % 159.04/158.74 ! [V_xs_2,V_P_2,T_a] : % 159.04/158.74 ( c_List_Olist__ex(T_a,V_P_2,V_xs_2) % 159.04/158.74 <=> ? [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.74 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_list__ex__simps_I1_J,axiom, % 159.04/158.74 ! [V_xs_2,V_x_2,V_P_2,T_a] : % 159.04/158.74 ( c_List_Olist__ex(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) % 159.04/158.74 <=> ( hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.74 | c_List_Olist__ex(T_a,V_P_2,V_xs_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_scomp__unfold,axiom, % 159.04/158.74 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),hAPP(V_f_2,V_x_2))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_setsum__ivl__cong,axiom, % 159.04/158.74 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_ca_2,V_a_2,T_a,T_b] : % 159.04/158.74 ( ( class_Groups_Ocomm__monoid__add(T_b) % 159.04/158.74 & class_Orderings_Oord(T_a) ) % 159.04/158.74 => ( V_a_2 = V_ca_2 % 159.04/158.74 => ( V_b_2 = V_d_2 % 159.04/158.74 => ( ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),B_x)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_d_2)) % 159.04/158.74 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) % 159.04/158.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)) ) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Pair__scomp,axiom, % 159.04/158.74 ! [V_f_2,V_x_2,T_b,T_c,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_c,T_a,T_b),hAPP(c_Product__Type_OPair(T_c,T_a),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_scomp__Pair,axiom, % 159.04/158.74 ! [V_x_2,T_c,T_b,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_b,T_c,tc_prod(T_b,T_c)),V_x_2),c_Product__Type_OPair(T_b,T_c)) = V_x_2 ). % 159.04/158.74 % 159.04/158.74 fof(fact_scomp__scomp,axiom, % 159.04/158.74 ! [V_h_2,V_g_2,V_f_2,T_f,T_e,T_b,T_d,T_c,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_c,T_d,T_b),hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_e,T_f,tc_prod(T_c,T_d)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_e,T_f,T_b),V_f_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(T_c,tc_fun(T_d,T_b)),tc_fun(T_f,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_c,tc_fun(T_d,T_b)),tc_fun(T_f,T_b)),T_e),c_Product__Type_Oscomp(T_f,T_c,T_d,T_b)),V_g_2)),V_h_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_scomp__def,axiom, % 159.04/158.74 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_a),V_g_2),hAPP(V_f_2,V_x_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_scomp__apply,axiom, % 159.04/158.74 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_a),V_g_2),hAPP(V_f_2,V_x_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_iterate_Osimps,axiom, % 159.04/158.74 ! [V_x_2,V_f_2,T_a,T_b,V_k_2] : % 159.04/158.74 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 159.04/158.74 => hAPP(c_Random_Oiterate(T_b,T_a,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2) ) % 159.04/158.74 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 159.04/158.74 => hAPP(c_Random_Oiterate(T_b,T_a,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_b,T_a,tc_prod(T_b,T_a)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_b,T_a,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)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_less__eq,axiom, % 159.04/158.74 ! [V_n_2,V_m_2] : % 159.04/158.74 ( 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))) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_wf__trancl,axiom, % 159.04/158.74 ! [V_r_2,T_a] : % 159.04/158.74 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.74 => c_Wellfounded_Owf(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_less__than__def,axiom, % 159.04/158.74 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 159.04/158.74 % 159.04/158.74 fof(fact_acyclic__def,axiom, % 159.04/158.74 ! [V_r_2,T_a] : % 159.04/158.74 ( c_Wellfounded_Oacyclic(T_a,V_r_2) % 159.04/158.74 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl_Or__into__trancl,axiom, % 159.04/158.74 ! [V_r_2,V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__subset__Field2,axiom, % 159.04/158.74 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_Relation_OField(T_a),V_r_2))))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_r__into__trancl_H,axiom, % 159.04/158.74 ! [V_r_2,V_p_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__empty,axiom, % 159.04/158.74 ! [T_a] : c_Transitive__Closure_Otrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__domain,axiom, % 159.04/158.74 ! [V_r_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) = hAPP(c_Relation_ODomain(T_a,T_a),V_r_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__range,axiom, % 159.04/158.74 ! [V_r_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) = hAPP(c_Relation_ORange(T_a,T_a),V_r_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_finite__trancl,axiom, % 159.04/158.74 ! [V_r_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 159.04/158.74 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_r__r__into__trancl,axiom, % 159.04/158.74 ! [V_ca_2,V_R_2,V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_R_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_R_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__into__trancl2,axiom, % 159.04/158.74 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom, % 159.04/158.74 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_r_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__trans,axiom, % 159.04/158.74 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__mono,axiom, % 159.04/158.74 ! [V_s_2,V_r_2,V_p_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_s_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__unfold,axiom, % 159.04/158.74 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_r_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__subset__Sigma,axiom, % 159.04/158.74 ! [V_A_2,V_r_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__Int__subset,axiom, % 159.04/158.74 ! [V_s_2,V_r_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_s_2)),V_r_2)),V_s_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_s_2)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_log_Osimps,axiom, % 159.04/158.74 ! [V_i,V_b] : % 159.04/158.74 ( ( ( 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))) % 159.04/158.74 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 159.04/158.74 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 159.04/158.74 & ( ~ ( 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))) % 159.04/158.74 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 159.04/158.74 => 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))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_minus__shift__def,axiom, % 159.04/158.74 ! [V_r,V_l,V_k] : % 159.04/158.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 159.04/158.74 => 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) ) % 159.04/158.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 159.04/158.74 => 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) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_inc__shift__def,axiom, % 159.04/158.74 ! [V_k,V_v] : % 159.04/158.74 ( ( V_v = V_k % 159.04/158.74 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 159.04/158.74 & ( V_v != V_k % 159.04/158.74 => 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)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_select,axiom, % 159.04/158.74 ! [V_s_2,T_a,V_xs_2] : % 159.04/158.74 ( V_xs_2 != c_List_Olist_ONil(T_a) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Product__Type_Ofst(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_a,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_select__weight__member,axiom, % 159.04/158.74 ! [V_s_2,V_xs_2,T_a] : % 159.04/158.74 ( 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_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Product__Type_Ofst(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_a,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),T_a),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_select__weigth__select,axiom, % 159.04/158.74 ! [T_a,V_xs_2] : % 159.04/158.74 ( V_xs_2 != c_List_Olist_ONil(T_a) % 159.04/158.74 => c_Random_Oselect__weight(T_a,hAPP(hAPP(c_List_Omap(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_a,V_xs_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_select__weight__cons__zero,axiom, % 159.04/158.74 ! [V_xs_2,V_x_2,T_a] : c_Random_Oselect__weight(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_a,V_xs_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_select__weigth__drop__zero,axiom, % 159.04/158.74 ! [V_xs_2,T_a] : c_Random_Oselect__weight(T_a,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_a)),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_a,V_xs_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_pick__member,axiom, % 159.04/158.74 ! [V_xs_2,T_a,V_i_2] : % 159.04/158.74 ( 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_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Random_Opick(T_a,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),T_a),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_pick_Osimps,axiom, % 159.04/158.74 ! [V_xs,V_x,T_a,V_i] : % 159.04/158.74 ( ( 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))) % 159.04/158.74 => 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) ) % 159.04/158.74 & ( ~ 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))) % 159.04/158.74 => 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))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_pick__drop__zero,axiom, % 159.04/158.74 ! [V_xs_2,T_a] : c_Random_Opick(T_a,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_a)),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_a,V_xs_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_select__weight__def,axiom, % 159.04/158.74 ! [V_xs_2,T_a] : c_Random_Oselect__weight(T_a,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_a,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_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_a,V_xs_2))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_pick__same,axiom, % 159.04/158.74 ! [V_xs_2,T_a,V_l_2] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.04/158.74 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Omap(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),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_a),V_xs_2),V_l_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_code__numeral_Oof__nat__inject,axiom, % 159.04/158.74 ! [V_y_2,V_x_2] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 159.04/158.74 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2) % 159.04/158.74 <=> V_x_2 = V_y_2 ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_zero__code__numeral__def,axiom, % 159.04/158.74 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_times__code__numeral__code,axiom, % 159.04/158.74 ! [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)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Code__Numeral_Oof__nat__inject,axiom, % 159.04/158.74 ! [V_m_2,V_n_2] : % 159.04/158.74 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2) % 159.04/158.74 <=> V_n_2 = V_m_2 ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Code__Numeral_Oof__nat__code,axiom, % 159.04/158.74 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(fact_one__code__numeral__def,axiom, % 159.04/158.74 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_number__of__code__numeral__def,axiom, % 159.04/158.74 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) ). % 159.04/158.74 % 159.04/158.74 fof(fact_less__eq__code__numeral__code,axiom, % 159.04/158.74 ! [V_m_2,V_n_2] : % 159.04/158.74 ( 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))) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_plus__code__numeral__code,axiom, % 159.04/158.74 ! [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)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_less__code__numeral__code,axiom, % 159.04/158.74 ! [V_m_2,V_n_2] : % 159.04/158.74 ( 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))) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_code__numeral__not__eq__zero,axiom, % 159.04/158.74 ! [V_i_2] : % 159.04/158.74 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 159.04/158.74 <=> 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)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_range,axiom, % 159.04/158.74 ! [V_s,V_k] : % 159.04/158.74 ( 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)) % 159.04/158.74 => 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)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_select__def,axiom, % 159.04/158.74 ! [V_xs_2,T_a] : c_Random_Oselect(T_a,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_a,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_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_a),V_xs_2)),c_Code__Numeral_Onat__of))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__insert,axiom, % 159.04/158.74 ! [V_r_2,V_x_2,V_y_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a))),hAPP(hAPP(c_COMBC(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),V_y_2))),c_Transitive__Closure_Ortrancl(T_a,V_r_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a))),hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2))),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_r__into__rtrancl,axiom, % 159.04/158.74 ! [V_r_2,V_p_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl_Ortrancl__refl,axiom, % 159.04/158.74 ! [V_r_2,V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__into__rtrancl,axiom, % 159.04/158.74 ! [V_r_2,V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_listrel__rtrancl__refl,axiom, % 159.04/158.74 ! [V_r_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_xs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__listrel1__ConsI2,axiom, % 159.04/158.74 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_type__definition__code__numeral,axiom, % 159.04/158.74 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))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_times__code__numeral__def,axiom, % 159.04/158.74 ! [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))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_nat__of__of__nat,axiom, % 159.04/158.74 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ). % 159.04/158.74 % 159.04/158.74 fof(fact_of__nat__nat__of,axiom, % 159.04/158.74 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ). % 159.04/158.74 % 159.04/158.74 fof(fact_nat__of__inverse,axiom, % 159.04/158.74 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__trans,axiom, % 159.04/158.74 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom, % 159.04/158.74 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_r_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converse__rtrancl__into__rtrancl,axiom, % 159.04/158.74 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__eq__or__trancl,axiom, % 159.04/158.74 ! [V_R_2,V_y_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) % 159.04/158.74 <=> ( V_x_2 = V_y_2 % 159.04/158.74 | ( V_x_2 != V_y_2 % 159.04/158.74 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__into__trancl2,axiom, % 159.04/158.74 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtranclD,axiom, % 159.04/158.74 ! [V_R_2,V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) % 159.04/158.74 => ( V_a_2 = V_b_2 % 159.04/158.74 | ( V_a_2 != V_b_2 % 159.04/158.74 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__into__trancl1,axiom, % 159.04/158.74 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_r_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__rtrancl__trancl,axiom, % 159.04/158.74 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__trancl__trancl,axiom, % 159.04/158.74 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Image__closed__trancl,axiom, % 159.04/158.74 ! [V_X_2,V_r_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),V_X_2)),V_X_2)) % 159.04/158.74 => hAPP(c_Relation_OImage(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_X_2) = V_X_2 ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__Un__subset,axiom, % 159.04/158.74 ! [V_S_2,V_R_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2))),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__subset__rtrancl,axiom, % 159.04/158.74 ! [V_s_2,V_r_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_s_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_s_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__subset,axiom, % 159.04/158.74 ! [V_S_2,V_R_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) % 159.04/158.74 => c_Transitive__Closure_Ortrancl(T_a,V_S_2) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__mono,axiom, % 159.04/158.74 ! [V_s_2,V_r_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_s_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_less__code__numeral__def,axiom, % 159.04/158.74 ! [V_m_2,V_n_2] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 159.04/158.74 <=> 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))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom, % 159.04/158.74 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_int__of__def,axiom, % 159.04/158.74 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) ). % 159.04/158.74 % 159.04/158.74 fof(fact_code__numeral_Onat__of__inject,axiom, % 159.04/158.74 ! [V_y_2,V_x_2] : % 159.04/158.74 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2) % 159.04/158.74 <=> V_x_2 = V_y_2 ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Code__Numeral_Onat__of__inject,axiom, % 159.04/158.74 ! [V_l_2,V_k_2] : % 159.04/158.74 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2) % 159.04/158.74 <=> V_k_2 = V_l_2 ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom, % 159.04/158.74 ! [V_r_2,T_a] : c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_nat__of,axiom, % 159.04/158.74 ! [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)))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_nat__of__number,axiom, % 159.04/158.74 ! [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) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Domain__rtrancl,axiom, % 159.04/158.74 ! [V_R_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Range__rtrancl,axiom, % 159.04/158.74 ! [V_R_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_refl__rtrancl,axiom, % 159.04/158.74 ! [V_r_2,T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__idemp,axiom, % 159.04/158.74 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_in__rtrancl__UnI,axiom, % 159.04/158.74 ! [V_S_2,V_R_2,V_x_2,T_a] : % 159.04/158.74 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) % 159.04/158.74 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_S_2))) ) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__Un__rtrancl,axiom, % 159.04/158.74 ! [V_S_2,V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2))) = c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__idemp__self__comp,axiom, % 159.04/158.74 ! [V_R_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_r__comp__rtrancl__eq,axiom, % 159.04/158.74 ! [V_r_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__unfold__left,axiom, % 159.04/158.74 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__unfold__right,axiom, % 159.04/158.74 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__trancl__absorb,axiom, % 159.04/158.74 ! [V_R_2,T_a] : c_Transitive__Closure_Otrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__rtrancl__absorb,axiom, % 159.04/158.74 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Otrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_listrel__rtrancl__trans,axiom, % 159.04/158.74 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_ys_2),V_zs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_zs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_less__eq__code__numeral__def,axiom, % 159.04/158.74 ! [V_m_2,V_n_2] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 159.04/158.74 <=> 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))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_nat__of__code,axiom, % 159.04/158.74 ! [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)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_nat__of__aux__def,axiom, % 159.04/158.74 ! [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) ). % 159.04/158.74 % 159.04/158.74 fof(fact_listrel__subset__rtrancl__listrel1,axiom, % 159.04/158.74 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Not__Domain__rtrancl,axiom, % 159.04/158.74 ! [V_y_2,V_R_2,V_x_2,T_a] : % 159.04/158.74 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_Relation_ODomain(T_a,T_a),V_R_2))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) % 159.04/158.74 <=> V_x_2 = V_y_2 ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_acc__downwards,axiom, % 159.04/158.74 ! [V_b_2,V_r_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_acc__downwards__aux,axiom, % 159.04/158.74 ! [V_r_2,V_a_2,V_b_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_wf__insert,axiom, % 159.04/158.74 ! [V_r_2,V_x_2,V_y_2,T_a] : % 159.04/158.74 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2)) % 159.04/158.74 <=> ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.74 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__listrel1__ConsI1,axiom, % 159.04/158.74 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__listrel1__eq__len,axiom, % 159.04/158.74 ! [V_r_2,V_y_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) % 159.04/158.74 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_acyclic__insert,axiom, % 159.04/158.74 ! [V_r_2,V_x_2,V_y_2,T_a] : % 159.04/158.74 ( c_Wellfounded_Oacyclic(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2)) % 159.04/158.74 <=> ( c_Wellfounded_Oacyclic(T_a,V_r_2) % 159.04/158.74 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_listrel__reflcl__if__listrel1,axiom, % 159.04/158.74 ! [V_r_2,V_ys_2,V_xs_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__listrel1__if__listrel,axiom, % 159.04/158.74 ! [V_r_2,V_ys_2,V_xs_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Suc__code__numeral__def,axiom, % 159.04/158.74 ! [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))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_minus__code__numeral__def,axiom, % 159.04/158.74 ! [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))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_of__nat__inverse,axiom, % 159.04/158.74 ! [V_y_2] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 159.04/158.74 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_plus__code__numeral__def,axiom, % 159.04/158.74 ! [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))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_div__code__numeral__def,axiom, % 159.04/158.74 ! [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))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_pred__nat__trancl__eq__le,axiom, % 159.04/158.74 ! [V_n_2,V_m_2] : % 159.04/158.74 ( 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))) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_mod__code__numeral__def,axiom, % 159.04/158.74 ! [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))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__subset__Sigma__aux,axiom, % 159.04/158.74 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) % 159.04/158.74 => ( V_a_2 = V_b_2 % 159.04/158.74 | hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_code__numeral__decr,axiom, % 159.04/158.74 ! [V_k] : % 159.04/158.74 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 159.04/158.74 => 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))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_subtract__code__numeral__code,axiom, % 159.04/158.74 ! [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)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_New__DSequence_Opos__not__seq__def,axiom, % 159.04/158.74 ! [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))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_subtract__code__numeral__def,axiom, % 159.04/158.74 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(fact_minus__code__numeral__code,axiom, % 159.04/158.74 ! [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) ). % 159.04/158.74 % 159.04/158.74 fof(fact_irrefl__tranclI,axiom, % 159.04/158.74 ! [V_x_2,V_r_2,T_a] : % 159.04/158.74 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) % 159.04/158.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_sequence__trans,axiom, % 159.04/158.74 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_a] : % 159.04/158.74 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),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_a,V_r_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__converseD,axiom, % 159.04/158.74 ! [V_r_2,V_y_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__converseI,axiom, % 159.04/158.74 ! [V_r_2,V_x_2,V_y_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__converse,axiom, % 159.04/158.74 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__converseI,axiom, % 159.04/158.74 ! [V_r_2,V_y_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__converseD,axiom, % 159.04/158.74 ! [V_r_2,V_y_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_in__listrel1__converse,axiom, % 159.04/158.74 ! [V_r_2,V_y_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olistrel1(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel1(T_a,V_r_2)))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converse__iff,axiom, % 159.04/158.74 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),V_r_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converseI,axiom, % 159.04/158.74 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converseD,axiom, % 159.04/158.74 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),V_r_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_acyclic__converse,axiom, % 159.04/158.74 ! [V_r_2,T_a] : % 159.04/158.74 ( c_Wellfounded_Oacyclic(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) % 159.04/158.74 <=> c_Wellfounded_Oacyclic(T_a,V_r_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converse__UNION,axiom, % 159.04/158.74 ! [V_r_2,V_S_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_c),c_Relation_Oconverse(T_b,T_a)),V_r_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converse__rel__comp,axiom, % 159.04/158.74 ! [V_s_2,V_r_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_a),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_a),V_s_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_equiv__comp__eq,axiom, % 159.04/158.74 ! [V_r_2,V_A_2,T_a] : % 159.04/158.74 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) % 159.04/158.74 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2) = V_r_2 ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converse__Un,axiom, % 159.04/158.74 ! [V_s_2,V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_s_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converse__INTER,axiom, % 159.04/158.74 ! [V_r_2,V_S_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_c),c_Relation_Oconverse(T_b,T_a)),V_r_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Field__converse,axiom, % 159.04/158.74 ! [V_r_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_OField(T_a),V_r_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converse__converse,axiom, % 159.04/158.74 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2)) = V_r_2 ). % 159.04/158.74 % 159.04/158.74 fof(fact_converse__Id__on,axiom, % 159.04/158.74 ! [V_A_2,T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = c_Relation_OId__on(T_a,V_A_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_finite__converse,axiom, % 159.04/158.74 ! [V_r_2,T_b,T_a] : % 159.04/158.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))) % 159.04/158.74 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_a)),V_r_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_listrel1__converse,axiom, % 159.04/158.74 ! [V_r_2,T_a] : c_List_Olistrel1(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel1(T_a,V_r_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_refl__on__converse,axiom, % 159.04/158.74 ! [V_r_2,V_A_2,T_a] : % 159.04/158.74 ( c_Relation_Orefl__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) % 159.04/158.74 <=> c_Relation_Orefl__on(T_a,V_A_2,V_r_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converse__Int,axiom, % 159.04/158.74 ! [V_s_2,V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_s_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converse__inv__image,axiom, % 159.04/158.74 ! [V_f_2,V_R_2,T_b,T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),hAPP(c_Relation_Oconverse(T_b,T_b),V_R_2)),V_f_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Range__def,axiom, % 159.04/158.74 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),V_r_2) = hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Domain__converse,axiom, % 159.04/158.74 ! [V_r_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)) = hAPP(c_Relation_ORange(T_b,T_a),V_r_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Range__converse,axiom, % 159.04/158.74 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2)) = hAPP(c_Relation_ODomain(T_a,T_b),V_r_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__converse,axiom, % 159.04/158.74 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_wf__converse__trancl,axiom, % 159.04/158.74 ! [V_r_2,T_a] : % 159.04/158.74 ( c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) % 159.04/158.74 => c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Image__subset__eq,axiom, % 159.04/158.74 ! [V_B_2,V_A_2,V_r_2,T_b,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2)),V_B_2)) % 159.04/158.74 <=> 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)),hAPP(c_Relation_OImage(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2))))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_refl__on__comp__subset,axiom, % 159.04/158.74 ! [V_r_2,V_A_2,T_a] : % 159.04/158.74 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_comp__equivI,axiom, % 159.04/158.74 ! [V_A_2,V_r_2,T_a] : % 159.04/158.74 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2) = V_r_2 % 159.04/158.74 => ( hAPP(c_Relation_ODomain(T_a,T_a),V_r_2) = V_A_2 % 159.04/158.74 => c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_finite__acyclic__wf__converse,axiom, % 159.04/158.74 ! [V_r_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2)) % 159.04/158.74 => ( c_Wellfounded_Oacyclic(T_a,V_r_2) % 159.04/158.74 => c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converse__def,axiom, % 159.04/158.74 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_a),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_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_a)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_a)))),hAPP(c_COMBC(T_b,T_a,tc_prod(T_b,T_a)),c_Product__Type_OPair(T_b,T_a))))),V_r_2))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Image__INT__eq,axiom, % 159.04/158.74 ! [V_B_2,T_c,V_A_2,V_r_2,T_b,T_a] : % 159.04/158.74 ( c_Relation_Osingle__valued(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)) % 159.04/158.74 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 159.04/158.74 => hAPP(c_Relation_OImage(T_b,T_a,V_r_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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_reflcl__set__eq,axiom, % 159.04/158.74 ! [V_y_2,V_x_2,V_r_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),c_fequal),V_x_2),V_y_2)) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a)))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_IdI,axiom, % 159.04/158.74 ! [V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),c_Relation_OId(T_a))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converse__Id,axiom, % 159.04/158.74 ! [T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId(T_a)) = c_Relation_OId(T_a) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Domain__Id,axiom, % 159.04/158.74 ! [T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Relation_OId(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Range__Id,axiom, % 159.04/158.74 ! [T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Relation_OId(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_refl__Id,axiom, % 159.04/158.74 ! [T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Relation_OId(T_a)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_single__valued__Id,axiom, % 159.04/158.74 ! [T_a] : c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId(T_a)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Image__Id,axiom, % 159.04/158.74 ! [V_A_2,T_a] : hAPP(c_Relation_OImage(T_a,T_a,c_Relation_OId(T_a)),V_A_2) = V_A_2 ). % 159.04/158.74 % 159.04/158.74 fof(fact_single__valued__Id__on,axiom, % 159.04/158.74 ! [V_A_2,T_a] : c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Id__O__R,axiom, % 159.04/158.74 ! [V_R_2,T_b,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_b),c_Relation_OId(T_a)),V_R_2) = V_R_2 ). % 159.04/158.74 % 159.04/158.74 fof(fact_R__O__Id,axiom, % 159.04/158.74 ! [V_R_2,T_b,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_b),V_R_2),c_Relation_OId(T_b)) = V_R_2 ). % 159.04/158.74 % 159.04/158.74 fof(fact_single__valued__rel__comp,axiom, % 159.04/158.74 ! [V_s_2,T_c,V_r_2,T_b,T_a] : % 159.04/158.74 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2) % 159.04/158.74 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2) % 159.04/158.74 => c_Relation_Osingle__valued(T_a,T_c,hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_single__valued__subset,axiom, % 159.04/158.74 ! [V_s_2,V_r_2,T_b,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 159.04/158.74 => ( c_Relation_Osingle__valued(T_a,T_b,V_s_2) % 159.04/158.74 => c_Relation_Osingle__valued(T_a,T_b,V_r_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_pair__in__Id__conv,axiom, % 159.04/158.74 ! [V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Relation_OId(T_a))) % 159.04/158.74 <=> V_a_2 = V_b_2 ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__reflcl,axiom, % 159.04/158.74 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__reflcl__absorb,axiom, % 159.04/158.74 ! [V_R_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Relation_OId(T_a)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__empty,axiom, % 159.04/158.74 ! [T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Relation_OId(T_a) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__r__diff__Id,axiom, % 159.04/158.74 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_single__valuedD,axiom, % 159.04/158.74 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b,T_a] : % 159.04/158.74 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),V_r_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_z_2)),V_r_2)) % 159.04/158.74 => V_y_2 = V_z_2 ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_single__valued__def,axiom, % 159.04/158.74 ! [V_r_2,T_b,T_a] : % 159.04/158.74 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2) % 159.04/158.74 <=> ! [B_x,B_y] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y)),V_r_2)) % 159.04/158.74 => ! [B_z] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_z)),V_r_2)) % 159.04/158.74 => B_y = B_z ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_pair__leq__def,axiom, % 159.04/158.74 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))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_reflcl__trancl,axiom, % 159.04/158.74 ! [V_r_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),c_Relation_OId(T_a)) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__reflcl,axiom, % 159.04/158.74 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__unfold,axiom, % 159.04/158.74 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId(T_a)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_refl__reflcl,axiom, % 159.04/158.74 ! [V_r_2,T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Id__def,axiom, % 159.04/158.74 ! [T_a] : c_Relation_OId(T_a) = hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_a,T_a)),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(tc_prod(T_a,T_a),tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_HOL_Obool)),tc_prod(T_a,T_a)),c_COMBB(tc_prod(T_a,T_a),tc_HOL_Obool,T_a)),c_fequal)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a))))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_irrefl__diff__Id,axiom, % 159.04/158.74 ! [V_r_2,T_a] : c_Relation_Oirrefl(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_single__valued__confluent,axiom, % 159.04/158.74 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_a] : % 159.04/158.74 ( c_Relation_Osingle__valued(T_a,T_a,V_r_2) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) % 159.04/158.74 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Image__Int__eq,axiom, % 159.04/158.74 ! [V_B_2,V_A_2,V_R_2,T_b,T_a] : % 159.04/158.74 ( c_Relation_Osingle__valued(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_R_2)) % 159.04/158.74 => hAPP(c_Relation_OImage(T_b,T_a,V_R_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_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__Int__subset,axiom, % 159.04/158.74 ! [V_r_2,V_s_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId(T_a)),V_s_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_s_2)),V_r_2)),V_s_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_s_2)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_total__on__diff__Id,axiom, % 159.04/158.74 ! [V_r_2,V_A_2,T_a] : % 159.04/158.74 ( c_Relation_Ototal__on(T_a,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) % 159.04/158.74 <=> c_Relation_Ototal__on(T_a,V_A_2,V_r_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__imp__UN__rel__pow,axiom, % 159.04/158.74 ! [V_R_2,V_p_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_a,T_a),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_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2)))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_total__on__converse,axiom, % 159.04/158.74 ! [V_r_2,V_A_2,T_a] : % 159.04/158.74 ( c_Relation_Ototal__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) % 159.04/158.74 <=> c_Relation_Ototal__on(T_a,V_A_2,V_r_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_relpow_Osimps_I1_J,axiom, % 159.04/158.74 ! [V_R_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_a) ). % 159.04/158.74 % 159.04/158.74 fof(fact_single__valued__rel__pow,axiom, % 159.04/158.74 ! [V_n_2,V_R_2,T_a] : % 159.04/158.74 ( c_Relation_Osingle__valued(T_a,T_a,V_R_2) % 159.04/158.74 => c_Relation_Osingle__valued(T_a,T_a,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rel__pow__0__I,axiom, % 159.04/158.74 ! [V_R_2,V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rel__pow__0__E,axiom, % 159.04/158.74 ! [V_R_2,V_y_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) % 159.04/158.74 => V_x_2 = V_y_2 ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_comp__funpow,axiom, % 159.04/158.74 ! [V_f_2,V_n_2,T_b,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_a,T_b),tc_fun(T_a,T_b)),V_n_2),c_Fun_Ocomp(T_b,T_b,T_a,V_f_2)) = c_Fun_Ocomp(T_b,T_b,T_a,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__power,axiom, % 159.04/158.74 ! [V_R_2,V_p_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) % 159.04/158.74 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_n),V_R_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rel__pow__imp__rtrancl,axiom, % 159.04/158.74 ! [V_R_2,V_n_2,V_p_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rel__pow__add,axiom, % 159.04/158.74 ! [V_R_2,V_n_2,V_m_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),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_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_total__on__empty,axiom, % 159.04/158.74 ! [V_r_2,T_a] : c_Relation_Ototal__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_r_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_funpow__swap1,axiom, % 159.04/158.74 ! [V_x_2,V_n_2,T_a,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_wf__exp,axiom, % 159.04/158.74 ! [V_R_2,V_n_2,T_a] : % 159.04/158.74 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) % 159.04/158.74 => c_Wellfounded_Owf(T_a,V_R_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rel__pow__1,axiom, % 159.04/158.74 ! [V_R_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ). % 159.04/158.74 % 159.04/158.74 fof(fact_relpow_Osimps_I2_J,axiom, % 159.04/158.74 ! [V_R_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rel__pow__commute,axiom, % 159.04/158.74 ! [V_n_2,V_R_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_funpow__mult,axiom, % 159.04/158.74 ! [V_f_2,V_m_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rel__pow__Suc__I2,axiom, % 159.04/158.74 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_R_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rel__pow__Suc__I,axiom, % 159.04/158.74 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),V_R_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_funpow_Osimps_I2_J,axiom, % 159.04/158.74 ! [V_f_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_a,T_a,T_a,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_funpow__add,axiom, % 159.04/158.74 ! [V_f_2,V_n_2,V_m_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_a,T_a,T_a,hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_funpow_Osimps_I1_J,axiom, % 159.04/158.74 ! [V_f_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_a) ). % 159.04/158.74 % 159.04/158.74 fof(fact_trancl__power,axiom, % 159.04/158.74 ! [V_R_2,V_p_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))) % 159.04/158.74 <=> ? [B_n] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 159.04/158.74 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_n),V_R_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_total__on__def,axiom, % 159.04/158.74 ! [V_r_2,V_A_2,T_a] : % 159.04/158.74 ( c_Relation_Ototal__on(T_a,V_A_2,V_r_2) % 159.04/158.74 <=> ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.74 => ! [B_xa] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2)) % 159.04/158.74 => ( B_x != B_xa % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_r_2)) % 159.04/158.74 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_xa),B_x)),V_r_2)) ) ) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__is__UN__rel__pow,axiom, % 159.04/158.74 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_a,T_a),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_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_funpow__code__def,axiom, % 159.04/158.74 ! [T_a] : c_Nat_Ofunpow(T_a) = c_Nat_Ocompow(T_a,T_a) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rel__pow__E,axiom, % 159.04/158.74 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) % 159.04/158.74 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.74 => V_x_2 != V_z_2 ) % 159.04/158.74 => ~ ! [B_y,B_m] : % 159.04/158.74 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_m),V_R_2))) % 159.04/158.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),V_R_2)) ) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rotate__def,axiom, % 159.04/158.74 ! [V_n_2,T_a] : c_List_Orotate(T_a,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_n_2),c_List_Orotate1(T_a)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rel__pow__E2,axiom, % 159.04/158.74 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) % 159.04/158.74 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.74 => V_x_2 != V_z_2 ) % 159.04/158.74 => ~ ! [B_y,B_m] : % 159.04/158.74 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2)) % 159.04/158.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_acyclicI,axiom, % 159.04/158.74 ! [V_r_2,T_a] : % 159.04/158.74 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) % 159.04/158.74 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_pos__not__random__dseq__def,axiom, % 159.04/158.74 ! [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)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__Un__separator__converseE,axiom, % 159.04/158.74 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_2)))) % 159.04/158.74 => ( ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))) % 159.04/158.74 => ! [B_y] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_Q_2)) % 159.04/158.74 => B_y = B_x ) ) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rtrancl__Un__separatorE,axiom, % 159.04/158.74 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_2)))) % 159.04/158.74 => ( ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))) % 159.04/158.74 => ! [B_y] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_Q_2)) % 159.04/158.74 => B_x = B_y ) ) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rel__pow__Suc__E,axiom, % 159.04/158.74 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 159.04/158.74 => ~ ! [B_y] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) % 159.04/158.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),V_R_2)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rel__pow__Suc__D2,axiom, % 159.04/158.74 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 159.04/158.74 => ? [B_y] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2)) % 159.04/158.74 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rel__pow__Suc__E2,axiom, % 159.04/158.74 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 159.04/158.74 => ~ ! [B_y] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2)) % 159.04/158.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_tranclD2,axiom, % 159.04/158.74 ! [V_R_2,V_y_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) % 159.04/158.74 => ? [B_z] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) % 159.04/158.74 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_y_2)),V_R_2)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_tranclD,axiom, % 159.04/158.74 ! [V_R_2,V_y_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) % 159.04/158.74 => ? [B_z] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),V_R_2)) % 159.04/158.74 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_IdE,axiom, % 159.04/158.74 ! [V_p_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Relation_OId(T_a))) % 159.04/158.74 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_nat__intermed__int__val,axiom, % 159.04/158.74 ! [V_k_2,V_f_2,V_n_2,V_m_2] : % 159.04/158.74 ( ! [B_i] : % 159.04/158.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 159.04/158.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) ) % 159.04/158.74 => 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))) ) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 159.04/158.74 => ? [B_i] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 159.04/158.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 159.04/158.74 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_in__set__conv__decomp,axiom, % 159.04/158.74 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.74 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_in__set__conv__decomp__last,axiom, % 159.04/158.74 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.74 <=> ? [B_ys,B_zs] : % 159.04/158.74 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs)) % 159.04/158.74 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),B_zs))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_in__set__conv__decomp__first,axiom, % 159.04/158.74 ! [V_xs_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.74 <=> ? [B_ys] : % 159.04/158.74 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs)) % 159.04/158.74 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),B_ys))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom, % 159.04/158.74 ! [V_x_2,V_A_2,T_a] : % 159.04/158.74 ( class_Orderings_Olinorder(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.04/158.74 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_x_2),V_A_2) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_inf__INFI__fold__inf,axiom, % 159.04/158.74 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] : % 159.04/158.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),V_B_2),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_sup__Sup__fold__sup,axiom, % 159.04/158.74 ! [V_B_2,V_A_2,T_a] : % 159.04/158.74 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_B_2),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fold__sup__insert,axiom, % 159.04/158.74 ! [V_a_2,V_b_2,V_A_2,T_a] : % 159.04/158.74 ( class_Lattices_Osemilattice__sup(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),V_A_2)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_union__fold__insert,axiom, % 159.04/158.74 ! [V_B_2,V_A_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a)),V_B_2),V_A_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_inf__Inf__fold__inf,axiom, % 159.04/158.74 ! [V_B_2,V_A_2,T_a] : % 159.04/158.74 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_B_2),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fold__image__def,axiom, % 159.04/158.74 ! [V_g_2,V_f_2,T_b,T_a] : hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_b,T_a,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),V_f_2),V_g_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_folding_Oeq__fold,axiom, % 159.04/158.74 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_s_2),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fold__def,axiom, % 159.04/158.74 ! [V_A_2,V_z_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_a,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_a,c_Finite__Set_Ofold__graph(T_b,T_a,V_f_2,V_z_2,V_A_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_min__max_Ofold__sup__insert,axiom, % 159.04/158.74 ! [V_a_2,V_b_2,V_A_2,T_a] : % 159.04/158.74 ( class_Orderings_Olinorder(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),V_A_2)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_min__max_Ofold__inf__insert,axiom, % 159.04/158.74 ! [V_a_2,V_b_2,V_A_2,T_a] : % 159.04/158.74 ( class_Orderings_Olinorder(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),V_A_2)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fold__inf__insert,axiom, % 159.04/158.74 ! [V_a_2,V_b_2,V_A_2,T_a] : % 159.04/158.74 ( class_Lattices_Osemilattice__inf(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),V_A_2)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fold__empty,axiom, % 159.04/158.74 ! [V_z_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_a,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom, % 159.04/158.74 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom, % 159.04/158.74 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_sup__SUPR__fold__sup,axiom, % 159.04/158.74 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] : % 159.04/158.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),V_B_2),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom, % 159.04/158.74 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,V_f_2),V_a_2),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm__idem_Ofold__set,axiom, % 159.04/158.74 ! [V_xs_2,V_y_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2) % 159.04/158.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_f_2),V_y_2),V_xs_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_sup__le__fold__sup,axiom, % 159.04/158.74 ! [V_b_2,V_a_2,V_A_2,T_a] : % 159.04/158.74 ( class_Lattices_Osemilattice__sup(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),V_A_2))) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fold__inf__le__inf,axiom, % 159.04/158.74 ! [V_b_2,V_a_2,V_A_2,T_a] : % 159.04/158.74 ( class_Lattices_Osemilattice__inf(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),V_b_2))) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_min__max_Ofold__inf__le__inf,axiom, % 159.04/158.74 ! [V_b_2,V_a_2,V_A_2,T_a] : % 159.04/158.74 ( class_Orderings_Olinorder(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),V_b_2))) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_min__max_Osup__le__fold__sup,axiom, % 159.04/158.74 ! [V_b_2,V_a_2,V_A_2,T_a] : % 159.04/158.74 ( class_Orderings_Olinorder(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),V_A_2))) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Sup__fold__sup,axiom, % 159.04/158.74 ! [V_A_2,T_a] : % 159.04/158.74 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),c_Orderings_Obot__class_Obot(T_a)),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Inf__fold__inf,axiom, % 159.04/158.74 ! [V_A_2,T_a] : % 159.04/158.74 ( class_Complete__Lattice_Ocomplete__lattice(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),c_Orderings_Otop__class_Otop(T_a)),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fold1__eq__fold__idem,axiom, % 159.04/158.74 ! [V_a_2,V_A_2,T_a] : % 159.04/158.74 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)),V_a_2),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom, % 159.04/158.74 ! [V_a_2,V_A_2,T_a] : % 159.04/158.74 ( class_Lattices_Olattice(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_a_2),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom, % 159.04/158.74 ! [V_a_2,V_A_2,T_a] : % 159.04/158.74 ( class_Lattices_Olattice(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_a_2),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Min_Oeq__fold__idem_H,axiom, % 159.04/158.74 ! [V_a_2,V_A_2,T_a] : % 159.04/158.74 ( class_Orderings_Olinorder(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_a_2),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Max_Oeq__fold__idem_H,axiom, % 159.04/158.74 ! [V_a_2,V_A_2,T_a] : % 159.04/158.74 ( class_Orderings_Olinorder(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_a_2),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom, % 159.04/158.74 ! [V_a_2,V_A_2,T_a] : % 159.04/158.74 ( class_Orderings_Olinorder(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_a_2),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom, % 159.04/158.74 ! [V_a_2,V_A_2,T_a] : % 159.04/158.74 ( class_Orderings_Olinorder(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_a_2),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_minus__fold__remove,axiom, % 159.04/158.74 ! [V_B_2,V_A_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2),V_A_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_folding__one_Oeq__fold_H,axiom, % 159.04/158.74 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.04/158.74 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,V_f_2),V_x_2),V_A_2) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_SUPR__fold__sup,axiom, % 159.04/158.74 ! [V_f_2,V_A_2,T_a,T_b] : % 159.04/158.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_INFI__fold__inf,axiom, % 159.04/158.74 ! [V_f_2,V_A_2,T_a,T_b] : % 159.04/158.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fold1__eq__fold,axiom, % 159.04/158.74 ! [V_a_2,V_A_2,T_a] : % 159.04/158.74 ( class_Groups_Oab__semigroup__mult(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 159.04/158.74 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)),V_a_2),V_A_2) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Sup__fin_Oeq__fold_H,axiom, % 159.04/158.74 ! [V_x_2,V_A_2,T_a] : % 159.04/158.74 ( class_Lattices_Olattice(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.04/158.74 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_x_2),V_A_2) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Inf__fin_Oeq__fold_H,axiom, % 159.04/158.74 ! [V_x_2,V_A_2,T_a] : % 159.04/158.74 ( class_Lattices_Olattice(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.04/158.74 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_x_2),V_A_2) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Min_Oeq__fold_H,axiom, % 159.04/158.74 ! [V_x_2,V_A_2,T_a] : % 159.04/158.74 ( class_Orderings_Olinorder(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.04/158.74 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_x_2),V_A_2) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Max_Oeq__fold_H,axiom, % 159.04/158.74 ! [V_x_2,V_A_2,T_a] : % 159.04/158.74 ( class_Orderings_Olinorder(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.04/158.74 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_x_2),V_A_2) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom, % 159.04/158.74 ! [V_x_2,V_A_2,T_a] : % 159.04/158.74 ( class_Orderings_Olinorder(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.04/158.74 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_x_2),V_A_2) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm_Ofold__rec,axiom, % 159.04/158.74 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm_Ofold__insert__remove,axiom, % 159.04/158.74 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm_Ofold__fun__comm,axiom, % 159.04/158.74 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm_Ofun__comp__comm,axiom, % 159.04/158.74 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 159.04/158.74 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm__insort,axiom, % 159.04/158.74 ! [T_a] : % 159.04/158.74 ( class_Orderings_Olinorder(T_a) % 159.04/158.74 => c_Finite__Set_Ofun__left__comm(T_a,tc_List_Olist(T_a),c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm_Ofun__left__comm,axiom, % 159.04/158.74 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 159.04/158.74 => 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)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom, % 159.04/158.74 ! [V_g_2,T_c,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 159.04/158.74 => c_Finite__Set_Ofun__left__comm(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm_Ofold__graph__determ,axiom, % 159.04/158.74 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_x_2)) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2)) % 159.04/158.74 => V_y_2 = V_x_2 ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm,axiom, % 159.04/158.74 ! [T_a] : % 159.04/158.74 ( class_Groups_Oab__semigroup__mult(T_a) % 159.04/158.74 => c_Finite__Set_Ofun__left__comm(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm_Ofold__equality,axiom, % 159.04/158.74 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2)) % 159.04/158.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm_Ofold__graph__fold,axiom, % 159.04/158.74 ! [V_z_2,V_A_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm_Ofold__insert,axiom, % 159.04/158.74 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm_Ofold__insert2,axiom, % 159.04/158.74 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.04/158.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm_Ofold__set__remdups,axiom, % 159.04/158.74 ! [V_xs_2,V_y_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 159.04/158.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_f_2),V_y_2),c_List_Oremdups(T_a,V_xs_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom, % 159.04/158.74 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2)) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) % 159.04/158.74 => ? [B_y_H] : % 159.04/158.74 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H) % 159.04/158.74 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom, % 159.04/158.74 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_b,T_a] : % 159.04/158.74 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_v_2)) % 159.04/158.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) % 159.04/158.74 => ~ ! [B_y] : % 159.04/158.74 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y) % 159.04/158.74 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_min__max_Ofold__sup__le__sup,axiom, % 159.04/158.74 ! [V_ca_2,V_b_2,V_A_2,T_a] : % 159.04/158.74 ( class_Orderings_Olinorder(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) ) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_ca_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b_2),V_ca_2))) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_min__max_Oinf__le__fold__inf,axiom, % 159.04/158.74 ! [V_ca_2,V_b_2,V_A_2,T_a] : % 159.04/158.74 ( class_Orderings_Olinorder(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) ) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_ca_2),V_A_2))) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_inf__le__fold__inf,axiom, % 159.04/158.74 ! [V_ca_2,V_b_2,V_A_2,T_a] : % 159.04/158.74 ( class_Lattices_Osemilattice__inf(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) ) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_ca_2),V_A_2))) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_fold__sup__le__sup,axiom, % 159.04/158.74 ! [V_ca_2,V_b_2,V_A_2,T_a] : % 159.04/158.74 ( class_Lattices_Osemilattice__sup(T_a) % 159.04/158.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) % 159.04/158.74 => ( ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) ) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_ca_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b_2),V_ca_2))) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_mod__div__decomp,axiom, % 159.04/158.74 ! [V_b,V_a,T_a] : % 159.04/158.74 ( class_Divides_Osemiring__div(T_a) % 159.04/158.74 => 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)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_wf__eq__minimal,axiom, % 159.04/158.74 ! [V_r_2,T_a] : % 159.04/158.74 ( c_Wellfounded_Owf(T_a,V_r_2) % 159.04/158.74 <=> ! [B_Q] : % 159.04/158.74 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_Q)) % 159.04/158.74 => ? [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_Q)) % 159.04/158.74 & ! [B_y] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_r_2)) % 159.04/158.74 => ~ hBOOL(hAPP(hAPP(c_member(T_a),B_y),B_Q)) ) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_transfer__nat__int__set__cong,axiom, % 159.04/158.74 ! [V_P_H_2,V_P_2] : % 159.04/158.74 ( ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 159.04/158.74 => ( hBOOL(hAPP(V_P_2,B_x)) % 159.04/158.74 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) ) % 159.04/158.74 => 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)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Int__Collect__mono,axiom, % 159.04/158.74 ! [V_Q_2,V_P_2,V_B_2,V_A_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) % 159.04/158.74 => ( ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.74 => ( hBOOL(hAPP(V_P_2,B_x)) % 159.04/158.74 => hBOOL(hAPP(V_Q_2,B_x)) ) ) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_P_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_a),V_Q_2)))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_UnionE,axiom, % 159.04/158.74 ! [V_C_2,V_A_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2))) % 159.04/158.74 => ~ ! [B_X] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),B_X)) % 159.04/158.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_C_2)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_rel__compE,axiom, % 159.04/158.74 ! [V_s_2,V_r_2,T_c,V_xz_2,T_b,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_r_2),V_s_2))) % 159.04/158.74 => ~ ! [B_x,B_y,B_z] : % 159.04/158.74 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_z) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),B_x),B_y)),V_r_2)) % 159.04/158.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),B_z)),V_s_2)) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converseE,axiom, % 159.04/158.74 ! [V_r_2,V_yx_2,T_b,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_yx_2),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))) % 159.04/158.74 => ~ ! [B_x,B_y] : % 159.04/158.74 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_y),B_x) % 159.04/158.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),B_y)),V_r_2)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Nitpick_Oplus__frac__def,axiom, % 159.04/158.74 ! [V_r_2,V_q_2,T_a] : c_Nitpick_Oplus__frac(T_a,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_a),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_a),V_q_2),hAPP(c_Nitpick_Odenom(T_a),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_a),tc_Int_Oint),c_Nitpick_Ofrac(T_a)),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_a),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_a),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_a),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_a),V_r_2)))))),c_COMBI(tc_Int_Oint))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Nitpick_Otimes__frac__def,axiom, % 159.04/158.74 ! [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))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Nitpick_Oof__frac__def,axiom, % 159.04/158.74 ! [V_q,T_a,T_b] : % 159.04/158.74 ( ( class_Rings_Oinverse(T_b) % 159.04/158.74 & class_Rings_Oring__1(T_b) ) % 159.04/158.74 => 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))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Nitpick_Oinverse__frac__def,axiom, % 159.04/158.74 ! [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)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Nitpick_Ouminus__frac__def,axiom, % 159.04/158.74 ! [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))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Nitpick_Oless__frac__def,axiom, % 159.04/158.74 ! [V_r_2,V_q_2,T_a] : % 159.04/158.74 ( c_Nitpick_Oless__frac(T_a,V_q_2,V_r_2) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),c_Nitpick_Oplus__frac(T_a,V_q_2,c_Nitpick_Ouminus__frac(T_a,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Nitpick_Oless__eq__frac__def,axiom, % 159.04/158.74 ! [V_r_2,V_q_2,T_a] : % 159.04/158.74 ( c_Nitpick_Oless__eq__frac(T_a,V_q_2,V_r_2) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),c_Nitpick_Oplus__frac(T_a,V_q_2,c_Nitpick_Ouminus__frac(T_a,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Nitpick_Onum__def,axiom, % 159.04/158.74 ! [T_a] : c_Nitpick_Onum(T_a) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_a,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_a)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Nitpick_Odenom__def,axiom, % 159.04/158.74 ! [T_a] : c_Nitpick_Odenom(T_a) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_a,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_a)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_setprod__pos,axiom, % 159.04/158.74 ! [V_f_2,V_A_2,T_a,T_b] : % 159.04/158.74 ( class_Rings_Olinordered__semidom(T_b) % 159.04/158.74 => ( ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) ) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_list__all__length,axiom, % 159.04/158.74 ! [V_xs_2,V_P_2,T_a] : % 159.04/158.74 ( c_List_Olist__all(T_a,V_P_2,V_xs_2) % 159.04/158.74 <=> ! [B_n] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) % 159.04/158.74 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_Ball__set__list__all,axiom, % 159.04/158.74 ! [V_P_2,V_xs_2,T_a] : % 159.04/158.74 ( ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.74 => hBOOL(hAPP(V_P_2,B_x)) ) % 159.04/158.74 <=> c_List_Olist__all(T_a,V_P_2,V_xs_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_list__all__iff,axiom, % 159.04/158.74 ! [V_xs_2,V_P_2,T_a] : % 159.04/158.74 ( c_List_Olist__all(T_a,V_P_2,V_xs_2) % 159.04/158.74 <=> ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.74 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_list__all__rev,axiom, % 159.04/158.74 ! [V_xs_2,V_P_2,T_a] : % 159.04/158.74 ( c_List_Olist__all(T_a,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2)) % 159.04/158.74 <=> c_List_Olist__all(T_a,V_P_2,V_xs_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_list__all__append,axiom, % 159.04/158.74 ! [V_ys_2,V_xs_2,V_P_2,T_a] : % 159.04/158.74 ( c_List_Olist__all(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) % 159.04/158.74 <=> ( c_List_Olist__all(T_a,V_P_2,V_xs_2) % 159.04/158.74 & c_List_Olist__all(T_a,V_P_2,V_ys_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_list__all__simps_I2_J,axiom, % 159.04/158.74 ! [V_P_2,T_a] : c_List_Olist__all(T_a,V_P_2,c_List_Olist_ONil(T_a)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_list__all__simps_I1_J,axiom, % 159.04/158.74 ! [V_xs_2,V_x_2,V_P_2,T_a] : % 159.04/158.74 ( c_List_Olist__all(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) % 159.04/158.74 <=> ( hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.74 & c_List_Olist__all(T_a,V_P_2,V_xs_2) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_list__all__iff__raw,axiom, % 159.04/158.74 ! [V_xs_2,V_P_2,T_a] : % 159.04/158.74 ( c_List_Olist__all(T_a,V_P_2,V_xs_2) % 159.04/158.74 <=> ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.74 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_list__ex1__simps_I2_J,axiom, % 159.04/158.74 ! [V_xs_2,V_x_2,V_P_2,T_a] : % 159.04/158.74 ( c_List_Olist__ex1(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) % 159.04/158.74 <=> ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.74 => c_List_Olist__all(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2))),hAPP(c_fequal,V_x_2)),V_xs_2) ) % 159.04/158.74 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.74 => c_List_Olist__ex1(T_a,V_P_2,V_xs_2) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_internal__split__def,axiom, % 159.04/158.74 ! [T_c,T_b,T_a] : c_Product__Type_Ointernal__split(T_a,T_b,T_c) = c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c) ). % 159.04/158.74 % 159.04/158.74 fof(fact_list__ex1__simps_I1_J,axiom, % 159.04/158.74 ! [V_P_2,T_a] : ~ c_List_Olist__ex1(T_a,V_P_2,c_List_Olist_ONil(T_a)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_exists1__code,axiom, % 159.04/158.74 ! [V_P_2,T_a] : % 159.04/158.74 ( class_Enum_Oenum(T_a) % 159.04/158.74 => ( ? [B_x] : % 159.04/158.74 ( hBOOL(hAPP(V_P_2,B_x)) % 159.04/158.74 & ! [B_y] : % 159.04/158.74 ( hBOOL(hAPP(V_P_2,B_y)) % 159.04/158.74 => B_y = B_x ) ) % 159.04/158.74 <=> c_List_Olist__ex1(T_a,V_P_2,c_Enum_Oenum__class_Oenum(T_a)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_internal__split__conv,axiom, % 159.04/158.74 ! [V_b_2,V_a_2,V_ca_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_b,T_c,T_a),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_ca_2,V_a_2),V_b_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_list__ex1__iff,axiom, % 159.04/158.74 ! [V_xs_2,V_P_2,T_a] : % 159.04/158.74 ( c_List_Olist__ex1(T_a,V_P_2,V_xs_2) % 159.04/158.74 <=> ? [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.74 & hBOOL(hAPP(V_P_2,B_x)) % 159.04/158.74 & ! [B_y] : % 159.04/158.74 ( ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),hAPP(c_List_Oset(T_a),V_xs_2))) % 159.04/158.74 & hBOOL(hAPP(V_P_2,B_y)) ) % 159.04/158.74 => B_y = B_x ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_setprod__nonneg,axiom, % 159.04/158.74 ! [V_f_2,V_A_2,T_a,T_b] : % 159.04/158.74 ( class_Rings_Olinordered__semidom(T_b) % 159.04/158.74 => ( ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) ) % 159.04/158.74 => 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__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2))) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_bool_Osize_I1_J,axiom, % 159.04/158.74 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(fact_bool_Osize_I2_J,axiom, % 159.04/158.74 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(fact_finite__less__ub,axiom, % 159.04/158.74 ! [V_u_2,V_f_2] : % 159.04/158.74 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n))) % 159.04/158.74 => 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)))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_measure__function__int,axiom, % 159.04/158.74 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))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_measure__fst,axiom, % 159.04/158.74 ! [T_b,V_f_2,T_a] : % 159.04/158.74 ( c_FunDef_Ois__measure(T_a,V_f_2) % 159.04/158.74 => c_FunDef_Ois__measure(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBB(T_a,tc_Nat_Onat,tc_prod(T_a,T_b)),V_f_2),c_Product__Type_Ofst(T_a,T_b))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_measure__size,axiom, % 159.04/158.74 ! [T_a] : % 159.04/158.74 ( class_Nat_Osize(T_a) % 159.04/158.74 => c_FunDef_Ois__measure(T_a,c_Nat_Osize__class_Osize(T_a)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_is__measure_Ointros,axiom, % 159.04/158.74 ! [V_f_2,T_a] : c_FunDef_Ois__measure(T_a,V_f_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_is__measure_Oequations,axiom, % 159.04/158.74 ! [V_a_2,T_a] : c_FunDef_Ois__measure(T_a,V_a_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_is__measure_Osimps,axiom, % 159.04/158.74 ! [V_a_2,T_a] : c_FunDef_Ois__measure(T_a,V_a_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_measure__snd,axiom, % 159.04/158.74 ! [T_b,V_f_2,T_a] : % 159.04/158.74 ( c_FunDef_Ois__measure(T_a,V_f_2) % 159.04/158.74 => c_FunDef_Ois__measure(tc_prod(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,tc_Nat_Onat,tc_prod(T_b,T_a)),V_f_2),c_Product__Type_Osnd(T_b,T_a))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_equal__fun__def,axiom, % 159.04/158.74 ! [V_g_2,V_f_2,T_a,T_b] : % 159.04/158.74 ( ( class_HOL_Oequal(T_b) % 159.04/158.74 & class_Enum_Oenum(T_a) ) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(T_a,T_b)),V_f_2),V_g_2)) % 159.04/158.74 <=> ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)))) % 159.04/158.74 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_transfer__morphism__int__nat,axiom, % 159.04/158.74 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)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__equal,axiom, % 159.04/158.74 ! [T_a] : % 159.04/158.74 ( class_HOL_Oequal(T_a) % 159.04/158.74 => c_fequal = c_HOL_Oequal__class_Oequal(T_a) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_equal__eq,axiom, % 159.04/158.74 ! [V_y_2,V_x_2,T_a] : % 159.04/158.74 ( class_HOL_Oequal(T_a) % 159.04/158.74 => ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(T_a),V_x_2),V_y_2)) % 159.04/158.74 <=> V_x_2 = V_y_2 ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_equal__refl,axiom, % 159.04/158.74 ! [V_x,T_a] : % 159.04/158.74 ( class_HOL_Oequal(T_a) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(T_a),V_x),V_x)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_equal,axiom, % 159.04/158.74 ! [T_a] : % 159.04/158.74 ( class_HOL_Oequal(T_a) % 159.04/158.74 => c_HOL_Oequal__class_Oequal(T_a) = c_fequal ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_bool_Osize_I4_J,axiom, % 159.04/158.74 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(fact_bool_Osize_I3_J,axiom, % 159.04/158.74 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(fact_size__code,axiom, % 159.04/158.74 ! [V_xq_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),V_xq_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),T_a),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_a),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_a)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)))),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(c_Lazy__Sequence_Oyield(T_a),V_xq_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom, % 159.04/158.74 ! [V_f_2,V_x_2,T_a,T_b,V_i_2] : % 159.04/158.74 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 159.04/158.74 => hAPP(c_New__DSequence_Oneg__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_a) ) % 159.04/158.74 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 159.04/158.74 => hAPP(c_New__DSequence_Oneg__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_b,T_a,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_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))),V_f_2),V_i_2)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__code_I6_J,axiom, % 159.04/158.74 hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__number__of__int__code,axiom, % 159.04/158.74 ! [V_l_2,V_k_2] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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))) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__code_I16_J,axiom, % 159.04/158.74 ! [V_k2_2,V_k1_2] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__code_I1_J,axiom, % 159.04/158.74 hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__code_I13_J,axiom, % 159.04/158.74 ! [V_k2_2,V_k1_2] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_equal__int__def,axiom, % 159.04/158.74 ! [V_l_2,V_k_2] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k_2),V_l_2)) % 159.04/158.74 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k_2),V_l_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__code_I15_J,axiom, % 159.04/158.74 ! [V_k2,V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1)),c_Int_OBit0(V_k2))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__code_I14_J,axiom, % 159.04/158.74 ! [V_k2,V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1)),c_Int_OBit1(V_k2))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__code_I9_J,axiom, % 159.04/158.74 ! [V_k1_2] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OPls)) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),c_Int_OPls)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__code_I3_J,axiom, % 159.04/158.74 ! [V_k2_2] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k2_2))) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),V_k2_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__code_I10_J,axiom, % 159.04/158.74 ! [V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1)),c_Int_OPls)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__code_I4_J,axiom, % 159.04/158.74 ! [V_k2] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k2))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__code_I11_J,axiom, % 159.04/158.74 ! [V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1)),c_Int_OMin)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__code_I7_J,axiom, % 159.04/158.74 ! [V_k2] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k2))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__code_I12_J,axiom, % 159.04/158.74 ! [V_k1_2] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OMin)) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),c_Int_OMin)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__code_I8_J,axiom, % 159.04/158.74 ! [V_k2_2] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k2_2))) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),V_k2_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__code_I2_J,axiom, % 159.04/158.74 ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__code_I5_J,axiom, % 159.04/158.74 ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_lazy__sequence__size__code,axiom, % 159.04/158.74 ! [V_xq_2,V_s_2,T_a] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_s_2),V_xq_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_a,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),T_a),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_a),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),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_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),T_a),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_a),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_a),V_xq_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom, % 159.04/158.74 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : c_New__Random__Sequence_Oneg__decr__bind(T_b,T_a,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,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_a)))),hAPP(hAPP(c_COMBC(T_b,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_a))))),hAPP(hAPP(c_COMBC(T_b,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_a)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_eq__int__refl,axiom, % 159.04/158.74 ! [V_k] : hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k),V_k)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_seq__case,axiom, % 159.04/158.74 ! [V_xq_2,V_g_2,V_f_2,T_b,T_a] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_a,T_b,V_f_2,V_g_2,V_xq_2) = hAPP(c_Option_Ooption_Ooption__case(T_a,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),T_a),V_g_2)),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_yieldn__def,axiom, % 159.04/158.74 ! [T_a] : c_Lazy__Sequence_Oyieldn(T_a) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_a),T_a,c_Lazy__Sequence_Oyield(T_a)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_New__DSequence_Oneg__bind__def,axiom, % 159.04/158.74 ! [V_i_2,V_f_2,V_x_2,T_a,T_b] : hAPP(c_New__DSequence_Oneg__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_b,T_a,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))),V_f_2),V_i_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_lazy__sequence_Osize_I4_J,axiom, % 159.04/158.74 ! [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))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_lazy__sequence_Osimps_I5_J,axiom, % 159.04/158.74 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_b,T_a] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_a,T_b,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact__01,axiom, % 159.04/158.74 ! [V_xq,V_x,T_a] : hAPP(c_Lazy__Sequence_Oyield(T_a),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,V_xq)) = hAPP(c_Option_Ooption_OSome(tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a))),hAPP(hAPP(c_Product__Type_OPair(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_x),V_xq)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_lazy__sequence_Oinject,axiom, % 159.04/158.74 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_a] : % 159.04/158.74 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H_2,V_lazy__sequence_H_2) % 159.04/158.74 <=> ( V_a_2 = V_a_H_2 % 159.04/158.74 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_lazy__sequence_Osize_I2_J,axiom, % 159.04/158.74 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_a] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,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_a,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_neg__bind__def,axiom, % 159.04/158.74 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_b,T_a,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,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_a)))),hAPP(hAPP(c_COMBC(T_b,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_a))))),hAPP(hAPP(c_COMBC(T_b,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_a)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_New__DSequence_Opos__decr__bind__def,axiom, % 159.04/158.74 ! [V_f_2,V_x_2,T_a,T_b,V_i_2] : % 159.04/158.74 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 159.04/158.74 => hAPP(c_New__DSequence_Opos__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_a) ) % 159.04/158.74 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 159.04/158.74 => hAPP(c_New__DSequence_Opos__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_b,T_a,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_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_f_2),V_i_2)) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom, % 159.04/158.74 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : c_New__Random__Sequence_Opos__decr__bind(T_b,T_a,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,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_a))),hAPP(hAPP(c_COMBC(T_b,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_a)))),hAPP(hAPP(c_COMBC(T_b,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_a))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_New__DSequence_Opos__empty__def,axiom, % 159.04/158.74 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ). % 159.04/158.74 % 159.04/158.74 fof(fact_pos__empty__def,axiom, % 159.04/158.74 ! [V_seed_2,V_size_2,V_nrandom_2,T_a] : c_New__Random__Sequence_Opos__empty(T_a,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_a) ). % 159.04/158.74 % 159.04/158.74 fof(fact_New__DSequence_Opos__bind__def,axiom, % 159.04/158.74 ! [V_i_2,V_f_2,V_x_2,T_a,T_b] : hAPP(c_New__DSequence_Opos__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_b,T_a,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_f_2),V_i_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_pos__bind__def,axiom, % 159.04/158.74 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_b,T_a,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,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_a))),hAPP(hAPP(c_COMBC(T_b,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_a)))),hAPP(hAPP(c_COMBC(T_b,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_a))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_neg__map__def,axiom, % 159.04/158.74 ! [V_P_2,V_f_2,T_a,T_b] : c_New__Random__Sequence_Oneg__map(T_b,T_a,V_f_2,V_P_2) = c_New__Random__Sequence_Oneg__bind(T_b,T_a,V_P_2,hAPP(c_Fun_Ocomp(T_a,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_a)))))),T_b,c_New__Random__Sequence_Oneg__single(T_a)),V_f_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_neg__single__def,axiom, % 159.04/158.74 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_a] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_a),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_a,V_x_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_pos__map__def,axiom, % 159.04/158.74 ! [V_P_2,V_f_2,T_a,T_b] : c_New__Random__Sequence_Opos__map(T_b,T_a,V_f_2,V_P_2) = c_New__Random__Sequence_Opos__bind(T_b,T_a,V_P_2,hAPP(c_Fun_Ocomp(T_a,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_a))))),T_b,c_New__Random__Sequence_Opos__single(T_a)),V_f_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_New__DSequence_Oneg__single__def,axiom, % 159.04/158.74 ! [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) ). % 159.04/158.74 % 159.04/158.74 fof(fact_pos__single__def,axiom, % 159.04/158.74 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_a] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_a),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_a,V_x_2) ). % 159.04/158.74 % 159.04/158.74 fof(fact_New__DSequence_Opos__single__def,axiom, % 159.04/158.74 ! [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) ). % 159.04/158.74 % 159.04/158.74 fof(fact_length__splice,axiom, % 159.04/158.74 ! [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)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_splice_Osimps_I3_J,axiom, % 159.04/158.74 ! [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))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_splice_Osimps_I1_J,axiom, % 159.04/158.74 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ). % 159.04/158.74 % 159.04/158.74 fof(fact_splice__Nil2,axiom, % 159.04/158.74 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ). % 159.04/158.74 % 159.04/158.74 fof(fact_splice_Osimps_I2_J,axiom, % 159.04/158.74 ! [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) ). % 159.04/158.74 % 159.04/158.74 fof(fact__02,axiom, % 159.04/158.74 ! [V_s2_2,V_s1_2,T_b,T_a] : c_Lazy__Sequence_Oproduct(T_a,T_b,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_a,tc_prod(T_a,T_b),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b)),T_a),c_Lazy__Sequence_Obind(T_b,tc_prod(T_a,T_b),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b))),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b)),T_b),c_Lazy__Sequence_Osingle(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))) ). % 159.04/158.74 % 159.04/158.74 fof(fact_acyclicP__converse,axiom, % 159.04/158.74 ! [V_r_2,T_a] : % 159.04/158.74 ( c_Wellfounded_Oacyclic(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_Predicate_Oconversep(T_a,T_a,V_r_2)))) % 159.04/158.74 <=> c_Wellfounded_Oacyclic(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converse__pred__comp,axiom, % 159.04/158.74 ! [V_s_2,V_r_2,T_c,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,c_Predicate_Opred__comp(T_b,T_c,T_a,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_a,T_c,T_b,c_Predicate_Oconversep(T_c,T_a,V_s_2),c_Predicate_Oconversep(T_b,T_c,V_r_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_conversepD,axiom, % 159.04/158.74 ! [V_b_2,V_a_2,V_r_2,T_b,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_a_2),V_b_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_conversep_Ointros,axiom, % 159.04/158.74 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 159.04/158.74 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_b_2),V_a_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_conversep_Oequations,axiom, % 159.04/158.74 ! [V_a1_2,V_a2_2,V_r_2,T_b,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_a2_2),V_a1_2)) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_conversep__iff,axiom, % 159.04/158.74 ! [V_b_2,V_a_2,V_r_2,T_b,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_a_2),V_b_2)) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_conversep__conversep,axiom, % 159.04/158.74 ! [V_r_2,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,c_Predicate_Oconversep(T_a,T_b,V_r_2)) = V_r_2 ). % 159.04/158.74 % 159.04/158.74 fof(fact_conversep__eq,axiom, % 159.04/158.74 ! [T_a] : c_Predicate_Oconversep(T_a,T_a,c_fequal) = c_fequal ). % 159.04/158.74 % 159.04/158.74 fof(fact_conversep__noteq,axiom, % 159.04/158.74 ! [V_y_2,V_x_2,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_a,hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot)),c_fequal)),V_x_2),V_y_2)) % 159.04/158.74 <=> V_x_2 != V_y_2 ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converse__meet,axiom, % 159.04/158.74 ! [V_s_2,V_r_2,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),c_Predicate_Oconversep(T_b,T_a,V_r_2)),c_Predicate_Oconversep(T_b,T_a,V_s_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_converse__join,axiom, % 159.04/158.74 ! [V_s_2,V_r_2,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),c_Predicate_Oconversep(T_b,T_a,V_r_2)),c_Predicate_Oconversep(T_b,T_a,V_s_2)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_conversep__converse__eq,axiom, % 159.04/158.74 ! [V_y_2,V_x_2,V_r_2,T_b,T_a] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2),V_y_2)) % 159.04/158.74 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_small__lazy__list_Osimps,axiom, % 159.04/158.74 ! [V_d_2,T_a] : % 159.04/158.74 ( class_Lazy__Sequence_Osmall__lazy(T_a) % 159.04/158.74 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_a),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_a),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a))),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_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),c_Lazy__Sequence_Oproduct(T_a,tc_List_Olist(T_a),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_a,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_a),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_a,tc_List_Olist(T_a),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a))),T_a),hAPP(c_COMBB(tc_List_Olist(T_a),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a)),tc_List_Olist(T_a)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_a)))),c_List_Olist_OCons(T_a))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_a)))) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_tl__replicate,axiom, % 159.04/158.74 ! [V_x,T_a,V_n] : % 159.04/158.74 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 159.04/158.74 => 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) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_small__lazy__prod__def,axiom, % 159.04/158.74 ! [V_d,T_b,T_a] : % 159.04/158.74 ( ( class_Lazy__Sequence_Osmall__lazy(T_a) % 159.04/158.74 & class_Lazy__Sequence_Osmall__lazy(T_b) ) % 159.04/158.74 => 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)) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact__03,axiom, % 159.04/158.74 ! [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)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_replicate__append__same,axiom, % 159.04/158.74 ! [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)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_replicate__Suc,axiom, % 159.04/158.74 ! [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)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_replicate__app__Cons__same,axiom, % 159.04/158.74 ! [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)) ). % 159.04/158.74 % 159.04/158.74 fof(fact_filter__replicate,axiom, % 159.04/158.74 ! [V_n_2,T_a,V_x_2,V_P_2] : % 159.04/158.74 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.74 => hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = c_List_Oreplicate(T_a,V_n_2,V_x_2) ) % 159.04/158.74 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 159.04/158.74 => hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = c_List_Olist_ONil(T_a) ) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_replicate__empty,axiom, % 159.04/158.74 ! [V_x_2,V_n_2,T_a] : % 159.04/158.74 ( c_List_Oreplicate(T_a,V_n_2,V_x_2) = c_List_Olist_ONil(T_a) % 159.04/158.74 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_empty__replicate,axiom, % 159.04/158.74 ! [V_x_2,V_n_2,T_a] : % 159.04/158.74 ( c_List_Olist_ONil(T_a) = c_List_Oreplicate(T_a,V_n_2,V_x_2) % 159.04/158.74 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 159.04/158.74 % 159.04/158.74 fof(fact_replicate__0,axiom, % 159.04/158.74 ! [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) ). % 159.04/158.74 % 159.04/158.74 fof(fact_concat__replicate__trivial,axiom, % 159.04/158.74 ! [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) ). % 159.04/158.74 % 159.04/158.74 %----Arity declarations (235) % 159.04/158.74 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom, % 159.04/158.74 class_Lattices_Obounded__lattice(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Lattices_Obounded__lattice,axiom, % 159.04/158.74 ! [T_2,T_1] : % 159.04/158.74 ( class_Lattices_Obounded__lattice(T_1) % 159.04/158.74 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 159.04/158.74 ! [T_2,T_1] : % 159.04/158.74 ( class_Complete__Lattice_Ocomplete__lattice(T_1) % 159.04/158.74 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Lattices_Obounded__lattice__top,axiom, % 159.04/158.74 ! [T_2,T_1] : % 159.04/158.74 ( class_Lattices_Obounded__lattice(T_1) % 159.04/158.74 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom, % 159.04/158.74 ! [T_2,T_1] : % 159.04/158.74 ( class_Lattices_Obounded__lattice(T_1) % 159.04/158.74 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Lattices_Osemilattice__sup,axiom, % 159.04/158.74 ! [T_2,T_1] : % 159.04/158.74 ( class_Lattices_Olattice(T_1) % 159.04/158.74 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Lattices_Osemilattice__inf,axiom, % 159.04/158.74 ! [T_2,T_1] : % 159.04/158.74 ( class_Lattices_Olattice(T_1) % 159.04/158.74 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Lattices_Odistrib__lattice,axiom, % 159.04/158.74 ! [T_2,T_1] : % 159.04/158.74 ( class_Lattices_Odistrib__lattice(T_1) % 159.04/158.74 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 159.04/158.74 ! [T_2,T_1] : % 159.04/158.74 ( class_Lattices_Oboolean__algebra(T_1) % 159.04/158.74 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Orderings_Opreorder,axiom, % 159.04/158.74 ! [T_2,T_1] : % 159.04/158.74 ( class_Orderings_Opreorder(T_1) % 159.04/158.74 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Finite__Set_Ofinite,axiom, % 159.04/158.74 ! [T_1,T_2] : % 159.04/158.74 ( ( class_Finite__Set_Ofinite(T_2) % 159.04/158.74 & class_Finite__Set_Ofinite(T_1) ) % 159.04/158.74 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Lattices_Olattice,axiom, % 159.04/158.74 ! [T_2,T_1] : % 159.04/158.74 ( class_Lattices_Olattice(T_1) % 159.04/158.74 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Orderings_Oorder,axiom, % 159.04/158.74 ! [T_2,T_1] : % 159.04/158.74 ( class_Orderings_Oorder(T_1) % 159.04/158.74 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Orderings_Otop,axiom, % 159.04/158.74 ! [T_2,T_1] : % 159.04/158.74 ( class_Orderings_Otop(T_1) % 159.04/158.74 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Orderings_Oord,axiom, % 159.04/158.74 ! [T_2,T_1] : % 159.04/158.74 ( class_Orderings_Oord(T_1) % 159.04/158.74 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Orderings_Obot,axiom, % 159.04/158.74 ! [T_2,T_1] : % 159.04/158.74 ( class_Orderings_Obot(T_1) % 159.04/158.74 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Groups_Ouminus,axiom, % 159.04/158.74 ! [T_2,T_1] : % 159.04/158.74 ( class_Groups_Ouminus(T_1) % 159.04/158.74 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Groups_Ominus,axiom, % 159.04/158.74 ! [T_2,T_1] : % 159.04/158.74 ( class_Groups_Ominus(T_1) % 159.04/158.74 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__HOL_Oequal,axiom, % 159.04/158.74 ! [T_1,T_2] : % 159.04/158.74 ( ( class_Enum_Oenum(T_2) % 159.04/158.74 & class_HOL_Oequal(T_1) ) % 159.04/158.74 => class_HOL_Oequal(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_fun__Enum_Oenum,axiom, % 159.04/158.74 ! [T_1,T_2] : % 159.04/158.74 ( ( class_Enum_Oenum(T_2) % 159.04/158.74 & class_Enum_Oenum(T_1) ) % 159.04/158.74 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Com__Ocom__HOL_Oequal,axiom, % 159.04/158.74 class_HOL_Oequal(tc_Com_Ocom) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Com__Ocom__Nat_Osize,axiom, % 159.04/158.74 class_Nat_Osize(tc_Com_Ocom) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 159.04/158.74 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 159.04/158.74 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 159.04/158.74 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 159.04/158.74 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 159.04/158.74 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom, % 159.04/158.74 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 159.04/158.74 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 159.04/158.74 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 159.04/158.74 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 159.04/158.74 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 159.04/158.74 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 159.04/158.74 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 159.04/158.74 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 159.04/158.74 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 159.04/158.74 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 159.04/158.74 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 159.04/158.74 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 159.04/158.74 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 159.04/158.74 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 159.04/158.74 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 159.04/158.74 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 159.04/158.74 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom, % 159.04/158.74 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom, % 159.04/158.74 class_Lattices_Osemilattice__sup(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom, % 159.04/158.74 class_Lattices_Osemilattice__inf(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom, % 159.04/158.74 class_Lattices_Odistrib__lattice(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 159.04/158.74 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 159.04/158.74 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 159.04/158.74 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 159.04/158.74 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 159.04/158.74 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 159.04/158.74 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 159.04/158.74 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 159.04/158.74 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 159.04/158.74 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 159.04/158.74 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom, % 159.04/158.74 class_Groups_Osemigroup__add(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Divides_Osemiring__div,axiom, % 159.04/158.74 class_Divides_Osemiring__div(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 159.04/158.74 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom, % 159.04/158.74 class_Nat_Osemiring__char__0(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 159.04/158.74 class_Groups_Oab__group__add(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 159.04/158.74 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 159.04/158.74 class_Rings_Oordered__ring(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 159.04/158.74 class_Orderings_Opreorder(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 159.04/158.74 class_Orderings_Olinorder(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 159.04/158.74 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 159.04/158.74 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 159.04/158.74 class_Groups_Omonoid__add(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Smallcheck_Osmall,axiom, % 159.04/158.74 class_Smallcheck_Osmall(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Osemiring__1,axiom, % 159.04/158.74 class_Rings_Osemiring__1(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 159.04/158.74 class_Rings_Osemiring__0(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Lattices_Olattice,axiom, % 159.04/158.74 class_Lattices_Olattice(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 159.04/158.74 class_Groups_Ogroup__add(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Divides_Oring__div,axiom, % 159.04/158.74 class_Divides_Oring__div(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 159.04/158.74 class_Rings_Omult__zero(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 159.04/158.74 class_Orderings_Oorder(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 159.04/158.74 class_Int_Oring__char__0(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Int_Onumber__ring,axiom, % 159.04/158.74 class_Int_Onumber__ring(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 159.04/158.74 class_Rings_Osemiring(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Orderings_Oord,axiom, % 159.04/158.74 class_Orderings_Oord(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 159.04/158.74 class_Groups_Ouminus(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 159.04/158.74 class_Groups_Osgn__if(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 159.04/158.74 class_Groups_Oabs__if(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 159.04/158.74 class_Rings_Oring__1(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Ominus,axiom, % 159.04/158.74 class_Groups_Ominus(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Power_Opower,axiom, % 159.04/158.74 class_Power_Opower(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Ozero,axiom, % 159.04/158.74 class_Groups_Ozero(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Oring,axiom, % 159.04/158.74 class_Rings_Oring(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Rings_Oidom,axiom, % 159.04/158.74 class_Rings_Oidom(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Int_Onumber,axiom, % 159.04/158.74 class_Int_Onumber(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__Groups_Oone,axiom, % 159.04/158.74 class_Groups_Oone(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Int__Oint__HOL_Oequal,axiom, % 159.04/158.74 class_HOL_Oequal(tc_Int_Oint) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 159.04/158.74 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 159.04/158.74 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 159.04/158.74 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 159.04/158.74 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom, % 159.04/158.74 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 159.04/158.74 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 159.04/158.74 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 159.04/158.74 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 159.04/158.74 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 159.04/158.74 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 159.04/158.74 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 159.04/158.74 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 159.04/158.74 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 159.04/158.74 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom, % 159.04/158.74 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom, % 159.04/158.74 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom, % 159.04/158.74 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 159.04/158.74 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 159.04/158.74 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 159.04/158.74 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 159.04/158.74 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 159.04/158.74 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 159.04/158.74 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 159.04/158.74 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom, % 159.04/158.74 class_Groups_Osemigroup__add(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom, % 159.04/158.74 class_Divides_Osemiring__div(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 159.04/158.74 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Orderings_Owellorder,axiom, % 159.04/158.74 class_Orderings_Owellorder(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom, % 159.04/158.74 class_Nat_Osemiring__char__0(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 159.04/158.74 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 159.04/158.74 class_Orderings_Opreorder(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 159.04/158.74 class_Orderings_Olinorder(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 159.04/158.74 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 159.04/158.74 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom, % 159.04/158.74 class_Rings_Osemiring__1(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 159.04/158.74 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Lattices_Olattice,axiom, % 159.04/158.74 class_Lattices_Olattice(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 159.04/158.74 class_Rings_Omult__zero(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 159.04/158.74 class_Orderings_Oorder(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 159.04/158.74 class_Rings_Osemiring(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 159.04/158.74 class_Orderings_Oord(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Orderings_Obot,axiom, % 159.04/158.74 class_Orderings_Obot(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 159.04/158.74 class_Groups_Ominus(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Power_Opower,axiom, % 159.04/158.74 class_Power_Opower(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 159.04/158.74 class_Groups_Ozero(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Int_Onumber,axiom, % 159.04/158.74 class_Int_Onumber(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Groups_Oone,axiom, % 159.04/158.74 class_Groups_Oone(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__HOL_Oequal,axiom, % 159.04/158.74 class_HOL_Oequal(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Nat__Onat__Nat_Osize,axiom, % 159.04/158.74 class_Nat_Osize(tc_Nat_Onat) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom, % 159.04/158.74 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom, % 159.04/158.74 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom, % 159.04/158.74 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom, % 159.04/158.74 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom, % 159.04/158.74 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom, % 159.04/158.74 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 159.04/158.74 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 159.04/158.74 class_Orderings_Opreorder(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom, % 159.04/158.74 class_Finite__Set_Ofinite(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Lattices_Olattice,axiom, % 159.04/158.74 class_Lattices_Olattice(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 159.04/158.74 class_Orderings_Oorder(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Orderings_Otop,axiom, % 159.04/158.74 class_Orderings_Otop(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 159.04/158.74 class_Orderings_Oord(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Orderings_Obot,axiom, % 159.04/158.74 class_Orderings_Obot(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 159.04/158.74 class_Groups_Ouminus(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 159.04/158.74 class_Groups_Ominus(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__HOL_Oequal,axiom, % 159.04/158.74 class_HOL_Oequal(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Enum_Oenum,axiom, % 159.04/158.74 class_Enum_Oenum(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_HOL__Obool__Nat_Osize,axiom, % 159.04/158.74 class_Nat_Osize(tc_HOL_Obool) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Com__Ostate__HOL_Oequal,axiom, % 159.04/158.74 class_HOL_Oequal(tc_Com_Ostate) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Com__Ostate__Nat_Osize,axiom, % 159.04/158.74 class_Nat_Osize(tc_Com_Ostate) ). % 159.04/158.74 % 159.04/158.74 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom, % 159.04/158.74 ! [T_1] : % 159.04/158.74 ( class_Lazy__Sequence_Osmall__lazy(T_1) % 159.04/158.74 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_List__Olist__HOL_Oequal,axiom, % 159.04/158.74 ! [T_1] : class_HOL_Oequal(tc_List_Olist(T_1)) ). % 159.04/158.74 % 159.04/158.74 fof(arity_List__Olist__Nat_Osize,axiom, % 159.04/158.74 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ). % 159.04/158.74 % 159.04/158.74 fof(arity_sum__Finite__Set_Ofinite,axiom, % 159.04/158.74 ! [T_1,T_2] : % 159.04/158.74 ( ( class_Finite__Set_Ofinite(T_2) % 159.04/158.74 & class_Finite__Set_Ofinite(T_1) ) % 159.04/158.74 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_sum__HOL_Oequal,axiom, % 159.04/158.74 ! [T_1,T_2] : class_HOL_Oequal(tc_sum(T_2,T_1)) ). % 159.04/158.74 % 159.04/158.74 fof(arity_sum__Enum_Oenum,axiom, % 159.04/158.74 ! [T_1,T_2] : % 159.04/158.74 ( ( class_Enum_Oenum(T_2) % 159.04/158.74 & class_Enum_Oenum(T_1) ) % 159.04/158.74 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_sum__Nat_Osize,axiom, % 159.04/158.74 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom, % 159.04/158.74 ! [T_1] : % 159.04/158.74 ( class_Finite__Set_Ofinite(T_1) % 159.04/158.74 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Option__Ooption__HOL_Oequal,axiom, % 159.04/158.74 ! [T_1] : class_HOL_Oequal(tc_Option_Ooption(T_1)) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Option__Ooption__Enum_Oenum,axiom, % 159.04/158.74 ! [T_1] : % 159.04/158.74 ( class_Enum_Oenum(T_1) % 159.04/158.74 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Option__Ooption__Nat_Osize,axiom, % 159.04/158.74 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ). % 159.04/158.74 % 159.04/158.74 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom, % 159.04/158.74 ! [T_1,T_2] : % 159.04/158.74 ( ( class_Lazy__Sequence_Osmall__lazy(T_2) % 159.04/158.74 & class_Lazy__Sequence_Osmall__lazy(T_1) ) % 159.04/158.74 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_prod__Finite__Set_Ofinite,axiom, % 159.04/158.74 ! [T_1,T_2] : % 159.04/158.74 ( ( class_Finite__Set_Ofinite(T_2) % 159.04/158.74 & class_Finite__Set_Ofinite(T_1) ) % 159.04/158.74 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_prod__Smallcheck_Osmall,axiom, % 159.04/158.74 ! [T_1,T_2] : % 159.04/158.74 ( ( class_Smallcheck_Osmall(T_2) % 159.04/158.74 & class_Smallcheck_Osmall(T_1) ) % 159.04/158.74 => class_Smallcheck_Osmall(tc_prod(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_prod__HOL_Oequal,axiom, % 159.04/158.74 ! [T_1,T_2] : class_HOL_Oequal(tc_prod(T_2,T_1)) ). % 159.04/158.74 % 159.04/158.74 fof(arity_prod__Enum_Oenum,axiom, % 159.04/158.74 ! [T_1,T_2] : % 159.04/158.74 ( ( class_Enum_Oenum(T_2) % 159.04/158.74 & class_Enum_Oenum(T_1) ) % 159.04/158.74 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ). % 159.04/158.74 % 159.04/158.74 fof(arity_prod__Nat_Osize,axiom, % 159.04/158.74 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom, % 159.04/158.74 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom, % 159.04/158.74 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Product____Type__Ounit__Smallcheck_Osmall,axiom, % 159.04/158.74 class_Smallcheck_Osmall(tc_Product__Type_Ounit) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Product____Type__Ounit__HOL_Oequal,axiom, % 159.04/158.74 class_HOL_Oequal(tc_Product__Type_Ounit) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom, % 159.04/158.74 class_Enum_Oenum(tc_Product__Type_Ounit) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Product____Type__Ounit__Nat_Osize,axiom, % 159.04/158.74 class_Nat_Osize(tc_Product__Type_Ounit) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Evaluation__Oterm__HOL_Oequal,axiom, % 159.04/158.74 class_HOL_Oequal(tc_Code__Evaluation_Oterm) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom, % 159.04/158.74 class_Nat_Osize(tc_Code__Evaluation_Oterm) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Hoare____Mirabelle__Otriple__HOL_Oequal,axiom, % 159.04/158.74 ! [T_1] : class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(T_1)) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom, % 159.04/158.74 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 159.04/158.74 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 159.04/158.74 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom, % 159.04/158.74 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom, % 159.04/158.74 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom, % 159.04/158.74 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom, % 159.04/158.74 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom, % 159.04/158.74 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom, % 159.04/158.74 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom, % 159.04/158.74 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom, % 159.04/158.74 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom, % 159.04/158.74 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom, % 159.04/158.74 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom, % 159.04/158.74 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom, % 159.04/158.74 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom, % 159.04/158.74 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom, % 159.04/158.74 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom, % 159.04/158.74 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom, % 159.04/158.74 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom, % 159.04/158.74 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom, % 159.04/158.74 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom, % 159.04/158.74 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom, % 159.04/158.74 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom, % 159.04/158.74 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom, % 159.04/158.74 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom, % 159.04/158.74 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom, % 159.04/158.74 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom, % 159.04/158.74 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom, % 159.04/158.74 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom, % 159.04/158.74 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom, % 159.04/158.74 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom, % 159.04/158.74 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom, % 159.04/158.74 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom, % 159.04/158.74 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom, % 159.04/158.74 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom, % 159.04/158.74 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom, % 159.04/158.74 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom, % 159.04/158.74 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom, % 159.04/158.74 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom, % 159.04/158.74 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom, % 159.04/158.74 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__HOL_Oequal,axiom, % 159.04/158.74 class_HOL_Oequal(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom, % 159.04/158.74 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Lazy____Sequence__Olazy____sequence__HOL_Oequal,axiom, % 159.04/158.74 ! [T_1] : class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 159.04/158.74 % 159.04/158.74 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom, % 159.04/158.74 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 159.04/158.74 % 159.04/158.74 %----Helper facts (20) % 159.04/158.74 fof(help_c__COMBI__1,axiom, % 159.04/158.74 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ). % 159.04/158.74 % 159.04/158.74 fof(help_c__COMBK__1,axiom, % 159.04/158.74 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ). % 159.04/158.74 % 159.04/158.74 fof(help_c__COMBB__1,axiom, % 159.04/158.74 ! [V_R_2,V_Q_2,V_P_2,T_c,T_a,T_b] : hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P_2),V_Q_2),V_R_2) = hAPP(V_P_2,hAPP(V_Q_2,V_R_2)) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__COMBC__1,axiom, % 159.04/158.74 ! [V_R_2,V_Q_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),V_Q_2) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__COMBS__1,axiom, % 159.04/158.74 ! [V_R_2,V_Q_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__fequal__1,axiom, % 159.04/158.74 ! [V_y_2,V_x_2] : % 159.04/158.74 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) % 159.04/158.74 | V_x_2 = V_y_2 ) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__fequal__2,axiom, % 159.04/158.74 ! [V_y_2,V_x_2] : % 159.04/158.74 ( V_x_2 != V_y_2 % 159.04/158.74 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__fFalse__1,axiom, % 159.04/158.74 ~ hBOOL(c_fFalse) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__fTrue__1,axiom, % 159.04/158.74 hBOOL(c_fTrue) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__fNot__1,axiom, % 159.04/158.74 ! [V_P_2] : % 159.04/158.74 ( ~ hBOOL(hAPP(c_fNot,V_P_2)) % 159.04/158.74 | ~ hBOOL(V_P_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__fNot__2,axiom, % 159.04/158.74 ! [V_P_2] : % 159.04/158.74 ( ~ ~ hBOOL(V_P_2) % 159.04/158.74 | hBOOL(hAPP(c_fNot,V_P_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__fconj__1,axiom, % 159.04/158.74 ! [V_Q_2,V_P_2] : % 159.04/158.74 ( ~ hBOOL(V_P_2) % 159.04/158.74 | ~ hBOOL(V_Q_2) % 159.04/158.74 | hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__fconj__2,axiom, % 159.04/158.74 ! [V_Q_2,V_P_2] : % 159.04/158.74 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) % 159.04/158.74 | hBOOL(V_P_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__fconj__3,axiom, % 159.04/158.74 ! [V_Q_2,V_P_2] : % 159.04/158.74 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) % 159.04/158.74 | hBOOL(V_Q_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__fdisj__1,axiom, % 159.04/158.74 ! [V_Q_2,V_P_2] : % 159.04/158.74 ( ~ hBOOL(V_P_2) % 159.04/158.74 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__fdisj__2,axiom, % 159.04/158.74 ! [V_P_2,V_Q_2] : % 159.04/158.74 ( ~ hBOOL(V_Q_2) % 159.04/158.74 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__fdisj__3,axiom, % 159.04/158.74 ! [V_Q_2,V_P_2] : % 159.04/158.74 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) % 159.04/158.74 | hBOOL(V_P_2) % 159.04/158.74 | hBOOL(V_Q_2) ) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__fimplies__1,axiom, % 159.04/158.74 ! [V_Q_2,V_P_2] : % 159.04/158.74 ( hBOOL(V_P_2) % 159.04/158.74 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__fimplies__2,axiom, % 159.04/158.74 ! [V_P_2,V_Q_2] : % 159.04/158.74 ( ~ hBOOL(V_Q_2) % 159.04/158.74 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ). % 159.04/158.74 % 159.04/158.74 fof(help_c__fimplies__3,axiom, % 159.04/158.74 ! [V_Q_2,V_P_2] : % 159.04/158.74 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) % 159.04/158.74 | ~ hBOOL(V_P_2) % 159.04/158.74 | hBOOL(V_Q_2) ) ). % 159.04/158.74 % 159.04/158.74 %----Conjectures (4) % 159.04/158.74 fof(conj_0,hypothesis, % 159.04/158.74 c_Hoare__Mirabelle_Ostate__not__singleton ). % 159.04/158.74 % 159.04/158.74 fof(conj_1,hypothesis, % 159.04/158.74 ! [B_x] : % 159.04/158.74 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) % 159.04/158.74 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,B_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ). % 159.04/158.74 % 159.04/158.74 fof(conj_2,hypothesis, % 159.04/158.74 hAPP(c_Com_Obody,v_pname) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) ). % 159.04/158.74 % 159.04/158.74 fof(conj_3,conjecture, % 159.04/158.74 c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,v_pname))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ). % 159.04/158.74 % 159.04/158.74 %------------------------------------------------------------------------------ % 159.04/158.74 %------------------------------------------- % 159.04/158.74 % Proof found % 159.04/158.74 % SZS status Theorem for theBenchmark % 159.04/158.74 % SZS output start Proof % 159.04/158.75 %ClaNum:10209(EqnAxiom:2874) % 159.04/158.75 %VarNum:70191(SingletonVarNum:20443) % 159.04/158.75 %MaxLitNum:8 % 159.04/158.75 %MaxfuncDepth:15 % 159.04/158.75 %SharedTerms:1101 % 159.04/158.75 %goalClause: 4566 % 159.04/158.75 %singleGoalClaCount:1 % 159.04/158.75 [2875]P1(a5000) % 159.04/158.75 [2879]P24(a871) % 159.04/158.75 [2880]P24(a876) % 159.04/158.75 [2881]P104(a193) % 159.04/158.75 [2882]P25(a871) % 159.04/158.75 [2883]P25(a879) % 159.04/158.75 [2884]P105(a871) % 159.04/158.75 [2885]P105(a876) % 159.04/158.75 [2886]P105(a1) % 159.04/158.75 [2887]P105(a103) % 159.04/158.75 [2888]P106(a871) % 159.04/158.75 [2889]P106(a876) % 159.04/158.75 [2890]P106(a1) % 159.04/158.75 [2891]P106(a103) % 159.04/158.75 [2892]P107(a876) % 159.04/158.75 [2893]P107(a1) % 159.04/158.75 [2894]P107(a103) % 159.04/158.75 [2895]P108(a871) % 159.04/158.75 [2896]P108(a876) % 159.04/158.75 [2897]P108(a1) % 159.04/158.75 [2898]P108(a103) % 159.04/158.75 [2899]P63(a871) % 159.04/158.75 [2900]P63(a876) % 159.04/158.75 [2901]P63(a1) % 159.04/158.75 [2902]P63(a103) % 159.04/158.75 [2903]P75(a871) % 159.04/158.75 [2904]P75(a876) % 159.04/158.75 [2905]P75(a1) % 159.04/158.75 [2906]P99(a871) % 159.04/158.75 [2907]P99(a876) % 159.04/158.75 [2908]P99(a1) % 159.04/158.75 [2909]P76(a871) % 159.04/158.75 [2910]P77(a1) % 159.04/158.75 [2911]P64(a1) % 159.04/158.75 [2912]P65(a1) % 159.04/158.75 [2913]P100(a871) % 159.04/158.75 [2914]P100(a876) % 159.04/158.75 [2915]P100(a1) % 159.04/158.75 [2916]P81(a871) % 159.04/158.75 [2917]P82(a871) % 159.04/158.75 [2918]P82(a1) % 159.04/158.75 [2919]P97(a871) % 159.04/158.75 [2920]P97(a876) % 159.04/158.75 [2921]P97(a1) % 159.04/158.75 [2922]P66(a876) % 159.04/158.75 [2923]P66(a1) % 159.04/158.75 [2924]P66(a103) % 159.04/158.75 [2925]P109(a871) % 159.04/158.75 [2926]P98(a871) % 159.04/158.75 [2927]P110(a1) % 159.04/158.75 [2928]P118(a1) % 159.04/158.75 [2929]P119(a1) % 159.04/158.75 [2930]P68(a876) % 159.04/158.75 [2931]P68(a1) % 159.04/158.75 [2932]P68(a103) % 159.04/158.75 [2933]P69(a876) % 159.04/158.75 [2934]P69(a1) % 159.04/158.75 [2935]P69(a103) % 159.04/158.75 [2936]P78(a876) % 159.04/158.75 [2937]P78(a1) % 159.04/158.75 [2938]P78(a103) % 159.04/158.75 [2939]P79(a876) % 159.04/158.75 [2940]P79(a1) % 159.04/158.75 [2941]P79(a103) % 159.04/158.75 [2942]P136(a876) % 159.04/158.75 [2943]P136(a1) % 159.04/158.75 [2944]P136(a103) % 159.04/158.75 [2945]P122(a876) % 159.04/158.75 [2946]P122(a1) % 159.04/158.75 [2947]P122(a103) % 159.04/158.75 [2948]P137(a1) % 159.04/158.75 [2949]P111(a1) % 159.04/158.75 [2950]P114(a876) % 159.04/158.75 [2951]P114(a1) % 159.04/158.75 [2952]P114(a103) % 159.04/158.75 [2953]P83(a876) % 159.04/158.75 [2954]P83(a1) % 159.04/158.75 [2955]P83(a103) % 159.04/158.75 [2956]P67(a876) % 159.04/158.75 [2957]P67(a1) % 159.04/158.75 [2958]P67(a103) % 159.04/158.75 [2959]P70(a876) % 159.04/158.75 [2960]P70(a1) % 159.04/158.75 [2961]P70(a103) % 159.04/158.75 [2962]P71(a876) % 159.04/158.75 [2963]P71(a1) % 159.04/158.75 [2964]P71(a103) % 159.04/158.75 [2965]P141(a876) % 159.04/158.75 [2966]P141(a1) % 159.04/158.75 [2967]P84(a876) % 159.04/158.75 [2968]P84(a1) % 159.04/158.75 [2969]P84(a103) % 159.04/158.75 [2970]P85(a876) % 159.04/158.75 [2971]P85(a1) % 159.04/158.75 [2972]P85(a103) % 159.04/158.75 [2973]P115(a876) % 159.04/158.75 [2974]P115(a1) % 159.04/158.75 [2975]P115(a103) % 159.04/158.75 [2976]P139(a876) % 159.04/158.75 [2977]P139(a1) % 159.04/158.75 [2978]P139(a103) % 159.04/158.75 [2979]P125(a1) % 159.04/158.75 [2980]P126(a1) % 159.04/158.75 [2981]P90(a876) % 159.04/158.75 [2982]P90(a1) % 159.04/158.75 [2983]P90(a103) % 159.04/158.75 [2984]P129(a876) % 159.04/158.75 [2985]P129(a1) % 159.04/158.75 [2986]P129(a103) % 159.04/158.75 [2987]P80(a876) % 159.04/158.75 [2988]P80(a1) % 159.04/158.75 [2989]P80(a103) % 159.04/158.75 [2990]P73(a1) % 159.04/158.75 [2991]P140(a1) % 159.04/158.75 [2992]P130(a876) % 159.04/158.75 [2993]P130(a1) % 159.04/158.75 [2994]P130(a103) % 159.04/158.75 [2995]P142(a876) % 159.04/158.75 [2996]P142(a1) % 159.04/158.75 [2997]P142(a103) % 159.04/158.75 [2998]P87(a876) % 159.04/158.75 [2999]P87(a1) % 159.04/158.75 [3000]P87(a103) % 159.04/158.75 [3001]P123(a1) % 159.04/158.75 [3002]P124(a1) % 159.04/158.75 [3003]P132(a876) % 159.04/158.75 [3004]P132(a1) % 159.04/158.75 [3005]P132(a103) % 159.04/158.75 [3006]P134(a876) % 159.04/158.75 [3007]P134(a1) % 159.04/158.75 [3008]P134(a103) % 159.04/158.75 [3009]P133(a876) % 159.04/158.75 [3010]P133(a1) % 159.04/158.75 [3011]P133(a103) % 159.04/158.75 [3012]P120(a876) % 159.04/158.75 [3013]P120(a1) % 159.04/158.75 [3014]P120(a103) % 159.04/158.75 [3015]P131(a876) % 159.04/158.75 [3016]P131(a1) % 159.04/158.75 [3017]P131(a103) % 159.04/158.75 [3018]P127(a876) % 159.04/158.75 [3019]P127(a1) % 159.04/158.75 [3020]P127(a103) % 159.04/158.75 [3021]P128(a1) % 159.04/158.75 [3022]P112(a876) % 159.04/158.75 [3023]P112(a1) % 159.04/158.75 [3024]P112(a103) % 159.04/158.75 [3025]P138(a1) % 159.04/158.75 [3026]P91(a1) % 159.04/158.75 [3027]P74(a876) % 159.04/158.75 [3028]P74(a1) % 159.04/158.75 [3029]P74(a103) % 159.04/158.75 [3030]P101(a876) % 159.04/158.75 [3031]P101(a1) % 159.04/158.75 [3032]P101(a103) % 159.04/158.75 [3033]P143(a876) % 159.04/158.75 [3034]P143(a1) % 159.04/158.75 [3035]P143(a103) % 159.04/158.75 [3036]P26(a876) % 159.04/158.75 [3037]P26(a1) % 159.04/158.75 [3038]P26(a103) % 159.04/158.75 [3039]P88(a1) % 159.04/158.75 [3040]P27(a1) % 159.04/158.75 [3041]P86(a1) % 159.04/158.75 [3042]P135(a1) % 159.04/158.75 [3043]P72(a1) % 159.04/158.75 [3044]P28(a871) % 159.04/158.75 [3045]P92(a1) % 159.04/158.75 [3046]P93(a876) % 159.04/158.75 [3047]P93(a1) % 159.04/158.75 [3048]P93(a103) % 159.04/158.75 [3049]P144(a879) % 159.04/158.75 [3050]P144(a1) % 159.04/158.75 [3051]P89(a876) % 159.04/158.75 [3052]P89(a1) % 159.04/158.75 [3053]P89(a103) % 159.04/158.75 [3054]P58(a871) % 159.04/158.75 [3055]P58(a879) % 159.04/158.75 [3056]P94(a871) % 159.04/158.75 [3057]P94(a872) % 159.04/158.75 [3058]P94(a873) % 159.04/158.75 [3059]P94(a876) % 159.04/158.75 [3060]P94(a879) % 159.04/158.75 [3061]P94(a1) % 159.04/158.75 [3062]P94(a327) % 159.04/158.75 [3063]P94(a103) % 159.04/158.75 [3064]P113(a876) % 159.04/158.75 [3065]P103(a871) % 159.04/158.75 [3066]P103(a872) % 159.04/158.75 [3067]P103(a873) % 159.04/158.75 [3068]P103(a876) % 159.04/158.75 [3069]P103(a879) % 159.04/158.75 [3070]P103(a327) % 159.04/158.75 [3071]P103(a103) % 159.04/158.75 [3072]P102(a879) % 159.04/158.75 [3073]P102(a1) % 159.04/158.75 [3074]P96(a871) % 159.04/158.75 [3094]P39(a876,a249) % 159.04/158.75 [3095]P39(a876,a321) % 159.04/158.75 [4462]~E(a101,a83) % 159.04/158.75 [4463]~P104(a248) % 159.04/158.75 [2876]E(f2(a1),a83) % 159.04/158.75 [2877]E(f104(a103),a3) % 159.04/158.75 [2878]E(f22(a103),a23) % 159.04/158.75 [3075]E(f194(a876),f2(a876)) % 159.04/158.75 [3076]E(f31(a24),f2(a876)) % 159.04/158.75 [3077]E(f105(a876),f242(a876)) % 159.04/158.75 [3078]E(f114(a876),f243(a876)) % 159.04/158.75 [3079]E(f106(a1),f34(a1)) % 159.04/158.75 [3080]E(f84(a248),f2(a876)) % 159.04/158.75 [3081]E(f84(a193),f2(a876)) % 159.04/158.75 [3082]P29(f78(a1)) % 159.04/158.75 [3083]P29(f2(a1)) % 159.04/158.75 [3133]P104(f331(a25,a24)) % 159.04/158.75 [3147]P39(f884(a876,a876),a35) % 159.04/158.75 [3499]E(f324(a876,a876,a249,a249),a35) % 159.04/158.75 [4464]~E(f78(a1),f2(a1)) % 159.04/158.75 [3084]E(f115(f2(a876)),f2(a876)) % 159.04/158.75 [3085]E(f4(f2(a103)),f2(a876)) % 159.04/158.75 [3097]E(f331(f79(a1),a83),a83) % 159.04/158.75 [3100]E(f331(a116,f2(a876)),f78(a876)) % 159.04/158.75 [3101]E(f331(a108,f78(a1)),f78(a876)) % 159.04/158.75 [3102]E(f331(a3,f78(a876)),f78(a103)) % 159.04/158.75 [3104]E(f331(a3,f2(a876)),f2(a103)) % 159.04/158.75 [3106]E(f331(f107(a1),a83),f2(a1)) % 159.04/158.75 [3107]E(f331(f107(a103),a83),f2(a103)) % 159.04/158.75 [3108]E(f331(a108,f2(a1)),f2(a876)) % 159.04/158.75 [3109]E(f331(f195(a871),a248),f2(a876)) % 159.04/158.75 [3110]E(f331(f195(a871),a193),f2(a876)) % 159.04/158.75 [3111]E(f331(f195(a873),a24),f2(a876)) % 159.04/158.75 [3112]E(f331(f107(a876),a83),f2(a876)) % 159.04/158.75 [3117]E(f331(f79(a1),f78(a1)),a101) % 159.04/158.75 [3124]E(f331(f79(a1),f2(a1)),f2(a1)) % 159.04/158.75 [3126]E(f331(f195(a103),f2(a103)),f2(a876)) % 159.04/158.75 [3127]E(f331(f104(a1),f78(a876)),f78(a1)) % 159.04/158.75 [3128]E(f331(f104(a1),f2(a876)),f2(a1)) % 159.04/158.75 [3134]E(f331(f236(a873),a881),f331(a26,a882)) % 159.04/158.75 [3143]E(f331(a108,f78(a1)),f331(a116,f2(a876))) % 159.04/158.75 [3144]E(f331(f178(a874,a873),a27),a26) % 159.04/158.75 [3145]E(f322(f884(a876,a876),a35),a36) % 159.04/158.75 [3146]E(f323(f884(a876,a876),a35),a37) % 159.04/158.75 [3168]E(f331(f251(a876),f2(a876)),f194(f885(a876,a871))) % 159.04/158.75 [3169]E(f331(f252(a876),f2(a876)),f253(f885(a876,a871))) % 159.04/158.75 [3177]P41(f194(f885(a1,a871))) % 159.04/158.75 [3213]E(f331(f331(f22(a103),f2(a103)),f78(a103)),f2(a103)) % 159.04/158.75 [3293]P104(f331(f331(f245(a1),a101),f2(a1))) % 159.04/158.75 [3318]P104(f331(f331(f244(a1),f2(a1)),f78(a1))) % 159.04/158.75 [3320]P104(f331(f331(f245(a1),f2(a1)),f78(a1))) % 159.04/158.75 [3491]P104(f331(f62(a874),f184(a874,a873,a26))) % 159.04/158.75 [3529]E(f331(f331(f287(a876,a876,a876),a321),f306(a876,a321)),a249) % 159.04/158.75 [3567]P42(a1,a876,a108,f331(f244(a1),f2(a1))) % 159.04/158.75 [3571]E(f331(f331(f42(a876,f885(a876,a871)),f253(f885(a876,a871))),f251(a876)),f253(f885(a876,a871))) % 159.04/158.75 [3572]E(f331(f331(f42(a876,f885(a876,a871)),f253(f885(a876,a871))),f252(a876)),f253(f885(a876,a871))) % 159.04/158.75 [3573]E(f331(f331(f42(a876,f885(a876,a871)),f253(f885(a876,a871))),f299(a876)),f253(f885(a876,a871))) % 159.04/158.75 [3574]E(f331(f331(f43(a876,f885(a876,a871)),f253(f885(a876,a871))),f302(a876)),f194(f885(a876,a871))) % 159.04/158.75 [3590]P21(a876,a1,f104(a1),f253(f885(a876,a871))) % 159.04/158.75 [3601]P42(a876,a1,f104(a1),f331(f16(a871,a876),a193)) % 159.04/158.75 [3737]E(f331(f73(a876,a103,a1,a3),a108),f107(a103)) % 159.04/158.75 [3961]P54(a103,a876,a19,a3,f253(f885(a876,a871))) % 159.04/158.75 [3970]P54(a1,f885(f884(a876,a876),a871),a110,a89,a102) % 159.04/158.75 [4236]E(f270(a1,a1,a1,a1,f34(a1),f79(a1)),a51) % 159.04/158.75 [4487]~E(f331(f107(a1),a101),f331(f107(a1),a83)) % 159.04/158.75 [4488]~P104(f331(a200,f78(a1))) % 159.04/158.75 [4489]~P104(f331(a200,f2(a1))) % 159.04/158.75 [4531]~P104(f331(f331(f245(a1),a83),f2(a1))) % 159.04/158.75 [3160]E(f331(f331(f22(a1),a101),a101),a83) % 159.04/158.75 [3175]E(f331(f104(a1),f331(a116,f2(a876))),f78(a1)) % 159.04/158.75 [3242]E(f331(f38(a879),f253(f885(a879,a871))),f78(a876)) % 159.04/158.75 [3263]P104(f331(a200,f331(f107(a1),a101))) % 159.04/158.75 [3265]P104(f331(f331(f244(a1),a101),a83)) % 159.04/158.75 [3267]P104(f331(f331(f245(a1),a101),a83)) % 159.04/158.75 [3329]E(f331(f331(f308(a876),f2(a876)),f194(f885(a876,a871))),f331(f299(a876),f2(a876))) % 159.04/158.75 [3384]P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),a83))) % 159.04/158.75 [3396]E(f331(f309(a876,a876,a116),f253(f885(a876,a871))),f331(f302(a876),f2(a876))) % 159.04/158.75 [3435]P3(f884(a876,a876),f253(f885(f884(a876,a876),a871)),a112) % 159.04/158.75 [3745]E(f331(f73(a876,a1,a103,f104(a1)),a19),a20) % 159.04/158.75 [3805]P39(a876,f331(f250(f884(a876,a876)),f331(f269(a876,a876,a871),f245(a876)))) % 159.04/158.75 [4520]~P104(f331(a200,f331(f107(a1),a83))) % 159.04/158.75 [4521]~P104(f331(f331(f244(a1),a83),a101)) % 159.04/158.75 [4522]~P104(f331(f331(f245(a1),a83),a83)) % 159.04/158.75 [4523]~P104(f331(f331(f245(a1),a83),a101)) % 159.04/158.75 [4524]~P104(f331(f331(f245(a1),a101),a101)) % 159.04/158.75 [4525]~P104(f331(f331(f91(a1),a83),a101)) % 159.04/158.75 [4526]~P104(f331(f331(f91(a1),a101),a83)) % 159.04/158.75 [4537]~P104(f331(f62(a876),f253(f885(a876,a871)))) % 159.04/158.75 [4538]~P104(f331(f62(a1),f253(f885(a1,a871)))) % 159.04/158.75 [4408]E(f331(f269(a1,a1,a871),f331(f331(f8(f885(a1,a871),f885(a1,a871),a1),f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f245(a1),f2(a1))))),f331(f331(f7(a1,a1,f885(a1,a871)),f331(f331(f8(f885(a1,f885(a1,a871)),f885(a1,f885(a1,a871)),a1),f7(a1,a1,a871)),f331(f331(f8(f885(a1,a1),f885(a1,f885(a1,a871)),a1),f331(f8(a1,f885(a1,a871),a1),a328)),a226))),f78(a1)))),a222) % 159.04/158.75 [4566]~P20(a872,a886,f331(f331(f308(f875(a872)),f331(f331(f331(f92(a872),a328),f331(a28,a882)),f201(f331(a28,a882)))),f194(f885(f875(a872),a871)))) % 159.04/158.75 [3473]E(f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101),f331(f79(a1),a101)) % 159.04/158.75 [3512]E(f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101),f331(f331(f22(a1),a83),a101)) % 159.04/158.75 [3671]E(f331(f331(f61(f884(a876,a876)),f253(f885(f884(a876,a876),a871))),a112),a102) % 159.04/158.75 [3700]E(f331(f107(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f78(a1)) % 159.04/158.75 [3701]E(f331(f107(a103),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f78(a103)) % 159.04/158.75 [3702]E(f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f78(a876)) % 159.04/158.75 [3706]E(f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(a116,f2(a876))) % 159.04/158.75 [4095]E(f331(f331(f114(f885(f884(f884(a876,a876),f884(a876,a876)),a871)),a35),f306(f884(a876,a876),f194(f885(f884(f884(a876,a876),f884(a876,a876)),a871)))),a70) % 159.04/158.75 [4167]E(f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),f78(a876)),f2(a876))),f194(f885(f884(a876,a876),a871))))),f78(a1)) % 159.04/158.75 [4168]E(f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),f2(a876)),f2(a876))),f194(f885(f884(a876,a876),a871))))),f2(a1)) % 159.04/158.75 [4183]E(f331(f250(f884(a876,a876)),f331(f269(a876,a876,a871),f331(f331(f8(a876,f885(a876,a871),a876),f331(f7(a876,a876,a871),a328)),a116))),a321) % 159.04/158.75 [4152]E(f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),f331(a116,f331(a116,f2(a876)))) % 159.04/158.75 [4155]E(f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),f331(f331(f80(a876),f78(a876)),f78(a876))) % 159.04/158.75 [4156]E(f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),f331(f38(a871),f253(f885(a871,a871)))) % 159.04/158.75 [4222]P29(f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))) % 159.04/158.75 [4295]P22(f885(f884(a876,a876),a871),f331(f331(f265(f885(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),a871),f885(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),a871)),a36),a71)) % 159.04/158.75 [4296]P22(f885(f884(a876,a876),a871),f331(f331(f265(f885(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),a871),f885(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),a871)),a37),a69)) % 159.04/158.75 [4336]E(f331(f331(f114(f885(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),a871)),f323(f884(a876,a876),a70)),f331(f331(f308(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),f331(f331(f265(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),f194(f885(f884(a876,a876),a871))),f194(f885(f884(a876,a876),a871)))),f194(f885(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),a871)))),a69) % 159.04/158.75 [4337]E(f331(f331(f114(f885(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),a871)),f322(f884(a876,a876),a70)),f331(f331(f308(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),f331(f331(f265(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),f194(f885(f884(a876,a876),a871))),f194(f885(f884(a876,a876),a871)))),f194(f885(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),a871)))),a71) % 159.04/158.75 [4224]E(f331(a108,f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(a116,f331(a116,f2(a876)))) % 159.04/158.75 [4272]E(f331(f104(a1),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))) % 159.04/158.75 [4307]P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))) % 159.04/158.75 [4308]E(f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),a101)),f331(a116,f331(a116,f331(a116,f2(a876))))) % 159.04/158.75 [4350]P29(f331(f107(a1),f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))) % 159.04/158.75 [4378]E(f331(f104(a1),f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))),f331(f107(a1),f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))) % 159.04/158.75 [4393]P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),a101)))) % 159.04/158.75 [3096]P2(x30961,a328) % 159.04/158.75 [3500]P21(a876,a876,a116,x35001) % 159.04/158.75 [3086]P94(f875(x30861)) % 159.04/158.75 [3087]P94(f880(x30871)) % 159.04/158.75 [3088]P94(f877(x30881)) % 159.04/158.75 [3089]P94(f878(x30891)) % 159.04/158.75 [3090]P103(f875(x30901)) % 159.04/158.75 [3091]P103(f880(x30911)) % 159.04/158.75 [3092]P103(f877(x30921)) % 159.04/158.75 [3093]P103(f878(x30931)) % 159.04/158.75 [3113]P39(a1,f109(x31131)) % 159.04/158.75 [3114]P39(a1,f111(x31141)) % 159.04/158.75 [3116]P40(x31161,f197(x31161)) % 159.04/158.75 [3165]P39(f885(x31651,a871),f305(x31651)) % 159.04/158.75 [3189]E(f254(x31891,x31891,a328),a328) % 159.04/158.75 [3204]E(f45(a1,x32041,x32041),f2(a1)) % 159.04/158.75 [3260]P11(x32601,f885(x32601,a871),f308(x32601)) % 159.04/158.75 [4466]~E(f331(a28,x44661),a24) % 159.04/158.75 [4468]~E(f331(a116,x44681),x44681) % 159.04/158.75 [4478]~E(f331(a116,x44781),f2(a876)) % 159.04/158.75 [3098]E(f331(f195(a876),x30981),x30981) % 159.04/158.75 [3099]E(f331(f107(a1),x30991),x30991) % 159.04/158.75 [3115]E(f331(a89,f332(x31151)),x31151) % 159.04/158.75 [3129]E(f118(x31291,f117(x31291)),f117(x31291)) % 159.04/158.75 [3130]E(f151(x31301,f117(x31301)),f117(x31301)) % 159.04/158.75 [3135]E(f31(f331(a28,x31351)),f2(a876)) % 159.04/158.75 [3140]E(f331(f167(x31401),f117(x31401)),f117(x31401)) % 159.04/158.75 [3141]E(f331(f171(x31411),f117(x31411)),f117(x31411)) % 159.04/158.75 [3142]E(f331(f168(x31421),f117(x31421)),f117(x31421)) % 159.04/158.75 [3148]E(f331(f107(a1),x31481),f331(f106(a1),x31481)) % 159.04/158.75 [3149]E(f331(a89,f331(a110,x31491)),x31491) % 159.04/158.75 [3151]E(f331(a3,f331(a19,x31511)),x31511) % 159.04/158.75 [3152]E(f331(a19,f331(a3,x31521)),x31521) % 159.04/158.75 [3153]P29(f331(f104(a1),x31531)) % 159.04/158.75 [3158]E(f331(f195(f880(x31581)),f197(x31581)),f2(a876)) % 159.04/158.75 [3159]E(f331(f195(f877(x31591)),f117(x31591)),f2(a876)) % 159.04/158.75 [3164]E(f331(f195(a873),f331(a28,x31641)),f2(a876)) % 159.04/158.75 [3173]E(f237(x31731,f197(x31731)),f194(f885(x31731,a871))) % 159.04/158.75 [3180]E(f331(f331(f22(a876),x31801),f2(a876)),x31801) % 159.04/158.75 [3181]E(f331(f331(f81(a876),x31811),f78(a876)),x31811) % 159.04/158.75 [3182]E(f331(f331(f81(a1),x31821),f78(a1)),x31821) % 159.04/158.75 [3183]E(f331(f331(f80(a876),x31831),f2(a876)),x31831) % 159.04/158.75 [3184]E(f331(f331(f80(a1),x31841),f2(a1)),x31841) % 159.04/158.75 [3185]E(f331(f331(f243(a876),x31851),f2(a876)),x31851) % 159.04/158.75 [3186]E(f331(f331(f81(a876),x31861),f2(a876)),f2(a876)) % 159.04/158.75 [3187]E(f331(f331(f39(a1),x31871),f2(a1)),f2(a1)) % 159.04/158.75 [3188]E(f331(f331(f242(a876),x31881),f2(a876)),f2(a876)) % 159.04/158.75 [3195]E(f331(f172(x31951),f117(x31951)),f194(f885(x31951,a871))) % 159.04/158.75 [3199]P104(f331(f136(x31991),f117(x31991))) % 159.04/158.75 [3205]E(f331(f208(x32051,x32051),f5(x32051)),f34(f880(x32051))) % 159.04/158.75 [3206]E(f331(f208(x32061,x32061),f34(x32061)),f34(f880(x32061))) % 159.04/158.75 [3207]E(f331(f153(x32071,x32071),f5(x32071)),f34(f877(x32071))) % 159.04/158.75 [3208]E(f331(f153(x32081,x32081),f34(x32081)),f34(f877(x32081))) % 159.04/158.75 [3209]E(f45(a1,x32091,f2(a1)),x32091) % 159.04/158.75 [3210]E(f331(f244(a876),f331(a116,x32101)),f331(f245(a876),x32101)) % 159.04/158.75 [3211]E(f331(f251(a876),f331(a116,x32111)),f331(f299(a876),x32111)) % 159.04/158.75 [3212]E(f331(f252(a876),f331(a116,x32121)),f331(f302(a876),x32121)) % 159.04/158.75 [3214]E(f45(a1,f2(a1),x32141),f2(a1)) % 159.04/158.75 [3226]E(f331(f331(f80(a876),x32261),f78(a876)),f331(a116,x32261)) % 159.04/158.75 [3236]E(f331(f300(a876,x32361),f2(a876)),f194(f885(a876,a871))) % 159.04/158.75 [3248]E(f301(a876,f2(a876),x32481),f331(f299(a876),x32481)) % 159.04/158.75 [3296]E(f331(f331(f22(a876),f331(a116,x32961)),f78(a876)),x32961) % 159.04/158.75 [3309]E(f47(f2(a1),x33091),f331(f331(f265(a1,a1),f2(a1)),f2(a1))) % 159.04/158.75 [3358]P104(f331(f331(f245(a876),x33581),f331(a116,x33581))) % 159.04/158.75 [3370]P104(f331(f331(f245(a876),f2(a876)),f331(a116,x33701))) % 159.04/158.75 [3657]E(f331(f331(f22(a103),f331(a3,f331(a116,f331(a19,x36571)))),f78(a103)),x36571) % 159.04/158.75 [3729]P104(f331(f331(f244(a1),f331(f79(a1),f331(f104(a1),x37291))),f2(a1))) % 159.04/158.75 [3877]P104(f331(f331(f245(a1),f331(f79(a1),f331(f104(a1),f331(a116,x38771)))),f2(a1))) % 159.04/158.75 [4495]~E(f253(f885(x44951,a871)),f194(f885(x44951,a871))) % 159.04/158.75 [4534]~P104(f331(f331(f245(a876),x45341),f2(a876))) % 159.04/158.75 [4546]~P104(f331(f331(f245(a1),f331(f104(a1),x45461)),f2(a1))) % 159.04/158.75 [3163]E(f180(x31631,f117(f877(x31631))),f117(f877(x31631))) % 159.04/158.75 [3166]E(f331(f331(f81(a1),a83),x31661),a83) % 159.04/158.75 [3167]E(f331(f331(f80(a1),a83),x31671),x31671) % 159.04/158.75 [3170]E(f331(a108,f331(f104(a1),x31701)),x31701) % 159.04/158.75 [3171]E(f331(f331(f22(a1),x31711),a83),x31711) % 159.04/158.75 [3172]E(f331(f331(f80(a1),x31721),a83),x31721) % 159.04/158.75 [3174]E(f331(f331(f22(a876),x31741),x31741),f2(a876)) % 159.04/158.75 [3178]E(f331(f79(a1),f331(f79(a1),x31781)),x31781) % 159.04/158.75 [3179]E(f331(f38(a876),f331(f251(a876),x31791)),x31791) % 159.04/158.75 [3190]E(f331(f331(f81(a876),f78(a876)),x31901),x31901) % 159.04/158.75 [3191]E(f331(f331(f81(a1),f78(a1)),x31911),x31911) % 159.04/158.75 [3192]E(f331(f331(f80(a876),f2(a876)),x31921),x31921) % 159.04/158.75 [3193]E(f331(f331(f80(a1),f2(a1)),x31931),x31931) % 159.04/158.75 [3194]E(f331(f331(f243(a876),f2(a876)),x31941),x31941) % 159.04/158.75 [3200]E(f331(f331(f22(a876),f2(a876)),x32001),f2(a876)) % 159.04/158.75 [3201]E(f331(f331(f81(a876),f2(a876)),x32011),f2(a876)) % 159.04/158.75 [3202]E(f331(f331(f39(a1),f2(a1)),x32021),f2(a1)) % 159.04/158.75 [3203]E(f331(f331(f242(a876),f2(a876)),x32031),f2(a876)) % 159.04/158.75 [3220]E(f331(f300(a876,f2(a876)),x32201),f331(f251(a876),x32201)) % 159.04/158.75 [3221]E(f331(f331(f81(a1),a101),x32211),f331(f79(a1),x32211)) % 159.04/158.75 [3228]E(f331(a108,f331(f107(a1),x32281)),f331(f107(a876),x32281)) % 159.04/158.75 [3229]E(f331(a19,f331(f107(a103),x32291)),f331(f107(a876),x32291)) % 159.04/158.75 [3230]E(f331(f38(a876),f331(f299(a876),x32301)),f331(a116,x32301)) % 159.04/158.75 [3240]E(f331(f331(f80(a876),f78(a876)),x32401),f331(a116,x32401)) % 159.04/158.75 [3244]E(f331(f106(a1),f331(f104(a1),x32441)),f331(f104(a1),x32441)) % 159.04/158.75 [3245]E(f331(f75(a1),f331(f104(a1),x32451)),f331(f104(a1),x32451)) % 159.04/158.75 [3250]E(f331(f38(x32501),f194(f885(x32501,a871))),f2(a876)) % 159.04/158.75 [3252]E(f331(f331(f39(a876),x32521),f331(a116,f2(a876))),x32521) % 159.04/158.75 [3261]E(f45(a876,x32611,f331(a116,f2(a876))),f2(a876)) % 159.04/158.75 [3262]E(f45(a1,x32621,f331(f107(a1),a101)),f2(a1)) % 159.04/158.75 [3278]E(f331(f331(f39(a1),x32781),f331(f107(a1),a101)),f331(f79(a1),x32781)) % 159.04/158.75 [3282]E(f138(a876,f331(f300(a876,x32821),f2(a876))),f117(a876)) % 159.04/158.75 [3283]E(f331(f331(f80(a1),x32831),f78(a1)),f331(f331(f22(a1),x32831),a101)) % 159.04/158.75 [3284]E(f331(f331(f22(a1),x32841),f78(a1)),f331(f331(f80(a1),x32841),a101)) % 159.04/158.75 [3289]P104(f331(f331(f201(a24),x32891),x32891)) % 159.04/158.75 [3290]P104(f331(f331(f244(a876),x32901),x32901)) % 159.04/158.75 [3291]P104(f331(f331(f244(a1),x32911),x32911)) % 159.04/158.75 [3292]P104(f331(f331(f91(a1),x32921),x32921)) % 159.04/158.75 [3297]E(f331(f79(a1),f331(f107(a1),x32971)),f331(f107(a1),f331(f79(a1),x32971))) % 159.04/158.75 [3298]P104(f331(f62(a876),f331(f251(a876),x32981))) % 159.04/158.75 [3299]P104(f331(f62(a876),f331(f299(a876),x32991))) % 159.04/158.75 [3307]E(f160(x33071,f253(f885(x33071,a871))),f253(f885(f877(x33071),a871))) % 159.04/158.75 [3312]P104(f331(f331(f244(a876),f2(a876)),x33121)) % 159.04/158.75 [3322]E(f331(f331(f80(a876),f115(x33221)),f331(a116,f2(a876))),f115(f331(a116,x33221))) % 159.04/158.75 [3323]E(f331(f250(x33231),f331(f16(a871,x33231),a248)),f194(f885(x33231,a871))) % 159.04/158.75 [3324]E(f331(f250(x33241),f331(f16(a871,x33241),a193)),f253(f885(x33241,a871))) % 159.04/158.75 [3328]E(f331(f331(f308(a876),x33281),f331(f251(a876),x33281)),f331(f251(a876),f331(a116,x33281))) % 159.04/158.75 [3340]E(f331(f331(f80(a1),f78(a1)),f331(f104(a1),x33401)),f331(f104(a1),f331(a116,x33401))) % 159.04/158.75 [3342]E(f331(f331(f150(f877(x33421)),f117(x33421)),f117(f877(x33421))),f54(x33421,f117(x33421))) % 159.04/158.75 [3361]E(f194(f885(f884(x33611,x33611),a871)),f262(x33611,f194(f885(x33611,a871)))) % 159.04/158.75 [3362]E(f331(f307(x33621),f253(f885(x33621,a871))),f253(f885(f885(x33621,a871),a871))) % 159.04/158.75 [3363]E(f331(f79(f885(x33631,a871)),f194(f885(x33631,a871))),f253(f885(x33631,a871))) % 159.04/158.75 [3364]E(f331(f79(f885(x33641,a871)),f253(f885(x33641,a871))),f194(f885(x33641,a871))) % 159.04/158.75 [3366]P104(f331(f62(x33661),f194(f885(x33661,a871)))) % 159.04/158.75 [3368]E(f331(f300(a876,x33681),f331(a116,x33681)),f331(f331(f308(a876),x33681),f194(f885(a876,a871)))) % 159.04/158.75 [3369]E(f85(f884(a876,a876),f48(x33691,f2(a876))),f331(f331(f265(a876,a876),f2(a876)),x33691)) % 159.04/158.75 [3383]E(f331(f331(f308(a876),f331(a116,x33831)),f331(f299(a876),x33831)),f331(f299(a876),f331(a116,x33831))) % 159.04/158.75 [3387]P39(x33871,f194(f885(f884(x33871,x33871),a871))) % 159.04/158.75 [3390]P104(f331(f331(f244(a1),f2(a1)),f331(f104(a1),x33901))) % 159.04/158.75 [3398]E(f331(f331(f80(a876),f331(f195(a876),x33981)),f331(a116,f2(a876))),f331(f195(a876),f331(a116,x33981))) % 159.04/158.75 [3507]P41(f331(f309(a876,a1,f104(a1)),x35071)) % 159.04/158.75 [3545]P49(x35451,f194(f885(x35451,a871)),f194(f885(f884(x35451,x35451),a871))) % 159.04/158.75 [3564]E(f331(f331(f265(a1,a1),f331(f107(a1),a101)),f331(f331(f22(a1),x35641),f78(a1))),f50(f331(f107(a1),a101),x35641)) % 159.04/158.75 [3613]P57(x36131,f331(f16(f885(x36131,a871),x36131),f331(f16(a871,x36131),a248))) % 159.04/158.75 [3817]P104(f331(f331(f333(f885(f884(a876,a876),a871)),f332(x38171)),a102)) % 159.04/158.75 [3843]P104(f331(f331(f333(f885(f884(a876,a876),a871)),f331(a110,x38431)),a102)) % 159.04/158.75 [3979]P21(x39791,f885(x39791,a871),f331(f331(f7(x39791,f885(x39791,a871),f885(x39791,a871)),f308(x39791)),f194(f885(x39791,a871))),f253(f885(x39791,a871))) % 159.04/158.75 [4491]~E(f331(f331(f80(a1),x44911),x44911),a101) % 159.04/158.75 [4519]~E(f331(a3,f331(a116,f331(a19,x45191))),f2(a103)) % 159.04/158.75 [4527]~P104(f331(a200,f331(f104(a1),x45271))) % 159.04/158.75 [4530]~P104(f331(f331(f245(a876),x45301),x45301)) % 159.04/158.75 [4539]~P104(f331(f331(f244(a876),f331(a116,x45391)),x45391)) % 159.04/158.75 [3314]E(f331(a108,f331(f79(a1),f331(f104(a1),x33141))),f2(a876)) % 159.04/158.75 [3317]E(f331(f331(f80(a1),f331(f79(a1),x33171)),x33171),f2(a1)) % 159.04/158.75 [3321]E(f331(f38(a1),f331(f300(a1,f2(a1)),x33211)),f331(a108,x33211)) % 159.04/158.75 [3333]E(f331(f331(f255(a876),f331(a116,f2(a876))),x33331),f331(a116,f2(a876))) % 159.04/158.75 [3432]E(f331(f283(x34321),f194(f885(f884(x34321,x34321),a871))),f194(f885(x34321,a871))) % 159.04/158.75 [3440]E(f40(f885(x34401,a871),f194(f885(f885(x34401,a871),a871))),f194(f885(x34401,a871))) % 159.04/158.75 [3441]E(f40(f885(x34411,a871),f253(f885(f885(x34411,a871),a871))),f253(f885(x34411,a871))) % 159.04/158.75 [3442]E(f41(f885(x34421,a871),f194(f885(f885(x34421,a871),a871))),f253(f885(x34421,a871))) % 159.04/158.75 [3443]E(f41(f885(x34431,a871),f253(f885(f885(x34431,a871),a871))),f194(f885(x34431,a871))) % 159.04/158.75 [3489]E(f331(f331(f308(f877(x34891)),f117(x34891)),f194(f885(f877(x34891),a871))),f160(x34891,f194(f885(x34891,a871)))) % 159.04/158.75 [3490]E(f331(f331(f308(f877(x34901)),f117(x34901)),f194(f885(f877(x34901),a871))),f161(x34901,f117(f885(x34901,a871)))) % 159.04/158.75 [3528]E(f331(f331(f80(a876),f4(x35281)),f331(a116,f2(a876))),f4(f331(a3,f331(a116,f331(a19,x35281))))) % 159.04/158.75 [3556]E(f331(f38(a1),f331(f309(a876,a1,f104(a1)),x35561)),f331(f38(a876),x35561)) % 159.04/158.75 [3557]P104(f331(f331(f244(a876),x35571),f331(f331(f81(a876),x35571),x35571))) % 159.04/158.75 [3594]E(f331(f309(a1,a876,a108),f301(a1,f2(a1),f331(f104(a1),x35941))),f331(f299(a876),x35941)) % 159.04/158.75 [3608]E(f331(f331(f39(a876),f331(a116,f2(a876))),f331(f107(a876),x36081)),f331(a108,f331(f331(f39(a1),f78(a1)),f331(f107(a1),x36081)))) % 159.04/158.75 [3610]E(f331(f172(a876),f138(a876,f331(f300(a876,f2(a876)),f331(a116,x36101)))),f331(f299(a876),x36101)) % 159.04/158.75 [3611]E(f331(f331(f80(a876),f331(f195(a103),x36111)),f331(a116,f2(a876))),f331(f195(a103),f331(a3,f331(a116,f331(a19,x36111))))) % 159.04/158.75 [3631]E(f331(f309(a1,a876,a108),f331(f309(a876,a1,f104(a1)),x36311)),x36311) % 159.04/158.75 [3663]E(f331(f331(f308(a876),f2(a876)),f331(f309(a876,a876,a116),f331(f251(a876),x36631))),f331(f251(a876),f331(a116,x36631))) % 159.04/158.75 [3670]P52(x36701,x36701,f306(x36701,f194(f885(f884(x36701,x36701),a871)))) % 159.04/158.75 [3676]P104(f331(a200,f331(f79(a1),f331(f104(a1),f331(a116,x36761))))) % 159.04/158.75 [3687]E(f331(f331(f22(f885(a876,a871)),f331(f252(a876),x36871)),f331(f331(f308(a876),x36871),f194(f885(a876,a871)))),f331(f252(a876),f331(a116,x36871))) % 159.04/158.75 [3703]E(f331(f331(f80(a1),f331(f331(f22(a1),a83),x37031)),f331(f331(f22(a1),a83),x37031)),f331(f331(f22(a1),a83),f331(f331(f80(a1),x37031),x37031))) % 159.04/158.75 [3719]E(f331(f331(f308(f885(x37191,a871)),f194(f885(x37191,a871))),f194(f885(f885(x37191,a871),a871))),f331(f307(x37191),f194(f885(x37191,a871)))) % 159.04/158.75 [3746]E(f331(f331(f22(f885(a876,a871)),f331(f302(a876),x37461)),f331(f331(f308(a876),f331(a116,x37461)),f194(f885(a876,a871)))),f331(f302(a876),f331(a116,x37461))) % 159.04/158.75 [3754]E(f331(f331(f308(f880(x37541)),f197(x37541)),f331(f309(x37541,f880(x37541),f236(x37541)),f253(f885(x37541,a871)))),f253(f885(f880(x37541),a871))) % 159.04/158.75 [3855]E(f331(f107(a876),f331(f331(f80(a1),x38551),x38551)),f331(f331(f86(a876,a876),f331(f107(a876),x38551)),f331(f331(f18(a876,a876,a876),f80(a876)),f5(a876)))) % 159.04/158.75 [4245]P11(x42451,f885(x42451,a871),f331(f331(f8(f885(x42451,a871),f885(f885(x42451,a871),f885(x42451,a871)),x42451),f331(f7(f885(x42451,a871),f885(x42451,a871),f885(x42451,a871)),f22(f885(x42451,a871)))),f331(f331(f7(x42451,f885(x42451,a871),f885(x42451,a871)),f308(x42451)),f194(f885(x42451,a871))))) % 159.04/158.75 [4335]E(f331(f250(f884(a1,a1)),f331(f269(a1,a1,a871),f331(f331(f8(f885(a1,a871),f885(a1,a871),a1),f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f244(a1),x43351)))),f245(a1)))),f111(x43351)) % 159.04/158.75 [4368]E(f331(f250(f884(a1,a1)),f331(f269(a1,a1,a871),f331(f331(f18(a1,f885(a1,a871),f885(a1,a871)),f331(f331(f8(f885(a871,a871),f885(f885(a1,a871),f885(a1,a871)),a1),f8(a871,a871,a1)),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f244(a1),x43681)))),f245(a1)))),f109(x43681)) % 159.04/158.75 [4423]E(f331(f250(f884(f885(x44231,a871),f885(x44231,a871))),f331(f269(f885(x44231,a871),f885(x44231,a871),a871),f331(f331(f7(f885(x44231,a871),f885(f885(x44231,a871),a871),f885(f885(x44231,a871),a871)),f331(f331(f8(f885(f885(x44231,a871),f885(a871,a871)),f885(f885(f885(x44231,a871),a871),f885(f885(x44231,a871),a871)),f885(x44231,a871)),f18(f885(x44231,a871),a871,a871)),f331(f331(f8(f885(f885(x44231,a871),a871),f885(f885(x44231,a871),f885(a871,a871)),f885(x44231,a871)),f331(f8(a871,f885(a871,a871),f885(x44231,a871)),a329)),f245(f885(x44231,a871))))),f62(x44231)))),f305(x44231)) % 159.04/158.75 [4543]~P104(f331(f62(f877(x45431)),f253(f885(f877(x45431),a871)))) % 159.04/158.75 [4548]~P104(f331(f331(f91(a1),a101),f331(f331(f80(a1),x45481),x45481))) % 159.04/158.75 [4558]~P104(f331(f331(f244(a1),f2(a1)),f331(f79(a1),f331(f104(a1),f331(a116,x45581))))) % 159.04/158.75 [3467]E(f331(f331(f22(a1),f331(f331(f80(a1),x34671),a101)),a101),x34671) % 159.04/158.75 [3483]E(f331(f172(a876),f138(a876,f331(f300(a876,f2(a876)),x34831))),f331(f251(a876),x34831)) % 159.04/158.75 [3725]E(f331(f331(f80(a1),f331(f331(f80(a1),f78(a1)),x37251)),x37251),f331(f331(f22(a1),f331(f331(f80(a1),x37251),x37251)),a101)) % 159.04/158.75 [3772]E(f331(f285(x37721,x37721),f306(x37721,f194(f885(f884(x37721,x37721),a871)))),f306(x37721,f194(f885(f884(x37721,x37721),a871)))) % 159.04/158.75 [3820]P104(f331(f331(f244(a876),x38201),f331(f331(f81(a876),x38201),f331(f331(f81(a876),x38201),x38201)))) % 159.04/158.75 [4099]P104(f331(f62(a876),f331(f250(a876),f331(f331(f7(a876,a876,a871),f244(a876)),x40991)))) % 159.04/158.75 [4100]P104(f331(f62(a876),f331(f250(a876),f331(f331(f7(a876,a876,a871),f245(a876)),x41001)))) % 159.04/158.75 [4388]E(f331(f250(f884(x43881,x43881)),f331(f331(f8(f885(x43881,a871),a871,f884(x43881,x43881)),f87(x43881)),f331(f331(f7(f884(x43881,x43881),f885(x43881,f884(x43881,x43881)),f885(x43881,a871)),f331(f331(f8(f885(f884(x43881,x43881),a871),f885(f885(x43881,f884(x43881,x43881)),f885(x43881,a871)),f884(x43881,x43881)),f8(f884(x43881,x43881),a871,x43881)),a328)),f331(f331(f18(x43881,x43881,f884(x43881,x43881)),f265(x43881,x43881)),f5(x43881))))),f306(x43881,f194(f885(f884(x43881,x43881),a871)))) % 159.04/158.75 [4545]~E(f331(f331(f22(a1),f331(f331(f80(a1),x45451),x45451)),a101),a83) % 159.04/158.75 [4547]~E(f331(f331(f80(a1),f331(f331(f80(a1),f78(a1)),x45471)),x45471),f2(a1)) % 159.04/158.75 [4555]~P104(f331(f331(f91(a1),f331(f331(f80(a1),x45551),x45551)),a101)) % 159.04/158.75 [3866]E(f331(f331(f80(a1),f331(f331(f22(a1),a101),x38661)),f331(f331(f22(a1),a101),x38661)),f331(f331(f22(a1),a101),f331(f331(f22(a1),f331(f331(f80(a1),x38661),x38661)),a101))) % 159.04/158.75 [3988]E(f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f22(a1),a101),x39881)),f331(f331(f22(a1),a101),x39881))),a101),f331(f331(f22(a1),a101),f331(f331(f80(a1),x39881),x39881))) % 159.04/158.75 [4023]E(f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f80(a1),x40231),a101)),f331(f331(f80(a1),x40231),a101))),a101),f331(f331(f80(a1),f331(f331(f80(a1),x40231),x40231)),a101)) % 159.04/158.75 [4061]E(f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f22(a1),a101),x40611)),f331(f331(f22(a1),a101),x40611))),a101),f331(f331(f22(a1),a83),f331(f331(f22(a1),f331(f331(f80(a1),x40611),x40611)),a101))) % 159.04/158.75 [4163]E(f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x41631),f2(a876))),f194(f885(f884(a876,a876),a871))))),f331(f104(a1),x41631)) % 159.04/158.75 [4173]E(f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),f336(x41731)),f537(x41731))),f194(f885(f884(a876,a876),a871))))),x41731) % 159.04/158.75 [4207]E(f331(f250(a1),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f244(a1),f2(a1)))),x42071)),f331(f309(a876,a1,f104(a1)),f331(f250(a876),f331(f331(f8(a1,a871,a876),x42071),f104(a1))))) % 159.04/158.75 [4253]P41(f331(f250(a1),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f244(a1),f2(a1)))),x42531))) % 159.04/158.75 [4275]P104(f331(f331(f333(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),f331(f331(f265(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),x42751),f194(f885(f884(a876,a876),a871)))),a71)) % 159.04/158.75 [4281]E(f331(f309(a1,a876,a108),f331(f250(a1),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f244(a1),f2(a1)))),f331(f331(f8(a876,a871,a1),x42811),a108)))),f331(f250(a876),x42811)) % 159.04/158.75 [4437]E(f311(a876,f331(f331(f42(f884(a876,a876),f885(a876,a871)),f331(a110,x44371)),f331(f269(a876,a876,f885(a876,a871)),f331(f331(f7(a876,f885(a876,a871),f885(a876,f885(a876,a871))),f331(f331(f8(f885(a876,f885(f885(a876,a871),f885(a876,a871))),f885(f885(a876,a871),f885(a876,f885(a876,a871))),a876),f7(a876,f885(a876,a871),f885(a876,a871))),f331(f331(f8(f885(a876,a876),f885(a876,f885(f885(a876,a871),f885(a876,a871))),a876),f331(f8(a876,f885(f885(a876,a871),f885(a876,a871)),a876),f308(a876))),f22(a876)))),f194(f885(a876,a871)))))),f331(a108,x44371)) % 159.04/158.75 [4560]~P104(f331(f331(f91(a1),a83),f331(f331(f22(a1),f331(f331(f80(a1),x45601),x45601)),a101))) % 159.04/158.75 [3911]E(f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),x39111),x39111)),a101)),a101),f331(f331(f80(a1),x39111),x39111)) % 159.04/158.75 [3962]E(f331(f331(f22(a1),f331(f331(f22(a1),f331(f331(f80(a1),x39621),x39621)),a101)),a101),f331(f331(f80(a1),f331(f331(f22(a1),x39621),a101)),f331(f331(f22(a1),x39621),a101))) % 159.04/158.75 [4181]E(f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f80(a1),f331(f79(a1),x41811)),a101)),f331(f331(f80(a1),f331(f79(a1),x41811)),a101))),a101),f331(f79(a1),f331(f331(f22(a1),f331(f331(f80(a1),x41811),x41811)),a101))) % 159.04/158.75 [4569]~P104(f331(f331(f91(a1),f331(f331(f22(a1),f331(f331(f80(a1),x45691),x45691)),a101)),a83)) % 159.04/158.75 [4225]E(f331(f331(f80(a876),x42251),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(a116,f331(a116,x42251))) % 159.04/158.75 [4226]E(f331(f331(f81(a876),x42261),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f80(a876),x42261),x42261)) % 159.04/158.75 [4227]E(f331(f331(f39(a876),f331(f331(f80(a876),x42271),x42271)),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x42271) % 159.04/158.75 [4310]E(f45(a876,f331(a116,f331(a116,x43101)),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f45(a876,x43101,f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))) % 159.04/158.75 [4452]E(f331(a89,f331(f331(f42(f884(a876,a876),f885(f884(a876,a876),a871)),f331(a110,x44521)),f331(f269(a876,a876,f885(f884(a876,a876),a871)),f331(f331(f8(f885(a876,f885(f884(a876,a876),a871)),f885(a876,f885(f884(a876,a876),a871)),a876),f331(f8(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871),a876),f284(f884(a876,a876),f884(a876,a876),a112))),f331(f331(f7(a876,f885(f884(a876,a876),a871),f885(a876,f885(f884(a876,a876),a871))),f331(f331(f8(f885(a876,f885(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),f885(f885(f884(a876,a876),a871),f885(a876,f885(f884(a876,a876),a871))),a876),f7(a876,f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),f331(f331(f8(f885(a876,f884(a876,a876)),f885(a876,f885(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),a876),f331(f8(f884(a876,a876),f885(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),a876),f308(f884(a876,a876)))),f331(f7(a876,a876,f884(a876,a876)),f265(a876,a876))))),f194(f885(f884(a876,a876),a871))))))),f331(f79(a1),x44521)) % 159.04/158.75 [4305]E(f331(f331(f80(a876),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x43051),f331(a116,f331(a116,x43051))) % 159.04/158.75 [4306]E(f331(f331(f81(a876),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x43061),f331(f331(f80(a876),x43061),x43061)) % 159.04/158.75 [4340]E(f331(f331(f39(a876),f331(a116,f331(a116,x43401))),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(a116,f331(f331(f39(a876),x43401),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))) % 159.04/158.75 [4394]E(f331(f331(f80(a876),f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))),x43941),f331(a116,f331(a116,f331(a116,x43941)))) % 159.04/158.75 [4460]E(f331(f269(a1,a1,f884(a1,a1)),f331(f331(f18(a1,f885(a1,f884(a1,a1)),f885(a1,f884(a1,a1))),f331(f331(f8(f885(a1,f885(f884(a1,a1),f884(a1,a1))),f885(f885(a1,f884(a1,a1)),f885(a1,f884(a1,a1))),a1),f18(a1,f884(a1,a1),f884(a1,a1))),f331(f331(f8(f885(a1,f884(a1,a1)),f885(a1,f885(f884(a1,a1),f884(a1,a1))),a1),f331(f18(a1,f884(a1,a1),f885(f884(a1,a1),f884(a1,a1))),f331(f331(f8(a871,f885(f884(a1,a1),f885(f884(a1,a1),f884(a1,a1))),a1),f100(f884(a1,a1))),f331(f331(f8(a1,a871,a1),f331(f244(a1),f2(a1))),f331(f331(f7(a1,a1,a1),f22(a1)),x44601))))),f331(f331(f7(a1,f885(a1,a1),f885(a1,f884(a1,a1))),f331(f331(f8(f885(a1,f884(a1,a1)),f885(f885(a1,a1),f885(a1,f884(a1,a1))),a1),f8(a1,f884(a1,a1),a1)),f331(f331(f8(a1,f885(a1,f884(a1,a1)),a1),f265(a1,a1)),f331(f331(f7(a1,a1,a1),f331(f331(f8(a1,f885(a1,a1),a1),f80(a1)),f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))),f78(a1))))),f331(f331(f7(a1,a1,a1),f22(a1)),x44601))))),f331(f331(f8(a1,f885(a1,f884(a1,a1)),a1),f265(a1,a1)),f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))))),f44(x44601)) % 159.04/158.75 [3136]P94(f883(x31361,x31362)) % 159.04/158.75 [3137]P94(f884(x31371,x31372)) % 159.04/158.75 [3138]P103(f883(x31381,x31382)) % 159.04/158.75 [3139]P103(f884(x31391,x31392)) % 159.04/158.75 [3156]P30(a1,f179(x31561,x31562)) % 159.04/158.75 [3157]P39(x31571,f152(x31571,x31572)) % 159.04/158.75 [3222]P33(x32221,x32222,f117(x32221)) % 159.04/158.75 [3256]P49(x32561,x32562,f262(x32561,x32562)) % 159.04/158.75 [3257]P52(x32571,x32571,f262(x32571,x32572)) % 159.04/158.75 [3531]P21(x35311,x35311,f5(x35311),x35312) % 159.04/158.75 [3532]P21(x35321,x35321,f34(x35321),x35322) % 159.04/158.75 [3540]P34(x35401,x35402,f117(x35401),f117(x35401)) % 159.04/158.75 [3541]P21(x35411,f880(x35411),f236(x35411),x35412) % 159.04/158.75 [3550]P21(f877(x35501),f877(x35501),f168(x35501),x35502) % 159.04/158.75 [4471]~E(f33(x44711,x44712),a24) % 159.04/158.75 [4472]~E(f32(x44721,x44722),a24) % 159.04/158.75 [4502]~P35(x45021,x45022,f117(x45021)) % 159.04/158.75 [4503]~P37(x45031,x45032,f117(x45031)) % 159.04/158.75 [3118]E(f331(f5(x31181),x31182),x31182) % 159.04/158.75 [3119]E(f331(f250(x31191),x31192),x31192) % 159.04/158.75 [3121]E(f331(f34(x31211),x31212),x31212) % 159.04/158.75 [3131]E(f331(f198(x31311),x31312),f119(x31311)) % 159.04/158.75 [3154]E(f85(x31541,f331(a328,x31542)),x31542) % 159.04/158.75 [3155]E(f90(x31551,f331(a328,x31552)),x31552) % 159.04/158.75 [3176]E(f331(f135(x31761,x31762),f117(x31761)),f117(x31761)) % 159.04/158.75 [3196]E(f151(x31961,f151(x31961,x31962)),f151(x31961,x31962)) % 159.04/158.75 [3197]E(f306(x31971,f306(x31971,x31972)),f306(x31971,x31972)) % 159.04/158.75 [3217]E(f331(f331(f126(x32171),x32172),f117(x32171)),x32172) % 159.04/158.75 [3223]E(f173(x32231,x32232,f117(x32231)),x32232) % 159.04/158.75 [3224]E(f173(x32241,f117(x32241),x32242),x32242) % 159.04/158.75 [3225]E(f169(x32251,f2(a876),x32252),f117(x32251)) % 159.04/158.75 [3231]E(f331(f331(f175(x32311),x32312),f117(x32311)),f117(x32311)) % 159.04/158.75 [3232]E(f331(f331(f137(x32321),x32322),f117(x32321)),f117(x32321)) % 159.04/158.75 [3234]E(f238(x32341,x32342,f197(x32341)),f2(a876)) % 159.04/158.75 [3235]E(f154(x32351,x32352,f117(x32351)),f2(a876)) % 159.04/158.75 [3237]E(f170(x32371,x32372,f117(x32371)),f117(x32371)) % 159.04/158.75 [3238]E(f177(x32381,x32382,f117(x32381)),f117(x32381)) % 159.04/158.75 [3239]E(f176(x32391,f117(x32391),x32392),f117(x32391)) % 159.04/158.75 [3243]E(f331(f172(x32431),f151(x32431,x32432)),f331(f172(x32431),x32432)) % 159.04/158.75 [3246]E(f331(f261(x32461,x32461),f262(x32461,x32462)),x32462) % 159.04/158.75 [3247]E(f331(f263(x32471,x32471),f262(x32471,x32472)),x32472) % 159.04/158.75 [3255]E(f331(f285(x32551,x32551),f262(x32551,x32552)),f262(x32551,x32552)) % 159.04/158.75 [3270]E(f306(f877(x32701),f156(x32701,x32702)),f157(x32701,f306(x32701,x32702))) % 159.04/158.75 [3272]P104(f331(f136(a1),f179(x32721,x32722))) % 159.04/158.75 [3280]E(f331(f261(x32801,x32801),f306(x32801,x32802)),f253(f885(x32801,a871))) % 159.04/158.75 [3281]E(f331(f263(x32811,x32811),f306(x32811,x32812)),f253(f885(x32811,a871))) % 159.04/158.75 [3285]P104(f331(f136(x32851),f151(x32851,x32852))) % 159.04/158.75 [3287]P104(f331(f159(x32871,x32872),f117(x32871))) % 159.04/158.75 [3295]E(f331(f172(a1),f179(x32951,x32952)),f301(a1,x32951,x32952)) % 159.04/158.75 [3310]P53(x33101,f194(f885(x33101,a871)),x33102) % 159.04/158.75 [3315]E(f331(f268(a1,a1),f46(x33151,x33152)),f45(a1,x33151,x33152)) % 159.04/158.75 [3316]E(f331(f300(a876,x33161),f331(a116,x33162)),f301(a876,x33161,x33162)) % 159.04/158.75 [3332]E(f331(f331(f150(x33321),x33322),f117(x33321)),f139(x33321,x33322,f117(x33321))) % 159.04/158.75 [3344]E(f301(a876,f331(a116,x33441),x33442),f303(a876,x33441,x33442)) % 159.04/158.75 [3347]P49(x33471,f253(f885(x33471,a871)),f306(x33471,x33472)) % 159.04/158.75 [3409]E(f331(f331(f22(a876),x34091),f331(a116,x34092)),f331(f38(a876),f304(a876,x34092,x34091))) % 159.04/158.75 [3468]E(f166(x34681,x34682,f117(x34681)),f331(f331(f265(f877(x34681),f877(x34681)),f117(x34681)),f117(x34681))) % 159.04/158.75 [3487]E(f331(f269(x34871,x34872,f884(x34871,x34872)),f265(x34871,x34872)),f34(f884(x34871,x34872))) % 159.04/158.75 [3492]P104(f331(f331(f333(f877(x34921)),f117(x34921)),f160(x34921,x34922))) % 159.04/158.75 [3493]E(f331(f195(f877(x34931)),f118(x34931,x34932)),f331(f331(f22(a876),f331(f195(f877(x34931)),x34932)),f78(a876))) % 159.04/158.75 [3501]P104(f331(f62(a876),f304(a876,x35011,x35012))) % 159.04/158.75 [3502]P104(f331(f62(a876),f303(a876,x35021,x35022))) % 159.04/158.75 [3503]P104(f331(f62(a876),f301(a876,x35031,x35032))) % 159.04/158.75 [3504]P104(f331(f62(a1),f304(a1,x35041,x35042))) % 159.04/158.75 [3505]P104(f331(f62(a1),f303(a1,x35051,x35052))) % 159.04/158.75 [3506]P104(f331(f62(a1),f301(a1,x35061,x35062))) % 159.04/158.75 [3607]E(f331(f309(a876,a876,a116),f301(a876,x36071,x36072)),f301(a876,f331(a116,x36071),f331(a116,x36072))) % 159.04/158.75 [3628]E(f331(f331(f287(x36281,x36281,x36281),f306(x36281,x36282)),f306(x36281,x36282)),f306(x36281,x36282)) % 159.04/158.75 [3661]E(f331(f331(f265(a1,a1),f331(f331(f39(a1),x36611),x36612)),f45(a1,x36611,x36612)),f46(x36611,x36612)) % 159.04/158.75 [3662]E(f331(f331(f265(a103,a103),f331(f331(f39(a103),x36621),x36622)),f45(a103,x36621,x36622)),f21(x36621,x36622)) % 159.04/158.75 [3691]E(f331(f331(f265(a876,a876),f331(f331(f39(a876),x36911),x36912)),f45(a876,x36911,x36912)),f85(f884(a876,a876),f48(x36911,x36912))) % 159.04/158.75 [3742]P104(f331(f331(f245(a876),f331(f331(f22(a876),x37421),x37422)),f331(a116,x37421))) % 159.04/158.75 [3842]E(f331(f331(f80(a1),f331(f331(f81(a1),x38421),f331(f331(f39(a1),x38422),x38421))),f45(a1,x38422,x38421)),x38422) % 159.04/158.75 [3846]E(f331(f331(f42(a876,f885(f884(f877(x38461),f877(x38461)),a871)),f253(f885(a876,a871))),f142(x38461,x38462)),f144(x38461,x38462)) % 159.04/158.75 [4074]P104(f331(f331(f333(f884(f877(x40741),f877(x40741))),f331(f331(f265(f877(x40741),f877(x40741)),f117(x40741)),f117(x40741))),f157(x40741,x40742))) % 159.04/158.75 [4238]E(f270(x42381,x42381,x42382,x42382,f5(x42381),f5(x42382)),f34(f884(x42381,x42382))) % 159.04/158.75 [4240]E(f270(x42401,x42401,x42402,x42402,f34(x42401),f34(x42402)),f34(f884(x42401,x42402))) % 159.04/158.75 [4480]~E(f331(f236(x44801),x44802),f197(x44801)) % 159.04/158.75 [4492]~P40(x44921,f331(f236(x44921),x44922)) % 159.04/158.75 [3215]E(f331(f241(x32151),f331(f236(x32151),x32152)),x32152) % 159.04/158.75 [3216]E(f331(f168(x32161),f331(f168(x32161),x32162)),x32162) % 159.04/158.75 [3218]E(f331(f331(f137(x32181),f2(a876)),x32182),x32182) % 159.04/158.75 [3233]E(f331(f331(f175(x32331),f2(a876)),x32332),f117(x32331)) % 159.04/158.75 [3241]E(f331(f331(f126(x32411),f117(x32411)),x32412),x32412) % 159.04/158.75 [3249]E(f331(f195(f880(x32491)),f331(f236(x32491),x32492)),f2(a876)) % 159.04/158.75 [3251]E(f40(f885(x32511,a871),f331(f307(x32511),x32512)),x32512) % 159.04/158.75 [3253]E(f331(f172(x32531),f331(f167(x32531),x32532)),f331(f172(x32531),x32532)) % 159.04/158.75 [3254]E(f331(f172(x32541),f331(f168(x32541),x32542)),f331(f172(x32541),x32542)) % 159.04/158.75 [3259]E(f331(f331(f22(a103),x32591),x32592),f331(f331(a23,x32591),x32592)) % 159.04/158.75 [3274]E(f331(f331(f81(a876),x32741),x32742),f331(f331(f81(a876),x32742),x32741)) % 159.04/158.75 [3275]E(f331(f331(f81(a1),x32751),x32752),f331(f331(f81(a1),x32752),x32751)) % 159.04/158.75 [3276]E(f331(f331(f80(a876),x32761),x32762),f331(f331(f80(a876),x32762),x32761)) % 159.04/158.75 [3277]E(f331(f331(f80(a1),x32771),x32772),f331(f331(f80(a1),x32772),x32771)) % 159.04/158.75 [3302]E(f331(f331(f189(x33021,x33021),f2(a876)),x33022),f34(x33021)) % 159.04/158.75 [3303]E(f331(f195(f877(x33031)),f331(f167(x33031),x33032)),f331(f195(f877(x33031)),x33032)) % 159.04/158.75 [3304]E(f331(f195(f877(x33041)),f331(f168(x33041),x33042)),f331(f195(f877(x33041)),x33042)) % 159.04/158.75 [3305]E(f176(x33051,x33052,f194(f885(a876,a871))),f117(x33051)) % 159.04/158.75 [3306]E(f331(f331(f153(x33061,x33061),f5(x33061)),x33062),x33062) % 159.04/158.75 [3308]E(f331(f264(a1,a1),f46(x33081,x33082)),f331(f331(f39(a1),x33081),x33082)) % 159.04/158.75 [3325]E(f331(f195(f877(x33251)),f151(x33251,x33252)),f331(f38(x33251),f331(f172(x33251),x33252))) % 159.04/158.75 [3326]E(f31(f32(x33261,x33262)),f331(f331(f80(a876),f31(x33262)),f331(a116,f2(a876)))) % 159.04/158.75 [3327]E(f331(f283(x33271),f331(f285(x33271,x33271),x33272)),f331(f283(x33271),x33272)) % 159.04/158.75 [3331]P104(f331(f62(x33311),f331(f172(x33311),x33312))) % 159.04/158.75 [3339]E(f331(f331(f80(a1),x33391),f331(f79(a1),x33392)),f331(f331(f22(a1),x33391),x33392)) % 159.04/158.75 [3346]P20(x33461,x33462,f194(f885(f875(x33461),a871))) % 159.04/158.75 [3348]E(f331(f309(x33481,x33481,f5(x33481)),x33482),x33482) % 159.04/158.75 [3349]E(f331(f309(x33491,x33491,f34(x33491)),x33492),x33492) % 159.04/158.75 [3350]E(f331(f310(x33501,x33501,f5(x33501)),x33502),x33502) % 159.04/158.75 [3351]E(f331(f310(x33511,x33511,f34(x33511)),x33512),x33512) % 159.04/158.75 [3352]P104(f331(f253(f885(x33521,a871)),x33522)) % 159.04/158.75 [3354]E(f331(f38(a876),f331(f300(a876,x33541),x33542)),f331(f331(f22(a876),x33542),x33541)) % 159.04/158.75 [3355]E(f331(f300(a876,f331(a116,x33551)),x33552),f304(a876,x33551,x33552)) % 159.04/158.75 [3367]E(f331(f331(f308(x33671),x33672),f194(f885(x33671,a871))),f331(f250(x33671),f331(a328,x33672))) % 159.04/158.75 [3371]E(f331(f331(f308(x33711),x33712),f194(f885(x33711,a871))),f237(x33711,f331(f236(x33711),x33712))) % 159.04/158.75 [3374]E(f306(x33741,f331(f285(x33741,x33741),x33742)),f331(f285(x33741,x33741),f306(x33741,x33742))) % 159.04/158.75 [3378]E(f331(f331(f80(a876),f331(a116,x33781)),x33782),f331(f331(f80(a876),x33781),f331(a116,x33782))) % 159.04/158.75 [3379]E(f331(f331(f22(a876),f331(a116,x33791)),f331(a116,x33792)),f331(f331(f22(a876),x33791),x33792)) % 159.04/158.75 [3385]E(f55(x33851,f2(a876),x33852),f331(f331(f150(f877(x33851)),f117(x33851)),f117(f877(x33851)))) % 159.04/158.75 [3386]E(f331(f38(a876),f303(a876,x33861,x33862)),f331(f331(f22(a876),x33862),x33861)) % 159.04/158.75 [3395]P39(x33951,f331(f331(f286(a876,x33951),a249),x33952)) % 159.04/158.75 [3397]P30(a876,f138(a876,f331(f300(a876,x33971),x33972))) % 159.04/158.75 [3399]P104(f331(f62(a876),f331(f300(a876,x33991),x33992))) % 159.04/158.75 [3400]P104(f331(f62(a1),f331(f300(a1,x34001),x34002))) % 159.04/158.75 [3402]E(f331(f285(f877(x34021),f877(x34021)),f156(x34021,x34022)),f156(x34021,f331(f285(x34021,x34021),x34022))) % 159.04/158.75 [3403]E(f331(f195(a873),f32(x34031,x34032)),f331(f331(f80(a876),f331(f195(a873),x34032)),f331(a116,f2(a876)))) % 159.04/158.75 [3405]E(f331(f300(a1,x34051),f331(f331(f80(a1),x34052),f78(a1))),f301(a1,x34051,x34052)) % 159.04/158.75 [3408]E(f331(f331(f39(a1),f331(f79(a1),x34081)),f331(f79(a1),x34082)),f331(f331(f39(a1),x34081),x34082)) % 159.04/158.75 [3416]E(f184(x34161,x34162,f331(f16(f880(x34162),x34161),f197(x34162))),f194(f885(x34161,a871))) % 159.04/158.75 [3417]E(f186(x34171,x34172,f331(f16(f880(x34172),x34171),f197(x34172))),f194(f885(x34172,a871))) % 159.04/158.75 [3418]E(f331(f331(f189(f884(x34181,x34181),a871),f78(a876)),x34182),x34182) % 159.04/158.75 [3420]E(f331(f331(f22(f885(x34201,a871)),x34202),f194(f885(x34201,a871))),x34202) % 159.04/158.75 [3421]E(f331(f331(f114(f885(x34211,a871)),x34212),f194(f885(x34211,a871))),x34212) % 159.04/158.75 [3422]E(f331(f331(f105(f885(x34221,a871)),x34222),f253(f885(x34221,a871))),x34222) % 159.04/158.75 [3423]E(f331(f264(a876,a876),f85(f884(a876,a876),f48(x34231,x34232))),f331(f331(f39(a876),x34231),x34232)) % 159.04/158.75 [3430]E(f312(x34301,f331(a20,x34302),f331(f79(a1),f331(a20,x34302))),f331(f331(f315(a1),x34301),x34302)) % 159.04/158.75 [3431]E(f301(a1,f331(f331(f80(a1),x34311),f78(a1)),x34312),f303(a1,x34311,x34312)) % 159.04/158.75 [3436]E(f331(f268(a876,a876),f85(f884(a876,a876),f48(x34361,x34362))),f45(a876,x34361,x34362)) % 159.04/158.75 [3444]E(f313(x34441,f331(a20,x34442),f331(f79(a1),f331(a20,x34442))),f314(a1,x34441,x34442)) % 159.04/158.75 [3447]P104(f331(f331(f333(x34471),x34472),f253(f885(x34471,a871)))) % 159.04/158.75 [3452]E(f331(f331(f22(a876),f331(a116,x34521)),x34522),f331(f38(a876),f301(a876,x34522,x34521))) % 159.04/158.75 [3479]E(f331(f331(f22(f885(x34791,a871)),x34792),f253(f885(x34791,a871))),f194(f885(x34791,a871))) % 159.04/158.75 [3480]E(f331(f331(f114(f885(x34801,a871)),x34802),f253(f885(x34801,a871))),f253(f885(x34801,a871))) % 159.04/158.75 [3481]E(f331(f331(f105(f885(x34811,a871)),x34812),f194(f885(x34811,a871))),f194(f885(x34811,a871))) % 159.04/158.75 [3496]E(f45(a1,f331(f79(a1),x34961),f331(f79(a1),x34962)),f331(f79(a1),f45(a1,x34961,x34962))) % 159.04/158.75 [3497]E(f45(a1,f331(f104(a1),x34971),f331(f104(a1),x34972)),f331(f104(a1),f45(a876,x34971,x34972))) % 159.04/158.75 [3508]E(f331(f195(f877(x35081)),f331(f171(x35081),x35082)),f331(f331(f22(a876),f331(f195(f877(x35081)),x35082)),f78(a876))) % 159.04/158.75 [3533]E(f331(f331(f39(a1),f45(a1,x35331,x35332)),x35332),f2(a1)) % 159.04/158.75 [3543]E(f331(a3,f45(a876,f331(a19,x35431),f331(a19,x35432))),f45(a103,x35431,x35432)) % 159.04/158.75 [3576]E(f331(a3,f331(f331(f22(a876),f331(a19,x35761)),f331(a19,x35762))),f331(f331(f22(a103),x35761),x35762)) % 159.04/158.75 [3577]E(f331(a3,f331(f331(f81(a876),f331(a19,x35771)),f331(a19,x35772))),f331(f331(f81(a103),x35771),x35772)) % 159.04/158.75 [3578]E(f331(a3,f331(f331(f80(a876),f331(a19,x35781)),f331(a19,x35782))),f331(f331(f80(a103),x35781),x35782)) % 159.04/158.75 [3579]E(f331(a3,f331(f331(f39(a876),f331(a19,x35791)),f331(a19,x35792))),f331(f331(f39(a103),x35791),x35792)) % 159.04/158.75 [3588]E(f331(f309(a876,a876,a116),f331(f300(a876,x35881),x35882)),f331(f300(a876,f331(a116,x35881)),f331(a116,x35882))) % 159.04/158.75 [3612]P104(f331(f48(x36121,x36122),f85(f884(a876,a876),f48(x36121,x36122)))) % 159.04/158.75 [3634]E(f331(f331(f80(a876),f331(f331(f80(a876),f31(x36341)),f31(x36342))),f331(a116,f2(a876))),f31(f33(x36341,x36342))) % 159.04/158.75 [3635]E(f45(a876,f331(a116,f45(a876,x36351,x36352)),x36352),f45(a876,f331(a116,x36351),x36352)) % 159.04/158.75 [3649]E(f331(f331(f42(f885(x36491,a871),f885(x36491,a871)),x36492),f5(f885(x36491,a871))),f40(f885(x36491,a871),x36492)) % 159.04/158.75 [3650]E(f331(f331(f43(f885(x36501,a871),f885(x36501,a871)),x36502),f5(f885(x36501,a871))),f41(f885(x36501,a871),x36502)) % 159.04/158.75 [3651]E(f331(f309(f877(x36511),f885(x36511,a871),f172(x36511)),f331(f172(f877(x36511)),f54(x36511,x36512))),f331(f307(x36511),f331(f172(x36511),x36512))) % 159.04/158.75 [3654]P104(f331(f331(f333(f885(x36541,a871)),x36542),f331(f307(x36541),x36542))) % 159.04/158.75 [3660]E(f45(a1,f331(f79(a1),f45(a1,x36601,x36602)),x36602),f45(a1,f331(f79(a1),x36601),x36602)) % 159.04/158.75 [3672]P104(f331(f331(f244(f885(x36721,a871)),x36722),f253(f885(x36721,a871)))) % 159.04/158.75 [3674]E(f331(f331(f287(x36741,x36741,x36741),f306(x36741,x36742)),f306(x36741,f306(x36741,x36742))),f306(x36741,x36742)) % 159.04/158.75 [3675]E(f331(f331(f114(f885(x36751,a871)),f331(f263(x36751,x36751),x36752)),f331(f261(x36751,x36751),x36752)),f331(f283(x36751),x36752)) % 159.04/158.75 [3696]E(f317(x36961,x36962,f253(f885(x36961,a871)),f253(f885(x36962,a871))),f253(f885(f883(x36961,x36962),a871))) % 159.04/158.75 [3747]P104(f331(f331(f244(a876),f45(a876,x37471,x37472)),x37471)) % 159.04/158.75 [3770]P104(f331(f331(f244(a1),f331(f79(a1),f331(f104(a1),x37701))),f331(f104(a1),x37702))) % 159.04/158.75 [3796]P104(f331(f331(f333(f885(x37961,a871)),f194(f885(x37961,a871))),f331(f307(x37961),x37962))) % 159.04/158.75 [3801]E(f306(x38011,f331(f331(f287(x38011,x38011,x38011),x38012),f306(x38011,x38012))),f306(x38011,x38012)) % 159.04/158.75 [3804]E(f331(f331(f287(x38041,x38041,x38041),f306(x38041,x38042)),x38042),f331(f331(f287(x38041,x38041,x38041),x38042),f306(x38041,x38042))) % 159.04/158.75 [3806]E(f331(a108,f331(f331(f80(a1),f331(f331(f22(a1),x38061),x38062)),f78(a1))),f331(f38(a1),f301(a1,x38062,x38061))) % 159.04/158.75 [3821]E(f331(f261(x38211,x38211),f331(f331(f287(x38211,x38211,x38211),x38212),f306(x38211,x38212))),f331(f261(x38211,x38211),x38212)) % 159.04/158.75 [3822]E(f331(f263(x38221,x38221),f331(f331(f287(x38221,x38221,x38221),x38222),f306(x38221,x38222))),f331(f263(x38221,x38221),x38222)) % 159.04/158.75 [3838]E(f331(f331(f80(a876),f331(f331(f80(a876),f331(f195(a873),x38381)),f331(f195(a873),x38382))),f331(a116,f2(a876))),f331(f195(a873),f33(x38381,x38382))) % 159.04/158.75 [3841]E(f331(f141(f877(x38411),f877(x38411),f126(x38411),f117(x38411)),f169(f877(x38411),x38412,f117(x38411))),f117(x38411)) % 159.04/158.75 [3850]P21(a876,a876,f331(f331(f7(a876,a876,a876),f80(a876)),x38501),x38502) % 159.04/158.75 [3852]P30(a876,f331(f168(a876),f331(f331(f153(f877(x38521),a876),f195(f877(x38521))),f180(x38521,x38522)))) % 159.04/158.75 [3897]P104(f331(f331(f245(a1),f331(f79(a1),f331(f104(a1),f331(a116,x38971)))),f331(f104(a1),x38972))) % 159.04/158.75 [3943]E(f331(f141(f877(x39431),x39431,f331(f7(x39431,f877(x39431),f877(x39431)),f150(x39431)),f117(x39431)),x39432),f331(f168(x39431),x39432)) % 159.04/158.75 [3995]P104(f331(f331(f244(f885(f884(f877(x39951),f877(x39951)),a871)),f157(x39951,x39952)),f306(f877(x39951),f156(x39951,x39952)))) % 159.04/158.75 [4027]P104(f331(f48(x40271,x40272),f331(f331(f265(a876,a876),f331(f331(f39(a876),x40271),x40272)),f45(a876,x40271,x40272)))) % 159.04/158.75 [4038]P104(f331(f331(f244(f885(f884(f877(x40381),f877(x40381)),a871)),f156(x40381,f306(x40381,x40382))),f306(f877(x40381),f156(x40381,x40382)))) % 159.04/158.75 [4265]E(f331(f331(f271(f884(a103,a103),a103,f884(a103,a103),f884(x42651,f884(a103,a103))),f275(f331(f165(a103),f331(f331(f153(f884(a103,x42651),a103),f264(a103,x42651)),x42652)))),f331(f331(f8(x42651,f885(f884(a103,a103),f884(x42651,f884(a103,a103))),a103),f265(x42651,f884(a103,a103))),f276(x42651,x42652))),f274(x42651,x42652)) % 159.04/158.75 [4376]E(f331(f239(a876,f884(x43761,f878(x43761)),f2(a876),f331(f269(x43761,f878(x43761),a876),f331(f16(f885(f878(x43761),a876),x43761),f331(f331(f7(f878(x43761),a876,a876),f331(f331(f8(a876,f885(a876,a876),f878(x43761)),f80(a876)),f195(f878(x43761)))),f78(a876))))),f331(f133(x43761),x43762)),f331(f195(f878(x43761)),x43762)) % 159.04/158.75 [4451]E(f331(f269(f885(f884(x44511,x44511),a871),f885(f884(x44511,x44511),a871),f885(f885(x44512,x44511),f884(f885(f884(x44512,x44512),a871),f885(f884(x44512,x44512),a871)))),f331(f331(f7(f885(f884(x44511,x44511),a871),f885(f885(f884(x44511,x44511),a871),f885(f885(x44512,x44511),f885(f884(x44512,x44512),a871))),f885(f885(f884(x44511,x44511),a871),f885(f885(x44512,x44511),f884(f885(f884(x44512,x44512),a871),f885(f884(x44512,x44512),a871))))),f331(f331(f8(f885(f885(f885(x44512,x44511),f885(f884(x44512,x44512),a871)),f885(f885(x44512,x44511),f884(f885(f884(x44512,x44512),a871),f885(f884(x44512,x44512),a871)))),f885(f885(f885(f884(x44511,x44511),a871),f885(f885(x44512,x44511),f885(f884(x44512,x44512),a871))),f885(f885(f884(x44511,x44511),a871),f885(f885(x44512,x44511),f884(f885(f884(x44512,x44512),a871),f885(f884(x44512,x44512),a871))))),f885(f884(x44511,x44511),a871)),f8(f885(f885(x44512,x44511),f885(f884(x44512,x44512),a871)),f885(f885(x44512,x44511),f884(f885(f884(x44512,x44512),a871),f885(f884(x44512,x44512),a871))),f885(f884(x44511,x44511),a871))),f331(f331(f8(f885(f885(x44512,x44511),f885(f885(f884(x44512,x44512),a871),f884(f885(f884(x44512,x44512),a871),f885(f884(x44512,x44512),a871)))),f885(f885(f885(x44512,x44511),f885(f884(x44512,x44512),a871)),f885(f885(x44512,x44511),f884(f885(f884(x44512,x44512),a871),f885(f884(x44512,x44512),a871)))),f885(f884(x44511,x44511),a871)),f18(f885(x44512,x44511),f885(f884(x44512,x44512),a871),f884(f885(f884(x44512,x44512),a871),f885(f884(x44512,x44512),a871)))),f331(f331(f8(f885(f885(x44512,x44511),f885(f884(x44512,x44512),a871)),f885(f885(x44512,x44511),f885(f885(f884(x44512,x44512),a871),f884(f885(f884(x44512,x44512),a871),f885(f884(x44512,x44512),a871)))),f885(f884(x44511,x44511),a871)),f331(f8(f885(f884(x44512,x44512),a871),f885(f885(f884(x44512,x44512),a871),f884(f885(f884(x44512,x44512),a871),f885(f884(x44512,x44512),a871))),f885(x44512,x44511)),f265(f885(f884(x44512,x44512),a871),f885(f884(x44512,x44512),a871)))),f286(x44511,x44512))))),f286(x44511,x44512))),f74(x44511,x44512)) % 159.04/158.75 [4528]~E(f331(f307(x45281),x45282),f194(f885(f885(x45281,a871),a871))) % 159.04/158.75 [4542]~P104(f331(f331(f333(x45421),x45422),f194(f885(x45421,a871)))) % 159.04/158.75 [4552]~P104(f331(f331(f245(f885(x45521,a871)),x45522),f194(f885(x45521,a871)))) % 159.04/158.75 [3357]E(f331(f331(f22(a876),x33571),f331(f331(f80(a876),x33571),x33572)),f2(a876)) % 159.04/158.75 [3359]E(f331(f331(f114(f885(x33591,a871)),x33592),x33592),x33592) % 159.04/158.75 [3360]E(f331(f331(f105(f885(x33601,a871)),x33602),x33602),x33602) % 159.04/158.75 [3388]E(f331(f331(f22(f885(x33881,a871)),x33882),x33882),f194(f885(x33881,a871))) % 159.04/158.75 [3391]E(f331(f142(x33911,x33912),f2(a876)),f194(f885(f884(f877(x33911),f877(x33911)),a871))) % 159.04/158.75 [3392]E(f331(f331(f80(a876),x33921),f331(a116,x33922)),f331(a116,f331(f331(f80(a876),x33921),x33922))) % 159.04/158.75 [3404]E(f202(f331(f104(a1),x34041),f331(f104(a1),x34042)),f331(f104(a1),f331(f331(f22(a876),x34041),x34042))) % 159.04/158.75 [3407]E(f331(f331(f39(a1),f331(f79(a1),x34071)),x34072),f331(f331(f39(a1),x34071),f331(f79(a1),x34072))) % 159.04/158.75 [3411]E(f331(f38(a1),f331(f300(a1,x34111),x34112)),f331(a108,f331(f331(f22(a1),x34112),x34111))) % 159.04/158.75 [3414]E(f331(f331(f80(a876),f331(a116,x34141)),x34142),f331(a116,f331(f331(f80(a876),x34141),x34142))) % 159.04/158.75 [3419]E(f331(f79(f885(x34191,a871)),f331(f79(f885(x34191,a871)),x34192)),x34192) % 159.04/158.75 [3433]E(f180(x34331,f331(f331(f150(f877(x34331)),f117(x34331)),x34332)),f180(x34331,x34332)) % 159.04/158.75 [3437]E(f331(f331(f80(a876),x34371),f331(f331(f81(a876),x34371),x34372)),f331(f331(f81(a876),x34371),f331(a116,x34372))) % 159.04/158.75 [3445]E(f331(f331(a23,f331(a3,x34451)),f331(a3,x34452)),f331(a3,f331(f331(f22(a876),x34451),x34452))) % 159.04/158.75 [3459]E(f331(f331(f81(a1),f331(f79(a1),x34591)),x34592),f331(f79(a1),f331(f331(f81(a1),x34591),x34592))) % 159.04/158.75 [3461]E(f331(f331(f255(a1),f331(f104(a1),x34611)),x34612),f331(f104(a1),f331(f331(f255(a876),x34611),x34612))) % 159.04/158.75 [3462]E(f331(f331(f81(a103),f331(a3,x34621)),f331(a3,x34622)),f331(a3,f331(f331(f81(a876),x34621),x34622))) % 159.04/158.75 [3463]E(f331(f331(f80(a103),f331(a3,x34631)),f331(a3,x34632)),f331(a3,f331(f331(f80(a876),x34631),x34632))) % 159.04/158.75 [3464]E(f331(f331(f242(a876),f331(a116,x34641)),f331(a116,x34642)),f331(a116,f331(f331(f242(a876),x34641),x34642))) % 159.04/158.75 [3465]E(f331(f331(f243(a876),f331(a116,x34651)),f331(a116,x34652)),f331(a116,f331(f331(f243(a876),x34651),x34652))) % 159.04/158.75 [3471]E(f331(f172(a876),f138(a876,f331(f300(a876,x34711),x34712))),f331(f300(a876,x34711),x34712)) % 159.04/158.75 [3472]E(f311(x34721,f331(f331(f308(x34721),x34722),f194(f885(x34721,a871)))),x34722) % 159.04/158.75 [3477]E(f331(f261(x34771,x34772),f194(f885(f884(x34771,x34772),a871))),f194(f885(x34772,a871))) % 159.04/158.75 [3478]E(f331(f263(x34781,x34782),f194(f885(f884(x34781,x34782),a871))),f194(f885(x34781,a871))) % 159.04/158.75 [3482]E(f331(a108,f331(f331(f22(a1),x34821),x34822)),f331(f38(a1),f303(a1,x34822,x34821))) % 159.04/158.75 [3486]E(f331(f331(f80(a876),x34861),f331(f331(f81(a876),x34862),x34861)),f331(f331(f81(a876),f331(a116,x34862)),x34861)) % 159.04/158.75 [3488]E(f331(f331(f61(x34881),f194(f885(x34881,a871))),x34882),f194(f885(f885(x34881,a871),a871))) % 159.04/158.75 [3498]E(f331(f195(f877(a876)),f138(a876,f331(f300(a876,x34981),x34982))),f331(f331(f22(a876),x34982),x34981)) % 159.04/158.75 [3513]E(f331(f331(f114(f885(x35131,a871)),f194(f885(x35131,a871))),x35132),x35132) % 159.04/158.75 [3514]E(f331(f331(f105(f885(x35141,a871)),f253(f885(x35141,a871))),x35142),x35142) % 159.04/158.75 [3515]E(f331(f331(f80(a1),f331(f79(a1),x35151)),f331(f79(a1),x35152)),f331(f79(a1),f331(f331(f80(a1),x35151),x35152))) % 159.04/158.75 [3520]E(f331(f331(f81(a1),f331(f104(a1),x35201)),f331(f104(a1),x35202)),f331(f104(a1),f331(f331(f81(a876),x35201),x35202))) % 159.04/158.75 [3521]E(f331(f331(f81(a1),f331(f107(a1),x35211)),f331(f107(a1),x35212)),f331(f107(a1),f331(f331(f81(a1),x35211),x35212))) % 159.04/158.75 [3523]E(f331(f331(f80(a1),f331(f104(a1),x35231)),f331(f104(a1),x35232)),f331(f104(a1),f331(f331(f80(a876),x35231),x35232))) % 159.04/158.75 [3524]E(f331(f331(f80(a1),f331(f107(a1),x35241)),f331(f107(a1),x35242)),f331(f107(a1),f331(f331(f80(a1),x35241),x35242))) % 159.04/158.75 [3525]E(f331(f331(f39(a1),f331(f104(a1),x35251)),f331(f104(a1),x35252)),f331(f104(a1),f331(f331(f39(a876),x35251),x35252))) % 159.04/158.75 [3544]E(f331(f331(f6(x35441,a876),f331(f16(a876,x35441),f78(a876))),x35442),f331(f38(x35441),x35442)) % 159.04/158.75 [3551]E(f331(f79(a1),f45(a1,f331(f79(a1),x35511),x35512)),f45(a1,x35511,f331(f79(a1),x35512))) % 159.04/158.75 [3553]E(f331(f172(a1),f179(x35531,f331(f331(f22(a1),x35532),f78(a1)))),f331(f300(a1,x35531),x35532)) % 159.04/158.75 [3558]P104(f331(f331(f244(a876),x35581),f331(f331(f80(a876),x35582),x35581))) % 159.04/158.75 [3559]P104(f331(f331(f244(a876),x35591),f331(f331(f80(a876),x35591),x35592))) % 159.04/158.75 [3561]E(f331(f331(f22(f885(x35611,a871)),f194(f885(x35611,a871))),x35612),f194(f885(x35611,a871))) % 159.04/158.75 [3562]E(f331(f331(f114(f885(x35621,a871)),f253(f885(x35621,a871))),x35622),f253(f885(x35621,a871))) % 159.04/158.75 [3563]E(f331(f331(f105(f885(x35631,a871)),f194(f885(x35631,a871))),x35632),f194(f885(x35631,a871))) % 159.04/158.75 [3568]E(f331(f331(f265(a1,a1),x35681),f331(f79(a1),x35682)),f331(a51,f331(f331(f265(a1,a1),x35681),x35682))) % 159.04/158.75 [3569]E(f331(f300(a1,f331(f331(f80(a1),x35691),f78(a1))),x35692),f304(a1,x35691,x35692)) % 159.04/158.75 [3580]E(f331(f331(f81(a876),x35801),f331(f331(f39(a876),x35802),x35801)),f331(f331(f22(a876),x35802),f45(a876,x35802,x35801))) % 159.04/158.75 [3581]E(f331(f331(f81(a1),x35811),f331(f331(f39(a1),x35812),x35811)),f331(f331(f22(a1),x35812),f45(a1,x35812,x35811))) % 159.04/158.75 [3585]E(f331(f172(a1),f179(f331(f331(f80(a1),x35851),f78(a1)),x35852)),f303(a1,x35851,x35852)) % 159.04/158.75 [3589]P104(f331(f331(f244(f885(x35891,a871)),x35892),x35892)) % 159.04/158.75 [3592]E(f331(f331(f114(f885(x35921,a871)),x35922),f331(f79(f885(x35921,a871)),x35922)),f253(f885(x35921,a871))) % 159.04/158.75 [3593]E(f331(f331(f105(f885(x35931,a871)),x35932),f331(f79(f885(x35931,a871)),x35932)),f194(f885(x35931,a871))) % 159.04/158.75 [3599]E(f331(f331(f22(a876),f331(f331(f22(a876),x35991),f78(a876))),x35992),f331(f331(f22(a876),x35991),f331(a116,x35992))) % 159.04/158.75 [3604]E(f331(f331(f22(f885(x36041,a871)),f253(f885(x36041,a871))),x36042),f331(f79(f885(x36041,a871)),x36042)) % 159.04/158.75 [3605]E(f331(f331(f22(a1),f331(f107(a1),x36051)),f331(f107(a1),x36052)),f331(f107(a1),f331(f331(f80(a1),x36051),f331(f79(a1),x36052)))) % 159.04/158.75 [3618]E(f331(f172(a876),f138(a876,f331(f300(a876,x36181),f331(a116,x36182)))),f301(a876,x36181,x36182)) % 159.04/158.75 [3626]P104(f331(f331(f331(f331(a203,a24),x36261),x36262),x36261)) % 159.04/158.75 [3632]E(f331(f195(f877(f877(x36321))),f54(x36321,x36322)),f331(f331(f255(a876),f331(a116,f331(a116,f2(a876)))),f331(f195(f877(x36321)),x36322))) % 159.04/158.75 [3652]E(f331(f331(f189(f884(x36521,x36521),a871),f2(a876)),x36522),f306(x36521,f194(f885(f884(x36521,x36521),a871)))) % 159.04/158.75 [3656]P104(f331(f136(a876),f138(a876,f331(f300(a876,x36561),x36562)))) % 159.04/158.75 [3673]E(f331(f309(a1,a876,a108),f301(a1,f331(f104(a1),x36731),f331(f104(a1),x36732))),f301(a876,x36731,x36732)) % 159.04/158.75 [3683]E(f191(a876,f2(a876),f5(a876),f331(f331(f22(a876),x36831),x36832)),f331(f331(f22(a876),x36831),f331(a116,x36832))) % 159.04/158.75 [3684]E(f331(a108,f331(f331(f22(a1),x36841),f331(f331(f80(a1),x36842),f78(a1)))),f331(f38(a1),f304(a1,x36842,x36841))) % 159.04/158.75 [3720]E(f331(f331(f153(a876,a876),a116),f138(a876,f331(f300(a876,x37201),x37202))),f138(a876,f331(f300(a876,f331(a116,x37201)),f331(a116,x37202)))) % 159.04/158.75 [3727]E(f331(f172(a1),f179(f331(f331(f80(a1),x37271),f78(a1)),f331(f331(f22(a1),x37272),f78(a1)))),f304(a1,x37271,x37272)) % 159.04/158.75 [3738]P104(f331(f331(f244(f885(x37381,a871)),f194(f885(x37381,a871))),x37382)) % 159.04/158.75 [3743]E(f85(x37431,f331(f331(f7(x37431,x37431,a871),a328),x37432)),x37432) % 159.04/158.75 [3744]E(f90(x37441,f331(f331(f7(x37441,x37441,a871),a328),x37442)),x37442) % 159.04/158.75 [3748]E(f331(f172(a876),f138(a876,f331(f300(a876,f331(a116,x37481)),f331(a116,x37482)))),f303(a876,x37481,x37482)) % 159.04/158.75 [3773]E(f331(f331(f267(x37731,x37732),f253(f885(x37731,a871))),f331(f16(f885(x37732,a871),x37731),f253(f885(x37732,a871)))),f253(f885(f884(x37731,x37732),a871))) % 159.04/158.75 [3808]E(f331(f250(x38081),f331(f331(f8(a871,a871,x38081),a326),x38082)),f331(f79(f885(x38081,a871)),f331(f250(x38081),x38082))) % 159.04/158.75 [3811]E(f331(f250(x38111),f331(f331(f7(x38111,x38111,a871),a328),x38112)),f331(f331(f308(x38111),x38112),f194(f885(x38111,a871)))) % 159.04/158.75 [3818]E(f331(f331(f80(a1),f331(f331(f22(a1),x38181),x38182)),f331(f331(f22(a1),x38181),x38182)),f331(f331(f22(a1),f331(f331(f80(a1),x38181),x38181)),f331(f331(f80(a1),x38182),x38182))) % 159.04/158.75 [3819]E(f331(f331(f80(a1),f331(f331(f80(a1),x38191),x38191)),f331(f331(f80(a1),x38192),x38192)),f331(f331(f80(a1),f331(f331(f80(a1),x38191),x38192)),f331(f331(f80(a1),x38191),x38192))) % 159.04/158.75 [3835]P104(f331(f331(f244(a876),f331(f38(x38351),f331(f172(x38351),x38352))),f331(f195(f877(x38351)),x38352))) % 159.04/158.75 [3836]P104(f331(f331(f244(a876),f331(f195(f877(x38361)),f151(x38361,x38362))),f331(f195(f877(x38361)),x38362))) % 159.04/158.75 [3847]E(f331(f250(x38471),f331(f331(f7(x38471,f885(x38471,a871),a871),f333(x38471)),x38472)),x38472) % 159.04/158.75 [3862]E(f331(f331(f175(x38621),f331(f331(f22(a876),f331(f195(f877(x38621)),x38622)),f78(a876))),x38622),f118(x38621,x38622)) % 159.04/158.75 [3884]E(f191(a876,f2(a876),f331(f331(f8(a876,a876,a876),a116),f331(f242(a876),x38841)),x38842),f331(f331(f242(a876),f331(a116,x38841)),x38842)) % 159.04/158.75 [3888]E(f40(f885(x38881,a871),f331(f309(f885(f884(x38881,x38881),a871),f885(x38881,a871),f283(x38881)),x38882)),f331(f283(x38881),f40(f885(f884(x38881,x38881),a871),x38882))) % 159.04/158.75 [3889]E(f191(a876,f331(a116,x38891),f331(f331(f8(a876,a876,a876),a116),f331(f243(a876),x38891)),x38892),f331(f331(f243(a876),f331(a116,x38891)),x38892)) % 159.04/158.75 [3891]E(f331(f331(f265(a1,a1),f331(f331(f39(a1),f331(f75(a1),x38911)),f331(f75(a1),x38912))),f45(a1,f331(f75(a1),x38911),f331(f75(a1),x38912))),f53(x38911,x38912)) % 159.04/158.75 [3914]P104(f331(f331(f244(f885(f885(x39141,a871),a871)),x39142),f331(f307(x39141),f40(f885(x39141,a871),x39142)))) % 159.04/158.75 [3948]E(f331(f331(f42(x39481,f885(x39481,a871)),x39482),f331(f331(f7(x39481,f885(x39481,a871),f885(x39481,a871)),f308(x39481)),f194(f885(x39481,a871)))),x39482) % 159.04/158.75 [3949]E(f331(f331(f287(x39491,x39491,x39491),f331(f285(x39491,x39491),x39492)),f306(x39491,f331(f285(x39491,x39491),x39492))),f331(f285(x39491,x39491),f331(f331(f287(x39491,x39491,x39491),x39492),f306(x39491,x39492)))) % 159.04/158.75 [4018]E(f331(f172(x40181),f331(f141(f877(x40181),f877(x40181),f126(x40181),f117(x40181)),x40182)),f331(f331(f42(f877(x40181),f885(x40181,a871)),f331(f172(f877(x40181)),x40182)),f172(x40181))) % 159.04/158.75 [4050]E(f331(f331(f114(f885(f884(x40501,x40501),a871)),f306(x40501,f194(f885(f884(x40501,x40501),a871)))),f331(f331(f287(x40501,x40501,x40501),f306(x40501,x40502)),x40502)),f306(x40501,x40502)) % 159.04/158.75 [4084]E(f331(f331(f182(x40841,x40841),x40842),x40842),f331(f331(f153(x40841,f884(x40841,x40841)),f331(f331(f18(x40841,x40841,f884(x40841,x40841)),f265(x40841,x40841)),f5(x40841))),x40842)) % 159.04/158.75 [4201]E(f331(f141(a876,f877(x42011),f331(f7(f877(x42011),a876,a876),f331(f331(f8(a876,f885(a876,a876),f877(x42011)),f243(a876)),f195(f877(x42011)))),f2(a876)),f331(f168(f877(x42011)),x42012)),f331(f195(f877(f877(x42011))),f180(x42011,x42012))) % 159.04/158.75 [4280]E(f331(f331(f286(f884(a876,f877(x42801)),f877(x42801)),f324(a876,f877(x42801),a249,f144(x42801,x42802))),f331(f331(f18(f877(x42801),f877(x42801),f884(a876,f877(x42801))),f331(f331(f8(a876,f885(f877(x42801),f884(a876,f877(x42801))),f877(x42801)),f265(a876,f877(x42801))),f195(f877(x42801)))),f5(f877(x42801)))),f145(x42801,x42802)) % 159.04/158.75 [4410]E(f331(f250(x44101),f331(f331(f8(f885(f885(x44101,a871),a871),a871,x44101),f88(f885(x44101,a871))),f331(f331(f8(f885(f885(x44101,a871),a871),f885(f885(x44101,a871),a871),x44101),f331(f18(f885(x44101,a871),a871,a871),f331(f331(f8(a871,f885(a871,a871),f885(x44101,a871)),a334),f331(f331(f7(f885(x44101,a871),f885(f885(x44101,a871),a871),a871),f333(f885(x44101,a871))),x44102)))),f333(x44101)))),f41(f885(x44101,a871),x44102)) % 159.04/158.75 [4553]~P104(f331(f331(f245(a1),f331(f104(a1),x45531)),f331(f79(a1),f331(f104(a1),x45532)))) % 159.04/158.75 [4570]~P104(f331(f331(f91(a1),f331(f331(f22(a1),f331(f331(f80(a1),x45701),x45701)),a101)),f331(f331(f80(a1),x45702),x45702))) % 159.04/158.75 [3484]E(f331(f331(f22(a876),f331(f331(f80(a876),x34841),x34842)),x34842),x34841) % 159.04/158.75 [3485]E(f331(f331(f22(a876),f331(f331(f80(a876),x34851),x34852)),x34851),x34852) % 159.04/158.75 [3552]E(f331(f331(f80(a876),f331(f331(f22(a876),x35521),x35522)),x35522),f331(f331(f243(a876),x35521),x35522)) % 159.04/158.75 [3659]E(f331(f331(f81(a876),f331(f331(f39(a876),x36591),x36592)),x36592),f331(f331(f22(a876),x36591),f45(a876,x36591,x36592))) % 159.04/158.75 [3688]E(f331(f172(a876),f138(a876,f331(f300(a876,f331(a116,x36881)),x36882))),f304(a876,x36881,x36882)) % 159.04/158.75 [3695]E(f331(f104(a1),f225(f331(a108,f331(f75(a1),x36951)),f331(a108,f331(f75(a1),x36952)))),f331(f331(a226,x36951),x36952)) % 159.04/158.75 [3697]E(f331(f331(f114(f885(x36971,a871)),f331(f79(f885(x36971,a871)),x36972)),x36972),f253(f885(x36971,a871))) % 159.04/158.75 [3698]E(f331(f331(f105(f885(x36981,a871)),f331(f79(f885(x36981,a871)),x36982)),x36982),f194(f885(x36981,a871))) % 159.04/158.75 [3716]P104(f331(f331(f244(a876),f331(f331(f22(a876),x37161),x37162)),x37161)) % 159.04/158.75 [3717]P104(f331(f331(f244(a876),f331(f331(f39(a876),x37171),x37172)),x37171)) % 159.04/158.75 [3740]P104(f331(f331(f245(a876),x37401),f331(a116,f331(f331(f80(a876),x37402),x37401)))) % 159.04/158.75 [3741]P104(f331(f331(f245(a876),x37411),f331(a116,f331(f331(f80(a876),x37411),x37412)))) % 159.04/158.75 [3758]E(f331(f331(f81(a876),f331(a108,f331(f75(a1),x37581))),f331(a108,f331(f75(a1),x37582))),f331(a108,f331(f75(a1),f331(f331(f81(a1),x37581),x37582)))) % 159.04/158.75 [3769]P104(f331(f331(f244(a1),f2(a1)),f331(f331(f255(a1),f331(f75(a1),x37691)),x37692))) % 159.04/158.75 [3840]E(f331(f284(f877(x38401),f877(x38401),f157(x38401,x38402)),f331(f331(f308(f877(x38401)),f117(x38401)),f194(f885(f877(x38401),a871)))),f331(f331(f308(f877(x38401)),f117(x38401)),f194(f885(f877(x38401),a871)))) % 159.04/158.75 [3860]E(f331(f331(f114(f885(f884(x38601,x38601),a871)),f306(x38601,x38602)),f306(x38601,f194(f885(f884(x38601,x38601),a871)))),f306(x38601,x38602)) % 159.04/158.75 [3874]E(f331(f331(f39(a1),f331(f107(a1),f331(f331(f80(a1),x38741),x38741))),f331(f107(a1),f331(f331(f80(a1),x38742),x38742))),f331(f331(f39(a1),f331(f107(a1),x38741)),f331(f107(a1),x38742))) % 159.04/158.75 [3938]E(f331(f331(f255(a1),x39381),f331(f107(a876),f331(f331(f80(a1),x39382),x39382))),f331(f331(f86(a1,a1),f331(f331(f255(a1),x39381),f331(f107(a876),x39382))),f331(f331(f18(a1,a1,a1),f81(a1)),f5(a1)))) % 159.04/158.75 [3944]E(f331(f250(f885(x39441,a871)),f331(f331(f7(f885(x39441,a871),f885(x39441,a871),a871),f244(f885(x39441,a871))),x39442)),f331(f307(x39441),x39442)) % 159.04/158.75 [3959]E(f331(f331(f153(a1,a876),a108),f331(f331(f126(a1),f331(f331(f153(a876,a1),f104(a1)),x39591)),f331(f331(f153(a876,a1),f104(a1)),x39592))),f331(f331(f126(a876),x39591),x39592)) % 159.04/158.75 [3994]E(f331(f309(a1,a1,f331(f331(f7(a1,a1,a1),f80(a1)),x39941)),f331(f300(a1,f2(a1)),f331(f331(f22(a1),x39942),x39941))),f331(f300(a1,x39941),x39942)) % 159.04/158.75 [3996]P50(x39961,f331(f331(f22(f885(f884(x39961,x39961),a871)),x39962),f306(x39961,f194(f885(f884(x39961,x39961),a871))))) % 159.04/158.75 [4016]E(f331(f195(f877(x40161)),f331(f141(f877(x40161),f877(x40161),f126(x40161),f117(x40161)),x40162)),f331(f165(a876),f331(f331(f153(f877(x40161),a876),f195(f877(x40161))),x40162))) % 159.04/158.75 [4021]P49(x40211,f253(f885(x40211,a871)),f331(f331(f114(f885(f884(x40211,x40211),a871)),x40212),f306(x40211,f194(f885(f884(x40211,x40211),a871))))) % 159.04/158.75 [4064]E(f191(a876,f2(a876),f331(f331(f8(a876,a876,a876),a116),f331(f331(f7(a876,a876,a876),f242(a876)),x40641)),x40642),f331(f331(f242(a876),x40642),f331(a116,x40641))) % 159.04/158.75 [4067]E(f191(a876,f331(a116,x40671),f331(f331(f8(a876,a876,a876),a116),f331(f331(f7(a876,a876,a876),f243(a876)),x40671)),x40672),f331(f331(f243(a876),x40672),f331(a116,x40671))) % 159.04/158.75 [4070]E(f331(f309(x40701,f877(x40701),f331(f331(f7(x40701,f877(x40701),f877(x40701)),f150(x40701)),f117(x40701))),x40702),f174(x40701,x40702,f331(f331(f308(f877(x40701)),f117(x40701)),f194(f885(f877(x40701),a871))))) % 159.04/158.75 [4071]E(f331(f331(f114(f885(f884(x40711,x40711),a871)),f331(f331(f287(x40711,x40711,x40711),x40712),f306(x40711,x40712))),f306(x40711,f194(f885(f884(x40711,x40711),a871)))),f306(x40711,x40712)) % 159.04/158.75 [4079]P104(f331(f331(f244(f885(f884(x40791,x40791),a871)),f262(x40791,x40792)),f331(f331(f267(x40791,x40791),x40792),f331(f16(f885(x40791,a871),x40791),x40792)))) % 159.04/158.75 [4082]E(f331(f309(a1,a876,a108),f331(f331(f114(f885(a1,a871)),f331(f309(a876,a1,f104(a1)),x40821)),f331(f309(a876,a1,f104(a1)),x40822))),f331(f331(f114(f885(a876,a871)),x40821),x40822)) % 159.04/158.75 [4083]E(f331(f309(a1,a876,a108),f331(f331(f105(f885(a1,a871)),f331(f309(a876,a1,f104(a1)),x40831)),f331(f309(a876,a1,f104(a1)),x40832))),f331(f331(f105(f885(a876,a871)),x40831),x40832)) % 159.04/158.75 [4087]E(f331(f250(x40871),f331(f331(f8(a871,a871,x40871),a326),f331(f331(f7(x40871,f885(x40871,a871),a871),f333(x40871)),x40872))),f331(f79(f885(x40871,a871)),x40872)) % 159.04/158.75 [4114]E(f331(f141(f877(x41141),f877(x41141),f126(x41141),f117(x41141)),f331(f331(f153(f877(x41141),f877(x41141)),f168(x41141)),f331(f168(f877(x41141)),x41142))),f331(f168(x41141),f331(f141(f877(x41141),f877(x41141),f126(x41141),f117(x41141)),x41142))) % 159.04/158.75 [4143]E(f331(f331(f42(a876,f885(f884(x41431,x41431),a871)),f253(f885(a876,a871))),f331(f331(f7(a876,f885(f884(x41431,x41431),a871),f885(f884(x41431,x41431),a871)),f189(f884(x41431,x41431),a871)),x41432)),f306(x41431,x41432)) % 159.04/158.75 [4164]E(f85(x41641,f331(f331(f8(f885(x41641,a871),a871,x41641),f331(a328,x41642)),f331(f331(f7(x41641,f885(x41641,a871),f885(x41641,a871)),f308(x41641)),f194(f885(x41641,a871))))),f311(x41641,x41642)) % 159.04/158.75 [4172]E(f331(f195(f877(x41721)),f151(x41721,f331(f141(f877(x41721),f877(x41721),f126(x41721),f117(x41721)),x41722))),f331(f38(x41721),f331(f331(f42(f877(x41721),f885(x41721,a871)),f331(f172(f877(x41721)),x41722)),f172(x41721)))) % 159.04/158.75 [4188]E(f331(f331(f114(f885(f884(x41881,x41881),a871)),x41882),f331(f331(f287(x41881,x41881,x41881),f331(f331(f287(x41881,x41881,x41881),x41882),f306(x41881,x41882))),x41882)),f331(f331(f287(x41881,x41881,x41881),x41882),f306(x41881,x41882))) % 159.04/158.75 [4211]P104(f331(f331(f244(f885(f884(x42111,x42111),a871)),f331(f331(f287(x42111,x42111,x42111),x42112),f306(x42111,x42112))),f331(f331(f267(x42111,x42111),f331(f283(x42111),x42112)),f331(f16(f885(x42111,a871),x42111),f331(f283(x42111),x42112))))) % 159.04/158.75 [4254]E(f331(f250(f877(x42541)),f331(f331(f7(f877(x42541),f885(x42541,a871),a871),f331(f331(f8(f885(x42541,a871),f885(f885(x42541,a871),a871),f877(x42541)),f244(f885(x42541,a871))),f172(x42541))),x42542)),f160(x42541,x42542)) % 159.04/158.75 [4267]E(f331(f155(f877(x42671),x42671,f117(x42671),f331(f331(f8(f877(x42671),f885(f877(x42671),f877(x42671)),x42671),f331(f7(f877(x42671),f877(x42671),f877(x42671)),f126(x42671))),f331(f331(f7(x42671,f877(x42671),f877(x42671)),f150(x42671)),f117(x42671)))),x42672),f331(f167(x42671),x42672)) % 159.04/158.75 [4309]P21(f885(x43091,x43092),f885(f884(x43091,x43092),a871),f331(f331(f8(f885(f884(x43091,x43092),a871),f885(f884(x43091,x43092),a871),f885(x43091,x43092)),f250(f884(x43091,x43092))),f331(f331(f8(f885(x43091,f885(x43092,a871)),f885(f884(x43091,x43092),a871),f885(x43091,x43092)),f269(x43091,x43092,a871)),f331(f8(x43092,f885(x43092,a871),x43091),f331(f7(x43092,x43092,a871),a328)))),f253(f885(f885(x43091,x43092),a871))) % 159.04/158.75 [4314]E(f45(a1,f331(f107(a1),f331(f331(f80(a1),x43141),x43141)),f331(f107(a1),f331(f331(f80(a1),x43142),x43142))),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f45(a1,f331(f107(a1),x43141),f331(f107(a1),x43142)))) % 159.04/158.75 [4357]E(f331(f331(f42(x43571,f885(f884(x43571,x43571),a871)),x43572),f331(f331(f7(x43571,f885(f884(x43571,x43571),a871),f885(f884(x43571,x43571),a871)),f331(f331(f8(f884(x43571,x43571),f885(f885(f884(x43571,x43571),a871),f885(f884(x43571,x43571),a871)),x43571),f308(f884(x43571,x43571))),f331(f331(f18(x43571,x43571,f884(x43571,x43571)),f265(x43571,x43571)),f5(x43571)))),f194(f885(f884(x43571,x43571),a871)))),f262(x43571,x43572)) % 159.04/158.75 [4365]E(f212(x43651,f331(f331(f265(a1,a1),f331(f79(a1),f331(f331(f73(f884(a1,a1),a1,x43651,f264(a1,a1)),f221(x43651)),x43652))),f331(f331(f73(f884(a1,a1),a1,x43651,f268(a1,a1)),f221(x43651)),x43652))),f229(x43651,x43652)) % 159.04/158.75 [4446]E(f331(f250(f885(x44461,a871)),f331(f331(f8(f885(f885(x44461,a871),a871),a871,f885(x44461,a871)),f87(f885(x44461,a871))),f331(f331(f7(f885(x44461,a871),f885(f885(x44461,a871),a871),f885(f885(x44461,a871),a871)),f331(f331(f8(f885(f885(x44461,a871),f885(a871,a871)),f885(f885(f885(x44461,a871),a871),f885(f885(x44461,a871),a871)),f885(x44461,a871)),f18(f885(x44461,a871),a871,a871)),f331(f331(f8(f885(f885(x44461,a871),a871),f885(f885(x44461,a871),f885(a871,a871)),f885(x44461,a871)),f331(f8(a871,f885(a871,a871),f885(x44461,a871)),a329)),f331(f331(f7(f885(x44461,a871),f885(f885(x44461,a871),f885(x44461,a871)),f885(f885(x44461,a871),a871)),f331(f331(f8(f885(f885(x44461,a871),a871),f885(f885(f885(x44461,a871),f885(x44461,a871)),f885(f885(x44461,a871),a871)),f885(x44461,a871)),f8(f885(x44461,a871),a871,f885(x44461,a871))),a328)),f79(f885(x44461,a871)))))),f331(f331(f8(f885(f885(x44461,a871),a871),a871,f885(x44461,a871)),f331(f333(f885(x44461,a871)),x44462)),f307(x44461))))),f331(f307(x44461),f331(f79(f885(x44461,a871)),x44462))) % 159.04/158.75 [4550]~E(f331(f331(f80(a1),x45501),x45501),f331(f331(f22(a1),f331(f331(f80(a1),x45502),x45502)),a101)) % 159.04/158.75 [4556]~P104(f331(f331(f245(a876),f331(f331(f80(a876),x45561),x45562)),x45562)) % 159.04/158.75 [4557]~P104(f331(f331(f245(a876),f331(f331(f80(a876),x45571),x45572)),x45571)) % 159.04/158.75 [3774]E(f331(f331(f22(a876),x37741),f331(f331(f81(a876),f331(f331(f39(a876),x37741),x37742)),x37742)),f45(a876,x37741,x37742)) % 159.04/158.75 [3775]E(f331(f331(f22(a1),x37751),f331(f331(f81(a1),f331(f331(f39(a1),x37751),x37752)),x37752)),f45(a1,x37751,x37752)) % 159.04/158.75 [3809]E(f331(f331(f153(a876,x38091),f331(f164(x38091),x38092)),f138(a876,f331(f300(a876,f2(a876)),f331(f195(f877(x38091)),x38092)))),x38092) % 159.04/158.75 [3870]E(f331(f284(x38701,x38701,f306(x38701,f194(f885(f884(x38701,x38701),a871)))),x38702),x38702) % 159.04/158.75 [3999]E(f306(x39991,f331(f331(f22(f885(f884(x39991,x39991),a871)),x39992),f306(x39991,f194(f885(f884(x39991,x39991),a871))))),f306(x39991,x39992)) % 159.04/158.75 [4000]E(f306(x40001,f331(f331(f114(f885(f884(x40001,x40001),a871)),x40002),f306(x40001,f194(f885(f884(x40001,x40001),a871))))),f306(x40001,x40002)) % 159.04/158.75 [4053]E(f331(f331(f22(a1),f331(f331(f22(a1),f331(f331(f80(a1),x40531),x40531)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),x40532),x40532)),a101)),f331(f331(f80(a1),f331(f331(f22(a1),x40531),x40532)),f331(f331(f22(a1),x40531),x40532))) % 159.04/158.75 [4092]E(f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f80(a1),x40921),x40922)),f331(f331(f80(a1),x40921),x40922))),a101),f331(f331(f80(a1),f331(f331(f80(a1),x40921),x40921)),f331(f331(f22(a1),f331(f331(f80(a1),x40922),x40922)),a101))) % 159.04/158.75 [4118]E(f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),x41181),x41181)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),x41182),x41182)),a101)),f331(f331(f80(a1),f331(f331(f80(a1),x41181),f331(f331(f22(a1),x41182),a101))),f331(f331(f80(a1),x41181),f331(f331(f22(a1),x41182),a101)))) % 159.04/158.75 [4128]E(f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f22(a1),x41281),x41282)),f331(f331(f22(a1),x41281),x41282))),a101),f331(f331(f22(a1),f331(f331(f22(a1),f331(f331(f80(a1),x41281),x41281)),a101)),f331(f331(f80(a1),x41282),x41282))) % 159.04/158.75 [4129]E(f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f80(a1),x41291),x41292)),f331(f331(f80(a1),x41291),x41292))),a101),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),x41291),x41291)),a101)),f331(f331(f80(a1),x41292),x41292))) % 159.04/158.75 [4185]E(f331(f104(a1),f331(f331(f39(a876),f331(f331(f81(a876),f331(a108,f331(f75(a1),x41851))),f331(a108,f331(f75(a1),x41852)))),f225(f331(a108,f331(f75(a1),x41851)),f331(a108,f331(f75(a1),x41852))))),f227(x41851,x41852)) % 159.04/158.75 [4231]E(f331(f331(f271(f884(a103,a103),a103,f884(a103,a103),f884(x42311,f884(a103,a103))),f275(f331(a3,f331(f195(f877(x42311)),x42312)))),f331(f331(f8(x42311,f885(f884(a103,a103),f884(x42311,f884(a103,a103))),a103),f265(x42311,f884(a103,a103))),f331(f331(f8(a876,x42311,a103),f331(f164(x42311),x42312)),a19))),f281(x42311,x42312)) % 159.04/158.75 [4315]E(f331(f141(a876,f877(x43151),f331(f7(f877(x43151),a876,a876),f331(f331(f8(a876,f885(a876,a876),f877(x43151)),f243(a876)),f195(f877(x43151)))),f2(a876)),f331(f168(f877(x43151)),f180(x43151,x43152))),f331(f195(f877(f877(x43151))),f331(f135(f877(x43151),f331(f331(f8(a871,a871,f877(x43151)),a326),f331(f331(f7(f877(x43151),f877(x43151),a871),a328),f117(x43151)))),x43152))) % 159.04/158.75 [4321]E(f331(f331(f42(a876,f885(x43211,a871)),f253(f885(a876,a871))),f331(f331(f7(a876,f885(a876,f885(x43211,a871)),f885(x43211,a871)),f331(f331(f8(f885(a876,a871),f885(f885(a876,f885(x43211,a871)),f885(x43211,a871)),a876),f42(a876,f885(x43211,a871))),f300(a876,f2(a876)))),x43212)),f331(f331(f42(a876,f885(x43211,a871)),f253(f885(a876,a871))),x43212)) % 159.04/158.75 [4341]P104(f331(f62(a876),f331(f250(a876),f331(f331(f18(a876,a871,a871),f331(f331(f8(a871,f885(a871,a871),a876),a329),x43411)),f331(f331(f7(a876,a876,a871),f245(a876)),x43412))))) % 159.04/158.75 [4457]E(f331(f250(f884(f877(x44571),f877(x44571))),f331(f269(f877(x44571),f877(x44571),a871),f331(f331(f18(f877(x44571),f885(f877(x44571),a871),f885(f877(x44571),a871)),f331(f331(f8(f885(f877(x44571),f885(a871,a871)),f885(f885(f877(x44571),a871),f885(f877(x44571),a871)),f877(x44571)),f18(f877(x44571),a871,a871)),f331(f331(f8(f885(f877(x44571),a871),f885(f877(x44571),f885(a871,a871)),f877(x44571)),f331(f8(a871,f885(a871,a871),f877(x44571)),a330)),f331(f331(f7(f877(x44571),f885(f877(x44571),a876),f885(f877(x44571),a871)),f331(f331(f8(f885(a876,a871),f885(f885(f877(x44571),a876),f885(f877(x44571),a871)),f877(x44571)),f8(a876,a871,f877(x44571))),f331(f331(f8(a876,f885(a876,a871),f877(x44571)),f245(a876)),f195(f877(x44571))))),f195(f877(x44571)))))),f331(f331(f18(f877(x44571),f885(f877(x44571),a871),f885(f877(x44571),a871)),f331(f331(f8(f885(f877(x44571),f885(a871,a871)),f885(f885(f877(x44571),a871),f885(f877(x44571),a871)),f877(x44571)),f18(f877(x44571),a871,a871)),f331(f331(f8(f885(f877(x44571),a871),f885(f877(x44571),f885(a871,a871)),f877(x44571)),f331(f8(a871,f885(a871,a871),f877(x44571)),a329)),f331(f331(f7(f877(x44571),f885(f877(x44571),a876),f885(f877(x44571),a871)),f331(f331(f8(f885(a876,a871),f885(f885(f877(x44571),a876),f885(f877(x44571),a871)),f877(x44571)),f8(a876,a871,f877(x44571))),f331(f331(f8(a876,f885(a876,a871),f877(x44571)),a328),f195(f877(x44571))))),f195(f877(x44571)))))),f331(f331(f7(f877(x44571),f885(f884(f877(x44571),f877(x44571)),a871),f885(f877(x44571),a871)),f331(f331(f8(f885(f877(x44571),f885(f885(f884(f877(x44571),f877(x44571)),a871),a871)),f885(f885(f884(f877(x44571),f877(x44571)),a871),f885(f877(x44571),a871)),f877(x44571)),f7(f877(x44571),f885(f884(f877(x44571),f877(x44571)),a871),a871)),f331(f331(f8(f885(f877(x44571),f884(f877(x44571),f877(x44571))),f885(f877(x44571),f885(f885(f884(f877(x44571),f877(x44571)),a871),a871)),f877(x44571)),f331(f8(f884(f877(x44571),f877(x44571)),f885(f885(f884(f877(x44571),f877(x44571)),a871),a871),f877(x44571)),f333(f884(f877(x44571),f877(x44571))))),f265(f877(x44571),f877(x44571))))),f144(x44571,x44572)))))),f145(x44571,x44572)) % 159.04/158.75 [4562]~P104(f331(f331(f91(a1),f331(f331(f80(a1),x45621),x45621)),f331(f331(f22(a1),f331(f331(f80(a1),x45622),x45622)),a101))) % 159.04/158.75 [4121]E(f331(f331(f80(a1),f331(f331(f80(a1),f331(f331(f81(a1),x41211),x41212)),f331(f331(f81(a1),x41211),x41212))),x41212),f331(f331(f81(a1),f331(f331(f22(a1),f331(f331(f80(a1),x41211),x41211)),a101)),x41212)) % 159.04/158.75 [4229]E(f331(a108,f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x42291),x42292)),f194(f885(f884(a876,a876),a871)))))),f331(f331(f22(a876),x42291),x42292)) % 159.04/158.75 [4234]E(f331(f331(f287(x42341,x42341,x42341),f331(f331(f114(f885(f884(x42341,x42341),a871)),x42342),f306(x42341,f194(f885(f884(x42341,x42341),a871))))),f306(x42341,f331(f331(f114(f885(f884(x42341,x42341),a871)),x42342),f306(x42341,f194(f885(f884(x42341,x42341),a871)))))),f306(x42341,x42342)) % 159.04/158.75 [4273]E(f274(x42731,f331(f135(f884(a103,x42731),f331(f269(a103,x42731,a871),f331(f331(f8(a871,f885(x42731,a871),a103),f16(a871,x42731)),f331(f245(a103),f2(a103))))),x42732)),f274(x42731,x42732)) % 159.04/158.75 [4274]E(f276(x42741,f331(f135(f884(a103,x42741),f331(f269(a103,x42741,a871),f331(f331(f8(a871,f885(x42741,a871),a103),f16(a871,x42741)),f331(f245(a103),f2(a103))))),x42742)),f276(x42741,x42742)) % 159.04/158.75 [4276]E(f331(f79(a1),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x42761),x42762)),f194(f885(f884(a876,a876),a871)))))),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x42762),x42761)),f194(f885(f884(a876,a876),a871)))))) % 159.04/158.75 [4333]E(f331(f331(f286(f877(a876),x43331),f144(a876,a249)),f331(f331(f7(x43331,f877(f885(x43331,a876)),f877(a876)),f331(f331(f8(f885(f885(x43331,a876),a876),f885(f877(f885(x43331,a876)),f877(a876)),x43331),f153(f885(x43331,a876),a876)),f331(f7(f885(x43331,a876),x43331,a876),f5(f885(x43331,a876))))),x43332)),f152(x43331,x43332)) % 159.04/158.75 [4354]E(f331(f331(f86(a1,a876),f331(f107(a1),f331(f331(f80(a1),x43541),a101))),f331(f331(f18(a1,a876,a876),f331(f331(f7(a1,a876,f885(a876,a876)),f331(f331(f8(a871,f885(a876,f885(a876,a876)),a1),f100(a876)),a200)),f2(a876))),f331(f331(f8(a876,a876,a1),a116),f331(f331(f8(a876,a876,a1),f331(f242(a876),x43542)),a108)))),f331(f331(f242(a876),f331(a116,x43542)),f331(f107(a876),x43541))) % 159.04/158.75 [4355]E(f331(f331(f86(a1,a876),f331(f107(a1),f331(f331(f80(a1),x43551),a101))),f331(f331(f18(a1,a876,a876),f331(f331(f7(a1,a876,f885(a876,a876)),f331(f331(f8(a871,f885(a876,f885(a876,a876)),a1),f100(a876)),a200)),f331(a116,x43552))),f331(f331(f8(a876,a876,a1),a116),f331(f331(f8(a876,a876,a1),f331(f243(a876),x43552)),a108)))),f331(f331(f243(a876),f331(a116,x43552)),f331(f107(a876),x43551))) % 159.04/158.75 [4375]E(f331(f141(f877(x43751),f877(x43751),f126(x43751),f117(x43751)),f331(f331(f153(f877(x43751),f877(x43751)),f155(f877(x43751),x43751,f117(x43751),f331(f331(f8(f877(x43751),f885(f877(x43751),f877(x43751)),x43751),f16(f877(x43751),f877(x43751))),f331(f331(f7(x43751,f877(x43751),f877(x43751)),f150(x43751)),f117(x43751))))),x43752)),f331(f331(f153(f877(x43751),x43751),f140(x43751)),f331(f135(f877(x43751),f331(f331(f8(a871,a871,f877(x43751)),a326),f331(f331(f7(f877(x43751),f877(x43751),a871),a328),f117(x43751)))),x43752))) % 159.04/158.75 [4438]E(f331(f269(a1,a1,a871),f331(f331(f7(a1,f885(a1,a871),f885(a1,a871)),f331(f331(f8(f885(a1,f885(a871,a871)),f885(f885(a1,a871),f885(a1,a871)),a1),f18(a1,a871,a871)),f331(f331(f8(f885(a1,a871),f885(a1,f885(a871,a871)),a1),f331(f8(a871,f885(a871,a871),a1),a329)),f331(f331(f8(f885(a1,a1),f885(a1,a871),a1),f331(f8(a1,a871,a1),f331(a328,x44381))),f331(f331(f8(a1,f885(a1,a1),a1),f80(a1)),f331(f81(a1),x44382)))))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f331(f8(a871,a871,a1),f331(a334,f331(f331(f245(a1),f2(a1)),x44382))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f244(a1),f2(a1)))),f331(f331(f7(a1,a1,a871),f245(a1)),x44382))))),f331(f331(f8(a871,a871,a1),f331(a334,f331(a326,f331(f331(f245(a1),f2(a1)),x44382)))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f245(a1),x44382))),f331(f331(f7(a1,a1,a871),f244(a1)),f2(a1))))))),f49(x44381,x44382)) % 159.04/158.75 [4440]E(f331(f250(x44401),f331(f331(f8(f885(a876,a871),a871,x44401),f87(a876)),f331(f331(f7(x44401,f885(a876,a871),f885(a876,a871)),f331(f331(f8(f885(a876,f885(a871,a871)),f885(f885(a876,a871),f885(a876,a871)),x44401),f18(a876,a871,a871)),f331(f331(f8(f885(a876,a871),f885(a876,f885(a871,a871)),x44401),f331(f8(a871,f885(a871,a871),a876),a329)),f331(f331(f7(x44401,f885(a876,x44401),f885(a876,a871)),f331(f331(f8(f885(x44401,a871),f885(f885(a876,x44401),f885(a876,a871)),x44401),f8(x44401,a871,a876)),a328)),f331(f164(x44401),x44402))))),f331(f331(f7(a876,a876,a871),f245(a876)),f331(f195(f877(x44401)),x44402))))),f331(f172(x44401),x44402)) % 159.04/158.75 [4244]E(f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),x42441),a101)),x42442)),f331(f331(f22(a1),f331(f331(f80(a1),x42441),a101)),x42442))),a101),f331(f331(f22(a1),f331(f331(f80(a1),x42441),x42441)),f331(f331(f22(a1),f331(f331(f80(a1),x42442),x42442)),a101))) % 159.04/158.75 [4370]E(f331(f141(f877(f877(x43701)),f877(f877(x43701)),f126(f877(x43701)),f117(f877(x43701))),f331(f331(f153(f877(x43701),f877(f877(x43701))),f155(f877(f877(x43701)),x43701,f117(f877(x43701)),f331(f16(f885(f877(x43701),f877(f877(x43701))),x43701),f331(f331(f7(f877(x43701),f877(f877(x43701)),f877(f877(x43701))),f150(f877(x43701))),f117(f877(x43701)))))),x43702)),f331(f331(f153(f877(x43701),f877(x43701)),f171(x43701)),f331(f135(f877(x43701),f331(f331(f8(a871,a871,f877(x43701)),a326),f331(f331(f7(f877(x43701),f877(x43701),a871),a328),f117(x43701)))),x43702))) % 159.04/158.75 [4381]E(f331(f331(f86(a1,a876),f331(f107(a1),f331(f331(f80(a1),x43811),a101))),f331(f331(f18(a1,a876,a876),f331(f331(f7(a1,a876,f885(a876,a876)),f331(f331(f8(a871,f885(a876,f885(a876,a876)),a1),f100(a876)),a200)),f2(a876))),f331(f331(f8(a876,a876,a1),a116),f331(f331(f7(a1,a876,a876),f331(f331(f8(a876,f885(a876,a876),a1),f242(a876)),a108)),x43812)))),f331(f331(f242(a876),f331(f107(a876),x43811)),f331(a116,x43812))) % 159.04/158.75 [4382]E(f331(f331(f86(a1,a876),f331(f107(a1),f331(f331(f80(a1),x43821),a101))),f331(f331(f18(a1,a876,a876),f331(f331(f7(a1,a876,f885(a876,a876)),f331(f331(f8(a871,f885(a876,f885(a876,a876)),a1),f100(a876)),a200)),f331(a116,x43822))),f331(f331(f8(a876,a876,a1),a116),f331(f331(f7(a1,a876,a876),f331(f331(f8(a876,f885(a876,a876),a1),f243(a876)),a108)),x43822)))),f331(f331(f243(a876),f331(f107(a876),x43821)),f331(a116,x43822))) % 159.04/158.75 [4369]E(f331(f269(x43691,x43691,a871),f331(f331(f18(x43691,a871,f885(x43691,a871)),f331(f331(f8(f885(x43691,f885(a871,a871)),f885(a871,f885(x43691,a871)),x43691),f7(x43691,a871,a871)),f331(f331(f8(f885(x43691,a871),f885(x43691,f885(a871,a871)),x43691),f331(f8(a871,f885(a871,a871),x43691),a329)),a328))),x43692)),f262(x43691,x43692)) % 159.04/158.75 [4416]E(f331(f331(f39(a876),x44161),f331(f331(f80(a876),f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))),x44162)),f331(f331(f39(a876),x44161),f331(a116,f331(a116,f331(a116,x44162))))) % 159.04/158.75 [4417]E(f45(a876,x44171,f331(f331(f80(a876),f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))),x44172)),f45(a876,x44171,f331(a116,f331(a116,f331(a116,x44172))))) % 159.04/158.75 [4418]E(f45(a876,f331(f331(f80(a876),f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))),x44181),x44182),f45(a876,f331(a116,f331(a116,f331(a116,x44181))),x44182)) % 159.04/158.75 [4431]E(f125(f331(x44311,f331(f331(f81(a103),f331(f107(a103),f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))),x44312))),f331(f210(x44311),x44312)) % 159.04/158.75 [4432]E(f331(f331(f39(a876),f331(f331(f80(a876),f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))),x44321)),x44322),f331(f331(f39(a876),f331(a116,f331(a116,f331(a116,x44321)))),x44322)) % 159.04/158.75 [4481]~E(f33(x44811,x44812),f331(a28,x44813)) % 159.04/158.75 [4482]~E(f32(x44821,x44822),f331(a28,x44823)) % 159.04/158.75 [4483]~E(f331(a28,x44831),f33(x44832,x44833)) % 159.04/158.75 [4484]~E(f331(a28,x44841),f32(x44842,x44843)) % 159.04/158.75 [4498]~E(f30(x44981,x44982,x44983),a24) % 159.04/158.75 [4499]~E(f29(x44991,x44992,x44993),a24) % 159.04/158.75 [3198]E(f331(f199(x31981,x31982),x31983),f123(x31981,x31982)) % 159.04/158.75 [3219]E(f331(f209(x32191,x32192),x32193),f331(f127(x32191),x32192)) % 159.04/158.75 [3300]E(f331(f331(f208(x33001,x33002),x33003),f197(x33001)),f197(x33002)) % 159.04/158.75 [3301]E(f331(f331(f153(x33011,x33012),x33013),f117(x33011)),f117(x33012)) % 159.04/158.75 [3341]E(f331(f190(x33411,x33412,x33413),f2(a876)),x33412) % 159.04/158.75 [3343]E(f331(f331(f182(x33431,x33432),x33433),f117(x33432)),f117(f884(x33431,x33432))) % 159.04/158.75 [3377]E(f85(x33771,f63(x33771,x33772,x33773)),f331(f64(x33771,x33772),x33773)) % 159.04/158.75 [3381]E(f254(x33811,x33812,f254(x33812,x33811,x33813)),x33813) % 159.04/158.75 [3429]E(f139(x34291,x34292,f151(x34291,x34293)),f151(x34291,f139(x34291,x34292,x34293))) % 159.04/158.75 [3448]E(f331(f264(f877(x34481),f877(x34481)),f166(x34481,x34482,x34483)),f331(f135(x34481,x34482),x34483)) % 159.04/158.75 [3494]E(f331(f331(f150(x34941),x34942),f169(x34941,x34943,x34942)),f169(x34941,f331(a116,x34943),x34942)) % 159.04/158.75 [3526]E(f191(x35261,x35262,x35263,f2(a876)),x35262) % 159.04/158.75 [3527]E(f17(x35271,x35272,x35273,f2(a103)),x35272) % 159.04/158.75 [3534]E(f162(x35341,x35342,x35343,f117(x35341)),f117(x35342)) % 159.04/158.75 [3535]E(f163(x35351,x35352,x35353,f117(x35351)),f117(x35352)) % 159.04/158.75 [3542]E(f331(f331(f164(x35421),f331(f331(f150(x35421),x35422),x35423)),f2(a876)),x35422) % 159.04/158.75 [3570]E(f60(x35701,x35702,f117(x35701),x35703),f117(f884(x35701,x35702))) % 159.04/158.75 [3591]P21(x35911,x35912,x35913,f194(f885(x35911,a871))) % 159.04/158.75 [3750]E(f331(f73(x37501,x37502,x37501,x37503),f34(x37501)),x37503) % 159.04/158.75 [3929]P104(f331(f331(f333(f884(x39291,x39291)),f331(f331(f265(x39291,x39291),x39292),x39292)),f306(x39291,x39293))) % 159.04/158.75 [4563]~P104(f331(f331(f333(f884(f877(x45631),f877(x45631))),f331(f331(f265(f877(x45631),f877(x45631)),x45632),f117(x45631))),f146(x45631,x45633))) % 159.04/158.75 [4564]~P104(f331(f331(f333(f884(f877(x45641),f877(x45641))),f331(f331(f265(f877(x45641),f877(x45641)),x45642),f117(x45641))),f144(x45641,x45643))) % 159.04/158.75 [4565]~P104(f331(f331(f333(f884(f877(x45651),f877(x45651))),f331(f331(f265(f877(x45651),f877(x45651)),x45652),f117(x45651))),f156(x45651,x45653))) % 159.04/158.75 [4567]~P104(f331(f331(f333(f884(f877(x45671),f877(x45671))),f331(f331(f265(f877(x45671),f877(x45671)),f117(x45671)),x45672)),f144(x45671,x45673))) % 159.04/158.75 [4568]~P104(f331(f331(f333(f884(f877(x45681),f877(x45681))),f331(f331(f265(f877(x45681),f877(x45681)),f117(x45681)),x45682)),f156(x45681,x45683))) % 159.04/158.75 [3273]E(f331(f331(f211(x32731),x32732),x32733),f212(x32731,f224(x32732,x32733))) % 159.04/158.75 [3330]E(f331(f285(x33301,x33302),f331(f285(x33302,x33301),x33303)),x33303) % 159.04/158.75 [3353]E(f331(f331(f182(x33531,x33532),f117(x33531)),x33533),f117(f884(x33531,x33532))) % 159.04/158.75 [3356]E(f176(x33561,x33562,f331(f251(a876),x33563)),f331(f331(f175(x33561),x33563),x33562)) % 159.04/158.75 [3373]E(f151(x33731,f331(f135(x33731,x33732),x33733)),f331(f135(x33731,x33732),f151(x33731,x33733))) % 159.04/158.75 [3375]E(f331(f261(x33751,x33752),f331(f285(x33752,x33751),x33753)),f331(f263(x33752,x33751),x33753)) % 159.04/158.75 [3376]E(f331(f263(x33761,x33762),f331(f285(x33762,x33761),x33763)),f331(f261(x33762,x33761),x33763)) % 159.04/158.75 [3393]E(f331(f135(x33931,x33932),f331(f168(x33931),x33933)),f331(f168(x33931),f331(f135(x33931,x33932),x33933))) % 159.04/158.75 [3406]E(f331(f331(f137(x34061),x34062),f331(f171(x34061),x34063)),f331(f331(f137(x34061),f331(a116,x34062)),x34063)) % 159.04/158.75 [3424]E(f31(f29(x34241,x34242,x34243)),f331(f331(f80(a876),f31(x34243)),f331(a116,f2(a876)))) % 159.04/158.75 [3425]E(f331(f309(x34251,x34252,x34253),f194(f885(x34251,a871))),f194(f885(x34252,a871))) % 159.04/158.75 [3426]E(f331(f310(x34261,x34262,x34263),f194(f885(x34262,a871))),f194(f885(x34261,a871))) % 159.04/158.75 [3427]E(f331(f310(x34271,x34272,x34273),f253(f885(x34272,a871))),f253(f885(x34271,a871))) % 159.04/158.75 [3428]E(f331(f284(x34281,x34282,x34283),f194(f885(x34281,a871))),f194(f885(x34282,a871))) % 159.04/158.75 [3457]E(f331(f331(f308(x34571),x34572),f331(f172(x34571),x34573)),f331(f172(x34571),f139(x34571,x34572,x34573))) % 159.04/158.75 [3469]E(f238(x34691,x34692,f331(f236(x34691),x34693)),f331(f331(f80(a876),f331(x34692,x34693)),f331(a116,f2(a876)))) % 159.04/158.75 [3546]E(f331(f195(a873),f29(x35461,x35462,x35463)),f331(f331(f80(a876),f331(f195(a873),x35463)),f331(a116,f2(a876)))) % 159.04/158.75 [3547]E(f331(f309(f884(x35471,x35472),x35472,f268(x35471,x35472)),x35473),f331(f261(x35471,x35472),x35473)) % 159.04/158.75 [3548]E(f331(f309(f884(x35481,x35482),x35481,f264(x35481,x35482)),x35483),f331(f263(x35481,x35482),x35483)) % 159.04/158.75 [3617]E(f331(f331(f265(x36171,x36172),f331(f264(x36171,x36172),x36173)),f331(f268(x36171,x36172),x36173)),x36173) % 159.04/158.75 [3624]E(f331(f195(f878(x36241)),f128(x36241,x36242,x36243)),f331(f331(f80(a876),f331(f195(f878(x36241)),x36243)),f331(a116,f2(a876)))) % 159.04/158.75 [3627]E(f331(f331(f269(x36271,x36272,x36271),f16(x36271,x36272)),x36273),f331(f264(x36271,x36272),x36273)) % 159.04/158.75 [3647]E(f185(x36471,x36472,x36473,f331(f16(f880(x36472),x36471),f197(x36472))),x36473) % 159.04/158.75 [3648]E(f185(x36481,x36482,f331(f16(f880(x36482),x36481),f197(x36482)),x36483),x36483) % 159.04/158.75 [3704]E(f31(f30(x37041,x37042,x37043)),f331(f331(f80(a876),f331(f331(f80(a876),f31(x37042)),f31(x37043))),f331(a116,f2(a876)))) % 159.04/158.75 [3753]E(f331(f73(x37531,x37531,x37532,f34(x37531)),x37533),x37533) % 159.04/158.75 [3761]E(f331(f331(f126(x37611),f169(x37611,x37612,x37613)),f331(f331(f150(x37611),x37613),f117(x37611))),f331(f331(f150(x37611),x37613),f169(x37611,x37612,x37613))) % 159.04/158.75 [3863]E(f331(f195(a873),f30(x38631,x38632,x38633)),f331(f331(f80(a876),f331(f331(f80(a876),f331(f195(a873),x38632)),f331(f195(a873),x38633))),f331(a116,f2(a876)))) % 159.04/158.75 [3939]P104(f331(f331(f244(f885(x39391,a871)),f331(f172(x39391),f331(f135(x39391,x39392),x39393))),f331(f172(x39391),x39393))) % 159.04/158.75 [3984]P104(f331(f331(f244(f885(x39841,a871)),f331(f172(x39841),f331(f331(f175(x39841),x39842),x39843))),f331(f172(x39841),x39843))) % 159.04/158.75 [3985]P104(f331(f331(f244(f885(x39851,a871)),f331(f172(x39851),f331(f331(f137(x39851),x39852),x39853))),f331(f172(x39851),x39853))) % 159.04/158.75 [3990]P104(f331(f331(f244(f885(x39901,a871)),f331(f172(x39901),f170(x39901,x39902,x39903))),f331(f172(x39901),x39903))) % 159.04/158.75 [3991]P104(f331(f331(f244(f885(x39911,a871)),f331(f172(x39911),f176(x39911,x39912,x39913))),f331(f172(x39911),x39912))) % 159.04/158.75 [4014]P21(f884(x40141,x40142),f884(x40142,x40141),f331(f269(x40141,x40142,f884(x40142,x40141)),f331(f7(x40142,x40141,f884(x40142,x40141)),f265(x40142,x40141))),x40143) % 159.04/158.75 [4026]E(f331(f331(f331(f189(f877(x40261),f877(x40261)),f45(a876,x40262,f331(f195(f877(x40261)),x40263))),f167(x40261)),x40263),f331(f331(f331(f189(f877(x40261),f877(x40261)),x40262),f167(x40261)),x40263)) % 159.04/158.75 [4068]P104(f331(f331(f333(f884(f877(x40681),f877(x40681))),f331(f331(f265(f877(x40681),f877(x40681)),x40682),x40682)),f157(x40681,f306(x40681,x40683)))) % 159.04/158.75 [4214]E(f85(f884(x42141,x42142),f331(f331(f18(f884(x42141,x42142),x42142,a871),f331(f331(f8(x42141,f885(x42142,a871),f884(x42141,x42142)),x42143),f264(x42141,x42142))),f268(x42141,x42142))),f85(f884(x42141,x42142),f331(f269(x42141,x42142,a871),x42143))) % 159.04/158.75 [4215]E(f90(f884(x42151,x42152),f331(f331(f18(f884(x42151,x42152),x42152,a871),f331(f331(f8(x42151,f885(x42152,a871),f884(x42151,x42152)),x42153),f264(x42151,x42152))),f268(x42151,x42152))),f90(f884(x42151,x42152),f331(f269(x42151,x42152,a871),x42153))) % 159.04/158.75 [4251]E(f331(f331(f286(f884(a876,x42511),x42511),f324(a876,x42511,a249,x42512)),f331(f331(f18(x42511,x42511,f884(a876,x42511)),f331(f331(f8(a876,f885(x42511,f884(a876,x42511)),x42511),f265(a876,x42511)),x42513)),f5(x42511))),f325(x42511,x42513,x42512)) % 159.04/158.75 [4317]E(f331(f270(x43171,x43171,x43172,x43172,f5(x43171),f5(x43172)),x43173),x43173) % 159.04/158.75 [4392]E(f331(f141(f877(f877(x43921)),f877(f877(x43921)),f126(f877(x43921)),f117(f877(x43921))),f331(f331(f153(f877(x43921),f877(f877(x43921))),f331(f331(f7(f877(x43921),f877(x43921),f877(f877(x43921))),f331(f331(f8(f885(x43921,f877(x43921)),f885(f877(x43921),f877(f877(x43921))),f877(x43921)),f153(x43921,f877(x43921))),f331(f7(x43921,f877(x43921),f877(x43921)),f150(x43921)))),x43922)),f55(x43921,x43923,x43922))),f55(x43921,f331(a116,x43923),x43922)) % 159.04/158.75 [4453]E(f331(f239(a876,f884(x44531,f878(x44531)),f2(a876),f331(f269(x44531,f878(x44531),a876),f331(f331(f7(x44531,a876,f885(f878(x44531),a876)),f331(f331(f8(f885(f878(x44531),f885(a876,a876)),f885(a876,f885(f878(x44531),a876)),x44531),f7(f878(x44531),a876,a876)),f331(f331(f8(f885(f878(x44531),a876),f885(f878(x44531),f885(a876,a876)),x44531),f331(f8(a876,f885(a876,a876),f878(x44531)),f80(a876))),f331(f331(f7(x44531,f885(f878(x44531),a876),f885(f878(x44531),a876)),f331(f331(f8(f885(a876,a876),f885(f885(f878(x44531),a876),f885(f878(x44531),a876)),x44531),f8(a876,a876,f878(x44531))),f331(f331(f8(a876,f885(a876,a876),x44531),f80(a876)),x44532))),f130(x44531,x44532))))),f78(a876)))),f331(f133(x44531),x44533)),f331(f130(x44531,x44532),x44533)) % 159.04/158.75 [4456]E(f331(f331(f86(a1,x44561),f227(f331(f331(f73(f884(a1,a1),a1,x44561,f268(a1,a1)),f221(x44561)),x44562),f331(f331(f73(f884(a1,a1),a1,x44561,f268(a1,a1)),f221(x44561)),x44563))),f331(f331(f18(a1,a1,x44561),f331(f331(f8(a1,f885(a1,x44561),a1),f211(x44561)),f331(f331(f18(a1,a1,a1),f331(f331(f8(a1,f885(a1,a1),a1),f80(a1)),f331(f331(f8(a1,a1,a1),f331(f81(a1),f331(f331(f73(f884(a1,a1),a1,x44561,f264(a1,a1)),f221(x44561)),x44562))),f331(f331(f7(a1,a1,a1),f39(a1)),f331(f331(f73(f884(a1,a1),a1,x44561,f268(a1,a1)),f221(x44561)),x44562))))),f331(f331(f8(a1,a1,a1),f331(f81(a1),f331(f331(f73(f884(a1,a1),a1,x44561,f264(a1,a1)),f221(x44561)),x44563))),f331(f331(f7(a1,a1,a1),f39(a1)),f331(f331(f73(f884(a1,a1),a1,x44561,f268(a1,a1)),f221(x44561)),x44563)))))),f5(a1))),f232(x44561,x44562,x44563)) % 159.04/158.75 [4494]~E(f331(f331(f150(x44941),x44942),x44943),x44943) % 159.04/158.75 [4501]~E(f331(f331(f150(x45011),x45012),x45013),f117(x45011)) % 159.04/158.75 [4517]~E(f331(f331(f308(x45171),x45172),x45173),f194(f885(x45171,a871))) % 159.04/158.75 [4540]~E(f331(f309(x45401,f885(x45401,a871),x45402),x45403),f331(f307(x45401),x45403)) % 159.04/158.75 [3335]E(f331(f331(f158(x33351,f117(x33351)),x33352),x33353),f117(x33351)) % 159.04/158.75 [3336]E(f331(f140(x33361),f331(f331(f150(x33361),x33362),x33363)),x33362) % 159.04/158.75 [3337]E(f331(f171(x33371),f331(f331(f150(x33371),x33372),x33373)),x33373) % 159.04/158.75 [3380]E(f331(f331(f137(x33801),f78(a876)),f331(f331(f150(x33801),x33802),x33803)),x33803) % 159.04/158.75 [3413]E(f118(x34131,f331(f331(f137(x34131),x34132),x34133)),f331(f331(f137(x34131),x34132),f118(x34131,x34133))) % 159.04/158.75 [3415]E(f331(f331(f158(x34151,x34152),x34153),f331(f331(f164(x34151),x34152),x34153)),x34152) % 159.04/158.75 [3439]E(f331(f331(f308(x34391),x34392),f331(f331(f308(x34391),x34392),x34393)),f331(f331(f308(x34391),x34392),x34393)) % 159.04/158.75 [3450]E(f331(f331(f178(x34501,x34502),f117(f884(x34501,x34502))),x34503),f197(x34502)) % 159.04/158.75 [3453]E(f331(f331(f308(x34531),x34532),f331(f172(x34531),x34533)),f331(f172(x34531),f331(f331(f150(x34531),x34532),x34533))) % 159.04/158.75 [3455]E(f331(f331(f137(x34551),x34552),f331(f171(x34551),x34553)),f331(f171(x34551),f331(f331(f137(x34551),x34552),x34553))) % 159.04/158.75 [3466]E(f331(f331(f175(x34661),f78(a876)),f331(f331(f150(x34661),x34662),x34663)),f331(f331(f150(x34661),x34662),f117(x34661))) % 159.04/158.75 [3511]E(f331(f64(x35111,x35112),f331(f331(f308(x35111),x35113),f194(f885(x35111,a871)))),x35113) % 159.04/158.75 [3554]E(f331(f331(f80(a876),x35541),f331(f331(f80(a876),x35542),x35543)),f331(f331(f80(a876),x35542),f331(f331(f80(a876),x35541),x35543))) % 159.04/158.75 [3555]E(f331(f331(f80(a1),x35551),f331(f331(f80(a1),x35552),x35553)),f331(f331(f80(a1),x35552),f331(f331(f80(a1),x35551),x35553))) % 159.04/158.75 [3560]E(f331(f331(f267(x35601,x35602),f194(f885(x35601,a871))),x35603),f194(f885(f884(x35601,x35602),a871))) % 159.04/158.75 [3583]E(f331(f331(f114(f885(x35831,a871)),x35832),x35833),f331(f331(f114(f885(x35831,a871)),x35833),x35832)) % 159.04/158.75 [3584]E(f331(f331(f105(f885(x35841,a871)),x35842),x35843),f331(f331(f105(f885(x35841,a871)),x35843),x35842)) % 159.04/158.75 [3586]E(f331(f331(f126(x35861),x35862),f331(f331(f150(x35861),x35863),f117(x35861))),f331(f167(x35861),f331(f331(f150(x35861),x35863),x35862))) % 159.04/158.75 [3587]E(f331(f331(f126(x35871),f331(f168(x35871),x35872)),f331(f168(x35871),x35873)),f331(f168(x35871),f331(f331(f126(x35871),x35873),x35872))) % 159.04/158.75 [3595]E(f331(f171(x35951),f331(f331(f175(x35951),f331(a116,x35952)),x35953)),f331(f331(f175(x35951),x35952),f331(f171(x35951),x35953))) % 159.04/158.75 [3602]P104(f331(f331(f333(x36021),x36022),f331(f331(f308(x36021),x36022),x36023))) % 159.04/158.75 [3606]E(f331(f331(f43(x36061,f885(x36062,a871)),f194(f885(x36061,a871))),x36063),f253(f885(x36062,a871))) % 159.04/158.75 [3609]E(f331(f284(x36091,x36091,f262(x36091,x36092)),x36093),f331(f331(f105(f885(x36091,a871)),x36092),x36093)) % 159.04/158.75 [3623]E(f331(f195(f877(x36231)),f331(f331(f150(x36231),x36232),x36233)),f331(f331(f80(a876),f331(f195(f877(x36231)),x36233)),f331(a116,f2(a876)))) % 159.04/158.75 [3629]E(f118(x36291,f331(f331(f126(x36291),x36292),f331(f331(f150(x36291),x36293),f117(x36291)))),x36292) % 159.04/158.75 [3630]E(f143(x36301,f331(f331(f126(x36301),x36302),f331(f331(f150(x36301),x36303),f117(x36301)))),x36303) % 159.04/158.75 [3636]E(f331(f331(f126(x36361),f331(f331(f175(x36361),x36362),x36363)),f331(f331(f137(x36361),x36362),x36363)),x36363) % 159.04/158.75 [3645]E(f331(f331(f22(a876),f331(f331(f80(a876),x36451),x36452)),f331(f331(f80(a876),x36453),x36452)),f331(f331(f22(a876),x36451),x36453)) % 159.04/158.75 [3646]E(f331(f331(f22(a876),f331(f331(f80(a876),x36461),x36462)),f331(f331(f80(a876),x36461),x36463)),f331(f331(f22(a876),x36462),x36463)) % 159.04/158.75 [3653]E(f331(f331(f126(x36531),f331(f168(x36531),x36532)),f331(f331(f150(x36531),x36533),f117(x36531))),f331(f168(x36531),f331(f331(f150(x36531),x36533),x36532))) % 159.04/158.75 [3655]E(f331(f331(f80(a876),f331(f195(f877(x36551)),x36552)),f331(f195(f877(x36551)),x36553)),f331(f195(f877(x36551)),f331(f331(f126(x36551),x36552),x36553))) % 159.04/158.75 [3658]E(f331(f331(f80(a876),f331(f195(f877(x36581)),x36582)),f331(f195(f877(x36581)),x36583)),f331(f195(f877(x36581)),f173(x36581,x36582,x36583))) % 159.04/158.75 [3666]E(f331(f331(f114(f885(x36661,a871)),f331(f172(x36661),x36662)),f331(f172(x36661),x36663)),f331(f172(x36661),f331(f331(f126(x36661),x36662),x36663))) % 159.04/158.75 [3667]E(f45(a876,f331(f331(f81(a876),x36671),x36672),f331(f331(f81(a876),x36671),x36673)),f331(f331(f81(a876),x36671),f45(a876,x36672,x36673))) % 159.04/158.75 [3680]E(f331(f331(f175(x36801),f331(f331(f22(a876),x36802),f78(a876))),f331(f171(x36801),x36803)),f331(f171(x36801),f331(f331(f175(x36801),x36802),x36803))) % 159.04/158.75 [3685]E(f331(f331(f105(f885(x36851,a871)),x36852),f331(f79(f885(x36851,a871)),x36853)),f331(f331(f22(f885(x36851,a871)),x36852),x36853)) % 159.04/158.75 [3686]E(f331(f331(f22(f885(x36861,a871)),x36862),f331(f79(f885(x36861,a871)),x36863)),f331(f331(f105(f885(x36861,a871)),x36862),x36863)) % 159.04/158.75 [3708]E(f331(f331(f267(x37081,x37082),x37083),f331(f16(f885(x37082,a871),x37081),f194(f885(x37082,a871)))),f194(f885(f884(x37081,x37082),a871))) % 159.04/158.75 [3710]E(f331(f331(f22(a876),f331(f331(f81(a876),x37101),x37102)),f331(f331(f81(a876),x37101),x37103)),f331(f331(f81(a876),x37101),f331(f331(f22(a876),x37102),x37103))) % 159.04/158.75 [3711]E(f331(f331(f80(a876),f331(f331(f81(a876),x37111),x37112)),f331(f331(f81(a876),x37111),x37113)),f331(f331(f81(a876),x37111),f331(f331(f80(a876),x37112),x37113))) % 159.04/158.75 [3712]E(f331(f331(f22(a1),f331(f331(f81(a1),x37121),x37122)),f331(f331(f81(a1),x37121),x37123)),f331(f331(f81(a1),x37121),f331(f331(f22(a1),x37122),x37123))) % 159.04/158.75 [3713]E(f331(f331(f80(a1),f331(f331(f81(a1),x37131),x37132)),f331(f331(f81(a1),x37131),x37133)),f331(f331(f81(a1),x37131),f331(f331(f80(a1),x37132),x37133))) % 159.04/158.75 [3714]E(f331(f331(f81(a1),f331(f331(f255(a1),x37141),x37142)),f331(f331(f255(a1),x37141),x37143)),f331(f331(f255(a1),x37141),f331(f331(f80(a876),x37142),x37143))) % 159.04/158.75 [3728]E(f331(f331(f42(x37281,f885(x37282,a871)),x37283),f331(f16(f885(x37282,a871),x37281),f194(f885(x37282,a871)))),f194(f885(x37282,a871))) % 159.04/158.75 [3730]E(f45(a876,f331(f331(f81(a876),x37301),x37302),f331(f331(f81(a876),x37303),x37302)),f331(f331(f81(a876),f45(a876,x37301,x37303)),x37302)) % 159.04/158.75 [3734]E(f45(a1,f331(f331(f22(a1),x37341),f45(a1,x37342,x37343)),x37343),f45(a1,f331(f331(f22(a1),x37341),x37342),x37343)) % 159.04/158.75 [3735]E(f45(a1,f331(f331(f81(a1),x37351),f45(a1,x37352,x37353)),x37353),f45(a1,f331(f331(f81(a1),x37351),x37352),x37353)) % 159.04/158.75 [3736]P104(f331(f331(f244(f885(x37361,a871)),x37362),f331(f331(f308(x37361),x37363),x37362))) % 159.04/158.75 [3739]E(f331(f309(f884(x37391,x37392),x37391,f264(x37391,x37392)),f331(f172(f884(x37391,x37392)),x37393)),f184(x37391,x37392,f331(f178(x37391,x37392),x37393))) % 159.04/158.75 [3788]P104(f331(f62(x37881),f184(x37881,x37882,f331(f178(x37881,x37882),x37883)))) % 159.04/158.75 [3813]E(f331(f331(f43(f885(x38131,a871),f885(x38131,a871)),x38132),f331(f114(f885(x38131,a871)),x38133)),f331(f331(f114(f885(x38131,a871)),x38133),f41(f885(x38131,a871),x38132))) % 159.04/158.75 [3814]E(f331(f331(f42(f885(x38141,a871),f885(x38141,a871)),x38142),f331(f105(f885(x38141,a871)),x38143)),f331(f331(f105(f885(x38141,a871)),x38143),f40(f885(x38141,a871),x38142))) % 159.04/158.75 [3825]E(f331(f172(x38251),f331(f331(f331(f189(f877(x38251),f877(x38251)),x38252),f167(x38251)),x38253)),f331(f172(x38251),x38253)) % 159.04/158.75 [3829]E(f331(f331(f175(x38291),f331(f195(f877(x38291)),f177(x38291,x38292,x38293))),x38293),f177(x38291,x38292,x38293)) % 159.04/158.75 [3830]E(f184(x38301,x38302,f331(f331(f8(x38302,f880(x38302),x38301),f236(x38302)),x38303)),f253(f885(x38301,a871))) % 159.04/158.75 [3834]E(f331(f195(f877(x38341)),f331(f331(f331(f189(f877(x38341),f877(x38341)),x38342),f167(x38341)),x38343)),f331(f195(f877(x38341)),x38343)) % 159.04/158.75 [3837]E(f331(f331(f269(x38371,x38372,x38372),f331(f16(f885(x38372,x38372),x38371),f5(x38372))),x38373),f331(f268(x38371,x38372),x38373)) % 159.04/158.75 [3844]E(f45(a1,f331(f331(f22(a1),f45(a1,x38441,x38442)),x38443),x38442),f45(a1,f331(f331(f22(a1),x38441),x38443),x38442)) % 159.04/158.75 [3845]E(f45(a1,f331(f331(f255(a1),f45(a1,x38451,x38452)),x38453),x38452),f45(a1,f331(f331(f255(a1),x38451),x38453),x38452)) % 159.04/158.75 [3848]E(f331(f331(f42(f885(f884(x38481,x38482),a871),f885(x38482,a871)),x38483),f261(x38481,x38482)),f331(f261(x38481,x38482),f40(f885(f884(x38481,x38482),a871),x38483))) % 159.04/158.75 [3849]E(f331(f331(f42(f885(f884(x38491,x38492),a871),f885(x38491,a871)),x38493),f263(x38491,x38492)),f331(f263(x38491,x38492),f40(f885(f884(x38491,x38492),a871),x38493))) % 159.04/158.75 [3875]E(f331(f73(x38751,x38751,x38751,x38752),f331(f331(f189(x38751,x38751),x38753),x38752)),f331(f331(f189(x38751,x38751),f331(a116,x38753)),x38752)) % 159.04/158.75 [3885]E(f239(f880(x38851),x38852,f197(x38851),f331(f331(f8(x38851,f880(x38851),x38852),f236(x38851)),x38853)),f331(f208(x38852,x38851),x38853)) % 159.04/158.75 [3892]E(f331(f331(f137(x38921),f331(f331(f22(a876),f331(f195(f877(x38921)),x38922)),x38923)),f331(f168(x38921),x38922)),f331(f168(x38921),f331(f331(f175(x38921),x38923),x38922))) % 159.04/158.75 [3893]E(f331(f331(f175(x38931),f331(f331(f22(a876),f331(f195(f877(x38931)),x38932)),x38933)),f331(f168(x38931),x38932)),f331(f168(x38931),f331(f331(f137(x38931),x38933),x38932))) % 159.04/158.75 [3896]E(f331(f331(f80(a876),f331(f165(a876),f331(f331(f153(x38961,a876),x38962),x38963))),f331(f195(f877(x38961)),x38963)),f154(x38961,x38962,x38963)) % 159.04/158.75 [3915]E(f331(f167(x39151),f331(f331(f331(f189(f877(x39151),f877(x39151)),x39152),f167(x39151)),x39153)),f331(f331(f331(f189(f877(x39151),f877(x39151)),f331(a116,x39152)),f167(x39151)),x39153)) % 159.04/158.75 [3930]P104(f331(f331(f244(a876),f331(f195(f877(x39301)),f331(f135(x39301,x39302),x39303))),f331(f195(f877(x39301)),x39303))) % 159.04/158.75 [3947]E(f331(f331(f114(f885(f885(x39471,a871),a871)),f331(f307(x39471),x39472)),f331(f309(f885(x39471,a871),f885(x39471,a871),f331(f308(x39471),x39473)),f331(f307(x39471),x39472))),f331(f307(x39471),f331(f331(f308(x39471),x39473),x39472))) % 159.04/158.75 [3966]P20(x39661,x39662,f331(f331(f308(f875(x39661)),f331(f331(f331(f92(x39661),x39663),a24),x39663)),f194(f885(f875(x39661),a871)))) % 159.04/158.75 [3981]P104(f331(f331(f244(a876),f331(f195(f877(x39811)),f177(x39811,x39812,x39813))),f331(f195(f877(x39811)),x39813))) % 159.04/158.75 [3989]E(f331(f263(x39891,x39892),f331(f250(f884(x39891,x39892)),f331(f269(x39891,x39892,a871),x39893))),f331(f250(x39891),f331(f331(f8(f885(x39892,a871),a871,x39891),f87(x39892)),x39893))) % 159.04/158.75 [4001]E(f331(f309(a876,a876,f331(f331(f7(a876,a876,a876),f80(a876)),x40011)),f301(a876,x40012,x40013)),f301(a876,f331(f331(f80(a876),x40012),x40011),f331(f331(f80(a876),x40013),x40011))) % 159.04/158.75 [4004]P104(f331(f62(f880(x40041)),f331(f309(x40042,f880(x40041),f331(f178(x40042,x40041),x40043)),f253(f885(x40042,a871))))) % 159.04/158.75 [4017]E(f331(f309(a876,a876,f331(f331(f7(a876,a876,a876),f80(a876)),x40171)),f331(f300(a876,x40172),x40173)),f331(f300(a876,f331(f331(f80(a876),x40172),x40171)),f331(f331(f80(a876),x40173),x40171))) % 159.04/158.75 [4035]E(f331(f331(f182(x40351,x40352),f331(f331(f153(f884(x40351,x40352),x40351),f264(x40351,x40352)),x40353)),f331(f331(f153(f884(x40351,x40352),x40352),f268(x40351,x40352)),x40353)),x40353) % 159.04/158.75 [4040]E(f331(f331(f80(a876),f331(f331(f81(a876),x40401),f45(a876,f331(f331(f39(a876),x40402),x40401),x40403))),f45(a876,x40402,x40401)),f45(a876,x40402,f331(f331(f81(a876),x40401),x40403))) % 159.04/158.75 [4054]E(f331(f331(f126(x40541),x40542),f331(f141(f877(x40541),f877(x40541),f126(x40541),f117(x40541)),x40543)),f331(f141(f877(x40541),f877(x40541),f126(x40541),x40542),x40543)) % 159.04/158.75 [4072]P104(f331(f331(f333(f884(x40721,x40721)),f331(f331(f265(x40721,x40721),x40722),x40722)),f331(f331(f189(f884(x40721,x40721),a871),f2(a876)),x40723))) % 159.04/158.75 [4078]E(f331(f250(x40781),f331(f331(f8(f885(x40782,a871),a871,x40781),f87(x40782)),f331(f7(x40782,x40781,a871),x40783))),f331(f261(x40782,x40781),f331(f250(f884(x40782,x40781)),f331(f269(x40782,x40781,a871),x40783)))) % 159.04/158.75 [4096]E(f331(f331(f114(f885(x40961,a871)),f331(f331(f42(a876,f885(x40961,a871)),f301(a876,f78(a876),x40962)),x40963)),f331(x40963,f2(a876))),f331(f331(f42(a876,f885(x40961,a871)),f331(f299(a876),x40962)),x40963)) % 159.04/158.75 [4111]E(f331(f141(f877(x41111),f877(x41111),f126(x41111),f117(x41111)),f331(f331(f153(f877(x41111),f877(x41111)),f135(x41111,x41112)),x41113)),f331(f135(x41111,x41112),f331(f141(f877(x41111),f877(x41111),f126(x41111),f117(x41111)),x41113))) % 159.04/158.75 [4116]E(f331(f268(f877(x41161),f877(x41161)),f166(x41161,x41162,x41163)),f331(f135(x41161,f331(f73(a871,a871,x41161,a326),x41162)),x41163)) % 159.04/158.75 [4134]E(f331(f331(f43(x41341,f885(x41342,a871)),f253(f885(x41341,a871))),f331(f331(f8(f885(x41342,a871),f885(x41342,a871),x41341),f250(x41342)),f331(f7(x41342,x41341,a871),x41343))),f331(f250(x41342),f331(f331(f8(f885(x41341,a871),a871,x41342),f88(x41341)),x41343))) % 159.04/158.75 [4166]E(f331(f331(f80(a1),f331(f331(f80(a1),f331(f331(f81(a1),x41661),f331(f331(f39(a1),x41662),x41661))),f45(a1,x41662,x41661))),x41663),f331(f331(f80(a1),x41662),x41663)) % 159.04/158.75 [4203]E(f331(f331(f80(a1),f331(f331(f80(a1),f331(f331(f81(a1),f331(f331(f39(a1),x42031),x42032)),x42032)),f45(a1,x42031,x42032))),x42033),f331(f331(f80(a1),x42031),x42033)) % 159.04/158.75 [4232]E(f85(f884(x42321,x42322),f331(f269(x42321,x42322,a871),f331(f331(f8(f885(x42322,f884(x42321,x42322)),f885(x42322,a871),x42321),f331(f8(f884(x42321,x42322),a871,x42322),x42323)),f265(x42321,x42322)))),f85(f884(x42321,x42322),x42323)) % 159.04/158.75 [4233]E(f90(f884(x42331,x42332),f331(f269(x42331,x42332,a871),f331(f331(f8(f885(x42332,f884(x42331,x42332)),f885(x42332,a871),x42331),f331(f8(f884(x42331,x42332),a871,x42332),x42333)),f265(x42331,x42332)))),f90(f884(x42331,x42332),x42333)) % 159.04/158.75 [4262]P104(f331(f331(f244(f885(x42621,a871)),f40(f885(x42621,a871),f331(f331(f105(f885(f885(x42621,a871),a871)),x42622),x42623))),f331(f331(f105(f885(x42621,a871)),f40(f885(x42621,a871),x42622)),f40(f885(x42621,a871),x42623)))) % 159.04/158.75 [4263]E(f331(f168(x42631),f331(f331(f331(f189(f877(x42631),f877(x42631)),f331(f331(f22(a876),f331(f195(f877(x42631)),x42632)),f45(a876,x42633,f331(f195(f877(x42631)),x42632)))),f167(x42631)),x42632)),f331(f331(f331(f189(f877(x42631),f877(x42631)),x42633),f167(x42631)),f331(f168(x42631),x42632))) % 159.04/158.75 [4277]E(f331(f250(x42771),f331(f331(f8(a871,a871,x42771),a326),f331(f331(f7(x42771,f880(x42772),a871),f331(f331(f8(f880(x42772),f885(f880(x42772),a871),x42771),a328),x42773)),f197(x42772)))),f184(x42771,x42772,x42773)) % 159.04/158.75 [4302]P104(f331(f331(f244(a876),f331(f195(f877(x43021)),f331(f331(f137(x43021),f331(f195(f877(x43021)),f177(x43021,x43022,x43023))),x43023))),f331(f195(f877(x43021)),x43023))) % 159.04/158.75 [4343]E(f331(f250(x43431),f331(f331(f8(f885(x43432,a871),a871,x43431),f87(x43432)),f331(f331(f8(f880(x43431),f885(x43432,a871),x43431),f331(f7(x43432,f880(x43431),a871),f331(f331(f8(f880(x43431),f885(f880(x43431),a871),x43432),a328),x43433))),f236(x43431)))),f186(x43432,x43431,x43433)) % 159.04/158.75 [4554]~P104(f331(f63(x45541,x45542,f194(f885(x45541,a871))),x45543)) % 159.04/158.75 [4561]~P104(f331(f331(f333(f884(x45611,x45611)),f331(f331(f265(x45611,x45611),x45612),x45613)),f152(x45611,f117(f885(x45611,a876))))) % 159.04/158.75 [3596]E(f331(f195(f877(x35961)),f331(f331(f175(x35961),x35962),x35963)),f331(f331(f242(a876),f331(f195(f877(x35961)),x35963)),x35962)) % 159.04/158.75 [3597]E(f331(f195(f877(x35971)),f331(f331(f137(x35971),x35972),x35973)),f331(f331(f22(a876),f331(f195(f877(x35971)),x35973)),x35972)) % 159.04/158.75 [3622]E(f331(f195(f877(f877(x36221))),f55(x36221,x36222,x36223)),f331(f331(f255(a876),f331(f195(f877(x36221)),x36223)),x36222)) % 159.04/158.75 [3638]E(f331(f331(f39(a876),f331(f331(f39(a876),x36381),x36382)),x36383),f331(f331(f39(a876),x36381),f331(f331(f81(a876),x36382),x36383))) % 159.04/158.75 [3639]E(f331(f331(f22(a876),f331(f331(f22(a876),x36391),x36392)),x36393),f331(f331(f22(a876),x36391),f331(f331(f80(a876),x36392),x36393))) % 159.04/158.75 [3640]E(f331(f331(f81(a876),f331(f331(f81(a876),x36401),x36402)),x36403),f331(f331(f81(a876),x36401),f331(f331(f81(a876),x36402),x36403))) % 159.04/158.75 [3641]E(f331(f331(f81(a1),f331(f331(f81(a1),x36411),x36412)),x36413),f331(f331(f81(a1),x36411),f331(f331(f81(a1),x36412),x36413))) % 159.04/158.75 [3642]E(f331(f331(f80(a876),f331(f331(f80(a876),x36421),x36422)),x36423),f331(f331(f80(a876),x36421),f331(f331(f80(a876),x36422),x36423))) % 159.04/158.75 [3643]E(f331(f331(f80(a1),f331(f331(f80(a1),x36431),x36432)),x36433),f331(f331(f80(a1),x36431),f331(f331(f80(a1),x36432),x36433))) % 159.04/158.75 [3644]E(f331(f331(f255(a1),f331(f331(f255(a1),x36441),x36442)),x36443),f331(f331(f255(a1),x36441),f331(f331(f81(a876),x36442),x36443))) % 159.04/158.75 [3664]E(f161(x36641,f331(f331(f150(f885(x36641,a871)),x36642),x36643)),f174(x36641,x36642,f161(x36641,x36643))) % 159.04/158.75 [3709]E(f331(f331(f22(a876),f331(f331(f22(a876),x37091),x37092)),x37093),f331(f331(f22(a876),f331(f331(f22(a876),x37091),x37093)),x37092)) % 159.04/158.75 [3715]E(f331(f236(f884(x37151,f878(x37151))),f331(f331(f265(x37151,f878(x37151)),x37152),x37153)),f331(f133(x37151),f128(x37151,x37152,x37153))) % 159.04/158.75 [3718]E(f331(f331(f105(f885(x37181,a871)),x37182),f331(f331(f22(f885(x37181,a871)),x37183),x37182)),f194(f885(x37181,a871))) % 159.04/158.75 [3759]E(f40(f885(x37591,a871),f331(f331(f308(f885(x37591,a871)),x37592),x37593)),f331(f331(f114(f885(x37591,a871)),x37592),f40(f885(x37591,a871),x37593))) % 159.04/158.75 [3760]E(f41(f885(x37601,a871),f331(f331(f308(f885(x37601,a871)),x37602),x37603)),f331(f331(f105(f885(x37601,a871)),x37602),f41(f885(x37601,a871),x37603))) % 159.04/158.75 [3763]E(f331(f331(f22(a876),f331(f331(f81(a876),x37631),x37632)),f331(f331(f81(a876),x37633),x37632)),f331(f331(f81(a876),f331(f331(f22(a876),x37631),x37633)),x37632)) % 159.04/158.75 [3764]E(f331(f331(f80(a876),f331(f331(f81(a876),x37641),x37642)),f331(f331(f81(a876),x37643),x37642)),f331(f331(f81(a876),f331(f331(f80(a876),x37641),x37643)),x37642)) % 159.04/158.75 [3765]E(f331(f331(f22(a1),f331(f331(f81(a1),x37651),x37652)),f331(f331(f81(a1),x37653),x37652)),f331(f331(f81(a1),f331(f331(f22(a1),x37651),x37653)),x37652)) % 159.04/158.75 [3766]E(f331(f331(f80(a1),f331(f331(f81(a1),x37661),x37662)),f331(f331(f81(a1),x37663),x37662)),f331(f331(f81(a1),f331(f331(f80(a1),x37661),x37663)),x37662)) % 159.04/158.75 [3768]E(f331(f331(f242(a876),f331(f331(f22(a876),x37681),x37682)),f331(f331(f22(a876),x37683),x37682)),f331(f331(f22(a876),f331(f331(f242(a876),x37681),x37683)),x37682)) % 159.04/158.75 [3791]E(f331(f331(f105(f885(f877(x37911),a871)),f159(x37911,x37912)),f159(x37911,x37913)),f159(x37911,f331(f331(f105(f885(x37911,a871)),x37912),x37913))) % 159.04/158.75 [3793]E(f331(f331(f114(f885(x37931,a871)),x37932),f331(f331(f22(f885(x37931,a871)),x37933),x37932)),f331(f331(f114(f885(x37931,a871)),x37932),x37933)) % 159.04/158.75 [3794]E(f331(f331(f114(f885(x37941,a871)),x37942),f331(f331(f114(f885(x37941,a871)),x37942),x37943)),f331(f331(f114(f885(x37941,a871)),x37942),x37943)) % 159.04/158.75 [3795]E(f331(f331(f105(f885(x37951,a871)),x37952),f331(f331(f105(f885(x37951,a871)),x37952),x37953)),f331(f331(f105(f885(x37951,a871)),x37952),x37953)) % 159.04/158.75 [3807]E(f331(f331(f287(x38071,x38072,x38072),x38073),f306(x38072,f194(f885(f884(x38072,x38072),a871)))),x38073) % 159.04/158.75 [3810]E(f331(f331(f114(f885(x38101,a871)),f331(f331(f308(x38101),x38102),f194(f885(x38101,a871)))),x38103),f331(f331(f308(x38101),x38102),x38103)) % 159.04/158.75 [3828]E(f331(f331(f22(a876),f331(f331(f22(a876),f331(a116,x38281)),x38282)),f331(a116,x38283)),f331(f331(f22(a876),f331(f331(f22(a876),x38281),x38282)),x38283)) % 159.04/158.75 [3857]E(f331(f331(f105(f885(f885(x38571,a871),a871)),f331(f307(x38571),x38572)),f331(f307(x38571),x38573)),f331(f307(x38571),f331(f331(f105(f885(x38571,a871)),x38572),x38573))) % 159.04/158.75 [3861]E(f331(f331(f114(f885(x38611,a871)),f331(f79(f885(x38611,a871)),x38612)),x38613),f331(f79(f885(x38611,a871)),f331(f331(f22(f885(x38611,a871)),x38612),x38613))) % 159.04/158.75 [3872]E(f331(f331(f308(x38721),x38722),f331(f331(f22(f885(x38721,a871)),x38723),f331(f331(f308(x38721),x38722),f194(f885(x38721,a871))))),f331(f331(f308(x38721),x38722),x38723)) % 159.04/158.75 [3882]P104(f331(f331(f244(f885(x38821,a871)),x38822),f331(f331(f114(f885(x38821,a871)),x38823),x38822))) % 159.04/158.75 [3883]P104(f331(f331(f244(f885(x38831,a871)),x38832),f331(f331(f114(f885(x38831,a871)),x38832),x38833))) % 159.04/158.75 [3886]E(f331(f331(f105(f885(x38861,a871)),f331(f79(f885(x38861,a871)),x38862)),f331(f79(f885(x38861,a871)),x38863)),f331(f79(f885(x38861,a871)),f331(f331(f114(f885(x38861,a871)),x38862),x38863))) % 159.04/158.75 [3887]E(f331(f331(f114(f885(x38871,a871)),f331(f79(f885(x38871,a871)),x38872)),f331(f79(f885(x38871,a871)),x38873)),f331(f79(f885(x38871,a871)),f331(f331(f105(f885(x38871,a871)),x38872),x38873))) % 159.04/158.75 [3901]P104(f331(f331(f244(f885(x39011,a871)),f331(f172(x39011),x39012)),f331(f172(x39011),f331(f331(f150(x39011),x39013),x39012)))) % 159.04/158.75 [3912]E(f331(f331(f114(f885(x39121,a871)),f331(f331(f22(f885(x39121,a871)),x39122),x39123)),f331(f331(f105(f885(x39121,a871)),x39122),x39123)),x39122) % 159.04/158.75 [3968]E(f331(f331(f6(x39681,a1),f331(f331(f8(a876,a1,x39681),f104(a1)),x39682)),x39683),f331(f104(a1),f331(f331(f6(x39681,a876),x39682),x39683))) % 159.04/158.75 [3969]E(f331(f331(f9(x39691,a1),f331(f331(f8(a876,a1,x39691),f104(a1)),x39692)),x39693),f331(f104(a1),f331(f331(f9(x39691,a876),x39692),x39693))) % 159.04/158.75 [4019]E(f331(f331(f126(x40191),f177(x40191,x40192,x40193)),f331(f331(f137(x40191),f331(f195(f877(x40191)),f177(x40191,x40192,x40193))),x40193)),x40193) % 159.04/158.75 [4024]E(f331(f79(f885(f884(x40241,x40242),a871)),f331(f331(f267(x40241,x40242),x40243),f331(f16(f885(x40242,a871),x40241),f253(f885(x40242,a871))))),f331(f331(f267(x40241,x40242),f331(f79(f885(x40241,a871)),x40243)),f331(f16(f885(x40242,a871),x40241),f253(f885(x40242,a871))))) % 159.04/158.75 [4025]E(f331(f79(f885(f884(x40251,x40252),a871)),f331(f331(f267(x40251,x40252),f253(f885(x40251,a871))),f331(f16(f885(x40252,a871),x40251),x40253))),f331(f331(f267(x40251,x40252),f253(f885(x40251,a871))),f331(f16(f885(x40252,a871),x40251),f331(f79(f885(x40252,a871)),x40253)))) % 159.04/158.75 [4073]E(f331(f331(f42(f885(x40731,a871),f885(x40731,a871)),x40732),f331(f331(f7(f885(x40731,a871),f885(x40731,a871),f885(x40731,a871)),f105(f885(x40731,a871))),x40733)),f331(f331(f105(f885(x40731,a871)),f40(f885(x40731,a871),x40732)),x40733)) % 159.04/158.75 [4080]E(f331(f141(f877(x40801),f877(x40801),f126(x40801),f117(x40801)),f331(f331(f150(f877(x40801)),x40802),x40803)),f331(f331(f126(x40801),x40802),f331(f141(f877(x40801),f877(x40801),f126(x40801),f117(x40801)),x40803))) % 159.04/158.75 [4102]E(f331(f331(f308(f885(x41021,a871)),f331(f284(x41021,x41021,x41022),f331(f331(f308(x41021),x41023),f194(f885(x41021,a871))))),f194(f885(f885(x41021,a871),a871))),f331(f331(f61(x41021),f331(f331(f308(x41021),x41023),f194(f885(x41021,a871)))),x41022)) % 159.04/158.75 [4112]E(f331(f331(f80(a876),f331(f331(f81(a876),x41121),f331(f331(f39(a876),x41122),x41123))),f331(f331(f39(a876),f331(f331(f81(a876),x41121),f45(a876,x41122,x41123))),x41123)),f331(f331(f39(a876),f331(f331(f81(a876),x41121),x41122)),x41123)) % 159.04/158.75 [4113]E(f331(f331(f80(a1),f331(f331(f81(a1),x41131),f331(f331(f39(a1),x41132),x41133))),f331(f331(f39(a1),f331(f331(f81(a1),x41131),f45(a1,x41132,x41133))),x41133)),f331(f331(f39(a1),f331(f331(f81(a1),x41131),x41132)),x41133)) % 159.04/158.75 [4150]E(f331(f331(f22(f885(x41501,a871)),f331(f172(x41501),x41502)),f331(f331(f308(x41501),x41503),f194(f885(x41501,a871)))),f331(f172(x41501),f331(f135(x41501,f331(f331(f8(a871,a871,x41501),a326),f331(a328,x41503))),x41502))) % 159.04/158.75 [4200]E(f331(f331(f126(x42001),f331(f141(f877(x42001),f877(x42001),f126(x42001),f117(x42001)),x42002)),f331(f141(f877(x42001),f877(x42001),f126(x42001),f117(x42001)),x42003)),f331(f141(f877(x42001),f877(x42001),f126(x42001),f117(x42001)),f331(f331(f126(f877(x42001)),x42002),x42003))) % 159.04/158.75 [4205]E(f331(f331(f265(f877(x42051),f877(x42051)),f331(f135(x42051,x42052),x42053)),f331(f135(x42051,f331(f73(a871,a871,x42051,a326),x42052)),x42053)),f166(x42051,x42052,x42053)) % 159.04/158.75 [4208]E(f331(f331(f80(a876),f331(f331(f80(a876),f331(f331(f39(a876),x42081),x42082)),f331(f331(f39(a876),x42083),x42082))),f331(f331(f39(a876),f331(f331(f80(a876),f45(a876,x42081,x42082)),f45(a876,x42083,x42082))),x42082)),f331(f331(f39(a876),f331(f331(f80(a876),x42081),x42083)),x42082)) % 159.04/158.75 [4209]E(f331(f331(f80(a1),f331(f331(f80(a1),f331(f331(f39(a1),x42091),x42092)),f331(f331(f39(a1),x42093),x42092))),f331(f331(f39(a1),f331(f331(f80(a1),f45(a1,x42091,x42092)),f45(a1,x42093,x42092))),x42092)),f331(f331(f39(a1),f331(f331(f80(a1),x42091),x42093)),x42092)) % 159.04/158.75 [4266]E(f331(f331(f105(f885(f877(x42661),a871)),f331(f331(f7(f877(x42661),f885(f877(x42661),a871),a871),f333(f877(x42661))),f160(x42661,x42662))),f331(f331(f7(f877(x42661),f885(f877(x42661),a871),a871),f333(f877(x42661))),f160(x42661,x42663))),f159(x42661,f331(f331(f105(f885(x42661,a871)),f331(f331(f7(x42661,f885(x42661,a871),a871),f333(x42661)),x42662)),f331(f331(f7(x42661,f885(x42661,a871),a871),f333(x42661)),x42663)))) % 159.04/158.75 [4279]E(f331(f250(x42791),f331(f331(f18(x42791,a871,a871),f331(f331(f8(a871,f885(a871,a871),x42791),a330),f331(f331(f7(x42791,x42791,a871),a328),x42792))),f331(f331(f7(x42791,f885(x42791,a871),a871),f333(x42791)),x42793))),f331(f331(f308(x42791),x42792),x42793)) % 159.04/158.75 [4299]E(f331(f331(f86(f877(f877(x42991)),f877(f877(x42991))),f54(x42991,x42992)),f331(f331(f18(f877(f877(x42991)),f877(f877(x42991)),f877(f877(x42991))),f331(f331(f8(f877(f877(x42991)),f885(f877(f877(x42991)),f877(f877(x42991))),f877(f877(x42991))),f126(f877(x42991))),f331(f153(f877(x42991),f877(x42991)),f331(f150(x42991),x42993)))),f5(f877(f877(x42991))))),f54(x42991,f331(f331(f150(x42991),x42993),x42992))) % 159.04/158.75 [4303]E(f331(f250(x43031),f331(f331(f18(x43031,a871,a871),f331(f331(f8(a871,f885(a871,a871),x43031),a330),f331(f331(f7(x43031,f885(x43031,a871),a871),f333(x43031)),x43032))),f331(f331(f7(x43031,f885(x43031,a871),a871),f333(x43031)),x43033))),f331(f331(f114(f885(x43031,a871)),x43032),x43033)) % 159.04/158.75 [4304]E(f331(f250(x43041),f331(f331(f18(x43041,a871,a871),f331(f331(f8(a871,f885(a871,a871),x43041),a329),f331(f331(f7(x43041,f885(x43041,a871),a871),f333(x43041)),x43042))),f331(f331(f7(x43041,f885(x43041,a871),a871),f333(x43041)),x43043))),f331(f331(f105(f885(x43041,a871)),x43042),x43043)) % 159.04/158.75 [4395]E(f331(f331(f42(x43951,f885(f885(x43951,a871),a871)),x43952),f331(f331(f7(x43951,f885(f885(x43951,a871),a871),f885(f885(x43951,a871),a871)),f331(f331(f8(f885(x43951,a871),f885(f885(f885(x43951,a871),a871),f885(f885(x43951,a871),a871)),x43951),f308(f885(x43951,a871))),f331(f331(f8(f885(x43951,a871),f885(x43951,a871),x43951),f284(x43951,x43951,x43953)),f331(f331(f7(x43951,f885(x43951,a871),f885(x43951,a871)),f308(x43951)),f194(f885(x43951,a871)))))),f194(f885(f885(x43951,a871),a871)))),f331(f331(f61(x43951),x43952),x43953)) % 159.04/158.75 [4397]E(f331(f331(f211(x43971),f331(f331(f81(a1),f331(f331(f73(f884(a1,a1),a1,x43971,f264(a1,a1)),f221(x43971)),x43972)),f331(f331(f73(f884(a1,a1),a1,x43971,f264(a1,a1)),f221(x43971)),x43973))),f331(f331(f81(a1),f331(f331(f73(f884(a1,a1),a1,x43971,f268(a1,a1)),f221(x43971)),x43972)),f331(f331(f73(f884(a1,a1),a1,x43971,f268(a1,a1)),f221(x43971)),x43973))),f230(x43971,x43972,x43973)) % 159.04/158.75 [4400]E(f331(f250(f877(x44001)),f331(f331(f18(f877(x44001),a871,a871),f331(f331(f8(a871,f885(a871,a871),f877(x44001)),a329),f331(f331(f7(f877(x44001),a876,a871),f331(f331(f8(a876,f885(a876,a871),f877(x44001)),a328),f195(f877(x44001)))),x44002))),f331(f331(f7(f877(x44001),f885(x44001,a871),a871),f331(f331(f8(f885(x44001,a871),f885(f885(x44001,a871),a871),f877(x44001)),f244(f885(x44001,a871))),f172(x44001))),f331(f172(x44001),x44003)))),f331(f172(f877(x44001)),f55(x44001,x44002,x44003))) % 159.04/158.75 [3781]E(f45(a876,f331(f331(f80(a876),f331(f331(f81(a876),x37811),x37812)),x37813),x37812),f45(a876,x37813,x37812)) % 159.04/158.75 [3827]E(f138(a876,f331(f300(a876,f331(f331(f80(a876),x38271),x38272)),x38273)),f331(f331(f137(a876),x38272),f138(a876,f331(f300(a876,x38271),x38273)))) % 159.04/158.75 [3871]E(f331(f331(f80(a1),f331(f104(a1),x38711)),f331(f331(f80(a1),f331(f104(a1),x38712)),x38713)),f331(f331(f80(a1),f331(f104(a1),f331(f331(f80(a876),x38711),x38712))),x38713)) % 159.04/158.75 [3878]E(f331(f331(f22(f885(x38781,a871)),f331(f331(f22(f885(x38781,a871)),x38782),x38783)),x38783),f331(f331(f22(f885(x38781,a871)),x38782),x38783)) % 159.04/158.75 [3879]E(f331(f331(f114(f885(x38791,a871)),f331(f331(f22(f885(x38791,a871)),x38792),x38793)),x38793),f331(f331(f114(f885(x38791,a871)),x38792),x38793)) % 159.04/158.75 [3902]E(f331(f331(f287(x39021,x39021,x39022),f306(x39021,f194(f885(f884(x39021,x39021),a871)))),x39023),x39023) % 159.04/158.75 [3909]E(f331(f331(f114(f885(x39091,a871)),f331(f283(x39091),x39092)),f331(f283(x39091),x39093)),f331(f283(x39091),f331(f331(f114(f885(f884(x39091,x39091),a871)),x39092),x39093))) % 159.04/158.75 [3920]E(f274(x39201,f331(f331(f150(f884(a103,x39201)),f331(f331(f265(a103,x39201),f2(a103)),x39202)),x39203)),f274(x39201,x39203)) % 159.04/158.75 [3923]E(f331(f331(f114(f885(x39231,a871)),f40(f885(x39231,a871),x39232)),f40(f885(x39231,a871),x39233)),f40(f885(x39231,a871),f331(f331(f114(f885(f885(x39231,a871),a871)),x39232),x39233))) % 159.04/158.75 [3924]E(f331(f331(f105(f885(x39241,a871)),f41(f885(x39241,a871),x39242)),f41(f885(x39241,a871),x39243)),f41(f885(x39241,a871),f331(f331(f114(f885(f885(x39241,a871),a871)),x39242),x39243))) % 159.04/158.75 [3960]E(f331(f331(f287(x39601,x39601,x39601),f331(f331(f189(f884(x39601,x39601),a871),x39602),x39603)),x39603),f331(f331(f189(f884(x39601,x39601),a871),f331(a116,x39602)),x39603)) % 159.04/158.75 [4010]P104(f331(f331(f244(f885(x40101,a871)),f331(f331(f22(f885(x40101,a871)),x40102),x40103)),x40102)) % 159.04/158.75 [4011]P104(f331(f331(f244(f885(x40111,a871)),f331(f331(f105(f885(x40111,a871)),x40112),x40113)),x40113)) % 159.04/158.75 [4012]P104(f331(f331(f244(f885(x40121,a871)),f331(f331(f105(f885(x40121,a871)),x40122),x40123)),x40122)) % 159.04/158.75 [4037]E(f306(x40371,f331(f331(f114(f885(f884(x40371,x40371),a871)),f306(x40371,x40372)),f306(x40371,x40373))),f306(x40371,f331(f331(f114(f885(f884(x40371,x40371),a871)),x40372),x40373))) % 159.04/158.75 [4041]E(f40(f885(x40411,a871),f331(f331(f308(f885(x40411,a871)),x40412),f331(f331(f308(f885(x40411,a871)),x40413),f194(f885(f885(x40411,a871),a871))))),f331(f331(f114(f885(x40411,a871)),x40412),x40413)) % 159.04/158.75 [4042]E(f41(f885(x40421,a871),f331(f331(f308(f885(x40421,a871)),x40422),f331(f331(f308(f885(x40421,a871)),x40423),f194(f885(f885(x40421,a871),a871))))),f331(f331(f105(f885(x40421,a871)),x40422),x40423)) % 159.04/158.75 [4048]E(f331(f331(f287(x40481,x40481,x40481),f331(f331(f189(f884(x40481,x40481),a871),x40482),x40483)),x40483),f331(f331(f287(x40481,x40481,x40481),x40483),f331(f331(f189(f884(x40481,x40481),a871),x40482),x40483))) % 159.04/158.75 [4117]E(f331(f331(f114(f885(x41171,a871)),f331(f250(x41171),f331(f331(f7(x41171,x41171,a871),a328),x41172))),x41173),f331(f331(f308(x41171),x41172),x41173)) % 159.04/158.75 [4119]E(f331(a108,f331(f331(f6(x41191,a1),f331(f331(f8(a876,a1,x41191),f104(a1)),x41192)),x41193)),f331(f331(f6(x41191,a876),x41192),x41193)) % 159.04/158.75 [4120]E(f331(a108,f331(f331(f9(x41201,a1),f331(f331(f8(a876,a1,x41201),f104(a1)),x41202)),x41203)),f331(f331(f9(x41201,a876),x41202),x41203)) % 159.04/158.75 [4197]E(f331(f155(f877(x41971),x41971,f331(f171(x41971),x41972),f331(f16(f885(f877(x41971),f877(x41971)),x41971),f331(f331(f7(f877(x41971),f877(x41971),f877(x41971)),f126(x41971)),x41972))),x41973),f331(f171(x41971),f331(f331(f126(x41971),x41973),x41972))) % 159.04/158.75 [4228]P104(f331(f331(f244(f885(f885(x42281,a871),a871)),f331(f331(f114(f885(f885(x42281,a871),a871)),f331(f307(x42281),x42282)),f331(f307(x42281),x42283))),f331(f307(x42281),f331(f331(f114(f885(x42281,a871)),x42282),x42283)))) % 159.04/158.75 [4322]E(f331(f250(x43221),f331(f331(f18(x43221,a871,a871),f331(f331(f8(a871,f885(a871,a871),x43221),a329),f331(f331(f7(x43221,f885(x43221,a871),a871),f333(x43221)),x43222))),f331(f331(f8(a871,a871,x43221),a326),f331(f331(f7(x43221,f885(x43221,a871),a871),f333(x43221)),x43223)))),f331(f331(f22(f885(x43221,a871)),x43222),x43223)) % 159.04/158.75 [4344]E(f331(f38(a876),f331(f250(a876),f331(f331(f18(a876,a871,a871),f331(f331(f8(a871,f885(a871,a871),a876),a329),f331(f331(f7(a876,a876,a871),f245(a876)),f331(f195(f877(x43441)),x43442)))),f331(f331(f8(x43441,a871,a876),x43443),f331(f164(x43441),x43442))))),f331(f195(f877(x43441)),f331(f135(x43441,x43443),x43442))) % 159.04/158.75 [4346]E(f331(f195(f877(x43461)),f176(x43461,x43462,x43463)),f331(f38(a876),f331(f250(a876),f331(f331(f18(a876,a871,a871),f331(f331(f8(a871,f885(a871,a871),a876),a329),f331(f331(f7(a876,a876,a871),f245(a876)),f331(f195(f877(x43461)),x43462)))),f331(f331(f7(a876,f885(a876,a871),a871),f333(a876)),x43463))))) % 159.04/158.75 [4443]E(f331(f331(f105(f885(f884(f877(x44431),f877(x44431)),a871)),f331(f309(f884(f884(x44431,f877(x44431)),f884(x44431,f877(x44431))),f884(f877(x44431),f877(x44431)),f270(f884(x44431,f877(x44431)),f877(x44431),f884(x44431,f877(x44431)),f877(x44431),f331(f269(x44431,f877(x44431),f877(x44431)),f150(x44431)),f331(f269(x44431,f877(x44431),f877(x44431)),f150(x44431)))),f324(x44431,f877(x44431),x44432,f331(f142(x44431,x44432),x44433)))),f331(f250(f884(f877(x44431),f877(x44431))),f331(f269(f877(x44431),f877(x44431),a871),f331(f331(f7(f877(x44431),f885(f877(x44431),a871),f885(f877(x44431),a871)),f331(f331(f8(f885(a871,a871),f885(f885(f877(x44431),a871),f885(f877(x44431),a871)),f877(x44431)),f8(a871,a871,f877(x44431))),f331(f331(f8(a871,f885(a871,a871),f877(x44431)),a329),f331(f331(f7(f877(x44431),a876,a871),f331(f331(f8(a876,f885(a876,a871),f877(x44431)),a328),f195(f877(x44431)))),f331(a116,x44433))))),f331(f331(f7(f877(x44431),a876,a871),f331(f331(f8(a876,f885(a876,a871),f877(x44431)),a328),f195(f877(x44431)))),f331(a116,x44433)))))),f331(f142(x44431,x44432),f331(a116,x44433))) % 159.04/158.75 [3925]E(f45(a876,f331(a116,f331(f331(f80(a876),f331(f331(f81(a876),x39251),x39252)),x39253)),x39252),f45(a876,f331(a116,x39253),x39252)) % 159.04/158.75 [4186]E(f331(f250(x41861),f331(f331(f18(x41861,a871,a871),f331(f331(f8(a871,f885(a871,a871),x41861),a329),x41862)),x41863)),f331(f331(f105(f885(x41861,a871)),f331(f250(x41861),x41862)),f331(f250(x41861),x41863))) % 159.04/158.75 [4187]E(f331(f250(x41871),f331(f331(f18(x41871,a871,a871),f331(f331(f8(a871,f885(a871,a871),x41871),a330),x41872)),x41873)),f331(f331(f114(f885(x41871,a871)),f331(f250(x41871),x41872)),f331(f250(x41871),x41873))) % 159.04/158.75 [4189]E(f331(f331(f126(x41891),f331(f331(f137(x41891),f45(a876,x41892,f331(f195(f877(x41891)),x41893))),x41893)),f331(f331(f175(x41891),f45(a876,x41892,f331(f195(f877(x41891)),x41893))),x41893)),f331(f331(f331(f189(f877(x41891),f877(x41891)),x41892),f167(x41891)),x41893)) % 159.04/158.75 [4194]E(f331(f250(x41941),f331(f331(f18(x41941,a871,a871),f331(f331(f8(a871,f885(a871,a871),x41941),a334),x41942)),x41943)),f331(f331(f114(f885(x41941,a871)),f331(f79(f885(x41941,a871)),f331(f250(x41941),x41942))),f331(f250(x41941),x41943))) % 159.04/158.75 [4210]E(f331(f331(f80(a876),f331(f195(f877(x42101)),f331(f135(x42101,x42102),x42103))),f331(f195(f877(x42101)),f331(f135(x42101,f331(f331(f8(a871,a871,x42101),a326),x42102)),x42103))),f331(f195(f877(x42101)),x42103)) % 159.04/158.75 [4235]P104(f331(f331(f244(f885(x42351,a871)),f331(f331(f114(f885(x42351,a871)),f41(f885(x42351,a871),x42352)),f41(f885(x42351,a871),x42353))),f41(f885(x42351,a871),f331(f331(f105(f885(f885(x42351,a871),a871)),x42352),x42353)))) % 159.04/158.75 [4249]E(f331(f172(x42491),f331(f135(x42491,f331(f331(f8(a871,a871,x42491),a326),f331(f331(f7(x42491,x42491,a871),a328),x42492))),x42493)),f331(f331(f22(f885(x42491,a871)),f331(f172(x42491),x42493)),f331(f331(f308(x42491),x42492),f194(f885(x42491,a871))))) % 159.04/158.75 [4258]P104(f331(f331(f244(f885(f884(x42581,x42581),a871)),f331(f331(f114(f885(f884(x42581,x42581),a871)),f306(x42581,x42582)),f306(x42581,x42583))),f306(x42581,f331(f331(f114(f885(f884(x42581,x42581),a871)),x42582),x42583)))) % 159.04/158.75 [4284]E(f331(f331(f81(a876),f331(a116,f331(a116,f2(a876)))),f331(f331(f6(a876,a876),f331(f331(f8(a876,a876,a876),f331(f80(a876),x42841)),f331(f331(f7(a876,a876,a876),f81(a876)),x42842))),f331(f251(a876),x42843))),f331(f331(f81(a876),x42843),f331(f331(f80(a876),x42841),f331(f331(f80(a876),x42841),f331(f331(f81(a876),f331(f331(f22(a876),x42843),f78(a876))),x42842))))) % 159.04/158.75 [4294]E(f331(f250(x42941),f331(f331(f18(x42941,a871,a871),f331(f331(f8(a871,f885(a871,a871),x42941),a329),f331(f331(f7(x42941,f885(x42941,a871),a871),f333(x42941)),f331(f172(x42941),x42942)))),x42943)),f331(f172(x42941),f331(f135(x42941,x42943),x42942))) % 159.04/158.75 [4442]E(f331(f250(x44421),f331(f331(f8(f885(a876,a871),a871,x44421),f87(a876)),f331(f331(f7(x44421,f885(a876,a871),f885(a876,a871)),f331(f331(f8(f885(a876,f885(a871,a871)),f885(f885(a876,a871),f885(a876,a871)),x44421),f18(a876,a871,a871)),f331(f331(f8(f885(a876,a871),f885(a876,f885(a871,a871)),x44421),f331(f8(a871,f885(a871,a871),a876),a329)),f331(f331(f7(x44421,f885(a876,x44421),f885(a876,a871)),f331(f331(f8(f885(x44421,a871),f885(f885(a876,x44421),f885(a876,a871)),x44421),f8(x44421,a871,a876)),a328)),f331(f164(x44421),x44422))))),f331(f331(f18(a876,a871,a871),f331(f331(f8(a871,f885(a871,a871),a876),a329),f331(f331(f7(a876,a876,a871),f245(a876)),f331(f195(f877(x44421)),x44422)))),f331(f331(f7(a876,f885(a876,a871),a871),f333(a876)),x44423))))),f331(f172(x44421),f176(x44421,x44422,x44423))) % 159.04/158.75 [4334]E(f331(f250(x43341),f331(f331(f18(x43341,a871,a871),f331(f331(f8(a871,f885(a871,a871),x43341),a334),f331(f331(f8(a871,a871,x43341),a326),f331(f331(f7(x43341,x43341,a871),a328),x43342)))),x43343)),f331(f331(f308(x43341),x43342),f331(f250(x43341),x43343))) % 159.04/158.75 [4366]E(f331(f331(f153(f884(x43661,a876),x43661),f264(x43661,a876)),f331(f135(f884(x43661,a876),f331(f331(f7(f884(x43661,a876),f885(a876,a871),a871),f331(f331(f8(a876,f885(f885(a876,a871),a871),f884(x43661,a876)),f333(a876)),f268(x43661,a876))),x43662)),f331(f331(f182(x43661,a876),x43663),f138(a876,f331(f300(a876,f2(a876)),f331(f195(f877(x43661)),x43663)))))),f176(x43661,x43663,x43662)) % 159.04/158.75 [4396]E(f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f6(a876,a1),f331(f331(f8(a1,a1,a876),f331(f80(a1),x43961)),f331(f331(f7(a876,a1,a1),f331(f331(f8(a1,f885(a1,a1),a876),f81(a1)),f104(a1))),x43962))),f331(f251(a876),x43963))),f331(f331(f81(a1),f331(f104(a1),x43963)),f331(f331(f80(a1),x43961),f331(f331(f80(a1),x43961),f331(f331(f81(a1),f331(f104(a1),f331(f331(f22(a876),x43963),f78(a876)))),x43962))))) % 159.04/158.75 [4436]E(f331(f250(f884(x44361,x44362)),f331(f269(x44361,x44362,a871),f331(f331(f7(x44361,f885(f884(x44362,x44361),a871),f885(x44362,a871)),f331(f331(f8(f885(x44362,f885(f885(f884(x44362,x44361),a871),a871)),f885(f885(f884(x44362,x44361),a871),f885(x44362,a871)),x44361),f7(x44362,f885(f884(x44362,x44361),a871),a871)),f331(f331(f8(f885(x44362,f884(x44362,x44361)),f885(x44362,f885(f885(f884(x44362,x44361),a871),a871)),x44361),f331(f8(f884(x44362,x44361),f885(f885(f884(x44362,x44361),a871),a871),x44362),f333(f884(x44362,x44361)))),f331(f7(x44362,x44361,f884(x44362,x44361)),f265(x44362,x44361))))),x44363))),f331(f285(x44362,x44361),x44363)) % 159.04/158.75 [4458]E(f331(f250(f877(x44581)),f331(f331(f8(f885(x44581,a871),a871,f877(x44581)),f87(x44581)),f331(f331(f8(f885(x44581,f885(f877(x44581),a871)),f885(x44581,a871),f877(x44581)),f331(f8(f885(f877(x44581),a871),a871,x44581),f87(f877(x44581)))),f331(f331(f7(f877(x44581),f885(x44581,f885(f877(x44581),a871)),f885(x44581,f885(f877(x44581),a871))),f331(f331(f8(f885(x44581,f885(f885(f877(x44581),a871),f885(f877(x44581),a871))),f885(f885(x44581,f885(f877(x44581),a871)),f885(x44581,f885(f877(x44581),a871))),f877(x44581)),f18(x44581,f885(f877(x44581),a871),f885(f877(x44581),a871))),f331(f331(f8(f885(x44581,f885(f877(x44581),f885(a871,a871))),f885(x44581,f885(f885(f877(x44581),a871),f885(f877(x44581),a871))),f877(x44581)),f331(f8(f885(f877(x44581),f885(a871,a871)),f885(f885(f877(x44581),a871),f885(f877(x44581),a871)),x44581),f18(f877(x44581),a871,a871))),f331(f331(f8(f885(x44581,f885(f877(x44581),a871)),f885(x44581,f885(f877(x44581),f885(a871,a871))),f877(x44581)),f331(f8(f885(f877(x44581),a871),f885(f877(x44581),f885(a871,a871)),x44581),f331(f8(a871,f885(a871,a871),f877(x44581)),a329))),f331(f331(f7(f877(x44581),f885(x44581,f885(f877(x44581),f877(x44581))),f885(x44581,f885(f877(x44581),a871))),f331(f331(f8(f885(f885(f877(x44581),f877(x44581)),f885(f877(x44581),a871)),f885(f885(x44581,f885(f877(x44581),f877(x44581))),f885(x44581,f885(f877(x44581),a871))),f877(x44581)),f8(f885(f877(x44581),f877(x44581)),f885(f877(x44581),a871),x44581)),f331(f331(f8(f885(f877(x44581),a871),f885(f885(f877(x44581),f877(x44581)),f885(f877(x44581),a871)),f877(x44581)),f8(f877(x44581),a871,f877(x44581))),a328))),f150(x44581)))))),f331(f331(f7(x44581,f885(f877(x44581),a871),f885(f877(x44581),a871)),f331(f331(f8(f885(a871,a871),f885(f885(f877(x44581),a871),f885(f877(x44581),a871)),x44581),f8(a871,a871,f877(x44581))),f331(f331(f8(a871,f885(a871,a871),x44581),a329),f331(f331(f7(x44581,f885(x44581,a871),a871),f333(x44581)),x44582)))),f331(f331(f7(f877(x44581),f885(f877(x44581),a871),a871),f333(f877(x44581))),x44583)))))),f174(x44581,x44582,x44583)) % 159.04/158.75 [4455]E(f331(f331(f86(a1,f884(a1,a1)),f331(f331(f22(a1),x44551),x44552)),f331(f331(f7(a1,f884(a1,a1),f884(a1,a1)),f331(f331(f18(a1,f884(a1,a1),f885(f884(a1,a1),f884(a1,a1))),f331(f331(f8(a871,f885(f884(a1,a1),f885(f884(a1,a1),f884(a1,a1))),a1),f100(f884(a1,a1))),f331(f244(a1),f2(a1)))),f331(f265(a1,a1),f331(f331(f80(a1),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x44553)),f78(a1))))),f331(f331(f265(a1,a1),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x44553)),x44551))),f331(f44(x44552),f331(f331(f265(a1,a1),x44553),x44551))) % 159.04/158.75 [4486]~E(f32(x44861,x44862),f33(x44863,x44864)) % 159.04/158.75 [4504]~E(f331(a28,x45041),f30(x45042,x45043,x45044)) % 159.04/158.75 [4505]~E(f331(a28,x45051),f29(x45052,x45053,x45054)) % 159.04/158.75 [4506]~E(f30(x45061,x45062,x45063),f331(a28,x45064)) % 159.04/158.75 [4507]~E(f29(x45071,x45072,x45073),f331(a28,x45074)) % 159.04/158.75 [3476]E(f331(f331(f331(f72(x34761,x34762),x34763),x34764),f331(x34763,x34764)),x34763) % 159.04/158.75 [3536]E(f331(f331(f256(x35361,x35362,x35363),x35364),f2(a876)),x35362) % 159.04/158.75 [3575]E(f191(x35751,x35752,x35753,f331(a116,x35754)),f331(x35753,x35754)) % 159.04/158.75 [3614]E(f170(x36141,x36142,f170(x36141,x36143,x36144)),f170(x36141,x36143,f170(x36141,x36142,x36144))) % 159.04/158.75 [3615]E(f120(x36151,f128(x36151,x36152,x36153),x36154),f128(x36151,x36152,f120(x36151,x36153,x36154))) % 159.04/158.75 [3749]E(f331(f239(x37491,x37492,x37493,x37494),f197(x37492)),x37493) % 159.04/158.75 [3751]E(f331(f155(x37511,x37512,x37513,x37514),f117(x37512)),x37513) % 159.04/158.75 [3752]E(f331(f141(x37521,x37522,x37523,x37524),f117(x37522)),x37524) % 159.04/158.75 [3868]E(f331(f239(f880(x38681),x38682,f197(x38681),f331(f16(f880(x38681),x38682),f197(x38681))),f331(x38683,x38684)),f197(x38681)) % 159.04/158.75 [3913]E(f331(f331(f114(f885(x39131,a871)),f184(x39131,x39132,x39133)),f184(x39131,x39132,x39134)),f184(x39131,x39132,f185(x39131,x39132,x39134,x39133))) % 159.04/158.75 [3945]E(f331(f331(f271(x39451,x39452,x39453,f884(x39452,x39453)),x39454),f265(x39452,x39453)),x39454) % 159.04/158.75 [3954]E(f240(x39541,x39542,x39543,x39544,f197(x39542)),x39543) % 159.04/158.75 [3955]E(f187(x39551,x39552,x39553,x39554,f117(x39552)),x39553) % 159.04/158.75 [3956]E(f187(x39561,x39562,x39563,f117(x39561),x39564),x39563) % 159.04/158.75 [4242]P43(x42421,x42422,x42423,x42424,f194(f885(x42421,a871)),x42424) % 159.04/158.75 [3279]E(f331(f331(f16(x32791,x32792),x32793),x32794),x32793) % 159.04/158.75 [3394]E(f331(f331(f208(x33941,x33942),x33943),f331(f236(x33941),x33944)),f331(f236(x33942),f331(x33943,x33944))) % 159.04/158.75 [3566]E(f170(x35661,x35662,f331(f135(x35661,x35663),x35664)),f331(f135(x35661,x35663),f170(x35661,x35662,x35664))) % 159.04/158.75 [3598]E(f331(f331(f65(x35981,x35982,x35983),x35984),f194(f885(x35981,a871))),x35984) % 159.04/158.75 [3621]E(f331(f331(f164(x36211),f331(f331(f150(x36211),x36212),x36213)),f331(a116,x36214)),f331(f331(f164(x36211),x36213),x36214)) % 159.04/158.75 [3665]P31(x36651,f2(a876),f331(f331(f331(f92(x36651),x36652),f331(a28,x36653)),x36654)) % 159.04/158.75 [3690]E(f331(f331(x36901,x36902),f331(f190(x36903,x36904,x36901),x36902)),f331(f190(x36903,x36904,x36901),f331(a116,x36902))) % 159.04/158.75 [3786]E(f331(f331(f158(x37861,f331(f331(f150(x37861),x37862),x37863)),f2(a876)),x37864),f331(f331(f150(x37861),x37864),x37863)) % 159.04/158.75 [3797]E(f331(f331(f42(f885(x37971,a871),f885(x37972,a871)),x37973),f309(x37971,x37972,x37974)),f331(f309(x37971,x37972,x37974),f40(f885(x37971,a871),x37973))) % 159.04/158.75 [3798]E(f331(f331(f42(f885(x37981,a871),f885(x37982,a871)),x37983),f310(x37982,x37981,x37984)),f331(f310(x37982,x37981,x37984),f40(f885(x37981,a871),x37983))) % 159.04/158.75 [3895]E(f184(x38951,x38952,f188(x38951,x38952,x38953,x38954)),f331(f331(f105(f885(x38951,a871)),f184(x38951,x38952,x38953)),x38954)) % 159.04/158.75 [3899]E(f331(f130(x38991,x38992),f128(x38991,x38993,x38994)),f331(f331(f80(a876),f331(f331(f80(a876),f331(x38992,x38993)),f331(f130(x38991,x38992),x38994))),f331(a116,f2(a876)))) % 159.04/158.75 [3919]E(f331(f141(x39191,x39192,f331(f7(x39192,x39191,x39191),x39193),x39194),f331(f168(x39192),f117(x39192))),x39194) % 159.04/158.75 [3967]E(f76(x39671,x39672,x39673,x39674,f194(f885(x39671,a871))),x39673) % 159.04/158.75 [4013]E(f331(f331(f331(f331(f72(x40131,f880(x40132)),f331(f16(f880(x40132),x40131),f197(x40132))),x40133),f197(x40132)),x40134),f197(x40132)) % 159.04/158.75 [4169]E(f331(f269(x41691,x41692,x41693),f331(f331(f8(f885(x41692,f884(x41691,x41692)),f885(x41692,x41693),x41691),f331(f8(f884(x41691,x41692),x41693,x41692),x41694)),f265(x41691,x41692))),x41694) % 159.04/158.75 [3474]E(f331(f268(x34741,x34742),f331(f331(f265(x34741,x34742),x34743),x34744)),x34744) % 159.04/158.75 [3475]E(f331(f264(x34751,x34752),f331(f331(f265(x34751,x34752),x34753),x34754)),x34753) % 159.04/158.75 [3509]E(f331(f195(f877(x35091)),f331(f331(f153(x35092,x35091),x35093),x35094)),f331(f195(f877(x35092)),x35094)) % 159.04/158.75 [3510]E(f331(f195(f877(x35101)),f331(f331(f158(x35101,x35102),x35103),x35104)),f331(f195(f877(x35101)),x35102)) % 159.04/158.75 [3530]E(f331(f331(f137(x35301),f331(a116,x35302)),f331(f331(f150(x35301),x35303),x35304)),f331(f331(f137(x35301),x35302),x35304)) % 159.04/158.75 [3600]E(f331(f331(f308(x36001),x36002),f331(f331(f308(x36001),x36003),x36004)),f331(f331(f308(x36001),x36003),f331(f331(f308(x36001),x36002),x36004))) % 159.04/158.75 [3603]E(f331(f331(f153(x36031,x36032),x36033),f118(x36031,x36034)),f118(x36032,f331(f331(f153(x36031,x36032),x36033),x36034))) % 159.04/158.75 [3619]E(f331(f168(x36191),f331(f331(f153(x36192,x36191),x36193),x36194)),f331(f331(f153(x36192,x36191),x36193),f331(f168(x36192),x36194))) % 159.04/158.75 [3620]E(f331(f331(f153(x36201,x36202),x36203),f331(f171(x36201),x36204)),f331(f171(x36202),f331(f331(f153(x36201,x36202),x36203),x36204))) % 159.04/158.75 [3633]E(f331(f331(f175(x36331),f331(a116,x36332)),f331(f331(f150(x36331),x36333),x36334)),f331(f331(f150(x36331),x36333),f331(f331(f175(x36331),x36332),x36334))) % 159.04/158.75 [3637]E(f331(f172(x36371),f331(f331(f153(x36372,x36371),x36373),x36374)),f331(f309(x36372,x36371,x36373),f331(f172(x36372),x36374))) % 159.04/158.75 [3689]E(f17(x36891,x36892,x36893,f331(a3,f331(a116,f331(a19,x36894)))),f331(x36893,x36894)) % 159.04/158.75 [3692]E(f331(f331(f126(x36921),f331(f135(x36921,x36922),x36923)),f331(f135(x36921,x36922),x36924)),f331(f135(x36921,x36922),f331(f331(f126(x36921),x36923),x36924))) % 159.04/158.75 [3705]E(f151(x37051,f331(f331(f153(x37052,x37051),x37053),f151(x37052,x37054))),f151(x37051,f331(f331(f153(x37052,x37051),x37053),x37054))) % 159.04/158.75 [3721]E(f331(f285(x37211,x37211),f331(f331(f286(x37212,x37211),x37213),x37214)),f331(f331(f286(x37212,x37211),f331(f285(x37212,x37212),x37213)),x37214)) % 159.04/158.75 [3731]E(f331(f331(f287(x37311,x37312,x37313),x37314),f194(f885(f884(x37312,x37313),a871))),f194(f885(f884(x37311,x37313),a871))) % 159.04/158.75 [3732]E(f331(f331(f175(x37321),f331(f331(f22(a876),x37322),x37323)),f331(f331(f137(x37321),x37323),x37324)),f331(f331(f137(x37321),x37323),f331(f331(f175(x37321),x37322),x37324))) % 159.04/158.75 [3778]E(f40(f885(x37781,a871),f331(f309(x37782,f885(x37781,a871),x37783),x37784)),f331(f331(f42(x37782,f885(x37781,a871)),x37784),x37783)) % 159.04/158.75 [3779]E(f41(f885(x37791,a871),f331(f309(x37792,f885(x37791,a871),x37793),x37794)),f331(f331(f43(x37792,f885(x37791,a871)),x37794),x37793)) % 159.04/158.75 [3780]E(f331(f195(f877(f884(x37801,x37802))),f331(f331(f182(x37801,x37802),x37803),x37804)),f331(f331(f242(a876),f331(f195(f877(x37801)),x37803)),f331(f195(f877(x37802)),x37804))) % 159.04/158.75 [3782]E(f331(f310(x37821,x37822,x37823),f331(f79(f885(x37822,a871)),x37824)),f331(f79(f885(x37821,a871)),f331(f310(x37821,x37822,x37823),x37824))) % 159.04/158.75 [3812]E(f331(f188(x38121,x38122,x38123,f194(f885(x38121,a871))),x38124),f197(x38122)) % 159.04/158.75 [3833]E(f331(f310(x38331,x38332,x38333),f331(f250(x38332),x38334)),f331(f250(x38331),f331(f331(f8(x38332,a871,x38331),x38334),x38333))) % 159.04/158.75 [3851]E(f331(f331(f164(x38511),f331(f331(f126(x38511),x38512),f331(f331(f150(x38511),x38513),x38514))),f331(f195(f877(x38511)),x38512)),x38513) % 159.04/158.75 [3856]E(f331(f188(x38561,x38562,f331(f16(f880(x38562),x38561),f197(x38562)),x38563),x38564),f197(x38562)) % 159.04/158.75 [3876]E(f331(f309(x38761,x38762,x38763),f331(f310(x38761,x38762,x38763),x38764)),f331(f331(f105(f885(x38762,a871)),x38764),f331(f309(x38761,x38762,x38763),f253(f885(x38761,a871))))) % 159.04/158.75 [3894]P104(f331(f331(f333(x38941),f331(x38942,x38943)),f331(f309(x38944,x38941,x38942),f253(f885(x38944,a871))))) % 159.04/158.75 [3906]E(f331(f331(f126(x39061),f169(x39061,x39062,x39063)),f331(f331(f150(x39061),x39063),x39064)),f331(f331(f150(x39061),x39063),f331(f331(f126(x39061),f169(x39061,x39062,x39063)),x39064))) % 159.04/158.75 [3908]E(f331(f331(f267(x39081,x39082),f331(f172(x39081),x39083)),f331(f16(f885(x39082,a871),x39081),f331(f172(x39082),x39084))),f331(f172(f884(x39081,x39082)),f60(x39081,x39082,x39083,x39084))) % 159.04/158.75 [3922]E(f154(x39221,x39222,f331(f331(f150(x39221),x39223),x39224)),f331(f331(f80(a876),f331(f331(f80(a876),f331(x39222,x39223)),f154(x39221,x39222,x39224))),f331(a116,f2(a876)))) % 159.04/158.75 [3936]E(f191(f877(x39361),f331(f331(f150(x39361),x39362),x39363),f331(f331(f7(a876,f877(x39361),f877(x39361)),f137(x39361)),x39363),x39364),f331(f331(f137(x39361),x39364),f331(f331(f150(x39361),x39362),x39363))) % 159.04/158.75 [3937]P21(x39371,f884(x39372,x39371),f335(x39373,x39374,x39372,x39371),f331(f331(f42(x39372,f885(x39371,a871)),x39374),x39373)) % 159.04/158.75 [3946]E(f331(f331(f22(f885(x39461,a871)),f331(f331(f22(f885(x39461,a871)),x39462),x39463)),f331(f331(f308(x39461),x39464),f194(f885(x39461,a871)))),f331(f331(f22(f885(x39461,a871)),x39462),f331(f331(f308(x39461),x39464),x39463))) % 159.04/158.75 [3958]E(f331(f331(f189(f885(x39581,x39582),f885(x39581,x39582)),x39583),f73(x39582,x39582,x39581,x39584)),f73(x39582,x39582,x39581,f331(f331(f189(x39582,x39582),x39583),x39584))) % 159.04/158.75 [4036]E(f331(f331(f331(f189(f877(x40361),f877(x40361)),x40362),f167(x40361)),f331(f331(f331(f189(f877(x40361),f877(x40361)),x40363),f167(x40361)),x40364)),f331(f331(f331(f189(f877(x40361),f877(x40361)),f331(f331(f80(a876),x40362),x40363)),f167(x40361)),x40364)) % 159.04/158.75 [4122]P104(f331(f331(f244(f885(x41221,a871)),f331(f172(x41221),f331(f331(f158(x41221,x41222),x41223),x41224))),f331(f331(f308(x41221),x41224),f331(f172(x41221),x41222)))) % 159.04/158.75 [4158]E(f331(f331(f42(f885(x41581,a871),f885(f884(x41581,x41582),a871)),x41583),f331(f331(f7(f885(x41581,a871),f885(x41581,f885(x41582,a871)),f885(f884(x41581,x41582),a871)),f267(x41581,x41582)),x41584)),f331(f331(f267(x41581,x41582),f40(f885(x41581,a871),x41583)),x41584)) % 159.04/158.75 [4196]E(f218(x41961,x41962,x41963,f331(f73(x41962,f885(a103,f885(a103,f885(f884(a103,a103),f885(a103,f878(x41962))))),x41961,f217(x41962)),x41964)),f219(x41961,x41962,x41964,x41963)) % 159.04/158.75 [4213]E(f214(x42131,x42132,x42133,f331(f73(x42132,f885(a103,f885(a103,f885(f884(a103,a103),f885(a103,f878(f880(x42132)))))),x42131,f213(x42132)),x42134)),f215(x42131,x42132,x42134,x42133)) % 159.04/158.75 [4218]P104(f331(f67(x42181,x42182,x42183,x42184,f194(f885(x42181,a871))),x42184)) % 159.04/158.75 [4261]E(f331(f331(f42(x42611,f885(x42612,a871)),x42613),f331(f331(f7(x42611,f885(x42612,a871),f885(x42612,a871)),f331(f331(f8(x42612,f885(f885(x42612,a871),f885(x42612,a871)),x42611),f308(x42612)),x42614)),f194(f885(x42612,a871)))),f331(f309(x42611,x42612,x42614),x42613)) % 159.04/158.75 [4268]P104(f331(f331(f244(f885(x42681,a871)),f331(f261(x42682,x42681),f331(f331(f105(f885(f884(x42682,x42681),a871)),x42683),x42684))),f331(f331(f105(f885(x42681,a871)),f331(f261(x42682,x42681),x42683)),f331(f261(x42682,x42681),x42684)))) % 159.04/158.75 [4269]P104(f331(f331(f244(f885(x42691,a871)),f331(f263(x42691,x42692),f331(f331(f105(f885(f884(x42691,x42692),a871)),x42693),x42694))),f331(f331(f105(f885(x42691,a871)),f331(f263(x42691,x42692),x42693)),f331(f263(x42691,x42692),x42694)))) % 159.04/158.75 [4331]P104(f331(f331(f244(f885(f884(x43311,x43312),a871)),f331(f309(x43312,f884(x43311,x43312),f335(x43313,x43314,x43311,x43312)),f331(f331(f42(x43311,f885(x43312,a871)),x43314),x43313))),f331(f331(f267(x43311,x43312),x43314),x43313))) % 159.04/158.75 [4332]E(f331(f122(x43321,f884(x43321,x43322),x43323),f331(f331(f8(f885(x43322,f878(f884(x43321,x43322))),f878(f884(x43321,x43322)),x43321),f122(x43322,f884(x43321,x43322),x43324)),f331(f331(f8(f885(x43322,f884(x43321,x43322)),f885(x43322,f878(f884(x43321,x43322))),x43321),f331(f8(f884(x43321,x43322),f878(f884(x43321,x43322)),x43322),f127(f884(x43321,x43322)))),f265(x43321,x43322)))),f132(x43321,x43322,x43323,x43324)) % 159.04/158.75 [4372]E(f85(f884(x43721,x43722),f331(f269(x43721,x43722,a871),f331(f331(f7(x43721,f885(x43722,a871),f885(x43722,a871)),f331(f331(f8(f885(a871,a871),f885(f885(x43722,a871),f885(x43722,a871)),x43721),f8(a871,a871,x43722)),f331(f331(f8(a871,f885(a871,a871),x43721),a329),f331(a328,x43723)))),f331(a328,x43724)))),f331(f331(f265(x43721,x43722),x43723),x43724)) % 159.04/158.75 [4373]E(f90(f884(x43731,x43732),f331(f269(x43731,x43732,a871),f331(f331(f7(x43731,f885(x43732,a871),f885(x43732,a871)),f331(f331(f8(f885(a871,a871),f885(f885(x43732,a871),f885(x43732,a871)),x43731),f8(a871,a871,x43732)),f331(f331(f8(a871,f885(a871,a871),x43731),a329),f331(a328,x43733)))),f331(a328,x43734)))),f331(f331(f265(x43731,x43732),x43733),x43734)) % 159.04/158.75 [4444]E(f331(f331(f269(f877(x44441),f877(x44441),f884(f877(x44441),f877(x44441))),f331(f331(f18(f877(x44441),f885(f877(x44441),f884(f877(x44441),f877(x44441))),f885(f877(x44441),f884(f877(x44441),f877(x44441)))),f331(f331(f8(f885(f877(x44441),f885(f884(f877(x44441),f877(x44441)),f884(f877(x44441),f877(x44441)))),f885(f885(f877(x44441),f884(f877(x44441),f877(x44441))),f885(f877(x44441),f884(f877(x44441),f877(x44441)))),f877(x44441)),f18(f877(x44441),f884(f877(x44441),f877(x44441)),f884(f877(x44441),f877(x44441)))),f331(f331(f8(f885(f877(x44441),f884(f877(x44441),f877(x44441))),f885(f877(x44441),f885(f884(f877(x44441),f877(x44441)),f884(f877(x44441),f877(x44441)))),f877(x44441)),f331(f8(f884(f877(x44441),f877(x44441)),f885(f884(f877(x44441),f877(x44441)),f884(f877(x44441),f877(x44441))),f877(x44441)),f331(f100(f884(f877(x44441),f877(x44441))),f331(x44442,x44443)))),f331(f331(f8(f877(x44441),f885(f877(x44441),f884(f877(x44441),f877(x44441))),f877(x44441)),f265(f877(x44441),f877(x44441))),f331(f150(x44441),x44443))))),f331(f331(f7(f877(x44441),f885(f877(x44441),f877(x44441)),f885(f877(x44441),f884(f877(x44441),f877(x44441)))),f331(f331(f8(f885(f877(x44441),f884(f877(x44441),f877(x44441))),f885(f885(f877(x44441),f877(x44441)),f885(f877(x44441),f884(f877(x44441),f877(x44441)))),f877(x44441)),f8(f877(x44441),f884(f877(x44441),f877(x44441)),f877(x44441))),f265(f877(x44441),f877(x44441)))),f331(f150(x44441),x44443)))),f166(x44441,x44442,x44444)),f166(x44441,x44442,f331(f331(f150(x44441),x44443),x44444))) % 159.04/158.75 [4450]E(f331(f141(f885(x44501,f880(x44502)),f884(x44501,x44502),f331(f7(f884(x44501,x44502),f885(x44501,f880(x44502)),f885(x44501,f880(x44502))),f331(f269(x44501,x44502,f885(f885(x44501,f880(x44502)),f885(x44501,f880(x44502)))),f331(f331(f7(x44501,f885(x44502,f880(x44502)),f885(x44502,f885(f885(x44501,f880(x44502)),f885(x44501,f880(x44502))))),f331(f331(f8(f885(f880(x44502),f885(f885(x44501,f880(x44502)),f885(x44501,f880(x44502)))),f885(f885(x44502,f880(x44502)),f885(x44502,f885(f885(x44501,f880(x44502)),f885(x44501,f880(x44502))))),x44501),f8(f880(x44502),f885(f885(x44501,f880(x44502)),f885(x44501,f880(x44502))),x44502)),f331(f331(f8(f885(f885(x44501,f880(x44502)),f885(f880(x44502),f885(x44501,f880(x44502)))),f885(f880(x44502),f885(f885(x44501,f880(x44502)),f885(x44501,f880(x44502)))),x44501),f7(f885(x44501,f880(x44502)),f880(x44502),f885(x44501,f880(x44502)))),f331(f7(f885(x44501,f880(x44502)),x44501,f885(f880(x44502),f885(x44501,f880(x44502)))),f72(x44501,f880(x44502)))))),f236(x44502)))),x44503),f331(f168(f884(x44501,x44502)),x44504)),f185(x44501,x44502,x44503,f331(f178(x44501,x44502),x44504))) % 159.04/158.75 [3549]E(f331(f195(f875(x35491)),f331(f331(f331(f92(x35491),x35492),x35493),x35494)),f2(a876)) % 159.04/158.75 [3668]E(f331(f331(f175(x36681),x36682),f331(f331(f175(x36681),x36683),x36684)),f331(f331(f175(x36681),f331(f331(f242(a876),x36682),x36683)),x36684)) % 159.04/158.75 [3669]E(f331(f331(f137(x36691),x36692),f331(f331(f137(x36691),x36693),x36694)),f331(f331(f137(x36691),f331(f331(f80(a876),x36692),x36693)),x36694)) % 159.04/158.75 [3681]E(f331(f331(f126(x36811),f331(f331(f150(x36811),x36812),x36813)),x36814),f331(f331(f150(x36811),x36812),f331(f331(f126(x36811),x36813),x36814))) % 159.04/158.75 [3682]E(f331(f331(f126(x36821),f331(f331(f126(x36821),x36822),x36823)),x36824),f331(f331(f126(x36821),x36822),f331(f331(f126(x36821),x36823),x36824))) % 159.04/158.75 [3762]E(f331(f331(f164(x37621),f331(f331(f150(x37621),x37622),x37623)),x37624),f191(x37621,x37622,f331(f164(x37621),x37623),x37624)) % 159.04/158.75 [3771]E(f331(f331(f189(x37711,x37711),x37712),f331(f331(f189(x37711,x37711),x37713),x37714)),f331(f331(f189(x37711,x37711),f331(f331(f81(a876),x37713),x37712)),x37714)) % 159.04/158.75 [3800]E(f331(f331(f114(f885(x38001,a871)),x38002),f331(f331(f308(x38001),x38003),x38004)),f331(f331(f308(x38001),x38003),f331(f331(f114(f885(x38001,a871)),x38002),x38004))) % 159.04/158.75 [3815]E(f331(f331(f331(f189(x38151,x38151),x38152),x38153),f331(x38153,x38154)),f331(x38153,f331(f331(f331(f189(x38151,x38151),x38152),x38153),x38154))) % 159.04/158.75 [3823]E(f331(f331(f287(x38231,x38232,x38233),f194(f885(f884(x38231,x38232),a871))),x38234),f194(f885(f884(x38231,x38233),a871))) % 159.04/158.75 [3839]E(f331(f331(f114(f885(x38391,a871)),f331(f331(f308(x38391),x38392),x38393)),x38394),f331(f331(f308(x38391),x38392),f331(f331(f114(f885(x38391,a871)),x38393),x38394))) % 159.04/158.75 [3858]E(f185(x38581,x38582,f331(f178(x38581,x38582),x38583),f331(f178(x38581,x38582),x38584)),f331(f178(x38581,x38582),f331(f331(f126(f884(x38581,x38582)),x38584),x38583))) % 159.04/158.75 [3859]E(f331(f38(f884(x38591,x38592)),f331(f331(f267(x38591,x38592),x38593),f331(f16(f885(x38592,a871),x38591),x38594))),f331(f331(f81(a876),f331(f38(x38591),x38593)),f331(f38(x38592),x38594))) % 159.04/158.75 [3865]E(f331(f331(f105(f885(x38651,a871)),f331(f331(f308(x38651),x38652),x38653)),f331(f331(f308(x38651),x38652),x38654)),f331(f331(f308(x38651),x38652),f331(f331(f105(f885(x38651,a871)),x38653),x38654))) % 159.04/158.75 [3880]E(f331(f331(f114(f885(x38801,a871)),x38802),f331(f331(f114(f885(x38801,a871)),x38803),x38804)),f331(f331(f114(f885(x38801,a871)),x38803),f331(f331(f114(f885(x38801,a871)),x38802),x38804))) % 159.04/158.75 [3881]E(f331(f331(f105(f885(x38811,a871)),x38812),f331(f331(f105(f885(x38811,a871)),x38813),x38814)),f331(f331(f105(f885(x38811,a871)),x38813),f331(f331(f105(f885(x38811,a871)),x38812),x38814))) % 159.04/158.75 [3890]E(f65(x38901,x38902,f331(f331(f8(x38902,f885(x38902,x38902),x38901),x38903),x38904)),f331(f66(x38902,x38901,x38903),x38904)) % 159.04/158.75 [3900]E(f180(x39001,f331(f331(f153(f877(x39002),f877(x39001)),f331(f153(x39002,x39001),x39003)),x39004)),f331(f331(f153(f877(x39002),f877(x39001)),f331(f153(x39002,x39001),x39003)),f180(x39002,x39004))) % 159.04/158.75 [3918]E(f331(f141(f877(x39181),f877(x39181),f126(x39181),f117(x39181)),f331(f331(f153(x39182,f877(x39181)),x39183),x39184)),f163(x39182,x39181,x39183,x39184)) % 159.04/158.75 [3921]E(f188(x39211,x39212,x39213,f331(f79(f885(x39211,a871)),f331(f331(f308(x39211),x39214),f194(f885(x39211,a871))))),f331(f331(f331(f72(x39211,f880(x39212)),x39213),x39214),f197(x39212))) % 159.04/158.75 [3963]E(f331(f331(f331(f72(x39631,f880(x39632)),f331(f178(x39631,x39632),x39633)),f331(f264(x39631,x39632),x39634)),f331(f236(x39632),f331(f268(x39631,x39632),x39634))),f331(f178(x39631,x39632),f331(f331(f150(f884(x39631,x39632)),x39634),x39633))) % 159.04/158.75 [3980]E(f331(f73(x39801,x39801,x39801,f331(f331(f189(x39801,x39801),x39802),x39803)),f331(f331(f189(x39801,x39801),x39804),x39803)),f331(f331(f189(x39801,x39801),f331(f331(f80(a876),x39802),x39804)),x39803)) % 159.04/158.75 [4005]E(f331(f331(f105(f885(x40051,a871)),f331(f331(f22(f885(x40051,a871)),x40052),x40053)),f331(f331(f22(f885(x40051,a871)),x40052),x40054)),f331(f331(f22(f885(x40051,a871)),x40052),f331(f331(f114(f885(x40051,a871)),x40053),x40054))) % 159.04/158.75 [4006]E(f331(f331(f114(f885(x40061,a871)),f331(f331(f22(f885(x40061,a871)),x40062),x40063)),f331(f331(f22(f885(x40061,a871)),x40062),x40064)),f331(f331(f22(f885(x40061,a871)),x40062),f331(f331(f105(f885(x40061,a871)),x40063),x40064))) % 159.04/158.75 [4007]E(f331(f331(f105(f885(x40071,a871)),f331(f331(f114(f885(x40071,a871)),x40072),x40073)),f331(f331(f114(f885(x40071,a871)),x40072),x40074)),f331(f331(f114(f885(x40071,a871)),x40072),f331(f331(f105(f885(x40071,a871)),x40073),x40074))) % 159.04/158.75 [4008]E(f331(f331(f22(f885(x40081,a871)),f331(f331(f105(f885(x40081,a871)),x40082),x40083)),f331(f331(f105(f885(x40081,a871)),x40082),x40084)),f331(f331(f105(f885(x40081,a871)),x40082),f331(f331(f22(f885(x40081,a871)),x40083),x40084))) % 159.04/158.75 [4009]E(f331(f331(f114(f885(x40091,a871)),f331(f331(f105(f885(x40091,a871)),x40092),x40093)),f331(f331(f105(f885(x40091,a871)),x40092),x40094)),f331(f331(f105(f885(x40091,a871)),x40092),f331(f331(f114(f885(x40091,a871)),x40093),x40094))) % 159.04/158.75 [4015]E(f331(f38(f884(x40151,x40152)),f331(f331(f267(x40151,x40152),f331(f331(f308(x40151),x40153),f194(f885(x40151,a871)))),f331(f16(f885(x40152,a871),x40151),x40154))),f331(f38(x40152),x40154)) % 159.04/158.75 [4051]E(f331(f331(f43(x40511,f885(x40512,a871)),x40513),f331(f331(f8(f885(x40512,a871),f885(x40512,a871),x40511),f79(f885(x40512,a871))),x40514)),f331(f79(f885(x40512,a871)),f331(f331(f42(x40511,f885(x40512,a871)),x40513),x40514))) % 159.04/158.75 [4052]E(f331(f331(f42(x40521,f885(x40522,a871)),x40523),f331(f331(f8(f885(x40522,a871),f885(x40522,a871),x40521),f79(f885(x40522,a871))),x40524)),f331(f79(f885(x40522,a871)),f331(f331(f43(x40521,f885(x40522,a871)),x40523),x40524))) % 159.04/158.75 [4066]E(f331(f331(f287(x40661,x40661,x40661),f331(f331(f189(f884(x40661,x40661),a871),x40662),x40663)),f331(f331(f189(f884(x40661,x40661),a871),x40664),x40663)),f331(f331(f189(f884(x40661,x40661),a871),f331(f331(f80(a876),x40662),x40664)),x40663)) % 159.04/158.75 [4097]E(f331(f331(f43(x40971,f885(f885(x40972,a871),a871)),x40973),f331(f331(f8(f885(x40972,a871),f885(f885(x40972,a871),a871),x40971),f307(x40972)),x40974)),f331(f307(x40972),f331(f331(f43(x40971,f885(x40972,a871)),x40973),x40974))) % 159.04/158.75 [4126]E(f331(f331(f42(f885(x41261,a871),f885(x41262,a871)),x41263),f331(f331(f7(f885(x41261,a871),f885(x41261,f885(x41262,a871)),f885(x41262,a871)),f42(x41261,f885(x41262,a871))),x41264)),f331(f331(f42(x41261,f885(x41262,a871)),f40(f885(x41261,a871),x41263)),x41264)) % 159.04/158.75 [4127]E(f331(f331(f43(f885(x41271,a871),f885(x41272,a871)),x41273),f331(f331(f7(f885(x41271,a871),f885(x41271,f885(x41272,a871)),f885(x41272,a871)),f43(x41271,f885(x41272,a871))),x41274)),f331(f331(f43(x41271,f885(x41272,a871)),f40(f885(x41271,a871),x41273)),x41274)) % 159.04/158.75 [4132]E(f331(f331(f153(x41321,x41322),x41323),f331(f141(f877(x41321),f877(x41321),f126(x41321),f117(x41321)),x41324)),f331(f141(f877(x41322),f877(x41322),f126(x41322),f117(x41322)),f331(f331(f153(f877(x41321),f877(x41322)),f331(f153(x41321,x41322),x41323)),x41324))) % 159.04/158.75 [4136]E(f191(f877(x41361),f117(x41361),f331(f331(f8(f877(x41361),f877(x41361),a876),f331(f150(x41361),x41362)),f331(f331(f7(a876,f877(x41361),f877(x41361)),f175(x41361)),x41363)),x41364),f331(f331(f175(x41361),x41364),f331(f331(f150(x41361),x41362),x41363))) % 159.04/158.75 [4179]P104(f331(f331(f244(f885(x41791,a871)),f331(f309(x41792,x41791,x41793),f331(f310(x41792,x41791,x41793),x41794))),x41794)) % 159.04/158.75 [4182]E(f331(f309(f884(x41821,x41822),f884(x41822,x41821),f331(f269(x41821,x41822,f884(x41822,x41821)),f331(f7(x41822,x41821,f884(x41822,x41821)),f265(x41822,x41821)))),f331(f331(f267(x41821,x41822),x41823),f331(f16(f885(x41822,a871),x41821),x41824))),f331(f331(f267(x41822,x41821),x41824),f331(f16(f885(x41821,a871),x41822),x41823))) % 159.04/158.75 [4191]E(f331(f331(f42(x41911,f885(x41912,a871)),x41913),f331(f331(f8(f885(x41911,a871),f885(x41912,a871),x41911),f310(x41912,x41911,x41914)),f331(f331(f7(x41911,f885(x41911,a871),f885(x41911,a871)),f308(x41911)),f194(f885(x41911,a871))))),f331(f310(x41912,x41911,x41914),x41913)) % 159.04/158.75 [4192]E(f331(f331(f42(x41921,f885(x41922,a871)),x41923),f331(f331(f8(f885(x41921,a871),f885(x41922,a871),x41921),f284(x41921,x41922,x41924)),f331(f331(f7(x41921,f885(x41921,a871),f885(x41921,a871)),f308(x41921)),f194(f885(x41921,a871))))),f331(f284(x41921,x41922,x41924),x41923)) % 159.04/158.75 [4283]E(f331(f331(f114(f885(x42831,a871)),f331(f331(f114(f885(x42831,a871)),f331(f331(f105(f885(x42831,a871)),x42832),x42833)),f331(f331(f105(f885(x42831,a871)),x42833),x42834))),f331(f331(f105(f885(x42831,a871)),x42834),x42832)),f331(f331(f105(f885(x42831,a871)),f331(f331(f105(f885(x42831,a871)),f331(f331(f114(f885(x42831,a871)),x42832),x42833)),f331(f331(f114(f885(x42831,a871)),x42833),x42834))),f331(f331(f114(f885(x42831,a871)),x42834),x42832))) % 159.04/158.75 [4345]E(f331(f141(f877(x43451),f877(x43451),f126(x43451),f117(x43451)),f331(f331(f153(x43452,f877(x43451)),f331(f331(f7(x43452,f877(x43451),f877(x43451)),f331(f331(f8(x43451,f885(f877(x43451),f877(x43451)),x43452),f150(x43451)),x43453)),f117(x43451))),x43454)),f331(f331(f153(x43452,x43451),x43453),x43454)) % 159.04/158.75 [4356]E(f331(f331(f86(a1,x43561),f331(f107(a1),f331(f331(f80(a1),x43562),a101))),f331(f331(f18(a1,x43561,x43561),f331(f331(f7(a1,x43561,f885(x43561,x43561)),f331(f331(f8(a871,f885(x43561,f885(x43561,x43561)),a1),f100(x43561)),a200)),x43563)),f331(f331(f8(a876,x43561,a1),x43564),a108))),f191(x43561,x43563,x43564,f331(f107(a876),x43562))) % 159.04/158.75 [4559]~P104(f331(f331(f194(f885(x45591,f885(x45592,a871))),x45593),x45594)) % 159.04/158.75 [3826]E(f331(f331(f164(x38261),f331(f331(f126(x38261),x38262),x38263)),f331(f331(f80(a876),f331(f195(f877(x38261)),x38262)),x38264)),f331(f331(f164(x38261),x38263),x38264)) % 159.04/158.75 [3832]E(f331(f331(f137(x38321),x38322),f331(f331(f175(x38321),f331(f331(f80(a876),x38323),x38322)),x38324)),f331(f331(f175(x38321),x38323),f331(f331(f137(x38321),x38322),x38324))) % 159.04/158.75 [3934]E(f331(f331(f114(f885(x39341,a871)),f331(f261(x39342,x39341),x39343)),f331(f261(x39342,x39341),x39344)),f331(f261(x39342,x39341),f331(f331(f114(f885(f884(x39342,x39341),a871)),x39343),x39344))) % 159.04/158.75 [3935]E(f331(f331(f114(f885(x39351,a871)),f331(f263(x39351,x39352),x39353)),f331(f263(x39351,x39352),x39354)),f331(f263(x39351,x39352),f331(f331(f114(f885(f884(x39351,x39352),a871)),x39353),x39354))) % 159.04/158.75 [3940]E(f331(f331(f22(f885(x39401,a871)),f331(f331(f105(f885(x39401,a871)),x39402),x39403)),x39404),f331(f331(f105(f885(x39401,a871)),x39402),f331(f331(f22(f885(x39401,a871)),x39403),x39404))) % 159.04/158.75 [3941]E(f331(f331(f114(f885(x39411,a871)),f331(f331(f114(f885(x39411,a871)),x39412),x39413)),x39414),f331(f331(f114(f885(x39411,a871)),x39412),f331(f331(f114(f885(x39411,a871)),x39413),x39414))) % 159.04/158.75 [3942]E(f331(f331(f105(f885(x39421,a871)),f331(f331(f105(f885(x39421,a871)),x39422),x39423)),x39424),f331(f331(f105(f885(x39421,a871)),x39422),f331(f331(f105(f885(x39421,a871)),x39423),x39424))) % 159.04/158.75 [3982]E(f331(f331(f114(f885(f884(x39821,x39822),a871)),f331(f285(x39822,x39821),x39823)),f331(f285(x39822,x39821),x39824)),f331(f285(x39822,x39821),f331(f331(f114(f885(f884(x39822,x39821),a871)),x39823),x39824))) % 159.04/158.75 [3983]E(f331(f331(f105(f885(f884(x39831,x39832),a871)),f331(f285(x39832,x39831),x39833)),f331(f285(x39832,x39831),x39834)),f331(f285(x39832,x39831),f331(f331(f105(f885(f884(x39832,x39831),a871)),x39833),x39834))) % 159.04/158.75 [3997]E(f331(f331(f114(f885(x39971,f885(x39972,a871))),f254(x39972,x39971,x39973)),f254(x39972,x39971,x39974)),f254(x39972,x39971,f331(f331(f114(f885(x39972,f885(x39971,a871))),x39973),x39974))) % 159.04/158.75 [3998]E(f331(f331(f105(f885(x39981,f885(x39982,a871))),f254(x39982,x39981,x39983)),f254(x39982,x39981,x39984)),f254(x39982,x39981,f331(f331(f105(f885(x39982,f885(x39981,a871))),x39983),x39984))) % 159.04/158.75 [4055]E(f331(f331(f114(f885(x40551,a871)),f331(f331(f22(f885(x40551,a871)),x40552),x40553)),f331(f331(f22(f885(x40551,a871)),x40554),x40553)),f331(f331(f22(f885(x40551,a871)),f331(f331(f114(f885(x40551,a871)),x40552),x40554)),x40553)) % 159.04/158.75 [4056]E(f331(f331(f105(f885(x40561,a871)),f331(f331(f114(f885(x40561,a871)),x40562),x40563)),f331(f331(f114(f885(x40561,a871)),x40564),x40563)),f331(f331(f114(f885(x40561,a871)),f331(f331(f105(f885(x40561,a871)),x40562),x40564)),x40563)) % 159.04/158.75 [4057]E(f331(f331(f22(f885(x40571,a871)),f331(f331(f105(f885(x40571,a871)),x40572),x40573)),f331(f331(f105(f885(x40571,a871)),x40574),x40573)),f331(f331(f105(f885(x40571,a871)),f331(f331(f22(f885(x40571,a871)),x40572),x40574)),x40573)) % 159.04/158.75 [4058]E(f331(f331(f114(f885(x40581,a871)),f331(f331(f105(f885(x40581,a871)),x40582),x40583)),f331(f331(f105(f885(x40581,a871)),x40584),x40583)),f331(f331(f105(f885(x40581,a871)),f331(f331(f114(f885(x40581,a871)),x40582),x40584)),x40583)) % 159.04/158.75 [4059]E(f331(f331(f22(f885(x40591,a871)),f331(f331(f105(f885(x40591,a871)),x40592),x40593)),f331(f331(f105(f885(x40591,a871)),x40594),x40593)),f331(f331(f22(f885(x40591,a871)),f331(f331(f105(f885(x40591,a871)),x40592),x40593)),x40594)) % 159.04/158.75 [4069]E(f331(f331(f22(f885(x40691,a871)),f331(f331(f22(f885(x40691,a871)),x40692),f331(f331(f308(x40691),x40693),f194(f885(x40691,a871))))),x40694),f331(f331(f22(f885(x40691,a871)),x40692),f331(f331(f308(x40691),x40693),x40694))) % 159.04/158.75 [4123]E(f331(f331(f114(f885(x41231,a871)),f331(f331(f308(x41231),x41232),f331(f331(f308(x41231),x41233),f194(f885(x41231,a871))))),f331(f283(x41231),x41234)),f331(f283(x41231),f331(f331(f308(f884(x41231,x41231)),f331(f331(f265(x41231,x41231),x41232),x41233)),x41234))) % 159.04/158.75 [4153]E(f331(f331(f42(a876,f885(x41531,a871)),f331(f299(a876),x41532)),f331(f331(f8(a876,f885(x41531,a871),a876),x41533),f331(f331(f7(a876,a876,a876),f80(a876)),x41534))),f331(f331(f42(a876,f885(x41531,a871)),f301(a876,x41534,f331(f331(f80(a876),x41532),x41534))),x41533)) % 159.04/158.75 [4154]E(f174(x41541,f331(f284(x41541,x41541,x41542),f331(f331(f308(x41541),x41543),f194(f885(x41541,a871)))),f331(f284(f877(x41541),f877(x41541),f157(x41541,x41542)),f331(f331(f308(f877(x41541)),x41544),f194(f885(f877(x41541),a871))))),f331(f284(f877(x41541),f877(x41541),f157(x41541,x41542)),f331(f331(f308(f877(x41541)),f331(f331(f150(x41541),x41543),x41544)),f194(f885(f877(x41541),a871))))) % 159.04/158.75 [4216]E(f331(f178(x42161,x42162),f331(f331(f153(x42161,f884(x42161,x42162)),f331(f331(f18(x42161,x42162,f884(x42161,x42162)),f265(x42161,x42162)),x42163)),x42164)),f188(x42161,x42162,f331(f73(x42162,f880(x42162),x42161,f236(x42162)),x42163),f331(f172(x42161),x42164))) % 159.04/158.75 [4221]E(f331(f250(x42211),f331(f331(f7(x42211,f885(x42212,a871),a871),f331(f331(f8(x42212,f885(f885(x42212,a871),a871),x42211),f333(x42212)),x42213)),x42214)),f331(f310(x42211,x42212,x42213),x42214)) % 159.04/158.75 [4316]E(f331(f250(x43161),f331(f331(f7(x43161,f885(f884(x43162,x43161),a871),a871),f331(f331(f8(f884(x43162,x43161),f885(f885(f884(x43162,x43161),a871),a871),x43161),f333(f884(x43162,x43161))),f331(f265(x43162,x43161),x43163))),x43164)),f331(f284(x43162,x43161,x43164),f331(f331(f308(x43162),x43163),f194(f885(x43162,a871))))) % 159.04/158.75 [4330]E(f331(f331(f153(f884(x43301,a876),x43301),f264(x43301,a876)),f331(f135(f884(x43301,a876),f331(f331(f8(a876,a871,f884(x43301,a876)),x43302),f331(f331(f8(a876,a876,f884(x43301,a876)),a116),f268(x43301,a876)))),f331(f331(f182(x43301,a876),x43303),x43304))),f331(f331(f153(f884(x43301,a876),x43301),f264(x43301,a876)),f331(f135(f884(x43301,a876),f331(f331(f8(a876,a871,f884(x43301,a876)),x43302),f268(x43301,a876))),f331(f331(f182(x43301,a876),x43303),f331(f331(f153(a876,a876),a116),x43304))))) % 159.04/158.75 [4338]P104(f331(f331(f244(f885(f885(x43381,a871),a871)),f331(f331(f42(x43382,f885(f885(x43381,a871),a871)),x43383),f331(f331(f8(f885(x43381,a871),f885(f885(x43381,a871),a871),x43382),f307(x43381)),x43384))),f331(f307(x43381),f331(f331(f42(x43382,f885(x43381,a871)),x43383),x43384)))) % 159.04/158.75 [4380]E(f331(f331(f86(a1,x43801),f331(f107(a1),f331(f331(f80(a1),x43802),a101))),f331(f331(f18(a1,x43801,x43801),f331(f331(f7(a1,x43801,f885(x43801,x43801)),f331(f331(f8(a871,f885(x43801,f885(x43801,x43801)),a1),f100(x43801)),a200)),x43803)),f331(f331(f18(a1,x43801,x43801),f331(f331(f8(a876,f885(x43801,x43801),a1),x43804),a108)),f331(f331(f8(a876,x43801,a1),f190(x43801,x43803,x43804)),a108)))),f331(f190(x43801,x43803,x43804),f331(f107(a876),x43802))) % 159.04/158.75 [4383]E(f331(f331(f153(x43831,x43832),f331(f73(f880(x43832),x43832,x43831,f241(x43832)),x43833)),f331(f135(x43831,f331(f331(f8(a871,a871,x43831),a326),f331(f331(f7(x43831,f880(x43832),a871),f331(f331(f8(f880(x43832),f885(f880(x43832),a871),x43831),a328),x43833)),f197(x43832)))),x43834)),f162(x43831,x43832,x43833,x43834)) % 159.04/158.75 [4406]E(f331(f250(f884(x44061,x44062)),f331(f269(x44061,x44062,a871),f331(f331(f7(x44061,f885(x44062,a871),f885(x44062,a871)),f331(f331(f8(f885(a871,a871),f885(f885(x44062,a871),f885(x44062,a871)),x44061),f8(a871,a871,x44062)),f331(f331(f8(a871,f885(a871,a871),x44061),a329),f331(f331(f7(x44061,f885(x44061,a871),a871),f333(x44061)),x44063)))),f331(f331(f7(x44062,f885(x44062,a871),a871),f333(x44062)),x44064)))),f231(x44061,x44062,x44063,x44064)) % 159.04/158.75 [4439]E(f331(f331(f42(x44391,f885(f884(x44391,x44392),a871)),x44393),f331(f331(f18(x44391,f885(x44392,f885(f884(x44391,x44392),a871)),f885(f884(x44391,x44392),a871)),f331(f331(f8(f885(x44392,a871),f885(f885(x44392,f885(f884(x44391,x44392),a871)),f885(f884(x44391,x44392),a871)),x44391),f42(x44392,f885(f884(x44391,x44392),a871))),x44394)),f331(f331(f7(x44391,f885(f884(x44391,x44392),a871),f885(x44392,f885(f884(x44391,x44392),a871))),f331(f331(f8(f885(x44392,f885(f885(f884(x44391,x44392),a871),f885(f884(x44391,x44392),a871))),f885(f885(f884(x44391,x44392),a871),f885(x44392,f885(f884(x44391,x44392),a871))),x44391),f7(x44392,f885(f884(x44391,x44392),a871),f885(f884(x44391,x44392),a871))),f331(f331(f8(f885(x44392,f884(x44391,x44392)),f885(x44392,f885(f885(f884(x44391,x44392),a871),f885(f884(x44391,x44392),a871))),x44391),f331(f8(f884(x44391,x44392),f885(f885(f884(x44391,x44392),a871),f885(f884(x44391,x44392),a871)),x44392),f308(f884(x44391,x44392)))),f265(x44391,x44392)))),f194(f885(f884(x44391,x44392),a871))))),f331(f331(f267(x44391,x44392),x44393),x44394)) % 159.04/158.75 [3992]E(f331(f331(f126(x39921),f331(f331(f175(x39921),x39922),x39923)),f331(f331(f175(x39921),f331(f331(f22(a876),x39922),f331(f195(f877(x39921)),x39923))),x39924)),f331(f331(f175(x39921),x39922),f331(f331(f126(x39921),x39923),x39924))) % 159.04/158.75 [3993]E(f331(f331(f126(x39931),f331(f331(f137(x39931),x39932),x39933)),f331(f331(f137(x39931),f331(f331(f22(a876),x39932),f331(f195(f877(x39931)),x39933))),x39934)),f331(f331(f137(x39931),x39932),f331(f331(f126(x39931),x39933),x39934))) % 159.04/158.75 [4045]E(f331(f331(f80(a876),f331(f331(f81(a876),x40451),x40452)),f331(f331(f80(a876),f331(f331(f81(a876),x40453),x40452)),x40454)),f331(f331(f80(a876),f331(f331(f81(a876),f331(f331(f80(a876),x40451),x40453)),x40452)),x40454)) % 159.04/158.75 [4246]P104(f331(f331(f244(f885(x42461,a871)),f331(f331(f22(f885(x42461,a871)),f331(f261(x42462,x42461),x42463)),f331(f261(x42462,x42461),x42464))),f331(f261(x42462,x42461),f331(f331(f22(f885(f884(x42462,x42461),a871)),x42463),x42464)))) % 159.04/158.75 [4247]P104(f331(f331(f244(f885(x42471,a871)),f331(f331(f22(f885(x42471,a871)),f331(f263(x42471,x42472),x42473)),f331(f263(x42471,x42472),x42474))),f331(f263(x42471,x42472),f331(f331(f22(f885(f884(x42471,x42472),a871)),x42473),x42474)))) % 159.04/158.75 [4358]E(f331(f331(f80(a1),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x43581),x43582)),f194(f885(f884(a876,a876),a871)))))),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x43583),x43584)),f194(f885(f884(a876,a876),a871)))))),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),f331(f331(f80(a876),x43581),x43583)),f331(f331(f80(a876),x43582),x43584))),f194(f885(f884(a876,a876),a871)))))) % 159.04/158.75 [4401]E(f331(f331(f81(a1),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x44011),x44012)),f194(f885(f884(a876,a876),a871)))))),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x44013),x44014)),f194(f885(f884(a876,a876),a871)))))),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),f331(f331(f80(a876),f331(f331(f81(a876),x44011),x44013)),f331(f331(f81(a876),x44012),x44014))),f331(f331(f80(a876),f331(f331(f81(a876),x44011),x44014)),f331(f331(f81(a876),x44012),x44013)))),f194(f885(f884(a876,a876),a871)))))) % 159.04/158.75 [4421]E(f331(f250(x44211),f331(f331(f8(f885(x44212,a871),a871,x44211),f88(x44212)),f331(f331(f8(f885(x44212,a871),f885(x44212,a871),x44211),f331(f18(x44212,a871,a871),f331(f331(f8(a871,f885(a871,a871),x44212),a334),f331(f331(f7(x44212,f885(x44212,a871),a871),f333(x44212)),x44213)))),f331(f331(f7(x44211,f885(x44212,f885(x44211,a871)),f885(x44212,a871)),f331(f331(f8(f885(f885(x44211,a871),a871),f885(f885(x44212,f885(x44211,a871)),f885(x44212,a871)),x44211),f8(f885(x44211,a871),a871,x44212)),f333(x44211))),x44214)))),f331(f331(f43(x44212,f885(x44211,a871)),x44213),x44214)) % 159.04/158.75 [4454]E(f331(f331(f287(x44541,x44541,x44541),f331(f331(f308(f884(x44541,x44541)),f331(f331(f265(x44541,x44541),x44542),x44543)),x44544)),f306(x44541,f331(f331(f308(f884(x44541,x44541)),f331(f331(f265(x44541,x44541),x44542),x44543)),x44544))),f331(f331(f114(f885(f884(x44541,x44541),a871)),f331(f331(f287(x44541,x44541,x44541),x44544),f306(x44541,x44544))),f331(f250(f884(x44541,x44541)),f331(f269(x44541,x44541,a871),f331(f331(f7(x44541,f885(x44541,a871),f885(x44541,a871)),f331(f331(f8(f885(a871,a871),f885(f885(x44541,a871),f885(x44541,a871)),x44541),f8(a871,a871,x44541)),f331(f331(f8(a871,f885(a871,a871),x44541),a329),f331(f331(f7(x44541,f885(f884(x44541,x44541),a871),a871),f331(f331(f8(f884(x44541,x44541),f885(f885(f884(x44541,x44541),a871),a871),x44541),f333(f884(x44541,x44541))),f331(f331(f7(x44541,x44541,f884(x44541,x44541)),f265(x44541,x44541)),x44542))),f306(x44541,x44544))))),f331(f331(f7(x44541,f885(f884(x44541,x44541),a871),a871),f331(f331(f8(f884(x44541,x44541),f885(f885(f884(x44541,x44541),a871),a871),x44541),f333(f884(x44541,x44541))),f331(f265(x44541,x44541),x44543))),f306(x44541,x44544))))))) % 159.04/158.75 [4248]E(f331(f135(x42481,f331(f331(f18(x42481,a871,a871),f331(f331(f8(a871,f885(a871,a871),x42481),a329),x42482)),x42483)),x42484),f331(f135(x42481,x42483),f331(f135(x42481,x42482),x42484))) % 159.04/158.75 [4352]E(f331(f331(f126(x43521),f331(f331(f331(f100(f877(x43521)),f331(f331(f333(a876),f2(a876)),x43522)),f331(f331(f150(x43521),x43523),f117(x43521))),f117(x43521))),f176(x43521,x43524,f331(f250(a876),f331(f331(f7(a876,f885(a876,a871),a871),f331(f331(f8(a876,f885(f885(a876,a871),a871),a876),f333(a876)),a116)),x43522)))),f176(x43521,f331(f331(f150(x43521),x43523),x43524),x43522)) % 159.04/158.75 [4448]E(f331(f250(f884(x44481,x44482)),f331(f331(f8(f885(a876,a871),a871,f884(x44481,x44482)),f87(a876)),f331(f331(f7(f884(x44481,x44482),f885(a876,a871),f885(a876,a871)),f331(f331(f8(f885(a876,f885(a871,a871)),f885(f885(a876,a871),f885(a876,a871)),f884(x44481,x44482)),f18(a876,a871,a871)),f331(f331(f8(f885(a876,a871),f885(a876,f885(a871,a871)),f884(x44481,x44482)),f331(f8(a871,f885(a871,a871),a876),a329)),f331(f331(f7(f884(x44481,x44482),f885(a876,f884(x44481,x44482)),f885(a876,a871)),f331(f331(f8(f885(f884(x44481,x44482),a871),f885(f885(a876,f884(x44481,x44482)),f885(a876,a871)),f884(x44481,x44482)),f8(f884(x44481,x44482),a871,a876)),a328)),f331(f331(f18(a876,x44482,f884(x44481,x44482)),f331(f331(f8(x44481,f885(x44482,f884(x44481,x44482)),a876),f265(x44481,x44482)),f331(f164(x44481),x44483))),f331(f164(x44482),x44484)))))),f331(f331(f7(a876,a876,a871),f245(a876)),f331(f331(f242(a876),f331(f195(f877(x44481)),x44483)),f331(f195(f877(x44482)),x44484)))))),f331(f172(f884(x44481,x44482)),f331(f331(f182(x44481,x44482),x44483),x44484))) % 159.04/158.75 [4371]E(f331(f250(f884(x43711,x43712)),f331(f269(x43711,x43712,a871),f331(f331(f7(x43711,f885(x43712,a871),f885(x43712,a871)),f331(f331(f8(f885(a871,a871),f885(f885(x43712,a871),f885(x43712,a871)),x43711),f8(a871,a871,x43712)),f331(f331(f8(a871,f885(a871,a871),x43711),a329),x43713))),x43714))),f331(f331(f267(x43711,x43712),f331(f250(x43711),x43713)),f331(f16(f885(x43712,a871),x43711),f331(f250(x43712),x43714)))) % 159.04/158.75 [4374]E(f331(f250(f884(x43741,x43742)),f331(f269(x43741,x43742,a871),f331(f331(f18(x43741,f885(x43742,a871),f885(x43742,a871)),f331(f331(f8(f885(a871,a871),f885(f885(x43742,a871),f885(x43742,a871)),x43741),f8(a871,a871,x43742)),f331(f331(f8(a871,f885(a871,a871),x43741),a329),x43743))),x43744))),f331(f331(f267(x43741,x43742),f331(f250(x43741),x43743)),f331(f331(f8(f885(x43742,a871),f885(x43742,a871),x43741),f250(x43742)),x43744))) % 159.04/158.75 [4390]E(f331(f250(x43901),f331(f331(f8(f885(x43902,a871),a871,x43901),f88(x43902)),f331(f331(f8(f885(x43902,a871),f885(x43902,a871),x43901),f331(f18(x43902,a871,a871),f331(f331(f8(a871,f885(a871,a871),x43902),a334),f331(f331(f7(x43902,f885(x43902,a871),a871),f333(x43902)),x43903)))),x43904))),f331(f331(f43(x43902,f885(x43901,a871)),x43903),f331(f331(f8(f885(x43901,a871),f885(x43901,a871),x43902),f250(x43901)),f331(f7(x43901,x43902,a871),x43904)))) % 159.04/158.75 [4434]E(f331(f331(f153(f884(x44341,a876),x44341),f264(x44341,a876)),f331(f135(f884(x44341,a876),f331(f331(f7(f884(x44341,a876),f885(a876,a871),a871),f331(f331(f8(a876,f885(f885(a876,a871),a871),f884(x44341,a876)),f333(a876)),f268(x44341,a876))),x44342)),f331(f331(f182(x44341,a876),x44343),f138(a876,f331(f300(a876,x44344),f331(f331(f80(a876),x44344),f331(f195(f877(x44341)),x44343))))))),f331(f331(f153(f884(x44341,a876),x44341),f264(x44341,a876)),f331(f135(f884(x44341,a876),f331(f331(f7(f884(x44341,a876),f885(a876,a871),a871),f331(f331(f8(a876,f885(f885(a876,a871),a871),f884(x44341,a876)),f333(a876)),f331(f331(f7(f884(x44341,a876),a876,a876),f331(f331(f8(a876,f885(a876,a876),f884(x44341,a876)),f80(a876)),f268(x44341,a876))),x44344))),x44342)),f331(f331(f182(x44341,a876),x44343),f138(a876,f331(f300(a876,f2(a876)),f331(f195(f877(x44341)),x44343))))))) % 159.04/158.75 [4435]E(f331(a116,f331(f331(f243(a876),f331(f195(f877(x44351)),x44352)),f331(f141(a876,f877(x44353),f331(f7(f877(x44353),a876,a876),f331(f331(f8(a876,f885(a876,a876),f877(x44353)),f243(a876)),f331(f331(f7(f877(x44353),a876,a876),f331(f331(f8(a876,f885(a876,a876),f877(x44353)),f22(a876)),f195(f877(x44353)))),f331(a116,f2(a876))))),f2(a876)),f331(f168(f877(x44353)),f331(f135(f877(x44353),f331(f331(f8(a871,a871,f877(x44353)),a326),f331(f331(f7(f877(x44353),f877(x44353),a871),a328),f117(x44353)))),x44354))))),f331(f331(f243(a876),f331(a116,f331(f195(f877(x44351)),x44352))),f331(f141(a876,f877(x44353),f331(f7(f877(x44353),a876,a876),f331(f331(f8(a876,f885(a876,a876),f877(x44353)),f243(a876)),f195(f877(x44353)))),f2(a876)),f331(f168(f877(x44353)),x44354)))) % 159.04/158.75 [4389]E(f331(f331(f126(x43891),f176(x43891,x43892,x43893)),f176(x43891,x43894,f331(f250(a876),f331(f331(f7(a876,f885(a876,a871),a871),f331(f331(f8(a876,f885(f885(a876,a871),a871),a876),f333(a876)),f331(f331(f7(a876,a876,a876),f80(a876)),f331(f195(f877(x43891)),x43892)))),x43893)))),f176(x43891,f331(f331(f126(x43891),x43892),x43894),x43893)) % 159.04/158.75 [4441]E(f331(f331(f150(f877(x44411)),f331(f331(f150(x44411),x44412),f331(f141(f877(x44411),f877(x44411),f126(x44411),f117(x44411)),f331(f331(f153(f877(x44411),f877(x44411)),f155(f877(x44411),x44411,f117(x44411),f331(f331(f8(f877(x44411),f885(f877(x44411),f877(x44411)),x44411),f16(f877(x44411),f877(x44411))),f331(f331(f7(x44411,f877(x44411),f877(x44411)),f150(x44411)),f117(x44411))))),x44413)))),f180(x44411,f331(f331(f150(f877(x44411)),x44414),f331(f141(f877(f877(x44411)),f877(f877(x44411)),f126(f877(x44411)),f117(f877(x44411))),f331(f331(f153(f877(x44411),f877(f877(x44411))),f155(f877(f877(x44411)),x44411,f117(f877(x44411)),f331(f16(f885(f877(x44411),f877(f877(x44411))),x44411),f331(f331(f7(f877(x44411),f877(f877(x44411)),f877(f877(x44411))),f150(f877(x44411))),f117(f877(x44411)))))),x44413))))),f180(x44411,f331(f331(f150(f877(x44411)),f331(f331(f150(x44411),x44412),x44414)),x44413))) % 159.04/158.75 [4449]E(f331(f250(f884(x44491,x44491)),f331(f269(x44491,x44491,a871),f331(f331(f7(x44491,f885(f884(x44492,x44492),a871),f885(x44491,a871)),f331(f331(f8(f885(x44491,f885(f885(f884(x44492,x44492),a871),a871)),f885(f885(f884(x44492,x44492),a871),f885(x44491,a871)),x44491),f7(x44491,f885(f884(x44492,x44492),a871),a871)),f331(f331(f8(f885(x44491,f884(x44492,x44492)),f885(x44491,f885(f885(f884(x44492,x44492),a871),a871)),x44491),f331(f8(f884(x44492,x44492),f885(f885(f884(x44492,x44492),a871),a871),x44491),f333(f884(x44492,x44492)))),f331(f331(f7(x44491,f885(x44491,x44492),f885(x44491,f884(x44492,x44492))),f331(f331(f8(f885(x44492,f884(x44492,x44492)),f885(f885(x44491,x44492),f885(x44491,f884(x44492,x44492))),x44491),f8(x44492,f884(x44492,x44492),x44491)),f331(f331(f8(x44492,f885(x44492,f884(x44492,x44492)),x44491),f265(x44492,x44492)),x44493))),x44493)))),x44494))),f331(f331(f286(x44492,x44491),x44494),x44493)) % 159.04/158.75 [4508]~E(f33(x45081,x45082),f30(x45083,x45084,x45085)) % 159.04/158.75 [4509]~E(f33(x45091,x45092),f29(x45093,x45094,x45095)) % 159.04/158.75 [4510]~E(f32(x45101,x45102),f30(x45103,x45104,x45105)) % 159.04/158.75 [4511]~E(f32(x45111,x45112),f29(x45113,x45114,x45115)) % 159.04/158.75 [4512]~E(f30(x45121,x45122,x45123),f33(x45124,x45125)) % 159.04/158.75 [4513]~E(f30(x45131,x45132,x45133),f32(x45134,x45135)) % 159.04/158.75 [4514]~E(f29(x45141,x45142,x45143),f33(x45144,x45145)) % 159.04/158.75 [4515]~E(f29(x45151,x45152,x45153),f32(x45154,x45155)) % 159.04/158.75 [3932]E(f331(f185(x39321,x39322,x39323,x39324),x39325),f331(f239(f880(x39322),x39322,f331(x39323,x39325),f236(x39322)),f331(x39324,x39325))) % 159.04/158.75 [4020]E(f185(x40201,x40202,f185(x40201,x40202,x40203,x40204),x40205),f185(x40201,x40202,x40203,f185(x40201,x40202,x40204,x40205))) % 159.04/158.75 [4195]E(f266(x41951,x41952,x41953,f254(x41952,x41951,x41954),f254(x41953,x41952,x41955)),f254(x41953,x41951,f266(x41953,x41952,x41951,x41955,x41954))) % 159.04/158.75 [4202]E(f331(f331(f114(f885(x42021,a871)),f331(f172(x42021),f331(f331(f175(x42021),f331(f195(f877(x42022)),x42023)),x42024))),f184(x42021,x42022,x42025)),f184(x42021,x42022,f187(x42021,x42022,x42025,x42024,x42023))) % 159.04/158.75 [3757]E(f331(f331(f269(x37571,x37572,x37573),x37574),x37575),f331(f331(x37574,f331(f264(x37571,x37572),x37575)),f331(f268(x37571,x37572),x37575))) % 159.04/158.75 [3783]E(f331(f239(x37831,x37832,x37833,x37834),f331(f236(x37832),x37835)),f331(x37834,x37835)) % 159.04/158.75 [3792]E(f331(f331(f331(f66(x37921,x37922,x37923),x37924),x37925),f194(f885(x37922,a871))),x37925) % 159.04/158.75 [3964]E(f240(x39641,x39642,x39643,x39644,f331(f236(x39642),x39645)),f331(x39644,x39645)) % 159.04/158.75 [4075]E(f331(f73(f880(x40751),f880(x40752),f880(x40753),f331(f208(x40751,x40752),x40754)),f331(f208(x40753,x40751),x40755)),f331(f208(x40753,x40752),f331(f73(x40751,x40752,x40753,x40754),x40755))) % 159.04/158.75 [4077]E(f331(f73(f877(x40771),f877(x40772),f877(x40773),f331(f153(x40771,x40772),x40774)),f331(f153(x40773,x40771),x40775)),f331(f153(x40773,x40772),f331(f73(x40771,x40772,x40773,x40774),x40775))) % 159.04/158.75 [4133]E(f331(f239(x41331,f884(x41332,f878(x41332)),x41333,f331(f269(x41332,f878(x41332),x41331),x41334)),f331(f133(x41332),x41335)),f131(x41331,x41332,x41333,x41334,x41335)) % 159.04/158.75 [4157]E(f85(x41571,f67(x41572,x41571,x41573,x41574,x41575)),f331(f331(f65(x41572,x41571,x41573),x41574),x41575)) % 159.04/158.75 [4193]E(f331(f331(f80(a876),f331(f331(f80(a876),f331(x41931,f331(f264(x41932,x41933),x41934))),f331(x41935,f331(f268(x41932,x41933),x41934)))),f331(a116,f2(a876))),f273(x41932,x41933,x41931,x41935,x41934)) % 159.04/158.75 [4385]E(f162(x43851,x43852,f331(f331(f7(x43851,f880(x43852),f880(x43852)),f331(f331(f18(x43851,f880(x43852),f885(f880(x43852),f880(x43852))),f331(f331(f8(a871,f885(f880(x43852),f885(f880(x43852),f880(x43852))),x43851),f100(f880(x43852))),x43853)),f331(f331(f8(x43852,f880(x43852),x43851),f236(x43852)),x43854))),f197(x43852)),x43855),f331(f331(f153(x43851,x43852),x43854),f331(f135(x43851,x43853),x43855))) % 159.04/158.75 [4551]~E(f331(f331(f331(f72(x45511,f880(x45512)),x45513),x45514),f331(f236(x45512),x45515)),f331(f16(f880(x45512),x45511),f197(x45512))) % 159.04/158.75 [3693]E(f331(f331(f175(x36931),x36932),f331(f331(f153(x36933,x36931),x36934),x36935)),f331(f331(f153(x36933,x36931),x36934),f331(f331(f175(x36933),x36932),x36935))) % 159.04/158.75 [3694]E(f331(f331(f137(x36941),x36942),f331(f331(f153(x36943,x36941),x36944),x36945)),f331(f331(f153(x36943,x36941),x36944),f331(f331(f137(x36943),x36942),x36945))) % 159.04/158.75 [3726]E(f331(f331(f153(x37261,x37262),x37263),f331(f331(f150(x37261),x37264),x37265)),f331(f331(f150(x37262),f331(x37263,x37264)),f331(f331(f153(x37261,x37262),x37263),x37265))) % 159.04/158.75 [3787]E(f331(f309(x37871,x37872,x37873),f331(f331(f308(x37871),x37874),x37875)),f331(f331(f308(x37872),f331(x37873,x37874)),f331(f309(x37871,x37872,x37873),x37875))) % 159.04/158.75 [3816]E(f173(x38161,f331(f331(f150(x38161),x38162),x38163),f331(f331(f150(x38161),x38164),x38165)),f331(f331(f150(x38161),x38162),f331(f331(f150(x38161),x38164),f173(x38161,x38163,x38165)))) % 159.04/158.75 [3853]E(f331(f331(f182(x38531,x38532),f331(f331(f175(x38531),x38533),x38534)),f331(f331(f175(x38532),x38533),x38535)),f331(f331(f175(f884(x38531,x38532)),x38533),f331(f331(f182(x38531,x38532),x38534),x38535))) % 159.04/158.75 [3854]E(f331(f331(f182(x38541,x38542),f331(f331(f137(x38541),x38543),x38544)),f331(f331(f137(x38542),x38543),x38545)),f331(f331(f137(f884(x38541,x38542)),x38543),f331(f331(f182(x38541,x38542),x38544),x38545))) % 159.04/158.75 [3864]E(f331(f331(f158(x38641,f331(f331(f150(x38641),x38642),x38643)),f331(a116,x38644)),x38645),f331(f331(f150(x38641),x38642),f331(f331(f158(x38641,x38643),x38644),x38645))) % 159.04/158.75 [3867]E(f331(f239(f880(x38671),x38672,f197(x38671),x38673),f331(f331(f16(f880(x38672),x38674),f197(x38672)),x38675)),f197(x38671)) % 159.04/158.75 [3869]E(f331(f331(f126(x38691),f331(f331(f153(x38692,x38691),x38693),x38694)),f331(f331(f153(x38692,x38691),x38693),x38695)),f331(f331(f153(x38692,x38691),x38693),f331(f331(f126(x38692),x38694),x38695))) % 159.04/158.75 [3873]E(f331(f331(x38731,x38732),f331(f331(f256(x38733,x38734,x38731),x38732),x38735)),f331(f331(f256(x38733,x38734,x38731),x38732),f331(a116,x38735))) % 159.04/158.75 [3903]E(f163(x39031,x39032,x39033,f331(f331(f150(x39031),x39034),x39035)),f331(f331(f126(x39032),f331(x39033,x39034)),f163(x39031,x39032,x39033,x39035))) % 159.04/158.75 [3916]E(f331(f331(f287(x39161,x39162,x39163),f331(f285(x39162,x39161),x39164)),f331(f285(x39163,x39162),x39165)),f331(f285(x39163,x39161),f331(f331(f287(x39163,x39162,x39161),x39165),x39164))) % 159.04/158.75 [3950]E(f331(f331(f331(f189(f877(x39501),f877(x39501)),x39502),f167(x39501)),f331(f331(f153(x39503,x39501),x39504),x39505)),f331(f331(f153(x39503,x39501),x39504),f331(f331(f331(f189(f877(x39503),f877(x39503)),x39502),f167(x39503)),x39505))) % 159.04/158.75 [3951]E(f331(f331(f271(x39511,x39512,x39511,x39513),f331(f265(x39512,x39511),x39514)),x39515),f331(x39515,x39514)) % 159.04/158.75 [3978]E(f154(x39781,x39782,f331(f331(f153(x39783,x39781),x39784),x39785)),f154(x39783,f331(f73(x39781,a876,x39783,x39782),x39784),x39785)) % 159.04/158.75 [4043]E(f331(f331(f73(f880(x40431),f880(x40432),x40433,f331(f208(x40431,x40432),x40434)),f331(f16(f880(x40431),x40433),f197(x40431))),x40435),f197(x40432)) % 159.04/158.75 [4044]E(f177(f884(x40441,x40442),f331(f73(x40442,a871,f884(x40441,x40442),x40443),f268(x40441,x40442)),f331(f331(f182(x40441,x40442),x40444),x40445)),f331(f331(f182(x40441,x40442),x40444),f177(x40442,x40443,x40445))) % 159.04/158.75 [4049]E(f331(f309(x40491,x40492,f331(f331(f8(x40493,x40492,x40491),x40494),x40495)),f253(f885(x40491,a871))),f331(f309(x40493,x40492,x40494),f331(f309(x40491,x40493,x40495),f253(f885(x40491,a871))))) % 159.04/158.75 [4062]E(f177(f884(x40621,x40622),f331(f73(x40621,a871,f884(x40621,x40622),x40623),f264(x40621,x40622)),f331(f331(f182(x40621,x40622),x40624),x40625)),f331(f331(f182(x40621,x40622),f177(x40621,x40623,x40624)),x40625)) % 159.04/158.75 [4081]E(f331(f331(f114(f885(x40811,a871)),f331(f310(x40811,x40812,x40813),f331(f331(f308(x40812),x40814),f194(f885(x40812,a871))))),f331(f310(x40811,x40812,x40813),x40815)),f331(f310(x40811,x40812,x40813),f331(f331(f308(x40812),x40814),x40815))) % 159.04/158.75 [4141]E(f331(f331(f126(f884(x41411,x41412)),f331(f331(f153(x41412,f884(x41411,x41412)),f331(f265(x41411,x41412),x41413)),x41414)),f60(x41411,x41412,x41415,x41414)),f60(x41411,x41412,f331(f331(f150(x41411),x41413),x41415),x41414)) % 159.04/158.75 [4142]E(f331(f331(f153(x41421,x41422),x41423),f177(x41421,f331(f73(x41422,a871,x41421,x41424),x41423),x41425)),f177(x41422,x41424,f331(f331(f153(x41421,x41422),x41423),x41425))) % 159.04/158.75 [4148]E(f331(f141(x41481,x41482,f331(f7(x41482,x41481,x41481),f331(f7(x41481,x41482,x41481),x41483)),x41484),f331(f168(x41482),f331(f168(x41482),x41485))),f331(f141(x41481,x41482,x41483,x41484),x41485)) % 159.04/158.75 [4149]E(f331(f331(f331(f72(x41491,f880(x41492)),f188(x41491,x41492,x41493,x41494)),x41495),f331(x41493,x41495)),f188(x41491,x41492,x41493,f331(f331(f308(x41491),x41495),x41494))) % 159.04/158.75 [4159]E(f331(f318(x41591,x41592,x41593,f331(f16(x41592,x41591),x41594),f331(f16(x41592,x41593),x41594)),x41595),x41594) % 159.04/158.75 [4219]E(f331(f239(f877(x42191),x42191,f162(x42192,x42191,x42193,x42194),f331(f331(f7(x42191,f877(x42191),f877(x42191)),f150(x42191)),f162(x42192,x42191,x42193,x42194))),f331(x42193,x42195)),f162(x42192,x42191,x42193,f331(f331(f150(x42192),x42195),x42194))) % 159.04/158.75 [4256]P104(f331(f331(f244(f885(x42561,a871)),f331(f309(x42562,x42561,x42563),f331(f331(f105(f885(x42562,a871)),x42564),x42565))),f331(f331(f105(f885(x42561,a871)),f331(f309(x42562,x42561,x42563),x42564)),f331(f309(x42562,x42561,x42563),x42565)))) % 159.04/158.75 [4257]P104(f331(f331(f244(f885(x42571,a871)),f331(f284(x42572,x42571,x42573),f331(f331(f105(f885(x42572,a871)),x42574),x42575))),f331(f331(f105(f885(x42571,a871)),f331(f284(x42572,x42571,x42573),x42574)),f331(f284(x42572,x42571,x42573),x42575)))) % 159.04/158.75 [4359]E(f331(f268(x43591,x43592),f331(f270(x43593,x43591,x43592,x43592,x43594,f34(x43592)),x43595)),f331(f268(x43593,x43592),x43595)) % 159.04/158.75 [4360]E(f331(f264(x43601,x43602),f331(f270(x43601,x43601,x43603,x43602,f34(x43601),x43604),x43605)),f331(f264(x43601,x43603),x43605)) % 159.04/158.75 [4445]E(f331(f141(f885(x44451,f880(x44452)),f884(x44451,x44452),f331(f331(f8(f885(x44451,f885(x44452,f885(x44451,f880(x44452)))),f885(f884(x44451,x44452),f885(x44451,f880(x44452))),f885(x44451,f880(x44452))),f269(x44451,x44452,f885(x44451,f880(x44452)))),f331(f331(f7(f885(x44451,f880(x44452)),f885(x44452,f880(x44452)),f885(x44451,f885(x44452,f885(x44451,f880(x44452))))),f331(f331(f8(f885(x44451,f885(f885(x44452,f880(x44452)),f885(x44452,f885(x44451,f880(x44452))))),f885(f885(x44452,f880(x44452)),f885(x44451,f885(x44452,f885(x44451,f880(x44452))))),f885(x44451,f880(x44452))),f7(x44451,f885(x44452,f880(x44452)),f885(x44452,f885(x44451,f880(x44452))))),f331(f331(f8(f885(x44451,f885(f880(x44452),f885(x44451,f880(x44452)))),f885(x44451,f885(f885(x44452,f880(x44452)),f885(x44452,f885(x44451,f880(x44452))))),f885(x44451,f880(x44452))),f331(f8(f885(f880(x44452),f885(x44451,f880(x44452))),f885(f885(x44452,f880(x44452)),f885(x44452,f885(x44451,f880(x44452)))),x44451),f8(f880(x44452),f885(x44451,f880(x44452)),x44452))),f72(x44451,f880(x44452))))),f236(x44452))),x44453),f331(f331(f182(x44451,x44452),x44454),x44455)),f187(x44451,x44452,x44453,x44454,x44455)) % 159.04/158.75 [4447]P20(x44471,x44472,f331(f331(f308(f875(x44471)),f331(f331(f331(f92(x44471),f331(f331(f7(x44471,f885(a872,a871),f885(a872,a871)),f331(f331(f8(f885(a872,f885(a871,a871)),f885(f885(a872,a871),f885(a872,a871)),x44471),f18(a872,a871,a871)),f331(f331(f8(f885(a872,a871),f885(a872,f885(a871,a871)),x44471),f331(f8(a871,f885(a871,a871),a872),a329)),x44473))),f331(f331(f8(a871,a871,a872),a326),x44474))),f32(x44474,x44475)),x44473)),f194(f885(f875(x44471),a871)))) % 159.04/158.75 [3537]E(f331(f331(f331(f331(f213(x35371),x35372),x35373),x35374),x35375),f199(x35371,x35372)) % 159.04/158.75 [3538]E(f331(f331(f331(f331(f217(x35381),x35382),x35383),x35384),x35385),f209(x35381,x35382)) % 159.04/158.75 [3582]E(f97(x35821,x35822,f331(f331(f331(f92(x35821),x35823),x35824),x35825)),f2(a876)) % 159.04/158.75 [3677]E(f331(f331(f331(f331(f72(x36771,x36772),x36773),x36774),x36775),x36774),x36775) % 159.04/158.75 [3904]E(f331(f331(f42(x39041,f885(x39042,a871)),f331(f331(f308(x39041),x39043),x39044)),x39045),f331(f331(f114(f885(x39042,a871)),f331(x39045,x39043)),f331(f331(f42(x39041,f885(x39042,a871)),x39044),x39045))) % 159.04/158.75 [3905]E(f331(f331(f43(x39051,f885(x39052,a871)),f331(f331(f308(x39051),x39053),x39054)),x39055),f331(f331(f105(f885(x39052,a871)),f331(x39055,x39053)),f331(f331(f43(x39051,f885(x39052,a871)),x39054),x39055))) % 159.04/158.75 [3957]E(f331(f122(x39571,x39572,f331(x39573,x39574)),f331(f331(f7(x39571,a103,f878(x39572)),x39575),x39574)),f331(f206(x39571,x39572,x39573,x39575),x39574)) % 159.04/158.75 [3971]E(f331(f331(f114(f885(x39711,a871)),f331(f309(x39712,x39711,x39713),x39714)),f331(f309(x39712,x39711,x39713),x39715)),f331(f309(x39712,x39711,x39713),f331(f331(f114(f885(x39712,a871)),x39714),x39715))) % 159.04/158.75 [3972]E(f331(f331(f22(f885(x39721,a871)),f331(f310(x39721,x39722,x39723),x39724)),f331(f310(x39721,x39722,x39723),x39725)),f331(f310(x39721,x39722,x39723),f331(f331(f22(f885(x39722,a871)),x39724),x39725))) % 159.04/158.75 [3973]E(f331(f331(f114(f885(x39731,a871)),f331(f310(x39731,x39732,x39733),x39734)),f331(f310(x39731,x39732,x39733),x39735)),f331(f310(x39731,x39732,x39733),f331(f331(f114(f885(x39732,a871)),x39734),x39735))) % 159.04/158.75 [3974]E(f331(f331(f105(f885(x39741,a871)),f331(f310(x39741,x39742,x39743),x39744)),f331(f310(x39741,x39742,x39743),x39745)),f331(f310(x39741,x39742,x39743),f331(f331(f105(f885(x39742,a871)),x39744),x39745))) % 159.04/158.75 [3975]E(f331(f331(f114(f885(x39751,a871)),f331(f284(x39752,x39751,x39753),x39754)),f331(f284(x39752,x39751,x39753),x39755)),f331(f284(x39752,x39751,x39753),f331(f331(f114(f885(x39752,a871)),x39754),x39755))) % 159.04/158.75 [3977]E(f188(x39771,x39772,f188(x39771,x39772,x39773,x39774),x39775),f188(x39771,x39772,x39773,f331(f331(f105(f885(x39771,a871)),x39774),x39775))) % 159.04/158.75 [4039]E(f331(f331(f158(x40391,f331(f331(f126(x40391),x40392),f331(f331(f150(x40391),x40393),x40394))),f331(f195(f877(x40391)),x40392)),x40395),f331(f331(f126(x40391),x40392),f331(f331(f150(x40391),x40395),x40394))) % 159.04/158.75 [4047]E(f331(f331(f43(x40471,f885(x40472,a871)),x40473),f331(f331(f8(f885(x40472,a871),f885(x40472,a871),x40471),f331(f308(x40472),x40474)),x40475)),f331(f331(f308(x40472),x40474),f331(f331(f43(x40471,f885(x40472,a871)),x40473),x40475))) % 159.04/158.75 [4115]E(f188(x41151,x41152,f331(f331(f331(f72(x41151,f880(x41152)),x41153),x41154),f331(f236(x41152),x41155)),f331(f79(f885(x41151,a871)),f331(f331(f308(x41151),x41154),f194(f885(x41151,a871))))),f188(x41151,x41152,x41153,f331(f79(f885(x41151,a871)),f331(f331(f308(x41151),x41154),f194(f885(x41151,a871)))))) % 159.04/158.75 [4206]E(f331(f331(f153(x42061,x42062),x42063),f331(f135(x42061,f331(f73(x42062,a871,x42061,x42064),x42063)),x42065)),f331(f135(x42062,x42064),f331(f331(f153(x42061,x42062),x42063),x42065))) % 159.04/158.75 [4212]E(f331(f195(f877(x42121)),f331(f135(x42121,x42122),f331(f331(f153(x42123,x42121),x42124),x42125))),f331(f195(f877(x42123)),f331(f135(x42123,f331(f73(x42121,a871,x42123,x42122),x42124)),x42125))) % 159.04/158.75 [4351]E(f331(f331(f114(f885(x43511,a871)),f331(f331(f22(f885(x43511,a871)),f184(x43511,x43512,x43513)),f331(f250(x43511),f331(f331(f7(x43511,f885(x43511,a871),a871),f333(x43511)),f331(f331(f22(f885(x43511,a871)),x43514),f184(x43511,x43512,x43515)))))),f331(f250(x43511),f331(f331(f7(x43511,f885(x43511,a871),a871),f333(x43511)),f331(f331(f105(f885(x43511,a871)),x43514),f184(x43511,x43512,x43515))))),f184(x43511,x43512,f76(x43511,f880(x43512),x43513,x43515,x43514))) % 159.04/158.75 [4426]E(f331(f155(f877(f884(x44261,x44262)),x44262,f117(f884(x44261,x44262)),f331(f331(f7(x44262,f885(f877(x44262),f877(f884(x44261,x44262))),f885(f877(x44262),f877(f884(x44261,x44262)))),f331(f331(f8(f885(f877(f884(x44261,x44262)),f877(f884(x44261,x44262))),f885(f885(f877(x44262),f877(f884(x44261,x44262))),f885(f877(x44262),f877(f884(x44261,x44262)))),x44262),f8(f877(f884(x44261,x44262)),f877(f884(x44261,x44262)),f877(x44262))),f331(f331(f8(f884(x44261,x44262),f885(f877(f884(x44261,x44262)),f877(f884(x44261,x44262))),x44262),f150(f884(x44261,x44262))),f331(f265(x44261,x44262),x44263)))),f331(f182(x44261,x44262),x44264))),x44265),f331(f331(f182(x44261,x44262),f331(f331(f150(x44261),x44263),x44264)),x44265)) % 159.04/158.75 [3898]E(f331(f331(f158(x38981,f331(f331(f158(x38981,x38982),x38983),x38984)),x38983),x38985),f331(f331(f158(x38981,x38982),x38983),x38985)) % 159.04/158.75 [3952]E(f331(f261(x39521,x39522),f331(f331(f308(f884(x39521,x39522)),f331(f331(f265(x39521,x39522),x39523),x39524)),x39525)),f331(f331(f308(x39522),x39524),f331(f261(x39521,x39522),x39525))) % 159.04/158.75 [3953]E(f331(f263(x39531,x39532),f331(f331(f308(f884(x39531,x39532)),f331(f331(f265(x39531,x39532),x39533),x39534)),x39535)),f331(f331(f308(x39531),x39533),f331(f263(x39531,x39532),x39535))) % 159.04/158.75 [4002]E(f124(x40021,x40022,f331(x40023,x40024),f331(f331(f7(x40021,a103,f878(f880(x40022))),x40025),x40024)),f331(f204(x40021,x40022,x40023,x40025),x40024)) % 159.04/158.75 [4032]E(f331(f331(f22(f885(f884(x40321,x40322),a871)),f331(f331(f267(x40321,x40322),x40323),x40324)),f331(f331(f267(x40321,x40322),x40325),x40324)),f331(f331(f267(x40321,x40322),f331(f331(f22(f885(x40321,a871)),x40323),x40325)),x40324)) % 159.04/158.75 [4033]E(f331(f331(f114(f885(f884(x40331,x40332),a871)),f331(f331(f267(x40331,x40332),x40333),x40334)),f331(f331(f267(x40331,x40332),x40335),x40334)),f331(f331(f267(x40331,x40332),f331(f331(f114(f885(x40331,a871)),x40333),x40335)),x40334)) % 159.04/158.75 [4034]E(f331(f331(f105(f885(f884(x40341,x40342),a871)),f331(f331(f267(x40341,x40342),x40343),x40344)),f331(f331(f267(x40341,x40342),x40345),x40344)),f331(f331(f267(x40341,x40342),f331(f331(f105(f885(x40341,a871)),x40343),x40345)),x40344)) % 159.04/158.75 [4093]E(f331(f331(f114(f885(x40931,a871)),f331(f331(f42(x40932,f885(x40931,a871)),x40933),x40934)),f331(f331(f42(x40932,f885(x40931,a871)),x40935),x40934)),f331(f331(f42(x40932,f885(x40931,a871)),f331(f331(f114(f885(x40932,a871)),x40933),x40935)),x40934)) % 159.04/158.75 [4094]E(f331(f331(f105(f885(x40941,a871)),f331(f331(f43(x40942,f885(x40941,a871)),x40943),x40944)),f331(f331(f43(x40942,f885(x40941,a871)),x40945),x40944)),f331(f331(f43(x40942,f885(x40941,a871)),f331(f331(f114(f885(x40942,a871)),x40943),x40945)),x40944)) % 159.04/158.75 [4108]E(f331(f331(f42(x41081,f885(x41082,a871)),x41083),f331(f331(f8(f885(x41082,a871),f885(x41082,a871),x41081),f331(f22(f885(x41082,a871)),x41084)),x41085)),f331(f331(f22(f885(x41082,a871)),x41084),f331(f331(f43(x41081,f885(x41082,a871)),x41083),x41085))) % 159.04/158.75 [4109]E(f331(f331(f42(x41091,f885(x41092,a871)),x41093),f331(f331(f8(f885(x41092,a871),f885(x41092,a871),x41091),f331(f105(f885(x41092,a871)),x41094)),x41095)),f331(f331(f105(f885(x41092,a871)),x41094),f331(f331(f42(x41091,f885(x41092,a871)),x41093),x41095))) % 159.04/158.75 [4110]E(f331(f331(f43(x41101,f885(x41102,a871)),x41103),f331(f331(f8(f885(x41102,a871),f885(x41102,a871),x41101),f331(f114(f885(x41102,a871)),x41104)),x41105)),f331(f331(f114(f885(x41102,a871)),x41104),f331(f331(f43(x41101,f885(x41102,a871)),x41103),x41105))) % 159.04/158.75 [4147]E(f185(x41471,x41472,x41473,f331(f178(x41471,x41472),f331(f168(f884(x41471,x41472)),f331(f331(f182(x41471,x41472),x41474),x41475)))),f187(x41471,x41472,x41473,x41474,x41475)) % 159.04/158.75 [4170]E(f191(f877(x41701),f331(f331(f150(x41701),x41702),x41703),f331(f331(f8(f877(x41701),f877(x41701),a876),f331(f150(x41701),x41704)),f331(f331(f7(a876,x41701,f877(x41701)),f158(x41701,x41703)),x41702)),x41705),f331(f331(f158(x41701,f331(f331(f150(x41701),x41704),x41703)),x41705),x41702)) % 159.04/158.75 [4174]E(f331(f331(f42(x41741,f885(f884(x41742,x41743),a871)),x41744),f331(f331(f8(f885(f884(x41743,x41742),a871),f885(f884(x41742,x41743),a871),x41741),f285(x41743,x41742)),x41745)),f331(f285(x41743,x41742),f331(f331(f42(x41741,f885(f884(x41743,x41742),a871)),x41744),x41745))) % 159.04/158.75 [4175]E(f331(f331(f43(x41751,f885(f884(x41752,x41753),a871)),x41754),f331(f331(f8(f885(f884(x41753,x41752),a871),f885(f884(x41752,x41753),a871),x41751),f285(x41753,x41752)),x41755)),f331(f285(x41753,x41752),f331(f331(f43(x41751,f885(f884(x41753,x41752),a871)),x41754),x41755))) % 159.04/158.75 [4230]E(f184(x42301,x42302,f331(f331(f18(x42301,f880(x42303),f880(x42302)),f331(f331(f8(f885(x42303,x42302),f885(f880(x42303),f880(x42302)),x42301),f208(x42303,x42302)),x42304)),x42305)),f184(x42301,x42303,x42305)) % 159.04/158.75 [4282]P104(f331(f331(f244(f885(x42821,a871)),f331(f331(f22(f885(x42821,a871)),f331(f309(x42822,x42821,x42823),x42824)),f331(f309(x42822,x42821,x42823),x42825))),f331(f309(x42822,x42821,x42823),f331(f331(f22(f885(x42822,a871)),x42824),x42825)))) % 159.04/158.75 [4430]E(f331(f155(f877(f884(x44301,x44302)),x44301,f117(f884(x44301,x44302)),f331(f331(f7(x44301,f885(f877(x44301),f877(f884(x44301,x44302))),f885(f877(x44301),f877(f884(x44301,x44302)))),f331(f331(f8(f885(f877(f884(x44301,x44302)),f877(f884(x44301,x44302))),f885(f885(f877(x44301),f877(f884(x44301,x44302))),f885(f877(x44301),f877(f884(x44301,x44302)))),x44301),f8(f877(f884(x44301,x44302)),f877(f884(x44301,x44302)),f877(x44301))),f331(f331(f8(f884(x44301,x44302),f885(f877(f884(x44301,x44302)),f877(f884(x44301,x44302))),x44301),f150(f884(x44301,x44302))),f331(f331(f7(x44301,x44302,f884(x44301,x44302)),f265(x44301,x44302)),x44303)))),f331(f331(f7(f877(x44301),f877(x44302),f877(f884(x44301,x44302))),f182(x44301,x44302)),x44304))),x44305),f331(f331(f182(x44301,x44302),x44305),f331(f331(f150(x44302),x44303),x44304))) % 159.04/158.75 [4135]E(f331(f331(f114(f885(x41351,a871)),f331(f284(x41352,x41351,x41353),x41354)),f331(f284(x41352,x41351,x41355),x41354)),f331(f284(x41352,x41351,f331(f331(f114(f885(f884(x41352,x41351),a871)),x41353),x41355)),x41354)) % 159.04/158.75 [4177]E(f331(f331(f126(f884(x41771,x41772)),f331(f331(f182(x41771,x41772),x41773),f331(f331(f175(x41772),f331(f195(f877(x41771)),x41773)),x41774))),f331(f331(f182(x41771,x41772),x41775),f331(f331(f137(x41772),f331(f195(f877(x41771)),x41773)),x41774))),f331(f331(f182(x41771,x41772),f331(f331(f126(x41771),x41773),x41775)),x41774)) % 159.04/158.75 [4285]E(f331(f331(f267(x42851,x42852),x42853),f331(f331(f18(x42851,f885(x42852,a871),f885(x42852,a871)),f331(f331(f8(f885(x42852,a871),f885(f885(x42852,a871),f885(x42852,a871)),x42851),f22(f885(x42852,a871))),x42854)),x42855)),f331(f331(f22(f885(f884(x42851,x42852),a871)),f331(f331(f267(x42851,x42852),x42853),x42854)),f331(f331(f267(x42851,x42852),x42853),x42855))) % 159.04/158.75 [4286]E(f331(f331(f267(x42861,x42862),x42863),f331(f331(f18(x42861,f885(x42862,a871),f885(x42862,a871)),f331(f331(f8(f885(x42862,a871),f885(f885(x42862,a871),f885(x42862,a871)),x42861),f114(f885(x42862,a871))),x42864)),x42865)),f331(f331(f114(f885(f884(x42861,x42862),a871)),f331(f331(f267(x42861,x42862),x42863),x42864)),f331(f331(f267(x42861,x42862),x42863),x42865))) % 159.04/158.75 [4287]E(f331(f331(f267(x42871,x42872),x42873),f331(f331(f18(x42871,f885(x42872,a871),f885(x42872,a871)),f331(f331(f8(f885(x42872,a871),f885(f885(x42872,a871),f885(x42872,a871)),x42871),f105(f885(x42872,a871))),x42874)),x42875)),f331(f331(f105(f885(f884(x42871,x42872),a871)),f331(f331(f267(x42871,x42872),x42873),x42874)),f331(f331(f267(x42871,x42872),x42873),x42875))) % 159.04/158.75 [4291]E(f331(f331(f42(x42911,f885(x42912,a871)),x42913),f331(f331(f7(x42911,f885(x42912,a871),f885(x42912,a871)),f331(f331(f8(f885(x42912,a871),f885(f885(x42912,a871),f885(x42912,a871)),x42911),f22(f885(x42912,a871))),x42914)),x42915)),f331(f331(f22(f885(x42912,a871)),f331(f331(f42(x42911,f885(x42912,a871)),x42913),x42914)),x42915)) % 159.04/158.75 [4292]E(f331(f331(f42(x42921,f885(x42922,a871)),x42923),f331(f331(f7(x42921,f885(x42922,a871),f885(x42922,a871)),f331(f331(f8(f885(x42922,a871),f885(f885(x42922,a871),f885(x42922,a871)),x42921),f105(f885(x42922,a871))),x42924)),x42925)),f331(f331(f105(f885(x42922,a871)),f331(f331(f42(x42921,f885(x42922,a871)),x42923),x42924)),x42925)) % 159.04/158.75 [4293]E(f331(f331(f43(x42931,f885(x42932,a871)),x42933),f331(f331(f7(x42931,f885(x42932,a871),f885(x42932,a871)),f331(f331(f8(f885(x42932,a871),f885(f885(x42932,a871),f885(x42932,a871)),x42931),f114(f885(x42932,a871))),x42934)),x42935)),f331(f331(f114(f885(x42932,a871)),f331(f331(f43(x42931,f885(x42932,a871)),x42933),x42934)),x42935)) % 159.04/158.75 [4297]E(f331(f331(f42(x42971,f885(x42972,a871)),x42973),f331(f331(f18(x42971,f885(x42972,a871),f885(x42972,a871)),f331(f331(f8(f885(x42972,a871),f885(f885(x42972,a871),f885(x42972,a871)),x42971),f114(f885(x42972,a871))),x42974)),x42975)),f331(f331(f114(f885(x42972,a871)),f331(f331(f42(x42971,f885(x42972,a871)),x42973),x42974)),f331(f331(f42(x42971,f885(x42972,a871)),x42973),x42975))) % 159.04/158.75 [4298]E(f331(f331(f43(x42981,f885(x42982,a871)),x42983),f331(f331(f18(x42981,f885(x42982,a871),f885(x42982,a871)),f331(f331(f8(f885(x42982,a871),f885(f885(x42982,a871),f885(x42982,a871)),x42981),f105(f885(x42982,a871))),x42984)),x42985)),f331(f331(f105(f885(x42982,a871)),f331(f331(f43(x42981,f885(x42982,a871)),x42983),x42984)),f331(f331(f43(x42981,f885(x42982,a871)),x42983),x42985))) % 159.04/158.75 [4312]E(f331(f331(f42(x43121,f885(x43122,a871)),x43123),f331(f331(f18(x43121,f885(x43122,a871),f885(x43122,a871)),f331(f331(f8(f885(x43122,a871),f885(f885(x43122,a871),f885(x43122,a871)),x43121),f114(f885(x43122,a871))),x43124)),x43125)),f331(f331(f114(f885(x43122,a871)),f40(f885(x43122,a871),f331(f309(x43121,f885(x43122,a871),x43124),x43123))),f40(f885(x43122,a871),f331(f309(x43121,f885(x43122,a871),x43125),x43123)))) % 159.04/158.75 [4313]E(f331(f331(f43(x43131,f885(x43132,a871)),x43133),f331(f331(f18(x43131,f885(x43132,a871),f885(x43132,a871)),f331(f331(f8(f885(x43132,a871),f885(f885(x43132,a871),f885(x43132,a871)),x43131),f105(f885(x43132,a871))),x43134)),x43135)),f331(f331(f105(f885(x43132,a871)),f41(f885(x43132,a871),f331(f309(x43131,f885(x43132,a871),x43134),x43133))),f41(f885(x43132,a871),f331(f309(x43131,f885(x43132,a871),x43135),x43133)))) % 159.04/158.75 [4347]E(f331(f331(f137(x43471),f331(f195(f877(x43471)),f177(x43471,x43472,f331(f331(f153(x43473,x43471),x43474),x43475)))),f331(f331(f153(x43473,x43471),x43474),x43475)),f331(f331(f153(x43473,x43471),x43474),f331(f331(f137(x43473),f331(f195(f877(x43473)),f177(x43473,f331(f73(x43471,a871,x43473,x43472),x43474),x43475))),x43475))) % 159.04/158.75 [4220]E(f331(f331(f126(f884(x42201,x42202)),f331(f331(f182(x42201,x42202),f331(f331(f175(x42201),f331(f195(f877(x42202)),x42203)),x42204)),x42203)),f331(f331(f182(x42201,x42202),f331(f331(f137(x42201),f331(f195(f877(x42202)),x42203)),x42204)),x42205)),f331(f331(f182(x42201,x42202),x42204),f331(f331(f126(x42202),x42203),x42205))) % 159.04/158.75 [4339]E(f85(x43391,f331(f331(f18(x43391,a871,a871),f331(f331(f8(a871,f885(a871,a871),x43391),a329),f331(f331(f7(x43391,f885(x43391,a871),a871),f333(x43391)),x43392))),f331(f331(f7(x43391,x43393,a871),f331(f331(f8(x43393,f885(x43393,a871),x43391),a328),x43394)),x43395))),f331(f77(x43391,x43393,x43392,x43394),x43395)) % 159.04/158.75 [4391]E(f331(f331(f86(a1,x43911),f331(f107(a1),f331(f331(f80(a1),x43912),a101))),f331(f331(f18(a1,x43911,x43911),f331(f331(f7(a1,x43911,f885(x43911,x43911)),f331(f331(f8(a871,f885(x43911,f885(x43911,x43911)),a1),f100(x43911)),a200)),f191(x43911,x43913,x43914,x43915))),f331(f331(f8(a876,x43911,a1),x43914),f331(f331(f7(a1,a876,a876),f331(f331(f8(a876,f885(a876,a876),a1),f80(a876)),a108)),x43915)))),f191(x43911,x43913,x43914,f331(f331(f80(a876),f331(f107(a876),x43912)),x43915))) % 159.04/158.75 [4427]E(f331(f178(x44271,x44272),f331(f331(f153(f884(x44271,x44273),f884(x44271,x44272)),f331(f269(x44271,x44273,f884(x44271,x44272)),f331(f331(f7(x44271,f885(x44273,x44272),f885(x44273,f884(x44271,x44272))),f331(f331(f8(f885(x44272,f884(x44271,x44272)),f885(f885(x44273,x44272),f885(x44273,f884(x44271,x44272))),x44271),f8(x44272,f884(x44271,x44272),x44273)),f265(x44271,x44272))),x44274))),x44275)),f331(f73(f880(x44273),f880(x44272),x44271,f331(f208(x44273,x44272),x44274)),f331(f178(x44271,x44273),x44275))) % 159.04/158.75 [4384]E(f184(x43841,x43842,f331(f331(f18(x43841,f880(x43842),f880(x43842)),f331(f331(f18(x43841,f880(x43842),f885(f880(x43842),f880(x43842))),f331(f331(f8(a871,f885(f880(x43842),f885(f880(x43842),f880(x43842))),x43841),f100(f880(x43842))),x43843)),x43844)),x43845)),f331(f331(f114(f885(x43841,a871)),f331(f331(f105(f885(x43841,a871)),f184(x43841,x43842,x43844)),f331(f250(x43841),x43843))),f331(f331(f105(f885(x43841,a871)),f184(x43841,x43842,x43845)),f331(f250(x43841),f331(f331(f8(a871,a871,x43841),a326),x43843))))) % 159.04/158.75 [4425]E(f331(f331(f86(a1,x44251),f331(f107(a1),f331(f331(f80(a1),x44252),a101))),f331(f331(f18(a1,x44251,x44251),f331(f331(f7(a1,x44251,f885(x44251,x44251)),f331(f331(f8(a871,f885(x44251,f885(x44251,x44251)),a1),f100(x44251)),a200)),f331(f190(x44251,x44253,x44254),x44255))),f331(f331(f18(a1,x44251,x44251),f331(f331(f8(a876,f885(x44251,x44251),a1),x44254),f331(f331(f7(a1,a876,a876),f331(f331(f8(a876,f885(a876,a876),a1),f80(a876)),a108)),x44255))),f331(f331(f8(a876,x44251,a1),f190(x44251,x44253,x44254)),f331(f331(f7(a1,a876,a876),f331(f331(f8(a876,f885(a876,a876),a1),f80(a876)),a108)),x44255))))),f331(f190(x44251,x44253,x44254),f331(f331(f80(a876),f331(f107(a876),x44252)),x44255))) % 159.04/158.75 [4459]E(f331(f250(f884(x44591,x44592)),f331(f269(x44591,x44592,a871),f331(f331(f8(f885(x44592,f885(x44593,a871)),f885(x44592,a871),x44591),f331(f8(f885(x44593,a871),a871,x44592),f87(x44593))),f331(f331(f7(x44591,f885(x44592,f885(x44593,a871)),f885(x44592,f885(x44593,a871))),f331(f331(f8(f885(f885(x44593,a871),f885(x44593,a871)),f885(f885(x44592,f885(x44593,a871)),f885(x44592,f885(x44593,a871))),x44591),f8(f885(x44593,a871),f885(x44593,a871),x44592)),f331(f331(f8(f885(x44593,f885(a871,a871)),f885(f885(x44593,a871),f885(x44593,a871)),x44591),f18(x44593,a871,a871)),f331(f331(f8(f885(x44593,a871),f885(x44593,f885(a871,a871)),x44591),f331(f8(a871,f885(a871,a871),x44593),a329)),f331(f331(f7(x44591,f885(f884(x44591,x44593),a871),f885(x44593,a871)),f331(f331(f8(f885(x44593,f885(f885(f884(x44591,x44593),a871),a871)),f885(f885(f884(x44591,x44593),a871),f885(x44593,a871)),x44591),f7(x44593,f885(f884(x44591,x44593),a871),a871)),f331(f331(f8(f885(x44593,f884(x44591,x44593)),f885(x44593,f885(f885(f884(x44591,x44593),a871),a871)),x44591),f331(f8(f884(x44591,x44593),f885(f885(f884(x44591,x44593),a871),a871),x44593),f333(f884(x44591,x44593)))),f265(x44591,x44593)))),x44594))))),f331(f331(f7(x44592,f885(f884(x44593,x44592),a871),f885(x44593,a871)),f331(f331(f8(f885(x44593,f885(f885(f884(x44593,x44592),a871),a871)),f885(f885(f884(x44593,x44592),a871),f885(x44593,a871)),x44592),f7(x44593,f885(f884(x44593,x44592),a871),a871)),f331(f331(f8(f885(x44593,f884(x44593,x44592)),f885(x44593,f885(f885(f884(x44593,x44592),a871),a871)),x44592),f331(f8(f884(x44593,x44592),f885(f885(f884(x44593,x44592),a871),a871),x44593),f333(f884(x44593,x44592)))),f331(f7(x44593,x44592,f884(x44593,x44592)),f265(x44593,x44592))))),x44595))))),f331(f331(f287(x44591,x44593,x44592),x44594),x44595)) % 159.04/158.75 [4536]~E(f29(x45361,x45362,x45363),f30(x45364,x45365,x45366)) % 159.04/158.75 [3987]E(f131(x39871,x39872,x39873,x39874,f128(x39872,x39875,x39876)),f331(f331(x39874,x39875),x39876)) % 159.04/158.75 [4204]E(f187(x42041,x42042,f185(x42041,x42042,x42043,x42044),x42045,x42046),f185(x42041,x42042,x42043,f187(x42041,x42042,x42044,x42045,x42046))) % 159.04/158.75 [4328]E(f331(f73(f884(x43281,x43282),x43282,f884(x43283,x43284),f268(x43281,x43282)),f270(x43283,x43281,x43284,x43282,x43285,x43286)),f331(f73(x43284,x43282,f884(x43283,x43284),x43286),f268(x43283,x43284))) % 159.04/158.75 [4329]E(f331(f73(f884(x43291,x43292),x43291,f884(x43293,x43294),f264(x43291,x43292)),f270(x43293,x43291,x43294,x43292,x43295,x43296)),f331(f73(x43293,x43291,f884(x43293,x43294),x43295),f264(x43293,x43294))) % 159.04/158.75 [3927]E(f331(f331(f73(x39271,x39272,x39273,x39274),x39275),x39276),f331(x39274,f331(x39275,x39276))) % 159.04/158.75 [3724]E(f331(f331(f269(x37241,x37242,x37243),x37244),f331(f331(f265(x37241,x37242),x37245),x37246)),f331(f331(x37244,x37245),x37246)) % 159.04/158.75 [3784]E(f331(f331(f331(f8(x37841,x37842,x37843),x37844),x37845),x37846),f331(x37844,f331(x37845,x37846))) % 159.04/158.75 [3785]E(f331(f331(f331(f7(x37851,x37852,x37853),x37854),x37855),x37856),f331(f331(x37854,x37856),x37855)) % 159.04/158.75 [3802]E(f331(f331(f331(f18(x38021,x38022,x38023),x38024),x38025),x38026),f331(f331(x38024,x38026),f331(x38025,x38026))) % 159.04/158.75 [3824]E(f331(f155(x38241,x38242,x38243,x38244),f331(f331(f150(x38242),x38245),x38246)),f331(f331(x38244,x38245),x38246)) % 159.04/158.75 [3931]E(f331(f331(f150(f884(x39311,x39312)),f331(f331(f265(x39311,x39312),x39313),x39314)),f331(f331(f182(x39311,x39312),x39315),x39316)),f331(f331(f182(x39311,x39312),f331(f331(f150(x39311),x39313),x39315)),f331(f331(f150(x39312),x39314),x39316))) % 159.04/158.75 [3933]E(f331(f331(f153(x39331,x39332),x39333),f331(f331(f158(x39331,x39334),x39335),x39336)),f331(f331(f158(x39332,f331(f331(f153(x39331,x39332),x39333),x39334)),x39335),f331(x39333,x39336))) % 159.04/158.75 [3976]E(f331(f141(x39761,x39762,x39763,x39764),f331(f331(f150(x39762),x39765),x39766)),f331(f141(x39761,x39762,x39763,f331(f331(x39763,x39764),x39765)),x39766)) % 159.04/158.75 [4003]E(f272(x40031,x40032,x40033,x40034,f331(f331(f265(x40031,x40032),x40035),x40036)),f331(f331(x40034,x40035),x40036)) % 159.04/158.75 [4086]E(f331(f331(f42(x40861,f885(x40862,a871)),x40863),f331(f73(x40864,f885(x40862,a871),x40861,x40865),x40866)),f331(f331(f42(x40864,f885(x40862,a871)),f331(f309(x40861,x40864,x40866),x40863)),x40865)) % 159.04/158.75 [4138]E(f331(f331(f208(x41381,x41382),x41383),f331(f331(f208(x41384,x41381),x41385),x41386)),f331(f331(f208(x41384,x41382),f331(f73(x41381,x41382,x41384,x41383),x41385)),x41386)) % 159.04/158.75 [4140]E(f331(f331(f153(x41401,x41402),x41403),f331(f331(f153(x41404,x41401),x41405),x41406)),f331(f331(f153(x41404,x41402),f331(f73(x41401,x41402,x41404,x41403),x41405)),x41406)) % 159.04/158.75 [4145]E(f331(f309(x41451,x41452,f331(f73(x41453,x41452,x41451,x41454),x41455)),x41456),f331(f309(x41453,x41452,x41454),f331(f309(x41451,x41453,x41455),x41456))) % 159.04/158.75 [4146]E(f331(f310(x41461,x41462,f331(f73(x41463,x41462,x41461,x41464),x41465)),x41466),f331(f310(x41461,x41463,x41465),f331(f310(x41463,x41462,x41464),x41466))) % 159.04/158.75 [4176]E(f185(x41761,x41762,x41763,f331(f331(f331(f72(x41761,f880(x41762)),x41764),x41765),f331(f236(x41762),x41766))),f331(f331(f331(f72(x41761,f880(x41762)),f185(x41761,x41762,x41763,x41764)),x41765),f331(f236(x41762),x41766))) % 159.04/158.75 [4178]E(f331(f141(x41781,x41782,x41783,f331(f141(x41781,x41782,x41783,x41784),x41785)),x41786),f331(f141(x41781,x41782,x41783,x41784),f331(f331(f126(x41782),x41785),x41786))) % 159.04/158.75 [4318]E(f331(f270(x43181,x43181,x43182,x43183,f34(x43181),x43184),f331(f331(f265(x43181,x43182),x43185),x43186)),f331(f331(f265(x43181,x43183),x43185),f331(x43184,x43186))) % 159.04/158.75 [4319]E(f331(f270(x43191,x43192,x43193,x43193,x43194,f34(x43193)),f331(f331(f265(x43191,x43193),x43195),x43196)),f331(f331(f265(x43192,x43193),f331(x43194,x43195)),x43196)) % 159.04/158.75 [4409]E(f331(f331(f153(f884(x44091,x44092),f884(x44091,x44093)),f331(f269(x44091,x44092,f884(x44091,x44093)),f331(f331(f7(x44091,f885(x44092,x44093),f885(x44092,f884(x44091,x44093))),f331(f331(f8(f885(x44093,f884(x44091,x44093)),f885(f885(x44092,x44093),f885(x44092,f884(x44091,x44093))),x44091),f8(x44093,f884(x44091,x44093),x44092)),f265(x44091,x44093))),x44094))),f331(f331(f182(x44091,x44092),x44095),x44096)),f331(f331(f182(x44091,x44093),x44095),f331(f331(f153(x44092,x44093),x44094),x44096))) % 159.04/158.75 [3789]E(f98(x37891,x37892,x37893,f331(f331(f331(f92(x37891),x37894),x37895),x37896)),f331(f331(f331(x37893,x37894),x37895),x37896)) % 159.04/158.75 [3790]E(f99(x37901,x37902,x37903,f331(f331(f331(f92(x37901),x37904),x37905),x37906)),f331(f331(f331(x37903,x37904),x37905),x37906)) % 159.04/158.75 [3986]E(f331(f331(f73(x39861,x39862,x39863,f331(f16(x39862,x39861),x39864)),x39865),x39866),x39864) % 159.04/158.75 [4022]E(f331(f309(x40221,x40222,x40223),f331(f309(x40224,x40221,x40225),x40226)),f331(f309(x40224,x40222,f331(f331(f8(x40221,x40222,x40224),x40223),x40225)),x40226)) % 159.04/158.75 [4028]E(f331(f331(f42(x40281,f885(x40282,a871)),f331(f309(x40283,x40281,x40284),x40285)),x40286),f331(f331(f42(x40283,f885(x40282,a871)),x40285),f331(f331(f8(x40281,f885(x40282,a871),x40283),x40286),x40284))) % 159.04/158.75 [4029]E(f331(f331(f43(x40291,f885(x40292,a871)),f331(f309(x40293,x40291,x40294),x40295)),x40296),f331(f331(f43(x40293,f885(x40292,a871)),x40295),f331(f331(f8(x40291,f885(x40292,a871),x40293),x40296),x40294))) % 159.04/158.75 [4030]E(f331(f331(f42(x40301,f885(x40302,a871)),x40303),f331(f331(f8(x40304,f885(x40302,a871),x40301),x40305),x40306)),f331(f331(f42(x40304,f885(x40302,a871)),f331(f309(x40301,x40304,x40306),x40303)),x40305)) % 159.04/158.75 [4031]E(f331(f331(f43(x40311,f885(x40312,a871)),x40313),f331(f331(f8(x40314,f885(x40312,a871),x40311),x40315),x40316)),f331(f331(f43(x40314,f885(x40312,a871)),f331(f309(x40311,x40314,x40316),x40313)),x40315)) % 159.04/158.75 [4088]E(f331(f331(f42(x40881,f885(x40882,a871)),x40883),f331(f331(f8(f885(x40884,a871),f885(x40882,a871),x40881),f309(x40884,x40882,x40885)),x40886)),f331(f309(x40884,x40882,x40885),f331(f331(f42(x40881,f885(x40884,a871)),x40883),x40886))) % 159.04/158.75 [4089]E(f331(f331(f42(x40891,f885(x40892,a871)),x40893),f331(f331(f8(f885(x40894,a871),f885(x40892,a871),x40891),f310(x40892,x40894,x40895)),x40896)),f331(f310(x40892,x40894,x40895),f331(f331(f42(x40891,f885(x40894,a871)),x40893),x40896))) % 159.04/158.75 [4090]E(f331(f331(f43(x40901,f885(x40902,a871)),x40903),f331(f331(f8(f885(x40904,a871),f885(x40902,a871),x40901),f310(x40902,x40904,x40905)),x40906)),f331(f310(x40902,x40904,x40905),f331(f331(f43(x40901,f885(x40904,a871)),x40903),x40906))) % 159.04/158.75 [4091]E(f331(f331(f42(x40911,f885(x40912,a871)),x40913),f331(f331(f8(f885(x40914,a871),f885(x40912,a871),x40911),f284(x40914,x40912,x40915)),x40916)),f331(f284(x40914,x40912,x40915),f331(f331(f42(x40911,f885(x40914,a871)),x40913),x40916))) % 159.04/158.75 [4184]E(f331(f141(x41841,x41842,f331(f7(x41842,x41841,x41841),x41843),x41844),f331(f168(x41842),f331(f331(f150(x41842),x41845),x41846))),f331(f331(x41843,x41845),f331(f141(x41841,x41842,f331(f7(x41842,x41841,x41841),x41843),x41844),f331(f168(x41842),x41846)))) % 159.04/158.75 [4243]E(f331(f331(f18(f884(x42431,x42432),x42432,x42433),f331(f331(f8(x42434,f885(x42432,x42433),f884(x42431,x42432)),x42435),f331(f331(f8(x42431,x42434,f884(x42431,x42432)),x42436),f264(x42431,x42432)))),f268(x42431,x42432)),f331(f269(x42431,x42432,x42433),f331(f331(f8(x42434,f885(x42432,x42433),x42431),x42435),x42436))) % 159.04/158.75 [4250]E(f331(f141(x42501,x42502,f331(f7(x42502,x42501,x42501),x42503),f331(f141(x42501,x42502,f331(f7(x42502,x42501,x42501),x42503),x42504),f331(f168(x42502),x42505))),f331(f168(x42502),x42506)),f331(f141(x42501,x42502,f331(f7(x42502,x42501,x42501),x42503),x42504),f331(f168(x42502),f331(f331(f126(x42502),x42506),x42505)))) % 159.04/158.75 [4252]E(f331(f331(f153(f884(x42521,x42522),f884(x42523,x42522)),f331(f269(x42521,x42522,f884(x42523,x42522)),f331(f331(f8(x42523,f885(x42522,f884(x42523,x42522)),x42521),f265(x42523,x42522)),x42524))),f331(f331(f182(x42521,x42522),x42525),x42526)),f331(f331(f182(x42523,x42522),f331(f331(f153(x42521,x42523),x42524),x42525)),x42526)) % 159.04/158.75 [4301]P104(f331(f331(f244(f885(x43011,a871)),f331(f284(x43012,x43011,x43013),f331(f331(f43(x43014,f885(x43012,a871)),x43015),x43016))),f331(f331(f43(x43014,f885(x43011,a871)),x43015),f331(f331(f8(f885(x43012,a871),f885(x43011,a871),x43014),f284(x43012,x43011,x43013)),x43016)))) % 159.04/158.75 [4101]E(f331(f331(f182(x41011,x41012),f331(f331(f158(x41011,x41013),x41014),f331(f264(x41011,x41012),x41015))),f331(f331(f158(x41012,x41016),x41014),f331(f268(x41011,x41012),x41015))),f331(f331(f158(f884(x41011,x41012),f331(f331(f182(x41011,x41012),x41013),x41016)),x41014),x41015)) % 159.04/158.75 [4165]E(f331(f331(f114(f885(f884(x41651,x41652),a871)),f331(f331(f287(x41651,x41653,x41652),x41654),x41655)),f331(f331(f287(x41651,x41653,x41652),x41654),x41656)),f331(f331(f287(x41651,x41653,x41652),x41654),f331(f331(f114(f885(f884(x41653,x41652),a871)),x41655),x41656))) % 159.04/158.75 [4264]E(f331(f331(f308(f884(x42641,x42642)),f331(f331(f265(x42641,x42642),x42643),x42644)),f331(f331(f114(f885(f884(x42641,x42642),a871)),f331(f331(f267(x42641,x42642),x42645),f331(f16(f885(x42642,a871),x42641),f331(f331(f308(x42642),x42644),x42646)))),f331(f331(f267(x42641,x42642),f331(f331(f308(x42641),x42643),x42645)),f331(f16(f885(x42642,a871),x42641),x42646)))),f331(f331(f267(x42641,x42642),f331(f331(f308(x42641),x42643),x42645)),f331(f16(f885(x42642,a871),x42641),f331(f331(f308(x42642),x42644),x42646)))) % 159.04/158.75 [4342]E(f331(f331(f105(f885(x43421,a871)),f331(f310(x43421,x43422,f331(f73(f884(x43422,x43423),x43422,x43421,f264(x43422,x43423)),x43424)),x43425)),f331(f310(x43421,x43423,f331(f73(f884(x43422,x43423),x43423,x43421,f268(x43422,x43423)),x43424)),x43426)),f331(f310(x43421,f884(x43422,x43423),x43424),f331(f331(f267(x43422,x43423),x43425),f331(f16(f885(x43423,a871),x43422),x43426)))) % 159.04/158.75 [4085]E(f331(f331(f331(f72(x40851,x40852),f331(f331(f331(f72(x40851,x40852),x40853),x40854),x40855)),x40854),x40856),f331(f331(f331(f72(x40851,x40852),x40853),x40854),x40856)) % 159.04/158.75 [4190]E(f331(f331(f114(f885(f884(x41901,x41902),a871)),f331(f331(f287(x41901,x41903,x41902),x41904),x41905)),f331(f331(f287(x41901,x41903,x41902),x41906),x41905)),f331(f331(f287(x41901,x41903,x41902),f331(f331(f114(f885(f884(x41901,x41903),a871)),x41904),x41906)),x41905)) % 159.04/158.75 [4326]E(f331(f331(f42(x43261,f885(x43262,a871)),x43263),f331(f331(f7(x43261,f885(x43264,f885(x43262,a871)),f885(x43262,a871)),f331(f331(f8(f885(x43264,a871),f885(f885(x43264,f885(x43262,a871)),f885(x43262,a871)),x43261),f42(x43264,f885(x43262,a871))),x43265)),x43266)),f331(f331(f42(x43264,f885(x43262,a871)),f331(f331(f42(x43261,f885(x43264,a871)),x43263),x43265)),x43266)) % 159.04/158.75 [4327]E(f331(f331(f43(x43271,f885(x43272,a871)),x43273),f331(f331(f7(x43271,f885(x43274,f885(x43272,a871)),f885(x43272,a871)),f331(f331(f8(f885(x43274,a871),f885(f885(x43274,f885(x43272,a871)),f885(x43272,a871)),x43271),f43(x43274,f885(x43272,a871))),x43275)),x43276)),f331(f331(f43(x43274,f885(x43272,a871)),f331(f331(f42(x43271,f885(x43274,a871)),x43273),x43275)),x43276)) % 159.04/158.75 [4379]E(f331(f269(x43791,x43792,f884(x43793,x43794)),f331(f331(f7(x43791,f885(x43792,x43794),f885(x43792,f884(x43793,x43794))),f331(f331(f8(f885(x43794,f884(x43793,x43794)),f885(f885(x43792,x43794),f885(x43792,f884(x43793,x43794))),x43791),f8(x43794,f884(x43793,x43794),x43792)),f331(f331(f8(x43793,f885(x43794,f884(x43793,x43794)),x43791),f265(x43793,x43794)),x43795))),x43796)),f270(x43791,x43793,x43792,x43794,x43795,x43796)) % 159.04/158.75 [4300]E(f331(f331(f331(f72(x43001,f880(x43002)),f188(x43001,x43002,x43003,f331(f331(f22(f885(x43001,a871)),x43004),f331(f331(f308(x43001),x43005),f194(f885(x43001,a871)))))),x43005),x43006),f331(f331(f331(f72(x43001,f880(x43002)),f188(x43001,x43002,x43003,x43004)),x43005),x43006)) % 159.04/158.75 [4404]E(f331(f309(x44041,x44042,f331(f331(f18(x44041,x44042,x44042),f331(f331(f18(x44041,x44042,f885(x44042,x44042)),f331(f331(f8(a871,f885(x44042,f885(x44042,x44042)),x44041),f100(x44042)),x44043)),x44044)),x44045)),x44046),f331(f331(f114(f885(x44042,a871)),f331(f309(x44041,x44042,x44044),f331(f331(f105(f885(x44041,a871)),x44046),f331(f250(x44041),x44043)))),f331(f309(x44041,x44042,x44045),f331(f331(f105(f885(x44041,a871)),x44046),f331(f250(x44041),f331(f331(f8(a871,a871,x44041),a326),x44043)))))) % 159.04/158.75 [4415]E(f331(f309(x44151,f884(x44152,x44153),f331(f331(f18(x44151,x44153,f884(x44152,x44153)),f331(f331(f8(x44152,f885(x44153,f884(x44152,x44153)),x44151),f265(x44152,x44153)),x44154)),x44155)),x44156),f331(f331(f267(x44152,x44153),f331(f309(x44151,x44152,x44154),x44156)),f331(f331(f8(f885(x44151,a871),f885(x44153,a871),x44152),f309(x44151,x44153,x44155)),f331(f331(f7(x44152,f885(x44151,a871),f885(x44151,a871)),f331(f331(f8(f885(x44151,a871),f885(f885(x44151,a871),f885(x44151,a871)),x44152),f105(f885(x44151,a871))),f331(f331(f8(f885(x44152,a871),f885(x44151,a871),x44152),f310(x44151,x44152,x44154)),f331(f331(f7(x44152,f885(x44152,a871),f885(x44152,a871)),f308(x44152)),f194(f885(x44152,a871)))))),x44156)))) % 159.04/158.75 [4361]E(f331(f268(x43611,x43612),f331(f270(x43613,x43611,x43614,x43612,x43615,x43616),x43617)),f331(x43616,f331(f268(x43613,x43614),x43617))) % 159.04/158.75 [4362]E(f331(f264(x43621,x43622),f331(f270(x43623,x43621,x43624,x43622,x43625,x43626),x43627)),f331(x43625,f331(f264(x43623,x43624),x43627))) % 159.04/158.75 [4063]E(f331(f331(f182(x40631,x40632),f331(f331(f158(x40631,x40633),x40634),x40635)),f331(f331(f158(x40632,x40636),x40634),x40637)),f331(f331(f158(f884(x40631,x40632),f331(f331(f182(x40631,x40632),x40633),x40636)),x40634),f331(f331(f265(x40631,x40632),x40635),x40637))) % 159.04/158.75 [4131]E(f331(f331(f331(f271(x41311,x41312,x41313,x41314),x41315),x41316),x41317),f331(f331(f269(x41312,x41313,x41314),x41316),f331(x41315,x41317))) % 159.04/158.75 [4144]E(f331(f331(f331(f271(x41441,x41442,x41443,x41444),x41445),x41446),x41447),f331(f331(x41446,f331(f264(x41442,x41443),f331(x41445,x41447))),f331(f268(x41442,x41443),f331(x41445,x41447)))) % 159.04/158.75 [4180]E(f187(x41801,x41802,f331(f331(f331(f72(x41801,f880(x41802)),x41803),x41804),f331(f236(x41802),x41805)),x41806,x41807),f187(x41801,x41802,x41803,f331(f331(f150(x41801),x41804),x41806),f331(f331(f150(x41802),x41805),x41807))) % 159.04/158.75 [4198]E(f331(f73(x41981,x41982,x41983,x41984),f331(f73(x41985,x41981,x41983,x41986),x41987)),f331(f73(x41985,x41982,x41983,f331(f73(x41981,x41982,x41985,x41984),x41986)),x41987)) % 159.04/158.75 [4259]E(f331(f73(f880(x42591),f880(x42592),x42593,f331(f208(x42591,x42592),x42594)),f331(f331(f331(f72(x42593,f880(x42591)),x42595),x42596),f331(f236(x42591),x42597))),f331(f331(f331(f72(x42593,f880(x42592)),f331(f73(f880(x42591),f880(x42592),x42593,f331(f208(x42591,x42592),x42594)),x42595)),x42596),f331(f236(x42592),f331(x42594,x42597)))) % 159.04/158.75 [4386]E(f331(f270(x43861,x43862,x43863,x43863,x43864,f34(x43863)),f331(f270(x43861,x43861,x43865,x43863,f34(x43861),x43866),x43867)),f331(f331(f265(x43862,x43863),f331(x43864,f331(f264(x43861,x43865),x43867))),f331(x43866,f331(f268(x43861,x43865),x43867)))) % 159.04/158.75 [4387]E(f331(f270(x43871,x43871,x43872,x43873,f34(x43871),x43874),f331(f270(x43875,x43871,x43872,x43872,x43876,f34(x43872)),x43877)),f331(f331(f265(x43871,x43873),f331(x43876,f331(f264(x43875,x43872),x43877))),f331(x43874,f331(f268(x43875,x43872),x43877)))) % 159.04/158.75 [4402]E(f331(f270(x44021,x44022,x44023,x44023,x44024,f34(x44023)),f331(f270(x44025,x44021,x44023,x44023,x44026,f34(x44023)),x44027)),f331(f270(x44025,x44022,x44023,x44023,f331(f73(x44021,x44022,x44025,x44024),x44026),f34(x44023)),x44027)) % 159.04/158.75 [4403]E(f331(f270(x44031,x44031,x44032,x44033,f34(x44031),x44034),f331(f270(x44031,x44031,x44035,x44032,f34(x44031),x44036),x44037)),f331(f270(x44031,x44031,x44035,x44033,f34(x44031),f331(f73(x44032,x44033,x44035,x44034),x44036)),x44037)) % 159.04/158.75 [4412]E(f331(f270(x44121,x44122,x44123,x44123,x44124,f34(x44123)),f331(f270(x44121,x44121,x44125,x44123,f34(x44121),x44126),x44127)),f331(f270(x44122,x44122,x44125,x44123,f34(x44122),x44126),f331(f270(x44121,x44122,x44125,x44125,x44124,f34(x44125)),x44127))) % 159.04/158.75 [4098]E(f331(f331(f287(x40981,x40982,x40983),f331(f331(f287(x40981,x40984,x40982),x40985),x40986)),x40987),f331(f331(f287(x40981,x40984,x40983),x40985),f331(f331(f287(x40984,x40982,x40983),x40986),x40987))) % 159.04/158.75 [4171]E(f331(f331(f269(x41711,x41712,x41713),f331(f73(x41714,f885(x41712,x41713),x41711,x41715),x41716)),x41717),f331(f331(x41715,f331(x41716,f331(f264(x41711,x41712),x41717))),f331(f268(x41711,x41712),x41717))) % 159.04/158.75 [4223]E(f331(f73(x42231,x42232,x42233,x42234),f331(f331(f331(f72(x42233,x42231),x42235),x42236),x42237)),f331(f331(f331(f72(x42233,x42232),f331(f73(x42231,x42232,x42233,x42234),x42235)),x42236),f331(x42234,x42237))) % 159.04/158.75 [4255]E(f331(f141(x42551,x42552,f331(f7(x42552,x42551,x42551),x42553),x42554),f331(f168(x42552),f331(f331(f153(x42555,x42552),x42556),x42557))),f331(f141(x42551,x42555,f331(f7(x42555,x42551,x42551),f331(f73(x42552,f885(x42551,x42551),x42555,x42553),x42556)),x42554),f331(f168(x42555),x42557))) % 159.04/158.75 [4260]E(f318(x42601,f880(x42602),x42603,f331(f73(f880(x42604),f880(x42602),x42601,f331(f208(x42604,x42602),x42605)),x42606),f331(f73(f880(x42604),f880(x42602),x42603,f331(f208(x42604,x42602),x42605)),x42607)),f331(f73(f880(x42604),f880(x42602),f883(x42601,x42603),f331(f208(x42604,x42602),x42605)),f318(x42601,f880(x42604),x42603,x42606,x42607))) % 159.04/158.75 [4199]E(f331(f331(f42(x41991,f885(f884(x41992,x41993),a871)),x41994),f331(f331(f8(f885(f884(x41995,x41993),a871),f885(f884(x41992,x41993),a871),x41991),f331(f287(x41992,x41995,x41993),x41996)),x41997)),f331(f331(f287(x41992,x41995,x41993),x41996),f331(f331(f42(x41991,f885(f884(x41995,x41993),a871)),x41994),x41997))) % 159.04/158.75 [4348]E(f331(f331(f42(x43481,f885(f884(x43482,x43483),a871)),x43484),f331(f331(f7(x43481,f885(f884(x43485,x43483),a871),f885(f884(x43482,x43483),a871)),f331(f331(f8(f885(f884(x43482,x43485),a871),f885(f885(f884(x43485,x43483),a871),f885(f884(x43482,x43483),a871)),x43481),f287(x43482,x43485,x43483)),x43486)),x43487)),f331(f331(f287(x43482,x43485,x43483),f331(f331(f42(x43481,f885(f884(x43482,x43485),a871)),x43484),x43486)),x43487)) % 159.04/158.75 [4349]E(f331(f141(x43491,x43492,f331(f331(f7(x43491,f885(x43492,x43493),f885(x43492,x43491)),f331(f331(f8(f885(x43493,x43491),f885(f885(x43492,x43493),f885(x43492,x43491)),x43491),f8(x43493,x43491,x43492)),x43494)),x43495),x43496),x43497),f331(f141(x43491,x43493,x43494,x43496),f331(f331(f153(x43492,x43493),x43495),x43497))) % 159.04/158.75 [4413]E(f331(f331(f43(x44131,f885(x44132,a871)),x44133),f331(f331(f8(f885(x44134,f885(x44132,a871)),f885(x44132,a871),x44131),f331(f43(x44134,f885(x44132,a871)),x44135)),f331(f331(f7(x44131,f885(x44134,f885(x44132,a871)),f885(x44134,f885(x44132,a871))),f331(f331(f8(f885(f885(x44132,a871),f885(x44132,a871)),f885(f885(x44134,f885(x44132,a871)),f885(x44134,f885(x44132,a871))),x44131),f8(f885(x44132,a871),f885(x44132,a871),x44134)),f331(f331(f8(f885(x44132,a871),f885(f885(x44132,a871),f885(x44132,a871)),x44131),f114(f885(x44132,a871))),x44136))),x44137))),f331(f331(f114(f885(x44132,a871)),f331(f331(f43(x44131,f885(x44132,a871)),x44133),x44136)),f331(f331(f43(x44134,f885(x44132,a871)),x44135),x44137))) % 159.04/158.75 [4414]E(f331(f331(f42(x44141,f885(x44142,a871)),x44143),f331(f331(f8(f885(x44144,f885(x44142,a871)),f885(x44142,a871),x44141),f331(f42(x44144,f885(x44142,a871)),x44145)),f331(f331(f7(x44141,f885(x44144,f885(x44142,a871)),f885(x44144,f885(x44142,a871))),f331(f331(f8(f885(f885(x44142,a871),f885(x44142,a871)),f885(f885(x44144,f885(x44142,a871)),f885(x44144,f885(x44142,a871))),x44141),f8(f885(x44142,a871),f885(x44142,a871),x44144)),f331(f331(f8(f885(x44142,a871),f885(f885(x44142,a871),f885(x44142,a871)),x44141),f105(f885(x44142,a871))),x44146))),x44147))),f331(f331(f105(f885(x44142,a871)),f331(f331(f42(x44141,f885(x44142,a871)),x44143),x44146)),f331(f331(f42(x44144,f885(x44142,a871)),x44145),x44147))) % 159.04/158.75 [4407]E(f206(x44071,x44072,f331(f331(f331(x44073,x44074),x44075),x44076),f331(f331(f7(x44071,f884(a103,a103),f885(a103,f878(x44072))),f331(f331(f7(x44071,a103,f885(f884(a103,a103),f885(a103,f878(x44072)))),f331(f331(f7(x44071,a103,f885(a103,f885(f884(a103,a103),f885(a103,f878(x44072))))),x44077),x44074)),x44075)),x44076)),f331(f331(f331(f218(x44071,x44072,x44073,x44077),x44074),x44075),x44076)) % 159.04/158.75 [4420]E(f207(x44201,x44202,f331(f331(f331(x44203,x44204),x44205),x44206),f331(f331(f7(x44201,f884(a103,a103),f885(a103,f878(x44202))),f331(f331(f7(x44201,a103,f885(f884(a103,a103),f885(a103,f878(x44202)))),f331(f331(f7(x44201,a103,f885(a103,f885(f884(a103,a103),f885(a103,f878(x44202))))),x44207),x44204)),x44205)),x44206)),f220(x44201,x44202,x44203,x44207,x44204,x44205,x44206)) % 159.04/158.75 [4411]E(f204(x44111,x44112,f331(f331(f331(x44113,x44114),x44115),x44116),f331(f331(f7(x44111,f884(a103,a103),f885(a103,f878(f880(x44112)))),f331(f331(f7(x44111,a103,f885(f884(a103,a103),f885(a103,f878(f880(x44112))))),f331(f331(f7(x44111,a103,f885(a103,f885(f884(a103,a103),f885(a103,f878(f880(x44112)))))),x44117),x44114)),x44115)),x44116)),f331(f331(f331(f214(x44111,x44112,x44113,x44117),x44114),x44115),x44116)) % 159.04/158.75 [4422]E(f205(x44221,x44222,f331(f331(f331(x44223,x44224),x44225),x44226),f331(f331(f7(x44221,f884(a103,a103),f885(a103,f878(f880(x44222)))),f331(f331(f7(x44221,a103,f885(f884(a103,a103),f885(a103,f878(f880(x44222))))),f331(f331(f7(x44221,a103,f885(a103,f885(f884(a103,a103),f885(a103,f878(f880(x44222)))))),x44227),x44224)),x44225)),x44226)),f216(x44221,x44222,x44223,x44227,x44224,x44225,x44226)) % 159.04/158.75 [4320]E(f331(f270(x43201,x43202,x43203,x43204,x43205,x43206),f331(f331(f265(x43201,x43203),x43207),x43208)),f331(f331(f265(x43202,x43204),f331(x43205,x43207)),f331(x43206,x43208))) % 159.04/158.75 [4424]E(f331(f331(f153(f884(x44241,x44242),f884(x44243,x44244)),f331(f269(x44241,x44242,f884(x44243,x44244)),f331(f331(f7(x44241,f885(x44242,x44244),f885(x44242,f884(x44243,x44244))),f331(f331(f8(f885(x44244,f884(x44243,x44244)),f885(f885(x44242,x44244),f885(x44242,f884(x44243,x44244))),x44241),f8(x44244,f884(x44243,x44244),x44242)),f331(f331(f8(x44243,f885(x44244,f884(x44243,x44244)),x44241),f265(x44243,x44244)),x44245))),x44246))),f331(f331(f182(x44241,x44242),x44247),x44248)),f331(f331(f182(x44243,x44244),f331(f331(f153(x44241,x44243),x44245),x44247)),f331(f331(f153(x44242,x44244),x44246),x44248))) % 159.04/158.75 [4428]E(f331(f331(f153(f884(x44281,x44282),x44283),f331(f269(x44281,x44282,x44283),f331(f331(f8(f885(x44282,f884(x44281,x44284)),f885(x44282,x44283),x44281),f331(f8(f884(x44281,x44284),x44283,x44282),x44285)),f331(f331(f7(x44281,f885(x44282,x44284),f885(x44282,f884(x44281,x44284))),f331(f331(f8(f885(x44284,f884(x44281,x44284)),f885(f885(x44282,x44284),f885(x44282,f884(x44281,x44284))),x44281),f8(x44284,f884(x44281,x44284),x44282)),f265(x44281,x44284))),x44286)))),f331(f331(f182(x44281,x44282),x44287),x44288)),f331(f331(f153(f884(x44281,x44284),x44283),x44285),f331(f331(f182(x44281,x44284),x44287),f331(f331(f153(x44282,x44284),x44286),x44288)))) % 159.04/158.75 [4353]E(f331(f331(f153(f884(x43531,x43532),x43533),f331(f269(x43531,x43532,x43533),f331(f331(f8(f885(x43532,f884(x43534,x43532)),f885(x43532,x43533),x43531),f331(f8(f884(x43534,x43532),x43533,x43532),x43535)),f331(f331(f8(x43534,f885(x43532,f884(x43534,x43532)),x43531),f265(x43534,x43532)),x43536)))),f331(f331(f182(x43531,x43532),x43537),x43538)),f331(f331(f153(f884(x43534,x43532),x43533),x43535),f331(f331(f182(x43534,x43532),f331(f331(f153(x43531,x43534),x43536),x43537)),x43538))) % 159.04/158.75 [4311]E(f331(f331(f269(x43111,x43112,x43113),f331(f331(f8(f885(x43112,f884(x43114,x43115)),f885(x43112,x43113),x43111),f331(f8(f884(x43114,x43115),x43113,x43112),f331(f269(x43114,x43115,x43113),x43116))),x43117)),x43118),f331(f331(f269(x43114,x43115,x43113),x43116),f331(f331(f269(x43111,x43112,f884(x43114,x43115)),x43117),x43118))) % 159.04/158.75 [4429]E(f331(f331(f42(f884(x44291,x44292),f885(f884(x44293,x44294),a871)),f331(f331(f267(x44291,x44292),x44295),f331(f16(f885(x44292,a871),x44291),x44296))),f331(f269(x44291,x44292,f885(f884(x44293,x44294),a871)),f331(f331(f7(x44291,f885(x44292,f885(x44293,f885(x44294,a871))),f885(x44292,f885(f884(x44293,x44294),a871))),f331(f331(f8(f885(f885(x44293,f885(x44294,a871)),f885(f884(x44293,x44294),a871)),f885(f885(x44292,f885(x44293,f885(x44294,a871))),f885(x44292,f885(f884(x44293,x44294),a871))),x44291),f8(f885(x44293,f885(x44294,a871)),f885(f884(x44293,x44294),a871),x44292)),f331(f331(f8(f885(x44293,a871),f885(f885(x44293,f885(x44294,a871)),f885(f884(x44293,x44294),a871)),x44291),f267(x44293,x44294)),x44297))),f331(f331(f8(f885(x44294,a871),f885(x44293,f885(x44294,a871)),x44292),f16(f885(x44294,a871),x44293)),x44298)))),f331(f331(f267(x44293,x44294),f331(f331(f42(x44291,f885(x44293,a871)),x44295),x44297)),f331(f16(f885(x44294,a871),x44293),f331(f331(f42(x44292,f885(x44294,a871)),x44296),x44298)))) % 159.04/158.75 [4367]E(f331(f331(f271(x43671,x43672,x43673,x43674),f331(f331(f271(x43671,x43675,x43676,f884(x43672,x43673)),x43677),x43678)),x43679),f331(f331(f271(x43671,x43675,x43676,x43674),x43677),f331(f331(f7(x43675,f885(x43672,f885(x43673,x43674)),f885(x43676,x43674)),f331(f331(f8(f885(x43676,f884(x43672,x43673)),f885(f885(x43672,f885(x43673,x43674)),f885(x43676,x43674)),x43675),f271(x43676,x43672,x43673,x43674)),x43678)),x43679))) % 159.04/158.75 [4399]E(f331(f73(f884(x43991,x43992),f884(x43993,x43994),f884(x43995,x43996),f270(x43991,x43993,x43992,x43994,x43997,x43998)),f270(x43995,x43991,x43996,x43992,x43999,x439910)),f270(x43995,x43993,x43996,x43994,f331(f73(x43991,x43993,x43995,x43997),x43999),f331(f73(x43992,x43994,x43996,x43998),x439910))) % 159.04/158.75 [4405]E(f331(f270(x44051,x44052,x44053,x44054,x44055,x44056),f331(f270(x44057,x44051,x44058,x44053,x44059,x440510),x440511)),f331(f270(x44057,x44052,x44058,x44054,f331(f73(x44051,x44052,x44057,x44055),x44059),f331(f73(x44053,x44054,x44058,x44056),x440510)),x440511)) % 159.04/158.75 [6461]P4(a5000)+P104(f331(f331(f333(f884(a874,a873)),a565),f331(f172(f884(a874,a873)),a27))) % 159.04/158.75 [8466]P4(a5000)+~P104(f331(f331(f269(a874,a873,a871),f331(f16(f885(a873,a871),a874),a25)),a565)) % 159.04/158.75 [4572]~P94(x45721)+E(f91(x45721),a328) % 159.04/158.75 [4573]~P25(x45731)+P25(f880(x45731)) % 159.04/158.75 [4574]~P58(x45741)+P58(f880(x45741)) % 159.04/158.75 [4575]~P102(x45751)+P102(f877(x45751)) % 159.04/158.75 [4578]~P142(x45781)+~E(f78(x45781),f2(x45781)) % 159.04/158.75 [4580]~E(x45801,f2(a103))+E(f331(a20,x45801),f2(a1)) % 159.04/158.75 [4581]~E(x45811,f2(a1))+E(f82(a1,x45811),f2(a1)) % 159.04/158.75 [4588]~P143(x45881)+P32(x45881,f2(x45881)) % 159.04/158.75 [4590]~P107(x45901)+P30(x45901,f117(x45901)) % 159.04/158.75 [4600]P104(x46001)+P104(f331(a326,x46001)) % 159.04/158.75 [4643]~P143(x46431)+~P32(x46431,f78(x46431)) % 159.04/158.75 [4690]~P104(x46901)+~P104(f331(a326,x46901)) % 159.04/158.75 [4713]E(f331(a108,x47131),f2(a876))+~P104(f331(a200,x47131)) % 159.04/158.75 [4779]~P99(x47791)+P11(x47791,x47791,f114(x47791)) % 159.04/158.75 [4780]~P100(x47801)+P11(x47801,x47801,f105(x47801)) % 159.04/158.75 [4781]~P95(x47811)+P11(x47811,x47811,f81(x47811)) % 159.04/158.75 [4782]~P107(x47821)+P11(x47821,x47821,f242(x47821)) % 159.04/158.75 [4783]~P107(x47831)+P11(x47831,x47831,f243(x47831)) % 159.04/158.75 [4784]~P66(x47841)+P12(x47841,x47841,f81(x47841)) % 159.04/158.75 [4585]~E(x45851,f2(a876))+E(f331(f104(a1),x45851),f2(a1)) % 159.04/158.75 [4593]~P92(x45931)+E(f331(f107(x45931),a83),f2(x45931)) % 159.04/158.75 [4596]~E(f538(x45961),f2(a876))+E(f331(f165(a876),x45961),f2(a876)) % 159.04/158.75 [4597]~P106(x45971)+E(f246(x45971,f244(x45971)),f242(x45971)) % 159.04/158.75 [4598]~P106(x45981)+E(f247(x45981,f244(x45981)),f243(x45981)) % 159.04/158.75 [4599]~P88(x45991)+E(f82(x45991,f2(x45991)),f2(x45991)) % 159.04/158.75 [4608]~P143(x46081)+E(f331(f104(x46081),f78(a876)),f78(x46081)) % 159.04/158.75 [4609]~P143(x46091)+E(f331(f104(x46091),f2(a876)),f2(x46091)) % 159.04/158.75 [4610]~P138(x46101)+E(f331(f106(x46101),f78(a1)),f78(x46101)) % 159.04/158.75 [4611]~P138(x46111)+E(f331(f106(x46111),f2(a1)),f2(x46111)) % 159.04/158.75 [4612]E(x46121,f2(a876))+~E(f331(f104(a1),x46121),f2(a1)) % 159.04/158.75 [4637]~P81(x46371)+E(f331(f79(x46371),f194(x46371)),f253(x46371)) % 159.04/158.75 [4638]~P81(x46381)+E(f331(f79(x46381),f253(x46381)),f194(x46381)) % 159.04/158.75 [4639]~P65(x46391)+E(f331(f79(x46391),f2(x46391)),f2(x46391)) % 159.04/158.75 [4640]~P119(x46401)+E(f331(f75(x46401),f78(x46401)),f78(x46401)) % 159.04/158.75 [4641]~P86(x46411)+E(f331(f75(x46411),f2(x46411)),f2(x46411)) % 159.04/158.75 [4642]~P80(x46421)+E(f331(f165(x46421),f117(x46421)),f2(x46421)) % 159.04/158.75 [4663]~P38(x46631)+P41(f331(f172(a1),x46631)) % 159.04/158.75 [4695]~P92(x46951)+E(f331(f79(x46951),f78(x46951)),f331(f107(x46951),a101)) % 159.04/158.75 [4712]~P92(x47121)+P32(x47121,f331(f107(x47121),a83)) % 159.04/158.75 [4729]~P58(x47291)+E(f331(f172(x47291),f56(x47291)),f253(f885(x47291,a871))) % 159.04/158.75 [4739]P38(x47391)+~P41(f331(f172(a1),x47391)) % 159.04/158.75 [4740]~P58(x47401)+P104(f331(f136(x47401),f56(x47401))) % 159.04/158.75 [4785]E(f331(f104(a1),f331(a108,x47851)),x47851)+P104(f331(a200,x47851)) % 159.04/158.75 [4802]~P106(x48021)+E(f93(x48021,x48021,f5(x48021)),f94(x48021)) % 159.04/158.75 [4855]~P112(x48551)+E(f256(x48551,f78(x48551),f81(x48551)),f255(x48551)) % 159.04/158.75 [4885]~P92(x48851)+~P32(x48851,f331(f107(x48851),a101)) % 159.04/158.75 [4896]E(f331(a26,x48961),f197(a873))+P104(f331(a25,f331(a28,x48961))) % 159.04/158.75 [5028]E(f331(f75(a1),x50281),x50281)+P104(f331(f331(f245(a1),x50281),f2(a1))) % 159.04/158.75 [5049]~E(f331(a108,x50491),f2(a876))+P104(f331(f331(f244(a1),x50491),f2(a1))) % 159.04/158.75 [5109]~P104(f331(a200,x51091))+P104(f331(f331(f245(a1),x51091),f2(a1))) % 159.04/158.75 [5149]~P138(x51491)+P104(f331(f331(f333(x51491),f78(x51491)),f113(x51491))) % 159.04/158.75 [5150]~P143(x51501)+P104(f331(f331(f333(x51501),f78(x51501)),f192(x51501))) % 159.04/158.75 [5151]~P138(x51511)+P104(f331(f331(f333(x51511),f2(x51511)),f113(x51511))) % 159.04/158.75 [5152]~P143(x51521)+P104(f331(f331(f333(x51521),f2(x51521)),f192(x51521))) % 159.04/158.75 [5153]~P122(x51531)+P104(f331(f331(f244(x51531),f2(x51531)),f78(x51531))) % 159.04/158.75 [5154]~P122(x51541)+P104(f331(f331(f245(x51541),f2(x51541)),f78(x51541))) % 159.04/158.75 [5157]E(f331(f236(a873),f853(x51571)),f331(a26,x51571))+~P104(f331(a25,f331(a28,x51571))) % 159.04/158.75 [5158]E(f331(f236(a873),f371(x51581)),f331(a26,x51581))+~P104(f331(a25,f331(a28,x51581))) % 159.04/158.75 [5213]E(x52131,f2(a876))+~P104(f331(f331(f244(a876),x52131),f2(a876))) % 159.04/158.75 [5257]E(f331(a108,x52571),f2(a876))+~P104(f331(f331(f244(a1),x52571),f2(a1))) % 159.04/158.75 [5318]P104(f331(a200,x53181))+~P104(f331(f331(f245(a1),x53181),f2(a1))) % 159.04/158.75 [5323]~P107(x53231)+P12(x53231,f877(x53231),f147(x53231,x53231,f5(x53231))) % 159.04/158.75 [5341]P41(x53411)+~P104(f331(f331(f244(a1),f2(a1)),f338(x53411))) % 159.04/158.75 [5347]E(f331(f75(a1),x53471),f331(f79(a1),x53471))+~P104(f331(f331(f245(a1),x53471),f2(a1))) % 159.04/158.75 [5521]~P122(x55211)+~P104(f331(f331(f244(x55211),f78(x55211)),f2(x55211))) % 159.04/158.75 [5522]~P122(x55221)+~P104(f331(f331(f245(x55221),f78(x55221)),f2(x55221))) % 159.04/158.75 [5532]~E(x55321,f2(a876))+P104(f331(f331(f244(a1),f331(f104(a1),x55321)),f2(a1))) % 159.04/158.75 [5533]~E(x55331,f2(a1))+P104(f331(f331(f245(a1),f331(f75(a1),x55331)),f78(a1))) % 159.04/158.75 [5652]~P80(x56521)+E(f141(x56521,x56521,f80(x56521),f2(x56521)),f165(x56521)) % 159.04/158.75 [5824]~P101(x58241)+P21(a876,x58241,f104(x58241),f253(f885(a876,a871))) % 159.04/158.75 [6021]E(x60211,f2(a876))+~P104(f331(f331(f244(a1),f331(f104(a1),x60211)),f2(a1))) % 159.04/158.75 [6022]E(x60221,f2(a1))+~P104(f331(f331(f245(a1),f331(f75(a1),x60221)),f78(a1))) % 159.04/158.75 [6817]~P104(f331(f331(f245(a1),x68171),f2(a1)))+P104(f331(f331(f245(a1),f331(f331(f80(a1),x68171),x68171)),f2(a1))) % 159.04/158.75 [7366]P104(f331(f331(f245(a1),x73661),f2(a1)))+~P104(f331(f331(f245(a1),f331(f331(f80(a1),x73661),x73661)),f2(a1))) % 159.04/158.75 [7920]E(x79201,f331(a3,f2(a876)))+P104(f331(f331(f245(a876),f331(f331(f22(a876),f331(a19,x79201)),f331(a116,f2(a876)))),f331(a19,x79201))) % 159.04/158.75 [8689]~P104(f331(f331(f245(a1),x86891),f2(a1)))+P104(f331(f331(f245(a1),f331(f331(f22(a1),f331(f331(f80(a1),x86891),x86891)),a101)),f2(a1))) % 159.04/158.75 [8775]~P104(f331(f331(f245(a1),x87751),f2(a1)))+P104(f331(f331(f245(a1),f331(f331(f80(a1),f331(f331(f80(a1),f78(a1)),x87751)),x87751)),f2(a1))) % 159.04/158.75 [9099]P104(f331(f331(f245(a1),x90991),f2(a1)))+~P104(f331(f331(f245(a1),f331(f331(f22(a1),f331(f331(f80(a1),x90991),x90991)),a101)),f2(a1))) % 159.04/158.75 [9162]P104(f331(f331(f245(a1),x91621),f2(a1)))+~P104(f331(f331(f245(a1),f331(f331(f80(a1),f331(f331(f80(a1),f78(a1)),x91621)),x91621)),f2(a1))) % 159.04/158.75 [4683]~E(a83,x46831)+E(f331(f331(f80(a1),x46831),x46831),a83) % 159.04/158.75 [4684]~E(x46841,a83)+E(f331(f331(f80(a1),x46841),x46841),a83) % 159.04/158.75 [4698]E(x46981,f2(a1))+E(f331(f331(f39(a1),x46981),x46981),f78(a1)) % 159.04/158.75 [4831]E(x48311,a83)+~E(f331(f331(f80(a1),x48311),x48311),a83) % 159.04/158.75 [4832]E(a83,x48321)+~E(f331(f331(f80(a1),x48321),x48321),a83) % 159.04/158.75 [4845]~P107(x48451)+E(f138(x48451,f194(f885(x48451,a871))),f117(x48451)) % 159.04/158.75 [4846]~P28(x48461)+E(f40(x48461,f194(f885(x48461,a871))),f194(x48461)) % 159.04/158.75 [4847]~P28(x48471)+E(f40(x48471,f253(f885(x48471,a871))),f253(x48471)) % 159.04/158.75 [4848]~P28(x48481)+E(f41(x48481,f194(f885(x48481,a871))),f253(x48481)) % 159.04/158.75 [4849]~P28(x48491)+E(f41(x48491,f253(f885(x48491,a871))),f194(x48491)) % 159.04/158.75 [4987]E(x49871,f2(a876))+P104(f331(f331(f245(a876),f2(a876)),x49871)) % 159.04/158.75 [5006]~P29(x50061)+P104(f331(f331(f244(a1),f2(a1)),x50061)) % 159.04/158.75 [5040]~E(f331(f107(a876),x50401),f2(a876))+P104(f331(f331(f244(a1),x50401),a83)) % 159.04/158.75 [5045]P41(x50451)+P104(f331(f331(f333(a1),f338(x50451)),x50451)) % 159.04/158.75 [5046]E(x50461,f331(a3,f2(a876)))+P104(f331(f331(f244(a103),f78(a103)),x50461)) % 159.04/158.75 [5083]P104(f331(a200,x50831))+P104(f331(f331(f244(a1),f2(a1)),x50831)) % 159.04/158.75 [5131]E(f331(f104(a1),f331(a108,x51311)),f2(a1))+P104(f331(f331(f244(a1),f2(a1)),x51311)) % 159.04/158.75 [5199]E(f331(f104(a1),f331(f107(a876),x51991)),f331(f107(a1),x51991))+P104(f331(a200,f331(f107(a1),x51991))) % 159.04/158.75 [5219]E(f331(f107(a876),x52191),f2(a876))+~P104(f331(a200,f331(f107(a1),x52191))) % 159.04/158.75 [5220]E(f331(f107(a876),x52201),f2(a876))+~P104(f331(f331(f244(a1),x52201),a83)) % 159.04/158.75 [5254]P29(x52541)+~P104(f331(f331(f244(a1),f2(a1)),x52541)) % 159.04/158.75 [5326]E(f331(a116,f340(x53261)),x53261)+~P104(f331(f331(f245(a876),f2(a876)),x53261)) % 159.04/158.75 [5335]E(f331(a116,f331(f107(a876),x53351)),f78(a876))+~P104(f331(a200,f331(f107(a1),x53351))) % 159.04/158.75 [5343]E(f331(f104(a1),f415(x53431)),x53431)+~P104(f331(f331(f245(a1),f2(a1)),x53431)) % 159.04/158.75 [5351]~E(x53511,f331(a3,f2(a876)))+~P104(f331(f331(f244(a103),f78(a103)),x53511)) % 159.04/158.75 [5358]E(f331(f104(a1),f331(f107(a876),x53581)),f2(a1))+~P104(f331(a200,f331(f107(a1),x53581))) % 159.04/158.75 [5384]E(f331(f165(a876),x53841),f2(a876))+P104(f331(f331(f333(a876),f538(x53841)),f331(f172(a876),x53841))) % 159.04/158.75 [5405]E(f331(f104(a1),f331(a108,x54051)),x54051)+~P104(f331(f331(f244(a1),f2(a1)),x54051)) % 159.04/158.75 [5414]~P104(f331(a200,x54141))+~P104(f331(f331(f244(a1),f2(a1)),x54141)) % 159.04/158.75 [5514]E(f331(f331(f80(a876),f78(a876)),f331(f107(a876),x55141)),f78(a876))+~P104(f331(f331(f245(a1),x55141),a83)) % 159.04/158.75 [5572]E(x55721,f2(a876))+~P104(f331(f331(f245(a876),x55721),f331(a116,f2(a876)))) % 159.04/158.75 [5611]E(f331(f331(f22(a876),f331(f107(a876),x56111)),f78(a876)),f2(a876))+~P104(f331(f331(f244(a1),x56111),a83)) % 159.04/158.75 [5612]E(f331(f331(f80(a876),f331(f107(a876),x56121)),f78(a876)),f78(a876))+~P104(f331(f331(f245(a1),x56121),a83)) % 159.04/158.75 [5622]~P41(x56221)+E(f331(f38(a876),f331(f309(a1,a876,a108),x56221)),f331(f38(a1),x56221)) % 159.04/158.75 [5653]~P107(x56531)+E(f247(x56531,f331(f7(x56531,x56531,a871),f244(x56531))),f242(x56531)) % 159.04/158.75 [5654]~P107(x56541)+E(f246(x56541,f331(f7(x56541,x56541,a871),f244(x56541))),f243(x56541)) % 159.04/158.75 [5664]E(f45(a876,f331(a116,f2(a876)),f331(f107(a876),x56641)),f331(a116,f2(a876)))+~P104(f331(a200,f331(f107(a1),x56641))) % 159.04/158.75 [5673]~P104(f331(f331(f245(a1),f2(a1)),x56731))+P104(f331(f331(f244(a1),f78(a1)),x56731)) % 159.04/158.75 [5674]P104(f331(f331(f245(a1),f2(a1)),x56741))+~P104(f331(f331(f244(a1),f78(a1)),x56741)) % 159.04/158.75 [5685]E(f331(a116,f331(f331(f22(a876),x56851),f78(a876))),x56851)+~P104(f331(f331(f245(a876),f2(a876)),x56851)) % 159.04/158.75 [5743]P104(f331(f331(f245(a876),f2(a876)),f415(x57431)))+~P104(f331(f331(f245(a1),f2(a1)),x57431)) % 159.04/158.75 [5802]E(f45(a1,f331(f107(a1),a101),x58021),f331(f331(f22(a1),x58021),f78(a1)))+~P104(f331(f331(f245(a1),f2(a1)),x58021)) % 159.04/158.75 [5836]~P104(f331(f331(f245(a1),a83),x58361))+P104(f331(f331(f245(a876),f2(a876)),f331(f107(a876),x58361))) % 159.04/158.75 [5886]P104(f331(f331(f245(a876),f2(a876)),f331(a108,x58861)))+~P104(f331(f331(f245(a1),f2(a1)),x58861)) % 159.04/158.75 [5938]~P104(f331(f331(f245(a876),f2(a876)),x59381))+P104(f331(f331(f245(a1),f2(a1)),f331(f104(a1),x59381))) % 159.04/158.75 [5976]~P104(f331(f331(f245(a876),f2(a876)),f331(a108,x59761)))+P104(f331(f331(f245(a1),f2(a1)),x59761)) % 159.04/158.75 [5991]~P41(x59911)+E(f331(f309(a876,a1,f104(a1)),f331(f309(a1,a876,a108),x59911)),x59911) % 159.04/158.75 [6002]P104(f331(f331(f245(a1),a83),x60021))+~P104(f331(f331(f245(a876),f2(a876)),f331(f107(a876),x60021))) % 159.04/158.75 [6050]~P58(x60501)+E(f331(f331(f150(f880(x60501)),f197(x60501)),f331(f331(f153(x60501,f880(x60501)),f236(x60501)),f56(x60501))),f56(f880(x60501))) % 159.04/158.75 [6061]P104(f331(f331(f245(a876),f2(a876)),x60611))+~P104(f331(f331(f245(a1),f2(a1)),f331(f104(a1),x60611))) % 159.04/158.75 [6176]E(f331(f309(a876,a1,f104(a1)),f331(f251(a876),f331(a108,x61761))),f331(f300(a1,f2(a1)),x61761))+~P104(f331(f331(f244(a1),f2(a1)),x61761)) % 159.04/158.75 [6190]~P122(x61901)+P104(f331(f331(f245(x61901),f2(x61901)),f331(f331(f80(x61901),f78(x61901)),f78(x61901)))) % 159.04/158.75 [6241]P104(f331(f331(f245(a876),f331(a116,f2(a876))),f331(a108,x62411)))+~P104(f331(f331(f245(a1),f78(a1)),x62411)) % 159.04/158.75 [6336]E(x63361,f2(a1))+P104(f331(f49(f2(a1),x63361),f331(f331(f265(a1,a1),f2(a1)),f2(a1)))) % 159.04/158.75 [6500]~P104(f331(f331(f245(a876),f331(a116,f2(a876))),f331(a108,x65001)))+P104(f331(f331(f245(a1),f78(a1)),x65001)) % 159.04/158.75 [6929]~P113(x69291)+P39(x69291,f331(f250(f884(x69291,x69291)),f331(f269(x69291,x69291,a871),f245(x69291)))) % 159.04/158.75 [5559]E(f331(f107(a876),f331(f331(f22(a1),x55591),a101)),f331(a116,f331(f107(a876),x55591)))+P104(f331(a200,f331(f107(a1),x55591))) % 159.04/158.75 [5575]~P38(x55751)+E(f331(f331(f153(a876,a1),f104(a1)),f331(f331(f153(a1,a876),a108),x55751)),x55751) % 159.04/158.75 [5691]E(f331(f79(a1),f331(f104(a1),f331(a116,f376(x56911)))),x56911)+~P104(f331(f331(f245(a1),x56911),f2(a1))) % 159.04/158.75 [5701]E(f331(f331(f80(a876),f78(a876)),f331(f107(a876),x57011)),f331(f107(a876),f331(f331(f22(a1),x57011),a101)))+P104(f331(f331(f245(a1),x57011),a83)) % 159.04/158.75 [5745]E(f331(f331(f39(a1),f331(f107(a1),a101)),x57451),f331(f107(a1),a101))+~P104(f331(f331(f245(a1),f2(a1)),x57451)) % 159.04/158.75 [5832]E(f331(f331(f22(a876),f331(f107(a876),x58321)),f78(a876)),f331(f107(a876),f331(f331(f80(a1),x58321),a101)))+P104(f331(f331(f244(a1),x58321),a83)) % 159.04/158.75 [5833]E(f331(f331(f80(a876),f331(f107(a876),x58331)),f78(a876)),f331(f107(a876),f331(f331(f22(a1),x58331),a101)))+P104(f331(f331(f245(a1),x58331),a83)) % 159.04/158.75 [5874]E(f331(a108,f331(f331(f80(a1),f78(a1)),x58741)),f331(a116,f331(a108,x58741)))+~P104(f331(f331(f244(a1),f2(a1)),x58741)) % 159.04/158.75 [5910]E(f331(a116,f331(f331(f22(a876),x59101),f331(a116,f2(a876)))),x59101)+~P104(f331(f331(f245(a876),f2(a876)),x59101)) % 159.04/158.75 [6121]E(f45(a876,f331(a116,f2(a876)),f331(f107(a876),x61211)),f331(a108,f45(a1,f78(a1),f331(f107(a1),x61211))))+P104(f331(a200,f331(f107(a1),x61211))) % 159.04/158.75 [6166]~P104(f331(f331(f244(a1),a83),x61661))+P104(f331(f331(f244(a1),a83),f331(f331(f80(a1),x61661),x61661))) % 159.04/158.75 [6167]~P104(f331(f331(f245(a1),a101),x61671))+P104(f331(f331(f244(a1),a101),f331(f331(f80(a1),x61671),x61671))) % 159.04/158.75 [6168]~P104(f331(f331(f245(a1),a83),x61681))+P104(f331(f331(f245(a1),a83),f331(f331(f80(a1),x61681),x61681))) % 159.04/158.75 [6169]~P104(f331(f331(f245(a1),a101),x61691))+P104(f331(f331(f245(a1),a101),f331(f331(f80(a1),x61691),x61691))) % 159.04/158.75 [6170]~P104(f331(f331(f91(a1),a83),x61701))+P104(f331(f331(f91(a1),a83),f331(f331(f80(a1),x61701),x61701))) % 159.04/158.75 [6349]~P104(f331(f62(x63491),f253(f885(x63491,a871))))+P104(f331(f62(f880(x63491)),f253(f885(f880(x63491),a871)))) % 159.04/158.75 [6433]~P104(f331(f331(f244(a1),f2(a1)),x64331))+P104(f331(f331(f245(a1),f2(a1)),f331(f331(f80(a1),f78(a1)),x64331))) % 159.04/158.75 [6440]E(f331(f264(a1,a1),f47(f78(a1),f331(f107(a1),x64401))),f331(f331(f39(a1),f78(a1)),f331(f107(a1),x64401)))+~P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),x64401))) % 159.04/158.75 [6460]E(f331(f268(a1,a1),f47(f78(a1),f331(f107(a1),x64601))),f45(a1,f78(a1),f331(f107(a1),x64601)))+~P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),x64601))) % 159.04/158.75 [6472]P104(f331(f62(x64721),f253(f885(x64721,a871))))+~P104(f331(f62(f880(x64721)),f253(f885(f880(x64721),a871)))) % 159.04/158.75 [6501]P104(f331(f331(f244(a1),a83),x65011))+~P104(f331(f331(f244(a1),a83),f331(f331(f80(a1),x65011),x65011))) % 159.04/158.75 [6502]P104(f331(f331(f245(a1),a83),x65021))+~P104(f331(f331(f245(a1),a83),f331(f331(f80(a1),x65021),x65021))) % 159.04/158.75 [6503]P104(f331(f331(f245(a1),a101),x65031))+~P104(f331(f331(f244(a1),a101),f331(f331(f80(a1),x65031),x65031))) % 159.04/158.75 [6504]P104(f331(f331(f245(a1),a101),x65041))+~P104(f331(f331(f245(a1),a101),f331(f331(f80(a1),x65041),x65041))) % 159.04/158.75 [6505]P104(f331(f331(f91(a1),a83),x65051))+~P104(f331(f331(f91(a1),a83),f331(f331(f80(a1),x65051),x65051))) % 159.04/158.75 [6821]~P104(f331(f62(x68211),f253(f885(x68211,a871))))+P104(f331(f331(f245(a876),f2(a876)),f331(f38(x68211),f253(f885(x68211,a871))))) % 159.04/158.75 [7408]P104(f331(f62(a876),x74081))+~P104(f331(f62(a1),f331(f309(a876,a1,f104(a1)),x74081))) % 159.04/158.75 [8808]P20(a872,a886,f331(f331(f308(f875(a872)),f331(f331(f331(f92(a872),a328),f331(a28,x88081)),f201(f331(a28,x88081)))),f194(f885(f875(a872),a871))))+~P104(f331(f331(f333(a874),x88081),f184(a874,a873,a26))) % 159.04/158.75 [5489]~E(a101,x54891)+E(f331(f331(f22(a1),f331(f331(f80(a1),x54891),x54891)),a101),a101) % 159.04/158.75 [5490]~E(x54901,a101)+E(f331(f331(f22(a1),f331(f331(f80(a1),x54901),x54901)),a101),a101) % 159.04/158.75 [5997]E(x59971,a101)+~E(f331(f331(f22(a1),f331(f331(f80(a1),x59971),x59971)),a101),a101) % 159.04/158.75 [5998]E(a101,x59981)+~E(f331(f331(f22(a1),f331(f331(f80(a1),x59981),x59981)),a101),a101) % 159.04/158.75 [6402]~E(f331(f107(a876),x64021),f2(a876))+P104(f331(a200,f331(f107(a1),f331(f331(f80(a1),x64021),a101)))) % 159.04/158.75 [6748]~P104(f331(a200,f331(f107(a1),x67481)))+P104(f331(a200,f331(f107(a1),f331(f331(f80(a1),x67481),x67481)))) % 159.04/158.75 [6749]~P104(f331(f331(f244(a1),x67491),a83))+P104(f331(f331(f244(a1),f331(f331(f80(a1),x67491),x67491)),a83)) % 159.04/158.75 [6750]~P104(f331(f331(f244(a1),x67501),a101))+P104(f331(f331(f244(a1),f331(f331(f80(a1),x67501),x67501)),a101)) % 159.04/158.75 [6751]~P104(f331(f331(f245(a1),x67511),a83))+P104(f331(f331(f245(a1),f331(f331(f80(a1),x67511),x67511)),a83)) % 159.04/158.75 [6752]~P104(f331(f331(f244(a1),x67521),a101))+P104(f331(f331(f245(a1),f331(f331(f80(a1),x67521),x67521)),a101)) % 159.04/158.75 [6753]~P104(f331(f331(f91(a1),x67531),a83))+P104(f331(f331(f91(a1),f331(f331(f80(a1),x67531),x67531)),a83)) % 159.04/158.75 [7076]E(f331(f107(a876),x70761),f2(a876))+~P104(f331(a200,f331(f107(a1),f331(f331(f80(a1),x70761),a101)))) % 159.04/158.75 [7315]~P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),x73151)))+P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),f331(f331(f80(a1),x73151),x73151)))) % 159.04/158.75 [7316]P104(f331(a200,f331(f107(a1),x73161)))+~P104(f331(a200,f331(f107(a1),f331(f331(f80(a1),x73161),x73161)))) % 159.04/158.75 [7317]P104(f331(f331(f244(a1),x73171),a83))+~P104(f331(f331(f244(a1),f331(f331(f80(a1),x73171),x73171)),a83)) % 159.04/158.75 [7318]P104(f331(f331(f244(a1),x73181),a101))+~P104(f331(f331(f244(a1),f331(f331(f80(a1),x73181),x73181)),a101)) % 159.04/158.75 [7319]P104(f331(f331(f244(a1),x73191),a101))+~P104(f331(f331(f245(a1),f331(f331(f80(a1),x73191),x73191)),a101)) % 159.04/158.75 [7320]P104(f331(f331(f245(a1),x73201),a83))+~P104(f331(f331(f245(a1),f331(f331(f80(a1),x73201),x73201)),a83)) % 159.04/158.75 [7321]P104(f331(f331(f91(a1),x73211),a83))+~P104(f331(f331(f91(a1),f331(f331(f80(a1),x73211),x73211)),a83)) % 159.04/158.75 [7689]E(f331(a110,f701(x76891)),x76891)+~P104(f331(f331(f333(f885(f884(a876,a876),a871)),x76891),a102)) % 159.04/158.75 [6322]~P92(x63221)+E(f331(f107(x63221),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f78(x63221)) % 159.04/158.75 [6800]~P104(f331(a200,f331(f107(a1),x68001)))+E(f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),x68001),x68001)),a101)),f2(a876)) % 159.04/158.75 [7865]~P104(f331(f331(f245(a1),f331(f107(a1),x78651)),f2(a1)))+E(f331(f264(a1,a1),f331(a51,f50(f331(f79(a1),f78(a1)),f331(f79(a1),f331(f107(a1),x78651))))),f331(f331(f39(a1),f78(a1)),f331(f107(a1),x78651))) % 159.04/158.75 [7878]~P104(f331(f331(f245(a1),f331(f107(a1),x78781)),f2(a1)))+E(f331(f268(a1,a1),f331(a51,f50(f331(f79(a1),f78(a1)),f331(f79(a1),f331(f107(a1),x78781))))),f45(a1,f78(a1),f331(f107(a1),x78781))) % 159.04/158.75 [7926]~P104(f331(f331(f244(a1),a83),x79261))+P104(f331(f331(f244(a1),a83),f331(f331(f22(a1),f331(f331(f80(a1),x79261),x79261)),a101))) % 159.04/158.75 [7927]~P104(f331(f331(f244(a1),a101),x79271))+P104(f331(f331(f244(a1),a101),f331(f331(f22(a1),f331(f331(f80(a1),x79271),x79271)),a101))) % 159.04/158.75 [7928]~P104(f331(f331(f244(a1),a83),x79281))+P104(f331(f331(f245(a1),a83),f331(f331(f22(a1),f331(f331(f80(a1),x79281),x79281)),a101))) % 159.04/158.75 [7929]~P104(f331(f331(f245(a1),a101),x79291))+P104(f331(f331(f245(a1),a101),f331(f331(f22(a1),f331(f331(f80(a1),x79291),x79291)),a101))) % 159.04/158.75 [7930]~P104(f331(f331(f91(a1),a101),x79301))+P104(f331(f331(f91(a1),a101),f331(f331(f22(a1),f331(f331(f80(a1),x79301),x79301)),a101))) % 159.04/158.75 [8238]~P92(x82381)+~P32(x82381,f331(f107(x82381),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))) % 159.04/158.75 [8418]P104(f331(f331(f244(a1),a83),x84181))+~P104(f331(f331(f244(a1),a83),f331(f331(f22(a1),f331(f331(f80(a1),x84181),x84181)),a101))) % 159.04/158.75 [8419]P104(f331(f331(f244(a1),a83),x84191))+~P104(f331(f331(f245(a1),a83),f331(f331(f22(a1),f331(f331(f80(a1),x84191),x84191)),a101))) % 159.04/158.75 [8420]P104(f331(f331(f244(a1),a101),x84201))+~P104(f331(f331(f244(a1),a101),f331(f331(f22(a1),f331(f331(f80(a1),x84201),x84201)),a101))) % 159.04/158.75 [8421]P104(f331(f331(f245(a1),a101),x84211))+~P104(f331(f331(f245(a1),a101),f331(f331(f22(a1),f331(f331(f80(a1),x84211),x84211)),a101))) % 159.04/158.75 [8422]P104(f331(f331(f91(a1),a101),x84221))+~P104(f331(f331(f91(a1),a101),f331(f331(f22(a1),f331(f331(f80(a1),x84221),x84221)),a101))) % 159.04/158.75 [8733]E(f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),x87331),x87331)),a101)),f331(f331(f86(a876,a876),f331(f107(a876),x87331)),f331(f331(f8(a876,a876,a876),a116),f331(f331(f18(a876,a876,a876),f80(a876)),f5(a876)))))+P104(f331(a200,f331(f107(a1),x87331))) % 159.04/158.75 [9579]E(x95791,f194(f885(f884(a876,a876),a871)))+P104(f331(f331(f333(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),f331(f331(f265(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),x95791),f194(f885(f884(a876,a876),a871)))),a36)) % 159.04/158.75 [8664]~P104(f331(a200,f331(f107(a1),x86641)))+P104(f331(a200,f331(f107(a1),f331(f331(f22(a1),f331(f331(f80(a1),x86641),x86641)),a101)))) % 159.04/158.75 [8665]~P104(f331(f331(f245(a1),x86651),a83))+P104(f331(f331(f244(a1),f331(f331(f22(a1),f331(f331(f80(a1),x86651),x86651)),a101)),a83)) % 159.04/158.75 [8666]~P104(f331(f331(f244(a1),x86661),a101))+P104(f331(f331(f244(a1),f331(f331(f22(a1),f331(f331(f80(a1),x86661),x86661)),a101)),a101)) % 159.04/158.75 [8667]~P104(f331(f331(f245(a1),x86671),a83))+P104(f331(f331(f245(a1),f331(f331(f22(a1),f331(f331(f80(a1),x86671),x86671)),a101)),a83)) % 159.04/158.75 [8668]~P104(f331(f331(f245(a1),x86681),a101))+P104(f331(f331(f245(a1),f331(f331(f22(a1),f331(f331(f80(a1),x86681),x86681)),a101)),a101)) % 159.04/158.75 [8669]~P104(f331(f331(f91(a1),x86691),a101))+P104(f331(f331(f91(a1),f331(f331(f22(a1),f331(f331(f80(a1),x86691),x86691)),a101)),a101)) % 159.04/158.75 [8768]~P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),x87681)))+P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),f331(f331(f22(a1),f331(f331(f80(a1),x87681),x87681)),a101)))) % 159.04/158.75 [8928]~P92(x89281)+E(f331(f331(f80(x89281),f78(x89281)),f78(x89281)),f331(f107(x89281),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))) % 159.04/158.75 [9083]P104(f331(a200,f331(f107(a1),x90831)))+~P104(f331(a200,f331(f107(a1),f331(f331(f22(a1),f331(f331(f80(a1),x90831),x90831)),a101)))) % 159.04/158.75 [9084]P104(f331(f331(f244(a1),x90841),a101))+~P104(f331(f331(f244(a1),f331(f331(f22(a1),f331(f331(f80(a1),x90841),x90841)),a101)),a101)) % 159.04/158.75 [9085]P104(f331(f331(f245(a1),x90851),a83))+~P104(f331(f331(f244(a1),f331(f331(f22(a1),f331(f331(f80(a1),x90851),x90851)),a101)),a83)) % 159.04/158.75 [9086]P104(f331(f331(f245(a1),x90861),a83))+~P104(f331(f331(f245(a1),f331(f331(f22(a1),f331(f331(f80(a1),x90861),x90861)),a101)),a83)) % 159.04/158.75 [9087]P104(f331(f331(f245(a1),x90871),a101))+~P104(f331(f331(f245(a1),f331(f331(f22(a1),f331(f331(f80(a1),x90871),x90871)),a101)),a101)) % 159.04/158.75 [9088]P104(f331(f331(f91(a1),x90881),a101))+~P104(f331(f331(f91(a1),f331(f331(f22(a1),f331(f331(f80(a1),x90881),x90881)),a101)),a101)) % 159.04/158.75 [9625]~P104(f331(f62(f884(a876,a876)),x96251))+P104(f331(f331(f333(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),f331(f331(f265(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),f194(f885(f884(a876,a876),a871))),x96251)),a69)) % 159.04/158.75 [9412]~P143(x94121)+E(f331(f331(f255(x94121),f78(x94121)),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f78(x94121)) % 159.04/158.75 [9413]~P143(x94131)+E(f331(f331(f255(x94131),f2(x94131)),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f2(x94131)) % 159.04/158.75 [9852]~P104(f331(f331(f245(a876),f78(a876)),x98521))+P104(f331(f331(f245(a876),f2(a876)),f331(f331(f39(a876),x98521),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))) % 159.04/158.75 [9864]~P104(f331(f331(f245(a876),f2(a876)),x98641))+P104(f331(f331(f245(a876),f2(a876)),f331(f331(f39(a876),f331(f331(f80(a876),x98641),f78(a876))),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))) % 159.04/158.75 [9906]~E(f45(a876,x99061,f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f78(a876))+P104(f331(f331(f245(a876),f2(a876)),f45(a876,x99061,f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))) % 159.04/158.75 [9925]E(f45(a876,x99251,f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f78(a876))+~P104(f331(f331(f245(a876),f2(a876)),f45(a876,x99251,f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))) % 159.04/158.75 [4616]~P39(x46161,x46162)+P55(x46161,x46162) % 159.04/158.75 [4617]~P44(x46171,x46172)+P55(x46171,x46172) % 159.04/158.75 [4576]~E(x45761,x45762)+E(f277(x45761,x45762),f78(a103)) % 159.04/158.75 [4579]E(f225(x45791,x45792),x45791)+~E(x45792,f2(a876)) % 159.04/158.75 [4584]P40(x45841,x45842)+~E(x45842,f197(x45841)) % 159.04/158.75 [4587]~E(x45872,f117(x45871))+E(f151(x45871,x45872),f117(x45871)) % 159.04/158.75 [4591]~P40(x45912,x45911)+E(x45911,f197(x45912)) % 159.04/158.75 [4607]~E(f151(x46072,x46071),f117(x46072))+E(x46071,f117(x46072)) % 159.04/158.75 [4621]~P24(x46212)+P24(f885(x46211,x46212)) % 159.04/158.75 [4622]~P105(x46222)+P105(f885(x46221,x46222)) % 159.04/158.75 [4623]~P106(x46232)+P106(f885(x46231,x46232)) % 159.04/158.75 [4624]~P108(x46242)+P108(f885(x46241,x46242)) % 159.04/158.75 [4625]~P63(x46252)+P63(f885(x46251,x46252)) % 159.04/158.75 [4626]~P75(x46262)+P75(f885(x46261,x46262)) % 159.04/158.75 [4627]~P75(x46272)+P99(f885(x46271,x46272)) % 159.04/158.75 [4628]~P96(x46282)+P76(f885(x46281,x46282)) % 159.04/158.75 [4629]~P75(x46292)+P100(f885(x46291,x46292)) % 159.04/158.75 [4630]~P81(x46302)+P81(f885(x46301,x46302)) % 159.04/158.75 [4631]~P82(x46312)+P82(f885(x46311,x46312)) % 159.04/158.75 [4632]~P97(x46322)+P97(f885(x46321,x46322)) % 159.04/158.75 [4633]~P109(x46332)+P109(f885(x46331,x46332)) % 159.04/158.75 [4634]~P96(x46342)+P98(f885(x46341,x46342)) % 159.04/158.75 [4635]~P28(x46352)+P28(f885(x46351,x46352)) % 159.04/158.75 [4636]~P96(x46362)+P96(f885(x46361,x46362)) % 159.04/158.75 [4648]E(x46481,x46482)+~E(f331(a28,x46481),f331(a28,x46482)) % 159.04/158.75 [4650]E(x46501,x46502)+~E(f331(a116,x46501),f331(a116,x46502)) % 159.04/158.75 [4651]E(x46511,x46512)+~E(f331(a110,x46511),f331(a110,x46512)) % 159.04/158.75 [4652]E(x46521,x46522)+~E(f331(a3,x46521),f331(a3,x46522)) % 159.04/158.75 [4654]E(x46541,x46542)+~E(f331(a19,x46541),f331(a19,x46542)) % 159.04/158.75 [4758]~P26(x47581)+E(f45(x47581,x47582,x47582),f2(x47581)) % 159.04/158.75 [4792]~P39(x47921,x47922)+P39(f877(x47921),f144(x47921,x47922)) % 159.04/158.75 [4793]~P39(x47931,x47932)+P39(f877(x47931),f145(x47931,x47932)) % 159.04/158.75 [4890]~P39(x48901,x48902)+P39(f885(x48901,a871),f322(x48901,x48902)) % 159.04/158.75 [4891]~P39(x48911,x48912)+P39(f885(x48911,a871),f323(x48911,x48912)) % 159.04/158.75 [5012]~P29(x50121)+P41(f301(a1,x50121,x50122)) % 159.04/158.75 [5112]~P39(x51121,x51122)+P57(x51121,f68(x51121,x51121,x51122)) % 159.04/158.75 [5616]~P77(x56161)+P21(x56161,x56161,f79(x56161),x56162) % 159.04/158.75 [4602]~E(x46022,f117(x46021))+E(f331(f167(x46021),x46022),f117(x46021)) % 159.04/158.75 [4603]~E(x46032,f117(x46031))+E(f331(f168(x46031),x46032),f117(x46031)) % 159.04/158.75 [4658]E(x46581,f331(a108,x46582))+~E(f331(f104(a1),x46581),x46582) % 159.04/158.75 [4661]E(x46611,f117(x46612))+~E(f331(f167(x46612),x46611),f117(x46612)) % 159.04/158.75 [4662]E(x46621,f117(x46622))+~E(f331(f168(x46622),x46621),f117(x46622)) % 159.04/158.75 [4680]~P92(x46801)+E(f331(f107(x46801),x46802),f331(f106(x46801),x46802)) % 159.04/158.75 [4687]~E(x46872,f197(x46871))+E(f237(x46871,x46872),f194(f885(x46871,a871))) % 159.04/158.75 [4689]~P25(x46891)+P104(f331(f62(x46891),x46892)) % 159.04/158.75 [4696]E(x46961,f197(x46962))+E(f331(f236(x46962),f337(x46962,x46961)),x46961) % 159.04/158.75 [4697]E(x46971,f197(x46972))+E(f331(f236(x46972),f414(x46972,x46971)),x46971) % 159.04/158.75 [4699]~E(f585(x46992,x46991),f117(x46991))+E(f180(x46991,x46992),f117(f877(x46991))) % 159.04/158.75 [4708]~E(x47082,f117(x47081))+E(f331(f172(x47081),x47082),f194(f885(x47081,a871))) % 159.04/158.75 [4709]~E(x47092,f117(x47091))+E(f194(f885(x47091,a871)),f331(f172(x47091),x47092)) % 159.04/158.75 [4711]E(x47111,x47112)+~E(f331(f104(a1),x47111),f331(f104(a1),x47112)) % 159.04/158.75 [4714]E(f223(x47141,x47142),f2(a876))+P104(f331(f62(x47141),x47142)) % 159.04/158.75 [4734]~P119(x47341)+E(f82(x47341,f82(x47341,x47342)),f82(x47341,x47342)) % 159.04/158.75 [4747]~P79(x47471)+E(f331(f331(f255(x47471),x47472),f78(a876)),x47472) % 159.04/158.75 [4748]~P114(x47481)+E(f331(f331(f255(x47481),x47482),f78(a876)),x47482) % 159.04/158.75 [4752]E(x47521,x47522)+E(f277(x47521,x47522),f331(f331(f80(a103),x47522),f78(a103))) % 159.04/158.75 [4755]E(f331(f38(x47551),x47552),f2(a876))+P104(f331(f62(x47551),x47552)) % 159.04/158.75 [4759]~E(f151(x47591,x47592),x47592)+P104(f331(f136(x47591),x47592)) % 159.04/158.75 [4762]~P65(x47621)+E(f331(f331(f22(x47621),x47622),f2(x47621)),x47622) % 159.04/158.75 [4763]~P76(x47631)+E(f331(f331(f114(x47631),x47632),f194(x47631)),x47632) % 159.04/158.75 [4764]~P98(x47641)+E(f331(f331(f105(x47641),x47642),f253(x47641)),x47642) % 159.04/158.75 [4765]~P68(x47651)+E(f331(f331(f81(x47651),x47652),f78(x47651)),x47652) % 159.04/158.75 [4766]~P79(x47661)+E(f331(f331(f81(x47661),x47662),f78(x47661)),x47662) % 159.04/158.75 [4767]~P114(x47671)+E(f331(f331(f81(x47671),x47672),f78(x47671)),x47672) % 159.04/158.75 [4768]~P69(x47681)+E(f331(f331(f80(x47681),x47682),f2(x47681)),x47682) % 159.04/158.75 [4769]~P114(x47691)+E(f331(f331(f80(x47691),x47692),f2(x47691)),x47692) % 159.04/158.75 [4770]~P80(x47701)+E(f331(f331(f80(x47701),x47702),f2(x47701)),x47702) % 159.04/158.75 [4771]~P26(x47711)+E(f331(f331(f39(x47711),x47712),f78(x47711)),x47712) % 159.04/158.75 [4772]~P116(x47721)+E(f331(f331(f288(x47721),x47722),f78(x47721)),x47722) % 159.04/158.75 [4773]~P114(x47731)+E(f331(f331(f255(x47731),x47732),f2(a876)),f78(x47731)) % 159.04/158.75 [4774]~P112(x47741)+E(f331(f331(f255(x47741),x47742),f2(a876)),f78(x47741)) % 159.04/158.75 [4775]~E(x47752,f194(f885(x47751,a871)))+E(f331(f38(x47751),x47752),f2(a876)) % 159.04/158.75 [4786]~P26(x47861)+E(f45(x47861,x47862,f2(x47861)),x47862) % 159.04/158.75 [4794]~P98(x47941)+E(f331(f331(f114(x47941),x47942),f253(x47941)),f253(x47941)) % 159.04/158.75 [4795]~P76(x47951)+E(f331(f331(f105(x47951),x47952),f194(x47951)),f194(x47951)) % 159.04/158.75 [4796]~P114(x47961)+E(f331(f331(f81(x47961),x47962),f2(x47961)),f2(x47961)) % 159.04/158.75 [4797]~P130(x47971)+E(f331(f331(f81(x47971),x47972),f2(x47971)),f2(x47971)) % 159.04/158.75 [4798]~P26(x47981)+E(f331(f331(f39(x47981),x47982),f2(x47981)),f2(x47981)) % 159.04/158.75 [4799]~P117(x47991)+E(f331(f331(f288(x47991),x47992),f2(x47991)),f2(x47991)) % 159.04/158.75 [4800]E(x48001,f197(x48002))+~E(f237(x48002,x48001),f194(f885(x48002,a871))) % 159.04/158.75 [4803]~P26(x48031)+E(f45(x48031,x48032,f78(x48031)),f2(x48031)) % 159.04/158.75 [4804]~P26(x48041)+E(f45(x48041,f2(x48041),x48042),f2(x48041)) % 159.04/158.75 [4833]E(x48331,f2(a876))+E(f55(x48332,x48331,f117(x48332)),f117(f877(x48332))) % 159.04/158.75 [4857]P39(x48571,x48572)+~E(f706(x48572,x48571),f194(f885(x48571,a871))) % 159.04/158.75 [4858]E(x48581,f117(x48582))+~E(f331(f172(x48582),x48581),f194(f885(x48582,a871))) % 159.04/158.75 [4859]E(x48591,f117(x48592))+~E(f194(f885(x48592,a871)),f331(f172(x48592),x48591)) % 159.04/158.75 [4862]~E(x48621,x48622)+P104(f331(f331(a328,x48621),x48622)) % 159.04/158.75 [4872]P104(x48721)+P104(f331(f331(a334,x48721),x48722)) % 159.04/158.75 [4873]E(x48731,f117(x48732))+E(f331(f331(f164(x48732),x48731),f2(a876)),f331(f140(x48732),x48731)) % 159.04/158.75 [4876]E(f151(x48761,x48762),x48762)+~P104(f331(f136(x48761),x48762)) % 159.04/158.75 [4881]~P104(x48812)+P104(f331(f331(a334,x48811),x48812)) % 159.04/158.75 [4882]~P104(x48822)+P104(f331(f331(a330,x48821),x48822)) % 159.04/158.75 [4883]~P104(x48831)+P104(f331(f331(a330,x48831),x48832)) % 159.04/158.75 [4893]~E(x48932,f194(f885(x48931,a871)))+P104(f331(f62(x48931),x48932)) % 159.04/158.75 [4894]~E(f539(x48942,x48941),f546(x48942,x48941))+P104(f331(f136(x48941),x48942)) % 159.04/158.75 [4902]E(f331(f250(x49021),x49022),f194(f885(x49021,a871)))+P104(f331(x49022,f720(x49022))) % 159.04/158.75 [4903]E(f194(f885(x49031,a871)),f331(f250(x49031),x49032))+P104(f331(x49032,f852(x49032))) % 159.04/158.75 [4969]~P119(x49691)+E(f331(f331(f81(x49691),x49692),f82(x49691,x49692)),f331(f75(x49691),x49692)) % 159.04/158.75 [4980]~E(x49801,f2(a1))+E(f46(x49801,x49802),f331(f331(f265(a1,a1),f2(a1)),f2(a1))) % 159.04/158.75 [5011]~P55(x50111,x50112)+P55(x50111,f331(f285(x50111,x50111),x50112)) % 159.04/158.75 [5029]~E(f331(a26,x50291),f331(f236(a873),x50292))+P104(f331(a25,f331(a28,x50291))) % 159.04/158.75 [5034]E(x50341,x50342)+~P104(f331(f331(a328,x50341),x50342)) % 159.04/158.75 [5038]~P104(f331(a25,x50382))+P104(f331(a25,f32(x50381,x50382))) % 159.04/158.75 [5047]P104(x50471)+~P104(f331(f331(a329,x50472),x50471)) % 159.04/158.75 [5048]P104(x50481)+~P104(f331(f331(a329,x50481),x50482)) % 159.04/158.75 [5052]~P109(x50521)+P104(f331(f331(f244(x50521),x50522),f253(x50521))) % 159.04/158.75 [5056]E(x50561,x50562)+~E(f331(x50561,f425(x50562,x50561)),f331(x50562,f425(x50562,x50561))) % 159.04/158.75 [5085]E(x50851,f2(a876))+E(f225(x50851,f45(a876,x50852,x50851)),f225(x50852,x50851)) % 159.04/158.75 [5090]~P107(x50901)+P30(x50901,f331(f331(f150(x50901),x50902),f117(x50901))) % 159.04/158.75 [5092]E(x50921,f2(a1))+P104(f331(f49(x50922,x50921),f46(x50922,x50921))) % 159.04/158.75 [5110]~E(x51101,x51102)+P104(f331(f331(f245(a876),x51101),f331(a116,x51102))) % 159.04/158.75 [5120]~E(x51201,f2(a876))+P104(f331(f331(f245(a876),x51201),f331(a116,x51202))) % 159.04/158.75 [5130]P104(f331(x51301,x51302))+P104(f331(f331(f244(a1),f2(a1)),f370(x51301))) % 159.04/158.75 [5167]P104(f331(a25,x51671))+~P104(f331(a25,f32(x51672,x51671))) % 159.04/158.75 [5169]P104(f331(a25,x51691))+~P104(f331(a25,f33(x51692,x51691))) % 159.04/158.75 [5171]P104(f331(a25,x51711))+~P104(f331(a25,f33(x51711,x51712))) % 159.04/158.75 [5203]P55(x52031,x52032)+~P55(x52031,f331(f285(x52031,x52031),x52032)) % 159.04/158.75 [5206]~E(f45(a876,x52062,x52061),f2(a876))+E(f331(f331(f81(a876),x52061),f426(x52061,x52062)),x52062) % 159.04/158.75 [5207]~E(f45(a1,x52072,x52071),f2(a1))+E(f331(f331(f81(a1),x52071),f427(x52071,x52072)),x52072) % 159.04/158.75 [5233]~P104(f331(x52331,x52332))+P104(f331(f331(f244(a1),f2(a1)),f354(x52331))) % 159.04/158.75 [5245]E(f331(f331(f22(a876),f331(a108,x52451)),f331(a108,x52452)),f331(a108,x52451))+~P104(f331(a200,x52452)) % 159.04/158.75 [5274]E(f278(x52741,x52742),f78(a103))+~P104(f331(f331(f244(a103),x52741),f78(a103))) % 159.04/158.75 [5370]E(f331(f331(f164(x53701),x53702),f539(x53702,x53701)),f331(f331(f164(x53701),x53702),f546(x53702,x53701)))+P104(f331(f136(x53701),x53702)) % 159.04/158.75 [5415]~P104(f331(x54151,f90(x54152,x54151)))+P104(f331(x54151,f550(x54152,x54151))) % 159.04/158.75 [5478]P57(x54781,x54782)+~P104(f331(f319(x54781,x54782),f665(x54782,x54781))) % 159.04/158.75 [5623]~E(f331(a116,f45(a876,x56231,x56232)),x56232)+E(f45(a876,f331(a116,x56231),x56232),f2(a876)) % 159.04/158.75 [5680]P39(x56801,x56802)+P104(f331(f331(f333(x56801),f754(x56802,x56801)),f755(x56802,x56801))) % 159.04/158.75 [5687]~P138(x56871)+P104(f331(f331(f333(x56871),f331(f104(x56871),x56872)),f113(x56871))) % 159.04/158.75 [5688]~P143(x56881)+P104(f331(f331(f333(x56881),f331(f104(x56881),x56882)),f192(x56881))) % 159.04/158.75 [5689]~P138(x56891)+P104(f331(f331(f333(x56891),f331(f106(x56891),x56892)),f113(x56891))) % 159.04/158.75 [5690]~P92(x56901)+P104(f331(f331(f333(x56901),f331(f107(x56901),x56902)),f113(x56901))) % 159.04/158.75 [5835]E(f331(a116,f45(a876,x58351,x58352)),x58352)+E(f45(a876,f331(a116,x58351),x58352),f331(a116,f45(a876,x58351,x58352))) % 159.04/158.75 [6253]P39(x62531,x62532)+~P104(f331(f331(f333(x62531),f666(x62532,x62531)),f320(x62531,x62532))) % 159.04/158.75 [6288]~P122(x62881)+~P104(f331(f331(f245(x62881),f331(f104(x62881),x62882)),f2(x62881))) % 159.04/158.75 [6289]~P86(x62891)+~P104(f331(f331(f245(x62891),f331(f75(x62891),x62892)),f2(x62891))) % 159.04/158.75 [6375]P104(f331(f331(f245(a1),x63751),f45(a1,x63752,x63751)))+~P104(f331(f331(f245(a1),x63751),f2(a1))) % 159.04/158.75 [6474]E(f331(f331(f308(a876),f331(a116,x64741)),f301(a876,x64742,x64741)),f301(a876,x64742,f331(a116,x64741)))+~P104(f331(f331(f244(a876),x64742),f331(a116,x64741))) % 159.04/158.75 [6561]~P107(x65611)+P30(x65611,f149(x65611,x65611,f5(x65611),x65612)) % 159.04/158.75 [6692]E(f331(f167(x66921),x66922),x66922)+~P104(f331(f331(f244(a876),f331(f195(f877(x66921)),x66922)),f78(a876))) % 159.04/158.75 [6712]~P86(x67121)+P104(f331(f331(f244(x67121),f331(f79(x67121),f331(f75(x67121),x67122))),f2(x67121))) % 159.04/158.75 [6745]~P39(x67451,x67452)+P39(x67451,f331(f331(f287(x67451,x67451,x67451),x67452),f306(x67451,x67452))) % 159.04/158.75 [6967]~P104(f331(f331(f245(a1),x69672),f2(a1)))+P104(f331(f331(f244(a1),f45(a1,x69671,x69672)),f2(a1))) % 159.04/158.75 [7363]~P143(x73631)+E(f196(x73631,f331(f331(f7(x73631,x73631,x73631),f80(x73631)),f78(x73631)),x73632,f2(x73631)),f331(f104(x73631),x73632)) % 159.04/158.75 [7391]~P123(x73911)+~P104(f331(f331(f245(x73911),f331(f331(f81(x73911),x73912),x73912)),f2(x73911))) % 159.04/158.75 [10015]~P119(x100151)+~P104(f331(f331(f245(x100151),f331(f331(f255(x100151),x100152),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f2(x100151))) % 159.04/158.75 [4659]~E(x46592,f117(x46591))+E(f331(f195(f877(x46591)),x46592),f2(a876)) % 159.04/158.75 [4700]~E(x47001,f2(a876))+E(f331(f331(f80(a876),x47001),x47002),x47002) % 159.04/158.75 [4701]~E(x47012,f2(a876))+E(f331(f331(f81(a876),x47011),x47012),f2(a876)) % 159.04/158.75 [4703]~E(x47031,f2(a876))+E(f331(f331(f81(a876),x47031),x47032),f2(a876)) % 159.04/158.75 [4704]~E(x47042,f2(a876))+E(f331(f331(f255(a876),x47041),x47042),f78(a876)) % 159.04/158.75 [4705]~E(x47052,f2(a1))+E(f331(f331(f39(a1),x47051),x47052),f2(a1)) % 159.04/158.75 [4715]E(x47151,f117(x47152))+~E(f331(f195(f877(x47152)),x47151),f2(a876)) % 159.04/158.75 [4716]~P75(x47161)+E(f331(f331(f114(x47161),x47162),x47162),x47162) % 159.04/158.75 [4718]~P99(x47181)+E(f331(f331(f114(x47181),x47182),x47182),x47182) % 159.04/158.75 [4719]~P75(x47191)+E(f331(f331(f105(x47191),x47192),x47192),x47192) % 159.04/158.75 [4721]~P100(x47211)+E(f331(f331(f105(x47211),x47212),x47212),x47212) % 159.04/158.75 [4723]~P95(x47231)+E(f331(f331(f81(x47231),x47232),x47232),x47232) % 159.04/158.75 [4725]~P107(x47251)+E(f331(f331(f242(x47251),x47252),x47252),x47252) % 159.04/158.75 [4727]~P107(x47271)+E(f331(f331(f243(x47271),x47272),x47272),x47272) % 159.04/158.75 [4746]~P65(x47461)+E(f331(f331(f22(x47461),x47462),x47462),f2(x47461)) % 159.04/158.75 [4760]~P65(x47601)+E(f331(f79(x47601),f331(f79(x47601),x47602)),x47602) % 159.04/158.75 [4761]~P81(x47611)+E(f331(f79(x47611),f331(f79(x47611),x47612)),x47612) % 159.04/158.75 [4778]~E(x47782,f2(a876))+E(f331(f331(f255(a876),x47781),x47782),f331(a116,f2(a876))) % 159.04/158.75 [4812]~P76(x48121)+E(f331(f331(f114(x48121),f194(x48121)),x48122),x48122) % 159.04/158.75 [4813]~P98(x48131)+E(f331(f331(f105(x48131),f253(x48131)),x48132),x48132) % 159.04/158.75 [4814]~P68(x48141)+E(f331(f331(f81(x48141),f78(x48141)),x48142),x48142) % 159.04/158.75 [4815]~P79(x48151)+E(f331(f331(f81(x48151),f78(x48151)),x48152),x48152) % 159.04/158.75 [4816]~P114(x48161)+E(f331(f331(f81(x48161),f78(x48161)),x48162),x48162) % 159.04/158.75 [4817]~P69(x48171)+E(f331(f331(f80(x48171),f2(x48171)),x48172),x48172) % 159.04/158.75 [4818]~P114(x48181)+E(f331(f331(f80(x48181),f2(x48181)),x48182),x48182) % 159.04/158.75 [4819]~P80(x48191)+E(f331(f331(f80(x48191),f2(x48191)),x48192),x48192) % 159.04/158.75 [4838]~P98(x48381)+E(f331(f331(f114(x48381),f253(x48381)),x48382),f253(x48381)) % 159.04/158.75 [4839]~P76(x48391)+E(f331(f331(f105(x48391),f194(x48391)),x48392),f194(x48391)) % 159.04/158.75 [4840]~P114(x48401)+E(f331(f331(f81(x48401),f2(x48401)),x48402),f2(x48401)) % 159.04/158.75 [4841]~P130(x48411)+E(f331(f331(f81(x48411),f2(x48411)),x48412),f2(x48411)) % 159.04/158.75 [4842]~P79(x48421)+E(f331(f331(f255(x48421),f78(x48421)),x48422),f78(x48421)) % 159.04/158.75 [4843]~P26(x48431)+E(f331(f331(f39(x48431),f2(x48431)),x48432),f2(x48431)) % 159.04/158.75 [4844]~P116(x48441)+E(f331(f331(f288(x48441),f2(x48441)),x48442),f2(x48441)) % 159.04/158.75 [4852]E(x48521,f117(x48522))+E(f143(x48522,f331(f168(x48522),x48521)),f331(f140(x48522),x48521)) % 159.04/158.75 [4853]E(x48531,f117(x48532))+E(f331(f140(x48532),f331(f168(x48532),x48531)),f143(x48532,x48531)) % 159.04/158.75 [4854]E(x48541,f2(a876))+~E(f331(f331(f80(a876),x48542),x48541),x48542) % 159.04/158.75 [4860]~P138(x48601)+E(f331(f106(x48601),f331(f104(a1),x48602)),f331(f104(x48601),x48602)) % 159.04/158.75 [4861]~P92(x48611)+E(f331(f106(x48611),f331(f107(a1),x48612)),f331(f107(x48611),x48612)) % 159.04/158.75 [4868]E(x48681,f78(a876))+~E(f331(f331(f81(a876),x48682),x48681),f78(a876)) % 159.04/158.75 [4869]E(x48691,f78(a876))+~E(f331(f331(f81(a876),x48691),x48692),f78(a876)) % 159.04/158.75 [4870]E(x48701,f2(a876))+~E(f331(f331(f80(a876),x48702),x48701),f2(a876)) % 159.04/158.75 [4871]E(x48711,f2(a876))+~E(f331(f331(f80(a876),x48711),x48712),f2(a876)) % 159.04/158.75 [4886]~P86(x48861)+E(f331(f75(x48861),f331(f79(x48861),x48862)),f331(f75(x48861),x48862)) % 159.04/158.75 [4887]~P119(x48871)+E(f331(f75(x48871),f331(f104(x48871),x48872)),f331(f104(x48871),x48872)) % 159.04/158.75 [4888]~P86(x48881)+E(f331(f75(x48881),f331(f75(x48881),x48882)),f331(f75(x48881),x48882)) % 159.04/158.75 [4889]~P69(x48891)+E(f331(f165(x48891),f331(f168(x48891),x48892)),f331(f165(x48891),x48892)) % 159.04/158.75 [4895]~E(x48951,f331(a116,f2(a876)))+E(f331(f331(f255(a876),x48951),x48952),f331(a116,f2(a876))) % 159.04/158.75 [4905]~P65(x49051)+E(f331(f331(f22(x49051),f2(x49051)),x49052),f331(f79(x49051),x49052)) % 159.04/158.75 [4906]~E(x49062,f2(a876))+E(f138(a876,f331(f300(a876,x49061),x49062)),f117(a876)) % 159.04/158.75 [4915]~P92(x49151)+E(f331(f331(f80(x49151),x49152),f331(f107(x49151),a83)),x49152) % 159.04/158.75 [4916]E(x49161,f2(a1))+E(f47(f331(f75(a1),x49162),f331(f75(a1),x49161)),f53(x49162,x49161)) % 159.04/158.75 [4932]~E(x49321,x49322)+P104(f331(f331(f244(a876),x49321),x49322)) % 159.04/158.75 [4939]~E(x49391,f2(a103))+E(f331(f331(f80(a876),f331(a19,x49391)),x49392),x49392) % 159.04/158.75 [4940]~E(f331(f107(a1),x49402),f331(f104(a1),x49401))+E(x49401,f331(a108,f331(f107(a1),x49402))) % 159.04/158.75 [4949]~P29(x49491)+P29(f331(f331(f255(a1),x49491),x49492)) % 159.04/158.75 [4950]~P81(x49501)+E(f331(f331(f114(x49501),x49502),f331(f79(x49501),x49502)),f253(x49501)) % 159.04/158.75 [4951]~P81(x49511)+E(f331(f331(f105(x49511),x49512),f331(f79(x49511),x49512)),f194(x49511)) % 159.04/158.75 [4952]~P65(x49521)+E(f331(f331(f80(x49521),x49522),f331(f79(x49521),x49522)),f2(x49521)) % 159.04/158.75 [4977]E(x49771,f2(a876))+~E(f331(f79(a1),f331(f104(a1),x49772)),f331(f104(a1),x49771)) % 159.04/158.75 [4978]E(x49781,f2(a876))+~E(f331(f79(a1),f331(f104(a1),x49781)),f331(f104(a1),x49782)) % 159.04/158.75 [4988]E(f202(x49881,x49882),f2(a1))+P104(f331(f331(f244(a1),x49882),x49881)) % 159.04/158.75 [4989]E(f179(x49891,x49892),f117(a1))+P104(f331(f331(f244(a1),x49891),x49892)) % 159.04/158.75 [5002]E(x50021,f331(a116,f2(a876)))+~E(f331(f331(f81(a876),x50022),x50021),f331(a116,f2(a876))) % 159.04/158.75 [5003]E(x50031,f331(a116,f2(a876)))+~E(f331(f331(f81(a876),x50031),x50032),f331(a116,f2(a876))) % 159.04/158.75 [5004]~P105(x50041)+P104(f331(f331(f244(x50041),x50042),x50042)) % 159.04/158.75 [5005]~P94(x50051)+P104(f331(f331(f91(x50051),x50052),x50052)) % 159.04/158.75 [5008]~P92(x50081)+E(f331(f331(f81(x50081),x50082),f331(f107(x50081),a101)),f331(f79(x50081),x50082)) % 159.04/158.75 [5026]~P138(x50261)+E(f331(f79(x50261),f331(f106(x50261),x50262)),f331(f106(x50261),f331(f79(a1),x50262))) % 159.04/158.75 [5027]~P92(x50271)+E(f331(f79(x50271),f331(f107(x50271),x50272)),f331(f107(x50271),f331(f79(a1),x50272))) % 159.04/158.75 [5057]~E(x50571,f331(a116,x50572))+P104(f331(f331(f245(a876),f2(a876)),x50571)) % 159.04/158.75 [5074]~P107(x50741)+E(f331(f79(f885(x50741,a871)),f331(f251(x50741),x50742)),f331(f252(x50741),x50742)) % 159.04/158.75 [5075]~P107(x50751)+E(f331(f79(f885(x50751,a871)),f331(f302(x50751),x50752)),f331(f299(x50751),x50752)) % 159.04/158.75 [5076]~P107(x50761)+E(f331(f79(f885(x50761,a871)),f331(f252(x50761),x50762)),f331(f251(x50761),x50762)) % 159.04/158.75 [5077]~P107(x50771)+E(f331(f79(f885(x50771,a871)),f331(f299(x50771),x50772)),f331(f302(x50771),x50772)) % 159.04/158.75 [5084]~E(f331(f104(a1),x50842),x50841)+P104(f331(f331(f244(a1),f2(a1)),x50841)) % 159.04/158.75 [5091]~E(x50912,f2(a1))+E(f53(x50911,x50912),f331(f331(f265(a1,a1),f2(a1)),f331(f75(a1),x50911))) % 159.04/158.75 [5093]~P24(x50931)+P104(f331(f331(f244(x50931),f194(x50931)),x50932)) % 159.04/158.75 [5125]E(x51251,x51252)+~E(f331(f331(f80(a1),x51251),x51251),f331(f331(f80(a1),x51252),x51252)) % 159.04/158.75 [5129]~P104(f331(x51291,x51292))+P104(f331(x51291,f331(a108,f354(x51291)))) % 159.04/158.75 [5155]~P119(x51551)+E(f331(f331(f81(x51551),f82(x51551,x51552)),f331(f75(x51551),x51552)),x51552) % 159.04/158.75 [5156]E(x51561,x51562)+~P104(f331(f331(f201(a24),x51561),x51562)) % 159.04/158.75 [5165]~E(x51652,f2(a876))+E(f85(f884(a876,a876),f48(x51651,x51652)),f331(f331(f265(a876,a876),f2(a876)),x51651)) % 159.04/158.75 [5176]~E(x51761,x51762)+~P104(f331(f331(f245(a876),x51761),x51762)) % 159.04/158.75 [5177]~E(x51771,x51772)+~P104(f331(f331(f245(a1),x51771),x51772)) % 159.04/158.75 [5180]~P143(x51801)+E(f331(f331(f80(x51801),f78(x51801)),f331(f104(x51801),x51802)),f331(f104(x51801),f331(a116,x51802))) % 159.04/158.75 [5184]~E(x51841,f2(a876))+~P104(f331(f331(f245(a876),x51842),x51841)) % 159.04/158.75 [5200]E(f151(x52001,x52002),x52002)+~E(f331(f195(f877(x52001)),f151(x52001,x52002)),f331(f195(f877(x52001)),x52002)) % 159.04/158.75 [5201]E(f331(f38(x52011),f331(f172(x52011),x52012)),f331(f195(f877(x52011)),x52012))+~P104(f331(f136(x52011),x52012)) % 159.04/158.75 [5211]~P104(f331(x52111,f355(x52111)))+P104(f331(x52111,f331(f104(a1),x52112))) % 159.04/158.75 [5222]E(f179(x52221,x52222),f117(a1))+~P104(f331(f331(f245(a1),x52222),x52221)) % 159.04/158.75 [5223]E(f278(x52231,x52232),f78(a103))+~P104(f331(f331(f245(a103),x52232),x52231)) % 159.04/158.75 [5226]~P108(x52261)+E(f301(x52261,x52262,x52262),f331(f331(f308(x52261),x52262),f194(f885(x52261,a871)))) % 159.04/158.75 [5248]~E(f331(f331(f22(a876),x52481),x52482),f2(a876))+P104(f331(f331(f244(a876),x52481),x52482)) % 159.04/158.75 [5249]~E(f331(f331(f22(a1),x52491),x52492),f2(a1))+P104(f331(f331(f91(a1),x52491),x52492)) % 159.04/158.75 [5271]~E(x52712,f2(a876))+E(f55(x52711,x52712,f117(x52711)),f331(f331(f150(f877(x52711)),f117(x52711)),f117(f877(x52711)))) % 159.04/158.75 [5275]~P105(x52751)+~P104(f331(f331(f245(x52751),x52752),x52752)) % 159.04/158.75 [5278]~E(f45(a1,x52781,x52782),f2(a1))+E(f45(a1,x52781,f331(f79(a1),x52782)),f2(a1)) % 159.04/158.75 [5280]~E(f45(a1,x52801,x52802),f2(a1))+E(f45(a1,f331(f79(a1),x52801),x52802),f2(a1)) % 159.04/158.75 [5288]E(f331(f300(a876,x52881),f331(a116,x52882)),f194(f885(a876,a871)))+P104(f331(f331(f244(a876),x52881),x52882)) % 159.04/158.75 [5309]E(f138(a876,f331(f300(a876,x53091),x53092)),f117(a876))+P104(f331(f331(f245(a876),x53091),x53092)) % 159.04/158.75 [5314]~E(f331(f38(x53141),f331(f172(x53141),x53142)),f331(f195(f877(x53141)),x53142))+P104(f331(f136(x53141),x53142)) % 159.04/158.75 [5319]~P104(f331(f136(x53191),x53192))+P104(f331(f136(x53191),f331(f167(x53191),x53192))) % 159.04/158.75 [5320]~P104(f331(f136(x53201),x53202))+P104(f331(f136(x53201),f331(f171(x53201),x53202))) % 159.04/158.75 [5321]~P104(f331(f136(x53211),x53212))+P104(f331(f136(x53211),f331(f168(x53211),x53212))) % 159.04/158.75 [5328]P104(f331(x53281,x53282))+~P104(f331(x53281,f331(a108,f370(x53281)))) % 159.04/158.75 [5329]P104(f331(f331(f244(a876),x53292),x53291))+P104(f331(f331(f244(a876),x53291),x53292)) % 159.04/158.75 [5330]P104(f331(f331(f244(a1),x53302),x53301))+P104(f331(f331(f244(a1),x53301),x53302)) % 159.04/158.75 [5333]~P86(x53331)+P104(f331(f331(f244(x53331),x53332),f331(f75(x53331),x53332))) % 159.04/158.75 [5336]P104(f331(x53361,f356(x53361)))+~P104(f331(x53361,f331(f104(a1),x53362))) % 159.04/158.75 [5362]E(f331(f331(f22(a876),x53621),x53622),f2(a876))+~P104(f331(f331(f244(a876),x53621),x53622)) % 159.04/158.75 [5363]E(f331(f331(f22(a1),x53631),x53632),f2(a1))+~P104(f331(f331(f91(a1),x53631),x53632)) % 159.04/158.75 [5364]E(f331(f331(f39(a876),x53641),x53642),f2(a876))+~P104(f331(f331(f245(a876),x53641),x53642)) % 159.04/158.75 [5382]E(f45(a876,x53821,x53822),x53821)+~P104(f331(f331(f245(a876),x53821),x53822)) % 159.04/158.75 [5391]E(f45(a1,x53911,f331(f79(a1),x53912)),f289(x53911,x53912))+P104(f331(f331(f244(a1),f2(a1)),x53912)) % 159.04/158.75 [5403]E(f331(f331(f22(a1),x54031),x54032),f202(x54031,x54032))+~P104(f331(f331(f244(a1),x54032),x54031)) % 159.04/158.75 [5422]P104(f331(f331(f244(a1),f2(a1)),f355(x54221)))+P104(f331(x54221,f331(f104(a1),x54222))) % 159.04/158.75 [5434]~P58(x54341)+P104(f331(f331(f333(x54341),x54342),f331(f172(x54341),f56(x54341)))) % 159.04/158.75 [5436]~P122(x54361)+P104(f331(f331(f244(x54361),f2(x54361)),f331(f104(x54361),x54362))) % 159.04/158.75 [5437]~P86(x54371)+P104(f331(f331(f244(x54371),f2(x54371)),f331(f75(x54371),x54372))) % 159.04/158.75 [5464]E(f331(f331(f80(a876),x54641),f860(x54642,x54641)),x54642)+~P104(f331(f331(f244(a876),x54641),x54642)) % 159.04/158.75 [5476]~E(f331(f107(a1),x54761),f331(f104(a1),x54762))+P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),x54761))) % 159.04/158.75 [5479]E(f301(a1,x54791,x54792),f194(f885(a1,a871)))+~P104(f331(f331(f245(a1),x54792),x54791)) % 159.04/158.75 [5482]~P119(x54821)+E(f331(f331(f81(x54821),f331(f75(x54821),x54822)),f331(f75(x54821),x54822)),f331(f331(f81(x54821),x54822),x54822)) % 159.04/158.75 [5488]E(f138(a876,f331(f300(a876,x54881),f331(a116,x54882))),f117(a876))+P104(f331(f331(f244(a876),x54881),x54882)) % 159.04/158.75 [5492]E(f331(f331(f39(a1),x54921),x54922),f290(x54921,x54922))+~P104(f331(f331(f244(a1),f2(a1)),x54922)) % 159.04/158.75 [5512]P104(f331(f136(x55121),x55122))+~P104(f331(f136(x55121),f331(f167(x55121),x55122))) % 159.04/158.75 [5513]P104(f331(f136(x55131),x55132))+~P104(f331(f136(x55131),f331(f168(x55131),x55132))) % 159.04/158.75 [5534]P104(f331(f62(a876),x55341))+P104(f331(f331(f333(a876),f854(x55341,x55342)),x55341)) % 159.04/158.75 [5535]P104(f331(f62(a876),x55351))+P104(f331(f331(f333(a876),f861(x55351,x55352)),x55351)) % 159.04/158.75 [5536]P104(f331(f331(f245(a876),x55362),f331(a116,x55361)))+P104(f331(f331(f245(a876),x55361),x55362)) % 159.04/158.75 [5537]E(f45(a1,x55371,x55372),f289(x55371,x55372))+~P104(f331(f331(f244(a1),f2(a1)),x55372)) % 159.04/158.75 [5540]E(f138(a876,f331(f300(a876,x55401),x55402)),f117(a876))+~P104(f331(f331(f244(a876),x55402),x55401)) % 159.04/158.75 [5541]~P77(x55411)+E(f331(f309(x55411,x55411,f79(x55411)),f331(f251(x55411),x55412)),f331(f302(x55411),f331(f79(x55411),x55412))) % 159.04/158.75 [5542]~P77(x55421)+E(f331(f309(x55421,x55421,f79(x55421)),f331(f302(x55421),x55422)),f331(f251(x55421),f331(f79(x55421),x55422))) % 159.04/158.75 [5543]~P77(x55431)+E(f331(f309(x55431,x55431,f79(x55431)),f331(f252(x55431),x55432)),f331(f299(x55431),f331(f79(x55431),x55432))) % 159.04/158.75 [5544]~P77(x55441)+E(f331(f309(x55441,x55441,f79(x55441)),f331(f299(x55441),x55442)),f331(f252(x55441),f331(f79(x55441),x55442))) % 159.04/158.75 [5555]E(x55551,f194(f885(x55552,a871)))+P104(f331(f331(f333(x55552),f547(x55551,x55552)),x55551)) % 159.04/158.75 [5556]E(x55561,f194(f885(x55562,a871)))+P104(f331(f331(f333(x55562),f552(x55561,x55562)),x55561)) % 159.04/158.75 [5567]~P104(f331(f331(f245(a876),x55671),x55672))+P104(f331(f331(f244(a876),x55671),x55672)) % 159.04/158.75 [5568]~P104(f331(f331(f245(a1),x55681),x55682))+P104(f331(f331(f244(a1),x55681),x55682)) % 159.04/158.75 [5584]E(f47(x55841,x55842),f331(f331(f265(a1,a1),f2(a1)),x55841))+~P104(f331(f331(f245(a1),x55841),x55842)) % 159.04/158.75 [5586]E(f224(f331(f79(a1),x55861),f331(f79(a1),x55862)),f224(x55861,x55862))+~P104(f331(f331(f245(a1),x55862),f2(a1))) % 159.04/158.75 [5597]E(x55971,x55972)+~E(f331(a3,f331(a116,f331(a19,x55971))),f331(a3,f331(a116,f331(a19,x55972)))) % 159.04/158.75 [5602]E(f47(x56021,x56022),f331(f331(f265(a1,a1),f2(a1)),x56021))+~P104(f331(f331(f244(a1),x56022),f2(a1))) % 159.04/158.75 [5629]E(f45(a876,f331(f107(a876),x56291),f331(f107(a876),x56292)),f2(a876))+~P104(f331(a200,f331(f107(a1),x56291))) % 159.04/158.75 [5644]P104(f331(f331(f244(a1),f2(a1)),f356(x56441)))+~P104(f331(x56441,f331(f104(a1),x56442))) % 159.04/158.75 [5678]P41(f301(a1,x56781,x56782))+~P104(f331(f331(f244(a1),f2(a1)),x56781)) % 159.04/158.75 [5683]~P104(f331(f62(x56831),x56832))+P104(f331(f62(f885(x56831,a871)),f331(f307(x56831),x56832))) % 159.04/158.75 [5696]E(f331(f331(f80(a1),x56961),f331(f104(a1),f359(x56962,x56961))),x56962)+~P104(f331(f331(f244(a1),x56961),x56962)) % 159.04/158.75 [5704]P104(f331(f331(f244(a876),x57041),x57042))+P104(f331(f331(f244(a876),f331(a116,x57042)),x57041)) % 159.04/158.75 [5749]E(f331(f331(f39(a876),f331(f107(a876),x57491)),f331(f107(a876),x57492)),f2(a876))+~P104(f331(a200,f331(f107(a1),x57491))) % 159.04/158.75 [5750]E(f331(f331(f81(a876),f331(f107(a876),x57501)),f331(f107(a876),x57502)),f2(a876))+~P104(f331(f331(f245(a1),x57501),a83)) % 159.04/158.75 [5752]P104(f331(f331(f244(a876),x57521),f331(a116,x57522)))+~P104(f331(f331(f244(a876),x57521),x57522)) % 159.04/158.75 [5754]P104(f331(f331(f245(a876),x57541),f331(a116,x57542)))+~P104(f331(f331(f244(a876),x57541),x57542)) % 159.04/158.75 [5756]P104(f331(f331(f245(a876),x57561),f331(a116,x57562)))+~P104(f331(f331(f245(a876),x57561),x57562)) % 159.04/158.75 [5759]~E(x57591,x57592)+P104(f331(f331(f245(a1),x57591),f331(f331(f80(a1),x57592),f78(a1)))) % 159.04/158.75 [5762]E(f45(a1,x57621,x57622),f2(a1))+E(f331(f331(f22(a1),x57622),f45(a1,x57621,x57622)),f45(a1,f331(f79(a1),x57621),x57622)) % 159.04/158.75 [5771]E(x57711,f117(x57712))+P104(f331(f331(f333(x57712),f143(x57712,x57711)),f331(f172(x57712),x57711))) % 159.04/158.75 [5783]E(f85(f884(a876,a876),f48(x57831,x57832)),f331(f331(f265(a876,a876),f2(a876)),x57831))+~P104(f331(f331(f245(a876),x57831),x57832)) % 159.04/158.75 [5816]E(f331(f331(f22(a876),f331(f107(a876),x58161)),f331(f107(a876),x58162)),f331(f107(a876),x58161))+~P104(f331(f331(f245(a1),x58162),a83)) % 159.04/158.75 [5817]E(f331(f331(f80(a876),f331(f107(a876),x58171)),f331(f107(a876),x58172)),f331(f107(a876),x58172))+~P104(f331(f331(f245(a1),x58171),a83)) % 159.04/158.75 [5822]E(f331(a116,f331(f331(f80(a876),x58221),f348(x58222,x58221))),x58222)+~P104(f331(f331(f245(a876),x58221),x58222)) % 159.04/158.75 [5845]P104(f331(x58451,x58452))+~P104(f331(x58451,f331(a89,f700(x58452,x58451)))) % 159.04/158.75 [5853]~P104(f331(f331(f245(a876),x58531),f331(a116,x58532)))+P104(f331(f331(f244(a876),x58531),x58532)) % 159.04/158.75 [5899]E(f331(f331(f308(a876),x58991),f331(f300(a876,x58992),x58991)),f331(f300(a876,x58992),f331(a116,x58991)))+~P104(f331(f331(f244(a876),x58992),x58991)) % 159.04/158.75 [5903]E(x59031,f117(x59032))+E(f331(f331(f126(x59032),f118(x59032,x59031)),f331(f331(f150(x59032),f143(x59032,x59031)),f117(x59032))),x59031) % 159.04/158.75 [5917]P104(f331(f62(x59171),x59172))+~P104(f331(f331(f245(a876),f2(a876)),f331(f38(x59171),x59172))) % 159.04/158.75 [5919]~E(x59191,f194(f885(x59192,a871)))+~P104(f331(f331(f245(a876),f2(a876)),f331(f38(x59192),x59191))) % 159.04/158.75 [5931]~P104(f331(f331(f245(a876),x59311),x59312))+P104(f331(f331(f244(a876),f331(a116,x59311)),x59312)) % 159.04/158.75 [5939]~P107(x59391)+E(f149(x59391,x59391,f5(x59391),f151(x59391,x59392)),f138(x59391,f331(f172(x59391),x59392))) % 159.04/158.75 [5942]E(x59421,f117(x59422))+P104(f331(f331(f333(x59422),f331(f140(x59422),x59421)),f331(f172(x59422),x59421))) % 159.04/158.75 [5948]~P122(x59481)+P104(f331(f331(f245(x59481),x59482),f331(f331(f80(x59481),x59482),f78(x59481)))) % 159.04/158.75 [5950]~P86(x59501)+P104(f331(f331(f244(x59501),f331(f79(x59501),x59502)),f331(f75(x59501),x59502))) % 159.04/158.75 [5983]P104(f331(f62(a876),x59831))+~P104(f331(f331(f244(a876),f861(x59831,x59832)),x59832)) % 159.04/158.75 [5984]P104(f331(f62(a876),x59841))+~P104(f331(f331(f245(a876),f854(x59841,x59842)),x59842)) % 159.04/158.75 [5988]~P104(f331(f62(f884(x59881,x59881)),x59882))+P104(f331(f62(x59881),f331(f283(x59881),x59882))) % 159.04/158.75 [6042]~P104(f331(f331(f245(a876),x60422),f331(a116,x60421)))+~P104(f331(f331(f245(a876),x60421),x60422)) % 159.04/158.75 [6043]~P108(x60431)+E(f331(f331(f105(f885(x60431,a871)),f331(f299(x60431),x60432)),f331(f252(x60431),x60432)),f331(f331(f308(x60431),x60432),f194(f885(x60431,a871)))) % 159.04/158.75 [6056]P104(f331(f62(x60561),x60562))+~P104(f331(f62(f885(x60561,a871)),f331(f307(x60561),x60562))) % 159.04/158.75 [6080]P104(f331(f331(f244(a876),f331(a116,x60801)),f331(a116,x60802)))+~P104(f331(f331(f244(a876),x60801),x60802)) % 159.04/158.75 [6081]P104(f331(f331(f244(a876),f331(a19,x60811)),f331(a19,x60812)))+~P104(f331(f331(f244(a103),x60811),x60812)) % 159.04/158.75 [6082]P104(f331(f331(f244(a103),f331(a3,x60821)),f331(a3,x60822)))+~P104(f331(f331(f244(a876),x60821),x60822)) % 159.04/158.75 [6084]P104(f331(f331(f245(a876),f331(a116,x60841)),f331(a116,x60842)))+~P104(f331(f331(f245(a876),x60841),x60842)) % 159.04/158.75 [6085]P104(f331(f331(f245(a876),f331(a19,x60851)),f331(a19,x60852)))+~P104(f331(f331(f245(a103),x60851),x60852)) % 159.04/158.75 [6086]P104(f331(f331(f245(a103),f331(a3,x60861)),f331(a3,x60862)))+~P104(f331(f331(f245(a876),x60861),x60862)) % 159.04/158.75 [6089]E(x60891,x60892)+~E(f331(f309(a876,a1,f104(a1)),x60891),f331(f309(a876,a1,f104(a1)),x60892)) % 159.04/158.75 [6105]P104(f331(f331(f244(a876),x61051),x61052))+~P104(f331(f331(f244(a876),f331(a116,x61051)),x61052)) % 159.04/158.75 [6108]P104(f331(f331(f245(a876),x61081),x61082))+~P104(f331(f331(f244(a876),f331(a116,x61081)),x61082)) % 159.04/158.75 [6109]P104(f331(f331(f245(a876),x61091),x61092))+~P104(f331(f331(f245(a876),f331(a116,x61091)),x61092)) % 159.04/158.75 [6124]E(f45(a1,x61241,x61242),f2(a1))+E(f331(f331(f22(a1),f45(a1,x61241,x61242)),x61242),f45(a1,x61241,f331(f79(a1),x61242))) % 159.04/158.75 [6193]E(f331(f38(f885(x61931,a871)),f331(f307(x61931),x61932)),f331(f331(f255(a876),f331(a116,f331(a116,f2(a876)))),f331(f38(x61931),x61932)))+~P104(f331(f62(x61931),x61932)) % 159.04/158.75 [6196]E(x61961,f117(x61962))+E(f331(f331(f164(x61962),x61961),f331(f331(f22(a876),f331(f195(f877(x61962)),x61961)),f78(a876))),f143(x61962,x61961)) % 159.04/158.75 [6221]E(x62211,f117(x62212))+E(f331(f331(f126(x62212),f331(f171(x62212),x62211)),f331(f331(f150(x62212),f331(f140(x62212),x62211)),f117(x62212))),f331(f167(x62212),x62211)) % 159.04/158.75 [6250]~P104(f331(f62(x62501),f40(f885(x62501,a871),x62502)))+P104(f331(f62(f885(x62501,a871)),x62502)) % 159.04/158.75 [6273]P104(f331(f331(f244(a876),f331(f107(a876),x62731)),f331(f107(a876),x62732)))+~P104(f331(f331(f244(a1),x62731),a83)) % 159.04/158.75 [6290]~P104(f331(f331(f245(a1),x62901),x62902))+P104(f331(f331(f244(a1),x62901),f331(f331(f22(a1),x62902),f78(a1)))) % 159.04/158.75 [6291]~P104(f331(f331(f244(a1),x62911),x62912))+P104(f331(f331(f245(a1),x62911),f331(f331(f80(a1),x62912),f78(a1)))) % 159.04/158.75 [6292]~P104(f331(f331(f245(a1),x62921),x62922))+P104(f331(f331(f245(a1),x62921),f331(f331(f80(a1),x62922),f78(a1)))) % 159.04/158.75 [6294]~P104(f331(f331(f244(a1),x62941),x62942))+P104(f331(f331(f244(a876),f331(f107(a876),x62941)),f331(f107(a876),x62942))) % 159.04/158.75 [6296]~P104(f331(f331(f244(a876),x62961),x62962))+P104(f331(f331(f244(a1),f331(f104(a1),x62961)),f331(f104(a1),x62962))) % 159.04/158.75 [6297]~P104(f331(f331(f244(a1),x62971),x62972))+P104(f331(f331(f244(a1),f331(f107(a1),x62971)),f331(f107(a1),x62972))) % 159.04/158.75 [6299]~P104(f331(f331(f245(a876),x62991),x62992))+P104(f331(f331(f245(a1),f331(f104(a1),x62991)),f331(f104(a1),x62992))) % 159.04/158.75 [6300]~P104(f331(f331(f245(a1),x63001),x63002))+P104(f331(f331(f245(a1),f331(f107(a1),x63001)),f331(f107(a1),x63002))) % 159.04/158.75 [6301]~P104(f331(f331(f91(a1),x63011),x63012))+P104(f331(f331(f91(a1),f331(f107(a1),x63011)),f331(f107(a1),x63012))) % 159.04/158.75 [6319]~P104(f331(f331(f244(a876),x63191),x63192))+~P104(f331(f331(f244(a876),f331(a116,x63192)),x63191)) % 159.04/158.75 [6361]~P104(f331(f331(f244(a876),f331(a116,x63611)),f331(a116,x63612)))+P104(f331(f331(f244(a876),x63611),x63612)) % 159.04/158.75 [6362]~P104(f331(f331(f244(a103),f331(a3,x63621)),f331(a3,x63622)))+P104(f331(f331(f244(a876),x63621),x63622)) % 159.04/158.75 [6363]~P104(f331(f331(f244(a876),f331(a19,x63631)),f331(a19,x63632)))+P104(f331(f331(f244(a103),x63631),x63632)) % 159.04/158.75 [6365]~P104(f331(f331(f245(a876),f331(a116,x63651)),f331(a116,x63652)))+P104(f331(f331(f245(a876),x63651),x63652)) % 159.04/158.75 [6366]~P104(f331(f331(f245(a103),f331(a3,x63661)),f331(a3,x63662)))+P104(f331(f331(f245(a876),x63661),x63662)) % 159.04/158.75 [6367]~P104(f331(f331(f245(a876),f331(a108,x63671)),f331(a108,x63672)))+P104(f331(f331(f245(a1),x63671),x63672)) % 159.04/158.75 [6368]~P104(f331(f331(f245(a876),f331(a19,x63681)),f331(a19,x63682)))+P104(f331(f331(f245(a103),x63681),x63682)) % 159.04/158.75 [6408]~P104(f331(f331(f245(a876),f331(a108,x64082)),f331(a108,x64081)))+P104(f331(f331(f245(a1),f2(a1)),x64081)) % 159.04/158.75 [6439]P104(f331(f331(f244(a1),f2(a1)),f45(a1,x64391,x64392)))+~P104(f331(f331(f245(a1),f2(a1)),x64392)) % 159.04/158.75 [6597]P39(x65971,x65972)+~E(f331(f331(f287(x65971,x65971,x65971),x65972),x65972),f194(f885(f884(x65971,x65971),a871))) % 159.04/158.75 [6609]~P39(x66091,x66092)+P39(x66091,f331(f331(f287(x66091,x66091,x66091),x66092),x66092)) % 159.04/158.75 [6621]P104(f331(f331(f244(a1),x66211),x66212))+~P104(f331(f331(f245(a1),x66211),f331(f331(f80(a1),x66212),f78(a1)))) % 159.04/158.75 [6622]P104(f331(f331(f245(a1),x66221),x66222))+~P104(f331(f331(f244(a1),x66221),f331(f331(f22(a1),x66222),f78(a1)))) % 159.04/158.75 [6625]P104(f331(f331(f244(a876),x66251),x66252))+~P104(f331(f331(f244(a1),f331(f104(a1),x66251)),f331(f104(a1),x66252))) % 159.04/158.75 [6626]P104(f331(f331(f244(a1),x66261),x66262))+~P104(f331(f331(f244(a1),f331(f107(a1),x66261)),f331(f107(a1),x66262))) % 159.04/158.75 [6628]P104(f331(f331(f245(a876),x66281),x66282))+~P104(f331(f331(f245(a1),f331(f104(a1),x66281)),f331(f104(a1),x66282))) % 159.04/158.75 [6629]P104(f331(f331(f245(a1),x66291),x66292))+~P104(f331(f331(f245(a876),f331(f107(a876),x66291)),f331(f107(a876),x66292))) % 159.04/158.75 [6630]P104(f331(f331(f245(a1),x66301),x66302))+~P104(f331(f331(f245(a1),f331(f107(a1),x66301)),f331(f107(a1),x66302))) % 159.04/158.75 [6631]P104(f331(f331(f91(a1),x66311),x66312))+~P104(f331(f331(f91(a1),f331(f107(a1),x66311)),f331(f107(a1),x66312))) % 159.04/158.75 [6725]~E(f635(x67252,x67251),f117(x67251))+E(f331(f141(f877(x67251),f877(x67251),f126(x67251),f117(x67251)),x67252),f117(x67251)) % 159.04/158.75 [6726]~E(f637(x67262,x67261),f117(x67261))+E(f331(f141(f877(x67261),f877(x67261),f126(x67261),f117(x67261)),x67262),f117(x67261)) % 159.04/158.75 [6733]~P28(x67331)+E(f331(f141(x67331,x67331,f114(x67331),f194(x67331)),x67332),f40(x67331,f331(f172(x67331),x67332))) % 159.04/158.75 [6734]~P28(x67341)+E(f331(f141(x67341,x67341,f105(x67341),f253(x67341)),x67342),f41(x67341,f331(f172(x67341),x67342))) % 159.04/158.75 [6746]E(x67461,f2(a103))+E(f331(f331(f80(a876),f331(a19,f331(f331(f22(a103),x67461),f78(a103)))),f331(a116,x67462)),f331(f331(f80(a876),f331(a19,x67461)),x67462)) % 159.04/158.75 [6796]P104(f331(f331(f245(a1),f331(f331(f22(a1),x67961),x67962)),f2(a1)))+~P104(f331(f331(f245(a1),x67961),x67962)) % 159.04/158.75 [6823]~P107(x68231)+E(f331(f331(f114(f885(x68231,a871)),f331(f331(f308(x68231),x68232),f194(f885(x68231,a871)))),f331(f302(x68231),x68232)),f331(f252(x68231),x68232)) % 159.04/158.75 [6898]~P57(x68981,x68982)+P39(x68981,f331(f250(f884(x68981,x68981)),f331(f269(x68981,x68981,a871),x68982))) % 159.04/158.75 [6899]~P57(x68991,x68992)+P55(x68991,f331(f250(f884(x68991,x68991)),f331(f269(x68991,x68991,a871),x68992))) % 159.04/158.75 [6900]E(x69001,f194(f885(x69002,a871)))+~P104(f331(f331(f244(f885(x69002,a871)),x69001),f194(f885(x69002,a871)))) % 159.04/158.75 [6983]~P104(f331(f331(f245(a876),f2(a876)),x69832))+P104(f331(f331(f244(a876),f45(a876,x69831,x69832)),x69832)) % 159.04/158.75 [6984]~P104(f331(f331(f244(a1),f2(a1)),x69841))+P104(f331(f331(f244(a1),f45(a1,x69841,x69842)),x69841)) % 159.04/158.75 [6985]~P104(f331(f331(f245(a876),f2(a876)),x69852))+P104(f331(f331(f245(a876),f45(a876,x69851,x69852)),x69852)) % 159.04/158.75 [6987]~P104(f331(f331(f245(a1),f2(a1)),x69872))+P104(f331(f331(f245(a1),f45(a1,x69871,x69872)),x69872)) % 159.04/158.75 [7065]~P108(x70651)+E(f331(f331(f22(f885(x70651,a871)),f331(f331(f308(x70651),x70652),f194(f885(x70651,a871)))),f331(f251(x70651),x70652)),f331(f331(f308(x70651),x70652),f194(f885(x70651,a871)))) % 159.04/158.75 [7138]~P51(x71381,x71382)+P49(x71381,f253(f885(x71381,a871)),f331(f250(f884(x71381,x71381)),f331(f269(x71381,x71381,a871),x71382))) % 159.04/158.75 [7139]P104(f331(x71391,x71392))+P104(f331(f331(f333(f885(f884(a876,a876),a871)),f700(x71392,x71391)),a102)) % 159.04/158.75 [7184]E(f331(f331(f126(a876),f138(a876,f331(f300(a876,x71841),x71842))),f331(f331(f150(a876),x71842),f117(a876))),f138(a876,f331(f300(a876,x71841),f331(a116,x71842))))+~P104(f331(f331(f244(a876),x71841),x71842)) % 159.04/158.75 [7325]E(x73251,f2(a876))+~E(f331(f141(a876,a876,f80(a876),x73251),x73252),f2(a876)) % 159.04/158.75 [7353]~P104(f331(f331(f245(a1),f331(f331(f22(a1),x73531),x73532)),f2(a1)))+P104(f331(f331(f245(a1),x73531),x73532)) % 159.04/158.75 [7382]P39(x73821,x73822)+~P39(x73821,f331(f331(f287(x73821,x73821,x73821),x73822),x73822)) % 159.04/158.75 [7411]~P104(f331(f331(f244(a876),f331(a116,x74111)),x74112))+P104(f191(a871,a248,f331(f244(a876),x74111),x74112)) % 159.04/158.75 [7569]P21(a876,a876,f331(f331(f7(a876,a876,a876),f22(a876)),x75691),x75692)+P104(f331(f331(f333(a876),f462(x75691,x75692)),x75692)) % 159.04/158.75 [7625]E(f331(f331(f331(f66(a876,x76251,f80(a876)),f331(f16(a876,x76251),f78(a876))),f2(a876)),x76252),f331(f38(x76251),x76252))+~P104(f331(f62(x76251),x76252)) % 159.04/158.75 [7667]P21(a876,a876,f331(f331(f7(a876,a876,a876),f22(a876)),x76671),x76672)+~P104(f331(f331(f244(a876),x76671),f462(x76671,x76672))) % 159.04/158.75 [7725]P39(x77251,x77252)+P104(f331(f331(f244(f885(x77251,a871)),f706(x77252,x77251)),f331(f284(x77251,x77251,x77252),f706(x77252,x77251)))) % 159.04/158.75 [7730]P57(x77301,x77302)+~P39(x77301,f331(f250(f884(x77301,x77301)),f331(f269(x77301,x77301,a871),x77302))) % 159.04/158.75 [7799]P104(f331(f331(f244(a876),f331(a116,x77991)),x77992))+~P104(f191(a871,a248,f331(f244(a876),x77991),x77992)) % 159.04/158.75 [7853]P104(f331(f331(f333(f884(a876,a876)),f331(f331(f265(a876,a876),x78531),x78532)),f306(a876,a321)))+~P104(f331(f331(f244(a876),x78531),x78532)) % 159.04/158.75 [7950]P51(x79501,x79502)+~P49(x79501,f253(f885(x79501,a871)),f331(f250(f884(x79501,x79501)),f331(f269(x79501,x79501,a871),x79502))) % 159.04/158.75 [8010]~P104(f331(f136(x80101),x80102))+P104(f331(f136(f885(x80101,a871)),f331(f331(f153(f877(x80101),f885(x80101,a871)),f172(x80101)),f54(x80101,x80102)))) % 159.04/158.75 [8215]~P39(x82151,f331(f285(x82151,x82151),x82152))+P39(x82151,f331(f285(x82151,x82151),f331(f331(f287(x82151,x82151,x82151),x82152),f306(x82151,x82152)))) % 159.04/158.75 [8336]P104(f331(f62(f884(x83361,x83361)),f331(f331(f287(x83361,x83361,x83361),x83362),f306(x83361,x83362))))+~P104(f331(f62(f884(x83361,x83361)),x83362)) % 159.04/158.75 [8367]E(x83671,f2(a1))+P104(f331(f49(x83672,x83671),f331(f331(f265(a1,a1),f331(f331(f39(a1),x83672),x83671)),f45(a1,x83672,x83671)))) % 159.04/158.75 [8378]~P104(f331(f331(f333(f884(a876,a876)),f331(f331(f265(a876,a876),x83781),x83782)),f306(a876,a321)))+P104(f331(f331(f244(a876),x83781),x83782)) % 159.04/158.75 [8396]~P80(x83961)+E(f331(f141(x83961,x83961,f331(f7(x83961,x83961,x83961),f80(x83961)),f2(x83961)),f331(f168(x83961),x83962)),f331(f141(x83961,x83961,f80(x83961),f2(x83961)),x83962)) % 159.04/158.75 [8573]~P107(x85731)+E(f331(f141(f877(x85731),x85731,f331(f7(x85731,f877(x85731),f877(x85731)),f147(x85731,x85731,f5(x85731))),f117(x85731)),x85732),f149(x85731,x85731,f5(x85731),x85732)) % 159.04/158.75 [8674]~P55(x86741,f331(f250(f884(x86741,x86741)),f331(f269(x86741,x86741,a871),x86742)))+P55(x86741,f331(f250(f884(x86741,x86741)),f331(f269(x86741,x86741,a871),f254(x86741,x86741,x86742)))) % 159.04/158.75 [8688]P104(f331(f331(f333(f884(a876,a876)),f331(f331(f265(a876,a876),x86881),x86882)),f331(f331(f287(a876,a876,a876),a321),f306(a876,a321))))+~P104(f331(f331(f245(a876),x86881),x86882)) % 159.04/158.75 [8731]~P104(f331(f62(f884(x87311,x87311)),f331(f331(f287(x87311,x87311,x87311),x87312),f306(x87311,x87312))))+P104(f331(f62(f884(x87311,x87311)),x87312)) % 159.04/158.75 [8782]~P55(x87821,f331(f250(f884(x87821,x87821)),f331(f269(x87821,x87821,a871),f254(x87821,x87821,x87822))))+P55(x87821,f331(f250(f884(x87821,x87821)),f331(f269(x87821,x87821,a871),x87822))) % 159.04/158.75 [8985]P55(x89851,x89852)+P104(f331(f331(f333(f884(x89851,x89851)),f331(f331(f265(x89851,x89851),f746(x89852,x89851)),f746(x89852,x89851))),f331(f331(f287(x89851,x89851,x89851),x89852),f306(x89851,x89852)))) % 159.04/158.75 [8986]P55(x89861,x89862)+P104(f331(f331(f333(f884(x89861,x89861)),f331(f331(f265(x89861,x89861),f763(x89862,x89861)),f763(x89862,x89861))),f331(f331(f287(x89861,x89861,x89861),x89862),f306(x89861,x89862)))) % 159.04/158.75 [9102]~P104(f331(f331(f333(f884(a876,a876)),f331(f331(f265(a876,a876),x91021),x91022)),f331(f331(f287(a876,a876,a876),a321),f306(a876,a321))))+P104(f331(f331(f245(a876),x91021),x91022)) % 159.04/158.75 [5070]~P92(x50701)+E(f331(f331(f80(x50701),f331(f107(x50701),a83)),x50702),x50702) % 159.04/158.75 [5098]~P81(x50981)+E(f331(f331(f114(x50981),f331(f79(x50981),x50982)),x50982),f253(x50981)) % 159.04/158.75 [5099]~P81(x50991)+E(f331(f331(f105(x50991),f331(f79(x50991),x50992)),x50992),f194(x50991)) % 159.04/158.75 [5100]~P64(x51001)+E(f331(f331(f80(x51001),f331(f79(x51001),x51002)),x51002),f2(x51001)) % 159.04/158.75 [5101]~P65(x51011)+E(f331(f331(f80(x51011),f331(f79(x51011),x51012)),x51012),f2(x51011)) % 159.04/158.75 [5133]~P92(x51331)+E(f331(f331(f81(x51331),f331(f107(x51331),a101)),x51332),f331(f79(x51331),x51332)) % 159.04/158.75 [5302]~P111(x53021)+E(f331(f331(f81(x53021),f331(f79(x53021),f78(x53021))),x53022),f331(f79(x53021),x53022)) % 159.04/158.75 [5346]E(f331(f75(a1),x53461),f78(a1))+~E(f331(f75(a1),f331(f331(f81(a1),x53461),x53462)),f78(a1)) % 159.04/158.75 [5439]~P92(x54391)+E(f331(f331(f80(x54391),f78(x54391)),f331(f107(x54391),x54392)),f331(f107(x54391),f331(f331(f22(a1),x54392),a101))) % 159.04/158.75 [5493]~P75(x54931)+E(f11(x54931,f331(f331(f308(x54931),x54932),f194(f885(x54931,a871)))),x54932) % 159.04/158.75 [5494]~P75(x54941)+E(f10(x54941,f331(f331(f308(x54941),x54942),f194(f885(x54941,a871)))),x54942) % 159.04/158.75 [5495]~P107(x54951)+E(f14(x54951,f331(f331(f308(x54951),x54952),f194(f885(x54951,a871)))),x54952) % 159.04/158.75 [5496]~P107(x54961)+E(f15(x54961,f331(f331(f308(x54961),x54962),f194(f885(x54961,a871)))),x54962) % 159.04/158.75 [5497]~P28(x54971)+E(f40(x54971,f331(f331(f308(x54971),x54972),f194(f885(x54971,a871)))),x54972) % 159.04/158.75 [5498]~P28(x54981)+E(f41(x54981,f331(f331(f308(x54981),x54982),f194(f885(x54981,a871)))),x54982) % 159.04/158.75 [5520]E(f331(f331(f80(a876),x55201),f331(f331(f22(a876),x55202),x55201)),x55202)+P104(f331(f331(f245(a876),x55202),x55201)) % 159.04/158.75 [5550]E(x55501,f117(x55502))+P104(f331(f331(f245(a876),f2(a876)),f331(f195(f877(x55502)),x55501))) % 159.04/158.75 [5675]~P107(x56751)+E(f12(x56751,f242(x56751),f331(f331(f308(x56751),x56752),f194(f885(x56751,a871)))),x56752) % 159.04/158.75 [5676]~P107(x56761)+E(f13(x56761,f243(x56761),f331(f331(f308(x56761),x56762),f194(f885(x56761,a871)))),x56762) % 159.04/158.75 [5739]E(f331(f331(f22(a876),x57391),f331(f331(f22(a876),x57391),x57392)),x57392)+~P104(f331(f331(f244(a876),x57392),x57391)) % 159.04/158.75 [5740]E(f331(f331(f80(a876),x57401),f331(f331(f22(a876),x57402),x57401)),x57402)+~P104(f331(f331(f244(a876),x57401),x57402)) % 159.04/158.75 [5761]E(f45(a876,f331(f331(f22(a876),x57611),x57612),x57612),f45(a876,x57611,x57612))+P104(f331(f331(f245(a876),x57611),x57612)) % 159.04/158.75 [5772]E(f331(f79(a1),f331(f331(f39(a1),x57721),f331(f79(a1),x57722))),f290(x57721,x57722))+P104(f331(f331(f244(a1),f2(a1)),x57722)) % 159.04/158.75 [5774]~E(x57742,f2(a876))+P104(f331(f331(f245(a876),f2(a876)),f331(f331(f255(a876),x57741),x57742))) % 159.04/158.75 [5825]~P92(x58251)+E(f331(f331(f80(x58251),f331(f79(x58251),f78(x58251))),f331(f107(x58251),x58252)),f331(f107(x58251),f331(f331(f80(a1),x58252),a101))) % 159.04/158.75 [5826]E(f331(f331(f255(a876),f331(f107(a876),x58261)),x58262),f331(f331(f255(a876),f2(a876)),x58262))+~P104(f331(a200,f331(f107(a1),x58261))) % 159.04/158.75 [5923]E(f331(f140(a876),f138(a876,f331(f300(a876,x59231),x59232))),x59231)+~P104(f331(f331(f245(a876),x59231),x59232)) % 159.04/158.75 [5943]E(f331(f331(f81(a876),f331(f107(a876),x59431)),f331(f107(a876),x59432)),f331(f107(a876),f331(f331(f81(a1),x59431),x59432)))+P104(f331(f331(f245(a1),x59431),a83)) % 159.04/158.75 [5949]~P123(x59491)+P104(f331(f331(f244(x59491),f2(x59491)),f331(f331(f81(x59491),x59492),x59492))) % 159.04/158.75 [5961]E(f331(f331(f22(a876),f331(a116,x59611)),x59612),f331(a116,f331(f331(f22(a876),x59611),x59612)))+~P104(f331(f331(f244(a876),x59612),x59611)) % 159.04/158.75 [5964]E(f45(a876,f331(f331(f22(a876),x59641),x59642),x59642),f45(a876,x59641,x59642))+~P104(f331(f331(f244(a876),x59642),x59641)) % 159.04/158.75 [6017]E(f331(f331(f255(a876),f331(a108,x60171)),x60172),f331(a108,f331(f331(f255(a1),x60171),x60172)))+~P104(f331(f331(f244(a1),f2(a1)),x60171)) % 159.04/158.75 [6033]P104(f331(f136(x60331),x60332))+P104(f331(f331(f245(a876),f539(x60332,x60331)),f331(f195(f877(x60331)),x60332))) % 159.04/158.75 [6034]P104(f331(f136(x60341),x60342))+P104(f331(f331(f245(a876),f546(x60342,x60341)),f331(f195(f877(x60341)),x60342))) % 159.04/158.75 [6049]~E(x60491,f117(x60492))+~P104(f331(f331(f245(a876),f2(a876)),f331(f195(f877(x60492)),x60491))) % 159.04/158.75 [6063]E(f143(a876,f138(a876,f331(f300(a876,x60631),x60632))),f331(f331(f22(a876),x60632),f78(a876)))+~P104(f331(f331(f245(a876),x60631),x60632)) % 159.04/158.75 [6066]E(f331(f331(f80(a1),x60661),f331(f104(a1),f331(a116,f362(x60662,x60661)))),x60662)+~P104(f331(f331(f245(a1),x60661),x60662)) % 159.04/158.75 [6073]E(x60731,f2(a876))+E(f331(f331(f81(a876),x60732),f331(f331(f255(a876),x60732),f331(f331(f22(a876),x60731),f78(a876)))),f331(f331(f255(a876),x60732),x60731)) % 159.04/158.75 [6099]E(f331(f331(f81(a876),f331(a108,x60991)),f331(a108,x60992)),f331(a108,f331(f331(f81(a1),x60991),x60992)))+~P104(f331(f331(f244(a1),f2(a1)),x60991)) % 159.04/158.75 [6100]E(f331(f331(f39(a876),f331(a108,x61001)),f331(a108,x61002)),f331(a108,f331(f331(f39(a1),x61001),x61002)))+~P104(f331(f331(f244(a1),f2(a1)),x61001)) % 159.04/158.75 [6114]~P114(x61141)+E(f331(f331(f80(x61141),x61142),x61142),f331(f331(f81(x61141),f331(f331(f80(x61141),f78(x61141)),f78(x61141))),x61142)) % 159.04/158.75 [6131]E(f331(f331(f22(a1),f331(f104(a1),x61311)),f331(f104(a1),x61312)),f331(f104(a1),f331(f331(f22(a876),x61311),x61312)))+~P104(f331(f331(f244(a876),x61312),x61311)) % 159.04/158.75 [6133]E(f331(f331(f265(a1,a1),f331(f107(a1),a101)),f331(f331(f80(a1),x61331),x61332)),f50(x61331,x61332))+~P104(f331(f331(f244(a1),x61332),f2(a1))) % 159.04/158.75 [6173]E(f180(x61731,x61732),f117(f877(x61731)))+P104(f331(f331(f333(f877(x61731)),f585(x61732,x61731)),f331(f172(f877(x61731)),x61732))) % 159.04/158.75 [6256]E(f331(f331(f150(a1),x62561),f179(f331(f331(f80(a1),x62561),f78(a1)),x62562)),f179(x62561,x62562))+~P104(f331(f331(f244(a1),x62561),x62562)) % 159.04/158.75 [6293]~P104(f331(f331(f245(a876),x62932),x62931))+P104(f331(f331(f245(a876),f2(a876)),f331(f331(f22(a876),x62931),x62932))) % 159.04/158.75 [6324]~P104(f331(f331(f245(a876),x63241),f331(a108,x63242)))+P104(f331(f331(f245(a1),f331(f104(a1),x63241)),x63242)) % 159.04/158.75 [6353]~P107(x63531)+E(f331(f331(f114(f885(x63531,a871)),f331(f251(x63531),x63532)),f331(f331(f308(x63531),x63532),f194(f885(x63531,a871)))),f331(f299(x63531),x63532)) % 159.04/158.75 [6354]~P104(f331(f331(f244(a1),f2(a1)),x63541))+P104(f331(f331(f244(a1),f2(a1)),f331(f331(f255(a1),x63541),x63542))) % 159.04/158.75 [6357]~P104(f331(f331(f245(a876),f2(a876)),x63571))+P104(f331(f331(f245(a876),f2(a876)),f331(f331(f255(a876),x63571),x63572))) % 159.04/158.75 [6384]~E(f331(x63841,f2(a876)),f2(a876))+E(f331(f331(f6(a876,a876),x63841),f301(a876,f331(a116,f2(a876)),x63842)),f331(f331(f6(a876,a876),x63841),f301(a876,f2(a876),x63842))) % 159.04/158.75 [6447]~P92(x64471)+E(f331(f331(f81(x64471),f331(f331(f80(x64471),f78(x64471)),f78(x64471))),f331(f107(x64471),x64472)),f331(f107(x64471),f331(f331(f80(a1),x64472),x64472))) % 159.04/158.75 [6463]E(f331(f331(f308(a1),x64631),f301(a1,f331(f331(f80(a1),x64631),f78(a1)),x64632)),f301(a1,x64631,x64632))+P104(f331(f331(f245(a1),x64632),x64631)) % 159.04/158.75 [6464]P104(f331(f331(f245(a876),x64641),f331(a108,x64642)))+~P104(f331(f331(f245(a1),f331(f104(a1),x64641)),x64642)) % 159.04/158.75 [6565]E(f331(a108,f331(f331(f39(a1),f331(f107(a1),x65651)),f331(f107(a1),x65652))),f331(f331(f39(a876),f331(f107(a876),x65651)),f331(f107(a876),x65652)))+P104(f331(a200,f331(f107(a1),x65651))) % 159.04/158.75 [6623]P104(f331(f331(f245(a876),x66231),x66232))+~P104(f331(f331(f245(a876),f2(a876)),f331(f331(f22(a876),x66232),x66231))) % 159.04/158.75 [6668]P104(f331(f331(f245(a876),f2(a876)),x66681))+~P104(f331(f331(f245(a876),f2(a876)),f331(f331(f81(a876),x66682),x66681))) % 159.04/158.75 [6669]P104(f331(f331(f245(a876),f2(a876)),x66691))+~P104(f331(f331(f245(a876),f2(a876)),f331(f331(f81(a876),x66691),x66692))) % 159.04/158.75 [6686]~P104(f331(f331(f244(a1),x66861),f2(a1)))+E(f331(f331(f81(a876),f331(a108,f331(f79(a1),x66861))),f331(a108,f331(f79(a1),x66862))),f331(a108,f331(f331(f81(a1),x66861),x66862))) % 159.04/158.75 [6744]~E(x67442,f194(f885(x67441,a871)))+P104(f331(f331(f244(f885(x67441,a871)),x67442),f331(f79(f885(x67441,a871)),x67442))) % 159.04/158.75 [6807]~P92(x68071)+E(f331(f331(f80(x68071),f331(f331(f80(x68071),f2(x68071)),f331(f107(x68071),x68072))),f331(f107(x68071),x68072)),f331(f107(x68071),f331(f331(f80(a1),x68072),x68072))) % 159.04/158.75 [6863]~P104(f331(f331(f245(a1),x68631),x68632))+P104(f331(f331(f244(a1),f331(f331(f80(a1),x68631),f78(a1))),x68632)) % 159.04/158.75 [6930]E(x69301,f2(a876))+~P104(f331(f331(f244(a1),f331(f104(a1),x69302)),f331(f79(a1),f331(f104(a1),x69301)))) % 159.04/158.75 [6931]E(x69311,f2(a876))+~P104(f331(f331(f244(a1),f331(f104(a1),x69311)),f331(f79(a1),f331(f104(a1),x69312)))) % 159.04/158.75 [7036]E(f331(f331(f265(a1,a1),f331(f107(a1),a101)),f331(f331(f80(a1),x70361),x70362)),f50(x70361,x70362))+~P104(f331(f331(f244(a1),f2(a1)),f331(f331(f80(a1),x70361),x70362))) % 159.04/158.75 [7078]~P22(x70781,x70782)+P39(x70781,f331(f264(f885(f884(x70781,x70781),a871),f885(f884(x70781,x70781),a871)),x70782)) % 159.04/158.75 [7096]~P104(f331(f331(f244(a876),f331(a116,f2(a876))),x70961))+P104(f331(f331(f244(a876),f331(a116,f2(a876))),f331(f331(f255(a876),x70961),x70962))) % 159.04/158.75 [7266]~P104(f331(f331(f244(a1),x72661),x72662))+P104(f331(f331(f244(a1),f331(f331(f80(a1),x72661),x72661)),f331(f331(f80(a1),x72662),x72662))) % 159.04/158.75 [7271]~P104(f331(f331(f245(a1),x72711),x72712))+P104(f331(f331(f245(a1),f331(f331(f80(a1),x72711),x72711)),f331(f331(f80(a1),x72712),x72712))) % 159.04/158.75 [7272]~P104(f331(f331(f91(a1),x72721),x72722))+P104(f331(f331(f91(a1),f331(f331(f80(a1),x72721),x72721)),f331(f331(f80(a1),x72722),x72722))) % 159.04/158.75 [7327]~P104(f331(f331(f245(a876),f2(a876)),x73271))+P104(f331(f331(f245(a876),f331(f331(f22(a876),x73271),f331(a116,x73272))),x73271)) % 159.04/158.75 [7364]P104(f331(f331(f244(a876),f331(a116,f2(a876))),x73641))+~P104(f331(f331(f244(a876),f331(a116,f2(a876))),f331(f331(f81(a876),x73642),x73641))) % 159.04/158.75 [7365]P104(f331(f331(f244(a876),f331(a116,f2(a876))),x73651))+~P104(f331(f331(f244(a876),f331(a116,f2(a876))),f331(f331(f81(a876),x73651),x73652))) % 159.04/158.75 [7369]P104(f331(f331(f244(a876),f331(f331(f164(a876),x73691),x73692)),f331(f165(a876),x73691)))+~P104(f331(f331(f245(a876),x73692),f331(f195(f877(a876)),x73691))) % 159.04/158.75 [7410]P104(f331(f331(f245(a1),x74101),x74102))+~P104(f331(f331(f244(a1),f331(f331(f80(a1),x74101),f78(a1))),x74102)) % 159.04/158.75 [7455]P104(f331(f62(x74551),f253(f885(x74551,a871))))+~P104(f331(f62(f885(x74552,x74551)),f253(f885(f885(x74552,x74551),a871)))) % 159.04/158.75 [7456]P104(f331(f62(x74561),f253(f885(x74561,a871))))+~P104(f331(f62(f883(x74562,x74561)),f253(f885(f883(x74562,x74561),a871)))) % 159.04/158.75 [7457]P104(f331(f62(x74571),f253(f885(x74571,a871))))+~P104(f331(f62(f883(x74571,x74572)),f253(f885(f883(x74571,x74572),a871)))) % 159.04/158.75 [7499]E(x74991,f194(f885(x74992,a871)))+~P104(f331(f331(f244(f885(x74992,a871)),x74991),f331(f79(f885(x74992,a871)),x74991))) % 159.04/158.75 [7635]E(f331(f141(f877(x76351),f877(x76351),f126(x76351),f117(x76351)),x76352),f117(x76351))+P104(f331(f331(f333(f877(x76351)),f635(x76352,x76351)),f331(f172(f877(x76351)),x76352))) % 159.04/158.75 [7636]E(f331(f141(f877(x76361),f877(x76361),f126(x76361),f117(x76361)),x76362),f117(x76361))+P104(f331(f331(f333(f877(x76361)),f637(x76362,x76361)),f331(f172(f877(x76361)),x76362))) % 159.04/158.75 [7870]P104(f331(f331(f244(a1),x78701),x78702))+~P104(f331(f331(f244(a1),f331(f331(f80(a1),x78701),x78701)),f331(f331(f80(a1),x78702),x78702))) % 159.04/158.75 [7875]P104(f331(f331(f245(a1),x78751),x78752))+~P104(f331(f331(f245(a1),f331(f331(f80(a1),x78751),x78751)),f331(f331(f80(a1),x78752),x78752))) % 159.04/158.75 [7876]P104(f331(f331(f91(a1),x78761),x78762))+~P104(f331(f331(f91(a1),f331(f331(f80(a1),x78761),x78761)),f331(f331(f80(a1),x78762),x78762))) % 159.04/158.75 [7970]~P114(x79701)+E(f331(f331(f81(x79701),f331(f331(f80(x79701),f78(x79701)),f78(x79701))),f331(f331(f6(a876,x79701),f104(x79701)),f301(a876,f78(a876),x79702))),f331(f331(f81(x79701),f331(f104(x79701),x79702)),f331(f331(f80(x79701),f331(f104(x79701),x79702)),f78(x79701)))) % 159.04/158.75 [8026]P104(f331(f331(f333(a876),x80261),x80262))+~P104(f331(f331(f333(a1),f331(f104(a1),x80261)),f331(f309(a876,a1,f104(a1)),x80262))) % 159.04/158.75 [8186]~P104(f331(f62(x81861),x81862))+E(f331(f309(a876,x81861,f433(x81862,x81861)),f331(f250(a876),f331(f331(f7(a876,a876,a871),f245(a876)),f434(x81862,x81861)))),x81862) % 159.04/158.75 [8475]P50(x84751,x84752)+P104(f331(f331(f333(f884(x84751,x84751)),f331(f331(f265(x84751,x84751),f520(x84752,x84751)),f520(x84752,x84751))),x84752)) % 159.04/158.75 [8614]~P92(x86141)+E(f331(f331(f22(x86141),f78(x86141)),f331(f107(x86141),x86142)),f331(f107(x86141),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f79(a1),x86142)))) % 159.04/158.75 [8728]~P104(f331(f331(f245(f885(a876,a871)),x87281),x87282))+P104(f331(f331(f245(f885(a1,a871)),f331(f309(a876,a1,f104(a1)),x87281)),f331(f309(a876,a1,f104(a1)),x87282))) % 159.04/158.75 [8756]~P104(f331(f331(f245(a1),x87561),x87562))+P104(f331(f331(f244(a1),f331(f331(f22(a1),f331(f331(f80(a1),x87561),x87561)),a101)),f331(f331(f80(a1),x87562),x87562))) % 159.04/158.75 [8758]~P104(f331(f331(f245(a1),x87581),x87582))+P104(f331(f331(f245(a1),f331(f331(f22(a1),f331(f331(f80(a1),x87581),x87581)),a101)),f331(f331(f80(a1),x87582),x87582))) % 159.04/158.75 [8829]~P104(f331(f331(f333(a876),x88291),f331(f172(a876),x88292)))+P104(f331(f331(f244(a876),x88291),f331(f141(a876,a876,f80(a876),f2(a876)),x88292))) % 159.04/158.75 [8922]P46(x89221,x89222)+~P104(f331(f331(f333(f884(x89221,x89221)),f331(f331(f265(x89221,x89221),f516(x89222,x89221)),f516(x89222,x89221))),x89222)) % 159.04/158.75 [9068]~P104(f331(f331(f244(f885(a1,a871)),f331(f309(a876,a1,f104(a1)),x90681)),f331(f309(a876,a1,f104(a1)),x90682)))+P104(f331(f331(f244(f885(a876,a871)),x90681),x90682)) % 159.04/158.75 [9069]~P104(f331(f331(f245(f885(a1,a871)),f331(f309(a876,a1,f104(a1)),x90691)),f331(f309(a876,a1,f104(a1)),x90692)))+P104(f331(f331(f245(f885(a876,a871)),x90691),x90692)) % 159.04/158.75 [9149]P104(f331(f331(f245(a1),x91491),x91492))+~P104(f331(f331(f244(a1),f331(f331(f22(a1),f331(f331(f80(a1),x91491),x91491)),a101)),f331(f331(f80(a1),x91492),x91492))) % 159.04/158.75 [9151]P104(f331(f331(f245(a1),x91511),x91512))+~P104(f331(f331(f245(a1),f331(f331(f22(a1),f331(f331(f80(a1),x91511),x91511)),a101)),f331(f331(f80(a1),x91512),x91512))) % 159.04/158.75 [10035]~P102(x100351)+E(f120(f877(x100351),f331(f127(f877(x100351)),f117(x100351)),f331(f331(f331(f100(f878(f877(x100351))),f331(f331(f245(a1),f2(a1)),x100352)),f331(f122(f884(x100351,f877(x100351)),f877(x100351),f132(x100351,f877(x100351),f134(x100351,f331(f331(f22(a1),x100352),f78(a1))),f134(f877(x100351),f331(f331(f22(a1),x100352),f78(a1))))),f331(f269(x100351,f877(x100351),f878(f877(x100351))),f331(f331(f8(f885(f877(x100351),f877(x100351)),f885(f877(x100351),f878(f877(x100351))),x100351),f331(f8(f877(x100351),f878(f877(x100351)),f877(x100351)),f127(f877(x100351)))),f150(x100351))))),f119(f877(x100351)))),f134(f877(x100351),x100352)) % 159.04/158.75 [10057]~P104(f331(f62(x100571),x100572))+E(f331(f195(f877(x100571)),f90(f877(x100571),f331(f331(f18(f877(x100571),a871,a871),f331(f331(f8(a871,f885(a871,a871),f877(x100571)),a329),f331(f331(f7(f877(x100571),f885(x100571,a871),a871),f331(f331(f8(f885(x100571,a871),f885(f885(x100571,a871),a871),f877(x100571)),a328),f172(x100571))),x100572))),f136(x100571)))),f223(x100571,x100572)) % 159.04/158.75 [10193]~P20(a872,x101931,f331(f331(f308(f875(a872)),f331(f331(f331(f92(a872),a328),x101932),f201(x101932))),f194(f885(f875(a872),a871))))+P20(a872,x101931,f331(f331(f308(f875(a872)),f331(f331(f331(f92(a872),f331(f331(f8(f885(a872,f885(a872,a871)),f885(a872,a871),a872),f331(f8(f885(a872,a871),a871,a872),f88(a872))),f331(f331(f8(f885(a872,a871),f885(a872,f885(a872,a871)),a872),f331(f7(a872,f885(a872,a871),f885(a872,a871)),f331(f331(f8(f885(a872,f885(a871,a871)),f885(f885(a872,a871),f885(a872,a871)),a872),f18(a872,a871,a871)),f331(f331(f8(f885(a872,a871),f885(a872,f885(a871,a871)),a872),f331(f8(a871,f885(a871,a871),a872),a334)),f201(x101932))))),a328))),x101932),a328)),f194(f885(f875(a872),a871)))) % 159.04/158.75 [6062]E(f331(f331(f80(a876),f331(f331(f22(a876),x60621),x60622)),x60622),x60621)+~P104(f331(f331(f244(a876),x60622),x60621)) % 159.04/158.75 [6127]E(f331(f331(f39(a876),f331(f331(f81(a876),x61271),x61272)),x61272),x61271)+~P104(f331(f331(f245(a876),f2(a876)),x61272)) % 159.04/158.75 [6128]E(f331(f331(f39(a876),f331(f331(f81(a876),x61281),x61282)),x61281),x61282)+~P104(f331(f331(f245(a876),f2(a876)),x61281)) % 159.04/158.75 [6132]~P69(x61321)+E(f331(f331(f6(a876,x61321),f331(f164(x61321),x61322)),f331(f300(a876,f2(a876)),f331(f195(f877(x61321)),x61322))),f331(f165(x61321),x61322)) % 159.04/158.75 [6248]E(f45(a876,f331(a116,f331(f331(f81(a876),x62481),x62482)),x62481),f78(a876))+~P104(f331(f331(f245(a876),f78(a876)),x62481)) % 159.04/158.75 [6254]E(f331(a116,f331(f331(f80(a876),f331(f107(a876),x62541)),x62542)),f331(f331(f80(a876),f78(a876)),x62542))+~P104(f331(a200,f331(f107(a1),x62541))) % 159.04/158.75 [6282]E(f331(a108,f331(f331(f255(a1),f331(f107(a1),x62821)),x62822)),f331(f331(f255(a876),f331(f107(a876),x62821)),x62822))+P104(f331(a200,f331(f107(a1),x62821))) % 159.04/158.75 [6517]E(f331(f331(f22(a876),x65171),f331(f107(a876),f331(f331(f80(a1),x65172),a101))),f331(f331(f22(a876),f331(a116,x65171)),f331(f107(a876),x65172)))+~P104(f331(f331(f245(a1),a83),x65172)) % 159.04/158.75 [6596]E(x65961,f2(a876))+E(f331(a116,f331(f331(f80(a876),f331(f331(f22(a876),x65961),f78(a876))),x65962)),f331(f331(f80(a876),x65961),x65962)) % 159.04/158.75 [6637]E(x66371,f2(a1))+P104(f331(f331(f245(a1),f2(a1)),f331(f331(f255(a1),f331(f75(a1),x66371)),x66372))) % 159.04/158.75 [6652]~E(x66522,f2(a876))+P104(f331(f331(f245(a1),f2(a1)),f331(f331(f255(a1),f331(f75(a1),x66521)),x66522))) % 159.04/158.75 [6690]E(x66901,f2(a876))+E(f331(f331(f80(a876),x66902),f331(f331(f81(a876),f331(f331(f22(a876),x66901),f78(a876))),x66902)),f331(f331(f81(a876),x66901),x66902)) % 159.04/158.75 [6738]~P104(f331(f331(f244(a1),x67381),x67382))+P104(f331(f331(f245(a1),f331(f331(f80(a1),x67381),a101)),x67382)) % 159.04/158.75 [6866]E(f331(f331(f150(a876),x68661),f138(a876,f331(f300(a876,f331(a116,x68661)),x68662))),f138(a876,f331(f300(a876,x68661),x68662)))+~P104(f331(f331(f245(a876),x68661),x68662)) % 159.04/158.75 [7069]E(x70691,x70692)+~E(f331(f331(f22(a1),f331(f331(f80(a1),x70691),x70691)),a101),f331(f331(f22(a1),f331(f331(f80(a1),x70692),x70692)),a101)) % 159.04/158.75 [7072]E(x70721,f117(x70722))+E(f274(x70722,f331(f331(f153(x70722,f884(a103,x70722)),f331(f265(a103,x70722),f78(a103))),x70721)),f281(x70722,x70721)) % 159.04/158.75 [7296]P104(f331(f331(f244(a1),x72961),x72962))+~P104(f331(f331(f245(a1),f331(f331(f80(a1),x72961),a101)),x72962)) % 159.04/158.75 [7776]~P104(f331(f331(f245(a876),x77761),x77762))+P104(f331(f331(f333(f884(a876,a876)),f331(f331(f265(a876,a876),x77761),x77762)),a249)) % 159.04/158.75 [7998]~P104(f331(f331(f245(a103),f2(a103)),x79981))+P104(f331(f331(f245(a103),f331(f264(a103,f884(a103,a103)),f331(f275(x79981),x79982))),x79981)) % 159.04/158.75 [8314]~P86(x83141)+P104(f331(f331(f244(x83141),f331(f75(x83141),f331(f165(x83141),x83142))),f331(f165(x83141),f331(f331(f153(x83141,x83141),f75(x83141)),x83142)))) % 159.04/158.75 [8338]P104(f331(f331(f245(a876),x83381),x83382))+~P104(f331(f331(f333(f884(a876,a876)),f331(f331(f265(a876,a876),x83381),x83382)),a249)) % 159.04/158.75 [8498]E(f331(f331(f265(x84981,x84981),f762(x84982,x84981)),f762(x84982,x84981)),x84982)+~P104(f331(f331(f333(f884(x84981,x84981)),x84982),f306(x84981,f194(f885(f884(x84981,x84981),a871))))) % 159.04/158.75 [8539]E(f331(f300(a876,x85391),f331(f331(f80(a876),x85391),f331(f38(a876),x85392))),x85392)+~P104(f331(f331(f244(f885(a876,a871)),x85392),f331(f300(a876,x85391),f331(f331(f80(a876),x85391),f331(f38(a876),x85392))))) % 159.04/158.75 [8868]E(f331(f331(f39(a1),f331(f107(a1),f331(f331(f22(a1),f331(f331(f80(a1),x88681),x88681)),a101))),f331(f107(a1),f331(f331(f80(a1),x88682),x88682))),f331(f331(f39(a1),f331(f107(a1),x88681)),f331(f107(a1),x88682)))+~P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),x88682))) % 159.04/158.75 [8996]E(f177(f877(x89961),f331(f331(f8(a871,a871,f877(x89961)),a326),f331(f331(f7(f877(x89961),f877(x89961),a871),a328),f117(x89961))),x89962),f180(x89961,f180(x89961,x89962)))+~P30(a876,f331(f168(a876),f331(f331(f153(f877(x89961),a876),f195(f877(x89961))),x89962))) % 159.04/158.75 [8999]E(f331(f331(f39(a1),f331(f107(a1),f331(f331(f22(a1),f331(f331(f80(a1),x89991),x89991)),a101))),f331(f107(a1),f331(f331(f80(a1),x89992),x89992))),f331(f331(f39(a1),f331(f331(f80(a1),f331(f107(a1),x89991)),f78(a1))),f331(f107(a1),x89992)))+P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),x89992))) % 159.04/158.75 [9832]P104(f331(a200,x98322))+E(f331(f331(f86(a1,a876),f331(f331(f22(a1),x98321),x98322)),f331(f331(f18(a1,a876,a876),f331(f331(f7(a1,a876,f885(a876,a876)),f331(f331(f8(a871,f885(a876,f885(a876,a876)),a1),f100(a876)),a200)),f2(a876))),a108)),f331(f331(f22(a876),f331(a108,x98321)),f331(a108,x98322))) % 159.04/158.75 [9840]E(f331(f331(f86(a1,a876),f331(f107(a1),f331(f331(f80(a1),x98401),f331(f79(a1),x98402)))),f331(f331(f18(a1,a876,a876),f331(f331(f7(a1,a876,f885(a876,a876)),f331(f331(f8(a871,f885(a876,f885(a876,a876)),a1),f100(a876)),a200)),f2(a876))),a108)),f331(f331(f22(a876),f331(f107(a876),x98401)),f331(f107(a876),x98402)))+P104(f331(f331(f245(a1),x98402),a83)) % 159.04/158.75 [9841]~P22(x98411,x98412)+P104(f331(f331(f244(f885(f884(x98411,x98411),a871)),f331(f331(f287(x98411,x98411,x98411),f331(f264(f885(f884(x98411,x98411),a871),f885(f884(x98411,x98411),a871)),x98412)),f331(f268(f885(f884(x98411,x98411),a871),f885(f884(x98411,x98411),a871)),x98412))),f331(f264(f885(f884(x98411,x98411),a871),f885(f884(x98411,x98411),a871)),x98412))) % 159.04/158.75 [9907]~E(f331(f38(a876),f331(f250(a876),f331(f331(f18(a876,a871,a871),f331(f331(f8(a871,f885(a871,a871),a876),a329),f331(f331(f7(a876,f885(a876,a871),a871),f333(a876)),x99071))),f331(f331(f7(a876,a876,a871),f245(a876)),f331(a116,x99072))))),f2(a876))+~P104(f331(f331(f333(a876),f2(a876)),x99071)) % 159.04/158.75 [9963]E(f45(a1,f331(f107(a1),f331(f331(f22(a1),f331(f331(f80(a1),x99631),x99631)),a101)),f331(f107(a1),f331(f331(f80(a1),x99632),x99632))),f331(f331(f80(a1),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f45(a1,f331(f107(a1),x99631),f331(f107(a1),x99632)))),f78(a1)))+~P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),x99632))) % 159.04/158.75 [9972]E(f45(a1,f331(f107(a1),f331(f331(f22(a1),f331(f331(f80(a1),x99721),x99721)),a101)),f331(f107(a1),f331(f331(f80(a1),x99722),x99722))),f331(f331(f22(a1),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f45(a1,f331(f331(f80(a1),f331(f107(a1),x99721)),f78(a1)),f331(f107(a1),x99722)))),f78(a1)))+P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),x99722))) % 159.04/158.75 [10024]~P28(x100241)+E(f40(x100241,f331(f250(x100241),f331(f331(f8(f885(x100241,a871),a871,x100241),f88(x100241)),f331(f331(f8(f885(x100241,a871),f885(x100241,a871),x100241),f331(f18(x100241,a871,a871),f331(f331(f8(a871,f885(a871,a871),x100241),a334),f331(f331(f7(x100241,f885(x100241,a871),a871),f333(x100241)),x100242)))),f244(x100241))))),f41(x100241,x100242)) % 159.04/158.75 [10050]~P39(x100501,x100502)+P57(x100501,f331(f331(f7(x100501,f885(f884(x100501,x100501),a871),f885(x100501,a871)),f331(f331(f8(f885(x100501,f885(f885(f884(x100501,x100501),a871),a871)),f885(f885(f884(x100501,x100501),a871),f885(x100501,a871)),x100501),f7(x100501,f885(f884(x100501,x100501),a871),a871)),f331(f331(f8(f885(x100501,f884(x100501,x100501)),f885(x100501,f885(f885(f884(x100501,x100501),a871),a871)),x100501),f331(f8(f884(x100501,x100501),f885(f885(f884(x100501,x100501),a871),a871),x100501),f333(f884(x100501,x100501)))),f265(x100501,x100501)))),x100502)) % 159.04/158.75 [10051]~P3(x100511,f253(f885(x100511,a871)),x100512)+P2(x100511,f331(f331(f7(x100511,f885(f884(x100511,x100511),a871),f885(x100511,a871)),f331(f331(f8(f885(x100511,f885(f885(f884(x100511,x100511),a871),a871)),f885(f885(f884(x100511,x100511),a871),f885(x100511,a871)),x100511),f7(x100511,f885(f884(x100511,x100511),a871),a871)),f331(f331(f8(f885(x100511,f884(x100511,x100511)),f885(x100511,f885(f885(f884(x100511,x100511),a871),a871)),x100511),f331(f8(f884(x100511,x100511),f885(f885(f884(x100511,x100511),a871),a871),x100511),f333(f884(x100511,x100511)))),f265(x100511,x100511)))),x100512)) % 159.04/158.75 [10088]P39(x100881,x100882)+~P57(x100881,f331(f331(f7(x100881,f885(f884(x100881,x100881),a871),f885(x100881,a871)),f331(f331(f8(f885(x100881,f885(f885(f884(x100881,x100881),a871),a871)),f885(f885(f884(x100881,x100881),a871),f885(x100881,a871)),x100881),f7(x100881,f885(f884(x100881,x100881),a871),a871)),f331(f331(f8(f885(x100881,f884(x100881,x100881)),f885(x100881,f885(f885(f884(x100881,x100881),a871),a871)),x100881),f331(f8(f884(x100881,x100881),f885(f885(f884(x100881,x100881),a871),a871),x100881),f333(f884(x100881,x100881)))),f265(x100881,x100881)))),x100882)) % 159.04/158.75 [10089]P3(x100891,f253(f885(x100891,a871)),x100892)+~P2(x100891,f331(f331(f7(x100891,f885(f884(x100891,x100891),a871),f885(x100891,a871)),f331(f331(f8(f885(x100891,f885(f885(f884(x100891,x100891),a871),a871)),f885(f885(f884(x100891,x100891),a871),f885(x100891,a871)),x100891),f7(x100891,f885(f884(x100891,x100891),a871),a871)),f331(f331(f8(f885(x100891,f884(x100891,x100891)),f885(x100891,f885(f885(f884(x100891,x100891),a871),a871)),x100891),f331(f8(f884(x100891,x100891),f885(f885(f884(x100891,x100891),a871),a871),x100891),f333(f884(x100891,x100891)))),f265(x100891,x100891)))),x100892)) % 159.04/158.75 [7247]E(f331(f331(f80(a876),f331(f107(a876),f331(f331(f22(a1),x72471),a101))),x72472),f331(a116,f331(f331(f80(a876),f331(f107(a876),x72471)),x72472)))+P104(f331(a200,f331(f107(a1),x72471))) % 159.04/158.75 [7693]~P92(x76931)+E(f331(f331(f80(x76931),f331(f331(f80(x76931),f78(x76931)),f331(f107(x76931),x76932))),f331(f107(x76931),x76932)),f331(f107(x76931),f331(f331(f22(a1),f331(f331(f80(a1),x76932),x76932)),a101))) % 159.04/158.75 [8340]~P104(f331(f331(f244(a1),x83401),x83402))+P104(f331(f331(f244(a1),f331(f331(f80(a1),x83401),x83401)),f331(f331(f22(a1),f331(f331(f80(a1),x83402),x83402)),a101))) % 159.04/158.75 [8342]~P104(f331(f331(f244(a1),x83421),x83422))+P104(f331(f331(f245(a1),f331(f331(f80(a1),x83421),x83421)),f331(f331(f22(a1),f331(f331(f80(a1),x83422),x83422)),a101))) % 159.04/158.75 [8760]P104(f331(f331(f244(a1),x87601),x87602))+~P104(f331(f331(f244(a1),f331(f331(f80(a1),x87601),x87601)),f331(f331(f22(a1),f331(f331(f80(a1),x87602),x87602)),a101))) % 159.04/158.75 [8762]P104(f331(f331(f244(a1),x87621),x87622))+~P104(f331(f331(f245(a1),f331(f331(f80(a1),x87621),x87621)),f331(f331(f22(a1),f331(f331(f80(a1),x87622),x87622)),a101))) % 159.04/158.75 [9056]~P104(f331(f331(f244(a1),x90561),x90562))+P104(f331(f331(f244(a1),f331(f331(f22(a1),f331(f331(f80(a1),x90561),x90561)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),x90562),x90562)),a101))) % 159.04/158.75 [9058]~P104(f331(f331(f245(a1),x90581),x90582))+P104(f331(f331(f245(a1),f331(f331(f22(a1),f331(f331(f80(a1),x90581),x90581)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),x90582),x90582)),a101))) % 159.04/158.75 [9059]~P104(f331(f331(f91(a1),x90591),x90592))+P104(f331(f331(f91(a1),f331(f331(f22(a1),f331(f331(f80(a1),x90591),x90591)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),x90592),x90592)),a101))) % 159.04/158.75 [9324]P104(f331(f331(f244(a1),x93241),x93242))+~P104(f331(f331(f244(a1),f331(f331(f22(a1),f331(f331(f80(a1),x93241),x93241)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),x93242),x93242)),a101))) % 159.04/158.75 [9326]P104(f331(f331(f245(a1),x93261),x93262))+~P104(f331(f331(f245(a1),f331(f331(f22(a1),f331(f331(f80(a1),x93261),x93261)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),x93262),x93262)),a101))) % 159.04/158.75 [9327]P104(f331(f331(f91(a1),x93271),x93272))+~P104(f331(f331(f91(a1),f331(f331(f22(a1),f331(f331(f80(a1),x93271),x93271)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),x93272),x93272)),a101))) % 159.04/158.75 [9359]~P104(f331(f62(x93591),x93592))+P104(f331(f62(f885(x93591,a871)),f331(f250(f885(x93591,a871)),f331(f331(f7(f885(x93591,a871),f885(x93591,a871),a871),f244(f885(x93591,a871))),x93592)))) % 159.04/158.75 [9407]~E(f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),x94071),f194(f885(f884(a876,a876),a871)))),f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),x94072),f194(f885(f884(a876,a876),a871)))))+P104(f331(f331(f333(f884(f884(a876,a876),f884(a876,a876))),f331(f331(f265(f884(a876,a876),f884(a876,a876)),x94071),x94072)),a112)) % 159.04/158.75 [9491]E(f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),x94911),f194(f885(f884(a876,a876),a871)))),f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),x94912),f194(f885(f884(a876,a876),a871)))))+~P104(f331(f331(f333(f884(f884(a876,a876),f884(a876,a876))),f331(f331(f265(f884(a876,a876),f884(a876,a876)),x94911),x94912)),a112)) % 159.04/158.75 [9527]P104(f331(f331(f244(a1),f2(a1)),f794(x95271,x95272)))+E(f331(f250(a1),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f244(a1),f2(a1)))),x95271)),f331(f250(a1),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f244(a1),f2(a1)))),x95272))) % 159.04/158.75 [10034]~P28(x100341)+E(f41(x100341,f331(f250(x100341),f331(f331(f8(f885(x100341,a871),a871,x100341),f88(x100341)),f331(f331(f8(f885(x100341,a871),f885(x100341,a871),x100341),f331(f18(x100341,a871,a871),f331(f331(f8(a871,f885(a871,a871),x100341),a334),f331(f331(f7(x100341,f885(x100341,a871),a871),f333(x100341)),x100342)))),f331(f7(x100341,x100341,a871),f244(x100341)))))),f40(x100341,x100342)) % 159.04/158.75 [10056]P104(f331(f331(f333(a876),f2(a876)),x100561))+E(f331(f38(a876),f331(f250(a876),f331(f331(f18(a876,a871,a871),f331(f331(f8(a871,f885(a871,a871),a876),a329),f331(f331(f7(a876,f885(a876,a871),a871),f331(f331(f8(a876,f885(f885(a876,a871),a871),a876),f333(a876)),a116)),x100561))),f331(f331(f7(a876,a876,a871),f245(a876)),x100562)))),f331(f38(a876),f331(f250(a876),f331(f331(f18(a876,a871,a871),f331(f331(f8(a871,f885(a871,a871),a876),a329),f331(f331(f7(a876,f885(a876,a871),a871),f333(a876)),x100561))),f331(f331(f7(a876,a876,a871),f245(a876)),f331(a116,x100562)))))) % 159.04/158.75 [7563]~P92(x75631)+E(f331(f331(f81(x75631),x75632),f331(f107(x75631),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),x75632) % 159.04/158.75 [7823]~P92(x78231)+E(f331(f331(f80(x78231),f331(f107(x78231),x78232)),f78(x78231)),f331(f107(x78231),f331(f331(f80(a1),x78232),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))) % 159.04/158.75 [7968]P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),x79682)))+E(f331(f331(f255(a1),x79681),f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),x79682),x79682)),a101))),f78(a1)) % 159.04/158.75 [9385]~P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),x93852)))+E(f331(f331(f255(a1),x93851),f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),x93852),x93852)),a101))),f331(f331(f86(a1,a1),f331(f331(f255(a1),x93851),f331(f107(a876),x93852))),f331(f331(f18(a1,a1,a1),f331(f331(f8(a1,f885(a1,a1),a1),f81(a1)),f331(f81(a1),x93851))),f5(a1)))) % 159.04/158.75 [9747]~P104(f331(f331(f244(a876),f814(x97472,x97471)),f331(x97471,f814(x97472,x97471))))+P104(f331(f62(a876),f331(f250(a876),f331(f331(f7(a876,a876,a871),f331(f331(f8(a876,f885(a876,a871),a876),f244(a876)),x97471)),x97472)))) % 159.04/158.75 [9897]~P104(f331(f331(f244(a876),f331(f107(a876),x98971)),f331(a116,x98972)))+P104(f331(f331(f86(a1,a871),f331(f107(a1),f331(f331(f80(a1),x98971),a101))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a334),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f7(a1,a876,a871),f331(f331(f8(a876,f885(a876,a871),a1),f244(a876)),a108)),x98972)))) % 159.04/158.75 [9898]~P104(f331(f331(f245(a876),f331(f107(a876),x98981)),f331(a116,x98982)))+P104(f331(f331(f86(a1,a871),f331(f107(a1),f331(f331(f80(a1),x98981),a101))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a334),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f7(a1,a876,a871),f331(f331(f8(a876,f885(a876,a871),a1),f245(a876)),a108)),x98982)))) % 159.04/158.75 [9947]P104(f331(f331(f244(a876),f331(f107(a876),x99471)),f331(a116,x99472)))+~P104(f331(f331(f86(a1,a871),f331(f107(a1),f331(f331(f80(a1),x99471),a101))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a334),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f7(a1,a876,a871),f331(f331(f8(a876,f885(a876,a871),a1),f244(a876)),a108)),x99472)))) % 159.04/158.75 [9948]P104(f331(f331(f245(a876),f331(f107(a876),x99481)),f331(a116,x99482)))+~P104(f331(f331(f86(a1,a871),f331(f107(a1),f331(f331(f80(a1),x99481),a101))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a334),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f7(a1,a876,a871),f331(f331(f8(a876,f885(a876,a871),a1),f245(a876)),a108)),x99482)))) % 159.04/158.75 [9978]~P104(f331(f331(f244(a876),f331(a116,x99782)),f331(f107(a876),x99781)))+P104(f331(f331(f86(a1,a871),f331(f107(a1),f331(f331(f80(a1),x99781),a101))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a334),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f8(a876,a871,a1),f331(f244(a876),x99782)),a108))))) % 159.04/158.75 [9979]~P104(f331(f331(f245(a876),f331(a116,x99792)),f331(f107(a876),x99791)))+P104(f331(f331(f86(a1,a871),f331(f107(a1),f331(f331(f80(a1),x99791),a101))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a334),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f8(a876,a871,a1),f331(f245(a876),x99792)),a108))))) % 159.04/158.75 [10022]P104(f331(f331(f244(a876),f331(a116,x100221)),f331(f107(a876),x100222)))+~P104(f331(f331(f86(a1,a871),f331(f107(a1),f331(f331(f80(a1),x100222),a101))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a334),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f8(a876,a871,a1),f331(f244(a876),x100221)),a108))))) % 159.04/158.75 [10023]P104(f331(f331(f245(a876),f331(a116,x100231)),f331(f107(a876),x100232)))+~P104(f331(f331(f86(a1,a871),f331(f107(a1),f331(f331(f80(a1),x100232),a101))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a334),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f8(a876,a871,a1),f331(f245(a876),x100231)),a108))))) % 159.04/158.75 [10096]~P104(f331(f331(f333(a876),f2(a876)),x100961))+E(f331(a116,f331(f38(a876),f331(f250(a876),f331(f331(f18(a876,a871,a871),f331(f331(f8(a871,f885(a871,a871),a876),a329),f331(f331(f7(a876,f885(a876,a871),a871),f331(f331(f8(a876,f885(f885(a876,a871),a871),a876),f333(a876)),a116)),x100961))),f331(f331(f7(a876,a876,a871),f245(a876)),x100962))))),f331(f38(a876),f331(f250(a876),f331(f331(f18(a876,a871,a871),f331(f331(f8(a871,f885(a871,a871),a876),a329),f331(f331(f7(a876,f885(a876,a871),a871),f333(a876)),x100961))),f331(f331(f7(a876,a876,a871),f245(a876)),f331(a116,x100962)))))) % 159.04/158.75 [8523]~P92(x85231)+E(f331(f331(f81(x85231),f331(f107(x85231),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),x85232),x85232) % 159.04/158.75 [8582]~P92(x85821)+E(f331(f331(f80(x85821),f78(x85821)),f331(f107(x85821),x85822)),f331(f107(x85821),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),x85822))) % 159.04/158.75 [8640]~P92(x86401)+E(f331(f331(f22(x86401),f331(f107(x86401),x86402)),f78(x86401)),f331(f107(x86401),f331(f331(f80(a1),x86402),f331(f79(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))) % 159.04/158.75 [8778]~P104(f331(f331(f245(a876),f331(f107(a876),a83)),x87782))+E(f331(f331(f22(a876),x87781),f331(f331(f22(a876),x87782),f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f22(a876),f331(a116,x87781)),x87782)) % 159.04/158.75 [9423]~P114(x94231)+E(f331(f331(f81(x94231),x94232),x94232),f331(f331(f255(x94231),x94232),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))) % 159.04/158.75 [9424]~P79(x94241)+E(f331(f331(f255(x94241),x94242),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f81(x94241),x94242),x94242)) % 159.04/158.75 [9426]~P92(x94261)+E(f331(f331(f81(x94261),x94262),f331(f107(x94261),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f80(x94261),x94262),x94262)) % 159.04/158.75 [9666]~P138(x96661)+E(f331(f331(f255(x96661),f331(f79(x96661),x96662)),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f255(x96661),x96662),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))) % 159.04/158.75 [9667]~P119(x96671)+E(f331(f331(f255(x96671),f331(f75(x96671),x96672)),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f255(x96671),x96672),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))) % 159.04/158.75 [9663]~P92(x96631)+E(f331(f331(f81(x96631),f331(f107(x96631),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x96632),f331(f331(f80(x96631),x96632),x96632)) % 159.04/158.75 [9787]~P119(x97871)+E(f331(f75(x97871),f331(f331(f255(x97871),x97872),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f255(x97871),x97872),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))) % 159.04/158.75 [9849]~P119(x98491)+P104(f331(f331(f244(x98491),f2(x98491)),f331(f331(f255(x98491),x98492),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))) % 159.04/158.75 [10013]~E(f331(a116,x100132),f331(f107(a876),x100131))+P104(f331(f331(f86(a1,a871),f331(f107(a1),f331(f331(f80(a1),x100131),a101))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a334),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f7(a1,a876,a871),f331(f331(f8(a876,f885(a876,a871),a1),a328),a108)),x100132))))) % 159.04/158.75 [10014]~E(f331(f107(a876),x100141),f331(a116,x100142))+P104(f331(f331(f86(a1,a871),f331(f107(a1),f331(f331(f80(a1),x100141),a101))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a334),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f7(a1,a876,a871),f331(f331(f8(a876,f885(a876,a871),a1),a328),a108)),x100142))))) % 159.04/158.75 [10059]E(f331(a116,x100591),f331(f107(a876),x100592))+~P104(f331(f331(f86(a1,a871),f331(f107(a1),f331(f331(f80(a1),x100592),a101))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a334),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f7(a1,a876,a871),f331(f331(f8(a876,f885(a876,a871),a1),a328),a108)),x100591))))) % 159.04/158.75 [10060]E(f331(f107(a876),x100601),f331(a116,x100602))+~P104(f331(f331(f86(a1,a871),f331(f107(a1),f331(f331(f80(a1),x100601),a101))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a334),f331(f331(f8(a871,a871,a1),a326),a200))),f331(f331(f7(a1,a876,a871),f331(f331(f8(a876,f885(a876,a871),a1),a328),a108)),x100602))))) % 159.04/158.75 [9846]~P92(x98461)+E(f331(f331(f255(x98461),f331(f107(x98461),a101)),f331(f331(f81(a876),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x98462)),f78(x98461)) % 159.04/158.75 [9847]~P138(x98471)+E(f331(f331(f255(x98471),f331(f79(x98471),f78(x98471))),f331(f331(f81(a876),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x98472)),f78(x98471)) % 159.04/158.75 [9851]~P79(x98511)+E(f331(f331(f255(x98511),x98512),f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),a101))),f331(f331(f81(x98511),f331(f331(f81(x98511),x98512),x98512)),x98512)) % 159.04/158.75 [10038]~P104(f331(f331(f244(a1),f2(a1)),x100382))+E(f45(a1,f331(f331(f80(a1),f78(a1)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x100381)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x100382)),f331(f331(f80(a1),f78(a1)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f45(a1,x100381,x100382)))) % 159.04/158.75 [10062]~P104(f331(f331(f244(a1),f2(a1)),x100622))+E(f331(f331(f39(a1),f331(f331(f80(a1),f78(a1)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x100621))),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x100622)),f331(f331(f39(a1),x100621),x100622)) % 159.04/158.75 [10064]~P104(f331(f331(f244(a1),x100642),f2(a1)))+E(f331(f331(f39(a1),f331(f331(f80(a1),f78(a1)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x100641))),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x100642)),f331(f331(f39(a1),f331(f331(f80(a1),x100641),f78(a1))),x100642)) % 159.04/158.75 [10065]~P104(f331(f331(f244(a1),x100652),f2(a1)))+E(f45(a1,f331(f331(f80(a1),f78(a1)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x100651)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x100652)),f331(f331(f22(a1),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f45(a1,f331(f331(f80(a1),x100651),f78(a1)),x100652))),f78(a1))) % 159.04/158.75 [9938]~P92(x99381)+E(f331(f331(f255(x99381),f331(f107(x99381),a101)),f331(a116,f331(f331(f81(a876),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x99382))),f331(f107(x99381),a101)) % 159.04/158.75 [9940]~P138(x99401)+E(f331(f331(f255(x99401),f331(f79(x99401),f78(x99401))),f331(a116,f331(f331(f81(a876),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x99402))),f331(f79(x99401),f78(x99401))) % 159.04/158.75 [5106]~P20(x51061,x51062,x51063)+P23(x51061,x51062,x51063) % 159.04/158.75 [8041]~E(x80412,x80413)+P36(x80411,x80411,a328,x80412,x80413) % 159.04/158.75 [8595]E(x85951,x85952)+~P36(x85953,x85953,a328,x85951,x85952) % 159.04/158.75 [4750]E(f169(x47501,x47502,x47503),f117(x47501))+~E(x47502,f2(a876)) % 159.04/158.75 [4918]~E(f169(x49182,x49181,x49183),f117(x49182))+E(x49181,f2(a876)) % 159.04/158.75 [5111]~P39(x51111,x51113)+P39(x51111,f325(x51111,x51112,x51113)) % 159.04/158.75 [5283]P31(x52831,x52832,x52833)+~P31(x52831,f331(a116,x52832),x52833) % 159.04/158.75 [5371]~P3(x53711,x53712,x53713)+P3(f877(x53711),f160(x53711,x53712),f157(x53711,x53713)) % 159.04/158.75 [5372]~P49(x53721,x53722,x53723)+P49(f877(x53721),f160(x53721,x53722),f157(x53721,x53723)) % 159.04/158.75 [5484]P52(x54841,x54842,x54843)+~E(f723(x54843,x54842,x54841),f724(x54843,x54842,x54841)) % 159.04/158.75 [5485]P53(x54851,x54852,x54853)+~E(f750(x54853,x54852,x54851),f751(x54853,x54852,x54851)) % 159.04/158.75 [6422]P23(x64221,x64222,x64223)+~P31(x64221,f564(x64223,x64222,x64221),f574(x64223,x64222,x64221)) % 159.04/158.75 [4656]~E(x46561,f197(x46562))+~E(x46561,f331(f236(x46562),x46563)) % 159.04/158.75 [4706]~E(f331(f168(x47062),x47061),x47063)+E(x47061,f331(f168(x47062),x47063)) % 159.04/158.75 [4707]~E(x47072,f331(f168(x47071),x47073))+E(f331(f168(x47071),x47072),x47073) % 159.04/158.75 [4756]E(x47561,x47562)+~E(f331(f236(x47563),x47561),f331(f236(x47563),x47562)) % 159.04/158.75 [4757]E(x47571,x47572)+~E(f331(f168(x47573),x47571),f331(f168(x47573),x47572)) % 159.04/158.75 [4965]~P2(x49653,x49651)+P104(f331(f331(x49651,x49652),x49652)) % 159.04/158.75 [4966]~P51(x49663,x49661)+P104(f331(f331(x49661,x49662),x49662)) % 159.04/158.75 [4968]~P57(x49681,x49682)+P104(f331(f319(x49681,x49682),x49683)) % 159.04/158.75 [5030]~P39(x50301,x50302)+P39(f877(x50301),f331(f142(x50301,x50302),x50303)) % 159.04/158.75 [5035]~P104(f331(x50352,x50353))+~E(f331(f250(x50351),x50352),f194(f885(x50351,a871))) % 159.04/158.75 [5036]~P104(f331(x50362,x50363))+~E(f194(f885(x50361,a871)),f331(f250(x50361),x50362)) % 159.04/158.75 [5067]~P104(f331(x50671,x50673))+P104(f331(x50671,f90(x50672,x50671))) % 159.04/158.75 [5192]~E(x51922,x51923)+P104(f331(f331(f333(x51921),x51922),f331(a328,x51923))) % 159.04/158.75 [5204]P104(f331(x52041,x52042))+~P104(f331(x52041,f549(x52041,x52043))) % 159.04/158.75 [5250]E(f331(f168(x52501),x52502),f331(f331(f150(x52501),x52503),f117(x52501)))+~E(x52502,f331(f331(f150(x52501),x52503),f117(x52501))) % 159.04/158.75 [5251]~E(x52513,f331(f331(f150(x52511),x52512),f117(x52511)))+E(f331(f331(f150(x52511),x52512),f117(x52511)),f331(f168(x52511),x52513)) % 159.04/158.75 [5276]~E(x52763,f331(f16(f880(x52762),x52761),f197(x52762)))+E(f184(x52761,x52762,x52763),f194(f885(x52761,a871))) % 159.04/158.75 [5297]~P35(x52971,x52972,x52973)+P35(x52971,x52972,f331(f168(x52971),x52973)) % 159.04/158.75 [5298]~P33(x52981,x52982,x52983)+P33(x52981,x52982,f331(f168(x52981),x52983)) % 159.04/158.75 [5301]E(f331(f38(x53011),f339(x53012,x53013,x53011)),x53012)+~E(f331(f38(x53011),x53013),f331(a116,x53012)) % 159.04/158.75 [5307]~P39(x53071,x53073)+P104(f331(f331(f333(x53071),x53072),f320(x53071,x53073))) % 159.04/158.75 [5311]~E(f331(f168(x53112),x53111),f331(f331(f150(x53112),x53113),f117(x53112)))+E(x53111,f331(f331(f150(x53112),x53113),f117(x53112))) % 159.04/158.75 [5312]~E(f331(f331(f150(x53122),x53123),f117(x53122)),f331(f168(x53122),x53121))+E(x53121,f331(f331(f150(x53122),x53123),f117(x53122))) % 159.04/158.75 [5327]E(x53271,f331(f16(f880(x53272),x53273),f197(x53272)))+~E(f184(x53273,x53272,x53271),f194(f885(x53273,a871))) % 159.04/158.75 [5334]E(f85(f884(a876,a876),f48(x53341,x53342)),x53343)+~P104(f331(f48(x53341,x53342),x53343)) % 159.04/158.75 [5342]~E(x53423,f331(f236(x53421),x53422))+P104(f331(f331(f333(x53421),x53422),f237(x53421,x53423))) % 159.04/158.75 [5375]P35(x53751,x53752,x53753)+~P35(x53751,x53752,f331(f168(x53751),x53753)) % 159.04/158.75 [5376]P33(x53761,x53762,x53763)+~P33(x53761,x53762,f331(f168(x53761),x53763)) % 159.04/158.75 [5438]~E(x54382,f117(x54381))+P104(f331(f331(f333(f877(x54381)),x54382),f160(x54381,x54383))) % 159.04/158.75 [5445]~P49(x54451,x54452,x54453)+P49(x54451,x54452,f331(f285(x54451,x54451),x54453)) % 159.04/158.75 [5446]~P53(x54461,x54462,x54463)+P53(x54461,x54462,f331(f285(x54461,x54461),x54463)) % 159.04/158.75 [5465]~P26(x54651)+E(f45(x54651,f45(x54651,x54652,x54653),x54653),f45(x54651,x54652,x54653)) % 159.04/158.75 [5561]E(x55611,x55612)+~P104(f331(f331(f333(x55613),x55611),f331(a328,x55612))) % 159.04/158.75 [5607]~P143(x56071)+E(f196(x56071,x56072,f2(a876),x56073),x56073) % 159.04/158.75 [5627]P49(x56271,x56272,x56273)+~P49(x56271,x56272,f331(f285(x56271,x56271),x56273)) % 159.04/158.75 [5628]P53(x56281,x56282,x56283)+~P53(x56281,x56282,f331(f285(x56281,x56281),x56283)) % 159.04/158.75 [5632]~P107(x56322)+E(f149(x56321,x56322,x56323,f117(x56321)),f117(x56321)) % 159.04/158.75 [5645]E(f170(x56451,x56452,f151(x56451,x56453)),f151(x56451,f170(x56451,x56452,x56453)))+~P104(f331(f136(x56451),x56453)) % 159.04/158.75 [5651]E(x56511,f331(f236(x56512),x56513))+~P104(f331(f331(f333(x56512),x56513),f237(x56512,x56511))) % 159.04/158.75 [5737]~P104(f331(a25,x57373))+P104(f331(a25,f29(x57371,x57372,x57373))) % 159.04/158.75 [5748]E(f331(f135(x57481,x57482),x57483),f117(x57481))+P104(f331(x57482,f586(x57483,x57482,x57481))) % 159.04/158.75 [5891]~P104(f331(f136(x58911),x58913))+P104(f331(f136(x58911),f170(x58911,x58912,x58913))) % 159.04/158.75 [5892]~P104(f331(f136(x58921),x58922))+P104(f331(f136(x58921),f176(x58921,x58922,x58923))) % 159.04/158.75 [5893]~P104(f331(f136(x58931),x58933))+P104(f331(f136(x58931),f177(x58931,x58932,x58933))) % 159.04/158.75 [5894]~P104(f331(f136(x58941),x58943))+P104(f331(f136(x58941),f139(x58941,x58942,x58943))) % 159.04/158.75 [5895]~P145(x58951,x58953,x58952)+P104(f331(x58951,f45(a1,x58952,x58953))) % 159.04/158.75 [5914]~P35(x59143,x59141,x59142)+P104(f331(x59141,f726(x59142,x59141,x59143))) % 159.04/158.75 [5915]~P37(x59153,x59151,x59152)+P104(f331(x59151,f806(x59152,x59151,x59153))) % 159.04/158.75 [5937]E(f331(f135(x59371,x59372),x59373),f177(x59371,x59372,x59373))+P104(f331(x59372,f649(x59373,x59372,x59371))) % 159.04/158.75 [5979]~P104(f331(f136(x59791),x59793))+P104(f331(f136(f877(x59791)),f55(x59791,x59792,x59793))) % 159.04/158.75 [6012]~P108(x60121)+E(f331(f331(f105(f885(x60121,a871)),f331(f251(x60121),x60122)),f301(x60121,x60122,x60123)),f194(f885(x60121,a871))) % 159.04/158.75 [6013]~P108(x60131)+E(f331(f331(f105(f885(x60131,a871)),f331(f299(x60131),x60132)),f304(x60131,x60132,x60133)),f194(f885(x60131,a871))) % 159.04/158.75 [6014]~P108(x60141)+E(f331(f331(f105(f885(x60141,a871)),f331(f299(x60141),x60142)),f303(x60141,x60142,x60143)),f194(f885(x60141,a871))) % 159.04/158.75 [6161]P104(f331(a25,x61611))+~P104(f331(a25,f29(x61612,x61613,x61611))) % 159.04/158.75 [6163]P104(f331(a25,x61631))+~P104(f331(a25,f30(x61632,x61633,x61631))) % 159.04/158.75 [6165]P104(f331(a25,x61651))+~P104(f331(a25,f30(x61652,x61651,x61653))) % 159.04/158.75 [6244]E(f331(f135(x62441,x62442),x62443),x62443)+~P104(f331(x62442,f621(x62443,x62442,x62441))) % 159.04/158.75 [6246]E(f331(f331(f308(x62461),f352(x62462,x62463,x62461)),f339(x62462,x62463,x62461)),x62463)+~E(f331(f38(x62461),x62463),f331(a116,x62462)) % 159.04/158.75 [6262]P145(x62621,x62622,x62623)+~P104(f331(x62621,f45(a1,x62623,x62622))) % 159.04/158.75 [6309]P33(x63091,x63092,x63093)+~P104(f331(x63092,f790(x63092,x63093,x63091))) % 159.04/158.75 [6310]P33(x63101,x63102,x63103)+~P104(f331(x63102,f804(x63103,x63102,x63101))) % 159.04/158.75 [6311]P33(x63111,x63112,x63113)+~P104(f331(x63112,f805(x63113,x63112,x63111))) % 159.04/158.75 [6313]E(f177(x63131,x63132,x63133),x63133)+~P104(f331(x63132,f634(x63133,x63132,x63131))) % 159.04/158.75 [6391]~P104(f331(x63912,f558(x63913,x63912,x63911)))+P104(f331(f258(x63911,x63912),x63913)) % 159.04/158.75 [6392]~P104(f331(x63922,f622(x63923,x63922,x63921)))+P104(f331(f159(x63921,x63922),x63923)) % 159.04/158.75 [6638]~P104(f331(f319(x66381,x66382),f505(x66383,x66382,x66381)))+P104(f331(f319(x66381,x66382),x66383)) % 159.04/158.75 [6639]~P104(f331(f319(x66391,x66392),f519(x66393,x66392,x66391)))+P104(f331(f319(x66391,x66392),x66393)) % 159.04/158.75 [7248]~P26(x72481)+E(f331(f331(f80(x72481),f331(f331(f81(x72481),x72482),f331(f331(f39(x72481),x72483),x72482))),f45(x72481,x72483,x72482)),x72483) % 159.04/158.75 [7717]E(f331(f331(f265(x77171,x77171),f534(x77172,x77173,x77171)),f534(x77172,x77173,x77171)),x77173)+~P104(f331(f331(f333(f884(x77171,x77171)),x77173),f262(x77171,x77172))) % 159.04/158.75 [7831]~P104(f331(f331(f333(x78311),f667(x78313,x78312,x78311)),f320(x78311,x78313)))+P104(f331(f331(f333(x78311),x78312),f320(x78311,x78313))) % 159.04/158.75 [7832]~P104(f331(f331(f333(x78321),f728(x78323,x78322,x78321)),f320(x78321,x78323)))+P104(f331(f331(f333(x78321),x78322),f320(x78321,x78323))) % 159.04/158.75 [7833]~P104(f331(f331(f333(x78331),f737(x78333,x78332,x78331)),f320(x78331,x78333)))+P104(f331(f331(f333(x78331),x78332),f320(x78331,x78333))) % 159.04/158.75 [8022]~P26(x80221)+E(f331(f331(f80(x80221),f331(f331(f81(x80221),f331(f331(f39(x80221),x80222),x80223)),x80223)),f45(x80221,x80222,x80223)),x80222) % 159.04/158.75 [8067]~E(f331(f38(x80671),x80672),f331(a116,x80673))+~P104(f331(f331(f333(x80671),f352(x80673,x80672,x80671)),f339(x80673,x80672,x80671))) % 159.04/158.76 [8690]P104(f331(f331(f244(f885(f884(x86901,x86901),a871)),f306(x86901,x86902)),f306(x86901,x86903)))+~P104(f331(f331(f244(f885(f884(x86901,x86901),a871)),x86902),f306(x86901,x86903))) % 159.04/158.76 [8965]E(x89651,f117(x89652))+~P104(f331(f331(f333(f884(f877(x89652),f877(x89652))),f331(f331(f265(f877(x89652),f877(x89652)),x89651),f117(x89652))),f157(x89652,x89653))) % 159.04/158.76 [8990]E(x89901,f117(x89902))+~P104(f331(f331(f333(f884(f877(x89902),f877(x89902))),f331(f331(f265(f877(x89902),f877(x89902)),f117(x89902)),x89901)),f157(x89902,x89903))) % 159.04/158.76 [9113]E(f331(f331(f150(x91131),f609(x91132,x91133,x91131)),f610(x91132,x91133,x91131)),x91133)+~P104(f331(f331(f333(f884(f877(x91131),f877(x91131))),f331(f331(f265(f877(x91131),f877(x91131)),f117(x91131)),x91133)),f146(x91131,x91132))) % 159.04/158.76 [9352]~P123(x93521)+~P104(f331(f331(f245(x93521),f331(f331(f80(x93521),f331(f331(f81(x93521),x93522),x93522)),f331(f331(f81(x93521),x93523),x93523))),f2(x93521))) % 159.04/158.76 [9402]P104(f331(f62(x94021),x94022))+~P104(f331(f331(f333(f884(f885(x94021,a871),f885(x94021,a871))),f331(f331(f265(f885(x94021,a871),f885(x94021,a871)),x94023),x94022)),f305(x94021))) % 159.04/158.76 [9688]~P47(x96881,x96882,x96883)+P104(f331(f331(f244(a1),f331(f331(f73(f884(a1,a1),a1,x96881,f264(a1,a1)),f221(x96881)),f232(x96881,x96882,f229(x96881,x96883)))),f2(a1))) % 159.04/158.76 [9689]~P48(x96891,x96892,x96893)+P104(f331(f331(f245(a1),f331(f331(f73(f884(a1,a1),a1,x96891,f264(a1,a1)),f221(x96891)),f232(x96891,x96892,f229(x96891,x96893)))),f2(a1))) % 159.04/158.76 [9816]P48(x98161,x98162,x98163)+~P104(f331(f331(f245(a1),f331(f331(f73(f884(a1,a1),a1,x98161,f264(a1,a1)),f221(x98161)),f232(x98161,x98162,f229(x98161,x98163)))),f2(a1))) % 159.04/158.76 [9817]P47(x98171,x98172,x98173)+~P104(f331(f331(f244(a1),f331(f331(f73(f884(a1,a1),a1,x98171,f264(a1,a1)),f221(x98171)),f232(x98171,x98172,f229(x98171,x98173)))),f2(a1))) % 159.04/158.76 [10139]~P119(x101391)+~P104(f331(f331(f245(x101391),f331(f331(f80(x101391),f331(f331(f255(x101391),x101392),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f255(x101391),x101393),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))),f2(x101391))) % 159.04/158.76 [4737]~E(x47373,f117(x47371))+E(f331(f331(f126(x47371),x47372),x47373),x47372) % 159.04/158.76 [4738]~E(x47382,f117(x47381))+E(f331(f331(f126(x47381),x47382),x47383),x47383) % 159.04/158.76 [4745]~E(x47452,f2(a876))+E(f331(f331(f175(x47451),x47452),x47453),f117(x47451)) % 159.04/158.76 [4751]~E(x47513,f117(x47511))+E(f331(f331(f175(x47511),x47512),x47513),f117(x47511)) % 159.04/158.76 [4791]~E(x47911,x47913)+E(x47911,f331(f331(f126(x47912),f117(x47912)),x47913)) % 159.04/158.76 [4879]~P24(x48792)+E(f331(f194(f885(x48791,x48792)),x48793),f194(x48792)) % 159.04/158.76 [4880]~P109(x48802)+E(f331(f253(f885(x48801,x48802)),x48803),f253(x48802)) % 159.04/158.76 [4900]E(x49001,f117(x49002))+~E(f331(f331(f126(x49002),x49003),x49001),x49003) % 159.04/158.76 [4901]E(x49011,f117(x49012))+~E(f331(f331(f126(x49012),x49011),x49013),x49013) % 159.04/158.76 [4909]E(x49091,f117(x49092))+~E(f331(f331(f126(x49092),x49093),x49091),f117(x49092)) % 159.04/158.76 [4910]E(x49101,f117(x49102))+~E(f331(f331(f126(x49102),x49101),x49103),f117(x49102)) % 159.04/158.76 [4935]~E(x49352,f2(a876))+E(f331(f331(f81(a876),x49351),x49352),f331(f331(f81(a876),x49353),x49352)) % 159.04/158.76 [4937]~E(x49371,f2(a876))+E(f331(f331(f81(a876),x49371),x49372),f331(f331(f81(a876),x49371),x49373)) % 159.04/158.76 [4990]~P75(x49901)+E(f331(f331(f114(x49901),x49902),x49903),f331(f331(f114(x49901),x49903),x49902)) % 159.04/158.76 [4992]~P99(x49921)+E(f331(f331(f114(x49921),x49922),x49923),f331(f331(f114(x49921),x49923),x49922)) % 159.04/158.76 [4993]~P75(x49931)+E(f331(f331(f105(x49931),x49932),x49933),f331(f331(f105(x49931),x49933),x49932)) % 159.04/158.76 [4995]~P100(x49951)+E(f331(f331(f105(x49951),x49952),x49953),f331(f331(f105(x49951),x49953),x49952)) % 159.04/158.76 [4996]~P114(x49961)+E(f331(f331(f81(x49961),x49962),x49963),f331(f331(f81(x49961),x49963),x49962)) % 159.04/158.76 [4997]~P114(x49971)+E(f331(f331(f80(x49971),x49972),x49973),f331(f331(f80(x49971),x49973),x49972)) % 159.04/158.76 [4999]~P107(x49991)+E(f331(f331(f242(x49991),x49992),x49993),f331(f331(f242(x49991),x49993),x49992)) % 159.04/158.76 [5001]~P107(x50011)+E(f331(f331(f243(x50011),x50012),x50013),f331(f331(f243(x50011),x50013),x50012)) % 159.04/158.76 [5062]E(f45(a876,x50621,x50622),f2(a876))+~E(x50621,f331(f331(f81(a876),x50622),x50623)) % 159.04/158.76 [5063]E(f45(a1,x50631,x50632),f2(a1))+~E(x50631,f331(f331(f81(a1),x50632),x50633)) % 159.04/158.76 [5123]E(x51231,x51232)+~E(f331(f331(f80(a876),x51233),x51231),f331(f331(f80(a876),x51233),x51232)) % 159.04/158.76 [5124]E(x51241,x51242)+~E(f331(f331(f80(a876),x51241),x51243),f331(f331(f80(a876),x51242),x51243)) % 159.04/158.76 [5134]~P81(x51341)+E(f331(f331(f105(x51341),x51342),f331(f79(x51341),x51343)),f331(f331(f22(x51341),x51342),x51343)) % 159.04/158.76 [5135]~P64(x51351)+E(f331(f331(f80(x51351),x51352),f331(f79(x51351),x51353)),f331(f331(f22(x51351),x51352),x51353)) % 159.04/158.76 [5136]~P65(x51361)+E(f331(f331(f80(x51361),x51362),f331(f79(x51361),x51363)),f331(f331(f22(x51361),x51362),x51363)) % 159.04/158.76 [5137]~P111(x51371)+E(f331(f331(f80(x51371),x51372),f331(f79(x51371),x51373)),f331(f331(f22(x51371),x51372),x51373)) % 159.04/158.76 [5138]~P65(x51381)+E(f331(f331(f22(x51381),x51382),f331(f79(x51381),x51383)),f331(f331(f80(x51381),x51382),x51383)) % 159.04/158.76 [5185]~P104(f331(x51853,x51852))+P104(f331(f331(f333(x51851),x51852),x51853)) % 159.04/158.76 [5187]~P69(x51872)+E(f331(f331(f6(x51871,x51872),x51873),f194(f885(x51871,a871))),f2(x51872)) % 159.04/158.76 [5189]~P68(x51892)+E(f331(f331(f9(x51891,x51892),x51893),f194(f885(x51891,a871))),f78(x51892)) % 159.04/158.76 [5238]~E(x52382,f331(f331(f80(a876),x52381),x52383))+P104(f331(f331(f244(a876),x52381),x52382)) % 159.04/158.76 [5241]~E(x52412,f194(f885(x52411,a871)))+E(f331(f331(f61(x52411),x52412),x52413),f194(f885(f885(x52411,a871),a871))) % 159.04/158.76 [5242]~E(x52422,f194(f885(x52421,a871)))+E(f194(f885(f885(x52421,a871),a871)),f331(f331(f61(x52421),x52422),x52423)) % 159.04/158.76 [5316]~E(f331(f261(x53162,x53163),x53161),f194(f885(x53163,a871)))+E(x53161,f194(f885(f884(x53162,x53163),a871))) % 159.04/158.76 [5317]~E(f331(f263(x53172,x53173),x53171),f194(f885(x53172,a871)))+E(x53171,f194(f885(f884(x53172,x53173),a871))) % 159.04/158.76 [5348]E(f331(f261(x53481,x53482),x53483),f194(f885(x53482,a871)))+~E(x53483,f194(f885(f884(x53481,x53482),a871))) % 159.04/158.76 [5349]E(f331(f263(x53491,x53492),x53493),f194(f885(x53491,a871)))+~E(x53493,f194(f885(f884(x53491,x53492),a871))) % 159.04/158.76 [5353]E(f280(x53531,x53532,x53533),f331(f331(f22(a103),x53532),x53533))+P104(f331(f331(f245(a103),x53532),x53533)) % 159.04/158.76 [5369]P104(f331(x53691,x53692))+~P104(f331(f331(f333(x53693),x53692),x53691)) % 159.04/158.76 [5408]E(x54081,x54082)+~E(f331(f79(f885(x54083,a871)),x54081),f331(f79(f885(x54083,a871)),x54082)) % 159.04/158.76 [5413]E(f312(x54131,x54132,x54133),f197(f877(a327)))+~P104(f331(f331(f245(a1),x54132),x54133)) % 159.04/158.76 [5418]~E(x54181,f194(f885(x54182,a871)))+~P104(f331(f331(f333(x54182),x54183),x54181)) % 159.04/158.76 [5447]~E(x54472,f331(f331(f80(a1),x54471),f331(f104(a1),x54473)))+P104(f331(f331(f244(a1),x54471),x54472)) % 159.04/158.76 [5463]E(f331(f331(f308(x54631),x54632),x54633),x54633)+~P104(f331(f331(f333(x54631),x54632),x54633)) % 159.04/158.76 [5474]E(x54741,f194(f885(x54742,a871)))+~E(f331(f331(f61(x54742),x54741),x54743),f194(f885(f885(x54742,a871),a871))) % 159.04/158.76 [5475]E(x54751,f194(f885(x54752,a871)))+~E(f194(f885(f885(x54752,a871),a871)),f331(f331(f61(x54752),x54751),x54753)) % 159.04/158.76 [5481]~P118(x54811)+E(f331(f331(f81(x54811),f331(f79(x54811),x54812)),f331(f79(x54811),x54813)),f331(f331(f81(x54811),x54812),x54813)) % 159.04/158.76 [5483]~P59(x54831)+E(f331(f331(f288(x54831),f331(f79(x54831),x54832)),f331(f79(x54831),x54833)),f331(f331(f288(x54831),x54832),x54833)) % 159.04/158.76 [5516]~P104(f331(x55163,x55162))+P104(f331(f331(f333(x55161),x55162),f331(f250(x55161),x55163))) % 159.04/158.76 [5554]E(f170(x55541,x55542,x55543),x55543)+P104(f331(f331(f333(x55541),x55542),f331(f172(x55541),x55543))) % 159.04/158.76 [5636]~P104(f331(f136(x56361),x56363))+P104(f331(f136(x56361),f331(f135(x56361,x56362),x56363))) % 159.04/158.76 [5681]~P26(x56811)+E(f331(f331(f39(x56811),f45(x56811,x56812,x56813)),x56813),f2(x56811)) % 159.04/158.76 [5700]E(f176(x57001,f331(f331(f150(x57001),x57002),f117(x57001)),x57003),f117(x57001))+P104(f331(f331(f333(a876),f2(a876)),x57003)) % 159.04/158.76 [5706]E(x57061,f2(a876))+E(f331(f171(x57062),f169(x57062,x57061,x57063)),f169(x57062,f331(f331(f22(a876),x57061),f78(a876)),x57063)) % 159.04/158.76 [5758]E(f331(f331(f150(x57581),x57582),x57583),f139(x57581,x57582,x57583))+P104(f331(f331(f333(x57581),x57582),f331(f172(x57581),x57583))) % 159.04/158.76 [5767]E(x57671,x57672)+~E(f331(f331(f81(a876),f331(a116,x57673)),x57671),f331(f331(f81(a876),f331(a116,x57673)),x57672)) % 159.04/158.76 [5768]~E(x57682,f331(f331(f80(a1),x57681),f331(f104(a1),f331(a116,x57683))))+P104(f331(f331(f245(a1),x57681),x57682)) % 159.04/158.76 [5873]~E(x58733,f117(x58731))+E(f331(f331(f331(f189(f877(x58731),f877(x58731)),x58732),f167(x58731)),x58733),f117(x58731)) % 159.04/158.76 [5877]P104(f331(x58771,x58772))+~P104(f331(f331(f333(x58773),x58772),f331(f250(x58773),x58771))) % 159.04/158.76 [5909]E(x59091,x59092)+~E(f331(f331(f308(x59093),x59091),f194(f885(x59093,a871))),f331(f331(f308(x59093),x59092),f194(f885(x59093,a871)))) % 159.04/158.76 [5920]~P108(x59201)+E(f331(f331(f105(f885(x59201,a871)),f331(f251(x59201),x59202)),f331(f300(x59201,x59202),x59203)),f194(f885(x59201,a871))) % 159.04/158.76 [5963]E(f139(x59631,x59632,x59633),x59633)+~P104(f331(f331(f333(x59631),x59632),f331(f172(x59631),x59633))) % 159.04/158.76 [5987]~P77(x59871)+E(f331(f309(x59871,x59871,f79(x59871)),f331(f300(x59871,x59872),x59873)),f303(x59871,f331(f79(x59871),x59873),f331(f79(x59871),x59872))) % 159.04/158.76 [5996]E(f331(f195(f877(x59961)),f170(x59961,x59962,x59963)),f331(f195(f877(x59961)),x59963))+P104(f331(f331(f333(x59961),x59962),f331(f172(x59961),x59963))) % 159.04/158.76 [6048]~P108(x60481)+E(f331(f331(f105(f885(x60481,a871)),f331(f300(x60481,x60482),x60483)),f331(f252(x60481),x60483)),f194(f885(x60481,a871))) % 159.04/158.76 [6071]~P77(x60711)+E(f331(f309(x60711,x60711,f79(x60711)),f304(x60711,x60712,x60713)),f304(x60711,f331(f79(x60711),x60713),f331(f79(x60711),x60712))) % 159.04/158.76 [6072]~P77(x60721)+E(f331(f309(x60721,x60721,f79(x60721)),f301(x60721,x60722,x60723)),f301(x60721,f331(f79(x60721),x60723),f331(f79(x60721),x60722))) % 159.04/158.76 [6129]E(f176(x61291,f331(f331(f150(x61291),x61292),f117(x61291)),x61293),f331(f331(f150(x61291),x61292),f117(x61291)))+~P104(f331(f331(f333(a876),f2(a876)),x61293)) % 159.04/158.76 [6136]~P77(x61361)+E(f331(f309(x61361,x61361,f79(x61361)),f303(x61361,x61362,x61363)),f331(f300(x61361,f331(f79(x61361),x61363)),f331(f79(x61361),x61362))) % 159.04/158.76 [6156]~P27(x61561)+E(f45(x61561,f331(f79(x61561),f45(x61561,x61562,x61563)),x61563),f45(x61561,f331(f79(x61561),x61562),x61563)) % 159.04/158.76 [6259]~P104(f331(f62(f884(x62592,x62591)),x62593))+P104(f331(f62(x62591),f331(f261(x62592,x62591),x62593))) % 159.04/158.76 [6260]~P104(f331(f62(f884(x62601,x62602)),x62603))+P104(f331(f62(x62601),f331(f263(x62601,x62602),x62603))) % 159.04/158.76 [6266]~P108(x62661)+E(f331(f331(f105(f885(x62661,a871)),f304(x62661,x62662,x62663)),f331(f252(x62661),x62663)),f194(f885(x62661,a871))) % 159.04/158.76 [6267]~P108(x62671)+E(f331(f331(f105(f885(x62671,a871)),f303(x62671,x62672,x62673)),f331(f302(x62671),x62673)),f194(f885(x62671,a871))) % 159.04/158.76 [6268]~P108(x62681)+E(f331(f331(f105(f885(x62681,a871)),f301(x62681,x62682,x62683)),f331(f302(x62681),x62683)),f194(f885(x62681,a871))) % 159.04/158.76 [6334]E(f331(f331(f164(x63341),x63342),f548(x63342,x63343,x63341)),x63343)+~P104(f331(f331(f333(x63341),x63343),f331(f172(x63341),x63342))) % 159.04/158.76 [6473]E(x64731,f117(x64732))+~E(f331(f331(f331(f189(f877(x64732),f877(x64732)),x64733),f167(x64732)),x64731),f117(x64732)) % 159.04/158.76 [6575]~P104(f331(f62(f884(x65752,x65751)),x65753))+P104(f331(f62(f884(x65751,x65752)),f331(f285(x65752,x65751),x65753))) % 159.04/158.76 [6727]P53(x67271,x67272,x67273)+P104(f331(f331(f333(x67271),f751(x67273,x67272,x67271)),x67272)) % 159.04/158.76 [6728]P53(x67281,x67282,x67283)+P104(f331(f331(f333(x67281),f750(x67283,x67282,x67281)),x67282)) % 159.04/158.76 [6740]P104(f331(f319(x67401,x67402),x67403))+P104(f331(f331(x67402,f505(x67403,x67402,x67401)),x67403)) % 159.04/158.76 [6741]P104(f331(f319(x67411,x67412),x67413))+P104(f331(f331(x67412,f519(x67413,x67412,x67411)),x67413)) % 159.04/158.76 [6772]E(f331(f195(f877(x67721)),f170(x67721,x67722,x67723)),f331(f331(f22(a876),f331(f195(f877(x67721)),x67723)),f78(a876)))+~P104(f331(f331(f333(x67721),x67722),f331(f172(x67721),x67723))) % 159.04/158.76 [6812]P104(f331(f258(x68121,x68122),x68123))+P104(f331(f331(f333(x68121),f558(x68123,x68122,x68121)),x68123)) % 159.04/158.76 [6822]~P104(f331(f62(f884(x68222,x68221)),f331(f285(x68221,x68222),x68223)))+P104(f331(f62(f884(x68221,x68222)),x68223)) % 159.04/158.76 [6878]~P104(f331(f331(f333(x68781),x68782),f331(f172(x68781),f118(x68781,x68783))))+P104(f331(f331(f333(x68781),x68782),f331(f172(x68781),x68783))) % 159.04/158.76 [6883]P23(x68831,x68832,x68833)+P104(f331(f331(f333(f875(x68831)),f574(x68833,x68832,x68831)),x68833)) % 159.04/158.76 [6913]E(f331(f135(x69131,x69132),x69133),x69133)+P104(f331(f331(f333(x69131),f621(x69133,x69132,x69131)),f331(f172(x69131),x69133))) % 159.04/158.76 [6928]E(f331(f135(x69281,x69282),x69283),f117(x69281))+P104(f331(f331(f333(x69281),f586(x69283,x69282,x69281)),f331(f172(x69281),x69283))) % 159.04/158.76 [6951]P33(x69511,x69512,x69513)+P104(f331(f331(f333(x69511),f804(x69513,x69512,x69511)),f331(f172(x69511),x69513))) % 159.04/158.76 [6952]P33(x69521,x69522,x69523)+P104(f331(f331(f333(x69521),f805(x69523,x69522,x69521)),f331(f172(x69521),x69523))) % 159.04/158.76 [6953]P33(x69531,x69532,x69533)+P104(f331(f331(f333(x69531),f790(x69532,x69533,x69531)),f331(f172(x69531),x69533))) % 159.04/158.76 [6956]E(f177(x69561,x69562,x69563),x69563)+P104(f331(f331(f333(x69561),f634(x69563,x69562,x69561)),f331(f172(x69561),x69563))) % 159.04/158.76 [7037]P104(f331(f159(x70371,x70372),x70373))+P104(f331(f331(f333(x70371),f622(x70373,x70372,x70371)),f331(f172(x70371),x70373))) % 159.04/158.76 [7046]~P35(x70461,x70463,x70462)+P104(f331(f331(f333(x70461),f726(x70462,x70463,x70461)),f331(f172(x70461),x70462))) % 159.04/158.76 [7047]~P37(x70471,x70473,x70472)+P104(f331(f331(f333(x70471),f806(x70472,x70473,x70471)),f331(f172(x70471),x70472))) % 159.04/158.76 [7082]P104(f331(f331(f333(x70821),x70822),f792(x70823,x70822,x70821)))+~P104(f331(f331(f333(x70821),x70822),f40(f885(x70821,a871),x70823))) % 159.04/158.76 [7083]~P69(x70831)+E(f331(f331(f80(x70831),f331(f331(f6(a876,x70831),x70832),f331(f251(a876),x70833))),f331(x70832,x70833)),f331(f331(f6(a876,x70831),x70832),f331(f251(a876),f331(a116,x70833)))) % 159.04/158.76 [7172]~P35(x71722,x71721,x71723)+P104(f331(x71721,f331(f331(f164(x71722),x71723),f742(x71723,x71721,x71722)))) % 159.04/158.76 [7185]~P104(f331(f331(f333(x71851),x71852),f743(x71852,x71853,x71851)))+P104(f331(f331(f333(x71851),x71852),f41(f885(x71851,a871),x71853))) % 159.04/158.76 [7215]~P69(x72151)+E(f331(f331(f80(x72151),f331(f331(f6(a876,x72151),x72152),f331(f299(a876),x72153))),f331(x72152,f331(a116,x72153))),f331(f331(f6(a876,x72151),x72152),f331(f299(a876),f331(a116,x72153)))) % 159.04/158.76 [7350]P104(f331(f331(f333(f877(x73501)),x73502),f160(x73501,x73503)))+P104(f331(f331(f333(x73501),f588(x73503,x73502,x73501)),f331(f172(x73501),x73502))) % 159.04/158.76 [7367]~P104(f331(f331(f333(f877(x73671)),x73672),f160(x73671,f320(x73671,x73673))))+P104(f331(f331(f333(f877(x73671)),x73672),f320(f877(x73671),f156(x73671,x73673)))) % 159.04/158.76 [7392]~P104(f331(f331(f333(f877(x73921)),x73922),f320(f877(x73921),f156(x73921,x73923))))+P104(f331(f331(f333(f877(x73921)),x73922),f160(x73921,f320(x73921,x73923)))) % 159.04/158.76 [7428]E(f331(f331(f331(f189(f877(x74281),f877(x74281)),x74282),f167(x74281)),x74283),x74283)+~P104(f331(f331(f244(a876),f331(f195(f877(x74281)),x74283)),f78(a876))) % 159.04/158.76 [7464]E(f331(f331(f126(x74641),f761(x74642,x74643,x74641)),f331(f331(f150(x74641),x74643),f777(x74642,x74643,x74641))),x74642)+~P104(f331(f331(f333(x74641),x74643),f331(f172(x74641),x74642))) % 159.04/158.76 [7465]E(f331(f331(f126(x74651),f778(x74652,x74653,x74651)),f331(f331(f150(x74651),x74653),f779(x74652,x74653,x74651))),x74652)+~P104(f331(f331(f333(x74651),x74653),f331(f172(x74651),x74652))) % 159.04/158.76 [7466]E(f331(f331(f126(x74661),f780(x74662,x74663,x74661)),f331(f331(f150(x74661),x74663),f781(x74662,x74663,x74661))),x74662)+~P104(f331(f331(f333(x74661),x74663),f331(f172(x74661),x74662))) % 159.04/158.76 [7490]~P21(x74901,x74902,x74903,f253(f885(x74901,a871)))+P21(f877(x74901),f877(x74902),f331(f153(x74901,x74902),x74903),f253(f885(f877(x74901),a871))) % 159.04/158.76 [7638]E(x76381,f331(f331(f80(a876),f331(f331(f81(a876),f331(f264(a876,a876),x76382)),x76383)),f331(f268(a876,a876),x76382)))+~P104(f331(f48(x76381,x76383),x76382)) % 159.04/158.76 [7646]P21(x76461,x76462,x76463,f253(f885(x76461,a871)))+~P21(f877(x76461),f877(x76462),f331(f153(x76461,x76462),x76463),f253(f885(f877(x76461),a871))) % 159.04/158.76 [7684]~P104(f331(f331(f201(x76841),x76842),x76843))+P104(f331(f331(f331(f331(a203,x76841),x76842),f463(x76843,x76842,x76841)),x76843)) % 159.04/158.76 [7688]P104(f331(f331(f333(f885(x76881,a871)),f743(x76882,x76883,x76881)),x76883))+P104(f331(f331(f333(x76881),x76882),f41(f885(x76881,a871),x76883))) % 159.04/158.76 [7780]P104(f331(f331(f333(f877(x77801)),x77802),f160(x77801,x77803)))+~P104(f331(f331(f333(x77801),f588(x77803,x77802,x77801)),x77803)) % 159.04/158.76 [7880]P33(x78801,x78802,x78803)+~P104(f331(x78802,f331(f331(f164(x78801),x78803),f791(x78803,x78802,x78801)))) % 159.04/158.76 [7905]E(x79051,x79052)+~E(f331(f331(f7(x79053,f885(x79053,a871),a871),f333(x79053)),x79051),f331(f331(f7(x79053,f885(x79053,a871),a871),f333(x79053)),x79052)) % 159.04/158.76 [7911]~P104(f331(f331(f333(f884(x79111,x79111)),x79113),f262(x79111,x79112)))+P104(f331(f331(f333(x79111),f534(x79112,x79113,x79111)),x79112)) % 159.04/158.76 [7913]~P104(f331(f331(f333(x79131),x79133),f40(f885(x79131,a871),x79132)))+P104(f331(f331(f333(f885(x79131,a871)),f792(x79132,x79133,x79131)),x79132)) % 159.04/158.76 [8095]~P104(f331(f331(f333(x80951),x80952),f331(f172(x80951),f779(x80953,x80952,x80951))))+~P104(f331(f331(f333(x80951),x80952),f331(f172(x80951),x80953))) % 159.04/158.76 [8096]~P104(f331(f331(f333(x80961),x80962),f331(f172(x80961),f780(x80963,x80962,x80961))))+~P104(f331(f331(f333(x80961),x80962),f331(f172(x80961),x80963))) % 159.04/158.76 [8185]E(f331(f239(f880(f877(a327)),f877(a327),f312(x81851,x81852,f331(f331(f80(a1),x81853),f78(a1))),f236(f877(a327))),f331(x81851,x81853)),f312(x81851,x81852,x81853))+P104(f331(f331(f245(a1),x81852),x81853)) % 159.04/158.76 [8287]E(x82871,f117(x82872))+P104(f331(f331(f333(x82872),f331(f264(x82872,f884(a103,a103)),f331(f281(x82872,x82871),x82873))),f331(f172(x82872),x82871))) % 159.04/158.76 [8383]~P67(x83831)+E(f331(f141(x83831,x83831,f331(f7(x83831,x83831,x83831),f80(x83831)),x83832),f331(f168(x83831),x83833)),f331(f141(x83831,x83831,f80(x83831),x83832),x83833)) % 159.04/158.76 [8874]~P107(x88741)+E(f331(f172(x88741),f148(x88741,x88741,f5(x88741),x88742,x88743)),f331(f331(f308(x88741),x88742),f331(f172(x88741),x88743))) % 159.04/158.76 [8885]P104(f331(f331(f245(a876),f2(a876)),f753(x88851,x88852,x88853)))+~P104(f331(f331(f333(f884(x88853,x88853)),x88852),f331(f331(f287(x88853,x88853,x88853),x88851),f306(x88853,x88851)))) % 159.04/158.76 [9173]~P55(x91731,x91732)+~P104(f331(f331(f333(f884(x91731,x91731)),f331(f331(f265(x91731,x91731),x91733),x91733)),f331(f331(f287(x91731,x91731,x91731),x91732),f306(x91731,x91732)))) % 159.04/158.76 [9307]~E(f331(f331(f105(f885(f884(x93071,x93071),a871)),f331(f285(x93071,x93071),x93072)),f306(x93071,x93072)),f194(f885(f884(x93071,x93071),a871)))+~P104(f331(f331(f333(f884(x93071,x93071)),f331(f331(f265(x93071,x93071),x93073),x93073)),f331(f331(f287(x93071,x93071,x93071),x93072),f306(x93071,x93072)))) % 159.04/158.76 [9486]~P104(f331(f62(x94861),x94862))+P104(f331(f331(f244(a876),f331(f38(x94861),f331(f331(f22(f885(x94861,a871)),x94862),f331(f331(f308(x94861),x94863),f194(f885(x94861,a871)))))),f331(f38(x94861),x94862))) % 159.04/158.76 [5051]~E(x50513,f117(x50511))+E(f143(x50511,f331(f331(f150(x50511),x50512),x50513)),x50512) % 159.04/158.76 [5059]~E(x50593,f117(x50591))+E(f118(x50591,f331(f331(f150(x50591),x50592),x50593)),f117(x50591)) % 159.04/158.76 [5087]E(x50871,f117(x50872))+E(f143(x50872,f331(f331(f150(x50872),x50873),x50871)),f143(x50872,x50871)) % 159.04/158.76 [5089]E(x50891,f117(x50892))+E(f143(x50892,f331(f331(f126(x50892),x50893),x50891)),f143(x50892,x50891)) % 159.04/158.76 [5094]~E(x50943,f117(x50941))+E(f118(x50941,f331(f331(f126(x50941),x50942),x50943)),f118(x50941,x50942)) % 159.04/158.76 [5096]~E(x50963,f117(x50961))+E(f143(x50961,f331(f331(f126(x50961),x50962),x50963)),f143(x50961,x50962)) % 159.04/158.76 [5128]E(x51281,f117(x51282))+E(f331(f140(x51282),f331(f331(f126(x51282),x51281),x51283)),f331(f140(x51282),x51281)) % 159.04/158.76 [5159]~E(x51592,f117(x51591))+E(f331(f140(x51591),f331(f331(f126(x51591),x51592),x51593)),f331(f140(x51591),x51593)) % 159.04/158.76 [5214]~P75(x52141)+E(f331(f331(f114(x52141),x52142),f331(f331(f105(x52141),x52142),x52143)),x52142) % 159.04/158.76 [5215]~P75(x52151)+E(f331(f331(f105(x52151),x52152),f331(f331(f114(x52151),x52152),x52153)),x52152) % 159.04/158.76 [5216]~P107(x52161)+E(f331(f331(f242(x52161),x52162),f331(f331(f243(x52161),x52162),x52163)),x52162) % 159.04/158.76 [5217]~P107(x52171)+E(f331(f331(f243(x52171),x52172),f331(f331(f242(x52171),x52172),x52173)),x52172) % 159.04/158.76 [5236]~P26(x52361)+E(f45(x52361,f331(f331(f81(x52361),x52362),x52363),x52363),f2(x52361)) % 159.04/158.76 [5237]~P26(x52371)+E(f45(x52371,f331(f331(f81(x52371),x52372),x52373),x52372),f2(x52371)) % 159.04/158.76 [5310]~P64(x53101)+E(f331(f79(x53101),f331(f331(f22(x53101),x53102),x53103)),f331(f331(f22(x53101),x53103),x53102)) % 159.04/158.76 [5373]E(x53731,f117(x53732))+E(f118(x53732,f331(f331(f150(x53732),x53733),x53731)),f331(f331(f150(x53732),x53733),f118(x53732,x53731))) % 159.04/158.76 [5374]E(x53741,f117(x53742))+E(f118(x53742,f331(f331(f126(x53742),x53743),x53741)),f331(f331(f126(x53742),x53743),f118(x53742,x53741))) % 159.04/158.76 [5377]~P28(x53771)+E(f40(x53771,f331(f331(f308(x53771),x53772),x53773)),f331(f331(f114(x53771),x53772),f40(x53771,x53773))) % 159.04/158.76 [5378]~P28(x53781)+E(f41(x53781,f331(f331(f308(x53781),x53782),x53783)),f331(f331(f105(x53781),x53782),f41(x53781,x53783))) % 159.04/158.76 [5423]~P75(x54231)+E(f331(f331(f114(x54231),x54232),f331(f331(f114(x54231),x54232),x54233)),f331(f331(f114(x54231),x54232),x54233)) % 159.04/158.76 [5425]~P99(x54251)+E(f331(f331(f114(x54251),x54252),f331(f331(f114(x54251),x54252),x54253)),f331(f331(f114(x54251),x54252),x54253)) % 159.04/158.76 [5426]~P75(x54261)+E(f331(f331(f105(x54261),x54262),f331(f331(f105(x54261),x54262),x54263)),f331(f331(f105(x54261),x54262),x54263)) % 159.04/158.76 [5428]~P100(x54281)+E(f331(f331(f105(x54281),x54282),f331(f331(f105(x54281),x54282),x54283)),f331(f331(f105(x54281),x54282),x54283)) % 159.04/158.76 [5429]~P95(x54291)+E(f331(f331(f81(x54291),x54292),f331(f331(f81(x54291),x54292),x54293)),f331(f331(f81(x54291),x54292),x54293)) % 159.04/158.76 [5431]~P107(x54311)+E(f331(f331(f242(x54311),x54312),f331(f331(f242(x54311),x54312),x54313)),f331(f331(f242(x54311),x54312),x54313)) % 159.04/158.76 [5433]~P107(x54331)+E(f331(f331(f243(x54331),x54332),f331(f331(f243(x54331),x54332),x54333)),f331(f331(f243(x54331),x54332),x54333)) % 159.04/158.76 [5441]~P26(x54411)+E(f45(x54411,f331(f331(f80(x54411),x54412),x54413),x54413),f45(x54411,x54412,x54413)) % 159.04/158.76 [5442]~P26(x54421)+E(f45(x54421,f331(f331(f80(x54421),x54422),x54423),x54422),f45(x54421,x54423,x54422)) % 159.04/158.76 [5448]~P118(x54481)+E(f331(f331(f81(x54481),x54482),f331(f79(x54481),x54483)),f331(f79(x54481),f331(f331(f81(x54481),x54482),x54483))) % 159.04/158.76 [5449]~P59(x54491)+E(f331(f331(f288(x54491),x54492),f331(f79(x54491),x54493)),f331(f79(x54491),f331(f331(f288(x54491),x54492),x54493))) % 159.04/158.76 [5450]~P80(x54501)+E(f331(f331(f80(x54501),x54502),f331(f165(x54501),x54503)),f331(f165(x54501),f331(f331(f150(x54501),x54502),x54503))) % 159.04/158.76 [5480]~P118(x54801)+E(f331(f331(f81(x54801),f331(f79(x54801),x54802)),x54803),f331(f331(f81(x54801),x54802),f331(f79(x54801),x54803))) % 159.04/158.76 [5487]~P3(x54871,x54872,x54873)+E(f40(f885(x54871,a871),f331(f331(f61(x54871),x54872),x54873)),x54872) % 159.04/158.76 [5546]~P112(x55461)+E(f331(f331(f81(x55461),x55462),f331(f331(f255(x55461),x55462),x55463)),f331(f331(f255(x55461),x55462),f331(a116,x55463))) % 159.04/158.76 [5547]~P114(x55471)+E(f331(f331(f81(x55471),x55472),f331(f331(f255(x55471),x55472),x55473)),f331(f331(f255(x55471),x55472),f331(a116,x55473))) % 159.04/158.76 [5557]~P65(x55571)+E(f331(f331(f80(x55571),f331(f79(x55571),x55572)),f331(f331(f80(x55571),x55572),x55573)),x55573) % 159.04/158.76 [5580]~P143(x55801)+E(f331(f331(f255(x55801),f331(f104(x55801),x55802)),x55803),f331(f104(x55801),f331(f331(f255(a876),x55802),x55803))) % 159.04/158.76 [5581]~P138(x55811)+E(f331(f331(f255(x55811),f331(f106(x55811),x55812)),x55813),f331(f106(x55811),f331(f331(f255(a1),x55812),x55813))) % 159.04/158.76 [5587]~P86(x55871)+E(f331(f75(x55871),f331(f331(f22(x55871),x55872),x55873)),f331(f75(x55871),f331(f331(f22(x55871),x55873),x55872))) % 159.04/158.76 [5589]~P119(x55891)+E(f331(f331(f81(x55891),f82(x55891,x55892)),f82(x55891,x55893)),f82(x55891,f331(f331(f81(x55891),x55892),x55893))) % 159.04/158.76 [5593]E(x55931,f117(x55932))+E(f331(f331(f126(x55932),f331(f171(x55932),x55931)),x55933),f331(f171(x55932),f331(f331(f126(x55932),x55931),x55933))) % 159.04/158.76 [5598]~E(x55982,f331(a116,f331(f331(f80(a876),x55981),x55983)))+P104(f331(f331(f245(a876),x55981),x55982)) % 159.04/158.76 [5599]~P118(x55991)+E(f331(f331(f81(x55991),f331(f79(x55991),x55992)),x55993),f331(f79(x55991),f331(f331(f81(x55991),x55992),x55993))) % 159.04/158.76 [5600]~P116(x56001)+E(f331(f331(f288(x56001),f331(f79(x56001),x56002)),x56003),f331(f79(x56001),f331(f331(f288(x56001),x56002),x56003))) % 159.04/158.76 [5601]~P119(x56011)+E(f331(f331(f255(x56011),f331(f75(x56011),x56012)),x56013),f331(f75(x56011),f331(f331(f255(x56011),x56012),x56013))) % 159.04/158.76 [5699]E(f725(x56991,x56992,x56993),f756(x56991,x56992,x56993))+E(f331(f331(f105(f885(x56993,a871)),x56992),x56991),f194(f885(x56993,a871))) % 159.04/158.76 [5714]~P69(x57142)+E(f331(f331(f6(x57141,x57142),f331(f16(x57142,x57141),f2(x57142))),x57143),f2(x57142)) % 159.04/158.76 [5715]~P68(x57152)+E(f331(f331(f9(x57151,x57152),f331(f16(x57152,x57151),f78(x57152))),x57153),f78(x57152)) % 159.04/158.76 [5717]~P143(x57171)+E(f331(f331(f81(x57171),f331(f104(x57171),x57172)),f331(f104(x57171),x57173)),f331(f104(x57171),f331(f331(f81(a876),x57172),x57173))) % 159.04/158.76 [5718]~P143(x57181)+E(f331(f331(f80(x57181),f331(f104(x57181),x57182)),f331(f104(x57181),x57183)),f331(f104(x57181),f331(f331(f80(a876),x57182),x57183))) % 159.04/158.76 [5719]~P138(x57191)+E(f331(f331(f22(x57191),f331(f106(x57191),x57192)),f331(f106(x57191),x57193)),f331(f106(x57191),f331(f331(f22(a1),x57192),x57193))) % 159.04/158.76 [5720]~P138(x57201)+E(f331(f331(f81(x57201),f331(f106(x57201),x57202)),f331(f106(x57201),x57203)),f331(f106(x57201),f331(f331(f81(a1),x57202),x57203))) % 159.04/158.76 [5721]~P138(x57211)+E(f331(f331(f80(x57211),f331(f106(x57211),x57212)),f331(f106(x57211),x57213)),f331(f106(x57211),f331(f331(f80(a1),x57212),x57213))) % 159.04/158.76 [5722]~P92(x57221)+E(f331(f331(f22(x57221),f331(f107(x57221),x57222)),f331(f107(x57221),x57223)),f331(f107(x57221),f331(f331(f22(a1),x57222),x57223))) % 159.04/158.76 [5725]~P92(x57251)+E(f331(f331(f81(x57251),f331(f107(x57251),x57252)),f331(f107(x57251),x57253)),f331(f107(x57251),f331(f331(f81(a1),x57252),x57253))) % 159.04/158.76 [5726]~P92(x57261)+E(f331(f331(f80(x57261),f331(f107(x57261),x57262)),f331(f107(x57261),x57263)),f331(f107(x57261),f331(f331(f80(a1),x57262),x57263))) % 159.04/158.76 [5775]~E(x57753,x57752)+P104(f331(f331(f244(f885(x57751,a871)),x57752),x57753)) % 159.04/158.76 [5781]~E(x57812,x57813)+P104(f331(f331(f244(f885(x57811,a871)),x57812),x57813)) % 159.04/158.76 [5786]~P81(x57861)+E(f331(f331(f105(x57861),f331(f79(x57861),x57862)),f331(f79(x57861),x57863)),f331(f79(x57861),f331(f331(f114(x57861),x57862),x57863))) % 159.04/158.76 [5787]~P81(x57871)+E(f331(f331(f114(x57871),f331(f79(x57871),x57872)),f331(f79(x57871),x57873)),f331(f79(x57871),f331(f331(f105(x57871),x57872),x57873))) % 159.04/158.76 [5788]~P65(x57881)+E(f331(f331(f80(x57881),f331(f79(x57881),x57882)),f331(f79(x57881),x57883)),f331(f79(x57881),f331(f331(f80(x57881),x57883),x57882))) % 159.04/158.76 [5789]~P64(x57891)+E(f331(f331(f80(x57891),f331(f79(x57891),x57892)),f331(f79(x57891),x57893)),f331(f79(x57891),f331(f331(f80(x57891),x57892),x57893))) % 159.04/158.76 [5790]~P73(x57901)+E(f331(f331(f243(x57901),f331(f79(x57901),x57902)),f331(f79(x57901),x57903)),f331(f79(x57901),f331(f331(f242(x57901),x57902),x57903))) % 159.04/158.76 [5791]~P73(x57911)+E(f331(f331(f242(x57911),f331(f79(x57911),x57912)),f331(f79(x57911),x57913)),f331(f79(x57911),f331(f331(f243(x57911),x57912),x57913))) % 159.04/158.76 [5792]~P119(x57921)+E(f331(f331(f81(x57921),f331(f75(x57921),x57922)),f331(f75(x57921),x57923)),f331(f75(x57921),f331(f331(f81(x57921),x57922),x57923))) % 159.04/158.76 [5793]~P61(x57931)+E(f331(f331(f288(x57931),f331(f75(x57931),x57932)),f331(f75(x57931),x57933)),f331(f75(x57931),f331(f331(f288(x57931),x57932),x57933))) % 159.04/158.76 [5794]~P80(x57941)+E(f331(f331(f80(x57941),f331(f165(x57941),x57942)),f331(f165(x57941),x57943)),f331(f165(x57941),f331(f331(f126(x57941),x57942),x57943))) % 159.04/158.76 [5795]E(x57951,f194(f885(x57952,a871)))+~E(f331(f331(f114(f885(x57952,a871)),x57953),x57951),f194(f885(x57952,a871))) % 159.04/158.76 [5796]E(x57961,f194(f885(x57962,a871)))+~E(f331(f331(f114(f885(x57962,a871)),x57961),x57963),f194(f885(x57962,a871))) % 159.04/158.76 [5797]~P146(x57971,x57973,x57972)+P104(f331(x57971,f331(f331(f39(a1),x57972),x57973))) % 159.04/158.76 [5847]~P104(f331(f62(x58471),x58473))+P104(f331(f62(x58471),f331(f331(f308(x58471),x58472),x58473))) % 159.04/158.76 [5848]~P104(f331(f136(x58481),x58483))+P104(f331(f136(x58481),f331(f331(f175(x58481),x58482),x58483))) % 159.04/158.76 [5849]~P104(f331(f136(x58491),x58493))+P104(f331(f136(x58491),f331(f331(f137(x58491),x58492),x58493))) % 159.04/158.76 [5878]~P75(x58781)+P104(f331(f331(f244(x58781),x58782),f331(f331(f114(x58781),x58783),x58782))) % 159.04/158.76 [5879]~P99(x58791)+P104(f331(f331(f244(x58791),x58792),f331(f331(f114(x58791),x58793),x58792))) % 159.04/158.76 [5880]~P75(x58801)+P104(f331(f331(f244(x58801),x58802),f331(f331(f114(x58801),x58802),x58803))) % 159.04/158.76 [5881]~P99(x58811)+P104(f331(f331(f244(x58811),x58812),f331(f331(f114(x58811),x58812),x58813))) % 159.04/158.76 [5882]~P107(x58821)+P104(f331(f331(f244(x58821),x58822),f331(f331(f243(x58821),x58823),x58822))) % 159.04/158.76 [5883]~P107(x58831)+P104(f331(f331(f244(x58831),x58832),f331(f331(f243(x58831),x58832),x58833))) % 159.04/158.76 [5897]~E(x58971,f2(a876))+E(f331(f331(f39(a876),f331(f331(f81(a876),x58971),x58972)),f331(f331(f81(a876),x58971),x58973)),f2(a876)) % 159.04/158.76 [5966]P104(f331(x59661,x59662))+P104(f331(f331(f201(f32(x59661,x59663)),x59662),x59662)) % 159.04/158.76 [5981]~P92(x59811)+E(f331(f331(f22(x59811),f331(f107(x59811),x59812)),f331(f107(x59811),x59813)),f331(f107(x59811),f331(f331(f80(a1),x59812),f331(f79(a1),x59813)))) % 159.04/158.76 [6035]E(x60351,f2(a876))+E(f331(f331(f39(a876),f331(f331(f81(a876),x60351),x60352)),f331(f331(f81(a876),x60351),x60353)),f331(f331(f39(a876),x60352),x60353)) % 159.04/158.76 [6069]E(f151(x60691,f331(f331(f150(x60691),x60692),x60693)),f331(f331(f150(x60691),x60692),f151(x60691,x60693)))+P104(f331(f331(f333(x60691),x60692),f331(f172(x60691),x60693))) % 159.04/158.76 [6103]P146(x61031,x61032,x61033)+~P104(f331(x61031,f331(f331(f39(a1),x61033),x61032))) % 159.04/158.76 [6178]E(x61781,f117(x61782))+E(f331(f331(f150(x61782),f331(f140(x61782),x61781)),f331(f331(f175(x61782),x61783),f331(f171(x61782),x61781))),f331(f331(f175(x61782),f331(a116,x61783)),x61781)) % 159.04/158.76 [6184]E(f331(f331(f22(f885(x61841,a871)),x61842),x61843),x61842)+~E(f331(f331(f105(f885(x61841,a871)),x61842),x61843),f194(f885(x61841,a871))) % 159.04/158.76 [6197]E(f151(x61971,f331(f331(f150(x61971),x61972),x61973)),f151(x61971,x61973))+~P104(f331(f331(f333(x61971),x61972),f331(f172(x61971),x61973))) % 159.04/158.76 [6229]~P104(f331(f331(f244(a876),x62291),x62293))+P104(f331(f331(f244(a876),x62291),f331(f331(f80(a876),x62292),x62293))) % 159.04/158.76 [6231]~P104(f331(f331(f244(a876),x62311),x62312))+P104(f331(f331(f244(a876),x62311),f331(f331(f80(a876),x62312),x62313))) % 159.04/158.76 [6233]~P104(f331(f331(f245(a876),x62331),x62333))+P104(f331(f331(f245(a876),x62331),f331(f331(f80(a876),x62332),x62333))) % 159.04/158.76 [6235]~P104(f331(f331(f245(a876),x62351),x62352))+P104(f331(f331(f245(a876),x62351),f331(f331(f80(a876),x62352),x62353))) % 159.04/158.76 [6274]P104(f331(f62(x62741),x62742))+~P104(f331(f62(x62741),f331(f331(f308(x62741),x62743),x62742))) % 159.04/158.76 [6275]P104(f331(f136(x62751),x62752))+~P104(f331(f136(x62751),f331(f331(f150(x62751),x62753),x62752))) % 159.04/158.76 [6276]P104(f331(f136(x62761),x62762))+~P104(f331(f136(x62761),f331(f331(f126(x62761),x62763),x62762))) % 159.04/158.76 [6277]P104(f331(f136(x62771),x62772))+~P104(f331(f136(x62771),f331(f331(f126(x62771),x62772),x62773))) % 159.04/158.76 [6323]~P114(x63231)+E(f331(f331(f80(x63231),x63232),f331(f331(f81(x63231),x63233),x63232)),f331(f331(f81(x63231),f331(f331(f80(x63231),x63233),f78(x63231))),x63232)) % 159.04/158.76 [6369]~E(x63691,x63692)+~P104(f331(f331(f245(f885(x63693,a871)),x63691),x63692)) % 159.04/158.76 [6413]P104(f331(f331(f333(x64131),x64132),x64133))+P104(f331(f331(f333(x64131),x64132),f331(f79(f885(x64131,a871)),x64133))) % 159.04/158.76 [6419]E(f143(x64191,f331(f331(f137(x64191),x64192),x64193)),f143(x64191,x64193))+~P104(f331(f331(f245(a876),x64192),f331(f195(f877(x64191)),x64193))) % 159.04/158.76 [6420]E(f331(f331(f175(x64201),x64202),f118(x64201,x64203)),f331(f331(f175(x64201),x64202),x64203))+~P104(f331(f331(f245(a876),x64202),f331(f195(f877(x64201)),x64203))) % 159.04/158.76 [6475]E(f331(f331(f331(f189(f877(x64751),f877(x64751)),x64752),f167(x64751)),x64753),x64753)+~E(f45(a876,x64752,f331(f195(f877(x64751)),x64753)),f2(a876)) % 159.04/158.76 [6482]~P3(x64821,x64823,x64822)+E(f331(f331(f287(x64821,x64821,x64821),f331(f285(x64821,x64821),x64822)),x64822),x64822) % 159.04/158.76 [6524]~E(f331(f331(f114(f885(x65241,a871)),x65242),x65243),x65243)+P104(f331(f331(f244(f885(x65241,a871)),x65242),x65243)) % 159.04/158.76 [6529]~P52(x65291,x65291,x65293)+P52(x65291,x65291,f331(f331(f189(f884(x65291,x65291),a871),x65292),x65293)) % 159.04/158.76 [6531]~P104(f331(f331(f333(x65311),x65313),f331(f172(x65311),x65312)))+P104(f331(f331(f245(a876),f2(a876)),f331(f195(f877(x65311)),x65312))) % 159.04/158.76 [6557]~P86(x65571)+E(f331(f75(x65571),f331(f331(f80(x65571),f331(f75(x65571),x65572)),f331(f75(x65571),x65573))),f331(f331(f80(x65571),f331(f75(x65571),x65572)),f331(f75(x65571),x65573))) % 159.04/158.76 [6568]E(f331(f331(f39(a876),f331(f331(f81(a876),x65681),x65682)),f331(f331(f81(a876),x65681),x65683)),f331(f331(f39(a876),x65682),x65683))+~P104(f331(f331(f245(a876),f2(a876)),x65681)) % 159.04/158.76 [6616]E(x66161,x66162)+~P104(f331(f331(f331(f331(a203,a24),x66161),x66163),x66162)) % 159.04/158.76 [6706]~P104(f331(f62(x67061),x67063))+E(f331(f331(f65(x67061,f885(x67061,a871),f308(x67061)),x67062),x67063),f331(f331(f114(f885(x67061,a871)),x67063),x67062)) % 159.04/158.76 [6765]E(f331(f331(f114(f885(x67651,a871)),x67652),x67653),x67652)+~P104(f331(f331(f244(f885(x67651,a871)),x67653),x67652)) % 159.04/158.76 [6767]E(f331(f331(f114(f885(x67671,a871)),x67672),x67673),x67673)+~P104(f331(f331(f244(f885(x67671,a871)),x67672),x67673)) % 159.04/158.76 [6768]E(f331(f331(f105(f885(x67681,a871)),x67682),x67683),x67683)+~P104(f331(f331(f244(f885(x67681,a871)),x67683),x67682)) % 159.04/158.76 [6769]E(f331(f331(f105(f885(x67691,a871)),x67692),x67693),x67692)+~P104(f331(f331(f244(f885(x67691,a871)),x67692),x67693)) % 159.04/158.76 [6820]~P104(f331(f136(x68201),x68202))+E(f331(f331(f22(f885(x68201,a871)),f331(f172(x68201),x68202)),f331(f331(f308(x68201),x68203),f194(f885(x68201,a871)))),f331(f172(x68201),f170(x68201,x68203,x68202))) % 159.04/158.76 [6873]P39(x68731,x68732)+~P39(x68731,f331(f331(f189(f884(x68731,x68731),a871),x68733),x68732)) % 159.04/158.76 [6939]P104(f331(f49(x69391,x69392),f331(a51,x69393)))+~P104(f331(f49(f331(f79(a1),x69391),f331(f79(a1),x69392)),x69393)) % 159.04/158.76 [6944]E(f331(f331(f22(f885(x69441,a871)),f331(f331(f308(x69441),x69442),x69443)),f331(f331(f308(x69441),x69442),f194(f885(x69441,a871)))),x69443)+P104(f331(f331(f333(x69441),x69442),x69443)) % 159.04/158.76 [6965]E(f331(f331(f105(f885(x69651,a871)),f331(f172(x69651),x69652)),f331(f172(x69651),x69653)),f194(f885(x69651,a871)))+~P104(f331(f136(x69651),f331(f331(f126(x69651),x69652),x69653))) % 159.04/158.76 [6981]~P104(f331(f331(f333(x69811),x69812),f331(f172(x69811),x69813)))+~P104(f331(f136(x69811),f331(f331(f150(x69811),x69812),x69813))) % 159.04/158.76 [7053]P33(x70531,x70532,x70533)+P104(f331(f331(f245(a876),f791(x70533,x70532,x70531)),f331(f195(f877(x70531)),x70533))) % 159.04/158.76 [7063]E(f331(f331(f105(f885(x70631,a871)),x70632),x70633),f194(f885(x70631,a871)))+P104(f331(f331(f333(x70631),f725(x70633,x70632,x70631)),x70632)) % 159.04/158.76 [7064]E(f331(f331(f105(f885(x70641,a871)),x70642),x70643),f194(f885(x70641,a871)))+P104(f331(f331(f333(x70641),f756(x70643,x70642,x70641)),x70643)) % 159.04/158.76 [7068]E(f118(x70681,f331(f331(f175(x70681),x70682),x70683)),f331(f331(f175(x70681),f331(f331(f22(a876),x70682),f78(a876))),x70683))+~P104(f331(f331(f244(a876),x70682),f331(f195(f877(x70681)),x70683))) % 159.04/158.76 [7127]~P35(x71273,x71272,x71271)+P104(f331(f331(f245(a876),f742(x71271,x71272,x71273)),f331(f195(f877(x71273)),x71271))) % 159.04/158.76 [7145]P104(f331(f331(f245(a876),f2(a876)),x71451))+P104(f331(f331(f244(a876),f331(f331(f81(a876),x71452),x71451)),f331(f331(f81(a876),x71453),x71451))) % 159.04/158.76 [7146]P104(f331(f331(f245(a876),f2(a876)),x71461))+P104(f331(f331(f244(a876),f331(f331(f81(a876),x71461),x71462)),f331(f331(f81(a876),x71461),x71463))) % 159.04/158.76 [7149]~P104(f331(f331(f333(x71491),x71492),x71493))+~P104(f331(f331(f333(x71491),x71492),f331(f79(f885(x71491,a871)),x71493))) % 159.04/158.76 [7156]~P104(f331(f331(f245(f885(x71561,a871)),x71562),x71563))+P104(f331(f331(f244(f885(x71561,a871)),x71562),x71563)) % 159.04/158.76 [7255]~P104(f331(f331(f244(a876),x72553),x72552))+P104(f331(f331(f244(a876),f331(f331(f22(a876),x72551),x72552)),f331(f331(f22(a876),x72551),x72553))) % 159.04/158.76 [7256]~P104(f331(f331(f244(a876),x72561),x72563))+P104(f331(f331(f244(a876),f331(f331(f22(a876),x72561),x72562)),f331(f331(f22(a876),x72563),x72562))) % 159.04/158.76 [7258]~P104(f331(f331(f244(a876),x72582),x72583))+P104(f331(f331(f244(a876),f331(f331(f81(a876),x72581),x72582)),f331(f331(f81(a876),x72581),x72583))) % 159.04/158.76 [7260]~P104(f331(f331(f244(a876),x72601),x72603))+P104(f331(f331(f244(a876),f331(f331(f81(a876),x72601),x72602)),f331(f331(f81(a876),x72603),x72602))) % 159.04/158.76 [7261]~P104(f331(f331(f244(a876),x72612),x72613))+P104(f331(f331(f244(a876),f331(f331(f80(a876),x72611),x72612)),f331(f331(f80(a876),x72611),x72613))) % 159.04/158.76 [7262]~P104(f331(f331(f244(a876),x72621),x72623))+P104(f331(f331(f244(a876),f331(f331(f80(a876),x72621),x72622)),f331(f331(f80(a876),x72623),x72622))) % 159.04/158.76 [7263]~P104(f331(f331(f244(a876),x72631),x72633))+P104(f331(f331(f244(a876),f331(f331(f39(a876),x72631),x72632)),f331(f331(f39(a876),x72633),x72632))) % 159.04/158.76 [7264]~P104(f331(f331(f244(a1),x72642),x72643))+P104(f331(f331(f244(a1),f331(f331(f80(a1),x72641),x72642)),f331(f331(f80(a1),x72641),x72643))) % 159.04/158.76 [7267]~P104(f331(f331(f245(a876),x72672),x72673))+P104(f331(f331(f245(a876),f331(f331(f80(a876),x72671),x72672)),f331(f331(f80(a876),x72671),x72673))) % 159.04/158.76 [7268]~P104(f331(f331(f245(a876),x72681),x72683))+P104(f331(f331(f245(a876),f331(f331(f80(a876),x72681),x72682)),f331(f331(f80(a876),x72683),x72682))) % 159.04/158.76 [7269]~P104(f331(f331(f245(a1),x72691),x72693))+P104(f331(f331(f245(a1),f331(f331(f80(a1),x72691),x72692)),f331(f331(f80(a1),x72693),x72692))) % 159.04/158.76 [7349]E(x73491,x73492)+~P104(f331(f331(f333(x73493),x73491),f331(f331(f308(x73493),x73492),f194(f885(x73493,a871))))) % 159.04/158.76 [7351]~E(f331(f331(f105(f885(x73511,a871)),x73512),x73513),f194(f885(x73511,a871)))+P104(f331(f331(f244(f885(x73511,a871)),x73512),f331(f79(f885(x73511,a871)),x73513))) % 159.04/158.76 [7359]P104(f331(f331(f333(f885(x73591,a871)),x73592),f331(f307(x73591),x73593)))+~P104(f331(f331(f244(f885(x73591,a871)),x73592),x73593)) % 159.04/158.76 [7412]E(f331(f331(f150(x74121),f331(f331(f164(x74121),x74122),x74123)),f331(f331(f137(x74121),f331(a116,x74123)),x74122)),f331(f331(f137(x74121),x74123),x74122))+~P104(f331(f331(f245(a876),x74123),f331(f195(f877(x74121)),x74122))) % 159.04/158.76 [7439]P104(f331(f331(f333(f884(x74391,x74391)),x74392),f306(x74391,x74393)))+~P104(f331(f331(f333(f884(x74391,x74391)),x74392),x74393)) % 159.04/158.76 [7450]~P104(f331(f331(f333(f885(x74501,a871)),x74502),f331(f307(x74501),x74503)))+P104(f331(f331(f244(f885(x74501,a871)),x74502),x74503)) % 159.04/158.76 [7496]P104(f331(f331(f244(f885(x74961,a871)),x74962),f40(f885(x74961,a871),x74963)))+~P104(f331(f331(f333(f885(x74961,a871)),x74962),x74963)) % 159.04/158.76 [7521]~P138(x75211)+E(f331(f331(f81(x75211),f331(f331(f255(x75211),f331(f79(x75211),f78(x75211))),x75212)),f331(f331(f255(x75211),x75213),x75212)),f331(f331(f255(x75211),f331(f79(x75211),x75213)),x75212)) % 159.04/158.76 [7542]E(f331(f331(f164(x75421),x75422),f331(f331(f22(a876),f331(f195(f877(x75421)),x75422)),f331(a116,x75423))),f331(f331(f164(x75421),f331(f168(x75421),x75422)),x75423))+~P104(f331(f331(f245(a876),x75423),f331(f195(f877(x75421)),x75422))) % 159.04/158.76 [7559]~E(f331(f331(f105(f885(x75591,a871)),f656(x75593,x75592,x75591)),x75593),f194(f885(x75591,a871)))+E(f331(f331(f105(f885(x75591,a871)),f40(f885(x75591,a871),x75592)),x75593),f194(f885(x75591,a871))) % 159.04/158.76 [7620]~P104(f331(f331(f333(x76203),x76202),f331(f172(x76203),x76201)))+P104(f331(f331(f245(a876),f548(x76201,x76202,x76203)),f331(f195(f877(x76203)),x76201))) % 159.04/158.76 [7628]P104(f331(f331(f333(x76281),f331(f331(f164(x76281),x76282),x76283)),f331(f172(x76281),x76282)))+~P104(f331(f331(f245(a876),x76283),f331(f195(f877(x76281)),x76282))) % 159.04/158.76 [7728]~P104(f331(x77282,f641(x77283,x77282,x77281)))+E(f331(f331(f137(x77281),f331(f195(f877(x77281)),f177(x77281,x77282,x77283))),x77283),f117(x77281)) % 159.04/158.76 [7738]P104(f331(f331(f244(f885(f877(x77381),a871)),f160(x77381,x77382)),f160(x77381,x77383)))+~P104(f331(f331(f244(f885(x77381,a871)),x77382),x77383)) % 159.04/158.76 [7739]P104(f331(f331(f244(f885(f877(x77391),a871)),f159(x77391,x77392)),f159(x77391,x77393)))+~P104(f331(f331(f244(f885(x77391,a871)),x77392),x77393)) % 159.04/158.76 [7767]E(f331(f331(f105(f885(x77671,a871)),f40(f885(x77671,a871),x77672)),x77673),f194(f885(x77671,a871)))+P104(f331(f331(f333(f885(x77671,a871)),f656(x77673,x77672,x77671)),x77672)) % 159.04/158.76 [7770]~P104(f331(f331(f333(f885(x77701,a871)),x77703),x77702))+P104(f331(f331(f244(f885(x77701,a871)),f41(f885(x77701,a871),x77702)),x77703)) % 159.04/158.76 [7772]E(f331(f331(f105(f885(x77721,a871)),x77722),x77723),f194(f885(x77721,a871)))+~P104(f331(f331(f244(f885(x77721,a871)),x77722),f331(f79(f885(x77721,a871)),x77723))) % 159.04/158.76 [7819]E(f331(f331(f22(a876),f331(f331(f80(a876),f331(f165(a876),x78191)),x78192)),f331(f331(f164(a876),x78191),x78193)),f331(f165(a876),f331(f331(f158(a876,x78191),x78193),x78192)))+~P104(f331(f331(f245(a876),x78193),f331(f195(f877(a876)),x78191))) % 159.04/158.76 [7868]P104(f331(f331(f244(a876),x78681),x78682))+~P104(f331(f331(f244(a876),f331(f331(f80(a876),x78683),x78681)),f331(f331(f80(a876),x78683),x78682))) % 159.04/158.76 [7871]P104(f331(f331(f245(a876),x78711),x78712))+~P104(f331(f331(f245(a876),f331(f331(f80(a876),x78713),x78711)),f331(f331(f80(a876),x78713),x78712))) % 159.04/158.76 [7872]P104(f331(f331(f245(a876),x78721),x78722))+~P104(f331(f331(f245(a876),f331(f331(f81(a876),x78723),x78721)),f331(f331(f81(a876),x78723),x78722))) % 159.04/158.76 [7873]P104(f331(f331(f245(a876),x78731),x78732))+~P104(f331(f331(f245(a876),f331(f331(f81(a876),x78731),x78733)),f331(f331(f81(a876),x78732),x78733))) % 159.04/158.76 [7903]P104(f331(f331(f245(a876),f2(a876)),x79031))+~P104(f331(f331(f245(a876),f331(f331(f81(a876),x79032),x79031)),f331(f331(f81(a876),x79033),x79031))) % 159.04/158.76 [7904]P104(f331(f331(f245(a876),f2(a876)),x79041))+~P104(f331(f331(f245(a876),f331(f331(f81(a876),x79041),x79042)),f331(f331(f81(a876),x79041),x79043))) % 159.04/158.76 [7977]E(f257(x79771,x79772,x79773),x79772)+~P104(f331(f331(f244(f885(x79771,a871)),x79773),f331(f331(f308(x79771),x79772),f194(f885(x79771,a871))))) % 159.04/158.76 [8035]~P104(f331(f136(x80351),x80353))+E(f331(f135(x80351,f331(f331(f8(a871,a871,x80351),a326),f331(a328,x80352))),x80353),f170(x80351,x80352,x80353)) % 159.04/158.76 [8058]E(f331(f331(f137(x80581),f331(f195(f877(x80581)),f177(x80581,x80582,x80583))),x80583),f117(x80581))+P104(f331(f331(f333(x80581),f641(x80583,x80582,x80581)),f331(f172(x80581),x80583))) % 159.04/158.76 [8062]E(f331(f331(f126(x80621),f331(f331(f175(x80621),x80622),x80623)),f331(f331(f150(x80621),f331(f331(f164(x80621),x80623),x80622)),f117(x80621))),f331(f331(f175(x80621),f331(a116,x80622)),x80623))+~P104(f331(f331(f245(a876),x80622),f331(f195(f877(x80621)),x80623))) % 159.04/158.76 [8124]E(f331(f135(x81241,f331(f331(f8(a871,a871,x81241),a326),f331(a328,x81242))),x81243),x81243)+P104(f331(f331(f333(x81241),x81242),f331(f172(x81241),x81243))) % 159.04/158.76 [8132]P104(f331(f331(f244(f885(f885(x81321,a871),a871)),f258(x81321,x81322)),f258(x81321,x81323)))+~P104(f331(f331(f244(f885(x81321,a871)),x81322),x81323)) % 159.04/158.76 [8176]~P104(f331(f136(x81761),x81763))+P104(f331(f136(x81761),f331(f331(f331(f189(f877(x81761),f877(x81761)),x81762),f167(x81761)),x81763))) % 159.04/158.76 [8182]~P104(f331(f331(f245(a876),x81822),x81823))+P104(f331(f331(f245(a876),f331(f331(f81(a876),f331(a116,x81821)),x81822)),f331(f331(f81(a876),f331(a116,x81821)),x81823))) % 159.04/158.76 [8204]P104(f331(f331(f244(f885(f885(x82041,a871),a871)),f331(f307(x82041),x82042)),f331(f307(x82041),x82043)))+~P104(f331(f331(f244(f885(x82041,a871)),x82042),x82043)) % 159.04/158.76 [8366]~P104(f331(f331(f244(f885(x83661,a871)),x83663),x83662))+P104(f331(f331(f244(f885(x83661,a871)),f331(f79(f885(x83661,a871)),x83662)),f331(f79(f885(x83661,a871)),x83663))) % 159.04/158.76 [8399]E(f331(f309(a876,a876,f331(f331(f7(a876,a876,a876),f22(a876)),x83991)),f331(f300(a876,x83992),x83993)),f331(f300(a876,f331(f331(f22(a876),x83992),x83991)),f331(f331(f22(a876),x83993),x83991)))+~P104(f331(f331(f245(a876),x83991),x83993)) % 159.04/158.76 [8427]~P80(x84271)+E(f331(f331(f80(x84271),x84272),f331(f141(x84271,x84271,f80(x84271),f2(x84271)),x84273)),f331(f141(x84271,x84271,f80(x84271),x84272),x84273)) % 159.04/158.76 [8510]~P86(x85101)+P104(f331(f331(f244(x85101),f331(f75(x85101),f331(f331(f22(x85101),x85102),x85103))),f331(f331(f80(x85101),f331(f75(x85101),x85102)),f331(f75(x85101),x85103)))) % 159.04/158.76 [8511]~P86(x85111)+P104(f331(f331(f244(x85111),f331(f75(x85111),f331(f331(f80(x85111),x85112),x85113))),f331(f331(f80(x85111),f331(f75(x85111),x85112)),f331(f75(x85111),x85113)))) % 159.04/158.76 [8521]E(f331(f331(f80(a1),f331(f331(f81(a1),x85211),f45(a1,f331(f331(f39(a1),x85212),x85211),x85213))),f45(a1,x85212,x85211)),f45(a1,x85212,f331(f331(f81(a1),x85211),x85213)))+~P104(f331(f331(f245(a1),f2(a1)),x85213)) % 159.04/158.76 [8527]E(f331(f331(f126(x85271),f331(f331(f175(x85271),x85272),x85273)),f331(f331(f150(x85271),f331(f140(x85271),f331(f331(f137(x85271),x85272),x85273))),f117(x85271))),f331(f331(f175(x85271),f331(a116,x85272)),x85273))+~P104(f331(f331(f245(a876),x85272),f331(f195(f877(x85271)),x85273))) % 159.04/158.76 [8546]E(f331(f276(x85461,f331(f331(f153(x85461,f884(a103,x85461)),f331(f265(a103,x85461),f78(a103))),x85462)),f331(a3,x85463)),f331(f331(f164(x85461),x85462),x85463))+~P104(f331(f331(f245(a876),x85463),f331(f195(f877(x85461)),x85462))) % 159.04/158.76 [8611]P104(f331(f331(f333(f884(x86111,x86111)),x86112),f331(f331(f287(x86111,x86111,x86111),x86113),f306(x86111,x86113))))+~P104(f331(f331(f333(f884(x86111,x86111)),x86112),x86113)) % 159.04/158.76 [8630]P104(f331(f331(f244(a876),x86301),x86302))+~P104(f331(f331(f244(a876),f331(f331(f81(a876),f331(a116,x86303)),x86301)),f331(f331(f81(a876),f331(a116,x86303)),x86302))) % 159.04/158.76 [8645]P104(f331(f331(f244(f885(x86451,a871)),x86452),x86453))+~P104(f331(f331(f244(f885(x86451,a871)),f331(f79(f885(x86451,a871)),x86453)),f331(f79(f885(x86451,a871)),x86452))) % 159.04/158.76 [8663]P104(f331(f136(x86631),x86632))+~P104(f331(f136(x86631),f331(f331(f331(f189(f877(x86631),f877(x86631)),x86633),f167(x86631)),x86632))) % 159.04/158.76 [8723]E(f331(f309(f884(x87231,x87232),x87232,f268(x87231,x87232)),f331(f172(f884(x87231,x87232)),x87233)),f186(x87231,x87232,f331(f178(x87231,x87232),x87233)))+~P104(f331(f136(x87231),f331(f331(f153(f884(x87231,x87232),x87231),f264(x87231,x87232)),x87233))) % 159.04/158.76 [8732]E(f331(f284(x87321,x87321,f306(x87321,x87322)),x87323),x87323)+~P104(f331(f331(f244(f885(x87321,a871)),f331(f284(x87321,x87321,x87322),x87323)),x87323)) % 159.04/158.76 [8774]~P107(x87741)+P30(x87741,f331(f135(x87741,f331(f331(f7(x87741,x87741,a871),a328),f331(x87742,x87743))),x87743)) % 159.04/158.76 [8780]~P104(f331(f331(f244(a876),x87801),x87802))+P104(f331(f331(f244(a876),x87801),f331(f141(a876,a876,f80(a876),x87802),x87803))) % 159.04/158.76 [8858]~P104(f331(f331(f333(f884(x88581,x88581)),x88582),f306(x88581,x88583)))+P104(f331(f331(f333(f884(x88581,x88581)),x88582),f331(f331(f189(f884(x88581,x88581),a871),f752(x88583,x88582,x88581)),x88583))) % 159.04/158.76 [8951]~P80(x89511)+E(f331(f331(f80(x89511),x89512),f331(f141(x89511,x89511,f331(f7(x89511,x89511,x89511),f80(x89511)),f2(x89511)),f331(f168(x89511),x89513))),f331(f141(x89511,x89511,f80(x89511),x89512),x89513)) % 159.04/158.76 [9219]P52(x92191,x92192,x92193)+P104(f331(f331(f333(f884(x92191,x92192)),f331(f331(f265(x92191,x92192),f749(x92193,x92192,x92191)),f724(x92193,x92192,x92191))),x92193)) % 159.04/158.76 [9220]P52(x92201,x92202,x92203)+P104(f331(f331(f333(f884(x92201,x92202)),f331(f331(f265(x92201,x92202),f749(x92203,x92202,x92201)),f723(x92203,x92202,x92201))),x92203)) % 159.04/158.76 [9292]~P104(f331(f331(f333(f884(x92921,x92921)),x92922),f331(f331(f287(x92921,x92921,x92921),x92923),f306(x92921,x92923))))+P104(f331(f331(f333(f884(x92921,x92921)),x92922),f331(f331(f189(f884(x92921,x92921),a871),f753(x92923,x92922,x92921)),x92923))) % 159.04/158.76 [9293]~P104(f331(x92931,f331(f331(f164(x92932),x92933),f331(f195(f877(x92932)),f177(x92932,x92931,x92933)))))+~P104(f331(f331(f245(a876),f331(f195(f877(x92932)),f177(x92932,x92931,x92933))),f331(f195(f877(x92932)),x92933))) % 159.04/158.76 [9382]~P104(f331(f331(f244(f885(x93821,a871)),x93822),x93823))+P104(f331(f331(f244(f885(x93821,a871)),f331(f331(f7(x93821,f885(x93821,a871),a871),f333(x93821)),x93822)),f331(f331(f7(x93821,f885(x93821,a871),a871),f333(x93821)),x93823))) % 159.04/158.76 [9435]~P104(f331(f331(f333(f884(f885(x94351,a871),f885(x94351,a871))),f331(f331(f265(f885(x94351,a871),f885(x94351,a871)),x94352),x94353)),f305(x94351)))+P104(f331(f331(f245(f885(x94351,a871)),x94352),x94353)) % 159.04/158.76 [9460]P53(x94601,x94602,x94603)+~P104(f331(f331(f333(f884(x94601,x94601)),f331(f331(f265(x94601,x94601),f751(x94603,x94602,x94601)),f750(x94603,x94602,x94601))),x94603)) % 159.04/158.76 [9461]P53(x94611,x94612,x94613)+~P104(f331(f331(f333(f884(x94611,x94611)),f331(f331(f265(x94611,x94611),f750(x94613,x94612,x94611)),f751(x94613,x94612,x94611))),x94613)) % 159.04/158.76 [9497]~P104(f331(f331(f333(f884(f877(x94971),f877(x94971))),f331(f331(f265(f877(x94971),f877(x94971)),x94972),x94972)),f146(x94971,x94973)))+P104(f331(f331(f333(f884(x94971,x94971)),f331(f331(f265(x94971,x94971),f560(x94972,x94973,x94971)),f560(x94972,x94973,x94971))),x94973)) % 159.04/158.76 [9548]P104(f331(f331(f244(f885(x95481,a871)),x95482),x95483))+~P104(f331(f331(f244(f885(x95481,a871)),f331(f331(f7(x95481,f885(x95481,a871),a871),f333(x95481)),x95482)),f331(f331(f7(x95481,f885(x95481,a871),a871),f333(x95481)),x95483))) % 159.04/158.76 [9629]E(f331(f331(f22(a876),f331(f331(f6(a876,a876),x96291),f331(f251(a876),x96292))),f331(f331(f6(a876,a876),x96293),f331(f251(a876),x96292))),f331(f331(f6(a876,a876),f331(f331(f18(a876,a876,a876),f331(f331(f8(a876,f885(a876,a876),a876),f22(a876)),x96291)),x96293)),f331(f251(a876),x96292)))+~P104(f331(f331(f244(a876),f331(x96293,f384(x96292,x96291,x96293))),f331(x96291,f384(x96292,x96291,x96293)))) % 159.04/158.76 [9932]E(f331(f250(f884(x99321,x99322)),f331(f269(x99321,x99322,a871),f331(f331(f7(x99321,f885(x99322,f880(x99322)),f885(x99322,a871)),f331(f331(f8(f885(f880(x99322),a871),f885(f885(x99322,f880(x99322)),f885(x99322,a871)),x99321),f8(f880(x99322),a871,x99322)),f331(f331(f8(f880(x99322),f885(f880(x99322),a871),x99321),a328),f331(f178(x99321,x99322),x99323)))),f236(x99322)))),f331(f172(f884(x99321,x99322)),x99323))+~P104(f331(f136(x99321),f331(f331(f153(f884(x99321,x99322),x99321),f264(x99321,x99322)),x99323))) % 159.04/158.76 [5633]~P65(x56331)+E(f331(f331(f22(x56331),f331(f331(f80(x56331),x56332),x56333)),x56333),x56332) % 159.04/158.76 [5634]~P65(x56341)+E(f331(f331(f80(x56341),f331(f331(f22(x56341),x56342),x56343)),x56343),x56342) % 159.04/158.76 [5855]~P65(x58551)+E(f331(f331(f80(x58551),x58552),f331(f331(f80(x58551),f331(f79(x58551),x58552)),x58553)),x58553) % 159.04/158.76 [5940]~P79(x59401)+E(f331(f331(f81(x59401),f331(f331(f255(x59401),x59402),x59403)),x59402),f331(f331(f255(x59401),x59402),f331(a116,x59403))) % 159.04/158.76 [5941]~P114(x59411)+E(f331(f331(f81(x59411),f331(f331(f255(x59411),x59412),x59413)),x59412),f331(f331(f255(x59411),x59412),f331(a116,x59413))) % 159.04/158.76 [6153]~P119(x61531)+E(f331(f75(x61531),f331(f331(f255(x61531),f331(f79(x61531),x61532)),x61533)),f331(f75(x61531),f331(f331(f255(x61531),x61532),x61533))) % 159.04/158.76 [6209]~P79(x62091)+E(f331(f331(f81(x62091),f331(f331(f255(x62091),x62092),x62093)),x62092),f331(f331(f81(x62091),x62092),f331(f331(f255(x62091),x62092),x62093))) % 159.04/158.76 [6265]E(f331(f331(f22(a103),f331(f331(f80(a103),x62651),x62652)),x62653),f280(x62651,x62652,x62653))+~P104(f331(f331(f245(a103),x62652),x62653)) % 159.04/158.76 [6286]~E(f331(f331(f137(x62861),x62863),x62862),f117(x62861))+P104(f331(f331(f244(a876),f331(f195(f877(x62861)),x62862)),x62863)) % 159.04/158.76 [6418]E(f331(f331(f81(a876),f331(f107(a876),x64181)),f331(f331(f81(a876),f331(f107(a876),x64182)),x64183)),f2(a876))+~P104(f331(f331(f245(a1),x64181),a83)) % 159.04/158.76 [6434]~P59(x64341)+E(f331(f331(f255(x64341),f331(f331(f288(x64341),f78(x64341)),x64342)),x64343),f331(f331(f288(x64341),f78(x64341)),f331(f331(f255(x64341),x64342),x64343))) % 159.04/158.76 [6511]E(f331(f331(f22(a876),f331(f331(f80(a876),x65111),x65112)),x65113),f331(f331(f22(a876),x65111),f331(f331(f22(a876),x65113),x65112)))+~P104(f331(f331(f244(a876),x65112),x65113)) % 159.04/158.76 [6513]E(f331(f331(f22(a876),f331(f331(f80(a876),x65131),x65132)),x65133),f331(f331(f80(a876),x65131),f331(f331(f22(a876),x65132),x65133)))+~P104(f331(f331(f244(a876),x65133),x65132)) % 159.04/158.76 [6548]~P75(x65481)+P104(f331(f331(f244(x65481),f331(f331(f105(x65481),x65482),x65483)),x65483)) % 159.04/158.76 [6549]~P100(x65491)+P104(f331(f331(f244(x65491),f331(f331(f105(x65491),x65492),x65493)),x65493)) % 159.04/158.76 [6550]~P75(x65501)+P104(f331(f331(f244(x65501),f331(f331(f105(x65501),x65502),x65503)),x65502)) % 159.04/158.76 [6551]~P100(x65511)+P104(f331(f331(f244(x65511),f331(f331(f105(x65511),x65512),x65513)),x65512)) % 159.04/158.76 [6552]~P107(x65521)+P104(f331(f331(f244(x65521),f331(f331(f242(x65521),x65522),x65523)),x65523)) % 159.04/158.76 [6553]~P107(x65531)+P104(f331(f331(f244(x65531),f331(f331(f242(x65531),x65532),x65533)),x65532)) % 159.04/158.76 [6567]E(f331(f331(f39(a1),f331(f331(f39(a1),x65671),x65672)),x65673),f331(f331(f39(a1),x65671),f331(f331(f81(a1),x65672),x65673)))+~P104(f331(f331(f245(a1),f2(a1)),x65673)) % 159.04/158.76 [6619]~P114(x66191)+E(f331(f331(f80(x66191),f331(f331(f81(x66191),x66192),x66193)),x66193),f331(f331(f81(x66191),f331(f331(f80(x66191),x66192),f78(x66191))),x66193)) % 159.04/158.76 [6620]~P92(x66201)+E(f331(f331(f81(x66201),f331(f79(x66201),f331(f107(x66201),x66202))),x66203),f331(f331(f81(x66201),f331(f107(x66201),f331(f79(a1),x66202))),x66203)) % 159.04/158.76 [6693]~P80(x66931)+E(f331(f165(x66931),f331(f331(f153(x66932,x66931),f331(f16(x66931,x66932),f2(x66931))),x66933)),f2(x66931)) % 159.04/158.76 [6709]E(f331(f331(f80(a876),f331(f107(a876),x67091)),f331(f331(f80(a876),f331(f107(a876),x67092)),x67093)),f331(f331(f80(a876),f331(f107(a876),x67092)),x67093))+~P104(f331(a200,f331(f107(a1),x67091))) % 159.04/158.76 [6723]~P28(x67231)+E(f40(x67231,f331(f331(f308(x67231),x67232),f331(f331(f308(x67231),x67233),f194(f885(x67231,a871))))),f331(f331(f114(x67231),x67232),x67233)) % 159.04/158.76 [6724]~P28(x67241)+E(f41(x67241,f331(f331(f308(x67241),x67242),f331(f331(f308(x67241),x67243),f194(f885(x67241,a871))))),f331(f331(f105(x67241),x67242),x67243)) % 159.04/158.76 [6747]E(f331(f331(f175(x67471),x67472),x67473),x67473)+~P104(f331(f331(f244(a876),f331(f195(f877(x67471)),x67473)),x67472)) % 159.04/158.76 [6760]E(f331(f331(f137(x67601),x67602),x67603),f117(x67601))+~P104(f331(f331(f244(a876),f331(f195(f877(x67601)),x67603)),x67602)) % 159.04/158.76 [6771]E(f331(f331(f80(a876),f331(f331(f22(a876),x67711),x67712)),x67713),f331(f331(f22(a876),f331(f331(f80(a876),x67711),x67713)),x67712))+~P104(f331(f331(f244(a876),x67712),x67711)) % 159.04/158.76 [6785]~P104(f331(f331(f245(a876),x67851),x67853))+P104(f331(f331(f245(a876),f331(f331(f22(a876),x67851),x67852)),x67853)) % 159.04/158.76 [6813]~P107(x68131)+E(f170(x68131,x68132,f331(f331(f147(x68131,x68131,f5(x68131)),x68132),x68133)),x68133) % 159.04/158.76 [6901]E(f331(f331(f22(a876),f331(f331(f80(a876),x69011),x69012)),f331(a116,x69013)),f331(f331(f22(a876),x69011),f331(a116,f331(f331(f22(a876),x69013),x69012))))+~P104(f331(f331(f244(a876),x69012),x69013)) % 159.04/158.76 [6902]~P119(x69021)+P104(f331(f331(f244(x69021),f2(x69021)),f331(f331(f255(x69021),f331(f75(x69021),x69022)),x69023))) % 159.04/158.76 [6949]P20(x69491,x69492,x69493)+~P104(f331(f331(f244(f885(f875(x69491),a871)),x69493),x69492)) % 159.04/158.76 [6992]~P104(f331(f62(x69921),x69922))+P104(f331(f62(x69921),f331(f331(f22(f885(x69921,a871)),x69922),x69923))) % 159.04/158.76 [6993]~P104(f331(f62(x69931),x69933))+P104(f331(f62(x69931),f331(f331(f105(f885(x69931,a871)),x69932),x69933))) % 159.04/158.76 [6994]~P104(f331(f62(x69941),x69942))+P104(f331(f62(x69941),f331(f331(f105(f885(x69941,a871)),x69942),x69943))) % 159.04/158.76 [7135]~P39(x71351,x71353)+P39(x71351,f331(f331(f105(f885(f884(x71351,x71351),a871)),x71352),x71353)) % 159.04/158.76 [7136]~P39(x71361,x71362)+P39(x71361,f331(f331(f105(f885(f884(x71361,x71361),a871)),x71362),x71363)) % 159.04/158.76 [7251]~P75(x72511)+E(f11(x72511,f331(f172(x72511),f331(f331(f150(x72511),x72512),x72513))),f331(f141(x72511,x72511,f105(x72511),x72512),x72513)) % 159.04/158.76 [7252]~P75(x72521)+E(f10(x72521,f331(f172(x72521),f331(f331(f150(x72521),x72522),x72523))),f331(f141(x72521,x72521,f114(x72521),x72522),x72523)) % 159.04/158.76 [7253]~P107(x72531)+E(f14(x72531,f331(f172(x72531),f331(f331(f150(x72531),x72532),x72533))),f331(f141(x72531,x72531,f242(x72531),x72532),x72533)) % 159.04/158.76 [7254]~P107(x72541)+E(f15(x72541,f331(f172(x72541),f331(f331(f150(x72541),x72542),x72543))),f331(f141(x72541,x72541,f243(x72541),x72542),x72543)) % 159.04/158.76 [7314]~P104(f331(f62(x73141),x73142))+P104(f331(f331(f244(a876),f331(f38(x73141),x73142)),f331(f38(x73141),f331(f331(f308(x73141),x73143),x73142)))) % 159.04/158.76 [7322]E(f331(f331(f114(f885(a876,a871)),f331(f300(a876,x73221),x73222)),f331(f300(a876,x73222),f331(f331(f80(a876),x73222),x73223))),f331(f300(a876,x73221),f331(f331(f80(a876),x73222),x73223)))+~P104(f331(f331(f244(a876),x73221),x73222)) % 159.04/158.76 [7332]P104(f331(f331(f244(a876),x73321),x73322))+~P104(f331(f331(f244(a876),f331(f331(f80(a876),x73323),x73321)),x73322)) % 159.04/158.76 [7333]P104(f331(f331(f244(a876),x73331),x73332))+~P104(f331(f331(f244(a876),f331(f331(f80(a876),x73331),x73333)),x73332)) % 159.04/158.76 [7334]P104(f331(f331(f245(a876),x73341),x73342))+~P104(f331(f331(f245(a876),f331(f331(f80(a876),x73341),x73343)),x73342)) % 159.04/158.76 [7376]~P107(x73761)+E(f12(x73761,f242(x73761),f331(f172(x73761),f331(f331(f150(x73761),x73762),x73763))),f331(f141(x73761,x73761,f242(x73761),x73762),x73763)) % 159.04/158.76 [7377]~P107(x73771)+E(f13(x73771,f243(x73771),f331(f172(x73771),f331(f331(f150(x73771),x73772),x73773))),f331(f141(x73771,x73771,f243(x73771),x73772),x73773)) % 159.04/158.76 [7381]~E(x73812,f194(f885(f884(x73811,x73811),a871)))+P104(f331(f331(f244(f885(f884(x73811,x73811),a871)),x73812),x73813)) % 159.04/158.76 [7491]E(f331(f331(f114(f885(x74911,a871)),x74912),f331(f331(f22(f885(x74911,a871)),x74913),x74912)),x74913)+~P104(f331(f331(f244(f885(x74911,a871)),x74912),x74913)) % 159.04/158.76 [7492]~P104(f331(f331(f244(a876),x74921),f331(f331(f80(a876),x74923),x74922)))+P104(f331(f331(f244(a876),f331(f331(f22(a876),x74921),x74922)),x74923)) % 159.04/158.76 [7493]~P104(f331(f331(f245(a876),x74931),f331(f331(f22(a876),x74933),x74932)))+P104(f331(f331(f245(a876),f331(f331(f80(a876),x74931),x74932)),x74933)) % 159.04/158.76 [7549]E(x75491,f117(x75492))+E(f331(f140(x75492),f331(f331(f331(f189(f877(x75492),f877(x75492)),x75493),f167(x75492)),x75491)),f331(f331(f164(x75492),x75491),f45(a876,x75493,f331(f195(f877(x75492)),x75491)))) % 159.04/158.76 [7558]E(f331(f331(f308(x75581),x75582),f331(f331(f22(f885(x75581,a871)),x75583),f331(f331(f308(x75581),x75582),f194(f885(x75581,a871))))),x75583)+~P104(f331(f331(f333(x75581),x75582),x75583)) % 159.04/158.76 [7719]P104(f331(f331(f244(a876),x77191),f331(f331(f80(a876),x77192),x77193)))+~P104(f331(f331(f244(a876),f331(f331(f22(a876),x77191),x77193)),x77192)) % 159.04/158.76 [7720]P104(f331(f331(f245(a876),x77201),f331(f331(f22(a876),x77202),x77203)))+~P104(f331(f331(f245(a876),f331(f331(f80(a876),x77201),x77203)),x77202)) % 159.04/158.76 [7742]P104(f331(f62(x77421),x77422))+~P104(f331(f62(x77421),f331(f331(f114(f885(x77421,a871)),x77423),x77422))) % 159.04/158.76 [7743]P104(f331(f62(x77431),x77432))+~P104(f331(f62(x77431),f331(f331(f114(f885(x77431,a871)),x77432),x77433))) % 159.04/158.76 [7818]~P46(x78181,x78183)+P104(f331(f331(f333(f884(x78181,x78181)),f331(f331(f265(x78181,x78181),x78182),x78182)),x78183)) % 159.04/158.76 [7951]E(f331(f331(f164(a876),f138(a876,f331(f300(a876,x79511),x79512))),x79513),f331(f331(f80(a876),x79511),x79513))+~P104(f331(f331(f245(a876),f331(f331(f80(a876),x79511),x79513)),x79512)) % 159.04/158.76 [8019]~P104(f331(f331(f201(f331(a28,x80191)),x80192),x80193))+P104(f331(f331(f201(f331(f241(a873),f331(a26,x80191))),x80192),x80193)) % 159.04/158.76 [8024]E(f331(f331(f175(a876),x80241),f138(a876,f331(f300(a876,x80242),x80243))),f138(a876,f331(f300(a876,x80242),f331(f331(f80(a876),x80242),x80241))))+~P104(f331(f331(f244(a876),f331(f331(f80(a876),x80242),x80241)),x80243)) % 159.04/158.76 [8077]~P92(x80771)+E(f331(f331(f255(x80771),x80772),f331(f107(a876),f331(f331(f80(a1),x80773),x80773))),f331(f331(f86(x80771,x80771),f331(f331(f255(x80771),x80772),f331(f107(a876),x80773))),f331(f331(f18(x80771,x80771,x80771),f81(x80771)),f5(x80771)))) % 159.04/158.76 [8286]P104(f331(f331(f201(f331(a28,x82861)),x82862),x82863))+~P104(f331(f331(f201(f331(f241(a873),f331(a26,x82861))),x82862),x82863)) % 159.04/158.76 [8346]E(f331(f331(f126(x83461),f331(f331(f175(x83461),x83462),x83463)),f331(f331(f150(x83461),f331(f331(f164(x83461),x83463),x83462)),f331(f331(f137(x83461),f331(a116,x83462)),x83463))),x83463)+~P104(f331(f331(f245(a876),x83462),f331(f195(f877(x83461)),x83463))) % 159.04/158.76 [8353]P104(f331(f331(f244(f885(x83531,a871)),f319(x83531,x83532)),f319(x83531,x83533)))+~P104(f331(f331(f244(f885(x83531,f885(x83531,a871))),x83533),x83532)) % 159.04/158.76 [8355]~P53(x83551,x83552,x83553)+P53(x83551,x83552,f331(f331(f22(f885(f884(x83551,x83551),a871)),x83553),f306(x83551,f194(f885(f884(x83551,x83551),a871))))) % 159.04/158.76 [8372]P104(f331(f331(f244(f885(x83721,a871)),f320(x83721,x83722)),f320(x83721,x83723)))+~P104(f331(f331(f244(f885(f884(x83721,x83721),a871)),x83723),x83722)) % 159.04/158.76 [8379]~P123(x83791)+P104(f331(f331(f244(x83791),f2(x83791)),f331(f331(f80(x83791),f331(f331(f81(x83791),x83792),x83792)),f331(f331(f81(x83791),x83793),x83793)))) % 159.04/158.76 [8415]P104(f331(f331(f244(f885(x84151,a871)),f331(f283(x84151),x84152)),f331(f283(x84151),x84153)))+~P104(f331(f331(f244(f885(f884(x84151,x84151),a871)),x84152),x84153)) % 159.04/158.76 [8448]~P50(x84481,x84482)+~P104(f331(f331(f333(f884(x84481,x84481)),f331(f331(f265(x84481,x84481),x84483),x84483)),x84482)) % 159.04/158.76 [8450]~P39(x84501,x84502)+~P104(f331(f331(f333(f884(x84501,x84501)),f331(f331(f265(x84501,x84501),x84503),x84503)),x84502)) % 159.04/158.76 [8512]P104(f331(f331(f244(f885(x85121,a871)),f40(f885(x85121,a871),x85122)),f40(f885(x85121,a871),x85123)))+~P104(f331(f331(f244(f885(f885(x85121,a871),a871)),x85122),x85123)) % 159.04/158.76 [8513]P104(f331(f331(f244(f885(x85131,a871)),f41(f885(x85131,a871),x85132)),f41(f885(x85131,a871),x85133)))+~P104(f331(f331(f244(f885(f885(x85131,a871),a871)),x85133),x85132)) % 159.04/158.76 [8565]~P3(x85651,x85653,x85652)+P104(f331(f331(f244(f885(f884(x85651,x85651),a871)),x85652),f331(f331(f267(x85651,x85651),x85653),f331(f16(f885(x85651,a871),x85651),x85653)))) % 159.04/158.76 [8566]~P49(x85661,x85663,x85662)+P104(f331(f331(f244(f885(f884(x85661,x85661),a871)),x85662),f331(f331(f267(x85661,x85661),x85663),f331(f16(f885(x85661,a871),x85661),x85663)))) % 159.04/158.76 [8612]~P86(x86121)+P104(f331(f331(f244(x86121),f331(f331(f22(x86121),f331(f75(x86121),x86122)),f331(f75(x86121),x86123))),f331(f75(x86121),f331(f331(f22(x86121),x86123),x86122)))) % 159.04/158.76 [8613]~P86(x86131)+P104(f331(f331(f244(x86131),f331(f331(f22(x86131),f331(f75(x86131),x86132)),f331(f75(x86131),x86133))),f331(f75(x86131),f331(f331(f22(x86131),x86132),x86133)))) % 159.04/158.76 [8643]P104(f331(f331(f244(f885(f884(x86431,x86431),a871)),f306(x86431,x86432)),f306(x86431,x86433)))+~P104(f331(f331(f244(f885(f884(x86431,x86431),a871)),x86432),x86433)) % 159.04/158.76 [8798]P53(x87981,x87982,x87983)+~P53(x87981,x87982,f331(f331(f22(f885(f884(x87981,x87981),a871)),x87983),f306(x87981,f194(f885(f884(x87981,x87981),a871))))) % 159.04/158.76 [8817]P104(f331(f331(f244(f885(f884(f877(x88171),f877(x88171)),a871)),f157(x88171,x88172)),f157(x88171,x88173)))+~P104(f331(f331(f244(f885(f884(x88171,x88171),a871)),x88172),x88173)) % 159.04/158.76 [8818]P104(f331(f331(f244(f885(f884(f877(x88181),f877(x88181)),a871)),f156(x88181,x88182)),f156(x88181,x88183)))+~P104(f331(f331(f244(f885(f884(x88181,x88181),a871)),x88182),x88183)) % 159.04/158.76 [8837]~P49(x88371,x88373,x88372)+P104(f331(f331(f244(f885(f884(x88371,x88371),a871)),x88372),f331(f331(f287(x88371,x88371,x88371),f331(f285(x88371,x88371),x88372)),x88372))) % 159.04/158.76 [8886]~P104(f331(f136(x88861),x88862))+E(f331(f135(x88861,f331(f331(f7(x88861,f885(x88861,a871),a871),f333(x88861)),f331(f172(x88861),f176(x88861,x88862,x88863)))),x88862),f176(x88861,x88862,x88863)) % 159.04/158.76 [8949]E(x89491,x89492)+~P104(f331(f331(f333(f884(x89493,x89493)),f331(f331(f265(x89493,x89493),x89491),x89492)),f306(x89493,f194(f885(f884(x89493,x89493),a871))))) % 159.04/158.76 [9034]P104(f331(f331(f333(x90341),x90342),f320(x90341,x90343)))+P104(f331(f331(f333(f884(x90341,x90341)),f331(f331(f265(x90341,x90341),f667(x90343,x90342,x90341)),x90342)),x90343)) % 159.04/158.76 [9035]P104(f331(f331(f333(x90351),x90352),f320(x90351,x90353)))+P104(f331(f331(f333(f884(x90351,x90351)),f331(f331(f265(x90351,x90351),f728(x90353,x90352,x90351)),x90352)),x90353)) % 159.04/158.76 [9036]P104(f331(f331(f333(x90361),x90362),f320(x90361,x90363)))+P104(f331(f331(f333(f884(x90361,x90361)),f331(f331(f265(x90361,x90361),f737(x90363,x90362,x90361)),x90362)),x90363)) % 159.04/158.76 [9122]~P104(f331(f331(f333(f877(x91221)),x91223),f160(x91221,x91222)))+P104(f331(f159(x91221,f331(f331(f7(x91221,f885(x91221,a871),a871),f333(x91221)),x91222)),x91223)) % 159.04/158.76 [9143]P104(f331(x91433,x91432))+E(f331(f250(x91431),f331(f331(f18(x91431,a871,a871),f331(f331(f8(a871,f885(a871,a871),x91431),a329),f331(a328,x91432))),x91433)),f194(f885(x91431,a871))) % 159.04/158.76 [9164]~P86(x91641)+P104(f331(f331(f244(x91641),f331(f75(x91641),f331(f331(f22(x91641),f331(f75(x91641),x91642)),f331(f75(x91641),x91643)))),f331(f75(x91641),f331(f331(f22(x91641),x91642),x91643)))) % 159.04/158.76 [9178]~P104(f331(x91783,x91782))+E(f331(f250(x91781),f331(f331(f18(x91781,a871,a871),f331(f331(f8(a871,f885(a871,a871),x91781),a329),f331(a328,x91782))),x91783)),f331(f331(f308(x91781),x91782),f194(f885(x91781,a871)))) % 159.04/158.76 [9185]~P104(f331(f331(f333(f885(x91851,a871)),x91853),f331(f307(x91851),x91852)))+P104(f331(f258(x91851,f331(f331(f7(x91851,f885(x91851,a871),a871),f333(x91851)),x91852)),x91853)) % 159.04/158.76 [9218]P39(x92181,x92182)+P104(f331(f331(f333(f884(x92181,x92181)),f331(f331(f265(x92181,x92181),f331(f687(x92182,x92181),f331(a116,x92183))),f331(f687(x92182,x92181),x92183))),x92182)) % 159.04/158.76 [9361]P104(f331(f331(f333(f877(x93611)),x93612),f160(x93611,x93613)))+~P104(f331(f159(x93611,f331(f331(f7(x93611,f885(x93611,a871),a871),f333(x93611)),x93613)),x93612)) % 159.04/158.76 [9374]P104(f331(f331(f333(f885(x93741,a871)),x93742),f331(f307(x93741),x93743)))+~P104(f331(f258(x93741,f331(f331(f7(x93741,f885(x93741,a871),a871),f333(x93741)),x93743)),x93742)) % 159.04/158.76 [9431]P104(f331(f331(f333(x94311),f331(f276(x94311,x94312),x94313)),f331(f172(x94311),f331(f331(f153(f884(a103,x94311),x94311),f268(a103,x94311)),x94312))))+~P104(f331(f331(f245(a103),x94313),f331(f165(a103),f331(f331(f153(f884(a103,x94311),a103),f264(a103,x94311)),x94312)))) % 159.04/158.76 [9479]P104(f331(f331(f244(f885(f884(f877(x94791),f877(x94791)),a871)),f157(x94791,x94792)),f331(f331(f267(f877(x94791),f877(x94791)),f160(x94791,x94793)),f331(f16(f885(f877(x94791),a871),f877(x94791)),f160(x94791,x94793)))))+~P104(f331(f331(f244(f885(f884(x94791,x94791),a871)),x94792),f331(f331(f267(x94791,x94791),x94793),f331(f16(f885(x94791,a871),x94791),x94793)))) % 159.04/158.76 [9500]P104(f331(f331(f333(x95001),f331(f264(x95001,f884(a103,a103)),f331(f274(x95001,x95002),x95003))),f331(f172(x95001),f331(f331(f153(f884(a103,x95001),x95001),f268(a103,x95001)),x95002))))+~P104(f331(f331(f245(a103),f2(a103)),f331(f165(a103),f331(f331(f153(f884(a103,x95001),a103),f264(a103,x95001)),x95002)))) % 159.04/158.76 [9517]~P104(f331(f331(f244(f885(f884(x95171,x95171),a871)),x95172),f331(f331(f267(x95171,x95171),x95173),f331(f16(f885(x95171,a871),x95171),x95173))))+P104(f331(f331(f244(f885(f884(x95171,x95171),a871)),f331(f331(f287(x95171,x95171,x95171),x95172),f306(x95171,x95172))),f331(f331(f267(x95171,x95171),x95173),f331(f16(f885(x95171,a871),x95171),x95173)))) % 159.04/158.76 [9819]~P39(x98191,x98192)+~P104(f331(f331(f333(f884(x98191,x98191)),f331(f331(f265(x98191,x98191),f331(x98193,f331(a116,f689(x98192,x98191,x98193)))),f331(x98193,f689(x98192,x98191,x98193)))),x98192)) % 159.04/158.76 [9820]~P39(x98201,x98202)+~P104(f331(f331(f333(f884(x98201,x98201)),f331(f331(f265(x98201,x98201),f331(x98203,f331(a116,f744(x98203,x98202,x98201)))),f331(x98203,f744(x98203,x98202,x98201)))),x98202)) % 159.04/158.76 [10073]P104(f331(f331(f244(f885(f884(f885(x100731,a871),f885(x100731,a871)),a871)),f331(f331(f287(f885(x100731,a871),f885(x100731,a871),f885(x100731,a871)),f322(x100731,x100732)),f331(f331(f114(f885(f884(f885(x100731,a871),f885(x100731,a871)),a871)),f322(x100731,x100733)),f331(f331(f308(f884(f885(x100731,a871),f885(x100731,a871))),f331(f331(f265(f885(x100731,a871),f885(x100731,a871)),f194(f885(x100731,a871))),f194(f885(x100731,a871)))),f194(f885(f884(f885(x100731,a871),f885(x100731,a871)),a871)))))),f322(x100731,x100732)))+~P104(f331(f331(f244(f885(f884(x100731,x100731),a871)),f331(f331(f287(x100731,x100731,x100731),x100732),x100733)),x100732)) % 159.04/158.76 [10074]P104(f331(f331(f244(f885(f884(f885(x100741,a871),f885(x100741,a871)),a871)),f331(f331(f287(f885(x100741,a871),f885(x100741,a871),f885(x100741,a871)),f323(x100741,x100742)),f331(f331(f114(f885(f884(f885(x100741,a871),f885(x100741,a871)),a871)),f323(x100741,x100743)),f331(f331(f308(f884(f885(x100741,a871),f885(x100741,a871))),f331(f331(f265(f885(x100741,a871),f885(x100741,a871)),f194(f885(x100741,a871))),f194(f885(x100741,a871)))),f194(f885(f884(f885(x100741,a871),f885(x100741,a871)),a871)))))),f323(x100741,x100742)))+~P104(f331(f331(f244(f885(f884(x100741,x100741),a871)),f331(f331(f287(x100741,x100741,x100741),x100742),x100743)),x100742)) % 159.04/158.76 [7250]~P104(f331(f331(f244(a876),x72502),x72501))+E(f331(f331(f22(a876),f331(a116,f331(f331(f22(a876),x72501),x72502))),x72503),f331(f331(f22(a876),f331(a116,x72501)),f331(f331(f80(a876),x72502),x72503))) % 159.04/158.76 [7289]~P26(x72891)+E(f331(f331(f80(x72891),f45(x72891,x72892,x72893)),f331(f331(f81(x72891),f331(f331(f39(x72891),x72892),x72893)),x72893)),x72892) % 159.04/158.76 [7497]E(f331(f331(f81(a876),f331(f107(a876),x74971)),f331(f331(f81(a876),f331(f107(a876),x74972)),x74973)),f331(f331(f81(a876),f331(f107(a876),f331(f331(f81(a1),x74971),x74972))),x74973))+P104(f331(f331(f245(a1),x74971),a83)) % 159.04/158.76 [7960]~P104(f331(f331(f244(a876),x79603),x79602))+P104(f331(f331(f244(a876),x79601),f331(f331(f22(a876),f331(f331(f80(a876),x79602),x79601)),x79603))) % 159.04/158.76 [8166]~P104(f331(f331(f244(a876),x81661),x81662))+E(f331(f331(f126(a876),f138(a876,f331(f300(a876,x81661),x81662))),f138(a876,f331(f300(a876,x81662),f331(f331(f80(a876),x81662),x81663)))),f138(a876,f331(f300(a876,x81661),f331(f331(f80(a876),x81662),x81663)))) % 159.04/158.76 [8424]~P104(f331(f62(x84241),x84242))+E(f331(a116,f331(f38(x84241),f331(f331(f22(f885(x84241,a871)),x84242),f331(f331(f308(x84241),x84243),f194(f885(x84241,a871)))))),f331(f38(x84241),f331(f331(f308(x84241),x84243),x84242))) % 159.04/158.76 [8472]~P104(f331(f62(x84721),x84722))+E(f331(f331(f80(a876),f78(a876)),f331(f38(x84721),f331(f331(f22(f885(x84721,a871)),x84722),f331(f331(f308(x84721),x84723),f194(f885(x84721,a871)))))),f331(f38(x84721),f331(f331(f308(x84721),x84723),x84722))) % 159.04/158.76 [8652]E(f331(f331(f22(a876),f331(f38(x86521),x86522)),f331(f38(x86521),f331(f331(f105(f885(x86521,a871)),x86522),x86523))),f331(f38(x86521),f331(f331(f22(f885(x86521,a871)),x86522),x86523)))+~P104(f331(f62(x86521),f331(f331(f105(f885(x86521,a871)),x86522),x86523))) % 159.04/158.76 [8882]~P29(f331(x88822,f379(x88822,x88823,x88821)))+E(f331(f104(a1),f331(f331(f6(x88821,a876),f331(f331(f8(a1,a876,x88821),a108),x88822)),x88823)),f331(f331(f6(x88821,a1),x88822),x88823)) % 159.04/158.76 [8883]~P29(f331(x88832,f380(x88832,x88833,x88831)))+E(f331(f104(a1),f331(f331(f9(x88831,a876),f331(f331(f8(a1,a876,x88831),a108),x88832)),x88833)),f331(f331(f9(x88831,a1),x88832),x88833)) % 159.04/158.76 [8931]~P104(f331(f62(x89311),x89313))+P104(f331(f331(f244(a876),f331(f331(f22(a876),f331(f38(x89311),x89312)),f331(f38(x89311),x89313))),f331(f38(x89311),f331(f331(f22(f885(x89311,a871)),x89312),x89313)))) % 159.04/158.76 [8957]P104(f331(f331(f333(x89571),f379(x89572,x89573,x89571)),x89573))+E(f331(f104(a1),f331(f331(f6(x89571,a876),f331(f331(f8(a1,a876,x89571),a108),x89572)),x89573)),f331(f331(f6(x89571,a1),x89572),x89573)) % 159.04/158.76 [8958]P104(f331(f331(f333(x89581),f380(x89582,x89583,x89581)),x89583))+E(f331(f104(a1),f331(f331(f9(x89581,a876),f331(f331(f8(a1,a876,x89581),a108),x89582)),x89583)),f331(f331(f9(x89581,a1),x89582),x89583)) % 159.04/158.76 [9026]E(f85(x90261,f331(f331(f7(x90261,f885(x90261,a871),a871),f333(x90261)),f331(f331(f22(f885(x90261,a871)),x90262),f331(f331(f308(x90261),x90263),f194(f885(x90261,a871)))))),f257(x90261,x90263,x90262))+P104(f331(f331(f244(f885(x90261,a871)),x90262),f331(f331(f308(x90261),x90263),f194(f885(x90261,a871))))) % 159.04/158.76 [9375]E(f331(f331(f153(f877(x93751),x93751),f331(f331(f7(f877(x93751),a876,x93751),f164(x93751)),x93752)),f331(f135(f877(x93751),f331(f331(f8(a876,a871,f877(x93751)),f331(f245(a876),x93752)),f195(f877(x93751)))),x93753)),f331(f331(f164(f877(x93751)),f180(x93751,x93753)),x93752))+~P104(f331(f331(f245(a876),x93752),f331(f195(f877(f877(x93751))),f180(x93751,x93753)))) % 159.04/158.76 [9448]E(f331(f135(x94481,x94482),x94483),f177(x94481,x94482,x94483))+P104(f331(f331(f333(x94481),f649(x94483,x94482,x94481)),f331(f172(x94481),f331(f331(f137(x94481),f331(f195(f877(x94481)),f177(x94481,x94482,x94483))),x94483)))) % 159.04/158.76 [9588]E(f331(f331(f137(x95881),f331(f195(f877(x95881)),f177(x95881,x95882,x95883))),x95883),f117(x95881))+~P104(f331(x95882,f331(f140(x95881),f331(f331(f137(x95881),f331(f195(f877(x95881)),f177(x95881,x95882,x95883))),x95883)))) % 159.04/158.76 [9681]~P104(f331(f331(f333(f884(x96811,x96811)),x96812),f306(x96811,x96813)))+P104(f331(f331(f333(f884(x96811,x96811)),x96812),f331(f331(f42(a876,f885(f884(x96811,x96811),a871)),f253(f885(a876,a871))),f331(f331(f7(a876,f885(f884(x96811,x96811),a871),f885(f884(x96811,x96811),a871)),f189(f884(x96811,x96811),a871)),x96813)))) % 159.04/158.76 [9737]~P104(f331(f331(f244(f885(x97371,a871)),f331(f331(f42(a876,f885(x97371,a871)),f331(f300(a876,f2(a876)),f500(x97373,x97372,x97371))),x97372)),x97373))+P104(f331(f331(f244(f885(x97371,a871)),f331(f331(f42(a876,f885(x97371,a871)),f253(f885(a876,a871))),x97372)),x97373)) % 159.04/158.76 [9795]~P104(f331(f331(f245(a1),f2(a1)),x97953))+P104(f331(f331(f245(a1),x97951),f331(f331(f80(a1),x97952),f331(f331(f81(a1),f331(f331(f80(a1),f331(f75(a1),f331(f331(f22(a1),x97952),x97951))),f78(a1))),x97953)))) % 159.04/158.76 [9806]~P39(x98061,f331(f331(f114(f885(f884(x98061,x98061),a871)),x98062),x98063))+P39(x98061,f331(f331(f114(f885(f884(x98061,x98061),a871)),f331(f331(f114(f885(f884(x98061,x98061),a871)),f331(f331(f287(x98061,x98061,x98061),x98062),x98062)),f331(f331(f287(x98061,x98061,x98061),x98063),x98062))),x98063)) % 159.04/158.76 [9888]P39(x98881,f331(f331(f114(f885(f884(x98881,x98881),a871)),x98882),x98883))+~P39(x98881,f331(f331(f114(f885(f884(x98881,x98881),a871)),f331(f331(f114(f885(f884(x98881,x98881),a871)),f331(f331(f287(x98881,x98881,x98881),x98882),x98882)),f331(f331(f287(x98881,x98881,x98881),x98883),x98882))),x98883)) % 159.04/158.76 [9452]~P138(x94521)+E(f331(f106(x94521),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x94522),x94523)),f194(f885(f884(a876,a876),a871)))))),f331(f331(f22(x94521),f331(f104(x94521),x94522)),f331(f104(x94521),x94523))) % 159.04/158.76 [9535]P104(f331(x95353,x95352))+E(f331(f250(x95351),f331(f331(f18(x95351,a871,a871),f331(f331(f8(a871,f885(a871,a871),x95351),a329),f331(f331(f7(x95351,x95351,a871),a328),x95352))),x95353)),f194(f885(x95351,a871))) % 159.04/158.76 [9537]~P104(f331(x95373,x95372))+E(f331(f250(x95371),f331(f331(f18(x95371,a871,a871),f331(f331(f8(a871,f885(a871,a871),x95371),a329),f331(f331(f7(x95371,x95371,a871),a328),x95372))),x95373)),f331(f331(f308(x95371),x95372),f194(f885(x95371,a871)))) % 159.04/158.76 [9773]E(x97731,x97732)+P104(f331(f331(f254(x97733,x97733,f331(f331(f8(f885(x97733,a871),f885(x97733,a871),x97733),f331(f8(a871,a871,x97733),a326)),a328)),x97731),x97732)) % 159.04/158.76 [9866]~E(x98661,x98662)+~P104(f331(f331(f254(x98663,x98663,f331(f331(f8(f885(x98663,a871),f885(x98663,a871),x98663),f331(f8(a871,a871,x98663),a326)),a328)),x98661),x98662)) % 159.04/158.76 [9880]~P104(f331(f62(x98801),x98803))+E(f331(f331(f65(x98801,f885(x98801,a871),f331(f331(f8(f885(x98801,a871),f885(f885(x98801,a871),f885(x98801,a871)),x98801),f331(f7(f885(x98801,a871),f885(x98801,a871),f885(x98801,a871)),f22(f885(x98801,a871)))),f331(f331(f7(x98801,f885(x98801,a871),f885(x98801,a871)),f308(x98801)),f194(f885(x98801,a871))))),x98802),x98803),f331(f331(f22(f885(x98801,a871)),x98802),x98803)) % 159.04/158.76 [9912]~P104(f331(f331(f245(a1),f2(a1)),x99123))+P104(f331(f331(f245(a1),f331(f331(f22(a1),x99121),f331(f331(f81(a1),f331(f331(f80(a1),f331(f75(a1),f331(f331(f22(a1),x99121),x99122))),f78(a1))),x99123))),x99122)) % 159.04/158.76 [10135]~P104(f331(f331(f333(x101351),x101353),f320(x101351,x101352)))+P104(f331(f319(x101351,f331(f331(f7(x101351,f885(f884(x101351,x101351),a871),f885(x101351,a871)),f331(f331(f8(f885(x101351,f885(f885(f884(x101351,x101351),a871),a871)),f885(f885(f884(x101351,x101351),a871),f885(x101351,a871)),x101351),f7(x101351,f885(f884(x101351,x101351),a871),a871)),f331(f331(f8(f885(x101351,f884(x101351,x101351)),f885(x101351,f885(f885(f884(x101351,x101351),a871),a871)),x101351),f331(f8(f884(x101351,x101351),f885(f885(f884(x101351,x101351),a871),a871),x101351),f333(f884(x101351,x101351)))),f265(x101351,x101351)))),x101352)),x101353)) % 159.04/158.76 [10147]P104(f331(f331(f333(x101471),x101472),f320(x101471,x101473)))+~P104(f331(f319(x101471,f331(f331(f7(x101471,f885(f884(x101471,x101471),a871),f885(x101471,a871)),f331(f331(f8(f885(x101471,f885(f885(f884(x101471,x101471),a871),a871)),f885(f885(f884(x101471,x101471),a871),f885(x101471,a871)),x101471),f7(x101471,f885(f884(x101471,x101471),a871),a871)),f331(f331(f8(f885(x101471,f884(x101471,x101471)),f885(x101471,f885(f885(f884(x101471,x101471),a871),a871)),x101471),f331(f8(f884(x101471,x101471),f885(f885(f884(x101471,x101471),a871),a871),x101471),f333(f884(x101471,x101471)))),f265(x101471,x101471)))),x101473)),x101472)) % 159.04/158.76 [9735]~P104(f331(f62(x97351),f331(f250(x97351),x97353)))+P104(f331(f62(x97351),f331(f250(x97351),f331(f331(f18(x97351,a871,a871),f331(f331(f8(a871,f885(a871,a871),x97351),a329),x97352)),x97353)))) % 159.04/158.76 [9736]~P104(f331(f62(x97361),f331(f250(x97361),x97362)))+P104(f331(f62(x97361),f331(f250(x97361),f331(f331(f18(x97361,a871,a871),f331(f331(f8(a871,f885(a871,a871),x97361),a329),x97362)),x97363)))) % 159.04/158.76 [9838]P104(f331(f62(x98381),f331(f250(x98381),x98382)))+~P104(f331(f62(x98381),f331(f250(x98381),f331(f331(f18(x98381,a871,a871),f331(f331(f8(a871,f885(a871,a871),x98381),a330),x98383)),x98382)))) % 159.04/158.76 [9839]P104(f331(f62(x98391),f331(f250(x98391),x98392)))+~P104(f331(f62(x98391),f331(f250(x98391),f331(f331(f18(x98391,a871,a871),f331(f331(f8(a871,f885(a871,a871),x98391),a330),x98392)),x98393)))) % 159.04/158.76 [10122]~P104(f331(f62(x101221),x101222))+P104(f331(f62(f877(x101221)),f331(f250(f877(x101221)),f331(f331(f18(f877(x101221),a871,a871),f331(f331(f8(a871,f885(a871,a871),f877(x101221)),a329),f331(f331(f7(f877(x101221),f885(x101221,a871),a871),f331(f331(f8(f885(x101221,a871),f885(f885(x101221,a871),a871),f877(x101221)),f244(f885(x101221,a871))),f172(x101221))),x101222))),f331(f331(f7(f877(x101221),a876,a871),f331(f331(f8(a876,f885(a876,a871),f877(x101221)),a328),f195(f877(x101221)))),x101223))))) % 159.04/158.76 [10123]~P104(f331(f62(x101231),x101232))+P104(f331(f62(f877(x101231)),f331(f250(f877(x101231)),f331(f331(f18(f877(x101231),a871,a871),f331(f331(f8(a871,f885(a871,a871),f877(x101231)),a329),f331(f331(f7(f877(x101231),f885(x101231,a871),a871),f331(f331(f8(f885(x101231,a871),f885(f885(x101231,a871),a871),f877(x101231)),f244(f885(x101231,a871))),f172(x101231))),x101232))),f331(f331(f7(f877(x101231),a876,a871),f331(f331(f8(a876,f885(a876,a871),f877(x101231)),f244(a876)),f195(f877(x101231)))),x101233))))) % 159.04/158.76 [9853]~P114(x98531)+E(f331(f331(f255(x98531),x98532),f331(f331(f81(a876),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x98533)),f331(f331(f81(x98531),f331(f331(f255(x98531),x98532),x98533)),f331(f331(f255(x98531),x98532),x98533))) % 159.04/158.76 [9893]~P79(x98931)+E(f331(f331(f255(x98931),f331(f331(f255(x98931),x98932),x98933)),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f255(x98931),x98932),f331(f331(f81(a876),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x98933))) % 159.04/158.76 [9939]~P138(x99391)+E(f331(f331(f255(x99391),f331(f79(x99391),x99392)),f331(f331(f81(a876),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x99393)),f331(f331(f255(x99391),x99392),f331(f331(f81(a876),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x99393))) % 159.04/158.76 [10080]~P119(x100801)+P104(f331(f331(f244(x100801),f2(x100801)),f331(f331(f80(x100801),f331(f331(f255(x100801),x100802),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f255(x100801),x100803),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))))) % 159.04/158.76 [9949]~P114(x99491)+E(f331(f331(f255(x99491),x99492),f331(a116,f331(f331(f81(a876),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x99493))),f331(f331(f81(x99491),x99492),f331(f331(f81(x99491),f331(f331(f255(x99491),x99492),x99493)),f331(f331(f255(x99491),x99492),x99493)))) % 159.04/158.76 [9998]~P79(x99981)+E(f331(f331(f81(x99981),x99982),f331(f331(f255(x99981),f331(f331(f255(x99981),x99982),x99983)),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f255(x99981),x99982),f331(a116,f331(f331(f81(a876),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x99983)))) % 159.04/158.76 [10037]~P119(x100371)+P104(f331(f331(f244(x100371),f2(x100371)),f331(f331(f255(x100371),x100372),f331(f331(f81(a876),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x100373)))) % 159.04/158.76 [10103]~P92(x101031)+E(f331(f331(f22(x101031),f331(f331(f80(x101031),f331(f331(f255(x101031),x101032),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f255(x101031),x101033),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))),f331(f331(f81(x101031),f331(f331(f81(x101031),f331(f107(x101031),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x101032)),x101033)),f331(f331(f255(x101031),f331(f331(f22(x101031),x101032),x101033)),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))) % 159.04/158.76 [10104]~P92(x101041)+E(f331(f331(f80(x101041),f331(f331(f80(x101041),f331(f331(f255(x101041),x101042),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f255(x101041),x101043),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))),f331(f331(f81(x101041),f331(f331(f81(x101041),f331(f107(x101041),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x101042)),x101043)),f331(f331(f255(x101041),f331(f331(f80(x101041),x101042),x101043)),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))) % 159.04/158.76 [10202]~P31(x102021,x102022,x102023)+P104(f99(x102021,a871,f331(f331(f8(f885(a873,f885(f885(x102021,f885(a872,a871)),f885(x102021,a871))),f885(a873,f885(f885(x102021,f885(a872,a871)),a871)),f885(x102021,f885(a872,a871))),f331(f8(f885(f885(x102021,f885(a872,a871)),f885(x102021,a871)),f885(f885(x102021,f885(a872,a871)),a871),a873),f331(f8(f885(x102021,a871),a871,f885(x102021,f885(a872,a871))),f88(x102021)))),f331(f331(f8(f885(a873,f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871)))),f885(a873,f885(f885(x102021,f885(a872,a871)),f885(x102021,a871))),f885(x102021,f885(a872,a871))),f331(f8(f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871))),f885(f885(x102021,f885(a872,a871)),f885(x102021,a871)),a873),f331(f8(f885(x102021,f885(a872,a871)),f885(x102021,a871),f885(x102021,f885(a872,a871))),f331(f8(f885(a872,a871),a871,x102021),f88(a872))))),f331(f331(f7(f885(x102021,f885(a872,a871)),f885(a873,f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871)))),f885(a873,f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871))))),f331(f331(f8(f885(f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871))),f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871)))),f885(f885(a873,f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871)))),f885(a873,f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871))))),f885(x102021,f885(a872,a871))),f8(f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871))),f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871))),a873)),f331(f331(f8(f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871))),f885(f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871))),f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871)))),f885(x102021,f885(a872,a871))),f8(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871)))),f331(f331(f8(f885(x102021,f885(f885(a872,a871),f885(a872,a871))),f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871))),f885(x102021,f885(a872,a871))),f18(x102021,f885(a872,a871),f885(a872,a871))),f331(f331(f8(f885(x102021,f885(a872,f885(a871,a871))),f885(x102021,f885(f885(a872,a871),f885(a872,a871))),f885(x102021,f885(a872,a871))),f331(f8(f885(a872,f885(a871,a871)),f885(f885(a872,a871),f885(a872,a871)),x102021),f18(a872,a871,a871))),f331(f8(f885(a872,a871),f885(a872,f885(a871,a871)),x102021),f331(f8(a871,f885(a871,a871),a872),a334))))))),f331(f331(f8(f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,f885(a872,a871)))),f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871))),a873),f331(f8(f885(x102021,f885(a872,f885(a872,a871))),f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,a871))),f331(f8(f885(a872,f885(a872,a871)),f885(a872,a871),x102021),f331(f8(f885(a872,a871),a871,a872),f88(a872))))),f331(f331(f8(f885(f885(a872,a871),f885(a872,f885(a872,a871))),f885(f885(x102021,f885(a872,a871)),f885(x102021,f885(a872,f885(a872,a871)))),a873),f8(f885(a872,a871),f885(a872,f885(a872,a871)),x102021)),f331(f331(f8(f885(a872,f885(f885(a872,a871),f885(a872,a871))),f885(f885(a872,a871),f885(a872,f885(a872,a871))),a873),f7(a872,f885(a872,a871),f885(a872,a871))),f331(f331(f8(f885(a872,f885(a872,f885(a871,a871))),f885(a872,f885(f885(a872,a871),f885(a872,a871))),a873),f331(f8(f885(a872,f885(a871,a871)),f885(f885(a872,a871),f885(a872,a871)),a872),f18(a872,a871,a871))),f331(f331(f8(f885(a872,f885(a872,a871)),f885(a872,f885(a872,f885(a871,a871))),a873),f331(f8(f885(a872,a871),f885(a872,f885(a871,a871)),a872),f331(f8(a871,f885(a871,a871),a872),a334))),f331(f331(f7(a873,a876,f885(a872,f885(a872,a871))),f331(f331(f8(f885(a872,f885(a876,f885(a872,a871))),f885(a876,f885(a872,f885(a872,a871))),a873),f7(a872,a876,f885(a872,a871))),a203)),x102022))))))))),x102023)) % 159.04/158.76 [10204]P31(x102041,x102042,x102043)+~P104(f99(x102041,a871,f331(f331(f8(f885(a873,f885(f885(x102041,f885(a872,a871)),f885(x102041,a871))),f885(a873,f885(f885(x102041,f885(a872,a871)),a871)),f885(x102041,f885(a872,a871))),f331(f8(f885(f885(x102041,f885(a872,a871)),f885(x102041,a871)),f885(f885(x102041,f885(a872,a871)),a871),a873),f331(f8(f885(x102041,a871),a871,f885(x102041,f885(a872,a871))),f88(x102041)))),f331(f331(f8(f885(a873,f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871)))),f885(a873,f885(f885(x102041,f885(a872,a871)),f885(x102041,a871))),f885(x102041,f885(a872,a871))),f331(f8(f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871))),f885(f885(x102041,f885(a872,a871)),f885(x102041,a871)),a873),f331(f8(f885(x102041,f885(a872,a871)),f885(x102041,a871),f885(x102041,f885(a872,a871))),f331(f8(f885(a872,a871),a871,x102041),f88(a872))))),f331(f331(f7(f885(x102041,f885(a872,a871)),f885(a873,f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871)))),f885(a873,f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871))))),f331(f331(f8(f885(f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871))),f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871)))),f885(f885(a873,f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871)))),f885(a873,f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871))))),f885(x102041,f885(a872,a871))),f8(f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871))),f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871))),a873)),f331(f331(f8(f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871))),f885(f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871))),f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871)))),f885(x102041,f885(a872,a871))),f8(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871)))),f331(f331(f8(f885(x102041,f885(f885(a872,a871),f885(a872,a871))),f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871))),f885(x102041,f885(a872,a871))),f18(x102041,f885(a872,a871),f885(a872,a871))),f331(f331(f8(f885(x102041,f885(a872,f885(a871,a871))),f885(x102041,f885(f885(a872,a871),f885(a872,a871))),f885(x102041,f885(a872,a871))),f331(f8(f885(a872,f885(a871,a871)),f885(f885(a872,a871),f885(a872,a871)),x102041),f18(a872,a871,a871))),f331(f8(f885(a872,a871),f885(a872,f885(a871,a871)),x102041),f331(f8(a871,f885(a871,a871),a872),a334))))))),f331(f331(f8(f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,f885(a872,a871)))),f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871))),a873),f331(f8(f885(x102041,f885(a872,f885(a872,a871))),f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,a871))),f331(f8(f885(a872,f885(a872,a871)),f885(a872,a871),x102041),f331(f8(f885(a872,a871),a871,a872),f88(a872))))),f331(f331(f8(f885(f885(a872,a871),f885(a872,f885(a872,a871))),f885(f885(x102041,f885(a872,a871)),f885(x102041,f885(a872,f885(a872,a871)))),a873),f8(f885(a872,a871),f885(a872,f885(a872,a871)),x102041)),f331(f331(f8(f885(a872,f885(f885(a872,a871),f885(a872,a871))),f885(f885(a872,a871),f885(a872,f885(a872,a871))),a873),f7(a872,f885(a872,a871),f885(a872,a871))),f331(f331(f8(f885(a872,f885(a872,f885(a871,a871))),f885(a872,f885(f885(a872,a871),f885(a872,a871))),a873),f331(f8(f885(a872,f885(a871,a871)),f885(f885(a872,a871),f885(a872,a871)),a872),f18(a872,a871,a871))),f331(f331(f8(f885(a872,f885(a872,a871)),f885(a872,f885(a872,f885(a871,a871))),a873),f331(f8(f885(a872,a871),f885(a872,f885(a871,a871)),a872),f331(f8(a871,f885(a871,a871),a872),a334))),f331(f331(f7(a873,a876,f885(a872,f885(a872,a871))),f331(f331(f8(f885(a872,f885(a876,f885(a872,a871))),f885(a876,f885(a872,f885(a872,a871))),a873),f7(a872,a876,f885(a872,a871))),a203)),x102042))))))))),x102043)) % 159.04/158.76 [4676]E(x46761,x46762)+~E(f33(x46763,x46761),f33(x46764,x46762)) % 159.04/158.76 [4677]E(x46771,x46772)+~E(f33(x46771,x46773),f33(x46772,x46774)) % 159.04/158.76 [4678]E(x46781,x46782)+~E(f32(x46783,x46781),f32(x46784,x46782)) % 159.04/158.76 [4679]E(x46791,x46792)+~E(f32(x46791,x46793),f32(x46792,x46794)) % 159.04/158.76 [7761]P21(x77611,x77612,x77613,x77614)+~E(f824(x77614,x77613,x77612,x77611),f827(x77614,x77613,x77612,x77611)) % 159.04/158.76 [8056]P36(x80561,x80562,x80563,x80564,f117(x80562))+~E(x80564,f117(x80561)) % 159.04/158.76 [8057]P36(x80571,x80572,x80573,f117(x80571),x80574)+~E(x80574,f117(x80572)) % 159.04/158.76 [8271]~P21(x82711,f880(x82712),x82714,f184(x82711,x82712,x82714))+P21(x82711,f880(x82712),f185(x82711,x82712,x82713,x82714),f184(x82711,x82712,x82714)) % 159.04/158.76 [8486]~P21(x84861,f880(x84862),f185(x84861,x84862,x84864,x84863),f184(x84861,x84862,x84863))+P21(x84861,f880(x84862),x84863,f184(x84861,x84862,x84863)) % 159.04/158.76 [8602]~P36(x86022,x86023,x86024,x86021,f117(x86023))+E(x86021,f117(x86022)) % 159.04/158.76 [8603]~P36(x86033,x86032,x86034,f117(x86033),x86031)+E(x86031,f117(x86032)) % 159.04/158.76 [5055]~P13(x50553,x50551,x50554)+E(f331(f331(x50551,x50552),x50552),x50552) % 159.04/158.76 [5308]P104(f331(x53082,x53084))+E(f331(f135(x53081,x53082),f169(x53081,x53083,x53084)),f117(x53081)) % 159.04/158.76 [5345]~E(x53454,f194(f885(x53451,a871)))+E(f331(f309(x53451,x53452,x53453),x53454),f194(f885(x53452,a871))) % 159.04/158.76 [5585]~P104(f331(x55852,x55854))+E(f331(f135(x55851,x55852),f169(x55851,x55853,x55854)),f169(x55851,x55853,x55854)) % 159.04/158.76 [5614]~E(f331(f309(x56142,x56143,x56144),x56141),f194(f885(x56143,a871)))+E(x56141,f194(f885(x56142,a871))) % 159.04/158.76 [5898]~P107(x58982)+E(f331(f331(f147(x58981,x58982,x58983),x58984),f117(x58981)),f331(f331(f150(x58981),x58984),f117(x58981))) % 159.04/158.76 [5936]E(f331(x59361,x59362),f197(x59363))+P104(f331(f331(f333(x59364),x59362),f184(x59364,x59363,x59361))) % 159.04/158.76 [6258]~E(x62581,f194(f885(x62582,a871)))+~P104(f331(f63(x62582,x62583,x62581),x62584)) % 159.04/158.76 [6280]~P56(x62801,x62803,x62804,x62802)+P104(f331(f62(x62801),x62802)) % 159.04/158.76 [6281]~P56(x62811,x62813,x62812,x62814)+P104(f331(f62(x62811),x62812)) % 159.04/158.76 [6287]~P56(x62872,x62873,x62874,x62871)+~E(x62871,f194(f885(x62872,a871))) % 159.04/158.76 [6318]~P108(x63181)+E(f331(f331(f105(f885(x63181,a871)),f331(f300(x63181,x63182),x63183)),f301(x63181,x63183,x63184)),f194(f885(x63181,a871))) % 159.04/158.76 [6345]~P104(f331(f331(x63453,x63454),x63452))+P104(f331(f331(f333(x63451),x63452),f291(x63451,x63453,x63454))) % 159.04/158.76 [6346]~P104(f331(f331(x63463,x63464),x63462))+P104(f331(f331(f333(x63461),x63462),f292(x63461,x63463,x63464))) % 159.04/158.76 [6347]~P104(f331(f331(x63473,x63472),x63474))+P104(f331(f331(f333(x63471),x63472),f293(x63471,x63473,x63474))) % 159.04/158.76 [6348]~P104(f331(f331(x63483,x63482),x63484))+P104(f331(f331(f333(x63481),x63482),f296(x63481,x63483,x63484))) % 159.04/158.76 [6486]~P108(x64861)+E(f331(f331(f105(f885(x64861,a871)),f304(x64861,x64862,x64863)),f301(x64861,x64863,x64864)),f194(f885(x64861,a871))) % 159.04/158.76 [6487]~P108(x64871)+E(f331(f331(f105(f885(x64871,a871)),f303(x64871,x64872,x64873)),f304(x64871,x64873,x64874)),f194(f885(x64871,a871))) % 159.04/158.76 [6488]~P108(x64881)+E(f331(f331(f105(f885(x64881,a871)),f303(x64881,x64882,x64883)),f303(x64881,x64883,x64884)),f194(f885(x64881,a871))) % 159.04/158.76 [6489]~P108(x64891)+E(f331(f331(f105(f885(x64891,a871)),f301(x64891,x64892,x64893)),f304(x64891,x64893,x64894)),f194(f885(x64891,a871))) % 159.04/158.76 [6490]~P108(x64901)+E(f331(f331(f105(f885(x64901,a871)),f301(x64901,x64902,x64903)),f303(x64901,x64903,x64904)),f194(f885(x64901,a871))) % 159.04/158.76 [6527]P104(f331(f331(x65271,x65272),f684(x65272,x65271)))+~P104(f331(f259(x65273,x65274,x65271),x65272)) % 159.04/158.76 [6576]~E(f331(x65761,x65762),f197(x65763))+~P104(f331(f331(f333(x65764),x65762),f184(x65764,x65763,x65761))) % 159.04/158.76 [6605]~P107(x66052)+E(f331(f172(x66051),f149(x66051,x66052,x66053,x66054)),f331(f172(x66051),x66054)) % 159.04/158.76 [6657]~P143(x66571)+E(f196(x66571,x66572,f331(a116,x66573),x66574),f196(x66571,x66572,x66573,f331(x66572,x66574))) % 159.04/158.76 [6718]~P104(f331(f331(f333(x67184),x67183),f291(x67184,x67181,x67182)))+P104(f331(f331(x67181,x67182),x67183)) % 159.04/158.76 [6719]~P104(f331(f331(f333(x67194),x67193),f292(x67194,x67191,x67192)))+P104(f331(f331(x67191,x67192),x67193)) % 159.04/158.76 [6720]~P104(f331(f331(f333(x67204),x67202),f293(x67204,x67201,x67203)))+P104(f331(f331(x67201,x67202),x67203)) % 159.04/158.76 [6721]~P104(f331(f331(f333(x67214),x67212),f296(x67214,x67211,x67213)))+P104(f331(f331(x67211,x67212),x67213)) % 159.04/158.76 [6798]E(f331(f38(f883(x67981,x67982)),f317(x67981,x67982,x67983,x67984)),f2(a876))+P104(f331(f62(x67982),x67984)) % 159.04/158.76 [6799]E(f331(f38(f883(x67991,x67992)),f317(x67991,x67992,x67993,x67994)),f2(a876))+P104(f331(f62(x67991),x67993)) % 159.04/158.76 [7001]~P11(x70014,x70011,x70012)+E(f331(f73(x70011,x70011,x70011,f331(x70012,x70013)),f331(x70012,x70013)),f331(x70012,x70013)) % 159.04/158.76 [7798]~P104(f331(x77981,x77984))+P104(f331(x77981,f96(x77982,a876,x77983,x77981))) % 159.04/158.76 [7881]~E(x78812,x78813)+P104(f331(f331(f333(f884(x78811,x78811)),f331(f331(f265(x78811,x78811),x78812),x78813)),f306(x78811,x78814))) % 159.04/158.76 [7910]~P21(x79101,x79102,x79103,f253(f885(x79101,a871)))+E(f331(f77(x79101,x79102,f253(f885(x79101,a871)),x79103),f331(x79103,x79104)),x79104) % 159.04/158.76 [8002]~P104(f331(f331(f333(f877(x80021)),f331(f331(f150(x80021),x80024),x80022)),f160(x80021,x80023)))+P104(f331(f331(f333(f877(x80021)),x80022),f160(x80021,x80023))) % 159.04/158.76 [8003]~P104(f331(f331(f333(f877(x80031)),f331(f331(f126(x80031),x80034),x80032)),f160(x80031,x80033)))+P104(f331(f331(f333(f877(x80031)),x80032),f160(x80031,x80033))) % 159.04/158.76 [8004]~P104(f331(f331(f333(f877(x80041)),f331(f331(f126(x80041),x80042),x80044)),f160(x80041,x80043)))+P104(f331(f331(f333(f877(x80041)),x80042),f160(x80041,x80043))) % 159.04/158.76 [8020]~P107(x80201)+P30(x80201,f331(f331(f153(x80202,x80201),x80203),f149(x80202,x80201,x80203,x80204))) % 159.04/158.76 [8118]P21(x81184,x81183,x81181,x81182)+E(f331(x81181,f824(x81182,x81181,x81183,x81184)),f331(x81181,f827(x81182,x81181,x81183,x81184))) % 159.04/158.76 [8131]E(f185(x81311,x81312,x81313,x81314),f185(x81311,x81312,x81314,x81313))+~E(f331(f331(f105(f885(x81311,a871)),f184(x81311,x81312,x81313)),f184(x81311,x81312,x81314)),f194(f885(x81311,a871))) % 159.04/158.76 [8234]~P21(x82342,x82341,x82344,x82343)+P21(x82341,x82342,f77(x82342,x82341,x82343,x82344),f331(f309(x82342,x82341,x82344),x82343)) % 159.04/158.76 [8370]P39(f884(x83702,x83704),f282(x83702,x83704,x83701,x83703))+P104(f331(x83701,f686(x83702,x83703,x83704,x83701))) % 159.04/158.76 [8493]E(x84931,x84932)+~P104(f331(f331(f333(f884(x84933,x84933)),f331(f331(f265(x84933,x84933),x84931),x84932)),f262(x84933,x84934))) % 159.04/158.76 [8557]~P104(f331(f62(f883(x85573,x85571)),f317(x85573,x85571,x85574,x85572)))+P104(f331(f62(x85571),x85572)) % 159.04/158.76 [8558]~P104(f331(f62(f883(x85581,x85583)),f317(x85581,x85583,x85582,x85584)))+P104(f331(f62(x85581),x85582)) % 159.04/158.76 [8735]P39(f884(x87351,x87352),f282(x87351,x87352,x87353,x87354))+~P39(x87352,f331(x87354,f686(x87351,x87354,x87352,x87353))) % 159.04/158.76 [9297]E(f331(f331(f158(x92971,x92972),f583(x92973,x92974,x92972,x92971)),f584(x92973,x92974,x92972,x92971)),x92974)+~P104(f331(f331(f333(f884(f877(x92971),f877(x92971))),f331(f331(f265(f877(x92971),f877(x92971)),x92972),x92974)),f156(x92971,x92973))) % 159.04/158.76 [9298]~P104(f331(x92983,x92984))+P104(f331(f331(f244(a876),f331(x92981,f96(x92982,a876,x92981,x92983))),f331(x92981,x92984))) % 159.04/158.76 [9304]~P104(f331(f331(f333(f884(f877(x93041),f877(x93041))),f331(f331(f265(f877(x93041),f877(x93041)),x93042),x93043)),f144(x93041,x93044)))+P104(f331(f331(f333(f884(f877(x93041),f877(x93041))),f331(f331(f265(f877(x93041),f877(x93041)),x93042),x93043)),f146(x93041,x93044))) % 159.04/158.76 [9410]P104(f331(f62(x94101),x94102))+~P104(f331(f331(f333(f884(f885(x94101,a871),f885(x94101,a871))),f331(f331(f265(f885(x94101,a871),f885(x94101,a871)),x94103),x94102)),f323(x94101,x94104))) % 159.04/158.76 [9411]P104(f331(f62(x94111),x94112))+~P104(f331(f331(f333(f884(f885(x94111,a871),f885(x94111,a871))),f331(f331(f265(f885(x94111,a871),f885(x94111,a871)),x94112),x94113)),f323(x94111,x94114))) % 159.04/158.76 [9414]~E(x94141,f194(f885(x94142,a871)))+~P104(f331(f331(f333(f884(f885(x94142,a871),f885(x94142,a871))),f331(f331(f265(f885(x94142,a871),f885(x94142,a871)),x94143),x94141)),f323(x94142,x94144))) % 159.04/158.76 [10049]P9(x100491,x100492,x100493,x100494)+~P104(f331(f331(f269(x100491,x100491,a871),f331(f331(f7(x100491,f885(x100491,x100492),f885(x100491,a871)),f331(f331(f8(f885(x100492,a871),f885(f885(x100491,x100492),f885(x100491,a871)),x100491),f8(x100492,a871,x100491)),f331(f331(f8(x100492,f885(x100492,a871),x100491),a328),x100494))),x100494)),f567(x100494,x100493,x100492,x100491))) % 159.04/158.76 [4956]~E(x49564,f197(x49561))+E(f331(f331(f208(x49561,x49562),x49563),x49564),f197(x49562)) % 159.04/158.76 [4957]~E(x49574,f117(x49571))+E(f331(f331(f153(x49571,x49572),x49573),x49574),f117(x49572)) % 159.04/158.76 [4958]~E(x49582,f117(x49581))+E(f331(f331(f158(x49581,x49582),x49583),x49584),f117(x49581)) % 159.04/158.76 [5194]E(x51941,f197(x51942))+~E(f331(f331(f208(x51942,x51943),x51944),x51941),f197(x51943)) % 159.04/158.76 [5195]E(x51951,f117(x51952))+~E(f331(f331(f153(x51952,x51953),x51954),x51951),f117(x51953)) % 159.04/158.76 [5196]E(x51961,f117(x51962))+~E(f331(f331(f158(x51962,x51961),x51963),x51964),f117(x51962)) % 159.04/158.76 [5228]E(x52281,x52282)+~E(f331(f331(f126(x52283),x52284),x52281),f331(f331(f126(x52283),x52284),x52282)) % 159.04/158.76 [5229]E(x52291,x52292)+~E(f331(f331(f126(x52293),x52291),x52294),f331(f331(f126(x52293),x52292),x52294)) % 159.04/158.76 [5383]P104(f331(x53833,x53832))+E(f170(x53831,x53832,f331(f135(x53831,x53833),x53834)),f331(f135(x53831,x53833),x53834)) % 159.04/158.76 [5386]~P104(f331(x53862,x53863))+P35(x53861,x53862,f331(f331(f150(x53861),x53863),x53864)) % 159.04/158.76 [5395]E(x53951,x53952)+~E(f138(a876,f331(f300(a876,x53951),x53953)),f331(f331(f150(a876),x53952),x53954)) % 159.04/158.76 [5443]~P22(x54432,x54433)+P22(x54431,f331(f331(f74(x54432,x54431),x54433),x54434)) % 159.04/158.76 [5444]~P39(x54442,x54443)+P39(x54441,f331(f331(f286(x54442,x54441),x54443),x54444)) % 159.04/158.76 [5569]~P35(x55691,x55692,x55694)+P35(x55691,x55692,f331(f331(f150(x55691),x55693),x55694)) % 159.04/158.76 [5570]~P35(x55701,x55702,x55704)+P35(x55701,x55702,f331(f331(f126(x55701),x55703),x55704)) % 159.04/158.76 [5571]~P35(x55711,x55712,x55713)+P35(x55711,x55712,f331(f331(f126(x55711),x55713),x55714)) % 159.04/158.76 [5657]~E(x56571,f117(x56572))+~E(f331(f331(f126(x56572),x56573),f331(f331(f150(x56572),x56574),f117(x56572))),x56571) % 159.04/158.76 [5682]~P33(x56823,x56821,f331(f331(f150(x56823),x56822),x56824))+P104(f331(x56821,x56822)) % 159.04/158.76 [5692]E(f118(x56921,x56922),x56923)+~E(f331(f331(f126(x56921),x56923),f331(f331(f150(x56921),x56924),f117(x56921))),x56922) % 159.04/158.76 [5693]E(f143(x56931,x56932),x56933)+~E(f331(f331(f126(x56931),x56934),f331(f331(f150(x56931),x56933),f117(x56931))),x56932) % 159.04/158.76 [5803]~E(f138(a876,f331(f300(a876,x58031),x58032)),f331(f331(f150(a876),x58033),x58034))+P104(f331(f331(f245(a876),x58031),x58032)) % 159.04/158.76 [5811]P33(x58111,x58112,x58113)+~P33(x58111,x58112,f331(f331(f150(x58111),x58114),x58113)) % 159.04/158.76 [5812]P33(x58121,x58122,x58123)+~P33(x58121,x58122,f331(f331(f126(x58121),x58124),x58123)) % 159.04/158.76 [5813]P33(x58131,x58132,x58133)+~P33(x58131,x58132,f331(f331(f126(x58131),x58133),x58134)) % 159.04/158.76 [6003]E(x60031,f331(f331(f126(x60032),f331(f168(x60032),x60033)),f331(f331(f150(x60032),x60034),f117(x60032))))+~E(f331(f168(x60032),x60031),f331(f331(f150(x60032),x60034),x60033)) % 159.04/158.76 [6180]~P108(x61801)+E(f331(f331(f105(f885(x61801,a871)),f331(f300(x61801,x61802),x61803)),f331(f300(x61801,x61803),x61804)),f194(f885(x61801,a871))) % 159.04/158.76 [6216]~P69(x62161)+E(f331(f165(x62161),f331(f331(f153(a1,x62161),x62162),f179(x62163,x62164))),f331(f331(f6(a1,x62161),x62162),f331(f172(a1),f179(x62163,x62164)))) % 159.04/158.76 [6217]~P69(x62171)+E(f331(f331(f6(a1,x62171),x62172),f331(f172(a1),f179(x62173,x62174))),f331(f165(x62171),f331(f331(f153(a1,x62171),x62172),f179(x62173,x62174)))) % 159.04/158.76 [6358]~E(x63582,f331(f331(f126(x63581),f331(f168(x63581),x63584)),f331(f331(f150(x63581),x63583),f117(x63581))))+E(f331(f168(x63581),x63582),f331(f331(f150(x63581),x63583),x63584)) % 159.04/158.76 [6373]~P15(x63732,x63733,x63734,x63731)+E(f331(x63731,f194(f885(x63732,a871))),f34(x63733)) % 159.04/158.76 [6399]~P108(x63991)+E(f331(f331(f105(f885(x63991,a871)),f304(x63991,x63992,x63993)),f331(f300(x63991,x63993),x63994)),f194(f885(x63991,a871))) % 159.04/158.76 [6606]E(x66061,f194(f885(x66062,a871)))+~E(f317(x66063,x66062,x66064,x66061),f194(f885(f883(x66063,x66062),a871))) % 159.04/158.76 [6607]E(x66071,f194(f885(x66072,a871)))+~E(f317(x66072,x66073,x66071,x66074),f194(f885(f883(x66072,x66073),a871))) % 159.04/158.76 [6677]~P107(x66772)+E(f331(f195(f877(x66771)),f149(x66771,x66772,x66773,x66774)),f331(f195(f877(x66771)),x66774)) % 159.04/158.76 [6689]~P104(f331(f260(x66893,x66894,x66891),x66892))+P104(f331(f331(x66891,f685(x66892,x66891)),x66892)) % 159.04/158.76 [6729]~P104(f331(f62(x67292),x67294))+P104(f331(f62(x67291),f331(f309(x67292,x67291,x67293),x67294))) % 159.04/158.76 [6961]~P21(x69612,x69611,x69613,x69614)+E(f331(f38(x69611),f331(f309(x69612,x69611,x69613),x69614)),f331(f38(x69612),x69614)) % 159.04/158.76 [6980]E(f331(f309(x69801,x69802,x69803),f331(f310(x69801,x69802,x69803),x69804)),x69804)+~E(f331(f309(x69801,x69802,x69803),f253(f885(x69801,a871))),f253(f885(x69802,a871))) % 159.04/158.76 [7390]~P21(x73901,x73902,x73903,f253(f885(x73901,a871)))+E(f331(f310(x73901,x73902,x73903),f331(f309(x73901,x73902,x73903),x73904)),x73904) % 159.04/158.76 [7722]P104(f331(x77221,x77222))+~P104(f331(f331(f333(x77223),x77222),f331(f172(x77223),f177(x77223,x77221,x77224)))) % 159.04/158.76 [7828]~P104(f331(f331(f333(f877(x78281)),f331(f331(f150(x78281),x78282),x78284)),f160(x78281,x78283)))+P104(f331(f331(f333(x78281),x78282),x78283)) % 159.04/158.76 [7956]~P104(f331(f331(f333(x79561),x79562),f331(f172(x79561),f170(x79561,x79564,x79563))))+P104(f331(f331(f333(x79561),x79562),f331(f172(x79561),x79563))) % 159.04/158.76 [7958]~P104(f331(f331(f333(x79581),x79582),f331(f172(x79581),f176(x79581,x79583,x79584))))+P104(f331(f331(f333(x79581),x79582),f331(f172(x79581),x79583))) % 159.04/158.76 [7959]~P104(f331(f331(f333(x79591),x79592),f331(f172(x79591),f177(x79591,x79594,x79593))))+P104(f331(f331(f333(x79591),x79592),f331(f172(x79591),x79593))) % 159.04/158.76 [7969]E(f331(f195(f877(x79691)),x79692),x79693)+~P104(f331(f331(f333(f877(x79691)),x79692),f331(f172(f877(x79691)),f55(x79691,x79693,x79694)))) % 159.04/158.76 [8068]P104(f331(x80683,x80682))+E(f331(f135(x80681,f331(f331(f8(a871,a871,x80681),a326),f331(a328,x80682))),f331(f135(x80681,x80683),x80684)),f331(f135(x80681,x80683),x80684)) % 159.04/158.76 [8183]E(f331(f331(f164(x81831),f177(x81831,x81832,x81833)),x81834),f331(f331(f164(x81831),x81833),x81834))+~P104(f331(f331(f245(a876),x81834),f331(f195(f877(x81831)),f177(x81831,x81832,x81833)))) % 159.04/158.76 [8269]~P69(x82691)+E(f331(f331(f6(a876,x82691),f331(f331(f8(a876,x82691,a876),x82692),a116)),f331(f300(a876,x82693),x82694)),f331(f331(f6(a876,x82691),x82692),f331(f300(a876,f331(a116,x82693)),f331(a116,x82694)))) % 159.04/158.76 [8278]~P69(x82781)+E(f331(f331(f6(a876,x82781),f331(f331(f8(a876,x82781,a876),x82782),a116)),f301(a876,x82783,x82784)),f331(f331(f6(a876,x82781),x82782),f301(a876,f331(a116,x82783),f331(a116,x82784)))) % 159.04/158.76 [8408]~P21(x84081,x84083,x84084,f253(f885(x84081,a871)))+P21(x84081,f885(x84082,x84083),f331(f331(f8(x84083,f885(x84082,x84083),x84081),f16(x84083,x84082)),x84084),f253(f885(x84081,a871))) % 159.04/158.76 [8501]~P21(x85012,x85011,x85014,x85013)+E(f331(f309(x85011,x85012,f77(x85012,x85011,x85013,x85014)),f331(f309(x85012,x85011,x85014),x85013)),x85013) % 159.04/158.76 [8559]~P104(f331(f331(f333(f884(x85591,x85591)),f331(f331(f265(x85591,x85591),x85592),x85594)),f262(x85591,x85593)))+P104(f331(f331(f333(x85591),x85592),x85593)) % 159.04/158.76 [8648]E(f331(f331(f331(f72(x86481,f880(x86482)),f331(f16(f880(x86482),x86481),f197(x86482))),x86483),f331(f236(x86482),f438(x86483,x86484,x86482,x86481))),x86484)+~E(f184(x86481,x86482,x86484),f331(f331(f308(x86481),x86483),f194(f885(x86481,a871)))) % 159.04/158.76 [8770]~E(f331(f331(f6(x87701,a876),x87704),x87703),f331(a116,x87702))+P104(f331(f331(f333(x87701),f494(x87702,x87703,x87704,x87701)),x87703)) % 159.04/158.76 [8790]~E(f331(f331(f6(x87904,a876),x87901),x87903),f331(a116,x87902))+P104(f331(f331(f245(a876),f2(a876)),f331(x87901,f494(x87902,x87903,x87901,x87904)))) % 159.04/158.76 [8801]~P104(f331(f62(x88012),x88014))+P104(f331(f331(f244(a876),f331(f38(x88011),f331(f309(x88012,x88011,x88013),x88014))),f331(f38(x88012),x88014))) % 159.04/158.76 [8802]E(f331(f331(f265(x88021,x88022),f797(x88023,x88024,x88022,x88021)),f798(x88023,x88024,x88022,x88021)),x88024)+~P104(f331(f331(f333(f884(x88021,x88022)),x88024),f331(f285(x88022,x88021),x88023))) % 159.04/158.76 [8811]P21(x88111,x88112,x88113,x88114)+P104(f331(f331(f333(x88111),f824(x88114,x88113,x88112,x88111)),x88114)) % 159.04/158.76 [8812]P21(x88121,x88122,x88123,x88124)+P104(f331(f331(f333(x88121),f827(x88124,x88123,x88122,x88121)),x88124)) % 159.04/158.76 [8873]P9(x88731,x88732,x88733,x88734)+P104(f331(f331(f333(f884(x88731,x88731)),f567(x88734,x88733,x88732,x88731)),x88733)) % 159.04/158.76 [8935]P104(f331(x89351,x89352))+~P104(f331(x89351,f331(f331(f265(x89353,x89354),f514(x89354,x89353,x89351)),f515(x89354,x89353,x89351)))) % 159.04/158.76 [8954]E(f331(f195(f877(x89541)),x89542),f331(f195(f877(x89541)),x89543))+~P104(f331(f331(f333(f884(f877(x89541),f877(x89541))),f331(f331(f265(f877(x89541),f877(x89541)),x89542),x89543)),f157(x89541,x89544))) % 159.04/158.76 [8955]E(f331(f195(f877(x89551)),x89552),f331(f195(f877(x89551)),x89553))+~P104(f331(f331(f333(f884(f877(x89551),f877(x89551))),f331(f331(f265(f877(x89551),f877(x89551)),x89552),x89553)),f144(x89551,x89554))) % 159.04/158.76 [8956]E(f331(f195(f877(x89561)),x89562),f331(f195(f877(x89561)),x89563))+~P104(f331(f331(f333(f884(f877(x89561),f877(x89561))),f331(f331(f265(f877(x89561),f877(x89561)),x89562),x89563)),f156(x89561,x89564))) % 159.04/158.76 [9030]P104(f331(f331(f244(a876),f154(x90301,x90302,x90303)),f154(x90301,x90304,x90303)))+P104(f331(f331(f333(x90301),f554(x90304,x90302,x90303,x90301)),f331(f172(x90301),x90303))) % 159.04/158.76 [9033]E(f331(f195(f877(x90331)),x90332),f331(f195(f877(x90331)),x90333))+~P104(f331(f331(f333(f884(f877(x90331),f877(x90331))),f331(f331(f265(f877(x90331),f877(x90331)),x90332),x90333)),f306(f877(x90331),f156(x90331,x90334)))) % 159.04/158.76 [9269]~P21(x92691,x92692,x92693,x92694)+~P104(f331(f331(f245(a876),f331(f38(x92692),f331(f309(x92691,x92692,x92693),x92694))),f331(f38(x92691),x92694))) % 159.04/158.76 [9315]~P104(f331(f331(f333(f884(f877(x93151),f877(x93151))),f331(f331(f265(f877(x93151),f877(x93151)),x93152),x93153)),f156(x93151,x93154)))+P104(f331(f331(f333(f884(f877(x93151),f877(x93151))),f331(f331(f265(f877(x93151),f877(x93151)),x93152),x93153)),f157(x93151,f306(x93151,x93154)))) % 159.04/158.76 [9319]~P104(f331(f331(f333(f884(f877(x93191),f877(x93191))),f331(f331(f265(f877(x93191),f877(x93191)),x93192),x93193)),f157(x93191,x93194)))+P104(f331(f331(f333(f884(f877(x93191),f877(x93191))),f331(f331(f265(f877(x93191),f877(x93191)),x93192),x93193)),f306(f877(x93191),f156(x93191,x93194)))) % 159.04/158.76 [9336]P104(f331(f331(f333(f884(x93361,x93361)),f331(f331(f265(x93361,x93361),x93362),x93363)),f306(x93361,x93364)))+~P104(f331(f331(f333(f884(x93361,x93361)),f331(f331(f265(x93361,x93361),x93362),x93363)),f331(f331(f287(x93361,x93361,x93361),x93364),f306(x93361,x93364)))) % 159.04/158.76 [9518]E(f331(f331(f126(x95181),f604(x95182,x95183,x95184,x95181)),f331(f331(f150(x95181),f603(x95182,x95183,x95184,x95181)),f606(x95182,x95183,x95184,x95181))),x95184)+~P104(f331(f331(f333(f884(f877(x95181),f877(x95181))),f331(f331(f265(f877(x95181),f877(x95181)),x95184),x95183)),f156(x95181,x95182))) % 159.04/158.76 [9519]E(f331(f331(f126(x95191),f604(x95192,x95193,x95194,x95191)),f331(f331(f150(x95191),f605(x95192,x95193,x95194,x95191)),f606(x95192,x95193,x95194,x95191))),x95193)+~P104(f331(f331(f333(f884(f877(x95191),f877(x95191))),f331(f331(f265(f877(x95191),f877(x95191)),x95194),x95193)),f156(x95191,x95192))) % 159.04/158.76 [9595]P104(f331(f331(f333(f884(x95951,x95951)),f331(f331(f265(x95951,x95951),x95952),f766(x95953,x95954,x95952,x95951))),f306(x95951,x95953)))+~P104(f331(f331(f333(f884(x95951,x95951)),f331(f331(f265(x95951,x95951),x95952),x95954)),f331(f331(f287(x95951,x95951,x95951),x95953),f306(x95951,x95953)))) % 159.04/158.76 [9664]P104(f331(f331(f244(a876),f154(x96641,x96642,x96643)),f154(x96641,x96644,x96643)))+~P104(f331(f331(f245(a876),f331(x96642,f554(x96644,x96642,x96643,x96641))),f331(x96644,f554(x96644,x96642,x96643,x96641)))) % 159.04/158.76 [9731]P104(f331(f331(f333(f884(x97311,x97311)),f331(f331(f265(x97311,x97311),f765(x97312,x97313,x97314,x97311)),x97313)),f306(x97311,x97312)))+~P104(f331(f331(f333(f884(x97311,x97311)),f331(f331(f265(x97311,x97311),x97314),x97313)),f331(f331(f287(x97311,x97311,x97311),x97312),f306(x97311,x97312)))) % 159.04/158.76 [5210]~E(x52102,x52103)+E(f170(x52101,x52102,f331(f331(f150(x52101),x52103),x52104)),x52104) % 159.04/158.76 [5337]P104(f331(x53372,x53373))+E(f177(x53371,x53372,f331(f331(f150(x53371),x53373),x53374)),f117(x53371)) % 159.04/158.76 [5407]~P82(x54072)+E(f331(f331(f79(f885(x54071,x54072)),x54073),x54074),f331(f79(x54072),f331(x54073,x54074))) % 159.04/158.76 [5419]~E(x54192,f2(a876))+E(f331(f331(f137(x54191),x54192),f331(f331(f150(x54191),x54193),x54194)),f331(f331(f150(x54191),x54193),x54194)) % 159.04/158.76 [5420]P104(f331(x54202,x54203))+E(f331(f135(x54201,x54202),f331(f331(f150(x54201),x54203),x54204)),f331(f135(x54201,x54202),x54204)) % 159.04/158.76 [5552]~E(x55522,x55524)+P104(f331(f331(f331(f308(x55521),x55522),x55523),x55524)) % 159.04/158.76 [5560]E(x55601,f117(x55602))+E(f143(x55603,f331(f331(f153(x55602,x55603),x55604),x55601)),f331(x55604,f143(x55602,x55601))) % 159.04/158.76 [5574]~E(x55741,f64(x55742,x55744))+E(f331(x55741,f331(f331(f308(x55742),x55743),f194(f885(x55742,a871)))),x55743) % 159.04/158.76 [5609]E(x56091,f117(x56092))+E(f331(f140(x56093),f331(f331(f153(x56092,x56093),x56094),x56091)),f331(x56094,f331(f140(x56092),x56091))) % 159.04/158.76 [5712]~P104(f331(x57123,x57124))+P104(f331(f331(f331(f308(x57121),x57122),x57123),x57124)) % 159.04/158.76 [5828]~P14(x58282,x58284,x58281)+E(f331(x58281,f331(f331(f308(x58282),x58283),f194(f885(x58282,a871)))),x58283) % 159.04/158.76 [5852]~E(x58522,x58523)+P104(f331(f331(f333(x58521),x58522),f331(f331(f308(x58521),x58523),x58524))) % 159.04/158.76 [5856]~P75(x58561)+E(f331(f331(f114(x58561),x58562),f331(f331(f114(x58561),x58563),x58564)),f331(f331(f114(x58561),x58563),f331(f331(f114(x58561),x58562),x58564))) % 159.04/158.76 [5858]~P99(x58581)+E(f331(f331(f114(x58581),x58582),f331(f331(f114(x58581),x58583),x58584)),f331(f331(f114(x58581),x58583),f331(f331(f114(x58581),x58582),x58584))) % 159.04/158.76 [5859]~P75(x58591)+E(f331(f331(f105(x58591),x58592),f331(f331(f105(x58591),x58593),x58594)),f331(f331(f105(x58591),x58593),f331(f331(f105(x58591),x58592),x58594))) % 159.04/158.76 [5861]~P100(x58611)+E(f331(f331(f105(x58611),x58612),f331(f331(f105(x58611),x58613),x58614)),f331(f331(f105(x58611),x58613),f331(f331(f105(x58611),x58612),x58614))) % 159.04/158.76 [5862]~P114(x58621)+E(f331(f331(f81(x58621),x58622),f331(f331(f81(x58621),x58623),x58624)),f331(f331(f81(x58621),x58623),f331(f331(f81(x58621),x58622),x58624))) % 159.04/158.76 [5863]~P114(x58631)+E(f331(f331(f80(x58631),x58632),f331(f331(f80(x58631),x58633),x58634)),f331(f331(f80(x58631),x58633),f331(f331(f80(x58631),x58632),x58634))) % 159.04/158.76 [5865]~P107(x58651)+E(f331(f331(f242(x58651),x58652),f331(f331(f242(x58651),x58653),x58654)),f331(f331(f242(x58651),x58653),f331(f331(f242(x58651),x58652),x58654))) % 159.04/158.76 [5867]~P107(x58671)+E(f331(f331(f243(x58671),x58672),f331(f331(f243(x58671),x58673),x58674)),f331(f331(f243(x58671),x58673),f331(f331(f243(x58671),x58672),x58674))) % 159.04/158.76 [5872]E(x58721,x58722)+E(f170(x58723,x58721,f331(f331(f150(x58723),x58722),x58724)),f331(f331(f150(x58723),x58722),f170(x58723,x58721,x58724))) % 159.04/158.76 [5885]~P104(f331(x58852,x58853))+E(f331(f135(x58851,x58852),f331(f331(f150(x58851),x58853),x58854)),f331(f331(f150(x58851),x58853),f331(f135(x58851,x58852),x58854))) % 159.04/158.76 [6023]~P104(f331(x60232,x60233))+E(f177(x60231,x60232,f331(f331(f150(x60231),x60233),x60234)),f331(f331(f150(x60231),x60233),f177(x60231,x60232,x60234))) % 159.04/158.76 [6074]P20(x60741,x60742,x60743)+~P20(x60741,x60742,f331(f331(f308(f875(x60741)),x60744),x60743)) % 159.04/158.76 [6087]E(x60871,f194(f885(x60872,a871)))+E(f331(f331(f42(x60872,f885(x60873,a871)),x60871),f331(f16(f885(x60873,a871),x60872),x60874)),x60874) % 159.04/158.76 [6088]E(x60881,f194(f885(x60882,a871)))+E(f331(f331(f43(x60882,f885(x60883,a871)),x60881),f331(f16(f885(x60883,a871),x60882),x60884)),x60884) % 159.04/158.76 [6097]~E(x60974,f194(f885(x60972,a871)))+E(f331(f331(f267(x60971,x60972),x60973),f331(f16(f885(x60972,a871),x60971),x60974)),f194(f885(f884(x60971,x60972),a871))) % 159.04/158.76 [6098]~E(x60983,f194(f885(x60981,a871)))+E(f331(f331(f267(x60981,x60982),x60983),f331(f16(f885(x60982,a871),x60981),x60984)),f194(f885(f884(x60981,x60982),a871))) % 159.04/158.76 [6144]E(x61441,f2(a876))+E(f331(f331(f137(x61442),x61441),f331(f331(f150(x61442),x61443),x61444)),f331(f331(f137(x61442),f331(f331(f22(a876),x61441),f78(a876))),x61444)) % 159.04/158.76 [6174]E(x61741,f194(f885(x61742,a871)))+E(f331(f309(x61742,x61743,f331(f16(x61743,x61742),x61744)),x61741),f331(f331(f308(x61743),x61744),f194(f885(x61743,a871)))) % 159.04/158.76 [6177]E(f331(f310(x61771,x61772,f331(f16(x61772,x61771),x61773)),x61774),f194(f885(x61771,a871)))+P104(f331(f331(f333(x61772),x61773),x61774)) % 159.04/158.76 [6242]~E(x62423,f194(f885(x62421,a871)))+E(f331(f331(f42(x62421,f885(x62422,a871)),x62423),f331(f16(f885(x62422,a871),x62421),x62424)),f194(f885(x62422,a871))) % 159.04/158.76 [6243]~E(x62433,f194(f885(x62431,a871)))+E(f331(f331(f43(x62431,f885(x62432,a871)),x62433),f331(f16(f885(x62432,a871),x62431),x62434)),f253(f885(x62432,a871))) % 159.04/158.76 [6245]~P26(x62451)+E(f45(x62451,f331(f331(f81(x62451),x62452),x62453),f331(f331(f81(x62451),x62452),x62454)),f331(f331(f81(x62451),x62452),f45(x62451,x62453,x62454))) % 159.04/158.76 [6409]E(f331(f310(x64091,x64092,f331(f16(x64092,x64091),x64093)),x64094),f253(f885(x64091,a871)))+~P104(f331(f331(f333(x64092),x64093),x64094)) % 159.04/158.76 [6432]~P104(f331(f331(f333(x64321),x64322),x64324))+P104(f331(f331(f333(x64321),x64322),f331(f331(f308(x64321),x64323),x64324))) % 159.04/158.76 [6437]P104(f331(x64371,x64372))+~P104(f331(f159(x64373,x64371),f331(f331(f150(x64373),x64372),x64374))) % 159.04/158.76 [6446]~E(x64463,f331(f331(f22(a876),f331(f195(f877(x64461)),x64462)),f78(a876)))+E(f118(x64461,f331(f331(f158(x64461,x64462),x64463),x64464)),f118(x64461,x64462)) % 159.04/158.76 [6465]~P107(x64651)+E(f331(f331(f105(f885(x64651,a871)),f331(f299(x64651),x64652)),f301(x64651,x64653,x64654)),f301(x64651,x64653,f331(f331(f242(x64651),x64652),x64654))) % 159.04/158.76 [6466]~P107(x64661)+E(f331(f331(f105(f885(x64661,a871)),f331(f252(x64661),x64662)),f301(x64661,x64663,x64664)),f301(x64661,f331(f331(f243(x64661),x64662),x64663),x64664)) % 159.04/158.76 [6481]E(f331(f331(f105(f885(x64811,a871)),x64812),f331(f331(f308(x64811),x64813),x64814)),f331(f331(f105(f885(x64811,a871)),x64812),x64814))+P104(f331(f331(f333(x64811),x64813),x64812)) % 159.04/158.76 [6493]E(f170(x64931,x64932,f331(f331(f126(x64931),x64933),x64934)),f331(f331(f126(x64931),x64933),f170(x64931,x64932,x64934)))+P104(f331(f331(f333(x64931),x64932),f331(f172(x64931),x64933))) % 159.04/158.76 [6497]~P79(x64971)+E(f331(f331(f81(x64971),f331(f331(f255(x64971),x64972),x64973)),f331(f331(f255(x64971),x64972),x64974)),f331(f331(f255(x64971),x64972),f331(f331(f80(a876),x64973),x64974))) % 159.04/158.76 [6498]~P114(x64981)+E(f331(f331(f81(x64981),f331(f331(f255(x64981),x64982),x64983)),f331(f331(f255(x64981),x64982),x64984)),f331(f331(f255(x64981),x64982),f331(f331(f80(a876),x64983),x64984))) % 159.04/158.76 [6534]~P97(x65341)+E(f331(f331(f105(x65341),f331(f331(f114(x65341),x65342),x65343)),f331(f331(f114(x65341),x65342),x65344)),f331(f331(f114(x65341),x65342),f331(f331(f105(x65341),x65343),x65344))) % 159.04/158.76 [6535]~P97(x65351)+E(f331(f331(f114(x65351),f331(f331(f105(x65351),x65352),x65353)),f331(f331(f105(x65351),x65352),x65354)),f331(f331(f105(x65351),x65352),f331(f331(f114(x65351),x65353),x65354))) % 159.04/158.76 [6536]~P114(x65361)+E(f331(f331(f80(x65361),f331(f331(f81(x65361),x65362),x65363)),f331(f331(f81(x65361),x65362),x65364)),f331(f331(f81(x65361),x65362),f331(f331(f80(x65361),x65363),x65364))) % 159.04/158.76 [6537]~P107(x65371)+E(f331(f331(f243(x65371),f331(f331(f242(x65371),x65372),x65373)),f331(f331(f242(x65371),x65372),x65374)),f331(f331(f242(x65371),x65372),f331(f331(f243(x65371),x65373),x65374))) % 159.04/158.76 [6538]~P107(x65381)+E(f331(f331(f242(x65381),f331(f331(f243(x65381),x65382),x65383)),f331(f331(f243(x65381),x65382),x65384)),f331(f331(f243(x65381),x65382),f331(f331(f242(x65381),x65383),x65384))) % 159.04/158.76 [6570]~P26(x65701)+E(f45(x65701,f331(f331(f81(x65701),x65702),x65703),f331(f331(f81(x65701),x65704),x65703)),f331(f331(f81(x65701),f45(x65701,x65702,x65704)),x65703)) % 159.04/158.76 [6573]~E(f331(f195(f877(x65731)),x65733),f331(f195(f877(x65732)),x65734))+E(f331(f331(f153(f884(x65731,x65732),x65732),f268(x65731,x65732)),f331(f331(f182(x65731,x65732),x65733),x65734)),x65734) % 159.04/158.76 [6574]~E(f331(f195(f877(x65741)),x65743),f331(f195(f877(x65742)),x65744))+E(f331(f331(f153(f884(x65741,x65742),x65741),f264(x65741,x65742)),f331(f331(f182(x65741,x65742),x65743),x65744)),x65743) % 159.04/158.76 [6580]P104(f331(f159(x65801,x65802),x65803))+~P104(f331(f159(x65801,x65802),f331(f331(f150(x65801),x65804),x65803))) % 159.04/158.76 [6581]P104(f331(f159(x65811,x65812),x65813))+~P104(f331(f159(x65811,x65812),f331(f331(f126(x65811),x65814),x65813))) % 159.04/158.76 [6582]P104(f331(f159(x65821,x65822),x65823))+~P104(f331(f159(x65821,x65822),f331(f331(f126(x65821),x65823),x65824))) % 159.04/158.76 [6587]~P27(x65871)+E(f45(x65871,f331(f331(f22(x65871),x65872),f45(x65871,x65873,x65874)),x65874),f45(x65871,f331(f331(f22(x65871),x65872),x65873),x65874)) % 159.04/158.76 [6588]~P26(x65881)+E(f45(x65881,f331(f331(f81(x65881),x65882),f45(x65881,x65883,x65884)),x65884),f45(x65881,f331(f331(f81(x65881),x65882),x65883),x65884)) % 159.04/158.76 [6590]~P26(x65901)+E(f45(x65901,f331(f331(f80(x65901),x65902),f45(x65901,x65903,x65904)),x65904),f45(x65901,f331(f331(f80(x65901),x65902),x65903),x65904)) % 159.04/158.76 [6671]~P107(x66711)+E(f331(f331(f105(f885(x66711,a871)),f301(x66711,x66712,x66713)),f331(f299(x66711),x66714)),f301(x66711,x66712,f331(f331(f242(x66711),x66713),x66714))) % 159.04/158.76 [6672]~P107(x66721)+E(f331(f331(f105(f885(x66721,a871)),f301(x66721,x66722,x66723)),f331(f252(x66721),x66724)),f301(x66721,f331(f331(f243(x66721),x66722),x66724),x66723)) % 159.04/158.76 [6675]~E(f331(f195(f877(x66751)),x66753),f331(f195(f877(x66752)),x66754))+E(f331(f331(f182(x66751,x66752),f331(f168(x66751),x66753)),f331(f168(x66752),x66754)),f331(f168(f884(x66751,x66752)),f331(f331(f182(x66751,x66752),x66753),x66754))) % 159.04/158.76 [6685]E(x66851,f331(f331(f22(a876),f331(f195(f877(x66852)),x66853)),f78(a876)))+E(f118(x66852,f331(f331(f158(x66852,x66853),x66851),x66854)),f331(f331(f158(x66852,f118(x66852,x66853)),x66851),x66854)) % 159.04/158.76 [6700]~P104(f331(f136(x67002),x67004))+P104(f331(f136(f884(x67001,x67002)),f331(f331(f182(x67001,x67002),x67003),x67004))) % 159.04/158.76 [6701]~P104(f331(f136(x67011),x67013))+P104(f331(f136(f884(x67011,x67012)),f331(f331(f182(x67011,x67012),x67013),x67014))) % 159.04/158.76 [6964]E(f331(f331(f39(a876),x69641),x69642),x69643)+~P104(f331(f48(x69641,x69642),f331(f331(f265(a876,a876),x69643),x69644))) % 159.04/158.76 [6988]E(f45(a876,x69881,x69882),x69883)+~P104(f331(f48(x69881,x69882),f331(f331(f265(a876,a876),x69884),x69883))) % 159.04/158.76 [6991]P104(f331(f136(x69911),x69912))+~P104(f331(f136(x69913),f331(f331(f153(x69911,x69913),x69914),x69912))) % 159.04/158.76 [6999]~P20(x69991,x69992,f331(f331(f308(f875(x69991)),x69993),x69994))+P20(x69991,x69992,f331(f331(f308(f875(x69991)),x69993),f194(f885(f875(x69991),a871)))) % 159.04/158.76 [7005]P104(f331(f331(f201(x70051),x70052),x70053))+~P104(f331(f331(f331(f331(a203,x70051),x70052),x70054),x70053)) % 159.04/158.76 [7077]E(f170(x70771,x70772,f331(f331(f126(x70771),x70773),x70774)),f331(f331(f126(x70771),f170(x70771,x70772,x70773)),x70774))+~P104(f331(f331(f333(x70771),x70772),f331(f172(x70771),x70773))) % 159.04/158.76 [7167]~P27(x71671)+E(f45(x71671,f331(f331(f22(x71671),f45(x71671,x71672,x71673)),x71674),x71673),f45(x71671,f331(f331(f22(x71671),x71672),x71674),x71673)) % 159.04/158.76 [7170]~P26(x71701)+E(f45(x71701,f331(f331(f81(x71701),f45(x71701,x71702,x71703)),x71704),x71703),f45(x71701,f331(f331(f81(x71701),x71702),x71704),x71703)) % 159.04/158.76 [7171]~P26(x71711)+E(f45(x71711,f331(f331(f80(x71711),f45(x71711,x71712,x71713)),x71714),x71713),f45(x71711,f331(f331(f80(x71711),x71712),x71714),x71713)) % 159.04/158.76 [7361]~E(x73611,f331(f331(f150(x73612),x73613),x73614))+~P104(f331(f331(f244(a876),f331(f195(f877(x73612)),x73611)),f331(f195(f877(x73612)),x73614))) % 159.04/158.76 [7436]~E(f331(f178(x74361,x74362),x74363),f331(f178(x74361,x74362),x74364))+E(f331(f309(f884(x74361,x74362),x74361,f264(x74361,x74362)),f331(f172(f884(x74361,x74362)),x74363)),f331(f309(f884(x74361,x74362),x74361,f264(x74361,x74362)),f331(f172(f884(x74361,x74362)),x74364))) % 159.04/158.76 [7570]P21(x75701,x75702,x75703,f331(f172(x75701),x75704))+~P104(f331(f136(x75702),f331(f331(f153(x75701,x75702),x75703),x75704))) % 159.04/158.76 [7644]~P104(f331(f331(f244(f885(x76441,a871)),x76442),x76444))+P104(f331(f331(f244(f885(x76441,a871)),x76442),f331(f331(f308(x76441),x76443),x76444))) % 159.04/158.76 [7677]~P27(x76771)+E(f45(x76771,f331(f331(f22(x76771),f45(x76771,x76772,x76773)),f45(x76771,x76774,x76773)),x76773),f45(x76771,f331(f331(f22(x76771),x76772),x76774),x76773)) % 159.04/158.76 [7678]~P26(x76781)+E(f45(x76781,f331(f331(f81(x76781),f45(x76781,x76782,x76783)),f45(x76781,x76784,x76783)),x76783),f45(x76781,f331(f331(f81(x76781),x76782),x76784),x76783)) % 159.04/158.76 [7679]~P26(x76791)+E(f45(x76791,f331(f331(f80(x76791),f45(x76791,x76792,x76793)),f45(x76791,x76794,x76793)),x76793),f45(x76791,f331(f331(f80(x76791),x76792),x76794),x76793)) % 159.04/158.76 [7777]P104(f331(f331(f331(f331(a203,x77771),x77772),f331(a116,x77773)),x77774))+~P104(f331(f331(f331(f331(a203,x77771),x77772),x77773),x77774)) % 159.04/158.76 [7784]~E(f331(x77844,f483(x77844,x77843,x77841,x77842)),f194(f885(x77842,a871)))+E(f331(f331(f42(x77841,f885(x77842,a871)),x77843),x77844),f194(f885(x77842,a871))) % 159.04/158.76 [7785]~E(f331(x77854,f612(x77854,x77853,x77851,x77852)),f253(f885(x77852,a871)))+E(f331(f331(f43(x77851,f885(x77852,a871)),x77853),x77854),f253(f885(x77852,a871))) % 159.04/158.76 [7786]~E(f331(x77864,f484(x77864,x77863,x77862,x77861)),f194(f885(x77862,a871)))+E(f331(f331(f42(x77861,f885(x77862,a871)),x77863),x77864),f194(f885(x77862,a871))) % 159.04/158.76 [7787]~E(f331(x77874,f615(x77874,x77873,x77872,x77871)),f253(f885(x77872,a871)))+E(f331(f331(f43(x77871,f885(x77872,a871)),x77873),x77874),f253(f885(x77872,a871))) % 159.04/158.76 [8184]P104(f331(x81841,x81842))+~P104(f331(f331(f333(x81843),x81842),f331(f331(f105(f885(x81843,a871)),x81844),f331(f250(x81843),x81841)))) % 159.04/158.76 [8223]~P104(f331(f331(f244(f885(x82231,a871)),x82233),x82234))+P104(f331(f331(f244(f885(x82231,a871)),f331(f331(f308(x82231),x82232),x82233)),f331(f331(f308(x82231),x82232),x82234))) % 159.04/158.76 [8390]P104(f331(f331(f201(x83901),x83902),f364(x83903,x83902,x83904,x83901)))+~P104(f331(f331(f201(f33(x83901,x83904)),x83902),x83903)) % 159.04/158.76 [8391]P104(f331(f331(f201(x83911),x83912),f378(x83913,x83912,x83914,x83911)))+~P104(f331(f331(f201(f33(x83911,x83914)),x83912),x83913)) % 159.04/158.76 [8400]P104(f331(x84002,x84003))+E(f331(f331(f137(x84001),f331(f195(f877(x84001)),f177(x84001,x84002,f331(f331(f150(x84001),x84003),x84004)))),f331(f331(f150(x84001),x84003),x84004)),f331(f331(f150(x84001),x84003),x84004)) % 159.04/158.76 [8515]~P104(f331(f331(f245(a876),f331(x85154,x85152)),f331(x85154,x85153)))+P104(f331(f331(f333(f884(x85151,x85151)),f331(f331(f265(x85151,x85151),x85152),x85153)),f331(f331(f286(a876,x85151),a249),x85154))) % 159.04/158.76 [8605]~P104(f331(x86052,f718(x86054,x86052,x86053,x86051)))+E(f177(x86051,x86052,f331(f331(f126(x86051),x86053),x86054)),f331(f331(f126(x86051),x86053),f177(x86051,x86052,x86054))) % 159.04/158.76 [8675]P21(f877(x86751),f877(x86752),f331(f153(x86751,x86752),x86753),x86754)+~P21(x86751,x86752,x86753,f40(f885(x86751,a871),f331(f309(f877(x86751),f885(x86751,a871),f172(x86751)),x86754))) % 159.04/158.76 [8742]~P104(f331(x87422,x87423))+E(f331(f331(f137(x87421),f331(f195(f877(x87421)),f177(x87421,x87422,f331(f331(f150(x87421),x87423),x87424)))),f331(f331(f150(x87421),x87423),x87424)),f331(f331(f137(x87421),f331(f195(f877(x87421)),f177(x87421,x87422,x87424))),x87424)) % 159.04/158.76 [8781]~E(x87812,x87813)+E(f331(f135(x87811,f331(f331(f8(a871,a871,x87811),a326),f331(a328,x87812))),f331(f331(f150(x87811),x87813),x87814)),f331(f135(x87811,f331(f331(f8(a871,a871,x87811),a326),f331(a328,x87812))),x87814)) % 159.04/158.76 [8791]E(f331(f331(f42(x87911,f885(x87912,a871)),x87913),x87914),f194(f885(x87912,a871)))+P104(f331(f331(f333(x87911),f483(x87914,x87913,x87911,x87912)),x87913)) % 159.04/158.76 [8792]E(f331(f331(f43(x87921,f885(x87922,a871)),x87923),x87924),f253(f885(x87922,a871)))+P104(f331(f331(f333(x87921),f612(x87924,x87923,x87921,x87922)),x87923)) % 159.04/158.76 [8793]E(f331(f331(f42(x87931,f885(x87932,a871)),x87933),x87934),f194(f885(x87932,a871)))+P104(f331(f331(f333(x87931),f484(x87934,x87933,x87932,x87931)),x87933)) % 159.04/158.76 [8794]E(f331(f331(f43(x87941,f885(x87942,a871)),x87943),x87944),f253(f885(x87942,a871)))+P104(f331(f331(f333(x87941),f615(x87944,x87943,x87942,x87941)),x87943)) % 159.04/158.76 [8831]P104(f331(f331(f245(a876),f331(x88311,x88312)),f331(x88311,x88313)))+~P104(f331(f331(f333(f884(x88314,x88314)),f331(f331(f265(x88314,x88314),x88312),x88313)),f331(f331(f286(a876,x88314),a249),x88311))) % 159.04/158.76 [8852]E(f177(x88521,x88522,f331(f331(f126(x88521),x88523),x88524)),f331(f331(f126(x88521),x88523),f177(x88521,x88522,x88524)))+P104(f331(f331(f333(x88521),f718(x88524,x88522,x88523,x88521)),f331(f172(x88521),x88523))) % 159.04/158.76 [8889]P104(f331(f331(f201(x88891),f364(x88892,x88893,x88891,x88894)),x88892))+~P104(f331(f331(f201(f33(x88894,x88891)),x88893),x88892)) % 159.04/158.76 [8890]P104(f331(f331(f201(x88901),f378(x88902,x88903,x88901,x88904)),x88902))+~P104(f331(f331(f201(f33(x88904,x88901)),x88903),x88902)) % 159.04/158.76 [9019]P104(f331(f331(f333(x90191),f495(x90192,x90193,x90194,x90191)),x90193))+~P104(f331(f331(f333(f885(x90191,a871)),x90194),f331(f331(f61(x90191),x90193),x90192))) % 159.04/158.76 [9022]E(x90221,x90222)+~P104(f331(f331(f333(f884(x90223,x90223)),f331(f331(f265(x90223,x90223),x90221),x90222)),f331(f331(f189(f884(x90223,x90223),a871),f2(a876)),x90224))) % 159.04/158.76 [9101]E(f331(f284(x91011,x91011,x91012),f331(f331(f308(x91011),f495(x91012,x91013,x91014,x91011)),f194(f885(x91011,a871)))),x91014)+~P104(f331(f331(f333(f885(x91011,a871)),x91014),f331(f331(f61(x91011),x91013),x91012))) % 159.04/158.76 [9106]~P104(f331(f331(f333(f884(x91061,x91061)),f331(f331(f265(x91061,x91061),x91063),x91062)),f306(x91061,x91064)))+P104(f331(f331(f333(f884(x91061,x91061)),f331(f331(f265(x91061,x91061),x91062),x91063)),f306(x91061,f331(f285(x91061,x91061),x91064)))) % 159.04/158.76 [9118]~P26(x91181)+E(f331(f331(f80(x91181),f331(f331(f80(x91181),f331(f331(f81(x91181),x91182),f331(f331(f39(x91181),x91183),x91182))),f45(x91181,x91183,x91182))),x91184),f331(f331(f80(x91181),x91183),x91184)) % 159.04/158.76 [9128]~P104(f331(f331(f333(x91281),x91283),x91284))+P104(f331(f331(f333(f885(x91281,a871)),f331(f284(x91281,x91281,x91282),f331(f331(f308(x91281),x91283),f194(f885(x91281,a871))))),f331(f331(f61(x91281),x91284),x91282))) % 159.04/158.76 [9139]P104(f331(f331(f333(f884(x91391,x91391)),f331(f331(f265(x91391,x91391),x91392),x91393)),f306(x91391,x91394)))+~P104(f331(f331(f333(f884(x91391,x91391)),f331(f331(f265(x91391,x91391),x91393),x91392)),f306(x91391,f331(f285(x91391,x91391),x91394)))) % 159.04/158.76 [9231]E(f331(f331(f158(x92311,f331(f168(x92311),x92312)),f331(f331(f22(a876),f331(f331(f22(a876),f331(f195(f877(x92311)),x92312)),x92313)),f78(a876))),x92314),f331(f168(x92311),f331(f331(f158(x92311,x92312),x92313),x92314)))+~P104(f331(f331(f245(a876),x92313),f331(f195(f877(x92311)),x92312))) % 159.04/158.76 [9234]~P104(f331(x92342,f711(x92344,x92342,x92343,x92341)))+E(f331(f331(f137(x92341),f331(f195(f877(x92341)),f177(x92341,x92342,f331(f331(f126(x92341),x92343),x92344)))),f331(f331(f126(x92341),x92343),x92344)),f331(f331(f137(x92341),f331(f195(f877(x92341)),f177(x92341,x92342,x92344))),x92344)) % 159.04/158.76 [9275]~P21(x92752,x92751,x92753,f253(f885(x92752,a871)))+P104(f331(f331(f244(f885(x92751,a871)),f331(f309(x92752,x92751,x92753),f331(f79(f885(x92752,a871)),x92754))),f331(f79(f885(x92751,a871)),f331(f309(x92752,x92751,x92753),x92754)))) % 159.04/158.76 [9288]~P28(x92881)+E(f331(f141(x92881,x92882,f331(f7(x92882,x92881,x92881),f331(f331(f8(x92881,f885(x92881,x92881),x92882),f114(x92881)),x92883)),f194(x92881)),x92884),f331(f331(f42(x92882,x92881),f331(f172(x92882),x92884)),x92883)) % 159.04/158.76 [9289]~P28(x92891)+E(f331(f141(x92891,x92892,f331(f7(x92892,x92891,x92891),f331(f331(f8(x92891,f885(x92891,x92891),x92892),f105(x92891)),x92893)),f253(x92891)),x92894),f331(f331(f43(x92892,x92891),f331(f172(x92892),x92894)),x92893)) % 159.04/158.76 [9301]E(f331(f331(f137(x93011),f331(f195(f877(x93011)),f177(x93011,x93012,f331(f331(f126(x93011),x93013),x93014)))),f331(f331(f126(x93011),x93013),x93014)),f331(f331(f137(x93011),f331(f195(f877(x93011)),f177(x93011,x93012,x93014))),x93014))+P104(f331(f331(f333(x93011),f711(x93014,x93012,x93013,x93011)),f331(f172(x93011),x93013))) % 159.04/158.76 [9369]~P104(f331(f331(f333(f884(f877(x93694),f877(x93694))),f331(f331(f265(f877(x93694),f877(x93694)),x93693),x93692)),f156(x93694,x93691)))+P104(f331(f331(f245(a876),f583(x93691,x93692,x93693,x93694)),f331(f195(f877(x93694)),x93693))) % 159.04/158.76 [9370]~P26(x93701)+E(f331(f331(f80(x93701),f331(f331(f80(x93701),f331(f331(f81(x93701),f331(f331(f39(x93701),x93702),x93703)),x93703)),f45(x93701,x93702,x93703))),x93704),f331(f331(f80(x93701),x93702),x93704)) % 159.04/158.76 [9398]~P104(f331(f331(f333(f884(f877(x93981),f877(x93981))),f331(f331(f265(f877(x93981),f877(x93981)),x93982),x93983)),f331(f285(f877(x93981),f877(x93981)),f156(x93981,x93984))))+P104(f331(f331(f333(f884(f877(x93981),f877(x93981))),f331(f331(f265(f877(x93981),f877(x93981)),x93982),x93983)),f156(x93981,f331(f285(x93981,x93981),x93984)))) % 159.04/158.76 [9399]P104(f331(f331(f333(f884(f877(x93991),f877(x93991))),f331(f331(f265(f877(x93991),f877(x93991)),x93992),x93993)),f331(f285(f877(x93991),f877(x93991)),f156(x93991,x93994))))+~P104(f331(f331(f333(f884(f877(x93991),f877(x93991))),f331(f331(f265(f877(x93991),f877(x93991)),x93992),x93993)),f156(x93991,f331(f285(x93991,x93991),x93994)))) % 159.04/158.76 [9433]~P104(f331(f331(f333(x94331),x94333),f331(f263(x94331,x94332),x94334)))+P104(f331(f331(f333(f884(x94331,x94332)),f331(f331(f265(x94331,x94332),x94333),f697(x94334,x94332,x94333,x94331))),x94334)) % 159.04/158.76 [9434]~P104(f331(f331(f333(x94341),x94343),f331(f263(x94341,x94342),x94344)))+P104(f331(f331(f333(f884(x94341,x94342)),f331(f331(f265(x94341,x94342),x94343),f698(x94344,x94342,x94343,x94341))),x94344)) % 159.04/158.76 [9543]~P104(f331(f62(f880(x95431)),f331(f309(x95432,f880(x95431),x95433),f253(f885(x95432,a871)))))+P104(f331(f62(f880(x95431)),f331(f309(x95432,f880(x95431),f185(x95432,x95431,x95433,f331(f178(x95432,x95431),x95434))),f253(f885(x95432,a871))))) % 159.04/158.76 [9590]~P104(f331(f331(f333(f884(x95901,x95901)),f331(f331(f265(x95901,x95901),x95902),x95904)),f331(f331(f287(x95901,x95901,x95901),x95903),f306(x95901,x95903))))+P104(f331(f331(f333(f884(x95901,x95901)),f331(f331(f265(x95901,x95901),x95902),f765(x95903,x95904,x95902,x95901))),x95903)) % 159.04/158.76 [9758]~P104(f331(f331(f333(f884(x97582,x97581)),x97584),f331(f285(x97581,x97582),x97583)))+P104(f331(f331(f333(f884(x97581,x97582)),f331(f331(f265(x97581,x97582),f798(x97583,x97584,x97581,x97582)),f797(x97583,x97584,x97581,x97582))),x97583)) % 159.04/158.76 [9786]~P104(f331(f331(f333(f884(f877(x97861),f877(x97861))),f331(f331(f265(f877(x97861),f877(x97861)),x97864),x97863)),f156(x97861,x97862)))+P104(f331(f331(f333(f884(x97861,x97861)),f331(f331(f265(x97861,x97861),f603(x97862,x97863,x97864,x97861)),f605(x97862,x97863,x97864,x97861))),x97862)) % 159.04/158.76 [9882]~P104(f331(f331(f333(f884(f877(x98821),f877(x98821))),f331(f331(f265(f877(x98821),f877(x98821)),x98822),x98824)),f156(x98821,x98823)))+P104(f331(f331(f333(f884(x98821,x98821)),f331(f331(f265(x98821,x98821),f331(f331(f164(x98821),x98822),f583(x98823,x98824,x98822,x98821))),f584(x98823,x98824,x98822,x98821))),x98823)) % 159.04/158.76 [9904]~P104(f331(f62(x99042),x99044))+E(f331(f331(f331(f66(f885(x99041,a871),x99042,f114(f885(x99041,a871))),f331(f331(f7(x99042,f885(x99041,a871),f885(x99041,a871)),f331(f331(f8(x99041,f885(f885(x99041,a871),f885(x99041,a871)),x99042),f308(x99041)),x99043)),f194(f885(x99041,a871)))),f194(f885(x99041,a871))),x99044),f331(f309(x99042,x99041,x99043),x99044)) % 159.04/158.76 [9999]~P21(x99991,x99992,x99993,f253(f885(x99991,a871)))+P104(f331(f331(f244(f885(x99991,a871)),f331(f310(x99991,x99992,x99993),f331(f331(f308(x99992),x99994),f194(f885(x99992,a871))))),f331(f331(f308(x99991),f85(x99991,f331(f331(f7(x99991,x99992,a871),f331(f331(f8(x99992,f885(x99992,a871),x99991),a328),x99993)),x99994))),f194(f885(x99991,a871))))) % 159.04/158.76 [5618]~E(f331(f331(f126(x56181),x56182),x56184),x56183)+E(f331(f331(f175(x56181),f331(f195(f877(x56181)),x56182)),x56183),x56182) % 159.04/158.76 [5619]~E(f331(f331(f126(x56192),x56193),x56191),x56194)+E(x56191,f331(f331(f137(x56192),f331(f195(f877(x56192)),x56193)),x56194)) % 159.04/158.76 [5630]~E(x56304,f2(a876))+E(f331(f331(f164(x56301),f331(f331(f150(x56301),x56302),x56303)),x56304),x56302) % 159.04/158.76 [6157]~P114(x61571)+E(f331(f331(f255(x61571),f331(f331(f255(x61571),x61572),x61573)),x61574),f331(f331(f255(x61571),x61572),f331(f331(f81(a876),x61573),x61574))) % 159.04/158.76 [6158]~P79(x61581)+E(f331(f331(f255(x61581),f331(f331(f255(x61581),x61582),x61583)),x61584),f331(f331(f255(x61581),x61582),f331(f331(f81(a876),x61583),x61584))) % 159.04/158.76 [6175]E(x61751,f2(a876))+E(f331(f331(f164(x61752),f331(f331(f150(x61752),x61753),x61754)),x61751),f331(f331(f164(x61752),x61754),f331(f331(f22(a876),x61751),f78(a876)))) % 159.04/158.76 [6199]~P116(x61991)+E(f331(f331(f288(x61991),f331(f331(f81(x61991),x61992),x61993)),x61994),f331(f331(f81(x61991),x61992),f331(f331(f288(x61991),x61993),x61994))) % 159.04/158.76 [6201]~P75(x62011)+E(f331(f331(f114(x62011),f331(f331(f114(x62011),x62012),x62013)),x62014),f331(f331(f114(x62011),x62012),f331(f331(f114(x62011),x62013),x62014))) % 159.04/158.76 [6203]~P99(x62031)+E(f331(f331(f114(x62031),f331(f331(f114(x62031),x62032),x62033)),x62034),f331(f331(f114(x62031),x62032),f331(f331(f114(x62031),x62033),x62034))) % 159.04/158.76 [6204]~P75(x62041)+E(f331(f331(f105(x62041),f331(f331(f105(x62041),x62042),x62043)),x62044),f331(f331(f105(x62041),x62042),f331(f331(f105(x62041),x62043),x62044))) % 159.04/158.76 [6206]~P100(x62061)+E(f331(f331(f105(x62061),f331(f331(f105(x62061),x62062),x62063)),x62064),f331(f331(f105(x62061),x62062),f331(f331(f105(x62061),x62063),x62064))) % 159.04/158.76 [6207]~P66(x62071)+E(f331(f331(f81(x62071),f331(f331(f81(x62071),x62072),x62073)),x62074),f331(f331(f81(x62071),x62072),f331(f331(f81(x62071),x62073),x62074))) % 159.04/158.76 [6208]~P114(x62081)+E(f331(f331(f81(x62081),f331(f331(f81(x62081),x62082),x62083)),x62084),f331(f331(f81(x62081),x62082),f331(f331(f81(x62081),x62083),x62084))) % 159.04/158.76 [6210]~P114(x62101)+E(f331(f331(f80(x62101),f331(f331(f80(x62101),x62102),x62103)),x62104),f331(f331(f80(x62101),x62102),f331(f331(f80(x62101),x62103),x62104))) % 159.04/158.76 [6211]~P67(x62111)+E(f331(f331(f80(x62111),f331(f331(f80(x62111),x62112),x62113)),x62114),f331(f331(f80(x62111),x62112),f331(f331(f80(x62111),x62113),x62114))) % 159.04/158.76 [6213]~P107(x62131)+E(f331(f331(f242(x62131),f331(f331(f242(x62131),x62132),x62133)),x62134),f331(f331(f242(x62131),x62132),f331(f331(f242(x62131),x62133),x62134))) % 159.04/158.76 [6215]~P107(x62151)+E(f331(f331(f243(x62151),f331(f331(f243(x62151),x62152),x62153)),x62154),f331(f331(f243(x62151),x62152),f331(f331(f243(x62151),x62153),x62154))) % 159.04/158.76 [6226]~P26(x62261)+E(f45(x62261,f331(f331(f80(x62261),x62262),f331(f331(f81(x62261),x62263),x62264)),x62264),f45(x62261,x62262,x62264)) % 159.04/158.76 [6227]~P26(x62271)+E(f45(x62271,f331(f331(f80(x62271),x62272),f331(f331(f81(x62271),x62273),x62274)),x62273),f45(x62271,x62272,x62273)) % 159.04/158.76 [6359]E(f331(f331(f164(x63591),f331(f331(f175(x63591),x63592),x63593)),x63594),f331(f331(f164(x63591),x63593),x63594))+~P104(f331(f331(f245(a876),x63594),x63592)) % 159.04/158.76 [6532]~P114(x65321)+E(f331(f331(f81(x65321),f331(f331(f81(x65321),x65322),x65323)),x65324),f331(f331(f81(x65321),f331(f331(f81(x65321),x65322),x65324)),x65323)) % 159.04/158.76 [6533]~P114(x65331)+E(f331(f331(f80(x65331),f331(f331(f80(x65331),x65332),x65333)),x65334),f331(f331(f80(x65331),f331(f331(f80(x65331),x65332),x65334)),x65333)) % 159.04/158.76 [6593]~P143(x65932)+E(f331(f331(f6(x65931,x65932),f331(f16(x65932,x65931),x65933)),x65934),f331(f331(f81(x65932),f331(f104(x65932),f331(f38(x65931),x65934))),x65933)) % 159.04/158.76 [6763]E(f331(f331(f105(f885(x67631,a871)),f331(f331(f308(x67631),x67632),x67633)),x67634),f331(f331(f105(f885(x67631,a871)),x67633),x67634))+P104(f331(f331(f333(x67631),x67632),x67634)) % 159.04/158.76 [6832]~P77(x68321)+E(f331(f331(f242(x68321),f331(f331(f22(x68321),x68322),x68323)),f331(f331(f22(x68321),x68324),x68323)),f331(f331(f22(x68321),f331(f331(f242(x68321),x68322),x68324)),x68323)) % 159.04/158.76 [6833]~P77(x68331)+E(f331(f331(f243(x68331),f331(f331(f22(x68331),x68332),x68333)),f331(f331(f22(x68331),x68334),x68333)),f331(f331(f22(x68331),f331(f331(f243(x68331),x68332),x68334)),x68333)) % 159.04/158.76 [6834]~P97(x68341)+E(f331(f331(f105(x68341),f331(f331(f114(x68341),x68342),x68343)),f331(f331(f114(x68341),x68344),x68343)),f331(f331(f114(x68341),f331(f331(f105(x68341),x68342),x68344)),x68343)) % 159.04/158.76 [6835]~P97(x68351)+E(f331(f331(f114(x68351),f331(f331(f105(x68351),x68352),x68353)),f331(f331(f105(x68351),x68354),x68353)),f331(f331(f105(x68351),f331(f331(f114(x68351),x68352),x68354)),x68353)) % 159.04/158.76 [6837]~P115(x68371)+E(f331(f331(f80(x68371),f331(f331(f81(x68371),x68372),x68373)),f331(f331(f81(x68371),x68374),x68373)),f331(f331(f81(x68371),f331(f331(f80(x68371),x68372),x68374)),x68373)) % 159.04/158.76 [6838]~P84(x68381)+E(f331(f331(f242(x68381),f331(f331(f80(x68381),x68382),x68383)),f331(f331(f80(x68381),x68384),x68383)),f331(f331(f80(x68381),f331(f331(f242(x68381),x68382),x68384)),x68383)) % 159.04/158.76 [6839]~P84(x68391)+E(f331(f331(f243(x68391),f331(f331(f80(x68391),x68392),x68393)),f331(f331(f80(x68391),x68394),x68393)),f331(f331(f80(x68391),f331(f331(f243(x68391),x68392),x68394)),x68393)) % 159.04/158.76 [6840]~P68(x68401)+E(f331(f331(f81(x68401),f331(f331(f255(x68401),x68402),x68403)),f331(f331(f255(x68401),x68404),x68403)),f331(f331(f255(x68401),f331(f331(f81(x68401),x68402),x68404)),x68403)) % 159.04/158.76 [6841]~P114(x68411)+E(f331(f331(f81(x68411),f331(f331(f255(x68411),x68412),x68413)),f331(f331(f255(x68411),x68414),x68413)),f331(f331(f255(x68411),f331(f331(f81(x68411),x68412),x68414)),x68413)) % 159.04/158.76 [6842]~P59(x68421)+E(f331(f331(f288(x68421),f331(f331(f255(x68421),x68422),x68423)),f331(f331(f255(x68421),x68424),x68423)),f331(f331(f255(x68421),f331(f331(f288(x68421),x68422),x68424)),x68423)) % 159.04/158.76 [6843]~P116(x68431)+E(f331(f331(f22(x68431),f331(f331(f288(x68431),x68432),x68433)),f331(f331(f288(x68431),x68434),x68433)),f331(f331(f288(x68431),f331(f331(f22(x68431),x68432),x68434)),x68433)) % 159.04/158.76 [6844]~P116(x68441)+E(f331(f331(f80(x68441),f331(f331(f288(x68441),x68442),x68443)),f331(f331(f288(x68441),x68444),x68443)),f331(f331(f288(x68441),f331(f331(f80(x68441),x68442),x68444)),x68443)) % 159.04/158.76 [6845]~P107(x68451)+E(f331(f331(f243(x68451),f331(f331(f242(x68451),x68452),x68453)),f331(f331(f242(x68451),x68454),x68453)),f331(f331(f242(x68451),f331(f331(f243(x68451),x68452),x68454)),x68453)) % 159.04/158.76 [6846]~P107(x68461)+E(f331(f331(f242(x68461),f331(f331(f243(x68461),x68462),x68463)),f331(f331(f243(x68461),x68464),x68463)),f331(f331(f243(x68461),f331(f331(f242(x68461),x68462),x68464)),x68463)) % 159.04/158.76 [6847]~P114(x68471)+E(f331(f331(f80(x68471),f331(f331(f81(x68471),x68472),x68473)),f331(f331(f81(x68471),x68474),x68473)),f331(f331(f81(x68471),f331(f331(f80(x68471),x68472),x68474)),x68473)) % 159.04/158.76 [6879]E(f331(f331(f158(x68791,x68792),x68793),x68794),x68792)+~P104(f331(f331(f244(a876),f331(f195(f877(x68791)),x68792)),x68793)) % 159.04/158.76 [6904]~P104(f331(x69043,x69044))+P104(f331(f331(f331(f114(f885(x69041,a871)),x69042),x69043),x69044)) % 159.04/158.76 [6906]~P104(f331(x69062,x69064))+P104(f331(f331(f331(f114(f885(x69061,a871)),x69062),x69063),x69064)) % 159.04/158.76 [6927]E(f331(f331(f164(x69271),f331(f331(f126(x69271),x69272),x69273)),x69274),f331(f331(f164(x69271),x69272),x69274))+~P104(f331(f331(f245(a876),x69274),f331(f195(f877(x69271)),x69272))) % 159.04/158.76 [6937]E(f331(f331(f22(f885(x69371,a871)),f331(f331(f308(x69371),x69372),x69373)),x69374),f331(f331(f22(f885(x69371,a871)),x69373),x69374))+~P104(f331(f331(f333(x69371),x69372),x69374)) % 159.04/158.76 [6978]~E(f138(a876,f331(f300(a876,x69781),x69782)),f331(f331(f150(a876),x69784),x69783))+E(f138(a876,f331(f300(a876,f331(f331(f80(a876),x69781),f78(a876))),x69782)),x69783) % 159.04/158.76 [7051]E(x70511,f2(a876))+E(f331(f331(f150(x70512),x70513),f331(f331(f175(x70512),f331(f331(f22(a876),x70511),f78(a876))),x70514)),f331(f331(f175(x70512),x70511),f331(f331(f150(x70512),x70513),x70514))) % 159.04/158.76 [7151]E(f331(f331(f164(x71511),x71512),f331(f331(f22(a876),x71513),f331(f195(f877(x71511)),x71514))),f331(f331(f164(x71511),f331(f331(f126(x71511),x71514),x71512)),x71513))+P104(f331(f331(f245(a876),x71513),f331(f195(f877(x71511)),x71514))) % 159.04/158.76 [7181]E(f331(f331(f105(f885(x71811,a871)),x71812),f331(f331(f308(x71811),x71813),x71814)),f331(f331(f308(x71811),x71813),f331(f331(f105(f885(x71811,a871)),x71812),x71814)))+~P104(f331(f331(f333(x71811),x71813),x71812)) % 159.04/158.76 [7216]E(f331(f331(f164(x72161),f331(f331(f158(x72161,x72162),x72163),x72164)),x72163),x72164)+~P104(f331(f331(f245(a876),x72163),f331(f195(f877(x72161)),x72162))) % 159.04/158.76 [7237]E(x72371,f194(f885(x72372,a871)))+E(f331(f309(f884(x72373,x72372),x72373,f264(x72373,x72372)),f331(f331(f267(x72373,x72372),x72374),f331(f16(f885(x72372,a871),x72373),x72371))),x72374) % 159.04/158.76 [7238]E(x72381,f194(f885(x72382,a871)))+E(f331(f309(f884(x72382,x72383),x72383,f268(x72382,x72383)),f331(f331(f267(x72382,x72383),x72381),f331(f16(f885(x72383,a871),x72382),x72384))),x72384) % 159.04/158.76 [7305]E(f331(f331(f22(f885(x73051,a871)),f331(f331(f308(x73051),x73052),x73053)),x73054),f331(f331(f308(x73051),x73052),f331(f331(f22(f885(x73051,a871)),x73053),x73054)))+P104(f331(f331(f333(x73051),x73052),x73054)) % 159.04/158.76 [7337]P104(f331(x73371,x73372))+P104(f331(f331(f331(f331(a203,f32(x73371,x73373)),x73372),x73374),x73372)) % 159.04/158.76 [7344]~E(x73444,f194(f885(x73442,a871)))+E(f331(f309(f884(x73441,x73442),x73441,f264(x73441,x73442)),f331(f331(f267(x73441,x73442),x73443),f331(f16(f885(x73442,a871),x73441),x73444))),f194(f885(x73441,a871))) % 159.04/158.76 [7345]~E(x73453,f194(f885(x73451,a871)))+E(f331(f309(f884(x73451,x73452),x73452,f268(x73451,x73452)),f331(f331(f267(x73451,x73452),x73453),f331(f16(f885(x73452,a871),x73451),x73454))),f194(f885(x73452,a871))) % 159.04/158.76 [7401]~P104(f331(f331(f333(x74011),x74012),x74014))+P104(f331(f331(f333(x74011),x74012),f331(f331(f114(f885(x74011,a871)),x74013),x74014))) % 159.04/158.76 [7404]~P104(f331(f331(f333(x74041),x74042),x74043))+P104(f331(f331(f333(x74041),x74042),f331(f331(f114(f885(x74041,a871)),x74043),x74044))) % 159.04/158.76 [7423]E(f331(f331(f105(f885(x74231,a871)),f331(f331(f308(x74231),x74232),x74233)),x74234),f331(f331(f308(x74231),x74232),f331(f331(f105(f885(x74231,a871)),x74233),x74234)))+~P104(f331(f331(f333(x74231),x74232),x74234)) % 159.04/158.76 [7700]P104(f331(x77001,x77002))+~P104(f331(f331(f331(f105(f885(x77003,a871)),x77004),x77001),x77002)) % 159.04/158.76 [7701]P104(f331(x77011,x77012))+~P104(f331(f331(f331(f105(f885(x77013,a871)),x77011),x77014),x77012)) % 159.04/158.76 [7704]E(f331(f331(f6(x77041,a876),x77042),f331(f331(f22(f885(x77041,a871)),x77043),f331(f331(f308(x77041),x77044),f194(f885(x77041,a871))))),f331(f331(f6(x77041,a876),x77042),x77043))+P104(f331(f331(f333(x77041),x77044),x77043)) % 159.04/158.76 [7710]~P69(x77101)+E(f331(f165(x77101),f331(f331(f153(a876,x77101),x77102),f138(a876,f331(f300(a876,x77103),x77104)))),f331(f331(f6(a876,x77101),x77102),f331(f172(a876),f138(a876,f331(f300(a876,x77103),x77104))))) % 159.04/158.76 [7711]~P69(x77111)+E(f331(f331(f6(a876,x77111),x77112),f331(f172(a876),f138(a876,f331(f300(a876,x77113),x77114)))),f331(f165(x77111),f331(f331(f153(a876,x77111),x77112),f138(a876,f331(f300(a876,x77113),x77114))))) % 159.04/158.76 [7821]~E(x78213,x78214)+P104(f331(f63(x78211,x78212,f331(f331(f308(x78211),x78213),f194(f885(x78211,a871)))),x78214)) % 159.04/158.76 [7918]P104(f331(f331(f333(x79181),x79182),f331(f172(x79181),x79183)))+~P104(f331(f331(f333(x79181),x79182),f331(f172(x79181),f331(f331(f175(x79181),x79184),x79183)))) % 159.04/158.76 [7919]P104(f331(f331(f333(x79191),x79192),f331(f172(x79191),x79193)))+~P104(f331(f331(f333(x79191),x79192),f331(f172(x79191),f331(f331(f137(x79191),x79194),x79193)))) % 159.04/158.76 [7992]P104(f331(f331(f333(x79921),x79922),x79923))+~P104(f331(f331(f333(x79921),x79922),f331(f331(f22(f885(x79921,a871)),x79923),x79924))) % 159.04/158.76 [7994]P104(f331(f331(f333(x79941),x79942),x79943))+~P104(f331(f331(f333(x79941),x79942),f331(f331(f105(f885(x79941,a871)),x79944),x79943))) % 159.04/158.76 [7997]P104(f331(f331(f333(x79971),x79972),x79973))+~P104(f331(f331(f333(x79971),x79972),f331(f331(f105(f885(x79971,a871)),x79973),x79974))) % 159.04/158.76 [8015]E(f331(f331(f126(x80151),f331(f331(f175(x80151),x80152),x80153)),f331(f331(f150(x80151),x80154),f331(f331(f137(x80151),f331(a116,x80152)),x80153))),f331(f331(f158(x80151,x80153),x80152),x80154))+~P104(f331(f331(f245(a876),x80152),f331(f195(f877(x80151)),x80153))) % 159.04/158.76 [8040]P104(f331(f331(f333(x80401),x80402),x80403))+~P104(f331(f331(f244(f885(x80401,a871)),f331(f331(f308(x80401),x80402),x80404)),x80403)) % 159.04/158.76 [8073]~P104(f331(f331(f333(x80731),x80732),x80733))+~P104(f331(f331(f333(x80731),x80732),f331(f331(f22(f885(x80731,a871)),x80734),x80733))) % 159.04/158.76 [8106]~P104(f331(f331(f245(a876),x81064),f331(f195(f877(x81061)),x81063)))+P104(f331(f331(f333(x81061),x81062),f331(f172(x81061),f331(f331(f158(x81061,x81063),x81064),x81062)))) % 159.04/158.76 [8161]E(f331(f331(f164(x81611),f331(f331(f137(x81611),x81612),x81613)),x81614),f331(f331(f164(x81611),x81613),f331(f331(f80(a876),x81612),x81614)))+~P104(f331(f331(f244(a876),f331(f331(f80(a876),x81612),x81614)),f331(f195(f877(x81611)),x81613))) % 159.04/158.76 [8171]~P143(x81712)+E(f331(f331(f6(x81711,x81712),f331(f331(f8(a876,x81712,x81711),f104(x81712)),x81713)),x81714),f331(f104(x81712),f331(f331(f6(x81711,a876),x81713),x81714))) % 159.04/158.76 [8172]~P138(x81722)+E(f331(f331(f6(x81721,x81722),f331(f331(f8(a1,x81722,x81721),f106(x81722)),x81723)),x81724),f331(f106(x81722),f331(f331(f6(x81721,a1),x81723),x81724))) % 159.04/158.76 [8225]~P62(x82252)+E(f331(f331(f9(x82251,x82252),f331(f331(f8(x82252,x82252,x82251),f75(x82252)),x82253)),x82254),f331(f75(x82252),f331(f331(f9(x82251,x82252),x82253),x82254))) % 159.04/158.76 [8226]~P64(x82262)+E(f331(f331(f6(x82261,x82262),f331(f331(f8(x82262,x82262,x82261),f79(x82262)),x82263)),x82264),f331(f79(x82262),f331(f331(f6(x82261,x82262),x82263),x82264))) % 159.04/158.76 [8228]E(f331(f331(f6(x82281,a876),x82282),f331(f331(f22(f885(x82281,a871)),x82283),f331(f331(f308(x82281),x82284),f194(f885(x82281,a871))))),f331(f331(f22(a876),f331(f331(f6(x82281,a876),x82282),x82283)),f331(x82282,x82284)))+~P104(f331(f331(f333(x82281),x82284),x82283)) % 159.04/158.76 [8248]P104(f331(f331(f244(f885(x82481,a871)),x82482),x82483))+~P104(f331(f331(f244(f885(x82481,a871)),f331(f331(f308(x82481),x82484),x82482)),x82483)) % 159.04/158.76 [8456]E(f331(a116,f474(x84561,x84562,x84563,x84564)),x84562)+~P104(f331(f331(f331(f331(a203,f331(a28,x84564)),x84563),x84562),x84561)) % 159.04/158.76 [8458]E(f331(f331(f178(x84581,x84582),x84583),x84584),f197(x84582))+P104(f331(f331(f333(x84581),x84584),f331(f309(f884(x84581,x84582),x84581,f264(x84581,x84582)),f331(f172(f884(x84581,x84582)),x84583)))) % 159.04/158.76 [8459]P39(x84591,x84592)+~P39(x84591,f331(f331(f308(f884(x84591,x84591)),f331(f331(f265(x84591,x84591),x84593),x84594)),x84592)) % 159.04/158.76 [8460]P55(x84601,x84602)+~P55(x84601,f331(f331(f308(f884(x84601,x84601)),f331(f331(f265(x84601,x84601),x84603),x84604)),x84602)) % 159.04/158.76 [8469]~P107(x84691)+E(f331(f331(f147(x84691,x84691,f5(x84691)),x84692),f331(f331(f147(x84691,x84691,f5(x84691)),x84693),x84694)),f331(f331(f147(x84691,x84691,f5(x84691)),x84693),f331(f331(f147(x84691,x84691,f5(x84691)),x84692),x84694))) % 159.04/158.76 [8479]E(x84791,x84792)+~P104(f331(f63(x84793,x84794,f331(f331(f308(x84793),x84791),f194(f885(x84793,a871)))),x84792)) % 159.04/158.76 [8489]E(f331(f331(f126(x84891),f331(f331(f175(x84891),x84892),x84893)),f331(f331(f175(x84891),x84894),f331(f331(f137(x84891),x84892),x84893))),f331(f331(f175(x84891),f331(f331(f80(a876),x84892),x84894)),x84893))+~P104(f331(f331(f244(a876),f331(f331(f80(a876),x84892),x84894)),f331(f195(f877(x84891)),x84893))) % 159.04/158.76 [8529]P104(f331(f62(x85291),x85292))+~E(x85292,f331(f309(a876,x85291,x85293),f331(f250(a876),f331(f331(f7(a876,a876,a871),f245(a876)),x85294)))) % 159.04/158.76 [8549]~P89(x85491)+E(f331(f141(x85491,x85491,f80(x85491),f331(f331(f80(x85491),x85492),x85493)),x85494),f331(f331(f80(x85491),x85492),f331(f141(x85491,x85491,f80(x85491),x85493),x85494))) % 159.04/158.76 [8583]P104(f331(f331(f244(f885(x85831,a871)),f331(f263(x85831,x85832),x85833)),f331(f263(x85831,x85832),x85834)))+~P104(f331(f331(f244(f885(f884(x85831,x85832),a871)),x85833),x85834)) % 159.04/158.76 [8596]~P104(f331(f331(f244(a876),x85962),x85964))+P104(f331(f331(f244(f885(x85961,a871)),f331(f172(x85961),f331(f331(f175(x85961),x85962),x85963))),f331(f172(x85961),f331(f331(f175(x85961),x85964),x85963)))) % 159.04/158.76 [8597]~P104(f331(f331(f244(a876),x85974),x85972))+P104(f331(f331(f244(f885(x85971,a871)),f331(f172(x85971),f331(f331(f137(x85971),x85972),x85973))),f331(f172(x85971),f331(f331(f137(x85971),x85974),x85973)))) % 159.04/158.76 [8650]~P104(f331(f62(x86501),f331(f331(f22(f885(x86501,a871)),x86502),x86504)))+P104(f331(f62(x86501),f331(f331(f22(f885(x86501,a871)),x86502),f331(f331(f308(x86501),x86503),x86504)))) % 159.04/158.76 [8686]P104(f331(f331(f333(f884(x86861,x86861)),x86862),f306(x86861,x86863)))+~P104(f331(f331(f333(f884(x86861,x86861)),x86862),f331(f331(f189(f884(x86861,x86861),a871),x86864),x86863))) % 159.04/158.76 [8763]~P104(f331(f62(x87631),f331(f331(f22(f885(x87631,a871)),x87632),f331(f331(f308(x87631),x87634),x87633))))+P104(f331(f62(x87631),f331(f331(f22(f885(x87631,a871)),x87632),x87633))) % 159.04/158.76 [8912]~E(f331(f331(f178(x89121,x89122),x89123),x89124),f197(x89122))+~P104(f331(f331(f333(x89121),x89124),f331(f309(f884(x89121,x89122),x89121,f264(x89121,x89122)),f331(f172(f884(x89121,x89122)),x89123)))) % 159.04/158.76 [8978]~P75(x89781)+P104(f331(f331(f244(x89781),f331(f331(f114(x89781),x89782),f331(f331(f105(x89781),x89783),x89784))),f331(f331(f105(x89781),f331(f331(f114(x89781),x89782),x89783)),f331(f331(f114(x89781),x89782),x89784)))) % 159.04/158.76 [8979]~P107(x89791)+P104(f331(f331(f244(x89791),f331(f331(f243(x89791),x89792),f331(f331(f242(x89791),x89793),x89794))),f331(f331(f242(x89791),f331(f331(f243(x89791),x89792),x89793)),f331(f331(f243(x89791),x89792),x89794)))) % 159.04/158.76 [9124]E(x91241,x91242)+~P104(f331(f331(f333(f884(x91243,x91243)),f331(f331(f265(x91243,x91243),x91241),x91242)),f331(f172(f884(x91243,x91243)),f331(f331(f182(x91243,x91243),x91244),x91244)))) % 159.04/158.76 [9157]~P104(f331(f331(f333(f884(x91571,x91571)),f331(f331(f265(x91571,x91571),x91573),x91572)),f306(x91571,x91574)))+~P39(x91571,f331(f331(f308(f884(x91571,x91571)),f331(f331(f265(x91571,x91571),x91572),x91573)),x91574)) % 159.04/158.76 [9158]~P104(f331(f331(f333(f884(x91581,x91581)),f331(f331(f265(x91581,x91581),x91583),x91582)),f306(x91581,x91584)))+~P55(x91581,f331(f331(f308(f884(x91581,x91581)),f331(f331(f265(x91581,x91581),x91582),x91583)),x91584)) % 159.04/158.76 [9163]E(x91631,x91632)+E(f331(f135(x91633,f331(f331(f8(a871,a871,x91633),a326),f331(a328,x91631))),f331(f331(f150(x91633),x91632),x91634)),f331(f331(f150(x91633),x91632),f331(f135(x91633,f331(f331(f8(a871,a871,x91633),a326),f331(a328,x91631))),x91634))) % 159.04/158.76 [9207]~P75(x92071)+P104(f331(f331(f244(x92071),f331(f331(f114(x92071),f331(f331(f105(x92071),x92072),x92073)),f331(f331(f105(x92071),x92072),x92074))),f331(f331(f105(x92071),x92072),f331(f331(f114(x92071),x92073),x92074)))) % 159.04/158.76 [9208]~P107(x92081)+P104(f331(f331(f244(x92081),f331(f331(f243(x92081),f331(f331(f242(x92081),x92082),x92083)),f331(f331(f242(x92081),x92082),x92084))),f331(f331(f242(x92081),x92082),f331(f331(f243(x92081),x92083),x92084)))) % 159.04/158.76 [9284]~E(f331(f309(x92842,x92841,x92843),f253(f885(x92842,a871))),f253(f885(x92841,a871)))+P104(f331(f331(f244(f885(x92841,a871)),f331(f79(f885(x92841,a871)),f331(f309(x92842,x92841,x92843),x92844))),f331(f309(x92842,x92841,x92843),f331(f79(f885(x92842,a871)),x92844)))) % 159.04/158.76 [9362]P104(f331(f331(f331(f331(a203,f331(f241(a873),f331(a26,x93621))),x93622),f474(x93623,x93624,x93622,x93621)),x93623))+~P104(f331(f331(f331(f331(a203,f331(a28,x93621)),x93622),x93624),x93623)) % 159.04/158.76 [9604]P104(f331(f331(f333(f884(x96041,x96041)),f331(f331(f265(x96041,x96041),x96042),x96043)),f331(f285(x96041,x96041),f331(f331(f287(x96041,x96041,x96041),x96044),f306(x96041,x96044)))))+~P104(f331(f331(f333(f884(x96041,x96041)),f331(f331(f265(x96041,x96041),x96042),x96043)),f331(f331(f287(x96041,x96041,x96041),f331(f285(x96041,x96041),x96044)),f306(x96041,f331(f285(x96041,x96041),x96044))))) % 159.04/158.76 [9605]~P104(f331(f331(f333(f884(x96051,x96051)),f331(f331(f265(x96051,x96051),x96052),x96053)),f331(f285(x96051,x96051),f331(f331(f287(x96051,x96051,x96051),x96054),f306(x96051,x96054)))))+P104(f331(f331(f333(f884(x96051,x96051)),f331(f331(f265(x96051,x96051),x96052),x96053)),f331(f331(f287(x96051,x96051,x96051),f331(f285(x96051,x96051),x96054)),f306(x96051,f331(f285(x96051,x96051),x96054))))) % 159.04/158.76 [9626]~P104(f331(f331(f333(x96262),x96264),f331(f261(x96261,x96262),x96263)))+P104(f331(f331(f333(f884(x96261,x96262)),f331(f331(f265(x96261,x96262),f694(x96263,x96261,x96264,x96262)),x96264)),x96263)) % 159.04/158.76 [9627]~P104(f331(f331(f333(x96272),x96274),f331(f261(x96271,x96272),x96273)))+P104(f331(f331(f333(f884(x96271,x96272)),f331(f331(f265(x96271,x96272),f695(x96273,x96271,x96274,x96272)),x96274)),x96273)) % 159.04/158.76 [9652]~P104(f331(f331(f333(x96521),x96524),f331(f331(f114(f885(x96521,a871)),x96522),x96523)))+P104(f331(f331(f331(f114(f885(x96521,a871)),f331(f331(f7(x96521,f885(x96521,a871),a871),f333(x96521)),x96522)),f331(f331(f7(x96521,f885(x96521,a871),a871),f333(x96521)),x96523)),x96524)) % 159.04/158.76 [9653]~P104(f331(f331(f333(x96531),x96534),f331(f331(f105(f885(x96531,a871)),x96532),x96533)))+P104(f331(f331(f331(f105(f885(x96531,a871)),f331(f331(f7(x96531,f885(x96531,a871),a871),f333(x96531)),x96532)),f331(f331(f7(x96531,f885(x96531,a871),a871),f333(x96531)),x96533)),x96534)) % 159.04/158.76 [9729]~P104(f331(f331(f333(f884(x97291,x97291)),f331(f331(f265(x97291,x97291),x97294),x97293)),f331(f331(f287(x97291,x97291,x97291),x97292),f306(x97291,x97292))))+P104(f331(f331(f333(f884(x97291,x97291)),f331(f331(f265(x97291,x97291),f766(x97292,x97293,x97294,x97291)),x97293)),x97292)) % 159.04/158.76 [9774]P104(f331(f331(f333(x97741),x97742),f331(f331(f114(f885(x97741,a871)),x97743),x97744)))+~P104(f331(f331(f331(f114(f885(x97741,a871)),f331(f331(f7(x97741,f885(x97741,a871),a871),f333(x97741)),x97743)),f331(f331(f7(x97741,f885(x97741,a871),a871),f333(x97741)),x97744)),x97742)) % 159.04/158.76 [9775]P104(f331(f331(f333(x97751),x97752),f331(f331(f105(f885(x97751,a871)),x97753),x97754)))+~P104(f331(f331(f331(f105(f885(x97751,a871)),f331(f331(f7(x97751,f885(x97751,a871),a871),f333(x97751)),x97753)),f331(f331(f7(x97751,f885(x97751,a871),a871),f333(x97751)),x97754)),x97752)) % 159.04/158.76 [10054]P34(x100541,f331(f331(f7(x100541,f885(f884(x100541,x100541),a871),f885(x100541,a871)),f331(f331(f8(f885(x100541,f885(f885(f884(x100541,x100541),a871),a871)),f885(f885(f884(x100541,x100541),a871),f885(x100541,a871)),x100541),f7(x100541,f885(f884(x100541,x100541),a871),a871)),f331(f331(f8(f885(x100541,f884(x100541,x100541)),f885(x100541,f885(f885(f884(x100541,x100541),a871),a871)),x100541),f331(f8(f884(x100541,x100541),f885(f885(f884(x100541,x100541),a871),a871),x100541),f333(f884(x100541,x100541)))),f265(x100541,x100541)))),x100542),x100543,x100544)+~P104(f331(f331(f333(f884(f877(x100541),f877(x100541))),f331(f331(f265(f877(x100541),f877(x100541)),x100543),x100544)),f157(x100541,x100542))) % 159.04/158.76 [10058]P56(x100581,f331(f331(f7(x100581,f885(f884(x100581,x100581),a871),f885(x100581,a871)),f331(f331(f8(f885(x100581,f885(f885(f884(x100581,x100581),a871),a871)),f885(f885(f884(x100581,x100581),a871),f885(x100581,a871)),x100581),f7(x100581,f885(f884(x100581,x100581),a871),a871)),f331(f331(f8(f885(x100581,f884(x100581,x100581)),f885(x100581,f885(f885(f884(x100581,x100581),a871),a871)),x100581),f331(f8(f884(x100581,x100581),f885(f885(f884(x100581,x100581),a871),a871),x100581),f333(f884(x100581,x100581)))),f265(x100581,x100581)))),x100582),x100583,x100584)+~P104(f331(f331(f333(f884(f885(x100581,a871),f885(x100581,a871))),f331(f331(f265(f885(x100581,a871),f885(x100581,a871)),x100583),x100584)),f323(x100581,x100582))) % 159.04/158.76 [10087]E(x100871,x100872)+~E(f331(f331(f7(x100873,f885(f884(x100873,x100874),a871),f885(x100874,a871)),f331(f331(f8(f885(x100874,f885(f885(f884(x100873,x100874),a871),a871)),f885(f885(f884(x100873,x100874),a871),f885(x100874,a871)),x100873),f7(x100874,f885(f884(x100873,x100874),a871),a871)),f331(f331(f8(f885(x100874,f884(x100873,x100874)),f885(x100874,f885(f885(f884(x100873,x100874),a871),a871)),x100873),f331(f8(f884(x100873,x100874),f885(f885(f884(x100873,x100874),a871),a871),x100874),f333(f884(x100873,x100874)))),f265(x100873,x100874)))),x100871),f331(f331(f7(x100873,f885(f884(x100873,x100874),a871),f885(x100874,a871)),f331(f331(f8(f885(x100874,f885(f885(f884(x100873,x100874),a871),a871)),f885(f885(f884(x100873,x100874),a871),f885(x100874,a871)),x100873),f7(x100874,f885(f884(x100873,x100874),a871),a871)),f331(f331(f8(f885(x100874,f884(x100873,x100874)),f885(x100874,f885(f885(f884(x100873,x100874),a871),a871)),x100873),f331(f8(f884(x100873,x100874),f885(f885(f884(x100873,x100874),a871),a871),x100874),f333(f884(x100873,x100874)))),f265(x100873,x100874)))),x100872)) % 159.04/158.76 [10091]~P34(x100911,f331(f331(f7(x100911,f885(f884(x100911,x100911),a871),f885(x100911,a871)),f331(f331(f8(f885(x100911,f885(f885(f884(x100911,x100911),a871),a871)),f885(f885(f884(x100911,x100911),a871),f885(x100911,a871)),x100911),f7(x100911,f885(f884(x100911,x100911),a871),a871)),f331(f331(f8(f885(x100911,f884(x100911,x100911)),f885(x100911,f885(f885(f884(x100911,x100911),a871),a871)),x100911),f331(f8(f884(x100911,x100911),f885(f885(f884(x100911,x100911),a871),a871),x100911),f333(f884(x100911,x100911)))),f265(x100911,x100911)))),x100914),x100912,x100913)+P104(f331(f331(f333(f884(f877(x100911),f877(x100911))),f331(f331(f265(f877(x100911),f877(x100911)),x100912),x100913)),f157(x100911,x100914))) % 159.04/158.76 [10092]~P56(x100921,f331(f331(f7(x100921,f885(f884(x100921,x100921),a871),f885(x100921,a871)),f331(f331(f8(f885(x100921,f885(f885(f884(x100921,x100921),a871),a871)),f885(f885(f884(x100921,x100921),a871),f885(x100921,a871)),x100921),f7(x100921,f885(f884(x100921,x100921),a871),a871)),f331(f331(f8(f885(x100921,f884(x100921,x100921)),f885(x100921,f885(f885(f884(x100921,x100921),a871),a871)),x100921),f331(f8(f884(x100921,x100921),f885(f885(f884(x100921,x100921),a871),a871),x100921),f333(f884(x100921,x100921)))),f265(x100921,x100921)))),x100924),x100922,x100923)+P104(f331(f331(f333(f884(f885(x100921,a871),f885(x100921,a871))),f331(f331(f265(f885(x100921,a871),f885(x100921,a871)),x100922),x100923)),f323(x100921,x100924))) % 159.04/158.76 [7475]~P92(x74751)+E(f331(f331(f81(x74751),f331(f107(x74751),x74752)),f331(f331(f81(x74751),f331(f107(x74751),x74753)),x74754)),f331(f331(f81(x74751),f331(f107(x74751),f331(f331(f81(a1),x74752),x74753))),x74754)) % 159.04/158.76 [7476]~P92(x74761)+E(f331(f331(f80(x74761),f331(f107(x74761),x74762)),f331(f331(f22(x74761),f331(f107(x74761),x74763)),x74764)),f331(f331(f22(x74761),f331(f107(x74761),f331(f331(f80(a1),x74762),x74763))),x74764)) % 159.04/158.76 [7477]~P92(x74771)+E(f331(f331(f80(x74771),f331(f107(x74771),x74772)),f331(f331(f80(x74771),f331(f107(x74771),x74773)),x74774)),f331(f331(f80(x74771),f331(f107(x74771),f331(f331(f80(a1),x74772),x74773))),x74774)) % 159.04/158.76 [7522]~P143(x75221)+E(f331(f165(x75221),f331(f331(f153(x75222,x75221),f331(f16(x75221,x75222),x75223)),x75224)),f331(f331(f81(x75221),f331(f104(x75221),f331(f195(f877(x75222)),x75224))),x75223)) % 159.04/158.76 [7755]E(f331(f276(x77551,f331(f331(f150(f884(a103,x77551)),x77552),x77553)),x77554),f331(f268(a103,x77551),x77552))+~P104(f331(f331(f245(a103),x77554),f331(f264(a103,x77551),x77552))) % 159.04/158.76 [7800]~P92(x78001)+E(f331(f331(f80(x78001),f331(f107(x78001),x78002)),f331(f331(f22(x78001),x78003),f331(f107(x78001),x78004))),f331(f331(f80(x78001),f331(f107(x78001),f331(f331(f80(a1),x78002),f331(f79(a1),x78004)))),x78003)) % 159.04/158.76 [7931]E(f331(f276(x79311,x79312),f331(f331(f22(a103),x79313),f331(f264(a103,x79311),x79314))),f331(f276(x79311,f331(f331(f150(f884(a103,x79311)),x79314),x79312)),x79313))+P104(f331(f331(f245(a103),x79313),f331(f264(a103,x79311),x79314))) % 159.04/158.76 [8374]~P104(f331(f331(f333(x83741),x83742),f331(f172(x83741),f118(x83741,x83744))))+P104(f331(f331(f333(x83741),x83742),f331(f172(x83741),f118(x83741,f331(f331(f126(x83741),x83743),x83744))))) % 159.04/158.76 [8375]~P104(f331(f331(f333(x83751),x83752),f331(f172(x83751),f118(x83751,x83753))))+P104(f331(f331(f333(x83751),x83752),f331(f172(x83751),f118(x83751,f331(f331(f126(x83751),x83753),x83754))))) % 159.04/158.76 [8395]E(f331(f331(f114(f885(x83951,a871)),f331(f331(f105(f885(x83951,a871)),x83952),x83953)),x83954),f331(f331(f105(f885(x83951,a871)),x83952),f331(f331(f114(f885(x83951,a871)),x83953),x83954)))+~P104(f331(f331(f244(f885(x83951,a871)),x83954),x83952)) % 159.04/158.76 [8699]~E(f331(f331(f114(f885(x86991,a871)),f331(f331(f105(f885(x86991,a871)),x86993),x86994)),x86992),f331(f331(f105(f885(x86991,a871)),x86993),f331(f331(f114(f885(x86991,a871)),x86994),x86992)))+P104(f331(f331(f244(f885(x86991,a871)),x86992),x86993)) % 159.04/158.76 [8984]~P104(f331(f331(f244(f885(x89841,a871)),x89842),f331(f331(f114(f885(x89841,a871)),x89843),x89844)))+P104(f331(f331(f244(f885(x89841,a871)),f331(f331(f22(f885(x89841,a871)),x89842),x89843)),x89844)) % 159.04/158.76 [9043]~P104(f331(f331(f331(f331(a203,f331(a28,x90431)),x90432),f331(a116,x90433)),x90434))+P104(f331(f331(f331(f331(a203,f331(f241(a873),f331(a26,x90431))),x90432),x90433),x90434)) % 159.04/158.76 [9103]P104(f331(f331(f244(f885(x91031,a871)),x91032),f331(f331(f114(f885(x91031,a871)),x91033),x91034)))+~P104(f331(f331(f244(f885(x91031,a871)),f331(f331(f22(f885(x91031,a871)),x91032),x91033)),x91034)) % 159.04/158.76 [9156]P104(f331(f331(f331(f331(a203,f331(a28,x91561)),x91562),f331(a116,x91563)),x91564))+~P104(f331(f331(f331(f331(a203,f331(f241(a873),f331(a26,x91561))),x91562),x91563),x91564)) % 159.04/158.76 [9188]~P86(x91881)+E(f331(f75(x91881),f331(f331(f6(x91882,x91881),f331(f331(f8(x91881,x91881,x91882),f75(x91881)),x91883)),x91884)),f331(f331(f6(x91882,x91881),f331(f331(f8(x91881,x91881,x91882),f75(x91881)),x91883)),x91884)) % 159.04/158.76 [9360]~P86(x93601)+P104(f331(f331(f244(x93601),f2(x93601)),f331(f331(f6(x93602,x93601),f331(f331(f8(x93601,x93601,x93602),f75(x93601)),x93603)),x93604))) % 159.04/158.76 [9365]~P64(x93651)+E(f331(f165(x93651),f331(f331(f153(x93652,x93651),f331(f73(x93651,x93651,x93652,f79(x93651)),x93653)),x93654)),f331(f79(x93651),f331(f165(x93651),f331(f331(f153(x93652,x93651),x93653),x93654)))) % 159.04/158.76 [9499]~P86(x94991)+P104(f331(f331(f244(x94991),f331(f75(x94991),f331(f331(f6(x94992,x94991),x94993),x94994))),f331(f331(f6(x94992,x94991),f331(f331(f8(x94991,x94991,x94992),f75(x94991)),x94993)),x94994))) % 159.04/158.76 [9529]~E(f331(f331(f80(a876),x95291),x95294),f331(f331(f80(a876),x95293),x95292))+P104(f331(f331(f333(f884(f884(a876,a876),f884(a876,a876))),f331(f331(f265(f884(a876,a876),f884(a876,a876)),f331(f331(f265(a876,a876),x95291),x95292)),f331(f331(f265(a876,a876),x95293),x95294))),a112)) % 159.04/158.76 [9530]~P104(f331(f331(f245(a876),x95301),x95303))+P104(f331(f331(f333(f884(f884(a876,a876),f884(a876,a876))),f331(f331(f265(f884(a876,a876),f884(a876,a876)),f331(f331(f265(a876,a876),x95301),x95302)),f331(f331(f265(a876,a876),x95303),x95304))),a35)) % 159.04/158.76 [9531]~P104(f331(f331(f245(a876),x95311),x95313))+P104(f331(f331(f333(f884(f884(a876,a876),f884(a876,a876))),f331(f331(f265(f884(a876,a876),f884(a876,a876)),f331(f331(f265(a876,a876),x95311),x95312)),f331(f331(f265(a876,a876),x95313),x95314))),a70)) % 159.04/158.76 [9677]E(f331(f331(f80(a876),x96771),x96772),f331(f331(f80(a876),x96773),x96774))+~P104(f331(f331(f333(f884(f884(a876,a876),f884(a876,a876))),f331(f331(f265(f884(a876,a876),f884(a876,a876)),f331(f331(f265(a876,a876),x96771),x96774)),f331(f331(f265(a876,a876),x96773),x96772))),a112)) % 159.04/158.76 [9703]E(f331(f331(f164(x97031),f331(f331(f137(x97031),f331(f195(f877(x97031)),f177(x97031,x97032,x97033))),x97033)),x97034),f331(f331(f164(x97031),x97033),f331(f331(f80(a876),x97034),f331(f195(f877(x97031)),f177(x97031,x97032,x97033)))))+~P104(f331(f331(f245(a876),x97034),f331(f195(f877(x97031)),f331(f331(f137(x97031),f331(f195(f877(x97031)),f177(x97031,x97032,x97033))),x97033)))) % 159.04/158.76 [9720]~P104(f331(f331(f333(x97202),x97204),f331(f331(f42(x97201,f885(x97202,a871)),f253(f885(x97201,a871))),x97203)))+P104(f331(f331(f331(f42(x97201,f885(x97202,a871)),f253(f885(x97201,a871))),f331(f331(f8(f885(x97202,a871),f885(x97202,a871),x97201),f331(f7(x97202,f885(x97202,a871),a871),f333(x97202))),x97203)),x97204)) % 159.04/158.76 [9721]~P104(f331(f331(f333(x97212),x97214),f331(f331(f43(x97211,f885(x97212,a871)),f253(f885(x97211,a871))),x97213)))+P104(f331(f331(f331(f43(x97211,f885(x97212,a871)),f253(f885(x97211,a871))),f331(f331(f8(f885(x97212,a871),f885(x97212,a871),x97211),f331(f7(x97212,f885(x97212,a871),a871),f333(x97212))),x97213)),x97214)) % 159.04/158.76 [9802]~P104(f331(f49(x98021,x98022),f331(f331(f265(a1,a1),x98024),x98023)))+P104(f331(f49(f331(f79(a1),x98021),x98022),f331(f331(f265(a1,a1),f331(f331(f331(f100(a1),f331(f331(a328,x98023),f2(a1))),f331(f79(a1),x98024)),f331(f331(f22(a1),f331(f79(a1),x98024)),f78(a1)))),f331(f331(f331(f100(a1),f331(f331(a328,x98023),f2(a1))),f2(a1)),f331(f331(f22(a1),x98022),x98023))))) % 159.04/158.76 [9811]P104(f331(f331(f333(x98111),x98112),f331(f331(f42(x98113,f885(x98111,a871)),f253(f885(x98113,a871))),x98114)))+~P104(f331(f331(f331(f42(x98113,f885(x98111,a871)),f253(f885(x98113,a871))),f331(f331(f8(f885(x98111,a871),f885(x98111,a871),x98113),f331(f7(x98111,f885(x98111,a871),a871),f333(x98111))),x98114)),x98112)) % 159.04/158.76 [9812]P104(f331(f331(f333(x98121),x98122),f331(f331(f43(x98123,f885(x98121,a871)),f253(f885(x98123,a871))),x98124)))+~P104(f331(f331(f331(f43(x98123,f885(x98121,a871)),f253(f885(x98123,a871))),f331(f331(f8(f885(x98121,a871),f885(x98121,a871),x98123),f331(f7(x98121,f885(x98121,a871),a871),f333(x98121))),x98124)),x98122)) % 159.04/158.76 [9824]E(f331(f331(f42(a876,f885(x98241,a871)),f253(f885(a876,a871))),x98242),f331(f331(f42(a876,f885(x98241,a871)),f253(f885(a876,a871))),x98243))+~E(f331(f331(f42(a876,f885(x98241,a871)),f331(f300(a876,f2(a876)),f501(x98242,x98244,x98243,x98241))),x98243),f331(f331(f42(a876,f885(x98241,a871)),f331(f300(a876,f2(a876)),f331(f331(f80(a876),f501(x98242,x98244,x98243,x98241)),x98244))),x98242)) % 159.04/158.76 [10145]~P104(f331(f331(f244(f885(f884(x101451,x101452),a871)),x101453),x101454))+P104(f331(f331(f244(f885(x101451,f885(x101452,a871))),f331(f331(f7(x101451,f885(f884(x101451,x101452),a871),f885(x101452,a871)),f331(f331(f8(f885(x101452,f885(f885(f884(x101451,x101452),a871),a871)),f885(f885(f884(x101451,x101452),a871),f885(x101452,a871)),x101451),f7(x101452,f885(f884(x101451,x101452),a871),a871)),f331(f331(f8(f885(x101452,f884(x101451,x101452)),f885(x101452,f885(f885(f884(x101451,x101452),a871),a871)),x101451),f331(f8(f884(x101451,x101452),f885(f885(f884(x101451,x101452),a871),a871),x101452),f333(f884(x101451,x101452)))),f265(x101451,x101452)))),x101453)),f331(f331(f7(x101451,f885(f884(x101451,x101452),a871),f885(x101452,a871)),f331(f331(f8(f885(x101452,f885(f885(f884(x101451,x101452),a871),a871)),f885(f885(f884(x101451,x101452),a871),f885(x101452,a871)),x101451),f7(x101452,f885(f884(x101451,x101452),a871),a871)),f331(f331(f8(f885(x101452,f884(x101451,x101452)),f885(x101452,f885(f885(f884(x101451,x101452),a871),a871)),x101451),f331(f8(f884(x101451,x101452),f885(f885(f884(x101451,x101452),a871),a871),x101452),f333(f884(x101451,x101452)))),f265(x101451,x101452)))),x101454))) % 159.04/158.76 [10162]P104(f331(f331(f244(f885(f884(x101621,x101622),a871)),x101623),x101624))+~P104(f331(f331(f244(f885(x101621,f885(x101622,a871))),f331(f331(f7(x101621,f885(f884(x101621,x101622),a871),f885(x101622,a871)),f331(f331(f8(f885(x101622,f885(f885(f884(x101621,x101622),a871),a871)),f885(f885(f884(x101621,x101622),a871),f885(x101622,a871)),x101621),f7(x101622,f885(f884(x101621,x101622),a871),a871)),f331(f331(f8(f885(x101622,f884(x101621,x101622)),f885(x101622,f885(f885(f884(x101621,x101622),a871),a871)),x101621),f331(f8(f884(x101621,x101622),f885(f885(f884(x101621,x101622),a871),a871),x101622),f333(f884(x101621,x101622)))),f265(x101621,x101622)))),x101623)),f331(f331(f7(x101621,f885(f884(x101621,x101622),a871),f885(x101622,a871)),f331(f331(f8(f885(x101622,f885(f885(f884(x101621,x101622),a871),a871)),f885(f885(f884(x101621,x101622),a871),f885(x101622,a871)),x101621),f7(x101622,f885(f884(x101621,x101622),a871),a871)),f331(f331(f8(f885(x101622,f884(x101621,x101622)),f885(x101622,f885(f885(f884(x101621,x101622),a871),a871)),x101621),f331(f8(f884(x101621,x101622),f885(f885(f884(x101621,x101622),a871),a871),x101622),f333(f884(x101621,x101622)))),f265(x101621,x101622)))),x101624))) % 159.04/158.76 [9237]~P104(f331(f331(f333(f884(x92371,x92371)),x92372),f306(x92371,x92374)))+P104(f331(f331(f333(f884(x92371,x92371)),x92372),f306(x92371,f331(f331(f114(f885(f884(x92371,x92371),a871)),x92373),x92374)))) % 159.04/158.76 [9238]~P104(f331(f331(f333(f884(x92381,x92381)),x92382),f306(x92381,x92383)))+P104(f331(f331(f333(f884(x92381,x92381)),x92382),f306(x92381,f331(f331(f114(f885(f884(x92381,x92381),a871)),x92383),x92384)))) % 159.04/158.76 [9596]~E(f331(f172(x95961),x95964),f184(x95961,x95962,x95963))+E(f331(f178(x95961,x95962),f331(f331(f153(x95961,f884(x95961,x95962)),f331(f331(f18(x95961,x95962,f884(x95961,x95962)),f265(x95961,x95962)),f331(f331(f8(f880(x95962),x95962,x95961),f241(x95962)),x95963))),x95964)),x95963) % 159.04/158.76 [9918]~P104(f331(f331(f244(a876),f331(f331(f80(a876),x99181),x99184)),f331(f331(f80(a876),x99183),x99182)))+P104(f331(f331(f244(a1),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x99181),x99182)),f194(f885(f884(a876,a876),a871)))))),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x99183),x99184)),f194(f885(f884(a876,a876),a871))))))) % 159.04/158.76 [9919]~P104(f331(f331(f245(a876),f331(f331(f80(a876),x99191),x99194)),f331(f331(f80(a876),x99193),x99192)))+P104(f331(f331(f245(a1),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x99191),x99192)),f194(f885(f884(a876,a876),a871)))))),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x99193),x99194)),f194(f885(f884(a876,a876),a871))))))) % 159.04/158.76 [9996]P104(f331(f331(f244(a876),f331(f331(f80(a876),x99961),x99962)),f331(f331(f80(a876),x99963),x99964)))+~P104(f331(f331(f244(a1),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x99961),x99964)),f194(f885(f884(a876,a876),a871)))))),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x99963),x99962)),f194(f885(f884(a876,a876),a871))))))) % 159.04/158.76 [9997]P104(f331(f331(f245(a876),f331(f331(f80(a876),x99971),x99972)),f331(f331(f80(a876),x99973),x99974)))+~P104(f331(f331(f245(a1),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x99971),x99974)),f194(f885(f884(a876,a876),a871)))))),f331(a89,f331(f284(f884(a876,a876),f884(a876,a876),a112),f331(f331(f308(f884(a876,a876)),f331(f331(f265(a876,a876),x99973),x99972)),f194(f885(f884(a876,a876),a871))))))) % 159.04/158.76 [10039]P104(f331(f331(f244(f885(x100391,a871)),f331(f331(f42(a876,f885(x100391,a871)),f253(f885(a876,a871))),x100392)),f331(f331(f42(a876,f885(x100391,a871)),f253(f885(a876,a871))),x100393)))+~P104(f331(f331(f244(f885(x100391,a871)),f331(f331(f42(a876,f885(x100391,a871)),f331(f300(a876,f2(a876)),f498(x100393,x100394,x100392,x100391))),x100392)),f331(f331(f42(a876,f885(x100391,a871)),f331(f300(a876,f2(a876)),f331(f331(f80(a876),f498(x100393,x100394,x100392,x100391)),x100394))),x100393))) % 159.04/158.76 [10136]~P104(f331(f331(f333(x101362),x101364),f331(f261(x101361,x101362),x101363)))+P104(f331(f260(x101361,x101362,f331(f331(f7(x101361,f885(f884(x101361,x101362),a871),f885(x101362,a871)),f331(f331(f8(f885(x101362,f885(f885(f884(x101361,x101362),a871),a871)),f885(f885(f884(x101361,x101362),a871),f885(x101362,a871)),x101361),f7(x101362,f885(f884(x101361,x101362),a871),a871)),f331(f331(f8(f885(x101362,f884(x101361,x101362)),f885(x101362,f885(f885(f884(x101361,x101362),a871),a871)),x101361),f331(f8(f884(x101361,x101362),f885(f885(f884(x101361,x101362),a871),a871),x101362),f333(f884(x101361,x101362)))),f265(x101361,x101362)))),x101363)),x101364)) % 159.04/158.76 [10137]~P104(f331(f331(f333(x101371),x101374),f331(f263(x101371,x101372),x101373)))+P104(f331(f259(x101371,x101372,f331(f331(f7(x101371,f885(f884(x101371,x101372),a871),f885(x101372,a871)),f331(f331(f8(f885(x101372,f885(f885(f884(x101371,x101372),a871),a871)),f885(f885(f884(x101371,x101372),a871),f885(x101372,a871)),x101371),f7(x101372,f885(f884(x101371,x101372),a871),a871)),f331(f331(f8(f885(x101372,f884(x101371,x101372)),f885(x101372,f885(f885(f884(x101371,x101372),a871),a871)),x101371),f331(f8(f884(x101371,x101372),f885(f885(f884(x101371,x101372),a871),a871),x101372),f333(f884(x101371,x101372)))),f265(x101371,x101372)))),x101373)),x101374)) % 159.04/158.76 [10148]P104(f331(f331(f333(x101481),x101482),f331(f261(x101483,x101481),x101484)))+~P104(f331(f260(x101483,x101481,f331(f331(f7(x101483,f885(f884(x101483,x101481),a871),f885(x101481,a871)),f331(f331(f8(f885(x101481,f885(f885(f884(x101483,x101481),a871),a871)),f885(f885(f884(x101483,x101481),a871),f885(x101481,a871)),x101483),f7(x101481,f885(f884(x101483,x101481),a871),a871)),f331(f331(f8(f885(x101481,f884(x101483,x101481)),f885(x101481,f885(f885(f884(x101483,x101481),a871),a871)),x101483),f331(f8(f884(x101483,x101481),f885(f885(f884(x101483,x101481),a871),a871),x101481),f333(f884(x101483,x101481)))),f265(x101483,x101481)))),x101484)),x101482)) % 159.04/158.76 [10149]P104(f331(f331(f333(x101491),x101492),f331(f263(x101491,x101493),x101494)))+~P104(f331(f259(x101491,x101493,f331(f331(f7(x101491,f885(f884(x101491,x101493),a871),f885(x101493,a871)),f331(f331(f8(f885(x101493,f885(f885(f884(x101491,x101493),a871),a871)),f885(f885(f884(x101491,x101493),a871),f885(x101493,a871)),x101491),f7(x101493,f885(f884(x101491,x101493),a871),a871)),f331(f331(f8(f885(x101493,f884(x101491,x101493)),f885(x101493,f885(f885(f884(x101491,x101493),a871),a871)),x101491),f331(f8(f884(x101491,x101493),f885(f885(f884(x101491,x101493),a871),a871),x101493),f333(f884(x101491,x101493)))),f265(x101491,x101493)))),x101494)),x101492)) % 159.04/158.76 [9834]P104(f331(f159(x98341,x98342),x98343))+~P104(f331(f159(x98341,f331(f331(f18(x98341,a871,a871),f331(f331(f8(a871,f885(a871,a871),x98341),a329),x98344)),x98342)),x98343)) % 159.04/158.76 [9835]P104(f331(f159(x98351,x98352),x98353))+~P104(f331(f159(x98351,f331(f331(f18(x98351,a871,a871),f331(f331(f8(a871,f885(a871,a871),x98351),a329),x98352)),x98354)),x98353)) % 159.04/158.76 [9920]~P114(x99201)+E(f331(f331(f81(x99201),f331(f331(f80(x99201),f78(x99201)),f78(x99201))),f331(f331(f6(a876,x99201),f331(f331(f8(x99201,x99201,a876),f331(f80(x99201),x99202)),f331(f331(f7(a876,x99201,x99201),f331(f331(f8(x99201,f885(x99201,x99201),a876),f81(x99201)),f104(x99201))),x99203))),f331(f251(a876),x99204))),f331(f331(f81(x99201),f331(f104(x99201),x99204)),f331(f331(f80(x99201),x99202),f331(f331(f80(x99201),x99202),f331(f331(f81(x99201),f331(f104(x99201),f331(f331(f22(a876),x99204),f78(a876)))),x99203))))) % 159.04/158.76 [10061]P104(f331(x100611,f691(x100612,x100613,x100614,x100611)))+P39(x100612,f331(f250(f884(x100612,x100612)),f331(f269(x100612,x100612,a871),f331(f331(f8(f885(x100612,a871),f885(x100612,a871),x100612),f331(f18(x100612,a871,a871),f331(f331(f8(a871,f885(a871,a871),x100612),a329),x100611))),f331(f331(f7(x100612,f885(x100612,x100612),f885(x100612,a871)),f331(f331(f8(f885(x100612,a871),f885(f885(x100612,x100612),f885(x100612,a871)),x100612),f8(x100612,a871,x100612)),a328)),x100613))))) % 159.04/158.76 [10075]~P104(f331(f331(f245(a876),f331(x100754,f331(x100753,f691(x100751,x100753,x100754,x100752)))),f331(x100754,f691(x100751,x100753,x100754,x100752))))+P39(x100751,f331(f250(f884(x100751,x100751)),f331(f269(x100751,x100751,a871),f331(f331(f8(f885(x100751,a871),f885(x100751,a871),x100751),f331(f18(x100751,a871,a871),f331(f331(f8(a871,f885(a871,a871),x100751),a329),x100752))),f331(f331(f7(x100751,f885(x100751,x100751),f885(x100751,a871)),f331(f331(f8(f885(x100751,a871),f885(f885(x100751,x100751),f885(x100751,a871)),x100751),f8(x100751,a871,x100751)),a328)),x100753))))) % 159.04/158.76 [10175]~P104(f331(f331(f333(f884(x101751,x101751)),f331(f331(f265(x101751,x101751),x101753),x101754)),f331(f331(f114(f885(f884(x101751,x101751),a871)),x101752),f306(x101751,f194(f885(f884(x101751,x101751),a871))))))+P104(f331(f331(f331(f331(f114(f885(x101751,f885(x101751,a871))),f331(f331(f7(x101751,f885(f884(x101751,x101751),a871),f885(x101751,a871)),f331(f331(f8(f885(x101751,f885(f885(f884(x101751,x101751),a871),a871)),f885(f885(f884(x101751,x101751),a871),f885(x101751,a871)),x101751),f7(x101751,f885(f884(x101751,x101751),a871),a871)),f331(f331(f8(f885(x101751,f884(x101751,x101751)),f885(x101751,f885(f885(f884(x101751,x101751),a871),a871)),x101751),f331(f8(f884(x101751,x101751),f885(f885(f884(x101751,x101751),a871),a871),x101751),f333(f884(x101751,x101751)))),f265(x101751,x101751)))),x101752)),a328),x101753),x101754)) % 159.04/158.76 [10185]P104(f331(f331(f333(f884(x101851,x101851)),f331(f331(f265(x101851,x101851),x101852),x101853)),f331(f331(f114(f885(f884(x101851,x101851),a871)),x101854),f306(x101851,f194(f885(f884(x101851,x101851),a871))))))+~P104(f331(f331(f331(f331(f114(f885(x101851,f885(x101851,a871))),f331(f331(f7(x101851,f885(f884(x101851,x101851),a871),f885(x101851,a871)),f331(f331(f8(f885(x101851,f885(f885(f884(x101851,x101851),a871),a871)),f885(f885(f884(x101851,x101851),a871),f885(x101851,a871)),x101851),f7(x101851,f885(f884(x101851,x101851),a871),a871)),f331(f331(f8(f885(x101851,f884(x101851,x101851)),f885(x101851,f885(f885(f884(x101851,x101851),a871),a871)),x101851),f331(f8(f884(x101851,x101851),f885(f885(f884(x101851,x101851),a871),a871),x101851),f333(f884(x101851,x101851)))),f265(x101851,x101851)))),x101854)),a328),x101852),x101853)) % 159.04/158.76 [10047]~P106(x100473)+E(f90(x100471,f331(f331(f18(x100471,a871,a871),f331(f331(f8(a871,f885(a871,a871),x100471),a329),x100472)),f331(f331(f8(f885(x100471,a871),a871,x100471),f88(x100471)),f331(f331(f8(f885(x100471,a871),f885(x100471,a871),x100471),f331(f18(x100471,a871,a871),f331(f331(f8(a871,f885(a871,a871),x100471),a334),x100472))),f331(f331(f8(x100473,f885(x100471,a871),x100471),f331(f7(x100471,x100473,a871),f331(f331(f8(x100473,f885(x100473,a871),x100471),f244(x100473)),x100474))),x100474))))),f331(f93(x100471,x100473,x100474),x100472)) % 159.04/158.76 [10090]~P106(x100903)+E(f90(x100901,f331(f331(f18(x100901,a871,a871),f331(f331(f8(a871,f885(a871,a871),x100901),a329),x100902)),f331(f331(f8(f885(x100901,a871),a871,x100901),f88(x100901)),f331(f331(f8(f885(x100901,a871),f885(x100901,a871),x100901),f331(f18(x100901,a871,a871),f331(f331(f8(a871,f885(a871,a871),x100901),a334),x100902))),f331(f331(f7(x100901,f885(x100901,x100903),f885(x100901,a871)),f331(f331(f8(f885(x100903,a871),f885(f885(x100901,x100903),f885(x100901,a871)),x100901),f8(x100903,a871,x100901)),f331(f331(f8(x100903,f885(x100903,a871),x100901),f244(x100903)),x100904))),x100904))))),f96(x100901,x100903,x100904,x100902)) % 159.04/158.76 [10134]E(f331(f331(f150(f877(x101341)),f331(f331(f150(x101341),x101342),f331(f141(f877(x101341),f877(x101341),f126(x101341),f117(x101341)),f331(f331(f153(f877(x101341),f877(x101341)),f155(f877(x101341),x101341,f117(x101341),f331(f331(f8(f877(x101341),f885(f877(x101341),f877(x101341)),x101341),f16(f877(x101341),f877(x101341))),f331(f331(f7(x101341,f877(x101341),f877(x101341)),f150(x101341)),f117(x101341))))),x101343)))),f180(x101341,f331(f331(f150(f877(x101341)),x101344),f331(f141(f877(f877(x101341)),f877(f877(x101341)),f126(f877(x101341)),f117(f877(x101341))),f331(f331(f153(f877(x101341),f877(f877(x101341))),f155(f877(f877(x101341)),x101341,f117(f877(x101341)),f331(f16(f885(f877(x101341),f877(f877(x101341))),x101341),f331(f331(f7(f877(x101341),f877(f877(x101341)),f877(f877(x101341))),f150(f877(x101341))),f117(f877(x101341)))))),x101343))))),f180(x101341,f331(f331(f150(f877(x101341)),f331(f331(f150(x101341),x101342),x101344)),x101343)))+~P104(f331(f319(f877(f877(x101341)),f181(x101341)),f331(f331(f150(f877(x101341)),f331(f331(f150(x101341),x101342),x101344)),x101343))) % 159.04/158.76 [10174]~P104(f331(f62(x101742),f331(f250(x101742),x101744)))+P104(f331(f62(x101741),f331(f250(x101741),f331(f331(f8(f885(x101742,a871),a871,x101741),f87(x101742)),f331(f331(f7(x101741,f885(x101742,a871),f885(x101742,a871)),f331(f331(f8(f885(x101742,f885(a871,a871)),f885(f885(x101742,a871),f885(x101742,a871)),x101741),f18(x101742,a871,a871)),f331(f331(f8(f885(x101742,a871),f885(x101742,f885(a871,a871)),x101741),f331(f8(a871,f885(a871,a871),x101742),a329)),f331(f331(f7(x101741,f885(x101742,x101741),f885(x101742,a871)),f331(f331(f8(f885(x101741,a871),f885(f885(x101742,x101741),f885(x101742,a871)),x101741),f8(x101741,a871,x101742)),a328)),x101743)))),x101744))))) % 159.04/158.76 [5264]E(x52641,x52642)+~E(f128(x52643,x52644,x52641),f128(x52643,x52645,x52642)) % 159.04/158.76 [5265]E(x52651,x52652)+~E(f128(x52653,x52651,x52654),f128(x52653,x52652,x52655)) % 159.04/158.76 [5643]E(f331(f331(f308(x56431),x56432),f184(x56431,x56433,x56434)),f184(x56431,x56433,x56434))+~E(f331(x56434,x56432),f331(f236(x56433),x56435)) % 159.04/158.76 [6053]P104(f331(f260(x60531,x60532,x60533),x60534))+~P104(f331(f331(x60533,x60535),x60534)) % 159.04/158.76 [6055]P104(f331(f259(x60551,x60552,x60553),x60554))+~P104(f331(f331(x60553,x60554),x60555)) % 159.04/158.76 [6058]~E(f331(x60584,x60582),f331(f236(x60583),x60585))+P104(f331(f331(f333(x60581),x60582),f184(x60581,x60583,x60584))) % 159.04/158.76 [6059]~E(f331(x60594,x60595),f331(f236(x60591),x60592))+P104(f331(f331(f333(x60591),x60592),f186(x60593,x60591,x60594))) % 159.04/158.76 [6522]~E(x65225,f2(a103))+E(f331(f205(x65221,x65222,x65223,x65224),x65225),f129(x65222)) % 159.04/158.76 [6523]~E(x65235,f2(a103))+E(f331(f207(x65231,x65232,x65233,x65234),x65235),f119(x65232)) % 159.04/158.76 [6659]~E(x66593,f2(a103))+E(f331(f279(x66591,x66592,x66593,x66594),x66595),f331(f265(x66591,x66592),x66595)) % 159.04/158.76 [6732]~E(f331(x67324,x67325),f197(x67322))+E(f331(f239(f880(x67321),x67322,f197(x67321),x67323),f331(x67324,x67325)),f197(x67321)) % 159.04/158.76 [7356]E(f331(x73561,x73562),f197(x73563))+~E(f331(f185(x73564,x73563,x73565,x73561),x73562),f197(x73563)) % 159.04/158.76 [7357]E(f331(x73571,x73572),f197(x73573))+~E(f331(f185(x73574,x73573,x73571,x73575),x73572),f197(x73573)) % 159.04/158.76 [7393]E(f331(f185(x73931,x73932,x73933,x73934),x73935),f331(x73933,x73935))+P104(f331(f331(f333(x73931),x73935),f184(x73931,x73932,x73934))) % 159.04/158.76 [7394]E(f331(f185(x73941,x73942,x73943,x73944),x73945),f331(x73944,x73945))+P104(f331(f331(f333(x73941),x73945),f184(x73941,x73942,x73943))) % 159.04/158.76 [7715]~P16(x77154,x77151,x77152,x77155)+E(f331(f73(x77151,x77151,x77151,f331(x77152,x77153)),f331(x77152,x77153)),f331(x77152,x77153)) % 159.04/158.76 [7759]E(f331(f185(x77591,x77592,x77593,x77594),x77595),f331(x77594,x77595))+~P104(f331(f331(f333(x77591),x77595),f184(x77591,x77592,x77594))) % 159.04/158.76 [8107]~P12(x81075,x81071,x81072)+E(f331(f73(x81071,x81071,x81071,f331(x81072,x81073)),f331(x81072,x81074)),f331(f73(x81071,x81071,x81071,f331(x81072,x81074)),f331(x81072,x81073))) % 159.04/158.76 [8437]P104(f331(f331(f333(f884(x84371,x84371)),f331(f331(f265(x84371,x84371),x84372),x84373)),f325(x84371,x84374,x84375)))+~P104(f331(f331(f245(a876),f331(x84374,x84372)),f331(x84374,x84373))) % 159.04/158.76 [8535]~P104(f331(f331(f333(x85354),x85353),f294(x85354,x85351,x85352,x85355)))+P104(f331(f331(x85351,x85352),x85353)) % 159.04/158.76 [8536]~P104(f331(f331(f333(x85364),x85363),f297(x85364,x85361,x85362,x85365)))+P104(f331(f331(x85361,x85362),x85363)) % 159.04/158.76 [8537]~P104(f331(f331(f333(x85374),x85372),f294(x85374,x85371,x85375,x85373)))+P104(f331(f331(x85371,x85372),x85373)) % 159.04/158.76 [8538]~P104(f331(f331(f333(x85384),x85382),f297(x85384,x85381,x85385,x85383)))+P104(f331(f331(x85381,x85382),x85383)) % 159.04/158.76 [8676]~P54(x86762,x86761,x86765,x86763,x86764)+E(f331(f309(x86761,x86762,x86763),x86764),f253(f885(x86762,a871))) % 159.04/158.76 [9114]~P36(x91141,x91142,x91143,x91144,x91145)+P36(x91141,x91142,x91143,f331(f168(x91141),x91144),f331(f168(x91142),x91145)) % 159.04/158.76 [9116]~P36(x91161,x91162,x91163,f331(f168(x91161),x91164),x91165)+P36(x91161,x91162,x91163,x91164,f331(f168(x91162),x91165)) % 159.04/158.76 [9117]~P36(x91171,x91172,x91173,x91174,f331(f168(x91172),x91175))+P36(x91171,x91172,x91173,f331(f168(x91171),x91174),x91175) % 159.04/158.76 [9123]P36(x91231,x91232,x91233,x91234,x91235)+~P36(x91231,x91232,x91233,f331(f168(x91231),x91234),f331(f168(x91232),x91235)) % 159.04/158.76 [9520]P104(f331(f331(f333(f884(f877(x95201),f877(x95201))),f331(f331(f265(f877(x95201),f877(x95201)),f331(f331(f150(x95201),x95202),x95203)),f331(f331(f150(x95201),x95202),x95204))),f156(x95201,x95205)))+~P104(f331(f331(f333(f884(f877(x95201),f877(x95201))),f331(f331(f265(f877(x95201),f877(x95201)),x95203),x95204)),f156(x95201,x95205))) % 159.04/158.76 [9521]P104(f331(f331(f333(f884(f877(x95211),f877(x95211))),f331(f331(f265(f877(x95211),f877(x95211)),f331(f331(f126(x95211),x95212),x95213)),f331(f331(f126(x95211),x95212),x95214))),f146(x95211,x95215)))+~P104(f331(f331(f333(f884(f877(x95211),f877(x95211))),f331(f331(f265(f877(x95211),f877(x95211)),x95213),x95214)),f146(x95211,x95215))) % 159.04/158.76 [9710]E(f331(f331(f150(x97101),f576(x97102,x97103,x97104,x97105,x97101)),f579(x97102,x97103,x97104,x97105,x97101)),x97105)+~P104(f331(f331(f333(f884(f877(x97101),f877(x97101))),f331(f331(f265(f877(x97101),f877(x97101)),x97105),f331(f331(f150(x97101),x97104),x97103))),f157(x97101,x97102))) % 159.04/158.76 [9732]E(f331(f331(f150(x97321),f577(x97322,x97323,x97324,x97325,x97321)),f578(x97322,x97323,x97324,x97325,x97321)),x97323)+~P104(f331(f331(f333(f884(f877(x97321),f877(x97321))),f331(f331(f265(f877(x97321),f877(x97321)),f331(f331(f150(x97321),x97325),x97324)),x97323)),f157(x97321,x97322))) % 159.04/158.76 [9894]~P104(f331(f331(f333(f884(f877(x98941),f877(x98941))),f331(f331(f265(f877(x98941),f877(x98941)),f331(f331(f150(x98941),x98945),x98942)),x98944)),f157(x98941,x98943)))+P104(f331(f331(f333(f884(f877(x98941),f877(x98941))),f331(f331(f265(f877(x98941),f877(x98941)),x98942),f578(x98943,x98944,x98942,x98945,x98941))),f157(x98941,x98943))) % 159.04/158.76 [9964]~P104(f331(f331(f333(f884(f877(x99641),f877(x99641))),f331(f331(f265(f877(x99641),f877(x99641)),x99645),f331(f331(f150(x99641),x99644),x99643))),f157(x99641,x99642)))+P104(f331(f331(f333(f884(f877(x99641),f877(x99641))),f331(f331(f265(f877(x99641),f877(x99641)),f579(x99642,x99643,x99644,x99645,x99641)),x99643)),f157(x99641,x99642))) % 159.04/158.76 [10129]P104(f331(f331(f333(f884(x101291,x101291)),f331(f331(f265(x101291,x101291),f331(x101292,f331(f331(f80(a876),x101293),x101294))),f331(x101292,x101293))),f306(x101291,x101295)))+~P104(f331(f331(f333(f884(x101291,x101291)),f331(f331(f265(x101291,x101291),f331(x101292,f331(a116,f748(x101294,x101293,x101295,x101292,x101291)))),f331(x101292,f748(x101294,x101293,x101295,x101292,x101291)))),f306(x101291,x101295))) % 159.04/158.76 [5230]E(x52301,x52302)+~E(f331(f331(f150(x52303),x52304),x52301),f331(f331(f150(x52303),x52305),x52302)) % 159.04/158.76 [5231]E(x52311,x52312)+~E(f331(f331(f150(x52313),x52311),x52314),f331(f331(f150(x52313),x52312),x52315)) % 159.04/158.76 [5281]P104(f331(x52811,x52812))+~E(f331(f135(x52813,x52811),x52814),f331(f331(f150(x52813),x52812),x52815)) % 159.04/158.76 [5282]P104(f331(x52821,x52822))+~E(f331(f331(f150(x52823),x52822),x52824),f331(f135(x52823,x52821),x52825)) % 159.04/158.76 [5440]~E(f331(f331(f137(x54401),x54403),x54402),f331(f331(f150(x54401),x54404),x54405))+E(f331(f331(f164(x54401),x54402),x54403),x54404) % 159.04/158.76 [5573]~P11(x55734,x55735,x55731)+E(f331(f331(x55731,x55732),f331(f331(x55731,x55732),x55733)),f331(f331(x55731,x55732),x55733)) % 159.04/158.76 [6111]~E(x61114,f2(a103))+E(f331(f331(f121(x61111,x61112,x61113),x61114),x61115),f331(f331(f265(f877(x61112),x61111),f117(x61112)),x61115)) % 159.04/158.76 [6183]~P107(x61832)+~E(f331(f331(f147(x61831,x61832,x61833),x61834),x61835),f117(x61831)) % 159.04/158.76 [6559]E(x65591,x65592)+~E(f331(f331(f126(x65593),x65594),f331(f331(f150(x65593),x65591),f117(x65593))),f331(f331(f126(x65593),x65595),f331(f331(f150(x65593),x65592),f117(x65593)))) % 159.04/158.76 [6560]E(x65601,x65602)+~E(f331(f331(f126(x65603),x65601),f331(f331(f150(x65603),x65604),f117(x65603))),f331(f331(f126(x65603),x65602),f331(f331(f150(x65603),x65605),f117(x65603)))) % 159.04/158.76 [6815]E(f331(f188(x68151,x68152,x68153,x68154),x68155),f197(x68152))+P104(f331(f331(f333(x68151),x68155),x68154)) % 159.04/158.76 [6877]E(f331(f331(f308(x68771),f331(x68772,x68773)),f331(f309(x68774,x68771,x68772),x68775)),f331(f309(x68774,x68771,x68772),x68775))+~P104(f331(f331(f333(x68774),x68773),x68775)) % 159.04/158.76 [6884]~P104(f331(x68844,f331(x68843,x68845)))+P104(f331(f331(f310(x68841,x68842,x68843),x68844),x68845)) % 159.04/158.76 [6887]~P104(f331(f331(x68873,x68875),x68874))+P104(f331(f331(f254(x68871,x68872,x68873),x68874),x68875)) % 159.04/158.76 [6982]~E(f331(f309(x69821,x69822,x69823),x69824),x69825)+E(f331(f309(f885(x69821,a871),f885(x69822,a871),f309(x69821,x69822,x69823)),f331(f307(x69821),x69824)),f331(f307(x69822),x69825)) % 159.04/158.76 [7014]E(f331(f188(x70141,x70142,x70143,x70144),x70145),f331(x70143,x70145))+~P104(f331(f331(f333(x70141),x70145),x70144)) % 159.04/158.76 [7313]P21(x73131,x73132,x73133,x73134)+~P21(x73131,x73132,x73133,f331(f331(f308(x73131),x73135),x73134)) % 159.04/158.76 [7383]P104(f331(x73831,x73832))+~P104(f331(f331(f95(x73833,x73834,x73831),x73835),x73832)) % 159.04/158.76 [7427]~P104(f331(f331(f333(x74274),x74273),x74275))+P104(f331(f331(f333(x74271),f331(x74272,x74273)),f331(f309(x74274,x74271,x74272),x74275))) % 159.04/158.76 [7451]~P107(x74512)+E(f149(x74511,x74512,x74513,f331(f135(x74511,x74514),x74515)),f331(f135(x74511,x74514),f149(x74511,x74512,x74513,x74515))) % 159.04/158.76 [7484]P104(f331(x74841,f331(x74842,x74843)))+~P104(f331(f331(f310(x74844,x74845,x74842),x74841),x74843)) % 159.04/158.76 [7487]P104(f331(f331(x74871,x74872),x74873))+~P104(f331(f331(f254(x74874,x74875,x74871),x74873),x74872)) % 159.04/158.76 [7488]P104(f331(f331(x74881,x74882),x74883))+~P104(f331(f331(f95(x74884,x74881,x74885),x74882),x74883)) % 159.04/158.76 [7551]~P104(f331(f331(f333(x75513),f331(x75514,x75512)),x75515))+P104(f331(f331(f333(x75511),x75512),f331(f310(x75511,x75513,x75514),x75515))) % 159.04/158.76 [7945]~P104(f331(f331(f333(x79455),x79453),f331(f310(x79455,x79451,x79452),x79454)))+P104(f331(f331(f333(x79451),f331(x79452,x79453)),x79454)) % 159.04/158.76 [8173]~E(x81733,f331(f331(f331(f72(x81731,f880(x81732)),f331(f16(f880(x81732),x81731),f197(x81732))),x81734),f331(f236(x81732),x81735)))+E(f184(x81731,x81732,x81733),f331(f331(f308(x81731),x81734),f194(f885(x81731,a871)))) % 159.04/158.76 [8253]~P12(x82532,x82531,x82533)+E(f331(f141(x82531,x82532,f331(f7(x82532,x82531,x82531),x82533),x82534),f151(x82532,x82535)),f331(f331(f65(x82532,x82531,x82533),x82534),f331(f172(x82532),x82535))) % 159.04/158.76 [8272]E(f331(x82721,f589(x82722,x82721,x82723,x82724)),x82724)+~P104(f331(f331(f333(x82725),x82724),f331(f309(x82723,x82725,x82721),x82722))) % 159.04/158.76 [8581]~E(x85812,f331(f331(f150(x85811),x85814),x85815))+P104(f331(f331(f333(f884(f877(x85811),f877(x85811))),f331(f331(f265(f877(x85811),f877(x85811)),f117(x85811)),x85812)),f146(x85811,x85813))) % 159.04/158.76 [8634]~P36(x86341,x86343,x86345,x86342,x86344)+E(f331(f195(f877(x86341)),x86342),f331(f195(f877(x86343)),x86344)) % 159.04/158.76 [8644]P104(f331(f331(f244(f885(x86441,a871)),f331(f331(f43(x86442,f885(x86441,a871)),x86443),x86444)),f331(x86444,x86445)))+~P104(f331(f331(f333(x86442),x86445),x86443)) % 159.04/158.76 [8692]~P54(x86921,x86922,x86923,x86925,x86924)+E(f331(f309(x86921,x86922,x86923),f253(f885(x86921,a871))),x86924) % 159.04/158.76 [8898]E(f331(f331(f331(f72(x88981,f880(x88982)),f188(x88981,x88982,x88983,x88984)),x88985),f197(x88982)),f188(x88981,x88982,x88983,x88984))+P104(f331(f331(f333(x88981),x88985),x88984)) % 159.04/158.76 [8903]E(f331(f135(x89031,x89032),f731(x89033,x89034,x89035,x89032,x89031)),x89033)+~E(f331(f135(x89031,x89032),x89035),f331(f331(f150(x89031),x89034),x89033)) % 159.04/158.76 [8904]E(f331(f135(x89041,x89042),f732(x89043,x89042,x89044,x89045,x89041)),x89044)+~E(f331(f331(f150(x89041),x89045),x89044),f331(f135(x89041,x89042),x89043)) % 159.04/158.76 [8905]E(f331(x89051,f571(x89052,x89053,x89051,x89054,x89055)),x89052)+~E(f331(f331(f208(x89055,x89054),x89051),x89053),f331(f236(x89054),x89052)) % 159.04/158.76 [8909]E(f331(f236(x89091),f571(x89092,x89093,x89094,x89095,x89091)),x89093)+~E(f331(f331(f208(x89091,x89095),x89094),x89093),f331(f236(x89095),x89092)) % 159.04/158.76 [9006]E(f331(f195(f877(x90061)),x90062),x90063)+~P104(f331(f331(f333(f884(f877(x90061),f877(x90061))),f331(f331(f265(f877(x90061),f877(x90061)),x90064),x90062)),f331(f142(x90061,x90065),x90063))) % 159.04/158.76 [9007]E(f331(f195(f877(x90071)),x90072),x90073)+~P104(f331(f331(f333(f884(f877(x90071),f877(x90071))),f331(f331(f265(f877(x90071),f877(x90071)),x90072),x90074)),f331(f142(x90071,x90075),x90073))) % 159.04/158.76 [9074]P104(f331(f331(f333(x90741),f589(x90742,x90743,x90741,x90744)),x90742))+~P104(f331(f331(f333(x90745),x90744),f331(f309(x90741,x90745,x90743),x90742))) % 159.04/158.76 [9235]E(f331(f309(x92351,x92352,x92353),f600(x92354,x92353,x92351,x92355,x92352)),x92355)+~P104(f331(f331(f244(f885(x92352,a871)),x92355),f331(f309(x92351,x92352,x92353),x92354))) % 159.04/158.76 [9490]E(f331(x94901,f712(x94902,x94901,x94903,x94904,x94905)),f331(f236(x94905),x94904))+~P104(f331(f331(f333(x94905),x94904),f186(x94903,x94905,f188(x94903,x94905,x94901,x94902)))) % 159.04/158.76 [9536]P104(f331(f331(f333(f884(f877(x95361),f877(x95361))),f331(f331(f265(f877(x95361),f877(x95361)),f331(f331(f150(x95361),x95362),x95363)),f331(f331(f150(x95361),x95362),x95364))),f306(f877(x95361),f156(x95361,x95365))))+~P104(f331(f331(f333(f884(f877(x95361),f877(x95361))),f331(f331(f265(f877(x95361),f877(x95361)),x95363),x95364)),f306(f877(x95361),f156(x95361,x95365)))) % 159.04/158.76 [9567]~E(f331(x95673,f543(x95675,x95674,x95673,x95672,x95671)),f331(x95675,f543(x95675,x95674,x95673,x95672,x95671)))+E(f331(f331(f153(x95671,x95672),x95673),x95674),f331(f331(f153(x95671,x95672),x95675),x95674)) % 159.04/158.76 [9643]~E(f331(f135(x96431,x96435),x96434),f331(f331(f150(x96431),x96433),x96432))+E(f331(f331(f126(x96431),f733(x96432,x96433,x96434,x96435,x96431)),f331(f331(f150(x96431),x96433),f731(x96432,x96433,x96434,x96435,x96431))),x96434) % 159.04/158.76 [9644]~E(f331(f331(f150(x96441),x96445),x96444),f331(f135(x96441,x96443),x96442))+E(f331(f331(f126(x96441),f730(x96442,x96443,x96444,x96445,x96441)),f331(f331(f150(x96441),x96445),f732(x96442,x96443,x96444,x96445,x96441))),x96442) % 159.04/158.76 [9648]E(f331(f331(f153(x96481,x96482),x96483),x96484),f331(f331(f153(x96481,x96482),x96485),x96484))+P104(f331(f331(f333(x96481),f543(x96483,x96484,x96485,x96482,x96481)),f331(f172(x96481),x96484))) % 159.04/158.76 [9678]~P104(f331(f331(f333(x96785),x96784),f331(f284(x96781,x96785,x96783),x96782)))+P104(f331(f331(f333(x96781),f509(x96782,x96783,x96781,x96784,x96785)),x96782)) % 159.04/158.76 [9679]~P104(f331(f331(f333(x96795),x96794),f331(f284(x96791,x96795,x96793),x96792)))+P104(f331(f331(f333(x96791),f536(x96792,x96793,x96791,x96794,x96795)),x96792)) % 159.04/158.76 [9704]~P104(f331(f331(f244(f885(x97045,a871)),x97044),f331(f309(x97041,x97045,x97043),x97042)))+P104(f331(f331(f244(f885(x97041,a871)),f600(x97042,x97043,x97041,x97044,x97045)),x97042)) % 159.04/158.76 [9755]~P104(f331(f331(f333(x97555),x97554),f186(x97551,x97555,f188(x97551,x97555,x97553,x97552))))+P104(f331(f331(f333(x97551),f712(x97552,x97553,x97551,x97554,x97555)),x97552)) % 159.04/158.76 [10151]E(x101511,f2(a103))+E(f331(f239(f884(f877(x101512),x101513),f884(x101512,x101513),f331(f331(f265(f877(x101512),x101513),f117(x101512)),x101514),f331(f269(x101512,x101513,f884(f877(x101512),x101513)),f331(f331(f7(x101512,f885(x101513,f884(f877(x101512),x101513)),f885(x101513,f884(f877(x101512),x101513))),f331(f331(f8(f885(f884(f877(x101512),x101513),f884(f877(x101512),x101513)),f885(f885(x101513,f884(f877(x101512),x101513)),f885(x101513,f884(f877(x101512),x101513))),x101512),f8(f884(f877(x101512),x101513),f884(f877(x101512),x101513),x101513)),f331(f331(f8(f885(f877(x101512),f885(x101513,f884(f877(x101512),x101513))),f885(f884(f877(x101512),x101513),f884(f877(x101512),x101513)),x101512),f269(f877(x101512),x101513,f884(f877(x101512),x101513))),f331(f331(f8(f885(f877(x101512),f877(x101512)),f885(f877(x101512),f885(x101513,f884(f877(x101512),x101513))),x101512),f331(f8(f877(x101512),f885(x101513,f884(f877(x101512),x101513)),f877(x101512)),f265(f877(x101512),x101513))),f150(x101512))))),f331(f121(x101513,x101512,x101515),f331(f331(f22(a103),x101511),f78(a103)))))),f331(x101515,x101514)),f331(f331(f121(x101513,x101512,x101515),x101511),x101514)) % 159.04/158.76 [5453]~E(f331(x54533,x54534),x54535)+E(f331(f331(f331(f72(x54531,x54532),x54533),x54534),x54535),x54533) % 159.04/158.76 [5896]E(f331(x58961,x58962),x58963)+~E(f331(f331(f331(f72(x58964,x58965),x58961),x58962),x58963),x58961) % 159.04/158.76 [5992]E(x59921,x59922)+~E(f331(f268(x59923,x59924),f331(f331(f265(x59923,x59924),x59925),x59921)),x59922) % 159.04/158.76 [5993]E(x59931,x59932)+~E(f331(f264(x59933,x59934),f331(f331(f265(x59933,x59934),x59931),x59935)),x59932) % 159.04/158.76 [6257]~E(x62573,f331(f331(f126(x62571),x62574),f331(f331(f150(x62571),x62572),x62575)))+P104(f331(f331(f333(x62571),x62572),f331(f172(x62571),x62573))) % 159.04/158.76 [6646]E(f331(f309(x66461,x66462,f331(f16(x66462,x66461),x66463)),x66464),f331(f331(f308(x66462),x66463),f194(f885(x66462,a871))))+~P104(f331(f331(f333(x66461),x66465),x66464)) % 159.04/158.76 [6717]E(f331(f331(f114(f885(x67171,a871)),f331(f172(x67171),x67172)),f331(f172(x67171),x67173)),f331(f172(x67171),x67174))+~E(f166(x67171,x67175,x67174),f331(f331(f265(f877(x67171),f877(x67171)),x67172),x67173)) % 159.04/158.76 [6819]~P107(x68192)+E(f331(f195(f877(x68191)),f331(f331(f147(x68191,x68192,x68193),x68194),x68195)),f331(a116,f331(f195(f877(x68191)),x68195))) % 159.04/158.76 [6831]~P107(x68312)+E(f331(f172(x68311),f331(f331(f147(x68311,x68312,x68313),x68314),x68315)),f331(f331(f308(x68311),x68314),f331(f172(x68311),x68315))) % 159.04/158.76 [7105]~P114(x71051)+E(f331(f331(f81(x71051),f331(f331(f81(x71051),x71052),x71053)),f331(f331(f81(x71051),x71054),x71055)),f331(f331(f81(x71051),f331(f331(f81(x71051),x71052),x71054)),f331(f331(f81(x71051),x71053),x71055))) % 159.04/158.76 [7106]~P114(x71061)+E(f331(f331(f80(x71061),f331(f331(f80(x71061),x71062),x71063)),f331(f331(f80(x71061),x71064),x71065)),f331(f331(f80(x71061),f331(f331(f80(x71061),x71062),x71064)),f331(f331(f80(x71061),x71063),x71065))) % 159.04/158.76 [7107]~P59(x71071)+E(f331(f331(f288(x71071),f331(f331(f81(x71071),x71072),x71073)),f331(f331(f81(x71071),x71074),x71075)),f331(f331(f81(x71071),f331(f331(f288(x71071),x71072),x71074)),f331(f331(f288(x71071),x71073),x71075))) % 159.04/158.76 [7121]~P107(x71211)+E(f304(x71211,f331(f331(f243(x71211),x71212),x71213),f331(f331(f242(x71211),x71214),x71215)),f331(f331(f105(f885(x71211,a871)),f304(x71211,x71212,x71214)),f304(x71211,x71213,x71215))) % 159.04/158.76 [7122]~P107(x71221)+E(f303(x71221,f331(f331(f243(x71221),x71222),x71223),f331(f331(f242(x71221),x71224),x71225)),f331(f331(f105(f885(x71221,a871)),f303(x71221,x71222,x71224)),f303(x71221,x71223,x71225))) % 159.04/158.76 [7123]~P107(x71231)+E(f301(x71231,f331(f331(f243(x71231),x71232),x71233),f331(f331(f242(x71231),x71234),x71235)),f331(f331(f105(f885(x71231,a871)),f301(x71231,x71232,x71234)),f301(x71231,x71233,x71235))) % 159.04/158.76 [7124]~P107(x71241)+E(f331(f331(f105(f885(x71241,a871)),f331(f300(x71241,x71242),x71243)),f331(f300(x71241,x71244),x71245)),f331(f300(x71241,f331(f331(f243(x71241),x71242),x71244)),f331(f331(f242(x71241),x71243),x71245))) % 159.04/158.76 [7239]~P104(f331(x72391,f507(x72393,x72392,x72391)))+P104(f331(x72391,f331(f331(f265(x72392,x72393),x72394),x72395))) % 159.04/158.76 [7326]~E(f331(x73263,x73264),f197(x73262))+E(f186(x73261,x73262,f331(f331(f331(f72(x73261,f880(x73262)),x73263),x73264),f331(f236(x73262),x73265))),f331(f331(f308(x73262),x73265),f186(x73261,x73262,x73263))) % 159.04/158.76 [7347]~E(x73472,f331(x73474,x73475))+P104(f331(f331(f333(x73471),x73472),f331(f309(x73473,x73471,x73474),f253(f885(x73473,a871))))) % 159.04/158.76 [7405]~E(f331(x74053,x74054),f197(x74052))+E(f331(f331(f22(f885(x74051,a871)),f184(x74051,x74052,x74053)),f331(f331(f308(x74051),x74054),x74055)),f331(f331(f22(f885(x74051,a871)),f184(x74051,x74052,x74053)),x74055)) % 159.04/158.76 [7424]~P11(x74243,x74242,x74244)+P11(x74241,x74242,f331(f331(f8(x74243,f885(x74242,x74242),x74241),x74244),x74245)) % 159.04/158.76 [7425]~P12(x74253,x74252,x74254)+P12(x74251,x74252,f331(f331(f8(x74253,f885(x74252,x74252),x74251),x74254),x74255)) % 159.04/158.76 [7567]~P21(x75671,x75672,x75673,x75674)+P21(x75671,x75672,x75673,f331(f331(f22(f885(x75671,a871)),x75674),x75675)) % 159.04/158.76 [7724]~P104(f331(f331(x77243,x77244),x77245))+P104(f331(f331(f269(x77241,x77242,a871),x77243),f331(f331(f265(x77241,x77242),x77244),x77245))) % 159.04/158.76 [7834]~P104(f331(x78342,x78344))+~E(f331(f331(f137(x78341),f331(f195(f877(x78341)),f177(x78341,x78342,x78343))),x78343),f331(f331(f150(x78341),x78344),x78345)) % 159.04/158.76 [7854]P21(x78541,x78542,x78543,x78544)+~P21(x78541,x78542,x78543,f331(f331(f114(f885(x78541,a871)),x78545),x78544)) % 159.04/158.76 [7855]P21(x78551,x78552,x78553,x78554)+~P21(x78551,x78552,x78553,f331(f331(f114(f885(x78551,a871)),x78554),x78555)) % 159.04/158.76 [7902]~P107(x79022)+E(f331(f331(f147(x79021,x79022,x79023),x79024),f149(x79021,x79022,x79023,x79025)),f149(x79021,x79022,x79023,f331(f331(f150(x79021),x79024),x79025))) % 159.04/158.76 [8066]~P31(x80661,f331(a116,x80662),f331(f331(f331(f92(x80661),x80663),f331(a28,x80664)),x80665))+P31(x80661,x80662,f331(f331(f331(f92(x80661),x80663),f331(f241(a873),f331(a26,x80664))),x80665)) % 159.04/158.76 [8200]P31(x82001,f331(a116,x82002),f331(f331(f331(f92(x82001),x82003),f331(a28,x82004)),x82005))+~P31(x82001,x82002,f331(f331(f331(f92(x82001),x82003),f331(f241(a873),f331(a26,x82004))),x82005)) % 159.04/158.76 [8229]~P11(x82292,x82291,x82293)+E(f331(f141(x82291,x82292,f331(f7(x82292,x82291,x82291),x82293),x82294),x82295),f331(f331(f65(x82292,x82291,x82293),x82294),f331(f172(x82292),x82295))) % 159.04/158.76 [8258]~E(f331(f331(f137(x82581),f331(f195(f877(x82581)),f177(x82581,x82582,x82583))),x82583),f331(f331(f150(x82581),x82584),x82585))+E(f331(f331(f126(x82581),f177(x82581,x82582,x82583)),f331(f331(f150(x82581),x82584),x82585)),x82583) % 159.04/158.76 [8282]P104(f331(f331(x82821,x82822),x82823))+~P104(f331(f331(f269(x82824,x82825,a871),x82821),f331(f331(f265(x82824,x82825),x82822),x82823))) % 159.04/158.76 [8345]~E(f331(f331(f178(x83451,x83452),x83455),x83453),f331(f236(x83452),x83454))+P104(f331(f331(f333(f884(x83451,x83452)),f331(f331(f265(x83451,x83452),x83453),x83454)),f331(f172(f884(x83451,x83452)),x83455))) % 159.04/158.76 [8747]P104(f331(f331(f244(f885(x87471,a871)),f331(f309(x87472,x87471,x87473),x87474)),f331(f309(x87472,x87471,x87473),x87475)))+~P104(f331(f331(f244(f885(x87472,a871)),x87474),x87475)) % 159.04/158.76 [8748]P104(f331(f331(f244(f885(x87481,a871)),f331(f310(x87481,x87482,x87483),x87484)),f331(f310(x87481,x87482,x87483),x87485)))+~P104(f331(f331(f244(f885(x87482,a871)),x87484),x87485)) % 159.04/158.76 [8824]E(x88241,f2(a103))+E(f331(f331(f271(x88242,x88243,x88242,f884(x88243,x88242)),f331(x88244,x88245)),f279(x88243,x88242,f331(f331(f22(a103),x88241),f78(a103)),x88244)),f331(f279(x88243,x88242,x88241,x88244),x88245)) % 159.04/158.76 [9144]P31(x91441,x91442,f331(f331(f331(f92(x91441),x91443),x91444),x91445))+P104(f331(f331(x91443,f477(x91445,x91444,x91443,x91442)),f480(x91445,x91444,x91443,x91442))) % 159.04/158.76 [9346]E(f331(f236(x93461),f542(x93462,x93463,x93464,x93461,x93465)),f331(f331(f178(x93465,x93461),x93462),x93464))+~P104(f331(f331(f333(f884(x93465,x93461)),f331(f331(f265(x93465,x93461),x93464),x93463)),f331(f172(f884(x93465,x93461)),x93462))) % 159.04/158.76 [9391]P31(x93911,x93912,f331(f331(f331(f92(x93911),x93913),x93914),x93915))+~P104(f331(f331(x93915,f477(x93915,x93914,x93913,x93912)),f481(x93915,x93914,x93913,x93912))) % 159.04/158.76 [9450]P31(x94501,x94502,f331(f331(f331(f92(x94501),x94503),x94504),x94505))+P104(f331(f331(f331(f331(a203,x94504),f480(x94505,x94504,x94503,x94502)),x94502),f481(x94505,x94504,x94503,x94502))) % 159.04/158.76 [9453]~P20(x94531,x94532,f331(f331(f308(f875(x94531)),f331(f331(f331(f92(x94531),x94533),f331(f241(a873),f331(a26,x94534))),x94535)),f194(f885(f875(x94531),a871))))+P20(x94531,x94532,f331(f331(f308(f875(x94531)),f331(f331(f331(f92(x94531),x94533),f331(a28,x94534)),x94535)),f194(f885(f875(x94531),a871)))) % 159.04/158.76 [9481]~P104(f331(f62(x94813),f331(f309(x94812,x94813,x94815),f253(f885(x94812,a871)))))+P104(f331(f62(x94811),f331(f309(x94812,x94811,f331(f331(f8(x94813,x94811,x94812),x94814),x94815)),f253(f885(x94812,a871))))) % 159.04/158.76 [9503]P104(f331(f331(f244(f885(f885(x95031,a871),a871)),f331(f309(f885(x95032,a871),f885(x95031,a871),f309(x95032,x95031,x95033)),f331(f307(x95032),x95034))),f331(f307(x95031),x95035)))+~P104(f331(f331(f244(f885(x95031,a871)),f331(f309(x95032,x95031,x95033),x95034)),x95035)) % 159.04/158.76 [9516]~P104(f331(f62(f880(x95161)),f331(f309(x95162,f880(x95161),x95163),f253(f885(x95162,a871)))))+P104(f331(f62(f880(x95161)),f331(f309(x95162,f880(x95161),f331(f331(f331(f72(x95162,f880(x95161)),x95163),x95164),f331(f236(x95161),x95165))),f253(f885(x95162,a871))))) % 159.04/158.76 [9576]E(x95761,x95762)+~P104(f331(f67(x95763,x95764,x95765,x95761,f194(f885(x95763,a871))),x95762)) % 159.04/158.76 [9591]E(f331(f331(f265(x95911,x95912),f673(x95913,x95914,x95915,x95912,x95911)),f677(x95913,x95914,x95915,x95912,x95911)),x95915)+~P104(f331(f331(f333(f884(x95911,x95912)),x95915),f331(f331(f267(x95911,x95912),x95914),x95913))) % 159.04/158.76 [9683]P104(f331(f331(f333(x96831),f673(x96832,x96833,x96834,x96835,x96831)),x96833))+~P104(f331(f331(f333(f884(x96831,x96835)),x96834),f331(f331(f267(x96831,x96835),x96833),x96832))) % 159.04/158.76 [9791]P20(x97915,x97914,f331(f331(f308(f875(x97915)),f331(f331(f331(f92(x97915),x97911),x97913),x97912)),f194(f885(f875(x97915),a871))))+P104(f331(f331(x97911,f561(x97912,x97913,x97914,x97915,x97911)),f676(x97912,x97913,x97914,x97915,x97911))) % 159.04/158.76 [9842]P104(f331(f331(f333(x98421),f677(x98422,x98423,x98424,x98421,x98425)),f331(x98422,f673(x98422,x98423,x98424,x98421,x98425))))+~P104(f331(f331(f333(f884(x98425,x98421)),x98424),f331(f331(f267(x98425,x98421),x98423),x98422))) % 159.04/158.76 [9870]P104(f331(f331(f333(f884(x98701,x98701)),f331(f331(f265(x98701,x98701),x98702),f771(x98703,x98704,x98705,x98702,x98701))),x98703))+~P104(f331(f331(f333(f884(x98701,x98701)),f331(f331(f265(x98701,x98701),x98702),x98705)),f331(f331(f189(f884(x98701,x98701),a871),f331(a116,x98704)),x98703))) % 159.04/158.76 [9871]P104(f331(f331(f333(f884(x98711,x98711)),f331(f331(f265(x98711,x98711),x98712),f773(x98713,x98714,x98715,x98712,x98711))),x98713))+~P104(f331(f331(f333(f884(x98711,x98711)),f331(f331(f265(x98711,x98711),x98712),x98715)),f331(f331(f189(f884(x98711,x98711),a871),f331(a116,x98714)),x98713))) % 159.04/158.76 [9889]~P104(f331(f331(f333(f884(f877(x98891),f877(x98891))),f331(f331(f265(f877(x98891),f877(x98891)),f331(f331(f150(x98891),x98892),x98895)),x98894)),f157(x98891,x98893)))+P104(f331(f331(f333(f884(x98891,x98891)),f331(f331(f265(x98891,x98891),x98892),f577(x98893,x98894,x98895,x98892,x98891))),x98893)) % 159.04/158.76 [9891]~P20(x98911,x98912,f331(f331(f308(f875(x98911)),f331(f331(f331(f92(x98911),f95(x98911,x98913,x98914)),x98915),x98913)),f194(f885(f875(x98911),a871))))+P20(x98911,x98912,f331(f331(f308(f875(x98911)),f331(f331(f331(f92(x98911),x98913),f32(x98914,x98915)),f95(x98911,x98913,f331(f73(a871,a871,a872,a326),x98914)))),f194(f885(f875(x98911),a871)))) % 159.04/158.76 [9892]~P23(x98921,x98922,f331(f331(f308(f875(x98921)),f331(f331(f331(f92(x98921),f95(x98921,x98923,x98924)),x98925),x98923)),f194(f885(f875(x98921),a871))))+P23(x98921,x98922,f331(f331(f308(f875(x98921)),f331(f331(f331(f92(x98921),x98923),f32(x98924,x98925)),f95(x98921,x98923,f331(f73(a871,a871,a872,a326),x98924)))),f194(f885(f875(x98921),a871)))) % 159.04/158.76 [10152]P20(x101521,x101522,f331(f331(f308(f875(x101521)),f331(f331(f331(f92(x101521),x101523),x101524),x101525)),f194(f885(f875(x101521),a871))))+~P20(x101521,x101522,f331(f331(f308(f875(x101521)),f331(f331(f331(f92(x101521),f331(f16(f885(a872,a871),x101521),f331(f331(f7(a872,a872,a871),a328),f676(x101525,x101524,x101522,x101521,x101523)))),x101524),f331(f16(f885(a872,a871),x101521),f331(x101525,f561(x101525,x101524,x101522,x101521,x101523))))),f194(f885(f875(x101521),a871)))) % 159.04/158.76 [6331]P104(f331(x63312,x63314))+E(f177(x63311,x63312,f331(f331(f126(x63311),x63313),f331(f331(f150(x63311),x63314),x63315))),f177(x63311,x63312,x63313)) % 159.04/158.76 [6378]~P63(x63782)+E(f331(f331(f331(f22(f885(x63781,x63782)),x63783),x63784),x63785),f331(f331(f22(x63782),f331(x63783,x63785)),f331(x63784,x63785))) % 159.04/158.76 [6380]~P75(x63802)+E(f331(f331(f331(f114(f885(x63801,x63802)),x63803),x63804),x63805),f331(f331(f114(x63802),f331(x63803,x63805)),f331(x63804,x63805))) % 159.04/158.76 [6382]~P75(x63822)+E(f331(f331(f331(f105(f885(x63821,x63822)),x63823),x63824),x63825),f331(f331(f105(x63822),f331(x63823,x63825)),f331(x63824,x63825))) % 159.04/158.76 [6400]E(x64001,x64002)+E(f331(f331(f164(x64003),f331(f331(f158(x64003,x64004),x64001),x64005)),x64002),f331(f331(f164(x64003),x64004),x64002)) % 159.04/158.76 [6665]~E(x66654,f194(f885(x66653,a871)))+E(f331(f331(f22(f885(x66651,a871)),x66652),f331(f331(f42(x66653,f885(x66651,a871)),x66654),x66655)),x66652) % 159.04/158.76 [6666]~E(x66664,f194(f885(x66663,a871)))+E(f331(f331(f114(f885(x66661,a871)),x66662),f331(f331(f42(x66663,f885(x66661,a871)),x66664),x66665)),x66662) % 159.04/158.76 [6667]~E(x66674,f194(f885(x66673,a871)))+E(f331(f331(f105(f885(x66671,a871)),x66672),f331(f331(f43(x66673,f885(x66671,a871)),x66674),x66675)),x66672) % 159.04/158.76 [6681]~E(x66814,f194(f885(x66813,a871)))+E(f331(f331(f308(x66811),x66812),f331(f331(f42(x66813,f885(x66811,a871)),x66814),x66815)),f331(f331(f308(x66811),x66812),f194(f885(x66811,a871)))) % 159.04/158.76 [7473]E(f331(f331(f164(x74731),f331(f331(f153(x74732,x74731),x74733),x74734)),x74735),f331(x74733,f331(f331(f164(x74732),x74734),x74735)))+~P104(f331(f331(f245(a876),x74735),f331(f195(f877(x74732)),x74734))) % 159.04/158.76 [7539]E(f331(f331(f114(f885(x75391,a871)),f331(x75392,x75393)),f331(f331(f42(x75394,f885(x75391,a871)),x75395),x75392)),f331(f331(f42(x75394,f885(x75391,a871)),x75395),x75392))+~P104(f331(f331(f333(x75394),x75393),x75395)) % 159.04/158.76 [7540]E(f331(f331(f105(f885(x75401,a871)),f331(x75402,x75403)),f331(f331(f43(x75404,f885(x75401,a871)),x75405),x75402)),f331(f331(f43(x75404,f885(x75401,a871)),x75405),x75402))+~P104(f331(f331(f333(x75404),x75403),x75405)) % 159.04/158.76 [8145]~E(x81453,f194(f885(x81451,a871)))+E(f331(f331(f42(x81451,f885(x81452,a871)),x81453),f331(f331(f8(f885(x81452,a871),f885(x81452,a871),x81451),f331(f308(x81452),x81454)),x81455)),f194(f885(x81452,a871))) % 159.04/158.76 [8151]~P104(f331(f331(f333(x81514),x81513),x81515))+P104(f331(f331(f244(f885(x81511,a871)),f331(x81512,x81513)),f331(f331(f42(x81514,f885(x81511,a871)),x81515),x81512))) % 159.04/158.76 [8281]~E(f331(x82814,x82812),x82815)+P104(f331(f331(f333(x82811),x82812),f331(f310(x82811,x82813,x82814),f331(f331(f308(x82813),x82815),f194(f885(x82813,a871)))))) % 159.04/158.76 [8327]~P52(x83271,x83272,f331(f285(x83272,x83271),x83273))+E(f331(f331(f105(f885(x83271,a871)),f331(f284(x83272,x83271,x83273),x83274)),f331(f284(x83272,x83271,x83273),x83275)),f331(f284(x83272,x83271,x83273),f331(f331(f105(f885(x83272,a871)),x83274),x83275))) % 159.04/158.76 [8404]E(x84041,f2(a103))+E(f331(f122(x84042,x84043,f331(x84044,f331(f331(f22(a103),x84041),f78(a103)))),f331(f331(f7(x84042,a103,f878(x84043)),x84045),x84041)),f331(f207(x84042,x84043,x84044,x84045),x84041)) % 159.04/158.76 [8447]E(x84471,f194(f885(x84472,a871)))+E(f331(f331(f42(x84472,f885(x84473,a871)),x84471),f331(f331(f8(f885(x84473,a871),f885(x84473,a871),x84472),f331(f308(x84473),x84474)),x84475)),f331(f331(f308(x84473),x84474),f331(f331(f42(x84472,f885(x84473,a871)),x84471),x84475))) % 159.04/158.76 [8502]~P21(x85022,x85021,x85023,f253(f885(x85022,a871)))+E(f331(f331(f22(f885(x85021,a871)),f331(f309(x85022,x85021,x85023),x85024)),f331(f309(x85022,x85021,x85023),x85025)),f331(f309(x85022,x85021,x85023),f331(f331(f22(f885(x85022,a871)),x85024),x85025))) % 159.04/158.76 [8503]~P21(x85032,x85031,x85033,f253(f885(x85032,a871)))+E(f331(f331(f105(f885(x85031,a871)),f331(f309(x85032,x85031,x85033),x85034)),f331(f309(x85032,x85031,x85033),x85035)),f331(f309(x85032,x85031,x85033),f331(f331(f105(f885(x85032,a871)),x85034),x85035))) % 159.04/158.76 [8567]~P104(f331(f331(f68(x85671,x85672,x85675),x85673),x85674))+P104(f331(f331(f333(f884(x85671,x85672)),f331(f331(f265(x85671,x85672),x85673),x85674)),x85675)) % 159.04/158.76 [8599]P104(f331(f331(f333(x85991),x85992),f331(f261(x85993,x85991),x85994)))+~P104(f331(f331(f333(f884(x85993,x85991)),f331(f331(f265(x85993,x85991),x85995),x85992)),x85994)) % 159.04/158.76 [8601]P104(f331(f331(f333(x86011),x86012),f331(f263(x86011,x86013),x86014)))+~P104(f331(f331(f333(f884(x86011,x86013)),f331(f331(f265(x86011,x86013),x86012),x86015)),x86014)) % 159.04/158.76 [8734]P104(f331(f331(f68(x87341,x87342,x87343),x87344),x87345))+~P104(f331(f331(f333(f884(x87341,x87342)),f331(f331(f265(x87341,x87342),x87344),x87345)),x87343)) % 159.04/158.76 [8769]E(f331(x87691,x87692),x87693)+~P104(f331(f331(f333(x87694),x87692),f331(f310(x87694,x87695,x87691),f331(f331(f308(x87695),x87693),f194(f885(x87695,a871)))))) % 159.04/158.76 [9003]P104(f331(f331(f333(f884(x90031,x90032)),f331(f331(f265(x90031,x90032),x90033),x90034)),f331(f285(x90032,x90031),x90035)))+~P104(f331(f331(f333(f884(x90032,x90031)),f331(f331(f265(x90032,x90031),x90034),x90033)),x90035)) % 159.04/158.76 [9021]~P104(f331(f331(x90211,x90215),x90214))+P104(f331(f331(x90211,f331(f268(x90212,x90213),f331(f331(f265(x90212,x90213),x90214),x90215))),f331(f264(x90212,x90213),f331(f331(f265(x90212,x90213),x90214),x90215)))) % 159.04/158.76 [9051]~P104(f331(f331(f333(f884(x90512,x90511)),f331(f331(f265(x90512,x90511),x90514),x90513)),f331(f285(x90511,x90512),x90515)))+P104(f331(f331(f333(f884(x90511,x90512)),f331(f331(f265(x90511,x90512),x90513),x90514)),x90515)) % 159.04/158.76 [9081]~P104(f331(f331(f333(f884(x90813,x90811)),f331(f331(f265(x90813,x90811),x90815),x90812)),x90814))+P104(f331(f331(f333(x90811),x90812),f331(f284(x90813,x90811,x90814),f331(f331(f308(x90813),x90815),f194(f885(x90813,a871)))))) % 159.04/158.76 [9126]P104(f331(f331(f333(f884(x91261,x91262)),f331(f331(f265(x91261,x91262),x91263),x91264)),x91265))+~P104(f331(f331(f333(x91262),x91264),f331(f284(x91261,x91262,x91265),f331(f331(f308(x91261),x91263),f194(f885(x91261,a871)))))) % 159.04/158.76 [9147]E(f331(f331(f331(f72(x91471,f880(x91472)),f188(x91471,x91472,x91473,x91474)),x91475),f197(x91472)),f188(x91471,x91472,x91473,f331(f331(f22(f885(x91471,a871)),x91474),f331(f331(f308(x91471),x91475),f194(f885(x91471,a871))))))+~P104(f331(f331(f333(x91471),x91475),x91474)) % 159.04/158.76 [9215]~P69(x92151)+E(f331(f331(f6(a876,x92151),x92152),f301(a876,f331(f331(f80(a876),x92153),x92154),f331(f331(f80(a876),x92155),x92154))),f331(f331(f6(a876,x92151),f331(f331(f8(a876,x92151,a876),x92152),f331(f331(f7(a876,a876,a876),f80(a876)),x92154))),f301(a876,x92153,x92155))) % 159.04/158.76 [9239]~P69(x92391)+E(f331(f331(f6(a876,x92391),x92392),f331(f300(a876,f331(f331(f80(a876),x92393),x92394)),f331(f331(f80(a876),x92395),x92394))),f331(f331(f6(a876,x92391),f331(f331(f8(a876,x92391,a876),x92392),f331(f331(f7(a876,a876,a876),f80(a876)),x92394))),f331(f300(a876,x92393),x92395))) % 159.04/158.76 [9294]~P21(x92941,x92942,x92943,f253(f885(x92941,a871)))+E(f331(f331(f153(x92941,x92942),x92943),f331(f135(x92941,f331(f331(f8(a871,a871,x92941),a326),f331(a328,x92944))),x92945)),f331(f135(x92942,f331(f331(f8(a871,a871,x92942),a326),f331(a328,f331(x92943,x92944)))),f331(f331(f153(x92941,x92942),x92943),x92945))) % 159.04/158.76 [9312]~P21(x93121,x93122,x93123,f331(f331(f308(x93121),x93124),f331(f172(x93121),x93125)))+E(f331(f331(f153(x93121,x93122),x93123),f331(f135(x93121,f331(f331(f8(a871,a871,x93121),a326),f331(a328,x93124))),x93125)),f331(f135(x93122,f331(f331(f8(a871,a871,x93122),a326),f331(a328,f331(x93123,x93124)))),f331(f331(f153(x93121,x93122),x93123),x93125))) % 159.04/158.76 [9468]P104(f331(f331(f333(f884(f877(x94681),f877(x94681))),f331(f331(f265(f877(x94681),f877(x94681)),f331(f331(f150(x94681),x94682),x94683)),f331(f331(f150(x94681),x94684),x94683))),f156(x94681,x94685)))+~P104(f331(f331(f333(f884(x94681,x94681)),f331(f331(f265(x94681,x94681),x94682),x94684)),x94685)) % 159.04/158.76 [9504]P104(f331(f331(f331(f331(a203,x95041),x95042),x95043),f478(x95044,x95043,x95042,x95045,x95041)))+~P104(f331(f331(f331(f331(a203,f33(x95041,x95045)),x95042),x95043),x95044)) % 159.04/158.76 [9574]P20(x95741,x95742,f331(f331(f308(f875(x95741)),f331(f331(f331(f92(x95741),x95743),f331(a28,x95744)),x95745)),f194(f885(f875(x95741),a871))))+~P20(x95741,f331(f331(f308(f875(x95741)),f331(f331(f331(f92(x95741),x95743),f331(a28,x95744)),x95745)),x95742),f331(f331(f308(f875(x95741)),f331(f331(f331(f92(x95741),x95743),f331(f241(a873),f331(a26,x95744))),x95745)),f194(f885(f875(x95741),a871)))) % 159.04/158.76 [9586]E(f331(f331(f308(x95861),f795(x95862,x95863,x95864,x95865,x95861)),f803(x95862,x95863,x95864,x95865,x95861)),f331(f331(f308(x95861),x95864),x95863))+~P104(f331(f63(x95861,x95865,f331(f331(f308(x95861),x95864),x95863)),x95862)) % 159.04/158.76 [9587]E(f331(f331(f308(x95871),f815(x95872,x95873,x95874,x95875,x95871)),f825(x95872,x95873,x95874,x95875,x95871)),f331(f331(f308(x95871),x95874),x95873))+~P104(f331(f63(x95871,x95875,f331(f331(f308(x95871),x95874),x95873)),x95872)) % 159.04/158.76 [9669]P104(f331(f331(f333(x96691),f618(x96692,x96693,x96694,x96695,x96691)),x96694))+P104(f331(f331(f331(f43(x96691,f885(x96695,a871)),x96694),x96693),x96692)) % 159.04/158.76 [9674]P104(f331(f331(f333(x96741),f613(x96742,x96743,x96741,x96744,x96745)),x96743))+P104(f331(f331(f333(x96745),x96744),f331(f331(f43(x96741,f885(x96745,a871)),x96743),x96742))) % 159.04/158.76 [9682]P104(f331(f331(f333(x96821),f619(x96822,x96823,x96821,x96824,x96825)),x96823))+P104(f331(f331(f244(f885(x96825,a871)),x96824),f331(f331(f43(x96821,f885(x96825,a871)),x96823),x96822))) % 159.04/158.76 [9684]P104(f331(f331(x96841,f488(x96842,x96841,x96843,x96844,x96845)),x96842))+~P104(f331(f331(f331(f42(x96845,f885(x96844,a871)),x96843),x96841),x96842)) % 159.04/158.76 [9687]P104(f331(f331(f333(x96871),f488(x96872,x96873,x96874,x96875,x96871)),x96874))+~P104(f331(f331(f331(f42(x96871,f885(x96875,a871)),x96874),x96873),x96872)) % 159.04/158.76 [9697]P104(f331(f331(f333(x96971),f493(x96972,x96973,x96971,x96974,x96975)),x96973))+~P104(f331(f331(f333(x96975),x96974),f331(f331(f42(x96971,f885(x96975,a871)),x96973),x96972))) % 159.04/158.76 [9702]P104(f331(f331(f333(x97021),x97022),f331(x97023,f493(x97023,x97024,x97025,x97022,x97021))))+~P104(f331(f331(f333(x97021),x97022),f331(f331(f42(x97025,f885(x97021,a871)),x97024),x97023))) % 159.04/158.76 [9796]~P104(f331(f331(x97964,f618(x97965,x97964,x97963,x97962,x97961)),x97965))+P104(f331(f331(f331(f43(x97961,f885(x97962,a871)),x97963),x97964),x97965)) % 159.04/158.76 [9799]~P104(f331(f331(f333(x97991),x97992),f331(x97995,f613(x97995,x97994,x97993,x97992,x97991))))+P104(f331(f331(f333(x97991),x97992),f331(f331(f43(x97993,f885(x97991,a871)),x97994),x97995))) % 159.04/158.76 [9803]~P104(f331(f331(f244(f885(x98031,a871)),x98032),f331(x98035,f619(x98035,x98034,x98033,x98032,x98031))))+P104(f331(f331(f244(f885(x98031,a871)),x98032),f331(f331(f43(x98033,f885(x98031,a871)),x98034),x98035))) % 159.04/158.76 [9848]P104(f331(f331(f331(f331(a203,x98481),f478(x98482,x98483,x98484,x98481,x98485)),x98483),x98482))+~P104(f331(f331(f331(f331(a203,f33(x98485,x98481)),x98484),x98483),x98482)) % 159.04/158.76 [9874]~P104(f331(f331(f333(x98741),f795(x98745,x98744,x98743,x98742,x98741)),f803(x98745,x98744,x98743,x98742,x98741)))+~P104(f331(f63(x98741,x98742,f331(f331(f308(x98741),x98743),x98744)),x98745)) % 159.04/158.76 [9875]~P104(f331(f331(f333(x98751),f815(x98755,x98754,x98753,x98752,x98751)),f825(x98755,x98754,x98753,x98752,x98751)))+~P104(f331(f63(x98751,x98752,f331(f331(f308(x98751),x98753),x98754)),x98755)) % 159.04/158.76 [9876]~P104(f331(f331(f333(f884(x98761,x98761)),f331(f331(f265(x98761,x98761),x98762),x98765)),f331(f331(f189(f884(x98761,x98761),a871),f331(a116,x98764)),x98763)))+P104(f331(f331(f333(f884(x98761,x98761)),f331(f331(f265(x98761,x98761),x98762),f772(x98763,x98764,x98765,x98762,x98761))),f331(f331(f189(f884(x98761,x98761),a871),x98764),x98763))) % 159.04/158.76 [9883]P104(f331(f67(x98831,x98831,x98832,f795(x98833,x98834,x98835,x98832,x98831),f803(x98833,x98834,x98835,x98832,x98831)),x98833))+~P104(f331(f63(x98831,x98832,f331(f331(f308(x98831),x98835),x98834)),x98833)) % 159.04/158.76 [9884]P104(f331(f67(x98841,x98841,x98842,f815(x98843,x98844,x98845,x98842,x98841),f825(x98843,x98844,x98845,x98842,x98841)),x98843))+~P104(f331(f63(x98841,x98842,f331(f331(f308(x98841),x98845),x98844)),x98843)) % 159.04/158.76 [9896]~P107(x98961)+P30(x98961,f331(f331(f153(x98962,x98961),x98963),f331(f135(x98962,f331(f331(f7(x98962,x98961,a871),f331(f331(f8(x98961,f885(x98961,a871),x98962),a328),x98963)),f331(x98964,x98965))),x98965))) % 159.04/158.76 [9936]~P104(f331(f331(f333(x99362),x99365),f331(f284(x99361,x99362,x99364),x99363)))+P104(f331(f331(f333(f884(x99361,x99362)),f331(f331(f265(x99361,x99362),f509(x99363,x99364,x99361,x99365,x99362)),x99365)),x99364)) % 159.04/158.76 [9937]~P104(f331(f331(f333(x99372),x99375),f331(f284(x99371,x99372,x99374),x99373)))+P104(f331(f331(f333(f884(x99371,x99372)),f331(f331(f265(x99371,x99372),f536(x99373,x99374,x99371,x99375,x99372)),x99375)),x99374)) % 159.04/158.76 [9957]~P104(f331(f331(f333(f884(x99571,x99571)),f331(f331(f265(x99571,x99571),x99575),x99574)),f331(f331(f189(f884(x99571,x99571),a871),f331(a116,x99573)),x99572)))+P104(f331(f331(f333(f884(x99571,x99571)),f331(f331(f265(x99571,x99571),f772(x99572,x99573,x99574,x99575,x99571)),x99574)),x99572)) % 159.04/158.76 [9960]~P104(f331(f331(f333(f884(x99601,x99601)),f331(f331(f265(x99601,x99601),x99605),x99604)),f331(f331(f189(f884(x99601,x99601),a871),f331(a116,x99603)),x99602)))+P104(f331(f331(f333(f884(x99601,x99601)),f331(f331(f265(x99601,x99601),f771(x99602,x99603,x99604,x99605,x99601)),x99604)),f331(f331(f189(f884(x99601,x99601),a871),x99603),x99602))) % 159.04/158.76 [9961]~P104(f331(f331(f333(f884(x99611,x99611)),f331(f331(f265(x99611,x99611),x99615),x99614)),f331(f331(f189(f884(x99611,x99611),a871),f331(a116,x99613)),x99612)))+P104(f331(f331(f333(f884(x99611,x99611)),f331(f331(f265(x99611,x99611),f773(x99612,x99613,x99614,x99615,x99611)),x99614)),f331(f331(f189(f884(x99611,x99611),a871),x99613),x99612))) % 159.04/158.76 [9962]~P104(f331(f331(f333(f884(f877(x99621),f877(x99621))),f331(f331(f265(f877(x99621),f877(x99621)),x99625),f331(f331(f150(x99621),x99624),x99623))),f157(x99621,x99622)))+P104(f331(f331(f333(f884(x99621,x99621)),f331(f331(f265(x99621,x99621),f576(x99622,x99623,x99624,x99625,x99621)),x99624)),x99622)) % 159.04/158.76 [7067]E(x70671,f197(x70672))+E(f184(x70673,x70672,f331(f331(f331(f72(x70673,f880(x70672)),x70674),x70675),x70671)),f331(f331(f308(x70673),x70675),f184(x70673,x70672,x70674))) % 159.04/158.76 [7560]~E(x75603,f194(f885(x75602,a871)))+E(f331(f331(f114(f885(x75601,a871)),f331(f331(f42(x75602,f885(x75601,a871)),x75603),x75604)),x75605),x75605) % 159.04/158.76 [7561]~E(x75613,f194(f885(x75612,a871)))+E(f331(f331(f105(f885(x75611,a871)),f331(f331(f43(x75612,f885(x75611,a871)),x75613),x75614)),x75615),x75615) % 159.04/158.76 [7917]~E(x79175,f197(x79172))+E(f184(x79171,x79172,f331(f331(f331(f72(x79171,f880(x79172)),x79173),x79174),x79175)),f331(f331(f22(f885(x79171,a871)),f184(x79171,x79172,x79173)),f331(f331(f308(x79171),x79174),f194(f885(x79171,a871))))) % 159.04/158.76 [7986]~E(x79863,f194(f885(x79862,a871)))+E(f331(f331(f22(f885(x79861,a871)),f331(f331(f43(x79862,f885(x79861,a871)),x79863),x79864)),x79865),f331(f331(f22(f885(x79861,a871)),f253(f885(x79861,a871))),x79865)) % 159.04/158.76 [8117]E(f331(f331(f158(x81171,f331(f331(f126(x81171),x81172),x81173)),x81174),x81175),f331(f331(f126(x81171),f331(f331(f158(x81171,x81172),x81174),x81175)),x81173))+~P104(f331(f331(f245(a876),x81174),f331(f195(f877(x81171)),x81172))) % 159.04/158.76 [8233]P104(f331(f331(f333(x82331),x82335),f331(f172(x82331),x82333)))+E(f331(f331(f178(x82331,x82332),f331(f331(f182(x82331,x82332),x82333),f331(f331(f153(x82331,x82332),x82334),x82333))),x82335),f197(x82332)) % 159.04/158.76 [8354]~P104(f331(f331(f333(x83541),x83545),f331(f172(x83541),x83543)))+E(f331(f331(f178(x83541,x83542),f331(f331(f182(x83541,x83542),x83543),f331(f331(f153(x83541,x83542),x83544),x83543))),x83545),f331(f236(x83542),f331(x83544,x83545))) % 159.04/158.76 [8394]E(f331(f331(f164(x83941),f331(f331(f153(a876,x83941),x83942),f138(a876,f331(f300(a876,x83943),x83944)))),x83945),f331(x83942,f331(f331(f80(a876),x83943),x83945)))+~P104(f331(f331(f245(a876),x83945),f331(f331(f22(a876),x83944),x83943))) % 159.04/158.76 [8409]E(x84091,f2(a103))+E(f124(x84092,x84093,f331(x84094,f331(f331(f22(a103),x84091),f78(a103))),f331(f331(f7(x84092,a103,f878(f880(x84093))),x84095),x84091)),f331(f205(x84092,x84093,x84094,x84095),x84091)) % 159.04/158.76 [8434]~E(x84343,f194(f885(x84341,a871)))+E(f331(f331(f42(x84341,f885(x84342,a871)),x84343),f331(f331(f8(f885(x84342,a871),f885(x84342,a871),x84341),f331(f114(f885(x84342,a871)),x84344)),x84345)),f194(f885(x84342,a871))) % 159.04/158.76 [8435]~E(x84353,f194(f885(x84351,a871)))+E(f331(f331(f43(x84351,f885(x84352,a871)),x84353),f331(f331(f8(f885(x84352,a871),f885(x84352,a871),x84351),f331(f22(f885(x84352,a871)),x84354)),x84355)),f253(f885(x84352,a871))) % 159.04/158.76 [8436]~E(x84363,f194(f885(x84361,a871)))+E(f331(f331(f43(x84361,f885(x84362,a871)),x84363),f331(f331(f8(f885(x84362,a871),f885(x84362,a871),x84361),f331(f105(f885(x84362,a871)),x84364)),x84365)),f253(f885(x84362,a871))) % 159.04/158.76 [8441]~P136(x84412)+E(f331(f331(f6(x84411,x84412),f331(f331(f8(x84412,x84412,x84411),f331(f81(x84412),x84413)),x84414)),x84415),f331(f331(f81(x84412),x84413),f331(f331(f6(x84411,x84412),x84414),x84415))) % 159.04/158.76 [8719]E(x87191,f194(f885(x87192,a871)))+E(f331(f331(f42(x87192,f885(x87193,a871)),x87191),f331(f331(f8(f885(x87193,a871),f885(x87193,a871),x87192),f331(f114(f885(x87193,a871)),x87194)),x87195)),f331(f331(f114(f885(x87193,a871)),x87194),f331(f331(f42(x87192,f885(x87193,a871)),x87191),x87195))) % 159.04/158.76 [8720]E(x87201,f194(f885(x87202,a871)))+E(f331(f331(f43(x87202,f885(x87203,a871)),x87201),f331(f331(f8(f885(x87203,a871),f885(x87203,a871),x87202),f331(f22(f885(x87203,a871)),x87204)),x87205)),f331(f331(f22(f885(x87203,a871)),x87204),f331(f331(f42(x87202,f885(x87203,a871)),x87201),x87205))) % 159.04/158.76 [8721]E(x87211,f194(f885(x87212,a871)))+E(f331(f331(f43(x87212,f885(x87213,a871)),x87211),f331(f331(f8(f885(x87213,a871),f885(x87213,a871),x87212),f331(f105(f885(x87213,a871)),x87214)),x87215)),f331(f331(f105(f885(x87213,a871)),x87214),f331(f331(f43(x87212,f885(x87213,a871)),x87211),x87215))) % 159.04/158.76 [8917]~P104(f331(f331(f245(a876),f331(x89174,x89172)),f331(x89174,x89173)))+P104(f331(f331(f333(f884(x89171,x89171)),f331(f331(f265(x89171,x89171),x89172),x89173)),f152(x89171,f331(f331(f150(f885(x89171,a876)),x89174),x89175)))) % 159.04/158.76 [9182]~P21(x91822,x91821,x91823,f331(f331(f114(f885(x91822,a871)),x91824),x91825))+E(f331(f331(f105(f885(x91821,a871)),f331(f309(x91822,x91821,x91823),f331(f331(f22(f885(x91822,a871)),x91824),x91825))),f331(f309(x91822,x91821,x91823),f331(f331(f22(f885(x91822,a871)),x91825),x91824))),f194(f885(x91821,a871))) % 159.04/158.76 [9464]~P104(f331(f331(f244(f885(x94643,a871)),f331(f284(x94641,x94643,x94644),x94642)),x94645))+P104(f331(f331(f244(f885(x94641,a871)),x94642),f331(f79(f885(x94641,a871)),f331(f284(x94643,x94641,f331(f285(x94641,x94643),x94644)),f331(f79(f885(x94643,a871)),x94645))))) % 159.04/158.76 [9489]~P21(x94891,x94892,x94893,f331(f331(f308(x94891),x94894),x94895))+~P104(f331(f331(f333(x94892),f331(x94893,x94894)),f331(f309(x94891,x94892,x94893),f331(f331(f22(f885(x94891,a871)),x94895),f331(f331(f308(x94891),x94894),f194(f885(x94891,a871))))))) % 159.04/158.76 [9540]P104(f331(f331(f244(f885(x95401,a871)),f331(f284(x95402,x95401,x95403),x95404)),x95405))+~P104(f331(f331(f244(f885(x95402,a871)),x95404),f331(f79(f885(x95402,a871)),f331(f284(x95401,x95402,f331(f285(x95402,x95401),x95403)),f331(f79(f885(x95401,a871)),x95405))))) % 159.04/158.76 [9614]~P86(x96141)+P104(f331(f331(f244(x96141),f331(f75(x96141),f331(f331(f22(x96141),f331(f331(f80(x96141),x96142),x96143)),f331(f331(f80(x96141),x96144),x96145)))),f331(f331(f80(x96141),f331(f75(x96141),f331(f331(f22(x96141),x96142),x96144))),f331(f75(x96141),f331(f331(f22(x96141),x96143),x96145))))) % 159.04/158.76 [9717]P104(f331(f331(f333(x97171),f497(x97172,x97173,x97174,x97171,x97175)),x97174))+P104(f331(f331(f244(f885(x97175,a871)),f331(f331(f42(x97171,f885(x97175,a871)),x97174),x97173)),x97172)) % 159.04/158.76 [9914]~P104(f331(f331(f244(f885(x99141,a871)),f331(x99144,f497(x99145,x99144,x99143,x99142,x99141))),x99145))+P104(f331(f331(f244(f885(x99141,a871)),f331(f331(f42(x99142,f885(x99141,a871)),x99143),x99144)),x99145)) % 159.04/158.76 [8548]E(f331(f331(f126(x85481),x85482),f331(f331(f158(x85481,x85483),f331(f331(f22(a876),x85484),f331(f195(f877(x85481)),x85482))),x85485)),f331(f331(f158(x85481,f331(f331(f126(x85481),x85482),x85483)),x85484),x85485))+P104(f331(f331(f245(a876),x85484),f331(f195(f877(x85481)),x85482))) % 159.04/158.76 [8575]~P139(x85751)+E(f331(f331(f80(x85751),f331(f331(f81(x85751),x85752),x85753)),f331(f331(f80(x85751),f331(f331(f81(x85751),x85754),x85753)),x85755)),f331(f331(f80(x85751),f331(f331(f81(x85751),f331(f331(f80(x85751),x85752),x85754)),x85753)),x85755)) % 159.04/158.76 [9136]~P136(x91361)+E(f331(f165(x91361),f331(f331(f153(x91362,x91361),f331(f331(f8(x91361,x91361,x91362),f331(f81(x91361),x91363)),x91364)),x91365)),f331(f331(f81(x91361),x91363),f331(f165(x91361),f331(f331(f153(x91362,x91361),x91364),x91365)))) % 159.04/158.76 [9311]E(f331(f195(f877(x93111)),f331(f331(f175(x93111),f331(f331(f242(a876),f331(f195(f877(x93111)),x93112)),f331(f195(f877(x93113)),x93114))),x93112)),f331(f195(f877(x93113)),f331(f331(f175(x93113),f331(f331(f242(a876),f331(f195(f877(x93111)),x93112)),f331(f195(f877(x93113)),x93114))),x93114)))+P104(f331(x93115,f331(f331(f182(x93111,x93113),x93112),x93114))) % 159.04/158.76 [9551]~P136(x95512)+E(f331(f331(f6(x95511,x95512),f331(f331(f7(x95511,x95512,x95512),f331(f331(f8(x95512,f885(x95512,x95512),x95511),f81(x95512)),x95513)),x95514)),x95515),f331(f331(f81(x95512),f331(f331(f6(x95511,x95512),x95513),x95515)),x95514)) % 159.04/158.76 [9552]~P60(x95522)+E(f331(f331(f6(x95521,x95522),f331(f331(f7(x95521,x95522,x95522),f331(f331(f8(x95522,f885(x95522,x95522),x95521),f288(x95522)),x95523)),x95524)),x95525),f331(f331(f288(x95522),f331(f331(f6(x95521,x95522),x95523),x95525)),x95524)) % 159.04/158.76 [9559]~P64(x95592)+E(f331(f331(f6(x95591,x95592),f331(f331(f18(x95591,x95592,x95592),f331(f331(f8(x95592,f885(x95592,x95592),x95591),f22(x95592)),x95593)),x95594)),x95595),f331(f331(f22(x95592),f331(f331(f6(x95591,x95592),x95593),x95595)),f331(f331(f6(x95591,x95592),x95594),x95595))) % 159.04/158.76 [9560]~P69(x95602)+E(f331(f331(f6(x95601,x95602),f331(f331(f18(x95601,x95602,x95602),f331(f331(f8(x95602,f885(x95602,x95602),x95601),f80(x95602)),x95603)),x95604)),x95605),f331(f331(f80(x95602),f331(f331(f6(x95601,x95602),x95603),x95605)),f331(f331(f6(x95601,x95602),x95604),x95605))) % 159.04/158.76 [9561]~P68(x95612)+E(f331(f331(f9(x95611,x95612),f331(f331(f18(x95611,x95612,x95612),f331(f331(f8(x95612,f885(x95612,x95612),x95611),f81(x95612)),x95613)),x95614)),x95615),f331(f331(f81(x95612),f331(f331(f9(x95611,x95612),x95613),x95615)),f331(f331(f9(x95611,x95612),x95614),x95615))) % 159.04/158.76 [9599]~E(x95993,f194(f885(x95991,a871)))+E(f331(f331(f42(x95991,f885(x95992,a871)),x95993),f331(f331(f7(x95991,f885(x95992,a871),f885(x95992,a871)),f331(f331(f8(f885(x95992,a871),f885(f885(x95992,a871),f885(x95992,a871)),x95991),f114(f885(x95992,a871))),x95994)),x95995)),f194(f885(x95992,a871))) % 159.04/158.76 [9600]~E(x96003,f194(f885(x96001,a871)))+E(f331(f331(f43(x96001,f885(x96002,a871)),x96003),f331(f331(f7(x96001,f885(x96002,a871),f885(x96002,a871)),f331(f331(f8(f885(x96002,a871),f885(f885(x96002,a871),f885(x96002,a871)),x96001),f22(f885(x96002,a871))),x96004)),x96005)),f253(f885(x96002,a871))) % 159.04/158.76 [9601]~E(x96013,f194(f885(x96011,a871)))+E(f331(f331(f43(x96011,f885(x96012,a871)),x96013),f331(f331(f7(x96011,f885(x96012,a871),f885(x96012,a871)),f331(f331(f8(f885(x96012,a871),f885(f885(x96012,a871),f885(x96012,a871)),x96011),f105(f885(x96012,a871))),x96014)),x96015)),f253(f885(x96012,a871))) % 159.04/158.76 [9622]E(x96221,f194(f885(x96222,a871)))+E(f331(f331(f42(x96222,f885(x96223,a871)),x96221),f331(f331(f7(x96222,f885(x96223,a871),f885(x96223,a871)),f331(f331(f8(f885(x96223,a871),f885(f885(x96223,a871),f885(x96223,a871)),x96222),f114(f885(x96223,a871))),x96224)),x96225)),f331(f331(f114(f885(x96223,a871)),f331(f331(f42(x96222,f885(x96223,a871)),x96221),x96224)),x96225)) % 159.04/158.76 [9623]E(x96231,f194(f885(x96232,a871)))+E(f331(f331(f43(x96232,f885(x96233,a871)),x96231),f331(f331(f7(x96232,f885(x96233,a871),f885(x96233,a871)),f331(f331(f8(f885(x96233,a871),f885(f885(x96233,a871),f885(x96233,a871)),x96232),f22(f885(x96233,a871))),x96234)),x96235)),f331(f331(f22(f885(x96233,a871)),f331(f331(f43(x96232,f885(x96233,a871)),x96231),x96234)),x96235)) % 159.04/158.76 [9624]E(x96241,f194(f885(x96242,a871)))+E(f331(f331(f43(x96242,f885(x96243,a871)),x96241),f331(f331(f7(x96242,f885(x96243,a871),f885(x96243,a871)),f331(f331(f8(f885(x96243,a871),f885(f885(x96243,a871),f885(x96243,a871)),x96242),f105(f885(x96243,a871))),x96244)),x96245)),f331(f331(f105(f885(x96243,a871)),f331(f331(f43(x96242,f885(x96243,a871)),x96241),x96244)),x96245)) % 159.04/158.76 [9189]~P104(f331(f331(f244(a876),x91891),x91894))+E(f331(f331(f22(a876),f331(f331(f80(a876),f331(f331(f81(a876),x91891),x91892)),x91893)),f331(f331(f80(a876),f331(f331(f81(a876),x91894),x91892)),x91895)),f331(f331(f22(a876),x91893),f331(f331(f80(a876),f331(f331(f81(a876),f331(f331(f22(a876),x91894),x91891)),x91892)),x91895))) % 159.04/158.76 [9777]~P136(x97771)+E(f331(f165(x97771),f331(f331(f153(x97772,x97771),f331(f331(f7(x97772,x97771,x97771),f331(f331(f8(x97771,f885(x97771,x97771),x97772),f81(x97771)),x97773)),x97774)),x97775)),f331(f331(f81(x97771),f331(f165(x97771),f331(f331(f153(x97772,x97771),x97773),x97775))),x97774)) % 159.04/158.76 [9783]~P64(x97831)+E(f331(f165(x97831),f331(f331(f153(x97832,x97831),f331(f331(f18(x97832,x97831,x97831),f331(f331(f8(x97831,f885(x97831,x97831),x97832),f22(x97831)),x97833)),x97834)),x97835)),f331(f331(f22(x97831),f331(f165(x97831),f331(f331(f153(x97832,x97831),x97833),x97835))),f331(f165(x97831),f331(f331(f153(x97832,x97831),x97834),x97835)))) % 159.04/158.76 [9784]~P69(x97841)+E(f331(f165(x97841),f331(f331(f153(x97842,x97841),f331(f331(f18(x97842,x97841,x97841),f331(f331(f8(x97841,f885(x97841,x97841),x97842),f80(x97841)),x97843)),x97844)),x97845)),f331(f331(f80(x97841),f331(f165(x97841),f331(f331(f153(x97842,x97841),x97843),x97845))),f331(f165(x97841),f331(f331(f153(x97842,x97841),x97844),x97845)))) % 159.04/158.76 [9927]P104(f331(x99271,f331(f331(f182(x99272,x99273),x99274),x99275)))+~P104(f331(x99271,f331(f331(f182(x99272,x99273),f331(f331(f175(x99272),f331(f331(f242(a876),f331(f195(f877(x99272)),x99274)),f331(f195(f877(x99273)),x99275))),x99274)),f331(f331(f175(x99273),f331(f331(f242(a876),f331(f195(f877(x99272)),x99274)),f331(f195(f877(x99273)),x99275))),x99275)))) % 159.04/158.76 [10161]~P104(f331(f331(f333(f884(x101612,x101611)),f331(f331(f265(x101612,x101611),x101614),x101615)),f331(f285(x101611,x101612),x101613)))+P104(f331(f331(f254(x101611,x101612,f331(f331(f7(x101611,f885(f884(x101611,x101612),a871),f885(x101612,a871)),f331(f331(f8(f885(x101612,f885(f885(f884(x101611,x101612),a871),a871)),f885(f885(f884(x101611,x101612),a871),f885(x101612,a871)),x101611),f7(x101612,f885(f884(x101611,x101612),a871),a871)),f331(f331(f8(f885(x101612,f884(x101611,x101612)),f885(x101612,f885(f885(f884(x101611,x101612),a871),a871)),x101611),f331(f8(f884(x101611,x101612),f885(f885(f884(x101611,x101612),a871),a871),x101612),f333(f884(x101611,x101612)))),f265(x101611,x101612)))),x101613)),x101614),x101615)) % 159.04/158.76 [10170]P104(f331(f331(f333(f884(x101701,x101702)),f331(f331(f265(x101701,x101702),x101703),x101704)),f331(f285(x101702,x101701),x101705)))+~P104(f331(f331(f254(x101702,x101701,f331(f331(f7(x101702,f885(f884(x101702,x101701),a871),f885(x101701,a871)),f331(f331(f8(f885(x101701,f885(f885(f884(x101702,x101701),a871),a871)),f885(f885(f884(x101702,x101701),a871),f885(x101701,a871)),x101702),f7(x101701,f885(f884(x101702,x101701),a871),a871)),f331(f331(f8(f885(x101701,f884(x101702,x101701)),f885(x101701,f885(f885(f884(x101702,x101701),a871),a871)),x101702),f331(f8(f884(x101702,x101701),f885(f885(f884(x101702,x101701),a871),a871),x101701),f333(f884(x101702,x101701)))),f265(x101702,x101701)))),x101705)),x101703),x101704)) % 159.04/158.76 [9432]~P104(f331(f331(f244(a876),x94324),x94321))+E(f331(f331(f22(a876),f331(f331(f80(a876),f331(f331(f81(a876),x94321),x94322)),x94323)),f331(f331(f80(a876),f331(f331(f81(a876),x94324),x94322)),x94325)),f331(f331(f22(a876),f331(f331(f80(a876),f331(f331(f81(a876),f331(f331(f22(a876),x94321),x94324)),x94322)),x94323)),x94325)) % 159.04/158.76 [10179]P20(x101791,x101792,f331(f309(a874,f875(x101791),f331(f331(f18(a874,f885(x101791,f885(a872,a871)),f875(x101791)),f331(f331(f18(a874,a873,f885(f885(x101791,f885(a872,a871)),f875(x101791))),f331(f331(f8(f885(x101791,f885(a872,a871)),f885(a873,f885(f885(x101791,f885(a872,a871)),f875(x101791))),a874),f92(x101791)),x101793)),a28)),x101794)),x101795))+~P20(x101791,f331(f331(f114(f885(f875(x101791),a871)),x101792),f331(f309(a874,f875(x101791),f331(f331(f18(a874,f885(x101791,f885(a872,a871)),f875(x101791)),f331(f331(f18(a874,a873,f885(f885(x101791,f885(a872,a871)),f875(x101791))),f331(f331(f8(f885(x101791,f885(a872,a871)),f885(a873,f885(f885(x101791,f885(a872,a871)),f875(x101791))),a874),f92(x101791)),x101793)),a28)),x101794)),x101795)),f331(f309(a874,f875(x101791),f331(f331(f18(a874,f885(x101791,f885(a872,a871)),f875(x101791)),f331(f331(f18(a874,a873,f885(f885(x101791,f885(a872,a871)),f875(x101791))),f331(f331(f8(f885(x101791,f885(a872,a871)),f885(a873,f885(f885(x101791,f885(a872,a871)),f875(x101791))),a874),f92(x101791)),x101793)),f331(f331(f8(f880(a873),a873,a874),f241(a873)),a26))),x101794)),x101795)) % 159.04/158.76 [10180]P23(x101801,x101802,f331(f309(a874,f875(x101801),f331(f331(f18(a874,f885(x101801,f885(a872,a871)),f875(x101801)),f331(f331(f18(a874,a873,f885(f885(x101801,f885(a872,a871)),f875(x101801))),f331(f331(f8(f885(x101801,f885(a872,a871)),f885(a873,f885(f885(x101801,f885(a872,a871)),f875(x101801))),a874),f92(x101801)),x101803)),a28)),x101804)),x101805))+~P23(x101801,f331(f331(f114(f885(f875(x101801),a871)),x101802),f331(f309(a874,f875(x101801),f331(f331(f18(a874,f885(x101801,f885(a872,a871)),f875(x101801)),f331(f331(f18(a874,a873,f885(f885(x101801,f885(a872,a871)),f875(x101801))),f331(f331(f8(f885(x101801,f885(a872,a871)),f885(a873,f885(f885(x101801,f885(a872,a871)),f875(x101801))),a874),f92(x101801)),x101803)),a28)),x101804)),x101805)),f331(f309(a874,f875(x101801),f331(f331(f18(a874,f885(x101801,f885(a872,a871)),f875(x101801)),f331(f331(f18(a874,a873,f885(f885(x101801,f885(a872,a871)),f875(x101801))),f331(f331(f8(f885(x101801,f885(a872,a871)),f885(a873,f885(f885(x101801,f885(a872,a871)),f875(x101801))),a874),f92(x101801)),x101803)),f331(f331(f8(f880(a873),a873,a874),f241(a873)),a26))),x101804)),x101805)) % 159.04/158.76 [5258]E(x52581,x52582)+~E(f30(x52583,x52584,x52581),f30(x52585,x52586,x52582)) % 159.04/158.76 [5259]E(x52591,x52592)+~E(f30(x52593,x52591,x52594),f30(x52595,x52592,x52596)) % 159.04/158.76 [5260]E(x52601,x52602)+~E(f30(x52601,x52603,x52604),f30(x52602,x52605,x52606)) % 159.04/158.76 [5261]E(x52611,x52612)+~E(f29(x52613,x52614,x52611),f29(x52615,x52616,x52612)) % 159.04/158.76 [5262]E(x52621,x52622)+~E(f29(x52623,x52621,x52624),f29(x52625,x52622,x52626)) % 159.04/158.76 [5263]E(x52631,x52632)+~E(f29(x52631,x52633,x52634),f29(x52632,x52635,x52636)) % 159.04/158.76 [6708]E(f331(f185(x67081,x67082,x67083,x67084),x67085),f331(f236(x67082),x67086))+~E(f331(x67084,x67085),f331(f236(x67082),x67086)) % 159.04/158.76 [6851]E(f331(f239(f880(x68511),x68512,f197(x68511),x68513),f331(x68514,x68515)),f331(x68513,x68516))+~E(f331(x68514,x68515),f331(f236(x68512),x68516)) % 159.04/158.76 [8377]~P15(x83775,x83771,x83772,x83776)+E(f331(f73(x83771,x83771,x83771,f331(x83772,x83773)),f331(x83772,x83774)),f331(f73(x83771,x83771,x83771,f331(x83772,x83774)),f331(x83772,x83773))) % 159.04/158.76 [8616]~P54(x86164,x86165,x86162,x86161,x86166)+E(f331(x86161,f331(x86162,x86163)),x86163) % 159.04/158.76 [8767]P21(x87671,x87672,x87673,x87674)+~P21(x87671,x87675,f331(f73(x87672,x87675,x87671,x87676),x87673),x87674) % 159.04/158.76 [8851]~P21(x88514,x88512,f331(f73(x88511,x88512,x88514,x88513),x88515),x88516)+P21(x88511,x88512,x88513,f331(f309(x88514,x88511,x88515),x88516)) % 159.04/158.76 [9562]P104(f331(f62(x95621),x95622))+~P104(f331(f67(x95621,x95623,x95624,x95625,x95622),x95626)) % 159.04/158.76 [9570]~P104(f331(f331(f333(x95704),x95703),f298(x95704,x95705,x95701,x95702,x95706)))+P104(f331(f331(x95701,x95702),x95703)) % 159.04/158.76 [9571]~P104(f331(f331(f333(x95714),x95713),f295(x95714,x95711,x95715,x95712,x95716)))+P104(f331(f331(x95711,x95712),x95713)) % 159.04/158.76 [9572]~P104(f331(f331(f333(x95724),x95722),f298(x95724,x95721,x95725,x95726,x95723)))+P104(f331(f331(x95721,x95722),x95723)) % 159.04/158.76 [9573]~P104(f331(f331(f333(x95734),x95732),f295(x95734,x95735,x95731,x95736,x95733)))+P104(f331(f331(x95731,x95732),x95733)) % 159.04/158.76 [5764]E(x57641,x57642)+~E(f331(f331(f265(x57643,x57644),x57645),x57641),f331(f331(f265(x57643,x57644),x57646),x57642)) % 159.04/158.76 [5766]E(x57661,x57662)+~E(f331(f331(f265(x57663,x57664),x57661),x57665),f331(f331(f265(x57663,x57664),x57662),x57666)) % 159.04/158.76 [5890]~P12(x58905,x58906,x58901)+E(f331(f331(x58901,x58902),f331(f331(x58901,x58903),x58904)),f331(f331(x58901,x58903),f331(f331(x58901,x58902),x58904))) % 159.04/158.76 [7307]~P34(x73074,x73071,f331(f331(f150(x73074),x73072),x73075),f331(f331(f150(x73074),x73073),x73076))+P104(f331(f331(x73071,x73072),x73073)) % 159.04/158.76 [7674]P34(x76741,x76742,x76743,x76744)+~P34(x76741,x76742,f331(f331(f150(x76741),x76745),x76743),f331(f331(f150(x76741),x76746),x76744)) % 159.04/158.76 [8710]~P54(x87105,x87101,x87102,x87106,x87104)+P104(f331(f331(f333(x87101),f331(x87102,x87103)),x87104)) % 159.04/158.76 [8879]E(f331(f76(x88791,x88792,x88793,x88794,x88795),x88796),f331(x88793,x88796))+P104(f331(f331(f333(x88791),x88796),x88795)) % 159.04/158.76 [8901]~E(x89013,f331(f331(f150(x89011),x89015),x89016))+P104(f331(f331(f333(f884(f877(x89011),f877(x89011))),f331(f331(f265(f877(x89011),f877(x89011)),x89012),f331(f331(f126(x89011),x89012),x89013))),f146(x89011,x89014))) % 159.04/158.76 [8908]E(f331(f76(x89081,x89082,x89083,x89084,x89085),x89086),f331(x89084,x89086))+~P104(f331(f331(f333(x89081),x89086),x89085)) % 159.04/158.76 [8913]E(f331(f187(x89131,x89132,x89133,x89134,x89135),x89136),f331(x89133,x89136))+P104(f331(f331(f333(x89131),x89136),f331(f172(x89131),x89134))) % 159.04/158.76 [9140]~P36(x91401,x91402,x91403,x91405,x91406)+P36(x91401,x91402,x91403,f331(f331(f175(x91401),x91404),x91405),f331(f331(f175(x91402),x91404),x91406)) % 159.04/158.76 [9141]~P36(x91411,x91412,x91413,x91415,x91416)+P36(x91411,x91412,x91413,f331(f331(f137(x91411),x91414),x91415),f331(f331(f137(x91412),x91414),x91416)) % 159.04/158.76 [9634]~P19(x96344,x96342,x96345,x96343,x96346,x96341)+E(f331(x96341,f194(f885(x96342,a871))),x96343) % 159.04/158.76 [9877]~E(f331(x98774,f331(f264(x98771,x98773),x98775)),f331(x98776,f331(f264(x98771,x98773),x98775)))+E(f331(f270(x98771,x98772,x98773,x98773,x98774,f34(x98773)),x98775),f331(f270(x98771,x98772,x98773,x98773,x98776,f34(x98773)),x98775)) % 159.04/158.76 [9878]~E(f331(x98784,f331(f268(x98781,x98782),x98785)),f331(x98786,f331(f268(x98781,x98782),x98785)))+E(f331(f270(x98781,x98781,x98782,x98783,f34(x98781),x98784),x98785),f331(f270(x98781,x98781,x98782,x98783,f34(x98781),x98786),x98785)) % 159.04/158.76 [9923]~E(f331(f270(x99232,x99236,x99233,x99233,x99231,f34(x99233)),x99234),f331(f270(x99232,x99236,x99233,x99233,x99235,f34(x99233)),x99234))+E(f331(x99231,f331(f264(x99232,x99233),x99234)),f331(x99235,f331(f264(x99232,x99233),x99234))) % 159.04/158.76 [9924]~E(f331(f270(x99242,x99242,x99243,x99246,f34(x99242),x99241),x99244),f331(f270(x99242,x99242,x99243,x99246,f34(x99242),x99245),x99244))+E(f331(x99241,f331(f268(x99242,x99243),x99244)),f331(x99245,f331(f268(x99242,x99243),x99244))) % 159.04/158.76 [8806]P104(f331(f331(f333(x88061),x88062),x88063))+~P104(f331(f331(f333(f884(x88061,x88064)),f331(f331(f265(x88061,x88064),x88062),x88065)),f331(f331(f267(x88061,x88064),x88063),x88066))) % 159.04/158.76 [8821]P104(f331(f331(f333(x88211),x88212),f331(x88213,x88214)))+~P104(f331(f331(f333(f884(x88215,x88211)),f331(f331(f265(x88215,x88211),x88214),x88212)),f331(f331(f267(x88215,x88211),x88216),x88213))) % 159.04/158.76 [8910]~E(f331(f195(f877(x89101)),x89104),f331(f195(f877(x89102)),x89105))+E(f187(x89101,x89102,x89103,x89104,f331(f331(f126(x89102),x89105),x89106)),f187(x89101,x89102,x89103,x89104,x89105)) % 159.04/158.76 [8911]~E(f331(f195(f877(x89111)),x89114),f331(f195(f877(x89112)),x89116))+E(f187(x89111,x89112,x89113,f331(f331(f126(x89111),x89114),x89115),x89116),f187(x89111,x89112,x89113,x89114,x89116)) % 159.04/158.76 [9161]P104(f331(f331(f333(x91611),x91614),f184(x91611,x91612,x91616)))+E(f185(x91611,x91612,f331(f331(f331(f72(x91611,f880(x91612)),x91613),x91614),f331(f236(x91612),x91615)),x91616),f331(f331(f331(f72(x91611,f880(x91612)),f185(x91611,x91612,x91613,x91616)),x91614),f331(f236(x91612),x91615))) % 159.04/158.76 [9262]P104(f331(f331(f333(f884(x92621,x92621)),f331(f331(f265(x92621,x92621),f331(x92622,x92623)),f331(x92622,x92624))),x92625))+~P104(f331(f331(f333(f884(x92626,x92626)),f331(f331(f265(x92626,x92626),x92623),x92624)),f331(f331(f286(x92621,x92626),x92625),x92622))) % 159.04/158.76 [9282]~P104(f331(f331(f333(f884(x92824,x92824)),f331(f331(f265(x92824,x92824),f331(x92826,x92822)),f331(x92826,x92823))),x92825))+P104(f331(f331(f333(f884(x92821,x92821)),f331(f331(f265(x92821,x92821),x92822),x92823)),f331(f331(f286(x92824,x92821),x92825),x92826))) % 159.04/158.76 [9926]E(f331(f331(f265(x99261,x99262),f799(x99263,x99264,x99265,x99266,x99262,x99261)),f800(x99263,x99264,x99265,x99266,x99262,x99261)),x99266)+~P104(f331(f331(f333(f884(x99261,x99262)),x99266),f331(f331(f287(x99261,x99265,x99262),x99264),x99263))) % 159.04/158.76 [10127]~P104(f331(f331(f333(f884(x101271,x101276)),x101275),f331(f331(f287(x101271,x101272,x101276),x101274),x101273)))+P104(f331(f331(f333(f884(x101271,x101272)),f331(f331(f265(x101271,x101272),f799(x101273,x101274,x101272,x101275,x101276,x101271)),f801(x101273,x101274,x101272,x101275,x101276,x101271))),x101274)) % 159.04/158.76 [10128]~P104(f331(f331(f333(f884(x101286,x101282)),x101285),f331(f331(f287(x101286,x101281,x101282),x101284),x101283)))+P104(f331(f331(f333(f884(x101281,x101282)),f331(f331(f265(x101281,x101282),f801(x101283,x101284,x101281,x101285,x101282,x101286)),f800(x101283,x101284,x101281,x101285,x101282,x101286))),x101283)) % 159.04/158.76 [6172]~E(x61726,x61724)+E(f331(f331(f331(f331(f72(x61721,x61722),x61723),x61724),x61725),x61726),x61725) % 159.04/158.76 [6220]E(x62201,x62202)+E(f331(f331(f331(f331(f72(x62203,x62204),x62205),x62202),x62206),x62201),f331(x62205,x62201)) % 159.04/158.76 [7744]~P28(x77442)+E(f331(f331(f42(x77441,x77442),x77443),f331(f331(f7(x77441,x77444,x77442),x77445),x77446)),f331(f331(f331(f42(x77441,f885(x77444,x77442)),x77443),x77445),x77446)) % 159.04/158.76 [7745]~P28(x77452)+E(f331(f331(f43(x77451,x77452),x77453),f331(f331(f7(x77451,x77454,x77452),x77455),x77456)),f331(f331(f331(f43(x77451,f885(x77454,x77452)),x77453),x77455),x77456)) % 159.04/158.76 [8530]E(f331(f331(f42(x85301,f885(x85302,a871)),x85303),f331(f331(f8(f885(x85302,a871),f885(x85302,a871),x85301),f331(f308(x85302),x85304)),x85305)),f331(f331(f308(x85302),x85304),f331(f331(f42(x85301,f885(x85302,a871)),x85303),x85305)))+~P104(f331(f331(f333(x85301),x85306),x85303)) % 159.04/158.76 [8963]~P28(x89632)+E(f331(f331(f42(x89631,x89632),x89633),f331(f331(f8(f885(x89634,x89632),x89632,x89631),f331(f42(x89634,x89632),x89635)),f331(f7(x89634,x89631,x89632),x89636))),f331(f331(f42(x89634,x89632),x89635),f331(f331(f8(f885(x89631,x89632),x89632,x89634),f331(f42(x89631,x89632),x89633)),x89636))) % 159.04/158.76 [8964]~P28(x89642)+E(f331(f331(f43(x89641,x89642),x89643),f331(f331(f8(f885(x89644,x89642),x89642,x89641),f331(f43(x89644,x89642),x89645)),f331(f7(x89644,x89641,x89642),x89646))),f331(f331(f43(x89644,x89642),x89645),f331(f331(f8(f885(x89641,x89642),x89642,x89644),f331(f43(x89641,x89642),x89643)),x89646))) % 159.04/158.76 [9170]P104(f331(f331(f333(x91701),x91702),f331(f172(x91701),x91703)))+~P104(f331(f331(f333(f884(x91704,x91701)),f331(f331(f265(x91704,x91701),x91705),x91702)),f331(f172(f884(x91704,x91701)),f331(f331(f182(x91704,x91701),x91706),x91703)))) % 159.04/158.76 [9171]P104(f331(f331(f333(x91711),x91712),f331(f172(x91711),x91713)))+~P104(f331(f331(f333(f884(x91711,x91714)),f331(f331(f265(x91711,x91714),x91712),x91715)),f331(f172(f884(x91711,x91714)),f331(f331(f182(x91711,x91714),x91713),x91716)))) % 159.04/158.76 [9276]P104(f331(f331(f244(f885(x92761,a871)),f331(f284(x92762,x92761,x92763),x92764)),x92765))+~P104(f331(f331(f244(f885(f884(x92762,x92761),a871)),x92763),f331(f331(f267(x92762,x92761),x92766),f331(f16(f885(x92761,a871),x92762),x92765)))) % 159.04/158.76 [9467]P104(f331(f331(f333(f884(f877(x94671),f877(x94671))),f331(f331(f265(f877(x94671),f877(x94671)),f331(f331(f150(x94671),x94672),x94673)),f331(f331(f150(x94671),x94674),x94675))),f146(x94671,x94676)))+~P104(f331(f331(f333(f884(x94671,x94671)),f331(f331(f265(x94671,x94671),x94672),x94674)),x94676)) % 159.04/158.76 [9922]E(f331(f331(f265(x99221,x99222),f714(x99223,x99224,x99225,x99222,x99221,x99226)),f715(x99223,x99224,x99225,x99222,x99221,x99226)),x99226)+P104(f331(f331(f333(x99225),x99224),f331(f331(f269(x99221,x99222,f885(x99225,a871)),x99223),x99226))) % 159.04/158.76 [9928]E(f331(f331(f265(x99281,x99282),f716(x99283,x99284,x99282,x99281,x99285,x99286)),f717(x99283,x99284,x99282,x99281,x99285,x99286)),x99283)+~P104(f331(f331(f333(x99286),x99285),f331(f331(f269(x99281,x99282,f885(x99286,a871)),x99284),x99283))) % 159.04/158.76 [10086]P104(f331(f331(f333(x100861),x100862),f331(f331(x100863,f716(x100864,x100863,x100865,x100866,x100862,x100861)),f717(x100864,x100863,x100865,x100866,x100862,x100861))))+~P104(f331(f331(f333(x100861),x100862),f331(f331(f269(x100866,x100865,f885(x100861,a871)),x100863),x100864))) % 159.04/158.76 [10105]~P104(f331(f331(f333(x101051),x101052),f331(f331(x101055,f714(x101055,x101052,x101051,x101054,x101053,x101056)),f715(x101055,x101052,x101051,x101054,x101053,x101056))))+P104(f331(f331(f333(x101051),x101052),f331(f331(f269(x101053,x101054,f885(x101051,a871)),x101055),x101056))) % 159.04/158.76 [7863]P104(f331(f331(f333(x78631),x78634),x78636))+E(f188(x78631,x78632,f331(f331(f331(f72(x78631,f880(x78632)),x78633),x78634),x78635),x78636),f188(x78631,x78632,x78633,x78636)) % 159.04/158.76 [7940]P104(f331(f331(f333(x79401),x79404),x79406))+E(f331(f309(x79401,x79402,f331(f331(f331(f72(x79401,x79402),x79403),x79404),x79405)),x79406),f331(f309(x79401,x79402,x79403),x79406)) % 159.04/158.76 [7967]P104(f331(f331(f333(x79671),x79674),f331(f172(x79671),x79676)))+E(f331(f331(f153(x79671,x79672),f331(f331(f331(f72(x79671,x79672),x79673),x79674),x79675)),x79676),f331(f331(f153(x79671,x79672),x79673),x79676)) % 159.04/158.76 [8426]E(x84261,x84262)+E(f331(f331(f158(x84263,f331(f331(f158(x84263,x84264),x84261),x84265)),x84262),x84266),f331(f331(f158(x84263,f331(f331(f158(x84263,x84264),x84262),x84266)),x84261),x84265)) % 159.04/158.76 [8969]~P104(f331(f331(f333(x89693),x89696),x89695))+E(f331(f331(f308(x89691),x89692),f331(f309(x89693,x89691,x89694),f331(f331(f22(f885(x89693,a871)),x89695),f331(f331(f308(x89693),x89696),f194(f885(x89693,a871)))))),f331(f309(x89693,x89691,f331(f331(f331(f72(x89693,x89691),x89694),x89696),x89692)),x89695)) % 159.04/158.76 [9739]E(f187(x97391,x97392,x97393,f331(f331(f126(x97391),x97394),f331(f331(f150(x97391),x97395),f117(x97391))),x97396),f331(f331(f331(f72(x97391,f880(x97392)),f187(x97391,x97392,x97393,x97394,x97396)),x97395),f331(f236(x97392),f331(f331(f164(x97392),x97396),f331(f195(f877(x97391)),x97394)))))+~P104(f331(f331(f245(a876),f331(f195(f877(x97391)),x97394)),f331(f195(f877(x97392)),x97396))) % 159.04/158.76 [8749]~E(x87493,x87496)+E(f331(f331(f178(x87491,x87492),f331(f331(f150(f884(x87491,x87492)),f331(f331(f265(x87491,x87492),x87493),x87494)),x87495)),x87496),f331(f236(x87492),x87494)) % 159.04/158.76 [8776]E(x87761,x87762)+E(f331(f331(f178(x87763,x87764),f331(f331(f150(f884(x87763,x87764)),f331(f331(f265(x87763,x87764),x87761),x87765)),x87766)),x87762),f331(f331(f178(x87763,x87764),x87766),x87762)) % 159.04/158.76 [9045]~P104(f331(f331(x90454,x90455),x90456))+P104(f331(f331(f331(f331(f114(f885(x90451,f885(x90452,a871))),x90453),x90454),x90455),x90456)) % 159.04/158.76 [9047]~P104(f331(f331(x90473,x90475),x90476))+P104(f331(f331(f331(f331(f114(f885(x90471,f885(x90472,a871))),x90473),x90474),x90475),x90476)) % 159.04/158.76 [9333]P104(f331(f331(x93331,x93332),x93333))+~P104(f331(f331(f331(f331(f105(f885(x93334,f885(x93335,a871))),x93336),x93331),x93332),x93333)) % 159.04/158.76 [9334]P104(f331(f331(x93341,x93342),x93343))+~P104(f331(f331(f331(f331(f105(f885(x93344,f885(x93345,a871))),x93341),x93346),x93342),x93343)) % 159.04/158.76 [9761]~P69(x97612)+E(f331(f331(f6(x97611,x97612),f331(f331(f7(x97611,f885(x97613,a871),x97612),f331(f331(f8(f885(x97613,x97612),f885(f885(x97613,a871),x97612),x97611),f6(x97613,x97612)),x97614)),x97615)),x97616),f331(f331(f6(f884(x97611,x97613),x97612),f331(f269(x97611,x97613,x97612),x97614)),f331(f331(f267(x97611,x97613),x97616),f331(f16(f885(x97613,a871),x97611),x97615)))) % 159.04/158.76 [9762]~P68(x97622)+E(f331(f331(f9(x97621,x97622),f331(f331(f7(x97621,f885(x97623,a871),x97622),f331(f331(f8(f885(x97623,x97622),f885(f885(x97623,a871),x97622),x97621),f9(x97623,x97622)),x97624)),x97625)),x97626),f331(f331(f9(f884(x97621,x97623),x97622),f331(f269(x97621,x97623,x97622),x97624)),f331(f331(f267(x97621,x97623),x97626),f331(f16(f885(x97623,a871),x97621),x97625)))) % 159.04/158.76 [9905]~P69(x99052)+E(f331(f331(f6(x99051,x99052),f331(f331(f7(x99051,f885(x99053,a871),x99052),f331(f331(f8(f885(x99053,x99052),f885(f885(x99053,a871),x99052),x99051),f6(x99053,x99052)),f331(f7(x99053,x99051,x99052),x99054))),x99055)),x99056),f331(f331(f6(x99053,x99052),f331(f331(f7(x99053,f885(x99051,a871),x99052),f331(f331(f8(f885(x99051,x99052),f885(f885(x99051,a871),x99052),x99053),f6(x99051,x99052)),x99054)),x99056)),x99055)) % 159.04/158.76 [9603]~P104(f331(f331(f333(x96031),x96035),x96034))+E(f331(f331(f331(f72(x96031,f880(x96032)),f188(x96031,x96032,x96033,f331(f331(f22(f885(x96031,a871)),x96034),f331(f331(f308(x96031),x96035),f194(f885(x96031,a871)))))),x96035),x96036),f188(x96031,x96032,f331(f331(f331(f72(x96031,f880(x96032)),x96033),x96035),x96036),x96034)) % 159.04/158.76 [10183]~P104(f331(f331(f333(f884(x101831,x101832)),f331(f331(f265(x101831,x101832),x101835),x101836)),f331(f331(f114(f885(f884(x101831,x101832),a871)),x101833),x101834)))+P104(f331(f331(f331(f331(f114(f885(x101831,f885(x101832,a871))),f331(f331(f7(x101831,f885(f884(x101831,x101832),a871),f885(x101832,a871)),f331(f331(f8(f885(x101832,f885(f885(f884(x101831,x101832),a871),a871)),f885(f885(f884(x101831,x101832),a871),f885(x101832,a871)),x101831),f7(x101832,f885(f884(x101831,x101832),a871),a871)),f331(f331(f8(f885(x101832,f884(x101831,x101832)),f885(x101832,f885(f885(f884(x101831,x101832),a871),a871)),x101831),f331(f8(f884(x101831,x101832),f885(f885(f884(x101831,x101832),a871),a871),x101832),f333(f884(x101831,x101832)))),f265(x101831,x101832)))),x101833)),f331(f331(f7(x101831,f885(f884(x101831,x101832),a871),f885(x101832,a871)),f331(f331(f8(f885(x101832,f885(f885(f884(x101831,x101832),a871),a871)),f885(f885(f884(x101831,x101832),a871),f885(x101832,a871)),x101831),f7(x101832,f885(f884(x101831,x101832),a871),a871)),f331(f331(f8(f885(x101832,f884(x101831,x101832)),f885(x101832,f885(f885(f884(x101831,x101832),a871),a871)),x101831),f331(f8(f884(x101831,x101832),f885(f885(f884(x101831,x101832),a871),a871),x101832),f333(f884(x101831,x101832)))),f265(x101831,x101832)))),x101834)),x101835),x101836)) % 159.04/158.76 [10184]~P104(f331(f331(f333(f884(x101841,x101842)),f331(f331(f265(x101841,x101842),x101845),x101846)),f331(f331(f105(f885(f884(x101841,x101842),a871)),x101843),x101844)))+P104(f331(f331(f331(f331(f105(f885(x101841,f885(x101842,a871))),f331(f331(f7(x101841,f885(f884(x101841,x101842),a871),f885(x101842,a871)),f331(f331(f8(f885(x101842,f885(f885(f884(x101841,x101842),a871),a871)),f885(f885(f884(x101841,x101842),a871),f885(x101842,a871)),x101841),f7(x101842,f885(f884(x101841,x101842),a871),a871)),f331(f331(f8(f885(x101842,f884(x101841,x101842)),f885(x101842,f885(f885(f884(x101841,x101842),a871),a871)),x101841),f331(f8(f884(x101841,x101842),f885(f885(f884(x101841,x101842),a871),a871),x101842),f333(f884(x101841,x101842)))),f265(x101841,x101842)))),x101843)),f331(f331(f7(x101841,f885(f884(x101841,x101842),a871),f885(x101842,a871)),f331(f331(f8(f885(x101842,f885(f885(f884(x101841,x101842),a871),a871)),f885(f885(f884(x101841,x101842),a871),f885(x101842,a871)),x101841),f7(x101842,f885(f884(x101841,x101842),a871),a871)),f331(f331(f8(f885(x101842,f884(x101841,x101842)),f885(x101842,f885(f885(f884(x101841,x101842),a871),a871)),x101841),f331(f8(f884(x101841,x101842),f885(f885(f884(x101841,x101842),a871),a871),x101842),f333(f884(x101841,x101842)))),f265(x101841,x101842)))),x101844)),x101845),x101846)) % 159.04/158.76 [10190]P104(f331(f331(f333(f884(x101901,x101902)),f331(f331(f265(x101901,x101902),x101903),x101904)),f331(f331(f114(f885(f884(x101901,x101902),a871)),x101905),x101906)))+~P104(f331(f331(f331(f331(f114(f885(x101901,f885(x101902,a871))),f331(f331(f7(x101901,f885(f884(x101901,x101902),a871),f885(x101902,a871)),f331(f331(f8(f885(x101902,f885(f885(f884(x101901,x101902),a871),a871)),f885(f885(f884(x101901,x101902),a871),f885(x101902,a871)),x101901),f7(x101902,f885(f884(x101901,x101902),a871),a871)),f331(f331(f8(f885(x101902,f884(x101901,x101902)),f885(x101902,f885(f885(f884(x101901,x101902),a871),a871)),x101901),f331(f8(f884(x101901,x101902),f885(f885(f884(x101901,x101902),a871),a871),x101902),f333(f884(x101901,x101902)))),f265(x101901,x101902)))),x101905)),f331(f331(f7(x101901,f885(f884(x101901,x101902),a871),f885(x101902,a871)),f331(f331(f8(f885(x101902,f885(f885(f884(x101901,x101902),a871),a871)),f885(f885(f884(x101901,x101902),a871),f885(x101902,a871)),x101901),f7(x101902,f885(f884(x101901,x101902),a871),a871)),f331(f331(f8(f885(x101902,f884(x101901,x101902)),f885(x101902,f885(f885(f884(x101901,x101902),a871),a871)),x101901),f331(f8(f884(x101901,x101902),f885(f885(f884(x101901,x101902),a871),a871),x101902),f333(f884(x101901,x101902)))),f265(x101901,x101902)))),x101906)),x101903),x101904)) % 159.04/158.76 [10191]P104(f331(f331(f333(f884(x101911,x101912)),f331(f331(f265(x101911,x101912),x101913),x101914)),f331(f331(f105(f885(f884(x101911,x101912),a871)),x101915),x101916)))+~P104(f331(f331(f331(f331(f105(f885(x101911,f885(x101912,a871))),f331(f331(f7(x101911,f885(f884(x101911,x101912),a871),f885(x101912,a871)),f331(f331(f8(f885(x101912,f885(f885(f884(x101911,x101912),a871),a871)),f885(f885(f884(x101911,x101912),a871),f885(x101912,a871)),x101911),f7(x101912,f885(f884(x101911,x101912),a871),a871)),f331(f331(f8(f885(x101912,f884(x101911,x101912)),f885(x101912,f885(f885(f884(x101911,x101912),a871),a871)),x101911),f331(f8(f884(x101911,x101912),f885(f885(f884(x101911,x101912),a871),a871),x101912),f333(f884(x101911,x101912)))),f265(x101911,x101912)))),x101915)),f331(f331(f7(x101911,f885(f884(x101911,x101912),a871),f885(x101912,a871)),f331(f331(f8(f885(x101912,f885(f885(f884(x101911,x101912),a871),a871)),f885(f885(f884(x101911,x101912),a871),f885(x101912,a871)),x101911),f7(x101912,f885(f884(x101911,x101912),a871),a871)),f331(f331(f8(f885(x101912,f884(x101911,x101912)),f885(x101912,f885(f885(f884(x101911,x101912),a871),a871)),x101911),f331(f8(f884(x101911,x101912),f885(f885(f884(x101911,x101912),a871),a871),x101912),f333(f884(x101911,x101912)))),f265(x101911,x101912)))),x101916)),x101913),x101914)) % 159.04/158.76 [10177]~P104(f331(f331(f333(f884(x101772,x101773)),f331(f331(f265(x101772,x101773),x101775),x101776)),f331(f331(f42(x101771,f885(f884(x101772,x101773),a871)),f253(f885(x101771,a871))),x101774)))+P104(f331(f331(f331(f331(f42(x101771,f885(x101772,f885(x101773,a871))),f253(f885(x101771,a871))),f331(f331(f8(f885(f884(x101772,x101773),a871),f885(x101772,f885(x101773,a871)),x101771),f331(f7(x101772,f885(f884(x101772,x101773),a871),f885(x101773,a871)),f331(f331(f8(f885(x101773,f885(f885(f884(x101772,x101773),a871),a871)),f885(f885(f884(x101772,x101773),a871),f885(x101773,a871)),x101772),f7(x101773,f885(f884(x101772,x101773),a871),a871)),f331(f331(f8(f885(x101773,f884(x101772,x101773)),f885(x101773,f885(f885(f884(x101772,x101773),a871),a871)),x101772),f331(f8(f884(x101772,x101773),f885(f885(f884(x101772,x101773),a871),a871),x101773),f333(f884(x101772,x101773)))),f265(x101772,x101773))))),x101774)),x101775),x101776)) % 159.04/158.76 [10178]~P104(f331(f331(f333(f884(x101782,x101783)),f331(f331(f265(x101782,x101783),x101785),x101786)),f331(f331(f43(x101781,f885(f884(x101782,x101783),a871)),f253(f885(x101781,a871))),x101784)))+P104(f331(f331(f331(f331(f43(x101781,f885(x101782,f885(x101783,a871))),f253(f885(x101781,a871))),f331(f331(f8(f885(f884(x101782,x101783),a871),f885(x101782,f885(x101783,a871)),x101781),f331(f7(x101782,f885(f884(x101782,x101783),a871),f885(x101783,a871)),f331(f331(f8(f885(x101783,f885(f885(f884(x101782,x101783),a871),a871)),f885(f885(f884(x101782,x101783),a871),f885(x101783,a871)),x101782),f7(x101783,f885(f884(x101782,x101783),a871),a871)),f331(f331(f8(f885(x101783,f884(x101782,x101783)),f885(x101783,f885(f885(f884(x101782,x101783),a871),a871)),x101782),f331(f8(f884(x101782,x101783),f885(f885(f884(x101782,x101783),a871),a871),x101783),f333(f884(x101782,x101783)))),f265(x101782,x101783))))),x101784)),x101785),x101786)) % 159.04/158.76 [10187]P104(f331(f331(f333(f884(x101871,x101872)),f331(f331(f265(x101871,x101872),x101873),x101874)),f331(f331(f42(x101875,f885(f884(x101871,x101872),a871)),f253(f885(x101875,a871))),x101876)))+~P104(f331(f331(f331(f331(f42(x101875,f885(x101871,f885(x101872,a871))),f253(f885(x101875,a871))),f331(f331(f8(f885(f884(x101871,x101872),a871),f885(x101871,f885(x101872,a871)),x101875),f331(f7(x101871,f885(f884(x101871,x101872),a871),f885(x101872,a871)),f331(f331(f8(f885(x101872,f885(f885(f884(x101871,x101872),a871),a871)),f885(f885(f884(x101871,x101872),a871),f885(x101872,a871)),x101871),f7(x101872,f885(f884(x101871,x101872),a871),a871)),f331(f331(f8(f885(x101872,f884(x101871,x101872)),f885(x101872,f885(f885(f884(x101871,x101872),a871),a871)),x101871),f331(f8(f884(x101871,x101872),f885(f885(f884(x101871,x101872),a871),a871),x101872),f333(f884(x101871,x101872)))),f265(x101871,x101872))))),x101876)),x101873),x101874)) % 159.04/158.76 [10188]P104(f331(f331(f333(f884(x101881,x101882)),f331(f331(f265(x101881,x101882),x101883),x101884)),f331(f331(f43(x101885,f885(f884(x101881,x101882),a871)),f253(f885(x101885,a871))),x101886)))+~P104(f331(f331(f331(f331(f43(x101885,f885(x101881,f885(x101882,a871))),f253(f885(x101885,a871))),f331(f331(f8(f885(f884(x101881,x101882),a871),f885(x101881,f885(x101882,a871)),x101885),f331(f7(x101881,f885(f884(x101881,x101882),a871),f885(x101882,a871)),f331(f331(f8(f885(x101882,f885(f885(f884(x101881,x101882),a871),a871)),f885(f885(f884(x101881,x101882),a871),f885(x101882,a871)),x101881),f7(x101882,f885(f884(x101881,x101882),a871),a871)),f331(f331(f8(f885(x101882,f884(x101881,x101882)),f885(x101882,f885(f885(f884(x101881,x101882),a871),a871)),x101881),f331(f8(f884(x101881,x101882),f885(f885(f884(x101881,x101882),a871),a871),x101882),f333(f884(x101881,x101882)))),f265(x101881,x101882))))),x101886)),x101883),x101884)) % 159.04/158.76 [9243]E(x92431,x92432)+~E(f318(x92433,x92434,x92435,x92436,x92431),f318(x92433,x92434,x92435,x92437,x92432)) % 159.04/158.76 [9244]E(x92441,x92442)+~E(f318(x92443,x92444,x92445,x92441,x92446),f318(x92443,x92444,x92445,x92442,x92447)) % 159.04/158.76 [7420]E(f331(x74201,f331(x74202,x74203)),f331(x74204,x74203))+~E(f331(f73(x74205,x74206,x74207,x74201),x74202),x74204) % 159.04/158.76 [9633]~P18(x96333,x96334,x96331,x96335,x96336,x96337)+E(f331(f331(x96331,x96332),x96332),x96332) % 159.04/158.76 [10002]~E(f331(f239(f880(x100027),x100021,f197(x100027),x100025),f331(x100024,x100023)),f331(f236(x100027),x100022))+E(f331(f236(x100021),f580(x100022,x100023,x100024,x100025,x100026,x100027,x100021)),f331(x100024,x100023)) % 159.04/158.76 [10003]~E(f331(f239(f880(x100036),x100037,f197(x100036),x100031),f331(x100034,x100033)),f331(f236(x100036),x100032))+E(f331(x100031,f580(x100032,x100033,x100034,x100031,x100035,x100036,x100037)),f331(f236(x100036),x100032)) % 159.04/158.76 [5994]~E(f331(f331(f153(x59941,x59945),x59946),x59942),f331(f331(f153(x59943,x59945),x59947),x59944))+E(f331(f195(f877(x59941)),x59942),f331(f195(f877(x59943)),x59944)) % 159.04/158.76 [7498]E(x74981,x74982)+~E(f331(f331(f331(f72(x74983,f880(x74984)),x74985),x74986),f331(f236(x74984),x74981)),f331(f331(f331(f72(x74983,f880(x74984)),x74987),x74986),f331(f236(x74984),x74982))) % 159.04/158.76 [8465]E(f331(x84651,f331(x84652,x84653)),f331(x84654,x84653))+~E(f331(f73(x84655,x84656,x84657,x84651),x84652),f331(f73(x84656,x84656,x84657,f34(x84656)),x84654)) % 159.04/158.76 [8795]~P36(x87954,x87955,x87951,f331(f331(f150(x87954),x87952),x87956),f331(f331(f150(x87955),x87953),x87957))+P104(f331(f331(x87951,x87952),x87953)) % 159.04/158.76 [9177]P36(x91771,x91772,x91773,x91774,x91775)+~P36(x91771,x91772,x91773,f331(f331(f150(x91771),x91776),x91774),f331(f331(f150(x91772),x91777),x91775)) % 159.04/158.76 [9800]P104(f331(f331(x98001,x98002),f688(x98003,x98002,x98004,x98001)))+~P104(f331(f331(f266(x98005,x98006,x98007,x98001,x98004),x98002),x98003)) % 159.04/158.76 [9821]P104(f331(f331(x98211,f688(x98212,x98213,x98211,x98214)),x98212))+~P104(f331(f331(f266(x98215,x98216,x98217,x98214,x98211),x98213),x98212)) % 159.04/158.76 [6038]E(x60381,x60382)+~E(f331(f331(f331(f92(x60383),x60384),x60385),x60381),f331(f331(f331(f92(x60383),x60386),x60387),x60382)) % 159.04/158.76 [6039]E(x60391,x60392)+~E(f331(f331(f331(f92(x60393),x60394),x60391),x60395),f331(f331(f331(f92(x60393),x60396),x60392),x60397)) % 159.04/158.76 [6040]E(x60401,x60402)+~E(f331(f331(f331(f92(x60403),x60401),x60404),x60405),f331(f331(f331(f92(x60403),x60402),x60406),x60407)) % 159.04/158.76 [8915]~P16(x89156,x89151,x89153,x89157)+E(f331(f73(x89151,x89151,x89152,f331(x89153,x89154)),f331(f73(x89151,x89151,x89152,f331(x89153,x89154)),x89155)),f331(f73(x89151,x89151,x89152,f331(x89153,x89154)),x89155)) % 159.04/158.76 [9285]~P36(x92853,x92852,x92854,f331(f331(f153(x92851,x92853),x92855),x92856),x92857)+P36(x92851,x92852,f331(f331(f8(x92853,f885(x92852,a871),x92851),x92854),x92855),x92856,x92857) % 159.04/158.76 [9308]P36(x93081,x93082,x93083,f331(f331(f153(x93084,x93081),x93085),x93086),x93087)+~P36(x93084,x93082,f331(f331(f8(x93081,f885(x93082,a871),x93084),x93083),x93085),x93086,x93087) % 159.04/158.76 [9719]E(f187(x97191,x97192,f331(f331(f331(f72(x97191,f880(x97192)),x97193),x97194),f331(f236(x97192),x97195)),x97196,x97197),f331(f331(f331(f72(x97191,f880(x97192)),f187(x97191,x97192,x97193,x97196,x97197)),x97194),f331(f236(x97192),x97195)))+P104(f331(f331(f333(x97191),x97194),f331(f172(x97191),x97196))) % 159.04/158.76 [8914]~P104(f331(f331(f333(x89141),x89142),f331(f331(x89145,x89146),x89147)))+P104(f331(f331(f333(x89141),x89142),f331(f331(f269(x89143,x89144,f885(x89141,a871)),x89145),f331(f331(f265(x89143,x89144),x89146),x89147)))) % 159.04/158.76 [9203]P104(f331(f331(f331(x92031,x92032),x92033),x92034))+~P104(f331(f331(f331(f269(x92035,x92036,f885(x92037,a871)),x92031),f331(f331(f265(x92035,x92036),x92032),x92033)),x92034)) % 159.04/158.76 [9347]P104(f331(f331(f333(x93471),f331(f331(x93472,x93473),x93474)),f331(f309(f884(x93475,x93476),x93471,f331(f269(x93475,x93476,x93471),x93472)),x93477)))+~P104(f331(f331(f333(f884(x93475,x93476)),f331(f331(f265(x93475,x93476),x93473),x93474)),x93477)) % 159.04/158.76 [9680]P104(f331(f331(f333(f884(f877(x96801),f877(x96801))),f331(f331(f265(f877(x96801),f877(x96801)),f331(f331(f126(x96801),x96802),f331(f331(f150(x96801),x96803),x96804))),f331(f331(f126(x96801),x96802),f331(f331(f150(x96801),x96805),x96806)))),f146(x96801,x96807)))+~P104(f331(f331(f333(f884(x96801,x96801)),f331(f331(f265(x96801,x96801),x96803),x96805)),x96807)) % 159.04/158.76 [9741]~P36(x97411,x97413,x97414,x97416,f331(f331(f153(x97412,x97413),x97415),x97417))+P36(x97411,x97412,f331(f331(f7(x97411,f885(x97412,x97413),f885(x97412,a871)),f331(f331(f8(f885(x97413,a871),f885(f885(x97412,x97413),f885(x97412,a871)),x97411),f8(x97413,a871,x97412)),x97414)),x97415),x97416,x97417) % 159.04/158.76 [9825]P36(x98251,x98252,x98253,x98254,f331(f331(f153(x98255,x98252),x98256),x98257))+~P36(x98251,x98255,f331(f331(f7(x98251,f885(x98255,x98252),f885(x98255,a871)),f331(f331(f8(f885(x98252,a871),f885(f885(x98255,x98252),f885(x98255,a871)),x98251),f8(x98252,a871,x98255)),x98253)),x98256),x98254,x98257) % 159.04/158.76 [9195]E(x91951,x91952)+E(f331(f331(f331(f72(x91953,x91954),f331(f331(f331(f72(x91953,x91954),x91955),x91951),x91956)),x91952),x91957),f331(f331(f331(f72(x91953,x91954),f331(f331(f331(f72(x91953,x91954),x91955),x91952),x91957)),x91951),x91956)) % 159.04/158.76 [9441]E(f187(x94411,x94412,f331(f331(f331(f72(x94411,f880(x94412)),x94413),x94414),f331(f236(x94412),x94415)),x94416,x94417),f187(x94411,x94412,x94413,x94416,x94417))+~P104(f331(f331(f333(x94411),x94414),f331(f172(x94411),f331(f331(f175(x94411),f331(f195(f877(x94412)),x94417)),x94416)))) % 159.04/158.76 [9752]E(f187(x97521,x97522,f331(f331(f331(f72(x97521,f880(x97522)),x97523),x97524),f331(f236(x97522),x97525)),x97526,x97527),f331(f331(f331(f72(x97521,f880(x97522)),f187(x97521,x97522,x97523,x97526,x97527)),x97524),f331(f236(x97522),x97525)))+P104(f331(f331(f333(x97521),x97524),f331(f172(x97521),f331(f331(f175(x97521),f331(f195(f877(x97522)),x97527)),x97526)))) % 159.04/158.76 [10116]P104(f331(f331(f333(x101161),f620(x101162,x101163,x101164,x101165,x101166,x101167,x101161)),x101165))+P104(f331(f331(f331(f331(f43(x101161,f885(x101167,f885(x101166,a871))),x101165),x101164),x101163),x101162)) % 159.04/158.76 [10117]P104(f331(f331(f333(x101171),f502(x101172,x101173,x101174,x101175,x101176,x101177,x101171)),x101175))+~P104(f331(f331(f331(f331(f42(x101171,f885(x101177,f885(x101176,a871))),x101175),x101174),x101173),x101172)) % 159.04/158.76 [10142]P104(f331(f331(f331(x101421,f502(x101422,x101423,x101421,x101424,x101425,x101426,x101427)),x101423),x101422))+~P104(f331(f331(f331(f331(f42(x101427,f885(x101426,f885(x101425,a871))),x101424),x101421),x101423),x101422)) % 159.04/158.76 [10159]~P104(f331(f331(f331(x101595,f620(x101597,x101596,x101595,x101594,x101593,x101592,x101591)),x101596),x101597))+P104(f331(f331(f331(f331(f43(x101591,f885(x101592,f885(x101593,a871))),x101594),x101595),x101596),x101597)) % 159.04/158.76 [10176]~P104(f331(f331(f333(f884(x101761,x101763)),f331(f331(f265(x101761,x101763),x101766),x101767)),f331(f331(f287(x101761,x101762,x101763),x101764),x101765)))+P104(f331(f331(f266(x101761,x101762,x101763,f331(f331(f7(x101761,f885(f884(x101761,x101762),a871),f885(x101762,a871)),f331(f331(f8(f885(x101762,f885(f885(f884(x101761,x101762),a871),a871)),f885(f885(f884(x101761,x101762),a871),f885(x101762,a871)),x101761),f7(x101762,f885(f884(x101761,x101762),a871),a871)),f331(f331(f8(f885(x101762,f884(x101761,x101762)),f885(x101762,f885(f885(f884(x101761,x101762),a871),a871)),x101761),f331(f8(f884(x101761,x101762),f885(f885(f884(x101761,x101762),a871),a871),x101762),f333(f884(x101761,x101762)))),f265(x101761,x101762)))),x101764),f331(f331(f7(x101762,f885(f884(x101762,x101763),a871),f885(x101763,a871)),f331(f331(f8(f885(x101763,f885(f885(f884(x101762,x101763),a871),a871)),f885(f885(f884(x101762,x101763),a871),f885(x101763,a871)),x101762),f7(x101763,f885(f884(x101762,x101763),a871),a871)),f331(f331(f8(f885(x101763,f884(x101762,x101763)),f885(x101763,f885(f885(f884(x101762,x101763),a871),a871)),x101762),f331(f8(f884(x101762,x101763),f885(f885(f884(x101762,x101763),a871),a871),x101763),f333(f884(x101762,x101763)))),f265(x101762,x101763)))),x101765)),x101766),x101767)) % 159.04/158.76 [10186]P104(f331(f331(f333(f884(x101861,x101862)),f331(f331(f265(x101861,x101862),x101863),x101864)),f331(f331(f287(x101861,x101865,x101862),x101866),x101867)))+~P104(f331(f331(f266(x101861,x101865,x101862,f331(f331(f7(x101861,f885(f884(x101861,x101865),a871),f885(x101865,a871)),f331(f331(f8(f885(x101865,f885(f885(f884(x101861,x101865),a871),a871)),f885(f885(f884(x101861,x101865),a871),f885(x101865,a871)),x101861),f7(x101865,f885(f884(x101861,x101865),a871),a871)),f331(f331(f8(f885(x101865,f884(x101861,x101865)),f885(x101865,f885(f885(f884(x101861,x101865),a871),a871)),x101861),f331(f8(f884(x101861,x101865),f885(f885(f884(x101861,x101865),a871),a871),x101865),f333(f884(x101861,x101865)))),f265(x101861,x101865)))),x101866),f331(f331(f7(x101865,f885(f884(x101865,x101862),a871),f885(x101862,a871)),f331(f331(f8(f885(x101862,f885(f885(f884(x101865,x101862),a871),a871)),f885(f885(f884(x101865,x101862),a871),f885(x101862,a871)),x101865),f7(x101862,f885(f884(x101865,x101862),a871),a871)),f331(f331(f8(f885(x101862,f884(x101865,x101862)),f885(x101862,f885(f885(f884(x101865,x101862),a871),a871)),x101865),f331(f8(f884(x101865,x101862),f885(f885(f884(x101865,x101862),a871),a871),x101862),f333(f884(x101865,x101862)))),f265(x101865,x101862)))),x101867)),x101863),x101864)) % 159.04/158.76 [10126]~P136(x101262)+E(f331(f331(f6(x101261,x101262),f331(f331(f7(x101261,f885(x101263,a871),x101262),f331(f331(f8(f885(x101263,x101262),f885(f885(x101263,a871),x101262),x101261),f6(x101263,x101262)),f331(f331(f7(x101261,f885(x101263,x101262),f885(x101263,x101262)),f331(f331(f8(f885(x101262,x101262),f885(f885(x101263,x101262),f885(x101263,x101262)),x101261),f8(x101262,x101262,x101263)),f331(f331(f8(x101262,f885(x101262,x101262),x101261),f81(x101262)),x101264))),x101265))),x101266)),x101267),f331(f331(f81(x101262),f331(f331(f6(x101261,x101262),x101264),x101267)),f331(f331(f6(x101263,x101262),x101265),x101266))) % 159.04/158.76 [9236]~P15(x92367,x92361,x92363,x92368)+E(f331(f73(x92361,x92361,x92362,f331(x92363,x92364)),f331(f73(x92361,x92361,x92362,f331(x92363,x92365)),x92366)),f331(f73(x92361,x92361,x92362,f331(x92363,x92365)),f331(f73(x92361,x92361,x92362,f331(x92363,x92364)),x92366))) % 159.04/158.76 [10181]E(f331(f331(f265(x101811,x101812),f331(x101813,f581(x101814,x101815,x101813,x101816,x101817,x101818,x101812,x101811))),f331(x101815,f582(x101814,x101815,x101813,x101816,x101817,x101818,x101812,x101811))),x101818)+~P104(f331(f331(f333(f884(x101811,x101812)),x101818),f331(f309(f884(x101817,x101816),f884(x101811,x101812),f270(x101817,x101811,x101816,x101812,x101813,x101815)),x101814))) % 159.04/158.76 [10197]~P104(f331(f331(f333(f884(x101978,x101977)),x101976),f331(f309(f884(x101971,x101972),f884(x101978,x101977),f270(x101971,x101978,x101972,x101977,x101975,x101974)),x101973)))+P104(f331(f331(f333(f884(x101971,x101972)),f331(f331(f265(x101971,x101972),f581(x101973,x101974,x101975,x101972,x101971,x101976,x101977,x101978)),f582(x101973,x101974,x101975,x101972,x101971,x101976,x101977,x101978))),x101973)) % 159.04/158.76 [9670]P104(f331(f331(f333(f884(f884(x96701,x96702),f884(x96701,x96702))),f331(f331(f265(f884(x96701,x96702),f884(x96701,x96702)),f331(f331(f265(x96701,x96702),x96703),x96704)),f331(f331(f265(x96701,x96702),x96705),x96706))),f324(x96701,x96702,x96707,x96708)))+~P104(f331(f331(f333(f884(x96701,x96701)),f331(f331(f265(x96701,x96701),x96703),x96705)),x96707)) % 159.04/158.76 [10169]E(f331(f141(x101691,x101692,f331(f7(x101692,x101691,x101691),x101693),f331(x101694,x101695)),x101696),f331(x101694,f331(f141(x101697,x101692,f331(f7(x101692,x101697,x101697),x101698),x101695),x101696)))+P104(f331(f331(f333(x101692),f699(x101695,x101698,x101694,x101693,x101697,x101691,x101696,x101692)),f331(f172(x101692),x101696))) % 159.04/158.76 [10189]~E(f331(f73(x101891,x101891,x101897,f331(x101893,f699(x101895,x101898,x101894,x101893,x101897,x101891,x101896,x101892))),x101894),f331(f73(x101897,x101891,x101897,x101894),f331(x101898,f699(x101895,x101898,x101894,x101893,x101897,x101891,x101896,x101892))))+E(f331(f141(x101891,x101892,f331(f7(x101892,x101891,x101891),x101893),f331(x101894,x101895)),x101896),f331(x101894,f331(f141(x101897,x101892,f331(f7(x101892,x101897,x101897),x101898),x101895),x101896))) % 159.04/158.76 [8471]E(f331(x84711,f331(x84712,x84713)),f331(x84714,f331(x84715,x84713)))+~E(f331(f73(x84716,x84717,x84718,x84711),x84712),f331(f73(x84719,x84717,x84718,x84714),x84715)) % 159.04/158.76 [10055]P104(f331(f331(f333(f884(x100551,x100552)),f331(f331(f265(x100551,x100552),f331(x100553,x100554)),f331(x100555,x100556))),f331(f309(f884(x100557,x100558),f884(x100551,x100552),f270(x100557,x100551,x100558,x100552,x100553,x100555)),x100559)))+~P104(f331(f331(f333(f884(x100557,x100558)),f331(f331(f265(x100557,x100558),x100554),x100556)),x100559)) % 159.04/158.76 [8743]~E(f331(x87434,f331(x87435,x87436)),f331(x87439,f331(x874310,x874311)))+E(f331(f331(f73(x87431,x87432,x87433,x87434),x87435),x87436),f331(f331(f73(x87437,x87432,x87438,x87439),x874310),x874311)) % 159.04/158.76 [4582]~P107(x45821)+~P100(x45821)+E(f105(x45821),f242(x45821)) % 159.04/158.76 [4583]~P107(x45831)+~P99(x45831)+E(f114(x45831),f243(x45831)) % 159.04/158.76 [4830]~P119(x48301)+~P92(x48301)+E(f331(f75(x48301),f331(f107(x48301),a101)),f78(x48301)) % 159.04/158.76 [5108]E(x51081,f2(a1))+E(f82(a1,x51081),f331(f79(a1),f78(a1)))+P104(f331(f331(f245(a1),f2(a1)),x51081)) % 159.04/158.76 [5322]E(x53221,f2(a1))+E(f82(a1,x53221),f78(a1))+~P104(f331(f331(f245(a1),f2(a1)),x53221)) % 159.04/158.76 [7311]~P41(x73111)+P104(f331(f62(a1),x73111))+~P104(f331(f62(a876),f331(f309(a1,a876,a108),x73111))) % 159.04/158.76 [8572]~P4(a5000)+~P104(f331(f331(f333(f884(a874,a873)),x85721),f331(f172(f884(a874,a873)),a27)))+P104(f331(f331(f269(a874,a873,a871),f331(f16(f885(a873,a871),a874),a25)),x85721)) % 159.04/158.76 [9632]E(x96321,f194(f885(f884(a876,a876),a871)))+~P104(f331(f62(f884(a876,a876)),x96321))+P104(f331(f331(f333(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),f331(f331(f265(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),f194(f885(f884(a876,a876),a871))),x96321)),a37)) % 159.04/158.76 [9801]E(x98011,f2(a876))+E(x98011,f331(a116,f2(a876)))+~P104(f331(f331(f245(a876),x98011),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))) % 159.04/158.76 [10083]E(x100831,f2(a103))+E(f331(f331(f80(a1),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(a20,f331(f331(f39(a103),x100831),f331(f107(a103),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))))),f78(a1)),f331(a20,x100831))+E(f45(a103,x100831,f331(f107(a103),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f2(a103)) % 159.04/158.76 [9933]E(x99331,f2(a103))+~E(f45(a103,x99331,f331(f107(a103),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f2(a103))+E(f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(a20,f331(f331(f39(a103),x99331),f331(f107(a103),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))),f331(a20,x99331)) % 159.04/158.76 [4657]~P55(x46571,x46572)+P44(x46571,x46572)+~P45(a871) % 159.04/158.76 [4594]~P143(x45941)+P32(x45941,x45942)+~E(x45942,f2(x45941)) % 159.04/158.76 [4595]~P107(x45951)+P30(x45951,x45952)+~E(x45952,f117(x45951)) % 159.04/158.76 [4604]~P119(x46041)+~E(x46042,f2(x46041))+E(f82(x46041,x46042),f2(x46041)) % 159.04/158.76 [4605]~P88(x46051)+~E(x46052,f2(x46051))+E(f82(x46051,x46052),f2(x46051)) % 159.04/158.76 [4613]~P143(x46132)+~P32(x46132,x46131)+E(x46131,f2(x46132)) % 159.04/158.76 [4647]~P119(x46472)+~E(f82(x46472,x46471),f2(x46472))+E(x46471,f2(x46472)) % 159.04/158.76 [4664]~P25(x46642)+~P25(x46641)+P25(f885(x46641,x46642)) % 159.04/158.76 [4665]~P25(x46652)+~P25(x46651)+P25(f883(x46651,x46652)) % 159.04/158.76 [4666]~P25(x46662)+~P25(x46661)+P25(f884(x46661,x46662)) % 159.04/158.76 [4667]~P29(x46672)+~P29(x46671)+P29(f202(x46671,x46672)) % 159.04/158.76 [4668]~P144(x46682)+~P144(x46681)+P144(f884(x46681,x46682)) % 159.04/158.76 [4669]~P58(x46692)+~P58(x46691)+P58(f885(x46691,x46692)) % 159.04/158.76 [4670]~P58(x46702)+~P58(x46701)+P58(f883(x46701,x46702)) % 159.04/158.76 [4671]~P58(x46712)+~P58(x46711)+P58(f884(x46711,x46712)) % 159.04/158.76 [4672]~P58(x46721)+~P94(x46722)+P94(f885(x46721,x46722)) % 159.04/158.76 [4673]~P102(x46732)+~P102(x46731)+P102(f884(x46731,x46732)) % 159.04/158.76 [4801]~P107(x48011)+~P30(x48011,x48012)+P30(x48011,f151(x48011,x48012)) % 159.04/158.76 [5041]~P29(x50412)+~P29(x50411)+P29(f45(a1,x50411,x50412)) % 159.04/158.76 [4615]~P73(x46151)+~E(x46152,f2(x46151))+E(f331(f79(x46151),x46152),x46152) % 159.04/158.76 [4619]~P138(x46191)+~E(x46192,f2(a1))+E(f331(f106(x46191),x46192),f2(x46191)) % 159.04/158.76 [4620]~P91(x46201)+~E(x46202,f2(a1))+E(f331(f106(x46201),x46202),f2(x46201)) % 159.04/158.76 [4644]~P65(x46441)+~E(f2(x46441),x46442)+E(f331(f79(x46441),x46442),f2(x46441)) % 159.04/158.76 [4645]~P65(x46451)+~E(x46452,f2(x46451))+E(f331(f79(x46451),x46452),f2(x46451)) % 159.04/158.76 [4646]~P86(x46461)+~E(x46462,f2(x46461))+E(f331(f75(x46461),x46462),f2(x46461)) % 159.04/158.76 [4675]~P73(x46752)+E(x46751,f2(x46752))+~E(f331(f79(x46752),x46751),x46751) % 159.04/158.76 [4681]E(x46811,f331(a108,x46812))+~E(x46811,f2(a876))+~E(x46812,f331(f104(a1),x46811)) % 159.04/158.76 [4682]E(f331(a108,x46821),x46822)+~E(x46822,f2(a876))+~E(x46821,f331(f104(a1),x46822)) % 159.04/158.76 [4686]~P91(x46862)+E(x46861,f2(a1))+~E(f331(f106(x46862),x46861),f2(x46862)) % 159.04/158.76 [4691]~P65(x46912)+E(x46911,f2(x46912))+~E(f331(f79(x46912),x46911),f2(x46912)) % 159.04/158.76 [4692]~P86(x46922)+E(x46921,f2(x46922))+~E(f331(f75(x46922),x46921),f2(x46922)) % 159.04/158.76 [4693]~P65(x46931)+E(f2(x46931),x46932)+~E(f331(f79(x46931),x46932),f2(x46931)) % 159.04/158.76 [4835]~P4(a5000)+~E(f331(a26,x48352),f331(f236(a873),x48351))+P104(f331(a25,x48351)) % 159.04/158.76 [4877]~P107(x48771)+~P30(x48771,x48772)+P30(x48771,f331(f171(x48771),x48772)) % 159.04/158.76 [4904]~P104(x49042)+~P104(x49041)+P104(f331(f331(a329,x49041),x49042)) % 159.04/158.76 [4938]~E(f78(a876),f2(a876))+E(f331(f38(x49381),x49382),f2(a876))+~P104(f331(f62(x49381),x49382)) % 159.04/158.76 [4971]~P136(x49711)+~P112(x49711)+E(f331(f331(f255(x49711),f2(x49711)),f331(a116,x49712)),f2(x49711)) % 159.04/158.76 [5009]~P107(x50091)+P30(x50091,f138(x50091,x50092))+~P104(f331(f62(x50091),x50092)) % 159.04/158.76 [5010]~P107(x50101)+P30(x50101,f707(x50102,x50101))+~P104(f331(f62(x50101),x50102)) % 159.04/158.76 [5031]~P107(x50311)+E(f331(f172(x50311),f138(x50311,x50312)),x50312)+~P104(f331(f62(x50311),x50312)) % 159.04/158.76 [5032]~P107(x50321)+E(f331(f172(x50321),f707(x50322,x50321)),x50322)+~P104(f331(f62(x50321),x50322)) % 159.04/158.76 [5061]P104(x50611)+P104(x50612)+~P104(f331(f331(a330,x50612),x50611)) % 159.04/158.76 [5073]E(x50731,f194(f885(x50732,a871)))+~E(f331(f38(x50732),x50731),f2(a876))+~P104(f331(f62(x50732),x50731)) % 159.04/158.76 [5078]P104(x50781)+~P104(x50782)+~P104(f331(f331(a334,x50782),x50781)) % 159.04/158.76 [5126]~P72(x51261)+E(f331(f75(x51261),x51262),x51262)+P104(f331(f331(f245(x51261),x51262),f2(x51261))) % 159.04/158.76 [5197]~P58(x51972)+~P104(f331(f58(x51972),x51971))+P104(f331(x51971,f625(x51971,x51972))) % 159.04/158.76 [5198]~P58(x51982)+~P104(f331(f58(x51982),x51981))+P104(f331(x51981,f647(x51981,x51982))) % 159.04/158.76 [5225]~P104(f331(a25,x52252))+~P104(f331(a25,x52251))+P104(f331(a25,f33(x52251,x52252))) % 159.04/158.76 [5234]E(x52341,f117(x52342))+P104(f331(f136(x52342),f118(x52342,x52341)))+~P104(f331(f136(x52342),x52341)) % 159.04/158.76 [5239]~P107(x52391)+~P104(f331(f62(x52391),x52392))+P104(f331(f136(x52391),f138(x52391,x52392))) % 159.04/158.76 [5240]~P107(x52401)+~P104(f331(f62(x52401),x52402))+P104(f331(f136(x52401),f707(x52402,x52401))) % 159.04/158.76 [5246]~P138(x52461)+E(f331(f104(x52461),f331(a108,x52462)),f331(f106(x52461),x52462))+P104(f331(f331(f245(a1),x52462),f2(a1))) % 159.04/158.76 [5273]P2(x52732,x52731)+E(f331(x52731,f448(x52731)),f331(x52731,f533(x52731)))+P104(f331(f331(x52731,f448(x52731)),f533(x52731))) % 159.04/158.76 [5287]E(f331(f104(a1),f374(x52871,x52872)),x52871)+P104(f331(x52872,f331(a108,x52871)))+~P104(f331(x52872,f2(a876))) % 159.04/158.76 [5299]~P58(x52991)+~P104(f331(x52992,f626(x52992,x52991)))+P104(f331(f59(x52991),x52992)) % 159.04/158.76 [5300]~P58(x53001)+~P104(f331(x53002,f648(x53002,x53001)))+P104(f331(f59(x53001),x53002)) % 159.04/158.76 [5315]~P58(x53152)+~P37(x53152,x53151,f56(x53152))+P104(f331(x53151,f721(x53151,x53152))) % 159.04/158.76 [5331]~P119(x53311)+~E(f82(x53311,x53312),f331(f79(x53311),f78(x53311)))+P104(f331(f331(f245(x53311),x53312),f2(x53311))) % 159.04/158.76 [5332]E(x53321,f194(f885(x53322,a871)))+P104(f331(f62(x53322),f375(x53321,x53322)))+~P104(f331(f62(x53322),x53321)) % 159.04/158.76 [5409]~E(x54092,f2(a1))+E(f224(x54091,x54092),f331(f331(f265(a1,a1),f2(a1)),f78(a1)))+P104(f331(f331(f245(a1),x54092),f2(a1))) % 159.04/158.76 [5410]~E(x54101,f2(a1))+E(f224(x54101,x54102),f331(f331(f265(a1,a1),f2(a1)),f78(a1)))+P104(f331(f331(f245(a1),x54102),f2(a1))) % 159.04/158.76 [5462]E(f331(f104(a1),f374(x54621,x54622)),x54621)+P104(f331(x54622,f331(a108,x54621)))+P104(f331(f331(f245(a1),x54621),f2(a1))) % 159.04/158.76 [5486]E(f331(f331(f308(x54862),f393(x54861,x54862)),f375(x54861,x54862)),x54861)+E(x54861,f194(f885(x54862,a871)))+~P104(f331(f62(x54862),x54861)) % 159.04/158.76 [5526]~P119(x55261)+E(f82(x55261,x55262),f331(f79(x55261),f78(x55261)))+~P104(f331(f331(f245(x55261),x55262),f2(x55261))) % 159.04/158.76 [5527]~P86(x55271)+E(f331(f75(x55271),x55272),f331(f79(x55271),x55272))+~P104(f331(f331(f244(x55271),x55272),f2(x55271))) % 159.04/158.76 [5528]~P86(x55281)+E(f331(f75(x55281),x55282),f331(f79(x55281),x55282))+~P104(f331(f331(f245(x55281),x55282),f2(x55281))) % 159.04/158.76 [5529]~P72(x55291)+E(f331(f75(x55291),x55292),f331(f79(x55291),x55292))+~P104(f331(f331(f245(x55291),x55292),f2(x55291))) % 159.04/158.76 [5624]~P104(f331(x56241,f374(x56242,x56241)))+P104(f331(x56241,f331(a108,x56242)))+~P104(f331(x56241,f2(a876))) % 159.04/158.76 [5631]E(x56311,f2(a876))+E(f331(a116,f341(x56312,x56311)),x56311)+~P104(f331(f331(f245(a876),x56311),f331(a116,x56312))) % 159.04/158.76 [5635]P2(x56351,x56352)+~E(f331(x56352,f448(x56352)),f331(x56352,f533(x56352)))+~P104(f331(f331(x56352,f448(x56352)),f533(x56352))) % 159.04/158.76 [5655]~P107(x56551)+P30(x56551,x56552)+P104(f331(f331(f244(a876),f627(x56552,x56551)),f628(x56552,x56551))) % 159.04/158.76 [5656]~P107(x56561)+P30(x56561,x56562)+P104(f331(f331(f244(a876),f633(x56562,x56561)),f643(x56562,x56561))) % 159.04/158.76 [5744]~P86(x57441)+~E(x57442,f2(x57441))+P104(f331(f331(f244(x57441),f331(f75(x57441),x57442)),f2(x57441))) % 159.04/158.76 [5823]~P58(x58232)+~P58(x58231)+E(f60(x58231,x58232,f56(x58231),f56(x58232)),f56(f884(x58231,x58232))) % 159.04/158.76 [5827]~P104(f331(x58271,f374(x58272,x58271)))+P104(f331(x58271,f331(a108,x58272)))+P104(f331(f331(f245(a1),x58272),f2(a1))) % 159.04/158.76 [5850]~P104(f331(x58501,f331(a108,x58502)))+P104(f331(x58501,f2(a876)))+~P104(f331(f331(f245(a1),x58502),f2(a1))) % 159.04/158.76 [6192]~P119(x61921)+~P104(f331(f331(f245(x61921),x61922),f2(x61921)))+P104(f331(f331(f245(x61921),f82(x61921,x61922)),f2(x61921))) % 159.04/158.76 [6306]~P119(x63061)+P104(f331(f331(f244(x63061),f331(f106(x63061),x63062)),f2(x63061)))+~P104(f331(f331(f244(a1),x63062),f2(a1))) % 159.04/158.76 [6307]~P119(x63071)+P104(f331(f331(f245(x63071),f331(f106(x63071),x63072)),f2(x63071)))+~P104(f331(f331(f245(a1),x63072),f2(a1))) % 159.04/158.76 [6314]~P86(x63142)+E(x63141,f2(x63142))+~P104(f331(f331(f244(x63142),f331(f75(x63142),x63141)),f2(x63142))) % 159.04/158.76 [6389]~P138(x63891)+~P104(f331(f331(f333(x63891),x63892),f113(x63891)))+P104(f331(f331(f333(x63891),f331(f79(x63891),x63892)),f113(x63891))) % 159.04/158.76 [6421]~P119(x64211)+~P104(f331(f331(f245(x64211),f82(x64211,x64212)),f2(x64211)))+P104(f331(f331(f245(x64211),x64212),f2(x64211))) % 159.04/158.76 [6591]~P119(x65912)+~P104(f331(f331(f244(x65912),f331(f106(x65912),x65911)),f2(x65912)))+P104(f331(f331(f244(a1),x65911),f2(a1))) % 159.04/158.76 [6592]~P119(x65922)+~P104(f331(f331(f245(x65922),f331(f106(x65922),x65921)),f2(x65922)))+P104(f331(f331(f245(a1),x65921),f2(a1))) % 159.04/158.76 [7098]~P73(x70981)+~P104(f331(f331(f244(x70981),x70982),f2(x70981)))+P104(f331(f331(f244(x70981),f331(f331(f80(x70981),x70982),x70982)),f2(x70981))) % 159.04/158.76 [7099]~P119(x70991)+~P104(f331(f331(f245(x70991),x70992),f2(x70991)))+P104(f331(f331(f245(x70991),f331(f331(f80(x70991),x70992),x70992)),f2(x70991))) % 159.04/158.76 [7100]~P73(x71001)+~P104(f331(f331(f245(x71001),x71002),f2(x71001)))+P104(f331(f331(f245(x71001),f331(f331(f80(x71001),x71002),x71002)),f2(x71001))) % 159.04/158.76 [7668]~P73(x76681)+~P104(f331(f331(f244(x76681),f331(f331(f80(x76681),x76682),x76682)),f2(x76681)))+P104(f331(f331(f244(x76681),x76682),f2(x76681))) % 159.04/158.76 [7669]~P119(x76691)+~P104(f331(f331(f245(x76691),f331(f331(f80(x76691),x76692),x76692)),f2(x76691)))+P104(f331(f331(f245(x76691),x76692),f2(x76691))) % 159.04/158.76 [7670]~P73(x76701)+~P104(f331(f331(f245(x76701),f331(f331(f80(x76701),x76702),x76702)),f2(x76701)))+P104(f331(f331(f245(x76701),x76702),f2(x76701))) % 159.04/158.76 [4731]~E(x47312,f78(a876))+~E(x47311,f78(a876))+E(f331(f331(f81(a876),x47311),x47312),f78(a876)) % 159.04/158.76 [4732]~E(x47322,f78(a1))+~E(x47321,f78(a1))+E(f331(f331(f81(a1),x47321),x47322),f78(a1)) % 159.04/158.76 [4733]~E(x47332,f2(a876))+~E(x47331,f2(a876))+E(f331(f331(f80(a876),x47331),x47332),f2(a876)) % 159.04/158.76 [4787]~P26(x47872)+E(x47871,f2(x47872))+E(f331(f331(f39(x47872),x47871),x47871),f78(x47872)) % 159.04/158.76 [4788]~P116(x47882)+E(x47881,f2(x47882))+E(f331(f331(f288(x47882),x47881),x47881),f78(x47882)) % 159.04/158.76 [4789]~P117(x47892)+E(x47891,f2(x47892))+E(f331(f331(f288(x47892),x47891),x47891),f78(x47892)) % 159.04/158.76 [4808]~P137(x48081)+~E(x48082,f78(x48081))+E(f331(f331(f81(x48081),x48082),x48082),f78(x48081)) % 159.04/158.76 [4809]~P73(x48091)+~E(x48092,f2(x48091))+E(f331(f331(f80(x48091),x48092),x48092),f2(x48091)) % 159.04/158.76 [4810]~P117(x48101)+~E(x48102,f2(x48101))+E(f331(f331(f288(x48101),x48102),x48102),f2(x48101)) % 159.04/158.76 [4856]~E(x48562,f2(a876))+~E(x48561,f2(a876))+E(f331(f79(a1),f331(f104(a1),x48561)),f331(f104(a1),x48562)) % 159.04/158.76 [4874]E(x48741,f78(a876))+E(x48742,f2(a876))+~E(f331(f331(f81(a876),x48742),x48741),x48742) % 159.04/158.76 [4884]E(x48841,f2(a876))+E(x48842,f2(a876))+~E(f331(f331(f81(a876),x48842),x48841),f2(a876)) % 159.04/158.76 [4913]~E(x49132,f2(a876))+~E(x49131,f331(a116,f2(a876)))+E(f331(f331(f80(a876),x49131),x49132),f331(a116,f2(a876))) % 159.04/158.76 [4914]~E(x49141,f2(a876))+~E(x49142,f331(a116,f2(a876)))+E(f331(f331(f80(a876),x49141),x49142),f331(a116,f2(a876))) % 159.04/158.76 [4921]E(x49211,f78(a1))+E(x49212,f331(f107(a1),a101))+~E(f331(f331(f81(a1),x49211),x49212),f78(a1)) % 159.04/158.76 [4922]E(x49221,f78(a1))+E(x49222,f331(f107(a1),a101))+~E(f331(f331(f81(a1),x49222),x49221),f78(a1)) % 159.04/158.76 [4923]E(x49231,f78(a1))+E(x49231,f331(f107(a1),a101))+~E(f331(f331(f81(a1),x49232),x49231),f78(a1)) % 159.04/158.76 [4925]E(x49251,f78(a1))+E(x49251,f331(f107(a1),a101))+~E(f331(f331(f81(a1),x49251),x49252),f78(a1)) % 159.04/158.76 [4942]~P73(x49422)+E(x49421,f2(x49422))+~E(f331(f331(f80(x49422),x49421),x49421),f2(x49422)) % 159.04/158.76 [4948]~E(x49481,f331(f107(a1),a101))+~E(x49482,f331(f107(a1),a101))+E(f331(f331(f81(a1),x49481),x49482),f78(a1)) % 159.04/158.76 [4960]E(x49601,f2(a876))+E(x49602,f2(a876))+~E(f331(f331(f80(a876),x49602),x49601),f331(a116,f2(a876))) % 159.04/158.76 [4970]~P59(x49701)+~P92(x49701)+E(f331(f331(f288(x49701),x49702),f331(f107(x49701),a83)),f2(x49701)) % 159.04/158.76 [4976]~P137(x49761)+~E(x49762,f331(f79(x49761),f78(x49761)))+E(f331(f331(f81(x49761),x49762),x49762),f78(x49761)) % 159.04/158.76 [4981]~P29(x49812)+~P29(x49811)+P29(f331(f331(f81(a1),x49811),x49812)) % 159.04/158.76 [4982]~P29(x49822)+~P29(x49821)+P29(f331(f331(f80(a1),x49821),x49822)) % 159.04/158.76 [4983]~P29(x49832)+~P29(x49831)+P29(f331(f331(f39(a1),x49831),x49832)) % 159.04/158.76 [4985]~E(x49852,f2(a1))+E(x49851,f2(a1))+E(f46(x49851,x49852),f331(f331(f265(a1,a1),f2(a1)),x49851)) % 159.04/158.76 [5007]~E(x50072,f331(a116,f2(a876)))+~E(x50071,f331(a116,f2(a876)))+E(f331(f331(f81(a876),x50071),x50072),f331(a116,f2(a876))) % 159.04/158.76 [5022]E(x50221,f2(a876))+E(x50222,f331(a116,f2(a876)))+~E(f331(f331(f255(a876),x50222),x50221),f331(a116,f2(a876))) % 159.04/158.76 [5023]E(x50231,f2(a876))+E(x50231,f331(a116,f2(a876)))+~E(f331(f331(f80(a876),x50232),x50231),f331(a116,f2(a876))) % 159.04/158.76 [5024]E(x50241,f2(a876))+E(x50241,f331(a116,f2(a876)))+~E(f331(f331(f80(a876),x50241),x50242),f331(a116,f2(a876))) % 159.04/158.76 [5033]~P59(x50331)+~P92(x50331)+E(f331(f331(f288(x50331),x50332),f331(f107(x50331),a101)),f331(f79(x50331),x50332)) % 159.04/158.76 [5053]E(x50531,f331(a108,x50532))+~E(x50531,f2(a876))+P104(f331(f331(f244(a1),f2(a1)),x50532)) % 159.04/158.76 [5054]E(f331(a108,x50541),x50542)+~E(x50542,f2(a876))+P104(f331(f331(f244(a1),f2(a1)),x50541)) % 159.04/158.76 [5069]E(x50691,f331(a116,f2(a876)))+E(x50692,f331(a116,f2(a876)))+~E(f331(f331(f80(a876),x50691),x50692),f331(a116,f2(a876))) % 159.04/158.76 [5079]~E(x50791,f331(a108,x50792))+E(x50791,f2(a876))+P104(f331(f331(f244(a1),f2(a1)),x50792)) % 159.04/158.76 [5080]~E(f331(a108,x50802),x50801)+E(x50801,f2(a876))+P104(f331(f331(f244(a1),f2(a1)),x50802)) % 159.04/158.76 [5102]~P75(x51021)+E(f331(f64(x51021,f105(x51021)),x51022),f11(x51021,x51022))+~P104(f331(f62(x51021),x51022)) % 159.04/158.76 [5103]~P75(x51031)+E(f331(f64(x51031,f114(x51031)),x51032),f10(x51031,x51032))+~P104(f331(f62(x51031),x51032)) % 159.04/158.76 [5104]~P107(x51041)+E(f331(f64(x51041,f242(x51041)),x51042),f14(x51041,x51042))+~P104(f331(f62(x51041),x51042)) % 159.04/158.76 [5105]~P107(x51051)+E(f331(f64(x51051,f243(x51051)),x51052),f15(x51051,x51052))+~P104(f331(f62(x51051),x51052)) % 159.04/158.76 [5107]~P58(x51071)+~P104(f331(x51072,f197(x51071)))+P104(f331(f58(f880(x51071)),x51072)) % 159.04/158.76 [5190]~P58(x51902)+P104(f331(x51901,f197(x51902)))+~P104(f331(f59(f880(x51902)),x51901)) % 159.04/158.76 [5191]E(x51911,x51912)+~E(f331(f331(f22(a876),x51912),x51911),f2(a876))+~E(f331(f331(f22(a876),x51911),x51912),f2(a876)) % 159.04/158.76 [5205]P29(x52051)+~P41(x52052)+~P104(f331(f331(f333(a1),x52051),x52052)) % 159.04/158.76 [5235]~P119(x52351)+~E(f82(x52351,x52352),f78(x52351))+P104(f331(f331(f245(x52351),f2(x52351)),x52352)) % 159.04/158.76 [5247]~P92(x52471)+E(f331(f104(x52471),f331(f107(a876),x52472)),f331(f107(x52471),x52472))+P104(f331(a200,f331(f107(a1),x52472))) % 159.04/158.76 [5253]~P44(x52531,x52532)+P45(a871)+P104(f331(f62(f884(x52531,x52531)),x52532)) % 159.04/158.76 [5324]~P107(x53241)+E(f331(f64(x53241,f242(x53241)),x53242),f12(x53241,f242(x53241),x53242))+~P104(f331(f62(x53241),x53242)) % 159.04/158.76 [5325]~P107(x53251)+E(f331(f64(x53251,f243(x53251)),x53252),f13(x53251,f243(x53251),x53252))+~P104(f331(f62(x53251),x53252)) % 159.04/158.76 [5339]E(x53391,x53392)+P104(f331(f331(f245(a876),x53392),x53391))+P104(f331(f331(f245(a876),x53391),x53392)) % 159.04/158.76 [5340]E(x53401,x53402)+P104(f331(f331(f245(a1),x53402),x53401))+P104(f331(f331(f245(a1),x53401),x53402)) % 159.04/158.76 [5396]~P92(x53961)+E(f331(f104(x53961),f331(f107(a876),x53962)),f2(x53961))+~P104(f331(a200,f331(f107(a1),x53962))) % 159.04/158.76 [5399]~E(x53992,f331(a108,x53991))+E(x53991,f331(f104(a1),x53992))+~P104(f331(f331(f244(a1),f2(a1)),x53991)) % 159.04/158.76 [5400]~E(f331(a108,x54001),x54002)+E(x54001,f331(f104(a1),x54002))+~P104(f331(f331(f244(a1),f2(a1)),x54001)) % 159.04/158.76 [5401]~E(x54011,f331(a108,x54012))+E(f331(f104(a1),x54011),x54012)+~P104(f331(f331(f244(a1),f2(a1)),x54012)) % 159.04/158.76 [5411]E(x54111,f331(a108,x54112))+~E(x54112,f331(f104(a1),x54111))+~P104(f331(f331(f244(a1),f2(a1)),x54112)) % 159.04/158.76 [5412]E(f331(a108,x54121),x54122)+~E(x54121,f331(f104(a1),x54122))+~P104(f331(f331(f244(a1),f2(a1)),x54121)) % 159.04/158.76 [5451]~P86(x54512)+E(x54511,f2(x54512))+P104(f331(f331(f245(x54512),f2(x54512)),f331(f75(x54512),x54511))) % 159.04/158.76 [5519]~P119(x55191)+E(f82(x55191,x55192),f78(x55191))+~P104(f331(f331(f245(x55191),f2(x55191)),x55192)) % 159.04/158.76 [5523]~P92(x55231)+E(f331(f104(x55231),f331(f107(a876),x55232)),f2(x55231))+P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),x55232))) % 159.04/158.76 [5530]~P86(x55301)+E(f331(f75(x55301),x55302),x55302)+~P104(f331(f331(f244(x55301),f2(x55301)),x55302)) % 159.04/158.76 [5531]~P86(x55311)+E(f331(f75(x55311),x55312),x55312)+~P104(f331(f331(f245(x55311),f2(x55311)),x55312)) % 159.04/158.76 [5538]E(x55381,f2(a876))+~E(f138(a876,f331(f300(a876,x55382),x55381)),f117(a876))+P104(f331(f331(f244(a876),x55381),x55382)) % 159.04/158.76 [5548]~P69(x55481)+E(f331(f331(f6(x55481,x55481),f5(x55481)),f331(f172(x55481),x55482)),f331(f165(x55481),x55482))+~P104(f331(f136(x55481),x55482)) % 159.04/158.76 [5551]~P138(x55511)+E(f331(f104(x55511),f331(a108,x55512)),f331(f106(x55511),x55512))+~P104(f331(f331(f244(a1),f2(a1)),x55512)) % 159.04/158.76 [5578]E(x55781,x55782)+P104(f331(f331(f245(a876),x55781),x55782))+~P104(f331(f331(f244(a876),x55781),x55782)) % 159.04/158.76 [5579]E(x55791,x55792)+P104(f331(f331(f245(a1),x55791),x55792))+~P104(f331(f331(f244(a1),x55791),x55792)) % 159.04/158.76 [5582]E(x55821,f78(a1))+~E(f331(f331(f81(a1),x55822),x55821),f78(a1))+~P104(f331(f331(f245(a1),f2(a1)),x55822)) % 159.04/158.76 [5583]E(x55831,f78(a1))+~E(f331(f331(f81(a1),x55831),x55832),f78(a1))+~P104(f331(f331(f245(a1),f2(a1)),x55831)) % 159.04/158.76 [5621]~P41(x56212)+P104(f331(f331(f244(a1),f2(a1)),x56211))+~P104(f331(f331(f333(a1),x56211),x56212)) % 159.04/158.76 [5640]~P55(x56401,x56402)+P39(x56401,x56402)+~P104(f331(f62(f884(x56401,x56401)),x56402)) % 159.04/158.76 [5642]~P55(x56421,x56422)+P44(x56421,x56422)+~P104(f331(f62(f884(x56421,x56421)),x56422)) % 159.04/158.76 [5686]E(x56861,f194(f885(x56862,a871)))+~P104(f331(f62(x56862),x56861))+P104(f331(f331(f245(a876),f2(a876)),f331(f38(x56862),x56861))) % 159.04/158.76 [5713]~P104(f331(x57131,x57132))+P104(f331(x57131,f2(a876)))+P104(f331(f331(f245(a876),f389(x57132,x57131)),x57132)) % 159.04/158.76 [5738]E(x57381,f2(a876))+~E(f331(f165(a876),x57382),f2(a876))+~P104(f331(f331(f333(a876),x57381),f331(f172(a876),x57382))) % 159.04/158.76 [5804]E(x58041,x58042)+~P104(f331(f331(f244(a876),x58042),x58041))+~P104(f331(f331(f244(a876),x58041),x58042)) % 159.04/158.76 [5805]E(x58051,x58052)+~P104(f331(f331(f244(a1),x58052),x58051))+~P104(f331(f331(f244(a1),x58051),x58052)) % 159.04/158.76 [5806]E(f331(f38(x58061),x58062),f2(a876))+~P104(f331(f62(x58061),x58062))+P104(f331(f331(f333(x58061),f449(x58062,x58061)),x58062)) % 159.04/158.76 [5815]E(f50(x58151,x58152),f46(x58151,x58152))+P104(f331(f331(f244(a1),f2(a1)),x58151))+~P104(f331(f331(f245(a1),f2(a1)),x58152)) % 159.04/158.76 [5839]~P104(f331(x58391,f373(x58391)))+P104(f331(x58391,f331(a108,x58392)))+~P104(f331(f331(f244(a1),f2(a1)),x58392)) % 159.04/158.76 [5841]P104(f331(f331(f244(a876),x58411),f862(x58412)))+~P104(f331(f62(a876),x58412))+~P104(f331(f331(f333(a876),x58411),x58412)) % 159.04/158.76 [5842]P104(f331(f331(f245(a876),x58421),f855(x58422)))+~P104(f331(f62(a876),x58422))+~P104(f331(f331(f333(a876),x58421),x58422)) % 159.04/158.76 [5871]E(x58711,x58712)+~P104(f331(f331(f245(a876),x58711),f331(a116,x58712)))+P104(f331(f331(f245(a876),x58711),x58712)) % 159.04/158.76 [5905]E(x59051,f331(a116,x59052))+~P104(f331(f331(f244(a876),x59051),f331(a116,x59052)))+P104(f331(f331(f244(a876),x59051),x59052)) % 159.04/158.76 [5918]P104(f331(x59181,f372(x59181)))+~P104(f331(x59181,f331(a108,x59182)))+~P104(f331(f331(f244(a1),f2(a1)),x59182)) % 159.04/158.76 [5932]~P104(f331(x59321,x59322))+~P104(f331(f331(f244(a1),f2(a1)),x59322))+P104(f331(x59321,f331(f104(a1),f357(x59321)))) % 159.04/158.76 [5947]~P86(x59472)+~E(x59471,f2(x59472))+~P104(f331(f331(f245(x59472),f2(x59472)),f331(f75(x59472),x59471))) % 159.04/158.76 [5974]~P55(x59741,x59742)+P39(x59741,f331(f285(x59741,x59741),x59742))+~P104(f331(f62(f884(x59741,x59741)),x59742)) % 159.04/158.76 [5982]~P92(x59821)+E(f331(f104(x59821),f331(f107(a876),x59822)),f331(f107(x59821),x59822))+~P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),x59822))) % 159.04/158.76 [5986]E(f331(a116,x59861),x59862)+~P104(f331(f331(f245(a876),x59861),x59862))+P104(f331(f331(f245(a876),f331(a116,x59861)),x59862)) % 159.04/158.76 [6000]E(f331(f331(f39(a1),x60001),x60002),f2(a1))+~P104(f331(f331(f244(a1),x60001),f2(a1)))+~P104(f331(f331(f245(a1),x60002),x60001)) % 159.04/158.76 [6011]E(f45(a1,x60111,x60112),x60111)+~P104(f331(f331(f244(a1),x60111),f2(a1)))+~P104(f331(f331(f245(a1),x60112),x60111)) % 159.04/158.76 [6024]E(f47(x60241,x60242),f46(x60241,x60242))+~P104(f331(f331(f244(a1),f2(a1)),x60241))+~P104(f331(f331(f244(a1),f2(a1)),x60242)) % 159.04/158.76 [6032]E(f331(f331(f39(a1),x60321),x60322),f2(a1))+~P104(f331(f331(f244(a1),f2(a1)),x60321))+~P104(f331(f331(f245(a1),x60321),x60322)) % 159.04/158.76 [6044]E(f45(a876,f331(f107(a876),x60441),f331(f107(a876),x60442)),f331(f107(a876),x60441))+P104(f331(a200,f331(f107(a1),x60441)))+~P104(f331(a200,f331(f107(a1),x60442))) % 159.04/158.76 [6046]E(f45(a1,x60461,x60462),x60461)+~P104(f331(f331(f244(a1),f2(a1)),x60461))+~P104(f331(f331(f245(a1),x60461),x60462)) % 159.04/158.76 [6047]E(x60471,x60472)+~P104(f331(f331(f245(a876),x60471),f331(a116,x60472)))+~P104(f331(f331(f244(a876),x60472),x60471)) % 159.04/158.76 [6064]~P73(x60641)+~P104(f331(f331(f244(x60641),x60642),f2(x60641)))+P104(f331(f331(f244(x60641),x60642),f331(f79(x60641),x60642))) % 159.04/158.76 [6065]~P119(x60651)+~P104(f331(f331(f245(x60651),x60652),f2(x60651)))+P104(f331(f331(f245(x60651),x60652),f331(f79(x60651),x60652))) % 159.04/158.76 [6075]~P28(x60751)+E(f331(f331(f65(x60751,x60751,f114(x60751)),f194(x60751)),x60752),f40(x60751,x60752))+~P104(f331(f62(x60751),x60752)) % 159.04/158.76 [6076]~P28(x60761)+E(f331(f331(f65(x60761,x60761,f105(x60761)),f253(x60761)),x60762),f41(x60761,x60762))+~P104(f331(f62(x60761),x60762)) % 159.04/158.76 [6090]~P119(x60901)+~P104(f331(f331(f244(a1),f2(a1)),x60902))+P104(f331(f331(f244(x60901),f2(x60901)),f331(f106(x60901),x60902))) % 159.04/158.76 [6091]~P122(x60911)+~P104(f331(f331(f245(a876),f2(a876)),x60912))+P104(f331(f331(f245(x60911),f2(x60911)),f331(f104(x60911),x60912))) % 159.04/158.76 [6092]~P119(x60921)+~P104(f331(f331(f245(a1),f2(a1)),x60922))+P104(f331(f331(f245(x60921),f2(x60921)),f331(f106(x60921),x60922))) % 159.04/158.76 [6095]~P29(x60952)+~P29(x60951)+E(f331(f309(a876,a1,f104(a1)),f301(a876,f331(a108,x60951),f331(a108,x60952))),f301(a1,x60951,x60952)) % 159.04/158.76 [6101]P104(f331(x61011,x61012))+~P104(f331(f331(f244(a1),f2(a1)),x61012))+~P104(f331(x61011,f331(f104(a1),f360(x61011)))) % 159.04/158.76 [6126]E(f331(f331(f80(a876),f331(f107(a876),x61261)),f331(f107(a876),x61262)),f331(f107(a876),x61261))+P104(f331(f331(f245(a1),x61261),a83))+~P104(f331(f331(f245(a1),x61262),a83)) % 159.04/158.76 [6130]~P119(x61301)+P104(f331(f331(f245(x61301),f2(x61301)),f82(x61301,x61302)))+~P104(f331(f331(f245(x61301),f2(x61301)),x61302)) % 159.04/158.76 [6141]~P77(x61411)+~P104(f331(f331(f244(x61411),x61412),f2(x61411)))+P104(f331(f331(f244(x61411),f2(x61411)),f331(f79(x61411),x61412))) % 159.04/158.76 [6142]~P77(x61421)+~P104(f331(f331(f245(x61421),x61422),f2(x61421)))+P104(f331(f331(f245(x61421),f2(x61421)),f331(f79(x61421),x61422))) % 159.04/158.76 [6145]E(x61451,f253(f885(x61452,a871)))+~E(f331(f38(x61452),x61451),f331(f38(x61452),f253(f885(x61452,a871))))+~P104(f331(f62(x61452),f253(f885(x61452,a871)))) % 159.04/158.76 [6185]~P73(x61851)+P104(f331(f331(f244(x61851),x61852),f2(x61851)))+~P104(f331(f331(f244(x61851),x61852),f331(f79(x61851),x61852))) % 159.04/158.76 [6186]~P119(x61861)+P104(f331(f331(f245(x61861),x61862),f2(x61861)))+~P104(f331(f331(f245(x61861),x61862),f331(f79(x61861),x61862))) % 159.04/158.76 [6194]~P92(x61941)+P104(f331(f331(f333(x61941),f331(f107(x61941),x61942)),f192(x61941)))+~P104(f331(f331(f244(a1),a83),x61942)) % 159.04/158.76 [6225]E(x62251,f2(a876))+~P104(f331(f331(f245(a876),x62251),f331(a116,x62252)))+P104(f331(f331(f245(a876),f341(x62252,x62251)),x62252)) % 159.04/158.76 [6247]~P119(x62471)+~P104(f331(f331(f245(x62471),f2(x62471)),f82(x62471,x62472)))+P104(f331(f331(f245(x62471),f2(x62471)),x62472)) % 159.04/158.76 [6249]~E(f331(f107(a876),x62492),f331(f107(a876),x62491))+P104(f331(f331(f244(a1),f331(f107(a1),x62491)),f2(a1)))+~P104(f331(a200,f331(f107(a1),x62492))) % 159.04/158.76 [6279]E(f331(f264(a1,a1),f50(x62791,x62792)),f331(f331(f39(a1),x62791),x62792))+~P104(f331(f331(f245(a1),x62791),f2(a1)))+~P104(f331(f331(f245(a1),f2(a1)),x62792)) % 159.04/158.76 [6312]E(f331(f268(a1,a1),f50(x63121,x63122)),f45(a1,x63121,x63122))+~P104(f331(f331(f245(a1),x63121),f2(a1)))+~P104(f331(f331(f245(a1),f2(a1)),x63122)) % 159.04/158.76 [6315]~P119(x63152)+~P104(f331(f331(f244(x63152),f2(x63152)),f331(f106(x63152),x63151)))+P104(f331(f331(f244(a1),f2(a1)),x63151)) % 159.04/158.76 [6316]~P122(x63162)+~P104(f331(f331(f245(x63162),f2(x63162)),f331(f104(x63162),x63161)))+P104(f331(f331(f245(a876),f2(a876)),x63161)) % 159.04/158.76 [6317]~P119(x63172)+~P104(f331(f331(f245(x63172),f2(x63172)),f331(f106(x63172),x63171)))+P104(f331(f331(f245(a1),f2(a1)),x63171)) % 159.04/158.76 [6320]E(f331(f264(a1,a1),f47(x63201,x63202)),f331(f331(f39(a1),x63201),x63202))+~P104(f331(f331(f244(a1),f2(a1)),x63202))+~P104(f331(f331(f245(a1),f2(a1)),x63201)) % 159.04/158.76 [6335]E(f331(f268(a1,a1),f47(x63351,x63352)),f45(a1,x63351,x63352))+~P104(f331(f331(f244(a1),f2(a1)),x63352))+~P104(f331(f331(f245(a1),f2(a1)),x63351)) % 159.04/158.76 [6350]~P77(x63501)+P104(f331(f331(f244(x63501),x63502),f2(x63501)))+~P104(f331(f331(f244(x63501),f2(x63501)),f331(f79(x63501),x63502))) % 159.04/158.76 [6351]~P77(x63511)+P104(f331(f331(f245(x63511),x63512),f2(x63511)))+~P104(f331(f331(f245(x63511),f2(x63511)),f331(f79(x63511),x63512))) % 159.04/158.76 [6376]P104(f331(f49(x63761,x63762),f50(x63761,x63762)))+~P104(f331(f331(f245(a1),x63761),f2(a1)))+~P104(f331(f331(f245(a1),f2(a1)),x63762)) % 159.04/158.76 [6401]P104(f331(f49(x64011,x64012),f47(x64011,x64012)))+~P104(f331(f331(f244(a1),f2(a1)),x64011))+~P104(f331(f331(f245(a1),f2(a1)),x64012)) % 159.04/158.76 [6444]~P77(x64441)+P104(f331(f331(f244(x64441),f331(f79(x64441),x64442)),f2(x64441)))+~P104(f331(f331(f244(x64441),f2(x64441)),x64442)) % 159.04/158.76 [6445]~P77(x64451)+P104(f331(f331(f245(x64451),f331(f79(x64451),x64452)),f2(x64451)))+~P104(f331(f331(f245(x64451),f2(x64451)),x64452)) % 159.04/158.76 [6462]E(f331(f331(f22(a876),f331(a108,x64621)),f331(a108,x64622)),f331(a108,f202(x64621,x64622)))+~P104(f331(f331(f244(a1),f2(a1)),x64622))+~P104(f331(f331(f244(a1),f2(a1)),x64621)) % 159.04/158.76 [6479]P104(f331(f331(f244(a1),f2(a1)),f202(x64791,x64792)))+~P104(f331(f331(f244(a1),f2(a1)),x64792))+~P104(f331(f331(f244(a1),f2(a1)),x64791)) % 159.04/158.76 [6516]~P104(f331(x65161,x65162))+P104(f331(x65161,f2(a876)))+P104(f331(x65161,f331(f331(f80(a876),f389(x65162,x65161)),f78(a876)))) % 159.04/158.76 [6598]E(f331(f107(a876),x65981),f331(f107(a876),x65982))+~P104(f331(f331(f244(a1),f331(f107(a1),x65982)),f2(a1)))+~P104(f331(a200,f331(f107(a1),x65981))) % 159.04/158.76 [6608]~E(x66081,f2(a876))+~E(f587(x66082,x66081),f2(a876))+E(f331(f141(a876,a876,f80(a876),x66081),x66082),f2(a876)) % 159.04/158.76 [6634]~P104(f331(f62(x66341),f653(x66342,x66341)))+~P104(f331(f62(f885(x66341,a871)),x66342))+P104(f331(f62(x66341),f40(f885(x66341,a871),x66342))) % 159.04/158.76 [6640]E(x66401,x66402)+P104(f331(f331(f245(a1),x66401),x66402))+~P104(f331(f331(f245(a1),x66401),f331(f331(f80(a1),x66402),f78(a1)))) % 159.04/158.76 [6641]P104(f331(f331(f244(a876),f331(a108,x66411)),f331(a108,x66412)))+~P104(f331(f331(f244(a1),f2(a1)),x66412))+~P104(f331(f331(f244(a1),x66411),x66412)) % 159.04/158.76 [6642]P104(f331(f331(f244(a876),f331(a108,x66421)),f331(a108,x66422)))+~P104(f331(f331(f245(a1),f2(a1)),x66421))+~P104(f331(f331(f244(a1),x66421),x66422)) % 159.04/158.76 [6644]P104(f331(f331(f245(a876),f331(a108,x66441)),f331(a108,x66442)))+~P104(f331(f331(f244(a1),f2(a1)),x66441))+~P104(f331(f331(f245(a1),x66441),x66442)) % 159.04/158.76 [6645]P104(f331(f331(f245(a876),f331(a108,x66451)),f331(a108,x66452)))+~P104(f331(f331(f245(a1),f2(a1)),x66452))+~P104(f331(f331(f245(a1),x66451),x66452)) % 159.04/158.76 [6656]E(f45(a876,f331(a108,x66561),f331(a108,x66562)),f331(a108,f45(a1,x66561,x66562)))+~P104(f331(f331(f244(a1),f2(a1)),x66562))+~P104(f331(f331(f244(a1),f2(a1)),x66561)) % 159.04/158.76 [6679]~P77(x66791)+~P104(f331(f331(f244(x66791),f331(f79(x66791),x66792)),f2(x66791)))+P104(f331(f331(f244(x66791),f2(x66791)),x66792)) % 159.04/158.76 [6680]~P77(x66801)+~P104(f331(f331(f245(x66801),f331(f79(x66801),x66802)),f2(x66801)))+P104(f331(f331(f245(x66801),f2(x66801)),x66802)) % 159.04/158.76 [6695]~P104(f331(f331(f245(a1),a83),x66952))+~P104(f331(f331(f245(a1),x66951),x66952))+P104(f331(f331(f245(a876),f331(f107(a876),x66951)),f331(f107(a876),x66952))) % 159.04/158.76 [6786]~P104(f331(f331(f244(a1),f2(a1)),x67861))+P104(f331(f331(f245(a876),f331(a108,x67861)),x67862))+~P104(f331(f331(f245(a1),x67861),f331(f104(a1),x67862))) % 159.04/158.76 [6803]E(x68031,f2(a1))+E(f45(a1,x68032,x68031),f2(a1))+E(f331(f331(f22(a1),f331(f79(a1),f331(f331(f39(a1),x68032),x68031))),f78(a1)),f331(f331(f39(a1),x68032),f331(f79(a1),x68031))) % 159.04/158.76 [6818]~P104(f331(f331(f244(a1),f2(a1)),x68181))+~P104(f331(f331(f245(a876),f331(a108,x68181)),x68182))+P104(f331(f331(f245(a1),x68181),f331(f104(a1),x68182))) % 159.04/158.76 [6853]~P104(f331(f331(f244(a876),f331(a108,x68531)),f331(a108,x68532)))+~P104(f331(f331(f244(a1),f2(a1)),x68532))+P104(f331(f331(f244(a1),x68531),x68532)) % 159.04/158.76 [6854]~P104(f331(f331(f244(a876),f331(a108,x68541)),f331(a108,x68542)))+~P104(f331(f331(f245(a1),f2(a1)),x68541))+P104(f331(f331(f244(a1),x68541),x68542)) % 159.04/158.76 [6882]P104(f331(f331(f244(a1),x68821),x68822))+~P104(f331(f331(f244(a876),f331(f107(a876),x68821)),f331(f107(a876),x68822)))+P104(f331(f331(f244(a1),x68821),a83)) % 159.04/158.76 [6909]P104(f331(f331(f244(a1),f2(a1)),f45(a1,x69091,x69092)))+~P104(f331(f331(f244(a1),f2(a1)),x69092))+~P104(f331(f331(f244(a1),f2(a1)),x69091)) % 159.04/158.76 [7009]P104(f331(f331(f245(a1),a83),x70091))+~P104(f331(f331(f245(a1),x70092),x70091))+~P104(f331(f331(f245(a876),f331(f107(a876),x70092)),f331(f107(a876),x70091))) % 159.04/158.76 [7060]E(f331(f331(f265(a1,a1),f331(f331(f39(a1),x70601),x70602)),f45(a1,x70601,x70602)),f50(x70601,x70602))+~P104(f331(f331(f245(a1),x70601),f2(a1)))+~P104(f331(f331(f245(a1),f2(a1)),x70602)) % 159.04/158.76 [7081]E(f331(f331(f265(a1,a1),f331(f331(f39(a1),x70811),x70812)),f45(a1,x70811,x70812)),f47(x70811,x70812))+~P104(f331(f331(f244(a1),f2(a1)),x70812))+~P104(f331(f331(f244(a1),f2(a1)),x70811)) % 159.04/158.76 [7132]~P95(x71322)+E(x71321,f117(x71322))+E(f331(f141(x71322,x71322,f81(x71322),f331(f140(x71322),x71321)),f331(f171(x71322),x71321)),f331(f64(x71322,f81(x71322)),f331(f172(x71322),x71321))) % 159.04/158.76 [7244]~E(x72441,f2(a876))+E(f331(f141(a876,a876,f80(a876),x72441),x72442),f2(a876))+P104(f331(f331(f333(a876),f587(x72442,x72441)),f331(f172(a876),x72442))) % 159.04/158.76 [7291]~P104(f331(f331(f244(a1),x72911),f2(a1)))+P104(f331(f331(f244(a1),f331(f331(f39(a1),x72911),x72912)),f2(a1)))+~P104(f331(f331(f245(a1),f2(a1)),x72912)) % 159.04/158.76 [7292]~P104(f331(f331(f245(a1),x72922),f2(a1)))+P104(f331(f331(f244(a1),f331(f331(f39(a1),x72921),x72922)),f2(a1)))+~P104(f331(f331(f244(a1),f2(a1)),x72921)) % 159.04/158.76 [7293]~P104(f331(f331(f245(a1),x72932),f2(a1)))+P104(f331(f331(f245(a1),f331(f331(f39(a1),x72931),x72932)),f2(a1)))+~P104(f331(f331(f245(a1),f2(a1)),x72931)) % 159.04/158.76 [7295]~P104(f331(f331(f245(a1),x72951),f2(a1)))+P104(f331(f331(f245(a1),f331(f331(f39(a1),x72951),x72952)),f2(a1)))+~P104(f331(f331(f245(a1),f2(a1)),x72952)) % 159.04/158.76 [7301]P104(f331(f331(f333(f885(x73011,a871)),f653(x73012,x73011)),x73012))+~P104(f331(f62(f885(x73011,a871)),x73012))+P104(f331(f62(x73011),f40(f885(x73011,a871),x73012))) % 159.04/158.76 [7398]P21(x73981,x73981,x73982,f253(f885(x73981,a871)))+~E(f331(f309(x73981,x73981,x73982),f253(f885(x73981,a871))),f253(f885(x73981,a871)))+~P104(f331(f62(x73981),f253(f885(x73981,a871)))) % 159.04/158.76 [7526]~P21(x75261,x75261,x75262,f253(f885(x75261,a871)))+E(f331(f309(x75261,x75261,x75262),f253(f885(x75261,a871))),f253(f885(x75261,a871)))+~P104(f331(f62(x75261),f253(f885(x75261,a871)))) % 159.04/158.76 [7662]E(f331(f331(f39(a1),x76621),x76622),f331(f107(a1),a101))+~P104(f331(f331(f244(a1),f331(f331(f80(a1),x76621),x76622)),f2(a1)))+~P104(f331(f331(f245(a1),f2(a1)),x76621)) % 159.04/158.76 [7721]~P104(f331(f331(f245(a1),x77212),f2(a1)))+~P104(f331(f331(f245(a1),f331(f331(f39(a1),x77211),x77212)),f2(a1)))+P104(f331(f331(f245(a1),f2(a1)),x77211)) % 159.04/158.76 [7726]E(f331(f331(f80(a1),x77261),x77262),f45(a1,x77261,x77262))+~P104(f331(f331(f244(a1),f331(f331(f80(a1),x77261),x77262)),f2(a1)))+~P104(f331(f331(f245(a1),f2(a1)),x77261)) % 159.04/158.76 [7729]P104(f331(f331(f245(a1),x77291),f2(a1)))+~P104(f331(f331(f245(a1),f331(f331(f39(a1),x77291),x77292)),f2(a1)))+~P104(f331(f331(f245(a1),f2(a1)),x77292)) % 159.04/158.76 [8120]~P58(x81201)+~P104(f331(f59(f880(x81201)),x81202))+P104(f331(f59(x81201),f331(f331(f8(f880(x81201),a871,x81201),x81202),f236(x81201)))) % 159.04/158.76 [8431]~P107(x84311)+P30(x84311,x84312)+~P104(f331(f331(f244(x84311),f331(f331(f164(x84311),x84312),f627(x84312,x84311))),f331(f331(f164(x84311),x84312),f628(x84312,x84311)))) % 159.04/158.76 [8432]~P107(x84321)+P30(x84321,x84322)+~P104(f331(f331(f244(x84321),f331(f331(f164(x84321),x84322),f633(x84322,x84321))),f331(f331(f164(x84321),x84322),f643(x84322,x84321)))) % 159.04/158.76 [8586]~P58(x85861)+P104(f331(f58(f880(x85861)),x85862))+~P104(f331(f58(x85861),f331(f331(f8(f880(x85861),a871,x85861),x85862),f236(x85861)))) % 159.04/158.76 [9749]~P58(x97491)+~P58(x97492)+E(f331(f331(f153(f877(x97491),f885(x97492,x97491)),f331(f331(f8(f885(x97492,f880(x97491)),f885(x97492,x97491),f877(x97491)),f73(f880(x97491),x97491,x97492,f241(x97491))),f331(f331(f8(f877(f884(x97492,x97491)),f885(x97492,f880(x97491)),f877(x97491)),f178(x97492,x97491)),f331(f182(x97492,x97491),f56(x97492))))),f55(x97491,f331(f195(f877(x97492)),f56(x97492)),f56(x97491))),f56(f885(x97492,x97491))) % 159.04/158.76 [5679]E(x56791,f2(a1))+~E(f45(a1,x56792,x56791),f2(a1))+E(f331(f331(f39(a1),x56792),f331(f79(a1),x56791)),f331(f79(a1),f331(f331(f39(a1),x56792),x56791))) % 159.04/158.76 [5697]~P41(x56972)+~P41(x56971)+P41(f331(f331(f114(f885(a1,a871)),x56971),x56972)) % 159.04/158.76 [5698]~P41(x56982)+~P41(x56981)+P41(f331(f331(f105(f885(a1,a871)),x56981),x56982)) % 159.04/158.76 [5716]~P59(x57161)+~P92(x57161)+E(f331(f79(x57161),f331(f331(f288(x57161),f78(x57161)),x57162)),f331(f331(f288(x57161),f331(f107(x57161),a101)),x57162)) % 159.04/158.76 [5831]E(x58311,f2(a1))+~E(f45(a1,x58312,x58311),f2(a1))+E(f331(f331(f39(a1),f331(f79(a1),x58312)),x58311),f331(f79(a1),f331(f331(f39(a1),x58312),x58311))) % 159.04/158.76 [5968]~P107(x59681)+P30(x59681,x59682)+P104(f331(f331(f245(a876),f628(x59682,x59681)),f331(f195(f877(x59681)),x59682))) % 159.04/158.76 [5969]~P107(x59691)+P30(x59691,x59692)+P104(f331(f331(f245(a876),f643(x59692,x59691)),f331(f195(f877(x59691)),x59692))) % 159.04/158.76 [6122]~P92(x61221)+~E(f331(f107(x61221),x61222),f2(x61221))+P32(x61221,f331(f107(x61221),f331(f331(f80(a1),x61222),f331(f79(a1),a83)))) % 159.04/158.76 [6123]~P92(x61231)+~E(f331(f107(x61231),x61232),f2(x61231))+P32(x61231,f331(f107(x61231),f331(f331(f80(a1),a83),f331(f79(a1),x61232)))) % 159.04/158.76 [6125]E(f331(a51,f47(f331(f79(a1),x61251),f331(f79(a1),x61252))),f46(x61251,x61252))+P104(f331(f331(f244(a1),f2(a1)),x61251))+P104(f331(f331(f245(a1),f2(a1)),x61252)) % 159.04/158.76 [6255]~E(x62552,f2(a876))+~E(x62551,f2(a876))+P104(f331(f331(f244(a1),f331(f104(a1),x62551)),f331(f79(a1),f331(f104(a1),x62552)))) % 159.04/158.76 [6283]E(f331(f331(f80(a876),f331(f107(a876),x62831)),f331(f107(a876),x62832)),f331(f107(a876),f331(f331(f80(a1),x62831),x62832)))+P104(f331(f331(f245(a1),x62831),a83))+P104(f331(f331(f245(a1),x62832),a83)) % 159.04/158.76 [6410]~P73(x64101)+~P104(f331(f331(f244(x64101),f2(x64101)),x64102))+P104(f331(f331(f244(x64101),f331(f79(x64101),x64102)),x64102)) % 159.04/158.76 [6411]~P73(x64111)+~P104(f331(f331(f245(x64111),f2(x64111)),x64112))+P104(f331(f331(f245(x64111),f331(f79(x64111),x64112)),x64112)) % 159.04/158.76 [6584]E(f331(f331(f22(a876),f331(a108,x65841)),f331(a108,x65842)),f331(a108,f331(f331(f22(a1),x65841),x65842)))+~P104(f331(f331(f244(a1),f2(a1)),x65842))+~P104(f331(f331(f244(a1),x65842),x65841)) % 159.04/158.76 [6617]E(f331(a108,f45(a1,f331(f107(a1),x66171),f331(f107(a1),x66172))),f45(a876,f331(f107(a876),x66171),f331(f107(a876),x66172)))+P104(f331(a200,f331(f107(a1),x66171)))+P104(f331(a200,f331(f107(a1),x66172))) % 159.04/158.76 [6635]~P73(x66351)+P104(f331(f331(f244(x66351),f2(x66351)),x66352))+~P104(f331(f331(f244(x66351),f331(f79(x66351),x66352)),x66352)) % 159.04/158.76 [6636]~P73(x66361)+P104(f331(f331(f245(x66361),f2(x66361)),x66362))+~P104(f331(f331(f245(x66361),f331(f79(x66361),x66362)),x66362)) % 159.04/158.76 [6648]~P73(x66481)+~P104(f331(f331(f244(x66481),f2(x66481)),x66482))+P104(f331(f331(f244(x66481),f2(x66481)),f331(f331(f80(x66481),x66482),x66482))) % 159.04/158.76 [6650]~P73(x66501)+~P104(f331(f331(f245(x66501),f2(x66501)),x66502))+P104(f331(f331(f245(x66501),f2(x66501)),f331(f331(f80(x66501),x66502),x66502))) % 159.04/158.76 [6663]E(f331(f331(f80(a876),f331(a108,x66631)),f331(a108,x66632)),f331(a108,f331(f331(f80(a1),x66631),x66632)))+~P104(f331(f331(f244(a1),f2(a1)),x66632))+~P104(f331(f331(f244(a1),f2(a1)),x66631)) % 159.04/158.76 [6674]E(x66741,f2(a876))+P104(f331(f331(f245(a876),f2(a876)),x66742))+~P104(f331(f331(f245(a876),f2(a876)),f331(f331(f255(a876),x66742),x66741))) % 159.04/158.76 [6704]~P92(x67041)+E(f331(f107(x67041),x67042),f2(x67041))+~P32(x67041,f331(f107(x67041),f331(f331(f80(a1),a83),f331(f79(a1),x67042)))) % 159.04/158.76 [6705]~P92(x67051)+E(f331(f107(x67051),x67052),f2(x67051))+~P32(x67051,f331(f107(x67051),f331(f331(f80(a1),x67052),f331(f79(a1),a83)))) % 159.04/158.76 [6764]~P104(f331(f62(x67641),x67642))+~P104(f331(f62(x67641),f253(f885(x67641,a871))))+P104(f331(f62(x67641),f331(f79(f885(x67641,a871)),x67642))) % 159.04/158.76 [6787]~P104(f331(f331(f245(a1),f2(a1)),x67872))+~P104(f331(f331(f244(a1),x67872),x67871))+P104(f331(f331(f245(a1),f2(a1)),f331(f331(f39(a1),x67871),x67872))) % 159.04/158.76 [6788]~P104(f331(f331(f244(a1),x67881),f2(a1)))+~P104(f331(f331(f245(a1),x67882),f2(a1)))+P104(f331(f331(f244(a1),f2(a1)),f331(f331(f39(a1),x67881),x67882))) % 159.04/158.76 [6826]~P104(f331(f331(f244(a1),f2(a1)),x68262))+~P104(f331(f331(f244(a1),f2(a1)),x68261))+P104(f331(f331(f244(a1),f2(a1)),f331(f331(f81(a1),x68261),x68262))) % 159.04/158.76 [6827]~P104(f331(f331(f244(a1),f2(a1)),x68272))+~P104(f331(f331(f244(a1),f2(a1)),x68271))+P104(f331(f331(f244(a1),f2(a1)),f331(f331(f80(a1),x68271),x68272))) % 159.04/158.76 [6828]~P104(f331(f331(f244(a1),f2(a1)),x68282))+~P104(f331(f331(f244(a1),f2(a1)),x68281))+P104(f331(f331(f244(a1),f2(a1)),f331(f331(f39(a1),x68281),x68282))) % 159.04/158.76 [6829]~P104(f331(f331(f244(a1),f2(a1)),x68291))+~P104(f331(f331(f245(a1),f2(a1)),x68292))+P104(f331(f331(f244(a1),f2(a1)),f331(f331(f39(a1),x68291),x68292))) % 159.04/158.76 [6830]~P104(f331(f331(f245(a876),f2(a876)),x68302))+~P104(f331(f331(f245(a876),f2(a876)),x68301))+P104(f331(f331(f245(a876),f2(a876)),f331(f331(f81(a876),x68301),x68302))) % 159.04/158.76 [6895]E(x68951,f2(a1))+E(f45(a1,x68952,x68951),f2(a1))+E(f331(f331(f22(a1),f331(f79(a1),f331(f331(f39(a1),x68952),x68951))),f78(a1)),f331(f331(f39(a1),f331(f79(a1),x68952)),x68951)) % 159.04/158.76 [6950]P104(f331(f331(f245(a876),f2(a876)),x69501))+P104(f331(f331(f245(a876),f2(a876)),x69502))+~P104(f331(f331(f245(a876),f2(a876)),f331(f331(f80(a876),x69502),x69501))) % 159.04/158.76 [6954]~P73(x69541)+P104(f331(f331(f244(x69541),f2(x69541)),x69542))+~P104(f331(f331(f244(x69541),f2(x69541)),f331(f331(f80(x69541),x69542),x69542))) % 159.04/158.76 [6955]~P73(x69551)+P104(f331(f331(f245(x69551),f2(x69551)),x69552))+~P104(f331(f331(f245(x69551),f2(x69551)),f331(f331(f80(x69551),x69552),x69552))) % 159.04/158.76 [7010]~P104(f331(f62(x70101),x70102))+P104(f331(f62(x70101),f253(f885(x70101,a871))))+~P104(f331(f62(x70101),f331(f79(f885(x70101,a871)),x70102))) % 159.04/158.76 [7073]P104(f331(f331(f244(a1),x70731),f2(a1)))+~P104(f331(f331(f245(a1),x70732),f2(a1)))+~P104(f331(f331(f244(a1),f2(a1)),f331(f331(f39(a1),x70731),x70732))) % 159.04/158.76 [7079]~P104(f331(f331(f245(a1),f2(a1)),x70791))+P104(f331(f331(f244(a1),x70791),x70792))+~P104(f331(f331(f245(a1),f2(a1)),f331(f331(f39(a1),x70792),x70791))) % 159.04/158.76 [7080]~P104(f331(f331(f244(a1),f2(a1)),x70802))+P104(f331(f331(f244(a1),x70801),x70802))+~P104(f331(f331(f245(a1),f2(a1)),f331(f331(f39(a1),x70802),x70801))) % 159.04/158.76 [7109]P104(f331(f331(f244(a1),f2(a1)),x71091))+~P104(f331(f331(f245(a1),f2(a1)),x71092))+~P104(f331(f331(f244(a1),f2(a1)),f331(f331(f39(a1),x71091),x71092))) % 159.04/158.76 [7110]P104(f331(f331(f245(a1),f2(a1)),x71101))+~P104(f331(f331(f244(a1),f2(a1)),x71102))+~P104(f331(f331(f245(a1),f2(a1)),f331(f331(f39(a1),x71102),x71101))) % 159.04/158.76 [7556]~P104(f331(f62(x75562),f253(f885(x75562,a871))))+~P104(f331(f62(x75561),f253(f885(x75561,a871))))+P104(f331(f62(f883(x75561,x75562)),f253(f885(f883(x75561,x75562),a871)))) % 159.04/158.76 [7557]~P104(f331(f62(x75572),f253(f885(x75572,a871))))+~P104(f331(f62(x75571),f253(f885(x75571,a871))))+P104(f331(f62(f884(x75571,x75572)),f253(f885(f884(x75571,x75572),a871)))) % 159.04/158.76 [7626]~P104(f331(f331(f245(a876),f331(a116,f2(a876))),x76261))+~P104(f331(f331(f245(a876),f331(a116,f2(a876))),x76262))+P104(f331(f331(f245(a876),x76261),f331(f331(f81(a876),x76262),x76261))) % 159.04/158.76 [7627]~P104(f331(f331(f245(a876),f331(a116,f2(a876))),x76271))+~P104(f331(f331(f245(a876),f331(a116,f2(a876))),x76272))+P104(f331(f331(f245(a876),x76271),f331(f331(f81(a876),x76271),x76272))) % 159.04/158.76 [7661]E(f331(f38(x76611),f253(f885(x76611,a871))),f331(a116,f2(a876)))+P104(f331(f62(x76612),f253(f885(x76612,a871))))+~P104(f331(f62(f885(x76612,x76611)),f253(f885(f885(x76612,x76611),a871)))) % 159.04/158.76 [7788]~P104(f331(f331(f244(a876),f331(a116,f2(a876))),x77881))+~P104(f331(f331(f244(a876),f331(a116,f2(a876))),x77882))+P104(f331(f331(f244(a876),f331(a116,f2(a876))),f331(f331(f81(a876),x77881),x77882))) % 159.04/158.76 [7789]~P104(f331(f331(f245(a876),f331(a116,f2(a876))),x77892))+~P104(f331(f331(f245(a876),f331(a116,f2(a876))),x77891))+P104(f331(f331(f245(a876),f331(a116,f2(a876))),f331(f331(f81(a876),x77891),x77892))) % 159.04/158.76 [8482]E(x84821,f117(x84822))+~P104(f331(f136(x84822),x84821))+E(f177(x84822,f331(f331(f8(a871,a871,x84822),a326),f331(f331(f7(x84822,x84822,a871),a328),f143(x84822,x84821))),x84821),f118(x84822,x84821)) % 159.04/158.76 [8577]~P41(x85772)+~P41(x85771)+E(f331(f309(a876,a1,f104(a1)),f331(f331(f114(f885(a876,a871)),f331(f309(a1,a876,a108),x85771)),f331(f309(a1,a876,a108),x85772))),f331(f331(f114(f885(a1,a871)),x85771),x85772)) % 159.04/158.76 [8578]~P41(x85782)+~P41(x85781)+E(f331(f309(a876,a1,f104(a1)),f331(f331(f105(f885(a876,a871)),f331(f309(a1,a876,a108),x85781)),f331(f309(a1,a876,a108),x85782))),f331(f331(f105(f885(a1,a871)),x85781),x85782)) % 159.04/158.76 [9230]~P92(x92301)+~E(f331(f107(x92301),x92302),f78(x92301))+P32(x92301,f331(f107(x92301),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f79(a1),x92302)))) % 159.04/158.76 [9465]~P92(x94651)+E(f331(f107(x94651),x94652),f78(x94651))+~P32(x94651,f331(f107(x94651),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f79(a1),x94652)))) % 159.04/158.76 [10194]E(x101941,f2(a1))+E(x101942,f2(a1))+E(f331(f270(a1,a1,a1,a1,f34(a1),f331(f81(a1),f82(a1,x101942))),f331(f331(f331(f100(f884(a1,a1)),f331(f331(a328,f82(a1,x101941)),f82(a1,x101942))),f53(x101941,x101942)),f331(f331(f269(a1,a1,f884(a1,a1)),f331(f331(f18(a1,f885(a1,f884(a1,a1)),f885(a1,f884(a1,a1))),f331(f331(f8(f885(a1,f885(f884(a1,a1),f884(a1,a1))),f885(f885(a1,f884(a1,a1)),f885(a1,f884(a1,a1))),a1),f18(a1,f884(a1,a1),f884(a1,a1))),f331(f331(f8(f884(a1,a1),f885(a1,f885(f884(a1,a1),f884(a1,a1))),a1),f331(f7(a1,f884(a1,a1),f885(f884(a1,a1),f884(a1,a1))),f331(f331(f8(a871,f885(f884(a1,a1),f885(f884(a1,a1),f884(a1,a1))),a1),f100(f884(a1,a1))),f331(f331(f7(a1,a1,a871),a328),f2(a1))))),f331(f331(f7(a1,a1,f884(a1,a1)),f331(f331(f8(a1,f885(a1,f884(a1,a1)),a1),f265(a1,a1)),f79(a1))),f2(a1))))),f331(f331(f7(a1,f885(a1,a1),f885(a1,f884(a1,a1))),f331(f331(f8(f885(a1,f884(a1,a1)),f885(f885(a1,a1),f885(a1,f884(a1,a1))),a1),f8(a1,f884(a1,a1),a1)),f331(f331(f8(a1,f885(a1,f884(a1,a1)),a1),f265(a1,a1)),f331(f331(f7(a1,a1,a1),f331(f331(f8(a1,f885(a1,a1),a1),f22(a1)),f79(a1))),f78(a1))))),f331(f22(a1),f331(f75(a1),x101942))))),f53(x101941,x101942)))),f46(x101941,x101942)) % 159.04/158.76 [10195]E(x101951,f2(a1))+E(x101952,f2(a1))+E(f331(f270(a1,a1,a1,a1,f34(a1),f331(f81(a1),f82(a1,x101952))),f331(f331(f331(f100(f884(a1,a1)),f331(f331(a330,f331(f331(a329,f331(f331(f245(a1),f2(a1)),x101952)),f331(f331(f244(a1),f2(a1)),x101951))),f331(f331(a329,f331(f331(f245(a1),x101952),f2(a1))),f331(f331(f245(a1),x101951),f2(a1))))),f53(x101951,x101952)),f331(f331(f269(a1,a1,f884(a1,a1)),f331(f331(f18(a1,f885(a1,f884(a1,a1)),f885(a1,f884(a1,a1))),f331(f331(f8(f885(a1,f885(f884(a1,a1),f884(a1,a1))),f885(f885(a1,f884(a1,a1)),f885(a1,f884(a1,a1))),a1),f18(a1,f884(a1,a1),f884(a1,a1))),f331(f331(f8(f884(a1,a1),f885(a1,f885(f884(a1,a1),f884(a1,a1))),a1),f331(f7(a1,f884(a1,a1),f885(f884(a1,a1),f884(a1,a1))),f331(f331(f8(a871,f885(f884(a1,a1),f885(f884(a1,a1),f884(a1,a1))),a1),f100(f884(a1,a1))),f331(f331(f7(a1,a1,a871),a328),f2(a1))))),f331(f331(f7(a1,a1,f884(a1,a1)),f331(f331(f8(a1,f885(a1,f884(a1,a1)),a1),f265(a1,a1)),f79(a1))),f2(a1))))),f331(f331(f7(a1,f885(a1,a1),f885(a1,f884(a1,a1))),f331(f331(f8(f885(a1,f884(a1,a1)),f885(f885(a1,a1),f885(a1,f884(a1,a1))),a1),f8(a1,f884(a1,a1),a1)),f331(f331(f8(a1,f885(a1,f884(a1,a1)),a1),f265(a1,a1)),f331(f331(f7(a1,a1,a1),f331(f331(f8(a1,f885(a1,a1),a1),f22(a1)),f79(a1))),f78(a1))))),f331(f22(a1),f331(f75(a1),x101952))))),f53(x101951,x101952)))),f46(x101951,x101952)) % 159.04/158.76 [10196]~P1(a5000)+P20(a872,x101961,f331(f331(f308(f875(a872)),f331(f331(f331(f92(a872),a328),x101962),f201(x101962))),f194(f885(f875(a872),a871))))+~P20(a872,x101961,f331(f331(f308(f875(a872)),f331(f331(f331(f92(a872),f331(f331(f8(f885(a872,f885(a872,a871)),f885(a872,a871),a872),f331(f8(f885(a872,a871),a871,a872),f88(a872))),f331(f331(f8(f885(a872,a871),f885(a872,f885(a872,a871)),a872),f331(f7(a872,f885(a872,a871),f885(a872,a871)),f331(f331(f8(f885(a872,f885(a871,a871)),f885(f885(a872,a871),f885(a872,a871)),a872),f18(a872,a871,a871)),f331(f331(f8(f885(a872,a871),f885(a872,f885(a871,a871)),a872),f331(f8(a871,f885(a871,a871),a872),a334)),f201(x101962))))),a328))),x101962),a328)),f194(f885(f875(a872),a871)))) % 159.04/158.76 [5705]~P119(x57051)+~P92(x57051)+E(f331(f75(x57051),f331(f331(f255(x57051),f331(f107(x57051),a101)),x57052)),f78(x57051)) % 159.04/158.76 [6195]~P138(x61951)+~P104(f331(f331(f245(a1),x61952),f2(a1)))+E(f331(f79(x61951),f331(f104(x61951),f331(a108,f331(f79(a1),x61952)))),f331(f106(x61951),x61952)) % 159.04/158.76 [6394]P104(f331(f331(f244(a103),x63941),f78(a103)))+E(f331(f331(f80(a103),f78(a103)),f278(x63941,f331(f331(f39(a103),x63942),x63941))),f278(x63941,x63942))+P104(f331(f331(f245(a103),x63942),x63941)) % 159.04/158.76 [6995]~P91(x69951)+~P104(f331(f331(f333(x69951),x69952),f113(x69951)))+~E(f331(f331(f80(x69951),f331(f331(f80(x69951),f78(x69951)),x69952)),x69952),f2(x69951)) % 159.04/158.76 [7111]~P104(f331(f331(f244(a1),x71112),f2(a1)))+~P104(f331(f331(f245(a1),x71111),f2(a1)))+E(f331(f264(a1,a1),f331(a51,f47(f331(f79(a1),x71111),f331(f79(a1),x71112)))),f331(f331(f39(a1),x71111),x71112)) % 159.04/158.76 [7128]~P104(f331(f331(f244(a1),x71282),f2(a1)))+~P104(f331(f331(f245(a1),x71281),f2(a1)))+E(f331(f268(a1,a1),f331(a51,f47(f331(f79(a1),x71281),f331(f79(a1),x71282)))),f45(a1,x71281,x71282)) % 159.04/158.76 [7134]~P104(f331(f331(f245(a1),x71342),f2(a1)))+E(f331(f264(a1,a1),f331(a51,f50(f331(f79(a1),x71341),f331(f79(a1),x71342)))),f331(f331(f39(a1),x71341),x71342))+~P104(f331(f331(f245(a1),f2(a1)),x71341)) % 159.04/158.76 [7152]~P104(f331(f331(f245(a1),x71522),f2(a1)))+E(f331(f268(a1,a1),f331(a51,f50(f331(f79(a1),x71521),f331(f79(a1),x71522)))),f45(a1,x71521,x71522))+~P104(f331(f331(f245(a1),f2(a1)),x71521)) % 159.04/158.76 [7205]E(f331(f331(f39(a1),f331(f331(f255(a1),x72051),x72052)),x72051),f331(f331(f255(a1),x72051),f331(f331(f22(a876),x72052),f331(a116,f2(a876)))))+~P104(f331(f331(f245(a876),f2(a876)),x72052))+~P104(f331(f331(f245(a1),f2(a1)),x72051)) % 159.04/158.76 [7298]~P104(f331(f331(f245(a876),f2(a876)),x72981))+~P104(f331(f331(f245(a876),f2(a876)),x72982))+P104(f331(f331(f245(a876),f331(f331(f22(a876),x72981),x72982)),x72981)) % 159.04/158.76 [7299]~P104(f331(f331(f245(a876),f2(a876)),x72991))+~P104(f331(f331(f245(a876),f78(a876)),x72992))+P104(f331(f331(f245(a876),f331(f331(f39(a876),x72991),x72992)),x72991)) % 159.04/158.76 [7300]~P104(f331(f331(f245(a1),f2(a1)),x73001))+~P104(f331(f331(f245(a1),f78(a1)),x73002))+P104(f331(f331(f245(a1),f331(f331(f39(a1),x73001),x73002)),x73001)) % 159.04/158.76 [7448]E(x74481,f2(a876))+~E(x74482,f2(a1))+~P104(f331(f331(f245(a1),f2(a1)),f331(f331(f255(a1),f331(f75(a1),x74482)),x74481))) % 159.04/158.76 [7866]~E(x78662,f117(f877(x78661)))+E(f331(f195(f877(f877(x78661))),f180(x78661,x78662)),f2(a876))+~P30(a876,f331(f168(a876),f331(f331(f153(f877(x78661),a876),f195(f877(x78661))),x78662))) % 159.04/158.76 [8119]P104(f331(x81191,x81192))+~P104(f331(x81191,f331(a110,f702(x81191,x81192))))+~P104(f331(f331(f333(f885(f884(a876,a876),a871)),x81192),a102)) % 159.04/158.76 [8138]E(x81381,f117(f877(x81382)))+E(f331(f195(f877(x81382)),f331(f331(f164(f877(x81382)),x81381),f2(a876))),f331(f195(f877(f877(x81382))),f180(x81382,x81381)))+~P30(a876,f331(f168(a876),f331(f331(f153(f877(x81382),a876),f195(f877(x81382))),x81381))) % 159.04/158.76 [8839]~P104(f331(f62(x88391),f331(f250(x88391),x88392)))+~P104(f331(f62(x88391),f253(f885(x88391,a871))))+P104(f331(f62(x88391),f331(f250(x88391),f331(f331(f8(a871,a871,x88391),a326),x88392)))) % 159.04/158.76 [8902]E(f331(f331(f265(a876,a876),f331(a116,f331(f331(f39(a876),f331(f331(f22(a876),x89021),x89022)),x89022))),f45(a876,f331(f331(f22(a876),x89021),x89022),x89022)),f85(f884(a876,a876),f48(x89021,x89022)))+~P104(f331(f331(f245(a876),f2(a876)),x89022))+~P104(f331(f331(f244(a876),x89022),x89021)) % 159.04/158.76 [9193]~P104(f331(f62(x91931),f331(f250(x91931),x91932)))+P104(f331(f62(x91931),f253(f885(x91931,a871))))+~P104(f331(f62(x91931),f331(f250(x91931),f331(f331(f8(a871,a871,x91931),a326),x91932)))) % 159.04/158.76 [9916]P22(x99161,x99162)+~P39(x99161,f331(f264(f885(f884(x99161,x99161),a871),f885(f884(x99161,x99161),a871)),x99162))+~P104(f331(f331(f244(f885(f884(x99161,x99161),a871)),f331(f331(f287(x99161,x99161,x99161),f331(f264(f885(f884(x99161,x99161),a871),f885(f884(x99161,x99161),a871)),x99162)),f331(f268(f885(f884(x99161,x99161),a871),f885(f884(x99161,x99161),a871)),x99162))),f331(f264(f885(f884(x99161,x99161),a871),f885(f884(x99161,x99161),a871)),x99162))) % 159.04/158.76 [7231]~P104(f331(f331(f245(a876),f2(a876)),x72312))+P104(f331(f331(f245(a876),x72311),x72312))+E(f331(a116,f331(f331(f39(a876),f331(f331(f22(a876),x72311),x72312)),x72312)),f331(f331(f39(a876),x72311),x72312)) % 159.04/158.76 [7368]~P104(f331(f331(f245(a876),f2(a876)),x73682))+~P104(f331(f331(f244(a876),x73682),x73681))+E(f331(a116,f331(f331(f39(a876),f331(f331(f22(a876),x73681),x73682)),x73682)),f331(f331(f39(a876),x73681),x73682)) % 159.04/158.76 [8347]~P92(x83471)+~P91(x83471)+~P32(x83471,f331(f107(x83471),f331(f331(f22(a1),f331(f331(f80(a1),x83472),x83472)),a101))) % 159.04/158.76 [9100]E(x91001,f2(a876))+E(f331(f331(f269(a876,a876,f884(a876,a876)),f331(f331(f8(a876,f885(a876,f884(a876,a876)),a876),f265(a876,a876)),a116)),f85(f884(a876,a876),f48(f331(f331(f22(a876),x91002),x91001),x91001))),f85(f884(a876,a876),f48(x91002,x91001)))+P104(f331(f331(f245(a876),x91002),x91001)) % 159.04/158.76 [9528]P104(f331(x95282,f794(x95282,x95281)))+P104(f331(x95281,f794(x95282,x95281)))+E(f331(f250(a1),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f244(a1),f2(a1)))),x95281)),f331(f250(a1),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f244(a1),f2(a1)))),x95282))) % 159.04/158.76 [9532]~P104(f331(x95322,f794(x95322,x95321)))+~P104(f331(x95321,f794(x95322,x95321)))+E(f331(f250(a1),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f244(a1),f2(a1)))),x95321)),f331(f250(a1),f331(f331(f18(a1,a871,a871),f331(f331(f8(a871,f885(a871,a871),a1),a329),f331(f244(a1),f2(a1)))),x95322))) % 159.04/158.76 [7584]~P60(x75841)+~P92(x75841)+E(f331(f331(f288(x75841),x75842),f331(f107(x75841),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))),x75842) % 159.04/158.76 [9229]~P92(x92291)+~E(f331(f107(x92291),x92292),f78(x92291))+P32(x92291,f331(f107(x92291),f331(f331(f80(a1),x92292),f331(f79(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))) % 159.04/158.76 [9408]~P137(x94081)+~E(x94082,f78(x94081))+E(f331(f331(f255(x94081),x94082),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f78(x94081)) % 159.04/158.76 [9409]~P137(x94091)+~E(x94092,f2(x94091))+E(f331(f331(f255(x94091),x94092),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f2(x94091)) % 159.04/158.76 [9422]~P137(x94221)+~E(x94222,f331(f79(x94221),f78(x94221)))+E(f331(f331(f255(x94221),x94222),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f78(x94221)) % 159.04/158.76 [9466]~P92(x94661)+E(f331(f107(x94661),x94662),f78(x94661))+~P32(x94661,f331(f107(x94661),f331(f331(f80(a1),x94662),f331(f79(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))) % 159.04/158.76 [9850]~P119(x98502)+E(x98501,f2(x98502))+P104(f331(f331(f245(x98502),f2(x98502)),f331(f331(f255(x98502),x98501),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))) % 159.04/158.76 [9915]~P119(x99152)+~E(x99151,f2(x99152))+~P104(f331(f331(f245(x99152),f2(x99152)),f331(f331(f255(x99152),x99151),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))) % 159.04/158.76 [9941]P104(f331(f331(f244(a1),x99411),f2(a1)))+P104(f331(f331(f245(a1),x99412),x99411))+E(f331(f44(x99411),f47(x99412,f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x99411))),f47(x99412,x99411)) % 159.04/158.76 [9942]~P104(f331(f331(f245(a1),f2(a1)),x99421))+P104(f331(f331(f245(a1),x99422),x99421))+E(f331(f44(x99421),f47(x99422,f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x99421))),f47(x99422,x99421)) % 159.04/158.76 [9943]P104(f331(f331(f244(a1),x99431),f2(a1)))+P104(f331(f331(f244(a1),f2(a1)),f331(f331(f80(a1),x99432),x99431)))+E(f331(f44(x99431),f50(x99432,f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x99431))),f50(x99432,x99431)) % 159.04/158.76 [9944]~P104(f331(f331(f245(a1),f2(a1)),x99441))+P104(f331(f331(f244(a1),f2(a1)),f331(f331(f80(a1),x99442),x99441)))+E(f331(f44(x99441),f50(x99442,f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x99441))),f50(x99442,x99441)) % 159.04/158.76 [9945]~P143(x99451)+~P104(f331(f331(f244(a1),f2(a1)),x99452))+E(f331(f104(x99451),f331(a108,f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x99452))),f331(f331(f80(x99451),f331(f104(x99451),f331(a108,x99452))),f331(f104(x99451),f331(a108,x99452)))) % 159.04/158.76 [5042]~P145(x50421,x50423,x50422)+~E(x50423,f2(a1))+P104(f331(x50421,x50422)) % 159.04/158.76 [5163]~P107(x51631)+~P30(x51631,x51633)+P30(x51631,f170(x51631,x51632,x51633)) % 159.04/158.76 [5164]~P107(x51641)+~P30(x51641,x51643)+P30(x51641,f177(x51641,x51642,x51643)) % 159.04/158.76 [4742]~P65(x47422)+~E(x47423,f331(f79(x47422),x47421))+E(x47421,f331(f79(x47422),x47423)) % 159.04/158.76 [4744]~P65(x47441)+~E(f331(f79(x47441),x47443),x47442)+E(f331(f79(x47441),x47442),x47443) % 159.04/158.76 [4820]~P65(x48203)+E(x48201,x48202)+~E(f331(f79(x48203),x48201),f331(f79(x48203),x48202)) % 159.04/158.76 [4821]~P81(x48213)+E(x48211,x48212)+~E(f331(f79(x48213),x48211),f331(f79(x48213),x48212)) % 159.04/158.76 [4822]~P107(x48223)+E(x48221,x48222)+~E(f331(f251(x48223),x48221),f331(f251(x48223),x48222)) % 159.04/158.76 [4823]~P101(x48233)+E(x48231,x48232)+~E(f331(f104(x48233),x48231),f331(f104(x48233),x48232)) % 159.04/158.76 [4824]~P91(x48243)+E(x48241,x48242)+~E(f331(f106(x48243),x48241),f331(f106(x48243),x48242)) % 159.04/158.76 [4825]~P107(x48253)+E(x48251,x48252)+~E(f331(f302(x48253),x48251),f331(f302(x48253),x48252)) % 159.04/158.76 [4826]~P107(x48263)+E(x48261,x48262)+~E(f331(f252(x48263),x48261),f331(f252(x48263),x48262)) % 159.04/158.76 [4827]~P107(x48273)+E(x48271,x48272)+~E(f331(f299(x48273),x48271),f331(f299(x48273),x48272)) % 159.04/158.76 [4929]~P58(x49291)+~P104(f331(x49292,x49293))+P104(f331(f58(x49291),x49292)) % 159.04/158.76 [4962]~P58(x49623)+P104(f331(x49621,x49622))+~P104(f331(f59(x49623),x49621)) % 159.04/158.76 [5060]~P146(x50601,x50602,x50603)+~E(x50602,f2(a1))+P104(f331(x50601,f2(a1))) % 159.04/158.76 [5097]~E(x50971,f2(a876))+E(f339(x50971,x50972,x50973),f194(f885(x50973,a871)))+~E(f331(f38(x50973),x50972),f331(a116,x50971)) % 159.04/158.76 [5252]~E(x52522,f2(a876))+E(f331(f264(a876,a876),x52521),f2(a876))+~P104(f331(f48(x52523,x52522),x52521)) % 159.04/158.76 [5296]P104(f331(x52961,x52962))+~E(x52963,f331(f104(a1),x52962))+~P104(f331(x52961,f331(a108,x52963))) % 159.04/158.76 [5770]~E(x57703,f2(a876))+~P104(f331(x57701,x57702))+P104(f331(x57701,f45(a876,x57702,x57703))) % 159.04/158.76 [5901]~P104(f331(a25,x59013))+~P104(f331(a25,x59012))+P104(f331(a25,f30(x59011,x59012,x59013))) % 159.04/158.76 [5933]~P58(x59333)+~P7(x59333,x59331,x59332)+P104(f331(x59331,f644(x59332,x59331,x59333))) % 159.04/158.76 [5995]~P102(x59952)+~P102(x59951)+E(f132(x59951,x59952,f134(x59951,x59953),f134(x59952,x59953)),f134(f884(x59951,x59952),x59953)) % 159.04/158.76 [6179]~E(x61793,f2(a876))+P104(f331(x61791,x61792))+~P104(f331(x61791,f45(a876,x61792,x61793))) % 159.04/158.76 [6326]~P58(x63261)+P8(x63261,x63262,x63263)+~P104(f331(x63262,f645(x63263,x63262,x63261))) % 159.04/158.76 [6660]E(x66601,f194(f885(x66602,a871)))+~P104(f331(f62(x66602),x66601))+P104(f331(f63(x66602,x66603,x66601),f450(x66603,x66601,x66602))) % 159.04/158.76 [6852]E(x68521,f2(a876))+~P104(f331(x68522,f439(x68521,x68523,x68522)))+P104(f331(x68522,f45(a876,x68523,x68521))) % 159.04/158.76 [6960]~P28(x69601)+~P104(f331(f331(f244(x69601),x69602),f657(x69603,x69602,x69601)))+P104(f331(f331(f244(x69601),x69602),f41(x69601,x69603))) % 159.04/158.76 [6962]~P104(f331(x69621,x69622))+~P104(f331(x69621,f439(x69623,x69622,x69621)))+P104(f331(x69621,f45(a876,x69622,x69623))) % 159.04/158.76 [7066]E(x70661,f117(x70662))+E(f331(f331(f150(x70662),f608(x70663,x70661,x70662)),f611(x70663,x70661,x70662)),x70661)+~P104(f331(f331(f333(f877(x70662)),x70661),f160(x70662,x70663))) % 159.04/158.76 [7097]~P138(x70971)+~P104(f331(f331(f333(x70971),x70972),f113(x70971)))+P104(f331(f331(f333(x70971),f331(f331(f255(x70971),x70972),x70973)),f113(x70971))) % 159.04/158.76 [7417]P39(x74171,x74172)+~P104(f331(f331(f333(x74171),x74173),f755(x74172,x74171)))+P104(f331(f331(f333(x74171),f793(x74172,x74171,x74173)),f755(x74172,x74171))) % 159.04/158.76 [7687]E(x76871,f117(x76872))+~P104(f331(f331(f333(f877(x76872)),x76871),f160(x76872,x76873)))+P104(f331(f331(f333(f877(x76872)),f611(x76873,x76871,x76872)),f160(x76872,x76873))) % 159.04/158.76 [7740]E(x77401,f2(a876))+E(f331(f331(f80(a876),f331(f331(f81(a876),x77401),f440(x77401,x77402,x77403))),f439(x77401,x77402,x77403)),x77402)+P104(f331(x77403,f45(a876,x77402,x77401))) % 159.04/158.76 [7783]~P104(f331(x77833,x77832))+E(f331(f331(f80(a876),f331(f331(f81(a876),x77831),f440(x77831,x77832,x77833))),f439(x77831,x77832,x77833)),x77832)+P104(f331(x77833,f45(a876,x77832,x77831))) % 159.04/158.76 [7922]P104(f331(f331(f245(a1),x79221),f431(x79222,x79223,x79221)))+P104(f331(f331(x79223,f331(f331(f39(a1),x79222),x79221)),f45(a1,x79222,x79221)))+~P104(f331(f331(f245(a1),x79221),f2(a1))) % 159.04/158.76 [8199]P104(f331(f331(x81992,f331(f331(f39(a1),x81991),x81993)),f45(a1,x81991,x81993)))+~P104(f331(f331(f245(a1),x81993),f2(a1)))+P104(f331(f331(f244(a1),f431(x81991,x81992,x81993)),f2(a1))) % 159.04/158.76 [8380]E(f331(f331(f80(a1),f331(f331(f81(a1),x83801),f437(x83802,x83803,x83801))),f431(x83802,x83803,x83801)),x83802)+P104(f331(f331(x83803,f331(f331(f39(a1),x83802),x83801)),f45(a1,x83802,x83801)))+~P104(f331(f331(f245(a1),x83801),f2(a1))) % 159.04/158.76 [8623]~P104(f331(f331(x86231,f437(x86232,x86231,x86233)),f431(x86232,x86231,x86233)))+P104(f331(f331(x86231,f331(f331(f39(a1),x86232),x86233)),f45(a1,x86232,x86233)))+~P104(f331(f331(f245(a1),x86233),f2(a1))) % 159.04/158.76 [8849]~P107(x88491)+~P30(x88491,x88493)+P30(x88491,f148(x88491,x88491,f5(x88491),x88492,x88493)) % 159.04/158.76 [9357]~P124(x93572)+E(x93571,f2(x93572))+~P104(f331(f331(f244(x93572),f331(f331(f80(x93572),f331(f331(f81(x93572),x93573),x93573)),f331(f331(f81(x93572),x93571),x93571))),f2(x93572))) % 159.04/158.76 [9358]~P124(x93582)+E(x93581,f2(x93582))+~P104(f331(f331(f244(x93582),f331(f331(f80(x93582),f331(f331(f81(x93582),x93581),x93581)),f331(f331(f81(x93582),x93583),x93583))),f2(x93582))) % 159.04/158.76 [10132]~P119(x101321)+~P104(f331(f331(f245(x101321),x101322),f2(x101321)))+P104(f331(f331(f245(x101321),f331(f331(f255(x101321),x101322),f331(a116,f331(f331(f81(a876),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x101323)))),f2(x101321))) % 159.04/158.76 [10140]~P119(x101402)+E(x101401,f2(x101402))+~P104(f331(f331(f244(x101402),f331(f331(f80(x101402),f331(f331(f255(x101402),x101403),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f255(x101402),x101401),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))),f2(x101402))) % 159.04/158.76 [10141]~P119(x101412)+E(x101411,f2(x101412))+~P104(f331(f331(f244(x101412),f331(f331(f80(x101412),f331(f331(f255(x101412),x101411),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f255(x101412),x101413),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))),f2(x101412))) % 159.04/158.76 [4776]~E(x47762,x47763)+~P64(x47761)+E(f331(f331(f22(x47761),x47762),x47763),f2(x47761)) % 159.04/158.76 [4777]~E(x47772,x47773)+~P65(x47771)+E(f331(f331(f22(x47771),x47772),x47773),f2(x47771)) % 159.04/158.76 [4790]~P141(x47901)+~E(x47903,f2(x47901))+E(f331(f331(f80(x47901),x47902),x47903),x47902) % 159.04/158.76 [4806]~P140(x48061)+~E(x48063,f2(x48061))+E(f331(f331(f81(x48061),x48062),x48063),f2(x48061)) % 159.04/158.76 [4807]~P140(x48071)+~E(x48072,f2(x48071))+E(f331(f331(f81(x48071),x48072),x48073),f2(x48071)) % 159.04/158.76 [4829]~E(x48293,f117(x48291))+~E(x48292,f117(x48291))+E(f331(f331(f126(x48291),x48292),x48293),f117(x48291)) % 159.04/158.76 [4919]~P141(x49192)+E(x49191,f2(x49192))+~E(f331(f331(f80(x49192),x49193),x49191),x49193) % 159.04/158.76 [4920]~P65(x49201)+~E(x49202,f331(f79(x49201),x49203))+E(f331(f331(f80(x49201),x49202),x49203),f2(x49201)) % 159.04/158.76 [4927]E(x49271,f117(x49272))+E(x49273,f2(a876))+~E(f331(f331(f175(x49272),x49273),x49271),f117(x49272)) % 159.04/158.76 [4933]~P64(x49333)+E(x49331,x49332)+~E(f331(f331(f22(x49333),x49331),x49332),f2(x49333)) % 159.04/158.76 [4934]~P65(x49343)+E(x49341,x49342)+~E(f331(f331(f22(x49343),x49341),x49342),f2(x49343)) % 159.04/158.76 [4943]~P137(x49432)+E(x49431,f2(x49432))+~E(f331(f331(f255(x49432),x49431),x49433),f2(x49432)) % 159.04/158.76 [4944]~P76(x49442)+E(x49441,f194(x49442))+~E(f331(f331(f114(x49442),x49443),x49441),f194(x49442)) % 159.04/158.76 [4945]~P76(x49452)+E(x49451,f194(x49452))+~E(f331(f331(f114(x49452),x49451),x49453),f194(x49452)) % 159.04/158.76 [4946]~P98(x49462)+E(x49461,f253(x49462))+~E(f331(f331(f105(x49462),x49463),x49461),f253(x49462)) % 159.04/158.76 [4947]~P98(x49472)+E(x49471,f253(x49472))+~E(f331(f331(f105(x49472),x49471),x49473),f253(x49472)) % 159.04/158.76 [5013]~P65(x50132)+E(x50131,f331(f79(x50132),x50133))+~E(f331(f331(f80(x50132),x50131),x50133),f2(x50132)) % 159.04/158.76 [5014]~P65(x50141)+E(f331(f79(x50141),x50142),x50143)+~E(f331(f331(f80(x50141),x50142),x50143),f2(x50141)) % 159.04/158.76 [5016]~E(x50162,x50163)+~P105(x50161)+P104(f331(f331(f244(x50161),x50162),x50163)) % 159.04/158.76 [5018]~E(x50182,x50183)+~P108(x50181)+P104(f331(f331(f244(x50181),x50182),x50183)) % 159.04/158.76 [5019]~E(x50192,x50193)+~P94(x50191)+P104(f331(f331(f91(x50191),x50192),x50193)) % 159.04/158.76 [5113]~P110(x51131)+~E(x51132,f331(f79(x51131),x51133))+E(f331(f331(f81(x51131),x51132),x51132),f331(f331(f81(x51131),x51133),x51133)) % 159.04/158.76 [5121]~P107(x51211)+~P30(x51211,x51213)+P30(x51211,f331(f331(f175(x51211),x51212),x51213)) % 159.04/158.76 [5122]~P107(x51221)+~P30(x51221,x51223)+P30(x51221,f331(f331(f137(x51221),x51222),x51223)) % 159.04/158.76 [5161]E(x51611,x51612)+E(x51613,f2(a876))+~E(f331(f331(f81(a876),x51613),x51611),f331(f331(f81(a876),x51613),x51612)) % 159.04/158.76 [5162]E(x51621,x51622)+E(x51623,f2(a876))+~E(f331(f331(f81(a876),x51621),x51623),f331(f331(f81(a876),x51622),x51623)) % 159.04/158.76 [5243]~E(x52432,x52433)+~P108(x52431)+E(f301(x52431,x52432,x52433),f331(f331(f308(x52431),x52432),f194(f885(x52431,a871)))) % 159.04/158.76 [5284]E(x52841,x52842)+~P94(x52843)+~P104(f331(f331(f91(x52843),x52841),x52842)) % 159.04/158.76 [5294]~E(x52941,x52942)+~P107(x52943)+~P104(f331(f331(f245(x52943),x52941),x52942)) % 159.04/158.76 [5295]~E(x52951,x52952)+~P108(x52953)+~P104(f331(f331(f245(x52953),x52951),x52952)) % 159.04/158.76 [5305]~P108(x53051)+E(f331(f300(x53051,x53052),x53053),f194(f885(x53051,a871)))+P104(f331(f331(f245(x53051),x53052),x53053)) % 159.04/158.76 [5354]~P108(x53541)+E(f303(x53541,x53542,x53543),f194(f885(x53541,a871)))+P104(f331(f331(f245(x53541),x53542),x53543)) % 159.04/158.76 [5355]~P108(x53551)+E(f301(x53551,x53552,x53553),f194(f885(x53551,a871)))+P104(f331(f331(f244(x53551),x53552),x53553)) % 159.04/158.76 [5356]~P108(x53561)+E(f194(f885(x53561,a871)),f303(x53561,x53562,x53563))+P104(f331(f331(f245(x53561),x53562),x53563)) % 159.04/158.76 [5357]~P108(x53571)+E(f194(f885(x53571,a871)),f301(x53571,x53572,x53573))+P104(f331(f331(f244(x53571),x53572),x53573)) % 159.04/158.76 [5365]~P99(x53651)+~E(f331(f331(f114(x53651),x53652),x53653),x53653)+P104(f331(f331(f244(x53651),x53652),x53653)) % 159.04/158.76 [5366]~P100(x53661)+~E(f331(f331(f105(x53661),x53662),x53663),x53662)+P104(f331(f331(f244(x53661),x53662),x53663)) % 159.04/158.76 [5367]~P107(x53671)+~E(f331(f331(f242(x53671),x53672),x53673),x53672)+P104(f331(f331(f244(x53671),x53672),x53673)) % 159.04/158.76 [5368]~P107(x53681)+~E(f331(f331(f243(x53681),x53682),x53683),x53683)+P104(f331(f331(f244(x53681),x53682),x53683)) % 159.04/158.76 [5388]~P107(x53881)+P30(x53881,x53882)+~P30(x53881,f331(f331(f150(x53881),x53883),x53882)) % 159.04/158.76 [5389]~P107(x53891)+P30(x53891,x53892)+~P30(x53891,f331(f331(f126(x53891),x53893),x53892)) % 159.04/158.76 [5390]~P107(x53901)+P30(x53901,x53902)+~P30(x53901,f331(f331(f126(x53901),x53902),x53903)) % 159.04/158.76 [5455]~P107(x54551)+P104(f331(f331(f244(x54551),x54553),x54552))+P104(f331(f331(f244(x54551),x54552),x54553)) % 159.04/158.76 [5460]~P107(x54601)+P104(f331(f331(f245(x54601),x54603),x54602))+P104(f331(f331(f244(x54601),x54602),x54603)) % 159.04/158.76 [5499]~P99(x54991)+E(f331(f331(f114(x54991),x54992),x54993),x54992)+~P104(f331(f331(f244(x54991),x54993),x54992)) % 159.04/158.76 [5501]~P99(x55011)+E(f331(f331(f114(x55011),x55012),x55013),x55013)+~P104(f331(f331(f244(x55011),x55012),x55013)) % 159.04/158.76 [5502]~P100(x55021)+E(f331(f331(f105(x55021),x55022),x55023),x55023)+~P104(f331(f331(f244(x55021),x55023),x55022)) % 159.04/158.76 [5504]~P100(x55041)+E(f331(f331(f105(x55041),x55042),x55043),x55042)+~P104(f331(f331(f244(x55041),x55042),x55043)) % 159.04/158.76 [5505]~P107(x55051)+E(f331(f331(f242(x55051),x55052),x55053),x55053)+~P104(f331(f331(f244(x55051),x55053),x55052)) % 159.04/158.76 [5507]~P107(x55071)+E(f331(f331(f242(x55071),x55072),x55073),x55072)+~P104(f331(f331(f244(x55071),x55072),x55073)) % 159.04/158.76 [5508]~P107(x55081)+E(f331(f331(f243(x55081),x55082),x55083),x55082)+~P104(f331(f331(f244(x55081),x55083),x55082)) % 159.04/158.76 [5510]~P107(x55101)+E(f331(f331(f243(x55101),x55102),x55103),x55103)+~P104(f331(f331(f244(x55101),x55102),x55103)) % 159.04/158.76 [5517]~P116(x55172)+E(x55171,f2(x55172))+E(f331(f331(f288(x55172),f331(f79(x55172),x55173)),f331(f79(x55172),x55171)),f331(f331(f288(x55172),x55173),x55171)) % 159.04/158.76 [5562]~P108(x55621)+E(f331(f300(x55621,x55622),x55623),f194(f885(x55621,a871)))+~P104(f331(f331(f244(x55621),x55623),x55622)) % 159.04/158.76 [5594]~P108(x55941)+E(f304(x55941,x55942,x55943),f194(f885(x55941,a871)))+~P104(f331(f331(f244(x55941),x55943),x55942)) % 159.04/158.76 [5595]~P108(x55951)+E(f303(x55951,x55952,x55953),f194(f885(x55951,a871)))+~P104(f331(f331(f244(x55951),x55953),x55952)) % 159.04/158.76 [5596]~P108(x55961)+E(f301(x55961,x55962,x55963),f194(f885(x55961,a871)))+~P104(f331(f331(f245(x55961),x55963),x55962)) % 159.04/158.76 [5647]~E(f331(f331(f22(a876),x56471),x56473),x56472)+E(x56471,f331(f331(f80(a876),x56472),x56473))+~P104(f331(f331(f244(a876),x56473),x56471)) % 159.04/158.76 [5648]~E(x56481,f331(f331(f80(a876),x56483),x56482))+E(f331(f331(f22(a876),x56481),x56482),x56483)+~P104(f331(f331(f244(a876),x56482),x56481)) % 159.04/158.76 [5694]~P104(f331(x56941,x56943))+P104(f331(x56941,f358(x56941,x56942)))+~P104(f331(f331(f245(a876),x56943),x56942)) % 159.04/158.76 [5695]~P104(f331(x56951,x56953))+P104(f331(x56951,f377(x56951,x56952)))+~P104(f331(f331(f244(a876),x56953),x56952)) % 159.04/158.76 [5703]~P108(x57031)+~E(f331(f300(x57031,x57032),x57033),f194(f885(x57031,a871)))+~P104(f331(f331(f245(x57031),x57032),x57033)) % 159.04/158.76 [5708]~P105(x57081)+~P104(f331(f331(f245(x57081),x57082),x57083))+P104(f331(f331(f244(x57081),x57082),x57083)) % 159.04/158.76 [5710]~P108(x57101)+~P104(f331(f331(f245(x57101),x57102),x57103))+P104(f331(f331(f244(x57101),x57102),x57103)) % 159.04/158.76 [5818]~P108(x58181)+~E(f303(x58181,x58182,x58183),f194(f885(x58181,a871)))+~P104(f331(f331(f245(x58181),x58182),x58183)) % 159.04/158.76 [5819]~P108(x58191)+~E(f301(x58191,x58192,x58193),f194(f885(x58191,a871)))+~P104(f331(f331(f244(x58191),x58192),x58193)) % 159.04/158.76 [5820]~P108(x58201)+~E(f194(f885(x58201,a871)),f303(x58201,x58202,x58203))+~P104(f331(f331(f245(x58201),x58202),x58203)) % 159.04/158.76 [5821]~P108(x58211)+~E(f194(f885(x58211,a871)),f301(x58211,x58212,x58213))+~P104(f331(f331(f244(x58211),x58212),x58213)) % 159.04/158.76 [5829]P104(f331(x58291,x58292))+~P104(f331(x58291,f361(x58291,x58293)))+~P104(f331(f331(f245(a876),x58292),x58293)) % 159.04/158.76 [5830]P104(f331(x58301,x58302))+~P104(f331(x58301,f385(x58301,x58303)))+~P104(f331(f331(f244(a876),x58302),x58303)) % 159.04/158.76 [5838]~E(x58381,f331(a116,x58383))+P104(f331(f331(f245(a876),x58381),f331(a116,x58382)))+~P104(f331(f331(f245(a876),x58383),x58382)) % 159.04/158.76 [5854]E(x58541,x58542)+~E(f331(f331(f81(a876),x58543),x58541),f331(f331(f81(a876),x58543),x58542))+~P104(f331(f331(f245(a876),f2(a876)),x58543)) % 159.04/158.76 [5912]E(f331(x59121,f856(x59121,x59122,x59123)),f78(a876))+~E(f331(f331(f6(x59123,a876),x59121),x59122),f78(a876))+~P104(f331(f62(x59123),x59122)) % 159.04/158.76 [5924]~P28(x59241)+P104(f331(f331(f244(x59241),x59242),f40(x59241,x59243)))+~P104(f331(f331(f333(x59241),x59242),x59243)) % 159.04/158.76 [5951]~P105(x59511)+~P104(f331(f331(f245(x59511),x59513),x59512))+~P104(f331(f331(f244(x59511),x59512),x59513)) % 159.04/158.76 [5955]~P105(x59551)+~P104(f331(f331(f245(x59551),x59553),x59552))+~P104(f331(f331(f245(x59551),x59552),x59553)) % 159.04/158.76 [5958]~P107(x59581)+~P104(f331(f331(f245(x59581),x59583),x59582))+~P104(f331(f331(f244(x59581),x59582),x59583)) % 159.04/158.76 [5959]~P107(x59591)+~P104(f331(f331(f245(x59591),x59593),x59592))+~P104(f331(f331(f245(x59591),x59592),x59593)) % 159.04/158.76 [5960]~P108(x59601)+~P104(f331(f331(f245(x59601),x59603),x59602))+~P104(f331(f331(f245(x59601),x59602),x59603)) % 159.04/158.76 [5989]~E(f331(x59892,f857(x59892,x59893,x59891)),f2(a876))+E(f331(f331(f6(x59891,a876),x59892),x59893),f2(a876))+~P104(f331(f62(x59891),x59893)) % 159.04/158.76 [5990]~E(f331(x59902,f807(x59902,x59903,x59901)),f78(a876))+E(f331(f331(f9(x59901,a876),x59902),x59903),f78(a876))+~P104(f331(f62(x59901),x59903)) % 159.04/158.76 [6004]~P106(x60041)+~P104(f331(f331(f245(x60041),x60043),x60042))+P104(f331(f331(f333(x60041),x60042),f331(f302(x60041),x60043))) % 159.04/158.76 [6005]~P106(x60051)+~P104(f331(f331(f244(x60051),x60053),x60052))+P104(f331(f331(f333(x60051),x60052),f331(f252(x60051),x60053))) % 159.04/158.76 [6006]~P106(x60061)+~P104(f331(f331(f245(x60061),x60062),x60063))+P104(f331(f331(f333(x60061),x60062),f331(f251(x60061),x60063))) % 159.04/158.76 [6007]~P106(x60071)+~P104(f331(f331(f244(x60071),x60072),x60073))+P104(f331(f331(f333(x60071),x60072),f331(f299(x60071),x60073))) % 159.04/158.76 [6019]E(f331(x60191,f349(x60191,x60192,x60193)),f331(a116,f2(a876)))+~E(f331(f331(f6(x60193,a876),x60191),x60192),f331(a116,f2(a876)))+~P104(f331(f62(x60193),x60192)) % 159.04/158.76 [6102]~P28(x61021)+~P104(f331(f331(f333(x61021),x61023),x61022))+P104(f331(f331(f244(x61021),f41(x61021,x61022)),x61023)) % 159.04/158.76 [6119]~P104(f331(f331(f244(a876),x61191),x61193))+P104(f331(f331(f244(a876),x61191),x61192))+~P104(f331(f331(f244(a876),x61193),x61192)) % 159.04/158.76 [6120]~P104(f331(f331(f244(a1),x61201),x61203))+P104(f331(f331(f244(a1),x61201),x61202))+~P104(f331(f331(f244(a1),x61203),x61202)) % 159.04/158.76 [6137]~P106(x61371)+~P104(f331(f331(f333(x61371),x61373),f331(f252(x61371),x61372)))+P104(f331(f331(f244(x61371),x61372),x61373)) % 159.04/158.76 [6138]~P106(x61381)+~P104(f331(f331(f333(x61381),x61382),f331(f299(x61381),x61383)))+P104(f331(f331(f244(x61381),x61382),x61383)) % 159.04/158.76 [6139]~P106(x61391)+~P104(f331(f331(f333(x61391),x61393),f331(f302(x61391),x61392)))+P104(f331(f331(f245(x61391),x61392),x61393)) % 159.04/158.76 [6140]~P106(x61401)+~P104(f331(f331(f333(x61401),x61402),f331(f251(x61401),x61403)))+P104(f331(f331(f245(x61401),x61402),x61403)) % 159.04/158.76 [6261]P104(f331(x62611,x62612))+~P104(f331(x62611,f563(x62611)))+~P104(f331(f331(f333(x62613),x62612),f253(f885(x62613,a871)))) % 159.04/158.76 [6360]~P61(x63601)+P104(f331(f331(f245(x63601),f2(x63601)),f428(x63603,x63602,x63601)))+P104(f331(f331(f244(x63601),x63602),x63603)) % 159.04/158.76 [6427]~P77(x64271)+~P104(f331(f331(f244(x64271),x64273),f331(f79(x64271),x64272)))+P104(f331(f331(f244(x64271),x64272),f331(f79(x64271),x64273))) % 159.04/158.76 [6429]~P77(x64291)+~P104(f331(f331(f245(x64291),x64293),f331(f79(x64291),x64292)))+P104(f331(f331(f245(x64291),x64292),f331(f79(x64291),x64293))) % 159.04/158.76 [6441]~P104(f331(f331(f245(a876),x64411),x64413))+~P104(f331(f331(f245(a876),x64413),x64412))+P104(f331(f331(f245(a876),f331(a116,x64411)),x64412)) % 159.04/158.76 [6467]~P122(x64671)+P104(f331(f331(f244(x64671),f331(f104(x64671),x64672)),f331(f104(x64671),x64673)))+~P104(f331(f331(f244(a876),x64672),x64673)) % 159.04/158.76 [6468]~P119(x64681)+P104(f331(f331(f244(x64681),f331(f106(x64681),x64682)),f331(f106(x64681),x64683)))+~P104(f331(f331(f244(a1),x64682),x64683)) % 159.04/158.76 [6470]~P119(x64701)+P104(f331(f331(f245(x64701),f331(f106(x64701),x64702)),f331(f106(x64701),x64703)))+~P104(f331(f331(f245(a1),x64702),x64703)) % 159.04/158.76 [6471]~P122(x64711)+P104(f331(f331(f245(x64711),f331(f104(x64711),x64712)),f331(f104(x64711),x64713)))+~P104(f331(f331(f245(a876),x64712),x64713)) % 159.04/158.76 [6477]~P107(x64771)+E(f331(f331(f114(f885(x64771,a871)),f331(f251(x64771),x64772)),f331(f300(x64771,x64772),x64773)),f331(f251(x64771),x64773))+~P104(f331(f331(f244(x64771),x64772),x64773)) % 159.04/158.76 [6507]~P77(x65071)+~P104(f331(f331(f244(x65071),x65073),x65072))+P104(f331(f331(f244(x65071),f331(f79(x65071),x65072)),f331(f79(x65071),x65073))) % 159.04/158.76 [6509]~P81(x65091)+~P104(f331(f331(f244(x65091),x65093),x65092))+P104(f331(f331(f244(x65091),f331(f79(x65091),x65092)),f331(f79(x65091),x65093))) % 159.04/158.76 [6510]~P77(x65101)+~P104(f331(f331(f245(x65101),x65103),x65102))+P104(f331(f331(f245(x65101),f331(f79(x65101),x65102)),f331(f79(x65101),x65103))) % 159.04/158.76 [6542]~P107(x65421)+E(f331(f331(f114(f885(x65421,a871)),f331(f251(x65421),x65422)),f301(x65421,x65422,x65423)),f331(f299(x65421),x65423))+~P104(f331(f331(f244(x65421),x65422),x65423)) % 159.04/158.76 [6543]~P107(x65431)+E(f331(f331(f114(f885(x65431,a871)),f331(f299(x65431),x65432)),f304(x65431,x65432,x65433)),f331(f251(x65431),x65433))+~P104(f331(f331(f245(x65431),x65432),x65433)) % 159.04/158.76 [6544]~P107(x65441)+E(f331(f331(f114(f885(x65441,a871)),f331(f299(x65441),x65442)),f303(x65441,x65442,x65443)),f331(f299(x65441),x65443))+~P104(f331(f331(f244(x65441),x65442),x65443)) % 159.04/158.76 [6579]~P107(x65791)+E(f331(f331(f114(f885(x65791,a871)),f331(f300(x65791,x65792),x65793)),f331(f252(x65791),x65793)),f331(f252(x65791),x65792))+~P104(f331(f331(f244(x65791),x65792),x65793)) % 159.04/158.76 [6735]~P107(x67351)+E(f331(f331(f114(f885(x67351,a871)),f304(x67351,x67352,x67353)),f331(f252(x67351),x67353)),f331(f302(x67351),x67352))+~P104(f331(f331(f245(x67351),x67352),x67353)) % 159.04/158.76 [6736]~P107(x67361)+E(f331(f331(f114(f885(x67361,a871)),f303(x67361,x67362,x67363)),f331(f302(x67361),x67363)),f331(f302(x67361),x67362))+~P104(f331(f331(f244(x67361),x67362),x67363)) % 159.04/158.76 [6737]~P107(x67371)+E(f331(f331(f114(f885(x67371,a871)),f301(x67371,x67372,x67373)),f331(f302(x67371),x67373)),f331(f252(x67371),x67372))+~P104(f331(f331(f244(x67371),x67372),x67373)) % 159.04/158.76 [6755]P104(f331(x67551,x67552))+~P104(f331(f331(f244(a876),x67552),x67553))+P104(f331(f331(f333(a876),f385(x67551,x67553)),f301(a876,f2(a876),x67553))) % 159.04/158.76 [6789]E(x67891,x67892)+~E(f331(f331(f164(x67893),x67891),f540(x67893,x67892,x67891)),f331(f331(f164(x67893),x67892),f540(x67893,x67892,x67891)))+~E(f331(f195(f877(x67893)),x67891),f331(f195(f877(x67893)),x67892)) % 159.04/158.76 [6794]~E(x67943,f331(f331(f39(a876),x67941),x67942))+~P104(f331(f331(f245(a876),f2(a876)),x67942))+P104(f331(f331(f245(a876),x67941),f331(f331(f81(a876),x67942),f331(a116,x67943)))) % 159.04/158.76 [6811]~P104(f331(x68111,x68113))+~P104(f331(f331(f244(a876),x68113),x68112))+P104(f331(f331(f333(a876),f377(x68111,x68112)),f301(a876,f2(a876),x68112))) % 159.04/158.76 [6849]~P104(f331(x68491,x68493))+P104(f331(x68491,f386(x68491,x68492)))+~P104(f331(f331(f333(a876),x68493),f301(a876,f2(a876),x68492))) % 159.04/158.76 [6868]~P122(x68683)+~P104(f331(f331(f244(x68683),f331(f104(x68683),x68681)),f331(f104(x68683),x68682)))+P104(f331(f331(f244(a876),x68681),x68682)) % 159.04/158.76 [6869]~P119(x68693)+~P104(f331(f331(f244(x68693),f331(f106(x68693),x68691)),f331(f106(x68693),x68692)))+P104(f331(f331(f244(a1),x68691),x68692)) % 159.04/158.76 [6871]~P122(x68713)+~P104(f331(f331(f245(x68713),f331(f104(x68713),x68711)),f331(f104(x68713),x68712)))+P104(f331(f331(f245(a876),x68711),x68712)) % 159.04/158.76 [6872]~P119(x68723)+~P104(f331(f331(f245(x68723),f331(f106(x68723),x68721)),f331(f106(x68723),x68722)))+P104(f331(f331(f245(a1),x68721),x68722)) % 159.04/158.76 [6889]~P122(x68891)+~P104(f331(f331(f245(x68891),f78(x68891)),x68892))+P104(f331(f331(f245(x68891),f78(x68891)),f331(f331(f255(x68891),x68892),f331(a116,x68893)))) % 159.04/158.76 [6891]~P77(x68911)+~P104(f331(f331(f244(x68911),f331(f79(x68911),x68913)),f331(f79(x68911),x68912)))+P104(f331(f331(f244(x68911),x68912),x68913)) % 159.04/158.76 [6892]~P81(x68921)+~P104(f331(f331(f244(x68921),f331(f79(x68921),x68923)),f331(f79(x68921),x68922)))+P104(f331(f331(f244(x68921),x68922),x68923)) % 159.04/158.76 [6893]~P77(x68931)+~P104(f331(f331(f245(x68931),f331(f79(x68931),x68933)),f331(f79(x68931),x68932)))+P104(f331(f331(f245(x68931),x68932),x68933)) % 159.04/158.76 [6919]P104(f331(x69191,x69192))+~P104(f331(x69191,f387(x69191,x69193)))+~P104(f331(f331(f333(a876),x69192),f301(a876,f2(a876),x69193))) % 159.04/158.76 [6938]~P61(x69381)+P104(f331(f331(f245(x69381),f428(x69383,x69382,x69381)),f78(x69381)))+P104(f331(f331(f244(x69381),x69382),x69383)) % 159.04/158.76 [6957]~E(f45(a876,x69573,x69572),f45(a876,x69571,x69572))+E(f331(f331(f80(a876),x69571),f331(f331(f81(a876),x69572),f461(x69571,x69572,x69573))),x69573)+~P104(f331(f331(f244(a876),x69571),x69573)) % 159.04/158.76 [6976]E(f331(x69761,f821(x69761,x69762,x69763)),f197(x69762))+~P104(f331(f62(x69763),f184(x69763,x69762,x69761)))+P104(f331(f62(x69763),f253(f885(x69763,a871)))) % 159.04/158.76 [7017]E(f331(f331(f6(x70171,a876),x70172),x70173),f2(a876))+~P104(f331(f62(x70171),x70173))+P104(f331(f331(f333(x70171),f857(x70172,x70173,x70171)),x70173)) % 159.04/158.76 [7018]E(f331(f331(f9(x70181,a876),x70182),x70183),f78(a876))+~P104(f331(f62(x70181),x70183))+P104(f331(f331(f333(x70181),f807(x70182,x70183,x70181)),x70183)) % 159.04/158.76 [7040]~P107(x70401)+~P104(f331(f331(f244(x70401),x70402),x70403))+P104(f331(f331(f244(f885(x70401,a871)),f331(f251(x70401),x70402)),f331(f251(x70401),x70403))) % 159.04/158.76 [7041]~P107(x70411)+~P104(f331(f331(f244(x70411),x70413),x70412))+P104(f331(f331(f244(f885(x70411,a871)),f331(f302(x70411),x70412)),f331(f302(x70411),x70413))) % 159.04/158.76 [7042]~P108(x70421)+~P104(f331(f331(f244(x70421),x70423),x70422))+P104(f331(f331(f244(f885(x70421,a871)),f331(f252(x70421),x70422)),f331(f252(x70421),x70423))) % 159.04/158.76 [7043]~P108(x70431)+~P104(f331(f331(f244(x70431),x70432),x70433))+P104(f331(f331(f244(f885(x70431,a871)),f331(f299(x70431),x70432)),f331(f299(x70431),x70433))) % 159.04/158.76 [7044]~P107(x70441)+~P104(f331(f331(f245(x70441),x70442),x70443))+P104(f331(f331(f245(f885(x70441,a871)),f331(f251(x70441),x70442)),f331(f251(x70441),x70443))) % 159.04/158.76 [7052]~P28(x70521)+P104(f331(f331(f244(x70521),x70522),f41(x70521,x70523)))+P104(f331(f331(f333(x70521),f657(x70523,x70522,x70521)),x70523)) % 159.04/158.76 [7058]~P77(x70581)+P104(f331(f331(f244(x70581),f331(f331(f22(x70581),x70582),x70583)),f2(x70581)))+~P104(f331(f331(f244(x70581),x70582),x70583)) % 159.04/158.76 [7059]~P77(x70591)+P104(f331(f331(f245(x70591),f331(f331(f22(x70591),x70592),x70593)),f2(x70591)))+~P104(f331(f331(f245(x70591),x70592),x70593)) % 159.04/158.76 [7101]P104(f331(x71011,x71012))+P104(f331(f331(f244(a876),f387(x71011,x71013)),x71013))+~P104(f331(f331(f333(a876),x71012),f301(a876,f2(a876),x71013))) % 159.04/158.76 [7141]~E(f331(f331(f6(x71411,a876),x71412),x71413),f78(a876))+~P104(f331(f62(x71411),x71413))+P104(f331(f331(f333(x71411),f856(x71412,x71413,x71411)),x71413)) % 159.04/158.76 [7142]~P104(f331(x71421,x71423))+P104(f331(f331(f244(a876),f386(x71421,x71422)),x71422))+~P104(f331(f331(f333(a876),x71423),f301(a876,f2(a876),x71422))) % 159.04/158.76 [7182]~P28(x71821)+P104(f331(f331(f333(x71821),f655(x71823,x71822,x71821)),x71822))+P104(f331(f331(f244(x71821),f40(x71821,x71822)),x71823)) % 159.04/158.76 [7213]~E(f331(f331(f6(x72131,a876),x72132),x72133),f331(a116,f2(a876)))+~P104(f331(f62(x72131),x72133))+P104(f331(f331(f333(x72131),f349(x72132,x72133,x72131)),x72133)) % 159.04/158.76 [7224]E(x72241,f2(a876))+P104(f331(x72242,f45(a876,x72243,x72241)))+P104(f331(f331(f245(a876),f439(x72241,x72243,x72242)),x72241)) % 159.04/158.76 [7329]~P104(f331(x73291,x73292))+P104(f331(x73291,f45(a876,x73292,x73293)))+P104(f331(f331(f245(a876),f439(x73293,x73292,x73291)),x73293)) % 159.04/158.76 [7452]E(x74521,f117(x74522))+~P104(f331(f331(f333(f877(x74522)),x74521),f160(x74522,x74523)))+P104(f331(f331(f333(x74522),f608(x74523,x74521,x74522)),x74523)) % 159.04/158.76 [7474]~P107(x74741)+E(f331(f331(f114(f885(x74741,a871)),f331(f331(f308(x74741),x74742),f194(f885(x74741,a871)))),f304(x74741,x74742,x74743)),f331(f300(x74741,x74742),x74743))+~P104(f331(f331(f245(x74741),x74742),x74743)) % 159.04/158.76 [7500]~P107(x75001)+E(f331(f331(f114(f885(x75001,a871)),f331(f331(f308(x75001),x75002),f194(f885(x75001,a871)))),f303(x75001,x75002,x75003)),f301(x75001,x75002,x75003))+~P104(f331(f331(f244(x75001),x75002),x75003)) % 159.04/158.76 [7606]~P107(x76061)+P104(f331(f331(f244(x76061),x76062),x76063))+~P104(f331(f331(f244(f885(x76061,a871)),f331(f302(x76061),x76063)),f331(f302(x76061),x76062))) % 159.04/158.76 [7607]~P108(x76071)+P104(f331(f331(f244(x76071),x76072),x76073))+~P104(f331(f331(f244(f885(x76071,a871)),f331(f252(x76071),x76073)),f331(f252(x76071),x76072))) % 159.04/158.76 [7608]~P107(x76081)+P104(f331(f331(f244(x76081),x76082),x76083))+~P104(f331(f331(f244(f885(x76081,a871)),f331(f251(x76081),x76082)),f331(f251(x76081),x76083))) % 159.04/158.76 [7609]~P108(x76091)+P104(f331(f331(f244(x76091),x76092),x76093))+~P104(f331(f331(f244(f885(x76091,a871)),f331(f299(x76091),x76092)),f331(f299(x76091),x76093))) % 159.04/158.76 [7610]~P107(x76101)+P104(f331(f331(f245(x76101),x76102),x76103))+~P104(f331(f331(f245(f885(x76101,a871)),f331(f251(x76101),x76102)),f331(f251(x76101),x76103))) % 159.04/158.76 [7633]~P77(x76331)+~P104(f331(f331(f244(x76331),f331(f331(f22(x76331),x76332),x76333)),f2(x76331)))+P104(f331(f331(f244(x76331),x76332),x76333)) % 159.04/158.76 [7634]~P77(x76341)+~P104(f331(f331(f245(x76341),f331(f331(f22(x76341),x76342),x76343)),f2(x76341)))+P104(f331(f331(f245(x76341),x76342),x76343)) % 159.04/158.76 [7790]E(x77901,f2(a876))+~E(f331(f141(a876,a876,f80(a876),x77902),x77903),f2(a876))+~P104(f331(f331(f333(a876),x77901),f331(f172(a876),x77903))) % 159.04/158.76 [7794]~P28(x77941)+~P104(f331(f331(f244(x77941),f655(x77943,x77942,x77941)),x77943))+P104(f331(f331(f244(x77941),f40(x77941,x77942)),x77943)) % 159.04/158.76 [7948]P104(f331(f331(f244(a1),f2(a1)),f432(x79481,x79482,x79483)))+P104(f331(f331(x79482,f331(f331(f39(a1),x79481),x79483)),f45(a1,x79481,x79483)))+~P104(f331(f331(f245(a1),f2(a1)),x79483)) % 159.04/158.76 [8042]E(x80421,x80422)+~E(f331(f195(f877(x80423)),x80421),f331(f195(f877(x80423)),x80422))+~P104(f331(f331(f269(x80423,x80423,a871),a328),f566(x80423,x80421,x80422))) % 159.04/158.76 [8110]~P39(x81102,x81103)+E(x81101,f194(f885(x81102,a871)))+~P104(f331(f331(f244(f885(x81102,a871)),x81101),f331(f284(x81102,x81102,x81103),x81101))) % 159.04/158.76 [8180]P49(x81801,x81802,x81803)+P104(f331(f331(f333(x81801),f569(x81803,x81802,x81801)),x81802))+P104(f331(f331(f333(f884(x81801,x81801)),f570(x81803,x81802,x81801)),x81803)) % 159.04/158.76 [8203]P104(f331(f331(x82032,f331(f331(f39(a1),x82031),x82033)),f45(a1,x82031,x82033)))+~P104(f331(f331(f245(a1),f2(a1)),x82033))+P104(f331(f331(f245(a1),f432(x82031,x82032,x82033)),x82033)) % 159.04/158.76 [8227]E(f331(f309(a876,a876,f331(f331(f7(a876,a876,a876),f22(a876)),x82271)),f331(f300(a876,x82272),x82273)),f194(f885(a876,a871)))+P104(f331(f331(f245(a876),x82271),x82273))+P104(f331(f331(f245(a876),x82272),x82273)) % 159.04/158.76 [8333]E(f331(f309(a876,a876,f331(f331(f7(a876,a876,a876),f22(a876)),x83331)),f331(f300(a876,x83332),x83333)),f331(f331(f308(a876),f2(a876)),f194(f885(a876,a871))))+P104(f331(f331(f245(a876),x83331),x83333))+~P104(f331(f331(f245(a876),x83332),x83333)) % 159.04/158.76 [8350]~P107(x83501)+E(f148(x83501,x83501,f5(x83501),x83502,x83503),x83503)+~P104(f331(f331(f333(x83501),x83502),f331(f172(x83501),x83503))) % 159.04/158.76 [8364]P21(x83641,x83641,x83642,x83643)+~P104(f331(f62(x83641),x83643))+~P104(f331(f331(f244(f885(x83641,a871)),x83643),f331(f309(x83641,x83641,x83642),x83643))) % 159.04/158.76 [8387]E(f331(f331(f80(a1),f331(f331(f81(a1),x83871),f436(x83872,x83873,x83871))),f432(x83872,x83873,x83871)),x83872)+P104(f331(f331(x83873,f331(f331(f39(a1),x83872),x83871)),f45(a1,x83872,x83871)))+~P104(f331(f331(f245(a1),f2(a1)),x83871)) % 159.04/158.76 [8629]~P104(f331(f331(x86291,f436(x86292,x86291,x86293)),f432(x86292,x86291,x86293)))+P104(f331(f331(x86291,f331(f331(f39(a1),x86292),x86293)),f45(a1,x86292,x86293)))+~P104(f331(f331(f245(a1),f2(a1)),x86293)) % 159.04/158.76 [9495]~P104(f331(f62(x94951),x94952))+~P104(f331(f331(f333(x94951),x94953),x94952))+P104(f331(f331(f245(a876),f331(f38(x94951),f331(f331(f22(f885(x94951,a871)),x94952),f331(f331(f308(x94951),x94953),f194(f885(x94951,a871)))))),f331(f38(x94951),x94952))) % 159.04/158.76 [10093]P49(x100931,x100932,x100933)+~P104(f331(f331(f269(x100931,x100931,a871),f331(f331(f7(x100931,f885(x100931,a871),f885(x100931,a871)),f331(f331(f8(f885(a871,a871),f885(f885(x100931,a871),f885(x100931,a871)),x100931),f8(a871,a871,x100931)),f331(f331(f8(a871,f885(a871,a871),x100931),a329),f331(f331(f7(x100931,f885(x100931,a871),a871),f333(x100931)),x100932)))),f331(f331(f7(x100931,f885(x100931,a871),a871),f333(x100931)),x100932))),f570(x100933,x100932,x100931)))+P104(f331(f331(f333(x100931),f569(x100933,x100932,x100931)),x100932)) % 159.04/158.76 [5477]~P116(x54772)+E(x54771,f2(x54772))+E(f331(f331(f288(x54772),x54773),f331(f79(x54772),x54771)),f331(f79(x54772),f331(f331(f288(x54772),x54773),x54771))) % 159.04/158.76 [5610]~E(x56103,f194(f885(x56101,a871)))+~E(x56102,f194(f885(x56101,a871)))+E(f331(f331(f114(f885(x56101,a871)),x56102),x56103),f194(f885(x56101,a871))) % 159.04/158.76 [5668]~E(x56683,f2(a876))+~P104(f331(x56681,f2(a876)))+P104(f331(x56681,f331(f331(f39(a876),x56682),x56683))) % 159.04/158.76 [5810]~P62(x58102)+E(x58101,f2(x58102))+E(f331(f331(f288(x58102),f331(f75(x58102),x58103)),f331(f75(x58102),x58101)),f331(f75(x58102),f331(f331(f288(x58102),x58103),x58101))) % 159.04/158.76 [5978]~P104(f331(f62(x59781),x59783))+E(f331(f38(x59781),f331(f331(f308(x59781),x59782),x59783)),f331(a116,f331(f38(x59781),x59783)))+P104(f331(f331(f333(x59781),x59782),x59783)) % 159.04/158.76 [6051]~E(x60512,f2(a876))+P104(f331(x60511,f2(a876)))+~P104(f331(x60511,f331(f331(f39(a876),x60513),x60512))) % 159.04/158.76 [6070]~P104(f331(f62(x60701),x60703))+E(f331(f38(x60701),f331(f331(f308(x60701),x60702),x60703)),f331(f38(x60701),x60703))+~P104(f331(f331(f333(x60701),x60702),x60703)) % 159.04/158.76 [6104]~P104(f331(f62(x61041),x61043))+E(f331(f38(x61041),f331(f331(f308(x61041),x61042),x61043)),f331(f331(f80(a876),f78(a876)),f331(f38(x61041),x61043)))+P104(f331(f331(f333(x61041),x61042),x61043)) % 159.04/158.76 [6223]E(f331(f331(f80(a876),x62231),f863(x62231,x62232,x62233)),x62232)+~P104(f331(x62233,f2(a876)))+P104(f331(x62233,f331(f331(f22(a876),x62232),x62231))) % 159.04/158.76 [6224]E(f331(f331(f80(a876),x62241),f864(x62241,x62242,x62243)),x62242)+~P104(f331(x62243,f2(a876)))+P104(f331(x62243,f331(f331(f22(a876),x62242),x62241))) % 159.04/158.76 [6271]~P28(x62711)+~P104(f331(f62(x62711),x62713))+E(f331(f331(f65(x62711,x62711,f114(x62711)),x62712),x62713),f331(f331(f114(x62711),x62712),f40(x62711,x62713))) % 159.04/158.76 [6272]~P28(x62721)+~P104(f331(f62(x62721),x62723))+E(f331(f331(f65(x62721,x62721,f105(x62721)),x62722),x62723),f331(f331(f105(x62721),x62722),f41(x62721,x62723))) % 159.04/158.76 [6278]~P92(x62781)+~E(f331(f107(x62781),x62782),f331(f107(x62781),x62783))+P32(x62781,f331(f107(x62781),f331(f331(f80(a1),x62782),f331(f79(a1),x62783)))) % 159.04/158.76 [6285]~P138(x62851)+E(f331(f331(f22(x62851),f331(f104(x62851),x62852)),f331(f104(x62851),x62853)),f331(f104(x62851),f331(f331(f22(a876),x62852),x62853)))+~P104(f331(f331(f244(a876),x62853),x62852)) % 159.04/158.76 [6370]E(f331(f331(f80(a876),x63701),f863(x63701,x63702,x63703)),x63702)+P104(f331(f331(f245(a876),x63702),x63701))+P104(f331(x63703,f331(f331(f22(a876),x63702),x63701))) % 159.04/158.76 [6371]E(f331(f331(f80(a876),x63711),f864(x63711,x63712,x63713)),x63712)+P104(f331(f331(f245(a876),x63712),x63711))+P104(f331(x63713,f331(f331(f22(a876),x63712),x63711))) % 159.04/158.76 [6386]~P119(x63861)+E(f331(f331(f81(x63861),f331(f75(x63861),x63862)),x63863),f331(f75(x63861),f331(f331(f81(x63861),x63862),x63863)))+~P104(f331(f331(f244(x63861),f2(x63861)),x63863)) % 159.04/158.76 [6387]~P61(x63871)+E(f331(f331(f288(x63871),f331(f75(x63871),x63872)),x63873),f331(f75(x63871),f331(f331(f288(x63871),x63872),x63873)))+~P104(f331(f331(f245(x63871),f2(x63871)),x63873)) % 159.04/158.76 [6395]~P75(x63951)+~P104(f331(f62(x63951),x63953))+E(f331(f331(f65(x63951,x63951,f105(x63951)),x63952),x63953),f11(x63951,f331(f331(f308(x63951),x63952),x63953))) % 159.04/158.76 [6396]~P75(x63961)+~P104(f331(f62(x63961),x63963))+E(f331(f331(f65(x63961,x63961,f114(x63961)),x63962),x63963),f10(x63961,f331(f331(f308(x63961),x63962),x63963))) % 159.04/158.76 [6397]~P107(x63971)+~P104(f331(f62(x63971),x63973))+E(f331(f331(f65(x63971,x63971,f242(x63971)),x63972),x63973),f14(x63971,f331(f331(f308(x63971),x63972),x63973))) % 159.04/158.76 [6398]~P107(x63981)+~P104(f331(f62(x63981),x63983))+E(f331(f331(f65(x63981,x63981,f243(x63981)),x63982),x63983),f15(x63981,f331(f331(f308(x63981),x63982),x63983))) % 159.04/158.76 [6443]E(x64431,f117(x64432))+~E(f180(x64432,x64433),f117(f877(x64432)))+~P104(f331(f331(f333(f877(x64432)),x64431),f331(f172(f877(x64432)),x64433))) % 159.04/158.76 [6485]~P104(f331(f136(x64851),x64853))+P104(f331(f331(f333(x64851),x64852),f331(f172(x64851),x64853)))+P104(f331(f136(x64851),f331(f331(f150(x64851),x64852),x64853))) % 159.04/158.76 [6496]~P95(x64961)+~P104(f331(f62(x64961),x64963))+E(f331(f64(x64961,f81(x64961)),f331(f331(f308(x64961),x64962),x64963)),f331(f331(f65(x64961,x64961,f81(x64961)),x64962),x64963)) % 159.04/158.76 [6518]~P107(x65181)+~P104(f331(f62(x65181),x65183))+E(f12(x65181,f242(x65181),f331(f331(f308(x65181),x65182),x65183)),f331(f331(f65(x65181,x65181,f242(x65181)),x65182),x65183)) % 159.04/158.76 [6519]~P107(x65191)+~P104(f331(f62(x65191),x65193))+E(f13(x65191,f243(x65191),f331(f331(f308(x65191),x65192),x65193)),f331(f331(f65(x65191,x65191,f243(x65191)),x65192),x65193)) % 159.04/158.76 [6521]P104(f331(x65211,f2(a876)))+~P104(f331(f331(f245(a876),x65212),x65213))+~P104(f331(x65211,f331(f331(f22(a876),x65212),x65213))) % 159.04/158.76 [6540]~P86(x65401)+P104(f331(f331(f244(x65401),x65402),x65403))+~P104(f331(f331(f244(x65401),f331(f75(x65401),x65402)),x65403)) % 159.04/158.76 [6541]~P119(x65411)+P104(f331(f331(f245(x65411),x65412),x65413))+~P104(f331(f331(f245(x65411),f331(f75(x65411),x65412)),x65413)) % 159.04/158.76 [6558]E(x65581,f117(x65582))+E(f331(f140(x65582),f331(f331(f137(x65582),x65583),x65581)),f331(f331(f164(x65582),x65581),x65583))+~P104(f331(f331(f245(a876),x65583),f331(f195(f877(x65582)),x65581))) % 159.04/158.76 [6610]~P104(f331(x66101,x66103))+P104(f331(x66101,f366(x66101,x66102)))+~P104(f331(f331(f333(a876),x66103),f331(f300(a876,f2(a876)),x66102))) % 159.04/158.76 [6632]P104(f331(x66321,x66322))+~P104(f331(f331(f245(a876),x66322),x66323))+P104(f331(f331(f333(a876),f361(x66321,x66323)),f331(f300(a876,f2(a876)),x66323))) % 159.04/158.76 [6647]~P122(x66471)+~P104(f331(f331(f244(x66471),f78(x66471)),x66472))+P104(f331(f331(f244(x66471),f78(x66471)),f331(f331(f255(x66471),x66472),x66473))) % 159.04/158.76 [6649]~P122(x66491)+~P104(f331(f331(f244(x66491),f2(x66491)),x66492))+P104(f331(f331(f244(x66491),f2(x66491)),f331(f331(f255(x66491),x66492),x66493))) % 159.04/158.76 [6651]~P122(x66511)+~P104(f331(f331(f245(x66511),f2(x66511)),x66512))+P104(f331(f331(f245(x66511),f2(x66511)),f331(f331(f255(x66511),x66512),x66513))) % 159.04/158.76 [6676]~P104(f331(x66761,x66763))+~P104(f331(f331(f245(a876),x66763),x66762))+P104(f331(f331(f333(a876),f358(x66761,x66762)),f331(f300(a876,f2(a876)),x66762))) % 159.04/158.76 [6683]P104(f331(f62(x66831),x66832))+~P104(f331(f62(x66831),x66833))+~P104(f331(f331(f244(f885(x66831,a871)),x66832),x66833)) % 159.04/158.76 [6691]P104(f331(x66911,x66912))+~P104(f331(x66911,f363(x66911,x66913)))+~P104(f331(f331(f333(a876),x66912),f331(f300(a876,f2(a876)),x66913))) % 159.04/158.76 [6702]E(x67021,f2(a876))+P104(f331(x67022,f367(x67021,x67023,x67022)))+~P104(f331(x67022,f331(f331(f39(a876),x67023),x67021))) % 159.04/158.76 [6710]~P124(x67102)+E(x67101,f2(x67102))+~E(f331(f331(f80(x67102),f331(f331(f81(x67102),x67103),x67103)),f331(f331(f81(x67102),x67101),x67101)),f2(x67102)) % 159.04/158.76 [6711]~P124(x67112)+E(x67111,f2(x67112))+~E(f331(f331(f80(x67112),f331(f331(f81(x67112),x67111),x67111)),f331(f331(f81(x67112),x67113),x67113)),f2(x67112)) % 159.04/158.76 [6756]E(x67561,f2(a876))+~P104(f331(x67562,f368(x67561,x67563,x67562)))+P104(f331(x67562,f331(f331(f39(a876),x67563),x67561))) % 159.04/158.76 [6761]~P107(x67611)+~P30(x67611,x67613)+P30(x67611,f331(f331(f147(x67611,x67611,f5(x67611)),x67612),x67613)) % 159.04/158.76 [6804]P104(f331(x68041,f367(x68042,x68043,x68041)))+P104(f331(x68041,f2(a876)))+~P104(f331(x68041,f331(f331(f39(a876),x68043),x68042))) % 159.04/158.76 [6810]~P92(x68101)+E(f331(f107(x68101),x68102),f331(f107(x68101),x68103))+~P32(x68101,f331(f107(x68101),f331(f331(f80(a1),x68102),f331(f79(a1),x68103)))) % 159.04/158.76 [6875]E(x68751,f2(a1))+E(x68752,f2(a1))+~P104(f331(f49(x68752,x68752),f331(f331(f265(a1,a1),x68753),x68751))) % 159.04/158.76 [6876]E(x68761,f78(a1))+E(x68762,f2(a1))+~P104(f331(f49(x68762,x68762),f331(f331(f265(a1,a1),x68761),x68763))) % 159.04/158.76 [6890]P104(f331(x68901,x68902))+P104(f331(f331(f245(a876),f363(x68901,x68903)),x68903))+~P104(f331(f331(f333(a876),x68902),f331(f300(a876,f2(a876)),x68903))) % 159.04/158.76 [6914]~P104(f331(x69141,f863(x69143,x69142,x69141)))+~P104(f331(x69141,f2(a876)))+P104(f331(x69141,f331(f331(f22(a876),x69142),x69143))) % 159.04/158.76 [6915]~P104(f331(x69151,f864(x69153,x69152,x69151)))+~P104(f331(x69151,f2(a876)))+P104(f331(x69151,f331(f331(f22(a876),x69152),x69153))) % 159.04/158.76 [6916]~P104(f331(x69161,f368(x69163,x69162,x69161)))+~P104(f331(x69161,f2(a876)))+P104(f331(x69161,f331(f331(f39(a876),x69162),x69163))) % 159.04/158.76 [6934]~P104(f331(x69341,x69343))+P104(f331(f331(f245(a876),f366(x69341,x69342)),x69342))+~P104(f331(f331(f333(a876),x69343),f331(f300(a876,f2(a876)),x69342))) % 159.04/158.76 [6935]E(f331(f331(f22(a876),f331(f331(f22(a876),x69351),x69352)),f331(f331(f22(a876),x69353),x69352)),f331(f331(f22(a876),x69351),x69353))+~P104(f331(f331(f244(a876),x69352),x69351))+~P104(f331(f331(f244(a876),x69352),x69353)) % 159.04/158.76 [6970]~P77(x69701)+~P104(f331(f331(f244(x69701),f331(f79(x69701),x69703)),x69702))+P104(f331(f331(f244(x69701),f331(f79(x69701),x69702)),x69703)) % 159.04/158.76 [6972]~P86(x69721)+~P104(f331(f331(f244(x69721),f331(f75(x69721),x69722)),x69723))+P104(f331(f331(f244(x69721),f331(f79(x69721),x69722)),x69723)) % 159.04/158.76 [6974]~P77(x69741)+~P104(f331(f331(f245(x69741),f331(f79(x69741),x69743)),x69742))+P104(f331(f331(f245(x69741),f331(f79(x69741),x69742)),x69743)) % 159.04/158.76 [6975]~P119(x69751)+~P104(f331(f331(f245(x69751),f331(f75(x69751),x69752)),x69753))+P104(f331(f331(f245(x69751),f331(f79(x69751),x69752)),x69753)) % 159.04/158.76 [7011]~P104(f331(x70113,f863(x70112,x70111,x70113)))+P104(f331(f331(f245(a876),x70111),x70112))+P104(f331(x70113,f331(f331(f22(a876),x70111),x70112))) % 159.04/158.76 [7012]~P104(f331(x70123,f864(x70122,x70121,x70123)))+P104(f331(f331(f245(a876),x70121),x70122))+P104(f331(x70123,f331(f331(f22(a876),x70121),x70122))) % 159.04/158.76 [7062]~E(f658(x70623,x70622,x70621),f659(x70623,x70622,x70621))+E(f331(f331(f105(f885(x70621,a871)),x70622),f40(f885(x70621,a871),x70623)),f194(f885(x70621,a871)))+P104(f331(f331(f333(f885(x70621,a871)),x70622),x70623)) % 159.04/158.76 [7071]~P104(f331(f62(x70711),x70713))+P104(f331(f62(x70711),f41(f885(x70711,a871),x70712)))+~P104(f331(f331(f333(f885(x70711,a871)),x70713),x70712)) % 159.04/158.76 [7130]~P107(x71301)+E(f331(f331(f114(f885(x71301,a871)),f331(f300(x71301,x71302),x71303)),f331(f331(f308(x71301),x71303),f194(f885(x71301,a871)))),f301(x71301,x71302,x71303))+~P104(f331(f331(f244(x71301),x71302),x71303)) % 159.04/158.76 [7131]E(x71311,f2(a876))+P104(f331(f331(f245(a876),f369(x71311,x71313,x71312)),x71311))+P104(f331(x71312,f331(f331(f39(a876),x71313),x71311))) % 159.04/158.76 [7166]E(x71661,x71662)+~P104(f331(f331(f244(f885(x71663,a871)),x71661),x71662))+P104(f331(f331(f245(f885(x71663,a871)),x71661),x71662)) % 159.04/158.76 [7179]E(x71791,x71792)+~E(f331(f195(f877(x71793)),x71791),f331(f195(f877(x71793)),x71792))+P104(f331(f331(f245(a876),f540(x71793,x71791,x71792)),f331(f195(f877(x71793)),x71792))) % 159.04/158.76 [7225]P3(x72251,x72252,x72253)+~E(f331(f263(x72251,x72251),x72253),x72252)+~E(f331(f331(f287(x72251,x72251,x72251),f331(f285(x72251,x72251),x72253)),x72253),x72253) % 159.04/158.76 [7297]~P104(f331(x72971,f2(a876)))+P104(f331(f331(f245(a876),f369(x72973,x72972,x72971)),x72973))+P104(f331(x72971,f331(f331(f39(a876),x72972),x72973))) % 159.04/158.76 [7306]~P107(x73061)+E(f331(f331(f114(f885(x73061,a871)),f304(x73061,x73062,x73063)),f331(f331(f308(x73061),x73063),f194(f885(x73061,a871)))),f303(x73061,x73062,x73063))+~P104(f331(f331(f245(x73061),x73062),x73063)) % 159.04/158.76 [7406]~P104(f331(f62(x74061),x74063))+P104(f331(f331(f244(a876),f331(f38(x74061),x74062)),f331(f38(x74061),x74063)))+~P104(f331(f331(f244(f885(x74061,a871)),x74062),x74063)) % 159.04/158.76 [7407]~P104(f331(f62(x74071),x74073))+P104(f331(f331(f245(a876),f331(f38(x74071),x74072)),f331(f38(x74071),x74073)))+~P104(f331(f331(f245(f885(x74071,a871)),x74072),x74073)) % 159.04/158.76 [7445]~P104(f331(x74453,x74452))+P104(f331(f331(f201(x74451),x74452),f350(x74452,x74451,x74453)))+~P104(f331(f331(f201(f32(x74453,x74451)),x74452),x74452)) % 159.04/158.76 [7544]E(x75441,x75442)+~P104(f331(f331(f244(f885(x75443,a871)),x75442),x75441))+~P104(f331(f331(f244(f885(x75443,a871)),x75441),x75442)) % 159.04/158.76 [7547]~P107(x75471)+P30(x75471,x75472)+~P30(x75471,f331(f331(f147(x75471,x75471,f5(x75471)),x75473),x75472)) % 159.04/158.76 [7615]~P104(f331(f331(f245(a876),x76153),x76152))+~P104(f331(f331(f245(a876),x76153),x76151))+P104(f331(f331(f245(a876),f331(f331(f22(a876),x76151),x76152)),f331(f331(f22(a876),x76151),x76153))) % 159.04/158.76 [7616]~P104(f331(f331(f244(a876),x76162),x76161))+~P104(f331(f331(f245(a876),x76161),x76163))+P104(f331(f331(f245(a876),f331(f331(f22(a876),x76161),x76162)),f331(f331(f22(a876),x76163),x76162))) % 159.04/158.76 [7631]~P104(f331(f331(f245(a1),x76312),f2(a1)))+~P104(f331(f331(f244(a1),x76313),x76311))+P104(f331(f331(f244(a1),f331(f331(f39(a1),x76311),x76312)),f331(f331(f39(a1),x76313),x76312))) % 159.04/158.76 [7649]~P104(f331(f331(f245(a876),f2(a876)),x76493))+~P104(f331(f331(f244(a876),x76493),x76492))+P104(f331(f331(f244(a876),f331(f331(f39(a876),x76491),x76492)),f331(f331(f39(a876),x76491),x76493))) % 159.04/158.76 [7650]~P104(f331(f331(f245(a1),f2(a1)),x76502))+~P104(f331(f331(f244(a1),x76501),x76503))+P104(f331(f331(f244(a1),f331(f331(f39(a1),x76501),x76502)),f331(f331(f39(a1),x76503),x76502))) % 159.04/158.76 [7654]~P104(f331(f331(f245(a876),f2(a876)),x76542))+~P104(f331(f331(f245(a876),x76541),x76543))+P104(f331(f331(f245(a876),f331(f331(f81(a876),x76541),x76542)),f331(f331(f81(a876),x76543),x76542))) % 159.04/158.76 [7655]~P104(f331(f331(f245(a876),f2(a876)),x76551))+~P104(f331(f331(f245(a876),x76552),x76553))+P104(f331(f331(f245(a876),f331(f331(f81(a876),x76551),x76552)),f331(f331(f81(a876),x76551),x76553))) % 159.04/158.76 [7656]~P104(f331(f331(f245(a1),f2(a1)),x76561))+~P104(f331(f331(f245(a1),x76562),x76563))+P104(f331(f331(f245(a1),f331(f331(f81(a1),x76561),x76562)),f331(f331(f81(a1),x76561),x76563))) % 159.04/158.76 [7705]E(x77051,f2(a876))+E(f331(f331(f80(a876),f331(f331(f81(a876),x77051),f368(x77051,x77052,x77053))),f369(x77051,x77052,x77053)),x77052)+P104(f331(x77053,f331(f331(f39(a876),x77052),x77051))) % 159.04/158.76 [7764]E(f331(f331(f80(a876),f331(f331(f81(a876),x77641),f368(x77641,x77642,x77643))),f369(x77641,x77642,x77643)),x77642)+~P104(f331(x77643,f2(a876)))+P104(f331(x77643,f331(f331(f39(a876),x77642),x77641))) % 159.04/158.76 [7781]~P104(f331(f62(x77811),x77813))+P104(f331(f331(f333(x77811),f850(x77812,x77813,x77811)),x77813))+P104(f331(f331(f245(a876),f2(a876)),f331(f331(f9(x77811,a876),x77812),x77813))) % 159.04/158.76 [7782]~P104(f331(f62(x77821),x77823))+P104(f331(f331(f333(x77821),f473(x77822,x77823,x77821)),x77823))+P104(f331(f331(f245(a876),f2(a876)),f331(f331(f9(x77821,a876),x77822),x77823))) % 159.04/158.76 [8075]E(x80751,f194(f885(x80752,a871)))+E(x80751,f331(f331(f308(x80752),x80753),f194(f885(x80752,a871))))+~P104(f331(f331(f244(f885(x80752,a871)),x80751),f331(f331(f308(x80752),x80753),f194(f885(x80752,a871))))) % 159.04/158.76 [8093]~P58(x80931)+P8(x80931,x80932,x80933)+P104(f331(f331(f333(f877(x80931)),f645(x80933,x80932,x80931)),f331(f172(f877(x80931)),f55(x80931,x80933,f56(x80931))))) % 159.04/158.76 [8112]~P104(f331(f331(f245(a876),f2(a876)),x81123))+P104(f331(f331(f244(a876),x81121),x81122))+~P104(f331(f331(f244(a876),f331(f331(f81(a876),x81123),x81121)),f331(f331(f81(a876),x81123),x81122))) % 159.04/158.76 [8113]~P104(f331(f331(f245(a876),f2(a876)),x81133))+P104(f331(f331(f244(a876),x81131),x81132))+~P104(f331(f331(f244(a876),f331(f331(f81(a876),x81131),x81133)),f331(f331(f81(a876),x81132),x81133))) % 159.04/158.76 [8115]~P104(f331(f331(f245(a876),f2(a876)),x81153))+P104(f331(f331(f245(a876),x81151),x81152))+~P104(f331(f331(f245(a876),f331(f331(f255(a876),x81153),x81151)),f331(f331(f255(a876),x81153),x81152))) % 159.04/158.76 [8141]~P58(x81411)+~P7(x81411,x81413,x81412)+P104(f331(f331(f333(f877(x81411)),f644(x81412,x81413,x81411)),f331(f172(f877(x81411)),f55(x81411,x81412,f56(x81411))))) % 159.04/158.76 [8149]~P104(f331(x81491,x81493))+P104(f331(f331(f201(f32(x81491,x81492)),f350(x81493,x81492,x81491)),x81493))+~P104(f331(f331(f201(f32(x81491,x81492)),x81493),x81493)) % 159.04/158.76 [8158]~E(f331(f331(f105(f885(x81581,a871)),f659(x81583,x81582,x81581)),f658(x81583,x81582,x81581)),f194(f885(x81581,a871)))+E(f331(f331(f105(f885(x81581,a871)),x81582),f40(f885(x81581,a871),x81583)),f194(f885(x81581,a871)))+P104(f331(f331(f333(f885(x81581,a871)),x81582),x81583)) % 159.04/158.76 [8175]E(x81751,f117(x81752))+~E(f331(f141(f877(x81752),f877(x81752),f126(x81752),f117(x81752)),x81753),f117(x81752))+~P104(f331(f331(f333(f877(x81752)),x81751),f331(f172(f877(x81752)),x81753))) % 159.04/158.76 [8232]E(x82321,f194(f885(f885(x82322,a871),a871)))+P104(f331(f331(f333(f885(x82322,a871)),f696(x82323,x82321,x82322)),x82321))+P104(f331(f331(f244(f885(x82322,a871)),f41(f885(x82322,a871),x82321)),x82323)) % 159.04/158.76 [8239]~P68(x82391)+~P69(x82391)+E(f331(f331(f6(a1,x82391),f331(f331(f8(a876,x82391,a1),x82392),a108)),f331(f309(a876,a1,f104(a1)),x82393)),f331(f331(f6(a876,x82391),x82392),x82393)) % 159.04/158.76 [8240]~P68(x82401)+~P69(x82401)+E(f331(f331(f9(a1,x82401),f331(f331(f8(a876,x82401,a1),x82402),a108)),f331(f309(a876,a1,f104(a1)),x82403)),f331(f331(f9(a876,x82401),x82402),x82403)) % 159.04/158.76 [8279]~P104(f331(f62(x82791),x82793))+~P104(f331(f331(f245(a876),f2(a876)),f331(x82792,f850(x82792,x82793,x82791))))+P104(f331(f331(f245(a876),f2(a876)),f331(f331(f9(x82791,a876),x82792),x82793))) % 159.04/158.76 [8280]~P104(f331(f62(x82801),x82803))+~P104(f331(f331(f245(a876),f2(a876)),f331(x82802,f473(x82802,x82803,x82801))))+P104(f331(f331(f245(a876),f2(a876)),f331(f331(f9(x82801,a876),x82802),x82803))) % 159.04/158.76 [8315]~P60(x83152)+E(x83151,f78(x83152))+E(f331(f331(f288(x83152),f331(f331(f22(x83152),f331(f331(f255(x83152),x83151),x83153)),f78(x83152))),f331(f331(f22(x83152),x83151),f78(x83152))),f331(f331(f6(a876,x83152),f331(f255(x83152),x83151)),f331(f300(a876,f2(a876)),x83153))) % 159.04/158.76 [8373]E(x83731,f2(a876))+~P104(f331(x83733,f331(f331(f39(a876),x83732),x83731)))+P104(f331(f331(f245(a876),x83732),f331(f331(f81(a876),x83731),f331(a116,f367(x83731,x83732,x83733))))) % 159.04/158.76 [8392]P104(f331(x83921,f2(a876)))+~P104(f331(x83921,f331(f331(f39(a876),x83922),x83923)))+P104(f331(f331(f245(a876),x83922),f331(f331(f81(a876),x83923),f331(a116,f367(x83923,x83922,x83921))))) % 159.04/158.76 [8433]E(x84331,f2(a876))+~P104(f331(x84333,f331(f331(f39(a876),x84332),x84331)))+P104(f331(f331(f244(a876),f331(f331(f81(a876),x84331),f367(x84331,x84332,x84333))),x84332)) % 159.04/158.76 [8473]P104(f331(x84731,f2(a876)))+~P104(f331(x84731,f331(f331(f39(a876),x84733),x84732)))+P104(f331(f331(f244(a876),f331(f331(f81(a876),x84732),f367(x84732,x84733,x84731))),x84733)) % 159.04/158.76 [8476]~P107(x84761)+E(f331(f331(f147(x84761,x84761,f5(x84761)),x84762),x84763),f148(x84761,x84761,f5(x84761),x84762,x84763))+P104(f331(f331(f333(x84761),x84762),f331(f172(x84761),x84763))) % 159.04/158.76 [8514]~E(f331(x85143,f708(x85142,x85143,x85141)),f331(x85143,f710(x85142,x85143,x85141)))+~P57(x85141,f331(x85143,f709(x85142,x85143,x85141)))+P57(x85141,f331(f331(f42(x85142,f885(x85141,f885(x85141,a871))),f253(f885(x85142,a871))),x85143)) % 159.04/158.76 [8522]E(x85221,f194(f885(f885(x85222,a871),a871)))+~P104(f331(f331(f244(f885(x85222,a871)),f696(x85223,x85221,x85222)),x85223))+P104(f331(f331(f244(f885(x85222,a871)),f41(f885(x85222,a871),x85221)),x85223)) % 159.04/158.76 [8580]~P62(x85801)+~P104(f331(f331(f245(x85801),x85802),x85803))+P104(f331(f331(f245(x85801),x85802),f331(f331(f288(x85801),f331(f331(f80(x85801),x85802),x85803)),f331(f331(f80(x85801),f78(x85801)),f78(x85801))))) % 159.04/158.76 [8635]~P104(f331(f331(x86351,f521(x86351,x86353,x86352)),f522(x86351,x86353,x86352)))+P104(f331(f331(x86351,x86352),x86353))+~P104(f331(f319(f884(a1,a1),a52),f331(f331(f265(a1,a1),x86352),x86353))) % 159.04/158.76 [8636]~P104(f331(f331(x86361,f523(x86361,x86363,x86362)),f524(x86361,x86363,x86362)))+P104(f331(f331(x86361,x86362),x86363))+~P104(f331(f319(f884(a1,a1),a57),f331(f331(f265(a1,a1),x86362),x86363))) % 159.04/158.76 [8637]~P104(f331(f331(x86371,f529(x86371,x86373,x86372)),f530(x86371,x86373,x86372)))+P104(f331(f331(x86371,x86372),x86373))+~P104(f331(f319(f884(a1,a1),a233),f331(f331(f265(a1,a1),x86372),x86373))) % 159.04/158.76 [8638]~P104(f331(f331(x86381,f531(x86381,x86383,x86382)),f532(x86381,x86383,x86382)))+P104(f331(f331(x86381,x86382),x86383))+~P104(f331(f319(f884(a876,a876),a228),f331(f331(f265(a876,a876),x86382),x86383))) % 159.04/158.76 [8639]~P104(f331(f331(x86391,f596(x86391,x86393,x86392)),f597(x86391,x86393,x86392)))+P104(f331(f331(x86391,x86392),x86393))+~P104(f331(f319(f884(a1,a1),a183),f331(f331(f265(a1,a1),x86392),x86393))) % 159.04/158.76 [8892]P104(f331(f331(x88921,x88922),x88923))+P104(f331(f319(f884(a876,a876),a228),f331(f331(f265(a876,a876),f531(x88921,x88923,x88922)),f532(x88921,x88923,x88922))))+~P104(f331(f319(f884(a876,a876),a228),f331(f331(f265(a876,a876),x88922),x88923))) % 159.04/158.76 [8893]P104(f331(f331(x88931,x88932),x88933))+P104(f331(f319(f884(a1,a1),a52),f331(f331(f265(a1,a1),f521(x88931,x88933,x88932)),f522(x88931,x88933,x88932))))+~P104(f331(f319(f884(a1,a1),a52),f331(f331(f265(a1,a1),x88932),x88933))) % 159.04/158.76 [8894]P104(f331(f331(x88941,x88942),x88943))+P104(f331(f319(f884(a1,a1),a57),f331(f331(f265(a1,a1),f523(x88941,x88943,x88942)),f524(x88941,x88943,x88942))))+~P104(f331(f319(f884(a1,a1),a57),f331(f331(f265(a1,a1),x88942),x88943))) % 159.04/158.76 [8895]P104(f331(f331(x88951,x88952),x88953))+P104(f331(f319(f884(a1,a1),a233),f331(f331(f265(a1,a1),f529(x88951,x88953,x88952)),f530(x88951,x88953,x88952))))+~P104(f331(f319(f884(a1,a1),a233),f331(f331(f265(a1,a1),x88952),x88953))) % 159.04/158.76 [8896]P104(f331(f331(x88961,x88962),x88963))+P104(f331(f319(f884(a1,a1),a183),f331(f331(f265(a1,a1),f596(x88961,x88963,x88962)),f597(x88961,x88963,x88962))))+~P104(f331(f319(f884(a1,a1),a183),f331(f331(f265(a1,a1),x88962),x88963))) % 159.04/158.76 [9240]~P104(f331(f62(x92401),x92403))+P104(f331(f331(f333(f884(f885(x92401,a871),f885(x92401,a871))),f331(f331(f265(f885(x92401,a871),f885(x92401,a871)),x92402),x92403)),f305(x92401)))+~P104(f331(f331(f245(f885(x92401,a871)),x92402),x92403)) % 159.04/158.76 [9313]~P57(x93131,f331(x93133,f709(x93132,x93133,x93131)))+P57(x93131,f331(f331(f42(x93132,f885(x93131,f885(x93131,a871))),f253(f885(x93132,a871))),x93133))+~E(f331(f331(f105(f885(x93131,a871)),f259(x93131,x93131,f331(x93133,f708(x93132,x93133,x93131)))),f260(x93131,x93131,f331(x93133,f710(x93132,x93133,x93131)))),f194(f885(x93131,a871))) % 159.04/158.76 [9384]~P23(a872,f194(f885(f875(a872),a871)),f331(f331(f308(f875(a872)),f331(f331(f331(f92(a872),x93841),x93842),x93843)),f194(f885(f875(a872),a871))))+~P20(a872,f194(f885(f875(a872),a871)),f331(f331(f308(f875(a872)),f331(f331(f331(f92(a872),a328),x93842),f201(x93842))),f194(f885(f875(a872),a871))))+P20(a872,f194(f885(f875(a872),a871)),f331(f331(f308(f875(a872)),f331(f331(f331(f92(a872),x93841),x93842),x93843)),f194(f885(f875(a872),a871)))) % 159.04/158.76 [9510]P49(x95101,x95102,x95103)+P104(f331(f331(f333(f884(x95101,x95101)),f570(x95103,x95102,x95101)),x95103))+~P104(f331(f331(f333(f884(x95101,x95101)),f331(f331(f265(x95101,x95101),f569(x95103,x95102,x95101)),f569(x95103,x95102,x95101))),x95103)) % 159.04/158.76 [10094]P49(x100941,x100942,x100943)+~P104(f331(f331(f269(x100941,x100941,a871),f331(f331(f7(x100941,f885(x100941,a871),f885(x100941,a871)),f331(f331(f8(f885(a871,a871),f885(f885(x100941,a871),f885(x100941,a871)),x100941),f8(a871,a871,x100941)),f331(f331(f8(a871,f885(a871,a871),x100941),a329),f331(f331(f7(x100941,f885(x100941,a871),a871),f333(x100941)),x100942)))),f331(f331(f7(x100941,f885(x100941,a871),a871),f333(x100941)),x100942))),f570(x100943,x100942,x100941)))+~P104(f331(f331(f333(f884(x100941,x100941)),f331(f331(f265(x100941,x100941),f569(x100943,x100942,x100941)),f569(x100943,x100942,x100941))),x100943)) % 159.04/158.76 [5649]~P26(x56492)+E(x56491,f2(x56492))+E(f331(f331(f39(x56492),f331(f331(f81(x56492),x56493),x56491)),x56491),x56493) % 159.04/158.76 [5650]~P26(x56502)+E(x56501,f2(x56502))+E(f331(f331(f39(x56502),f331(f331(f81(x56502),x56501),x56503)),x56501),x56503) % 159.04/158.76 [6442]~P69(x64421)+~E(f331(x64422,f2(a876)),f2(x64421))+E(f331(f331(f6(a876,x64421),x64422),f331(f300(a876,f331(a116,f2(a876))),x64423)),f331(f331(f6(a876,x64421),x64422),f331(f300(a876,f2(a876)),x64423))) % 159.04/158.76 [6571]~P26(x65712)+E(x65711,f2(x65712))+E(f331(f331(f39(x65712),f331(f331(f80(x65712),x65713),x65711)),x65711),f331(f331(f80(x65712),f331(f331(f39(x65712),x65713),x65711)),f78(x65712))) % 159.04/158.76 [6572]~P26(x65722)+E(x65721,f2(x65722))+E(f331(f331(f39(x65722),f331(f331(f80(x65722),x65721),x65723)),x65721),f331(f331(f80(x65722),f331(f331(f39(x65722),x65723),x65721)),f78(x65722))) % 159.04/158.76 [6792]~P104(f331(x67923,f2(a1)))+P104(f331(f331(f244(a876),x67921),x67922))+P104(f331(x67923,f331(f104(a1),f331(f331(f22(a876),x67922),x67921)))) % 159.04/158.76 [6896]P104(f331(f331(f245(a876),x68962),x68961))+P104(f331(f331(f244(a876),x68961),x68962))+P104(f331(x68963,f331(f104(a1),f331(f331(f22(a876),x68962),x68961)))) % 159.04/158.76 [6968]E(f331(f331(f80(a876),f331(f107(a876),x69681)),f331(f331(f80(a876),f331(f107(a876),x69682)),x69683)),f331(f331(f80(a876),f331(f107(a876),x69681)),x69683))+P104(f331(a200,f331(f107(a1),x69681)))+~P104(f331(a200,f331(f107(a1),x69682))) % 159.04/158.76 [7049]~E(x70492,f331(f331(f39(a876),x70493),x70491))+~P104(f331(f331(f245(a876),f2(a876)),x70491))+P104(f331(f331(f244(a876),f331(f331(f81(a876),x70491),x70492)),x70493)) % 159.04/158.76 [7164]~P104(f331(f62(x71641),x71643))+~P104(f331(f62(x71641),x71642))+P104(f331(f62(x71641),f331(f331(f114(f885(x71641,a871)),x71642),x71643))) % 159.04/158.76 [7458]~P107(x74581)+~P104(f331(f62(x74581),x74582))+E(f138(x74581,f331(f331(f22(f885(x74581,a871)),x74582),f331(f331(f308(x74581),x74583),f194(f885(x74581,a871))))),f170(x74581,x74583,f138(x74581,x74582))) % 159.04/158.76 [7524]P104(f331(x75241,f2(a1)))+~P104(f331(f331(f245(a876),x75242),x75243))+~P104(f331(x75241,f331(f104(a1),f331(f331(f22(a876),x75242),x75243)))) % 159.04/158.76 [7541]~P104(f331(f62(x75411),x75412))+E(f331(f38(x75411),f331(f331(f22(f885(x75411,a871)),x75412),f331(f331(f308(x75411),x75413),f194(f885(x75411,a871))))),f331(f38(x75411),x75412))+P104(f331(f331(f333(x75411),x75413),x75412)) % 159.04/158.76 [7671]~P122(x76711)+~P104(f331(f331(f245(x76711),f78(x76711)),x76712))+P104(f331(f331(f245(x76711),f78(x76711)),f331(f331(f81(x76711),x76712),f331(f331(f255(x76711),x76712),x76713)))) % 159.04/158.76 [7716]~P104(f331(f62(x77161),x77163))+E(f331(f331(f22(a876),f331(f38(x77161),x77162)),f331(f38(x77161),x77163)),f331(f38(x77161),f331(f331(f22(f885(x77161,a871)),x77162),x77163)))+~P104(f331(f331(f244(f885(x77161,a871)),x77163),x77162)) % 159.04/158.76 [7773]~P104(f331(f331(f244(a876),x77732),x77733))+~P104(f331(f331(f244(a876),x77731),f331(f331(f22(a876),x77733),x77732)))+P104(f331(f331(f244(a876),f331(f331(f80(a876),x77731),x77732)),x77733)) % 159.04/158.76 [7824]P104(f331(f62(x78241),x78242))+~P104(f331(f62(x78241),x78243))+~P104(f331(f62(x78241),f331(f331(f22(f885(x78241,a871)),x78242),x78243))) % 159.04/158.76 [7830]~P104(f331(f62(x78301),x78302))+E(f331(f38(x78301),f331(f331(f22(f885(x78301,a871)),x78302),f331(f331(f308(x78301),x78303),f194(f885(x78301,a871))))),f331(f331(f22(a876),f331(f38(x78301),x78302)),f78(a876)))+~P104(f331(f331(f333(x78301),x78303),x78302)) % 159.04/158.76 [7906]P57(x79061,x79062)+~P57(x79061,x79063)+~P104(f331(f331(f244(f885(x79061,f885(x79061,a871))),x79062),x79063)) % 159.04/158.76 [7947]~P104(f331(f331(f244(a876),x79473),x79472))+P104(f331(f331(f244(a876),x79471),f331(f331(f22(a876),x79472),x79473)))+~P104(f331(f331(f244(a876),f331(f331(f80(a876),x79471),x79473)),x79472)) % 159.04/158.76 [7965]P39(x79651,x79652)+~P39(x79651,x79653)+~P104(f331(f331(f244(f885(f884(x79651,x79651),a871)),x79652),x79653)) % 159.04/158.76 [7966]P55(x79661,x79662)+~P55(x79661,x79663)+~P104(f331(f331(f244(f885(f884(x79661,x79661),a871)),x79662),x79663)) % 159.04/158.76 [8210]~P122(x82101)+~P104(f331(f331(f245(x82101),f78(x82101)),x82102))+P104(f331(f331(f245(x82101),f331(f331(f255(x82101),x82102),x82103)),f331(f331(f81(x82101),x82102),f331(f331(f255(x82101),x82102),x82103)))) % 159.04/158.76 [8299]~P104(f331(x82991,f2(a1)))+~P104(f331(x82991,f331(f331(f22(a1),f331(f104(a1),x82992)),f331(f104(a1),x82993))))+P104(f331(x82991,f331(f104(a1),f331(f331(f22(a876),x82992),x82993)))) % 159.04/158.76 [8312]~P104(f331(f331(f244(a876),x83123),x83122))+P104(f331(x83121,f331(f331(f22(a1),f331(f104(a1),x83122)),f331(f104(a1),x83123))))+~P104(f331(x83121,f331(f104(a1),f331(f331(f22(a876),x83122),x83123)))) % 159.04/158.76 [8330]P104(f331(f331(f245(a876),x83301),x83302))+~P104(f331(x83303,f331(f331(f22(a1),f331(f104(a1),x83301)),f331(f104(a1),x83302))))+P104(f331(x83303,f331(f104(a1),f331(f331(f22(a876),x83301),x83302)))) % 159.04/158.76 [8384]~P124(x83842)+E(x83841,f2(x83842))+P104(f331(f331(f245(x83842),f2(x83842)),f331(f331(f80(x83842),f331(f331(f81(x83842),x83843),x83843)),f331(f331(f81(x83842),x83841),x83841)))) % 159.04/158.76 [8385]~P124(x83852)+E(x83851,f2(x83852))+P104(f331(f331(f245(x83852),f2(x83852)),f331(f331(f80(x83852),f331(f331(f81(x83852),x83851),x83851)),f331(f331(f81(x83852),x83853),x83853)))) % 159.04/158.76 [8494]~P104(f331(f331(f245(a876),f2(a876)),x84941))+~P104(f331(f331(f245(a1),x84942),x84943))+P104(f331(f331(f245(a1),f331(f331(f81(a1),f331(f104(a1),x84941)),x84942)),f331(f331(f81(a1),f331(f104(a1),x84941)),x84943))) % 159.04/158.76 [8550]E(f331(f331(f105(f885(x85501,a871)),x85502),f40(f885(x85501,a871),x85503)),f194(f885(x85501,a871)))+P104(f331(f331(f333(f885(x85501,a871)),x85502),x85503))+P104(f331(f331(f333(f885(x85501,a871)),f659(x85503,x85502,x85501)),f331(f331(f308(f885(x85501,a871)),x85502),x85503))) % 159.04/158.76 [8551]E(f331(f331(f105(f885(x85511,a871)),x85512),f40(f885(x85511,a871),x85513)),f194(f885(x85511,a871)))+P104(f331(f331(f333(f885(x85511,a871)),x85512),x85513))+P104(f331(f331(f333(f885(x85511,a871)),f658(x85513,x85512,x85511)),f331(f331(f308(f885(x85511,a871)),x85512),x85513))) % 159.04/158.76 [8579]E(x85791,x85792)+~E(f331(f195(f877(x85793)),x85791),f331(f195(f877(x85793)),x85792))+P104(f331(f331(f333(f884(x85793,x85793)),f566(x85793,x85791,x85792)),f331(f172(f884(x85793,x85793)),f331(f331(f182(x85793,x85793),x85792),x85791)))) % 159.04/158.76 [8810]E(f306(x88101,x88102),f306(x88101,x88103))+~P104(f331(f331(f244(f885(f884(x88101,x88101),a871)),x88103),f306(x88101,x88102)))+~P104(f331(f331(f244(f885(f884(x88101,x88101),a871)),x88102),x88103)) % 159.04/158.76 [8870]~P49(x88701,f253(f885(x88701,a871)),x88703)+P104(f331(f331(f244(f885(f884(f877(x88701),f877(x88701)),a871)),f156(x88701,x88702)),f157(x88701,x88703)))+~P104(f331(f331(f244(f885(f884(x88701,x88701),a871)),x88702),x88703)) % 159.04/158.76 [9076]P39(x90761,x90762)+~P104(f331(f331(f333(x90761),x90763),f755(x90762,x90761)))+P104(f331(f331(f333(f884(x90761,x90761)),f331(f331(f265(x90761,x90761),f793(x90762,x90761,x90763)),x90763)),x90762)) % 159.04/158.76 [9110]~P104(f331(f62(x91101),x91102))+P104(f331(f62(f885(x91101,a871)),f331(f331(f61(x91101),x91102),x91103)))+~P104(f331(f331(f244(f885(f884(x91101,x91101),a871)),x91103),f331(f331(f267(x91101,x91101),x91102),f331(f16(f885(x91101,a871),x91101),x91102)))) % 159.04/158.76 [9145]P49(x91451,x91452,x91453)+P104(f331(f331(f333(x91451),f575(x91453,x91452,x91451)),x91452))+~P104(f331(f331(f244(f885(f884(x91451,x91451),a871)),x91453),f331(f331(f267(x91451,x91451),x91452),f331(f16(f885(x91451,a871),x91451),x91452)))) % 159.04/158.76 [9146]P49(x91461,x91462,x91463)+P104(f331(f331(f333(x91461),f590(x91462,x91463,x91461)),x91462))+~P104(f331(f331(f244(f885(f884(x91461,x91461),a871)),x91463),f331(f331(f267(x91461,x91461),x91462),f331(f16(f885(x91461,a871),x91461),x91462)))) % 159.04/158.76 [9181]~P62(x91811)+~P104(f331(f331(f245(x91811),x91812),x91813))+P104(f331(f331(f245(x91811),f331(f331(f288(x91811),f331(f331(f80(x91811),x91812),x91813)),f331(f331(f80(x91811),f78(x91811)),f78(x91811)))),x91813)) % 159.04/158.76 [9210]~P61(x92101)+P104(f331(f331(f244(x92101),x92102),x92103))+~P104(f331(f331(f244(x92101),f331(f331(f81(x92101),f428(x92103,x92102,x92101)),x92102)),x92103)) % 159.04/158.76 [9348]E(f331(f195(f877(f877(x93481))),f331(f135(f877(x93481),f331(f331(f8(a876,a871,f877(x93481)),f331(f245(a876),x93482)),f195(f877(x93481)))),f180(x93481,x93483))),f331(f195(f877(x93481)),f331(f331(f164(f877(x93481)),x93483),x93482)))+~P30(a876,f331(f168(a876),f331(f331(f153(f877(x93481),a876),f195(f877(x93481))),x93483)))+~P104(f331(f331(f245(a876),x93482),f331(f195(f877(f877(x93481))),x93483))) % 159.04/158.76 [9456]~P39(x94561,x94562)+P22(x94561,f331(f331(f265(f885(f884(x94561,x94561),a871),f885(f884(x94561,x94561),a871)),x94562),x94563))+~P104(f331(f331(f244(f885(f884(x94561,x94561),a871)),f331(f331(f287(x94561,x94561,x94561),x94562),x94563)),x94562)) % 159.04/158.76 [9463]E(f331(f331(f153(f877(x94631),x94631),f331(f331(f7(f877(x94631),a876,x94631),f164(x94631)),x94632)),f331(f135(f877(x94631),f331(f331(f8(a876,a871,f877(x94631)),f331(f245(a876),x94632)),f195(f877(x94631)))),f180(x94631,x94633))),f331(f331(f164(f877(x94631)),x94633),x94632))+~P30(a876,f331(f168(a876),f331(f331(f153(f877(x94631),a876),f195(f877(x94631))),x94633)))+~P104(f331(f331(f245(a876),x94632),f331(f195(f877(f877(x94631))),x94633))) % 159.04/158.76 [9597]P49(x95971,x95972,x95973)+~P104(f331(f331(f333(f884(x95971,x95971)),f331(f331(f265(x95971,x95971),f575(x95973,x95972,x95971)),f575(x95973,x95972,x95971))),x95973))+~P104(f331(f331(f244(f885(f884(x95971,x95971),a871)),x95973),f331(f331(f267(x95971,x95971),x95972),f331(f16(f885(x95971,a871),x95971),x95972)))) % 159.04/158.76 [9598]P49(x95981,x95982,x95983)+~P104(f331(f331(f333(f884(x95981,x95981)),f331(f331(f265(x95981,x95981),f590(x95982,x95983,x95981)),f590(x95982,x95983,x95981))),x95983))+~P104(f331(f331(f244(f885(f884(x95981,x95981),a871)),x95983),f331(f331(f267(x95981,x95981),x95982),f331(f16(f885(x95981,a871),x95981),x95982)))) % 159.04/158.76 [9772]~P138(x97721)+~P121(x97721)+E(f331(f331(f288(x97721),f331(f106(x97721),f331(f331(f73(f884(a1,a1),a1,x97722,f264(a1,a1)),f221(x97722)),x97723))),f331(f106(x97721),f331(f331(f73(f884(a1,a1),a1,x97722,f268(a1,a1)),f221(x97722)),x97723))),f234(x97722,x97721,x97723)) % 159.04/158.76 [9973]~E(x99733,f2(a876))+~E(f331(f195(f877(x99731)),f331(f331(f164(f877(x99731)),x99732),f636(x99733,x99731,x99732))),x99733)+E(f331(f331(f153(a876,f877(x99731)),f331(f331(f7(a876,f877(a876),f877(x99731)),f331(f331(f8(f885(a876,x99731),f885(f877(a876),f877(x99731)),a876),f153(a876,x99731)),f331(f7(a876,a876,x99731),f331(f331(f8(f877(x99731),f885(a876,x99731),a876),f164(x99731)),f331(f164(f877(x99731)),x99732))))),f138(a876,f331(f300(a876,f2(a876)),f331(f195(f877(f877(x99731))),x99732))))),f138(a876,f331(f300(a876,f2(a876)),x99733))),f180(x99731,x99732)) % 159.04/158.76 [9974]E(x99741,f117(f877(x99742)))+~E(f331(f195(f877(x99742)),f331(f331(f164(f877(x99742)),x99741),f636(x99743,x99742,x99741))),x99743)+E(f331(f331(f153(a876,f877(x99742)),f331(f331(f7(a876,f877(a876),f877(x99742)),f331(f331(f8(f885(a876,x99742),f885(f877(a876),f877(x99742)),a876),f153(a876,x99742)),f331(f7(a876,a876,x99742),f331(f331(f8(f877(x99742),f885(a876,x99742),a876),f164(x99742)),f331(f164(f877(x99742)),x99741))))),f138(a876,f331(f300(a876,f2(a876)),f331(f195(f877(f877(x99742))),x99741))))),f138(a876,f331(f300(a876,f2(a876)),x99743))),f180(x99742,x99741)) % 159.04/158.76 [9975]~E(x99753,f2(a876))+E(f331(f331(f153(a876,f877(x99751)),f331(f331(f7(a876,f877(a876),f877(x99751)),f331(f331(f8(f885(a876,x99751),f885(f877(a876),f877(x99751)),a876),f153(a876,x99751)),f331(f7(a876,a876,x99751),f331(f331(f8(f877(x99751),f885(a876,x99751),a876),f164(x99751)),f331(f164(f877(x99751)),x99752))))),f138(a876,f331(f300(a876,f2(a876)),f331(f195(f877(f877(x99751))),x99752))))),f138(a876,f331(f300(a876,f2(a876)),x99753))),f180(x99751,x99752))+P104(f331(f331(f245(a876),f636(x99753,x99751,x99752)),f331(f195(f877(f877(x99751))),x99752))) % 159.04/158.76 [9976]E(x99761,f117(f877(x99762)))+E(f331(f331(f153(a876,f877(x99762)),f331(f331(f7(a876,f877(a876),f877(x99762)),f331(f331(f8(f885(a876,x99762),f885(f877(a876),f877(x99762)),a876),f153(a876,x99762)),f331(f7(a876,a876,x99762),f331(f331(f8(f877(x99762),f885(a876,x99762),a876),f164(x99762)),f331(f164(f877(x99762)),x99761))))),f138(a876,f331(f300(a876,f2(a876)),f331(f195(f877(f877(x99762))),x99761))))),f138(a876,f331(f300(a876,f2(a876)),x99763))),f180(x99762,x99761))+P104(f331(f331(f245(a876),f636(x99763,x99762,x99761)),f331(f195(f877(f877(x99762))),x99761))) % 159.04/158.76 [7713]E(f331(f331(f80(a876),f331(f107(a876),x77131)),f331(f331(f80(a876),f331(f107(a876),x77132)),x77133)),f331(f331(f80(a876),f331(f107(a876),f331(f331(f80(a1),x77131),x77132))),x77133))+P104(f331(a200,f331(f107(a1),x77131)))+P104(f331(a200,f331(f107(a1),x77132))) % 159.04/158.76 [8485]~P104(f331(f62(x84851),x84852))+~P104(f331(f331(f333(x84851),x84853),x84852))+E(f331(a116,f331(f38(x84851),f331(f331(f22(f885(x84851,a871)),x84852),f331(f331(f308(x84851),x84853),f194(f885(x84851,a871)))))),f331(f38(x84851),x84852)) % 159.04/158.76 [8504]~P104(f331(f62(x85041),x85042))+~P104(f331(f331(f333(x85041),x85043),x85042))+E(f331(f331(f80(a876),f78(a876)),f331(f38(x85041),f331(f331(f22(f885(x85041,a871)),x85042),f331(f331(f308(x85041),x85043),f194(f885(x85041,a871)))))),f331(f38(x85041),x85042)) % 159.04/158.76 [8588]~P107(x85881)+~P104(f331(f62(x85881),x85883))+E(f331(f331(f147(x85881,x85881,f5(x85881)),x85882),f138(x85881,f331(f331(f22(f885(x85881,a871)),x85883),f331(f331(f308(x85881),x85882),f194(f885(x85881,a871)))))),f138(x85881,f331(f331(f308(x85881),x85882),x85883))) % 159.04/158.76 [8739]~P104(f331(f62(x87391),x87393))+~P104(f331(f62(x87391),x87392))+E(f331(f331(f80(a876),f331(f38(x87391),f331(f331(f114(f885(x87391,a871)),x87392),x87393))),f331(f38(x87391),f331(f331(f105(f885(x87391,a871)),x87392),x87393))),f331(f331(f80(a876),f331(f38(x87391),x87392)),f331(f38(x87391),x87393))) % 159.04/158.76 [9921]~P21(x99211,f885(f885(x99211,a871),a871),f331(f331(f7(x99211,f885(f884(x99211,x99211),a871),f885(f885(x99211,a871),a871)),f331(f331(f8(f885(x99211,a871),f885(f885(f884(x99211,x99211),a871),f885(f885(x99211,a871),a871)),x99211),f61(x99211)),f331(f331(f7(x99211,f885(x99211,a871),f885(x99211,a871)),f308(x99211)),f194(f885(x99211,a871))))),x99213),x99212)+~P104(f331(f62(x99211),x99212))+E(f331(f38(f885(x99211,a871)),f331(f331(f61(x99211),x99212),x99213)),f331(f38(x99211),x99212)) % 159.04/158.76 [7981]~P92(x79811)+P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),x79813)))+E(f331(f331(f255(x79811),x79812),f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),x79813),x79813)),a101))),f78(x79811)) % 159.04/158.76 [9439]~P92(x94391)+~P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),x94393)))+E(f331(f331(f255(x94391),x94392),f331(f107(a876),f331(f331(f22(a1),f331(f331(f80(a1),x94393),x94393)),a101))),f331(f331(f86(x94391,x94391),f331(f331(f255(x94391),x94392),f331(f107(a876),x94393))),f331(f331(f18(x94391,x94391,x94391),f331(f331(f8(x94391,f885(x94391,x94391),x94391),f81(x94391)),f331(f81(x94391),x94392))),f5(x94391)))) % 159.04/158.76 [9831]~P104(f331(f136(x98311),x98313))+~P104(f331(f331(f333(x98311),x98312),f331(f172(x98311),x98313)))+E(f331(f331(f137(x98311),f331(f195(f877(x98311)),f177(x98311,f331(f331(f8(a871,a871,x98311),a326),f331(f331(f7(x98311,x98311,a871),a328),x98312)),f331(f168(x98311),x98313)))),f331(f168(x98311),x98313)),f331(f331(f150(x98311),x98312),f331(f168(x98311),f177(x98311,f331(f331(f8(a871,a871,x98311),a326),f331(f331(f7(x98311,x98311,a871),a328),x98312)),x98313)))) % 159.04/158.76 [9902]P104(f331(f331(f244(f885(f884(x99021,x99021),a871)),f306(x99021,x99022)),x99023))+~P104(f331(f331(f244(f885(f884(x99021,x99021),a871)),f306(x99021,f194(f885(f884(x99021,x99021),a871)))),x99023))+~P104(f331(f331(f244(f885(f884(x99021,x99021),a871)),f331(f331(f287(x99021,x99021,x99021),f331(f331(f105(f885(f884(x99021,x99021),a871)),f306(x99021,x99022)),x99023)),x99022)),x99023)) % 159.04/158.76 [9743]~P104(f331(f62(x97431),f331(f250(x97431),x97433)))+~P104(f331(f62(x97431),f331(f250(x97431),x97432)))+P104(f331(f62(x97431),f331(f250(x97431),f331(f331(f18(x97431,a871,a871),f331(f331(f8(a871,f885(a871,a871),x97431),a330),x97432)),x97433)))) % 159.04/158.76 [10036]P104(f331(f331(f244(f885(f884(x100361,x100361),a871)),f331(f331(f287(x100361,x100361,x100361),x100362),f306(x100361,x100362))),x100363))+~P104(f331(f331(f244(f885(f884(x100361,x100361),a871)),x100362),x100363))+~P104(f331(f331(f244(f885(f884(x100361,x100361),a871)),f331(f331(f287(x100361,x100361,x100361),f331(f331(f105(f885(f884(x100361,x100361),a871)),f331(f331(f287(x100361,x100361,x100361),x100362),f306(x100361,x100362))),x100363)),x100362)),x100363)) % 159.04/158.76 [9989]~P119(x99892)+E(x99891,f2(x99892))+~E(f331(f331(f80(x99892),f331(f331(f255(x99892),x99893),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f255(x99892),x99891),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f2(x99892)) % 159.04/158.76 [9990]~P119(x99902)+E(x99901,f2(x99902))+~E(f331(f331(f80(x99902),f331(f331(f255(x99902),x99901),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f255(x99902),x99903),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f2(x99902)) % 159.04/158.76 [9995]~P104(f331(f136(x99951),x99953))+~P104(f331(f331(f333(x99951),x99952),f331(f172(x99951),x99953)))+E(f331(f168(x99951),f331(f171(x99951),f331(f331(f137(x99951),f331(f195(f877(x99951)),f177(x99951,f331(f331(f8(a871,a871,x99951),a326),f331(f331(f7(x99951,x99951,a871),a328),x99952)),x99953))),x99953))),f177(x99951,f331(f331(f8(a871,a871,x99951),a326),f331(f331(f7(x99951,x99951,a871),a328),x99952)),f331(f168(x99951),x99953))) % 159.04/158.76 [10081]~P119(x100812)+E(x100811,f2(x100812))+P104(f331(f331(f245(x100812),f2(x100812)),f331(f331(f80(x100812),f331(f331(f255(x100812),x100813),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f255(x100812),x100811),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))))) % 159.04/158.76 [10082]~P119(x100822)+E(x100821,f2(x100822))+P104(f331(f331(f245(x100822),f2(x100822)),f331(f331(f80(x100822),f331(f331(f255(x100822),x100821),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f255(x100822),x100823),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))))) % 159.04/158.76 [10124]~P119(x101241)+P104(f331(f331(f244(x101241),f2(x101241)),x101242))+~P104(f331(f331(f244(x101241),f2(x101241)),f331(f331(f255(x101241),x101242),f331(a116,f331(f331(f81(a876),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),x101243))))) % 159.04/158.76 [5491]~P20(x54911,x54914,x54913)+P20(x54911,x54912,x54913)+~P20(x54911,x54912,x54914) % 159.04/158.76 [4953]~E(x49532,f90(x49533,x49531))+P104(f331(x49531,x49532))+~P104(f331(x49531,x49534)) % 159.04/158.76 [6703]~P39(x67032,x67034)+~P39(x67031,x67033)+P39(f884(x67031,x67032),f324(x67031,x67032,x67033,x67034)) % 159.04/158.76 [5132]~P2(x51324,x51321)+~E(f331(x51321,x51322),f331(x51321,x51323))+P104(f331(f331(x51321,x51322),x51323)) % 159.04/158.76 [5303]~P2(x53034,x53031)+E(f331(x53031,x53032),f331(x53031,x53033))+~P104(f331(f331(x53031,x53032),x53033)) % 159.04/158.76 [5397]~P14(x53973,x53974,x53971)+E(f331(x53971,x53972),f331(f64(x53973,x53974),x53972))+~P104(f331(f62(x53973),x53972)) % 159.04/158.76 [5398]~P5(x53983,x53984,x53981)+E(f331(x53981,x53982),f331(f64(x53983,x53984),x53982))+~P104(f331(f62(x53983),x53982)) % 159.04/158.76 [5524]~P2(x55244,x55241)+~P104(f331(f331(x55241,x55243),x55242))+P104(f331(f331(x55241,x55242),x55243)) % 159.04/158.76 [5592]E(x55921,x55922)+~E(f331(f264(x55923,x55924),x55921),f331(f264(x55923,x55924),x55922))+~E(f331(f268(x55923,x55924),x55921),f331(f268(x55923,x55924),x55922)) % 159.04/158.76 [5617]E(x56171,x56172)+~P104(f331(f48(x56173,x56174),x56172))+~P104(f331(f48(x56173,x56174),x56171)) % 159.04/158.76 [5809]~P69(x58092)+E(f235(x58091,x58092,x58093,x58094),f2(x58092))+P104(f331(f62(x58091),x58094)) % 159.04/158.76 [5946]~P104(f331(f319(x59461,x59462),x59464))+P104(f331(f319(x59461,x59462),x59463))+~P104(f331(f331(x59462,x59463),x59464)) % 159.04/158.76 [7901]~P107(x79012)+~P104(f331(f136(x79011),x79014))+P104(f331(f136(x79011),f149(x79011,x79012,x79013,x79014))) % 159.04/158.76 [8129]~P104(f331(f62(x81292),x81294))+~P104(f331(f62(x81291),x81293))+P104(f331(f62(f883(x81291,x81292)),f317(x81291,x81292,x81293,x81294))) % 159.04/158.76 [8130]~P104(f331(f136(x81302),x81304))+~P104(f331(f136(x81301),x81303))+P104(f331(f136(f884(x81301,x81302)),f60(x81301,x81302,x81303,x81304))) % 159.04/158.76 [8134]P104(f331(f331(f333(f877(x81341)),f331(f331(f126(x81341),x81342),x81343)),f160(x81341,x81344)))+~P104(f331(f331(f333(f877(x81341)),x81343),f160(x81341,x81344)))+~P104(f331(f331(f333(f877(x81341)),x81342),f160(x81341,x81344))) % 159.04/158.76 [8464]~P107(x84643)+~P104(f331(f136(x84641),f149(x84641,x84643,x84644,x84642)))+P104(f331(f136(x84641),x84642)) % 159.04/158.76 [8730]~P104(f331(f331(f333(f884(x87301,x87301)),f331(f331(f265(x87301,x87301),x87302),x87304)),f306(x87301,x87303)))+P104(f331(f331(f333(x87301),x87302),f320(x87301,x87303)))+~P104(f331(f331(f333(x87301),x87304),f320(x87301,x87303))) % 159.04/158.76 [5116]~P69(x51162)+E(f331(f331(f6(x51161,x51162),x51163),x51164),f2(x51162))+P104(f331(f62(x51161),x51164)) % 159.04/158.76 [5119]~P68(x51192)+E(f331(f331(f9(x51191,x51192),x51193),x51194),f78(x51192))+P104(f331(f62(x51191),x51194)) % 159.04/158.76 [5267]~P70(x52673)+E(x52671,x52672)+~E(f331(f331(f80(x52673),x52674),x52671),f331(f331(f80(x52673),x52674),x52672)) % 159.04/158.76 [5268]~P71(x52683)+E(x52681,x52682)+~E(f331(f331(f80(x52683),x52684),x52681),f331(f331(f80(x52683),x52684),x52682)) % 159.04/158.76 [5270]~P70(x52703)+E(x52701,x52702)+~E(f331(f331(f80(x52703),x52701),x52704),f331(f331(f80(x52703),x52702),x52704)) % 159.04/158.76 [5350]~E(x53502,f331(f331(f308(x53501),x53503),x53504))+~P104(f331(f62(x53501),x53504))+P104(f331(f62(x53501),x53502)) % 159.04/158.76 [5393]~P28(x53933)+E(x53931,f194(f885(x53932,a871)))+E(f331(f331(f42(x53932,x53933),x53931),f331(f16(x53933,x53932),x53934)),x53934) % 159.04/158.76 [5394]~P28(x53943)+E(x53941,f194(f885(x53942,a871)))+E(f331(f331(f43(x53942,x53943),x53941),f331(f16(x53943,x53942),x53944)),x53944) % 159.04/158.76 [5605]~P108(x56053)+E(x56051,x56052)+~E(f301(x56053,x56054,x56051),f331(f331(f308(x56053),x56052),f194(f885(x56053,a871)))) % 159.04/158.76 [5606]~P108(x56063)+E(x56061,x56062)+~E(f301(x56063,x56061,x56062),f331(f331(f308(x56063),x56064),f194(f885(x56063,a871)))) % 159.04/158.76 [5666]~P37(x56663,x56661,x56664)+P37(x56663,x56661,f331(f331(f150(x56663),x56662),x56664))+P104(f331(x56661,x56662)) % 159.04/158.76 [5769]~P33(x57691,x57692,x57694)+~P104(f331(x57692,x57693))+P33(x57691,x57692,f331(f331(f150(x57691),x57693),x57694)) % 159.04/158.76 [5902]P104(f331(x59021,x59022))+~P104(f331(f258(x59023,x59021),x59024))+~P104(f331(f331(f333(x59023),x59022),x59024)) % 159.04/158.76 [5911]~P33(x59111,x59112,x59114)+~P33(x59111,x59112,x59113)+P33(x59111,x59112,f331(f331(f126(x59111),x59113),x59114)) % 159.04/158.76 [5921]P35(x59211,x59212,x59213)+~P35(x59211,x59212,f331(f331(f150(x59211),x59214),x59213))+P104(f331(x59212,x59214)) % 159.04/158.76 [5922]P37(x59221,x59222,x59223)+~P37(x59221,x59222,f331(f331(f150(x59221),x59224),x59223))+P104(f331(x59222,x59224)) % 159.04/158.76 [5935]E(x59351,x59352)+~P104(f331(f331(f201(x59353),x59354),x59352))+~P104(f331(f331(f201(x59353),x59354),x59351)) % 159.04/158.76 [6001]P35(x60011,x60012,x60013)+P35(x60011,x60012,x60014)+~P35(x60011,x60012,f331(f331(f126(x60011),x60014),x60013)) % 159.04/158.76 [6020]~P69(x60201)+E(f331(f331(f6(a876,x60201),x60202),f331(f300(a876,x60203),f331(a116,x60204))),f2(x60201))+~P104(f331(f331(f245(a876),x60204),x60203)) % 159.04/158.76 [6025]~P27(x60251)+~E(f45(x60251,x60252,x60253),f45(x60251,x60254,x60253))+E(f45(x60251,f331(f79(x60251),x60252),x60253),f45(x60251,f331(f79(x60251),x60254),x60253)) % 159.04/158.76 [6093]P104(f331(x60931,x60932))+~E(f331(f135(x60933,x60931),x60934),x60934)+~P104(f331(f331(f333(x60933),x60932),f331(f172(x60933),x60934))) % 159.04/158.76 [6112]~E(f331(f331(f80(a876),x61123),x61122),f331(f331(f80(a876),x61121),x61124))+~P104(f331(f331(f245(a876),x61123),x61124))+P104(f331(f331(f245(a876),x61121),x61122)) % 159.04/158.76 [6116]P35(x61161,x61162,x61163)+~P104(f331(x61162,x61164))+~P104(f331(f331(f333(x61161),x61164),f331(f172(x61161),x61163))) % 159.04/158.76 [6152]~P33(x61523,x61521,x61524)+P104(f331(x61521,x61522))+~P104(f331(f331(f333(x61523),x61522),f331(f172(x61523),x61524))) % 159.04/158.76 [6154]~E(f331(f135(x61541,x61542),x61543),f117(x61541))+~P104(f331(x61542,x61544))+~P104(f331(f331(f333(x61541),x61544),f331(f172(x61541),x61543))) % 159.04/158.76 [6155]~E(f177(x61553,x61551,x61554),x61554)+P104(f331(x61551,x61552))+~P104(f331(f331(f333(x61553),x61552),f331(f172(x61553),x61554))) % 159.04/158.76 [6189]~E(x61894,f194(f885(x61892,a871)))+~E(x61893,f194(f885(x61891,a871)))+E(f317(x61891,x61892,x61893,x61894),f194(f885(f883(x61891,x61892),a871))) % 159.04/158.76 [6333]P104(f331(x63331,x63332))+~P104(f331(f159(x63333,x63331),x63334))+~P104(f331(f331(f333(x63333),x63332),f331(f172(x63333),x63334))) % 159.04/158.76 [6600]~P69(x66001)+E(f331(f331(f6(a876,x66001),x66002),f301(a876,x66003,f331(a116,x66004))),f2(x66001))+~P104(f331(f331(f245(a876),f331(a116,x66004)),x66003)) % 159.04/158.76 [6742]~P107(x67421)+E(f331(f331(f22(f885(x67421,a871)),f331(f300(x67421,x67422),x67423)),f331(f300(x67421,x67422),x67424)),f331(f300(x67421,x67424),x67423))+~P104(f331(f331(f244(x67421),x67422),x67424)) % 159.04/158.76 [7095]~P104(f331(f331(f333(f877(x70951)),x70954),f160(x70951,x70953)))+P104(f331(f331(f333(x70951),x70952),x70953))+~P104(f331(f331(f333(x70951),x70952),f331(f172(x70951),x70954))) % 159.04/158.76 [7102]~P39(x71021,x71022)+P104(f331(f331(f333(x71021),f760(x71022,x71021,x71023)),x71023))+~P104(f331(f331(f333(x71021),x71024),x71023)) % 159.04/158.76 [7158]~P69(x71581)+E(f331(f331(f331(f66(x71581,x71582,f80(x71581)),x71583),f2(x71581)),x71584),f331(f331(f6(x71582,x71581),x71583),x71584))+~P104(f331(f62(x71582),x71584)) % 159.04/158.76 [7160]~P68(x71601)+E(f331(f331(f331(f66(x71601,x71602,f81(x71601)),x71603),f78(x71601)),x71604),f331(f331(f9(x71602,x71601),x71603),x71604))+~P104(f331(f62(x71602),x71604)) % 159.04/158.76 [7188]P21(x71881,x71882,x71883,x71884)+~E(f331(f38(x71882),f331(f309(x71881,x71882,x71883),x71884)),f331(f38(x71881),x71884))+~P104(f331(f62(x71881),x71884)) % 159.04/158.76 [7374]~P69(x73741)+E(f331(f331(f80(x73741),f331(x73742,x73743)),f331(f331(f6(a876,x73741),x73742),f303(a876,x73743,x73744))),f331(f331(f6(a876,x73741),x73742),f301(a876,x73743,x73744)))+~P104(f331(f331(f244(a876),x73743),x73744)) % 159.04/158.76 [7384]~P69(x73841)+~P21(x73842,x73841,x73843,x73844)+E(f331(f331(f6(x73841,x73841),f34(x73841)),f331(f309(x73842,x73841,x73843),x73844)),f331(f331(f6(x73842,x73841),x73843),x73844)) % 159.04/158.76 [7385]~P68(x73851)+~P21(x73852,x73851,x73853,x73854)+E(f331(f331(f9(x73851,x73851),f34(x73851)),f331(f309(x73852,x73851,x73853),x73854)),f331(f331(f9(x73852,x73851),x73853),x73854)) % 159.04/158.76 [7438]E(f331(f38(f883(x74381,x74382)),f317(x74381,x74382,x74383,x74384)),f331(f331(f80(a876),f331(f38(x74381),x74383)),f331(f38(x74382),x74384)))+~P104(f331(f62(x74382),x74384))+~P104(f331(f62(x74381),x74383)) % 159.04/158.76 [7525]E(x75251,x75252)+P104(f331(f331(f333(x75253),x75251),f331(f172(x75253),f170(x75253,x75252,x75254))))+~P104(f331(f331(f333(x75253),x75251),f331(f172(x75253),x75254))) % 159.04/158.76 [7749]~P69(x77491)+E(f331(f331(f80(x77491),f331(f331(f6(a876,x77491),x77492),f331(f300(a876,x77493),x77494))),f331(x77492,x77494)),f331(f331(f6(a876,x77491),x77492),f331(f300(a876,x77493),f331(a116,x77494))))+P104(f331(f331(f245(a876),x77494),x77493)) % 159.04/158.76 [7802]~P21(x78021,x78022,x78023,f253(f885(x78021,a871)))+~P104(f331(f62(x78022),x78024))+P104(f331(f62(x78021),f331(f310(x78021,x78022,x78023),x78024))) % 159.04/158.76 [7914]P104(f331(f331(f333(f877(x79141)),f331(f331(f150(x79141),x79142),x79143)),f160(x79141,x79144)))+~P104(f331(f331(f333(f877(x79141)),x79143),f160(x79141,x79144)))+~P104(f331(f331(f333(x79141),x79142),x79144)) % 159.04/158.76 [8005]~E(f331(f309(x80053,x80051,x80054),f253(f885(x80053,a871))),f253(f885(x80051,a871)))+P104(f331(f62(x80051),x80052))+~P104(f331(f62(x80053),f331(f310(x80053,x80051,x80054),x80052))) % 159.04/158.76 [8101]~P21(x81011,x81013,x81014,x81012)+P104(f331(f62(x81011),x81012))+~P104(f331(f62(x81013),f331(f309(x81011,x81013,x81014),x81012))) % 159.04/158.76 [8122]~E(x81222,x81223)+P104(f331(f331(f333(f884(x81221,x81221)),f331(f331(f265(x81221,x81221),x81222),x81223)),f262(x81221,x81224)))+~P104(f331(f331(f333(x81221),x81222),x81224)) % 159.04/158.76 [8160]~P69(x81601)+E(f331(f331(f80(x81601),f331(f331(f6(a876,x81601),x81602),f301(a876,x81603,x81604))),f331(x81602,f331(a116,x81604))),f331(f331(f6(a876,x81601),x81602),f301(a876,x81603,f331(a116,x81604))))+P104(f331(f331(f245(a876),f331(a116,x81604)),x81603)) % 159.04/158.76 [8224]P104(f331(x82241,x82242))+~P104(f331(x82241,f331(f331(f164(x82243),x82244),f545(x82241,x82244,x82243))))+~P104(f331(f331(f333(x82243),x82242),f331(f172(x82243),x82244))) % 159.04/158.76 [8363]~P104(f331(f331(f333(x83631),x83632),f320(x83631,x83634)))+P104(f331(f331(f333(f877(x83631)),f331(f331(f150(x83631),x83632),x83633)),f320(f877(x83631),f156(x83631,x83634))))+~P104(f331(f331(f333(f877(x83631)),x83633),f320(f877(x83631),f156(x83631,x83634)))) % 159.04/158.76 [8376]~P21(x83762,x83763,x83764,f692(x83764,x83763,x83762,x83761))+P21(x83762,x83763,x83764,f41(f885(x83762,a871),x83761))+E(x83761,f194(f885(f885(x83762,a871),a871))) % 159.04/158.76 [8649]E(x86491,x86492)+~P104(f331(f331(f333(f884(x86493,x86493)),f331(f331(f265(x86493,x86493),x86491),x86492)),f306(x86493,x86494)))+P104(f331(f331(f333(x86493),x86491),f331(f263(x86493,x86493),x86494))) % 159.04/158.76 [8930]P21(x89302,x89303,x89304,f41(f885(x89302,a871),x89301))+E(x89301,f194(f885(f885(x89302,a871),a871)))+P104(f331(f331(f333(f885(x89302,a871)),f692(x89304,x89303,x89302,x89301)),x89301)) % 159.04/158.76 [9067]P104(f331(f62(x90671),x90672))+~P104(f331(f62(x90674),f331(f309(x90671,x90674,x90673),x90672)))+P104(f331(f331(f333(x90671),f482(x90673,x90674,x90672,x90671)),x90672)) % 159.04/158.76 [9159]~P28(x91592)+E(f331(f331(f65(x91591,x91592,f331(f331(f8(x91592,f885(x91592,x91592),x91591),f114(x91592)),x91593)),f194(x91592)),x91594),f331(f331(f42(x91591,x91592),x91594),x91593))+~P104(f331(f62(x91591),x91594)) % 159.04/158.76 [9160]~P28(x91602)+E(f331(f331(f65(x91601,x91602,f331(f331(f8(x91602,f885(x91602,x91602),x91601),f105(x91602)),x91603)),f253(x91602)),x91604),f331(f331(f43(x91601,x91602),x91604),x91603))+~P104(f331(f62(x91601),x91604)) % 159.04/158.76 [9245]P104(f331(x92451,x92452))+~P104(f331(x92451,f331(f331(f164(x92453),x92454),f553(x92452,x92451,x92454,x92453))))+~P104(f331(f331(f333(x92453),x92452),f331(f172(x92453),x92454))) % 159.04/158.76 [9265]E(x92651,x92652)+~P104(f331(f331(f333(f884(x92653,x92653)),f331(f331(f265(x92653,x92653),x92651),x92652)),f306(x92653,x92654)))+P104(f331(f331(f333(f884(x92653,x92653)),f331(f331(f265(x92653,x92653),x92651),x92652)),f331(f331(f287(x92653,x92653,x92653),x92654),f306(x92653,x92654)))) % 159.04/158.76 [9314]~E(f331(f195(f877(x93141)),x93142),f331(f195(f877(x93141)),x93143))+~P104(f331(f331(f333(f884(f877(x93141),f877(x93141))),f331(f331(f265(f877(x93141),f877(x93141)),x93142),x93143)),f146(x93141,x93144)))+P104(f331(f331(f333(f884(f877(x93141),f877(x93141))),f331(f331(f265(f877(x93141),f877(x93141)),x93142),x93143)),f144(x93141,x93144))) % 159.04/158.76 [9544]P33(x95441,f331(f331(f18(x95441,a871,a871),f331(f331(f8(a871,f885(a871,a871),x95441),a330),f331(f331(f8(a871,a871,x95441),a326),x95442))),f331(a328,x95443)),x95444)+~P104(f331(x95442,x95443))+~P37(x95441,x95442,f331(f331(f150(x95441),x95443),x95444)) % 159.04/158.76 [9705]~P33(x97051,f331(f331(f18(x97051,a871,a871),f331(f331(f8(a871,f885(a871,a871),x97051),a330),f331(f331(f8(a871,a871,x97051),a326),x97052))),f331(a328,x97053)),x97054)+~P104(f331(x97052,x97053))+P37(x97051,x97052,f331(f331(f150(x97051),x97053),x97054)) % 159.04/158.76 [9709]~P37(x97091,x97092,x97094)+~P33(x97091,f331(f331(f18(x97091,a871,a871),f331(f331(f8(a871,f885(a871,a871),x97091),a330),f331(f331(f8(a871,a871,x97091),a326),x97092))),f331(a328,x97093)),x97094)+P37(x97091,x97092,f331(f331(f150(x97091),x97093),x97094)) % 159.04/158.76 [9746]~P64(x97461)+E(f331(f331(f6(a876,x97461),f331(f331(f18(a876,x97461,x97461),f331(f331(f8(x97461,f885(x97461,x97461),a876),f22(x97461)),x97462)),f331(f331(f8(a876,x97461,a876),x97462),f331(f331(f7(a876,a876,a876),f80(a876)),f78(a876))))),f301(a876,x97463,x97464)),f2(x97461))+P104(f331(f331(f244(a876),x97463),x97464)) % 159.04/158.76 [9988]~P39(x99882,x99884)+~P21(x99882,x99881,x99883,f253(f885(x99882,a871)))+P39(x99881,f331(f309(f884(x99882,x99882),f884(x99881,x99881),f270(x99882,x99881,x99882,x99881,x99883,x99883)),x99884)) % 159.04/158.76 [10150]~E(f331(f195(f877(x101501)),x101503),f331(f195(f877(x101501)),x101502))+P104(f331(f331(f333(f884(f877(x101501),f877(x101501))),f331(f331(f265(f877(x101501),f877(x101501)),x101502),x101503)),f157(x101501,x101504)))+~P104(f331(f331(f269(x101501,x101501,a871),f331(f331(f7(x101501,f885(f884(x101501,x101501),a871),f885(x101501,a871)),f331(f331(f8(f885(x101501,f885(f885(f884(x101501,x101501),a871),a871)),f885(f885(f884(x101501,x101501),a871),f885(x101501,a871)),x101501),f7(x101501,f885(f884(x101501,x101501),a871),a871)),f331(f331(f8(f885(x101501,f884(x101501,x101501)),f885(x101501,f885(f885(f884(x101501,x101501),a871),a871)),x101501),f331(f8(f884(x101501,x101501),f885(f885(f884(x101501,x101501),a871),a871),x101501),f333(f884(x101501,x101501)))),f265(x101501,x101501)))),x101504)),f557(x101504,x101503,x101502,x101501))) % 159.04/158.76 [5985]~E(x59854,x59852)+P104(f331(x59851,x59852))+P104(f331(f331(f201(f32(x59851,x59853)),x59852),x59854)) % 159.04/158.76 [6077]~P26(x60771)+~E(x60772,f2(x60771))+E(f331(f331(f39(x60771),f331(f331(f81(x60771),x60772),x60773)),f331(f331(f81(x60771),x60772),x60774)),f2(x60771)) % 159.04/158.76 [6115]E(x61151,f117(x61152))+E(x61153,f331(f331(f22(a876),f331(f195(f877(x61152)),x61151)),f78(a876)))+E(f143(x61152,f331(f331(f158(x61152,x61151),x61153),x61154)),f143(x61152,x61151)) % 159.04/158.76 [6143]E(x61431,x61432)+P104(f331(x61433,x61432))+~P104(f331(f331(f331(f308(x61434),x61431),x61433),x61432)) % 159.04/158.76 [6159]~P69(x61591)+~P104(f331(f136(x61592),x61594))+E(f331(f165(x61591),f331(f331(f153(x61592,x61591),x61593),x61594)),f331(f331(f6(x61592,x61591),x61593),f331(f172(x61592),x61594))) % 159.04/158.76 [6182]~P68(x61822)+~P104(f331(f62(x61821),x61824))+E(f331(f331(f9(x61821,x61822),f331(f16(x61822,x61821),x61823)),x61824),f331(f331(f255(x61822),x61823),f331(f38(x61821),x61824))) % 159.04/158.76 [6236]~P26(x62362)+E(x62361,f2(x62362))+E(f331(f331(f39(x62362),f331(f331(f81(x62362),x62363),x62361)),f331(f331(f81(x62362),x62364),x62361)),f331(f331(f39(x62362),x62363),x62364)) % 159.04/158.76 [6238]~P59(x62382)+E(x62381,f2(x62382))+E(f331(f331(f288(x62382),f331(f331(f81(x62382),x62383),x62381)),f331(f331(f81(x62382),x62384),x62381)),f331(f331(f288(x62382),x62383),x62384)) % 159.04/158.76 [6239]~P59(x62392)+E(x62391,f2(x62392))+E(f331(f331(f288(x62392),f331(f331(f81(x62392),x62391),x62393)),f331(f331(f81(x62392),x62391),x62394)),f331(f331(f288(x62392),x62393),x62394)) % 159.04/158.76 [6240]~P26(x62402)+E(x62401,f2(x62402))+E(f331(f331(f39(x62402),f331(f331(f81(x62402),x62401),x62403)),f331(f331(f81(x62402),x62401),x62404)),f331(f331(f39(x62402),x62403),x62404)) % 159.04/158.76 [6303]P104(f331(x63031,x63032))+~E(x63033,f331(f331(f80(a876),x63034),x63032))+~P104(f331(x63031,f331(f331(f22(a876),x63033),x63034))) % 159.04/158.76 [6383]P23(x63831,x63832,x63833)+P31(x63831,f564(x63833,x63832,x63831),x63834)+~P104(f331(f331(f333(f875(x63831)),x63834),x63832)) % 159.04/158.76 [6385]~P104(f331(x63852,x63853))+~P104(f331(f159(x63851,x63852),x63854))+P104(f331(f159(x63851,x63852),f331(f331(f150(x63851),x63853),x63854))) % 159.04/158.76 [6425]E(x64251,f117(x64252))+~E(x64253,f331(f331(f22(a876),f331(f195(f877(x64252)),x64251)),f78(a876)))+E(f143(x64252,f331(f331(f158(x64252,x64251),x64253),x64254)),x64254) % 159.04/158.76 [6448]~P99(x64481)+~P104(f331(f331(f244(x64481),x64482),x64484))+P104(f331(f331(f244(x64481),x64482),f331(f331(f114(x64481),x64483),x64484))) % 159.04/158.76 [6449]~P99(x64491)+~P104(f331(f331(f244(x64491),x64492),x64493))+P104(f331(f331(f244(x64491),x64492),f331(f331(f114(x64491),x64493),x64494))) % 159.04/158.76 [6451]~P107(x64511)+~P104(f331(f331(f244(x64511),x64512),x64514))+P104(f331(f331(f244(x64511),x64512),f331(f331(f243(x64511),x64513),x64514))) % 159.04/158.76 [6453]~P107(x64531)+~P104(f331(f331(f244(x64531),x64532),x64533))+P104(f331(f331(f244(x64531),x64532),f331(f331(f243(x64531),x64533),x64534))) % 159.04/158.76 [6454]~P99(x64541)+~P104(f331(f331(f245(x64541),x64542),x64544))+P104(f331(f331(f245(x64541),x64542),f331(f331(f114(x64541),x64543),x64544))) % 159.04/158.76 [6455]~P99(x64551)+~P104(f331(f331(f245(x64551),x64552),x64553))+P104(f331(f331(f245(x64551),x64552),f331(f331(f114(x64551),x64553),x64554))) % 159.04/158.76 [6457]~P107(x64571)+~P104(f331(f331(f245(x64571),x64572),x64574))+P104(f331(f331(f245(x64571),x64572),f331(f331(f243(x64571),x64573),x64574))) % 159.04/158.76 [6459]~P107(x64591)+~P104(f331(f331(f245(x64591),x64592),x64593))+P104(f331(f331(f245(x64591),x64592),f331(f331(f243(x64591),x64593),x64594))) % 159.04/158.76 [6545]~E(f331(f331(f164(x65451),x65452),x65453),x65454)+E(f331(f331(f158(x65451,x65452),x65453),x65454),x65452)+~P104(f331(f331(f245(a876),x65453),f331(f195(f877(x65451)),x65452))) % 159.04/158.76 [6562]E(x65621,x65622)+P104(f331(x65623,x65621))+~P104(f331(f331(f201(f32(x65623,x65624)),x65621),x65622)) % 159.04/158.76 [6586]P104(f331(x65861,x65862))+~P104(f331(x65863,x65862))+~P104(f331(f331(f244(f885(x65864,a871)),x65863),x65861)) % 159.04/158.76 [6618]~E(f331(f331(f158(x66181,x66182),x66183),x66184),x66182)+E(f331(f331(f164(x66181),x66182),x66183),x66184)+~P104(f331(f331(f245(a876),x66183),f331(f195(f877(x66181)),x66182))) % 159.04/158.76 [6633]~P104(f331(f159(x66331,x66332),x66334))+~P104(f331(f159(x66331,x66332),x66333))+P104(f331(f159(x66331,x66332),f331(f331(f126(x66331),x66333),x66334))) % 159.04/158.76 [6730]P31(x67301,x67302,x67303)+~P31(x67301,f331(a116,x67302),f568(x67302,x67304,x67301))+~P104(f331(f331(f333(f875(x67301)),x67303),x67304)) % 159.04/158.76 [6739]E(x67391,f194(f885(x67392,a871)))+E(x67393,f194(f885(x67394,a871)))+~E(f331(f331(f267(x67394,x67392),x67393),f331(f16(f885(x67392,a871),x67394),x67391)),f194(f885(f884(x67394,x67392),a871))) % 159.04/158.76 [6758]E(x67581,x67582)+P104(f331(f331(f333(x67583),x67581),x67584))+~P104(f331(f331(f333(x67583),x67581),f331(f331(f308(x67583),x67582),x67584))) % 159.04/158.76 [6775]~P107(x67751)+P104(f331(f331(f244(x67751),x67752),x67753))+~P104(f331(f331(f244(x67751),x67752),f331(f331(f242(x67751),x67754),x67753))) % 159.04/158.76 [6777]~P107(x67771)+P104(f331(f331(f244(x67771),x67772),x67773))+~P104(f331(f331(f244(x67771),x67772),f331(f331(f242(x67771),x67773),x67774))) % 159.04/158.76 [6779]~P100(x67791)+P104(f331(f331(f244(x67791),x67792),x67793))+~P104(f331(f331(f244(x67791),x67792),f331(f331(f105(x67791),x67794),x67793))) % 159.04/158.76 [6781]~P100(x67811)+P104(f331(f331(f244(x67811),x67812),x67813))+~P104(f331(f331(f244(x67811),x67812),f331(f331(f105(x67811),x67813),x67814))) % 159.04/158.76 [6782]~P107(x67821)+P104(f331(f331(f245(x67821),x67822),x67823))+~P104(f331(f331(f245(x67821),x67822),f331(f331(f242(x67821),x67824),x67823))) % 159.04/158.76 [6783]~P107(x67831)+P104(f331(f331(f245(x67831),x67832),x67833))+~P104(f331(f331(f245(x67831),x67832),f331(f331(f242(x67831),x67833),x67834))) % 159.04/158.76 [6805]~E(f331(f331(f164(x68051),x68053),x68054),x68052)+P104(f331(f331(f333(x68051),x68052),f331(f172(x68051),x68053)))+~P104(f331(f331(f245(a876),x68054),f331(f195(f877(x68051)),x68053))) % 159.04/158.76 [6816]~P107(x68161)+~P30(x68161,f331(f331(f150(x68161),x68162),f331(f331(f150(x68161),x68163),x68164)))+P104(f331(f331(f244(x68161),x68162),x68163)) % 159.04/158.76 [6958]~P33(x69582,x69581,x69583)+P104(f331(x69581,f331(f331(f164(x69582),x69583),x69584)))+~P104(f331(f331(f245(a876),x69584),f331(f195(f877(x69582)),x69583))) % 159.04/158.76 [6977]E(x69771,f2(a1))+E(f331(f331(f39(a1),x69772),x69771),x69773)+~P104(f331(f49(x69772,x69771),f331(f331(f265(a1,a1),x69773),x69774))) % 159.04/158.76 [6998]E(f45(a1,x69982,x69981),x69983)+E(x69981,f2(a1))+~P104(f331(f49(x69982,x69981),f331(f331(f265(a1,a1),x69984),x69983))) % 159.04/158.76 [7119]P104(f331(f331(f333(x71191),x71192),x71193))+~P104(f331(f331(f333(x71191),x71192),x71194))+~P104(f331(f331(f245(f885(x71191,a871)),x71194),x71193)) % 159.04/158.76 [7120]P104(f331(f331(f333(x71201),x71202),x71203))+~P104(f331(f331(f333(x71201),x71202),x71204))+~P104(f331(f331(f244(f885(x71201,a871)),x71204),x71203)) % 159.04/158.76 [7228]P35(x72281,x72282,x72283)+~P104(f331(x72282,f331(f331(f164(x72281),x72283),x72284)))+~P104(f331(f331(f245(a876),x72284),f331(f195(f877(x72281)),x72283))) % 159.04/158.76 [7339]~P106(x73392)+~P104(f331(f331(f245(f885(x73391,x73392)),x73393),x73394))+P104(f331(f331(f244(f885(x73391,x73392)),x73393),x73394)) % 159.04/158.76 [7426]~P20(x74261,x74262,x74264)+P20(x74261,x74262,f331(f331(f308(f875(x74261)),x74263),x74264))+~P20(x74261,x74262,f331(f331(f308(f875(x74261)),x74263),f194(f885(f875(x74261),a871)))) % 159.04/158.76 [7471]~P104(f331(f331(f333(x74711),x74712),x74714))+P104(f331(f331(f333(x74711),x74712),f40(f885(x74711,a871),x74713)))+~P104(f331(f331(f333(f885(x74711,a871)),x74714),x74713)) % 159.04/158.76 [7483]P31(x74831,x74832,x74833)+P104(f331(f331(f333(f875(x74831)),f568(x74832,x74834,x74831)),x74834))+~P104(f331(f331(f333(f875(x74831)),x74833),x74834)) % 159.04/158.76 [7503]~P84(x75031)+~P104(f331(f331(f244(x75031),x75033),x75034))+P104(f331(f331(f244(x75031),f331(f331(f80(x75031),x75032),x75033)),f331(f331(f80(x75031),x75032),x75034))) % 159.04/158.76 [7504]~P85(x75041)+~P104(f331(f331(f244(x75041),x75043),x75044))+P104(f331(f331(f244(x75041),f331(f331(f80(x75041),x75042),x75043)),f331(f331(f80(x75041),x75042),x75044))) % 159.04/158.76 [7505]~P84(x75051)+~P104(f331(f331(f244(x75051),x75052),x75054))+P104(f331(f331(f244(x75051),f331(f331(f80(x75051),x75052),x75053)),f331(f331(f80(x75051),x75054),x75053))) % 159.04/158.76 [7506]~P85(x75061)+~P104(f331(f331(f244(x75061),x75062),x75064))+P104(f331(f331(f244(x75061),f331(f331(f80(x75061),x75062),x75063)),f331(f331(f80(x75061),x75064),x75063))) % 159.04/158.76 [7507]~P83(x75071)+~P104(f331(f331(f245(x75071),x75073),x75074))+P104(f331(f331(f245(x75071),f331(f331(f80(x75071),x75072),x75073)),f331(f331(f80(x75071),x75072),x75074))) % 159.04/158.76 [7508]~P84(x75081)+~P104(f331(f331(f245(x75081),x75083),x75084))+P104(f331(f331(f245(x75081),f331(f331(f80(x75081),x75082),x75083)),f331(f331(f80(x75081),x75082),x75084))) % 159.04/158.76 [7509]~P83(x75091)+~P104(f331(f331(f245(x75091),x75092),x75094))+P104(f331(f331(f245(x75091),f331(f331(f80(x75091),x75092),x75093)),f331(f331(f80(x75091),x75094),x75093))) % 159.04/158.76 [7510]~P84(x75101)+~P104(f331(f331(f245(x75101),x75102),x75104))+P104(f331(f331(f245(x75101),f331(f331(f80(x75101),x75102),x75103)),f331(f331(f80(x75101),x75104),x75103))) % 159.04/158.76 [7519]~P118(x75191)+~P93(x75191)+E(f331(f331(f22(x75191),f331(f331(f81(x75191),x75192),f331(f107(x75191),x75193))),f331(f331(f81(x75191),x75194),f331(f107(x75191),x75193))),f331(f331(f81(x75191),f331(f331(f22(x75191),x75192),x75194)),f331(f107(x75191),x75193))) % 159.04/158.76 [7520]~P139(x75201)+~P93(x75201)+E(f331(f331(f80(x75201),f331(f331(f81(x75201),x75202),f331(f107(x75201),x75203))),f331(f331(f81(x75201),x75204),f331(f107(x75201),x75203))),f331(f331(f81(x75201),f331(f331(f80(x75201),x75202),x75204)),f331(f107(x75201),x75203))) % 159.04/158.76 [7555]~P69(x75551)+E(f331(f331(f80(x75551),f331(x75552,x75553)),f331(f331(f6(a876,x75551),x75552),f301(a876,f331(a116,x75553),x75554))),f331(f331(f6(a876,x75551),x75552),f301(a876,x75553,x75554)))+~P104(f331(f331(f244(a876),x75553),x75554)) % 159.04/158.76 [7566]~P21(x75662,x75661,x75663,f331(f172(x75662),x75664))+~P104(f331(f136(x75662),x75664))+P104(f331(f136(x75661),f331(f331(f153(x75662,x75661),x75663),x75664))) % 159.04/158.76 [7613]~P104(f331(f331(f244(a876),x76132),x76134))+~P104(f331(f331(f244(a876),x76131),x76133))+P104(f331(f331(f244(a876),f331(f331(f81(a876),x76131),x76132)),f331(f331(f81(a876),x76133),x76134))) % 159.04/158.76 [7614]~P104(f331(f331(f244(a876),x76142),x76144))+~P104(f331(f331(f244(a876),x76141),x76143))+P104(f331(f331(f244(a876),f331(f331(f80(a876),x76141),x76142)),f331(f331(f80(a876),x76143),x76144))) % 159.04/158.76 [7617]~P104(f331(f331(f245(a876),x76172),x76174))+~P104(f331(f331(f245(a876),x76171),x76173))+P104(f331(f331(f245(a876),f331(f331(f80(a876),x76171),x76172)),f331(f331(f80(a876),x76173),x76174))) % 159.04/158.76 [7618]~P104(f331(f331(f244(a1),x76182),x76184))+~P104(f331(f331(f245(a1),x76181),x76183))+P104(f331(f331(f245(a1),f331(f331(f80(a1),x76181),x76182)),f331(f331(f80(a1),x76183),x76184))) % 159.04/158.76 [7666]P104(f331(f331(f333(x76661),x76662),x76663))+~P104(f331(f331(f333(x76661),x76662),f41(f885(x76661,a871),x76664)))+~P104(f331(f331(f333(f885(x76661,a871)),x76663),x76664)) % 159.04/158.76 [7681]~P104(f331(x76811,f544(x76811,x76813,x76812)))+P104(f331(x76811,f331(f331(f164(x76812),x76813),x76814)))+~P104(f331(f331(f245(a876),x76814),f331(f195(f877(x76812)),x76813))) % 159.04/158.76 [7686]P104(f331(x76861,x76862))+~P104(f331(f331(f333(x76864),x76862),f331(f172(x76864),x76863)))+P104(f331(f331(f245(a876),f545(x76861,x76863,x76864)),f331(f195(f877(x76864)),x76863))) % 159.04/158.76 [7706]~P104(f331(f331(f201(x77062),x77063),x77064))+~P104(f331(f331(f201(f32(x77061,x77062)),x77064),x77063))+P104(f331(f331(f201(f32(x77061,x77062)),x77063),x77063)) % 159.04/158.76 [7735]~P106(x77351)+~P104(f331(f331(f245(f885(x77352,x77351)),x77354),x77353))+~P104(f331(f331(f244(f885(x77352,x77351)),x77353),x77354)) % 159.04/158.76 [7779]~P104(f331(x77794,x77792))+~P104(f331(f331(f333(x77791),x77792),x77793))+P104(f331(f331(f333(x77791),x77792),f331(f331(f105(f885(x77791,a871)),x77793),f331(f250(x77791),x77794)))) % 159.04/158.76 [7923]~P104(f331(f331(f333(x79231),x79233),x79234))+~P104(f331(f331(f245(f885(x79231,a871)),x79232),x79234))+P104(f331(f331(f245(f885(x79231,a871)),x79232),f331(f331(f308(x79231),x79233),x79234))) % 159.04/158.76 [7925]E(f331(f331(f105(f885(x79251,a871)),x79252),x79253),f194(f885(x79251,a871)))+~E(f331(f331(f105(f885(x79251,a871)),f40(f885(x79251,a871),x79254)),x79253),f194(f885(x79251,a871)))+~P104(f331(f331(f333(f885(x79251,a871)),x79252),x79254)) % 159.04/158.76 [8001]P104(f331(f331(f333(x80011),x80012),x80013))+~P104(f331(f331(f244(f885(x80011,a871)),x80013),f331(f331(f308(x80011),x80012),x80014)))+P104(f331(f331(f244(f885(x80011,a871)),x80013),x80014)) % 159.04/158.76 [8023]P104(f331(f331(f333(x80232),f544(x80231,x80233,x80232)),f331(f172(x80232),x80233)))+P104(f331(x80231,f331(f331(f164(x80232),x80233),x80234)))+~P104(f331(f331(f245(a876),x80234),f331(f195(f877(x80232)),x80233))) % 159.04/158.76 [8031]~P104(f331(f331(f244(f885(x80311,a871)),x80312),x80314))+P104(f331(f331(f244(f885(x80311,a871)),x80312),x80313))+~P104(f331(f331(f244(f885(x80311,a871)),x80314),x80313)) % 159.04/158.76 [8032]~P104(f331(f331(f245(f885(x80321,a871)),x80322),x80324))+~P104(f331(f331(f244(f885(x80321,a871)),x80324),x80323))+P104(f331(f331(f245(f885(x80321,a871)),x80322),x80323)) % 159.04/158.76 [8033]~P104(f331(f331(f244(f885(x80331,a871)),x80332),x80334))+~P104(f331(f331(f245(f885(x80331,a871)),x80334),x80333))+P104(f331(f331(f245(f885(x80331,a871)),x80332),x80333)) % 159.04/158.76 [8034]~P104(f331(f331(f245(f885(x80341,a871)),x80342),x80344))+P104(f331(f331(f245(f885(x80341,a871)),x80342),x80343))+~P104(f331(f331(f245(f885(x80341,a871)),x80344),x80343)) % 159.04/158.76 [8074]~P104(f331(f331(f333(x80741),x80744),x80743))+~P104(f331(f331(f245(f885(x80741,a871)),x80742),f331(f331(f308(x80741),x80744),x80743)))+P104(f331(f331(f245(f885(x80741,a871)),x80742),x80743)) % 159.04/158.76 [8086]~P84(x80861)+P104(f331(f331(f244(x80861),x80862),x80863))+~P104(f331(f331(f244(x80861),f331(f331(f80(x80861),x80864),x80862)),f331(f331(f80(x80861),x80864),x80863))) % 159.04/158.76 [8088]~P84(x80881)+P104(f331(f331(f244(x80881),x80882),x80883))+~P104(f331(f331(f244(x80881),f331(f331(f80(x80881),x80882),x80884)),f331(f331(f80(x80881),x80883),x80884))) % 159.04/158.76 [8090]~P84(x80901)+P104(f331(f331(f245(x80901),x80902),x80903))+~P104(f331(f331(f245(x80901),f331(f331(f80(x80901),x80904),x80902)),f331(f331(f80(x80901),x80904),x80903))) % 159.04/158.76 [8092]~P84(x80921)+P104(f331(f331(f245(x80921),x80922),x80923))+~P104(f331(f331(f245(x80921),f331(f331(f80(x80921),x80922),x80924)),f331(f331(f80(x80921),x80923),x80924))) % 159.04/158.76 [8140]P104(f331(x81401,x81402))+~E(f331(f331(f137(x81403),f331(f195(f877(x81403)),f177(x81403,x81401,x81404))),x81404),f117(x81403))+~P104(f331(f331(f333(x81403),x81402),f331(f172(x81403),x81404))) % 159.04/158.76 [8266]P104(f331(x82661,x82662))+~P104(f331(f331(f333(x82663),x82662),f331(f172(x82663),x82664)))+P104(f331(f331(f245(a876),f331(f195(f877(x82663)),f331(f135(x82663,x82661),x82664))),f331(f195(f877(x82663)),x82664))) % 159.04/158.76 [8393]E(x83931,x83932)+P104(f331(f331(f201(x83933),x83931),f865(x83932,x83931,x83933,x83934)))+~P104(f331(f331(f201(f32(x83934,x83933)),x83931),x83932)) % 159.04/158.76 [8423]~P104(f331(x84234,x84232))+P104(f331(f331(f201(x84231),x84232),f865(x84233,x84232,x84231,x84234)))+~P104(f331(f331(f201(f32(x84234,x84231)),x84232),x84233)) % 159.04/158.76 [8741]~P104(f331(x87411,f741(x87411,x87413,x87412,x87414)))+P104(f331(x87411,f331(f331(f164(x87412),x87413),x87414)))+~P104(f331(f331(f245(a876),x87414),f331(f195(f877(x87412)),x87413))) % 159.04/158.76 [8764]~P21(x87644,x87643,x87641,f253(f885(x87644,a871)))+E(f331(x87641,f828(x87642,x87641,x87643,x87644)),x87642)+~P104(f331(f331(f333(x87643),x87642),f331(f309(x87644,x87643,x87641),f253(f885(x87644,a871))))) % 159.04/158.76 [8830]E(f177(x88301,x88302,x88303),f331(f331(f175(x88301),x88304),x88303))+P104(f331(f331(f245(a876),f660(x88302,x88303,x88301,x88304)),x88304))+P104(f331(f331(f245(a876),x88304),f331(f195(f877(x88301)),x88303))) % 159.04/158.76 [8833]E(f177(x88331,x88332,x88333),f331(f331(f175(x88331),x88334),x88333))+P104(f331(f331(f245(a876),f660(x88332,x88333,x88331,x88334)),x88334))+P104(f331(x88332,f331(f331(f164(x88331),x88333),x88334))) % 159.04/158.76 [8862]P104(f331(x88621,x88622))+~P104(f331(f331(f333(x88624),x88622),f331(f172(x88624),x88623)))+P104(f331(f331(f245(a876),f553(x88622,x88621,x88623,x88624)),f331(f195(f877(x88624)),x88623))) % 159.04/158.76 [8865]E(f177(x88651,x88652,x88653),f331(f331(f175(x88651),x88654),x88653))+P104(f331(f331(f245(a876),x88654),f331(f195(f877(x88651)),x88653)))+P104(f331(f331(f245(a876),f660(x88652,x88653,x88651,x88654)),f331(f195(f877(x88651)),x88653))) % 159.04/158.76 [8872]E(f177(x88721,x88722,x88723),f331(f331(f175(x88721),x88724),x88723))+P104(f331(x88722,f331(f331(f164(x88721),x88723),x88724)))+P104(f331(f331(f245(a876),f660(x88722,x88723,x88721,x88724)),f331(f195(f877(x88721)),x88723))) % 159.04/158.76 [8899]~P122(x88994)+P104(f331(f331(f333(x88991),f802(x88992,x88993,x88991,x88994)),x88993))+P104(f331(f331(f245(x88994),f2(x88994)),f331(f331(f9(x88991,x88994),x88992),x88993))) % 159.04/158.76 [8900]~P122(x89004)+P104(f331(f331(f333(x89001),f813(x89002,x89003,x89001,x89004)),x89003))+P104(f331(f331(f244(x89004),f2(x89004)),f331(f331(f9(x89001,x89004),x89002),x89003))) % 159.04/158.76 [8932]~P104(f331(f62(x89321),x89324))+P104(f331(f331(f333(x89321),f594(x89322,x89323,x89324,x89321)),x89324))+P104(f331(f62(f884(x89321,x89323)),f331(f331(f267(x89321,x89323),x89324),x89322))) % 159.04/158.76 [8966]P104(f331(f331(f333(x89662),f741(x89661,x89663,x89662,x89664)),f331(f172(x89662),x89663)))+P104(f331(x89661,f331(f331(f164(x89662),x89663),x89664)))+~P104(f331(f331(f245(a876),x89664),f331(f195(f877(x89662)),x89663))) % 159.04/158.76 [8981]E(x89811,x89812)+P104(f331(f331(f201(f32(x89813,x89814)),f865(x89811,x89812,x89814,x89813)),x89811))+~P104(f331(f331(f201(f32(x89813,x89814)),x89812),x89811)) % 159.04/158.76 [9001]~P104(f331(x90011,x90014))+P104(f331(f331(f201(f32(x90011,x90012)),f865(x90013,x90014,x90012,x90011)),x90013))+~P104(f331(f331(f201(f32(x90011,x90012)),x90014),x90013)) % 159.04/158.76 [9096]P104(f331(f331(f244(a876),x90964),f331(f195(f877(x90962)),f177(x90962,x90963,x90961))))+P104(f331(f331(f245(a876),f661(x90961,x90962,x90963,x90964)),x90964))+~P104(f331(f331(f244(a876),x90964),f331(f195(f877(x90962)),x90961))) % 159.04/158.76 [9200]~E(f331(f331(f178(x92001,x92002),x92003),f704(x92004,x92003,x92002,x92001)),f331(f331(f178(x92001,x92002),x92004),f704(x92004,x92003,x92002,x92001)))+E(f331(f178(x92001,x92002),x92003),f331(f178(x92001,x92002),x92004))+~E(f331(f172(x92001),f331(f331(f153(f884(x92001,x92002),x92001),f264(x92001,x92002)),x92003)),f331(f172(x92001),f331(f331(f153(f884(x92001,x92002),x92001),f264(x92001,x92002)),x92004))) % 159.04/158.76 [9248]E(f177(x92481,x92482,x92483),f331(f331(f175(x92481),x92484),x92483))+~P104(f331(x92482,f331(f331(f164(x92481),x92483),f660(x92482,x92483,x92481,x92484))))+P104(f331(f331(f245(a876),x92484),f331(f195(f877(x92481)),x92483))) % 159.04/158.76 [9252]E(f177(x92521,x92522,x92523),f331(f331(f175(x92521),x92524),x92523))+~P104(f331(x92522,f331(f331(f164(x92521),x92523),f660(x92522,x92523,x92521,x92524))))+P104(f331(x92522,f331(f331(f164(x92521),x92523),x92524))) % 159.04/158.76 [9259]~P104(f331(f62(x92591),x92593))+~P104(f331(f62(x92592),f331(x92594,f594(x92594,x92592,x92593,x92591))))+P104(f331(f62(f884(x92591,x92592)),f331(f331(f267(x92591,x92592),x92593),x92594))) % 159.04/158.76 [9267]~P122(x92671)+~P104(f331(f331(f244(x92671),f2(x92671)),f331(x92673,f813(x92673,x92674,x92672,x92671))))+P104(f331(f331(f244(x92671),f2(x92671)),f331(f331(f9(x92672,x92671),x92673),x92674))) % 159.04/158.76 [9268]~P122(x92681)+~P104(f331(f331(f245(x92681),f2(x92681)),f331(x92683,f802(x92683,x92684,x92682,x92681))))+P104(f331(f331(f245(x92681),f2(x92681)),f331(f331(f9(x92682,x92681),x92683),x92684))) % 159.04/158.76 [9274]~E(f331(f195(f877(x92744)),x92742),f331(f195(f877(x92744)),x92743))+P104(f331(f331(f333(f884(f877(x92744),f877(x92744))),f331(f331(f265(f877(x92744),f877(x92744)),x92743),x92742)),f157(x92744,x92741)))+P104(f331(f331(f245(a876),f556(x92741,x92742,x92743,x92744)),f331(f195(f877(x92744)),x92743))) % 159.04/158.76 [9328]~P104(f331(x93283,f331(f331(f164(x93282),x93284),f661(x93284,x93282,x93283,x93281))))+P104(f331(f331(f244(a876),x93281),f331(f195(f877(x93282)),f177(x93282,x93283,x93284))))+~P104(f331(f331(f244(a876),x93281),f331(f195(f877(x93282)),x93284))) % 159.04/158.76 [9405]E(f331(f331(f175(x94051),f555(x94052,x94053,x94054,x94051)),x94053),f331(f331(f175(x94051),f555(x94052,x94053,x94054,x94051)),x94054))+~P104(f331(f331(f333(f884(f877(x94051),f877(x94051))),f331(f331(f265(f877(x94051),f877(x94051)),x94054),x94053)),f146(x94051,x94052)))+P104(f331(f331(f245(a876),f331(f195(f877(x94051)),x94054)),f331(f195(f877(x94051)),x94053))) % 159.04/158.76 [9459]~P104(f331(f331(f245(a876),f2(a876)),x94593))+~P104(f331(f331(f245(a876),x94594),x94591))+P104(f331(f331(f245(a876),f331(f331(f80(a876),f331(f331(f81(a876),x94591),f45(a876,x94592,x94593))),x94594)),f331(f331(f81(a876),x94591),x94593))) % 159.04/158.76 [9650]~P106(x96502)+~P104(f331(f331(f244(x96502),f331(x96503,f476(x96504,x96503,x96501,x96502))),f331(x96504,f476(x96504,x96503,x96501,x96502))))+P104(f331(f331(f244(f885(x96501,x96502)),x96503),x96504)) % 159.04/158.76 [9753]~P64(x97531)+E(f331(f331(f6(a876,x97531),f331(f331(f18(a876,x97531,x97531),f331(f331(f8(x97531,f885(x97531,x97531),a876),f22(x97531)),x97532)),f331(f331(f8(a876,x97531,a876),x97532),f331(f331(f7(a876,a876,a876),f80(a876)),f78(a876))))),f301(a876,x97533,x97534)),f331(f331(f22(x97531),f331(x97532,x97533)),f331(x97532,f331(f331(f80(a876),x97534),f78(a876)))))+~P104(f331(f331(f244(a876),x97533),x97534)) % 159.04/158.76 [6809]E(f331(f331(f126(x68091),x68092),x68093),x68094)+~E(x68093,f331(f331(f137(x68091),f331(f195(f877(x68091)),x68092)),x68094))+~E(f331(f331(f175(x68091),f331(f195(f877(x68091)),x68092)),x68094),x68092) % 159.04/158.76 [6864]~P60(x68642)+E(x68641,f2(x68642))+E(f331(f331(f288(x68642),f331(f331(f255(x68642),x68643),x68644)),f331(f331(f255(x68642),x68641),x68644)),f331(f331(f255(x68642),f331(f331(f288(x68642),x68643),x68641)),x68644)) % 159.04/158.76 [7000]~E(f331(f195(f877(x70001)),x70003),f331(f195(f877(x70002)),x70004))+~P104(f331(f136(x70001),x70003))+E(f184(x70001,x70002,f331(f178(x70001,x70002),f331(f331(f182(x70001,x70002),x70003),x70004))),f331(f172(x70001),x70003)) % 159.04/158.76 [7019]~P100(x70191)+~P104(f331(f331(f244(x70191),x70193),x70194))+P104(f331(f331(f244(x70191),f331(f331(f105(x70191),x70192),x70193)),x70194)) % 159.04/158.76 [7020]~P100(x70201)+~P104(f331(f331(f244(x70201),x70202),x70204))+P104(f331(f331(f244(x70201),f331(f331(f105(x70201),x70202),x70203)),x70204)) % 159.04/158.76 [7022]~P107(x70221)+~P104(f331(f331(f244(x70221),x70223),x70224))+P104(f331(f331(f244(x70221),f331(f331(f242(x70221),x70222),x70223)),x70224)) % 159.04/158.76 [7024]~P107(x70241)+~P104(f331(f331(f244(x70241),x70242),x70244))+P104(f331(f331(f244(x70241),f331(f331(f242(x70241),x70242),x70243)),x70244)) % 159.04/158.76 [7025]~P100(x70251)+~P104(f331(f331(f245(x70251),x70253),x70254))+P104(f331(f331(f245(x70251),f331(f331(f105(x70251),x70252),x70253)),x70254)) % 159.04/158.76 [7026]~P100(x70261)+~P104(f331(f331(f245(x70261),x70262),x70264))+P104(f331(f331(f245(x70261),f331(f331(f105(x70261),x70262),x70263)),x70264)) % 159.04/158.76 [7028]~P107(x70281)+~P104(f331(f331(f245(x70281),x70283),x70284))+P104(f331(f331(f245(x70281),f331(f331(f242(x70281),x70282),x70283)),x70284)) % 159.04/158.76 [7030]~P107(x70301)+~P104(f331(f331(f245(x70301),x70302),x70304))+P104(f331(f331(f245(x70301),f331(f331(f242(x70301),x70302),x70303)),x70304)) % 159.04/158.76 [7050]~P104(f331(x70503,x70504))+~P104(f331(x70502,x70504))+P104(f331(f331(f331(f105(f885(x70501,a871)),x70502),x70503),x70504)) % 159.04/158.76 [7174]P20(x71741,x71742,x71743)+~P20(x71741,x71744,x71743)+~P104(f331(f331(f244(f885(f875(x71741),a871)),x71744),x71742)) % 159.04/158.76 [7175]P20(x71751,x71752,x71753)+~P20(x71751,x71752,x71754)+~P104(f331(f331(f244(f885(f875(x71751),a871)),x71753),x71754)) % 159.04/158.76 [7545]~P69(x75451)+E(f331(f331(f80(x75451),f331(x75452,x75453)),f331(f331(f6(a876,x75451),x75452),f331(f300(a876,f331(a116,x75453)),x75454))),f331(f331(f6(a876,x75451),x75452),f331(f300(a876,x75453),x75454)))+~P104(f331(f331(f245(a876),x75453),x75454)) % 159.04/158.76 [7574]~P107(x75741)+P104(f331(f331(f244(x75741),x75742),x75743))+~P104(f331(f331(f244(x75741),f331(f331(f243(x75741),x75744),x75742)),x75743)) % 159.04/158.76 [7576]~P107(x75761)+P104(f331(f331(f244(x75761),x75762),x75763))+~P104(f331(f331(f244(x75761),f331(f331(f243(x75761),x75762),x75764)),x75763)) % 159.04/158.76 [7578]~P99(x75781)+P104(f331(f331(f244(x75781),x75782),x75783))+~P104(f331(f331(f244(x75781),f331(f331(f114(x75781),x75784),x75782)),x75783)) % 159.04/158.76 [7580]~P99(x75801)+P104(f331(f331(f244(x75801),x75802),x75803))+~P104(f331(f331(f244(x75801),f331(f331(f114(x75801),x75802),x75804)),x75803)) % 159.04/158.76 [7581]~P107(x75811)+P104(f331(f331(f245(x75811),x75812),x75813))+~P104(f331(f331(f245(x75811),f331(f331(f243(x75811),x75814),x75812)),x75813)) % 159.04/158.76 [7582]~P107(x75821)+P104(f331(f331(f245(x75821),x75822),x75823))+~P104(f331(f331(f245(x75821),f331(f331(f243(x75821),x75822),x75824)),x75823)) % 159.04/158.76 [7658]~P104(f331(f331(f333(x76581),x76582),x76584))+P104(f331(f331(f333(x76581),x76582),x76583))+P104(f331(f331(f333(x76581),x76582),f331(f331(f22(f885(x76581,a871)),x76584),x76583))) % 159.04/158.76 [7741]P104(f331(x77411,x77412))+P104(f331(x77413,x77412))+~P104(f331(f331(f331(f114(f885(x77414,a871)),x77413),x77411),x77412)) % 159.04/158.76 [7751]~P104(f331(f331(f333(x77511),x77512),x77514))+~P104(f331(f331(f333(x77511),x77512),x77513))+P104(f331(f331(f333(x77511),x77512),f331(f331(f105(f885(x77511,a871)),x77513),x77514))) % 159.04/158.76 [7803]~P99(x78031)+~P104(f331(f62(x78031),x78034))+E(f331(f331(f65(x78031,x78031,f114(x78031)),x78032),f331(f331(f308(x78031),x78033),x78034)),f331(f331(f114(x78031),x78033),f331(f331(f65(x78031,x78031,f114(x78031)),x78032),x78034))) % 159.04/158.76 [7804]~P100(x78041)+~P104(f331(f62(x78041),x78044))+E(f331(f331(f65(x78041,x78041,f105(x78041)),x78042),f331(f331(f308(x78041),x78043),x78044)),f331(f331(f105(x78041),x78043),f331(f331(f65(x78041,x78041,f105(x78041)),x78042),x78044))) % 159.04/158.76 [7805]~P107(x78051)+~P104(f331(f62(x78051),x78054))+E(f331(f331(f65(x78051,x78051,f242(x78051)),x78052),f331(f331(f308(x78051),x78053),x78054)),f331(f331(f242(x78051),x78053),f331(f331(f65(x78051,x78051,f242(x78051)),x78052),x78054))) % 159.04/158.76 [7806]~P107(x78061)+~P104(f331(f62(x78061),x78064))+E(f331(f331(f65(x78061,x78061,f243(x78061)),x78062),f331(f331(f308(x78061),x78063),x78064)),f331(f331(f243(x78061),x78063),f331(f331(f65(x78061,x78061,f243(x78061)),x78062),x78064))) % 159.04/158.76 [7807]~P118(x78071)+~P93(x78071)+E(f331(f331(f22(x78071),f331(f331(f81(x78071),f331(f107(x78071),x78072)),x78073)),f331(f331(f81(x78071),f331(f107(x78071),x78072)),x78074)),f331(f331(f81(x78071),f331(f107(x78071),x78072)),f331(f331(f22(x78071),x78073),x78074))) % 159.04/158.76 [7808]~P139(x78081)+~P93(x78081)+E(f331(f331(f80(x78081),f331(f331(f81(x78081),f331(f107(x78081),x78082)),x78083)),f331(f331(f81(x78081),f331(f107(x78081),x78082)),x78084)),f331(f331(f81(x78081),f331(f107(x78081),x78082)),f331(f331(f80(x78081),x78083),x78084))) % 159.04/158.76 [7921]E(x79211,x79212)+P104(f331(f331(f333(x79213),x79211),f331(f172(x79213),x79214)))+~P104(f331(f331(f333(x79213),x79211),f331(f172(x79213),f331(f331(f150(x79213),x79212),x79214)))) % 159.04/158.76 [7946]~P58(x79461)+~E(f331(f195(f877(x79462)),x79463),f331(f195(f877(x79461)),f56(x79461)))+E(f331(f331(f178(x79461,x79462),f331(f331(f182(x79461,x79462),f56(x79461)),x79463)),x79464),f331(f236(x79462),f650(x79464,x79463,x79462,x79461))) % 159.04/158.76 [8099]P52(x80991,x80992,x80993)+~P52(x80991,x80992,x80994)+~P104(f331(f331(f244(f885(f884(x80991,x80992),a871)),x80993),x80994)) % 159.04/158.76 [8143]P104(f331(f331(f333(x81431),x81432),x81433))+P104(f331(f331(f333(x81431),x81432),x81434))+~P104(f331(f331(f333(x81431),x81432),f331(f331(f114(f885(x81431,a871)),x81434),x81433))) % 159.04/158.76 [8154]~P49(x81541,x81544,x81543)+~P104(f331(f331(f333(x81541),x81542),x81544))+P104(f331(f331(f333(f884(x81541,x81541)),f331(f331(f265(x81541,x81541),x81542),x81542)),x81543)) % 159.04/158.76 [8169]~P104(f331(f62(x81692),x81694))+~P104(f331(f62(x81691),x81693))+P104(f331(f62(f884(x81691,x81692)),f331(f331(f267(x81691,x81692),x81693),f331(f16(f885(x81692,a871),x81691),x81694)))) % 159.04/158.76 [8170]~P104(f331(f331(f333(x81701),x81702),x81704))+~P104(f331(f331(f244(f885(x81701,a871)),x81703),x81704))+P104(f331(f331(f244(f885(x81701,a871)),f331(f331(f308(x81701),x81702),x81703)),x81704)) % 159.04/158.76 [8178]~P68(x81782)+~P143(x81782)+E(f331(f331(f9(x81781,x81782),f331(f331(f8(a876,x81782,x81781),f104(x81782)),x81783)),x81784),f331(f104(x81782),f331(f331(f9(x81781,a876),x81783),x81784))) % 159.04/158.76 [8179]~P68(x81792)+~P138(x81792)+E(f331(f331(f9(x81791,x81792),f331(f331(f8(a1,x81792,x81791),f106(x81792)),x81793)),x81794),f331(f106(x81792),f331(f331(f9(x81791,a1),x81793),x81794))) % 159.04/158.76 [8205]E(f331(f331(f22(f885(x82051,a871)),x82052),f331(f331(f22(f885(x82051,a871)),x82053),x82054)),x82054)+~P104(f331(f331(f244(f885(x82051,a871)),x82052),x82053))+~P104(f331(f331(f244(f885(x82051,a871)),x82054),x82052)) % 159.04/158.76 [8300]~P104(f331(f62(x83001),x83004))+E(f331(f331(f22(a876),f331(f331(f6(x83001,a876),x83002),x83003)),f331(f331(f6(x83001,a876),x83002),x83004)),f331(f331(f6(x83001,a876),x83002),f331(f331(f22(f885(x83001,a871)),x83003),x83004)))+~P104(f331(f331(f244(f885(x83001,a871)),x83004),x83003)) % 159.04/158.76 [8457]~P3(x84571,x84574,x84573)+~P104(f331(f331(f333(x84571),x84572),x84574))+P104(f331(f331(f333(x84571),x84572),f331(f284(x84571,x84571,x84573),f331(f331(f308(x84571),x84572),f194(f885(x84571,a871)))))) % 159.04/158.76 [8520]~P104(f331(f331(f244(f885(x85201,a871)),x85202),x85203))+~P104(f331(f331(f244(f885(x85201,a871)),x85202),x85204))+P104(f331(f331(f244(f885(x85201,a871)),x85202),f331(f331(f105(f885(x85201,a871)),x85203),x85204))) % 159.04/158.76 [8617]E(x86171,f194(f885(x86172,a871)))+P104(f331(f62(x86173),x86174))+~P104(f331(f62(f884(x86173,x86172)),f331(f331(f267(x86173,x86172),x86174),f331(f16(f885(x86172,a871),x86173),x86171)))) % 159.04/158.76 [8618]E(x86181,f194(f885(x86182,a871)))+P104(f331(f62(x86183),x86184))+~P104(f331(f62(f884(x86182,x86183)),f331(f331(f267(x86182,x86183),x86181),f331(f16(f885(x86183,a871),x86182),x86184)))) % 159.04/158.76 [8684]P104(f331(f331(f333(x86841),x86842),f320(x86841,x86843)))+~P104(f331(f331(f333(x86841),x86844),f320(x86841,x86843)))+~P104(f331(f331(f333(f884(x86841,x86841)),f331(f331(f265(x86841,x86841),x86842),x86844)),x86843)) % 159.04/158.76 [8736]~P39(x87361,x87364)+P104(f331(f331(f333(f884(x87361,x87361)),f331(f331(f265(x87361,x87361),x87363),x87362)),f306(x87361,x87364)))+P39(x87361,f331(f331(f308(f884(x87361,x87361)),f331(f331(f265(x87361,x87361),x87362),x87363)),x87364)) % 159.04/158.76 [8737]~P55(x87371,x87374)+P104(f331(f331(f333(f884(x87371,x87371)),f331(f331(f265(x87371,x87371),x87373),x87372)),f306(x87371,x87374)))+P55(x87371,f331(f331(f308(f884(x87371,x87371)),f331(f331(f265(x87371,x87371),x87372),x87373)),x87374)) % 159.04/158.76 [8815]~E(x88152,x88153)+~P104(f331(f331(f333(x88151),x88152),f331(f172(x88151),x88154)))+P104(f331(f331(f333(f884(x88151,x88151)),f331(f331(f265(x88151,x88151),x88152),x88153)),f331(f172(f884(x88151,x88151)),f331(f331(f182(x88151,x88151),x88154),x88154)))) % 159.04/158.76 [8897]~E(x88973,x88974)+P104(f331(f331(f269(x88971,x88971,a871),a328),x88972))+~P104(f331(f331(f333(f884(x88971,x88971)),x88972),f331(f172(f884(x88971,x88971)),f331(f331(f182(x88971,x88971),x88973),x88974)))) % 159.04/158.76 [8923]~P104(f331(x89234,x89232))+P104(f331(f331(f331(f331(a203,x89231),x89232),x89233),f475(x89233,x89232,x89231,x89234)))+~P104(f331(f331(f331(f331(a203,f32(x89234,x89231)),x89232),x89233),x89232)) % 159.04/158.76 [8950]P104(f331(f331(f333(f884(f877(x89501),f877(x89501))),f331(f331(f265(f877(x89501),f877(x89501)),x89502),x89503)),f146(x89501,x89504)))+~E(f331(f331(f175(x89501),f331(f195(f877(x89501)),x89502)),x89503),x89502)+~P104(f331(f331(f245(a876),f331(f195(f877(x89501)),x89502)),f331(f195(f877(x89501)),x89503))) % 159.04/158.76 [9048]~P104(f331(f62(x90481),x90484))+P104(f331(f331(f333(x90481),f485(x90482,x90483,x90484,x90481)),x90484))+P104(f331(f62(x90483),f331(f331(f42(x90481,f885(x90483,a871)),x90484),x90482))) % 159.04/158.76 [9049]~P104(f331(f62(x90491),x90494))+P104(f331(f331(f333(x90491),f499(x90492,x90493,x90494,x90491)),x90494))+P104(f331(f62(x90493),f331(f331(f42(x90491,f885(x90493,a871)),x90494),x90492))) % 159.04/158.76 [9130]P104(f331(f331(f333(f884(x91301,x91301)),x91302),f331(f331(f287(x91301,x91301,x91301),x91303),f306(x91301,x91303))))+~P104(f331(f331(f245(a876),f2(a876)),x91304))+~P104(f331(f331(f333(f884(x91301,x91301)),x91302),f331(f331(f189(f884(x91301,x91301),a871),x91304),x91303))) % 159.04/158.76 [9138]~P39(x91381,x91382)+~P104(f331(f331(f333(f884(x91381,x91381)),f331(f331(f265(x91381,x91381),x91384),x91383)),x91382))+~P104(f331(f331(f333(f884(x91381,x91381)),f331(f331(f265(x91381,x91381),x91383),x91384)),x91382)) % 159.04/158.76 [9266]~P104(f331(f62(x92661),x92664))+E(f331(f331(f6(x92661,a876),f331(f331(f8(f885(x92662,a871),a876,x92661),f38(x92662)),x92663)),x92664),f331(f38(f884(x92661,x92662)),f331(f331(f267(x92661,x92662),x92664),x92663)))+P104(f331(f331(f333(x92661),f595(x92663,x92662,x92664,x92661)),x92664)) % 159.04/158.76 [9270]~P104(f331(f136(x92701),x92702))+P104(f331(f136(x92701),f331(f331(f158(x92701,x92702),x92703),x92704)))+P104(f331(f331(f333(x92701),x92704),f331(f331(f22(f885(x92701,a871)),f331(f172(x92701),x92702)),f331(f331(f308(x92701),f331(f331(f164(x92701),x92702),x92703)),f194(f885(x92701,a871)))))) % 159.04/158.76 [9286]~P104(f331(f62(x92862),x92863))+~P104(f331(f62(x92861),f331(x92864,f485(x92864,x92861,x92863,x92862))))+P104(f331(f62(x92861),f331(f331(f42(x92862,f885(x92861,a871)),x92863),x92864))) % 159.04/158.76 [9287]~P104(f331(f62(x92872),x92873))+~P104(f331(f62(x92871),f331(x92874,f499(x92874,x92871,x92873,x92872))))+P104(f331(f62(x92871),f331(f331(f42(x92872,f885(x92871,a871)),x92873),x92874))) % 159.04/158.76 [9366]~P104(f331(f331(f333(f884(x93661,x93661)),x93662),f331(f331(f287(x93661,x93661,x93661),x93664),f306(x93661,x93664))))+P104(f331(f331(f333(f884(x93661,x93661)),x93662),f331(f331(f287(x93661,x93661,x93661),x93663),f306(x93661,x93663))))+~P104(f331(f331(f244(f885(f884(x93661,x93661),a871)),x93664),x93663)) % 159.04/158.76 [9373]E(f331(f331(f175(x93731),f555(x93734,x93733,x93732,x93731)),x93733),f331(f331(f175(x93731),f555(x93734,x93733,x93732,x93731)),x93732))+~P104(f331(f331(f333(f884(f877(x93731),f877(x93731))),f331(f331(f265(f877(x93731),f877(x93731)),x93732),x93733)),f146(x93731,x93734)))+E(f331(f331(f175(x93731),f331(f195(f877(x93731)),x93732)),x93733),x93732) % 159.04/158.76 [9390]~P104(f331(f62(x93901),x93904))+E(f331(f331(f6(x93901,a876),f331(f331(f8(f885(x93902,a871),a876,x93901),f38(x93902)),x93903)),x93904),f331(f38(f884(x93901,x93902)),f331(f331(f267(x93901,x93902),x93904),x93903)))+~P104(f331(f62(x93902),f331(x93903,f595(x93903,x93902,x93904,x93901)))) % 159.04/158.76 [9394]~E(f331(f195(f877(x93941)),x93943),f331(f195(f877(x93941)),x93942))+P104(f331(f331(f333(f884(f877(x93941),f877(x93941))),f331(f331(f265(f877(x93941),f877(x93941)),x93942),x93943)),f157(x93941,x93944)))+P104(f331(f331(f333(f884(x93941,x93941)),f557(x93944,x93943,x93942,x93941)),f331(f172(f884(x93941,x93941)),f331(f331(f182(x93941,x93941),x93942),x93943)))) % 159.04/158.76 [9471]~P104(f331(f331(f333(f884(f877(x94711),f877(x94711))),f331(f331(f265(f877(x94711),f877(x94711)),x94712),x94713)),f146(x94711,x94714)))+E(f331(f331(f175(x94711),f331(f195(f877(x94711)),x94712)),x94713),x94712)+P104(f331(f331(f245(a876),f555(x94714,x94713,x94712,x94711)),f331(f331(f242(a876),f331(f195(f877(x94711)),x94712)),f331(f195(f877(x94711)),x94713)))) % 159.04/158.76 [9472]E(f331(f178(x94721,x94722),x94723),f331(f178(x94721,x94722),x94724))+~E(f331(f172(x94721),f331(f331(f153(f884(x94721,x94722),x94721),f264(x94721,x94722)),x94723)),f331(f172(x94721),f331(f331(f153(f884(x94721,x94722),x94721),f264(x94721,x94722)),x94724)))+P104(f331(f331(f333(x94721),f704(x94723,x94724,x94722,x94721)),f331(f172(x94721),f331(f331(f153(f884(x94721,x94722),x94721),f264(x94721,x94722)),x94724)))) % 159.04/158.76 [9488]~P104(f331(x94881,x94884))+P104(f331(f331(f331(f331(a203,f32(x94881,x94882)),f475(x94883,x94884,x94882,x94881)),x94883),x94884))+~P104(f331(f331(f331(f331(a203,f32(x94881,x94882)),x94884),x94883),x94884)) % 159.04/158.76 [9493]~P104(f331(f331(f333(f884(f877(x94931),f877(x94931))),f331(f331(f265(f877(x94931),f877(x94931)),x94932),x94933)),f146(x94931,x94934)))+P104(f331(f331(f245(a876),f331(f195(f877(x94931)),x94932)),f331(f195(f877(x94931)),x94933)))+P104(f331(f331(f245(a876),f555(x94934,x94933,x94932,x94931)),f331(f331(f242(a876),f331(f195(f877(x94931)),x94932)),f331(f195(f877(x94931)),x94933)))) % 159.04/158.76 [9790]~P104(f331(f331(f331(x97901,f526(x97901,x97904,x97903,x97902)),f527(x97901,x97904,x97903,x97902)),f528(x97901,x97904,x97903,x97902)))+P104(f331(f331(f331(x97901,x97902),x97903),x97904))+~P104(f331(f319(f884(f885(a1,f880(f877(a327))),f884(a1,a1)),a316),f331(f331(f265(f885(a1,f880(f877(a327))),f884(a1,a1)),x97902),f331(f331(f265(a1,a1),x97903),x97904)))) % 159.04/158.76 [9869]P104(f331(f331(f331(x98691,x98692),x98693),x98694))+P104(f331(f319(f884(f885(a1,f880(f877(a327))),f884(a1,a1)),a316),f331(f331(f265(f885(a1,f880(f877(a327))),f884(a1,a1)),f526(x98691,x98694,x98693,x98692)),f331(f331(f265(a1,a1),f527(x98691,x98694,x98693,x98692)),f528(x98691,x98694,x98693,x98692)))))+~P104(f331(f319(f884(f885(a1,f880(f877(a327))),f884(a1,a1)),a316),f331(f331(f265(f885(a1,f880(f877(a327))),f884(a1,a1)),x98692),f331(f331(f265(a1,a1),x98693),x98694)))) % 159.04/158.76 [9908]~P104(f331(f331(f333(f884(f877(x99081),f877(x99081))),f331(f331(f265(f877(x99081),f877(x99081)),x99082),x99083)),f146(x99081,x99084)))+E(f331(f331(f175(x99081),f331(f195(f877(x99081)),x99082)),x99083),x99082)+P104(f331(f331(f333(f884(x99081,x99081)),f331(f331(f265(x99081,x99081),f331(f331(f164(x99081),x99082),f555(x99084,x99083,x99082,x99081))),f331(f331(f164(x99081),x99083),f555(x99084,x99083,x99082,x99081)))),x99084)) % 159.04/158.76 [9909]~P104(f331(f331(f333(f884(f877(x99091),f877(x99091))),f331(f331(f265(f877(x99091),f877(x99091)),x99092),x99093)),f146(x99091,x99094)))+P104(f331(f331(f245(a876),f331(f195(f877(x99091)),x99092)),f331(f195(f877(x99091)),x99093)))+P104(f331(f331(f333(f884(x99091,x99091)),f331(f331(f265(x99091,x99091),f331(f331(f164(x99091),x99092),f555(x99094,x99093,x99092,x99091))),f331(f331(f164(x99091),x99093),f555(x99094,x99093,x99092,x99091)))),x99094)) % 159.04/158.76 [9966]~E(f331(f195(f877(x99661)),x99662),f331(f195(f877(x99661)),x99663))+P104(f331(f331(f333(f884(f877(x99661),f877(x99661))),f331(f331(f265(f877(x99661),f877(x99661)),x99662),x99663)),f157(x99661,x99664)))+~P104(f331(f331(f333(f884(x99661,x99661)),f331(f331(f265(x99661,x99661),f331(f331(f164(x99661),x99662),f556(x99664,x99663,x99662,x99661))),f331(f331(f164(x99661),x99663),f556(x99664,x99663,x99662,x99661)))),x99664)) % 159.04/158.76 [10102]~P69(x101021)+~P104(f331(f62(x101022),x101024))+E(f331(f165(x101021),f331(f331(f153(x101022,x101021),x101023),f90(f877(x101022),f331(f331(f18(f877(x101022),a871,a871),f331(f331(f8(a871,f885(a871,a871),f877(x101022)),a329),f331(f331(f7(f877(x101022),f885(x101022,a871),a871),f331(f331(f8(f885(x101022,a871),f885(f885(x101022,a871),a871),f877(x101022)),a328),f172(x101022))),x101024))),f136(x101022))))),f235(x101022,x101021,x101023,x101024)) % 159.04/158.76 [7386]~P59(x73862)+E(x73861,f2(x73862))+E(f331(f331(f288(x73862),f331(f331(f80(x73862),x73863),f331(f331(f81(x73862),x73864),x73861))),x73861),f331(f331(f80(x73862),x73864),f331(f331(f288(x73862),x73863),x73861))) % 159.04/158.76 [7387]~P26(x73872)+E(x73871,f2(x73872))+E(f331(f331(f39(x73872),f331(f331(f80(x73872),x73873),f331(f331(f81(x73872),x73874),x73871))),x73871),f331(f331(f80(x73872),x73874),f331(f331(f39(x73872),x73873),x73871))) % 159.04/158.76 [7388]~P26(x73882)+E(x73881,f2(x73882))+E(f331(f331(f39(x73882),f331(f331(f80(x73882),x73883),f331(f331(f81(x73882),x73881),x73884))),x73881),f331(f331(f80(x73882),x73884),f331(f331(f39(x73882),x73883),x73881))) % 159.04/158.76 [7621]~P60(x76212)+E(x76211,f2(x76212))+E(f331(f331(f288(x76212),f331(f331(f22(x76212),x76213),f331(f331(f81(x76212),x76211),x76214))),x76211),f331(f331(f22(x76212),f331(f331(f288(x76212),x76213),x76211)),x76214)) % 159.04/158.76 [7622]~P59(x76222)+E(x76221,f2(x76222))+E(f331(f331(f288(x76222),f331(f331(f80(x76222),x76223),f331(f331(f81(x76222),x76224),x76221))),x76221),f331(f331(f80(x76222),f331(f331(f288(x76222),x76223),x76221)),x76224)) % 159.04/158.76 [7623]~P60(x76232)+E(x76231,f2(x76232))+E(f331(f331(f288(x76232),f331(f331(f80(x76232),x76233),f331(f331(f81(x76232),x76231),x76234))),x76231),f331(f331(f80(x76232),f331(f331(f288(x76232),x76233),x76231)),x76234)) % 159.04/158.76 [8328]~P104(f331(f159(x83281,x83283),x83284))+~P104(f331(f159(x83281,x83282),x83284))+P104(f331(f159(x83281,f331(f331(f105(f885(x83281,a871)),x83282),x83283)),x83284)) % 159.04/158.76 [8698]~E(f331(f331(f287(x86981,x86981,x86981),x86982),x86984),f194(f885(f884(x86981,x86981),a871)))+~E(f331(f331(f287(x86981,x86981,x86981),x86982),x86983),f194(f885(f884(x86981,x86981),a871)))+E(f331(f331(f287(x86981,x86981,x86981),x86982),f331(f331(f114(f885(f884(x86981,x86981),a871)),x86983),x86984)),f194(f885(f884(x86981,x86981),a871))) % 159.04/158.76 [8816]~P104(f331(f331(f244(f885(x88161,a871)),x88163),x88164))+~P104(f331(f331(f244(f885(x88161,a871)),x88162),x88164))+P104(f331(f331(f244(f885(x88161,a871)),f331(f331(f114(f885(x88161,a871)),x88162),x88163)),x88164)) % 159.04/158.76 [9194]~P104(f331(f62(x91941),x91944))+~P104(f331(f62(x91941),x91943))+E(f331(f331(f22(a876),f331(f331(f80(a876),f331(f331(f6(x91941,a876),x91942),x91943)),f331(f331(f6(x91941,a876),x91942),x91944))),f331(f331(f6(x91941,a876),x91942),f331(f331(f105(f885(x91941,a871)),x91943),x91944))),f331(f331(f6(x91941,a876),x91942),f331(f331(f114(f885(x91941,a871)),x91943),x91944))) % 159.04/158.76 [9283]~P104(f331(f331(f333(x92831),x92833),x92832))+~P104(f331(f331(f244(f885(x92831,a871)),x92832),f331(f331(f308(x92831),x92833),x92834)))+P104(f331(f331(f244(f885(x92831,a871)),f331(f331(f22(f885(x92831,a871)),x92832),f331(f331(f308(x92831),x92833),f194(f885(x92831,a871))))),x92834)) % 159.04/158.76 [9443]~P104(f331(f331(f333(x94431),x94433),x94432))+P104(f331(f331(f244(f885(x94431,a871)),x94432),f331(f331(f308(x94431),x94433),x94434)))+~P104(f331(f331(f244(f885(x94431,a871)),f331(f331(f22(f885(x94431,a871)),x94432),f331(f331(f308(x94431),x94433),f194(f885(x94431,a871))))),x94434)) % 159.04/158.76 [9533]~P104(f331(f331(f244(a876),x95331),x95333))+~P104(f331(f331(f245(a876),x95332),x95334))+P104(f331(f331(f333(f884(f884(a876,a876),f884(a876,a876))),f331(f331(f265(f884(a876,a876),f884(a876,a876)),f331(f331(f265(a876,a876),x95331),x95332)),f331(f331(f265(a876,a876),x95333),x95334))),a35)) % 159.04/158.76 [9534]~P104(f331(f331(f244(a876),x95342),x95344))+~P104(f331(f331(f244(a876),x95341),x95343))+P104(f331(f331(f333(f884(f884(a876,a876),f884(a876,a876))),f331(f331(f265(f884(a876,a876),f884(a876,a876)),f331(f331(f265(a876,a876),x95341),x95342)),f331(f331(f265(a876,a876),x95343),x95344))),a70)) % 159.04/158.76 [9829]~P104(f331(f331(f333(f877(x98291)),x98294),f160(x98291,x98293)))+~P104(f331(f331(f333(f877(x98291)),x98294),f160(x98291,x98292)))+P104(f331(f159(x98291,f331(f331(f105(f885(x98291,a871)),f331(f331(f7(x98291,f885(x98291,a871),a871),f333(x98291)),x98292)),f331(f331(f7(x98291,f885(x98291,a871),a871),f333(x98291)),x98293))),x98294)) % 159.04/158.76 [9931]~P21(x99311,f885(f885(x99311,a871),a871),f331(f331(f7(x99311,f885(f884(x99311,x99311),a871),f885(f885(x99311,a871),a871)),f331(f331(f8(f885(x99311,a871),f885(f885(f884(x99311,x99311),a871),f885(f885(x99311,a871),a871)),x99311),f61(x99311)),f331(f331(f7(x99311,f885(x99311,a871),f885(x99311,a871)),f308(x99311)),f194(f885(x99311,a871))))),x99313),x99312)+~P104(f331(f331(f333(x99311),x99314),x99312))+E(f331(f331(f22(f885(f885(x99311,a871),a871)),f331(f331(f61(x99311),x99312),x99313)),f331(f331(f61(x99311),f331(f331(f308(x99311),x99314),f194(f885(x99311,a871)))),x99313)),f331(f331(f61(x99311),f331(f331(f22(f885(x99311,a871)),x99312),f331(f331(f308(x99311),x99314),f194(f885(x99311,a871))))),x99313)) % 159.04/158.76 [10066]~P49(x100661,x100662,x100664)+~P104(f331(f331(f333(f884(x100661,x100661)),x100663),x100664))+P104(f331(f331(f269(x100661,x100661,a871),f331(f331(f7(x100661,f885(x100661,a871),f885(x100661,a871)),f331(f331(f8(f885(a871,a871),f885(f885(x100661,a871),f885(x100661,a871)),x100661),f8(a871,a871,x100661)),f331(f331(f8(a871,f885(a871,a871),x100661),a329),f331(f331(f7(x100661,f885(x100661,a871),a871),f333(x100661)),x100662)))),f331(f331(f7(x100661,f885(x100661,a871),a871),f333(x100661)),x100662))),x100663)) % 159.04/158.76 [10078]P104(f331(f62(x100781),x100782))+~P104(f331(f62(x100783),f331(f309(x100781,x100783,x100784),x100782)))+~P104(f331(f62(x100781),f331(f250(x100781),f331(f331(f18(x100781,a871,a871),f331(f331(f8(a871,f885(a871,a871),x100781),a329),f331(f331(f7(x100781,f885(x100781,a871),a871),f333(x100781)),x100782))),f331(f331(f7(x100781,x100783,a871),f331(f331(f8(x100783,f885(x100783,a871),x100781),a328),x100784)),f331(x100784,f482(x100784,x100783,x100782,x100781))))))) % 159.04/158.76 [8081]~P60(x80812)+E(x80811,f2(x80812))+E(f331(f331(f288(x80812),f331(f331(f22(x80812),f331(f331(f81(x80812),x80811),x80813)),x80814)),x80811),f331(f331(f22(x80812),x80813),f331(f331(f288(x80812),x80814),x80811))) % 159.04/158.76 [8082]~P60(x80822)+E(x80821,f2(x80822))+E(f331(f331(f288(x80822),f331(f331(f80(x80822),f331(f331(f81(x80822),x80821),x80823)),x80824)),x80821),f331(f331(f80(x80822),x80823),f331(f331(f288(x80822),x80824),x80821))) % 159.04/158.76 [8980]~E(f331(f331(f287(x89801,x89801,x89801),x89803),x89804),f194(f885(f884(x89801,x89801),a871)))+~E(f331(f331(f287(x89801,x89801,x89801),x89802),x89804),f194(f885(f884(x89801,x89801),a871)))+E(f331(f331(f287(x89801,x89801,x89801),f331(f331(f114(f885(f884(x89801,x89801),a871)),x89802),x89803)),x89804),f194(f885(f884(x89801,x89801),a871))) % 159.04/158.76 [10008]~P144(x100081)+~P144(x100082)+E(f331(f331(f315(x100081),f331(f331(f7(x100081,a103,f880(f877(a327))),f331(f331(f8(f885(x100082,f880(f877(a327))),f885(a103,f880(f877(a327))),x100081),f315(x100082)),f331(f331(f8(f885(x100082,f884(x100081,x100082)),f885(x100082,f880(f877(a327))),x100081),f331(f8(f884(x100081,x100082),f880(f877(a327)),x100082),x100083)),f265(x100081,x100082)))),x100084)),x100084),f331(f331(f315(f884(x100081,x100082)),x100083),x100084)) % 159.04/158.76 [9738]~P104(f331(f159(x97381,x97383),x97384))+~P104(f331(f159(x97381,x97382),x97384))+P104(f331(f159(x97381,f331(f331(f18(x97381,a871,a871),f331(f331(f8(a871,f885(a871,a871),x97381),a329),x97382)),x97383)),x97384)) % 159.04/158.76 [10000]P104(f331(x100001,f351(x100002,x100003,x100001,x100004)))+~P104(f331(f62(x100004),f331(f250(x100004),x100001)))+P104(f331(f62(x100003),f331(f250(x100003),f331(f331(f8(f885(x100004,a871),a871,x100003),f87(x100004)),f331(f331(f8(f885(x100004,a871),f885(x100004,a871),x100003),f331(f18(x100004,a871,a871),f331(f331(f8(a871,f885(a871,a871),x100004),a329),x100001))),x100002))))) % 159.04/158.76 [10021]~P104(f331(f62(x100212),f331(f250(x100212),x100213)))+~P104(f331(f62(x100211),f331(f250(x100211),f331(f331(f7(x100211,x100212,a871),x100214),f351(x100214,x100211,x100213,x100212)))))+P104(f331(f62(x100211),f331(f250(x100211),f331(f331(f8(f885(x100212,a871),a871,x100211),f87(x100212)),f331(f331(f8(f885(x100212,a871),f885(x100212,a871),x100211),f331(f18(x100212,a871,a871),f331(f331(f8(a871,f885(a871,a871),x100212),a329),x100213))),x100214))))) % 159.04/158.76 [6526]E(x65261,x65262)+~E(f331(x65263,x65261),f331(x65263,x65262))+~P21(x65264,x65265,x65263,f253(f885(x65264,a871))) % 159.04/158.76 [6687]~E(f331(x66873,x66875),f197(x66872))+~E(f331(x66874,x66875),f197(x66872))+E(f331(f185(x66871,x66872,x66873,x66874),x66875),f197(x66872)) % 159.04/158.76 [7421]E(x74211,x74212)+~P21(x74213,x74214,x74215,f253(f885(x74213,a871)))+~E(f331(f309(x74213,x74214,x74215),x74211),f331(f309(x74213,x74214,x74215),x74212)) % 159.04/158.76 [7675]P21(x76752,x76753,f823(x76754,x76753,x76752,x76751),x76751)+~E(f331(f309(x76753,x76752,x76755),x76754),x76751)+E(x76751,f194(f885(x76752,a871))) % 159.04/158.76 [8216]~P104(f331(f331(x82163,x82162),x82165))+~P104(f331(f331(x82163,x82164),x82162))+P104(f331(f331(f333(x82161),x82162),f294(x82161,x82163,x82164,x82165))) % 159.04/158.76 [8217]~P104(f331(f331(x82173,x82172),x82175))+~P104(f331(f331(x82173,x82174),x82172))+P104(f331(f331(f333(x82171),x82172),f297(x82171,x82173,x82174,x82175))) % 159.04/158.76 [8773]~P21(x87731,x87733,x87735,f253(f885(x87731,a871)))+~P21(x87733,x87732,x87734,f253(f885(x87733,a871)))+P21(x87731,x87732,f331(f73(x87733,x87732,x87731,x87734),x87735),f253(f885(x87731,a871))) % 159.04/158.76 [9342]P104(f331(f331(f333(f884(x93421,x93421)),f331(f331(f265(x93421,x93421),x93422),x93423)),f306(x93421,x93424)))+~P104(f331(f331(f333(f884(x93421,x93421)),f331(f331(f265(x93421,x93421),x93422),x93425)),f306(x93421,x93424)))+~P104(f331(f331(f333(f884(x93421,x93421)),f331(f331(f265(x93421,x93421),x93425),x93423)),f306(x93421,x93424))) % 159.04/158.76 [9380]~P107(x93802)+~P104(f331(f136(x93801),x93805))+P104(f331(f136(x93801),f148(x93801,x93802,x93803,x93804,x93805))) % 159.04/158.76 [5359]~E(x53592,f117(x53591))+E(f331(f331(f126(x53591),x53592),x53593),f331(f331(f150(x53591),x53594),x53595))+~E(x53593,f331(f331(f150(x53591),x53594),x53595)) % 159.04/158.76 [5360]~E(x53602,f117(x53601))+E(f331(f331(f126(x53601),x53602),x53603),f331(f331(f150(x53601),x53604),x53605))+~E(f331(f331(f150(x53601),x53604),x53605),x53603) % 159.04/158.76 [6483]~E(f331(f195(f877(x64831)),x64835),f331(f195(f877(x64832)),x64834))+E(f331(f331(f153(f884(x64831,x64832),x64832),f268(x64831,x64832)),x64833),x64834)+~E(f331(f331(f182(x64831,x64832),x64835),x64834),x64833) % 159.04/158.76 [6484]~E(f331(f195(f877(x64841)),x64844),f331(f195(f877(x64842)),x64845))+E(f331(f331(f153(f884(x64841,x64842),x64841),f264(x64841,x64842)),x64843),x64844)+~E(f331(f331(f182(x64841,x64842),x64844),x64845),x64843) % 159.04/158.76 [6959]~P107(x69591)+~P30(x69591,f331(f331(f153(x69592,x69591),x69593),x69595))+P30(x69591,f331(f331(f153(x69592,x69591),x69593),f331(f135(x69592,x69594),x69595))) % 159.04/158.76 [7006]~P104(f331(x70063,x70065))+~P104(f331(f331(x70062,x70064),x70065))+P104(f331(f331(f95(x70061,x70062,x70063),x70064),x70065)) % 159.04/158.76 [7103]~P107(x71031)+P30(x71031,f331(f331(f153(x71032,x71031),x71033),f170(x71032,x71034,x71035)))+~P30(x71031,f331(f331(f153(x71032,x71031),x71033),x71035)) % 159.04/158.76 [7126]~P52(x71263,x71262,x71265)+~P52(x71261,x71263,x71264)+P52(x71261,x71262,f331(f331(f287(x71261,x71263,x71262),x71264),x71265)) % 159.04/158.76 [7218]E(x72181,x72182)+~P21(x72183,x72184,x72185,f253(f885(x72183,a871)))+~E(f331(f331(f153(x72183,x72184),x72185),x72181),f331(f331(f153(x72183,x72184),x72185),x72182)) % 159.04/158.76 [7372]~P104(f331(f331(f244(a876),x73721),f331(x73723,x73725)))+P104(f331(f331(f244(a876),x73721),f154(x73722,x73723,x73724)))+~P104(f331(f331(f333(x73722),x73725),f331(f172(x73722),x73724))) % 159.04/158.76 [7373]~P104(f331(f331(f245(a876),x73731),f331(x73733,x73735)))+P104(f331(f331(f245(a876),x73731),f154(x73732,x73733,x73734)))+~P104(f331(f331(f333(x73732),x73735),f331(f172(x73732),x73734))) % 159.04/158.76 [7778]~P108(x77781)+P104(f331(f331(f244(f885(x77781,a871)),f301(x77781,x77782,x77783)),f301(x77781,x77784,x77785)))+P104(f331(f331(f244(x77781),x77782),x77783)) % 159.04/158.76 [7801]~P28(x78011)+P104(f331(f331(f244(x78011),f331(f331(f43(x78012,x78011),x78013),x78014)),f331(x78014,x78015)))+~P104(f331(f331(f333(x78012),x78015),x78013)) % 159.04/158.76 [7867]~P21(x78671,x78672,x78674,x78673)+E(f331(f77(x78671,x78672,x78673,x78674),f331(x78674,x78675)),x78675)+~P104(f331(f331(f333(x78671),x78675),x78673)) % 159.04/158.76 [8069]~P104(f331(x80691,x80695))+P104(f331(x80691,f504(x80691,x80692,x80693,x80694)))+~P104(f331(f331(f333(x80694),x80695),x80693)) % 159.04/158.76 [8070]~P104(f331(x80701,x80705))+P104(f331(x80701,f504(x80701,x80702,x80703,x80704)))+~P104(f331(f331(f333(x80704),x80705),x80702)) % 159.04/158.76 [8167]P104(f331(f62(x81671),x81672))+~P104(f331(f62(x81673),x81674))+~P104(f331(f331(f244(f885(x81671,a871)),x81672),f331(f309(x81673,x81671,x81675),x81674))) % 159.04/158.76 [8332]E(x83321,x83322)+~P21(x83323,x83324,x83325,f331(f331(f114(f885(x83323,a871)),f331(f172(x83323),x83321)),f331(f172(x83323),x83322)))+~E(f331(f331(f153(x83323,x83324),x83325),x83321),f331(f331(f153(x83323,x83324),x83325),x83322)) % 159.04/158.76 [8386]~P108(x83861)+~P104(f331(f331(f245(f885(x83861,a871)),f301(x83861,x83864,x83865)),f301(x83861,x83862,x83863)))+P104(f331(f331(f244(x83861),x83862),x83863)) % 159.04/158.76 [8455]~P21(x84551,x84554,x84555,f253(f885(x84551,a871)))+~P104(f331(f331(f333(x84554),f331(x84555,x84552)),f331(f309(x84551,x84554,x84555),x84553)))+P104(f331(f331(f333(x84551),x84552),x84553)) % 159.04/158.76 [8533]P104(f331(x85331,x85332))+~P104(f331(x85331,f513(x85331,x85333,x85334,x85335)))+~P104(f331(f331(f333(x85335),x85332),x85334)) % 159.04/158.76 [8534]P104(f331(x85341,x85342))+~P104(f331(x85341,f513(x85341,x85343,x85344,x85345)))+~P104(f331(f331(f333(x85345),x85342),x85343)) % 159.04/158.76 [8813]~P21(x88132,x88133,x88131,x88134)+E(f331(x88131,f331(f77(x88132,x88133,x88134,x88131),x88135)),x88135)+~P104(f331(f331(f333(x88133),x88135),f331(f309(x88132,x88133,x88131),x88134))) % 159.04/158.76 [8918]E(x89181,f117(x89182))+E(f331(f331(f150(x89182),x89183),f598(x89184,x89183,x89185,x89181,x89182)),x89181)+~E(f331(f331(f126(x89182),x89181),x89185),f331(f331(f150(x89182),x89183),x89184)) % 159.04/158.76 [8919]E(x89191,f117(x89192))+E(f331(f331(f150(x89192),x89193),f599(x89194,x89191,x89195,x89193,x89192)),x89191)+~E(f331(f331(f126(x89192),x89191),x89194),f331(f331(f150(x89192),x89193),x89195)) % 159.04/158.76 [8936]E(f331(f331(f150(x89362),x89363),f598(x89364,x89363,x89361,x89365,x89362)),x89365)+~E(f331(f331(f126(x89362),x89365),x89361),f331(f331(f150(x89362),x89363),x89364))+E(x89361,f331(f331(f150(x89362),x89363),x89364)) % 159.04/158.76 [8937]E(f331(f331(f150(x89371),x89372),f599(x89374,x89375,x89373,x89372,x89371)),x89375)+~E(f331(f331(f126(x89371),x89375),x89374),f331(f331(f150(x89371),x89372),x89373))+E(f331(f331(f150(x89371),x89372),x89373),x89374) % 159.04/158.76 [9018]~E(f331(f309(x90183,x90182,x90184),f253(f885(x90183,a871))),f253(f885(x90182,a871)))+~E(f331(f309(x90181,x90183,x90185),f253(f885(x90181,a871))),f253(f885(x90183,a871)))+E(f331(f309(x90181,x90182,f331(f73(x90183,x90182,x90181,x90184),x90185)),f253(f885(x90181,a871))),f253(f885(x90182,a871))) % 159.04/158.76 [9387]E(x93871,f117(x93872))+~E(f331(f331(f126(x93872),x93871),x93873),f331(f331(f150(x93872),x93875),x93874))+E(f331(f331(f126(x93872),f599(x93873,x93871,x93874,x93875,x93872)),x93873),x93874) % 159.04/158.76 [9388]E(x93881,f117(x93882))+~E(f331(f331(f126(x93882),x93881),x93885),f331(f331(f150(x93882),x93884),x93883))+E(f331(f331(f126(x93882),f598(x93883,x93884,x93885,x93881,x93882)),x93885),x93883) % 159.04/158.76 [9395]E(f331(f331(f126(x93952),f598(x93954,x93953,x93951,x93955,x93952)),x93951),x93954)+~E(f331(f331(f126(x93952),x93955),x93951),f331(f331(f150(x93952),x93953),x93954))+E(x93951,f331(f331(f150(x93952),x93953),x93954)) % 159.04/158.76 [9396]~E(f331(f331(f126(x93961),x93965),x93964),f331(f331(f150(x93961),x93962),x93963))+E(f331(f331(f126(x93961),f599(x93964,x93965,x93963,x93962,x93961)),x93964),x93963)+E(f331(f331(f150(x93961),x93962),x93963),x93964) % 159.04/158.76 [9397]E(f331(f331(f126(x93971),x93975),f602(x93973,x93972,x93974,x93975,x93971)),x93972)+E(f331(f331(f126(x93971),x93972),f601(x93973,x93972,x93974,x93975,x93971)),x93975)+~E(f331(f331(f126(x93971),x93975),x93974),f331(f331(f126(x93971),x93972),x93973)) % 159.04/158.76 [9429]~P107(x94291)+P30(x94291,f331(f331(f153(x94292,x94291),x94293),f148(x94292,x94291,x94293,x94294,x94295)))+~P30(x94291,f331(f331(f153(x94292,x94291),x94293),x94295)) % 159.04/158.76 [9440]~P56(x94405,x94401,x94404,x94403)+P104(f331(f331(x94401,x94402),f683(x94403,x94404,x94401,x94405,x94402)))+~P104(f331(f331(f333(x94405),x94402),x94404)) % 159.04/158.76 [9545]~P104(f331(f331(f333(f884(x95451,x95451)),f331(f331(f265(x95451,x95451),x95455),x95453)),f306(x95451,x95454)))+P104(f331(f331(f333(f884(x95451,x95451)),f331(f331(f265(x95451,x95451),x95452),x95453)),f331(f331(f287(x95451,x95451,x95451),x95454),f306(x95451,x95454))))+~P104(f331(f331(f333(f884(x95451,x95451)),f331(f331(f265(x95451,x95451),x95452),x95455)),f331(f331(f287(x95451,x95451,x95451),x95454),f306(x95451,x95454)))) % 159.04/158.76 [9546]~P104(f331(f331(f333(f884(x95461,x95461)),f331(f331(f265(x95461,x95461),x95462),x95465)),f306(x95461,x95464)))+P104(f331(f331(f333(f884(x95461,x95461)),f331(f331(f265(x95461,x95461),x95462),x95463)),f331(f331(f287(x95461,x95461,x95461),x95464),f306(x95461,x95464))))+~P104(f331(f331(f333(f884(x95461,x95461)),f331(f331(f265(x95461,x95461),x95465),x95463)),f331(f331(f287(x95461,x95461,x95461),x95464),f306(x95461,x95464)))) % 159.04/158.76 [9549]P104(f331(f331(f333(f884(f877(x95491),f877(x95491))),f331(f331(f265(f877(x95491),f877(x95491)),x95492),x95493)),f157(x95491,f306(x95491,x95494))))+~P104(f331(f331(f333(f884(f877(x95491),f877(x95491))),f331(f331(f265(f877(x95491),f877(x95491)),x95492),x95495)),f157(x95491,f306(x95491,x95494))))+~P104(f331(f331(f333(f884(f877(x95491),f877(x95491))),f331(f331(f265(f877(x95491),f877(x95491)),x95495),x95493)),f157(x95491,f306(x95491,x95494)))) % 159.04/158.76 [9553]E(f331(f331(f126(x95531),x95532),f601(x95533,x95532,x95534,x95535,x95531)),x95535)+E(f331(f331(f126(x95531),f602(x95533,x95532,x95534,x95535,x95531)),x95533),x95534)+~E(f331(f331(f126(x95531),x95532),x95533),f331(f331(f126(x95531),x95535),x95534)) % 159.04/158.76 [9554]E(f331(f331(f126(x95541),x95542),f602(x95543,x95544,x95545,x95542,x95541)),x95544)+E(f331(f331(f126(x95541),f601(x95543,x95544,x95545,x95542,x95541)),x95545),x95543)+~E(f331(f331(f126(x95541),x95542),x95545),f331(f331(f126(x95541),x95544),x95543)) % 159.04/158.76 [9608]P104(f331(f331(f333(f884(x96081,x96081)),f331(f331(f265(x96081,x96081),x96082),x96083)),f331(f331(f287(x96081,x96081,x96081),x96084),f306(x96081,x96084))))+~P104(f331(f331(f333(f884(x96081,x96081)),f331(f331(f265(x96081,x96081),x96082),x96085)),f331(f331(f287(x96081,x96081,x96081),x96084),f306(x96081,x96084))))+~P104(f331(f331(f333(f884(x96081,x96081)),f331(f331(f265(x96081,x96081),x96085),x96083)),f331(f331(f287(x96081,x96081,x96081),x96084),f306(x96081,x96084)))) % 159.04/158.76 [9635]P36(x96351,x96352,x96353,x96354,x96355)+~E(f331(f195(f877(x96351)),x96354),f331(f195(f877(x96352)),x96355))+~P104(f331(f331(f269(x96351,x96352,a871),x96353),f663(x96355,x96354,x96353,x96352,x96351))) % 159.04/158.76 [9636]P36(x96361,x96362,x96363,x96364,x96365)+~E(f331(f195(f877(x96361)),x96364),f331(f195(f877(x96362)),x96365))+~P104(f331(f331(f269(x96361,x96362,a871),x96363),f674(x96363,x96365,x96364,x96362,x96361))) % 159.04/158.76 [9641]E(f331(f331(f126(x96411),f601(x96412,x96413,x96414,x96415,x96411)),x96414),x96412)+~E(f331(f331(f126(x96411),x96413),x96412),f331(f331(f126(x96411),x96415),x96414))+E(f331(f331(f126(x96411),f602(x96412,x96413,x96414,x96415,x96411)),x96412),x96414) % 159.04/158.76 [9656]~P107(x96562)+E(f331(f331(f147(x96561,x96562,x96563),x96564),x96565),f331(f331(f150(x96561),x96564),x96565))+P104(f331(f331(f333(x96561),f719(x96564,x96563,x96565,x96561,x96562)),f331(f172(x96561),x96565))) % 159.04/158.76 [9661]~P56(x96611,x96614,x96613,x96612)+~P104(f331(f331(f333(x96611),x96615),x96613))+P104(f331(f331(f333(x96611),f683(x96612,x96613,x96614,x96611,x96615)),x96612)) % 159.04/158.76 [9781]~P104(f331(f331(f333(f884(f885(x97811,a871),f885(x97811,a871))),f331(f331(f265(f885(x97811,a871),f885(x97811,a871)),x97814),x97813)),f323(x97811,x97812)))+~P104(f331(f331(f333(x97811),x97815),x97814))+P104(f331(f331(f333(x97811),f739(x97812,x97813,x97814,x97811,x97815)),x97813)) % 159.04/158.76 [9793]~P107(x97932)+E(f331(f331(f147(x97931,x97932,x97933),x97934),x97935),f331(f331(f150(x97931),x97934),x97935))+~P104(f331(f331(f244(x97932),f331(x97933,x97934)),f331(x97933,f719(x97934,x97933,x97935,x97931,x97932)))) % 159.04/158.76 [9983]P36(x99831,x99832,x99833,x99834,x99835)+~E(f331(f195(f877(x99831)),x99834),f331(f195(f877(x99832)),x99835))+~P104(f331(f331(x99833,f331(f331(f164(x99831),x99834),f675(x99835,x99834,x99833,x99832,x99831))),f331(f331(f164(x99832),x99835),f675(x99835,x99834,x99833,x99832,x99831)))) % 159.04/158.76 [9984]P36(x99841,x99842,x99843,x99844,x99845)+~E(f331(f195(f877(x99841)),x99844),f331(f195(f877(x99842)),x99845))+~P104(f331(f331(x99843,f331(f331(f164(x99841),x99844),f713(x99843,x99845,x99842,x99844,x99841))),f331(f331(f164(x99842),x99845),f713(x99843,x99845,x99842,x99844,x99841)))) % 159.04/158.76 [6554]~P13(x65542,x65545,x65541)+~P104(f331(f62(x65542),x65544))+E(f331(x65541,f331(f331(f308(x65542),x65543),x65544)),f331(f331(f65(x65542,x65542,x65545),x65543),x65544)) % 159.04/158.76 [6555]~E(x65553,x65554)+~E(x65552,x65555)+E(f331(f331(f308(x65551),x65552),f331(f331(f308(x65551),x65553),f194(f885(x65551,a871)))),f331(f331(f308(x65551),x65554),f331(f331(f308(x65551),x65555),f194(f885(x65551,a871))))) % 159.04/158.76 [6566]P104(f331(x65662,x65665))+E(f177(x65661,x65662,f331(f331(f126(x65661),x65663),x65664)),f177(x65661,x65662,x65663))+~P104(f331(f331(f333(x65661),x65665),f331(f172(x65661),x65663))) % 159.04/158.76 [6603]E(f331(x66031,x66032),f194(f885(x66033,a871)))+~E(f331(f331(f42(x66034,f885(x66033,a871)),x66035),x66031),f194(f885(x66033,a871)))+~P104(f331(f331(f333(x66034),x66032),x66035)) % 159.04/158.76 [6604]E(f331(x66041,x66042),f253(f885(x66043,a871)))+~E(f331(f331(f43(x66044,f885(x66043,a871)),x66045),x66041),f253(f885(x66043,a871)))+~P104(f331(f331(f333(x66044),x66042),x66045)) % 159.04/158.76 [6908]~P104(f331(f331(f201(x69081),x69083),x69085))+~P104(f331(f331(f201(x69082),x69085),x69084))+P104(f331(f331(f201(f33(x69081,x69082)),x69083),x69084)) % 159.04/158.76 [7113]~E(x71132,x71134)+~P141(x71131)+E(f331(f331(f80(x71131),f331(f331(f81(x71131),x71132),x71133)),f331(f331(f81(x71131),x71134),x71135)),f331(f331(f80(x71131),f331(f331(f81(x71131),x71132),x71135)),f331(f331(f81(x71131),x71134),x71133))) % 159.04/158.76 [7173]~P28(x71731)+~P104(f331(f331(f333(x71734),x71733),x71735))+P104(f331(f331(f244(x71731),f331(x71732,x71733)),f331(f331(f42(x71734,x71731),x71735),x71732))) % 159.04/158.76 [7223]~P106(x72231)+P104(f331(f331(f244(x72231),f331(x72232,x72233)),f331(x72234,x72233)))+~P104(f331(f331(f244(f885(x72235,x72231)),x72232),x72234)) % 159.04/158.76 [7340]E(x73401,x73402)+E(x73403,x73401)+~E(f331(f331(f308(x73404),x73401),f331(f331(f308(x73404),x73405),f194(f885(x73404,a871)))),f331(f331(f308(x73404),x73402),f331(f331(f308(x73404),x73403),f194(f885(x73404,a871))))) % 159.04/158.76 [7341]E(x73411,x73412)+E(x73413,x73411)+~E(f331(f331(f308(x73414),x73413),f331(f331(f308(x73414),x73412),f194(f885(x73414,a871)))),f331(f331(f308(x73414),x73415),f331(f331(f308(x73414),x73411),f194(f885(x73414,a871))))) % 159.04/158.76 [7342]E(x73421,x73422)+E(x73421,x73423)+~E(f331(f331(f308(x73424),x73423),f331(f331(f308(x73424),x73422),f194(f885(x73424,a871)))),f331(f331(f308(x73424),x73425),f331(f331(f308(x73424),x73421),f194(f885(x73424,a871))))) % 159.04/158.76 [7343]E(x73431,x73432)+E(x73431,x73433)+~E(f331(f331(f308(x73434),x73431),f331(f331(f308(x73434),x73435),f194(f885(x73434,a871)))),f331(f331(f308(x73434),x73432),f331(f331(f308(x73434),x73433),f194(f885(x73434,a871))))) % 159.04/158.76 [7877]P21(x78771,x78772,x78773,x78774)+~P21(x78771,x78772,x78773,x78775)+~P104(f331(f331(f244(f885(x78771,a871)),x78774),x78775)) % 159.04/158.76 [7884]~P104(f331(f331(f244(a876),x78845),x78843))+~P104(f331(f331(f331(f331(a203,x78841),x78842),x78845),x78844))+P104(f331(f331(f331(f331(a203,x78841),x78842),x78843),x78844)) % 159.04/158.76 [7980]P104(f331(x79801,x79802))+~P104(f331(f331(f201(x79804),x79802),x79805))+P104(f331(f331(f201(f30(x79801,x79803,x79804)),x79802),x79805)) % 159.04/158.76 [8008]~P104(f331(x80081,x80084))+~P104(f331(f331(f201(x80082),x80084),x80085))+P104(f331(f331(f201(f30(x80081,x80082,x80083)),x80084),x80085)) % 159.04/158.76 [8059]E(x80591,x80592)+~E(f331(f309(x80593,x80594,x80595),x80591),f331(f309(x80593,x80594,x80595),x80592))+~P21(x80593,x80594,x80595,f331(f331(f114(f885(x80593,a871)),x80591),x80592)) % 159.04/158.76 [8133]P104(f331(x81332,x81334))+E(f331(f331(f137(x81331),f331(f195(f877(x81331)),f177(x81331,x81332,x81333))),x81333),f331(f331(f150(x81331),x81334),x81335))+~E(f331(f331(f126(x81331),f177(x81331,x81332,x81333)),f331(f331(f150(x81331),x81334),x81335)),x81333) % 159.04/158.76 [8164]~P21(x81641,x81642,x81643,x81645)+~P21(x81641,x81642,x81643,x81644)+P21(x81641,x81642,x81643,f331(f331(f105(f885(x81641,a871)),x81644),x81645)) % 159.04/158.76 [8273]~P69(x82731)+E(f331(f331(f80(x82731),f331(x82732,x82733)),f331(f165(x82731),f331(f331(f153(x82734,x82731),x82732),f170(x82734,x82733,x82735)))),f331(f165(x82731),f331(f331(f153(x82734,x82731),x82732),x82735)))+~P104(f331(f331(f333(x82734),x82733),f331(f172(x82734),x82735))) % 159.04/158.76 [8362]~P107(x83621)+~P30(x83621,f331(f331(f153(x83622,x83621),x83623),x83625))+P30(x83621,f331(f331(f153(x83622,x83621),x83623),f331(f331(f147(x83622,x83621,x83623),x83624),x83625))) % 159.04/158.76 [8440]P104(f331(x84401,x84402))+P104(f331(f331(f201(x84403),x84402),x84404))+~P104(f331(f331(f201(f30(x84401,x84405,x84403)),x84402),x84404)) % 159.04/158.76 [8451]~P28(x84511)+P104(f331(f331(f244(x84511),f331(f331(f42(x84512,x84511),x84513),x84514)),f331(f331(f42(x84512,x84511),x84515),x84514)))+~P104(f331(f331(f244(f885(x84512,a871)),x84513),x84515)) % 159.04/158.76 [8452]~P28(x84521)+P104(f331(f331(f244(x84521),f331(f331(f43(x84522,x84521),x84523),x84524)),f331(f331(f43(x84522,x84521),x84525),x84524)))+~P104(f331(f331(f244(f885(x84522,a871)),x84525),x84523)) % 159.04/158.76 [8463]~P104(f331(x84634,x84632))+P104(f331(f331(f201(x84631),x84632),x84633))+~P104(f331(f331(f201(f30(x84634,x84631,x84635)),x84632),x84633)) % 159.04/158.76 [8487]~P107(x84873)+P104(f331(f136(x84871),x84872))+~P104(f331(f136(x84871),f331(f331(f147(x84871,x84873,x84874),x84875),x84872))) % 159.04/158.76 [8497]P104(f331(f331(f201(x84971),x84972),x84973))+P104(f331(f331(f201(x84974),x84972),x84973))+~P104(f331(f331(f201(f30(x84975,x84971,x84974)),x84972),x84973)) % 159.04/158.76 [8628]~P107(x86281)+~P104(f331(f331(f333(x86282),x86283),f331(f172(x86282),x86284)))+~P104(f331(f136(x86282),f331(f331(f147(x86282,x86281,x86285),x86283),x86284))) % 159.04/158.76 [8708]~P107(x87081)+P30(x87081,f331(f331(f153(x87082,x87081),x87083),x87084))+~P30(x87081,f331(f331(f153(x87082,x87081),x87083),f331(f331(f147(x87082,x87081,x87083),x87085),x87084))) % 159.04/158.76 [8800]~P107(x88002)+E(f331(f331(f147(x88001,x88002,x88003),x88004),x88005),f148(x88001,x88002,x88003,x88004,x88005))+P104(f331(f331(f333(x88002),f331(x88003,x88004)),f331(f309(x88001,x88002,x88003),f331(f172(x88001),x88005)))) % 159.04/158.76 [8875]~P107(x88752)+E(f148(x88751,x88752,x88753,x88754,x88755),x88755)+~P104(f331(f331(f333(x88752),f331(x88753,x88754)),f331(f309(x88751,x88752,x88753),f331(f172(x88751),x88755)))) % 159.04/158.76 [8891]~P21(x88912,x88911,x88913,x88915)+P104(f331(f331(f245(f885(x88911,a871)),f331(f309(x88912,x88911,x88913),x88914)),f331(f309(x88912,x88911,x88913),x88915)))+~P104(f331(f331(f245(f885(x88912,a871)),x88914),x88915)) % 159.04/158.76 [9060]~P21(x90601,x90602,x90603,f253(f885(x90601,a871)))+~P104(f331(f331(f244(f885(x90602,a871)),x90604),f331(f309(x90601,x90602,x90603),x90605)))+P104(f331(f331(f244(f885(x90601,a871)),f331(f310(x90601,x90602,x90603),x90604)),x90605)) % 159.04/158.76 [9080]~E(f331(f309(x90803,x90801,x90804),f253(f885(x90803,a871))),f253(f885(x90801,a871)))+P104(f331(f331(f244(f885(x90801,a871)),x90802),f331(f309(x90803,x90801,x90804),x90805)))+~P104(f331(f331(f244(f885(x90803,a871)),f331(f310(x90803,x90801,x90804),x90802)),x90805)) % 159.04/158.76 [9104]~E(f331(f236(x91042),x91044),f331(f331(f178(x91041,x91042),x91045),x91043))+~P104(f331(f136(x91041),f331(f331(f153(f884(x91041,x91042),x91041),f264(x91041,x91042)),x91045)))+P104(f331(f331(f333(f884(x91041,x91042)),f331(f331(f265(x91041,x91042),x91043),x91044)),f331(f172(f884(x91041,x91042)),x91045))) % 159.04/158.76 [9186]~P21(x91861,x91864,x91865,f253(f885(x91861,a871)))+~P104(f331(f331(f244(f885(x91864,a871)),f331(f309(x91861,x91864,x91865),x91862)),f331(f309(x91861,x91864,x91865),x91863)))+P104(f331(f331(f244(f885(x91861,a871)),x91862),x91863)) % 159.04/158.76 [9253]E(f331(f236(x92531),x92532),f331(f331(f178(x92533,x92531),x92534),x92535))+~P104(f331(f136(x92533),f331(f331(f153(f884(x92533,x92531),x92533),f264(x92533,x92531)),x92534)))+~P104(f331(f331(f333(f884(x92533,x92531)),f331(f331(f265(x92533,x92531),x92535),x92532)),f331(f172(f884(x92533,x92531)),x92534))) % 159.04/158.76 [9255]E(f331(f331(f178(x92551,x92552),x92553),x92554),f331(f236(x92552),x92555))+~P104(f331(f136(x92551),f331(f331(f153(f884(x92551,x92552),x92551),f264(x92551,x92552)),x92553)))+~P104(f331(f331(f333(f884(x92551,x92552)),f331(f331(f265(x92551,x92552),x92554),x92555)),f331(f172(f884(x92551,x92552)),x92553))) % 159.04/158.76 [9310]~P80(x93101)+~E(f331(x93103,f642(x93103,x93104,x93105,x93102,x93101)),f2(x93101))+E(f331(f165(x93101),f331(f331(f153(x93102,x93101),x93103),f331(f135(x93102,x93104),x93105))),f331(f165(x93101),f331(f331(f153(x93102,x93101),x93103),x93105))) % 159.04/158.76 [9487]~P12(x94871,x94872,x94873)+~P104(f331(f62(x94871),x94875))+P104(f331(f67(x94871,x94872,x94873,x94874,x94875),f331(f331(f65(x94871,x94872,x94873),x94874),x94875))) % 159.04/158.76 [9566]P104(f331(x95661,f796(x95662,x95661,x95663,x95664,x95665)))+~P104(f331(f331(f244(f885(x95665,a871)),x95664),x95663))+P104(f331(f331(f244(f885(x95665,a871)),f331(f331(f105(f885(x95665,a871)),x95664),f331(f250(x95665),x95661))),f331(f331(f105(f885(x95665,a871)),x95663),f331(f250(x95665),x95662)))) % 159.04/158.76 [9580]~P80(x95801)+~P104(f331(x95804,f642(x95803,x95804,x95805,x95802,x95801)))+E(f331(f165(x95801),f331(f331(f153(x95802,x95801),x95803),f331(f135(x95802,x95804),x95805))),f331(f165(x95801),f331(f331(f153(x95802,x95801),x95803),x95805))) % 159.04/158.76 [9659]~P28(x96595)+P104(f331(f331(f333(x96591),f616(x96592,x96593,x96591,x96594,x96595)),x96593))+P104(f331(f331(f244(x96595),x96594),f331(f331(f43(x96591,x96595),x96593),x96592))) % 159.04/158.76 [9662]~P80(x96621)+E(f331(f165(x96621),f331(f331(f153(x96622,x96621),x96623),f331(f135(x96622,x96624),x96625))),f331(f165(x96621),f331(f331(f153(x96622,x96621),x96623),x96625)))+P104(f331(f331(f333(x96622),f642(x96623,x96624,x96625,x96622,x96621)),f331(f172(x96622),x96625))) % 159.04/158.76 [9672]~P104(f331(x96725,f796(x96725,x96723,x96724,x96722,x96721)))+~P104(f331(f331(f244(f885(x96721,a871)),x96722),x96724))+P104(f331(f331(f244(f885(x96721,a871)),f331(f331(f105(f885(x96721,a871)),x96722),f331(f250(x96721),x96723))),f331(f331(f105(f885(x96721,a871)),x96724),f331(f250(x96721),x96725)))) % 159.04/158.76 [9706]P36(x97061,x97062,x97063,x97064,x97065)+~E(f331(f195(f877(x97062)),x97065),f331(f195(f877(x97061)),x97064))+P104(f331(f331(f245(a876),f675(x97065,x97064,x97063,x97062,x97061)),f331(f195(f877(x97061)),x97064))) % 159.04/158.76 [9707]P36(x97071,x97072,x97073,x97074,x97075)+~E(f331(f195(f877(x97072)),x97075),f331(f195(f877(x97071)),x97074))+P104(f331(f331(f245(a876),f713(x97073,x97075,x97072,x97074,x97071)),f331(f195(f877(x97071)),x97074))) % 159.04/158.76 [9740]P104(f331(f331(f333(x97401),f796(x97402,x97403,x97404,x97405,x97401)),x97405))+~P104(f331(f331(f244(f885(x97401,a871)),x97405),x97404))+P104(f331(f331(f244(f885(x97401,a871)),f331(f331(f105(f885(x97401,a871)),x97405),f331(f250(x97401),x97403))),f331(f331(f105(f885(x97401,a871)),x97404),f331(f250(x97401),x97402)))) % 159.04/158.76 [9794]~P28(x97941)+~P104(f331(f331(f244(x97941),x97942),f331(x97945,f616(x97945,x97944,x97943,x97942,x97941))))+P104(f331(f331(f244(x97941),x97942),f331(f331(f43(x97943,x97941),x97944),x97945))) % 159.04/158.76 [9827]~P68(x98271)+~P104(f331(f62(x98272),x98275))+E(f331(f331(f331(f66(x98271,x98272,f81(x98271)),f331(f331(f18(x98272,x98271,x98271),f331(f331(f8(x98271,f885(x98271,x98271),x98272),f81(x98271)),x98273)),x98274)),f78(x98271)),x98275),f331(f331(f81(x98271),f331(f331(f331(f66(x98271,x98272,f81(x98271)),x98273),f78(x98271)),x98275)),f331(f331(f331(f66(x98271,x98272,f81(x98271)),x98274),f78(x98271)),x98275))) % 159.04/158.76 [9890]~P104(f331(f331(f333(f884(f885(x98901,a871),f885(x98901,a871))),f331(f331(f265(f885(x98901,a871),f885(x98901,a871)),x98905),x98904)),f323(x98901,x98903)))+~P104(f331(f331(f333(x98901),x98902),x98905))+P104(f331(f331(f333(f884(x98901,x98901)),f331(f331(f265(x98901,x98901),x98902),f739(x98903,x98904,x98905,x98901,x98902))),x98903)) % 159.04/158.76 [10018]~P104(f331(f331(f333(f884(f877(x100181),f877(x100181))),f331(f331(f265(f877(x100181),f877(x100181)),f331(f331(f126(x100181),x100185),x100182)),f331(f331(f126(x100181),x100185),x100183))),f146(x100181,x100184)))+P104(f331(f331(f333(f884(f877(x100181),f877(x100181))),f331(f331(f265(f877(x100181),f877(x100181)),x100182),x100183)),f146(x100181,x100184)))+P104(f331(f331(f333(f884(x100181,x100181)),f331(f331(f265(x100181,x100181),f607(x100184,x100183,x100182,x100185,x100181)),f607(x100184,x100183,x100182,x100185,x100181))),x100184)) % 159.04/158.76 [7153]~E(f331(f195(f877(x71531)),x71533),f331(f195(f877(x71532)),x71534))+E(f331(f331(f178(x71531,x71532),f331(f331(f182(x71531,x71532),x71533),x71534)),x71535),f197(x71532))+P104(f331(f331(f333(x71531),x71535),f331(f172(x71531),x71533))) % 159.04/158.76 [7226]~E(x72263,x72265)+E(f331(f331(f164(x72261),f331(f331(f158(x72261,x72262),x72263),x72264)),x72265),x72264)+~P104(f331(f331(f245(a876),x72263),f331(f195(f877(x72261)),x72262))) % 159.04/158.76 [7335]~E(f331(f331(f126(x73351),x73352),x73354),f331(f331(f126(x73351),x73353),x73355))+E(f331(f331(f175(x73351),f331(f195(f877(x73351)),x73352)),x73353),x73352)+P104(f331(f331(f244(a876),f331(f195(f877(x73351)),x73353)),f331(f195(f877(x73351)),x73352))) % 159.04/158.76 [7352]~E(x73525,x73522)+P104(f331(x73521,x73522))+P104(f331(f331(f331(f331(a203,f32(x73521,x73523)),x73522),x73524),x73525)) % 159.04/158.76 [7838]~E(f331(f331(f126(x78381),x78382),x78384),f331(f331(f126(x78381),x78383),x78385))+E(f331(f331(f175(x78381),f331(f195(f877(x78381)),x78382)),x78383),x78382)+~P104(f331(f331(f244(a876),f331(f195(f877(x78381)),x78382)),f331(f195(f877(x78381)),x78383))) % 159.04/158.76 [7862]~P104(f331(f62(x78621),f331(x78624,x78625)))+~P104(f331(f331(f333(x78622),x78625),x78623))+P104(f331(f62(x78621),f331(f331(f43(x78622,f885(x78621,a871)),x78623),x78624))) % 159.04/158.76 [7915]~E(f331(f195(f877(x79151)),x79152),f331(f195(f877(x79153)),x79154))+~E(f331(f331(f178(x79151,x79153),f331(f331(f182(x79151,x79153),x79152),x79154)),x79155),f197(x79153))+~P104(f331(f331(f333(x79151),x79155),f331(f172(x79151),x79152))) % 159.04/158.76 [8044]~P49(x80441,x80443,x80445)+~P49(x80441,x80442,x80444)+P49(x80441,f331(f331(f114(f885(x80441,a871)),x80442),x80443),f331(f331(f114(f885(f884(x80441,x80441),a871)),x80444),x80445)) % 159.04/158.76 [8045]~P49(x80451,x80453,x80455)+~P49(x80451,x80452,x80454)+P49(x80451,f331(f331(f105(f885(x80451,a871)),x80452),x80453),f331(f331(f105(f885(f884(x80451,x80451),a871)),x80454),x80455)) % 159.04/158.76 [8127]E(x81271,x81272)+P104(f331(x81273,x81271))+~P104(f331(f331(f331(f331(a203,f32(x81273,x81274)),x81271),x81275),x81272)) % 159.04/158.76 [8401]E(f331(f331(f265(x84011,x84012),f331(f331(f164(x84011),x84013),x84014)),f331(f331(f164(x84012),x84015),x84014)),f331(f331(f164(f884(x84011,x84012)),f331(f331(f182(x84011,x84012),x84013),x84015)),x84014))+~P104(f331(f331(f245(a876),x84014),f331(f195(f877(x84011)),x84013)))+~P104(f331(f331(f245(a876),x84014),f331(f195(f877(x84012)),x84015))) % 159.04/158.76 [8561]~P49(x85611,x85613,x85614)+P104(f331(f331(f333(x85611),x85612),x85613))+~P104(f331(f331(f333(f884(x85611,x85611)),f331(f331(f265(x85611,x85611),x85615),x85612)),x85614)) % 159.04/158.76 [8562]~P49(x85621,x85623,x85624)+P104(f331(f331(f333(x85621),x85622),x85623))+~P104(f331(f331(f333(f884(x85621,x85621)),f331(f331(f265(x85621,x85621),x85622),x85625)),x85624)) % 159.04/158.76 [8563]~P3(x85631,x85633,x85634)+P104(f331(f331(f333(x85631),x85632),x85633))+~P104(f331(f331(f333(f884(x85631,x85631)),f331(f331(f265(x85631,x85631),x85635),x85632)),x85634)) % 159.04/158.76 [8564]~P3(x85641,x85643,x85644)+P104(f331(f331(f333(x85641),x85642),x85643))+~P104(f331(f331(f333(f884(x85641,x85641)),f331(f331(f265(x85641,x85641),x85642),x85645)),x85644)) % 159.04/158.76 [8823]~P3(x88231,x88235,x88232)+E(f331(f284(x88231,x88231,x88232),f331(f331(f308(x88231),x88233),f194(f885(x88231,a871)))),f331(f284(x88231,x88231,x88232),f331(f331(f308(x88231),x88234),f194(f885(x88231,a871)))))+~P104(f331(f331(f333(f884(x88231,x88231)),f331(f331(f265(x88231,x88231),x88233),x88234)),x88232)) % 159.04/158.76 [8906]~P104(f331(f331(f331(f331(a203,x89062),x89063),x89064),x89065))+~P104(f331(f331(f331(f331(a203,f32(x89061,x89062)),x89065),x89064),x89063))+P104(f331(f331(f331(f331(a203,f32(x89061,x89062)),x89063),x89064),x89063)) % 159.04/158.76 [9015]P104(f331(x90151,x90152))+~P104(f331(f331(f333(x90153),x90152),x90155))+P104(f331(f331(f333(x90153),f513(x90151,x90154,x90155,x90153)),f331(f331(f114(f885(x90153,a871)),x90155),x90154))) % 159.04/158.76 [9016]P104(f331(x90161,x90162))+~P104(f331(f331(f333(x90163),x90162),x90164))+P104(f331(f331(f333(x90163),f513(x90161,x90164,x90165,x90163)),f331(f331(f114(f885(x90163,a871)),x90165),x90164))) % 159.04/158.76 [9024]~P104(f331(x90242,x90245))+~P104(f331(f331(f333(x90241),x90245),x90244))+P104(f331(f331(f333(x90241),f504(x90242,x90243,x90244,x90241)),f331(f331(f114(f885(x90241,a871)),x90244),x90243))) % 159.04/158.76 [9025]~P104(f331(x90252,x90255))+~P104(f331(f331(f333(x90251),x90255),x90253))+P104(f331(f331(f333(x90251),f504(x90252,x90253,x90254,x90251)),f331(f331(f114(f885(x90251,a871)),x90254),x90253))) % 159.04/158.76 [9040]~P104(f331(f331(f244(f885(x90401,a871)),x90405),x90403))+~P104(f331(f331(f244(f885(x90401,a871)),x90402),x90404))+P104(f331(f331(f244(f885(x90401,a871)),f331(f331(f22(f885(x90401,a871)),x90402),x90403)),f331(f331(f22(f885(x90401,a871)),x90404),x90405))) % 159.04/158.76 [9041]~P104(f331(f331(f244(f885(x90411,a871)),x90413),x90415))+~P104(f331(f331(f244(f885(x90411,a871)),x90412),x90414))+P104(f331(f331(f244(f885(x90411,a871)),f331(f331(f114(f885(x90411,a871)),x90412),x90413)),f331(f331(f114(f885(x90411,a871)),x90414),x90415))) % 159.04/158.76 [9042]~P104(f331(f331(f244(f885(x90421,a871)),x90423),x90425))+~P104(f331(f331(f244(f885(x90421,a871)),x90422),x90424))+P104(f331(f331(f244(f885(x90421,a871)),f331(f331(f105(f885(x90421,a871)),x90422),x90423)),f331(f331(f105(f885(x90421,a871)),x90424),x90425))) % 159.04/158.76 [9129]~E(f331(f195(f877(x91291)),x91293),f331(f195(f877(x91292)),x91294))+E(f331(f331(f178(x91291,x91292),f331(f331(f182(x91291,x91292),x91293),x91294)),x91295),f331(f236(x91292),f541(x91295,x91294,x91292,x91293,x91291)))+~P104(f331(f331(f333(x91291),x91295),f331(f172(x91291),x91293))) % 159.04/158.76 [9133]P104(f331(f331(f333(f884(x91331,x91331)),f331(f331(f265(x91331,x91331),x91332),x91333)),f325(x91331,x91334,x91335)))+~P104(f331(f331(f244(a876),f331(x91334,x91332)),f331(x91334,x91333)))+~P104(f331(f331(f333(f884(x91331,x91331)),f331(f331(f265(x91331,x91331),x91332),x91333)),x91335)) % 159.04/158.76 [9320]P104(f331(f331(f333(f884(x93201,x93201)),f331(f331(f265(x93201,x93201),x93202),x93203)),f306(x93201,x93204)))+~P104(f331(f331(f333(f884(x93201,x93201)),f331(f331(f265(x93201,x93201),x93202),x93205)),f306(x93201,x93204)))+~P104(f331(f331(f333(f884(x93201,x93201)),f331(f331(f265(x93201,x93201),x93205),x93203)),x93204)) % 159.04/158.76 [9321]P104(f331(f331(f333(f884(x93211,x93211)),f331(f331(f265(x93211,x93211),x93212),x93213)),f306(x93211,x93214)))+~P104(f331(f331(f333(f884(x93211,x93211)),f331(f331(f265(x93211,x93211),x93215),x93213)),f306(x93211,x93214)))+~P104(f331(f331(f333(f884(x93211,x93211)),f331(f331(f265(x93211,x93211),x93212),x93215)),x93214)) % 159.04/158.76 [9418]E(x94181,x94182)+E(f331(a116,f757(x94183,x94184,x94181,x94182,x94185)),x94184)+~P104(f331(f331(f333(f884(x94185,x94185)),f331(f331(f265(x94185,x94185),x94182),x94181)),f331(f331(f189(f884(x94185,x94185),a871),x94184),x94183))) % 159.04/158.76 [9419]E(x94191,x94192)+E(f331(a116,f764(x94193,x94194,x94191,x94192,x94195)),x94194)+~P104(f331(f331(f333(f884(x94195,x94195)),f331(f331(f265(x94195,x94195),x94192),x94191)),f331(f331(f189(f884(x94195,x94195),a871),x94194),x94193))) % 159.04/158.76 [9420]E(x94201,f2(a876))+E(f331(a116,f757(x94202,x94201,x94203,x94204,x94205)),x94201)+~P104(f331(f331(f333(f884(x94205,x94205)),f331(f331(f265(x94205,x94205),x94204),x94203)),f331(f331(f189(f884(x94205,x94205),a871),x94201),x94202))) % 159.04/158.76 [9421]E(x94211,f2(a876))+E(f331(a116,f764(x94212,x94211,x94213,x94214,x94215)),x94211)+~P104(f331(f331(f333(f884(x94215,x94215)),f331(f331(f265(x94215,x94215),x94214),x94213)),f331(f331(f189(f884(x94215,x94215),a871),x94211),x94212))) % 159.04/158.76 [9437]P104(f331(f331(f333(f884(x94371,x94371)),f331(f331(f265(x94371,x94371),x94372),x94373)),f331(f331(f287(x94371,x94371,x94371),x94374),f306(x94371,x94374))))+~P104(f331(f331(f333(f884(x94371,x94371)),f331(f331(f265(x94371,x94371),x94372),x94375)),x94374))+~P104(f331(f331(f333(f884(x94371,x94371)),f331(f331(f265(x94371,x94371),x94375),x94373)),x94374)) % 159.04/158.76 [9444]~P104(f331(f331(f333(f884(x94441,x94441)),f331(f331(f265(x94441,x94441),x94442),x94445)),f306(x94441,x94444)))+P104(f331(f331(f333(f884(x94441,x94441)),f331(f331(f265(x94441,x94441),x94442),x94443)),f331(f331(f287(x94441,x94441,x94441),x94444),f306(x94441,x94444))))+~P104(f331(f331(f333(f884(x94441,x94441)),f331(f331(f265(x94441,x94441),x94445),x94443)),x94444)) % 159.04/158.76 [9483]~P3(x94831,x94835,x94832)+~P104(f331(f331(f333(f884(x94831,x94831)),f331(f331(f265(x94831,x94831),x94833),x94834)),x94832))+P104(f331(f331(f244(f885(x94831,a871)),f331(f284(x94831,x94831,x94832),f331(f331(f308(x94831),x94833),f194(f885(x94831,a871))))),f331(f284(x94831,x94831,x94832),f331(f331(f308(x94831),x94834),f194(f885(x94831,a871)))))) % 159.04/158.76 [9505]E(x95051,x95052)+P104(f331(f331(f331(f331(a203,x95053),x95051),x95054),f479(x95052,x95054,x95051,x95053,x95055)))+~P104(f331(f331(f331(f331(a203,f32(x95055,x95053)),x95051),x95054),x95052)) % 159.04/158.76 [9509]~P104(f331(x95095,x95092))+P104(f331(f331(f331(f331(a203,x95091),x95092),x95093),f479(x95094,x95093,x95092,x95091,x95095)))+~P104(f331(f331(f331(f331(a203,f32(x95095,x95091)),x95092),x95093),x95094)) % 159.04/158.76 [9538]P104(f331(f331(f333(f884(x95381,x95381)),f331(f331(f265(x95381,x95381),x95382),x95383)),f331(f331(f287(x95381,x95381,x95381),x95384),f306(x95381,x95384))))+~P104(f331(f331(f333(f884(x95381,x95381)),f331(f331(f265(x95381,x95381),x95382),x95385)),f331(f331(f287(x95381,x95381,x95381),x95384),f306(x95381,x95384))))+~P104(f331(f331(f333(f884(x95381,x95381)),f331(f331(f265(x95381,x95381),x95385),x95383)),x95384)) % 159.04/158.76 [9539]P104(f331(f331(f333(f884(x95391,x95391)),f331(f331(f265(x95391,x95391),x95392),x95393)),f331(f331(f287(x95391,x95391,x95391),x95394),f306(x95391,x95394))))+~P104(f331(f331(f333(f884(x95391,x95391)),f331(f331(f265(x95391,x95391),x95395),x95393)),f331(f331(f287(x95391,x95391,x95391),x95394),f306(x95391,x95394))))+~P104(f331(f331(f333(f884(x95391,x95391)),f331(f331(f265(x95391,x95391),x95392),x95395)),x95394)) % 159.04/158.76 [9589]~P104(f331(f67(x95891,x95891,x95894,x95892,x95893),x95895))+P104(f331(f331(f333(x95891),x95892),x95893))+P104(f331(f63(x95891,x95894,f331(f331(f308(x95891),x95892),x95893)),x95895)) % 159.04/158.76 [9628]~E(f331(f309(x96283,x96282,x96285),x96284),x96281)+E(x96281,f194(f885(x96282,a871)))+P104(f331(f331(f244(f885(x96283,a871)),f331(f309(x96282,x96283,f823(x96284,x96283,x96282,x96281)),x96281)),x96284)) % 159.04/158.76 [9675]~P28(x96755)+P104(f331(f331(f333(x96751),f492(x96752,x96753,x96754,x96751,x96755)),x96754))+P104(f331(f331(f244(x96755),f331(f331(f42(x96751,x96755),x96754),x96753)),x96752)) % 159.04/158.76 [9726]P36(x97261,x97262,x97263,x97264,x97265)+~E(f331(f195(f877(x97261)),x97264),f331(f195(f877(x97262)),x97265))+P104(f331(f331(f333(f884(x97261,x97262)),f663(x97265,x97264,x97263,x97262,x97261)),f331(f172(f884(x97261,x97262)),f331(f331(f182(x97261,x97262),x97264),x97265)))) % 159.04/158.76 [9727]P36(x97271,x97272,x97273,x97274,x97275)+~E(f331(f195(f877(x97271)),x97274),f331(f195(f877(x97272)),x97275))+P104(f331(f331(f333(f884(x97271,x97272)),f674(x97273,x97275,x97274,x97272,x97271)),f331(f172(f884(x97271,x97272)),f331(f331(f182(x97271,x97272),x97274),x97275)))) % 159.04/158.76 [9857]E(x98571,x98572)+P104(f331(f331(f331(f331(a203,f32(x98573,x98574)),f479(x98571,x98575,x98572,x98574,x98573)),x98575),x98571))+~P104(f331(f331(f331(f331(a203,f32(x98573,x98574)),x98572),x98575),x98571)) % 159.04/158.76 [9859]~P104(f331(x98591,x98595))+P104(f331(f331(f331(f331(a203,f32(x98591,x98592)),f479(x98593,x98594,x98595,x98592,x98591)),x98594),x98593))+~P104(f331(f331(f331(f331(a203,f32(x98591,x98592)),x98595),x98594),x98593)) % 159.04/158.76 [9867]E(x98671,x98672)+P104(f331(f331(f333(f884(x98673,x98673)),f331(f331(f265(x98673,x98673),x98671),f759(x98674,x98675,x98672,x98671,x98673))),x98674))+~P104(f331(f331(f333(f884(x98673,x98673)),f331(f331(f265(x98673,x98673),x98671),x98672)),f331(f331(f189(f884(x98673,x98673),a871),x98675),x98674))) % 159.04/158.76 [9868]E(x98681,f2(a876))+P104(f331(f331(f333(f884(x98682,x98682)),f331(f331(f265(x98682,x98682),x98683),f759(x98684,x98681,x98685,x98683,x98682))),x98684))+~P104(f331(f331(f333(f884(x98682,x98682)),f331(f331(f265(x98682,x98682),x98683),x98685)),f331(f331(f189(f884(x98682,x98682),a871),x98681),x98684))) % 159.04/158.76 [9911]~P28(x99111)+~P104(f331(f331(f244(x99111),f331(x99114,f492(x99115,x99114,x99113,x99112,x99111))),x99115))+P104(f331(f331(f244(x99111),f331(f331(f42(x99112,x99111),x99113),x99114)),x99115)) % 159.04/158.76 [9953]E(x99531,x99532)+P104(f331(f331(f333(f884(x99533,x99533)),f331(f331(f265(x99533,x99533),f758(x99534,x99535,x99531,x99532,x99533)),x99531)),x99534))+~P104(f331(f331(f333(f884(x99533,x99533)),f331(f331(f265(x99533,x99533),x99532),x99531)),f331(f331(f189(f884(x99533,x99533),a871),x99535),x99534))) % 159.04/158.76 [9954]E(x99541,f2(a876))+P104(f331(f331(f333(f884(x99542,x99542)),f331(f331(f265(x99542,x99542),f758(x99543,x99541,x99544,x99545,x99542)),x99544)),x99543))+~P104(f331(f331(f333(f884(x99542,x99542)),f331(f331(f265(x99542,x99542),x99545),x99544)),f331(f331(f189(f884(x99542,x99542),a871),x99541),x99543))) % 159.04/158.76 [9958]E(x99581,x99582)+P104(f331(f331(f333(f884(x99583,x99583)),f331(f331(f265(x99583,x99583),x99581),f758(x99584,x99585,x99582,x99581,x99583))),f331(f331(f189(f884(x99583,x99583),a871),f757(x99584,x99585,x99582,x99581,x99583)),x99584)))+~P104(f331(f331(f333(f884(x99583,x99583)),f331(f331(f265(x99583,x99583),x99581),x99582)),f331(f331(f189(f884(x99583,x99583),a871),x99585),x99584))) % 159.04/158.76 [9959]E(x99591,f2(a876))+P104(f331(f331(f333(f884(x99592,x99592)),f331(f331(f265(x99592,x99592),x99593),f758(x99594,x99591,x99595,x99593,x99592))),f331(f331(f189(f884(x99592,x99592),a871),f757(x99594,x99591,x99595,x99593,x99592)),x99594)))+~P104(f331(f331(f333(f884(x99592,x99592)),f331(f331(f265(x99592,x99592),x99593),x99595)),f331(f331(f189(f884(x99592,x99592),a871),x99591),x99594))) % 159.04/158.76 [10009]E(x100091,x100092)+P104(f331(f331(f333(f884(x100093,x100093)),f331(f331(f265(x100093,x100093),f759(x100094,x100095,x100091,x100092,x100093)),x100091)),f331(f331(f189(f884(x100093,x100093),a871),f764(x100094,x100095,x100091,x100092,x100093)),x100094)))+~P104(f331(f331(f333(f884(x100093,x100093)),f331(f331(f265(x100093,x100093),x100092),x100091)),f331(f331(f189(f884(x100093,x100093),a871),x100095),x100094))) % 159.04/158.76 [10010]E(x100101,f2(a876))+P104(f331(f331(f333(f884(x100102,x100102)),f331(f331(f265(x100102,x100102),f759(x100103,x100101,x100104,x100105,x100102)),x100104)),f331(f331(f189(f884(x100102,x100102),a871),f764(x100103,x100101,x100104,x100105,x100102)),x100103)))+~P104(f331(f331(f333(f884(x100102,x100102)),f331(f331(f265(x100102,x100102),x100105),x100104)),f331(f331(f189(f884(x100102,x100102),a871),x100101),x100103))) % 159.04/158.76 [10044]~P69(x100442)+~P104(f331(f62(x100441),x100445))+E(f331(f331(f6(x100441,x100442),f331(f331(f7(x100441,x100442,x100442),f331(f331(f18(x100441,x100442,f885(x100442,x100442)),f331(f331(f8(a871,f885(x100442,f885(x100442,x100442)),x100441),f100(x100442)),f331(f331(f7(x100441,f885(x100441,a871),a871),f333(x100441)),x100443))),x100444)),f2(x100442))),x100445),f331(f331(f6(x100441,x100442),x100444),f331(f331(f105(f885(x100441,a871)),x100445),x100443))) % 159.04/158.76 [8625]~P69(x86251)+~P104(f331(f62(x86254),x86255))+E(f331(f331(f80(x86251),f331(x86252,x86253)),f331(f331(f6(x86254,x86251),x86252),f331(f331(f22(f885(x86254,a871)),x86255),f331(f331(f308(x86254),x86253),f194(f885(x86254,a871)))))),f331(f331(f6(x86254,x86251),x86252),f331(f331(f308(x86254),x86253),x86255))) % 159.04/158.76 [8626]~P68(x86261)+~P104(f331(f62(x86264),x86265))+E(f331(f331(f81(x86261),f331(x86262,x86263)),f331(f331(f9(x86264,x86261),x86262),f331(f331(f22(f885(x86264,a871)),x86265),f331(f331(f308(x86264),x86263),f194(f885(x86264,a871)))))),f331(f331(f9(x86264,x86261),x86262),f331(f331(f308(x86264),x86263),x86265))) % 159.04/158.76 [8945]~P107(x89452)+~P30(x89452,f331(f168(x89452),f331(f331(f153(x89451,x89452),x89454),x89455)))+E(f331(f135(x89451,f331(f331(f8(x89452,a871,x89451),f331(f245(x89452),x89453)),x89454)),x89455),f177(x89451,f331(f331(f8(x89452,a871,x89451),f331(f245(x89452),x89453)),x89454),x89455)) % 159.04/158.76 [8970]~P69(x89701)+E(f331(f331(f80(x89701),f331(f331(f6(a876,x89701),x89702),f301(a876,x89703,x89704))),f331(f331(f6(a876,x89701),x89702),f301(a876,f331(f331(f80(a876),x89704),f78(a876)),f331(f331(f80(a876),x89704),x89705)))),f331(f331(f6(a876,x89701),x89702),f301(a876,x89703,f331(f331(f80(a876),x89704),x89705))))+~P104(f331(f331(f244(a876),x89703),f331(f331(f80(a876),x89704),f78(a876)))) % 159.04/158.76 [8971]~P104(f331(f331(f333(x89711),x89714),x89715))+~P104(f331(f331(f244(f885(x89711,a871)),f331(f172(x89711),x89712)),x89715))+P104(f331(f331(f244(f885(x89711,a871)),f331(f172(x89711),f331(f331(f158(x89711,x89712),x89713),x89714))),x89715)) % 159.04/158.76 [9196]~P28(x91962)+~P104(f331(f62(x91961),x91965))+E(f331(f331(f65(x91961,x91962,f331(f331(f8(x91962,f885(x91962,x91962),x91961),f114(x91962)),x91963)),x91964),x91965),f331(f331(f114(x91962),x91964),f331(f331(f42(x91961,x91962),x91965),x91963))) % 159.04/158.76 [9197]~P28(x91972)+~P104(f331(f62(x91971),x91975))+E(f331(f331(f65(x91971,x91972,f331(f331(f8(x91972,f885(x91972,x91972),x91971),f105(x91972)),x91973)),x91974),x91975),f331(f331(f105(x91972),x91974),f331(f331(f43(x91971,x91972),x91975),x91973))) % 159.04/158.76 [9246]E(f331(x92461,x92462),f331(x92461,x92463))+P104(f331(f331(f245(a876),f331(x92461,x92462)),f331(x92461,x92463)))+~P104(f331(f331(f333(f884(x92464,x92464)),f331(f331(f265(x92464,x92464),x92462),x92463)),f152(x92464,f331(f331(f150(f885(x92464,a876)),x92461),x92465)))) % 159.04/158.76 [9277]~E(f331(x92774,x92772),f331(x92774,x92773))+~P104(f331(f331(f333(f884(x92771,x92771)),f331(f331(f265(x92771,x92771),x92772),x92773)),f152(x92771,x92775)))+P104(f331(f331(f333(f884(x92771,x92771)),f331(f331(f265(x92771,x92771),x92772),x92773)),f152(x92771,f331(f331(f150(f885(x92771,a876)),x92774),x92775)))) % 159.04/158.76 [9299]~P21(x92991,x92992,x92993,x92995)+P21(x92991,x92992,x92993,f331(f331(f308(x92991),x92994),x92995))+P104(f331(f331(f333(x92992),f331(x92993,x92994)),f331(f309(x92991,x92992,x92993),f331(f331(f22(f885(x92991,a871)),x92995),f331(f331(f308(x92991),x92994),f194(f885(x92991,a871))))))) % 159.04/158.76 [9303]P104(f331(x93032,x93035))+~P104(f331(f331(f333(x93031),x93035),f331(f172(x93031),x93033)))+E(f331(f331(f137(x93031),f331(f195(f877(x93031)),f177(x93031,x93032,f331(f331(f126(x93031),x93033),x93034)))),f331(f331(f126(x93031),x93033),x93034)),f331(f331(f126(x93031),f331(f331(f137(x93031),f331(f195(f877(x93031)),f177(x93031,x93032,x93033))),x93033)),x93034)) % 159.04/158.76 [9306]~P104(f331(f331(f333(f884(x93061,x93061)),f331(f331(f265(x93061,x93061),x93062),x93063)),f152(x93061,x93065)))+~P104(f331(f331(f244(a876),f331(x93064,x93062)),f331(x93064,x93063)))+P104(f331(f331(f333(f884(x93061,x93061)),f331(f331(f265(x93061,x93061),x93062),x93063)),f152(x93061,f331(f331(f150(f885(x93061,a876)),x93064),x93065)))) % 159.04/158.76 [9371]P104(f331(f331(f333(f884(x93714,x93714)),f331(f331(f265(x93714,x93714),x93712),x93713)),f152(x93714,x93715)))+P104(f331(f331(f245(a876),f331(x93711,x93712)),f331(x93711,x93713)))+~P104(f331(f331(f333(f884(x93714,x93714)),f331(f331(f265(x93714,x93714),x93712),x93713)),f152(x93714,f331(f331(f150(f885(x93714,a876)),x93711),x93715)))) % 159.04/158.76 [9512]~P104(f331(f331(f333(f884(f877(x95121),f877(x95121))),f331(f331(f265(f877(x95121),f877(x95121)),x95122),x95124)),f157(x95121,x95125)))+~P104(f331(f331(f245(a876),x95123),f331(f195(f877(x95121)),x95122)))+P104(f331(f331(f333(f884(x95121,x95121)),f331(f331(f265(x95121,x95121),f331(f331(f164(x95121),x95122),x95123)),f331(f331(f164(x95121),x95124),x95123))),x95125)) % 159.04/158.76 [9754]E(x97541,f2(a1))+~P104(f331(f49(x97543,x97541),f331(f331(f265(a1,a1),x97544),x97545)))+P104(f331(f49(f331(f331(f81(a1),x97542),x97543),x97541),f331(f331(f265(a1,a1),f331(f331(f80(a1),f331(f331(f81(a1),x97542),x97544)),f331(f331(f39(a1),f331(f331(f81(a1),x97542),x97545)),x97541))),f45(a1,f331(f331(f81(a1),x97542),x97545),x97541)))) % 159.04/158.76 [9756]~P104(f331(f331(f245(a876),f2(a876)),x97563))+~P104(f331(f48(x97562,x97563),f331(f331(f265(a876,a876),x97564),x97565)))+P104(f331(f48(f331(f331(f81(a876),x97561),x97562),x97563),f331(f331(f265(a876,a876),f331(f331(f80(a876),f331(f331(f81(a876),x97561),x97564)),f331(f331(f39(a876),f331(f331(f81(a876),x97561),x97565)),x97563))),f45(a876,f331(f331(f81(a876),x97561),x97565),x97563)))) % 159.04/158.76 [10067]~P69(x100672)+~P104(f331(f62(x100671),x100674))+E(f331(f331(f6(x100671,x100672),x100673),f331(f250(x100671),f331(f331(f18(x100671,a871,a871),f331(f331(f8(a871,f885(a871,a871),x100671),a329),f331(f331(f7(x100671,f885(x100671,a871),a871),f333(x100671)),x100674))),f331(f331(f7(x100671,f885(x100671,a871),a871),f333(x100671)),x100675)))),f331(f331(f6(x100671,x100672),f331(f331(f7(x100671,x100672,x100672),f331(f331(f18(x100671,x100672,f885(x100672,x100672)),f331(f331(f8(a871,f885(x100672,f885(x100672,x100672)),x100671),f100(x100672)),f331(f331(f7(x100671,f885(x100671,a871),a871),f333(x100671)),x100675))),x100673)),f2(x100672))),x100674)) % 159.04/158.76 [8255]~E(f331(f331(f126(x82551),x82552),x82555),f331(f331(f126(x82551),x82553),x82554))+E(f331(f331(f126(x82551),f331(f331(f137(x82551),f331(f195(f877(x82551)),x82552)),x82553)),x82554),x82555)+P104(f331(f331(f244(a876),f331(f195(f877(x82551)),x82553)),f331(f195(f877(x82551)),x82552))) % 159.04/158.76 [8454]~E(f331(f331(f126(x84542),x84543),x84541),f331(f331(f126(x84542),x84544),x84545))+E(x84541,f331(f331(f126(x84542),f331(f331(f137(x84542),f331(f195(f877(x84542)),x84543)),x84544)),x84545))+~P104(f331(f331(f244(a876),f331(f195(f877(x84542)),x84543)),f331(f195(f877(x84542)),x84544))) % 159.04/158.76 [8544]~E(f331(f331(f80(a876),f331(f331(f81(a876),x85443),x85444)),x85441),f331(f331(f80(a876),f331(f331(f81(a876),x85442),x85444)),x85445))+~P104(f331(f331(f244(a876),x85443),x85442))+E(x85441,f331(f331(f80(a876),f331(f331(f81(a876),f331(f331(f22(a876),x85442),x85443)),x85444)),x85445)) % 159.04/158.76 [8545]~E(f331(f331(f80(a876),f331(f331(f81(a876),x85451),x85453)),x85454),f331(f331(f80(a876),f331(f331(f81(a876),x85452),x85453)),x85455))+~P104(f331(f331(f244(a876),x85452),x85451))+E(f331(f331(f80(a876),f331(f331(f81(a876),f331(f331(f22(a876),x85451),x85452)),x85453)),x85454),x85455) % 159.04/158.76 [8701]E(f331(f331(f80(a876),f331(f331(f81(a876),x87011),x87012)),x87013),f331(f331(f80(a876),f331(f331(f81(a876),x87014),x87012)),x87015))+~P104(f331(f331(f244(a876),x87014),x87011))+~E(x87015,f331(f331(f80(a876),f331(f331(f81(a876),f331(f331(f22(a876),x87011),x87014)),x87012)),x87013)) % 159.04/158.76 [8702]E(f331(f331(f80(a876),f331(f331(f81(a876),x87021),x87022)),x87023),f331(f331(f80(a876),f331(f331(f81(a876),x87024),x87022)),x87025))+~P104(f331(f331(f244(a876),x87024),x87021))+~E(f331(f331(f80(a876),f331(f331(f81(a876),f331(f331(f22(a876),x87021),x87024)),x87022)),x87023),x87025) % 159.04/158.76 [9565]~P59(x95652)+~P104(f331(f62(x95651),x95655))+E(f331(f331(f9(x95651,x95652),f331(f331(f18(x95651,x95652,x95652),f331(f331(f8(x95652,f885(x95652,x95652),x95651),f288(x95652)),x95653)),x95654)),x95655),f331(f331(f288(x95652),f331(f331(f9(x95651,x95652),x95653),x95655)),f331(f331(f9(x95651,x95652),x95654),x95655))) % 159.04/158.76 [9690]~E(f767(x96905,x96904,x96903,x96902,x96901),f768(x96905,x96904,x96903,x96902,x96901))+P104(f331(f331(f333(f884(x96901,x96901)),f331(f331(f265(x96901,x96901),x96902),x96903)),f306(x96901,x96904)))+~P104(f331(f331(f333(f884(x96901,x96901)),f331(f331(f265(x96901,x96901),x96902),x96903)),f306(x96901,f331(f331(f114(f885(f884(x96901,x96901),a871)),x96904),x96905)))) % 159.04/158.76 [9691]~E(f769(x96915,x96914,x96913,x96912,x96911),f770(x96915,x96914,x96913,x96912,x96911))+P104(f331(f331(f333(f884(x96911,x96911)),f331(f331(f265(x96911,x96911),x96912),x96913)),f306(x96911,x96914)))+~P104(f331(f331(f333(f884(x96911,x96911)),f331(f331(f265(x96911,x96911),x96912),x96913)),f306(x96911,f331(f331(f114(f885(f884(x96911,x96911),a871)),x96914),x96915)))) % 159.04/158.76 [9901]P104(f331(f331(f333(f884(x99011,x99011)),f331(f331(f265(x99011,x99011),x99012),f770(x99015,x99014,x99013,x99012,x99011))),f306(x99011,x99014)))+P104(f331(f331(f333(f884(x99011,x99011)),f331(f331(f265(x99011,x99011),x99012),x99013)),f306(x99011,x99014)))+~P104(f331(f331(f333(f884(x99011,x99011)),f331(f331(f265(x99011,x99011),x99012),x99013)),f306(x99011,f331(f331(f114(f885(f884(x99011,x99011),a871)),x99014),x99015)))) % 159.04/158.76 [9980]P104(f331(f331(f333(f884(x99801,x99801)),f331(f331(f265(x99801,x99801),f768(x99805,x99804,x99803,x99802,x99801)),x99803)),f306(x99801,x99804)))+P104(f331(f331(f333(f884(x99801,x99801)),f331(f331(f265(x99801,x99801),x99802),x99803)),f306(x99801,x99804)))+~P104(f331(f331(f333(f884(x99801,x99801)),f331(f331(f265(x99801,x99801),x99802),x99803)),f306(x99801,f331(f331(f114(f885(f884(x99801,x99801),a871)),x99804),x99805)))) % 159.04/158.76 [10016]P104(f331(f331(f333(f884(x100161,x100161)),f331(f331(f265(x100161,x100161),x100162),x100163)),f306(x100161,x100164)))+P104(f331(f331(f333(f884(x100161,x100161)),f331(f331(f265(x100161,x100161),f767(x100165,x100164,x100163,x100162,x100161)),f768(x100165,x100164,x100163,x100162,x100161))),x100165))+~P104(f331(f331(f333(f884(x100161,x100161)),f331(f331(f265(x100161,x100161),x100162),x100163)),f306(x100161,f331(f331(f114(f885(f884(x100161,x100161),a871)),x100164),x100165)))) % 159.04/158.76 [10017]P104(f331(f331(f333(f884(x100171,x100171)),f331(f331(f265(x100171,x100171),x100172),x100173)),f306(x100171,x100174)))+P104(f331(f331(f333(f884(x100171,x100171)),f331(f331(f265(x100171,x100171),f770(x100175,x100174,x100173,x100172,x100171)),f769(x100175,x100174,x100173,x100172,x100171))),x100175))+~P104(f331(f331(f333(f884(x100171,x100171)),f331(f331(f265(x100171,x100171),x100172),x100173)),f306(x100171,f331(f331(f114(f885(f884(x100171,x100171),a871)),x100174),x100175)))) % 159.04/158.76 [10138]~P104(f331(f331(f333(f884(f877(x101381),f877(x101381))),f331(f331(f265(f877(x101381),f877(x101381)),x101384),x101385)),f157(x101381,x101382)))+~P104(f331(f331(f333(f884(x101381,x101381)),x101383),f331(f172(f884(x101381,x101381)),f331(f331(f182(x101381,x101381),x101384),x101385))))+P104(f331(f331(f269(x101381,x101381,a871),f331(f331(f7(x101381,f885(f884(x101381,x101381),a871),f885(x101381,a871)),f331(f331(f8(f885(x101381,f885(f885(f884(x101381,x101381),a871),a871)),f885(f885(f884(x101381,x101381),a871),f885(x101381,a871)),x101381),f7(x101381,f885(f884(x101381,x101381),a871),a871)),f331(f331(f8(f885(x101381,f884(x101381,x101381)),f885(x101381,f885(f885(f884(x101381,x101381),a871),a871)),x101381),f331(f8(f884(x101381,x101381),f885(f885(f884(x101381,x101381),a871),a871),x101381),f333(f884(x101381,x101381)))),f265(x101381,x101381)))),x101382)),x101383)) % 159.04/158.76 [9593]~P104(f331(f331(f244(a876),x95933),x95932))+~P104(f331(f331(f244(a876),f331(f331(f80(a876),f331(f331(f81(a876),x95933),x95934)),x95931)),f331(f331(f80(a876),f331(f331(f81(a876),x95932),x95934)),x95935)))+P104(f331(f331(f244(a876),x95931),f331(f331(f80(a876),f331(f331(f81(a876),f331(f331(f22(a876),x95932),x95933)),x95934)),x95935))) % 159.04/158.76 [9594]~P104(f331(f331(f244(a876),x95943),x95942))+~P104(f331(f331(f245(a876),f331(f331(f80(a876),f331(f331(f81(a876),x95943),x95944)),x95941)),f331(f331(f80(a876),f331(f331(f81(a876),x95942),x95944)),x95945)))+P104(f331(f331(f245(a876),x95941),f331(f331(f80(a876),f331(f331(f81(a876),f331(f331(f22(a876),x95942),x95943)),x95944)),x95945))) % 159.04/158.76 [9612]~P104(f331(f331(f244(a876),x96121),x96124))+P104(f331(f331(f244(a876),f331(f331(f80(a876),f331(f331(f81(a876),x96121),x96122)),x96123)),f331(f331(f80(a876),f331(f331(f81(a876),x96124),x96122)),x96125)))+~P104(f331(f331(f244(a876),x96123),f331(f331(f80(a876),f331(f331(f81(a876),f331(f331(f22(a876),x96124),x96121)),x96122)),x96125))) % 159.04/158.76 [9613]~P104(f331(f331(f244(a876),x96131),x96134))+P104(f331(f331(f245(a876),f331(f331(f80(a876),f331(f331(f81(a876),x96131),x96132)),x96133)),f331(f331(f80(a876),f331(f331(f81(a876),x96134),x96132)),x96135)))+~P104(f331(f331(f245(a876),x96133),f331(f331(f80(a876),f331(f331(f81(a876),f331(f331(f22(a876),x96134),x96131)),x96132)),x96135))) % 159.04/158.76 [9724]~P104(f331(f331(f244(a876),x97242),x97241))+~P104(f331(f331(f244(a876),f331(f331(f80(a876),f331(f331(f81(a876),x97241),x97243)),x97244)),f331(f331(f80(a876),f331(f331(f81(a876),x97242),x97243)),x97245)))+P104(f331(f331(f244(a876),f331(f331(f80(a876),f331(f331(f81(a876),f331(f331(f22(a876),x97241),x97242)),x97243)),x97244)),x97245)) % 159.04/158.76 [9725]~P104(f331(f331(f244(a876),x97252),x97251))+~P104(f331(f331(f245(a876),f331(f331(f80(a876),f331(f331(f81(a876),x97251),x97253)),x97254)),f331(f331(f80(a876),f331(f331(f81(a876),x97252),x97253)),x97255)))+P104(f331(f331(f245(a876),f331(f331(f80(a876),f331(f331(f81(a876),f331(f331(f22(a876),x97251),x97252)),x97253)),x97254)),x97255)) % 159.04/158.76 [9778]~P104(f331(f331(f244(a876),x97784),x97781))+P104(f331(f331(f244(a876),f331(f331(f80(a876),f331(f331(f81(a876),x97781),x97782)),x97783)),f331(f331(f80(a876),f331(f331(f81(a876),x97784),x97782)),x97785)))+~P104(f331(f331(f244(a876),f331(f331(f80(a876),f331(f331(f81(a876),f331(f331(f22(a876),x97781),x97784)),x97782)),x97783)),x97785)) % 159.04/158.76 [9779]~P104(f331(f331(f244(a876),x97794),x97791))+P104(f331(f331(f245(a876),f331(f331(f80(a876),f331(f331(f81(a876),x97791),x97792)),x97793)),f331(f331(f80(a876),f331(f331(f81(a876),x97794),x97792)),x97795)))+~P104(f331(f331(f245(a876),f331(f331(f80(a876),f331(f331(f81(a876),f331(f331(f22(a876),x97791),x97794)),x97792)),x97793)),x97795)) % 159.04/158.76 [10001]~P9(x100011,x100012,x100015,x100013)+~P104(f331(f331(f333(f884(x100011,x100011)),x100014),x100015))+P104(f331(f331(f269(x100011,x100011,a871),f331(f331(f7(x100011,f885(x100011,x100012),f885(x100011,a871)),f331(f331(f8(f885(x100012,a871),f885(f885(x100011,x100012),f885(x100011,a871)),x100011),f8(x100012,a871,x100011)),f331(f331(f8(x100012,f885(x100012,a871),x100011),a328),x100013))),x100013)),x100014)) % 159.04/158.76 [6797]~E(f331(x67974,x67975),f197(x67972))+E(f331(f185(x67971,x67972,x67973,x67974),x67975),f331(f236(x67972),x67976))+~E(f331(x67973,x67975),f331(f236(x67972),x67976)) % 159.04/158.76 [6897]~E(f331(x68973,x68976),f197(x68971))+E(f331(f239(f880(x68971),x68972,f197(x68971),x68973),f331(x68974,x68975)),f197(x68971))+~E(f331(x68974,x68975),f331(f236(x68972),x68976)) % 159.04/158.76 [7482]E(f331(x74821,x74822),f197(x74823))+~E(f331(f185(x74825,x74823,x74826,x74821),x74822),f331(f236(x74823),x74824))+E(f331(x74821,x74822),f331(f236(x74823),x74824)) % 159.04/158.76 [7518]~E(f331(f185(x75186,x75183,x75185,x75181),x75182),f331(f236(x75183),x75184))+E(f331(x75181,x75182),f331(f236(x75183),x75184))+E(f331(x75185,x75182),f331(f236(x75183),x75184)) % 159.04/158.76 [8414]~P15(x84146,x84141,x84142,x84144)+E(f331(f73(x84141,x84141,x84141,f331(x84142,x84143)),f331(x84144,x84145)),f331(f73(x84141,x84141,x84141,f331(x84144,x84145)),f331(x84142,x84143)))+~P104(f331(f62(x84146),x84145)) % 159.04/158.76 [8835]~P21(x88351,x88353,x88355,x88356)+~P21(x88353,x88352,x88354,f331(f309(x88351,x88353,x88355),x88356))+P21(x88351,x88352,f331(f73(x88353,x88352,x88351,x88354),x88355),x88356) % 159.04/158.76 [9403]~P104(f331(f331(x94033,x94032),x94036))+~P104(f331(f331(x94034,x94035),x94032))+P104(f331(f331(f333(x94031),x94032),f298(x94031,x94033,x94034,x94035,x94036))) % 159.04/158.76 [9404]~P104(f331(f331(x94044,x94042),x94046))+~P104(f331(f331(x94043,x94045),x94042))+P104(f331(f331(f333(x94041),x94042),f295(x94041,x94043,x94044,x94045,x94046))) % 159.04/158.76 [9513]E(x95131,x95132)+E(x95133,x95134)+~P104(f331(f331(f333(f884(f877(x95135),f877(x95135))),f331(f331(f265(f877(x95135),f877(x95135)),f331(f331(f150(x95135),x95133),x95131)),f331(f331(f150(x95135),x95134),x95132))),f156(x95135,x95136))) % 159.04/158.76 [9522]~E(x95222,x95224)+P104(f331(f331(f333(f884(f877(x95221),f877(x95221))),f331(f331(f265(f877(x95221),f877(x95221)),f331(f331(f150(x95221),x95222),x95223)),f331(f331(f150(x95221),x95224),x95225))),f146(x95221,x95226)))+~P104(f331(f331(f333(f884(f877(x95221),f877(x95221))),f331(f331(f265(f877(x95221),f877(x95221)),x95223),x95225)),f146(x95221,x95226))) % 159.04/158.76 [9523]~E(x95232,x95234)+P104(f331(f331(f333(f884(f877(x95231),f877(x95231))),f331(f331(f265(f877(x95231),f877(x95231)),f331(f331(f150(x95231),x95232),x95233)),f331(f331(f150(x95231),x95234),x95235))),f144(x95231,x95236)))+~P104(f331(f331(f333(f884(f877(x95231),f877(x95231))),f331(f331(f265(f877(x95231),f877(x95231)),x95233),x95235)),f144(x95231,x95236))) % 159.04/158.76 [9524]~E(x95242,x95244)+P104(f331(f331(f333(f884(f877(x95241),f877(x95241))),f331(f331(f265(f877(x95241),f877(x95241)),f331(f331(f150(x95241),x95242),x95243)),f331(f331(f150(x95241),x95244),x95245))),f156(x95241,x95246)))+~P104(f331(f331(f333(f884(f877(x95241),f877(x95241))),f331(f331(f265(f877(x95241),f877(x95241)),x95243),x95245)),f156(x95241,x95246))) % 159.04/158.76 [9525]~E(x95252,x95254)+P104(f331(f331(f333(f884(f877(x95251),f877(x95251))),f331(f331(f265(f877(x95251),f877(x95251)),f331(f331(f126(x95251),x95252),x95253)),f331(f331(f126(x95251),x95254),x95255))),f156(x95251,x95256)))+~P104(f331(f331(f333(f884(f877(x95251),f877(x95251))),f331(f331(f265(f877(x95251),f877(x95251)),x95253),x95255)),f156(x95251,x95256))) % 159.04/158.76 [9526]~E(x95263,x95265)+P104(f331(f331(f333(f884(f877(x95261),f877(x95261))),f331(f331(f265(f877(x95261),f877(x95261)),f331(f331(f126(x95261),x95262),x95263)),f331(f331(f126(x95261),x95264),x95265))),f156(x95261,x95266)))+~P104(f331(f331(f333(f884(f877(x95261),f877(x95261))),f331(f331(f265(f877(x95261),f877(x95261)),x95262),x95264)),f156(x95261,x95266))) % 159.04/158.76 [9581]E(x95811,x95812)+P104(f331(f331(f333(f884(f877(x95813),f877(x95813))),f331(f331(f265(f877(x95813),f877(x95813)),x95811),x95812)),f156(x95813,x95814)))+~P104(f331(f331(f333(f884(f877(x95813),f877(x95813))),f331(f331(f265(f877(x95813),f877(x95813)),f331(f331(f150(x95813),x95815),x95811)),f331(f331(f150(x95813),x95816),x95812))),f156(x95813,x95814))) % 159.04/158.76 [9728]~E(x97283,x97285)+P104(f331(f331(f333(f884(f877(x97281),f877(x97281))),f331(f331(f265(f877(x97281),f877(x97281)),f331(f331(f126(x97281),x97282),f331(f331(f150(x97281),x97283),f117(x97281)))),f331(f331(f126(x97281),x97284),f331(f331(f150(x97281),x97285),f117(x97281))))),f156(x97281,x97286)))+~P104(f331(f331(f333(f884(f877(x97281),f877(x97281))),f331(f331(f265(f877(x97281),f877(x97281)),x97282),x97284)),f156(x97281,x97286))) % 159.04/158.76 [9744]E(f331(x97441,x97442),f197(x97443))+~E(f331(f239(f880(x97446),x97443,f197(x97446),x97444),f331(x97441,x97442)),f197(x97446))+E(f331(x97444,f447(x97442,x97441,x97444,x97445,x97446,x97443)),f197(x97446)) % 159.04/158.76 [9745]E(f331(x97451,x97452),f197(x97453))+~E(f331(f239(f880(x97456),x97453,f197(x97456),x97454),f331(x97451,x97452)),f197(x97456))+E(f331(f236(x97453),f447(x97452,x97451,x97454,x97455,x97456,x97453)),f331(x97451,x97452)) % 159.04/158.76 [9782]E(x97821,x97822)+E(x97823,x97824)+~P104(f331(f331(f333(f884(f877(x97825),f877(x97825))),f331(f331(f265(f877(x97825),f877(x97825)),f331(f331(f126(x97825),x97823),f331(f331(f150(x97825),x97821),f117(x97825)))),f331(f331(f126(x97825),x97824),f331(f331(f150(x97825),x97822),f117(x97825))))),f156(x97825,x97826))) % 159.04/158.76 [9807]E(x98071,x98072)+~P104(f331(f331(f333(f884(f877(x98073),f877(x98073))),f331(f331(f265(f877(x98073),f877(x98073)),f331(f331(f126(x98073),x98071),f331(f331(f150(x98073),x98075),f117(x98073)))),f331(f331(f126(x98073),x98072),f331(f331(f150(x98073),x98076),f117(x98073))))),f156(x98073,x98074)))+P104(f331(f331(f333(f884(f877(x98073),f877(x98073))),f331(f331(f265(f877(x98073),f877(x98073)),x98071),x98072)),f156(x98073,x98074))) % 159.04/158.76 [9843]~P104(f331(f331(f333(f884(f885(x98431,a871),f885(x98431,a871))),f331(f331(f265(f885(x98431,a871),f885(x98431,a871)),x98432),x98434)),f323(x98431,x98436)))+~P104(f331(f331(f333(f884(f885(x98431,a871),f885(x98431,a871))),f331(f331(f265(f885(x98431,a871),f885(x98431,a871)),x98433),x98435)),f323(x98431,x98436)))+P104(f331(f331(f333(f884(f885(x98431,a871),f885(x98431,a871))),f331(f331(f265(f885(x98431,a871),f885(x98431,a871)),f331(f331(f114(f885(x98431,a871)),x98432),x98433)),f331(f331(f114(f885(x98431,a871)),x98434),x98435))),f323(x98431,x98436))) % 159.04/158.76 [5244]~E(f331(x52443,x52446),x52445)+~E(x52444,f331(f236(x52441),x52446))+E(f331(f331(f208(x52441,x52442),x52443),x52444),f331(f236(x52442),x52445)) % 159.04/158.76 [5658]~E(f331(f331(f126(x56581),x56586),x56583),x56585)+E(f331(f331(f126(x56581),x56582),x56583),f331(f331(f150(x56581),x56584),x56585))+~E(x56582,f331(f331(f150(x56581),x56584),x56586)) % 159.04/158.76 [5659]~E(f331(f331(f126(x56591),x56596),x56593),x56595)+E(f331(f331(f126(x56591),x56592),x56593),f331(f331(f126(x56591),x56594),x56595))+~E(x56592,f331(f331(f126(x56591),x56594),x56596)) % 159.04/158.76 [5661]E(f331(f331(f126(x56611),x56612),x56613),f331(f331(f150(x56611),x56614),x56615))+~E(f331(f331(f150(x56611),x56614),x56616),x56612)+~E(x56615,f331(f331(f126(x56611),x56616),x56613)) % 159.04/158.76 [5663]~E(f331(f331(f126(x56631),x56632),x56636),x56634)+E(f331(f331(f126(x56631),x56632),x56633),f331(f331(f126(x56631),x56634),x56635))+~E(x56633,f331(f331(f126(x56631),x56636),x56635)) % 159.04/158.76 [6791]E(f331(x67911,x67912),f331(x67913,x67912))+~E(f331(f331(f153(x67914,x67915),x67911),x67916),f331(f331(f153(x67914,x67915),x67913),x67916))+~P104(f331(f331(f333(x67914),x67912),f331(f172(x67914),x67916))) % 159.04/158.76 [7176]~P15(x71764,x71765,x71766,x71761)+E(f331(f331(x71761,x71762),x71763),f331(f331(f65(x71764,x71765,x71766),x71763),x71762))+~P104(f331(f62(x71764),x71762)) % 159.04/158.76 [7242]~E(x72422,f331(x72424,x72426))+~P104(f331(f331(f333(x72423),x72426),x72425))+P104(f331(f331(f333(x72421),x72422),f331(f309(x72423,x72421,x72424),x72425))) % 159.04/158.76 [7243]~E(f331(x72434,x72432),x72436)+~P104(f331(f331(f333(x72433),x72436),x72435))+P104(f331(f331(f333(x72431),x72432),f331(f310(x72431,x72433,x72434),x72435))) % 159.04/158.76 [7696]~P34(x76961,x76962,x76964,x76966)+P34(x76961,x76962,f331(f331(f150(x76961),x76963),x76964),f331(f331(f150(x76961),x76965),x76966))+~P104(f331(f331(x76962,x76963),x76965)) % 159.04/158.76 [8709]~P54(x87094,x87095,x87091,x87092,x87096)+E(f331(x87091,f331(x87092,x87093)),x87093)+~P104(f331(f331(f333(x87095),x87093),x87096)) % 159.04/158.76 [9515]E(x95151,x95152)+E(f331(f195(f877(x95153)),x95154),f331(f195(f877(x95153)),x95155))+~P104(f331(f331(f333(f884(f877(x95153),f877(x95153))),f331(f331(f265(f877(x95153),f877(x95153)),f331(f331(f150(x95153),x95151),x95154)),f331(f331(f150(x95153),x95152),x95155))),f144(x95153,x95156))) % 159.04/158.76 [9577]~P12(x95771,x95772,x95773)+E(f331(f331(f65(x95771,x95772,x95773),x95774),x95775),x95776)+~P104(f331(f67(x95771,x95772,x95773,x95774,x95775),x95776)) % 159.04/158.76 [9584]E(f331(f195(f877(x95841)),x95842),f331(f195(f877(x95841)),x95843))+P104(f331(f331(f333(f884(f877(x95841),f877(x95841))),f331(f331(f265(f877(x95841),f877(x95841)),x95842),x95843)),f144(x95841,x95844)))+~P104(f331(f331(f333(f884(f877(x95841),f877(x95841))),f331(f331(f265(f877(x95841),f877(x95841)),f331(f331(f150(x95841),x95845),x95842)),f331(f331(f150(x95841),x95846),x95843))),f144(x95841,x95844))) % 159.04/158.76 [9606]~P104(f331(f331(f333(f884(x96061,x96061)),f331(f331(f265(x96061,x96061),x96062),x96064)),f306(x96061,x96066)))+P104(f331(f331(f333(f884(f877(x96061),f877(x96061))),f331(f331(f265(f877(x96061),f877(x96061)),f331(f331(f150(x96061),x96062),x96063)),f331(f331(f150(x96061),x96064),x96065))),f306(f877(x96061),f156(x96061,x96066))))+~P104(f331(f331(f333(f884(f877(x96061),f877(x96061))),f331(f331(f265(f877(x96061),f877(x96061)),x96063),x96065)),f306(f877(x96061),f156(x96061,x96066)))) % 159.04/158.76 [9788]~P104(f331(x97882,x97886))+~E(f331(f135(x97881,x97882),x97883),f331(f331(f150(x97881),x97884),x97885))+~P104(f331(f331(f333(x97881),x97886),f331(f172(x97881),f733(x97885,x97884,x97883,x97882,x97881)))) % 159.04/158.76 [9789]~P104(f331(x97894,x97896))+~E(f331(f331(f150(x97891),x97892),x97893),f331(f135(x97891,x97894),x97895))+~P104(f331(f331(f333(x97891),x97896),f331(f172(x97891),f730(x97895,x97894,x97893,x97892,x97891)))) % 159.04/158.76 [10095]~P69(x100952)+E(f331(f331(f6(x100951,x100952),f331(f331(f8(f885(x100953,a871),x100952,x100951),f331(f6(x100953,x100952),x100954)),f331(f331(f8(f885(x100953,a871),f885(x100953,a871),x100951),f250(x100953)),f331(f331(f8(f885(x100953,a871),f885(x100953,a871),x100951),f331(f18(x100953,a871,a871),f331(f331(f8(a871,f885(a871,a871),x100953),a329),f331(f331(f7(x100953,f885(x100953,a871),a871),f333(x100953)),x100955)))),f331(f7(x100953,x100951,a871),f331(f331(f8(x100951,f885(x100951,a871),x100953),a328),x100956)))))),f331(f309(x100953,x100951,x100956),x100955)),f331(f331(f6(x100953,x100952),x100954),x100955))+~P104(f331(f62(x100953),x100955)) % 159.04/158.76 [6848]~P107(x68483)+P104(f331(x68482,x68485))+E(f331(f135(x68481,x68482),f331(f331(f147(x68481,x68483,x68484),x68485),x68486)),f331(f135(x68481,x68482),x68486)) % 159.04/158.76 [6850]P104(f331(x68501,x68502))+~E(f166(x68503,x68501,x68504),f331(f331(f265(f877(x68503),f877(x68503)),x68505),x68506))+~P104(f331(f331(f333(x68503),x68502),f331(f172(x68503),x68505))) % 159.04/158.76 [6894]~P104(f331(x68942,x68946))+~E(f166(x68941,x68942,x68943),f331(f331(f265(f877(x68941),f877(x68941)),x68944),x68945))+~P104(f331(f331(f333(x68941),x68946),f331(f172(x68941),x68945))) % 159.04/158.76 [7562]~P11(x75621,x75622,x75623)+~P104(f331(f62(x75621),x75626))+E(f331(f331(f65(x75621,x75622,x75623),x75624),f331(f331(f308(x75621),x75625),x75626)),f331(f331(f65(x75621,x75622,x75623),f331(f331(x75623,x75625),x75624)),x75626)) % 159.04/158.76 [7612]~P107(x76122)+~P104(f331(f331(f244(x76122),f331(x76123,x76124)),f331(x76123,x76125)))+E(f331(f331(f147(x76121,x76122,x76123),x76124),f331(f331(f150(x76121),x76125),x76126)),f331(f331(f150(x76121),x76124),f331(f331(f150(x76121),x76125),x76126))) % 159.04/158.76 [7727]E(x77271,x77272)+~E(f331(f331(f267(x77273,x77274),x77271),f331(f16(f885(x77274,a871),x77273),x77275)),f331(f331(f267(x77273,x77274),x77272),f331(f16(f885(x77274,a871),x77273),x77275)))+~P104(f331(f331(f333(x77274),x77276),x77275)) % 159.04/158.76 [7791]~P11(x77911,x77912,x77913)+~P104(f331(f62(x77911),x77916))+E(f331(f331(f65(x77911,x77912,x77913),x77914),f331(f331(f308(x77911),x77915),x77916)),f331(f331(x77913,x77915),f331(f331(f65(x77911,x77912,x77913),x77914),x77916))) % 159.04/158.76 [7907]~P12(x79071,x79072,x79073)+~P104(f331(f62(x79071),x79076))+E(f331(f331(f65(x79071,x79072,x79073),f331(f331(x79073,x79074),x79075)),x79076),f331(f331(x79073,x79074),f331(f331(f65(x79071,x79072,x79073),x79075),x79076))) % 159.04/158.76 [7976]~P16(x79762,x79765,x79766,x79761)+~P104(f331(f62(x79762),x79764))+E(f331(x79761,f331(f331(f308(x79762),x79763),x79764)),f331(f73(x79765,x79765,x79765,f331(x79761,x79764)),f331(x79766,x79763))) % 159.04/158.76 [8014]~P107(x80142)+P104(f331(f331(f244(x80142),f331(x80143,x80144)),f331(x80143,x80145)))+E(f331(f331(f147(x80141,x80142,x80143),x80144),f331(f331(f150(x80141),x80145),x80146)),f331(f331(f150(x80141),x80145),f331(f331(f147(x80141,x80142,x80143),x80144),x80146))) % 159.04/158.76 [8156]~E(f331(f195(f877(x81561)),x81565),f331(f195(f877(x81562)),x81566))+~E(f331(f195(f877(x81561)),x81563),f331(f195(f877(x81562)),x81564))+E(f331(f331(f126(f884(x81561,x81562)),f331(f331(f182(x81561,x81562),x81563),x81564)),f331(f331(f182(x81561,x81562),x81565),x81566)),f331(f331(f182(x81561,x81562),f331(f331(f126(x81561),x81563),x81565)),f331(f331(f126(x81562),x81564),x81566))) % 159.04/158.76 [8270]~E(x82702,f331(f309(x82703,x82701,x82704),x82706))+P104(f331(f331(f244(f885(x82701,a871)),x82702),f331(f309(x82703,x82701,x82704),x82705)))+~P104(f331(f331(f244(f885(x82703,a871)),x82706),x82705)) % 159.04/158.76 [8371]~P107(x83715)+E(f331(x83711,x83712),f331(x83711,x83713))+E(f331(f331(f147(x83714,x83715,x83711),x83712),f331(f331(f147(x83714,x83715,x83711),x83713),x83716)),f331(f331(f147(x83714,x83715,x83711),x83713),f331(f331(f147(x83714,x83715,x83711),x83712),x83716))) % 159.04/158.76 [8407]~P21(x84073,x84071,x84074,x84075)+P21(x84073,x84071,f331(f331(f331(f72(x84073,x84071),x84074),x84076),x84072),x84075)+P104(f331(f331(f333(x84071),x84072),f331(f309(x84073,x84071,x84074),x84075))) % 159.04/158.76 [8553]~P104(f331(f331(f333(x85532),x85534),f331(x85536,x85533)))+~P104(f331(f331(f333(x85531),x85533),x85535))+P104(f331(f331(f333(f884(x85531,x85532)),f331(f331(f265(x85531,x85532),x85533),x85534)),f331(f331(f267(x85531,x85532),x85535),x85536))) % 159.04/158.76 [9013]~P69(x90132)+~P21(x90134,x90131,x90135,x90136)+E(f331(f331(f6(x90131,x90132),x90133),f331(f309(x90134,x90131,x90135),x90136)),f331(f331(f6(x90134,x90132),f331(f73(x90131,x90132,x90134,x90133),x90135)),x90136)) % 159.04/158.76 [9014]~P68(x90142)+~P21(x90144,x90141,x90145,x90146)+E(f331(f331(f9(x90141,x90142),x90143),f331(f309(x90144,x90141,x90145),x90146)),f331(f331(f9(x90144,x90142),f331(f73(x90141,x90142,x90144,x90143),x90145)),x90146)) % 159.04/158.76 [9062]~P36(x90622,x90625,x90621,x90623,x90626)+P104(f331(f331(x90621,f331(f331(f164(x90622),x90623),x90624)),f331(f331(f164(x90625),x90626),x90624)))+~P104(f331(f331(f245(a876),x90624),f331(f195(f877(x90625)),x90626))) % 159.04/158.76 [9063]~P36(x90632,x90635,x90631,x90633,x90636)+P104(f331(f331(x90631,f331(f331(f164(x90632),x90633),x90634)),f331(f331(f164(x90635),x90636),x90634)))+~P104(f331(f331(f245(a876),x90634),f331(f195(f877(x90632)),x90633))) % 159.04/158.76 [9273]~P15(x92733,x92731,x92736,x92732)+~P104(f331(f62(x92733),x92734))+E(f331(f73(x92731,x92731,x92731,f331(x92732,f331(f331(f22(f885(x92733,a871)),x92734),f331(f331(f308(x92733),x92735),f194(f885(x92733,a871)))))),f331(x92736,x92735)),f331(x92732,f331(f331(f308(x92733),x92735),x92734))) % 159.04/158.76 [9881]~E(f331(f309(x98812,x98814,x98816),f253(f885(x98812,a871))),f253(f885(x98814,a871)))+~E(f331(f309(x98811,x98813,x98815),f253(f885(x98811,a871))),f253(f885(x98813,a871)))+E(f331(f309(f884(x98811,x98812),f884(x98813,x98814),f270(x98811,x98813,x98812,x98814,x98815,x98816)),f253(f885(f884(x98811,x98812),a871))),f253(f885(f884(x98813,x98814),a871))) % 159.04/158.76 [9929]~P21(x99293,x99294,x99295,f331(x99296,f705(x99296,x99295,x99294,x99293,x99292,x99291)))+P21(x99293,x99294,x99295,f331(f331(f43(x99292,f885(x99293,a871)),x99291),x99296))+E(x99291,f194(f885(x99292,a871))) % 159.04/158.76 [9987]P21(x99876,x99875,x99874,f331(f331(f43(x99872,f885(x99876,a871)),x99871),x99873))+E(x99871,f194(f885(x99872,a871)))+P104(f331(f331(f333(x99872),f705(x99873,x99874,x99875,x99876,x99872,x99871)),x99871)) % 159.04/158.76 [9992]P104(f331(f331(f333(x99921),f735(x99922,x99923,x99924,x99925,x99926,x99921)),x99926))+P104(f331(f331(f244(f885(f884(x99921,x99924),a871)),f331(f331(f267(x99921,x99924),x99926),x99923)),f331(f331(f267(x99921,x99924),x99925),x99922)))+~P104(f331(f331(f244(f885(x99921,a871)),x99926),x99925)) % 159.04/158.76 [10030]P20(x100306,x100305,f331(f331(f308(f875(x100306)),f331(f331(f331(f92(x100306),x100301),x100303),x100302)),f194(f885(f875(x100306),a871))))+~P20(x100306,x100305,f331(f331(f308(f875(x100306)),f331(f331(f331(f92(x100306),x100304),x100303),x100302)),f194(f885(f875(x100306),a871))))+P104(f331(f331(x100301,f786(x100301,x100302,x100303,x100304,x100305,x100306)),f831(x100301,x100302,x100303,x100304,x100305,x100306))) % 159.04/158.76 [10031]P20(x100316,x100315,f331(f331(f308(f875(x100316)),f331(f331(f331(f92(x100316),x100314),x100313),x100312)),f194(f885(f875(x100316),a871))))+~P20(x100316,x100315,f331(f331(f308(f875(x100316)),f331(f331(f331(f92(x100316),x100314),x100313),x100311)),f194(f885(f875(x100316),a871))))+P104(f331(f331(x100311,f842(x100312,x100311,x100313,x100314,x100315,x100316)),f851(x100312,x100311,x100313,x100314,x100315,x100316))) % 159.04/158.76 [10070]~P20(x100701,x100702,f331(f331(f308(f875(x100701)),f331(f331(f331(f92(x100701),x100703),x100704),x100706)),f194(f885(f875(x100701),a871))))+P20(x100701,x100702,f331(f331(f308(f875(x100701)),f331(f331(f331(f92(x100701),x100703),x100704),x100705)),f194(f885(f875(x100701),a871))))+~P104(f331(f331(x100705,f842(x100705,x100706,x100704,x100703,x100702,x100701)),f851(x100705,x100706,x100704,x100703,x100702,x100701))) % 159.04/158.76 [10071]~P20(x100711,x100712,f331(f331(f308(f875(x100711)),f331(f331(f331(f92(x100711),x100716),x100714),x100715)),f194(f885(f875(x100711),a871))))+P20(x100711,x100712,f331(f331(f308(f875(x100711)),f331(f331(f331(f92(x100711),x100713),x100714),x100715)),f194(f885(f875(x100711),a871))))+~P104(f331(f331(x100716,f786(x100713,x100715,x100714,x100716,x100712,x100711)),f831(x100713,x100715,x100714,x100716,x100712,x100711))) % 159.04/158.76 [10106]~P104(f331(f331(f244(f885(x101062,a871)),f331(x101064,f735(x101066,x101064,x101062,x101065,x101063,x101061))),f331(x101066,f735(x101066,x101064,x101062,x101065,x101063,x101061))))+~P104(f331(f331(f244(f885(x101061,a871)),x101063),x101065))+P104(f331(f331(f244(f885(f884(x101061,x101062),a871)),f331(f331(f267(x101061,x101062),x101063),x101064)),f331(f331(f267(x101061,x101062),x101065),x101066))) % 159.04/158.76 [7746]~P104(f331(x77461,x77465))+~P104(f331(x77466,x77464))+P104(f331(x77461,f331(f268(x77462,x77463),f331(f331(f265(x77462,x77463),x77464),x77465)))) % 159.04/158.76 [7747]~P104(f331(x77471,x77474))+~P104(f331(x77476,x77475))+P104(f331(x77471,f331(f264(x77472,x77473),f331(f331(f265(x77472,x77473),x77474),x77475)))) % 159.04/158.76 [7769]~E(f331(f195(f877(x77691)),x77693),f331(f195(f877(x77694)),x77695))+~E(f331(f331(f178(x77691,x77694),f331(f331(f182(x77691,x77694),x77693),x77695)),x77692),f331(f236(x77694),x77696))+P104(f331(f331(f333(x77691),x77692),f331(f172(x77691),x77693))) % 159.04/158.76 [7796]~P104(f331(f331(x77964,x77966),x77965))+~P104(f331(f331(f333(x77961),x77966),x77963))+P104(f331(f331(f331(f42(x77961,f885(x77962,a871)),x77963),x77964),x77965)) % 159.04/158.76 [8105]~P104(f331(f331(f333(x81051),x81052),f331(x81055,x81056)))+~P104(f331(f331(f333(x81053),x81056),x81054))+P104(f331(f331(f333(x81051),x81052),f331(f331(f42(x81053,f885(x81051,a871)),x81054),x81055))) % 159.04/158.76 [8148]P104(f331(f331(x81481,x81482),x81483))+~P104(f331(f331(x81484,x81482),x81483))+~P104(f331(f331(f244(f885(x81485,f885(x81486,a871))),x81484),x81481)) % 159.04/158.76 [8294]P104(f331(f331(x82941,x82942),x82943))+~P104(f331(f331(f333(x82944),x82942),x82945))+~P104(f331(f331(f331(f43(x82944,f885(x82946,a871)),x82945),x82941),x82943)) % 159.04/158.76 [8430]P104(f331(f331(f333(x84301),x84302),f331(x84303,x84304)))+~P104(f331(f331(f333(x84305),x84304),x84306))+~P104(f331(f331(f333(x84301),x84302),f331(f331(f43(x84305,f885(x84301,a871)),x84306),x84303))) % 159.04/158.76 [8622]~P104(f331(f331(f331(f331(a203,x86221),x86223),x86224),x86226))+~P104(f331(f331(f331(f331(a203,x86222),x86226),x86224),x86225))+P104(f331(f331(f331(f331(a203,f33(x86221,x86222)),x86223),x86224),x86225)) % 159.04/158.76 [8691]~P9(x86914,x86915,x86916,x86911)+E(f331(x86911,x86912),f331(x86911,x86913))+~P104(f331(f331(f333(f884(x86914,x86914)),f331(f331(f265(x86914,x86914),x86912),x86913)),x86916)) % 159.04/158.76 [8722]P104(f331(f331(f244(f885(x87221,a871)),x87222),f331(x87223,x87224)))+~P104(f331(f331(f333(x87225),x87224),x87226))+~P104(f331(f331(f244(f885(x87221,a871)),x87222),f331(f331(f43(x87225,f885(x87221,a871)),x87226),x87223))) % 159.04/158.76 [8750]~P52(x87503,x87504,f331(f285(x87504,x87503),x87505))+E(x87501,f194(f885(x87502,a871)))+E(f331(f331(f43(x87502,f885(x87503,a871)),x87501),f331(f331(f8(f885(x87504,a871),f885(x87503,a871),x87502),f284(x87504,x87503,x87505)),x87506)),f331(f284(x87504,x87503,x87505),f331(f331(f43(x87502,f885(x87504,a871)),x87501),x87506))) % 159.04/158.76 [8826]P104(f331(f331(f333(x88261),x88262),f331(f284(x88263,x88261,x88264),x88265)))+~P104(f331(f331(f333(x88263),x88266),x88265))+~P104(f331(f331(f333(f884(x88263,x88261)),f331(f331(f265(x88263,x88261),x88266),x88262)),x88264)) % 159.04/158.76 [8944]P104(f331(x89441,x89442))+~P104(f331(f331(f331(f331(a203,x89444),x89442),x89445),x89446))+P104(f331(f331(f331(f331(a203,f30(x89441,x89443,x89444)),x89442),x89445),x89446)) % 159.04/158.76 [8961]~P104(f331(x89611,x89614))+~P104(f331(f331(f331(f331(a203,x89612),x89614),x89615),x89616))+P104(f331(f331(f331(f331(a203,f30(x89611,x89612,x89613)),x89614),x89615),x89616)) % 159.04/158.76 [9135]P104(f331(f331(f244(f885(x91351,a871)),f331(f284(x91352,x91351,x91353),x91354)),f331(f284(x91352,x91351,x91355),x91356)))+~P104(f331(f331(f244(f885(x91352,a871)),x91354),x91356))+~P104(f331(f331(f244(f885(f884(x91352,x91351),a871)),x91353),x91355)) % 159.04/158.76 [9223]P104(f331(x92231,x92232))+P104(f331(f331(f331(f331(a203,x92233),x92232),x92234),x92235))+~P104(f331(f331(f331(f331(a203,f30(x92231,x92236,x92233)),x92232),x92234),x92235)) % 159.04/158.76 [9228]~P104(f331(x92285,x92282))+P104(f331(f331(f331(f331(a203,x92281),x92282),x92283),x92284))+~P104(f331(f331(f331(f331(a203,f30(x92285,x92281,x92286)),x92282),x92283),x92284)) % 159.04/158.76 [9280]P104(f331(f331(f331(f331(a203,x92801),x92802),x92803),x92804))+P104(f331(f331(f331(f331(a203,x92805),x92802),x92803),x92804))+~P104(f331(f331(f331(f331(a203,f30(x92806,x92801,x92805)),x92802),x92803),x92804)) % 159.04/158.76 [9322]~P104(f331(f331(f333(x93222),x93226),x93224))+~P104(f331(f331(f244(f885(x93221,a871)),x93223),x93225))+P104(f331(f331(f244(f885(f884(x93221,x93222),a871)),f331(f331(f267(x93221,x93222),x93223),f331(f16(f885(x93222,a871),x93221),x93224))),f331(f331(f267(x93221,x93222),x93225),f331(f16(f885(x93222,a871),x93221),x93224)))) % 159.04/158.76 [9335]~P36(x93351,x93352,x93353,x93355,x93356)+P104(f331(f331(f269(x93351,x93352,a871),x93353),x93354))+~P104(f331(f331(f333(f884(x93351,x93352)),x93354),f331(f172(f884(x93351,x93352)),f331(f331(f182(x93351,x93352),x93355),x93356)))) % 159.04/158.76 [9469]~E(x94693,x94695)+P104(f331(f331(f333(f884(f877(x94691),f877(x94691))),f331(f331(f265(f877(x94691),f877(x94691)),f331(f331(f150(x94691),x94692),x94693)),f331(f331(f150(x94691),x94694),x94695))),f156(x94691,x94696)))+~P104(f331(f331(f333(f884(x94691,x94691)),f331(f331(f265(x94691,x94691),x94692),x94694)),x94696)) % 159.04/158.76 [9475]~E(f331(f195(f877(x94751)),x94755),f331(f195(f877(x94752)),x94756))+E(f187(x94751,x94752,f188(x94751,x94752,x94753,f331(f331(f22(f885(x94751,a871)),x94754),f331(f172(x94751),x94755))),x94755,x94756),f188(x94751,x94752,f187(x94751,x94752,x94753,x94755,x94756),x94754))+~P104(f331(f331(f244(f885(x94751,a871)),f331(f172(x94751),x94755)),x94754)) % 159.04/158.76 [9476]~E(f331(f195(f877(x94761)),x94763),f331(f195(f877(x94761)),x94765))+P104(f331(f331(f333(f884(f877(x94761),f877(x94761))),f331(f331(f265(f877(x94761),f877(x94761)),f331(f331(f150(x94761),x94762),x94763)),f331(f331(f150(x94761),x94764),x94765))),f144(x94761,x94766)))+~P104(f331(f331(f333(f884(x94761,x94761)),f331(f331(f265(x94761,x94761),x94762),x94764)),x94766)) % 159.04/158.76 [9506]P104(f331(f331(f333(f884(x95061,x95061)),f331(f331(f265(x95061,x95061),x95062),x95063)),f331(f331(f189(f884(x95061,x95061),a871),f331(a116,x95064)),x95065)))+~P104(f331(f331(f333(f884(x95061,x95061)),f331(f331(f265(x95061,x95061),x95066),x95063)),x95065))+~P104(f331(f331(f333(f884(x95061,x95061)),f331(f331(f265(x95061,x95061),x95062),x95066)),f331(f331(f189(f884(x95061,x95061),a871),x95064),x95065))) % 159.04/158.76 [9507]P104(f331(f331(f333(f884(x95071,x95071)),f331(f331(f265(x95071,x95071),x95072),x95073)),f331(f331(f189(f884(x95071,x95071),a871),f331(a116,x95074)),x95075)))+~P104(f331(f331(f333(f884(x95071,x95071)),f331(f331(f265(x95071,x95071),x95072),x95076)),x95075))+~P104(f331(f331(f333(f884(x95071,x95071)),f331(f331(f265(x95071,x95071),x95076),x95073)),f331(f331(f189(f884(x95071,x95071),a871),x95074),x95075))) % 159.04/158.76 [9511]~P104(f331(f331(f333(x95114),x95115),x95116))+P104(f331(f331(f244(f885(x95111,a871)),x95112),x95113))+~P104(f331(f331(f244(f885(f884(x95111,x95114),a871)),f331(f331(f267(x95111,x95114),x95112),f331(f16(f885(x95114,a871),x95111),x95116))),f331(f331(f267(x95111,x95114),x95113),f331(f16(f885(x95114,a871),x95111),x95116)))) % 159.04/158.76 [9555]E(x95551,x95552)+~P104(f331(f331(f333(f884(f877(x95553),f877(x95553))),f331(f331(f265(f877(x95553),f877(x95553)),f331(f331(f150(x95553),x95551),x95555)),f331(f331(f150(x95553),x95552),x95556))),f146(x95553,x95554)))+P104(f331(f331(f333(f884(x95553,x95553)),f331(f331(f265(x95553,x95553),x95551),x95552)),x95554)) % 159.04/158.76 [9556]E(x95561,x95562)+~P104(f331(f331(f333(f884(f877(x95563),f877(x95563))),f331(f331(f265(f877(x95563),f877(x95563)),f331(f331(f150(x95563),x95561),x95565)),f331(f331(f150(x95563),x95562),x95566))),f144(x95563,x95564)))+P104(f331(f331(f333(f884(x95563,x95563)),f331(f331(f265(x95563,x95563),x95561),x95562)),x95564)) % 159.04/158.76 [9557]E(x95571,x95572)+~P104(f331(f331(f333(f884(f877(x95573),f877(x95573))),f331(f331(f265(f877(x95573),f877(x95573)),f331(f331(f150(x95573),x95571),x95575)),f331(f331(f150(x95573),x95572),x95576))),f156(x95573,x95574)))+P104(f331(f331(f333(f884(x95573,x95573)),f331(f331(f265(x95573,x95573),x95571),x95572)),x95574)) % 159.04/158.76 [9592]P104(f331(f331(f333(f884(f877(x95921),f877(x95921))),f331(f331(f265(f877(x95921),f877(x95921)),f331(f331(f150(x95921),x95922),x95923)),f331(f331(f150(x95921),x95924),x95925))),f157(x95921,x95926)))+~P104(f331(f331(f333(f884(f877(x95921),f877(x95921))),f331(f331(f265(f877(x95921),f877(x95921)),x95923),x95925)),f157(x95921,x95926)))+~P104(f331(f331(f333(f884(x95921,x95921)),f331(f331(f265(x95921,x95921),x95922),x95924)),x95926)) % 159.04/158.76 [9610]P104(f331(x96101,x96102))+~P104(f331(x96101,f489(x96101,x96103,x96104,x96105,x96106)))+~P104(f331(f331(f333(x96106),x96102),f331(f331(f42(x96105,f885(x96106,a871)),x96104),x96103))) % 159.04/158.76 [9615]~P104(f331(f331(f333(f884(f877(x96151),f877(x96151))),f331(f331(f265(f877(x96151),f877(x96151)),f331(f331(f150(x96151),x96152),x96155)),f331(f331(f150(x96151),x96153),x96156))),f146(x96151,x96154)))+P104(f331(f331(f333(f884(f877(x96151),f877(x96151))),f331(f331(f265(f877(x96151),f877(x96151)),x96155),x96156)),f146(x96151,x96154)))+P104(f331(f331(f333(f884(x96151,x96151)),f331(f331(f265(x96151,x96151),x96152),x96153)),x96154)) % 159.04/158.76 [9616]~P104(f331(f331(f333(f884(f877(x96161),f877(x96161))),f331(f331(f265(f877(x96161),f877(x96161)),f331(f331(f150(x96161),x96162),x96165)),f331(f331(f150(x96161),x96163),x96166))),f144(x96161,x96164)))+P104(f331(f331(f333(f884(f877(x96161),f877(x96161))),f331(f331(f265(f877(x96161),f877(x96161)),x96165),x96166)),f144(x96161,x96164)))+P104(f331(f331(f333(f884(x96161,x96161)),f331(f331(f265(x96161,x96161),x96162),x96163)),x96164)) % 159.04/158.76 [9617]~P104(f331(f331(f333(f884(f877(x96171),f877(x96171))),f331(f331(f265(f877(x96171),f877(x96171)),f331(f331(f150(x96171),x96172),x96175)),f331(f331(f150(x96171),x96173),x96176))),f156(x96171,x96174)))+P104(f331(f331(f333(f884(f877(x96171),f877(x96171))),f331(f331(f265(f877(x96171),f877(x96171)),x96175),x96176)),f156(x96171,x96174)))+P104(f331(f331(f333(f884(x96171,x96171)),f331(f331(f265(x96171,x96171),x96172),x96173)),x96174)) % 159.04/158.76 [9700]P104(f331(x97001,x97002))+P104(f331(f331(f333(x97003),f490(x97001,x97004,x97005,x97003,x97006)),x97005))+~P104(f331(f331(f333(x97006),x97002),f331(f331(f42(x97003,f885(x97006,a871)),x97005),x97004))) % 159.04/158.76 [9711]~E(x97112,x97114)+P104(f331(f331(f333(f884(f877(x97111),f877(x97111))),f331(f331(f265(f877(x97111),f877(x97111)),f331(f331(f126(x97111),x97112),f331(f331(f150(x97111),x97113),f117(x97111)))),f331(f331(f126(x97111),x97114),f331(f331(f150(x97111),x97115),f117(x97111))))),f156(x97111,x97116)))+~P104(f331(f331(f333(f884(x97111,x97111)),f331(f331(f265(x97111,x97111),x97113),x97115)),x97116)) % 159.04/158.76 [9798]E(x97981,x97982)+~P104(f331(f331(f333(f884(f877(x97983),f877(x97983))),f331(f331(f265(f877(x97983),f877(x97983)),f331(f331(f126(x97983),x97985),f331(f331(f150(x97983),x97981),f117(x97983)))),f331(f331(f126(x97983),x97986),f331(f331(f150(x97983),x97982),f117(x97983))))),f156(x97983,x97984)))+P104(f331(f331(f333(f884(x97983,x97983)),f331(f331(f265(x97983,x97983),x97981),x97982)),x97984)) % 159.04/158.76 [9826]~P104(f331(f331(f333(f884(f877(x98261),f877(x98261))),f331(f331(f265(f877(x98261),f877(x98261)),f331(f331(f126(x98261),x98265),f331(f331(f150(x98261),x98262),f117(x98261)))),f331(f331(f126(x98261),x98266),f331(f331(f150(x98261),x98263),f117(x98261))))),f156(x98261,x98264)))+P104(f331(f331(f333(f884(f877(x98261),f877(x98261))),f331(f331(f265(f877(x98261),f877(x98261)),x98265),x98266)),f156(x98261,x98264)))+P104(f331(f331(f333(f884(x98261,x98261)),f331(f331(f265(x98261,x98261),x98262),x98263)),x98264)) % 159.04/158.76 [9844]P104(f331(x98441,x98442))+P104(f331(f331(f333(x98443),f489(x98441,x98444,x98445,x98446,x98443)),f331(x98444,f490(x98441,x98444,x98445,x98446,x98443))))+~P104(f331(f331(f333(x98443),x98442),f331(f331(f42(x98446,f885(x98443,a871)),x98445),x98444))) % 159.04/158.76 [8841]~P12(x88413,x88414,x88411)+~P104(f331(f62(x88413),x88416))+E(f331(f331(x88411,x88412),f331(f331(f65(x88413,x88414,x88411),x88415),f331(f331(f22(f885(x88413,a871)),x88416),f331(f331(f308(x88413),x88412),f194(f885(x88413,a871)))))),f331(f331(f65(x88413,x88414,x88411),x88415),f331(f331(f308(x88413),x88412),x88416))) % 159.04/158.76 [8927]~E(f331(f331(f178(x89271,x89272),x89274),x89275),f331(f236(x89272),x89276))+~P104(f331(f331(x89273,x89275),x89276))+E(f331(f331(f178(x89271,x89272),f331(f135(f884(x89271,x89272),f331(f269(x89271,x89272,a871),x89273)),x89274)),x89275),f331(f236(x89272),x89276)) % 159.04/158.76 [9142]~P104(f331(f331(f333(x91425),x91423),x91426))+P104(f331(f331(f244(f885(x91421,a871)),f331(x91422,x91423)),x91424))+~P104(f331(f331(f244(f885(x91421,a871)),f331(f331(f42(x91425,f885(x91421,a871)),x91426),x91422)),x91424)) % 159.04/158.76 [9771]~P3(x97711,x97715,x97714)+P104(f331(f331(f333(f884(x97711,x97711)),f331(f331(f265(x97711,x97711),x97712),x97713)),x97714))+~P104(f331(f331(f333(x97711),x97716),f331(f331(f105(f885(x97711,a871)),f331(f284(x97711,x97711,x97714),f331(f331(f308(x97711),x97712),f194(f885(x97711,a871))))),f331(f284(x97711,x97711,x97714),f331(f331(f308(x97711),x97713),f194(f885(x97711,a871))))))) % 159.04/158.76 [8589]~P118(x85892)+~E(f331(f331(f80(x85892),f331(f331(f81(x85892),x85894),x85895)),x85891),f331(f331(f80(x85892),f331(f331(f81(x85892),x85893),x85895)),x85896))+E(x85891,f331(f331(f80(x85892),f331(f331(f81(x85892),f331(f331(f22(x85892),x85893),x85894)),x85895)),x85896)) % 159.04/158.76 [8590]~P118(x85901)+~E(f331(f331(f80(x85901),f331(f331(f81(x85901),x85902),x85904)),x85905),f331(f331(f80(x85901),f331(f331(f81(x85901),x85903),x85904)),x85906))+E(f331(f331(f80(x85901),f331(f331(f81(x85901),f331(f331(f22(x85901),x85902),x85903)),x85904)),x85905),x85906) % 159.04/158.76 [8753]~P118(x87531)+E(f331(f331(f80(x87531),f331(f331(f81(x87531),x87532),x87533)),x87534),f331(f331(f80(x87531),f331(f331(f81(x87531),x87535),x87533)),x87536))+~E(x87536,f331(f331(f80(x87531),f331(f331(f81(x87531),f331(f331(f22(x87531),x87532),x87535)),x87533)),x87534)) % 159.04/158.76 [8754]~P118(x87541)+E(f331(f331(f80(x87541),f331(f331(f81(x87541),x87542),x87543)),x87544),f331(f331(f80(x87541),f331(f331(f81(x87541),x87545),x87543)),x87546))+~E(f331(f331(f80(x87541),f331(f331(f81(x87541),f331(f331(f22(x87541),x87542),x87545)),x87543)),x87544),x87546) % 159.04/158.76 [9082]~P104(f331(f331(x90824,x90825),x90826))+~P104(f331(f331(x90823,x90825),x90826))+P104(f331(f331(f331(f331(f105(f885(x90821,f885(x90822,a871))),x90823),x90824),x90825),x90826)) % 159.04/158.76 [9343]P104(f331(f331(x93431,x93432),x93433))+P104(f331(f331(x93434,x93432),x93433))+~P104(f331(f331(f331(f331(f114(f885(x93435,f885(x93436,a871))),x93434),x93431),x93432),x93433)) % 159.04/158.76 [9630]~P125(x96301)+~P104(f331(f331(f244(x96301),f331(f331(f80(x96301),f331(f331(f81(x96301),x96304),x96305)),x96302)),f331(f331(f80(x96301),f331(f331(f81(x96301),x96303),x96305)),x96306)))+P104(f331(f331(f244(x96301),x96302),f331(f331(f80(x96301),f331(f331(f81(x96301),f331(f331(f22(x96301),x96303),x96304)),x96305)),x96306))) % 159.04/158.76 [9631]~P125(x96311)+~P104(f331(f331(f245(x96311),f331(f331(f80(x96311),f331(f331(f81(x96311),x96314),x96315)),x96312)),f331(f331(f80(x96311),f331(f331(f81(x96311),x96313),x96315)),x96316)))+P104(f331(f331(f245(x96311),x96312),f331(f331(f80(x96311),f331(f331(f81(x96311),f331(f331(f22(x96311),x96313),x96314)),x96315)),x96316))) % 159.04/158.76 [9654]~P125(x96541)+P104(f331(f331(f244(x96541),f331(f331(f80(x96541),f331(f331(f81(x96541),x96542),x96543)),x96544)),f331(f331(f80(x96541),f331(f331(f81(x96541),x96545),x96543)),x96546)))+~P104(f331(f331(f244(x96541),x96544),f331(f331(f80(x96541),f331(f331(f81(x96541),f331(f331(f22(x96541),x96545),x96542)),x96543)),x96546))) % 159.04/158.76 [9655]~P125(x96551)+P104(f331(f331(f245(x96551),f331(f331(f80(x96551),f331(f331(f81(x96551),x96552),x96553)),x96554)),f331(f331(f80(x96551),f331(f331(f81(x96551),x96555),x96553)),x96556)))+~P104(f331(f331(f245(x96551),x96554),f331(f331(f80(x96551),f331(f331(f81(x96551),f331(f331(f22(x96551),x96555),x96552)),x96553)),x96556))) % 159.04/158.76 [9759]~P125(x97591)+~P104(f331(f331(f244(x97591),f331(f331(f80(x97591),f331(f331(f81(x97591),x97592),x97594)),x97595)),f331(f331(f80(x97591),f331(f331(f81(x97591),x97593),x97594)),x97596)))+P104(f331(f331(f244(x97591),f331(f331(f80(x97591),f331(f331(f81(x97591),f331(f331(f22(x97591),x97592),x97593)),x97594)),x97595)),x97596)) % 159.04/158.76 [9760]~P125(x97601)+~P104(f331(f331(f245(x97601),f331(f331(f80(x97601),f331(f331(f81(x97601),x97602),x97604)),x97605)),f331(f331(f80(x97601),f331(f331(f81(x97601),x97603),x97604)),x97606)))+P104(f331(f331(f245(x97601),f331(f331(f80(x97601),f331(f331(f81(x97601),f331(f331(f22(x97601),x97602),x97603)),x97604)),x97605)),x97606)) % 159.04/158.76 [9809]~P125(x98091)+P104(f331(f331(f244(x98091),f331(f331(f80(x98091),f331(f331(f81(x98091),x98092),x98093)),x98094)),f331(f331(f80(x98091),f331(f331(f81(x98091),x98095),x98093)),x98096)))+~P104(f331(f331(f244(x98091),f331(f331(f80(x98091),f331(f331(f81(x98091),f331(f331(f22(x98091),x98092),x98095)),x98093)),x98094)),x98096)) % 159.04/158.76 [9810]~P125(x98101)+P104(f331(f331(f245(x98101),f331(f331(f80(x98101),f331(f331(f81(x98101),x98102),x98103)),x98104)),f331(f331(f80(x98101),f331(f331(f81(x98101),x98105),x98103)),x98106)))+~P104(f331(f331(f245(x98101),f331(f331(f80(x98101),f331(f331(f81(x98101),f331(f331(f22(x98101),x98102),x98105)),x98103)),x98104)),x98106)) % 159.04/158.76 [9981]~P69(x99812)+~P104(f331(f62(x99811),x99816))+E(f331(f331(f6(x99811,x99812),f331(f331(f18(x99811,x99812,x99812),f331(f331(f18(x99811,x99812,f885(x99812,x99812)),f331(f331(f8(a871,f885(x99812,f885(x99812,x99812)),x99811),f100(x99812)),x99813)),x99814)),x99815)),x99816),f331(f331(f80(x99812),f331(f331(f6(x99811,x99812),x99814),f331(f331(f105(f885(x99811,a871)),x99816),f331(f250(x99811),x99813)))),f331(f331(f6(x99811,x99812),x99815),f331(f331(f105(f885(x99811,a871)),x99816),f331(f79(f885(x99811,a871)),f331(f250(x99811),x99813)))))) % 159.04/158.76 [10040]P104(f331(f331(f333(x100402),x100404),x100406))+P104(f331(f331(f333(x100402),x100405),x100406))+E(f331(f310(x100401,x100402,f331(f331(f7(x100401,x100402,x100402),f331(f331(f7(x100401,x100402,f885(x100402,x100402)),f331(f331(f8(a871,f885(x100402,f885(x100402,x100402)),x100401),f100(x100402)),f331(f331(f7(x100401,f885(x100401,a871),a871),f333(x100401)),x100403))),x100404)),x100405)),x100406),f194(f885(x100401,a871))) % 159.04/158.76 [10041]P104(f331(f331(f333(x100412),x100415),x100416))+~P104(f331(f331(f333(x100412),x100414),x100416))+E(f331(f310(x100411,x100412,f331(f331(f7(x100411,x100412,x100412),f331(f331(f7(x100411,x100412,f885(x100412,x100412)),f331(f331(f8(a871,f885(x100412,f885(x100412,x100412)),x100411),f100(x100412)),f331(f331(f7(x100411,f885(x100411,a871),a871),f333(x100411)),x100413))),x100414)),x100415)),x100416),x100413) % 159.04/158.76 [10042]P104(f331(f331(f333(x100422),x100424),x100426))+~P104(f331(f331(f333(x100422),x100425),x100426))+E(f331(f310(x100421,x100422,f331(f331(f7(x100421,x100422,x100422),f331(f331(f7(x100421,x100422,f885(x100422,x100422)),f331(f331(f8(a871,f885(x100422,f885(x100422,x100422)),x100421),f100(x100422)),f331(f331(f7(x100421,f885(x100421,a871),a871),f333(x100421)),x100423))),x100424)),x100425)),x100426),f331(f79(f885(x100421,a871)),x100423)) % 159.04/158.76 [10043]~P104(f331(f331(f333(x100432),x100434),x100436))+~P104(f331(f331(f333(x100432),x100435),x100436))+E(f331(f310(x100431,x100432,f331(f331(f7(x100431,x100432,x100432),f331(f331(f7(x100431,x100432,f885(x100432,x100432)),f331(f331(f8(a871,f885(x100432,f885(x100432,x100432)),x100431),f100(x100432)),f331(f331(f7(x100431,f885(x100431,a871),a871),f333(x100431)),x100433))),x100434)),x100435)),x100436),f253(f885(x100431,a871))) % 159.04/158.76 [10172]P20(x101721,x101722,f331(f331(f308(f875(x101721)),f331(f331(f331(f92(x101721),f331(x101723,x101724)),f331(a28,x101724)),f331(x101725,x101724))),f194(f885(f875(x101721),a871))))+~P104(f331(f331(f333(a874),x101724),x101726))+~P20(x101721,f331(f331(f114(f885(f875(x101721),a871)),x101722),f331(f309(a874,f875(x101721),f331(f331(f18(a874,f885(x101721,f885(a872,a871)),f875(x101721)),f331(f331(f18(a874,a873,f885(f885(x101721,f885(a872,a871)),f875(x101721))),f331(f331(f8(f885(x101721,f885(a872,a871)),f885(a873,f885(f885(x101721,f885(a872,a871)),f875(x101721))),a874),f92(x101721)),x101723)),a28)),x101725)),x101726)),f331(f309(a874,f875(x101721),f331(f331(f18(a874,f885(x101721,f885(a872,a871)),f875(x101721)),f331(f331(f18(a874,a873,f885(f885(x101721,f885(a872,a871)),f875(x101721))),f331(f331(f8(f885(x101721,f885(a872,a871)),f885(a873,f885(f885(x101721,f885(a872,a871)),f875(x101721))),a874),f92(x101721)),x101723)),f331(f331(f8(f880(a873),a873,a874),f241(a873)),a26))),x101725)),x101726)) % 159.04/158.76 [8619]E(x86191,x86192)+~P54(x86194,x86195,x86193,x86196,x86197)+~E(f331(x86193,x86191),f331(x86193,x86192)) % 159.04/158.76 [7002]E(f331(f239(f880(x70021),x70022,f197(x70021),x70023),f331(x70024,x70025)),f331(f236(x70021),x70026))+~E(f331(x70024,x70025),f331(f236(x70022),x70027))+~E(f331(x70023,x70027),f331(f236(x70021),x70026)) % 159.04/158.76 [8647]~P6(x86476,x86475,x86477,x86474,x86471)+E(f331(f331(x86471,x86472),x86473),x86474)+P104(f331(f62(x86475),x86473)) % 159.04/158.76 [9496]P43(x94961,x94962,x94963,x94964,x94965,f331(f331(x94963,x94966),x94967))+~E(f331(f331(x94963,x94966),x94967),x94964)+~E(x94965,f194(f885(x94961,a871))) % 159.04/158.76 [9676]~P104(f331(x96766,x96763))+~P104(f331(f331(f333(f884(x96762,x96762)),f331(f331(f265(x96762,x96762),x96764),x96765)),f331(x96767,x96763)))+P104(f331(f331(f333(f884(f884(x96761,x96762),f884(x96761,x96762))),f331(f331(f265(f884(x96761,x96762),f884(x96761,x96762)),f331(f331(f265(x96761,x96762),x96763),x96764)),f331(f331(f265(x96761,x96762),x96763),x96765))),f282(x96761,x96762,x96766,x96767))) % 159.04/158.76 [10097]~P43(x100972,x100977,x100973,x100976,x100971,f331(f331(x100973,x100975),x100974))+E(f331(f331(x100973,f774(x100974,x100975,x100971,x100976,x100973,x100977,x100972)),f787(x100974,x100975,x100971,x100976,x100973,x100977,x100972)),f331(f331(x100973,x100975),x100974))+E(x100971,f194(f885(x100972,a871))) % 159.04/158.76 [10098]~P43(x100987,x100986,x100981,x100984,x100985,f331(f331(x100981,x100982),x100983))+E(f331(f331(x100981,f774(x100983,x100982,x100985,x100984,x100981,x100986,x100987)),f787(x100983,x100982,x100985,x100984,x100981,x100986,x100987)),f331(f331(x100981,x100982),x100983))+E(f331(f331(x100981,x100982),x100983),x100984) % 159.04/158.76 [9180]~P36(x91801,x91802,x91803,x91805,x91807)+P36(x91801,x91802,x91803,f331(f331(f150(x91801),x91804),x91805),f331(f331(f150(x91802),x91806),x91807))+~P104(f331(f331(x91803,x91804),x91806)) % 159.04/158.76 [9198]P36(x91981,x91982,x91983,x91984,x91985)+~P36(x91981,x91982,x91983,f331(f331(f126(x91981),x91986),x91984),f331(f331(f126(x91982),x91987),x91985))+~E(f331(f195(f877(x91981)),x91986),f331(f195(f877(x91982)),x91987)) % 159.04/158.76 [9199]P36(x91991,x91992,x91993,x91994,x91995)+~P36(x91991,x91992,x91993,f331(f331(f126(x91991),x91994),x91996),f331(f331(f126(x91992),x91995),x91997))+~E(f331(f195(f877(x91991)),x91994),f331(f195(f877(x91992)),x91995)) % 159.04/158.76 [9406]~P36(x94061,x94062,x94063,x94065,x94067)+~P36(x94061,x94062,x94063,x94064,x94066)+P36(x94061,x94062,x94063,f331(f331(f126(x94061),x94064),x94065),f331(f331(f126(x94062),x94066),x94067)) % 159.04/158.76 [9748]~P104(f331(f67(x97481,x97484,x97485,x97486,x97483),x97487))+P104(f331(f67(x97481,x97484,x97485,x97486,f331(f331(f308(x97481),x97482),x97483)),f331(f331(x97485,x97482),x97487)))+P104(f331(f331(f333(x97481),x97482),x97483)) % 159.04/158.76 [9879]~P21(x98793,x98791,x98794,f253(f885(x98793,a871)))+E(f331(f331(f178(x98791,x98792),f331(f331(f153(f884(x98793,x98792),f884(x98791,x98792)),f331(f269(x98793,x98792,f884(x98791,x98792)),f331(f331(f8(x98791,f885(x98792,f884(x98791,x98792)),x98793),f265(x98791,x98792)),x98794))),x98795)),f331(x98794,x98796)),f331(f236(x98792),x98797))+~E(f331(f331(f178(x98793,x98792),x98795),x98796),f331(f236(x98792),x98797)) % 159.04/158.76 [10118]~P43(x101182,x101187,x101186,x101185,x101181,f331(f331(x101186,x101184),x101183))+E(x101181,f194(f885(x101182,a871)))+P104(f331(f331(f333(x101182),f774(x101183,x101184,x101181,x101185,x101186,x101187,x101182)),x101181)) % 159.04/158.76 [10119]~P43(x101195,x101197,x101191,x101194,x101196,f331(f331(x101191,x101192),x101193))+E(f331(f331(x101191,x101192),x101193),x101194)+P104(f331(f331(f333(x101195),f774(x101193,x101192,x101196,x101194,x101191,x101197,x101195)),x101196)) % 159.04/158.76 [6790]~E(x67905,x67907)+~E(x67906,x67904)+E(f331(f331(f331(f331(f72(x67901,f880(x67902)),x67903),x67904),f331(f236(x67902),x67905)),x67906),f331(f236(x67902),x67907)) % 159.04/158.76 [6918]E(x69181,x69182)+~E(f331(x69185,x69181),f331(f236(x69184),x69187))+E(f331(f331(f331(f331(f72(x69183,f880(x69184)),x69185),x69182),f331(f236(x69184),x69186)),x69181),f331(f236(x69184),x69187)) % 159.04/158.76 [7637]E(x76371,x76372)+~E(x76373,x76374)+~E(f331(f331(f331(f331(f72(x76375,f880(x76376)),x76377),x76374),f331(f236(x76376),x76371)),x76373),f331(f236(x76376),x76372)) % 159.04/158.76 [7702]E(x77021,x77022)+E(f331(x77023,x77024),f331(f236(x77025),x77021))+~E(f331(f331(f331(f331(f72(x77026,f880(x77025)),x77023),x77027),f331(f236(x77025),x77022)),x77024),f331(f236(x77025),x77021)) % 159.04/158.76 [7703]E(x77031,x77032)+E(f331(x77033,x77031),f331(f236(x77034),x77035))+~E(f331(f331(f331(f331(f72(x77036,f880(x77034)),x77033),x77032),f331(f236(x77034),x77037)),x77031),f331(f236(x77034),x77035)) % 159.04/158.76 [8866]~P17(x88664,x88665,x88666,x88667,x88661)+~P104(f331(f62(x88665),x88663))+E(f331(f331(x88661,x88662),x88663),f331(f331(f331(f66(x88664,x88665,x88666),x88662),x88667),x88663)) % 159.04/158.76 [8867]~P6(x88674,x88675,x88676,x88677,x88671)+~P104(f331(f62(x88675),x88673))+E(f331(f331(x88671,x88672),x88673),f331(f331(f331(f66(x88674,x88675,x88676),x88672),x88677),x88673)) % 159.04/158.76 [9462]~P20(x94621,x94622,f331(f331(f308(f875(x94621)),f331(f331(f331(f92(x94621),x94623),x94624),x94627)),f194(f885(f875(x94621),a871))))+P20(x94621,x94622,f331(f331(f308(f875(x94621)),f331(f331(f331(f92(x94621),x94623),f33(x94624,x94625)),x94626)),f194(f885(f875(x94621),a871))))+~P20(x94621,x94622,f331(f331(f308(f875(x94621)),f331(f331(f331(f92(x94621),x94627),x94625),x94626)),f194(f885(f875(x94621),a871)))) % 159.04/158.76 [9649]~P19(x96493,x96494,x96495,x96497,x96496,x96491)+~P104(f331(f62(x96494),x96492))+E(f331(x96491,x96492),f331(f331(f331(f66(x96493,x96494,x96495),x96496),x96497),x96492)) % 159.04/158.76 [9804]P43(x98041,x98042,x98043,x98044,x98045,f331(f331(x98043,x98046),x98047))+~P43(x98041,x98042,x98043,x98044,f331(f331(f22(f885(x98041,a871)),x98045),f331(f331(f308(x98041),x98046),f194(f885(x98041,a871)))),x98047)+~P104(f331(f331(f333(x98041),x98046),x98045)) % 159.04/158.76 [10072]~P20(x100721,x100722,f331(f331(f308(f875(x100721)),f331(f331(f331(f92(x100721),f95(x100721,x100723,x100724)),x100725),x100727)),f194(f885(f875(x100721),a871))))+P20(x100721,x100722,f331(f331(f308(f875(x100721)),f331(f331(f331(f92(x100721),x100723),f30(x100724,x100725,x100726)),x100727)),f194(f885(f875(x100721),a871))))+~P20(x100721,x100722,f331(f331(f308(f875(x100721)),f331(f331(f331(f92(x100721),f95(x100721,x100723,f331(f73(a871,a871,a872,a326),x100724))),x100726),x100727)),f194(f885(f875(x100721),a871)))) % 159.04/158.76 [10143]~P43(x101432,x101433,x101434,x101435,x101431,f331(f331(x101434,x101437),x101436))+P43(x101432,x101433,x101434,x101435,f331(f331(f22(f885(x101432,a871)),x101431),f331(f331(f308(x101432),f774(x101436,x101437,x101431,x101435,x101434,x101433,x101432)),f194(f885(x101432,a871)))),f787(x101436,x101437,x101431,x101435,x101434,x101433,x101432))+E(x101431,f194(f885(x101432,a871))) % 159.04/158.76 [10144]~P43(x101445,x101446,x101441,x101444,x101447,f331(f331(x101441,x101442),x101443))+P43(x101445,x101446,x101441,x101444,f331(f331(f22(f885(x101445,a871)),x101447),f331(f331(f308(x101445),f774(x101443,x101442,x101447,x101444,x101441,x101446,x101445)),f194(f885(x101445,a871)))),f787(x101443,x101442,x101447,x101444,x101441,x101446,x101445))+E(f331(f331(x101441,x101442),x101443),x101444) % 159.04/158.76 [9187]E(f187(x91871,x91872,x91873,x91874,f331(f331(f158(x91872,x91875),x91876),x91877)),f187(x91871,x91872,x91873,x91874,x91875))+~P104(f331(f331(f245(a876),x91876),f331(f195(f877(x91872)),x91875)))+~P104(f331(f331(f244(a876),f331(f195(f877(x91871)),x91874)),x91876)) % 159.04/158.76 [9484]P104(f331(f331(f244(f885(f884(x94841,x94842),a871)),f331(f331(f287(x94841,x94843,x94842),x94844),x94845)),f331(f331(f287(x94841,x94843,x94842),x94846),x94847)))+~P104(f331(f331(f244(f885(f884(x94843,x94842),a871)),x94845),x94847))+~P104(f331(f331(f244(f885(f884(x94841,x94843),a871)),x94844),x94846)) % 159.04/158.76 [9815]~P104(f331(f331(f333(x98151),x98156),x98155))+P104(f331(f67(x98151,x98152,x98153,x98154,x98155),f331(f331(x98153,x98156),x98157)))+~P104(f331(f67(x98151,x98152,x98153,x98154,f331(f331(f22(f885(x98151,a871)),x98155),f331(f331(f308(x98151),x98156),f194(f885(x98151,a871))))),x98157)) % 159.04/158.76 [10203]~P136(x102031)+~P21(f884(x102032,x102033),x102031,f331(f269(x102032,x102033,x102031),f331(f331(f7(x102032,f885(x102033,x102031),f885(x102033,x102031)),f331(f331(f8(f885(x102031,x102031),f885(f885(x102033,x102031),f885(x102033,x102031)),x102032),f8(x102031,x102031,x102033)),f331(f331(f8(x102031,f885(x102031,x102031),x102032),f81(x102031)),x102034))),x102035)),f331(f331(f267(x102032,x102033),x102036),f331(f16(f885(x102033,a871),x102032),x102037)))+E(f331(f331(f6(x102031,x102031),f34(x102031)),f331(f250(x102031),f331(f331(f8(f885(x102032,a871),a871,x102031),f87(x102032)),f331(f331(f8(f885(x102032,f885(x102033,a871)),f885(x102032,a871),x102031),f331(f8(f885(x102033,a871),a871,x102032),f87(x102033))),f331(f331(f7(x102031,f885(x102032,f885(x102033,a871)),f885(x102032,f885(x102033,a871))),f331(f331(f8(f885(x102032,f885(f885(x102033,a871),f885(x102033,a871))),f885(f885(x102032,f885(x102033,a871)),f885(x102032,f885(x102033,a871))),x102031),f18(x102032,f885(x102033,a871),f885(x102033,a871))),f331(f331(f8(f885(x102032,f885(x102033,f885(a871,a871))),f885(x102032,f885(f885(x102033,a871),f885(x102033,a871))),x102031),f331(f8(f885(x102033,f885(a871,a871)),f885(f885(x102033,a871),f885(x102033,a871)),x102032),f18(x102033,a871,a871))),f331(f331(f8(f885(x102032,f885(x102033,a871)),f885(x102032,f885(x102033,f885(a871,a871))),x102031),f331(f8(f885(x102033,a871),f885(x102033,f885(a871,a871)),x102032),f331(f8(a871,f885(a871,a871),x102033),a329))),f331(f331(f7(x102031,f885(x102032,f885(x102033,x102031)),f885(x102032,f885(x102033,a871))),f331(f331(f8(f885(f885(x102033,x102031),f885(x102033,a871)),f885(f885(x102032,f885(x102033,x102031)),f885(x102032,f885(x102033,a871))),x102031),f8(f885(x102033,x102031),f885(x102033,a871),x102032)),f331(f331(f8(f885(x102031,a871),f885(f885(x102033,x102031),f885(x102033,a871)),x102031),f8(x102031,a871,x102033)),a328))),f331(f331(f7(x102032,f885(x102033,x102031),f885(x102033,x102031)),f331(f331(f8(f885(x102031,x102031),f885(f885(x102033,x102031),f885(x102033,x102031)),x102032),f8(x102031,x102031,x102033)),f331(f331(f8(x102031,f885(x102031,x102031),x102032),f81(x102031)),x102034))),x102035)))))),f331(f331(f7(x102032,f885(x102033,a871),f885(x102033,a871)),f331(f331(f8(f885(a871,a871),f885(f885(x102033,a871),f885(x102033,a871)),x102032),f8(a871,a871,x102033)),f331(f331(f8(a871,f885(a871,a871),x102032),a329),f331(f331(f7(x102032,f885(x102032,a871),a871),f333(x102032)),x102036)))),f331(f331(f7(x102033,f885(x102033,a871),a871),f333(x102033)),x102037))))))),f331(f331(f81(x102031),f331(f331(f6(x102032,x102031),x102034),x102036)),f331(f331(f6(x102033,x102031),x102035),x102037))) % 159.04/158.76 [9647]~P104(f331(f331(x96474,x96476),x96478))+~P104(f331(f331(x96475,x96478),x96477))+P104(f331(f331(f266(x96471,x96472,x96473,x96474,x96475),x96476),x96477)) % 159.04/158.76 [9250]~P15(x92508,x92501,x92503,x92505)+~P104(f331(f62(x92508),x92506))+E(f331(f73(x92501,x92501,x92502,f331(x92503,x92504)),f331(f73(x92501,x92501,x92502,f331(x92505,x92506)),x92507)),f331(f73(x92501,x92501,x92502,f331(x92505,x92506)),f331(f73(x92501,x92501,x92502,f331(x92503,x92504)),x92507))) % 159.04/158.76 [9637]~P18(x96377,x96372,x96375,x96378,x96376,x96371)+~P104(f331(f62(x96372),x96374))+E(f331(x96371,f331(f331(f308(x96372),x96373),x96374)),f331(f331(x96375,f331(x96376,x96373)),f331(x96371,x96374))) % 159.04/158.76 [9757]~P21(x97572,x97574,x97576,x97578)+~P21(x97571,x97573,x97575,x97577)+P21(f884(x97571,x97572),f884(x97573,x97574),f270(x97571,x97573,x97572,x97574,x97575,x97576),f331(f331(f267(x97571,x97572),x97577),f331(f16(f885(x97572,a871),x97571),x97578))) % 159.04/158.76 [9430]P104(f331(f331(f333(f884(x94301,x94302)),f331(f331(f265(x94301,x94302),x94303),x94304)),f331(f331(f287(x94301,x94305,x94302),x94306),x94307)))+~P104(f331(f331(f333(f884(x94301,x94305)),f331(f331(f265(x94301,x94305),x94303),x94308)),x94306))+~P104(f331(f331(f333(f884(x94305,x94302)),f331(f331(f265(x94305,x94302),x94308),x94304)),x94307)) % 159.04/158.76 [9618]~P104(f331(f331(f244(f885(f884(x96183,x96182),a871)),x96185),f331(f331(f267(x96183,x96182),x96188),f331(f16(f885(x96182,a871),x96183),x96187))))+~P104(f331(f331(f244(f885(f884(x96181,x96183),a871)),x96184),f331(f331(f267(x96181,x96183),x96186),f331(f16(f885(x96183,a871),x96181),x96188))))+P104(f331(f331(f244(f885(f884(x96181,x96182),a871)),f331(f331(f287(x96181,x96183,x96182),x96184),x96185)),f331(f331(f267(x96181,x96182),x96186),f331(f16(f885(x96182,a871),x96181),x96187)))) % 159.04/158.76 [9671]~E(x96713,x96715)+P104(f331(f331(f333(f884(f884(x96711,x96712),f884(x96711,x96712))),f331(f331(f265(f884(x96711,x96712),f884(x96711,x96712)),f331(f331(f265(x96711,x96712),x96713),x96714)),f331(f331(f265(x96711,x96712),x96715),x96716))),f324(x96711,x96712,x96717,x96718)))+~P104(f331(f331(f333(f884(x96712,x96712)),f331(f331(f265(x96712,x96712),x96714),x96716)),x96718)) % 159.04/158.76 [9780]E(x97801,x97802)+~P104(f331(f331(f333(f884(f884(x97803,x97805),f884(x97803,x97805))),f331(f331(f265(f884(x97803,x97805),f884(x97803,x97805)),f331(f331(f265(x97803,x97805),x97801),x97806)),f331(f331(f265(x97803,x97805),x97802),x97807))),f324(x97803,x97805,x97804,x97808)))+P104(f331(f331(f333(f884(x97803,x97803)),f331(f331(f265(x97803,x97803),x97801),x97802)),x97804)) % 159.04/158.76 [9797]~P104(f331(f331(f333(f884(f884(x97971,x97975),f884(x97971,x97975))),f331(f331(f265(f884(x97971,x97975),f884(x97971,x97975)),f331(f331(f265(x97971,x97975),x97972),x97976)),f331(f331(f265(x97971,x97975),x97973),x97977))),f324(x97971,x97975,x97974,x97978)))+P104(f331(f331(f333(f884(x97971,x97971)),f331(f331(f265(x97971,x97971),x97972),x97973)),x97974))+P104(f331(f331(f333(f884(x97975,x97975)),f331(f331(f265(x97975,x97975),x97976),x97977)),x97978)) % 159.04/158.76 [9701]~P19(x97017,x97015,x97011,x97018,x97012,x97014)+~P104(f331(f62(x97015),x97016))+E(f331(f331(x97011,f331(x97012,x97013)),f331(x97014,f331(f331(f22(f885(x97015,a871)),x97016),f331(f331(f308(x97015),x97013),f194(f885(x97015,a871)))))),f331(x97014,f331(f331(f308(x97015),x97013),x97016))) % 159.04/158.76 [9206]~P104(f331(f331(f331(x92065,x92068),x92066),x92067))+~P104(f331(f331(f333(x92061),x92068),x92064))+P104(f331(f331(f331(f331(f42(x92061,f885(x92062,f885(x92063,a871))),x92064),x92065),x92066),x92067)) % 159.04/158.76 [9417]P104(f331(f331(f331(x94171,x94172),x94173),x94174))+~P104(f331(f331(f333(x94175),x94172),x94176))+~P104(f331(f331(f331(f331(f43(x94175,f885(x94177,f885(x94178,a871))),x94176),x94171),x94173),x94174)) % 159.04/158.76 [9611]~P17(x96113,x96112,x96114,x96118,x96111)+~P104(f331(f62(x96112),x96117))+E(f331(f331(x96111,f331(f331(f18(x96112,x96113,x96113),f331(f331(f8(x96113,f885(x96113,x96113),x96112),x96114),x96115)),x96116)),x96117),f331(f331(x96114,f331(f331(x96111,x96115),x96117)),f331(f331(x96111,x96116),x96117))) % 159.04/158.76 [9887]~E(f331(f309(x98872,x98874,x98876),x98878),x988710)+~E(f331(f309(x98871,x98873,x98875),x98877),x98879)+E(f331(f309(f884(x98871,x98872),f884(x98873,x98874),f270(x98871,x98873,x98872,x98874,x98875,x98876)),f331(f331(f267(x98871,x98872),x98877),f331(f16(f885(x98872,a871),x98871),x98878))),f331(f331(f267(x98873,x98874),x98879),f331(f16(f885(x98874,a871),x98873),x988710))) % 159.04/158.76 [4836]~P107(x48362)+~P30(x48362,x48361)+P30(x48362,f118(x48362,x48361))+E(x48361,f117(x48362)) % 159.04/158.76 [4837]~P107(x48372)+~P30(x48372,x48371)+P30(x48372,f624(x48371,x48372))+E(x48371,f117(x48372)) % 159.04/158.76 [5071]~P28(x50712)+E(f10(x50712,x50711),f40(x50712,x50711))+E(x50711,f194(f885(x50712,a871)))+~P104(f331(f62(x50712),x50711)) % 159.04/158.76 [5072]~P28(x50722)+E(f11(x50722,x50721),f41(x50722,x50721))+E(x50721,f194(f885(x50722,a871)))+~P104(f331(f62(x50722),x50721)) % 159.04/158.76 [5232]~P107(x52322)+~P30(x52322,x52321)+E(x52321,f117(x52322))+E(f331(f331(f150(x52322),f664(x52321,x52322)),f624(x52321,x52322)),x52321) % 159.04/158.76 [6029]~P75(x60292)+E(x60291,f194(f885(x60292,a871)))+P104(f331(f331(f244(x60292),f11(x60292,x60291)),f10(x60292,x60291)))+~P104(f331(f62(x60292),x60291)) % 159.04/158.76 [6041]~P41(x60412)+~P41(x60411)+E(x60411,x60412)+~E(f331(f309(a1,a876,a108),x60411),f331(f309(a1,a876,a108),x60412)) % 159.04/158.76 [9064]~P119(x90641)+~P104(f331(f331(f333(x90641),x90642),f113(x90641)))+P104(f331(f331(f245(x90641),f331(f331(f80(x90641),f331(f331(f80(x90641),f78(x90641)),x90642)),x90642)),f2(x90641)))+~P104(f331(f331(f245(x90641),x90642),f2(x90641))) % 159.04/158.76 [9305]~P119(x93051)+~P104(f331(f331(f333(x93051),x93052),f113(x93051)))+~P104(f331(f331(f245(x93051),f331(f331(f80(x93051),f331(f331(f80(x93051),f78(x93051)),x93052)),x93052)),f2(x93051)))+P104(f331(f331(f245(x93051),x93052),f2(x93051))) % 159.04/158.76 [4892]~P136(x48922)+~P112(x48922)+E(x48921,f2(a876))+E(f331(f331(f255(x48922),f2(x48922)),x48921),f2(x48922)) % 159.04/158.76 [4897]~P136(x48971)+~P112(x48971)+~E(x48972,f2(a876))+E(f331(f331(f255(x48971),f2(x48971)),x48972),f78(x48971)) % 159.04/158.76 [5058]~P137(x50582)+E(x50581,f78(x50582))+E(x50581,f331(f79(x50582),f78(x50582)))+~E(f331(f331(f81(x50582),x50581),x50581),f78(x50582)) % 159.04/158.76 [5313]~P88(x53132)+E(x53131,f2(x53132))+E(f82(x53132,x53131),f331(f79(x53132),f78(x53132)))+P104(f331(f331(f245(x53132),f2(x53132)),x53131)) % 159.04/158.76 [5549]~P88(x55492)+E(f82(x55492,x55491),f78(x55492))+E(x55491,f2(x55492))+~P104(f331(f331(f245(x55492),f2(x55492)),x55491)) % 159.04/158.76 [5558]E(x55581,x55582)+~E(f331(f107(a876),x55581),f331(f107(a876),x55582))+P104(f331(a200,f331(f107(a1),x55582)))+P104(f331(a200,f331(f107(a1),x55581))) % 159.04/158.76 [5608]~P91(x56081)+~E(x56082,f2(x56081))+E(f331(f331(f80(x56081),x56082),x56082),f2(x56081))+~P104(f331(f331(f333(x56081),x56082),f113(x56081))) % 159.04/158.76 [5646]E(x56461,f2(a1))+~E(f331(f331(f39(a1),x56462),x56461),f2(a1))+P104(f331(f331(f245(a1),x56461),x56462))+P104(f331(f331(f245(a1),x56462),x56461)) % 159.04/158.76 [5677]E(x56771,f2(a1))+~E(f331(f331(f39(a1),x56772),x56771),f2(a1))+P104(f331(f331(f244(a1),x56772),f2(a1)))+P104(f331(f331(f245(a1),x56772),x56771)) % 159.04/158.76 [5711]E(x57111,f2(a1))+~E(f331(f331(f39(a1),x57112),x57111),f2(a1))+P104(f331(f331(f244(a1),f2(a1)),x57112))+P104(f331(f331(f245(a1),x57111),x57112)) % 159.04/158.76 [5747]~P91(x57472)+E(x57471,f2(x57472))+~E(f331(f331(f80(x57472),x57471),x57471),f2(x57472))+~P104(f331(f331(f333(x57472),x57471),f113(x57472))) % 159.04/158.76 [5807]E(f331(f107(a876),x58071),f331(f107(a876),x58072))+~E(f331(f107(a1),x58072),f2(a1))+P104(f331(a200,f331(f107(a1),x58072)))+~P104(f331(a200,f331(f107(a1),x58071))) % 159.04/158.76 [5834]~E(f331(f107(a876),x58342),f331(f107(a876),x58341))+E(f331(f107(a1),x58341),f2(a1))+P104(f331(a200,f331(f107(a1),x58341)))+~P104(f331(a200,f331(f107(a1),x58342))) % 159.04/158.76 [5843]~P107(x58432)+E(x58431,f194(f885(x58432,a871)))+~P104(f331(f62(x58432),x58431))+P104(f331(f331(f333(x58432),f14(x58432,x58431)),x58431)) % 159.04/158.76 [5844]~P107(x58442)+E(x58441,f194(f885(x58442,a871)))+~P104(f331(f62(x58442),x58441))+P104(f331(f331(f333(x58442),f15(x58442,x58441)),x58441)) % 159.04/158.76 [6009]~P119(x60091)+~P92(x60091)+P104(f331(f331(f244(x60091),f2(x60091)),f331(f107(x60091),x60092)))+~P104(f331(f331(f244(a1),a83),x60092)) % 159.04/158.76 [6010]~P119(x60101)+~P92(x60101)+P104(f331(f331(f245(x60101),f2(x60101)),f331(f107(x60101),x60102)))+~P104(f331(f331(f245(a1),a83),x60102)) % 159.04/158.76 [6028]~P119(x60281)+~P92(x60281)+E(f331(f75(x60281),f331(f107(x60281),x60282)),f331(f107(x60281),x60282))+P104(f331(f331(f245(x60281),f331(f107(x60281),x60282)),f2(x60281))) % 159.04/158.76 [6068]E(x60681,x60682)+~E(f331(a108,x60681),f331(a108,x60682))+~P104(f331(f331(f244(a1),f2(a1)),x60682))+~P104(f331(f331(f244(a1),f2(a1)),x60681)) % 159.04/158.76 [6263]~P92(x62632)+~P119(x62632)+~P104(f331(f331(f244(x62632),f2(x62632)),f331(f107(x62632),x62631)))+P104(f331(f331(f244(a1),a83),x62631)) % 159.04/158.76 [6264]~P92(x62642)+~P119(x62642)+~P104(f331(f331(f245(x62642),f2(x62642)),f331(f107(x62642),x62641)))+P104(f331(f331(f245(a1),a83),x62641)) % 159.04/158.76 [6269]~P119(x62691)+~P92(x62691)+P104(f331(f331(f244(x62691),f331(f107(x62691),x62692)),f2(x62691)))+~P104(f331(f331(f244(a1),x62692),a83)) % 159.04/158.76 [6270]~P119(x62701)+~P92(x62701)+P104(f331(f331(f245(x62701),f331(f107(x62701),x62702)),f2(x62701)))+~P104(f331(f331(f245(a1),x62702),a83)) % 159.04/158.76 [6577]~P92(x65772)+~P119(x65772)+~P104(f331(f331(f244(x65772),f331(f107(x65772),x65771)),f2(x65772)))+P104(f331(f331(f244(a1),x65771),a83)) % 159.04/158.76 [6578]~P92(x65782)+~P119(x65782)+~P104(f331(f331(f245(x65782),f331(f107(x65782),x65781)),f2(x65782)))+P104(f331(f331(f245(a1),x65781),a83)) % 159.04/158.76 [6670]~P119(x66701)+~P92(x66701)+E(f331(f75(x66701),f331(f107(x66701),x66702)),f331(f79(x66701),f331(f107(x66701),x66702)))+~P104(f331(f331(f245(x66701),f331(f107(x66701),x66702)),f2(x66701))) % 159.04/158.76 [6688]E(f331(f107(a876),x66881),f331(f107(a876),x66882))+~E(f331(f107(a1),x66882),f2(a1))+~P104(f331(f331(f244(a1),f331(f107(a1),x66881)),f2(a1)))+~P104(f331(a200,f331(f107(a1),x66881))) % 159.04/158.76 [7568]~P107(x75682)+E(x75681,f194(f885(x75682,a871)))+~P104(f331(f62(x75682),x75681))+P104(f331(f331(f244(x75682),f12(x75682,f242(x75682),x75681)),f13(x75682,f243(x75682),x75681))) % 159.04/158.76 [7883]~P41(x78832)+~P29(x78831)+P104(f331(f331(f333(a1),x78831),x78832))+~P104(f331(f331(f333(a876),f331(a108,x78831)),f331(f309(a1,a876,a108),x78832))) % 159.04/158.76 [8159]~P58(x81592)+P104(f331(x81591,f197(x81592)))+~P104(f331(f58(f880(x81592)),x81591))+P104(f331(f58(x81592),f331(f331(f8(f880(x81592),a871,x81592),x81591),f236(x81592)))) % 159.04/158.76 [8627]~P58(x86271)+~P104(f331(x86272,f197(x86271)))+P104(f331(f59(f880(x86271)),x86272))+~P104(f331(f59(x86271),f331(f331(f8(f880(x86271),a871,x86271),x86272),f236(x86271)))) % 159.04/158.76 [5840]~P138(x58402)+E(x58401,f2(a1))+E(f331(f79(x58402),f331(f106(x58402),f331(f79(a1),x58401))),f331(f106(x58402),x58401))+~P104(f331(f331(f245(a1),x58401),f2(a1))) % 159.04/158.76 [5913]~P91(x59131)+~P92(x59131)+~P32(x59131,f331(f107(x59131),x59132))+P32(x59131,f331(f107(x59131),f331(f331(f80(a1),x59132),x59132))) % 159.04/158.76 [6251]~P73(x62512)+E(x62511,f194(f885(x62512,a871)))+E(f15(x62512,f331(f309(x62512,x62512,f79(x62512)),x62511)),f331(f79(x62512),f14(x62512,x62511)))+~P104(f331(f62(x62512),x62511)) % 159.04/158.76 [6252]~P73(x62522)+E(x62521,f194(f885(x62522,a871)))+E(f14(x62522,f331(f309(x62522,x62522,f79(x62522)),x62521)),f331(f79(x62522),f15(x62522,x62521)))+~P104(f331(f62(x62522),x62521)) % 159.04/158.76 [6284]~P91(x62841)+~P92(x62841)+P32(x62841,f331(f107(x62841),x62842))+~P32(x62841,f331(f107(x62841),f331(f331(f80(a1),x62842),x62842))) % 159.04/158.76 [6372]E(x63721,f2(a1))+E(f331(a51,f50(f331(f79(a1),x63721),f331(f79(a1),x63722))),f46(x63721,x63722))+P104(f331(f331(f244(a1),f2(a1)),x63722))+~P104(f331(f331(f244(a1),f2(a1)),x63721)) % 159.04/158.76 [8671]~P41(x86712)+~P41(x86711)+P104(f331(f331(f245(f885(a876,a871)),f331(f309(a1,a876,a108),x86711)),f331(f309(a1,a876,a108),x86712)))+~P104(f331(f331(f245(f885(a1,a871)),x86711),x86712)) % 159.04/158.76 [8884]~E(f679(x88842,x88841),f680(x88842,x88841))+~P104(f331(f136(x88841),f681(x88842,x88841)))+~P104(f331(f136(f877(x88841)),x88842))+P104(f331(f136(x88841),f331(f141(f877(x88841),f877(x88841),f126(x88841),f117(x88841)),x88842))) % 159.04/158.76 [8982]~P41(x89822)+~P41(x89821)+~P104(f331(f331(f244(f885(a876,a871)),f331(f309(a1,a876,a108),x89821)),f331(f309(a1,a876,a108),x89822)))+P104(f331(f331(f244(f885(a1,a871)),x89821),x89822)) % 159.04/158.76 [8983]~P41(x89832)+~P41(x89831)+~P104(f331(f331(f245(f885(a876,a871)),f331(f309(a1,a876,a108),x89831)),f331(f309(a1,a876,a108),x89832)))+P104(f331(f331(f245(f885(a1,a871)),x89831),x89832)) % 159.04/158.76 [8989]~E(f679(x89892,x89891),f680(x89892,x89891))+~P104(f331(f136(f877(x89891)),x89892))+P104(f331(f136(x89891),f331(f141(f877(x89891),f877(x89891),f126(x89891),f117(x89891)),x89892)))+P104(f331(f331(f333(f877(x89891)),f681(x89892,x89891)),f331(f172(f877(x89891)),x89892))) % 159.04/158.76 [9031]~P104(f331(f136(x90311),f681(x90312,x90311)))+~P104(f331(f136(f877(x90311)),x90312))+P104(f331(f136(x90311),f331(f141(f877(x90311),f877(x90311),f126(x90311),f117(x90311)),x90312)))+P104(f331(f331(f333(f877(x90311)),f680(x90312,x90311)),f331(f172(f877(x90311)),x90312))) % 159.04/158.76 [9032]~P104(f331(f136(x90321),f681(x90322,x90321)))+~P104(f331(f136(f877(x90321)),x90322))+P104(f331(f136(x90321),f331(f141(f877(x90321),f877(x90321),f126(x90321),f117(x90321)),x90322)))+P104(f331(f331(f333(f877(x90321)),f679(x90322,x90321)),f331(f172(f877(x90321)),x90322))) % 159.04/158.76 [9107]~P104(f331(f136(f877(x91071)),x91072))+P104(f331(f136(x91071),f331(f141(f877(x91071),f877(x91071),f126(x91071),f117(x91071)),x91072)))+P104(f331(f331(f333(f877(x91071)),f680(x91072,x91071)),f331(f172(f877(x91071)),x91072)))+P104(f331(f331(f333(f877(x91071)),f681(x91072,x91071)),f331(f172(f877(x91071)),x91072))) % 159.04/158.76 [9108]~P104(f331(f136(f877(x91081)),x91082))+P104(f331(f136(x91081),f331(f141(f877(x91081),f877(x91081),f126(x91081),f117(x91081)),x91082)))+P104(f331(f331(f333(f877(x91081)),f679(x91082,x91081)),f331(f172(f877(x91081)),x91082)))+P104(f331(f331(f333(f877(x91081)),f681(x91082,x91081)),f331(f172(f877(x91081)),x91082))) % 159.04/158.76 [9121]~E(f331(f331(f105(f885(x91211,a871)),f331(f172(x91211),f680(x91212,x91211))),f331(f172(x91211),f679(x91212,x91211))),f194(f885(x91211,a871)))+~P104(f331(f136(x91211),f681(x91212,x91211)))+~P104(f331(f136(f877(x91211)),x91212))+P104(f331(f136(x91211),f331(f141(f877(x91211),f877(x91211),f126(x91211),f117(x91211)),x91212))) % 159.04/158.76 [9183]~E(f331(f331(f105(f885(x91831,a871)),f331(f172(x91831),f680(x91832,x91831))),f331(f172(x91831),f679(x91832,x91831))),f194(f885(x91831,a871)))+~P104(f331(f136(f877(x91831)),x91832))+P104(f331(f136(x91831),f331(f141(f877(x91831),f877(x91831),f126(x91831),f117(x91831)),x91832)))+P104(f331(f331(f333(f877(x91831)),f681(x91832,x91831)),f331(f172(f877(x91831)),x91832))) % 159.04/158.76 [9454]E(x94541,f2(a1))+E(x94542,f2(a1))+E(f331(f331(f86(a1,f884(a1,a1)),f331(f331(a226,x94542),x94541)),f331(f331(f18(a1,a1,f884(a1,a1)),f331(f331(f8(a1,f885(a1,f884(a1,a1)),a1),f265(a1,a1)),f331(f39(a1),x94542))),f331(f39(a1),x94541))),f224(x94542,x94541))+P104(f331(f331(f245(a1),x94541),f2(a1))) % 159.04/158.76 [8220]~P92(x82202)+~P119(x82202)+~P104(f331(f331(f244(x82202),f331(f107(x82202),x82201)),f78(x82202)))+P104(f331(f331(f244(a1),x82201),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))) % 159.04/158.76 [8221]~P92(x82212)+~P119(x82212)+~P104(f331(f331(f245(x82212),f331(f107(x82212),x82211)),f78(x82212)))+P104(f331(f331(f245(a1),x82211),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))) % 159.04/158.76 [8499]~P119(x84991)+~P92(x84991)+P104(f331(f331(f244(x84991),f331(f107(x84991),x84992)),f78(x84991)))+~P104(f331(f331(f244(a1),x84992),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))) % 159.04/158.76 [8500]~P119(x85001)+~P92(x85001)+P104(f331(f331(f245(x85001),f331(f107(x85001),x85002)),f78(x85001)))+~P104(f331(f331(f245(a1),x85002),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))) % 159.04/158.76 [8696]~P92(x86962)+~P119(x86962)+~P104(f331(f331(f244(x86962),f78(x86962)),f331(f107(x86962),x86961)))+P104(f331(f331(f244(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),x86961)) % 159.04/158.76 [8697]~P92(x86972)+~P119(x86972)+~P104(f331(f331(f245(x86972),f78(x86972)),f331(f107(x86972),x86971)))+P104(f331(f331(f245(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),x86971)) % 159.04/158.76 [9070]~P119(x90701)+~P92(x90701)+P104(f331(f331(f244(x90701),f78(x90701)),f331(f107(x90701),x90702)))+~P104(f331(f331(f244(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),x90702)) % 159.04/158.76 [9071]~P119(x90711)+~P92(x90711)+P104(f331(f331(f245(x90711),f78(x90711)),f331(f107(x90711),x90712)))+~P104(f331(f331(f245(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),x90712)) % 159.04/158.76 [9583]~P137(x95832)+E(x95831,f78(x95832))+E(x95831,f331(f79(x95832),f78(x95832)))+~E(f331(f331(f255(x95832),x95831),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f78(x95832)) % 159.04/158.76 [9855]~P61(x98551)+~P92(x98551)+~P104(f331(f331(f245(x98551),f2(x98551)),x98552))+P104(f331(f331(f245(x98551),f2(x98551)),f331(f331(f288(x98551),x98552),f331(f107(x98551),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))) % 159.04/158.76 [9917]~P61(x99171)+~P92(x99171)+P104(f331(f331(f245(x99171),f2(x99171)),x99172))+~P104(f331(f331(f245(x99171),f2(x99171)),f331(f331(f288(x99171),x99172),f331(f107(x99171),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))) % 159.04/158.76 [10171]~P138(x101712)+E(x101711,f2(a1))+P104(f331(f331(f245(a1),x101711),f2(a1)))+E(f331(f331(f269(a1,a1,x101712),f331(f331(f7(a1,f885(a1,f885(x101712,x101712)),f885(a1,x101712)),f331(f331(f8(f885(f885(x101712,x101712),x101712),f885(f885(a1,f885(x101712,x101712)),f885(a1,x101712)),a1),f8(f885(x101712,x101712),x101712,a1)),f331(f331(f8(x101712,f885(f885(x101712,x101712),x101712),a1),f86(x101712,x101712)),f106(x101712)))),f331(f331(f7(a1,f885(x101712,x101712),f885(x101712,x101712)),f331(f331(f8(f885(x101712,f885(x101712,x101712)),f885(f885(x101712,x101712),f885(x101712,x101712)),a1),f18(x101712,x101712,x101712)),f331(f331(f7(a1,f885(x101712,x101712),f885(x101712,f885(x101712,x101712))),f331(f331(f8(f885(x101712,f885(x101712,x101712)),f885(f885(x101712,x101712),f885(x101712,f885(x101712,x101712))),a1),f8(x101712,f885(x101712,x101712),x101712)),f331(f331(f8(a871,f885(x101712,f885(x101712,x101712)),a1),f100(x101712)),f331(f331(f7(a1,a1,a871),a328),f2(a1))))),f331(f331(f18(x101712,x101712,x101712),f80(x101712)),f5(x101712))))),f331(f331(f7(x101712,x101712,x101712),f331(f331(f8(x101712,f885(x101712,x101712),x101712),f80(x101712)),f331(f331(f18(x101712,x101712,x101712),f80(x101712)),f5(x101712)))),f78(x101712))))),f46(x101711,f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f106(x101712),x101711)) % 159.04/158.76 [5227]~P58(x52273)+~P37(x52273,x52272,f56(x52273))+E(x52271,f721(x52272,x52273))+~P104(f331(x52272,x52271)) % 159.04/158.76 [5385]~P58(x53851)+P37(x53851,x53852,f56(x53851))+~E(f722(x53852,x53851,x53853),x53853)+~P104(f331(x53852,x53853)) % 159.04/158.76 [4863]~P91(x48633)+~P92(x48633)+E(x48631,x48632)+~E(f331(f107(x48633),x48631),f331(f107(x48633),x48632)) % 159.04/158.76 [6008]~P58(x60081)+P37(x60081,x60082,f56(x60081))+~P104(f331(x60082,x60083))+P104(f331(x60082,f722(x60082,x60081,x60083))) % 159.04/158.76 [6018]~P104(f331(x60181,x60182))+~P104(f331(x60181,x60183))+~P104(f331(f331(f244(a876),x60183),f389(x60182,x60181)))+P104(f331(x60181,f2(a876))) % 159.04/158.76 [6435]P146(x64352,x64351,x64353)+E(x64351,f2(a1))+P104(f331(f331(f244(a1),f2(a1)),f809(x64353,x64351,x64352)))+P104(f331(f331(f245(a1),x64351),f2(a1))) % 159.04/158.76 [6436]P145(x64362,x64361,x64363)+E(x64361,f2(a1))+P104(f331(f331(f244(a1),f2(a1)),f818(x64363,x64361,x64362)))+P104(f331(f331(f245(a1),x64361),f2(a1))) % 159.04/158.76 [6556]P145(x65561,x65562,x65563)+~P104(f331(x65561,x65563))+P104(f331(f331(f244(a1),f2(a1)),f818(x65563,x65562,x65561)))+P104(f331(f331(f245(a1),x65562),f2(a1))) % 159.04/158.76 [6583]P146(x65831,x65832,x65833)+P104(f331(f331(f244(a1),f2(a1)),f809(x65833,x65832,x65831)))+~P104(f331(x65831,f2(a1)))+P104(f331(f331(f245(a1),x65832),f2(a1))) % 159.04/158.76 [6611]P146(x66112,x66111,x66113)+E(x66111,f2(a1))+~P104(f331(x66112,f810(x66113,x66111,x66112)))+P104(f331(f331(f245(a1),x66111),f2(a1))) % 159.04/158.76 [6612]P145(x66122,x66121,x66123)+E(x66121,f2(a1))+~P104(f331(x66122,f818(x66123,x66121,x66122)))+P104(f331(f331(f245(a1),x66121),f2(a1))) % 159.04/158.76 [6713]~P107(x67131)+~P28(x67131)+~P104(f331(f331(f245(x67131),x67132),f40(x67131,x67133)))+P104(f331(f331(f245(x67131),x67132),f654(x67133,x67132,x67131))) % 159.04/158.76 [6722]P145(x67221,x67222,x67223)+~P104(f331(x67221,x67223))+~P104(f331(x67221,f818(x67223,x67222,x67221)))+P104(f331(f331(f245(a1),x67222),f2(a1))) % 159.04/158.76 [6754]P146(x67541,x67542,x67543)+~P104(f331(x67541,f810(x67543,x67542,x67541)))+~P104(f331(x67541,f2(a1)))+P104(f331(f331(f245(a1),x67542),f2(a1))) % 159.04/158.76 [7007]P146(x70072,x70071,x70073)+E(x70071,f2(a1))+P104(f331(f331(f244(a1),f2(a1)),f809(x70073,x70071,x70072)))+P104(f331(f331(f245(a1),x70071),f808(x70073,x70071,x70072))) % 159.04/158.76 [7008]P145(x70082,x70081,x70083)+E(x70081,f2(a1))+P104(f331(f331(f244(a1),f2(a1)),f818(x70083,x70081,x70082)))+P104(f331(f331(f245(a1),x70081),f817(x70083,x70081,x70082))) % 159.04/158.76 [7125]P145(x71251,x71252,x71253)+~P104(f331(x71251,x71253))+P104(f331(f331(f244(a1),f2(a1)),f818(x71253,x71252,x71251)))+P104(f331(f331(f245(a1),x71252),f817(x71253,x71252,x71251))) % 159.04/158.76 [7144]P146(x71441,x71442,x71443)+P104(f331(f331(f244(a1),f2(a1)),f809(x71443,x71442,x71441)))+P104(f331(f331(f245(a1),x71442),f808(x71443,x71442,x71441)))+~P104(f331(x71441,f2(a1))) % 159.04/158.76 [7177]P146(x71772,x71771,x71773)+E(x71771,f2(a1))+~P104(f331(x71772,f810(x71773,x71771,x71772)))+P104(f331(f331(f245(a1),x71771),f808(x71773,x71771,x71772))) % 159.04/158.76 [7178]P145(x71782,x71781,x71783)+E(x71781,f2(a1))+~P104(f331(x71782,f818(x71783,x71781,x71782)))+P104(f331(f331(f245(a1),x71781),f817(x71783,x71781,x71782))) % 159.04/158.76 [7219]P146(x72192,x72191,x72193)+E(x72191,f2(a1))+P104(f331(f331(f244(a1),f2(a1)),f809(x72193,x72191,x72192)))+~P104(f331(x72192,f816(x72193,x72191,x72192))) % 159.04/158.76 [7220]P145(x72202,x72201,x72203)+E(x72201,f2(a1))+P104(f331(f331(f244(a1),f2(a1)),f818(x72203,x72201,x72202)))+~P104(f331(x72202,f817(x72203,x72201,x72202))) % 159.04/158.76 [7308]P145(x73081,x73082,x73083)+~P104(f331(x73081,x73083))+~P104(f331(x73081,f818(x73083,x73082,x73081)))+P104(f331(f331(f245(a1),x73082),f817(x73083,x73082,x73081))) % 159.04/158.76 [7324]P146(x73241,x73242,x73243)+~P104(f331(x73241,f810(x73243,x73242,x73241)))+P104(f331(f331(f245(a1),x73242),f808(x73243,x73242,x73241)))+~P104(f331(x73241,f2(a1))) % 159.04/158.76 [7328]P145(x73281,x73282,x73283)+~P104(f331(x73281,x73283))+P104(f331(f331(f244(a1),f2(a1)),f818(x73283,x73282,x73281)))+~P104(f331(x73281,f817(x73283,x73282,x73281))) % 159.04/158.76 [7346]P146(x73461,x73462,x73463)+P104(f331(f331(f244(a1),f2(a1)),f809(x73463,x73462,x73461)))+~P104(f331(x73461,f816(x73463,x73462,x73461)))+~P104(f331(x73461,f2(a1))) % 159.04/158.76 [7370]P146(x73702,x73701,x73703)+E(x73701,f2(a1))+~P104(f331(x73702,f810(x73703,x73701,x73702)))+~P104(f331(x73702,f816(x73703,x73701,x73702))) % 159.04/158.76 [7371]P145(x73712,x73711,x73713)+E(x73711,f2(a1))+~P104(f331(x73712,f818(x73713,x73711,x73712)))+~P104(f331(x73712,f817(x73713,x73711,x73712))) % 159.04/158.76 [7463]P145(x74631,x74632,x74633)+~P104(f331(x74631,x74633))+~P104(f331(x74631,f818(x74633,x74632,x74631)))+~P104(f331(x74631,f817(x74633,x74632,x74631))) % 159.04/158.76 [7480]P146(x74801,x74802,x74803)+~P104(f331(x74801,f810(x74803,x74802,x74801)))+~P104(f331(x74801,f816(x74803,x74802,x74801)))+~P104(f331(x74801,f2(a1))) % 159.04/158.76 [7528]P146(x75282,x75281,x75283)+E(x75281,f2(a1))+P104(f331(f331(f244(a1),f2(a1)),f809(x75283,x75281,x75282)))+P104(f331(f331(f244(a1),f808(x75283,x75281,x75282)),f2(a1))) % 159.04/158.76 [7529]P145(x75292,x75291,x75293)+E(x75291,f2(a1))+P104(f331(f331(f244(a1),f2(a1)),f818(x75293,x75291,x75292)))+P104(f331(f331(f244(a1),f817(x75293,x75291,x75292)),f2(a1))) % 159.04/158.76 [7530]~P138(x75301)+~P104(f331(f331(f333(x75301),x75303),f113(x75301)))+~P104(f331(f331(f333(x75301),x75302),f113(x75301)))+P104(f331(f331(f333(x75301),f331(f331(f22(x75301),x75302),x75303)),f113(x75301))) % 159.04/158.76 [7531]~P138(x75311)+~P104(f331(f331(f333(x75311),x75313),f113(x75311)))+~P104(f331(f331(f333(x75311),x75312),f113(x75311)))+P104(f331(f331(f333(x75311),f331(f331(f81(x75311),x75312),x75313)),f113(x75311))) % 159.04/158.76 [7532]~P143(x75321)+~P104(f331(f331(f333(x75321),x75323),f192(x75321)))+~P104(f331(f331(f333(x75321),x75322),f192(x75321)))+P104(f331(f331(f333(x75321),f331(f331(f81(x75321),x75322),x75323)),f192(x75321))) % 159.04/158.76 [7533]~P138(x75331)+~P104(f331(f331(f333(x75331),x75333),f113(x75331)))+~P104(f331(f331(f333(x75331),x75332),f113(x75331)))+P104(f331(f331(f333(x75331),f331(f331(f80(x75331),x75332),x75333)),f113(x75331))) % 159.04/158.76 [7534]~P143(x75341)+~P104(f331(f331(f333(x75341),x75343),f192(x75341)))+~P104(f331(f331(f333(x75341),x75342),f192(x75341)))+P104(f331(f331(f333(x75341),f331(f331(f80(x75341),x75342),x75343)),f192(x75341))) % 159.04/158.76 [7535]~P87(x75351)+~P104(f331(f331(f244(x75351),x75353),f2(x75351)))+~P104(f331(f331(f244(x75351),x75352),f2(x75351)))+P104(f331(f331(f244(x75351),f331(f331(f80(x75351),x75352),x75353)),f2(x75351))) % 159.04/158.76 [7536]~P87(x75361)+~P104(f331(f331(f244(x75361),x75363),f2(x75361)))+~P104(f331(f331(f245(x75361),x75362),f2(x75361)))+P104(f331(f331(f245(x75361),f331(f331(f80(x75361),x75362),x75363)),f2(x75361))) % 159.04/158.76 [7537]~P87(x75371)+~P104(f331(f331(f244(x75371),x75372),f2(x75371)))+~P104(f331(f331(f245(x75371),x75373),f2(x75371)))+P104(f331(f331(f245(x75371),f331(f331(f80(x75371),x75372),x75373)),f2(x75371))) % 159.04/158.76 [7538]~P87(x75381)+~P104(f331(f331(f245(x75381),x75383),f2(x75381)))+~P104(f331(f331(f245(x75381),x75382),f2(x75381)))+P104(f331(f331(f245(x75381),f331(f331(f80(x75381),x75382),x75383)),f2(x75381))) % 159.04/158.76 [7564]P146(x75643,x75641,x75642)+E(x75641,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x75641),f810(x75642,x75641,x75643))),f809(x75642,x75641,x75643)),x75642)+P104(f331(f331(f245(a1),x75641),f2(a1))) % 159.04/158.76 [7565]P145(x75653,x75651,x75652)+E(x75651,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x75651),f819(x75652,x75651,x75653))),f818(x75652,x75651,x75653)),x75652)+P104(f331(f331(f245(a1),x75651),f2(a1))) % 159.04/158.76 [7647]P145(x76471,x76472,x76473)+~P104(f331(x76471,x76473))+P104(f331(f331(f244(a1),f2(a1)),f818(x76473,x76472,x76471)))+P104(f331(f331(f244(a1),f817(x76473,x76472,x76471)),f2(a1))) % 159.04/158.76 [7676]P146(x76761,x76762,x76763)+P104(f331(f331(f244(a1),f2(a1)),f809(x76763,x76762,x76761)))+~P104(f331(x76761,f2(a1)))+P104(f331(f331(f244(a1),f808(x76763,x76762,x76761)),f2(a1))) % 159.04/158.76 [7685]P145(x76853,x76851,x76852)+~P104(f331(x76853,x76852))+E(f331(f331(f80(a1),f331(f331(f81(a1),x76851),f819(x76852,x76851,x76853))),f818(x76852,x76851,x76853)),x76852)+P104(f331(f331(f245(a1),x76851),f2(a1))) % 159.04/158.76 [7691]P146(x76912,x76911,x76913)+E(x76911,f2(a1))+~P104(f331(x76912,f810(x76913,x76911,x76912)))+P104(f331(f331(f244(a1),f808(x76913,x76911,x76912)),f2(a1))) % 159.04/158.76 [7692]P145(x76922,x76921,x76923)+E(x76921,f2(a1))+~P104(f331(x76922,f818(x76923,x76921,x76922)))+P104(f331(f331(f244(a1),f817(x76923,x76921,x76922)),f2(a1))) % 159.04/158.76 [7697]P146(x76973,x76971,x76972)+E(f331(f331(f80(a1),f331(f331(f81(a1),x76971),f810(x76972,x76971,x76973))),f809(x76972,x76971,x76973)),x76972)+~P104(f331(x76973,f2(a1)))+P104(f331(f331(f245(a1),x76971),f2(a1))) % 159.04/158.76 [7752]P145(x77521,x77522,x77523)+~P104(f331(x77521,x77523))+~P104(f331(x77521,f818(x77523,x77522,x77521)))+P104(f331(f331(f244(a1),f817(x77523,x77522,x77521)),f2(a1))) % 159.04/158.76 [7756]P146(x77561,x77562,x77563)+~P104(f331(x77561,f810(x77563,x77562,x77561)))+~P104(f331(x77561,f2(a1)))+P104(f331(f331(f244(a1),f808(x77563,x77562,x77561)),f2(a1))) % 159.04/158.76 [7825]~P124(x78251)+~P104(f331(f331(f244(x78251),f331(f331(f81(x78251),x78253),x78252)),f2(x78251)))+P104(f331(f331(f244(x78251),x78252),f2(x78251)))+P104(f331(f331(f244(x78251),x78253),f2(x78251))) % 159.04/158.76 [7826]~P61(x78261)+~P104(f331(f331(f244(x78261),f331(f331(f288(x78261),x78263),x78262)),f2(x78261)))+P104(f331(f331(f244(x78261),x78262),f2(x78261)))+P104(f331(f331(f244(x78261),x78263),f2(x78261))) % 159.04/158.76 [7827]~P61(x78271)+~P104(f331(f331(f245(x78271),f331(f331(f288(x78271),x78273),x78272)),f2(x78271)))+P104(f331(f331(f245(x78271),x78272),f2(x78271)))+P104(f331(f331(f245(x78271),x78273),f2(x78271))) % 159.04/158.76 [7941]P146(x79413,x79411,x79412)+E(x79411,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x79411),f810(x79412,x79411,x79413))),f809(x79412,x79411,x79413)),x79412)+P104(f331(f331(f245(a1),x79411),f808(x79412,x79411,x79413))) % 159.04/158.76 [7942]P145(x79423,x79421,x79422)+E(x79421,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x79421),f819(x79422,x79421,x79423))),f818(x79422,x79421,x79423)),x79422)+P104(f331(f331(f245(a1),x79421),f817(x79422,x79421,x79423))) % 159.04/158.76 [7954]P146(x79543,x79541,x79542)+E(x79541,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x79541),f816(x79542,x79541,x79543))),f808(x79542,x79541,x79543)),x79542)+P104(f331(f331(f244(a1),f2(a1)),f809(x79542,x79541,x79543))) % 159.04/158.76 [7955]P145(x79553,x79551,x79552)+E(x79551,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x79551),f820(x79552,x79551,x79553))),f817(x79552,x79551,x79553)),x79552)+P104(f331(f331(f244(a1),f2(a1)),f818(x79552,x79551,x79553))) % 159.04/158.76 [7999]P145(x79993,x79991,x79992)+~P104(f331(x79993,x79992))+E(f331(f331(f80(a1),f331(f331(f81(a1),x79991),f819(x79992,x79991,x79993))),f818(x79992,x79991,x79993)),x79992)+P104(f331(f331(f245(a1),x79991),f817(x79992,x79991,x79993))) % 159.04/158.76 [8011]P146(x80113,x80111,x80112)+E(f331(f331(f80(a1),f331(f331(f81(a1),x80111),f810(x80112,x80111,x80113))),f809(x80112,x80111,x80113)),x80112)+P104(f331(f331(f245(a1),x80111),f808(x80112,x80111,x80113)))+~P104(f331(x80113,f2(a1))) % 159.04/158.76 [8017]P145(x80173,x80171,x80172)+~P104(f331(x80173,x80172))+E(f331(f331(f80(a1),f331(f331(f81(a1),x80171),f820(x80172,x80171,x80173))),f817(x80172,x80171,x80173)),x80172)+P104(f331(f331(f244(a1),f2(a1)),f818(x80172,x80171,x80173))) % 159.04/158.76 [8025]P146(x80253,x80251,x80252)+E(f331(f331(f80(a1),f331(f331(f81(a1),x80251),f816(x80252,x80251,x80253))),f808(x80252,x80251,x80253)),x80252)+P104(f331(f331(f244(a1),f2(a1)),f809(x80252,x80251,x80253)))+~P104(f331(x80253,f2(a1))) % 159.04/158.76 [8036]P146(x80363,x80361,x80362)+E(x80361,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x80361),f810(x80362,x80361,x80363))),f809(x80362,x80361,x80363)),x80362)+~P104(f331(x80363,f816(x80362,x80361,x80363))) % 159.04/158.76 [8037]P145(x80373,x80371,x80372)+E(x80371,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x80371),f819(x80372,x80371,x80373))),f818(x80372,x80371,x80373)),x80372)+~P104(f331(x80373,f817(x80372,x80371,x80373))) % 159.04/158.76 [8038]P146(x80383,x80381,x80382)+E(x80381,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x80381),f816(x80382,x80381,x80383))),f808(x80382,x80381,x80383)),x80382)+~P104(f331(x80383,f810(x80382,x80381,x80383))) % 159.04/158.76 [8039]P145(x80393,x80391,x80392)+E(x80391,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x80391),f820(x80392,x80391,x80393))),f817(x80392,x80391,x80393)),x80392)+~P104(f331(x80393,f818(x80392,x80391,x80393))) % 159.04/158.76 [8097]P145(x80973,x80971,x80972)+~P104(f331(x80973,x80972))+E(f331(f331(f80(a1),f331(f331(f81(a1),x80971),f819(x80972,x80971,x80973))),f818(x80972,x80971,x80973)),x80972)+~P104(f331(x80973,f817(x80972,x80971,x80973))) % 159.04/158.76 [8098]P145(x80983,x80981,x80982)+~P104(f331(x80983,x80982))+E(f331(f331(f80(a1),f331(f331(f81(a1),x80981),f820(x80982,x80981,x80983))),f817(x80982,x80981,x80983)),x80982)+~P104(f331(x80983,f818(x80982,x80981,x80983))) % 159.04/158.76 [8108]P146(x81083,x81081,x81082)+E(f331(f331(f80(a1),f331(f331(f81(a1),x81081),f810(x81082,x81081,x81083))),f809(x81082,x81081,x81083)),x81082)+~P104(f331(x81083,f816(x81082,x81081,x81083)))+~P104(f331(x81083,f2(a1))) % 159.04/158.76 [8109]P146(x81093,x81091,x81092)+E(f331(f331(f80(a1),f331(f331(f81(a1),x81091),f816(x81092,x81091,x81093))),f808(x81092,x81091,x81093)),x81092)+~P104(f331(x81093,f810(x81092,x81091,x81093)))+~P104(f331(x81093,f2(a1))) % 159.04/158.76 [8213]P146(x82133,x82131,x82132)+E(x82131,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x82131),f810(x82132,x82131,x82133))),f809(x82132,x82131,x82133)),x82132)+P104(f331(f331(f244(a1),f808(x82132,x82131,x82133)),f2(a1))) % 159.04/158.76 [8214]P145(x82143,x82141,x82142)+E(x82141,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x82141),f819(x82142,x82141,x82143))),f818(x82142,x82141,x82143)),x82142)+P104(f331(f331(f244(a1),f817(x82142,x82141,x82143)),f2(a1))) % 159.04/158.76 [8254]P145(x82543,x82541,x82542)+~P104(f331(x82543,x82542))+E(f331(f331(f80(a1),f331(f331(f81(a1),x82541),f819(x82542,x82541,x82543))),f818(x82542,x82541,x82543)),x82542)+P104(f331(f331(f244(a1),f817(x82542,x82541,x82543)),f2(a1))) % 159.04/158.76 [8259]P146(x82593,x82591,x82592)+E(f331(f331(f80(a1),f331(f331(f81(a1),x82591),f810(x82592,x82591,x82593))),f809(x82592,x82591,x82593)),x82592)+~P104(f331(x82593,f2(a1)))+P104(f331(f331(f244(a1),f808(x82592,x82591,x82593)),f2(a1))) % 159.04/158.76 [8388]P146(x83883,x83881,x83882)+E(x83881,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x83881),f816(x83882,x83881,x83883))),f808(x83882,x83881,x83883)),x83882)+E(f331(f331(f80(a1),f331(f331(f81(a1),x83881),f810(x83882,x83881,x83883))),f809(x83882,x83881,x83883)),x83882) % 159.04/158.76 [8389]P145(x83893,x83891,x83892)+E(x83891,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x83891),f820(x83892,x83891,x83893))),f817(x83892,x83891,x83893)),x83892)+E(f331(f331(f80(a1),f331(f331(f81(a1),x83891),f819(x83892,x83891,x83893))),f818(x83892,x83891,x83893)),x83892) % 159.04/158.76 [8413]P145(x84133,x84131,x84132)+~P104(f331(x84133,x84132))+E(f331(f331(f80(a1),f331(f331(f81(a1),x84131),f820(x84132,x84131,x84133))),f817(x84132,x84131,x84133)),x84132)+E(f331(f331(f80(a1),f331(f331(f81(a1),x84131),f819(x84132,x84131,x84133))),f818(x84132,x84131,x84133)),x84132) % 159.04/158.76 [8425]P146(x84253,x84251,x84252)+E(f331(f331(f80(a1),f331(f331(f81(a1),x84251),f816(x84252,x84251,x84253))),f808(x84252,x84251,x84253)),x84252)+E(f331(f331(f80(a1),f331(f331(f81(a1),x84251),f810(x84252,x84251,x84253))),f809(x84252,x84251,x84253)),x84252)+~P104(f331(x84253,f2(a1))) % 159.04/158.76 [9075]~P124(x90751)+~E(x90753,f2(x90751))+~E(x90752,f2(x90751))+P104(f331(f331(f244(x90751),f331(f331(f80(x90751),f331(f331(f81(x90751),x90752),x90752)),f331(f331(f81(x90751),x90753),x90753))),f2(x90751))) % 159.04/158.76 [10121]~P119(x101211)+~E(x101213,f2(x101211))+~E(x101212,f2(x101211))+P104(f331(f331(f244(x101211),f331(f331(f80(x101211),f331(f331(f255(x101211),x101212),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f255(x101211),x101213),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))),f2(x101211))) % 159.04/158.76 [4811]~E(x48113,x48111)+~P116(x48112)+E(x48111,f2(x48112))+E(f331(f331(f288(x48112),x48113),x48111),f78(x48112)) % 159.04/158.76 [4864]~P76(x48641)+~E(x48643,f194(x48641))+~E(x48642,f194(x48641))+E(f331(f331(f114(x48641),x48642),x48643),f194(x48641)) % 159.04/158.76 [4865]~P98(x48651)+~E(x48653,f253(x48651))+~E(x48652,f253(x48651))+E(f331(f331(f105(x48651),x48652),x48653),f253(x48651)) % 159.04/158.76 [4954]~P116(x49543)+E(x49541,x49542)+E(x49542,f2(x49543))+~E(f331(f331(f288(x49543),x49541),x49542),f78(x49543)) % 159.04/158.76 [4973]~P129(x49732)+E(x49731,f2(x49732))+E(x49733,f2(x49732))+~E(f331(f331(f81(x49732),x49733),x49731),f2(x49732)) % 159.04/158.76 [4974]~P140(x49742)+E(x49741,f2(x49742))+E(x49743,f2(x49742))+~E(f331(f331(f81(x49742),x49743),x49741),f2(x49742)) % 159.04/158.76 [5352]~P110(x53523)+E(x53521,x53522)+E(x53521,f331(f79(x53523),x53522))+~E(f331(f331(f81(x53523),x53521),x53521),f331(f331(f81(x53523),x53522),x53522)) % 159.04/158.76 [5392]~P81(x53921)+E(f331(f79(x53921),x53922),x53923)+~E(f331(f331(f114(x53921),x53922),x53923),f253(x53921))+~E(f331(f331(f105(x53921),x53922),x53923),f194(x53921)) % 159.04/158.76 [5471]~P119(x54713)+E(x54711,x54712)+P104(f331(f331(f245(x54713),x54712),x54711))+P104(f331(f331(f245(x54713),x54711),x54712)) % 159.04/158.76 [5472]~P107(x54723)+E(x54721,x54722)+P104(f331(f331(f245(x54723),x54722),x54721))+P104(f331(f331(f245(x54723),x54721),x54722)) % 159.04/158.76 [5473]~E(x54732,x54733)+~P107(x54731)+P104(f331(f331(f245(x54731),x54732),x54733))+P104(f331(f331(f244(x54731),x54732),x54733)) % 159.04/158.76 [5727]~P108(x57273)+E(x57271,x57272)+~P104(f331(f331(f244(x57273),x57272),x57271))+P104(f331(f331(f245(x57273),x57272),x57271)) % 159.04/158.76 [5729]~P107(x57293)+E(x57291,x57292)+~P104(f331(f331(f244(x57293),x57291),x57292))+P104(f331(f331(f245(x57293),x57291),x57292)) % 159.04/158.76 [5735]~P108(x57353)+E(x57351,x57352)+~P104(f331(f331(f244(x57353),x57351),x57352))+P104(f331(f331(f245(x57353),x57351),x57352)) % 159.04/158.76 [5837]P145(x58371,x58372,x58373)+~P104(f331(x58371,x58373))+P104(f331(f331(f245(a1),x58372),f2(a1)))+P104(f331(f331(f245(a1),f2(a1)),x58372)) % 159.04/158.76 [5884]P146(x58841,x58842,x58843)+~P104(f331(x58841,f2(a1)))+P104(f331(f331(f245(a1),x58842),f2(a1)))+P104(f331(f331(f245(a1),f2(a1)),x58842)) % 159.04/158.76 [5888]~P75(x58881)+E(f331(f331(f114(x58881),x58882),f11(x58881,x58883)),x58882)+~P104(f331(f62(x58881),x58883))+~P104(f331(f331(f333(x58881),x58882),x58883)) % 159.04/158.76 [5889]~P75(x58891)+E(f331(f331(f105(x58891),x58892),f10(x58891,x58893)),x58892)+~P104(f331(f62(x58891),x58893))+~P104(f331(f331(f333(x58891),x58892),x58893)) % 159.04/158.76 [5925]~P75(x59251)+E(f331(f331(f114(x59251),x59252),f10(x59251,x59253)),f10(x59251,x59253))+~P104(f331(f62(x59251),x59253))+~P104(f331(f331(f333(x59251),x59252),x59253)) % 159.04/158.76 [5926]~P75(x59261)+E(f331(f331(f105(x59261),x59262),f11(x59261,x59263)),f11(x59261,x59263))+~P104(f331(f62(x59261),x59263))+~P104(f331(f331(f333(x59261),x59262),x59263)) % 159.04/158.76 [5927]~P107(x59271)+E(f331(f331(f242(x59271),x59272),f14(x59271,x59273)),f14(x59271,x59273))+~P104(f331(f62(x59271),x59273))+~P104(f331(f331(f333(x59271),x59272),x59273)) % 159.04/158.76 [5928]~P107(x59281)+E(f331(f331(f243(x59281),x59282),f15(x59281,x59283)),f15(x59281,x59283))+~P104(f331(f62(x59281),x59283))+~P104(f331(f331(f333(x59281),x59282),x59283)) % 159.04/158.76 [5973]E(x59731,x59732)+~P108(x59733)+~P104(f331(f331(f244(x59733),x59732),x59731))+~P104(f331(f331(f244(x59733),x59731),x59732)) % 159.04/158.76 [6113]~P105(x61131)+P104(f331(f331(f245(x61131),x61133),x61132))+~P104(f331(f331(f244(x61131),x61133),x61132))+P104(f331(f331(f244(x61131),x61132),x61133)) % 159.04/158.76 [6134]~P107(x61341)+~P104(f331(f62(x61341),x61343))+P104(f331(f331(f244(x61341),x61342),f15(x61341,x61343)))+~P104(f331(f331(f333(x61341),x61342),x61343)) % 159.04/158.76 [6187]~P107(x61871)+E(f331(f331(f242(x61871),x61872),f13(x61871,f243(x61871),x61873)),x61872)+~P104(f331(f62(x61871),x61873))+~P104(f331(f331(f333(x61871),x61872),x61873)) % 159.04/158.76 [6188]~P107(x61881)+E(f331(f331(f243(x61881),x61882),f12(x61881,f242(x61881),x61883)),x61882)+~P104(f331(f62(x61881),x61883))+~P104(f331(f331(f333(x61881),x61882),x61883)) % 159.04/158.76 [6325]E(x63251,x63252)+~E(f331(f331(f22(a876),x63251),x63253),f331(f331(f22(a876),x63252),x63253))+~P104(f331(f331(f244(a876),x63253),x63251))+~P104(f331(f331(f244(a876),x63253),x63252)) % 159.04/158.76 [6352]~P107(x63521)+~P104(f331(f62(x63521),x63522))+~P104(f331(f331(f333(x63521),x63523),x63522))+P104(f331(f331(f244(x63521),f14(x63521,x63522)),x63523)) % 159.04/158.76 [6414]P146(x64142,x64141,x64143)+E(x64141,f2(a1))+P104(f331(f331(f245(a1),x64141),f808(x64143,x64141,x64142)))+P104(f331(f331(f245(a1),f2(a1)),x64141)) % 159.04/158.76 [6415]P145(x64152,x64151,x64153)+E(x64151,f2(a1))+P104(f331(f331(f245(a1),x64151),f817(x64153,x64151,x64152)))+P104(f331(f331(f245(a1),f2(a1)),x64151)) % 159.04/158.76 [6416]~P107(x64161)+E(f331(f331(f242(x64161),x64162),f12(x64161,f242(x64161),x64163)),f12(x64161,f242(x64161),x64163))+~P104(f331(f62(x64161),x64163))+~P104(f331(f331(f333(x64161),x64162),x64163)) % 159.04/158.76 [6417]~P107(x64171)+E(f331(f331(f243(x64171),x64172),f13(x64171,f243(x64171),x64173)),f13(x64171,f243(x64171),x64173))+~P104(f331(f62(x64171),x64173))+~P104(f331(f331(f333(x64171),x64172),x64173)) % 159.04/158.76 [6423]~P104(f331(x64231,x64232))+P104(f331(x64231,f503(x64232,x64231,x64233)))+P104(f331(x64231,f2(a876)))+~P104(f331(f331(f245(a876),x64232),x64233)) % 159.04/158.76 [6478]~P104(f331(x64781,x64782))+~P104(f331(f62(x64783),x64782))+P104(f331(x64781,f652(x64781,x64782,x64783)))+P104(f331(x64781,f194(f885(x64783,a871)))) % 159.04/158.76 [6491]~P119(x64911)+~P92(x64911)+P104(f331(f331(f244(x64911),f331(f107(x64911),x64912)),f331(f107(x64911),x64913)))+~P104(f331(f331(f244(a1),x64912),x64913)) % 159.04/158.76 [6492]~P119(x64921)+~P92(x64921)+P104(f331(f331(f245(x64921),f331(f107(x64921),x64922)),f331(f107(x64921),x64923)))+~P104(f331(f331(f245(a1),x64922),x64923)) % 159.04/158.76 [6495]~P104(f331(x64951,x64953))+~P104(f331(f62(x64952),x64953))+P104(f331(f62(x64952),f652(x64951,x64953,x64952)))+P104(f331(x64951,f194(f885(x64952,a871)))) % 159.04/158.76 [6528]P145(x65281,x65282,x65283)+~P104(f331(x65281,x65283))+P104(f331(f331(f245(a1),x65282),f817(x65283,x65282,x65281)))+P104(f331(f331(f245(a1),f2(a1)),x65282)) % 159.04/158.76 [6563]P146(x65631,x65632,x65633)+P104(f331(f331(f245(a1),x65632),f808(x65633,x65632,x65631)))+~P104(f331(x65631,f2(a1)))+P104(f331(f331(f245(a1),f2(a1)),x65632)) % 159.04/158.76 [6594]~P106(x65941)+~P93(x65941)+E(f331(f331(f242(x65941),f331(f107(x65941),x65942)),f331(f107(x65941),x65943)),f331(f107(x65941),x65943))+P104(f331(f331(f244(x65941),f331(f107(x65941),x65942)),f331(f107(x65941),x65943))) % 159.04/158.76 [6595]~P106(x65951)+~P93(x65951)+E(f331(f331(f243(x65951),f331(f107(x65951),x65952)),f331(f107(x65951),x65953)),f331(f107(x65951),x65952))+P104(f331(f331(f244(x65951),f331(f107(x65951),x65952)),f331(f107(x65951),x65953))) % 159.04/158.76 [6653]P146(x66532,x66531,x66533)+E(x66531,f2(a1))+~P104(f331(x66532,f816(x66533,x66531,x66532)))+P104(f331(f331(f245(a1),f2(a1)),x66531)) % 159.04/158.76 [6654]P145(x66542,x66541,x66543)+E(x66541,f2(a1))+~P104(f331(x66542,f817(x66543,x66541,x66542)))+P104(f331(f331(f245(a1),f2(a1)),x66541)) % 159.04/158.76 [6658]P104(f331(x66581,x66582))+~P104(f331(f62(x66583),x66582))+P104(f331(x66581,f727(x66581,x66582,x66583)))+~P104(f331(x66581,f194(f885(x66583,a871)))) % 159.04/158.76 [6678]P104(f331(x66781,x66782))+P104(f331(f62(x66783),f727(x66781,x66782,x66783)))+~P104(f331(f62(x66783),x66782))+~P104(f331(x66781,f194(f885(x66783,a871)))) % 159.04/158.76 [6743]P145(x67431,x67432,x67433)+~P104(f331(x67431,x67433))+~P104(f331(x67431,f817(x67433,x67432,x67431)))+P104(f331(f331(f245(a1),f2(a1)),x67432)) % 159.04/158.76 [6773]P146(x67731,x67732,x67733)+~P104(f331(x67731,f816(x67733,x67732,x67731)))+~P104(f331(x67731,f2(a1)))+P104(f331(f331(f245(a1),f2(a1)),x67732)) % 159.04/158.76 [6880]~P92(x68803)+~P119(x68803)+~P104(f331(f331(f244(x68803),f331(f107(x68803),x68801)),f331(f107(x68803),x68802)))+P104(f331(f331(f244(a1),x68801),x68802)) % 159.04/158.76 [6881]~P92(x68813)+~P119(x68813)+~P104(f331(f331(f245(x68813),f331(f107(x68813),x68811)),f331(f107(x68813),x68812)))+P104(f331(f331(f245(a1),x68811),x68812)) % 159.04/158.76 [6910]~P107(x69101)+~P30(x69101,x69103)+P30(x69101,f331(f331(f150(x69101),x69102),x69103))+~P104(f331(f331(f244(x69101),x69102),f629(x69103,x69102,x69101))) % 159.04/158.76 [6911]~P107(x69111)+~P30(x69111,x69113)+P30(x69111,f331(f331(f150(x69111),x69112),x69113))+~P104(f331(f331(f244(x69111),x69112),f630(x69113,x69112,x69111))) % 159.04/158.76 [6912]~P107(x69121)+~P30(x69121,x69123)+P30(x69121,f331(f331(f150(x69121),x69122),x69123))+~P104(f331(f331(f244(x69121),x69122),f740(x69122,x69123,x69121))) % 159.04/158.76 [6996]P146(x69962,x69961,x69963)+E(x69961,f2(a1))+P104(f331(f331(f245(a1),x69961),f2(a1)))+P104(f331(f331(f245(a1),f809(x69963,x69961,x69962)),x69961)) % 159.04/158.76 [6997]P145(x69972,x69971,x69973)+E(x69971,f2(a1))+P104(f331(f331(f245(a1),x69971),f2(a1)))+P104(f331(f331(f245(a1),f818(x69973,x69971,x69972)),x69971)) % 159.04/158.76 [7038]P146(x70382,x70381,x70383)+E(x70381,f2(a1))+P104(f331(f331(f244(a1),f808(x70383,x70381,x70382)),f2(a1)))+P104(f331(f331(f245(a1),f2(a1)),x70381)) % 159.04/158.76 [7039]P145(x70392,x70391,x70393)+E(x70391,f2(a1))+P104(f331(f331(f244(a1),f817(x70393,x70391,x70392)),f2(a1)))+P104(f331(f331(f245(a1),f2(a1)),x70391)) % 159.04/158.76 [7061]~P107(x70611)+~P30(x70611,x70613)+E(f331(f331(f147(x70611,x70611,f5(x70611)),x70612),f170(x70611,x70612,x70613)),x70613)+~P104(f331(f331(f333(x70611),x70612),f331(f172(x70611),x70613))) % 159.04/158.76 [7108]P145(x71081,x71082,x71083)+~P104(f331(x71081,x71083))+P104(f331(f331(f245(a1),x71082),f2(a1)))+P104(f331(f331(f245(a1),f818(x71083,x71082,x71081)),x71082)) % 159.04/158.76 [7114]~P106(x71141)+~P93(x71141)+E(f331(f331(f242(x71141),f331(f107(x71141),x71142)),f331(f107(x71141),x71143)),f331(f107(x71141),x71142))+~P104(f331(f331(f244(x71141),f331(f107(x71141),x71142)),f331(f107(x71141),x71143))) % 159.04/158.76 [7115]~P106(x71151)+~P93(x71151)+E(f331(f331(f243(x71151),f331(f107(x71151),x71152)),f331(f107(x71151),x71153)),f331(f107(x71151),x71153))+~P104(f331(f331(f244(x71151),f331(f107(x71151),x71152)),f331(f107(x71151),x71153))) % 159.04/158.76 [7129]P146(x71291,x71292,x71293)+~P104(f331(x71291,f2(a1)))+P104(f331(f331(f245(a1),x71292),f2(a1)))+P104(f331(f331(f245(a1),f809(x71293,x71292,x71291)),x71292)) % 159.04/158.76 [7137]P145(x71371,x71372,x71373)+~P104(f331(x71371,x71373))+P104(f331(f331(f244(a1),f817(x71373,x71372,x71371)),f2(a1)))+P104(f331(f331(f245(a1),f2(a1)),x71372)) % 159.04/158.76 [7161]P146(x71611,x71612,x71613)+~P104(f331(x71611,f2(a1)))+P104(f331(f331(f244(a1),f808(x71613,x71612,x71611)),f2(a1)))+P104(f331(f331(f245(a1),f2(a1)),x71612)) % 159.04/158.76 [7189]~P104(f331(x71891,x71892))+P104(f331(x71891,f2(a876)))+~P104(f331(f331(f245(a876),x71892),x71893))+P104(f331(f331(f245(a876),f503(x71892,x71891,x71893)),x71893)) % 159.04/158.76 [7206]~P107(x72061)+~P30(x72061,x72063)+P30(x72061,f331(f331(f150(x72061),x72062),x72063))+P104(f331(f331(f333(x72061),f629(x72063,x72062,x72061)),f331(f172(x72061),x72063))) % 159.04/158.76 [7207]~P107(x72071)+~P30(x72071,x72073)+P30(x72071,f331(f331(f150(x72071),x72072),x72073))+P104(f331(f331(f333(x72071),f630(x72073,x72072,x72071)),f331(f172(x72071),x72073))) % 159.04/158.76 [7208]~P107(x72081)+~P30(x72081,x72083)+P30(x72081,f331(f331(f150(x72081),x72082),x72083))+P104(f331(f331(f333(x72081),f740(x72082,x72083,x72081)),f331(f172(x72081),x72083))) % 159.04/158.76 [7312]~P107(x73121)+~P28(x73121)+~P104(f331(f331(f245(x73121),x73123),f40(x73121,x73122)))+P104(f331(f331(f333(x73121),f654(x73122,x73123,x73121)),x73122)) % 159.04/158.76 [7478]~P107(x74781)+~P28(x74781)+~P104(f331(f331(f245(x74781),f41(x74781,x74783)),x74782))+P104(f331(f331(f333(x74781),f662(x74782,x74783,x74781)),x74783)) % 159.04/158.76 [7479]~P107(x74791)+~P28(x74791)+~P104(f331(f331(f245(x74791),f41(x74791,x74793)),x74792))+P104(f331(f331(f245(x74791),f662(x74792,x74793,x74791)),x74792)) % 159.04/158.76 [7494]P146(x74942,x74941,x74943)+E(x74941,f2(a1))+P104(f331(f331(f245(a1),x74941),f808(x74943,x74941,x74942)))+P104(f331(f331(f245(a1),f809(x74943,x74941,x74942)),x74941)) % 159.04/158.76 [7495]P145(x74952,x74951,x74953)+E(x74951,f2(a1))+P104(f331(f331(f245(a1),x74951),f817(x74953,x74951,x74952)))+P104(f331(f331(f245(a1),f818(x74953,x74951,x74952)),x74951)) % 159.04/158.76 [7585]P146(x75853,x75851,x75852)+E(x75851,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x75851),f816(x75852,x75851,x75853))),f808(x75852,x75851,x75853)),x75852)+P104(f331(f331(f245(a1),f2(a1)),x75851)) % 159.04/158.76 [7586]P145(x75863,x75861,x75862)+E(x75861,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x75861),f820(x75862,x75861,x75863))),f817(x75862,x75861,x75863)),x75862)+P104(f331(f331(f245(a1),f2(a1)),x75861)) % 159.04/158.76 [7588]~P124(x75881)+~P104(f331(f331(f244(x75881),x75883),f2(x75881)))+P104(f331(f331(f244(x75881),f331(f331(f81(x75881),x75882),x75883)),f2(x75881)))+~P104(f331(f331(f244(x75881),f2(x75881)),x75882)) % 159.04/158.76 [7589]~P124(x75891)+~P104(f331(f331(f244(x75891),x75892),f2(x75891)))+P104(f331(f331(f244(x75891),f331(f331(f81(x75891),x75892),x75893)),f2(x75891)))+~P104(f331(f331(f244(x75891),f2(x75891)),x75893)) % 159.04/158.76 [7591]~P132(x75911)+~P104(f331(f331(f244(x75911),x75913),f2(x75911)))+P104(f331(f331(f244(x75911),f331(f331(f81(x75911),x75912),x75913)),f2(x75911)))+~P104(f331(f331(f244(x75911),f2(x75911)),x75912)) % 159.04/158.76 [7593]~P132(x75931)+~P104(f331(f331(f244(x75931),x75932),f2(x75931)))+P104(f331(f331(f244(x75931),f331(f331(f81(x75931),x75932),x75933)),f2(x75931)))+~P104(f331(f331(f244(x75931),f2(x75931)),x75933)) % 159.04/158.77 [7594]~P61(x75941)+~P104(f331(f331(f244(x75941),x75943),f2(x75941)))+P104(f331(f331(f244(x75941),f331(f331(f288(x75941),x75942),x75943)),f2(x75941)))+~P104(f331(f331(f244(x75941),f2(x75941)),x75942)) % 159.04/158.77 [7595]~P61(x75951)+~P104(f331(f331(f244(x75951),x75952),f2(x75951)))+P104(f331(f331(f244(x75951),f331(f331(f288(x75951),x75952),x75953)),f2(x75951)))+~P104(f331(f331(f244(x75951),f2(x75951)),x75953)) % 159.04/158.77 [7596]~P62(x75961)+~P104(f331(f331(f244(x75961),x75962),f2(x75961)))+P104(f331(f331(f244(x75961),f331(f331(f288(x75961),x75962),x75963)),f2(x75961)))+~P104(f331(f331(f245(x75961),f2(x75961)),x75963)) % 159.04/158.77 [7597]~P62(x75971)+~P104(f331(f331(f245(x75971),x75973),f2(x75971)))+P104(f331(f331(f244(x75971),f331(f331(f288(x75971),x75972),x75973)),f2(x75971)))+~P104(f331(f331(f244(x75971),f2(x75971)),x75972)) % 159.04/158.77 [7599]~P131(x75991)+~P104(f331(f331(f245(x75991),x75993),f2(x75991)))+P104(f331(f331(f245(x75991),f331(f331(f81(x75991),x75992),x75993)),f2(x75991)))+~P104(f331(f331(f245(x75991),f2(x75991)),x75992)) % 159.04/158.77 [7600]~P131(x76001)+~P104(f331(f331(f245(x76001),x76002),f2(x76001)))+P104(f331(f331(f245(x76001),f331(f331(f81(x76001),x76002),x76003)),f2(x76001)))+~P104(f331(f331(f245(x76001),f2(x76001)),x76003)) % 159.04/158.77 [7601]~P61(x76011)+~P104(f331(f331(f245(x76011),x76013),f2(x76011)))+P104(f331(f331(f245(x76011),f331(f331(f288(x76011),x76012),x76013)),f2(x76011)))+~P104(f331(f331(f245(x76011),f2(x76011)),x76012)) % 159.04/158.77 [7602]~P61(x76021)+~P104(f331(f331(f245(x76021),x76022),f2(x76021)))+P104(f331(f331(f245(x76021),f331(f331(f288(x76021),x76022),x76023)),f2(x76021)))+~P104(f331(f331(f245(x76021),f2(x76021)),x76023)) % 159.04/158.77 [7603]~P62(x76031)+~P104(f331(f331(f245(x76031),x76033),f2(x76031)))+P104(f331(f331(f245(x76031),f331(f331(f288(x76031),x76032),x76033)),f2(x76031)))+~P104(f331(f331(f245(x76031),f2(x76031)),x76032)) % 159.04/158.77 [7604]~P62(x76041)+~P104(f331(f331(f245(x76041),x76042),f2(x76041)))+P104(f331(f331(f245(x76041),f331(f331(f288(x76041),x76042),x76043)),f2(x76041)))+~P104(f331(f331(f245(x76041),f2(x76041)),x76043)) % 159.04/158.77 [7619]P145(x76191,x76192,x76193)+~P104(f331(x76191,x76193))+P104(f331(f331(f245(a1),x76192),f817(x76193,x76192,x76191)))+P104(f331(f331(f245(a1),f818(x76193,x76192,x76191)),x76192)) % 159.04/158.77 [7632]P146(x76321,x76322,x76323)+P104(f331(f331(f245(a1),x76322),f808(x76323,x76322,x76321)))+~P104(f331(x76321,f2(a1)))+P104(f331(f331(f245(a1),f809(x76323,x76322,x76321)),x76322)) % 159.04/158.77 [7682]P146(x76822,x76821,x76823)+E(x76821,f2(a1))+~P104(f331(x76822,f816(x76823,x76821,x76822)))+P104(f331(f331(f245(a1),f809(x76823,x76821,x76822)),x76821)) % 159.04/158.77 [7683]P145(x76832,x76831,x76833)+E(x76831,f2(a1))+~P104(f331(x76832,f817(x76833,x76831,x76832)))+P104(f331(f331(f245(a1),f818(x76833,x76831,x76832)),x76831)) % 159.04/158.77 [7694]P145(x76943,x76941,x76942)+~P104(f331(x76943,x76942))+E(f331(f331(f80(a1),f331(f331(f81(a1),x76941),f820(x76942,x76941,x76943))),f817(x76942,x76941,x76943)),x76942)+P104(f331(f331(f245(a1),f2(a1)),x76941)) % 159.04/158.77 [7712]P146(x77123,x77121,x77122)+E(f331(f331(f80(a1),f331(f331(f81(a1),x77121),f816(x77122,x77121,x77123))),f808(x77122,x77121,x77123)),x77122)+~P104(f331(x77123,f2(a1)))+P104(f331(f331(f245(a1),f2(a1)),x77121)) % 159.04/158.77 [7737]~P104(f331(x77371,x77373))+~P104(f331(f62(x77372),x77373))+P104(f331(f331(f333(x77372),f646(x77371,x77373,x77372)),f652(x77371,x77373,x77372)))+P104(f331(x77371,f194(f885(x77372,a871)))) % 159.04/158.77 [7748]P145(x77481,x77482,x77483)+~P104(f331(x77481,x77483))+~P104(f331(x77481,f817(x77483,x77482,x77481)))+P104(f331(f331(f245(a1),f818(x77483,x77482,x77481)),x77482)) % 159.04/158.77 [7753]P146(x77531,x77532,x77533)+~P104(f331(x77531,f816(x77533,x77532,x77531)))+~P104(f331(x77531,f2(a1)))+P104(f331(f331(f245(a1),f809(x77533,x77532,x77531)),x77532)) % 159.04/158.77 [7856]~P124(x78561)+~P104(f331(f331(f244(x78561),f331(f331(f81(x78561),x78563),x78562)),f2(x78561)))+P104(f331(f331(f244(x78561),x78562),f2(x78561)))+P104(f331(f331(f244(x78561),f2(x78561)),x78562)) % 159.04/158.77 [7857]~P124(x78571)+~P104(f331(f331(f244(x78571),f331(f331(f81(x78571),x78572),x78573)),f2(x78571)))+P104(f331(f331(f244(x78571),x78572),f2(x78571)))+P104(f331(f331(f244(x78571),f2(x78571)),x78572)) % 159.04/158.77 [7858]~P61(x78581)+~P104(f331(f331(f244(x78581),f331(f331(f288(x78581),x78583),x78582)),f2(x78581)))+P104(f331(f331(f244(x78581),x78582),f2(x78581)))+P104(f331(f331(f244(x78581),f2(x78581)),x78582)) % 159.04/158.77 [7859]~P61(x78591)+~P104(f331(f331(f244(x78591),f331(f331(f288(x78591),x78592),x78593)),f2(x78591)))+P104(f331(f331(f244(x78591),x78592),f2(x78591)))+P104(f331(f331(f244(x78591),f2(x78591)),x78592)) % 159.04/158.77 [7860]~P61(x78601)+~P104(f331(f331(f245(x78601),f331(f331(f288(x78601),x78603),x78602)),f2(x78601)))+P104(f331(f331(f245(x78601),x78602),f2(x78601)))+P104(f331(f331(f245(x78601),f2(x78601)),x78602)) % 159.04/158.77 [7861]~P61(x78611)+~P104(f331(f331(f245(x78611),f331(f331(f288(x78611),x78612),x78613)),f2(x78611)))+P104(f331(f331(f245(x78611),x78612),f2(x78611)))+P104(f331(f331(f245(x78611),f2(x78611)),x78612)) % 159.04/158.77 [7885]~P124(x78851)+~P104(f331(f331(f244(x78851),f331(f331(f81(x78851),x78852),x78853)),f2(x78851)))+P104(f331(f331(f244(x78851),f2(x78851)),x78852))+P104(f331(f331(f244(x78851),f2(x78851)),x78853)) % 159.04/158.77 [7886]~P61(x78861)+~P104(f331(f331(f244(x78861),f331(f331(f288(x78861),x78862),x78863)),f2(x78861)))+P104(f331(f331(f244(x78861),f2(x78861)),x78862))+P104(f331(f331(f244(x78861),f2(x78861)),x78863)) % 159.04/158.77 [7887]~P61(x78871)+~P104(f331(f331(f245(x78871),f331(f331(f288(x78871),x78872),x78873)),f2(x78871)))+P104(f331(f331(f245(x78871),f2(x78871)),x78872))+P104(f331(f331(f245(x78871),f2(x78871)),x78873)) % 159.04/158.77 [7908]P146(x79082,x79081,x79083)+E(x79081,f2(a1))+P104(f331(f331(f244(a1),f808(x79083,x79081,x79082)),f2(a1)))+P104(f331(f331(f245(a1),f809(x79083,x79081,x79082)),x79081)) % 159.04/158.77 [7909]P145(x79092,x79091,x79093)+E(x79091,f2(a1))+P104(f331(f331(f244(a1),f817(x79093,x79091,x79092)),f2(a1)))+P104(f331(f331(f245(a1),f818(x79093,x79091,x79092)),x79091)) % 159.04/158.77 [7916]~P122(x79161)+~P104(f331(f331(f245(x79161),x79162),f78(x79161)))+P104(f331(f331(f245(x79161),f331(f331(f255(x79161),x79162),f331(a116,x79163))),f78(x79161)))+~P104(f331(f331(f245(x79161),f2(x79161)),x79162)) % 159.04/158.77 [7971]~P107(x79711)+~E(x79713,f117(x79711))+~P30(x79711,f331(f168(x79711),x79713))+E(f331(f141(x79711,x79711,f331(f7(x79711,x79711,x79711),f243(x79711)),x79712),f331(f168(x79711),x79713)),x79712) % 159.04/158.77 [7973]P145(x79731,x79732,x79733)+~P104(f331(x79731,x79733))+P104(f331(f331(f244(a1),f817(x79733,x79732,x79731)),f2(a1)))+P104(f331(f331(f245(a1),f818(x79733,x79732,x79731)),x79732)) % 159.04/158.77 [7983]P146(x79831,x79832,x79833)+~P104(f331(x79831,f2(a1)))+P104(f331(f331(f244(a1),f808(x79833,x79832,x79831)),f2(a1)))+P104(f331(f331(f245(a1),f809(x79833,x79832,x79831)),x79832)) % 159.04/158.77 [8208]P146(x82083,x82081,x82082)+E(x82081,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x82081),f816(x82082,x82081,x82083))),f808(x82082,x82081,x82083)),x82082)+P104(f331(f331(f245(a1),f809(x82082,x82081,x82083)),x82081)) % 159.04/158.77 [8209]P145(x82093,x82091,x82092)+E(x82091,f2(a1))+E(f331(f331(f80(a1),f331(f331(f81(a1),x82091),f820(x82092,x82091,x82093))),f817(x82092,x82091,x82093)),x82092)+P104(f331(f331(f245(a1),f818(x82092,x82091,x82093)),x82091)) % 159.04/158.77 [8245]P145(x82453,x82451,x82452)+~P104(f331(x82453,x82452))+E(f331(f331(f80(a1),f331(f331(f81(a1),x82451),f820(x82452,x82451,x82453))),f817(x82452,x82451,x82453)),x82452)+P104(f331(f331(f245(a1),f818(x82452,x82451,x82453)),x82451)) % 159.04/158.77 [8246]~P68(x82461)+~P69(x82461)+~P41(x82463)+E(f331(f331(f6(a876,x82461),f331(f331(f8(a1,x82461,a876),x82462),f104(a1))),f331(f309(a1,a876,a108),x82463)),f331(f331(f6(a1,x82461),x82462),x82463)) % 159.04/158.77 [8247]~P68(x82471)+~P69(x82471)+~P41(x82473)+E(f331(f331(f9(a876,x82471),f331(f331(f8(a1,x82471,a876),x82472),f104(a1))),f331(f309(a1,a876,a108),x82473)),f331(f331(f9(a1,x82471),x82472),x82473)) % 159.04/158.77 [8256]P146(x82563,x82561,x82562)+E(f331(f331(f80(a1),f331(f331(f81(a1),x82561),f816(x82562,x82561,x82563))),f808(x82562,x82561,x82563)),x82562)+~P104(f331(x82563,f2(a1)))+P104(f331(f331(f245(a1),f809(x82562,x82561,x82563)),x82561)) % 159.04/158.77 [8275]~E(x82752,f2(a876))+~E(f331(f264(a876,a876),x82753),f2(a876))+~E(x82751,f331(f331(f80(a876),f331(f331(f81(a876),f331(f264(a876,a876),x82753)),x82752)),f331(f268(a876,a876),x82753)))+P104(f331(f48(x82751,x82752),x82753)) % 159.04/158.77 [8329]P104(f331(x83291,x83292))+~P104(f331(f331(f333(x83293),f729(x83291,x83292,x83293)),f727(x83291,x83292,x83293)))+~P104(f331(f62(x83293),x83292))+~P104(f331(x83291,f194(f885(x83293,a871)))) % 159.04/158.77 [8946]P104(f331(x89461,x89462))+~P104(f331(f62(x89463),x89462))+~P104(f331(x89461,f331(f331(f308(x89463),f729(x89461,x89462,x89463)),f727(x89461,x89462,x89463))))+~P104(f331(x89461,f194(f885(x89463,a871)))) % 159.04/158.77 [9179]P104(f331(f331(f244(a1),x91791),f2(a1)))+~P104(f331(f331(f245(a1),f331(f331(f80(a1),f331(f331(f81(a1),x91793),x91791)),x91792)),f2(a1)))+~P104(f331(f331(f244(a1),f2(a1)),x91792))+~P104(f331(f331(f245(a1),f2(a1)),x91793)) % 159.04/158.77 [5798]~P75(x57982)+E(x57981,f194(f885(x57982,a871)))+~P104(f331(f62(x57982),x57981))+E(f11(x57982,f331(f331(f308(x57982),x57983),x57981)),f331(f331(f105(x57982),x57983),f11(x57982,x57981))) % 159.04/158.77 [5799]~P75(x57992)+E(x57991,f194(f885(x57992,a871)))+~P104(f331(f62(x57992),x57991))+E(f10(x57992,f331(f331(f308(x57992),x57993),x57991)),f331(f331(f114(x57992),x57993),f10(x57992,x57991))) % 159.04/158.77 [5800]~P107(x58002)+E(x58001,f194(f885(x58002,a871)))+~P104(f331(f62(x58002),x58001))+E(f14(x58002,f331(f331(f308(x58002),x58003),x58001)),f331(f331(f242(x58002),x58003),f14(x58002,x58001))) % 159.04/158.77 [5801]~P107(x58012)+E(x58011,f194(f885(x58012,a871)))+~P104(f331(f62(x58012),x58011))+E(f15(x58012,f331(f331(f308(x58012),x58013),x58011)),f331(f331(f243(x58012),x58013),f15(x58012,x58011))) % 159.04/158.77 [6110]~P124(x61101)+~E(x61103,f2(x61101))+~E(x61102,f2(x61101))+E(f331(f331(f80(x61101),f331(f331(f81(x61101),x61102),x61102)),f331(f331(f81(x61101),x61103),x61103)),f2(x61101)) % 159.04/158.77 [6181]~P95(x61812)+E(x61811,f194(f885(x61812,a871)))+~P104(f331(f62(x61812),x61811))+E(f331(f64(x61812,f81(x61812)),f331(f331(f308(x61812),x61813),x61811)),f331(f331(f81(x61812),x61813),f331(f64(x61812,f81(x61812)),x61811))) % 159.04/158.77 [6304]~P107(x63042)+E(x63041,f194(f885(x63042,a871)))+~P104(f331(f62(x63042),x63041))+E(f12(x63042,f242(x63042),f331(f331(f308(x63042),x63043),x63041)),f331(f331(f242(x63042),x63043),f12(x63042,f242(x63042),x63041))) % 159.04/158.77 [6305]~P107(x63052)+E(x63051,f194(f885(x63052,a871)))+~P104(f331(f62(x63052),x63051))+E(f13(x63052,f243(x63052),f331(f331(f308(x63052),x63053),x63051)),f331(f331(f243(x63052),x63053),f13(x63052,f243(x63052),x63051))) % 159.04/158.77 [6808]~P66(x68081)+~P104(f331(f62(x68081),x68083))+E(f331(f64(x68081,f81(x68081)),f331(f331(f308(x68081),x68082),x68083)),f331(f331(f65(x68081,x68081,f81(x68081)),x68082),x68083))+P104(f331(f331(f333(x68081),x68082),x68083)) % 159.04/158.77 [6888]~E(f331(f331(f80(a1),x68882),f331(f331(f81(a1),x68883),x68881)),x68883)+~P104(f331(f331(f245(a1),f2(a1)),x68883))+P104(f331(f331(f244(a1),f78(a1)),x68881))+~P104(f331(f331(f245(a1),x68882),x68883)) % 159.04/158.77 [6917]~E(f331(f331(f80(a1),x69172),f331(f331(f81(a1),x69173),x69171)),x69173)+P104(f331(f331(f244(a1),x69171),f78(a1)))+~P104(f331(f331(f244(a1),f2(a1)),x69172))+~P104(f331(f331(f245(a1),f2(a1)),x69173)) % 159.04/158.77 [6933]E(x69331,f2(a876))+~P104(f331(f48(x69333,x69331),x69332))+~P104(f331(f331(f245(a876),f2(a876)),x69331))+P104(f331(f331(f245(a876),f331(f268(a876,a876),x69332)),x69331)) % 159.04/158.77 [6963]~P135(x69631)+~P104(f331(f331(f244(x69631),x69632),f2(x69631)))+~P104(f331(f331(f244(x69631),x69633),f2(x69631)))+E(f331(f331(f81(x69631),f331(f75(x69631),x69632)),f331(f75(x69631),x69633)),f331(f75(x69631),f331(f331(f81(x69631),x69632),x69633))) % 159.04/158.77 [7015]~P135(x70151)+~P104(f331(f331(f244(x70151),x70152),f2(x70151)))+E(f331(f331(f81(x70151),f331(f75(x70151),x70152)),f331(f75(x70151),x70153)),f331(f75(x70151),f331(f331(f81(x70151),x70152),x70153)))+~P104(f331(f331(f244(x70151),f2(x70151)),x70153)) % 159.04/158.77 [7016]~P135(x70161)+~P104(f331(f331(f244(x70161),x70163),f2(x70161)))+E(f331(f331(f81(x70161),f331(f75(x70161),x70162)),f331(f75(x70161),x70163)),f331(f75(x70161),f331(f331(f81(x70161),x70162),x70163)))+~P104(f331(f331(f244(x70161),f2(x70161)),x70162)) % 159.04/158.77 [7070]~P135(x70701)+E(f331(f331(f81(x70701),f331(f75(x70701),x70702)),f331(f75(x70701),x70703)),f331(f75(x70701),f331(f331(f81(x70701),x70702),x70703)))+~P104(f331(f331(f244(x70701),f2(x70701)),x70702))+~P104(f331(f331(f244(x70701),f2(x70701)),x70703)) % 159.04/158.77 [7087]~P125(x70871)+~P104(f331(f331(f244(x70871),x70873),f2(x70871)))+~P104(f331(f331(f244(x70871),x70872),f2(x70871)))+P104(f331(f331(f244(x70871),f2(x70871)),f331(f331(f81(x70871),x70872),x70873))) % 159.04/158.77 [7088]~P124(x70881)+~P104(f331(f331(f244(x70881),x70883),f2(x70881)))+~P104(f331(f331(f244(x70881),x70882),f2(x70881)))+P104(f331(f331(f244(x70881),f2(x70881)),f331(f331(f81(x70881),x70882),x70883))) % 159.04/158.77 [7089]~P61(x70891)+~P104(f331(f331(f244(x70891),x70893),f2(x70891)))+~P104(f331(f331(f244(x70891),x70892),f2(x70891)))+P104(f331(f331(f244(x70891),f2(x70891)),f331(f331(f288(x70891),x70892),x70893))) % 159.04/158.77 [7090]~P62(x70901)+~P104(f331(f331(f245(x70901),x70903),f2(x70901)))+~P104(f331(f331(f244(x70901),x70902),f2(x70901)))+P104(f331(f331(f244(x70901),f2(x70901)),f331(f331(f288(x70901),x70902),x70903))) % 159.04/158.77 [7091]~P124(x70911)+~P104(f331(f331(f245(x70911),x70913),f2(x70911)))+~P104(f331(f331(f245(x70911),x70912),f2(x70911)))+P104(f331(f331(f245(x70911),f2(x70911)),f331(f331(f81(x70911),x70912),x70913))) % 159.04/158.77 [7092]~P61(x70921)+~P104(f331(f331(f245(x70921),x70923),f2(x70921)))+~P104(f331(f331(f245(x70921),x70922),f2(x70921)))+P104(f331(f331(f245(x70921),f2(x70921)),f331(f331(f288(x70921),x70922),x70923))) % 159.04/158.77 [7093]~P62(x70931)+~P104(f331(f331(f245(x70931),x70933),f2(x70931)))+~P104(f331(f331(f245(x70931),x70932),f2(x70931)))+P104(f331(f331(f245(x70931),f2(x70931)),f331(f331(f288(x70931),x70932),x70933))) % 159.04/158.77 [7094]~P122(x70941)+~P104(f331(f331(f245(a876),f2(a876)),x70943))+~P104(f331(f331(f245(x70941),f78(x70941)),x70942))+P104(f331(f331(f245(x70941),f78(x70941)),f331(f331(f255(x70941),x70942),x70943))) % 159.04/158.77 [7190]~P125(x71901)+~P104(f331(f331(f244(x71901),f2(x71901)),x71903))+~P104(f331(f331(f244(x71901),f2(x71901)),x71902))+P104(f331(f331(f244(x71901),f2(x71901)),f331(f331(f81(x71901),x71902),x71903))) % 159.04/158.77 [7191]~P124(x71911)+~P104(f331(f331(f244(x71911),f2(x71911)),x71913))+~P104(f331(f331(f244(x71911),f2(x71911)),x71912))+P104(f331(f331(f244(x71911),f2(x71911)),f331(f331(f81(x71911),x71912),x71913))) % 159.04/158.77 [7192]~P132(x71921)+~P104(f331(f331(f244(x71921),f2(x71921)),x71923))+~P104(f331(f331(f244(x71921),f2(x71921)),x71922))+P104(f331(f331(f244(x71921),f2(x71921)),f331(f331(f81(x71921),x71922),x71923))) % 159.04/158.77 [7194]~P61(x71941)+~P104(f331(f331(f244(x71941),f2(x71941)),x71943))+~P104(f331(f331(f244(x71941),f2(x71941)),x71942))+P104(f331(f331(f244(x71941),f2(x71941)),f331(f331(f288(x71941),x71942),x71943))) % 159.04/158.77 [7195]~P62(x71951)+~P104(f331(f331(f245(x71951),f2(x71951)),x71953))+~P104(f331(f331(f244(x71951),f2(x71951)),x71952))+P104(f331(f331(f244(x71951),f2(x71951)),f331(f331(f288(x71951),x71952),x71953))) % 159.04/158.77 [7196]~P122(x71961)+~P104(f331(f331(f245(x71961),f78(x71961)),x71963))+~P104(f331(f331(f245(x71961),f78(x71961)),x71962))+P104(f331(f331(f245(x71961),f78(x71961)),f331(f331(f81(x71961),x71962),x71963))) % 159.04/158.77 [7197]~P131(x71971)+~P104(f331(f331(f245(x71971),f2(x71971)),x71973))+~P104(f331(f331(f245(x71971),f2(x71971)),x71972))+P104(f331(f331(f245(x71971),f2(x71971)),f331(f331(f81(x71971),x71972),x71973))) % 159.04/158.77 [7200]~P87(x72001)+~P104(f331(f331(f245(x72001),f2(x72001)),x72003))+~P104(f331(f331(f245(x72001),f2(x72001)),x72002))+P104(f331(f331(f245(x72001),f2(x72001)),f331(f331(f80(x72001),x72002),x72003))) % 159.04/158.77 [7201]~P61(x72011)+~P104(f331(f331(f245(x72011),f2(x72011)),x72013))+~P104(f331(f331(f245(x72011),f2(x72011)),x72012))+P104(f331(f331(f245(x72011),f2(x72011)),f331(f331(f288(x72011),x72012),x72013))) % 159.04/158.77 [7202]~P62(x72021)+~P104(f331(f331(f245(x72021),f2(x72021)),x72023))+~P104(f331(f331(f245(x72021),f2(x72021)),x72022))+P104(f331(f331(f245(x72021),f2(x72021)),f331(f331(f288(x72021),x72022),x72023))) % 159.04/158.77 [7273]~P75(x72731)+~P104(f331(f62(x72731),x72733))+E(f11(x72731,f331(f331(f308(x72731),x72732),x72733)),x72732)+~E(f331(f331(f22(f885(x72731,a871)),x72733),f331(f331(f308(x72731),x72732),f194(f885(x72731,a871)))),f194(f885(x72731,a871))) % 159.04/158.77 [7274]~P75(x72741)+~P104(f331(f62(x72741),x72743))+E(f10(x72741,f331(f331(f308(x72741),x72742),x72743)),x72742)+~E(f331(f331(f22(f885(x72741,a871)),x72743),f331(f331(f308(x72741),x72742),f194(f885(x72741,a871)))),f194(f885(x72741,a871))) % 159.04/158.77 [7275]~P107(x72751)+~P104(f331(f62(x72751),x72753))+E(f14(x72751,f331(f331(f308(x72751),x72752),x72753)),x72752)+~E(f331(f331(f22(f885(x72751,a871)),x72753),f331(f331(f308(x72751),x72752),f194(f885(x72751,a871)))),f194(f885(x72751,a871))) % 159.04/158.77 [7276]~P107(x72761)+~P104(f331(f62(x72761),x72763))+E(f15(x72761,f331(f331(f308(x72761),x72762),x72763)),x72762)+~E(f331(f331(f22(f885(x72761,a871)),x72763),f331(f331(f308(x72761),x72762),f194(f885(x72761,a871)))),f194(f885(x72761,a871))) % 159.04/158.77 [7277]~P124(x72771)+P104(f331(f331(f244(x72771),x72772),f2(x72771)))+P104(f331(f331(f244(x72771),f2(x72771)),x72773))+~P104(f331(f331(f244(x72771),f2(x72771)),f331(f331(f81(x72771),x72773),x72772))) % 159.04/158.77 [7278]~P124(x72781)+P104(f331(f331(f244(x72781),x72782),f2(x72781)))+P104(f331(f331(f244(x72781),f2(x72781)),x72783))+~P104(f331(f331(f244(x72781),f2(x72781)),f331(f331(f81(x72781),x72782),x72783))) % 159.04/158.77 [7279]~P61(x72791)+P104(f331(f331(f244(x72791),x72792),f2(x72791)))+P104(f331(f331(f244(x72791),f2(x72791)),x72793))+~P104(f331(f331(f244(x72791),f2(x72791)),f331(f331(f288(x72791),x72793),x72792))) % 159.04/158.77 [7280]~P61(x72801)+P104(f331(f331(f244(x72801),x72802),f2(x72801)))+P104(f331(f331(f244(x72801),f2(x72801)),x72803))+~P104(f331(f331(f244(x72801),f2(x72801)),f331(f331(f288(x72801),x72802),x72803))) % 159.04/158.77 [7281]~P124(x72811)+P104(f331(f331(f244(x72811),x72812),f2(x72811)))+P104(f331(f331(f244(x72811),f2(x72811)),x72812))+~P104(f331(f331(f244(x72811),f2(x72811)),f331(f331(f81(x72811),x72813),x72812))) % 159.04/158.77 [7282]~P124(x72821)+P104(f331(f331(f244(x72821),x72822),f2(x72821)))+P104(f331(f331(f244(x72821),f2(x72821)),x72822))+~P104(f331(f331(f244(x72821),f2(x72821)),f331(f331(f81(x72821),x72822),x72823))) % 159.04/158.77 [7283]~P61(x72831)+P104(f331(f331(f244(x72831),x72832),f2(x72831)))+P104(f331(f331(f244(x72831),f2(x72831)),x72832))+~P104(f331(f331(f244(x72831),f2(x72831)),f331(f331(f288(x72831),x72833),x72832))) % 159.04/158.77 [7284]~P61(x72841)+P104(f331(f331(f244(x72841),x72842),f2(x72841)))+P104(f331(f331(f244(x72841),f2(x72841)),x72842))+~P104(f331(f331(f244(x72841),f2(x72841)),f331(f331(f288(x72841),x72842),x72843))) % 159.04/158.77 [7285]~P61(x72851)+P104(f331(f331(f245(x72851),x72852),f2(x72851)))+P104(f331(f331(f245(x72851),f2(x72851)),x72853))+~P104(f331(f331(f245(x72851),f2(x72851)),f331(f331(f288(x72851),x72853),x72852))) % 159.04/158.77 [7286]~P61(x72861)+P104(f331(f331(f245(x72861),x72862),f2(x72861)))+P104(f331(f331(f245(x72861),f2(x72861)),x72863))+~P104(f331(f331(f245(x72861),f2(x72861)),f331(f331(f288(x72861),x72862),x72863))) % 159.04/158.77 [7287]~P61(x72871)+P104(f331(f331(f245(x72871),x72872),f2(x72871)))+P104(f331(f331(f245(x72871),f2(x72871)),x72872))+~P104(f331(f331(f245(x72871),f2(x72871)),f331(f331(f288(x72871),x72873),x72872))) % 159.04/158.77 [7288]~P61(x72881)+P104(f331(f331(f245(x72881),x72882),f2(x72881)))+P104(f331(f331(f245(x72881),f2(x72881)),x72882))+~P104(f331(f331(f245(x72881),f2(x72881)),f331(f331(f288(x72881),x72882),x72883))) % 159.04/158.77 [7378]~E(f331(f331(f105(f885(x73781,a871)),f331(f172(x73781),x73782)),f331(f172(x73781),x73783)),f194(f885(x73781,a871)))+~P104(f331(f136(x73781),x73783))+~P104(f331(f136(x73781),x73782))+P104(f331(f136(x73781),f331(f331(f126(x73781),x73782),x73783))) % 159.04/158.77 [7379]~P107(x73791)+~P104(f331(f62(x73791),x73793))+E(f12(x73791,f242(x73791),f331(f331(f308(x73791),x73792),x73793)),x73792)+~E(f331(f331(f22(f885(x73791,a871)),x73793),f331(f331(f308(x73791),x73792),f194(f885(x73791,a871)))),f194(f885(x73791,a871))) % 159.04/158.77 [7380]~P107(x73801)+~P104(f331(f62(x73801),x73803))+E(f13(x73801,f243(x73801),f331(f331(f308(x73801),x73802),x73803)),x73802)+~E(f331(f331(f22(f885(x73801,a871)),x73803),f331(f331(f308(x73801),x73802),f194(f885(x73801,a871)))),f194(f885(x73801,a871))) % 159.04/158.77 [7396]~P86(x73961)+~P104(f331(f331(f244(x73961),x73962),x73963))+~P104(f331(f331(f244(x73961),f331(f79(x73961),x73962)),x73963))+P104(f331(f331(f244(x73961),f331(f75(x73961),x73962)),x73963)) % 159.04/158.77 [7397]~P119(x73971)+~P104(f331(f331(f245(x73971),x73972),x73973))+~P104(f331(f331(f245(x73971),f331(f79(x73971),x73972)),x73973))+P104(f331(f331(f245(x73971),f331(f75(x73971),x73972)),x73973)) % 159.04/158.77 [7468]~P131(x74681)+P104(f331(f331(f245(x74681),f2(x74681)),x74682))+~P104(f331(f331(f245(x74681),f2(x74681)),x74683))+~P104(f331(f331(f245(x74681),f2(x74681)),f331(f331(f81(x74681),x74683),x74682))) % 159.04/158.77 [7469]~P131(x74691)+P104(f331(f331(f245(x74691),f2(x74691)),x74692))+~P104(f331(f331(f245(x74691),f2(x74691)),x74693))+~P104(f331(f331(f245(x74691),f2(x74691)),f331(f331(f81(x74691),x74692),x74693))) % 159.04/158.77 [7771]E(x77711,x77712)+~P104(f331(f62(x77713),x77711))+~P104(f331(f331(f244(a876),f331(f38(x77713),x77711)),f331(f38(x77713),x77712)))+~P104(f331(f331(f244(f885(x77713,a871)),x77712),x77711)) % 159.04/158.77 [7912]~P104(f331(f331(f245(a1),x79121),f2(a1)))+~P104(f331(f331(f245(a1),f2(a1)),x79122))+~P104(f331(f331(f244(a1),x79122),x79123))+P104(f331(f331(f244(a1),f331(f331(f39(a1),x79121),x79122)),f331(f331(f39(a1),x79121),x79123))) % 159.04/158.77 [7924]~P104(f331(f331(f244(a1),f2(a1)),x79241))+~P104(f331(f331(f245(a1),f2(a1)),x79243))+~P104(f331(f331(f244(a1),x79243),x79242))+P104(f331(f331(f244(a1),f331(f331(f39(a1),x79241),x79242)),f331(f331(f39(a1),x79241),x79243))) % 159.04/158.77 [8064]E(f331(x80641,f464(x80642,x80641,x80643)),x80642)+~P104(f331(f331(f244(a1),x80642),f331(x80641,x80643)))+P104(f331(f331(f245(a876),f465(x80642,x80641,x80643)),x80643))+~P104(f331(f331(f244(a1),f331(x80641,f2(a876))),x80642)) % 159.04/158.77 [8065]E(f331(x80651,f471(x80652,x80651,x80653)),x80652)+~P104(f331(f331(f244(a1),x80652),f331(x80651,x80653)))+P104(f331(f331(f245(a876),f472(x80652,x80651,x80653)),x80653))+~P104(f331(f331(f244(a1),f331(x80651,f2(a876))),x80652)) % 159.04/158.77 [8168]~P104(f331(f62(x81681),x81683))+~P104(f331(f331(f245(a876),f331(f38(x81681),x81682)),f331(f38(x81681),x81683)))+~P104(f331(f331(f244(f885(x81681,a871)),x81682),x81683))+P104(f331(f331(f245(f885(x81681,a871)),x81682),x81683)) % 159.04/158.77 [8197]E(f331(f331(f80(a1),f394(x81973,x81971,x81972)),f395(x81973,x81971,x81972)),x81971)+E(f331(f331(f22(a1),x81971),x81972),x81971)+~P104(f331(f331(f245(a1),f2(a1)),x81972))+~P104(f331(f331(f333(a1),f331(f331(f22(a1),x81971),f78(a1))),x81973)) % 159.04/158.77 [8198]E(f331(f331(f22(a1),f404(x81983,x81981,x81982)),f405(x81983,x81981,x81982)),x81981)+E(f331(f331(f80(a1),x81981),x81982),x81981)+~P104(f331(f331(f245(a1),f2(a1)),x81982))+~P104(f331(f331(f333(a1),f331(f331(f80(a1),x81981),f78(a1))),x81983)) % 159.04/158.77 [8251]~P104(f331(f331(f244(a876),x82513),x82511))+P104(f331(f331(f244(a876),x82511),x82512))+~P104(f331(f331(f244(a876),x82513),x82512))+~P104(f331(f331(f244(a876),f331(f331(f22(a876),x82511),x82513)),f331(f331(f22(a876),x82512),x82513))) % 159.04/158.77 [8252]~P104(f331(f331(f244(a876),x82523),x82521))+P104(f331(f331(f245(a876),x82521),x82522))+~P104(f331(f331(f244(a876),x82523),x82522))+~P104(f331(f331(f245(a876),f331(f331(f22(a876),x82521),x82523)),f331(f331(f22(a876),x82522),x82523))) % 159.04/158.77 [8268]~P107(x82682)+E(x82681,f117(x82682))+~P30(x82682,f331(f168(x82682),x82681))+E(f331(f141(x82682,x82682,f331(f7(x82682,x82682,x82682),f243(x82682)),x82683),f331(f168(x82682),x82681)),f331(f331(f243(x82682),f331(f331(f164(x82682),x82681),f2(a876))),x82683)) % 159.04/158.77 [8334]E(f331(f331(f22(a1),x83341),x83342),x83341)+~P104(f331(f331(f245(a1),f2(a1)),x83342))+P104(f331(f331(f333(a1),f394(x83343,x83341,x83342)),x83343))+~P104(f331(f331(f333(a1),f331(f331(f22(a1),x83341),f78(a1))),x83343)) % 159.04/158.77 [8335]E(f331(f331(f80(a1),x83351),x83352),x83351)+~P104(f331(f331(f245(a1),f2(a1)),x83352))+P104(f331(f331(f333(a1),f404(x83353,x83351,x83352)),x83353))+~P104(f331(f331(f333(a1),f331(f331(f80(a1),x83351),f78(a1))),x83353)) % 159.04/158.77 [8411]~P104(f331(f331(f244(a1),x84111),f331(x84112,x84113)))+P104(f331(f331(f245(a876),f465(x84111,x84112,x84113)),x84113))+P104(f331(f331(f244(a876),f464(x84111,x84112,x84113)),x84113))+~P104(f331(f331(f244(a1),f331(x84112,f2(a876))),x84111)) % 159.04/158.77 [8412]~P104(f331(f331(f244(a1),x84121),f331(x84122,x84123)))+P104(f331(f331(f245(a876),f472(x84121,x84122,x84123)),x84123))+P104(f331(f331(f244(a876),f471(x84121,x84122,x84123)),x84123))+~P104(f331(f331(f244(a1),f331(x84122,f2(a876))),x84121)) % 159.04/158.77 [8490]E(f331(f331(f22(a1),x84901),x84902),x84901)+~P104(f331(f331(f245(a1),f2(a1)),x84902))+P104(f331(f331(f333(a1),f395(x84903,x84901,x84902)),f301(a1,f78(a1),x84902)))+~P104(f331(f331(f333(a1),f331(f331(f22(a1),x84901),f78(a1))),x84903)) % 159.04/158.77 [8491]E(f331(f331(f80(a1),x84911),x84912),x84911)+~P104(f331(f331(f245(a1),f2(a1)),x84912))+P104(f331(f331(f333(a1),f405(x84913,x84911,x84912)),f301(a1,f78(a1),x84912)))+~P104(f331(f331(f333(a1),f331(f331(f80(a1),x84911),f78(a1))),x84913)) % 159.04/158.77 [8620]~P122(x86201)+~P104(f331(f331(f245(x86201),x86202),f78(x86201)))+~P104(f331(f331(f245(x86201),f2(x86201)),x86202))+P104(f331(f331(f245(x86201),f331(f331(f81(x86201),x86202),f331(f331(f255(x86201),x86202),x86203))),f331(f331(f255(x86201),x86202),x86203))) % 159.04/158.77 [8703]~P104(f331(x87031,x87032))+P104(f331(x87031,f2(a876)))+~P104(f331(f331(f245(a876),x87032),x87033))+~P104(f331(x87031,f45(a876,f331(a116,f503(x87032,x87031,x87033)),x87033))) % 159.04/158.77 [8842]E(f532(x88421,x88422,x88423),f2(a876))+P104(f331(f331(x88421,x88423),x88422))+P104(f331(f331(x88421,f532(x88421,x88422,x88423)),f45(a876,f531(x88421,x88422,x88423),f532(x88421,x88422,x88423))))+~P104(f331(f319(f884(a876,a876),a228),f331(f331(f265(a876,a876),x88423),x88422))) % 159.04/158.77 [8880]~P21(x88801,x88801,x88802,x88803)+E(f331(f309(x88801,x88801,x88802),x88803),x88803)+~P104(f331(f62(x88801),x88803))+~P104(f331(f331(f244(f885(x88801,a871)),f331(f309(x88801,x88801,x88802),x88803)),x88803)) % 159.04/158.77 [9120]P104(f331(f331(x91201,x91202),x91203))+~P104(f331(f331(f245(a1),f530(x91201,x91203,x91202)),f2(a1)))+P104(f331(f331(x91201,f331(f79(a1),f529(x91201,x91203,x91202))),f331(f79(a1),f530(x91201,x91203,x91202))))+~P104(f331(f319(f884(a1,a1),a233),f331(f331(f265(a1,a1),x91202),x91203))) % 159.04/158.77 [9309]P104(f331(f331(x93091,x93092),x93093))+P104(f331(f331(x93091,f331(f331(f80(a1),f596(x93091,x93093,x93092)),f78(a1))),f597(x93091,x93093,x93092)))+~P104(f331(f331(f244(a1),f596(x93091,x93093,x93092)),f597(x93091,x93093,x93092)))+~P104(f331(f319(f884(a1,a1),a183),f331(f331(f265(a1,a1),x93092),x93093))) % 159.04/158.77 [9733]~P58(x97332)+~P58(x97331)+~P104(f331(f59(f884(x97331,x97332)),x97333))+P104(f331(f59(x97331),f331(f331(f8(f885(x97332,a871),a871,x97331),f59(x97332)),f331(f331(f8(f885(x97332,f884(x97331,x97332)),f885(x97332,a871),x97331),f331(f8(f884(x97331,x97332),a871,x97332),x97333)),f265(x97331,x97332))))) % 159.04/158.77 [9734]~P58(x97342)+~P58(x97341)+~P104(f331(f58(f884(x97341,x97342)),x97343))+P104(f331(f58(x97341),f331(f331(f8(f885(x97342,a871),a871,x97341),f58(x97342)),f331(f331(f8(f885(x97342,f884(x97341,x97342)),f885(x97342,a871),x97341),f331(f8(f884(x97341,x97342),a871,x97342),x97343)),f265(x97341,x97342))))) % 159.04/158.77 [9836]~P58(x98362)+~P58(x98361)+P104(f331(f59(f884(x98361,x98362)),x98363))+~P104(f331(f59(x98361),f331(f331(f8(f885(x98362,a871),a871,x98361),f59(x98362)),f331(f331(f8(f885(x98362,f884(x98361,x98362)),f885(x98362,a871),x98361),f331(f8(f884(x98361,x98362),a871,x98362),x98363)),f265(x98361,x98362))))) % 159.04/158.77 [9837]~P58(x98372)+~P58(x98371)+P104(f331(f58(f884(x98371,x98372)),x98373))+~P104(f331(f58(x98371),f331(f331(f8(f885(x98372,a871),a871,x98371),f58(x98372)),f331(f331(f8(f885(x98372,f884(x98371,x98372)),f885(x98372,a871),x98371),f331(f8(f884(x98371,x98372),a871,x98372),x98373)),f265(x98371,x98372))))) % 159.04/158.77 [10006]E(f331(x100061,f464(x100062,x100061,x100063)),x100062)+~P104(f331(f331(f244(a1),x100062),f331(x100061,x100063)))+~P104(f331(f331(f244(a1),f331(f75(a1),f331(f331(f22(a1),f331(x100061,f331(f331(f80(a876),f465(x100062,x100061,x100063)),f78(a876)))),f331(x100061,f465(x100062,x100061,x100063))))),f78(a1)))+~P104(f331(f331(f244(a1),f331(x100061,f2(a876))),x100062)) % 159.04/158.77 [10007]E(f331(x100071,f471(x100072,x100071,x100073)),x100072)+~P104(f331(f331(f244(a1),x100072),f331(x100071,x100073)))+~P104(f331(f331(f244(a1),f331(f75(a1),f331(f331(f22(a1),f331(x100071,f331(f331(f80(a876),f472(x100072,x100071,x100073)),f78(a876)))),f331(x100071,f472(x100072,x100071,x100073))))),f78(a1)))+~P104(f331(f331(f244(a1),f331(x100071,f2(a876))),x100072)) % 159.04/158.77 [10011]~P104(f331(f331(f244(a1),x100111),f331(x100112,x100113)))+~P104(f331(f331(f244(a1),f331(f75(a1),f331(f331(f22(a1),f331(x100112,f331(f331(f80(a876),f465(x100111,x100112,x100113)),f78(a876)))),f331(x100112,f465(x100111,x100112,x100113))))),f78(a1)))+P104(f331(f331(f244(a876),f464(x100111,x100112,x100113)),x100113))+~P104(f331(f331(f244(a1),f331(x100112,f2(a876))),x100111)) % 159.04/158.77 [10012]~P104(f331(f331(f244(a1),x100121),f331(x100122,x100123)))+~P104(f331(f331(f244(a1),f331(f75(a1),f331(f331(f22(a1),f331(x100122,f331(f331(f80(a876),f472(x100121,x100122,x100123)),f78(a876)))),f331(x100122,f472(x100121,x100122,x100123))))),f78(a1)))+P104(f331(f331(f244(a876),f471(x100121,x100122,x100123)),x100123))+~P104(f331(f331(f244(a1),f331(x100122,f2(a876))),x100121)) % 159.04/158.77 [10068]E(x100681,x100682)+~E(f331(f141(f877(x100683),f877(x100683),f126(x100683),f117(x100683)),x100681),f331(f141(f877(x100683),f877(x100683),f126(x100683),f117(x100683)),x100682))+~E(f331(f195(f877(f877(x100683))),x100681),f331(f195(f877(f877(x100683))),x100682))+~P104(f331(f331(f269(f877(x100683),f877(x100683),a871),f331(f331(f7(f877(x100683),f885(f877(x100683),a876),f885(f877(x100683),a871)),f331(f331(f8(f885(a876,a871),f885(f885(f877(x100683),a876),f885(f877(x100683),a871)),f877(x100683)),f8(a876,a871,f877(x100683))),f331(f331(f8(a876,f885(a876,a871),f877(x100683)),a328),f195(f877(x100683))))),f195(f877(x100683)))),f638(x100682,x100681,x100683))) % 159.04/158.77 [10069]E(x100691,x100692)+~E(f331(f141(f877(x100693),f877(x100693),f126(x100693),f117(x100693)),x100691),f331(f141(f877(x100693),f877(x100693),f126(x100693),f117(x100693)),x100692))+~E(f331(f195(f877(f877(x100693))),x100691),f331(f195(f877(f877(x100693))),x100692))+~P104(f331(f331(f269(f877(x100693),f877(x100693),a871),f331(f331(f7(f877(x100693),f885(f877(x100693),a876),f885(f877(x100693),a871)),f331(f331(f8(f885(a876,a871),f885(f885(f877(x100693),a876),f885(f877(x100693),a871)),f877(x100693)),f8(a876,a871,f877(x100693))),f331(f331(f8(a876,f885(a876,a871),f877(x100693)),a328),f195(f877(x100693))))),f195(f877(x100693)))),f640(x100691,x100692,x100693))) % 159.04/158.77 [6795]~E(f78(a876),f2(a876))+~P104(f331(f62(x67951),x67953))+~P104(f331(f62(x67951),x67952))+E(f331(f331(f80(a876),f331(f38(x67951),x67952)),f331(f38(x67951),x67953)),f331(f38(x67951),f331(f331(f114(f885(x67951,a871)),x67952),x67953))) % 159.04/158.77 [7209]~P100(x72091)+~P104(f331(f62(x72091),x72092))+~P104(f331(f331(f333(x72091),x72093),x72092))+P104(f331(f331(f244(x72091),f331(f64(x72091,f105(x72091)),x72092)),x72093)) % 159.04/158.77 [7210]~P107(x72101)+~P104(f331(f62(x72101),x72102))+~P104(f331(f331(f333(x72101),x72103),x72102))+P104(f331(f331(f244(x72101),f331(f64(x72101,f242(x72101)),x72102)),x72103)) % 159.04/158.77 [7462]~P104(f331(f62(x74621),x74623))+~P104(f331(f62(x74621),x74622))+~E(f331(f331(f105(f885(x74621,a871)),x74622),x74623),f194(f885(x74621,a871)))+E(f331(f331(f80(a876),f331(f38(x74621),x74622)),f331(f38(x74621),x74623)),f331(f38(x74621),f331(f331(f114(f885(x74621,a871)),x74622),x74623))) % 159.04/158.77 [8257]~P39(x82571,x82573)+~P39(x82571,x82572)+~E(f331(f331(f105(f885(x82571,a871)),f331(f263(x82571,x82571),x82572)),f331(f261(x82571,x82571),x82573)),f194(f885(x82571,a871)))+P39(x82571,f331(f331(f114(f885(f884(x82571,x82571),a871)),x82572),x82573)) % 159.04/158.77 [8349]E(x83491,f331(f331(f39(a876),x83492),x83493))+~P104(f331(f331(f245(a876),f2(a876)),x83493))+~P104(f331(f331(f245(a876),x83492),f331(f331(f81(a876),x83493),f331(a116,x83491))))+~P104(f331(f331(f244(a876),f331(f331(f81(a876),x83493),x83491)),x83492)) % 159.04/158.77 [8488]~P104(f331(f62(x84881),x84882))+~P104(f331(f62(x84881),x84883))+E(f331(f331(f80(a876),f331(f38(x84881),x84882)),f331(f38(x84881),x84883)),f331(f38(x84881),f331(f331(f114(f885(x84881,a871)),x84882),x84883)))+P104(f331(f331(f333(x84881),f866(x84883,x84882,x84881)),f331(f331(f105(f885(x84881,a871)),x84882),x84883))) % 159.04/158.77 [8854]~P124(x88542)+~E(x88541,f2(x88542))+~E(x88543,f2(x88542))+~P104(f331(f331(f245(x88542),f2(x88542)),f331(f331(f80(x88542),f331(f331(f81(x88542),x88543),x88543)),f331(f331(f81(x88542),x88541),x88541)))) % 159.04/158.77 [9389]~P39(x93891,x93893)+~P39(x93891,x93892)+P39(x93891,f331(f331(f114(f885(f884(x93891,x93891),a871)),x93892),x93893))+~P104(f331(f331(f244(f885(f884(x93891,x93891),a871)),f331(f331(f287(x93891,x93891,x93891),x93892),x93893)),x93892)) % 159.04/158.77 [9514]~P104(f331(x95141,x95143))+~P104(f331(f62(x95142),x95143))+P104(f331(x95141,f194(f885(x95142,a871))))+~P104(f331(x95141,f331(f331(f22(f885(x95142,a871)),f652(x95141,x95143,x95142)),f331(f331(f308(x95142),f646(x95141,x95143,x95142)),f194(f885(x95142,a871)))))) % 159.04/158.77 [9763]~P58(x97631)+~P58(x97632)+P7(x97631,f331(f331(f8(f885(x97632,x97631),a871,f877(x97631)),x97633),f331(f331(f8(f885(x97632,f880(x97631)),f885(x97632,x97631),f877(x97631)),f73(f880(x97631),x97631,x97632,f241(x97631))),f331(f331(f8(f877(f884(x97632,x97631)),f885(x97632,f880(x97631)),f877(x97631)),f178(x97632,x97631)),f331(f182(x97632,x97631),f56(x97632))))),f331(f195(f877(x97632)),f56(x97632)))+~P104(f331(f58(f885(x97632,x97631)),x97633)) % 159.04/158.77 [9764]~P58(x97641)+~P58(x97642)+P8(x97641,f331(f331(f8(f885(x97642,x97641),a871,f877(x97641)),x97643),f331(f331(f8(f885(x97642,f880(x97641)),f885(x97642,x97641),f877(x97641)),f73(f880(x97641),x97641,x97642,f241(x97641))),f331(f331(f8(f877(f884(x97642,x97641)),f885(x97642,f880(x97641)),f877(x97641)),f178(x97642,x97641)),f331(f182(x97642,x97641),f56(x97642))))),f331(f195(f877(x97642)),f56(x97642)))+~P104(f331(f59(f885(x97642,x97641)),x97643)) % 159.04/158.77 [9860]~P58(x98601)+~P58(x98602)+~P8(x98602,f331(f331(f8(f885(x98601,x98602),a871,f877(x98602)),x98603),f331(f331(f8(f885(x98601,f880(x98602)),f885(x98601,x98602),f877(x98602)),f73(f880(x98602),x98602,x98601,f241(x98602))),f331(f331(f8(f877(f884(x98601,x98602)),f885(x98601,f880(x98602)),f877(x98602)),f178(x98601,x98602)),f331(f182(x98601,x98602),f56(x98601))))),f331(f195(f877(x98601)),f56(x98601)))+P104(f331(f59(f885(x98601,x98602)),x98603)) % 159.04/158.77 [9861]~P58(x98611)+~P58(x98612)+~P7(x98612,f331(f331(f8(f885(x98611,x98612),a871,f877(x98612)),x98613),f331(f331(f8(f885(x98611,f880(x98612)),f885(x98611,x98612),f877(x98612)),f73(f880(x98612),x98612,x98611,f241(x98612))),f331(f331(f8(f877(f884(x98611,x98612)),f885(x98611,f880(x98612)),f877(x98612)),f178(x98611,x98612)),f331(f182(x98611,x98612),f56(x98611))))),f331(f195(f877(x98611)),f56(x98611)))+P104(f331(f58(f885(x98611,x98612)),x98613)) % 159.04/158.77 [8655]~P104(f331(f331(f245(a1),f2(a1)),x86553))+P104(f331(f331(f244(a1),f2(a1)),x86551))+~P104(f331(f331(f245(a1),x86552),x86553))+~P104(f331(f331(f244(a1),f2(a1)),f331(f331(f80(a1),f331(f331(f81(a1),x86553),x86551)),x86552))) % 159.04/158.77 [8677]~P75(x86771)+~P104(f331(f62(x86771),x86772))+E(f331(f331(f22(f885(x86771,a871)),x86772),f331(f331(f308(x86771),x86773),f194(f885(x86771,a871)))),f194(f885(x86771,a871)))+E(f331(f331(f105(x86771),x86773),f11(x86771,f331(f331(f22(f885(x86771,a871)),x86772),f331(f331(f308(x86771),x86773),f194(f885(x86771,a871)))))),f11(x86771,f331(f331(f308(x86771),x86773),x86772))) % 159.04/158.77 [8678]~P75(x86781)+~P104(f331(f62(x86781),x86782))+E(f331(f331(f22(f885(x86781,a871)),x86782),f331(f331(f308(x86781),x86783),f194(f885(x86781,a871)))),f194(f885(x86781,a871)))+E(f331(f331(f114(x86781),x86783),f10(x86781,f331(f331(f22(f885(x86781,a871)),x86782),f331(f331(f308(x86781),x86783),f194(f885(x86781,a871)))))),f10(x86781,f331(f331(f308(x86781),x86783),x86782))) % 159.04/158.77 [8679]~P107(x86791)+~P104(f331(f62(x86791),x86792))+E(f331(f331(f22(f885(x86791,a871)),x86792),f331(f331(f308(x86791),x86793),f194(f885(x86791,a871)))),f194(f885(x86791,a871)))+E(f331(f331(f242(x86791),x86793),f14(x86791,f331(f331(f22(f885(x86791,a871)),x86792),f331(f331(f308(x86791),x86793),f194(f885(x86791,a871)))))),f14(x86791,f331(f331(f308(x86791),x86793),x86792))) % 159.04/158.77 [8680]~P107(x86801)+~P104(f331(f62(x86801),x86802))+E(f331(f331(f22(f885(x86801,a871)),x86802),f331(f331(f308(x86801),x86803),f194(f885(x86801,a871)))),f194(f885(x86801,a871)))+E(f331(f331(f243(x86801),x86803),f15(x86801,f331(f331(f22(f885(x86801,a871)),x86802),f331(f331(f308(x86801),x86803),f194(f885(x86801,a871)))))),f15(x86801,f331(f331(f308(x86801),x86803),x86802))) % 159.04/158.77 [8744]~P107(x87441)+~P104(f331(f62(x87441),x87442))+E(f331(f331(f22(f885(x87441,a871)),x87442),f331(f331(f308(x87441),x87443),f194(f885(x87441,a871)))),f194(f885(x87441,a871)))+E(f331(f331(f242(x87441),x87443),f12(x87441,f242(x87441),f331(f331(f22(f885(x87441,a871)),x87442),f331(f331(f308(x87441),x87443),f194(f885(x87441,a871)))))),f12(x87441,f242(x87441),f331(f331(f308(x87441),x87443),x87442))) % 159.04/158.77 [8745]~P107(x87451)+~P104(f331(f62(x87451),x87452))+E(f331(f331(f22(f885(x87451,a871)),x87452),f331(f331(f308(x87451),x87453),f194(f885(x87451,a871)))),f194(f885(x87451,a871)))+E(f331(f331(f243(x87451),x87453),f13(x87451,f243(x87451),f331(f331(f22(f885(x87451,a871)),x87452),f331(f331(f308(x87451),x87453),f194(f885(x87451,a871)))))),f13(x87451,f243(x87451),f331(f331(f308(x87451),x87453),x87452))) % 159.04/158.77 [9329]E(x93291,x93292)+~E(f331(f141(f877(x93293),f877(x93293),f126(x93293),f117(x93293)),x93291),f331(f141(f877(x93293),f877(x93293),f126(x93293),f117(x93293)),x93292))+~E(f331(f195(f877(f877(x93293))),x93291),f331(f195(f877(f877(x93293))),x93292))+P104(f331(f331(f333(f884(f877(x93293),f877(x93293))),f638(x93292,x93291,x93293)),f331(f172(f884(f877(x93293),f877(x93293))),f331(f331(f182(f877(x93293),f877(x93293)),x93291),x93292)))) % 159.04/158.77 [9330]E(x93301,x93302)+~E(f331(f141(f877(x93303),f877(x93303),f126(x93303),f117(x93303)),x93301),f331(f141(f877(x93303),f877(x93303),f126(x93303),f117(x93303)),x93302))+~E(f331(f195(f877(f877(x93303))),x93301),f331(f195(f877(f877(x93303))),x93302))+P104(f331(f331(f333(f884(f877(x93303),f877(x93303))),f640(x93301,x93302,x93303)),f331(f172(f884(f877(x93303),f877(x93303))),f331(f331(f182(f877(x93303),f877(x93303)),x93302),x93301)))) % 159.04/158.77 [10153]~P97(x101532)+E(x101531,f194(f885(x101532,a871)))+~P104(f331(f62(x101532),x101531))+E(f11(x101532,f331(f250(x101532),f331(f331(f8(f885(x101532,a871),a871,x101532),f87(x101532)),f331(f331(f7(x101532,f885(x101532,a871),f885(x101532,a871)),f331(f331(f8(f885(x101532,f885(a871,a871)),f885(f885(x101532,a871),f885(x101532,a871)),x101532),f18(x101532,a871,a871)),f331(f331(f8(f885(x101532,a871),f885(x101532,f885(a871,a871)),x101532),f331(f8(a871,f885(a871,a871),x101532),a329)),f331(f331(f7(x101532,f885(x101532,x101532),f885(x101532,a871)),f331(f331(f8(f885(x101532,a871),f885(f885(x101532,x101532),f885(x101532,a871)),x101532),f8(x101532,a871,x101532)),a328)),f331(f114(x101532),x101533))))),f331(f331(f7(x101532,f885(x101532,a871),a871),f333(x101532)),x101531))))),f331(f331(f114(x101532),x101533),f11(x101532,x101531))) % 159.04/158.77 [10154]~P97(x101542)+E(x101541,f194(f885(x101542,a871)))+~P104(f331(f62(x101542),x101541))+E(f10(x101542,f331(f250(x101542),f331(f331(f8(f885(x101542,a871),a871,x101542),f87(x101542)),f331(f331(f7(x101542,f885(x101542,a871),f885(x101542,a871)),f331(f331(f8(f885(x101542,f885(a871,a871)),f885(f885(x101542,a871),f885(x101542,a871)),x101542),f18(x101542,a871,a871)),f331(f331(f8(f885(x101542,a871),f885(x101542,f885(a871,a871)),x101542),f331(f8(a871,f885(a871,a871),x101542),a329)),f331(f331(f7(x101542,f885(x101542,x101542),f885(x101542,a871)),f331(f331(f8(f885(x101542,a871),f885(f885(x101542,x101542),f885(x101542,a871)),x101542),f8(x101542,a871,x101542)),a328)),f331(f105(x101542),x101543))))),f331(f331(f7(x101542,f885(x101542,a871),a871),f333(x101542)),x101541))))),f331(f331(f105(x101542),x101543),f10(x101542,x101541))) % 159.04/158.77 [10155]~P74(x101552)+E(x101551,f194(f885(x101552,a871)))+~P104(f331(f62(x101552),x101551))+E(f14(x101552,f331(f250(x101552),f331(f331(f8(f885(x101552,a871),a871,x101552),f87(x101552)),f331(f331(f7(x101552,f885(x101552,a871),f885(x101552,a871)),f331(f331(f8(f885(x101552,f885(a871,a871)),f885(f885(x101552,a871),f885(x101552,a871)),x101552),f18(x101552,a871,a871)),f331(f331(f8(f885(x101552,a871),f885(x101552,f885(a871,a871)),x101552),f331(f8(a871,f885(a871,a871),x101552),a329)),f331(f331(f7(x101552,f885(x101552,x101552),f885(x101552,a871)),f331(f331(f8(f885(x101552,a871),f885(f885(x101552,x101552),f885(x101552,a871)),x101552),f8(x101552,a871,x101552)),a328)),f331(f80(x101552),x101553))))),f331(f331(f7(x101552,f885(x101552,a871),a871),f333(x101552)),x101551))))),f331(f331(f80(x101552),x101553),f14(x101552,x101551))) % 159.04/158.77 [10156]~P74(x101562)+E(x101561,f194(f885(x101562,a871)))+~P104(f331(f62(x101562),x101561))+E(f15(x101562,f331(f250(x101562),f331(f331(f8(f885(x101562,a871),a871,x101562),f87(x101562)),f331(f331(f7(x101562,f885(x101562,a871),f885(x101562,a871)),f331(f331(f8(f885(x101562,f885(a871,a871)),f885(f885(x101562,a871),f885(x101562,a871)),x101562),f18(x101562,a871,a871)),f331(f331(f8(f885(x101562,a871),f885(x101562,f885(a871,a871)),x101562),f331(f8(a871,f885(a871,a871),x101562),a329)),f331(f331(f7(x101562,f885(x101562,x101562),f885(x101562,a871)),f331(f331(f8(f885(x101562,a871),f885(f885(x101562,x101562),f885(x101562,a871)),x101562),f8(x101562,a871,x101562)),a328)),f331(f80(x101562),x101563))))),f331(f331(f7(x101562,f885(x101562,a871),a871),f333(x101562)),x101561))))),f331(f331(f80(x101562),x101563),f15(x101562,x101561))) % 159.04/158.77 [10157]~P107(x101572)+E(x101571,f194(f885(x101572,a871)))+~P104(f331(f62(x101572),x101571))+E(f13(x101572,f243(x101572),f331(f250(x101572),f331(f331(f8(f885(x101572,a871),a871,x101572),f87(x101572)),f331(f331(f7(x101572,f885(x101572,a871),f885(x101572,a871)),f331(f331(f8(f885(x101572,f885(a871,a871)),f885(f885(x101572,a871),f885(x101572,a871)),x101572),f18(x101572,a871,a871)),f331(f331(f8(f885(x101572,a871),f885(x101572,f885(a871,a871)),x101572),f331(f8(a871,f885(a871,a871),x101572),a329)),f331(f331(f7(x101572,f885(x101572,x101572),f885(x101572,a871)),f331(f331(f8(f885(x101572,a871),f885(f885(x101572,x101572),f885(x101572,a871)),x101572),f8(x101572,a871,x101572)),a328)),f331(f242(x101572),x101573))))),f331(f331(f7(x101572,f885(x101572,a871),a871),f333(x101572)),x101571))))),f331(f331(f242(x101572),x101573),f13(x101572,f243(x101572),x101571))) % 159.04/158.77 [10158]~P107(x101582)+E(x101581,f194(f885(x101582,a871)))+~P104(f331(f62(x101582),x101581))+E(f12(x101582,f242(x101582),f331(f250(x101582),f331(f331(f8(f885(x101582,a871),a871,x101582),f87(x101582)),f331(f331(f7(x101582,f885(x101582,a871),f885(x101582,a871)),f331(f331(f8(f885(x101582,f885(a871,a871)),f885(f885(x101582,a871),f885(x101582,a871)),x101582),f18(x101582,a871,a871)),f331(f331(f8(f885(x101582,a871),f885(x101582,f885(a871,a871)),x101582),f331(f8(a871,f885(a871,a871),x101582),a329)),f331(f331(f7(x101582,f885(x101582,x101582),f885(x101582,a871)),f331(f331(f8(f885(x101582,a871),f885(f885(x101582,x101582),f885(x101582,a871)),x101582),f8(x101582,a871,x101582)),a328)),f331(f243(x101582),x101583))))),f331(f331(f7(x101582,f885(x101582,a871),a871),f333(x101582)),x101581))))),f331(f331(f243(x101582),x101583),f12(x101582,f242(x101582),x101581))) % 159.04/158.77 [9910]~P119(x99101)+~E(x99103,f2(x99101))+~E(x99102,f2(x99101))+E(f331(f331(f80(x99101),f331(f331(f255(x99101),x99102),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f255(x99101),x99103),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f2(x99101)) % 159.04/158.77 [10052]~P122(x100521)+~P104(f331(f331(f244(x100521),f2(x100521)),x100523))+P104(f331(f331(f244(x100521),x100522),x100523))+~P104(f331(f331(f244(x100521),f331(f331(f255(x100521),x100522),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f255(x100521),x100523),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))))) % 159.04/158.77 [10099]~P119(x100992)+~E(x100991,f2(x100992))+~E(x100993,f2(x100992))+~P104(f331(f331(f245(x100992),f2(x100992)),f331(f331(f80(x100992),f331(f331(f255(x100992),x100993),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))),f331(f331(f255(x100992),x100991),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))))) % 159.04/158.77 [9291]E(x92911,x92912)+~E(f559(x92911,x92912,x92914,x92913),f562(x92911,x92912,x92914,x92913))+P104(f331(f331(f333(f884(f877(x92913),f877(x92913))),f331(f331(f265(f877(x92913),f877(x92913)),x92912),x92911)),f146(x92913,x92914)))+P104(f331(f331(f333(f884(f877(x92913),f877(x92913))),f331(f331(f265(f877(x92913),f877(x92913)),x92911),x92912)),f146(x92913,x92914))) % 159.04/158.77 [4850]~P59(x48502)+~E(x48504,f2(x48502))+~E(x48501,f2(x48502))+E(x48501,f331(f331(f288(x48502),x48503),x48504)) % 159.04/158.77 [4851]~P59(x48511)+~E(x48513,f2(x48511))+~E(x48514,f2(x48511))+E(f331(f331(f288(x48511),x48512),x48513),x48514) % 159.04/158.77 [4963]~P59(x49632)+E(x49631,f2(x49632))+~E(x49633,f2(x49632))+~E(x49631,f331(f331(f288(x49632),x49634),x49633)) % 159.04/158.77 [4964]~P59(x49642)+E(x49641,f2(x49642))+~E(x49643,f2(x49642))+~E(f331(f331(f288(x49642),x49644),x49643),x49641) % 159.04/158.77 [5139]~P116(x51392)+E(x51391,f2(x51392))+~E(f331(f331(f288(x51392),x51393),x51391),x51394)+E(x51393,f331(f331(f81(x51392),x51394),x51391)) % 159.04/158.77 [5141]~P116(x51412)+E(x51411,f2(x51412))+~E(f331(f331(f81(x51412),x51413),x51411),x51414)+E(x51413,f331(f331(f288(x51412),x51414),x51411)) % 159.04/158.77 [5142]~P59(x51422)+E(x51421,f2(x51422))+~E(f331(f331(f288(x51422),x51423),x51421),x51424)+E(x51423,f331(f331(f81(x51422),x51424),x51421)) % 159.04/158.77 [5143]~P59(x51432)+E(x51431,f2(x51432))+~E(f331(f331(f81(x51432),x51433),x51431),x51434)+E(x51433,f331(f331(f288(x51432),x51434),x51431)) % 159.04/158.77 [5144]~P116(x51442)+E(x51441,f2(x51442))+~E(x51443,f331(f331(f288(x51442),x51444),x51441))+E(f331(f331(f81(x51442),x51443),x51441),x51444) % 159.04/158.77 [5146]~P116(x51462)+E(x51461,f2(x51462))+~E(x51463,f331(f331(f81(x51462),x51464),x51461))+E(f331(f331(f288(x51462),x51463),x51461),x51464) % 159.04/158.77 [5147]~P59(x51472)+E(x51471,f2(x51472))+~E(x51473,f331(f331(f288(x51472),x51474),x51471))+E(f331(f331(f81(x51472),x51473),x51471),x51474) % 159.04/158.77 [5148]~P59(x51482)+E(x51481,f2(x51482))+~E(x51483,f331(f331(f81(x51482),x51484),x51481))+E(f331(f331(f288(x51482),x51483),x51481),x51484) % 159.04/158.77 [5181]~P59(x51812)+~E(x51811,f2(x51812))+~E(f331(f331(f81(x51812),x51811),x51814),x51813)+E(x51811,f331(f331(f288(x51812),x51813),x51814)) % 159.04/158.77 [5182]~P59(x51821)+~E(x51824,f2(x51821))+~E(x51822,f331(f331(f81(x51821),x51824),x51823))+E(f331(f331(f288(x51821),x51822),x51823),x51824) % 159.04/158.77 [5255]~E(x52553,x52554)+~E(x52552,x52553)+~P108(x52551)+E(f301(x52551,x52552,x52553),f331(f331(f308(x52551),x52554),f194(f885(x52551,a871)))) % 159.04/158.77 [5461]~E(f118(x54612,x54611),x54613)+~E(f143(x54612,x54611),x54614)+E(x54611,f117(x54612))+E(f331(f331(f126(x54612),x54613),f331(f331(f150(x54612),x54614),f117(x54612))),x54611) % 159.04/158.77 [6078]~P122(x60783)+E(x60781,x60782)+~E(f331(f331(f255(x60783),x60784),x60781),f331(f331(f255(x60783),x60784),x60782))+~P104(f331(f331(f245(x60783),f78(x60783)),x60784)) % 159.04/158.77 [6079]E(x60791,x60792)+~E(f331(f331(f308(x60793),x60794),x60791),f331(f331(f308(x60793),x60794),x60792))+P104(f331(f331(f333(x60793),x60794),x60792))+P104(f331(f331(f333(x60793),x60794),x60791)) % 159.04/158.77 [6117]E(f331(x61171,x61172),f78(a876))+~E(f331(f331(f9(x61173,a876),x61171),x61174),f78(a876))+~P104(f331(f62(x61173),x61174))+~P104(f331(f331(f333(x61173),x61172),x61174)) % 159.04/158.77 [6118]E(f331(x61181,x61182),f2(a876))+~E(f331(f331(f6(x61183,a876),x61181),x61184),f2(a876))+~P104(f331(f62(x61183),x61184))+~P104(f331(f331(f333(x61183),x61182),x61184)) % 159.04/158.77 [6337]~P108(x63371)+~P104(f331(f331(f244(x63371),x63374),x63373))+P104(f331(f331(f244(x63371),x63372),x63373))+~P104(f331(f331(f244(x63371),x63372),x63374)) % 159.04/158.77 [6338]~P105(x63381)+~P104(f331(f331(f244(x63381),x63382),x63384))+P104(f331(f331(f244(x63381),x63382),x63383))+~P104(f331(f331(f244(x63381),x63384),x63383)) % 159.04/158.77 [6339]~P108(x63391)+~P104(f331(f331(f245(x63391),x63394),x63393))+P104(f331(f331(f245(x63391),x63392),x63393))+~P104(f331(f331(f244(x63391),x63392),x63394)) % 159.04/158.77 [6340]~P108(x63401)+~P104(f331(f331(f245(x63401),x63402),x63404))+P104(f331(f331(f245(x63401),x63402),x63403))+~P104(f331(f331(f244(x63401),x63404),x63403)) % 159.04/158.77 [6341]~P108(x63411)+~P104(f331(f331(f245(x63411),x63414),x63413))+P104(f331(f331(f245(x63411),x63412),x63413))+~P104(f331(f331(f245(x63411),x63412),x63414)) % 159.04/158.77 [6342]~P105(x63421)+~P104(f331(f331(f245(x63421),x63422),x63424))+P104(f331(f331(f245(x63421),x63422),x63423))+~P104(f331(f331(f244(x63421),x63424),x63423)) % 159.04/158.77 [6343]~P105(x63431)+~P104(f331(f331(f245(x63431),x63434),x63433))+P104(f331(f331(f245(x63431),x63432),x63433))+~P104(f331(f331(f244(x63431),x63432),x63434)) % 159.04/158.77 [6344]~P105(x63441)+~P104(f331(f331(f245(x63441),x63442),x63444))+P104(f331(f331(f245(x63441),x63442),x63443))+~P104(f331(f331(f245(x63441),x63444),x63443)) % 159.04/158.77 [6424]~P37(x64244,x64243,x64242)+E(x64241,f806(x64242,x64243,x64244))+~P104(f331(x64243,x64241))+~P104(f331(f331(f333(x64244),x64241),f331(f172(x64244),x64242))) % 159.04/158.77 [6569]~P28(x65691)+~P104(f331(f331(f244(x65691),x65692),f41(x65691,x65694)))+P104(f331(f331(f244(x65691),x65692),x65693))+~P104(f331(f331(f333(x65691),x65693),x65694)) % 159.04/158.77 [6716]~P107(x67161)+~P30(x67161,f331(f331(f150(x67161),x67162),x67164))+~P104(f331(f331(f333(x67161),x67163),f331(f172(x67161),x67164)))+P104(f331(f331(f244(x67161),x67162),x67163)) % 159.04/158.77 [6806]~P28(x68061)+~P104(f331(f331(f244(x68061),f40(x68061,x68064)),x68063))+P104(f331(f331(f244(x68061),x68062),x68063))+~P104(f331(f331(f333(x68061),x68062),x68064)) % 159.04/158.77 [7212]~P107(x72121)+E(f331(f331(f114(f885(x72121,a871)),f331(f300(x72121,x72122),x72123)),f331(f300(x72121,x72123),x72124)),f331(f300(x72121,x72122),x72124))+~P104(f331(f331(f244(x72121),x72123),x72124))+~P104(f331(f331(f244(x72121),x72122),x72123)) % 159.04/158.77 [7249]P37(x72491,x72492,x72493)+~E(f811(x72493,x72492,x72491,x72494),x72494)+~P104(f331(x72492,x72494))+~P104(f331(f331(f333(x72491),x72494),f331(f172(x72491),x72493))) % 159.04/158.77 [7323]~P107(x73231)+E(f331(f331(f114(f885(x73231,a871)),f331(f300(x73231,x73232),x73233)),f301(x73231,x73233,x73234)),f301(x73231,x73232,x73234))+~P104(f331(f331(f244(x73231),x73233),x73234))+~P104(f331(f331(f244(x73231),x73232),x73233)) % 159.04/158.77 [7389]~P107(x73891)+E(f331(f331(f114(f885(x73891,a871)),f304(x73891,x73892,x73893)),f331(f300(x73891,x73893),x73894)),f304(x73891,x73892,x73894))+~P104(f331(f331(f244(x73891),x73893),x73894))+~P104(f331(f331(f245(x73891),x73892),x73893)) % 159.04/158.77 [7409]~P107(x74091)+E(f331(f331(f114(f885(x74091,a871)),f301(x74091,x74092,x74093)),f304(x74091,x74093,x74094)),f331(f300(x74091,x74092),x74094))+~P104(f331(f331(f244(x74091),x74092),x74093))+~P104(f331(f331(f245(x74091),x74093),x74094)) % 159.04/158.77 [7441]~P107(x74411)+E(f331(f331(f114(f885(x74411,a871)),f304(x74411,x74412,x74413)),f301(x74411,x74413,x74414)),f303(x74411,x74412,x74414))+~P104(f331(f331(f244(x74411),x74413),x74414))+~P104(f331(f331(f245(x74411),x74412),x74413)) % 159.04/158.77 [7442]~P107(x74421)+E(f331(f331(f114(f885(x74421,a871)),f303(x74421,x74422,x74423)),f304(x74421,x74423,x74424)),f304(x74421,x74422,x74424))+~P104(f331(f331(f244(x74421),x74422),x74423))+~P104(f331(f331(f245(x74421),x74423),x74424)) % 159.04/158.77 [7443]~P107(x74431)+E(f331(f331(f114(f885(x74431,a871)),f303(x74431,x74432,x74433)),f303(x74431,x74433,x74434)),f303(x74431,x74432,x74434))+~P104(f331(f331(f244(x74431),x74433),x74434))+~P104(f331(f331(f244(x74431),x74432),x74433)) % 159.04/158.77 [7444]~P107(x74441)+E(f331(f331(f114(f885(x74441,a871)),f301(x74441,x74442,x74443)),f303(x74441,x74443,x74444)),f301(x74441,x74442,x74444))+~P104(f331(f331(f244(x74441),x74443),x74444))+~P104(f331(f331(f244(x74441),x74442),x74443)) % 159.04/158.77 [8241]P21(x82411,x82412,f859(x82413,x82412,x82414,x82411),x82414)+~P104(f331(f62(x82412),x82413))+~P104(f331(f62(x82411),x82414))+~P104(f331(f331(f244(a876),f331(f38(x82411),x82414)),f331(f38(x82412),x82413))) % 159.04/158.77 [8262]P37(x82621,x82622,x82623)+~P104(f331(x82622,x82624))+P104(f331(x82622,f811(x82623,x82622,x82621,x82624)))+~P104(f331(f331(f333(x82621),x82624),f331(f172(x82621),x82623))) % 159.04/158.77 [8313]~P68(x83131)+~E(f331(x83133,f848(x83133,x83134,x83132,x83131)),f78(x83131))+E(f331(f331(f331(f66(x83131,x83132,f81(x83131)),x83133),f78(x83131)),x83134),f78(x83131))+~P104(f331(f62(x83132),x83134)) % 159.04/158.77 [8587]~P122(x85871)+~P104(f331(f331(f244(x85871),f2(x85871)),x85873))+P104(f331(f331(f244(x85871),x85872),x85873))+~P104(f331(f331(f244(x85871),f331(f331(f255(x85871),x85872),f331(a116,x85874))),f331(f331(f255(x85871),x85873),f331(a116,x85874)))) % 159.04/158.77 [8881]P37(x88811,x88812,x88813)+~P104(f331(x88812,x88814))+~P104(f331(f331(f333(x88811),x88814),f331(f172(x88811),x88813)))+P104(f331(f331(f333(x88811),f811(x88813,x88812,x88811,x88814)),f331(f172(x88811),x88813))) % 159.04/158.77 [8967]~P68(x89671)+E(f331(f331(f331(f66(x89671,x89672,f81(x89671)),x89673),f78(x89671)),x89674),f78(x89671))+~P104(f331(f62(x89672),x89674))+P104(f331(f331(f333(x89672),f848(x89673,x89674,x89672,x89671)),x89674)) % 159.04/158.77 [9455]~P104(f331(f331(f244(a1),x94554),f2(a1)))+P104(f331(f331(f244(a1),f331(f331(f80(a1),f331(f331(f81(a1),x94551),f45(a1,x94552,x94553))),x94554)),f2(a1)))+~P104(f331(f331(f245(a1),f2(a1)),x94553))+~P104(f331(f331(f245(a1),x94551),x94554)) % 159.04/158.77 [9903]~P104(f331(f62(x99031),x99032))+~P104(f331(f331(f333(x99031),x99034),x99032))+~P104(f331(f331(f333(x99031),x99033),x99032))+P104(f331(f331(f245(a876),f331(f38(x99031),f331(f331(f22(f885(x99031,a871)),f331(f331(f22(f885(x99031,a871)),x99032),f331(f331(f308(x99031),x99033),f194(f885(x99031,a871))))),f331(f331(f308(x99031),x99034),f194(f885(x99031,a871)))))),f331(f38(x99031),x99032))) % 159.04/158.77 [6922]~P100(x69221)+~P104(f331(f331(f244(x69221),x69222),x69224))+~P104(f331(f331(f244(x69221),x69222),x69223))+P104(f331(f331(f244(x69221),x69222),f331(f331(f105(x69221),x69223),x69224))) % 159.04/158.77 [6925]~P107(x69251)+~P104(f331(f331(f244(x69251),x69252),x69254))+~P104(f331(f331(f244(x69251),x69252),x69253))+P104(f331(f331(f244(x69251),x69252),f331(f331(f242(x69251),x69253),x69254))) % 159.04/158.77 [6926]~P107(x69261)+~P104(f331(f331(f245(x69261),x69262),x69264))+~P104(f331(f331(f245(x69261),x69262),x69263))+P104(f331(f331(f245(x69261),x69262),f331(f331(f242(x69261),x69263),x69264))) % 159.04/158.77 [6945]~P60(x69452)+E(x69451,f2(x69452))+E(f331(f331(f288(x69452),f331(f331(f255(x69452),x69451),x69453)),f331(f331(f255(x69452),x69451),x69454)),f331(f331(f255(x69452),x69451),f331(f331(f22(a876),x69453),x69454)))+~P104(f331(f331(f244(a876),x69454),x69453)) % 159.04/158.77 [6990]~P107(x69901)+~P30(x69901,f331(f331(f150(x69901),x69903),x69904))+P30(x69901,f331(f331(f150(x69901),x69902),f331(f331(f150(x69901),x69903),x69904)))+~P104(f331(f331(f244(x69901),x69902),x69903)) % 159.04/158.77 [7031]~P87(x70311)+~P104(f331(f331(f244(x70311),f2(x70311)),x70314))+~P104(f331(f331(f244(x70311),x70312),x70313))+P104(f331(f331(f244(x70311),x70312),f331(f331(f80(x70311),x70313),x70314))) % 159.04/158.77 [7032]~P87(x70321)+~P104(f331(f331(f244(x70321),f2(x70321)),x70323))+~P104(f331(f331(f244(x70321),x70322),x70324))+P104(f331(f331(f244(x70321),x70322),f331(f331(f80(x70321),x70323),x70324))) % 159.04/158.77 [7033]~P122(x70331)+~P104(f331(f331(f245(x70331),f2(x70331)),x70333))+~P104(f331(f331(f245(x70331),x70332),x70334))+P104(f331(f331(f245(x70331),x70332),f331(f331(f80(x70331),x70333),x70334))) % 159.04/158.77 [7034]~P87(x70341)+~P104(f331(f331(f244(x70341),x70342),x70344))+~P104(f331(f331(f245(x70341),f2(x70341)),x70343))+P104(f331(f331(f245(x70341),x70342),f331(f331(f80(x70341),x70343),x70344))) % 159.04/158.77 [7035]~P87(x70351)+~P104(f331(f331(f244(x70351),f2(x70351)),x70353))+~P104(f331(f331(f245(x70351),x70352),x70354))+P104(f331(f331(f245(x70351),x70352),f331(f331(f80(x70351),x70353),x70354))) % 159.04/158.77 [7074]~P107(x70741)+P104(f331(f331(f244(x70741),x70742),x70743))+P104(f331(f331(f244(x70741),x70742),x70744))+~P104(f331(f331(f244(x70741),x70742),f331(f331(f243(x70741),x70744),x70743))) % 159.04/158.77 [7075]~P107(x70751)+P104(f331(f331(f245(x70751),x70752),x70753))+P104(f331(f331(f245(x70751),x70752),x70754))+~P104(f331(f331(f245(x70751),x70752),f331(f331(f243(x70751),x70754),x70753))) % 159.04/158.77 [7362]~P108(x73622)+~P58(x73621)+~P104(f331(f331(f245(f885(x73621,x73622)),x73623),x73624))+P104(f331(f331(f244(f885(x73621,x73622)),x73623),x73624)) % 159.04/158.77 [7731]~P62(x77311)+~P104(f331(f331(f245(x77311),x77314),f2(x77311)))+~P104(f331(f331(f244(x77311),x77313),f331(f331(f288(x77311),x77312),x77314)))+P104(f331(f331(f244(x77311),x77312),f331(f331(f81(x77311),x77313),x77314))) % 159.04/158.77 [7732]~P62(x77321)+~P104(f331(f331(f245(x77321),x77324),f2(x77321)))+~P104(f331(f331(f244(x77321),x77323),f331(f331(f81(x77321),x77322),x77324)))+P104(f331(f331(f244(x77321),x77322),f331(f331(f288(x77321),x77323),x77324))) % 159.04/158.77 [7733]~P62(x77331)+~P104(f331(f331(f245(x77331),x77334),f2(x77331)))+~P104(f331(f331(f245(x77331),x77333),f331(f331(f288(x77331),x77332),x77334)))+P104(f331(f331(f245(x77331),x77332),f331(f331(f81(x77331),x77333),x77334))) % 159.04/158.77 [7734]~P62(x77341)+~P104(f331(f331(f245(x77341),x77344),f2(x77341)))+~P104(f331(f331(f245(x77341),x77343),f331(f331(f81(x77341),x77342),x77344)))+P104(f331(f331(f245(x77341),x77342),f331(f331(f288(x77341),x77343),x77344))) % 159.04/158.77 [7839]~P125(x78391)+~P104(f331(f331(f244(x78391),x78392),f2(x78391)))+~P104(f331(f331(f244(x78391),x78394),x78393))+P104(f331(f331(f244(x78391),f331(f331(f81(x78391),x78392),x78393)),f331(f331(f81(x78391),x78392),x78394))) % 159.04/158.77 [7840]~P124(x78401)+~P104(f331(f331(f245(x78401),x78402),f2(x78401)))+~P104(f331(f331(f244(x78401),x78404),x78403))+P104(f331(f331(f244(x78401),f331(f331(f81(x78401),x78402),x78403)),f331(f331(f81(x78401),x78402),x78404))) % 159.04/158.77 [7841]~P125(x78411)+~P104(f331(f331(f244(x78411),x78413),f2(x78411)))+~P104(f331(f331(f244(x78411),x78414),x78412))+P104(f331(f331(f244(x78411),f331(f331(f81(x78411),x78412),x78413)),f331(f331(f81(x78411),x78414),x78413))) % 159.04/158.77 [7842]~P61(x78421)+~P104(f331(f331(f244(x78421),x78423),f2(x78421)))+~P104(f331(f331(f244(x78421),x78424),x78422))+P104(f331(f331(f244(x78421),f331(f331(f288(x78421),x78422),x78423)),f331(f331(f288(x78421),x78424),x78423))) % 159.04/158.77 [7846]~P124(x78461)+~P104(f331(f331(f245(x78461),x78463),f2(x78461)))+~P104(f331(f331(f245(x78461),x78464),x78462))+P104(f331(f331(f245(x78461),f331(f331(f81(x78461),x78462),x78463)),f331(f331(f81(x78461),x78464),x78463))) % 159.04/158.77 [7847]~P124(x78471)+~P104(f331(f331(f245(x78471),x78472),f2(x78471)))+~P104(f331(f331(f245(x78471),x78474),x78473))+P104(f331(f331(f245(x78471),f331(f331(f81(x78471),x78472),x78473)),f331(f331(f81(x78471),x78472),x78474))) % 159.04/158.77 [7848]~P62(x78481)+~P104(f331(f331(f245(x78481),x78483),f2(x78481)))+~P104(f331(f331(f245(x78481),x78484),x78482))+P104(f331(f331(f245(x78481),f331(f331(f288(x78481),x78482),x78483)),f331(f331(f288(x78481),x78484),x78483))) % 159.04/158.77 [7849]~P122(x78491)+~P104(f331(f331(f245(x78491),f78(x78491)),x78492))+~P104(f331(f331(f244(a876),x78493),x78494))+P104(f331(f331(f244(x78491),f331(f331(f255(x78491),x78492),x78493)),f331(f331(f255(x78491),x78492),x78494))) % 159.04/158.77 [7850]~P122(x78501)+~P104(f331(f331(f244(x78501),f78(x78501)),x78502))+~P104(f331(f331(f244(a876),x78503),x78504))+P104(f331(f331(f244(x78501),f331(f331(f255(x78501),x78502),x78503)),f331(f331(f255(x78501),x78502),x78504))) % 159.04/158.77 [7852]~P122(x78521)+~P104(f331(f331(f245(x78521),f78(x78521)),x78522))+~P104(f331(f331(f245(a876),x78523),x78524))+P104(f331(f331(f245(x78521),f331(f331(f255(x78521),x78522),x78523)),f331(f331(f255(x78521),x78522),x78524))) % 159.04/158.77 [7879]P104(f331(f331(f245(a876),f2(a876)),f331(x78791,x78792)))+~P104(f331(f62(x78793),x78794))+~P104(f331(f331(f333(x78793),x78792),x78794))+~P104(f331(f331(f245(a876),f2(a876)),f331(f331(f9(x78793,a876),x78791),x78794))) % 159.04/158.77 [7888]~P124(x78881)+~P104(f331(f331(f245(x78881),f2(x78881)),x78882))+~P104(f331(f331(f244(x78881),x78883),x78884))+P104(f331(f331(f244(x78881),f331(f331(f81(x78881),x78882),x78883)),f331(f331(f81(x78881),x78882),x78884))) % 159.04/158.77 [7889]~P134(x78891)+~P104(f331(f331(f244(x78891),x78893),x78894))+~P104(f331(f331(f244(x78891),f2(x78891)),x78892))+P104(f331(f331(f244(x78891),f331(f331(f81(x78891),x78892),x78893)),f331(f331(f81(x78891),x78892),x78894))) % 159.04/158.77 [7890]~P133(x78901)+~P104(f331(f331(f244(x78901),x78903),x78904))+~P104(f331(f331(f244(x78901),f2(x78901)),x78902))+P104(f331(f331(f244(x78901),f331(f331(f81(x78901),x78902),x78903)),f331(f331(f81(x78901),x78902),x78904))) % 159.04/158.77 [7891]~P134(x78911)+~P104(f331(f331(f244(x78911),x78912),x78914))+~P104(f331(f331(f244(x78911),f2(x78911)),x78913))+P104(f331(f331(f244(x78911),f331(f331(f81(x78911),x78912),x78913)),f331(f331(f81(x78911),x78914),x78913))) % 159.04/158.77 [7892]~P122(x78921)+~P104(f331(f331(f244(x78921),x78922),x78924))+~P104(f331(f331(f244(x78921),f2(x78921)),x78922))+P104(f331(f331(f244(x78921),f331(f331(f255(x78921),x78922),x78923)),f331(f331(f255(x78921),x78924),x78923))) % 159.04/158.77 [7893]~P61(x78931)+~P104(f331(f331(f244(x78931),x78932),x78934))+~P104(f331(f331(f244(x78931),f2(x78931)),x78933))+P104(f331(f331(f244(x78931),f331(f331(f288(x78931),x78932),x78933)),f331(f331(f288(x78931),x78934),x78933))) % 159.04/158.77 [7895]~P120(x78951)+~P104(f331(f331(f245(x78951),x78953),x78954))+~P104(f331(f331(f245(x78951),f2(x78951)),x78952))+P104(f331(f331(f245(x78951),f331(f331(f81(x78951),x78952),x78953)),f331(f331(f81(x78951),x78952),x78954))) % 159.04/158.77 [7896]~P131(x78961)+~P104(f331(f331(f245(x78961),x78963),x78964))+~P104(f331(f331(f245(x78961),f2(x78961)),x78962))+P104(f331(f331(f245(x78961),f331(f331(f81(x78961),x78962),x78963)),f331(f331(f81(x78961),x78962),x78964))) % 159.04/158.77 [7897]~P124(x78971)+~P104(f331(f331(f245(x78971),x78972),x78974))+~P104(f331(f331(f245(x78971),f2(x78971)),x78973))+P104(f331(f331(f245(x78971),f331(f331(f81(x78971),x78972),x78973)),f331(f331(f81(x78971),x78974),x78973))) % 159.04/158.77 [7898]~P131(x78981)+~P104(f331(f331(f245(x78981),x78982),x78984))+~P104(f331(f331(f245(x78981),f2(x78981)),x78983))+P104(f331(f331(f245(x78981),f331(f331(f81(x78981),x78982),x78983)),f331(f331(f81(x78981),x78984),x78983))) % 159.04/158.77 [7899]~P124(x78991)+~P104(f331(f331(f245(x78991),x78993),x78994))+~P104(f331(f331(f245(x78991),f2(x78991)),x78992))+P104(f331(f331(f245(x78991),f331(f331(f81(x78991),x78992),x78993)),f331(f331(f81(x78991),x78992),x78994))) % 159.04/158.77 [7900]~P62(x79001)+~P104(f331(f331(f245(x79001),x79002),x79004))+~P104(f331(f331(f245(x79001),f2(x79001)),x79003))+P104(f331(f331(f245(x79001),f331(f331(f288(x79001),x79002),x79003)),f331(f331(f288(x79001),x79004),x79003))) % 159.04/158.77 [7943]~P106(x79432)+P104(f331(f331(f245(f885(x79431,x79432)),x79434),x79433))+~P104(f331(f331(f244(f885(x79431,x79432)),x79434),x79433))+P104(f331(f331(f244(f885(x79431,x79432)),x79433),x79434)) % 159.04/158.77 [7985]P104(f331(f331(f333(x79851),x79852),x79853))+P104(f331(f331(f333(x79851),x79852),x79854))+~P104(f331(f331(f244(f885(x79851,a871)),x79854),x79853))+P104(f331(f331(f245(f885(x79851,a871)),x79854),f331(f331(f308(x79851),x79852),x79853))) % 159.04/158.77 [8146]P104(f331(f331(f333(x81461),x81462),x81463))+P104(f331(f331(f333(x81461),x81462),x81464))+~P104(f331(f331(f245(f885(x81461,a871)),x81464),f331(f331(f308(x81461),x81462),x81463)))+P104(f331(f331(f244(f885(x81461,a871)),x81464),x81463)) % 159.04/158.77 [8155]~P58(x81551)+P7(x81551,x81552,x81553)+~P104(f331(x81552,x81554))+~P104(f331(f331(f333(f877(x81551)),x81554),f331(f172(f877(x81551)),f55(x81551,x81553,f56(x81551))))) % 159.04/158.77 [8165]~P8(x81653,x81651,x81654)+~P58(x81653)+P104(f331(x81651,x81652))+~P104(f331(f331(f333(f877(x81653)),x81652),f331(f172(f877(x81653)),f55(x81653,x81654,f56(x81653))))) % 159.04/158.77 [8218]~P124(x82181)+P104(f331(f331(f245(x82181),x82183),x82182))+P104(f331(f331(f245(x82181),x82182),x82183))+~P104(f331(f331(f245(x82181),f331(f331(f81(x82181),x82184),x82182)),f331(f331(f81(x82181),x82184),x82183))) % 159.04/158.77 [8219]~P124(x82191)+P104(f331(f331(f245(x82191),x82193),x82192))+P104(f331(f331(f245(x82191),x82192),x82193))+~P104(f331(f331(f245(x82191),f331(f331(f81(x82191),x82192),x82194)),f331(f331(f81(x82191),x82193),x82194))) % 159.04/158.77 [8230]~P124(x82301)+P104(f331(f331(f245(x82301),x82304),f2(x82301)))+P104(f331(f331(f245(x82301),x82302),x82303))+~P104(f331(f331(f245(x82301),f331(f331(f81(x82301),x82302),x82304)),f331(f331(f81(x82301),x82303),x82304))) % 159.04/158.77 [8231]~P124(x82311)+P104(f331(f331(f245(x82311),x82314),f2(x82311)))+P104(f331(f331(f245(x82311),x82312),x82313))+~P104(f331(f331(f245(x82311),f331(f331(f81(x82311),x82314),x82312)),f331(f331(f81(x82311),x82314),x82313))) % 159.04/158.77 [8235]~P124(x82351)+P104(f331(f331(f245(x82351),x82352),x82353))+P104(f331(f331(f245(x82351),f2(x82351)),x82354))+~P104(f331(f331(f245(x82351),f331(f331(f81(x82351),x82354),x82353)),f331(f331(f81(x82351),x82354),x82352))) % 159.04/158.77 [8236]~P124(x82361)+P104(f331(f331(f245(x82361),x82362),x82363))+P104(f331(f331(f245(x82361),f2(x82361)),x82364))+~P104(f331(f331(f245(x82361),f331(f331(f81(x82361),x82363),x82364)),f331(f331(f81(x82361),x82362),x82364))) % 159.04/158.77 [8249]~P124(x82491)+P104(f331(f331(f245(x82491),x82492),f2(x82491)))+P104(f331(f331(f245(x82491),f2(x82491)),x82492))+~P104(f331(f331(f245(x82491),f331(f331(f81(x82491),x82493),x82492)),f331(f331(f81(x82491),x82494),x82492))) % 159.04/158.77 [8250]~P124(x82501)+P104(f331(f331(f245(x82501),x82502),f2(x82501)))+P104(f331(f331(f245(x82501),f2(x82501)),x82502))+~P104(f331(f331(f245(x82501),f331(f331(f81(x82501),x82502),x82503)),f331(f331(f81(x82501),x82502),x82504))) % 159.04/158.77 [8276]~P124(x82761)+~P104(f331(f331(f245(x82761),x82764),f2(x82761)))+P104(f331(f331(f244(x82761),x82762),x82763))+~P104(f331(f331(f244(x82761),f331(f331(f81(x82761),x82764),x82763)),f331(f331(f81(x82761),x82764),x82762))) % 159.04/158.77 [8277]~P124(x82771)+~P104(f331(f331(f245(x82771),x82774),f2(x82771)))+P104(f331(f331(f245(x82771),x82772),x82773))+~P104(f331(f331(f245(x82771),f331(f331(f81(x82771),x82774),x82773)),f331(f331(f81(x82771),x82774),x82772))) % 159.04/158.77 [8289]~P122(x82893)+~P104(f331(f331(f245(x82893),f78(x82893)),x82894))+P104(f331(f331(f244(a876),x82891),x82892))+~P104(f331(f331(f244(x82893),f331(f331(f255(x82893),x82894),x82891)),f331(f331(f255(x82893),x82894),x82892))) % 159.04/158.77 [8291]~P122(x82913)+~P104(f331(f331(f245(x82913),f78(x82913)),x82914))+P104(f331(f331(f245(a876),x82911),x82912))+~P104(f331(f331(f245(x82913),f331(f331(f255(x82913),x82914),x82911)),f331(f331(f255(x82913),x82914),x82912))) % 159.04/158.77 [8301]~P124(x83011)+P104(f331(f331(f244(x83011),x83012),x83013))+~P104(f331(f331(f245(x83011),f2(x83011)),x83014))+~P104(f331(f331(f244(x83011),f331(f331(f81(x83011),x83014),x83012)),f331(f331(f81(x83011),x83014),x83013))) % 159.04/158.77 [8302]~P131(x83021)+P104(f331(f331(f244(x83021),x83022),x83023))+~P104(f331(f331(f245(x83021),f2(x83021)),x83024))+~P104(f331(f331(f244(x83021),f331(f331(f81(x83021),x83024),x83022)),f331(f331(f81(x83021),x83024),x83023))) % 159.04/158.77 [8303]~P131(x83031)+P104(f331(f331(f244(x83031),x83032),x83033))+~P104(f331(f331(f245(x83031),f2(x83031)),x83034))+~P104(f331(f331(f244(x83031),f331(f331(f81(x83031),x83032),x83034)),f331(f331(f81(x83031),x83033),x83034))) % 159.04/158.77 [8304]~P124(x83041)+P104(f331(f331(f245(x83041),x83042),x83043))+~P104(f331(f331(f245(x83041),f2(x83041)),x83044))+~P104(f331(f331(f245(x83041),f331(f331(f81(x83041),x83044),x83042)),f331(f331(f81(x83041),x83044),x83043))) % 159.04/158.77 [8305]~P131(x83051)+P104(f331(f331(f245(x83051),x83052),x83053))+~P104(f331(f331(f244(x83051),f2(x83051)),x83054))+~P104(f331(f331(f245(x83051),f331(f331(f81(x83051),x83054),x83052)),f331(f331(f81(x83051),x83054),x83053))) % 159.04/158.77 [8306]~P127(x83061)+P104(f331(f331(f245(x83061),x83062),x83063))+~P104(f331(f331(f244(x83061),f2(x83061)),x83064))+~P104(f331(f331(f245(x83061),f331(f331(f81(x83061),x83064),x83062)),f331(f331(f81(x83061),x83064),x83063))) % 159.04/158.77 [8307]~P122(x83071)+~P104(f331(f331(f244(x83071),f2(x83071)),x83073))+P104(f331(f331(f245(x83071),x83072),x83073))+~P104(f331(f331(f245(x83071),f331(f331(f255(x83071),x83072),x83074)),f331(f331(f255(x83071),x83073),x83074))) % 159.04/158.77 [8308]~P131(x83081)+P104(f331(f331(f245(x83081),x83082),x83083))+~P104(f331(f331(f244(x83081),f2(x83081)),x83084))+~P104(f331(f331(f245(x83081),f331(f331(f81(x83081),x83082),x83084)),f331(f331(f81(x83081),x83083),x83084))) % 159.04/158.77 [8309]~P127(x83091)+P104(f331(f331(f245(x83091),x83092),x83093))+~P104(f331(f331(f244(x83091),f2(x83091)),x83094))+~P104(f331(f331(f245(x83091),f331(f331(f81(x83091),x83092),x83094)),f331(f331(f81(x83091),x83093),x83094))) % 159.04/158.77 [8352]P104(f331(f331(f333(x83521),x83522),x83523))+~P104(f331(f331(f244(f885(x83521,a871)),x83523),x83524))+~P104(f331(f331(f245(f885(x83521,a871)),x83523),x83524))+P104(f331(f331(f245(f885(x83521,a871)),x83523),f331(f331(f308(x83521),x83522),x83524))) % 159.04/158.77 [8610]~P58(x86101)+~P94(x86102)+~E(f331(x86103,f812(x86104,x86103,x86101,x86102)),f331(x86104,f812(x86104,x86103,x86101,x86102)))+P104(f331(f331(f91(f885(x86101,x86102)),x86103),x86104)) % 159.04/158.77 [8724]E(f331(f331(f22(a1),f407(x87241,x87242,x87243,x87244)),f408(x87241,x87242,x87243,x87244)),x87244)+~P104(f331(f331(f245(a1),f2(a1)),x87243))+~P104(f331(f331(f244(a1),x87241),x87244))+P104(f331(f331(f244(a1),x87241),f331(f331(f80(a1),x87244),x87243))) % 159.04/158.77 [8725]E(f331(f331(f22(a1),f418(x87251,x87252,x87253,x87254)),f419(x87251,x87252,x87253,x87254)),x87254)+~P104(f331(f331(f245(a1),f2(a1)),x87253))+~P104(f331(f331(f245(a1),x87251),x87254))+P104(f331(f331(f245(a1),x87251),f331(f331(f80(a1),x87254),x87253))) % 159.04/158.77 [8861]~E(f331(f331(f164(x88611),x88613),f572(x88614,x88613,x88611,x88612)),f331(f331(f164(x88611),x88614),f572(x88614,x88613,x88611,x88612)))+E(f331(f331(f175(x88611),x88612),x88613),f331(f331(f175(x88611),x88612),x88614))+~P104(f331(f331(f244(a876),x88612),f331(f195(f877(x88611)),x88613)))+~P104(f331(f331(f244(a876),x88612),f331(f195(f877(x88611)),x88614))) % 159.04/158.77 [8933]~P104(f331(f331(f245(a1),f2(a1)),x89333))+~P104(f331(f331(f244(a1),x89331),x89334))+P104(f331(f331(f333(a1),f407(x89331,x89332,x89333,x89334)),x89332))+P104(f331(f331(f244(a1),x89331),f331(f331(f80(a1),x89334),x89333))) % 159.04/158.77 [8934]~P104(f331(f331(f245(a1),f2(a1)),x89343))+~P104(f331(f331(f245(a1),x89341),x89344))+P104(f331(f331(f333(a1),f418(x89341,x89342,x89343,x89344)),x89342))+P104(f331(f331(f245(a1),x89341),f331(f331(f80(a1),x89344),x89343))) % 159.04/158.77 [8976]~P100(x89761)+~P104(f331(f62(x89761),x89763))+~P104(f331(f331(f333(x89761),x89764),x89763))+P104(f331(f331(f244(x89761),f331(f331(f65(x89761,x89761,f105(x89761)),x89762),x89763)),f331(f331(f105(x89761),x89764),x89762))) % 159.04/158.77 [8977]~P107(x89771)+~P104(f331(f62(x89771),x89773))+~P104(f331(f331(f333(x89771),x89774),x89773))+P104(f331(f331(f244(x89771),f331(f331(f65(x89771,x89771,f242(x89771)),x89772),x89773)),f331(f331(f242(x89771),x89774),x89772))) % 159.04/158.77 [9023]E(f331(f331(f175(x90231),x90232),x90233),f331(f331(f175(x90231),x90232),x90234))+P104(f331(f331(f245(a876),f572(x90233,x90234,x90231,x90232)),x90232))+~P104(f331(f331(f244(a876),x90232),f331(f195(f877(x90231)),x90233)))+~P104(f331(f331(f244(a876),x90232),f331(f195(f877(x90231)),x90234))) % 159.04/158.77 [9028]~P104(f331(f331(f245(a1),f2(a1)),x90283))+~P104(f331(f331(f244(a1),x90281),x90282))+P104(f331(f331(f333(a1),f408(x90281,x90284,x90283,x90282)),f301(a1,f78(a1),x90283)))+P104(f331(f331(f244(a1),x90281),f331(f331(f80(a1),x90282),x90283))) % 159.04/158.77 [9029]~P104(f331(f331(f245(a1),f2(a1)),x90293))+~P104(f331(f331(f245(a1),x90291),x90292))+P104(f331(f331(f333(a1),f419(x90291,x90294,x90293,x90292)),f301(a1,f78(a1),x90293)))+P104(f331(f331(f245(a1),x90291),f331(f331(f80(a1),x90292),x90293))) % 159.04/158.77 [9192]~E(f331(f178(x91921,x91922),x91923),f331(f178(x91921,x91922),x91924))+E(f331(f172(f884(x91921,x91922)),x91923),f331(f172(f884(x91921,x91922)),x91924))+~P104(f331(f136(x91921),f331(f331(f153(f884(x91921,x91922),x91921),f264(x91921,x91922)),x91924)))+~P104(f331(f136(x91921),f331(f331(f153(f884(x91921,x91922),x91921),f264(x91921,x91922)),x91923))) % 159.04/158.77 [9204]E(f331(f178(x92041,x92042),x92043),f331(f178(x92041,x92042),x92044))+~E(f331(f172(f884(x92041,x92042)),x92043),f331(f172(f884(x92041,x92042)),x92044))+~P104(f331(f136(x92041),f331(f331(f153(f884(x92041,x92042),x92041),f264(x92041,x92042)),x92044)))+~P104(f331(f136(x92041),f331(f331(f153(f884(x92041,x92042),x92041),f264(x92041,x92042)),x92043))) % 159.04/158.77 [9349]~P107(x93491)+~P104(f331(f62(x93491),x93494))+P104(f331(f331(f333(x93491),f784(x93492,x93493,x93494,x93491)),x93494))+P104(f331(f331(f244(x93491),f331(f331(f65(x93491,x93491,f243(x93491)),x93492),x93494)),f331(f331(f243(x93491),x93493),x93492))) % 159.04/158.77 [9350]~P99(x93501)+~P104(f331(f62(x93501),x93504))+P104(f331(f331(f333(x93501),f789(x93502,x93503,x93504,x93501)),x93504))+P104(f331(f331(f244(x93501),f331(f331(f65(x93501,x93501,f114(x93501)),x93502),x93504)),f331(f331(f114(x93501),x93503),x93502))) % 159.04/158.77 [9473]~P99(x94731)+~P104(f331(f62(x94731),x94733))+~P104(f331(f331(f244(x94731),f789(x94732,x94734,x94733,x94731)),x94734))+P104(f331(f331(f244(x94731),f331(f331(f65(x94731,x94731,f114(x94731)),x94732),x94733)),f331(f331(f114(x94731),x94734),x94732))) % 159.04/158.77 [9474]~P107(x94741)+~P104(f331(f62(x94741),x94743))+~P104(f331(f331(f244(x94741),f784(x94742,x94744,x94743,x94741)),x94744))+P104(f331(f331(f244(x94741),f331(f331(f65(x94741,x94741,f243(x94741)),x94742),x94743)),f331(f331(f243(x94741),x94744),x94742))) % 159.04/158.77 [9477]~P104(f331(f331(f244(a1),f2(a1)),x94774))+~P104(f331(f331(f245(a1),f2(a1)),x94773))+~P104(f331(f331(f245(a1),x94774),x94771))+P104(f331(f331(f245(a1),f331(f331(f80(a1),f331(f331(f81(a1),x94771),f45(a1,x94772,x94773))),x94774)),f331(f331(f81(a1),x94771),x94773))) % 159.04/158.77 [9872]E(x98721,x98722)+P104(f331(f331(f333(f884(f877(x98723),f877(x98723))),f331(f331(f265(f877(x98723),f877(x98723)),x98722),x98721)),f146(x98723,x98724)))+P104(f331(f331(f333(f884(f877(x98723),f877(x98723))),f331(f331(f265(f877(x98723),f877(x98723)),x98721),x98722)),f146(x98723,x98724)))+~P104(f331(f331(f333(f884(x98723,x98723)),f331(f331(f265(x98723,x98723),f559(x98721,x98722,x98724,x98723)),f562(x98721,x98722,x98724,x98723))),x98724)) % 159.04/158.77 [9873]E(x98731,x98732)+P104(f331(f331(f333(f884(f877(x98733),f877(x98733))),f331(f331(f265(f877(x98733),f877(x98733)),x98732),x98731)),f146(x98733,x98734)))+P104(f331(f331(f333(f884(f877(x98733),f877(x98733))),f331(f331(f265(f877(x98733),f877(x98733)),x98731),x98732)),f146(x98733,x98734)))+~P104(f331(f331(f333(f884(x98733,x98733)),f331(f331(f265(x98733,x98733),f562(x98731,x98732,x98734,x98733)),f559(x98731,x98732,x98734,x98733))),x98734)) % 159.04/158.77 [7431]~P99(x74311)+~P104(f331(f331(f244(x74311),x74313),x74314))+~P104(f331(f331(f244(x74311),x74312),x74314))+P104(f331(f331(f244(x74311),f331(f331(f114(x74311),x74312),x74313)),x74314)) % 159.04/158.77 [7434]~P107(x74341)+~P104(f331(f331(f244(x74341),x74343),x74344))+~P104(f331(f331(f244(x74341),x74342),x74344))+P104(f331(f331(f244(x74341),f331(f331(f243(x74341),x74342),x74343)),x74344)) % 159.04/158.77 [7435]~P107(x74351)+~P104(f331(f331(f245(x74351),x74353),x74354))+~P104(f331(f331(f245(x74351),x74352),x74354))+P104(f331(f331(f245(x74351),f331(f331(f243(x74351),x74352),x74353)),x74354)) % 159.04/158.77 [7754]~E(x77541,x77543)+E(f138(a876,f331(f300(a876,x77541),x77542)),f331(f331(f150(a876),x77543),x77544))+~E(f138(a876,f331(f300(a876,f331(f331(f80(a876),x77541),f78(a876))),x77542)),x77544)+~P104(f331(f331(f245(a876),x77541),x77542)) % 159.04/158.77 [7765]~P107(x77651)+P104(f331(f331(f244(x77651),x77652),x77653))+P104(f331(f331(f244(x77651),x77654),x77653))+~P104(f331(f331(f244(x77651),f331(f331(f242(x77651),x77654),x77652)),x77653)) % 159.04/158.77 [7766]~P107(x77661)+P104(f331(f331(f245(x77661),x77662),x77663))+P104(f331(f331(f245(x77661),x77664),x77663))+~P104(f331(f331(f245(x77661),f331(f331(f242(x77661),x77664),x77662)),x77663)) % 159.04/158.77 [8046]~P61(x80461)+~P104(f331(f331(f245(x80461),f2(x80461)),x80463))+~P104(f331(f331(f244(x80461),x80462),f331(f331(f288(x80461),x80464),x80463)))+P104(f331(f331(f244(x80461),f331(f331(f81(x80461),x80462),x80463)),x80464)) % 159.04/158.77 [8047]~P62(x80471)+~P104(f331(f331(f245(x80471),f2(x80471)),x80473))+~P104(f331(f331(f244(x80471),x80472),f331(f331(f288(x80471),x80474),x80473)))+P104(f331(f331(f244(x80471),f331(f331(f81(x80471),x80472),x80473)),x80474)) % 159.04/158.77 [8048]~P61(x80481)+~P104(f331(f331(f245(x80481),f2(x80481)),x80483))+~P104(f331(f331(f244(x80481),x80482),f331(f331(f81(x80481),x80484),x80483)))+P104(f331(f331(f244(x80481),f331(f331(f288(x80481),x80482),x80483)),x80484)) % 159.04/158.77 [8050]~P62(x80501)+~P104(f331(f331(f245(x80501),f2(x80501)),x80503))+~P104(f331(f331(f244(x80501),x80502),f331(f331(f81(x80501),x80504),x80503)))+P104(f331(f331(f244(x80501),f331(f331(f288(x80501),x80502),x80503)),x80504)) % 159.04/158.77 [8051]~P61(x80511)+~P104(f331(f331(f245(x80511),f2(x80511)),x80513))+~P104(f331(f331(f245(x80511),x80512),f331(f331(f288(x80511),x80514),x80513)))+P104(f331(f331(f245(x80511),f331(f331(f81(x80511),x80512),x80513)),x80514)) % 159.04/158.77 [8052]~P62(x80521)+~P104(f331(f331(f245(x80521),f2(x80521)),x80523))+~P104(f331(f331(f245(x80521),x80522),f331(f331(f288(x80521),x80524),x80523)))+P104(f331(f331(f245(x80521),f331(f331(f81(x80521),x80522),x80523)),x80524)) % 159.04/158.77 [8053]~P61(x80531)+~P104(f331(f331(f245(x80531),f2(x80531)),x80533))+~P104(f331(f331(f245(x80531),x80532),f331(f331(f81(x80531),x80534),x80533)))+P104(f331(f331(f245(x80531),f331(f331(f288(x80531),x80532),x80533)),x80534)) % 159.04/158.77 [8055]~P62(x80551)+~P104(f331(f331(f245(x80551),f2(x80551)),x80553))+~P104(f331(f331(f245(x80551),x80552),f331(f331(f81(x80551),x80554),x80553)))+P104(f331(f331(f245(x80551),f331(f331(f288(x80551),x80552),x80553)),x80554)) % 159.04/158.77 [8187]~P61(x81871)+~P104(f331(f331(f245(x81871),f2(x81871)),x81874))+P104(f331(f331(f244(x81871),x81872),f331(f331(f81(x81871),x81873),x81874)))+~P104(f331(f331(f244(x81871),f331(f331(f288(x81871),x81872),x81874)),x81873)) % 159.04/158.77 [8188]~P61(x81881)+~P104(f331(f331(f245(x81881),f2(x81881)),x81884))+P104(f331(f331(f244(x81881),x81882),f331(f331(f288(x81881),x81883),x81884)))+~P104(f331(f331(f244(x81881),f331(f331(f81(x81881),x81882),x81884)),x81883)) % 159.04/158.77 [8190]~P62(x81901)+~P104(f331(f331(f245(x81901),f2(x81901)),x81904))+P104(f331(f331(f244(x81901),x81902),f331(f331(f81(x81901),x81903),x81904)))+~P104(f331(f331(f244(x81901),f331(f331(f288(x81901),x81902),x81904)),x81903)) % 159.04/158.77 [8191]~P62(x81911)+~P104(f331(f331(f245(x81911),f2(x81911)),x81914))+P104(f331(f331(f244(x81911),x81912),f331(f331(f288(x81911),x81913),x81914)))+~P104(f331(f331(f244(x81911),f331(f331(f81(x81911),x81912),x81914)),x81913)) % 159.04/158.77 [8192]~P61(x81921)+~P104(f331(f331(f245(x81921),f2(x81921)),x81924))+P104(f331(f331(f245(x81921),x81922),f331(f331(f81(x81921),x81923),x81924)))+~P104(f331(f331(f245(x81921),f331(f331(f288(x81921),x81922),x81924)),x81923)) % 159.04/158.77 [8193]~P61(x81931)+~P104(f331(f331(f245(x81931),f2(x81931)),x81934))+P104(f331(f331(f245(x81931),x81932),f331(f331(f288(x81931),x81933),x81934)))+~P104(f331(f331(f245(x81931),f331(f331(f81(x81931),x81932),x81934)),x81933)) % 159.04/158.77 [8195]~P62(x81951)+~P104(f331(f331(f245(x81951),f2(x81951)),x81954))+P104(f331(f331(f245(x81951),x81952),f331(f331(f81(x81951),x81953),x81954)))+~P104(f331(f331(f245(x81951),f331(f331(f288(x81951),x81952),x81954)),x81953)) % 159.04/158.77 [8196]~P62(x81961)+~P104(f331(f331(f245(x81961),f2(x81961)),x81964))+P104(f331(f331(f245(x81961),x81962),f331(f331(f288(x81961),x81963),x81964)))+~P104(f331(f331(f245(x81961),f331(f331(f81(x81961),x81962),x81964)),x81963)) % 159.04/158.77 [8356]~P62(x83561)+~P104(f331(f331(f245(x83561),x83563),f2(x83561)))+~P104(f331(f331(f244(x83561),f331(f331(f288(x83561),x83564),x83563)),x83562))+P104(f331(f331(f244(x83561),f331(f331(f81(x83561),x83562),x83563)),x83564)) % 159.04/158.77 [8357]~P62(x83571)+~P104(f331(f331(f245(x83571),x83573),f2(x83571)))+~P104(f331(f331(f244(x83571),f331(f331(f81(x83571),x83574),x83573)),x83572))+P104(f331(f331(f244(x83571),f331(f331(f288(x83571),x83572),x83573)),x83574)) % 159.04/158.77 [8358]~P62(x83581)+~P104(f331(f331(f245(x83581),x83583),f2(x83581)))+~P104(f331(f331(f245(x83581),f331(f331(f288(x83581),x83584),x83583)),x83582))+P104(f331(f331(f245(x83581),f331(f331(f81(x83581),x83582),x83583)),x83584)) % 159.04/158.77 [8359]~P62(x83591)+~P104(f331(f331(f245(x83591),x83593),f2(x83591)))+~P104(f331(f331(f245(x83591),f331(f331(f81(x83591),x83594),x83593)),x83592))+P104(f331(f331(f245(x83591),f331(f331(f288(x83591),x83592),x83593)),x83594)) % 159.04/158.77 [8369]~P104(f331(x83691,x83694))+~P104(f331(f331(f245(a876),x83692),f331(f331(f81(a876),x83693),f331(a116,x83694))))+P104(f331(x83691,f331(f331(f39(a876),x83692),x83693)))+~P104(f331(f331(f244(a876),f331(f331(f81(a876),x83693),x83694)),x83692)) % 159.04/158.77 [8584]~P99(x85841)+~P104(f331(f62(x85841),x85844))+~P104(f331(f331(f333(x85841),x85842),x85844))+P104(f331(f331(f244(x85841),f331(f331(f114(x85841),x85842),x85843)),f331(f331(f65(x85841,x85841,f114(x85841)),x85843),x85844))) % 159.04/158.77 [8585]~P107(x85851)+~P104(f331(f62(x85851),x85854))+~P104(f331(f331(f333(x85851),x85852),x85854))+P104(f331(f331(f244(x85851),f331(f331(f243(x85851),x85852),x85853)),f331(f331(f65(x85851,x85851,f243(x85851)),x85853),x85854))) % 159.04/158.77 [8726]~P104(f331(f62(x87261),x87262))+E(f331(f38(x87261),f331(f331(f22(f885(x87261,a871)),x87262),f331(f331(f308(x87261),x87263),x87264))),f331(f331(f22(a876),f331(f38(x87261),f331(f331(f22(f885(x87261,a871)),x87262),x87264))),f78(a876)))+P104(f331(f331(f333(x87261),x87263),x87264))+~P104(f331(f331(f333(x87261),x87263),x87262)) % 159.04/158.77 [8796]E(f331(f331(f80(a1),f409(x87961,x87962,x87963,x87964)),f410(x87961,x87962,x87963,x87964)),x87964)+~P104(f331(f331(f245(a1),f2(a1)),x87963))+~P104(f331(f331(f244(a1),x87964),x87961))+P104(f331(f331(f244(a1),f331(f331(f22(a1),x87964),x87963)),x87961)) % 159.04/158.77 [8797]E(f331(f331(f80(a1),f420(x87971,x87972,x87973,x87974)),f421(x87971,x87972,x87973,x87974)),x87974)+~P104(f331(f331(f245(a1),f2(a1)),x87973))+~P104(f331(f331(f245(a1),x87974),x87971))+P104(f331(f331(f245(a1),f331(f331(f22(a1),x87974),x87973)),x87971)) % 159.04/158.77 [9008]~P104(f331(f331(f245(a1),f2(a1)),x90083))+~P104(f331(f331(f244(a1),x90084),x90081))+P104(f331(f331(f333(a1),f409(x90081,x90082,x90083,x90084)),x90082))+P104(f331(f331(f244(a1),f331(f331(f22(a1),x90084),x90083)),x90081)) % 159.04/158.77 [9009]~P104(f331(f331(f245(a1),f2(a1)),x90093))+~P104(f331(f331(f245(a1),x90094),x90091))+P104(f331(f331(f333(a1),f420(x90091,x90092,x90093,x90094)),x90092))+P104(f331(f331(f245(a1),f331(f331(f22(a1),x90094),x90093)),x90091)) % 159.04/158.77 [9094]~P104(f331(f331(f245(a1),f2(a1)),x90942))+~P104(f331(f331(f244(a1),x90941),x90943))+P104(f331(f331(f333(a1),f410(x90943,x90944,x90942,x90941)),f301(a1,f78(a1),x90942)))+P104(f331(f331(f244(a1),f331(f331(f22(a1),x90941),x90942)),x90943)) % 159.04/158.77 [9095]~P104(f331(f331(f245(a1),f2(a1)),x90952))+~P104(f331(f331(f245(a1),x90951),x90953))+P104(f331(f331(f333(a1),f421(x90953,x90954,x90952,x90951)),f301(a1,f78(a1),x90952)))+P104(f331(f331(f245(a1),f331(f331(f22(a1),x90951),x90952)),x90953)) % 159.04/158.77 [9111]~P104(f331(f331(f244(a1),f2(a1)),x91114))+~P104(f331(f331(f245(a1),f2(a1)),x91113))+~P104(f331(f331(f245(a1),x91114),x91111))+P104(f331(f331(f244(a1),f2(a1)),f331(f331(f80(a1),f331(f331(f81(a1),x91111),f45(a1,x91112,x91113))),x91114))) % 159.04/158.77 [9175]~P100(x91751)+~P104(f331(f62(x91751),x91754))+~P104(f331(f331(f244(x91751),x91752),f782(x91753,x91752,x91754,x91751)))+P104(f331(f331(f244(x91751),f331(f331(f105(x91751),x91752),x91753)),f331(f331(f65(x91751,x91751,f105(x91751)),x91753),x91754))) % 159.04/158.77 [9176]~P107(x91761)+~P104(f331(f62(x91761),x91764))+~P104(f331(f331(f244(x91761),x91762),f783(x91763,x91762,x91764,x91761)))+P104(f331(f331(f244(x91761),f331(f331(f242(x91761),x91762),x91763)),f331(f331(f65(x91761,x91761,f242(x91761)),x91763),x91764))) % 159.04/158.77 [9191]~P104(f331(f331(f244(a1),x91914),f2(a1)))+~P104(f331(f331(f245(a1),f2(a1)),x91912))+~P104(f331(f331(f245(a1),x91911),x91914))+P104(f331(f331(f245(a1),f331(f331(f81(a1),x91911),x91912)),f331(f331(f80(a1),f331(f331(f81(a1),x91911),f45(a1,x91913,x91912))),x91914))) % 159.04/158.77 [9213]P104(f331(f62(x92131),x92132))+~P104(f331(f62(x92131),x92133))+~P104(f331(f331(f333(f885(x92131,a871)),x92132),f331(f331(f61(x92131),x92133),x92134)))+~P104(f331(f331(f244(f885(f884(x92131,x92131),a871)),x92134),f331(f331(f267(x92131,x92131),x92133),f331(f16(f885(x92131,a871),x92131),x92133)))) % 159.04/158.77 [9241]~P107(x92411)+~P104(f331(f62(x92411),x92414))+P104(f331(f331(f333(x92411),f783(x92412,x92413,x92414,x92411)),x92414))+P104(f331(f331(f244(x92411),f331(f331(f242(x92411),x92413),x92412)),f331(f331(f65(x92411,x92411,f242(x92411)),x92412),x92414))) % 159.04/158.77 [9242]~P100(x92421)+~P104(f331(f62(x92421),x92424))+P104(f331(f331(f333(x92421),f782(x92422,x92423,x92424,x92421)),x92424))+P104(f331(f331(f244(x92421),f331(f331(f105(x92421),x92423),x92422)),f331(f331(f65(x92421,x92421,f105(x92421)),x92422),x92424))) % 159.04/158.77 [9639]~P104(f331(f62(x96392),x96394))+~P104(f331(f62(x96391),x96393))+~P104(f331(f331(f244(a876),f331(f38(x96392),x96394)),f331(f38(x96391),x96393)))+P104(f331(f331(f244(f885(x96391,a871)),f331(f309(x96392,x96391,f859(x96393,x96391,x96394,x96392)),x96394)),x96393)) % 159.04/158.77 [9290]~P104(f331(f331(f333(x92901),x92902),x92904))+P104(f331(f331(f333(x92901),x92902),x92903))+~P104(f331(f331(f245(f885(x92901,a871)),x92904),f331(f331(f308(x92901),x92902),x92903)))+P104(f331(f331(f245(f885(x92901,a871)),f331(f331(f22(f885(x92901,a871)),x92904),f331(f331(f308(x92901),x92902),f194(f885(x92901,a871))))),x92903)) % 159.04/158.77 [9451]~P104(f331(f331(f333(x94511),x94512),x94514))+P104(f331(f331(f333(x94511),x94512),x94513))+P104(f331(f331(f245(f885(x94511,a871)),x94514),f331(f331(f308(x94511),x94512),x94513)))+~P104(f331(f331(f245(f885(x94511,a871)),f331(f331(f22(f885(x94511,a871)),x94514),f331(f331(f308(x94511),x94512),f194(f885(x94511,a871))))),x94513)) % 159.04/158.77 [9480]P104(f331(f331(f333(x94801),x94802),x94803))+~P104(f331(f331(f244(f885(x94801,a871)),x94804),x94803))+P104(f331(f331(f245(f885(x94801,a871)),x94804),f331(f331(f308(x94801),x94802),x94803)))+~P104(f331(f331(f245(f885(x94801,a871)),f331(f331(f22(f885(x94801,a871)),x94804),f331(f331(f308(x94801),x94802),f194(f885(x94801,a871))))),x94803)) % 159.04/158.77 [9485]~P104(f331(f331(f333(x94851),x94853),x94852))+~P104(f331(f331(f245(f885(x94851,a871)),x94852),x94854))+P104(f331(f331(f245(f885(x94851,a871)),x94852),f331(f331(f308(x94851),x94853),x94854)))+~P104(f331(f331(f245(f885(x94851,a871)),f331(f331(f22(f885(x94851,a871)),x94852),f331(f331(f308(x94851),x94853),f194(f885(x94851,a871))))),x94854)) % 159.04/158.77 [9498]~P104(f331(f331(f244(f885(x94981,a871)),x94982),x94984))+~P104(f331(f331(f245(f885(x94981,a871)),x94982),x94984))+P104(f331(f331(f245(f885(x94981,a871)),x94982),f331(f331(f308(x94981),x94983),x94984)))+~P104(f331(f331(f245(f885(x94981,a871)),f331(f331(f22(f885(x94981,a871)),x94982),f331(f331(f308(x94981),x94983),f194(f885(x94981,a871))))),x94984)) % 159.04/158.77 [9542]~P108(x95422)+~P58(x95421)+~P104(f331(f331(f244(f885(x95421,x95422)),x95423),x95424))+P104(f331(f59(x95421),f331(f331(f18(x95421,x95422,a871),f331(f331(f8(x95422,f885(x95422,a871),x95421),f244(x95422)),x95423)),x95424))) % 159.04/158.77 [9686]~P108(x96862)+~P58(x96861)+P104(f331(f331(f244(f885(x96861,x96862)),x96863),x96864))+~P104(f331(f59(x96861),f331(f331(f18(x96861,x96862,a871),f331(f331(f8(x96862,f885(x96862,a871),x96861),f244(x96862)),x96863)),x96864))) % 159.04/158.77 [9856]E(f331(f331(f164(x98561),f331(f331(f164(f877(x98561)),f180(x98561,x98562)),x98563)),x98564),f331(f331(f164(x98561),f331(f331(f164(f877(x98561)),x98562),x98564)),x98563))+~P104(f331(f331(f245(a876),x98563),f331(f195(f877(f877(x98561))),f180(x98561,x98562))))+~P30(a876,f331(f168(a876),f331(f331(f153(f877(x98561),a876),f195(f877(x98561))),x98562)))+~P104(f331(f331(f245(a876),x98564),f331(f195(f877(f877(x98561))),f331(f135(f877(x98561),f331(f331(f8(a876,a871,f877(x98561)),f331(f245(a876),x98563)),f195(f877(x98561)))),x98562)))) % 159.04/158.77 [9885]~P104(f331(f331(f333(f884(a876,a876)),x98854),x98851))+~P104(f331(f331(f333(f884(f884(a876,a876),f884(a876,a876))),f331(f331(f265(f884(a876,a876),f884(a876,a876)),x98854),x98852)),a35))+~P104(f331(f331(f333(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),f331(f331(f265(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),x98851),x98853)),a36))+P104(f331(f331(f333(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),f331(f331(f265(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),x98851),f331(f331(f308(f884(a876,a876)),x98852),x98853))),a36)) % 159.04/158.77 [9886]~P104(f331(f331(f333(f884(a876,a876)),x98864),x98861))+~P104(f331(f331(f333(f884(f884(a876,a876),f884(a876,a876))),f331(f331(f265(f884(a876,a876),f884(a876,a876)),x98864),x98862)),a70))+~P104(f331(f331(f333(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),f331(f331(f265(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),x98861),x98863)),a71))+P104(f331(f331(f333(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),f331(f331(f265(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),x98861),f331(f331(f308(f884(a876,a876)),x98862),x98863))),a71)) % 159.04/158.77 [9770]~P108(x97702)+~P58(x97701)+~P104(f331(f331(f245(f885(x97701,x97702)),x97703),x97704))+P104(f331(f58(x97701),f331(f331(f8(a871,a871,x97701),a326),f331(f331(f18(x97701,x97702,a871),f331(f331(f8(x97702,f885(x97702,a871),x97701),a328),x97703)),x97704)))) % 159.04/158.77 [9899]~P104(f331(f331(f333(f884(a876,a876)),x98994),x98993))+~P104(f331(f331(f333(f884(f884(a876,a876),f884(a876,a876))),f331(f331(f265(f884(a876,a876),f884(a876,a876)),x98991),x98994)),a35))+~P104(f331(f331(f333(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),f331(f331(f265(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),x98992),x98993)),a37))+P104(f331(f331(f333(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),f331(f331(f265(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),f331(f331(f308(f884(a876,a876)),x98991),x98992)),x98993)),a37)) % 159.04/158.77 [9900]~P104(f331(f331(f333(f884(a876,a876)),x99004),x99003))+~P104(f331(f331(f333(f884(f884(a876,a876),f884(a876,a876))),f331(f331(f265(f884(a876,a876),f884(a876,a876)),x99001),x99004)),a70))+~P104(f331(f331(f333(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),f331(f331(f265(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),x99002),x99003)),a69))+P104(f331(f331(f333(f884(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871))),f331(f331(f265(f885(f884(a876,a876),a871),f885(f884(a876,a876),a871)),f331(f331(f308(f884(a876,a876)),x99001),x99002)),x99003)),a69)) % 159.04/158.77 [6027]~P2(x60274,x60271)+~P104(f331(f331(x60271,x60272),x60275))+P104(f331(f331(x60271,x60272),x60273))+~P104(f331(f331(x60271,x60275),x60273)) % 159.04/158.77 [5286]~P64(x52865)+E(x52861,x52862)+~E(x52863,x52864)+~E(f331(f331(f22(x52865),x52863),x52864),f331(f331(f22(x52865),x52861),x52862)) % 159.04/158.77 [6135]~P13(x61355,x61351,x61353)+E(f331(f331(x61351,x61352),f331(x61353,x61354)),f331(x61353,x61354))+~P104(f331(f62(x61355),x61354))+~P104(f331(f331(f333(x61355),x61352),x61354)) % 159.04/158.77 [6328]~P77(x63281)+~E(f331(f331(f22(x63281),x63284),x63285),f331(f331(f22(x63281),x63282),x63283))+~P104(f331(f331(f244(x63281),x63284),x63285))+P104(f331(f331(f244(x63281),x63282),x63283)) % 159.04/158.77 [6330]~P77(x63301)+~E(f331(f331(f22(x63301),x63304),x63305),f331(f331(f22(x63301),x63302),x63303))+~P104(f331(f331(f245(x63301),x63304),x63305))+P104(f331(f331(f245(x63301),x63302),x63303)) % 159.04/158.77 [7290]~E(x72902,f331(f331(f150(x72901),x72904),x72905))+P104(f331(f331(f333(f877(x72901)),x72902),f160(x72901,x72903)))+~P104(f331(f331(f333(f877(x72901)),x72905),f160(x72901,x72903)))+~P104(f331(f331(f333(x72901),x72904),x72903)) % 159.04/158.77 [7707]~E(f331(f195(f877(x77071)),x77073),f331(f195(f877(x77072)),x77074))+~E(f331(f331(f153(f884(x77071,x77072),x77072),f268(x77071,x77072)),x77075),x77074)+~E(f331(f331(f153(f884(x77071,x77072),x77071),f264(x77071,x77072)),x77075),x77073)+E(f331(f331(f182(x77071,x77072),x77073),x77074),x77075) % 159.04/158.77 [8043]~P108(x80431)+P104(f331(f331(f245(f885(x80431,a871)),f301(x80431,x80432,x80433)),f301(x80431,x80434,x80435)))+~P104(f331(f331(f244(x80431),x80434),x80435))+P104(f331(f331(f244(x80431),x80432),x80433)) % 159.04/158.77 [8139]~P108(x81391)+P104(f331(f331(f244(f885(x81391,a871)),f301(x81391,x81392,x81393)),f301(x81391,x81394,x81395)))+~P104(f331(f331(f244(x81391),x81393),x81395))+~P104(f331(f331(f244(x81391),x81394),x81392)) % 159.04/158.77 [8264]~P107(x82641)+P104(f331(f331(f244(x82641),x82642),x82643))+P104(f331(f331(f244(x82641),x82644),x82643))+~P104(f331(f331(f244(f885(x82641,a871)),f331(f300(x82641,x82643),x82642)),f331(f300(x82641,x82644),x82645))) % 159.04/158.77 [8265]~P107(x82651)+P104(f331(f331(f244(x82651),x82652),x82653))+P104(f331(f331(f244(x82651),x82652),x82654))+~P104(f331(f331(f244(f885(x82651,a871)),f331(f300(x82651,x82653),x82652)),f331(f300(x82651,x82655),x82654))) % 159.04/158.77 [8505]~P108(x85051)+~P104(f331(f331(f244(f885(x85051,a871)),f301(x85051,x85054,x85052)),f301(x85051,x85055,x85053)))+P104(f331(f331(f244(x85051),x85052),x85053))+~P104(f331(f331(f244(x85051),x85054),x85052)) % 159.04/158.77 [8506]~P108(x85061)+~P104(f331(f331(f245(f885(x85061,a871)),f301(x85061,x85064,x85062)),f301(x85061,x85065,x85063)))+P104(f331(f331(f244(x85061),x85062),x85063))+~P104(f331(f331(f244(x85061),x85064),x85062)) % 159.04/158.77 [8507]~P108(x85071)+~P104(f331(f331(f244(f885(x85071,a871)),f301(x85071,x85073,x85074)),f301(x85071,x85072,x85075)))+P104(f331(f331(f244(x85071),x85072),x85073))+~P104(f331(f331(f244(x85071),x85073),x85074)) % 159.04/158.77 [8508]~P108(x85081)+~P104(f331(f331(f245(f885(x85081,a871)),f301(x85081,x85083,x85084)),f301(x85081,x85082,x85085)))+P104(f331(f331(f244(x85081),x85082),x85083))+~P104(f331(f331(f244(x85081),x85083),x85084)) % 159.04/158.77 [6026]~P13(x60262,x60265,x60263)+E(x60261,f194(f885(x60262,a871)))+~P104(f331(f62(x60262),x60261))+E(f331(x60263,f331(f331(f308(x60262),x60264),x60261)),f331(f331(x60265,x60264),f331(x60263,x60261))) % 159.04/158.77 [6793]~E(x67931,x67932)+~E(f331(f331(f105(f885(x67933,a871)),x67934),x67935),f194(f885(x67933,a871)))+~P104(f331(f331(f333(x67933),x67932),x67935))+~P104(f331(f331(f333(x67933),x67931),x67934)) % 159.04/158.77 [6874]~P14(x68742,x68745,x68741)+~P104(f331(f62(x68742),x68744))+E(f331(x68741,f331(f331(f308(x68742),x68743),x68744)),f331(f331(f65(x68742,x68742,x68745),x68743),x68744))+P104(f331(f331(f333(x68742),x68743),x68744)) % 159.04/158.77 [6941]~P69(x69412)+~P104(f331(f62(x69411),x69415))+E(f331(f331(f6(x69411,x69412),x69413),f331(f331(f308(x69411),x69414),x69415)),f331(f331(f80(x69412),f331(x69413,x69414)),f331(f331(f6(x69411,x69412),x69413),x69415)))+P104(f331(f331(f333(x69411),x69414),x69415)) % 159.04/158.77 [6943]~P68(x69432)+~P104(f331(f62(x69431),x69435))+E(f331(f331(f9(x69431,x69432),x69433),f331(f331(f308(x69431),x69434),x69435)),f331(f331(f81(x69432),f331(x69433,x69434)),f331(f331(f9(x69431,x69432),x69433),x69435)))+P104(f331(f331(f333(x69431),x69434),x69435)) % 159.04/158.77 [7447]~P14(x74472,x74475,x74471)+~P104(f331(f62(x74472),x74474))+E(f331(x74471,f331(f331(f308(x74472),x74473),x74474)),x74473)+~E(f331(f331(f22(f885(x74472,a871)),x74474),f331(f331(f308(x74472),x74473),f194(f885(x74472,a871)))),f194(f885(x74472,a871))) % 159.04/158.77 [7758]~P104(f331(x77581,x77583))+~P104(f331(f331(f201(x77582),x77583),x77585))+~P104(f331(f331(f201(f32(x77581,x77582)),x77585),x77584))+P104(f331(f331(f201(f32(x77581,x77582)),x77583),x77584)) % 159.04/158.77 [7810]~P99(x78101)+~P104(f331(f331(f244(x78101),x78103),x78105))+~P104(f331(f331(f244(x78101),x78102),x78104))+P104(f331(f331(f244(x78101),f331(f331(f114(x78101),x78102),x78103)),f331(f331(f114(x78101),x78104),x78105))) % 159.04/158.77 [7811]~P100(x78111)+~P104(f331(f331(f244(x78111),x78113),x78115))+~P104(f331(f331(f244(x78111),x78112),x78114))+P104(f331(f331(f244(x78111),f331(f331(f105(x78111),x78112),x78113)),f331(f331(f105(x78111),x78114),x78115))) % 159.04/158.77 [7812]~P85(x78121)+~P104(f331(f331(f244(x78121),x78123),x78125))+~P104(f331(f331(f244(x78121),x78122),x78124))+P104(f331(f331(f244(x78121),f331(f331(f80(x78121),x78122),x78123)),f331(f331(f80(x78121),x78124),x78125))) % 159.04/158.77 [7813]~P107(x78131)+~P104(f331(f331(f244(x78131),x78133),x78135))+~P104(f331(f331(f244(x78131),x78132),x78134))+P104(f331(f331(f244(x78131),f331(f331(f242(x78131),x78132),x78133)),f331(f331(f242(x78131),x78134),x78135))) % 159.04/158.77 [7814]~P107(x78141)+~P104(f331(f331(f244(x78141),x78143),x78145))+~P104(f331(f331(f244(x78141),x78142),x78144))+P104(f331(f331(f244(x78141),f331(f331(f243(x78141),x78142),x78143)),f331(f331(f243(x78141),x78144),x78145))) % 159.04/158.77 [7815]~P83(x78151)+~P104(f331(f331(f244(x78151),x78153),x78155))+~P104(f331(f331(f245(x78151),x78152),x78154))+P104(f331(f331(f245(x78151),f331(f331(f80(x78151),x78152),x78153)),f331(f331(f80(x78151),x78154),x78155))) % 159.04/158.77 [7816]~P83(x78161)+~P104(f331(f331(f244(x78161),x78162),x78164))+~P104(f331(f331(f245(x78161),x78163),x78165))+P104(f331(f331(f245(x78161),f331(f331(f80(x78161),x78162),x78163)),f331(f331(f80(x78161),x78164),x78165))) % 159.04/158.77 [7817]~P83(x78171)+~P104(f331(f331(f245(x78171),x78173),x78175))+~P104(f331(f331(f245(x78171),x78172),x78174))+P104(f331(f331(f245(x78171),f331(f331(f80(x78171),x78172),x78173)),f331(f331(f80(x78171),x78174),x78175))) % 159.04/158.77 [7953]~P141(x79535)+E(x79531,x79532)+E(x79533,x79534)+~E(f331(f331(f80(x79535),f331(f331(f81(x79535),x79533),x79531)),f331(f331(f81(x79535),x79534),x79532)),f331(f331(f80(x79535),f331(f331(f81(x79535),x79533),x79532)),f331(f331(f81(x79535),x79534),x79531))) % 159.04/158.77 [8094]P31(x80941,x80942,x80943)+~P23(x80941,x80944,x80945)+~P31(x80941,x80942,f573(x80945,x80944,x80941,x80942))+~P104(f331(f331(f333(f875(x80941)),x80943),x80945)) % 159.04/158.77 [8162]~P107(x81624)+~P104(f331(f136(x81621),x81623))+P104(f331(f331(f333(x81621),x81622),f331(f172(x81621),x81623)))+P104(f331(f136(x81621),f331(f331(f147(x81621,x81624,x81625),x81622),x81623))) % 159.04/158.77 [8310]~P64(x83101)+E(f331(f331(f22(x83101),f331(f331(f6(a876,x83101),x83102),f331(f300(a876,x83103),x83104))),f331(f331(f6(a876,x83101),x83102),f331(f300(a876,x83103),x83105))),f331(f331(f6(a876,x83101),x83102),f331(f300(a876,x83105),x83104)))+~P104(f331(f331(f244(a876),x83105),x83104))+~P104(f331(f331(f244(a876),x83103),x83105)) % 159.04/158.77 [8311]~P69(x83111)+E(f331(f331(f80(x83111),f331(f331(f6(a876,x83111),x83112),f331(f300(a876,x83113),x83114))),f331(f331(f6(a876,x83111),x83112),f331(f300(a876,x83114),x83115))),f331(f331(f6(a876,x83111),x83112),f331(f300(a876,x83113),x83115)))+~P104(f331(f331(f244(a876),x83114),x83115))+~P104(f331(f331(f244(a876),x83113),x83114)) % 159.04/158.77 [8641]~P60(x86412)+E(x86411,f2(x86412))+E(x86413,f2(x86412))+E(f331(f331(f288(x86412),f331(f331(f22(x86412),f331(f331(f81(x86412),x86414),x86411)),f331(f331(f81(x86412),x86415),x86413))),f331(f331(f81(x86412),x86413),x86411)),f331(f331(f22(x86412),f331(f331(f288(x86412),x86414),x86413)),f331(f331(f288(x86412),x86415),x86411))) % 159.04/158.77 [8642]~P60(x86422)+E(x86421,f2(x86422))+E(x86423,f2(x86422))+E(f331(f331(f288(x86422),f331(f331(f80(x86422),f331(f331(f81(x86422),x86424),x86421)),f331(f331(f81(x86422),x86425),x86423))),f331(f331(f81(x86422),x86423),x86421)),f331(f331(f80(x86422),f331(f331(f288(x86422),x86424),x86423)),f331(f331(f288(x86422),x86425),x86421))) % 159.04/158.77 [8651]~E(x86512,f331(x86513,x86511))+E(x86511,f828(x86512,x86513,x86514,x86515))+~P21(x86515,x86514,x86513,f253(f885(x86515,a871)))+~P104(f331(f331(f333(x86514),x86512),f331(f309(x86515,x86514,x86513),f253(f885(x86515,a871))))) % 159.04/158.77 [8846]~P119(x88461)+~P104(f331(f331(f245(x88461),f331(f75(x88461),x88462)),x88464))+P104(f331(f331(f245(x88461),f331(f331(f81(x88461),f331(f75(x88461),x88462)),f331(f75(x88461),x88463))),f331(f331(f81(x88461),x88464),x88465)))+~P104(f331(f331(f245(x88461),f331(f75(x88461),x88463)),x88465)) % 159.04/158.77 [8863]~P23(x88631,x88635,x88634)+P31(x88631,x88632,x88633)+P104(f331(f331(f333(f875(x88631)),f573(x88634,x88635,x88631,x88632)),x88635))+~P104(f331(f331(f333(f875(x88631)),x88633),x88634)) % 159.04/158.77 [8968]~P21(x89681,x89683,x89685,x89682)+~P104(f331(f62(x89683),x89684))+P104(f331(f331(f244(a876),f331(f38(x89681),x89682)),f331(f38(x89683),x89684)))+~P104(f331(f331(f244(f885(x89683,a871)),f331(f309(x89681,x89683,x89685),x89682)),x89684)) % 159.04/158.77 [9037]~P69(x90372)+~P21(x90371,x90371,x90374,x90375)+~P104(f331(f62(x90371),x90375))+E(f331(f331(f6(x90371,x90372),f331(f73(x90371,x90372,x90371,x90373),x90374)),x90375),f331(f331(f6(x90371,x90372),x90373),f331(f309(x90371,x90371,x90374),x90375))) % 159.04/158.77 [9038]~P68(x90382)+~P21(x90381,x90381,x90384,x90385)+~P104(f331(f62(x90381),x90385))+E(f331(f331(f9(x90381,x90382),f331(f73(x90381,x90382,x90381,x90383),x90384)),x90385),f331(f331(f9(x90381,x90382),x90383),f331(f309(x90381,x90381,x90384),x90385))) % 159.04/158.77 [9152]~P39(x91521,x91522)+~P104(f331(f331(f333(x91521),x91523),x91524))+~P104(f331(f331(f333(x91521),x91525),x91524))+~P104(f331(f331(f333(f884(x91521,x91521)),f331(f331(f265(x91521,x91521),x91525),f760(x91522,x91521,x91524))),x91522)) % 159.04/158.77 [9190]~P21(x91902,x91903,x91905,x91901)+E(x91901,f194(f885(x91902,a871)))+E(f331(f309(x91903,x91902,f830(x91904,x91903,x91902,x91901)),x91904),x91901)+~P104(f331(f331(f244(f885(x91903,a871)),f331(f309(x91902,x91903,x91905),x91901)),x91904)) % 159.04/158.77 [9668]~P107(x96685)+~P28(x96685)+P104(f331(f331(f333(x96681),f491(x96682,x96683,x96681,x96684,x96685)),x96683))+~P104(f331(f331(f245(x96685),x96684),f331(f331(f42(x96681,x96685),x96683),x96682))) % 159.04/158.77 [9673]~P107(x96731)+~P28(x96731)+P104(f331(f331(f245(x96731),x96732),f331(x96733,f491(x96733,x96734,x96735,x96732,x96731))))+~P104(f331(f331(f245(x96731),x96732),f331(f331(f42(x96735,x96731),x96734),x96733))) % 159.04/158.77 [9750]~P66(x97501)+~P104(f331(f67(x97501,x97501,f81(x97501),x97502,x97503),x97505))+P104(f331(f331(f333(x97501),x97502),x97503))+P104(f331(f67(x97501,x97501,f81(x97501),x97504,f331(f331(f308(x97501),x97502),x97503)),f331(f331(f81(x97501),x97504),x97505))) % 159.04/158.77 [9967]~P69(x99672)+~P104(f331(f62(x99671),x99675))+E(f331(f331(f6(x99671,x99672),f331(f331(f7(x99671,x99672,x99672),f331(f331(f18(x99671,x99672,f885(x99672,x99672)),f331(f331(f8(a871,f885(x99672,f885(x99672,x99672)),x99671),f100(x99672)),f331(a328,x99673))),x99674)),f2(x99672))),x99675),f2(x99672))+P104(f331(f331(f333(x99671),x99673),x99675)) % 159.04/158.77 [9968]~P68(x99682)+~P104(f331(f62(x99681),x99685))+E(f331(f331(f9(x99681,x99682),f331(f331(f7(x99681,x99682,x99682),f331(f331(f18(x99681,x99682,f885(x99682,x99682)),f331(f331(f8(a871,f885(x99682,f885(x99682,x99682)),x99681),f100(x99682)),f331(a328,x99683))),x99684)),f78(x99682))),x99685),f78(x99682))+P104(f331(f331(f333(x99681),x99683),x99685)) % 159.04/158.77 [9969]~P69(x99692)+~P104(f331(f62(x99691),x99695))+E(f331(f331(f6(x99691,x99692),f331(f331(f7(x99691,x99692,x99692),f331(f331(f18(x99691,x99692,f885(x99692,x99692)),f331(f331(f8(a871,f885(x99692,f885(x99692,x99692)),x99691),f100(x99692)),f331(a328,x99693))),x99694)),f2(x99692))),x99695),f331(x99694,x99693))+~P104(f331(f331(f333(x99691),x99693),x99695)) % 159.04/158.77 [9970]~P68(x99702)+~P104(f331(f62(x99701),x99705))+E(f331(f331(f9(x99701,x99702),f331(f331(f7(x99701,x99702,x99702),f331(f331(f18(x99701,x99702,f885(x99702,x99702)),f331(f331(f8(a871,f885(x99702,f885(x99702,x99702)),x99701),f100(x99702)),f331(a328,x99703))),x99704)),f78(x99702))),x99705),f331(x99704,x99703))+~P104(f331(f331(f333(x99701),x99703),x99705)) % 159.04/158.77 [10025]~P69(x100252)+~P104(f331(f62(x100251),x100255))+E(f331(f331(f6(x100251,x100252),f331(f331(f7(x100251,x100252,x100252),f331(f331(f18(x100251,x100252,f885(x100252,x100252)),f331(f331(f8(a871,f885(x100252,f885(x100252,x100252)),x100251),f100(x100252)),f331(f331(f7(x100251,x100251,a871),a328),x100253))),x100254)),f2(x100252))),x100255),f2(x100252))+P104(f331(f331(f333(x100251),x100253),x100255)) % 159.04/158.77 [10026]~P68(x100262)+~P104(f331(f62(x100261),x100265))+E(f331(f331(f9(x100261,x100262),f331(f331(f7(x100261,x100262,x100262),f331(f331(f18(x100261,x100262,f885(x100262,x100262)),f331(f331(f8(a871,f885(x100262,f885(x100262,x100262)),x100261),f100(x100262)),f331(f331(f7(x100261,x100261,a871),a328),x100263))),x100264)),f78(x100262))),x100265),f78(x100262))+P104(f331(f331(f333(x100261),x100263),x100265)) % 159.04/158.77 [10028]~P69(x100282)+~P104(f331(f62(x100281),x100285))+E(f331(f331(f6(x100281,x100282),f331(f331(f7(x100281,x100282,x100282),f331(f331(f18(x100281,x100282,f885(x100282,x100282)),f331(f331(f8(a871,f885(x100282,f885(x100282,x100282)),x100281),f100(x100282)),f331(f331(f7(x100281,x100281,a871),a328),x100283))),x100284)),f2(x100282))),x100285),f331(x100284,x100283))+~P104(f331(f331(f333(x100281),x100283),x100285)) % 159.04/158.77 [10029]~P68(x100292)+~P104(f331(f62(x100291),x100295))+E(f331(f331(f9(x100291,x100292),f331(f331(f7(x100291,x100292,x100292),f331(f331(f18(x100291,x100292,f885(x100292,x100292)),f331(f331(f8(a871,f885(x100292,f885(x100292,x100292)),x100291),f100(x100292)),f331(f331(f7(x100291,x100291,a871),a328),x100293))),x100294)),f78(x100292))),x100295),f331(x100294,x100293))+~P104(f331(f331(f333(x100291),x100293),x100295)) % 159.04/158.77 [7809]~P64(x78092)+~P104(f331(f62(x78091),x78094))+E(f331(f331(f6(x78091,x78092),x78093),f331(f331(f22(f885(x78091,a871)),x78094),f331(f331(f308(x78091),x78095),f194(f885(x78091,a871))))),f331(f331(f6(x78091,x78092),x78093),x78094))+P104(f331(f331(f333(x78091),x78095),x78094)) % 159.04/158.77 [8316]~P118(x83162)+~P104(f331(f62(x83161),x83164))+E(f331(f331(f6(x83161,x83162),x83163),f331(f331(f22(f885(x83161,a871)),x83164),f331(f331(f308(x83161),x83165),f194(f885(x83161,a871))))),f331(f331(f22(x83162),f331(f331(f6(x83161,x83162),x83163),x83164)),f331(x83163,x83165)))+~P104(f331(f331(f333(x83161),x83165),x83164)) % 159.04/158.77 [8317]~P64(x83172)+~P104(f331(f62(x83171),x83174))+E(f331(f331(f6(x83171,x83172),x83173),f331(f331(f22(f885(x83171,a871)),x83174),f331(f331(f308(x83171),x83175),f194(f885(x83171,a871))))),f331(f331(f22(x83172),f331(f331(f6(x83171,x83172),x83173),x83174)),f331(x83173,x83175)))+~P104(f331(f331(f333(x83171),x83175),x83174)) % 159.04/158.77 [8348]~P64(x83481)+~P104(f331(f62(x83482),x83484))+E(f331(f331(f22(x83481),f331(f331(f6(x83482,x83481),x83483),x83484)),f331(f331(f6(x83482,x83481),x83483),x83485)),f331(f331(f6(x83482,x83481),x83483),f331(f331(f22(f885(x83482,a871)),x83484),x83485)))+~P104(f331(f331(f244(f885(x83482,a871)),x83485),x83484)) % 159.04/158.77 [8368]P104(f331(f62(x83681),f331(x83682,x83683)))+~P104(f331(f62(x83684),x83685))+~P104(f331(f331(f333(x83684),x83683),x83685))+~P104(f331(f62(x83681),f331(f331(f42(x83684,f885(x83681,a871)),x83685),x83682))) % 159.04/158.77 [8809]~P3(x88091,x88095,x88094)+~E(f331(f284(x88091,x88091,x88094),f331(f331(f308(x88091),x88092),f194(f885(x88091,a871)))),f331(f284(x88091,x88091,x88094),f331(f331(f308(x88091),x88093),f194(f885(x88091,a871)))))+~P104(f331(f331(f333(x88091),x88093),x88095))+P104(f331(f331(f333(f884(x88091,x88091)),f331(f331(f265(x88091,x88091),x88092),x88093)),x88094)) % 159.04/158.77 [9109]~P104(f331(x91091,x91095))+P104(f331(x91091,f496(x91091,x91092,x91093,x91094)))+P104(f331(x91091,f486(x91091,x91092,x91093,x91094)))+~P104(f331(f331(f333(x91094),x91095),f331(f331(f114(f885(x91094,a871)),x91093),x91092))) % 159.04/158.77 [9295]~P104(f331(x92951,x92955))+P104(f331(x92951,f486(x92951,x92952,x92953,x92954)))+P104(f331(f331(f333(x92954),f496(x92951,x92952,x92953,x92954)),x92952))+~P104(f331(f331(f333(x92954),x92955),f331(f331(f114(f885(x92954,a871)),x92953),x92952))) % 159.04/158.77 [9296]~P104(f331(x92961,x92965))+P104(f331(x92961,f496(x92961,x92962,x92963,x92964)))+P104(f331(f331(f333(x92964),f486(x92961,x92962,x92963,x92964)),x92963))+~P104(f331(f331(f333(x92964),x92965),f331(f331(f114(f885(x92964,a871)),x92963),x92962))) % 159.04/158.77 [9302]P104(f331(x93021,x93022))+~P104(f331(x93021,f535(x93021,x93023,x93024,x93025)))+~P104(f331(x93021,f525(x93021,x93023,x93024,x93025)))+~P104(f331(f331(f333(x93025),x93022),f331(f331(f114(f885(x93025,a871)),x93024),x93023))) % 159.04/158.77 [9344]E(x93441,x93442)+~P104(f331(f331(f333(f884(x93443,x93443)),f331(f331(f265(x93443,x93443),x93441),x93442)),f306(x93443,x93445)))+P104(f331(f331(f333(x93443),x93441),x93444))+~P104(f331(f331(f244(f885(f884(x93443,x93443),a871)),x93445),f331(f331(f267(x93443,x93443),x93444),f331(f16(f885(x93443,a871),x93443),x93444)))) % 159.04/158.77 [9363]P104(f331(x93631,x93632))+~P104(f331(x93631,f525(x93631,x93634,x93635,x93633)))+P104(f331(f331(f333(x93633),f535(x93631,x93634,x93635,x93633)),x93634))+~P104(f331(f331(f333(x93633),x93632),f331(f331(f114(f885(x93633,a871)),x93635),x93634))) % 159.04/158.77 [9364]P104(f331(x93641,x93642))+~P104(f331(x93641,f535(x93641,x93644,x93645,x93643)))+P104(f331(f331(f333(x93643),f525(x93641,x93644,x93645,x93643)),x93645))+~P104(f331(f331(f333(x93643),x93642),f331(f331(f114(f885(x93643,a871)),x93645),x93644))) % 159.04/158.77 [9425]P104(f331(x94251,x94252))+P104(f331(f331(f333(x94253),f535(x94251,x94254,x94255,x94253)),x94254))+P104(f331(f331(f333(x94253),f525(x94251,x94254,x94255,x94253)),x94255))+~P104(f331(f331(f333(x94253),x94252),f331(f331(f114(f885(x94253,a871)),x94255),x94254))) % 159.04/158.77 [9427]~P104(f331(x94272,x94275))+P104(f331(f331(f333(x94271),f496(x94272,x94273,x94274,x94271)),x94273))+P104(f331(f331(f333(x94271),f486(x94272,x94273,x94274,x94271)),x94274))+~P104(f331(f331(f333(x94271),x94275),f331(f331(f114(f885(x94271,a871)),x94274),x94273))) % 159.04/158.77 [9575]~P3(x95751,x95755,x95754)+~P104(f331(f331(f333(x95751),x95753),x95755))+P104(f331(f331(f333(f884(x95751,x95751)),f331(f331(f265(x95751,x95751),x95752),x95753)),x95754))+~P104(f331(f331(f244(f885(x95751,a871)),f331(f284(x95751,x95751,x95754),f331(f331(f308(x95751),x95753),f194(f885(x95751,a871))))),f331(f284(x95751,x95751,x95754),f331(f331(f308(x95751),x95752),f194(f885(x95751,a871)))))) % 159.04/158.77 [9698]~P107(x96985)+~P28(x96985)+P104(f331(f331(f333(x96981),f617(x96982,x96983,x96984,x96981,x96985)),x96984))+~P104(f331(f331(f245(x96985),f331(f331(f43(x96981,x96985),x96984),x96983)),x96982)) % 159.04/158.77 [9730]~P85(x97305)+~P80(x97305)+P104(f331(f331(f333(x97301),f551(x97302,x97303,x97304,x97301,x97305)),f331(f172(x97301),x97304)))+P104(f331(f331(f244(x97305),f331(f165(x97305),f331(f331(f153(x97301,x97305),x97303),x97304))),f331(f165(x97305),f331(f331(f153(x97301,x97305),x97302),x97304)))) % 159.04/158.77 [9845]~P107(x98451)+~P28(x98451)+P104(f331(f331(f245(x98451),f331(x98452,f617(x98453,x98452,x98454,x98455,x98451))),x98453))+~P104(f331(f331(f245(x98451),f331(f331(f43(x98455,x98451),x98454),x98452)),x98453)) % 159.04/158.77 [9985]~P85(x99851)+~P80(x99851)+~P104(f331(f331(f244(x99851),f331(x99853,f551(x99855,x99853,x99854,x99852,x99851))),f331(x99855,f551(x99855,x99853,x99854,x99852,x99851))))+P104(f331(f331(f244(x99851),f331(f165(x99851),f331(f331(f153(x99852,x99851),x99853),x99854))),f331(f165(x99851),f331(f331(f153(x99852,x99851),x99855),x99854)))) % 159.04/158.77 [8659]~P69(x86591)+~P104(f331(f62(x86594),x86595))+~P104(f331(f331(f333(x86594),x86593),x86595))+E(f331(f331(f80(x86591),f331(x86592,x86593)),f331(f331(f6(x86594,x86591),x86592),f331(f331(f22(f885(x86594,a871)),x86595),f331(f331(f308(x86594),x86593),f194(f885(x86594,a871)))))),f331(f331(f6(x86594,x86591),x86592),x86595)) % 159.04/158.77 [8660]~P68(x86601)+~P104(f331(f62(x86604),x86605))+~P104(f331(f331(f333(x86604),x86603),x86605))+E(f331(f331(f81(x86601),f331(x86602,x86603)),f331(f331(f9(x86604,x86601),x86602),f331(f331(f22(f885(x86604,a871)),x86605),f331(f331(f308(x86604),x86603),f194(f885(x86604,a871)))))),f331(f331(f9(x86604,x86601),x86602),x86605)) % 159.04/158.77 [8715]~P14(x87151,x87154,x87155)+~P104(f331(f62(x87151),x87152))+E(f331(f331(f22(f885(x87151,a871)),x87152),f331(f331(f308(x87151),x87153),f194(f885(x87151,a871)))),f194(f885(x87151,a871)))+E(f331(f331(x87154,x87153),f331(x87155,f331(f331(f22(f885(x87151,a871)),x87152),f331(f331(f308(x87151),x87153),f194(f885(x87151,a871)))))),f331(x87155,f331(f331(f308(x87151),x87153),x87152))) % 159.04/158.77 [9090]~P68(x90901)+~P104(f331(f62(x90902),x90905))+~P104(f331(f62(x90902),x90904))+E(f331(f331(f81(x90901),f331(f331(f9(x90902,x90901),x90903),f331(f331(f114(f885(x90902,a871)),x90904),x90905))),f331(f331(f9(x90902,x90901),x90903),f331(f331(f105(f885(x90902,a871)),x90904),x90905))),f331(f331(f81(x90901),f331(f331(f9(x90902,x90901),x90903),x90904)),f331(f331(f9(x90902,x90901),x90903),x90905))) % 159.04/158.77 [9091]~P69(x90911)+~P104(f331(f62(x90912),x90915))+~P104(f331(f62(x90912),x90914))+E(f331(f331(f80(x90911),f331(f331(f6(x90912,x90911),x90913),f331(f331(f114(f885(x90912,a871)),x90914),x90915))),f331(f331(f6(x90912,x90911),x90913),f331(f331(f105(f885(x90912,a871)),x90914),x90915))),f331(f331(f80(x90911),f331(f331(f6(x90912,x90911),x90913),x90914)),f331(f331(f6(x90912,x90911),x90913),x90915))) % 159.04/158.77 [9232]~P64(x92321)+~P104(f331(f62(x92322),x92325))+~P104(f331(f62(x92322),x92324))+E(f331(f331(f22(x92321),f331(f331(f80(x92321),f331(f331(f6(x92322,x92321),x92323),x92324)),f331(f331(f6(x92322,x92321),x92323),x92325))),f331(f331(f6(x92322,x92321),x92323),f331(f331(f105(f885(x92322,a871)),x92324),x92325))),f331(f331(f6(x92322,x92321),x92323),f331(f331(f114(f885(x92322,a871)),x92324),x92325))) % 159.04/158.77 [9436]~P21(x94361,x94362,x94363,x94365)+~P21(x94361,x94362,x94363,x94364)+P21(x94361,x94362,x94363,f331(f331(f114(f885(x94361,a871)),x94364),x94365))+~E(f331(f331(f105(f885(x94362,a871)),f331(f309(x94361,x94362,x94363),f331(f331(f22(f885(x94361,a871)),x94364),x94365))),f331(f309(x94361,x94362,x94363),f331(f331(f22(f885(x94361,a871)),x94365),x94364))),f194(f885(x94362,a871))) % 159.04/158.77 [9550]E(x95501,f2(a1))+~P104(f331(f331(f245(a1),f2(a1)),x95503))+~P104(f331(f49(x95502,x95501),f331(f331(f265(a1,a1),x95504),x95505)))+P104(f331(f49(x95502,f331(f331(f81(a1),x95501),x95503)),f331(f331(f265(a1,a1),f331(f331(f39(a1),x95504),x95503)),f331(f331(f80(a1),f331(f331(f81(a1),x95501),f45(a1,x95504,x95503))),x95505)))) % 159.04/158.77 [9558]~P104(f331(f331(f245(a876),f2(a876)),x95583))+~P104(f331(f331(f245(a876),f2(a876)),x95582))+~P104(f331(f48(x95581,x95582),f331(f331(f265(a876,a876),x95584),x95585)))+P104(f331(f48(x95581,f331(f331(f81(a876),x95582),x95583)),f331(f331(f265(a876,a876),f331(f331(f39(a876),x95584),x95583)),f331(f331(f80(a876),f331(f331(f81(a876),x95582),f45(a876,x95584,x95583))),x95585)))) % 159.04/158.77 [9607]~P68(x96071)+~P104(f331(f62(x96072),x96075))+~P104(f331(f62(x96072),x96074))+E(f331(f331(f81(x96071),f331(f331(f331(f66(x96071,x96072,f81(x96071)),x96073),f78(x96071)),f331(f331(f114(f885(x96072,a871)),x96074),x96075))),f331(f331(f331(f66(x96071,x96072,f81(x96071)),x96073),f78(x96071)),f331(f331(f105(f885(x96072,a871)),x96074),x96075))),f331(f331(f81(x96071),f331(f331(f331(f66(x96071,x96072,f81(x96071)),x96073),f78(x96071)),x96074)),f331(f331(f331(f66(x96071,x96072,f81(x96071)),x96073),f78(x96071)),x96075))) % 159.04/158.77 [9609]~E(f331(f331(f175(x96091),x96095),x96092),f331(f331(f175(x96091),x96095),x96093))+P104(f331(f331(f333(f884(f877(x96091),f877(x96091))),f331(f331(f265(f877(x96091),f877(x96091)),x96092),x96093)),f146(x96091,x96094)))+~P104(f331(f331(f245(a876),x96095),f331(f331(f242(a876),f331(f195(f877(x96091)),x96092)),f331(f195(f877(x96091)),x96093))))+~P104(f331(f331(f333(f884(x96091,x96091)),f331(f331(f265(x96091,x96091),f331(f331(f164(x96091),x96092),x96095)),f331(f331(f164(x96091),x96093),x96095))),x96094)) % 159.04/158.77 [9718]~P85(x97185)+~P143(x97185)+P104(f331(f331(f333(x97181),f365(x97182,x97183,x97184,x97181,x97185)),x97184))+P104(f331(f331(f244(x97185),f331(f331(f6(x97181,x97185),x97183),x97184)),f331(f331(f81(x97185),f331(f104(x97185),f331(f38(x97181),x97184))),x97182))) % 159.04/158.77 [9913]~P85(x99131)+~P143(x99131)+~P104(f331(f331(f244(x99131),f331(x99133,f365(x99135,x99133,x99134,x99132,x99131))),x99135))+P104(f331(f331(f244(x99131),f331(f331(f6(x99132,x99131),x99133),x99134)),f331(f331(f81(x99131),f331(f104(x99131),f331(f38(x99132),x99134))),x99135))) % 159.04/158.77 [8687]E(f331(f331(f126(x86871),x86872),x86873),f331(f331(f126(x86871),x86874),x86875))+~E(f331(f331(f175(x86871),f331(f195(f877(x86871)),x86872)),x86874),x86872)+~E(f331(f331(f126(x86871),f331(f331(f137(x86871),f331(f195(f877(x86871)),x86872)),x86874)),x86875),x86873)+P104(f331(f331(f244(a876),f331(f195(f877(x86871)),x86874)),f331(f195(f877(x86871)),x86872))) % 159.04/158.77 [8807]E(f331(f331(f126(x88071),x88072),x88073),f331(f331(f126(x88071),x88074),x88075))+~E(f331(f331(f175(x88071),f331(f195(f877(x88071)),x88072)),x88074),x88072)+~E(x88073,f331(f331(f126(x88071),f331(f331(f137(x88071),f331(f195(f877(x88071)),x88072)),x88074)),x88075))+~P104(f331(f331(f244(a876),f331(f195(f877(x88071)),x88072)),f331(f195(f877(x88071)),x88074))) % 159.04/158.77 [10048]~P104(f331(x100485,x100484))+~P104(f331(f62(x100482),f331(f250(x100482),x100485)))+P104(f331(f62(x100481),f331(f250(x100481),f331(f331(f7(x100481,x100482,a871),x100483),x100484))))+~P104(f331(f62(x100481),f331(f250(x100481),f331(f331(f8(f885(x100482,a871),a871,x100481),f87(x100482)),f331(f331(f8(f885(x100482,a871),f885(x100482,a871),x100481),f331(f18(x100482,a871,a871),f331(f331(f8(a871,f885(a871,a871),x100482),a329),x100485))),x100483))))) % 159.04/158.77 [8483]~P15(x84835,x84831,x84836,x84832)+E(f331(f73(x84831,x84831,x84831,f331(x84832,x84833)),f331(x84832,x84834)),f331(f73(x84831,x84831,x84831,f331(x84832,x84834)),f331(x84832,x84833)))+~P104(f331(f62(x84835),x84834))+~P104(f331(f62(x84835),x84833)) % 159.04/158.77 [7864]~P21(x78641,x78642,x78644,x78643)+~E(f331(x78644,x78646),x78645)+E(f331(f77(x78641,x78642,x78643,x78644),x78645),x78646)+~P104(f331(f331(f333(x78641),x78646),x78643)) % 159.04/158.77 [8063]~P16(x80636,x80631,x80634,x80632)+E(f331(f73(x80631,x80631,x80631,f331(x80632,x80633)),f331(x80634,x80635)),f331(x80632,x80633))+~P104(f331(f62(x80636),x80633))+~P104(f331(f331(f333(x80636),x80635),x80633)) % 159.04/158.77 [9281]~P15(x92813,x92811,x92816,x92812)+E(f331(f73(x92811,x92811,x92811,f331(x92812,f331(f331(f22(f885(x92813,a871)),x92814),f331(f331(f308(x92813),x92815),f194(f885(x92813,a871)))))),f331(x92816,x92815)),f331(x92812,x92814))+~P104(f331(f62(x92813),x92814))+~P104(f331(f331(f333(x92813),x92815),x92814)) % 159.04/158.77 [6946]~P27(x69461)+~E(f45(x69461,x69463,x69464),f45(x69461,x69466,x69464))+~E(f45(x69461,x69462,x69464),f45(x69461,x69465,x69464))+E(f45(x69461,f331(f331(f22(x69461),x69462),x69463),x69464),f45(x69461,f331(f331(f22(x69461),x69465),x69466),x69464)) % 159.04/158.77 [6947]~P26(x69471)+~E(f45(x69471,x69473,x69474),f45(x69471,x69476,x69474))+~E(f45(x69471,x69472,x69474),f45(x69471,x69475,x69474))+E(f45(x69471,f331(f331(f81(x69471),x69472),x69473),x69474),f45(x69471,f331(f331(f81(x69471),x69475),x69476),x69474)) % 159.04/158.77 [6948]~P26(x69481)+~E(f45(x69481,x69483,x69484),f45(x69481,x69486,x69484))+~E(f45(x69481,x69482,x69484),f45(x69481,x69485,x69484))+E(f45(x69481,f331(f331(f80(x69481),x69482),x69483),x69484),f45(x69481,f331(f331(f80(x69481),x69485),x69486),x69484)) % 159.04/158.77 [7760]~P12(x77601,x77602,x77603)+~P104(f331(f62(x77601),x77606))+E(f331(f331(f65(x77601,x77602,x77603),x77604),f331(f331(f308(x77601),x77605),x77606)),f331(f331(f65(x77601,x77602,x77603),f331(f331(x77603,x77605),x77604)),x77606))+P104(f331(f331(f333(x77601),x77605),x77606)) % 159.04/158.77 [7822]~P28(x78221)+P104(f331(f331(f244(x78221),x78222),f331(x78223,x78224)))+~P104(f331(f331(f333(x78225),x78224),x78226))+~P104(f331(f331(f244(x78221),x78222),f331(f331(f43(x78225,x78221),x78226),x78223))) % 159.04/158.77 [7982]~P12(x79821,x79822,x79823)+~P104(f331(f62(x79821),x79826))+E(f331(f331(f65(x79821,x79822,x79823),x79824),f331(f331(f308(x79821),x79825),x79826)),f331(f331(x79823,x79825),f331(f331(f65(x79821,x79822,x79823),x79824),x79826)))+P104(f331(f331(f333(x79821),x79825),x79826)) % 159.04/158.77 [8079]~P107(x80793)+~P104(f331(x80792,x80795))+~P30(x80793,f331(f331(f153(x80791,x80793),x80794),x80796))+E(f331(f135(x80791,x80792),f331(f331(f147(x80791,x80793,x80794),x80795),x80796)),f331(f331(f147(x80791,x80793,x80794),x80795),f331(f135(x80791,x80792),x80796))) % 159.04/158.77 [8102]E(x81021,x81022)+E(x81023,f2(a1))+~P104(f331(f49(x81024,x81023),f331(f331(f265(a1,a1),x81025),x81022)))+~P104(f331(f49(x81024,x81023),f331(f331(f265(a1,a1),x81026),x81021))) % 159.04/158.77 [8103]E(x81031,x81032)+E(x81033,f2(a1))+~P104(f331(f49(x81034,x81033),f331(f331(f265(a1,a1),x81032),x81035)))+~P104(f331(f49(x81034,x81033),f331(f331(f265(a1,a1),x81031),x81036))) % 159.04/158.77 [8123]~P15(x81232,x81235,x81236,x81231)+~P104(f331(f62(x81232),x81234))+E(f331(x81231,f331(f331(f308(x81232),x81233),x81234)),f331(f73(x81235,x81235,x81235,f331(x81231,x81234)),f331(x81236,x81233)))+P104(f331(f331(f333(x81232),x81233),x81234)) % 159.04/158.77 [8351]~P16(x83515,x83511,x83516,x83512)+E(f331(f73(x83511,x83511,x83511,f331(x83512,x83513)),f331(x83512,x83514)),f331(x83512,x83513))+~P104(f331(f62(x83515),x83513))+~P104(f331(f331(f244(f885(x83515,a871)),x83514),x83513)) % 159.04/158.77 [9482]~P21(x94821,x94822,x94824,x94823)+~P104(f331(f331(f333(x94822),x94825),f331(f309(x94821,x94822,x94824),x94823)))+P104(f331(f331(f333(x94821),f331(f77(x94821,x94822,x94823,x94824),x94825)),x94826))+~P104(f331(f331(f244(f885(x94821,a871)),x94823),x94826)) % 159.04/158.77 [9858]~P69(x98582)+~E(f345(x98581,x98583,x98585,x98586,x98584,x98582),f346(x98581,x98583,x98585,x98586,x98584,x98582))+~P104(f331(f62(x98584),x98586))+E(f331(f331(f6(x98581,x98582),x98583),f331(f309(x98584,x98581,x98585),x98586)),f331(f331(f6(x98584,x98582),f331(f73(x98581,x98582,x98584,x98583),x98585)),x98586)) % 159.04/158.77 [9895]~P69(x98956)+E(f331(x98951,f345(x98952,x98953,x98951,x98954,x98955,x98956)),f331(x98951,f346(x98952,x98953,x98951,x98954,x98955,x98956)))+E(f331(f331(f6(x98952,x98956),x98953),f331(f309(x98955,x98952,x98951),x98954)),f331(f331(f6(x98955,x98956),f331(f73(x98952,x98956,x98955,x98953),x98951)),x98954))+~P104(f331(f62(x98955),x98954)) % 159.04/158.77 [9935]~P69(x99352)+~E(f331(x99353,f331(x99355,f346(x99351,x99353,x99355,x99356,x99354,x99352))),f2(x99352))+~P104(f331(f62(x99354),x99356))+E(f331(f331(f6(x99351,x99352),x99353),f331(f309(x99354,x99351,x99355),x99356)),f331(f331(f6(x99354,x99352),f331(f73(x99351,x99352,x99354,x99353),x99355)),x99356)) % 159.04/158.77 [9993]~P69(x99932)+~P104(f331(f62(x99934),x99936))+E(f331(f331(f6(x99931,x99932),x99933),f331(f309(x99934,x99931,x99935),x99936)),f331(f331(f6(x99934,x99932),f331(f73(x99931,x99932,x99934,x99933),x99935)),x99936))+P104(f331(f331(f333(x99934),f346(x99931,x99933,x99935,x99936,x99934,x99932)),x99936)) % 159.04/158.77 [9994]~P69(x99942)+~P104(f331(f62(x99944),x99946))+E(f331(f331(f6(x99941,x99942),x99943),f331(f309(x99944,x99941,x99945),x99946)),f331(f331(f6(x99944,x99942),f331(f73(x99941,x99942,x99944,x99943),x99945)),x99946))+P104(f331(f331(f333(x99944),f345(x99941,x99943,x99945,x99946,x99944,x99942)),x99946)) % 159.04/158.77 [10107]~P68(x101071)+~P104(f331(f62(x101072),x101076))+E(f331(f331(f331(f66(x101071,x101072,f81(x101071)),f331(f331(f18(x101072,f885(x101073,a871),x101071),f331(f331(f7(x101072,x101071,f885(f885(x101073,a871),x101071)),f331(f331(f8(f885(x101073,x101071),f885(x101071,f885(f885(x101073,a871),x101071)),x101072),f66(x101071,x101073,f81(x101071))),x101074)),f78(x101071))),x101075)),f78(x101071)),x101076),f331(f331(f331(f66(x101071,f884(x101072,x101073),f81(x101071)),f331(f269(x101072,x101073,x101071),x101074)),f78(x101071)),f331(f331(f267(x101072,x101073),x101076),x101075)))+P104(f331(f331(f333(x101072),f593(x101074,x101075,x101073,x101076,x101072,x101071)),x101076)) % 159.04/158.77 [10125]~P68(x101251)+~P104(f331(f62(x101252),x101256))+E(f331(f331(f331(f66(x101251,x101252,f81(x101251)),f331(f331(f18(x101252,f885(x101253,a871),x101251),f331(f331(f7(x101252,x101251,f885(f885(x101253,a871),x101251)),f331(f331(f8(f885(x101253,x101251),f885(x101251,f885(f885(x101253,a871),x101251)),x101252),f66(x101251,x101253,f81(x101251))),x101254)),f78(x101251))),x101255)),f78(x101251)),x101256),f331(f331(f331(f66(x101251,f884(x101252,x101253),f81(x101251)),f331(f269(x101252,x101253,x101251),x101254)),f78(x101251)),f331(f331(f267(x101252,x101253),x101256),x101255)))+~P104(f331(f62(x101253),f331(x101255,f593(x101254,x101255,x101253,x101256,x101252,x101251)))) % 159.04/158.77 [8263]~P16(x82632,x82635,x82636,x82631)+~P104(f331(f62(x82632),x82634))+~P104(f331(f62(x82632),x82633))+E(f331(x82631,f331(f331(f114(f885(x82632,a871)),x82633),x82634)),f331(f73(x82635,x82635,x82635,f331(x82631,x82633)),f331(x82631,x82634))) % 159.04/158.77 [8484]~P28(x84841)+P104(f331(f331(f244(x84841),f331(x84842,x84843)),x84844))+~P104(f331(f331(f333(x84845),x84843),x84846))+~P104(f331(f331(f244(x84841),f331(f331(f42(x84845,x84841),x84846),x84842)),x84844)) % 159.04/158.77 [8887]~P21(x88872,x88871,x88873,x88876)+E(f331(f331(f22(f885(x88871,a871)),f331(f309(x88872,x88871,x88873),x88874)),f331(f309(x88872,x88871,x88873),x88875)),f331(f309(x88872,x88871,x88873),f331(f331(f22(f885(x88872,a871)),x88874),x88875)))+~P104(f331(f331(f244(f885(x88872,a871)),x88875),x88876))+~P104(f331(f331(f244(f885(x88872,a871)),x88874),x88876)) % 159.04/158.77 [8888]~P21(x88882,x88881,x88883,x88886)+E(f331(f331(f105(f885(x88881,a871)),f331(f309(x88882,x88881,x88883),x88884)),f331(f309(x88882,x88881,x88883),x88885)),f331(f309(x88882,x88881,x88883),f331(f331(f105(f885(x88882,a871)),x88884),x88885)))+~P104(f331(f331(f244(f885(x88882,a871)),x88885),x88886))+~P104(f331(f331(f244(f885(x88882,a871)),x88884),x88886)) % 159.04/158.77 [8926]~P104(f331(x89261,x89263))+~P104(f331(f331(f331(f331(a203,x89262),x89263),x89264),x89266))+~P104(f331(f331(f331(f331(a203,f32(x89261,x89262)),x89266),x89264),x89265))+P104(f331(f331(f331(f331(a203,f32(x89261,x89262)),x89263),x89264),x89265)) % 159.04/158.77 [9154]E(x91541,x91542)+~P52(x91543,x91544,x91545)+~P104(f331(f331(f333(f884(x91543,x91544)),f331(f331(f265(x91543,x91544),x91546),x91542)),x91545))+~P104(f331(f331(f333(f884(x91543,x91544)),f331(f331(f265(x91543,x91544),x91546),x91541)),x91545)) % 159.04/158.77 [9930]~P66(x99301)+~E(f331(x99303,f849(x99304,x99306,x99303,x99305,x99302,x99301)),f331(x99306,f849(x99304,x99306,x99303,x99305,x99302,x99301)))+~P104(f331(f62(x99302),x99305))+E(f331(f331(f331(f66(x99301,x99302,f81(x99301)),x99303),x99304),x99305),f331(f331(f331(f66(x99301,x99302,f81(x99301)),x99306),x99304),x99305)) % 159.04/158.77 [9991]~P66(x99911)+~P104(f331(f62(x99912),x99915))+E(f331(f331(f331(f66(x99911,x99912,f81(x99911)),x99913),x99914),x99915),f331(f331(f331(f66(x99911,x99912,f81(x99911)),x99916),x99914),x99915))+P104(f331(f331(f333(x99912),f849(x99914,x99913,x99916,x99915,x99912,x99911)),x99915)) % 159.04/158.77 [8700]~P66(x87001)+~P104(f331(f62(x87002),x87006))+P104(f331(f331(f333(x87002),x87005),x87006))+E(f331(f331(f331(f66(x87001,x87002,f81(x87001)),x87003),x87004),f331(f331(f308(x87002),x87005),x87006)),f331(f331(f81(x87001),f331(x87003,x87005)),f331(f331(f331(f66(x87001,x87002,f81(x87001)),x87003),x87004),x87006))) % 159.04/158.77 [8746]~P3(x87461,x87466,x87463)+~P9(x87461,f885(x87462,a871),x87463,x87465)+~P104(f331(f331(f333(x87461),x87464),x87466))+E(f331(f331(f42(x87461,f885(x87462,a871)),f331(f284(x87461,x87461,x87463),f331(f331(f308(x87461),x87464),f194(f885(x87461,a871))))),x87465),f331(x87465,x87464)) % 159.04/158.77 [8864]~P12(x88643,x88644,x88641)+~P104(f331(f62(x88643),x88646))+~P104(f331(f331(f333(x88643),x88642),x88646))+E(f331(f331(x88641,x88642),f331(f331(f65(x88643,x88644,x88641),x88645),f331(f331(f22(f885(x88643,a871)),x88646),f331(f331(f308(x88643),x88642),f194(f885(x88643,a871)))))),f331(f331(f65(x88643,x88644,x88641),x88645),x88646)) % 159.04/158.77 [9167]~P15(x91673,x91671,x91676,x91672)+~P104(f331(f62(x91673),x91675))+~P104(f331(f62(x91673),x91674))+E(f331(f73(x91671,x91671,x91671,f331(x91672,f331(f331(f114(f885(x91673,a871)),x91674),x91675))),f331(x91672,f331(f331(f105(f885(x91673,a871)),x91674),x91675))),f331(f73(x91671,x91671,x91671,f331(x91672,x91674)),f331(x91672,x91675))) % 159.04/158.77 [9502]~E(x95023,f331(f331(f158(x95021,x95022),x95025),x95026))+P104(f331(f331(f333(f884(f877(x95021),f877(x95021))),f331(f331(f265(f877(x95021),f877(x95021)),x95022),x95023)),f156(x95021,x95024)))+~P104(f331(f331(f245(a876),x95025),f331(f195(f877(x95021)),x95022)))+~P104(f331(f331(f333(f884(x95021,x95021)),f331(f331(f265(x95021,x95021),f331(f331(f164(x95021),x95022),x95025)),x95026)),x95024)) % 159.04/158.77 [10004]~P69(x100042)+~P104(f331(f62(x100041),x100046))+P104(f331(f331(f333(x100041),f592(x100044,x100045,x100043,x100046,x100041,x100042)),x100046))+E(f331(f331(f6(x100041,x100042),f331(f331(f18(x100041,f885(x100043,a871),x100042),f331(f331(f8(f885(x100043,x100042),f885(f885(x100043,a871),x100042),x100041),f6(x100043,x100042)),x100044)),x100045)),x100046),f331(f331(f6(f884(x100041,x100043),x100042),f331(f269(x100041,x100043,x100042),x100044)),f331(f331(f267(x100041,x100043),x100046),x100045))) % 159.04/158.77 [10005]~P68(x100052)+~P104(f331(f62(x100051),x100056))+P104(f331(f331(f333(x100051),f591(x100054,x100055,x100053,x100056,x100051,x100052)),x100056))+E(f331(f331(f9(x100051,x100052),f331(f331(f18(x100051,f885(x100053,a871),x100052),f331(f331(f8(f885(x100053,x100052),f885(f885(x100053,a871),x100052),x100051),f9(x100053,x100052)),x100054)),x100055)),x100056),f331(f331(f9(f884(x100051,x100053),x100052),f331(f269(x100051,x100053,x100052),x100054)),f331(f331(f267(x100051,x100053),x100056),x100055))) % 159.04/158.77 [10045]~P69(x100452)+~P104(f331(f62(x100451),x100456))+~P104(f331(f62(x100453),f331(x100455,f592(x100454,x100455,x100453,x100456,x100451,x100452))))+E(f331(f331(f6(x100451,x100452),f331(f331(f18(x100451,f885(x100453,a871),x100452),f331(f331(f8(f885(x100453,x100452),f885(f885(x100453,a871),x100452),x100451),f6(x100453,x100452)),x100454)),x100455)),x100456),f331(f331(f6(f884(x100451,x100453),x100452),f331(f269(x100451,x100453,x100452),x100454)),f331(f331(f267(x100451,x100453),x100456),x100455))) % 159.04/158.77 [10046]~P68(x100462)+~P104(f331(f62(x100461),x100466))+~P104(f331(f62(x100463),f331(x100465,f591(x100464,x100465,x100463,x100466,x100461,x100462))))+E(f331(f331(f9(x100461,x100462),f331(f331(f18(x100461,f885(x100463,a871),x100462),f331(f331(f8(f885(x100463,x100462),f885(f885(x100463,a871),x100462),x100461),f9(x100463,x100462)),x100464)),x100465)),x100466),f331(f331(f9(f884(x100461,x100463),x100462),f331(f269(x100461,x100463,x100462),x100464)),f331(f331(f267(x100461,x100463),x100466),x100465))) % 159.04/158.77 [10027]~P68(x100272)+~P104(f331(f62(x100271),x100276))+P104(f331(f331(f333(x100271),x100273),x100276))+E(f331(f331(f9(x100271,x100272),f331(f331(f7(x100271,x100272,x100272),f331(f331(f18(x100271,x100272,f885(x100272,x100272)),f331(f331(f8(a871,f885(x100272,f885(x100272,x100272)),x100271),f100(x100272)),f331(f331(f7(x100271,x100271,a871),a328),x100273))),x100274)),x100275)),x100276),f331(f331(f255(x100272),x100275),f331(f38(x100271),x100276))) % 159.04/158.77 [10032]~P68(x100322)+~P104(f331(f62(x100321),x100326))+~P104(f331(f331(f333(x100321),x100323),x100326))+E(f331(f331(f9(x100321,x100322),f331(f331(f7(x100321,x100322,x100322),f331(f331(f18(x100321,x100322,f885(x100322,x100322)),f331(f331(f8(a871,f885(x100322,f885(x100322,x100322)),x100321),f100(x100322)),f331(f331(f7(x100321,x100321,a871),a328),x100323))),x100324)),x100325)),x100326),f331(f331(f81(x100322),f331(x100324,x100323)),f331(f331(f255(x100322),x100325),f331(f331(f22(a876),f331(f38(x100321),x100326)),f78(a876))))) % 159.04/158.77 [10100]~P104(f331(f62(x101001),x101005))+~P104(f331(f62(x101002),x101003))+P104(f331(f331(f333(x101002),f869(x101006,x101004,x101003,x101002,x101005,x101001)),x101003))+E(f331(f331(f6(x101001,a876),f331(f331(f8(f885(x101002,a871),a876,x101001),f38(x101002)),f331(f331(f8(f885(x101002,a871),f885(x101002,a871),x101001),f250(x101002)),f331(f331(f8(f885(x101002,a871),f885(x101002,a871),x101001),f331(f18(x101002,a871,a871),f331(f331(f8(a871,f885(a871,a871),x101002),a329),f331(f331(f7(x101002,f885(x101002,a871),a871),f333(x101002)),x101003)))),x101004)))),x101005),f331(f331(f81(a876),x101006),f331(f38(x101002),x101003))) % 159.04/158.77 [10101]~P104(f331(f62(x101011),x101015))+~P104(f331(f62(x101012),x101013))+P104(f331(f331(f333(x101012),f347(x101016,x101014,x101013,x101012,x101015,x101011)),x101013))+E(f331(f331(f6(x101011,a876),f331(f331(f8(f885(x101012,a871),a876,x101011),f38(x101012)),f331(f331(f8(f885(x101012,a871),f885(x101012,a871),x101011),f250(x101012)),f331(f331(f8(f885(x101012,a871),f885(x101012,a871),x101011),f331(f18(x101012,a871,a871),f331(f331(f8(a871,f885(a871,a871),x101012),a329),f331(f331(f7(x101012,f885(x101012,a871),a871),f333(x101012)),x101013)))),x101014)))),x101015),f331(f331(f6(x101012,a876),x101016),x101013)) % 159.04/158.77 [10131]~P104(f331(f62(x101312),x101313))+~P104(f331(f62(x101311),x101315))+~E(f331(f38(x101311),f331(f250(x101311),f331(f331(f18(x101311,a871,a871),f331(f331(f8(a871,f885(a871,a871),x101311),a329),f331(f331(f7(x101311,f885(x101311,a871),a871),f333(x101311)),x101315))),f331(f331(f7(x101311,x101312,a871),x101314),f869(x101316,x101314,x101313,x101312,x101315,x101311))))),x101316)+E(f331(f331(f6(x101311,a876),f331(f331(f8(f885(x101312,a871),a876,x101311),f38(x101312)),f331(f331(f8(f885(x101312,a871),f885(x101312,a871),x101311),f250(x101312)),f331(f331(f8(f885(x101312,a871),f885(x101312,a871),x101311),f331(f18(x101312,a871,a871),f331(f331(f8(a871,f885(a871,a871),x101312),a329),f331(f331(f7(x101312,f885(x101312,a871),a871),f333(x101312)),x101313)))),x101314)))),x101315),f331(f331(f81(a876),x101316),f331(f38(x101312),x101313))) % 159.04/158.77 [10133]~P104(f331(f62(x101332),x101333))+~P104(f331(f62(x101331),x101335))+~E(f331(f38(x101331),f331(f250(x101331),f331(f331(f18(x101331,a871,a871),f331(f331(f8(a871,f885(a871,a871),x101331),a329),f331(f331(f7(x101331,f885(x101331,a871),a871),f333(x101331)),x101335))),f331(f331(f7(x101331,x101332,a871),x101334),f347(x101336,x101334,x101333,x101332,x101335,x101331))))),f331(x101336,f347(x101336,x101334,x101333,x101332,x101335,x101331)))+E(f331(f331(f6(x101331,a876),f331(f331(f8(f885(x101332,a871),a876,x101331),f38(x101332)),f331(f331(f8(f885(x101332,a871),f885(x101332,a871),x101331),f250(x101332)),f331(f331(f8(f885(x101332,a871),f885(x101332,a871),x101331),f331(f18(x101332,a871,a871),f331(f331(f8(a871,f885(a871,a871),x101332),a329),f331(f331(f7(x101332,f885(x101332,a871),a871),f333(x101332)),x101333)))),x101334)))),x101335),f331(f331(f6(x101332,a876),x101336),x101333)) % 159.04/158.77 [9785]E(x97851,x97852)+~P12(x97853,x97854,x97855)+~P104(f331(f67(x97853,x97854,x97855,x97856,x97857),x97852))+~P104(f331(f67(x97853,x97854,x97855,x97856,x97857),x97851)) % 159.04/158.77 [9578]P104(f331(x95781,x95782))+~P104(f331(f331(f333(x95787),x95782),f331(x95786,x95784)))+~P104(f331(x95781,f487(x95781,x95786,x95785,x95783,x95787)))+~P104(f331(f331(f333(x95783),x95784),x95785)) % 159.04/158.77 [10019]~P12(x100197,x100196,x100191)+E(f331(f331(x100191,x100192),f785(x100192,x100193,x100194,x100195,x100191,x100196,x100197)),x100193)+~P104(f331(f67(x100197,x100196,x100191,x100195,x100194),x100193))+~P104(f331(f331(f333(x100197),x100192),x100194)) % 159.04/158.77 [10085]~P12(x100851,x100852,x100853)+~P104(f331(f67(x100851,x100852,x100853,x100854,x100855),x100857))+P104(f331(f67(x100851,x100852,x100853,x100854,f331(f331(f22(f885(x100851,a871)),x100855),f331(f331(f308(x100851),x100856),f194(f885(x100851,a871))))),f785(x100856,x100857,x100855,x100854,x100853,x100852,x100851)))+~P104(f331(f331(f333(x100851),x100856),x100855)) % 159.04/158.77 [9478]~P66(x94781)+~P21(x94785,x94782,x94786,x94787)+~P104(f331(f62(x94785),x94787))+E(f331(f331(f331(f66(x94781,x94782,f81(x94781)),x94783),x94784),f331(f309(x94785,x94782,x94786),x94787)),f331(f331(f331(f66(x94781,x94785,f81(x94781)),f331(f73(x94782,x94781,x94785,x94783),x94786)),x94784),x94787)) % 159.04/158.77 [9602]~E(f331(f331(f308(x96021),x96025),x96026),f331(f331(f308(x96021),x96022),x96023))+~P104(f331(f67(x96021,x96021,x96024,x96022,x96023),x96027))+P104(f331(f331(f333(x96021),x96022),x96023))+P104(f331(f63(x96021,x96024,f331(f331(f308(x96021),x96025),x96026)),x96027)) % 159.04/158.77 [9685]P104(f331(x96851,x96852))+~P104(f331(f331(f333(x96853),x96852),f331(x96854,x96857)))+~P104(f331(f331(f333(x96856),x96857),x96855))+P104(f331(f331(f333(x96853),f487(x96851,x96854,x96855,x96856,x96853)),f331(f331(f42(x96856,f885(x96853,a871)),x96855),x96854))) % 159.04/158.77 [9699]~P21(x96992,x96991,x96995,x96994)+~P21(x96991,x96993,x96996,f331(f309(x96992,x96991,x96995),x96994))+E(f331(f331(f73(x96991,x96992,x96993,f77(x96992,x96991,x96994,x96995)),f77(x96991,x96993,f331(f309(x96992,x96991,x96995),x96994),x96996)),x96997),f331(f77(x96992,x96993,x96994,f331(f73(x96991,x96993,x96992,x96996),x96995)),x96997))+~P104(f331(f331(f333(x96993),x96997),f331(f309(x96991,x96993,x96996),f331(f309(x96992,x96991,x96995),x96994)))) % 159.04/158.77 [10020]~P12(x100207,x100206,x100201)+E(f331(f331(x100201,x100202),f788(x100203,x100204,x100202,x100205,x100201,x100206,x100207)),x100203)+P104(f331(f331(f333(x100207),x100202),x100204))+~P104(f331(f67(x100207,x100206,x100201,x100205,f331(f331(f308(x100207),x100202),x100204)),x100203)) % 159.04/158.77 [10084]~P12(x100841,x100844,x100845)+P104(f331(f67(x100841,x100844,x100845,x100846,x100843),f788(x100847,x100843,x100842,x100846,x100845,x100844,x100841)))+P104(f331(f331(f333(x100841),x100842),x100843))+~P104(f331(f67(x100841,x100844,x100845,x100846,f331(f331(f308(x100841),x100842),x100843)),x100847)) % 159.04/158.77 [9767]E(x97671,f2(a1))+~P104(f331(f49(x97673,x97671),f331(f331(f265(a1,a1),x97675),x97677)))+~P104(f331(f49(x97672,x97671),f331(f331(f265(a1,a1),x97674),x97676)))+P104(f331(f49(f331(f331(f80(a1),x97672),x97673),x97671),f331(f331(f265(a1,a1),f331(f331(f80(a1),f331(f331(f80(a1),x97674),x97675)),f331(f331(f39(a1),f331(f331(f80(a1),x97676),x97677)),x97671))),f45(a1,f331(f331(f80(a1),x97676),x97677),x97671)))) % 159.04/158.77 [9769]~P104(f331(f331(f245(a876),f2(a876)),x97693))+~P104(f331(f48(x97692,x97693),f331(f331(f265(a876,a876),x97695),x97697)))+~P104(f331(f48(x97691,x97693),f331(f331(f265(a876,a876),x97694),x97696)))+P104(f331(f48(f331(f331(f80(a876),x97691),x97692),x97693),f331(f331(f265(a876,a876),f331(f331(f80(a876),f331(f331(f80(a876),x97694),x97695)),f331(f331(f39(a876),f331(f331(f80(a876),x97696),x97697)),x97693))),f45(a876,f331(f331(f80(a876),x97696),x97697),x97693)))) % 159.04/158.77 [10130]~P69(x101302)+~P104(f331(f62(x101303),x101305))+~P104(f331(f62(x101301),x101307))+E(f331(f331(f6(x101301,x101302),f331(f331(f18(x101301,f885(x101303,a871),x101302),f331(f331(f8(f885(x101303,x101302),f885(f885(x101303,a871),x101302),x101301),f6(x101303,x101302)),x101304)),f331(f331(f8(f885(x101303,a871),f885(x101303,a871),x101301),f250(x101303)),f331(f331(f8(f885(x101303,a871),f885(x101303,a871),x101301),f331(f18(x101303,a871,a871),f331(f331(f8(a871,f885(a871,a871),x101303),a329),f331(f331(f7(x101303,f885(x101303,a871),a871),f333(x101303)),x101305)))),x101306)))),x101307),f331(f331(f6(x101303,x101302),f331(f331(f18(x101303,f885(x101301,a871),x101302),f331(f331(f8(f885(x101301,x101302),f885(f885(x101301,a871),x101302),x101303),f6(x101301,x101302)),f331(f7(x101301,x101303,x101302),x101304))),f331(f331(f8(f885(x101301,a871),f885(x101301,a871),x101303),f250(x101301)),f331(f331(f8(f885(x101301,a871),f885(x101301,a871),x101303),f331(f18(x101301,a871,a871),f331(f331(f8(a871,f885(a871,a871),x101301),a329),f331(f331(f7(x101301,f885(x101301,a871),a871),f333(x101301)),x101307)))),f331(f7(x101301,x101303,a871),x101306))))),x101305)) % 159.04/158.77 [9638]~P18(x96387,x96386,x96381,x96388,x96382,x96384)+E(f331(f331(x96381,f331(x96382,x96383)),f331(x96384,x96385)),f331(x96384,x96385))+~P104(f331(f62(x96386),x96385))+~P104(f331(f331(f333(x96386),x96383),x96385)) % 159.04/158.77 [9642]~P10(x96426,x96421,x96422,x96428,x96423,x96424)+~P3(x96426,x96427,x96428)+P9(x96421,x96422,x96423,f331(x96424,x96425))+~P104(f331(f331(f333(x96426),x96425),x96427)) % 159.04/158.77 [8080]~P31(x80808,x80807,f331(f331(f331(f92(x80808),x80804),x80806),x80801))+P104(f331(f331(x80801,x80802),x80803))+~P104(f331(f331(x80804,x80802),x80805))+~P104(f331(f331(f331(f331(a203,x80806),x80805),x80807),x80803)) % 159.04/158.77 [9263]~P15(x92637,x92631,x92638,x92633)+~P104(f331(f62(x92637),x92635))+~P104(f331(f62(x92637),x92634))+E(f331(f73(x92631,x92631,x92632,f331(x92633,x92634)),f331(f73(x92631,x92631,x92632,f331(x92633,x92635)),x92636)),f331(f73(x92631,x92631,x92632,f331(x92633,x92635)),f331(f73(x92631,x92631,x92632,f331(x92633,x92634)),x92636))) % 159.04/158.77 [9271]~P36(x92711,x92712,x92713,x92714,x92717)+P36(x92711,x92712,x92713,f331(f331(f158(x92711,x92714),x92715),x92716),f331(f331(f158(x92712,x92717),x92715),x92718))+~P104(f331(f331(x92713,x92716),x92718))+~P104(f331(f331(f245(a876),x92715),f331(f195(f877(x92711)),x92714))) % 159.04/158.77 [9272]~P36(x92721,x92722,x92723,x92724,x92727)+P36(x92721,x92722,x92723,f331(f331(f158(x92721,x92724),x92725),x92726),f331(f331(f158(x92722,x92727),x92725),x92728))+~P104(f331(f331(x92723,x92726),x92728))+~P104(f331(f331(f245(a876),x92725),f331(f195(f877(x92722)),x92727))) % 159.04/158.77 [9351]~P21(x93512,x93512,x93515,x93516)+~P17(x93513,x93512,x93517,x93518,x93511)+~P104(f331(f62(x93512),x93516))+E(f331(f331(x93511,f331(f73(x93512,x93513,x93512,x93514),x93515)),x93516),f331(f331(x93511,x93514),f331(f309(x93512,x93512,x93515),x93516))) % 159.04/158.77 [9640]~P19(x96407,x96402,x96405,x96408,x96406,x96401)+~P104(f331(f62(x96402),x96404))+E(f331(x96401,f331(f331(f308(x96402),x96403),x96404)),f331(f331(x96405,f331(x96406,x96403)),f331(x96401,x96404)))+P104(f331(f331(f333(x96402),x96403),x96404)) % 159.04/158.77 [9651]~P18(x96516,x96515,x96511,x96517,x96518,x96512)+E(f331(f331(x96511,f331(x96512,x96513)),f331(x96512,x96514)),f331(x96512,x96514))+~P104(f331(f62(x96515),x96514))+~P104(f331(f331(f244(f885(x96515,a871)),x96513),x96514)) % 159.04/158.77 [9249]P104(f331(f331(f333(f884(f877(x92491),f877(x92491))),f331(f331(f265(f877(x92491),f877(x92491)),x92492),x92493)),f156(x92491,x92494)))+~E(x92493,f331(f331(f126(x92491),x92495),f331(f331(f150(x92491),x92496),x92497)))+~E(x92492,f331(f331(f126(x92491),x92495),f331(f331(f150(x92491),x92498),x92497)))+~P104(f331(f331(f333(f884(x92491,x92491)),f331(f331(f265(x92491,x92491),x92498),x92496)),x92494)) % 159.04/158.77 [9645]~P18(x96456,x96452,x96455,x96457,x96458,x96451)+~P104(f331(f62(x96452),x96454))+~P104(f331(f62(x96452),x96453))+E(f331(x96451,f331(f331(f114(f885(x96452,a871)),x96453),x96454)),f331(f331(x96455,f331(x96451,x96453)),f331(x96451,x96454))) % 159.04/158.77 [10168]~P21(x101684,x101682,x101685,x101688)+E(f331(f331(f43(x101681,f885(x101682,a871)),x101683),f331(f331(f8(f885(x101684,a871),f885(x101682,a871),x101681),f309(x101684,x101682,x101685)),x101686)),f331(f309(x101684,x101682,x101685),f331(f331(f43(x101681,f885(x101684,a871)),x101683),x101686)))+~P104(f331(f331(f333(x101681),x101687),x101683))+P104(f331(f331(f333(x101681),f651(x101687,x101686,x101683,x101681,x101688,x101685,x101682,x101684)),x101683)) % 159.04/158.77 [10192]~P21(x101924,x101922,x101925,x101927)+E(f331(f331(f43(x101921,f885(x101922,a871)),x101923),f331(f331(f8(f885(x101924,a871),f885(x101922,a871),x101921),f309(x101924,x101922,x101925)),x101926)),f331(f309(x101924,x101922,x101925),f331(f331(f43(x101921,f885(x101924,a871)),x101923),x101926)))+~P104(f331(f331(f333(x101921),x101928),x101923))+~P104(f331(f331(f244(f885(x101924,a871)),f331(x101926,f651(x101928,x101926,x101923,x101921,x101927,x101925,x101922,x101924))),x101927)) % 159.04/158.77 [9708]~P19(x97087,x97085,x97081,x97088,x97082,x97084)+~P104(f331(f62(x97085),x97086))+~P104(f331(f331(f333(x97085),x97083),x97086))+E(f331(f331(x97081,f331(x97082,x97083)),f331(x97084,f331(f331(f22(f885(x97085,a871)),x97086),f331(f331(f308(x97085),x97083),f194(f885(x97085,a871)))))),f331(x97084,x97086)) % 159.04/158.77 [9716]~P19(x97166,x97163,x97161,x97167,x97168,x97162)+~P104(f331(f62(x97163),x97165))+~P104(f331(f62(x97163),x97164))+E(f331(f331(x97161,f331(x97162,f331(f331(f114(f885(x97163,a871)),x97164),x97165))),f331(x97162,f331(f331(f105(f885(x97163,a871)),x97164),x97165))),f331(f331(x97161,f331(x97162,x97164)),f331(x97162,x97165))) % 159.04/158.77 [9808]P43(x98081,x98082,x98083,x98084,x98085,f331(f331(x98083,x98086),x98087))+~P43(x98081,x98082,x98083,x98084,f331(f331(f22(f885(x98081,a871)),x98085),f331(f331(f308(x98081),x98088),f194(f885(x98081,a871)))),x98089)+~E(f331(f331(x98083,x98086),x98087),f331(f331(x98083,x98088),x98089))+~P104(f331(f331(f333(x98081),x98088),x98085)) % 159.04/158.77 [10207]P20(x102071,x102072,f331(f331(f308(f875(x102071)),f331(f331(f331(f92(x102071),f331(x102073,f614(x102074,x102075,x102076,x102077,x102073,x102072,x102071,x102078,x102079))),f331(x102077,f614(x102074,x102075,x102076,x102077,x102073,x102072,x102071,x102078,x102079))),f331(x102076,f614(x102074,x102075,x102076,x102077,x102073,x102072,x102071,x102078,x102079)))),f194(f885(f875(x102071),a871))))+~P104(f331(f62(x102079),x102078))+~P20(x102071,x102072,f331(f309(x102079,f875(x102071),f331(f331(f18(x102079,f885(x102071,f885(a872,a871)),f875(x102071)),f331(f331(f18(x102079,a873,f885(f885(x102071,f885(a872,a871)),f875(x102071))),f331(f331(f8(f885(x102071,f885(a872,a871)),f885(a873,f885(f885(x102071,f885(a872,a871)),f875(x102071))),x102079),f92(x102071)),x102073)),x102077)),x102076)),x102078))+P20(x102071,x102072,f331(f309(x102079,f875(x102071),f331(f331(f18(x102079,f885(x102071,f885(a872,a871)),f875(x102071)),f331(f331(f18(x102079,a873,f885(f885(x102071,f885(a872,a871)),f875(x102071))),f331(f331(f8(f885(x102071,f885(a872,a871)),f885(a873,f885(f885(x102071,f885(a872,a871)),f875(x102071))),x102079),f92(x102071)),x102075)),x102077)),x102074)),x102078)) % 159.04/158.77 [10208]~P20(x102081,x102082,f331(f331(f308(f875(x102081)),f331(f331(f331(f92(x102081),f331(x102084,f614(x102086,x102084,x102088,x102085,x102089,x102082,x102081,x102087,x102083))),f331(x102085,f614(x102086,x102084,x102088,x102085,x102089,x102082,x102081,x102087,x102083))),f331(x102086,f614(x102086,x102084,x102088,x102085,x102089,x102082,x102081,x102087,x102083)))),f194(f885(f875(x102081),a871))))+~P104(f331(f62(x102083),x102087))+~P20(x102081,x102082,f331(f309(x102083,f875(x102081),f331(f331(f18(x102083,f885(x102081,f885(a872,a871)),f875(x102081)),f331(f331(f18(x102083,a873,f885(f885(x102081,f885(a872,a871)),f875(x102081))),f331(f331(f8(f885(x102081,f885(a872,a871)),f885(a873,f885(f885(x102081,f885(a872,a871)),f875(x102081))),x102083),f92(x102081)),x102089)),x102085)),x102088)),x102087))+P20(x102081,x102082,f331(f309(x102083,f875(x102081),f331(f331(f18(x102083,f885(x102081,f885(a872,a871)),f875(x102081)),f331(f331(f18(x102083,a873,f885(f885(x102081,f885(a872,a871)),f875(x102081))),f331(f331(f8(f885(x102081,f885(a872,a871)),f885(a873,f885(f885(x102081,f885(a872,a871)),f875(x102081))),x102083),f92(x102081)),x102084)),x102085)),x102086)),x102087)) % 159.04/158.77 [9742]~P10(x97426,x97427,x97428,x97429,x974210,x97421)+E(f331(f331(x97421,x97422),x97423),f331(f331(x97421,x97424),x97425))+~P104(f331(f331(f333(f884(x97427,x97427)),f331(f331(f265(x97427,x97427),x97423),x97425)),x974210))+~P104(f331(f331(f333(f884(x97426,x97426)),f331(f331(f265(x97426,x97426),x97422),x97424)),x97429)) % 159.04/158.77 [9353]~P75(x93532)+E(x93531,f194(f885(x93532,a871)))+~P104(f331(f62(x93532),x93531))+P104(f331(f331(f333(x93532),f11(x93532,x93531)),x93531))+~P104(f331(f331(f333(x93532),f331(f331(f105(x93532),f833(x93531,x93532)),f834(x93531,x93532))),f331(f331(f308(x93532),f833(x93531,x93532)),f331(f331(f308(x93532),f834(x93531,x93532)),f194(f885(x93532,a871)))))) % 159.04/158.77 [9354]~P75(x93542)+E(x93541,f194(f885(x93542,a871)))+~P104(f331(f62(x93542),x93541))+P104(f331(f331(f333(x93542),f10(x93542,x93541)),x93541))+~P104(f331(f331(f333(x93542),f331(f331(f114(x93542),f835(x93541,x93542)),f836(x93541,x93542))),f331(f331(f308(x93542),f835(x93541,x93542)),f331(f331(f308(x93542),f836(x93541,x93542)),f194(f885(x93542,a871)))))) % 159.04/158.77 [9386]~P66(x93862)+E(x93861,f194(f885(x93862,a871)))+~P104(f331(f62(x93862),x93861))+P104(f331(f331(f333(x93862),f331(f64(x93862,f81(x93862)),x93861)),x93861))+~P104(f331(f331(f333(x93862),f331(f331(f81(x93862),f841(x93861,x93862)),f843(x93861,x93862))),f331(f331(f308(x93862),f841(x93861,x93862)),f331(f331(f308(x93862),f843(x93861,x93862)),f194(f885(x93862,a871)))))) % 159.04/158.77 [9392]~P107(x93922)+E(x93921,f194(f885(x93922,a871)))+~P104(f331(f62(x93922),x93921))+P104(f331(f331(f333(x93922),f12(x93922,f242(x93922),x93921)),x93921))+~P104(f331(f331(f333(x93922),f331(f331(f242(x93922),f454(x93921,x93922)),f455(x93921,x93922))),f331(f331(f308(x93922),f454(x93921,x93922)),f331(f331(f308(x93922),f455(x93921,x93922)),f194(f885(x93922,a871)))))) % 159.04/158.77 [9393]~P107(x93932)+E(x93931,f194(f885(x93932,a871)))+~P104(f331(f62(x93932),x93931))+P104(f331(f331(f333(x93932),f13(x93932,f243(x93932),x93931)),x93931))+~P104(f331(f331(f333(x93932),f331(f331(f243(x93932),f457(x93931,x93932)),f458(x93931,x93932))),f331(f331(f308(x93932),f457(x93931,x93932)),f331(f331(f308(x93932),f458(x93931,x93932)),f194(f885(x93932,a871)))))) % 159.04/158.77 [6514]~P87(x65142)+E(x65141,f2(x65142))+~E(f331(f331(f80(x65142),x65143),x65141),f2(x65142))+~P104(f331(f331(f244(x65142),f2(x65142)),x65143))+~P104(f331(f331(f244(x65142),f2(x65142)),x65141)) % 159.04/158.77 [6515]~P87(x65152)+E(x65151,f2(x65152))+~E(f331(f331(f80(x65152),x65151),x65153),f2(x65152))+~P104(f331(f331(f244(x65152),f2(x65152)),x65153))+~P104(f331(f331(f244(x65152),f2(x65152)),x65151)) % 159.04/158.77 [7048]~P107(x70482)+~P30(x70482,x70481)+E(x70481,f117(x70482))+~P104(f331(f331(f333(x70482),x70483),f331(f172(x70482),f624(x70481,x70482))))+P104(f331(f331(f244(x70482),f664(x70481,x70482)),x70483)) % 159.04/158.77 [7214]~P107(x72141)+E(f14(x72141,x72142),x72143)+~P104(f331(f62(x72141),x72142))+~P104(f331(f331(f244(x72141),x72143),f506(x72143,x72142,x72141)))+~P104(f331(f331(f333(x72141),x72143),x72142)) % 159.04/158.77 [7245]~P107(x72451)+~P30(x72451,x72452)+~P30(x72451,x72453)+P30(x72451,f331(f331(f126(x72451),x72452),x72453))+P104(f331(f331(f333(x72451),f631(x72453,x72452,x72451)),f331(f172(x72451),x72452))) % 159.04/158.77 [7246]~P107(x72461)+~P30(x72461,x72462)+~P30(x72461,x72463)+P30(x72461,f331(f331(f126(x72461),x72462),x72463))+P104(f331(f331(f333(x72461),f632(x72463,x72462,x72461)),f331(f172(x72461),x72463))) % 159.04/158.77 [7302]~P107(x73021)+E(f14(x73021,x73022),x73023)+~P104(f331(f62(x73021),x73022))+P104(f331(f331(f333(x73021),f506(x73023,x73022,x73021)),x73022))+~P104(f331(f331(f333(x73021),x73023),x73022)) % 159.04/158.77 [7303]~P107(x73031)+E(f15(x73031,x73032),x73033)+~P104(f331(f62(x73031),x73032))+P104(f331(f331(f333(x73031),f508(x73033,x73032,x73031)),x73032))+~P104(f331(f331(f333(x73031),x73033),x73032)) % 159.04/158.77 [7882]~P107(x78821)+E(f15(x78821,x78822),x78823)+~P104(f331(f62(x78821),x78822))+~P104(f331(f331(f333(x78821),x78823),x78822))+~P104(f331(f331(f244(x78821),f508(x78823,x78822,x78821)),x78823)) % 159.04/158.77 [8211]~P107(x82111)+~P30(x82111,x82112)+~P30(x82111,x82113)+P30(x82111,f331(f331(f126(x82111),x82112),x82113))+~P104(f331(f331(f244(x82111),f631(x82113,x82112,x82111)),f632(x82113,x82112,x82111))) % 159.04/158.77 [8992]~P75(x89922)+E(x89921,f194(f885(x89922,a871)))+~E(f331(f331(f105(x89922),f331(x89923,f832(x89921,x89923,x89922))),f331(x89923,f837(x89921,x89923,x89922))),f331(x89923,f331(f331(f105(x89922),f832(x89921,x89923,x89922)),f837(x89921,x89923,x89922))))+E(f11(x89922,f331(f309(x89922,x89922,x89923),x89921)),f331(x89923,f11(x89922,x89921)))+~P104(f331(f62(x89922),x89921)) % 159.04/158.77 [8993]~P75(x89932)+E(x89931,f194(f885(x89932,a871)))+~E(f331(f331(f114(x89932),f331(x89933,f838(x89931,x89933,x89932))),f331(x89933,f839(x89931,x89933,x89932))),f331(x89933,f331(f331(f114(x89932),f838(x89931,x89933,x89932)),f839(x89931,x89933,x89932))))+E(f10(x89932,f331(f309(x89932,x89932,x89933),x89931)),f331(x89933,f10(x89932,x89931)))+~P104(f331(f62(x89932),x89931)) % 159.04/158.77 [8994]~P107(x89942)+E(x89941,f194(f885(x89942,a871)))+~E(f331(f331(f242(x89942),f331(x89943,f466(x89941,x89943,x89942))),f331(x89943,f469(x89941,x89943,x89942))),f331(x89943,f331(f331(f242(x89942),f466(x89941,x89943,x89942)),f469(x89941,x89943,x89942))))+E(f14(x89942,f331(f309(x89942,x89942,x89943),x89941)),f331(x89943,f14(x89942,x89941)))+~P104(f331(f62(x89942),x89941)) % 159.04/158.77 [8995]~P107(x89952)+E(x89951,f194(f885(x89952,a871)))+~E(f331(f331(f243(x89952),f331(x89953,f467(x89951,x89953,x89952))),f331(x89953,f468(x89951,x89953,x89952))),f331(x89953,f331(f331(f243(x89952),f467(x89951,x89953,x89952)),f468(x89951,x89953,x89952))))+E(f15(x89952,f331(f309(x89952,x89952,x89953),x89951)),f331(x89953,f15(x89952,x89951)))+~P104(f331(f62(x89952),x89951)) % 159.04/158.77 [9065]~P107(x90652)+E(x90651,f194(f885(x90652,a871)))+~E(f331(f331(f242(x90652),f331(x90653,f451(x90651,x90653,x90652))),f331(x90653,f460(x90651,x90653,x90652))),f331(x90653,f331(f331(f242(x90652),f451(x90651,x90653,x90652)),f460(x90651,x90653,x90652))))+E(f12(x90652,f242(x90652),f331(f309(x90652,x90652,x90653),x90651)),f331(x90653,f12(x90652,f242(x90652),x90651)))+~P104(f331(f62(x90652),x90651)) % 159.04/158.77 [9066]~P107(x90662)+E(x90661,f194(f885(x90662,a871)))+~E(f331(f331(f243(x90662),f331(x90663,f452(x90661,x90663,x90662))),f331(x90663,f459(x90661,x90663,x90662))),f331(x90663,f331(f331(f243(x90662),f452(x90661,x90663,x90662)),f459(x90661,x90663,x90662))))+E(f13(x90662,f243(x90662),f331(f309(x90662,x90662,x90663),x90661)),f331(x90663,f13(x90662,f243(x90662),x90661)))+~P104(f331(f62(x90662),x90661)) % 159.04/158.77 [6530]~P66(x65302)+E(x65301,f194(f885(x65302,a871)))+~P104(f331(f62(x65302),x65301))+E(f331(f64(x65302,f81(x65302)),f331(f331(f308(x65302),x65303),x65301)),f331(f331(f81(x65302),x65303),f331(f64(x65302,f81(x65302)),x65301)))+P104(f331(f331(f333(x65302),x65303),x65301)) % 159.04/158.77 [7054]~P75(x70542)+E(f331(f331(f114(x70542),f10(x70542,x70541)),f10(x70542,x70543)),f10(x70542,x70543))+E(x70541,f194(f885(x70542,a871)))+~P104(f331(f62(x70542),x70543))+~P104(f331(f331(f244(f885(x70542,a871)),x70541),x70543)) % 159.04/158.77 [7055]~P75(x70552)+E(f331(f331(f105(x70552),f11(x70552,x70551)),f11(x70552,x70553)),f11(x70552,x70553))+E(x70551,f194(f885(x70552,a871)))+~P104(f331(f62(x70552),x70553))+~P104(f331(f331(f244(f885(x70552,a871)),x70551),x70553)) % 159.04/158.77 [7056]~P107(x70562)+E(f331(f331(f242(x70562),f14(x70562,x70561)),f14(x70562,x70563)),f14(x70562,x70563))+E(x70561,f194(f885(x70562,a871)))+~P104(f331(f62(x70562),x70563))+~P104(f331(f331(f244(f885(x70562,a871)),x70561),x70563)) % 159.04/158.77 [7057]~P107(x70572)+E(f331(f331(f243(x70572),f15(x70572,x70571)),f15(x70572,x70573)),f15(x70572,x70573))+E(x70571,f194(f885(x70572,a871)))+~P104(f331(f62(x70572),x70573))+~P104(f331(f331(f244(f885(x70572,a871)),x70571),x70573)) % 159.04/158.77 [7354]~P107(x73542)+E(x73541,f194(f885(x73542,a871)))+~P104(f331(f62(x73542),x73543))+P104(f331(f331(f244(x73542),f14(x73542,x73543)),f14(x73542,x73541)))+~P104(f331(f331(f244(f885(x73542,a871)),x73541),x73543)) % 159.04/158.77 [7355]~P107(x73552)+E(x73551,f194(f885(x73552,a871)))+~P104(f331(f62(x73552),x73553))+P104(f331(f331(f244(x73552),f15(x73552,x73551)),f15(x73552,x73553)))+~P104(f331(f331(f244(f885(x73552,a871)),x73551),x73553)) % 159.04/158.77 [7413]~P75(x74131)+E(f11(x74131,x74132),x74133)+~P104(f331(f62(x74131),x74132))+~E(f331(f331(f22(f885(x74131,a871)),x74132),f331(f331(f308(x74131),x74133),f194(f885(x74131,a871)))),f194(f885(x74131,a871)))+~P104(f331(f331(f333(x74131),x74133),x74132)) % 159.04/158.77 [7414]~P75(x74141)+E(f10(x74141,x74142),x74143)+~P104(f331(f62(x74141),x74142))+~E(f331(f331(f22(f885(x74141,a871)),x74142),f331(f331(f308(x74141),x74143),f194(f885(x74141,a871)))),f194(f885(x74141,a871)))+~P104(f331(f331(f333(x74141),x74143),x74142)) % 159.04/158.77 [7415]~P107(x74151)+E(f14(x74151,x74152),x74153)+~P104(f331(f62(x74151),x74152))+~E(f331(f331(f22(f885(x74151,a871)),x74152),f331(f331(f308(x74151),x74153),f194(f885(x74151,a871)))),f194(f885(x74151,a871)))+~P104(f331(f331(f333(x74151),x74153),x74152)) % 159.04/158.77 [7416]~P107(x74161)+E(f15(x74161,x74162),x74163)+~P104(f331(f62(x74161),x74162))+~E(f331(f331(f22(f885(x74161,a871)),x74162),f331(f331(f308(x74161),x74163),f194(f885(x74161,a871)))),f194(f885(x74161,a871)))+~P104(f331(f331(f333(x74161),x74163),x74162)) % 159.04/158.77 [7515]~P107(x75151)+E(f12(x75151,f242(x75151),x75152),x75153)+~P104(f331(f62(x75151),x75152))+~E(f331(f331(f22(f885(x75151,a871)),x75152),f331(f331(f308(x75151),x75153),f194(f885(x75151,a871)))),f194(f885(x75151,a871)))+~P104(f331(f331(f333(x75151),x75153),x75152)) % 159.04/158.77 [7516]~P107(x75161)+E(f13(x75161,f243(x75161),x75162),x75163)+~P104(f331(f62(x75161),x75162))+~E(f331(f331(f22(f885(x75161,a871)),x75162),f331(f331(f308(x75161),x75163),f194(f885(x75161,a871)))),f194(f885(x75161,a871)))+~P104(f331(f331(f333(x75161),x75163),x75162)) % 159.04/158.77 [7552]~P100(x75522)+E(x75521,f194(f885(x75522,a871)))+~P104(f331(f62(x75522),x75521))+~P104(f331(f331(f244(x75522),x75523),f822(x75523,x75521,x75522)))+P104(f331(f331(f244(x75522),x75523),f331(f64(x75522,f105(x75522)),x75521))) % 159.04/158.77 [7553]~P107(x75532)+E(x75531,f194(f885(x75532,a871)))+~P104(f331(f62(x75532),x75531))+~P104(f331(f331(f244(x75532),x75533),f441(x75533,x75531,x75532)))+P104(f331(f331(f244(x75532),x75533),f331(f64(x75532,f242(x75532)),x75531))) % 159.04/158.77 [7554]~P107(x75542)+E(x75541,f194(f885(x75542,a871)))+~P104(f331(f62(x75542),x75541))+~P104(f331(f331(f245(x75542),x75543),f442(x75543,x75541,x75542)))+P104(f331(f331(f245(x75542),x75543),f331(f64(x75542,f242(x75542)),x75541))) % 159.04/158.77 [7639]~P100(x76392)+E(x76391,f194(f885(x76392,a871)))+~P104(f331(f62(x76392),x76391))+P104(f331(f331(f333(x76392),f822(x76393,x76391,x76392)),x76391))+P104(f331(f331(f244(x76392),x76393),f331(f64(x76392,f105(x76392)),x76391))) % 159.04/158.77 [7640]~P107(x76402)+E(x76401,f194(f885(x76402,a871)))+~P104(f331(f62(x76402),x76401))+P104(f331(f331(f333(x76402),f441(x76403,x76401,x76402)),x76401))+P104(f331(f331(f244(x76402),x76403),f331(f64(x76402,f242(x76402)),x76401))) % 159.04/158.77 [7641]~P107(x76412)+E(x76411,f194(f885(x76412,a871)))+~P104(f331(f62(x76412),x76411))+P104(f331(f331(f333(x76412),f442(x76413,x76411,x76412)),x76411))+P104(f331(f331(f245(x76412),x76413),f331(f64(x76412,f242(x76412)),x76411))) % 159.04/158.77 [7762]~P107(x77622)+E(x77621,f194(f885(x77622,a871)))+E(f331(f331(f242(x77622),f12(x77622,f242(x77622),x77621)),f12(x77622,f242(x77622),x77623)),f12(x77622,f242(x77622),x77623))+~P104(f331(f62(x77622),x77623))+~P104(f331(f331(f244(f885(x77622,a871)),x77621),x77623)) % 159.04/158.77 [7763]~P107(x77632)+E(x77631,f194(f885(x77632,a871)))+E(f331(f331(f243(x77632),f13(x77632,f243(x77632),x77631)),f13(x77632,f243(x77632),x77633)),f13(x77632,f243(x77632),x77633))+~P104(f331(f62(x77632),x77633))+~P104(f331(f331(f244(f885(x77632,a871)),x77631),x77633)) % 159.04/158.77 [7961]~E(f668(x79611,x79613,x79612),f669(x79611,x79613,x79612))+~E(f331(f38(x79612),f670(x79611,x79613,x79612)),x79611)+E(f331(f331(f81(a876),x79611),f331(f38(f885(x79612,a871)),x79613)),f331(f38(x79612),f40(f885(x79612,a871),x79613)))+~P104(f331(f62(x79612),f40(f885(x79612,a871),x79613)))+~P104(f331(f62(f885(x79612,a871)),x79613)) % 159.04/158.77 [8144]~P107(x81442)+E(x81441,f194(f885(x81442,a871)))+~P104(f331(f62(x81442),x81443))+P104(f331(f331(f244(x81442),f331(f64(x81442,f242(x81442)),x81443)),f331(f64(x81442,f242(x81442)),x81441)))+~P104(f331(f331(f244(f885(x81442,a871)),x81441),x81443)) % 159.04/158.77 [8453]~E(f668(x84531,x84533,x84532),f669(x84531,x84533,x84532))+E(f331(f331(f81(a876),x84531),f331(f38(f885(x84532,a871)),x84533)),f331(f38(x84532),f40(f885(x84532,a871),x84533)))+P104(f331(f331(f333(f885(x84532,a871)),f670(x84531,x84533,x84532)),x84533))+~P104(f331(f62(x84532),f40(f885(x84532,a871),x84533)))+~P104(f331(f62(f885(x84532,a871)),x84533)) % 159.04/158.77 [8480]~E(f331(f38(x84802),f670(x84801,x84803,x84802)),x84801)+E(f331(f331(f81(a876),x84801),f331(f38(f885(x84802,a871)),x84803)),f331(f38(x84802),f40(f885(x84802,a871),x84803)))+P104(f331(f331(f333(f885(x84802,a871)),f669(x84801,x84803,x84802)),x84803))+~P104(f331(f62(x84802),f40(f885(x84802,a871),x84803)))+~P104(f331(f62(f885(x84802,a871)),x84803)) % 159.04/158.77 [8481]~E(f331(f38(x84812),f670(x84811,x84813,x84812)),x84811)+E(f331(f331(f81(a876),x84811),f331(f38(f885(x84812,a871)),x84813)),f331(f38(x84812),f40(f885(x84812,a871),x84813)))+P104(f331(f331(f333(f885(x84812,a871)),f668(x84811,x84813,x84812)),x84813))+~P104(f331(f62(x84812),f40(f885(x84812,a871),x84813)))+~P104(f331(f62(f885(x84812,a871)),x84813)) % 159.04/158.77 [8509]~E(f331(f38(x85092),f670(x85091,x85093,x85092)),x85091)+~E(f331(f331(f105(f885(x85092,a871)),f669(x85091,x85093,x85092)),f668(x85091,x85093,x85092)),f194(f885(x85092,a871)))+E(f331(f331(f81(a876),x85091),f331(f38(f885(x85092,a871)),x85093)),f331(f38(x85092),f40(f885(x85092,a871),x85093)))+~P104(f331(f62(f885(x85092,a871)),x85093))+~P104(f331(f62(x85092),f40(f885(x85092,a871),x85093))) % 159.04/158.77 [8751]E(f331(f331(f81(a876),x87511),f331(f38(f885(x87512,a871)),x87513)),f331(f38(x87512),f40(f885(x87512,a871),x87513)))+P104(f331(f331(f333(f885(x87512,a871)),f670(x87511,x87513,x87512)),x87513))+P104(f331(f331(f333(f885(x87512,a871)),f669(x87511,x87513,x87512)),x87513))+~P104(f331(f62(f885(x87512,a871)),x87513))+~P104(f331(f62(x87512),f40(f885(x87512,a871),x87513))) % 159.04/158.77 [8752]E(f331(f331(f81(a876),x87521),f331(f38(f885(x87522,a871)),x87523)),f331(f38(x87522),f40(f885(x87522,a871),x87523)))+P104(f331(f331(f333(f885(x87522,a871)),f670(x87521,x87523,x87522)),x87523))+P104(f331(f331(f333(f885(x87522,a871)),f668(x87521,x87523,x87522)),x87523))+~P104(f331(f62(f885(x87522,a871)),x87523))+~P104(f331(f62(x87522),f40(f885(x87522,a871),x87523))) % 159.04/158.77 [8777]~E(f331(f331(f105(f885(x87772,a871)),f669(x87771,x87773,x87772)),f668(x87771,x87773,x87772)),f194(f885(x87772,a871)))+E(f331(f331(f81(a876),x87771),f331(f38(f885(x87772,a871)),x87773)),f331(f38(x87772),f40(f885(x87772,a871),x87773)))+~P104(f331(f62(f885(x87772,a871)),x87773))+P104(f331(f331(f333(f885(x87772,a871)),f670(x87771,x87773,x87772)),x87773))+~P104(f331(f62(x87772),f40(f885(x87772,a871),x87773))) % 159.04/158.77 [9039]~P95(x90392)+E(x90391,f194(f885(x90392,a871)))+~E(f331(f331(f81(x90392),f331(x90393,f840(x90391,x90393,x90392))),f331(x90393,f844(x90391,x90393,x90392))),f331(x90393,f331(f331(f81(x90392),f840(x90391,x90393,x90392)),f844(x90391,x90393,x90392))))+~P104(f331(f62(x90392),x90391))+E(f331(f64(x90392,f81(x90392)),f331(f309(x90392,x90392,x90393),x90391)),f331(x90393,f331(f64(x90392,f81(x90392)),x90391))) % 159.04/158.77 [9965]P104(f331(f331(x99651,x99652),x99653))+P104(f331(f331(f245(a1),f523(x99651,x99653,x99652)),f524(x99651,x99653,x99652)))+P104(f331(f331(f244(a1),f524(x99651,x99653,x99652)),f2(a1)))+P104(f331(f331(x99651,f523(x99651,x99653,x99652)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f524(x99651,x99653,x99652))))+~P104(f331(f319(f884(a1,a1),a57),f331(f331(f265(a1,a1),x99652),x99653))) % 159.04/158.77 [9971]P104(f331(f331(x99711,x99712),x99713))+P104(f331(f331(f244(a1),f522(x99711,x99713,x99712)),f2(a1)))+P104(f331(f331(x99711,f521(x99711,x99713,x99712)),f331(f331(f81(a1),f331(f107(a1),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f522(x99711,x99713,x99712))))+P104(f331(f331(f244(a1),f2(a1)),f331(f331(f80(a1),f521(x99711,x99713,x99712)),f522(x99711,x99713,x99712))))+~P104(f331(f319(f884(a1,a1),a52),f331(f331(f265(a1,a1),x99712),x99713))) % 159.04/158.77 [7932]~P119(x79321)+~P104(f331(f331(f244(x79321),x79322),f78(x79321)))+~P104(f331(f331(f244(x79321),f2(x79321)),x79322))+~P104(f331(f331(f244(x79321),f2(x79321)),x79323))+P104(f331(f331(f244(x79321),f331(f331(f81(x79321),x79322),x79323)),x79323)) % 159.04/158.77 [7933]~P119(x79331)+~P104(f331(f331(f244(x79331),x79333),f78(x79331)))+~P104(f331(f331(f244(x79331),f2(x79331)),x79333))+~P104(f331(f331(f244(x79331),f2(x79331)),x79332))+P104(f331(f331(f244(x79331),f331(f331(f81(x79331),x79332),x79333)),x79332)) % 159.04/158.77 [8295]~P107(x82952)+E(x82951,f194(f885(x82952,a871)))+~P104(f331(f62(x82952),x82951))+P104(f331(f331(f333(x82952),f443(x82953,x82951,x82952)),x82951))+~P104(f331(f331(f244(x82952),f331(f64(x82952,f242(x82952)),x82951)),x82953)) % 159.04/158.77 [8296]~P107(x82962)+E(x82961,f194(f885(x82962,a871)))+~P104(f331(f62(x82962),x82961))+P104(f331(f331(f333(x82962),f444(x82963,x82961,x82962)),x82961))+~P104(f331(f331(f245(x82962),f331(f64(x82962,f242(x82962)),x82961)),x82963)) % 159.04/158.77 [8297]~P107(x82972)+E(x82971,f194(f885(x82972,a871)))+~P104(f331(f62(x82972),x82971))+P104(f331(f331(f244(x82972),f443(x82973,x82971,x82972)),x82973))+~P104(f331(f331(f244(x82972),f331(f64(x82972,f242(x82972)),x82971)),x82973)) % 159.04/158.77 [8298]~P107(x82982)+E(x82981,f194(f885(x82982,a871)))+~P104(f331(f62(x82982),x82981))+P104(f331(f331(f245(x82982),f444(x82983,x82981,x82982)),x82983))+~P104(f331(f331(f245(x82982),f331(f64(x82982,f242(x82982)),x82981)),x82983)) % 159.04/158.77 [8382]~P104(f331(x83821,x83823))+P104(f331(x83821,f416(x83821,x83822)))+P104(f331(x83821,f406(x83821,x83822)))+~P104(f331(f331(f245(a1),f2(a1)),x83822))+P104(f331(x83821,f331(f331(f22(a1),f406(x83821,x83822)),f331(f331(f81(a1),f413(x83821,x83822)),x83822)))) % 159.04/158.77 [8604]~P104(f331(x86041,x86043))+P104(f331(x86041,f406(x86041,x86042)))+~P104(f331(f331(f245(a1),f2(a1)),x86042))+P104(f331(f331(f333(a1),f416(x86041,x86042)),f301(a1,f78(a1),x86042)))+P104(f331(x86041,f331(f331(f22(a1),f406(x86041,x86042)),f331(f331(f81(a1),f413(x86041,x86042)),x86042)))) % 159.04/158.77 [8799]~P104(f331(x87991,x87993))+~P104(f331(x87991,f406(x87991,x87992)))+P104(f331(x87991,f416(x87991,x87992)))+~P104(f331(f331(f245(a1),f2(a1)),x87992))+~P104(f331(x87991,f331(f331(f22(a1),f406(x87991,x87992)),f331(f331(f81(a1),f413(x87991,x87992)),x87992)))) % 159.04/158.77 [8924]~P104(f331(x89241,x89243))+~P104(f331(x89241,f406(x89241,x89242)))+~P104(f331(f331(f245(a1),f2(a1)),x89242))+P104(f331(f331(f333(a1),f416(x89241,x89242)),f301(a1,f78(a1),x89242)))+~P104(f331(x89241,f331(f331(f22(a1),f406(x89241,x89242)),f331(f331(f81(a1),f413(x89241,x89242)),x89242)))) % 159.04/158.77 [8711]~P75(x87111)+~P104(f331(f62(x87111),x87112))+E(f331(f331(f22(f885(x87111,a871)),x87112),f331(f331(f308(x87111),x87113),f194(f885(x87111,a871)))),f194(f885(x87111,a871)))+~P104(f331(f331(f333(x87111),x87113),x87112))+E(f331(f331(f105(x87111),x87113),f11(x87111,f331(f331(f22(f885(x87111,a871)),x87112),f331(f331(f308(x87111),x87113),f194(f885(x87111,a871)))))),f11(x87111,x87112)) % 159.04/158.77 [8712]~P75(x87121)+~P104(f331(f62(x87121),x87122))+E(f331(f331(f22(f885(x87121,a871)),x87122),f331(f331(f308(x87121),x87123),f194(f885(x87121,a871)))),f194(f885(x87121,a871)))+~P104(f331(f331(f333(x87121),x87123),x87122))+E(f331(f331(f114(x87121),x87123),f10(x87121,f331(f331(f22(f885(x87121,a871)),x87122),f331(f331(f308(x87121),x87123),f194(f885(x87121,a871)))))),f10(x87121,x87122)) % 159.04/158.77 [8713]~P107(x87131)+~P104(f331(f62(x87131),x87132))+E(f331(f331(f22(f885(x87131,a871)),x87132),f331(f331(f308(x87131),x87133),f194(f885(x87131,a871)))),f194(f885(x87131,a871)))+~P104(f331(f331(f333(x87131),x87133),x87132))+E(f331(f331(f242(x87131),x87133),f14(x87131,f331(f331(f22(f885(x87131,a871)),x87132),f331(f331(f308(x87131),x87133),f194(f885(x87131,a871)))))),f14(x87131,x87132)) % 159.04/158.77 [8714]~P107(x87141)+~P104(f331(f62(x87141),x87142))+E(f331(f331(f22(f885(x87141,a871)),x87142),f331(f331(f308(x87141),x87143),f194(f885(x87141,a871)))),f194(f885(x87141,a871)))+~P104(f331(f331(f333(x87141),x87143),x87142))+E(f331(f331(f243(x87141),x87143),f15(x87141,f331(f331(f22(f885(x87141,a871)),x87142),f331(f331(f308(x87141),x87143),f194(f885(x87141,a871)))))),f15(x87141,x87142)) % 159.04/158.77 [8771]~P107(x87711)+~P104(f331(f62(x87711),x87712))+E(f331(f331(f22(f885(x87711,a871)),x87712),f331(f331(f308(x87711),x87713),f194(f885(x87711,a871)))),f194(f885(x87711,a871)))+~P104(f331(f331(f333(x87711),x87713),x87712))+E(f331(f331(f242(x87711),x87713),f12(x87711,f242(x87711),f331(f331(f22(f885(x87711,a871)),x87712),f331(f331(f308(x87711),x87713),f194(f885(x87711,a871)))))),f12(x87711,f242(x87711),x87712)) % 159.04/158.77 [8772]~P107(x87721)+~P104(f331(f62(x87721),x87722))+E(f331(f331(f22(f885(x87721,a871)),x87722),f331(f331(f308(x87721),x87723),f194(f885(x87721,a871)))),f194(f885(x87721,a871)))+~P104(f331(f331(f333(x87721),x87723),x87722))+E(f331(f331(f243(x87721),x87723),f13(x87721,f243(x87721),f331(f331(f22(f885(x87721,a871)),x87722),f331(f331(f308(x87721),x87723),f194(f885(x87721,a871)))))),f13(x87721,f243(x87721),x87722)) % 159.04/158.77 [8786]~P75(x87861)+~P104(f331(f62(x87861),x87863))+~P104(f331(f62(x87861),x87862))+E(f331(f331(f105(f885(x87861,a871)),x87862),x87863),f194(f885(x87861,a871)))+E(f331(f331(f114(x87861),f10(x87861,f331(f331(f114(f885(x87861,a871)),x87862),x87863))),f10(x87861,f331(f331(f105(f885(x87861,a871)),x87862),x87863))),f331(f331(f114(x87861),f10(x87861,x87862)),f10(x87861,x87863))) % 159.04/158.77 [8787]~P75(x87871)+~P104(f331(f62(x87871),x87873))+~P104(f331(f62(x87871),x87872))+E(f331(f331(f105(f885(x87871,a871)),x87872),x87873),f194(f885(x87871,a871)))+E(f331(f331(f105(x87871),f11(x87871,f331(f331(f114(f885(x87871,a871)),x87872),x87873))),f11(x87871,f331(f331(f105(f885(x87871,a871)),x87872),x87873))),f331(f331(f105(x87871),f11(x87871,x87872)),f11(x87871,x87873))) % 159.04/158.77 [8788]~P107(x87881)+~P104(f331(f62(x87881),x87883))+~P104(f331(f62(x87881),x87882))+E(f331(f331(f105(f885(x87881,a871)),x87882),x87883),f194(f885(x87881,a871)))+E(f331(f331(f242(x87881),f14(x87881,f331(f331(f114(f885(x87881,a871)),x87882),x87883))),f14(x87881,f331(f331(f105(f885(x87881,a871)),x87882),x87883))),f331(f331(f242(x87881),f14(x87881,x87882)),f14(x87881,x87883))) % 159.04/158.77 [8789]~P107(x87891)+~P104(f331(f62(x87891),x87893))+~P104(f331(f62(x87891),x87892))+E(f331(f331(f105(f885(x87891,a871)),x87892),x87893),f194(f885(x87891,a871)))+E(f331(f331(f243(x87891),f15(x87891,f331(f331(f114(f885(x87891,a871)),x87892),x87893))),f15(x87891,f331(f331(f105(f885(x87891,a871)),x87892),x87893))),f331(f331(f243(x87891),f15(x87891,x87892)),f15(x87891,x87893))) % 159.04/158.77 [9011]~P107(x90111)+~P104(f331(f62(x90111),x90113))+~P104(f331(f62(x90111),x90112))+E(f331(f331(f105(f885(x90111,a871)),x90112),x90113),f194(f885(x90111,a871)))+E(f331(f331(f242(x90111),f12(x90111,f242(x90111),f331(f331(f114(f885(x90111,a871)),x90112),x90113))),f12(x90111,f242(x90111),f331(f331(f105(f885(x90111,a871)),x90112),x90113))),f331(f331(f242(x90111),f12(x90111,f242(x90111),x90112)),f12(x90111,f242(x90111),x90113))) % 159.04/158.77 [9012]~P107(x90121)+~P104(f331(f62(x90121),x90123))+~P104(f331(f62(x90121),x90122))+E(f331(f331(f105(f885(x90121,a871)),x90122),x90123),f194(f885(x90121,a871)))+E(f331(f331(f243(x90121),f13(x90121,f243(x90121),f331(f331(f114(f885(x90121,a871)),x90122),x90123))),f13(x90121,f243(x90121),f331(f331(f105(f885(x90121,a871)),x90122),x90123))),f331(f331(f243(x90121),f13(x90121,f243(x90121),x90122)),f13(x90121,f243(x90121),x90123))) % 159.04/158.77 [9805]~P122(x98053)+E(x98051,x98052)+~P104(f331(f331(f244(x98053),f2(x98053)),x98052))+~P104(f331(f331(f244(x98053),f2(x98053)),x98051))+~E(f331(f331(f255(x98053),x98051),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)))),f331(f331(f255(x98053),x98052),f331(f107(a876),f331(f331(f80(a1),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101)),f331(f331(f22(a1),f331(f331(f80(a1),a83),a83)),a101))))) % 159.04/158.77 [6332]E(f856(x63321,x63322,x63323),x63324)+E(f331(x63321,x63324),f2(a876))+~E(f331(f331(f6(x63323,a876),x63321),x63322),f78(a876))+~P104(f331(f62(x63323),x63322))+~P104(f331(f331(f333(x63323),x63324),x63322)) % 159.04/158.77 [6393]E(f349(x63931,x63932,x63933),x63934)+E(f331(x63931,x63934),f2(a876))+~E(f331(f331(f6(x63933,a876),x63931),x63932),f331(a116,f2(a876)))+~P104(f331(f62(x63933),x63932))+~P104(f331(f331(f333(x63933),x63934),x63932)) % 159.04/158.77 [6499]~P107(x64991)+~P28(x64991)+P104(f331(f331(f245(x64991),x64992),f40(x64991,x64993)))+~P104(f331(f331(f245(x64991),x64992),x64994))+~P104(f331(f331(f333(x64991),x64994),x64993)) % 159.04/158.77 [6673]~P107(x66731)+~P28(x66731)+~P104(f331(f331(f245(x66731),x66734),x66733))+P104(f331(f331(f245(x66731),f41(x66731,x66732)),x66733))+~P104(f331(f331(f333(x66731),x66734),x66732)) % 159.04/158.77 [6932]~P122(x69323)+E(x69321,x69322)+~E(f331(f331(f255(x69323),x69321),f331(a116,x69324)),f331(f331(f255(x69323),x69322),f331(a116,x69324)))+~P104(f331(f331(f244(x69323),f2(x69323)),x69322))+~P104(f331(f331(f244(x69323),f2(x69323)),x69321)) % 159.04/158.77 [7143]~E(f858(x71432,x71433,x71431,x71434),x71434)+~E(f331(x71432,x71434),f78(a876))+E(f331(f331(f6(x71431,a876),x71432),x71433),f78(a876))+~P104(f331(f62(x71431),x71433))+~P104(f331(f331(f333(x71431),x71434),x71433)) % 159.04/158.77 [7150]~P114(x71504)+~P129(x71504)+E(f331(x71501,f847(x71501,x71502,x71503,x71504)),f2(x71504))+~E(f331(f331(f9(x71503,x71504),x71501),x71502),f2(x71504))+~P104(f331(f62(x71503),x71502)) % 159.04/158.77 [7236]~E(f353(x72362,x72363,x72361,x72364),x72364)+~E(f331(x72362,x72364),f331(a116,f2(a876)))+E(f331(f331(f6(x72361,a876),x72362),x72363),f331(a116,f2(a876)))+~P104(f331(f62(x72361),x72363))+~P104(f331(f331(f333(x72361),x72364),x72363)) % 159.04/158.77 [7972]~E(f331(x79722,x79724),f78(a876))+~E(f331(x79722,f858(x79722,x79723,x79721,x79724)),f2(a876))+E(f331(f331(f6(x79721,a876),x79722),x79723),f78(a876))+~P104(f331(f62(x79721),x79723))+~P104(f331(f331(f333(x79721),x79724),x79723)) % 159.04/158.77 [8016]~E(f331(x80162,x80164),f331(a116,f2(a876)))+~E(f331(x80162,f353(x80162,x80163,x80161,x80164)),f2(a876))+E(f331(f331(f6(x80161,a876),x80162),x80163),f331(a116,f2(a876)))+~P104(f331(f62(x80161),x80163))+~P104(f331(f331(f333(x80161),x80164),x80163)) % 159.04/158.77 [8574]~P107(x85741)+~P30(x85741,x85744)+P30(x85741,x85742)+~E(x85742,f331(f331(f150(x85741),x85743),x85744))+~P104(f331(f331(f244(x85741),x85743),f671(x85742,x85741,x85744,x85743))) % 159.04/158.77 [8608]E(x86081,x86082)+E(f331(f331(f22(a1),f396(x86083,x86082,x86084,x86081)),f397(x86083,x86082,x86084,x86081)),x86081)+~E(f331(f331(f80(a1),x86081),x86084),x86082)+~P104(f331(f331(f245(a1),f2(a1)),x86084))+~P104(f331(f331(f333(a1),x86082),x86083)) % 159.04/158.77 [8609]E(x86091,x86092)+E(f331(f331(f80(a1),f400(x86093,x86092,x86094,x86091)),f401(x86093,x86092,x86094,x86091)),x86091)+~E(f331(f331(f22(a1),x86091),x86094),x86092)+~P104(f331(f331(f245(a1),f2(a1)),x86094))+~P104(f331(f331(f333(a1),x86092),x86093)) % 159.04/158.77 [8784]E(f331(x87841,f775(x87842,x87841,x87843,x87844)),x87842)+P104(f331(f331(f244(a876),x87844),f776(x87842,x87841,x87843,x87844)))+~P104(f331(f331(f244(a1),x87842),f331(x87841,x87843)))+~P104(f331(f331(f245(a876),x87844),x87843))+~P104(f331(f331(f244(a1),f331(x87841,x87844)),x87842)) % 159.04/158.77 [8785]~P107(x87851)+~P30(x87851,x87853)+P30(x87851,x87852)+~E(x87852,f331(f331(f150(x87851),x87854),x87853))+P104(f331(f331(f333(x87851),f671(x87852,x87851,x87853,x87854)),f331(f172(x87851),x87853))) % 159.04/158.77 [8803]~P114(x88034)+~P129(x88034)+~E(f331(f331(f9(x88031,x88034),x88032),x88033),f2(x88034))+~P104(f331(f62(x88031),x88033))+P104(f331(f331(f333(x88031),f847(x88032,x88033,x88031,x88034)),x88033)) % 159.04/158.77 [8838]~E(f331(x88382,x88384),f78(a876))+E(f331(f331(f6(x88381,a876),x88382),x88383),f78(a876))+~P104(f331(f62(x88381),x88383))+~P104(f331(f331(f333(x88381),x88384),x88383))+P104(f331(f331(f333(x88381),f858(x88382,x88383,x88381,x88384)),x88383)) % 159.04/158.77 [8847]E(x88471,x88472)+~E(f331(f331(f80(a1),x88472),x88474),x88471)+~P104(f331(f331(f245(a1),f2(a1)),x88474))+~P104(f331(f331(f333(a1),x88471),x88473))+P104(f331(f331(f333(a1),f396(x88473,x88471,x88474,x88472)),x88473)) % 159.04/158.77 [8848]E(x88481,x88482)+~E(f331(f331(f22(a1),x88482),x88484),x88481)+~P104(f331(f331(f245(a1),f2(a1)),x88484))+~P104(f331(f331(f333(a1),x88481),x88483))+P104(f331(f331(f333(a1),f400(x88483,x88481,x88484,x88482)),x88483)) % 159.04/158.77 [8850]~E(f331(x88502,x88504),f331(a116,f2(a876)))+E(f331(f331(f6(x88501,a876),x88502),x88503),f331(a116,f2(a876)))+~P104(f331(f62(x88501),x88503))+~P104(f331(f331(f333(x88501),x88504),x88503))+P104(f331(f331(f333(x88501),f353(x88502,x88503,x88501,x88504)),x88503)) % 159.04/158.77 [8855]P56(x88552,x88553,x88554,x88551)+E(x88551,f194(f885(x88552,a871)))+~P104(f331(f62(x88552),x88554))+~P104(f331(f62(x88552),x88551))+P104(f331(f331(f333(x88552),f682(x88551,x88554,x88553,x88552)),x88554)) % 159.04/158.77 [8938]E(x89381,x89382)+~E(f331(f331(f80(a1),x89382),x89384),x89381)+~P104(f331(f331(f245(a1),f2(a1)),x89384))+~P104(f331(f331(f333(a1),x89381),x89383))+P104(f331(f331(f333(a1),f397(x89383,x89381,x89384,x89382)),f301(a1,f78(a1),x89384))) % 159.04/158.77 [8939]E(x89391,x89392)+~E(f331(f331(f22(a1),x89392),x89394),x89391)+~P104(f331(f331(f245(a1),f2(a1)),x89394))+~P104(f331(f331(f333(a1),x89391),x89393))+P104(f331(f331(f333(a1),f401(x89393,x89391,x89394,x89392)),f301(a1,f78(a1),x89394))) % 159.04/158.77 [9017]P104(f331(f331(f244(a876),x90171),f775(x90172,x90173,x90174,x90171)))+~P104(f331(f331(f244(a1),x90172),f331(x90173,x90174)))+P104(f331(f331(f244(a876),x90171),f776(x90172,x90173,x90174,x90171)))+~P104(f331(f331(f245(a876),x90171),x90174))+~P104(f331(f331(f244(a1),f331(x90173,x90171)),x90172)) % 159.04/158.77 [9127]E(f331(x91271,f775(x91272,x91271,x91273,x91274)),x91272)+~P104(f331(f331(f244(a1),x91272),f331(x91271,x91273)))+P104(f331(f331(f245(a876),f776(x91272,x91271,x91273,x91274)),x91273))+~P104(f331(f331(f245(a876),x91274),x91273))+~P104(f331(f331(f244(a1),f331(x91271,x91274)),x91272)) % 159.04/158.77 [9260]~P104(f331(f331(f244(a1),x92602),f331(x92603,x92604)))+P104(f331(f331(f244(a876),x92601),f776(x92602,x92603,x92604,x92601)))+P104(f331(f331(f244(a876),f775(x92602,x92603,x92604,x92601)),x92604))+~P104(f331(f331(f245(a876),x92601),x92604))+~P104(f331(f331(f244(a1),f331(x92603,x92601)),x92602)) % 159.04/158.77 [9261]~P104(f331(f331(f244(a1),x92612),f331(x92613,x92614)))+P104(f331(f331(f244(a876),x92611),f775(x92612,x92613,x92614,x92611)))+P104(f331(f331(f245(a876),f776(x92612,x92613,x92614,x92611)),x92614))+~P104(f331(f331(f245(a876),x92611),x92614))+~P104(f331(f331(f244(a1),f331(x92613,x92611)),x92612)) % 159.04/158.77 [9368]~P104(f331(f331(f244(a1),x93681),f331(x93682,x93683)))+P104(f331(f331(f245(a876),f776(x93681,x93682,x93683,x93684)),x93683))+~P104(f331(f331(f245(a876),x93684),x93683))+~P104(f331(f331(f244(a1),f331(x93682,x93684)),x93681))+P104(f331(f331(f244(a876),f775(x93681,x93682,x93683,x93684)),x93683)) % 159.04/158.77 [9446]E(x94461,f194(f885(x94462,a871)))+~P104(f331(f62(x94462),x94464))+~P104(f331(f62(x94462),x94461))+P104(f331(f331(f333(f884(f885(x94462,a871),f885(x94462,a871))),f331(f331(f265(f885(x94462,a871),f885(x94462,a871)),x94464),x94461)),f323(x94462,x94463)))+P104(f331(f331(f333(x94462),f690(x94463,x94461,x94464,x94462)),x94464)) % 159.04/158.77 [9447]E(x94471,f194(f885(x94472,a871)))+~P104(f331(f62(x94472),x94474))+~P104(f331(f62(x94472),x94471))+P104(f331(f331(f333(f884(f885(x94472,a871),f885(x94472,a871))),f331(f331(f265(f885(x94472,a871),f885(x94472,a871)),x94474),x94471)),f323(x94472,x94473)))+P104(f331(f331(f333(x94472),f738(x94473,x94471,x94474,x94472)),x94474)) % 159.04/158.77 [10108]E(f331(x101081,f775(x101082,x101081,x101083,x101084)),x101082)+~P104(f331(f331(f244(a1),x101082),f331(x101081,x101083)))+~P104(f331(f331(f244(a1),f331(f75(a1),f331(f331(f22(a1),f331(x101081,f331(f331(f80(a876),f776(x101082,x101081,x101083,x101084)),f78(a876)))),f331(x101081,f776(x101082,x101081,x101083,x101084))))),f78(a1)))+~P104(f331(f331(f245(a876),x101084),x101083))+~P104(f331(f331(f244(a1),f331(x101081,x101084)),x101082)) % 159.04/158.77 [10109]~P104(f331(f331(f244(a1),x101092),f331(x101093,x101094)))+P104(f331(f331(f244(a876),x101091),f775(x101092,x101093,x101094,x101091)))+~P104(f331(f331(f244(a1),f331(f75(a1),f331(f331(f22(a1),f331(x101093,f331(f331(f80(a876),f776(x101092,x101093,x101094,x101091)),f78(a876)))),f331(x101093,f776(x101092,x101093,x101094,x101091))))),f78(a1)))+~P104(f331(f331(f245(a876),x101091),x101094))+~P104(f331(f331(f244(a1),f331(x101093,x101091)),x101092)) % 159.04/158.77 [10110]~P104(f331(f331(f244(a1),x101101),f331(x101102,x101103)))+~P104(f331(f331(f244(a1),f331(f75(a1),f331(f331(f22(a1),f331(x101102,f331(f331(f80(a876),f776(x101101,x101102,x101103,x101104)),f78(a876)))),f331(x101102,f776(x101101,x101102,x101103,x101104))))),f78(a1)))+~P104(f331(f331(f245(a876),x101104),x101103))+~P104(f331(f331(f244(a1),f331(x101102,x101104)),x101101))+P104(f331(f331(f244(a876),f775(x101101,x101102,x101103,x101104)),x101103)) % 159.04/158.77 [7203]~P61(x72031)+P104(f331(f331(f245(x72031),x72032),f2(x72031)))+~P104(f331(f331(f244(x72031),x72033),f2(x72031)))+P104(f331(f331(f245(x72031),f2(x72031)),x72032))+P104(f331(f331(f244(x72031),x72033),f331(f331(f288(x72031),x72034),x72032))) % 159.04/158.77 [7204]~P61(x72041)+P104(f331(f331(f245(x72041),x72042),f2(x72041)))+~P104(f331(f331(f245(x72041),x72043),f2(x72041)))+P104(f331(f331(f245(x72041),f2(x72041)),x72042))+P104(f331(f331(f245(x72041),x72043),f331(f331(f288(x72041),x72044),x72042))) % 159.04/158.77 [7453]~P61(x74531)+P104(f331(f331(f244(x74531),x74532),f2(x74531)))+P104(f331(f331(f245(x74531),x74533),f2(x74531)))+P104(f331(f331(f245(x74531),f2(x74531)),x74533))+~P104(f331(f331(f244(x74531),x74532),f331(f331(f288(x74531),x74534),x74533))) % 159.04/158.77 [7454]~P61(x74541)+P104(f331(f331(f245(x74541),x74542),f2(x74541)))+P104(f331(f331(f245(x74541),x74543),f2(x74541)))+P104(f331(f331(f245(x74541),f2(x74541)),x74543))+~P104(f331(f331(f245(x74541),x74542),f331(f331(f288(x74541),x74544),x74543))) % 159.04/158.77 [7572]E(x75721,x75722)+~E(f331(f331(f164(x75723),x75724),x75721),f331(f331(f164(x75723),x75724),x75722))+~P104(f331(f136(x75723),x75724))+~P104(f331(f331(f245(a876),x75722),f331(f195(f877(x75723)),x75724)))+~P104(f331(f331(f245(a876),x75721),f331(f195(f877(x75723)),x75724))) % 159.04/158.77 [7934]~P61(x79341)+~P104(f331(f331(f244(x79341),x79343),f2(x79341)))+P104(f331(f331(f245(x79341),f2(x79341)),x79342))+~P104(f331(f331(f244(x79341),x79344),f331(f331(f81(x79341),x79343),x79342)))+P104(f331(f331(f244(x79341),x79343),f331(f331(f288(x79341),x79344),x79342))) % 159.04/158.77 [7935]~P61(x79351)+~P104(f331(f331(f245(x79351),x79353),f2(x79351)))+P104(f331(f331(f245(x79351),f2(x79351)),x79352))+~P104(f331(f331(f245(x79351),x79354),f331(f331(f81(x79351),x79353),x79352)))+P104(f331(f331(f245(x79351),x79353),f331(f331(f288(x79351),x79354),x79352))) % 159.04/158.77 [7936]~P61(x79361)+~P104(f331(f331(f245(x79361),x79362),f2(x79361)))+P104(f331(f331(f245(x79361),f2(x79361)),x79362))+~P104(f331(f331(f244(x79361),x79364),f331(f331(f81(x79361),x79363),x79362)))+P104(f331(f331(f244(x79361),x79363),f331(f331(f288(x79361),x79364),x79362))) % 159.04/158.77 [7937]~P61(x79371)+~P104(f331(f331(f245(x79371),x79372),f2(x79371)))+P104(f331(f331(f245(x79371),f2(x79371)),x79372))+~P104(f331(f331(f244(x79371),x79374),f331(f331(f288(x79371),x79373),x79372)))+P104(f331(f331(f244(x79371),x79373),f331(f331(f81(x79371),x79374),x79372))) % 159.04/158.77 [7938]~P61(x79381)+~P104(f331(f331(f245(x79381),x79382),f2(x79381)))+P104(f331(f331(f245(x79381),f2(x79381)),x79382))+~P104(f331(f331(f245(x79381),x79384),f331(f331(f81(x79381),x79383),x79382)))+P104(f331(f331(f245(x79381),x79383),f331(f331(f288(x79381),x79384),x79382))) % 159.04/158.77 [7939]~P61(x79391)+~P104(f331(f331(f245(x79391),x79392),f2(x79391)))+P104(f331(f331(f245(x79391),f2(x79391)),x79392))+~P104(f331(f331(f245(x79391),x79394),f331(f331(f288(x79391),x79393),x79392)))+P104(f331(f331(f245(x79391),x79393),f331(f331(f81(x79391),x79394),x79392))) % 159.04/158.77 [8084]~P107(x80841)+~P30(x80841,x80842)+~P104(f331(f331(f244(a876),x80843),x80844))+P104(f331(f331(f244(x80841),f331(f331(f164(x80841),x80842),x80843)),f331(f331(f164(x80841),x80842),x80844)))+~P104(f331(f331(f245(a876),x80844),f331(f195(f877(x80841)),x80842))) % 159.04/158.77 [8135]~P122(x81351)+~P104(f331(f331(f244(x81351),x81352),f78(x81351)))+~P104(f331(f331(f244(x81351),f2(x81351)),x81352))+~P104(f331(f331(f244(a876),x81354),x81353))+P104(f331(f331(f244(x81351),f331(f331(f255(x81351),x81352),x81353)),f331(f331(f255(x81351),x81352),x81354))) % 159.04/158.77 [8136]~P122(x81361)+~P104(f331(f331(f245(x81361),x81362),f78(x81361)))+~P104(f331(f331(f245(x81361),f2(x81361)),x81362))+~P104(f331(f331(f245(a876),x81364),x81363))+P104(f331(f331(f245(x81361),f331(f331(f255(x81361),x81362),x81363)),f331(f331(f255(x81361),x81362),x81364))) % 159.04/158.77 [8137]~P122(x81371)+~P104(f331(f331(f244(x81371),f2(x81371)),x81372))+~P104(f331(f331(f245(a876),f2(a876)),x81373))+~P104(f331(f331(f245(x81371),x81372),x81374))+P104(f331(f331(f245(x81371),f331(f331(f255(x81371),x81372),x81373)),f331(f331(f255(x81371),x81374),x81373))) % 159.04/158.77 [8157]~P107(x81571)+~P30(x81571,f331(f168(x81571),x81572))+~P104(f331(f331(f244(a876),x81574),x81573))+P104(f331(f331(f244(x81571),f331(f331(f164(x81571),x81572),x81573)),f331(f331(f164(x81571),x81572),x81574)))+~P104(f331(f331(f245(a876),x81573),f331(f195(f877(x81571)),x81572))) % 159.04/158.77 [8405]~P61(x84051)+~P104(f331(f331(f244(x84051),x84052),f2(x84051)))+~P104(f331(f331(f244(x84051),x84053),x84054))+~P104(f331(f331(f245(x84051),f2(x84051)),f331(f331(f81(x84051),x84053),x84054)))+P104(f331(f331(f244(x84051),f331(f331(f288(x84051),x84052),x84053)),f331(f331(f288(x84051),x84052),x84054))) % 159.04/158.77 [8406]~P62(x84061)+~P104(f331(f331(f245(x84061),x84062),f2(x84061)))+~P104(f331(f331(f245(x84061),x84063),x84064))+~P104(f331(f331(f245(x84061),f2(x84061)),f331(f331(f81(x84061),x84063),x84064)))+P104(f331(f331(f245(x84061),f331(f331(f288(x84061),x84062),x84063)),f331(f331(f288(x84061),x84062),x84064))) % 159.04/158.77 [8416]~P62(x84161)+~P104(f331(f331(f244(x84161),x84164),x84163))+~P104(f331(f331(f244(x84161),f2(x84161)),x84162))+~P104(f331(f331(f245(x84161),f2(x84161)),f331(f331(f81(x84161),x84163),x84164)))+P104(f331(f331(f244(x84161),f331(f331(f288(x84161),x84162),x84163)),f331(f331(f288(x84161),x84162),x84164))) % 159.04/158.77 [8417]~P62(x84171)+~P104(f331(f331(f245(x84171),x84174),x84173))+~P104(f331(f331(f245(x84171),f2(x84171)),x84172))+~P104(f331(f331(f245(x84171),f2(x84171)),f331(f331(f81(x84171),x84173),x84174)))+P104(f331(f331(f245(x84171),f331(f331(f288(x84171),x84172),x84173)),f331(f331(f288(x84171),x84172),x84174))) % 159.04/158.77 [8524]P104(f331(x85241,x85242))+~P104(f331(f62(x85244),x85242))+P104(f331(x85241,f678(x85241,x85243,x85242,x85244)))+~P104(f331(x85241,f194(f885(x85244,a871))))+~P104(f331(f331(f244(f885(x85244,a871)),x85242),x85243)) % 159.04/158.77 [8532]P104(f331(x85321,x85322))+P104(f331(f62(x85323),f678(x85321,x85324,x85322,x85323)))+~P104(f331(f62(x85323),x85322))+~P104(f331(x85321,f194(f885(x85323,a871))))+~P104(f331(f331(f244(f885(x85323,a871)),x85322),x85324)) % 159.04/158.77 [8779]E(f331(f331(f80(a1),f402(x87791,x87792,x87793,x87794)),f403(x87791,x87792,x87793,x87794)),x87794)+~P104(f331(f331(f245(a1),f2(a1)),x87793))+~P104(f331(f331(f245(a1),x87792),x87794))+~P104(f331(f331(f333(a1),x87792),x87791))+P104(f331(f331(f245(a1),x87792),f331(f331(f22(a1),x87794),x87793))) % 159.04/158.77 [8998]~P104(f331(f331(f245(a1),f2(a1)),x89983))+~P104(f331(f331(f245(a1),x89982),x89984))+~P104(f331(f331(f333(a1),x89982),x89981))+P104(f331(f331(f333(a1),f402(x89981,x89982,x89983,x89984)),x89981))+P104(f331(f331(f245(a1),x89982),f331(f331(f22(a1),x89984),x89983))) % 159.04/158.77 [9010]P104(f331(x90101,x90102))+~P104(f331(f62(x90103),x90102))+P104(f331(f331(f333(x90103),f672(x90101,x90104,x90102,x90103)),x90104))+~P104(f331(x90101,f194(f885(x90103,a871))))+~P104(f331(f331(f244(f885(x90103,a871)),x90102),x90104)) % 159.04/158.77 [9027]E(f331(f331(f80(a1),f391(x90271,x90272,x90273,x90274)),f392(x90271,x90272,x90273,x90274)),x90274)+~P104(f331(f331(f245(a1),f2(a1)),x90273))+~P104(f331(f331(f244(a1),x90272),x90274))+P104(f331(f331(f244(a1),x90272),f331(f331(f22(a1),x90274),x90273)))+~P104(f331(f331(f333(a1),f331(f331(f22(a1),x90272),f78(a1))),x90271)) % 159.04/158.77 [9079]~P104(f331(f331(f245(a1),f2(a1)),x90793))+~P104(f331(f331(f245(a1),x90791),x90792))+~P104(f331(f331(f333(a1),x90791),x90794))+P104(f331(f331(f333(a1),f403(x90794,x90791,x90793,x90792)),f301(a1,f78(a1),x90793)))+P104(f331(f331(f245(a1),x90791),f331(f331(f22(a1),x90792),x90793))) % 159.04/158.77 [9174]~P104(f331(f331(f245(a1),f2(a1)),x91743))+~P104(f331(f331(f244(a1),x91742),x91744))+P104(f331(f331(f333(a1),f391(x91741,x91742,x91743,x91744)),x91741))+P104(f331(f331(f244(a1),x91742),f331(f331(f22(a1),x91744),x91743)))+~P104(f331(f331(f333(a1),f331(f331(f22(a1),x91742),f78(a1))),x91741)) % 159.04/158.77 [9214]~P104(f331(f331(f245(a1),f2(a1)),x92143))+~P104(f331(f331(f244(a1),x92141),x92142))+P104(f331(f331(f333(a1),f392(x92144,x92141,x92143,x92142)),f301(a1,f78(a1),x92143)))+P104(f331(f331(f244(a1),x92141),f331(f331(f22(a1),x92142),x92143)))+~P104(f331(f331(f333(a1),f331(f331(f22(a1),x92141),f78(a1))),x92144)) % 159.04/158.77 [9449]P104(f331(x94491,x94492))+~P104(f331(f331(f333(x94493),f672(x94491,x94494,x94492,x94493)),f678(x94491,x94494,x94492,x94493)))+~P104(f331(f62(x94493),x94492))+~P104(f331(x94491,f194(f885(x94493,a871))))+~P104(f331(f331(f244(f885(x94493,a871)),x94492),x94494)) % 159.04/158.77 [9665]P104(f331(x96651,x96652))+~P104(f331(f62(x96653),x96652))+~P104(f331(x96651,f331(f331(f308(x96653),f672(x96651,x96654,x96652,x96653)),f678(x96651,x96654,x96652,x96653))))+~P104(f331(x96651,f194(f885(x96653,a871))))+~P104(f331(f331(f244(f885(x96653,a871)),x96652),x96654)) % 159.04/158.77 [7708]~P61(x77081)+P104(f331(f331(f245(x77081),x77082),f2(x77081)))+~P104(f331(f331(f244(x77081),f2(x77081)),x77084))+P104(f331(f331(f245(x77081),f2(x77081)),x77082))+P104(f331(f331(f244(x77081),f331(f331(f288(x77081),x77083),x77082)),x77084)) % 159.04/158.77 [7709]~P61(x77091)+P104(f331(f331(f245(x77091),x77092),f2(x77091)))+P104(f331(f331(f245(x77091),f2(x77091)),x77092))+~P104(f331(f331(f245(x77091),f2(x77091)),x77094))+P104(f331(f331(f245(x77091),f331(f331(f288(x77091),x77093),x77092)),x77094)) % 159.04/158.77 [7988]~P104(f331(f331(f244(a1),x79884),f2(a1)))+~E(x79882,f331(f331(f80(a1),f331(f331(f81(a1),x79881),x79883)),x79884))+P104(f331(f331(f245(a1),f2(a1)),x79881))+~P104(f331(f331(f245(a1),x79881),x79884))+P104(f331(f49(x79882,x79881),f331(f331(f265(a1,a1),x79883),x79884))) % 159.04/158.77 [8027]~P104(f331(x80271,x80274))+P104(f331(x80271,f388(x80272,x80271,x80273)))+~P104(f331(f331(f244(a1),f2(a1)),x80272))+~P104(f331(f331(f245(a1),f2(a1)),x80273))+P104(f331(x80271,f331(f331(f22(a1),x80274),f331(f331(f81(a1),x80272),x80273)))) % 159.04/158.77 [8028]~P104(f331(x80281,x80284))+P104(f331(x80281,f390(x80282,x80281,x80283)))+~P104(f331(f331(f244(a1),f2(a1)),x80282))+~P104(f331(f331(f245(a1),f2(a1)),x80283))+P104(f331(x80281,f331(f331(f80(a1),x80284),f331(f331(f81(a1),x80282),x80283)))) % 159.04/158.77 [8029]~P61(x80291)+P104(f331(f331(f245(x80291),x80292),f2(x80291)))+P104(f331(f331(f245(x80291),f2(x80291)),x80292))+P104(f331(f331(f244(x80291),f2(x80291)),x80293))+~P104(f331(f331(f244(x80291),f331(f331(f288(x80291),x80294),x80292)),x80293)) % 159.04/158.77 [8030]~P61(x80301)+P104(f331(f331(f245(x80301),x80302),f2(x80301)))+P104(f331(f331(f245(x80301),f2(x80301)),x80302))+P104(f331(f331(f245(x80301),f2(x80301)),x80303))+~P104(f331(f331(f245(x80301),f331(f331(f288(x80301),x80304),x80302)),x80303)) % 159.04/158.77 [8078]~E(x80781,f331(f331(f80(a1),f331(f331(f81(a1),x80782),x80783)),x80784))+~P104(f331(f331(f244(a1),f2(a1)),x80784))+~P104(f331(f331(f245(a1),f2(a1)),x80782))+~P104(f331(f331(f245(a1),x80784),x80782))+P104(f331(f49(x80781,x80782),f331(f331(f265(a1,a1),x80783),x80784))) % 159.04/158.77 [8201]~P61(x82011)+P104(f331(f331(f245(x82011),x82012),f2(x82011)))+~P104(f331(f331(f244(x82011),f2(x82011)),x82014))+~P104(f331(f331(f244(x82011),x82013),f331(f331(f81(x82011),x82014),x82012)))+P104(f331(f331(f244(x82011),f331(f331(f288(x82011),x82013),x82012)),x82014)) % 159.04/158.77 [8202]~P61(x82021)+P104(f331(f331(f245(x82021),x82022),f2(x82021)))+~P104(f331(f331(f245(x82021),f2(x82021)),x82024))+~P104(f331(f331(f245(x82021),x82023),f331(f331(f81(x82021),x82024),x82022)))+P104(f331(f331(f245(x82021),f331(f331(f288(x82021),x82023),x82022)),x82024)) % 159.04/158.77 [8283]~P61(x82831)+P104(f331(f331(f245(x82831),x82832),f2(x82831)))+~P104(f331(f331(f244(x82831),x82833),f2(x82831)))+P104(f331(f331(f244(x82831),x82833),f331(f331(f288(x82831),x82834),x82832)))+~P104(f331(f331(f244(x82831),f331(f331(f81(x82831),x82833),x82832)),x82834)) % 159.04/158.77 [8284]~P61(x82841)+P104(f331(f331(f245(x82841),x82842),f2(x82841)))+~P104(f331(f331(f245(x82841),x82843),f2(x82841)))+P104(f331(f331(f245(x82841),x82843),f331(f331(f288(x82841),x82844),x82842)))+~P104(f331(f331(f245(x82841),f331(f331(f81(x82841),x82843),x82842)),x82844)) % 159.04/158.77 [8442]~P61(x84421)+~P104(f331(f331(f245(x84421),x84422),f2(x84421)))+P104(f331(f331(f245(x84421),f2(x84421)),x84422))+~P104(f331(f331(f244(x84421),f331(f331(f288(x84421),x84424),x84422)),x84423))+P104(f331(f331(f244(x84421),f331(f331(f81(x84421),x84423),x84422)),x84424)) % 159.04/158.77 [8443]~P61(x84431)+~P104(f331(f331(f245(x84431),x84432),f2(x84431)))+P104(f331(f331(f245(x84431),f2(x84431)),x84432))+~P104(f331(f331(f244(x84431),f331(f331(f81(x84431),x84434),x84432)),x84433))+P104(f331(f331(f244(x84431),f331(f331(f288(x84431),x84433),x84432)),x84434)) % 159.04/158.77 [8444]~P61(x84441)+~P104(f331(f331(f245(x84441),x84442),f2(x84441)))+P104(f331(f331(f245(x84441),f2(x84441)),x84442))+~P104(f331(f331(f245(x84441),f331(f331(f288(x84441),x84444),x84442)),x84443))+P104(f331(f331(f245(x84441),f331(f331(f81(x84441),x84443),x84442)),x84444)) % 159.04/158.77 [8445]~P61(x84451)+~P104(f331(f331(f245(x84451),x84452),f2(x84451)))+P104(f331(f331(f245(x84451),f2(x84451)),x84452))+~P104(f331(f331(f245(x84451),f331(f331(f81(x84451),x84454),x84452)),x84453))+P104(f331(f331(f245(x84451),f331(f331(f288(x84451),x84453),x84452)),x84454)) % 159.04/158.77 [8467]~P61(x84671)+~P104(f331(f331(f244(x84671),f2(x84671)),x84674))+P104(f331(f331(f245(x84671),f2(x84671)),x84672))+~P104(f331(f331(f244(x84671),f331(f331(f81(x84671),x84674),x84672)),x84673))+P104(f331(f331(f244(x84671),f331(f331(f288(x84671),x84673),x84672)),x84674)) % 159.04/158.77 [8468]~P61(x84681)+~P104(f331(f331(f245(x84681),f2(x84681)),x84684))+P104(f331(f331(f245(x84681),f2(x84681)),x84682))+~P104(f331(f331(f245(x84681),f331(f331(f81(x84681),x84684),x84682)),x84683))+P104(f331(f331(f245(x84681),f331(f331(f288(x84681),x84683),x84682)),x84684)) % 159.04/158.77 [8540]~P61(x85401)+~P104(f331(f331(f245(x85401),x85404),f2(x85401)))+~P104(f331(f331(f244(x85401),x85403),f331(f331(f81(x85401),x85402),x85404)))+P104(f331(f331(f244(x85401),x85402),f331(f331(f288(x85401),x85403),x85404)))+~P104(f331(f331(f244(x85401),f331(f331(f81(x85401),x85402),x85404)),x85403)) % 159.04/158.77 [8541]~P61(x85411)+~P104(f331(f331(f244(x85411),x85412),f2(x85411)))+~P104(f331(f331(f244(x85411),x85413),f331(f331(f81(x85411),x85412),x85414)))+P104(f331(f331(f244(x85411),x85412),f331(f331(f288(x85411),x85413),x85414)))+~P104(f331(f331(f244(x85411),f331(f331(f81(x85411),x85412),x85414)),x85413)) % 159.04/158.77 [8542]~P61(x85421)+~P104(f331(f331(f245(x85421),x85424),f2(x85421)))+~P104(f331(f331(f245(x85421),x85423),f331(f331(f81(x85421),x85422),x85424)))+P104(f331(f331(f245(x85421),x85422),f331(f331(f288(x85421),x85423),x85424)))+~P104(f331(f331(f245(x85421),f331(f331(f81(x85421),x85422),x85424)),x85423)) % 159.04/158.77 [8543]~P61(x85431)+~P104(f331(f331(f245(x85431),x85432),f2(x85431)))+~P104(f331(f331(f245(x85431),x85433),f331(f331(f81(x85431),x85432),x85434)))+P104(f331(f331(f245(x85431),x85432),f331(f331(f288(x85431),x85433),x85434)))+~P104(f331(f331(f245(x85431),f331(f331(f81(x85431),x85432),x85434)),x85433)) % 159.04/158.77 [8656]~P61(x86561)+~P104(f331(f331(f245(x86561),x86563),f2(x86561)))+~P104(f331(f331(f244(x86561),x86562),f331(f331(f81(x86561),x86564),x86563)))+~P104(f331(f331(f244(x86561),f331(f331(f81(x86561),x86564),x86563)),x86562))+P104(f331(f331(f244(x86561),f331(f331(f288(x86561),x86562),x86563)),x86564)) % 159.04/158.77 [8657]~P61(x86571)+~P104(f331(f331(f245(x86571),x86573),f2(x86571)))+~P104(f331(f331(f245(x86571),x86572),f331(f331(f81(x86571),x86574),x86573)))+~P104(f331(f331(f245(x86571),f331(f331(f81(x86571),x86574),x86573)),x86572))+P104(f331(f331(f245(x86571),f331(f331(f288(x86571),x86572),x86573)),x86574)) % 159.04/158.77 [8672]~P61(x86721)+~P104(f331(f331(f244(x86721),f2(x86721)),x86724))+~P104(f331(f331(f244(x86721),x86722),f331(f331(f81(x86721),x86724),x86723)))+~P104(f331(f331(f244(x86721),f331(f331(f81(x86721),x86724),x86723)),x86722))+P104(f331(f331(f244(x86721),f331(f331(f288(x86721),x86722),x86723)),x86724)) % 159.04/158.77 [8673]~P61(x86731)+~P104(f331(f331(f245(x86731),f2(x86731)),x86734))+~P104(f331(f331(f245(x86731),x86732),f331(f331(f81(x86731),x86734),x86733)))+~P104(f331(f331(f245(x86731),f331(f331(f81(x86731),x86734),x86733)),x86732))+P104(f331(f331(f245(x86731),f331(f331(f288(x86731),x86732),x86733)),x86734)) % 159.04/158.77 [8840]E(f331(f331(f22(a1),f411(x88401,x88402,x88403,x88404)),f412(x88401,x88402,x88403,x88404)),x88404)+~P104(f331(f331(f245(a1),f2(a1)),x88403))+~P104(f331(f331(f333(a1),x88402),x88401))+~P104(f331(f331(f245(a1),x88404),x88402))+P104(f331(f331(f245(a1),f331(f331(f80(a1),x88404),x88403)),x88402)) % 159.04/158.77 [8920]~P104(f331(x89201,x89202))+~P104(f331(f331(f244(a1),f2(a1)),x89203))+~P104(f331(f331(f245(a1),f2(a1)),x89204))+~P104(f331(x89201,f331(f331(f22(a1),f388(x89203,x89201,x89204)),x89204)))+P104(f331(x89201,f331(f331(f22(a1),x89202),f331(f331(f81(a1),x89203),x89204)))) % 159.04/158.77 [8921]~P104(f331(x89211,x89212))+~P104(f331(f331(f244(a1),f2(a1)),x89213))+~P104(f331(f331(f245(a1),f2(a1)),x89214))+~P104(f331(x89211,f331(f331(f80(a1),f390(x89213,x89211,x89214)),x89214)))+P104(f331(x89211,f331(f331(f80(a1),x89212),f331(f331(f81(a1),x89213),x89214)))) % 159.04/158.77 [9073]~P104(f331(f331(f245(a1),f2(a1)),x90733))+~P104(f331(f331(f333(a1),x90732),x90731))+~P104(f331(f331(f245(a1),x90734),x90732))+P104(f331(f331(f333(a1),f411(x90731,x90732,x90733,x90734)),x90731))+P104(f331(f331(f245(a1),f331(f331(f80(a1),x90734),x90733)),x90732)) % 159.04/158.77 [9093]E(f331(f331(f22(a1),f398(x90931,x90932,x90933,x90934)),f399(x90931,x90932,x90933,x90934)),x90934)+~P104(f331(f331(f245(a1),f2(a1)),x90933))+~P104(f331(f331(f244(a1),x90934),x90932))+~P104(f331(f331(f333(a1),f331(f331(f80(a1),x90932),f78(a1))),x90931))+P104(f331(f331(f244(a1),f331(f331(f80(a1),x90934),x90933)),x90932)) % 159.04/158.77 [9119]~P104(f331(f331(f245(a1),f2(a1)),x91192))+~P104(f331(f331(f333(a1),x91193),x91194))+~P104(f331(f331(f245(a1),x91191),x91193))+P104(f331(f331(f333(a1),f412(x91194,x91193,x91192,x91191)),f301(a1,f78(a1),x91192)))+P104(f331(f331(f245(a1),f331(f331(f80(a1),x91191),x91192)),x91193)) % 159.04/158.77 [9209]~P104(f331(f331(f245(a1),f2(a1)),x92093))+~P104(f331(f331(f244(a1),x92094),x92092))+P104(f331(f331(f333(a1),f398(x92091,x92092,x92093,x92094)),x92091))+~P104(f331(f331(f333(a1),f331(f331(f80(a1),x92092),f78(a1))),x92091))+P104(f331(f331(f244(a1),f331(f331(f80(a1),x92094),x92093)),x92092)) % 159.04/158.77 [9256]~P104(f331(f331(f245(a1),f2(a1)),x92562))+~P104(f331(f331(f244(a1),x92561),x92563))+P104(f331(f331(f333(a1),f399(x92564,x92563,x92562,x92561)),f301(a1,f78(a1),x92562)))+~P104(f331(f331(f333(a1),f331(f331(f80(a1),x92563),f78(a1))),x92564))+P104(f331(f331(f244(a1),f331(f331(f80(a1),x92561),x92562)),x92563)) % 159.04/158.77 [9541]~P39(x95411,x95413)+~P22(x95411,x95414)+P39(x95411,f331(f331(f114(f885(f884(x95411,x95411),a871)),x95412),x95413))+~P104(f331(f331(f244(f885(f884(x95411,x95411),a871)),x95412),f331(f264(f885(f884(x95411,x95411),a871),f885(f884(x95411,x95411),a871)),x95414)))+~P104(f331(f331(f244(f885(f884(x95411,x95411),a871)),x95413),f331(f268(f885(f884(x95411,x95411),a871),f885(f884(x95411,x95411),a871)),x95414))) % 159.04/158.77 [9833]~E(f331(f526(x98331,x98334,x98333,x98332),f528(x98331,x98334,x98333,x98332)),f197(f877(a327)))+P104(f331(f331(f245(a1),f527(x98331,x98334,x98333,x98332)),f528(x98331,x98334,x98333,x98332)))+P104(f331(f331(f331(x98331,x98332),x98333),x98334))+P104(f331(f331(f331(x98331,f526(x98331,x98334,x98333,x98332)),f527(x98331,x98334,x98333,x98332)),f331(f331(f80(a1),f528(x98331,x98334,x98333,x98332)),f78(a1))))+~P104(f331(f319(f884(f885(a1,f880(f877(a327))),f884(a1,a1)),a316),f331(f331(f265(f885(a1,f880(f877(a327))),f884(a1,a1)),x98332),f331(f331(f265(a1,a1),x98333),x98334)))) % 159.04/158.77 [9934]~P14(x99342,x99344,x99343)+E(x99341,f194(f885(x99342,a871)))+~P104(f331(f62(x99342),x99341))+P104(f331(f331(f333(x99342),f331(x99343,x99341)),x99341))+~P104(f331(f331(f333(x99342),f331(f331(x99344,f623(x99341,x99343,x99344,x99342)),f639(x99341,x99343,x99344,x99342))),f331(f331(f308(x99342),f623(x99341,x99343,x99344,x99342)),f331(f331(f308(x99342),f639(x99341,x99343,x99344,x99342)),f194(f885(x99342,a871)))))) % 159.04/158.77 [9865]~P108(x98652)+~P58(x98651)+~P104(f331(f331(f244(f885(x98651,x98652)),x98653),x98654))+P104(f331(f331(f245(f885(x98651,x98652)),x98653),x98654))+~P104(f331(f58(x98651),f331(f331(f8(a871,a871,x98651),a326),f331(f331(f18(x98651,x98652,a871),f331(f331(f8(x98652,f885(x98652,a871),x98651),a328),x98653)),x98654)))) % 159.04/158.77 [9457]~P52(x94571,x94571,x94574)+P104(f331(f331(f333(f884(x94571,x94571)),f331(f331(f265(x94571,x94571),x94572),x94573)),f306(x94571,x94574)))+P104(f331(f331(f333(f884(x94571,x94571)),f331(f331(f265(x94571,x94571),x94573),x94572)),f306(x94571,x94574)))+~P104(f331(f331(f333(f884(x94571,x94571)),f331(f331(f265(x94571,x94571),x94575),x94572)),f306(x94571,x94574)))+~P104(f331(f331(f333(f884(x94571,x94571)),f331(f331(f265(x94571,x94571),x94575),x94573)),f306(x94571,x94574))) % 159.04/158.77 [5615]E(x56151,f2(a876))+~E(f331(f38(x56152),x56155),x56151)+E(f331(f38(x56152),x56153),f331(a116,x56151))+~E(x56153,f331(f331(f308(x56152),x56154),x56155))+P104(f331(f331(f333(x56152),x56154),x56155)) % 159.04/158.77 [5741]~P60(x57412)+E(x57411,f2(x57412))+E(x57413,f2(x57412))+~E(f331(f331(f288(x57412),x57414),x57413),f331(f331(f288(x57412),x57415),x57411))+E(f331(f331(f81(x57412),x57414),x57411),f331(f331(f81(x57412),x57415),x57413)) % 159.04/158.77 [5742]~P60(x57422)+E(x57421,f2(x57422))+E(x57423,f2(x57422))+~E(f331(f331(f81(x57422),x57424),x57423),f331(f331(f81(x57422),x57425),x57421))+E(f331(f331(f288(x57422),x57424),x57421),f331(f331(f288(x57422),x57425),x57423)) % 159.04/158.77 [5808]~E(f331(f38(x58081),x58085),x58083)+~E(x58085,f194(f885(x58081,a871)))+E(f331(f38(x58081),x58082),f331(a116,x58083))+~E(x58082,f331(f331(f308(x58081),x58084),x58085))+P104(f331(f331(f333(x58081),x58084),x58085)) % 159.04/158.77 [6036]~P114(x60362)+~E(f331(x60363,x60365),f2(x60362))+E(f331(f331(f9(x60361,x60362),x60363),x60364),f2(x60362))+~P104(f331(f62(x60361),x60364))+~P104(f331(f331(f333(x60361),x60365),x60364)) % 159.04/158.77 [6406]~P107(x64063)+E(x64061,x64062)+~E(f331(f300(x64063,x64064),x64061),f331(f300(x64063,x64065),x64062))+~P104(f331(f331(f245(x64063),x64065),x64062))+~P104(f331(f331(f245(x64063),x64064),x64061)) % 159.04/158.77 [6407]~P107(x64073)+E(x64071,x64072)+~E(f331(f300(x64073,x64071),x64074),f331(f300(x64073,x64072),x64075))+~P104(f331(f331(f245(x64073),x64072),x64075))+~P104(f331(f331(f245(x64073),x64071),x64074)) % 159.04/158.77 [7470]~P107(x74701)+~P30(x74701,f331(f331(f126(x74701),x74704),x74705))+~P104(f331(f331(f333(x74701),x74703),f331(f172(x74701),x74705)))+~P104(f331(f331(f333(x74701),x74702),f331(f172(x74701),x74704)))+P104(f331(f331(f244(x74701),x74702),x74703)) % 159.04/158.77 [8576]~P108(x85761)+~P104(f331(f331(f245(f885(x85761,a871)),f301(x85761,x85765,x85762)),f301(x85761,x85764,x85763)))+~P104(f331(f331(f244(x85761),x85765),x85762))+P104(f331(f331(f245(x85761),x85762),x85763))+P104(f331(f331(f245(x85761),x85764),x85765)) % 159.04/158.77 [9977]~P13(x99772,x99775,x99773)+E(x99771,f194(f885(x99772,a871)))+~E(f331(f331(x99775,f331(x99774,f693(x99771,x99774,x99773,x99775,x99772))),f331(x99774,f703(x99771,x99774,x99773,x99775,x99772))),f331(x99774,f331(f331(x99775,f693(x99771,x99774,x99773,x99775,x99772)),f703(x99771,x99774,x99773,x99775,x99772))))+E(f331(x99773,f331(f309(x99772,x99772,x99774),x99771)),f331(x99774,f331(x99773,x99771)))+~P104(f331(f62(x99772),x99771)) % 159.04/158.77 [6403]~P14(x64032,x64035,x64033)+E(x64031,f194(f885(x64032,a871)))+~P104(f331(f62(x64032),x64031))+E(f331(x64033,f331(f331(f308(x64032),x64034),x64031)),f331(f331(x64035,x64034),f331(x64033,x64031)))+P104(f331(f331(f333(x64032),x64034),x64031)) % 159.04/158.77 [7227]~P13(x72272,x72273,x72274)+E(f331(f331(x72273,f331(x72274,x72271)),f331(x72274,x72275)),f331(x72274,x72275))+E(x72271,f194(f885(x72272,a871)))+~P104(f331(f62(x72272),x72275))+~P104(f331(f331(f244(f885(x72272,a871)),x72271),x72275)) % 159.04/158.77 [7446]~P58(x74464)+~P94(x74465)+E(f331(x74461,x74462),f331(x74463,x74462))+~P104(f331(f331(f333(x74464),x74462),f331(f172(x74464),f56(x74464))))+~P104(f331(f331(f91(f885(x74464,x74465)),x74461),x74463)) % 159.04/158.77 [7605]~P14(x76054,x76055,x76051)+E(f331(x76051,x76052),x76053)+~P104(f331(f62(x76054),x76052))+~E(f331(f331(f22(f885(x76054,a871)),x76052),f331(f331(f308(x76054),x76053),f194(f885(x76054,a871)))),f194(f885(x76054,a871)))+~P104(f331(f331(f333(x76054),x76053),x76052)) % 159.04/158.77 [7690]E(x76901,x76902)+~E(f331(f195(f877(x76903)),x76902),f331(f195(f877(x76904)),x76905))+~E(f331(f195(f877(x76903)),x76901),f331(f195(f877(x76904)),x76905))+~E(f331(f178(x76904,x76903),f331(f331(f182(x76904,x76903),x76905),x76901)),f331(f178(x76904,x76903),f331(f331(f182(x76904,x76903),x76905),x76902)))+~P104(f331(f136(x76904),x76905)) % 159.04/158.77 [8547]E(x85471,x85472)+~P3(x85473,x85474,x85475)+E(f331(f331(f105(f885(x85473,a871)),x85471),x85472),f194(f885(x85473,a871)))+~P104(f331(f331(f333(f885(x85473,a871)),x85472),f331(f331(f61(x85473),x85474),x85475)))+~P104(f331(f331(f333(f885(x85473,a871)),x85471),f331(f331(f61(x85473),x85474),x85475))) % 159.04/158.77 [9338]~P69(x93382)+~E(f331(x93383,f429(x93383,x93384,x93385,x93381,x93382)),f2(x93382))+E(f331(f331(f6(x93381,x93382),x93383),x93384),f331(f331(f6(x93381,x93382),x93383),x93385))+~P104(f331(f62(x93381),x93385))+~P104(f331(f331(f244(f885(x93381,a871)),x93384),x93385)) % 159.04/158.77 [9339]~P69(x93392)+~E(f331(x93393,f430(x93393,x93394,x93395,x93391,x93392)),f2(x93392))+E(f331(f331(f6(x93391,x93392),x93393),x93394),f331(f331(f6(x93391,x93392),x93393),x93395))+~P104(f331(f62(x93391),x93395))+~P104(f331(f331(f244(f885(x93391,a871)),x93394),x93395)) % 159.04/158.77 [9340]~P68(x93402)+~E(f331(x93403,f422(x93403,x93404,x93405,x93401,x93402)),f78(x93402))+E(f331(f331(f9(x93401,x93402),x93403),x93404),f331(f331(f9(x93401,x93402),x93403),x93405))+~P104(f331(f62(x93401),x93405))+~P104(f331(f331(f244(f885(x93401,a871)),x93404),x93405)) % 159.04/158.77 [9341]~P68(x93412)+~E(f331(x93413,f424(x93413,x93414,x93415,x93411,x93412)),f78(x93412))+E(f331(f331(f9(x93411,x93412),x93413),x93414),f331(f331(f9(x93411,x93412),x93413),x93415))+~P104(f331(f62(x93411),x93415))+~P104(f331(f331(f244(f885(x93411,a871)),x93414),x93415)) % 159.04/158.77 [9813]~P87(x98131)+~P104(f331(f62(x98132),x98135))+~P104(f331(f331(f244(x98131),f2(x98131)),f331(x98133,f868(x98133,x98134,x98135,x98132,x98131))))+P104(f331(f331(f244(x98131),f331(f331(f6(x98132,x98131),x98133),x98134)),f331(f331(f6(x98132,x98131),x98133),x98135)))+~P104(f331(f331(f244(f885(x98132,a871)),x98134),x98135)) % 159.04/158.77 [7467]E(x74671,f2(a876))+P104(f331(x74672,x74673))+~E(x74674,f331(f331(f80(a876),f331(f331(f81(a876),x74671),x74673)),x74675))+~P104(f331(f331(f245(a876),x74675),x74671))+~P104(f331(x74672,f331(f331(f39(a876),x74674),x74671))) % 159.04/158.77 [7546]E(x75461,f2(a876))+P104(f331(x75462,x75463))+~P104(f331(x75462,f45(a876,x75464,x75461)))+~E(x75464,f331(f331(f80(a876),f331(f331(f81(a876),x75461),x75465)),x75463))+~P104(f331(f331(f245(a876),x75463),x75461)) % 159.04/158.77 [7835]~P60(x78353)+E(f331(x78351,x78352),f2(x78353))+~P104(f331(f62(x78354),x78355))+E(f331(f331(f9(x78354,x78353),x78351),f331(f331(f22(f885(x78354,a871)),x78355),f331(f331(f308(x78354),x78352),f194(f885(x78354,a871))))),f331(f331(f9(x78354,x78353),x78351),x78355))+P104(f331(f331(f333(x78354),x78352),x78355)) % 159.04/158.77 [8242]~P69(x82421)+~P104(f331(f62(x82422),x82425))+~P104(f331(f62(x82422),x82424))+~E(f331(f331(f105(f885(x82422,a871)),x82424),x82425),f194(f885(x82422,a871)))+E(f331(f331(f80(x82421),f331(f331(f6(x82422,x82421),x82423),x82424)),f331(f331(f6(x82422,x82421),x82423),x82425)),f331(f331(f6(x82422,x82421),x82423),f331(f331(f114(f885(x82422,a871)),x82424),x82425))) % 159.04/158.77 [8244]~P68(x82441)+~P104(f331(f62(x82442),x82445))+~P104(f331(f62(x82442),x82444))+~E(f331(f331(f105(f885(x82442,a871)),x82444),x82445),f194(f885(x82442,a871)))+E(f331(f331(f81(x82441),f331(f331(f9(x82442,x82441),x82443),x82444)),f331(f331(f9(x82442,x82441),x82443),x82445)),f331(f331(f9(x82442,x82441),x82443),f331(f331(f114(f885(x82442,a871)),x82444),x82445))) % 159.04/158.77 [8337]~P60(x83373)+E(f331(x83371,x83372),f2(x83373))+~P104(f331(f62(x83374),x83375))+E(f331(f331(f9(x83374,x83373),x83371),f331(f331(f22(f885(x83374,a871)),x83375),f331(f331(f308(x83374),x83372),f194(f885(x83374,a871))))),f331(f331(f288(x83373),f331(f331(f9(x83374,x83373),x83371),x83375)),f331(x83371,x83372)))+~P104(f331(f331(f333(x83374),x83372),x83375)) % 159.04/158.77 [9052]~P3(x90521,x90525,x90524)+~E(f331(f331(f61(x90521),f331(f331(f308(x90521),x90522),f194(f885(x90521,a871)))),x90524),f331(f331(f61(x90521),f331(f331(f308(x90521),x90523),f194(f885(x90521,a871)))),x90524))+~P104(f331(f331(f333(x90521),x90523),x90525))+~P104(f331(f331(f333(x90521),x90522),x90525))+P104(f331(f331(f333(f884(x90521,x90521)),f331(f331(f265(x90521,x90521),x90522),x90523)),x90524)) % 159.04/158.77 [9072]~P3(x90721,x90725,x90723)+E(f331(f331(f61(x90721),f331(f331(f308(x90721),x90722),f194(f885(x90721,a871)))),x90723),f331(f331(f61(x90721),f331(f331(f308(x90721),x90724),f194(f885(x90721,a871)))),x90723))+~P104(f331(f331(f333(x90721),x90724),x90725))+~P104(f331(f331(f333(x90721),x90722),x90725))+~P104(f331(f331(f333(f884(x90721,x90721)),f331(f331(f265(x90721,x90721),x90722),x90724)),x90723)) % 159.04/158.77 [9367]~P68(x93671)+~P104(f331(f62(x93672),x93675))+~P104(f331(f62(x93672),x93674))+~E(f331(f331(f105(f885(x93672,a871)),x93674),x93675),f194(f885(x93672,a871)))+E(f331(f331(f81(x93671),f331(f331(f331(f66(x93671,x93672,f81(x93671)),x93673),f78(x93671)),x93674)),f331(f331(f331(f66(x93671,x93672,f81(x93671)),x93673),f78(x93671)),x93675)),f331(f331(f331(f66(x93671,x93672,f81(x93671)),x93673),f78(x93671)),f331(f331(f114(f885(x93672,a871)),x93674),x93675))) % 159.04/158.77 [9376]~P69(x93761)+~E(f331(x93763,f342(x93763,x93765,x93764,x93762,x93761)),f2(x93761))+~P104(f331(f62(x93762),x93764))+~P104(f331(f62(x93762),x93765))+E(f331(f331(f80(x93761),f331(f331(f6(x93762,x93761),x93763),x93764)),f331(f331(f6(x93762,x93761),x93763),x93765)),f331(f331(f6(x93762,x93761),x93763),f331(f331(f114(f885(x93762,a871)),x93764),x93765))) % 159.04/158.77 [9377]~P69(x93771)+~E(f331(x93773,f343(x93773,x93775,x93774,x93772,x93771)),f2(x93771))+~P104(f331(f62(x93772),x93774))+~P104(f331(f62(x93772),x93775))+E(f331(f331(f80(x93771),f331(f331(f6(x93772,x93771),x93773),x93774)),f331(f331(f6(x93772,x93771),x93773),x93775)),f331(f331(f6(x93772,x93771),x93773),f331(f331(f114(f885(x93772,a871)),x93774),x93775))) % 159.04/158.77 [9378]~P68(x93781)+~E(f331(x93783,f867(x93783,x93785,x93784,x93782,x93781)),f78(x93781))+~P104(f331(f62(x93782),x93784))+~P104(f331(f62(x93782),x93785))+E(f331(f331(f81(x93781),f331(f331(f9(x93782,x93781),x93783),x93784)),f331(f331(f9(x93782,x93781),x93783),x93785)),f331(f331(f9(x93782,x93781),x93783),f331(f331(f114(f885(x93782,a871)),x93784),x93785))) % 159.04/158.77 [9379]~P68(x93791)+~E(f331(x93793,f870(x93793,x93795,x93794,x93792,x93791)),f78(x93791))+~P104(f331(f62(x93792),x93794))+~P104(f331(f62(x93792),x93795))+E(f331(f331(f81(x93791),f331(f331(f9(x93792,x93791),x93793),x93794)),f331(f331(f9(x93792,x93791),x93793),x93795)),f331(f331(f9(x93792,x93791),x93793),f331(f331(f114(f885(x93792,a871)),x93794),x93795))) % 159.04/158.77 [9585]~P68(x95851)+~E(f331(x95853,f845(x95853,x95855,x95854,x95852,x95851)),f78(x95851))+~P104(f331(f62(x95852),x95854))+~P104(f331(f62(x95852),x95855))+E(f331(f331(f81(x95851),f331(f331(f331(f66(x95851,x95852,f81(x95851)),x95853),f78(x95851)),x95854)),f331(f331(f331(f66(x95851,x95852,f81(x95851)),x95853),f78(x95851)),x95855)),f331(f331(f331(f66(x95851,x95852,f81(x95851)),x95853),f78(x95851)),f331(f331(f114(f885(x95852,a871)),x95854),x95855))) % 159.04/158.77 [9692]~P69(x96922)+E(f331(f331(f6(x96921,x96922),x96923),x96924),f331(f331(f6(x96921,x96922),x96923),x96925))+~P104(f331(f62(x96921),x96925))+~P104(f331(f331(f244(f885(x96921,a871)),x96924),x96925))+P104(f331(f331(f333(x96921),f429(x96923,x96924,x96925,x96921,x96922)),f331(f331(f22(f885(x96921,a871)),x96925),x96924))) % 159.04/158.77 [9693]~P69(x96932)+E(f331(f331(f6(x96931,x96932),x96933),x96934),f331(f331(f6(x96931,x96932),x96933),x96935))+~P104(f331(f62(x96931),x96935))+~P104(f331(f331(f244(f885(x96931,a871)),x96934),x96935))+P104(f331(f331(f333(x96931),f430(x96933,x96934,x96935,x96931,x96932)),f331(f331(f22(f885(x96931,a871)),x96935),x96934))) % 159.04/158.77 [9694]~P68(x96942)+E(f331(f331(f9(x96941,x96942),x96943),x96944),f331(f331(f9(x96941,x96942),x96943),x96945))+~P104(f331(f62(x96941),x96945))+~P104(f331(f331(f244(f885(x96941,a871)),x96944),x96945))+P104(f331(f331(f333(x96941),f422(x96943,x96944,x96945,x96941,x96942)),f331(f331(f22(f885(x96941,a871)),x96945),x96944))) % 159.04/158.77 [9695]~P68(x96952)+E(f331(f331(f9(x96951,x96952),x96953),x96954),f331(f331(f9(x96951,x96952),x96953),x96955))+~P104(f331(f62(x96951),x96955))+~P104(f331(f331(f244(f885(x96951,a871)),x96954),x96955))+P104(f331(f331(f333(x96951),f424(x96953,x96954,x96955,x96951,x96952)),f331(f331(f22(f885(x96951,a871)),x96955),x96954))) % 159.04/158.77 [9712]~P69(x97121)+~P104(f331(f62(x97122),x97124))+~P104(f331(f62(x97122),x97125))+E(f331(f331(f80(x97121),f331(f331(f6(x97122,x97121),x97123),x97124)),f331(f331(f6(x97122,x97121),x97123),x97125)),f331(f331(f6(x97122,x97121),x97123),f331(f331(f114(f885(x97122,a871)),x97124),x97125)))+P104(f331(f331(f333(x97122),f342(x97123,x97125,x97124,x97122,x97121)),f331(f331(f105(f885(x97122,a871)),x97124),x97125))) % 159.04/158.77 [9713]~P69(x97131)+~P104(f331(f62(x97132),x97134))+~P104(f331(f62(x97132),x97135))+E(f331(f331(f80(x97131),f331(f331(f6(x97132,x97131),x97133),x97134)),f331(f331(f6(x97132,x97131),x97133),x97135)),f331(f331(f6(x97132,x97131),x97133),f331(f331(f114(f885(x97132,a871)),x97134),x97135)))+P104(f331(f331(f333(x97132),f343(x97133,x97135,x97134,x97132,x97131)),f331(f331(f105(f885(x97132,a871)),x97134),x97135))) % 159.04/158.77 [9714]~P68(x97141)+~P104(f331(f62(x97142),x97144))+~P104(f331(f62(x97142),x97145))+E(f331(f331(f81(x97141),f331(f331(f9(x97142,x97141),x97143),x97144)),f331(f331(f9(x97142,x97141),x97143),x97145)),f331(f331(f9(x97142,x97141),x97143),f331(f331(f114(f885(x97142,a871)),x97144),x97145)))+P104(f331(f331(f333(x97142),f867(x97143,x97145,x97144,x97142,x97141)),f331(f331(f105(f885(x97142,a871)),x97144),x97145))) % 159.04/158.77 [9715]~P68(x97151)+~P104(f331(f62(x97152),x97154))+~P104(f331(f62(x97152),x97155))+E(f331(f331(f81(x97151),f331(f331(f9(x97152,x97151),x97153),x97154)),f331(f331(f9(x97152,x97151),x97153),x97155)),f331(f331(f9(x97152,x97151),x97153),f331(f331(f114(f885(x97152,a871)),x97154),x97155)))+P104(f331(f331(f333(x97152),f870(x97153,x97155,x97154,x97152,x97151)),f331(f331(f105(f885(x97152,a871)),x97154),x97155))) % 159.04/158.77 [9722]~P87(x97225)+~P104(f331(f62(x97221),x97224))+P104(f331(f331(f244(x97225),f331(f331(f6(x97221,x97225),x97222),x97223)),f331(f331(f6(x97221,x97225),x97222),x97224)))+~P104(f331(f331(f244(f885(x97221,a871)),x97223),x97224))+P104(f331(f331(f333(x97221),f868(x97222,x97223,x97224,x97221,x97225)),f331(f331(f22(f885(x97221,a871)),x97224),x97223))) % 159.04/158.77 [9776]~P68(x97761)+~P104(f331(f62(x97762),x97764))+~P104(f331(f62(x97762),x97765))+E(f331(f331(f81(x97761),f331(f331(f331(f66(x97761,x97762,f81(x97761)),x97763),f78(x97761)),x97764)),f331(f331(f331(f66(x97761,x97762,f81(x97761)),x97763),f78(x97761)),x97765)),f331(f331(f331(f66(x97761,x97762,f81(x97761)),x97763),f78(x97761)),f331(f331(f114(f885(x97762,a871)),x97764),x97765)))+P104(f331(f331(f333(x97762),f845(x97763,x97765,x97764,x97762,x97761)),f331(f331(f105(f885(x97762,a871)),x97764),x97765))) % 159.04/158.77 [8740]~P14(x87401,x87404,x87405)+~P104(f331(f62(x87401),x87402))+E(f331(f331(f22(f885(x87401,a871)),x87402),f331(f331(f308(x87401),x87403),f194(f885(x87401,a871)))),f194(f885(x87401,a871)))+~P104(f331(f331(f333(x87401),x87403),x87402))+E(f331(f331(x87404,x87403),f331(x87405,f331(f331(f22(f885(x87401,a871)),x87402),f331(f331(f308(x87401),x87403),f194(f885(x87401,a871)))))),f331(x87405,x87402)) % 159.04/158.77 [8814]~P14(x88141,x88144,x88145)+~P104(f331(f62(x88141),x88143))+~P104(f331(f62(x88141),x88142))+E(f331(f331(f105(f885(x88141,a871)),x88142),x88143),f194(f885(x88141,a871)))+E(f331(f331(x88144,f331(x88145,f331(f331(f114(f885(x88141,a871)),x88142),x88143))),f331(x88145,f331(f331(f105(f885(x88141,a871)),x88142),x88143))),f331(f331(x88144,f331(x88145,x88142)),f331(x88145,x88143))) % 159.04/158.77 [9381]~P104(f331(f331(f244(a1),x93814),f2(a1)))+~P104(f331(f331(f245(a1),x93813),x93815))+P104(f331(f331(f244(a1),x93811),x93812))+~P104(f331(f331(f245(a1),x93813),x93814))+~P104(f331(f331(f244(a1),f331(f331(f80(a1),f331(f331(f81(a1),x93813),x93812)),x93815)),f331(f331(f80(a1),f331(f331(f81(a1),x93813),x93811)),x93814))) % 159.04/158.77 [9383]~P104(f331(f331(f244(a1),f2(a1)),x93835))+P104(f331(f331(f244(a1),x93831),x93832))+~P104(f331(f331(f245(a1),x93833),x93834))+~P104(f331(f331(f245(a1),x93835),x93834))+~P104(f331(f331(f244(a1),f331(f331(f80(a1),f331(f331(f81(a1),x93834),x93831)),x93835)),f331(f331(f80(a1),f331(f331(f81(a1),x93834),x93832)),x93833))) % 159.04/158.77 [9494]~P60(x94945)+E(f331(x94941,f381(x94941,x94942,x94943,x94944,x94945)),f2(x94945))+~P104(f331(f62(x94944),x94943))+~P104(f331(f62(x94944),x94942))+E(f331(f331(f288(x94945),f331(f331(f81(x94945),f331(f331(f9(x94944,x94945),x94941),x94943)),f331(f331(f9(x94944,x94945),x94941),x94942))),f331(f331(f9(x94944,x94945),x94941),f331(f331(f105(f885(x94944,a871)),x94943),x94942))),f331(f331(f9(x94944,x94945),x94941),f331(f331(f114(f885(x94944,a871)),x94943),x94942))) % 159.04/158.77 [9768]~P60(x97681)+~P104(f331(f62(x97682),x97684))+~P104(f331(f62(x97682),x97685))+E(f331(f331(f288(x97681),f331(f331(f81(x97681),f331(f331(f9(x97682,x97681),x97683),x97684)),f331(f331(f9(x97682,x97681),x97683),x97685))),f331(f331(f9(x97682,x97681),x97683),f331(f331(f105(f885(x97682,a871)),x97684),x97685))),f331(f331(f9(x97682,x97681),x97683),f331(f331(f114(f885(x97682,a871)),x97684),x97685)))+P104(f331(f331(f333(x97682),f381(x97683,x97685,x97684,x97682,x97681)),f331(f331(f105(f885(x97682,a871)),x97684),x97685))) % 159.04/158.77 [9092]E(f331(f331(f126(x90921),x90922),x90923),f331(f331(f126(x90921),x90924),x90925))+~E(f331(f331(f175(x90921),f331(f195(f877(x90921)),x90924)),x90922),x90924)+~E(f331(f331(f175(x90921),f331(f195(f877(x90921)),x90922)),x90924),x90922)+~E(x90925,f331(f331(f126(x90921),f331(f331(f137(x90921),f331(f195(f877(x90921)),x90924)),x90922)),x90923))+~E(f331(f331(f126(x90921),f331(f331(f137(x90921),f331(f195(f877(x90921)),x90922)),x90924)),x90925),x90923) % 159.04/158.77 [9492]~P107(x94922)+E(f331(f331(f147(x94921,x94922,x94923),x94924),f170(x94921,x94924,x94925)),x94925)+~P30(x94922,f331(f331(f153(x94921,x94922),x94923),x94925))+~P104(f331(f331(f333(x94921),x94924),f331(f172(x94921),x94925)))+~E(f331(f140(x94921),f331(f135(x94921,f331(f331(f8(x94922,a871,x94921),f331(a328,f331(x94923,x94924))),x94923)),x94925)),x94924) % 159.04/158.77 [9830]~P66(x98301)+~P104(f331(f67(x98301,x98301,f81(x98301),x98302,x98303),x98305))+~P104(f331(f331(f333(x98301),x98304),x98303))+P104(f331(f331(f333(x98301),x98302),x98303))+P104(f331(f67(x98301,x98301,f81(x98301),x98304,f331(f331(f308(x98301),x98302),f331(f331(f22(f885(x98301,a871)),x98303),f331(f331(f308(x98301),x98304),f194(f885(x98301,a871)))))),x98305)) % 159.04/158.77 [7235]E(x72351,x72352)+~P21(x72354,x72355,x72353,x72356)+~E(f331(x72353,x72351),f331(x72353,x72352))+~P104(f331(f331(f333(x72354),x72352),x72356))+~P104(f331(f331(f333(x72354),x72351),x72356)) % 159.04/158.77 [6494]~P141(x64944)+E(x64941,x64942)+~E(x64945,x64946)+E(x64943,f2(x64944))+~E(f331(f331(f80(x64944),x64945),f331(f331(f81(x64944),x64943),x64941)),f331(f331(f80(x64944),x64946),f331(f331(f81(x64944),x64943),x64942))) % 159.04/158.77 [7527]~P107(x75271)+~P28(x75271)+~P104(f331(f331(f245(x75271),x75272),f331(x75275,x75276)))+~P104(f331(f331(f333(x75273),x75276),x75274))+P104(f331(f331(f245(x75271),x75272),f331(f331(f42(x75273,x75271),x75274),x75275))) % 159.04/158.77 [8212]~P107(x82121)+~P28(x82121)+~P104(f331(f331(f245(x82121),f331(x82124,x82126)),x82125))+~P104(f331(f331(f333(x82122),x82126),x82123))+P104(f331(f331(f245(x82121),f331(f331(f43(x82122,x82121),x82123),x82124)),x82125)) % 159.04/158.77 [8474]~P15(x84742,x84745,x84746,x84741)+~P104(f331(f62(x84742),x84744))+~P104(f331(f62(x84742),x84743))+~E(f331(f331(f105(f885(x84742,a871)),x84743),x84744),f194(f885(x84742,a871)))+E(f331(x84741,f331(f331(f114(f885(x84742,a871)),x84743),x84744)),f331(f73(x84745,x84745,x84745,f331(x84741,x84743)),f331(x84741,x84744))) % 159.04/158.77 [8783]E(x87831,x87832)+~P54(x87834,x87835,x87836,x87833,x87837)+~E(f331(x87833,x87831),f331(x87833,x87832))+~P104(f331(f331(f333(x87835),x87832),x87837))+~P104(f331(f331(f333(x87835),x87831),x87837)) % 159.04/158.77 [10076]~P104(f331(x100762,x100764))+~E(x100765,f331(f135(x100761,x100762),x100767))+E(f331(f135(x100761,x100762),x100763),f331(f331(f150(x100761),x100764),x100765))+~E(x100763,f331(f331(f126(x100761),x100766),f331(f331(f150(x100761),x100764),x100767)))+P104(f331(x100762,f736(x100765,x100764,x100763,x100762,x100761,x100766,x100767))) % 159.04/158.77 [10077]~P104(f331(x100774,x100772))+~E(x100773,f331(f135(x100771,x100774),x100777))+E(f331(f331(f150(x100771),x100772),x100773),f331(f135(x100771,x100774),x100775))+~E(x100775,f331(f331(f126(x100771),x100776),f331(f331(f150(x100771),x100772),x100777)))+P104(f331(x100774,f734(x100775,x100774,x100773,x100772,x100771,x100776,x100777))) % 159.04/158.77 [10111]~P104(f331(x101112,x101114))+~E(x101115,f331(f135(x101111,x101112),x101117))+E(f331(f135(x101111,x101112),x101113),f331(f331(f150(x101111),x101114),x101115))+~E(x101113,f331(f331(f126(x101111),x101116),f331(f331(f150(x101111),x101114),x101117)))+P104(f331(f331(f333(x101111),f736(x101115,x101114,x101113,x101112,x101111,x101116,x101117)),f331(f172(x101111),x101116))) % 159.04/158.77 [10112]~P104(f331(x101124,x101122))+~E(x101123,f331(f135(x101121,x101124),x101127))+E(f331(f331(f150(x101121),x101122),x101123),f331(f135(x101121,x101124),x101125))+~E(x101125,f331(f331(f126(x101121),x101126),f331(f331(f150(x101121),x101122),x101127)))+P104(f331(f331(f333(x101121),f734(x101125,x101124,x101123,x101122,x101121,x101126,x101127)),f331(f172(x101121),x101126))) % 159.04/158.77 [10115]~P3(x101151,x101157,x101156)+~P9(x101151,f885(x101155,a871),x101156,x101154)+P104(f331(f331(f333(x101151),f510(x101152,x101153,x101154,x101155,x101156,x101157,x101151)),x101157))+~P104(f331(f331(f333(f885(x101151,a871)),x101153),f331(f331(f61(x101151),x101157),x101156)))+P104(f331(f331(f333(f885(x101155,a871)),f331(f331(f42(x101151,f885(x101155,a871)),x101153),x101154)),x101152)) % 159.04/158.77 [10160]~P3(x101602,x101606,x101607)+~P9(x101602,f885(x101601,a871),x101607,x101604)+~P104(f331(f331(f333(f885(x101602,a871)),x101603),f331(f331(f61(x101602),x101606),x101607)))+~P104(f331(f331(f333(f885(x101601,a871)),f331(x101604,f510(x101605,x101603,x101604,x101601,x101607,x101606,x101602))),x101605))+P104(f331(f331(f333(f885(x101601,a871)),f331(f331(f42(x101602,f885(x101601,a871)),x101603),x101604)),x101605)) % 159.04/158.77 [8381]~P68(x83812)+~P21(x83811,x83815,x83818,x83814)+~E(x83813,f331(f73(x83815,x83812,x83811,x83816),x83818))+~E(x83817,f331(f309(x83811,x83815,x83818),x83814))+E(f331(f331(f9(x83811,x83812),x83813),x83814),f331(f331(f9(x83815,x83812),x83816),x83817)) % 159.04/158.77 [10164]~P68(x101642)+~P21(x101645,x101641,x101648,x101647)+~E(f331(x101646,f423(x101643,x101646,x101644,x101647,x101648,x101641,x101645,x101642)),f331(f331(f73(x101641,x101642,x101645,x101643),x101648),f423(x101643,x101646,x101644,x101647,x101648,x101641,x101645,x101642)))+~E(x101644,f331(f309(x101645,x101641,x101648),x101647))+E(f331(f331(f9(x101641,x101642),x101643),x101644),f331(f331(f9(x101645,x101642),x101646),x101647)) % 159.04/158.77 [10166]~P69(x101662)+~P21(x101661,x101665,x101668,x101664)+~E(x101667,f331(f309(x101661,x101665,x101668),x101664))+E(f331(f331(f6(x101661,x101662),x101663),x101664),f331(f331(f6(x101665,x101662),x101666),x101667))+P104(f331(f331(f333(x101661),f745(x101666,x101663,x101667,x101664,x101668,x101665,x101661,x101662)),x101664)) % 159.04/158.77 [10167]~P68(x101672)+~P21(x101671,x101675,x101678,x101674)+~E(x101677,f331(f309(x101671,x101675,x101678),x101674))+E(f331(f331(f9(x101671,x101672),x101673),x101674),f331(f331(f9(x101675,x101672),x101676),x101677))+P104(f331(f331(f333(x101671),f423(x101676,x101673,x101677,x101674,x101678,x101675,x101671,x101672)),x101674)) % 159.04/158.77 [10173]~P69(x101732)+~P21(x101735,x101731,x101738,x101737)+~E(x101734,f331(f309(x101735,x101731,x101738),x101737))+~E(f331(x101736,f745(x101733,x101736,x101734,x101737,x101738,x101731,x101735,x101732)),f331(x101733,f331(x101738,f745(x101733,x101736,x101734,x101737,x101738,x101731,x101735,x101732))))+E(f331(f331(f6(x101731,x101732),x101733),x101734),f331(f331(f6(x101735,x101732),x101736),x101737)) % 159.04/158.77 [9547]~E(f331(f195(f877(x95472)),x95475),f331(f195(f877(x95471)),x95473))+~E(f331(f195(f877(x95472)),x95474),f331(f195(f877(x95471)),x95473))+~E(f331(f331(f331(f72(x95471,f880(x95472)),f331(f178(x95471,x95472),f331(f331(f182(x95471,x95472),x95473),x95474))),x95476),f331(f236(x95472),x95477)),f331(f331(f331(f72(x95471,f880(x95472)),f331(f178(x95471,x95472),f331(f331(f182(x95471,x95472),x95473),x95475))),x95476),f331(f236(x95472),x95478)))+E(f331(f178(x95471,x95472),f331(f331(f182(x95471,x95472),x95473),x95474)),f331(f178(x95471,x95472),f331(f331(f182(x95471,x95472),x95473),x95475)))+P104(f331(f331(f333(x95471),x95476),f331(f172(x95471),x95473))) % 159.04/158.77 [9660]~P19(x96606,x96602,x96605,x96607,x96608,x96601)+~P104(f331(f62(x96602),x96604))+~P104(f331(f62(x96602),x96603))+~E(f331(f331(f105(f885(x96602,a871)),x96603),x96604),f194(f885(x96602,a871)))+E(f331(x96601,f331(f331(f114(f885(x96602,a871)),x96603),x96604)),f331(f331(x96605,f331(x96601,x96603)),f331(x96601,x96604))) % 159.04/158.77 [10063]~P19(x100638,x100632,x100635,x100637,x100636,x100631)+~E(f331(x100636,f826(x100634,x100633,x100631,x100636,x100637,x100635,x100632)),x100637)+~P104(f331(f62(x100632),x100633))+~P104(f331(f62(x100632),x100634))+E(f331(x100631,f331(f331(f114(f885(x100632,a871)),x100633),x100634)),f331(f331(x100635,f331(x100631,x100633)),f331(x100631,x100634))) % 159.04/158.77 [10120]~P19(x101208,x101202,x101205,x101207,x101206,x101201)+~P104(f331(f62(x101202),x101203))+~P104(f331(f62(x101202),x101204))+E(f331(x101201,f331(f331(f114(f885(x101202,a871)),x101203),x101204)),f331(f331(x101205,f331(x101201,x101203)),f331(x101201,x101204)))+P104(f331(f331(f333(x101202),f826(x101204,x101203,x101201,x101206,x101207,x101205,x101202)),f331(f331(f105(f885(x101202,a871)),x101203),x101204))) % 159.04/158.77 [9818]~P3(x98184,x98188,x98185)+~P3(x98181,x98189,x98183)+~P10(x98181,x98184,f885(x98182,a871),x98183,x98185,x98187)+P9(x98181,f885(x98182,a871),x98183,f331(f331(f8(f885(x98184,f885(x98182,a871)),f885(x98182,a871),x98181),f331(f42(x98184,f885(x98182,a871)),f331(f284(x98184,x98184,x98185),f331(f331(f308(x98184),x98186),f194(f885(x98184,a871)))))),x98187))+~P104(f331(f331(f333(x98184),x98186),x98188)) % 159.04/158.77 [5421]~P107(x54213)+~P30(x54213,x54211)+E(x54211,f707(x54212,x54213))+~E(f331(f172(x54213),x54211),x54212)+~P104(f331(f62(x54213),x54212))+~P104(f331(f136(x54213),x54211)) % 159.04/158.77 [5043]~P129(x50432)+~P130(x50432)+~P142(x50432)+~P112(x50432)+E(x50431,f2(x50432))+~E(f331(f331(f255(x50432),x50431),x50433),f2(x50432)) % 159.04/158.77 [5044]~P129(x50442)+~P130(x50442)+~P142(x50442)+~P112(x50442)+~E(x50441,f2(a876))+~E(f331(f331(f255(x50442),x50443),x50441),f2(x50442)) % 159.04/158.77 [6476]~P87(x64761)+~E(x64763,f2(x64761))+~E(x64762,f2(x64761))+E(f331(f331(f80(x64761),x64762),x64763),f2(x64761))+~P104(f331(f331(f244(x64761),f2(x64761)),x64763))+~P104(f331(f331(f244(x64761),f2(x64761)),x64762)) % 159.04/158.77 [8845]~E(f331(f264(a876,a876),x88453),f2(a876))+~E(x88451,f331(f331(f80(a876),f331(f331(f81(a876),f331(f264(a876,a876),x88453)),x88452)),f331(f268(a876,a876),x88453)))+P104(f331(f48(x88451,x88452),x88453))+~P104(f331(f331(f244(a876),f331(f268(a876,a876),x88453)),f2(a876)))+P104(f331(f331(f245(a876),f2(a876)),x88452))+~P104(f331(f331(f245(a876),x88452),f331(f268(a876,a876),x88453))) % 159.04/158.77 [8853]E(x88531,f2(a876))+~E(x88532,f331(f331(f80(a876),f331(f331(f81(a876),f331(f264(a876,a876),x88533)),x88531)),f331(f268(a876,a876),x88533)))+P104(f331(f48(x88532,x88531),x88533))+~P104(f331(f331(f245(a876),f2(a876)),x88531))+~P104(f331(f331(f244(a876),f2(a876)),f331(f268(a876,a876),x88533)))+~P104(f331(f331(f245(a876),f331(f268(a876,a876),x88533)),x88531)) % 159.04/158.77 [8871]~E(f331(f264(a876,a876),x88713),f2(a876))+~E(x88711,f331(f331(f80(a876),f331(f331(f81(a876),f331(f264(a876,a876),x88713)),x88712)),f331(f268(a876,a876),x88713)))+P104(f331(f48(x88711,x88712),x88713))+~P104(f331(f331(f245(a876),f2(a876)),x88712))+~P104(f331(f331(f244(a876),f2(a876)),f331(f268(a876,a876),x88713)))+~P104(f331(f331(f245(a876),f331(f268(a876,a876),x88713)),x88712)) % 159.04/158.77 [6858]~P75(x68582)+E(x68581,f194(f885(x68582,a871)))+E(x68583,f194(f885(x68582,a871)))+~P104(f331(f62(x68582),x68581))+~P104(f331(f62(x68582),x68583))+E(f11(x68582,f331(f331(f114(f885(x68582,a871)),x68583),x68581)),f331(f331(f105(x68582),f11(x68582,x68583)),f11(x68582,x68581))) % 159.04/158.77 [6859]~P75(x68592)+E(x68591,f194(f885(x68592,a871)))+E(x68593,f194(f885(x68592,a871)))+~P104(f331(f62(x68592),x68591))+~P104(f331(f62(x68592),x68593))+E(f10(x68592,f331(f331(f114(f885(x68592,a871)),x68593),x68591)),f331(f331(f114(x68592),f10(x68592,x68593)),f10(x68592,x68591))) % 159.04/158.77 [6860]~P107(x68602)+E(x68601,f194(f885(x68602,a871)))+E(x68603,f194(f885(x68602,a871)))+~P104(f331(f62(x68602),x68601))+~P104(f331(f62(x68602),x68603))+E(f14(x68602,f331(f331(f114(f885(x68602,a871)),x68603),x68601)),f331(f331(f242(x68602),f14(x68602,x68603)),f14(x68602,x68601))) % 159.04/158.77 [6861]~P107(x68612)+E(x68611,f194(f885(x68612,a871)))+E(x68613,f194(f885(x68612,a871)))+~P104(f331(f62(x68612),x68611))+~P104(f331(f62(x68612),x68613))+E(f15(x68612,f331(f331(f114(f885(x68612,a871)),x68613),x68611)),f331(f331(f243(x68612),f15(x68612,x68613)),f15(x68612,x68611))) % 159.04/158.77 [7502]~P95(x75022)+E(x75021,f194(f885(x75022,a871)))+E(x75023,f194(f885(x75022,a871)))+~P104(f331(f62(x75022),x75021))+~P104(f331(f62(x75022),x75023))+E(f331(f331(f81(x75022),f331(f64(x75022,f81(x75022)),x75023)),f331(f64(x75022,f81(x75022)),x75021)),f331(f64(x75022,f81(x75022)),f331(f331(f114(f885(x75022,a871)),x75023),x75021))) % 159.04/158.77 [7659]~P107(x76592)+E(x76591,f194(f885(x76592,a871)))+E(x76593,f194(f885(x76592,a871)))+~P104(f331(f62(x76592),x76591))+~P104(f331(f62(x76592),x76593))+E(f331(f331(f242(x76592),f12(x76592,f242(x76592),x76593)),f12(x76592,f242(x76592),x76591)),f12(x76592,f242(x76592),f331(f331(f114(f885(x76592,a871)),x76593),x76591))) % 159.04/158.77 [7660]~P107(x76602)+E(x76601,f194(f885(x76602,a871)))+E(x76603,f194(f885(x76602,a871)))+~P104(f331(f62(x76602),x76601))+~P104(f331(f62(x76602),x76603))+E(f331(f331(f243(x76602),f13(x76602,f243(x76602),x76603)),f13(x76602,f243(x76602),x76601)),f13(x76602,f243(x76602),f331(f331(f114(f885(x76602,a871)),x76603),x76601))) % 159.04/158.77 [8693]~P104(f331(x86931,x86933))+P104(f331(x86931,f417(x86931,x86932)))+P104(f331(x86931,f406(x86931,x86932)))+~P104(f331(f331(f245(a1),f2(a1)),x86932))+~P104(f331(f331(f333(a1),x86933),f301(a1,f78(a1),x86932)))+P104(f331(x86931,f331(f331(f22(a1),f406(x86931,x86932)),f331(f331(f81(a1),f413(x86931,x86932)),x86932)))) % 159.04/158.77 [8991]~P104(f331(x89911,x89913))+~P104(f331(x89911,f406(x89911,x89912)))+P104(f331(x89911,f417(x89911,x89912)))+~P104(f331(f331(f245(a1),f2(a1)),x89912))+~P104(f331(f331(f333(a1),x89913),f301(a1,f78(a1),x89912)))+~P104(f331(x89911,f331(f331(f22(a1),f406(x89911,x89912)),f331(f331(f81(a1),f413(x89911,x89912)),x89912)))) % 159.04/158.77 [10198]~P97(x101982)+E(x101981,f194(f885(x101982,a871)))+E(x101983,f194(f885(x101982,a871)))+~P104(f331(f62(x101982),x101981))+~P104(f331(f62(x101982),x101983))+E(f11(x101982,f331(f250(x101982),f331(f331(f8(f885(x101982,a871),a871,x101982),f87(x101982)),f331(f331(f8(f885(x101982,f885(x101982,a871)),f885(x101982,a871),x101982),f331(f8(f885(x101982,a871),a871,x101982),f87(x101982))),f331(f331(f7(x101982,f885(x101982,f885(x101982,a871)),f885(x101982,f885(x101982,a871))),f331(f331(f8(f885(x101982,f885(f885(x101982,a871),f885(x101982,a871))),f885(f885(x101982,f885(x101982,a871)),f885(x101982,f885(x101982,a871))),x101982),f18(x101982,f885(x101982,a871),f885(x101982,a871))),f331(f331(f8(f885(x101982,f885(x101982,f885(a871,a871))),f885(x101982,f885(f885(x101982,a871),f885(x101982,a871))),x101982),f331(f8(f885(x101982,f885(a871,a871)),f885(f885(x101982,a871),f885(x101982,a871)),x101982),f18(x101982,a871,a871))),f331(f331(f8(f885(x101982,f885(x101982,a871)),f885(x101982,f885(x101982,f885(a871,a871))),x101982),f331(f8(f885(x101982,a871),f885(x101982,f885(a871,a871)),x101982),f331(f8(a871,f885(a871,a871),x101982),a329))),f331(f331(f7(x101982,f885(x101982,f885(x101982,x101982)),f885(x101982,f885(x101982,a871))),f331(f331(f8(f885(f885(x101982,x101982),f885(x101982,a871)),f885(f885(x101982,f885(x101982,x101982)),f885(x101982,f885(x101982,a871))),x101982),f8(f885(x101982,x101982),f885(x101982,a871),x101982)),f331(f331(f8(f885(x101982,a871),f885(f885(x101982,x101982),f885(x101982,a871)),x101982),f8(x101982,a871,x101982)),a328))),f114(x101982)))))),f331(f331(f7(x101982,f885(x101982,a871),f885(x101982,a871)),f331(f331(f8(f885(a871,a871),f885(f885(x101982,a871),f885(x101982,a871)),x101982),f8(a871,a871,x101982)),f331(f331(f8(a871,f885(a871,a871),x101982),a329),f331(f331(f7(x101982,f885(x101982,a871),a871),f333(x101982)),x101983)))),f331(f331(f7(x101982,f885(x101982,a871),a871),f333(x101982)),x101981))))))),f331(f331(f114(x101982),f11(x101982,x101983)),f11(x101982,x101981))) % 159.04/158.77 [10199]~P97(x101992)+E(x101991,f194(f885(x101992,a871)))+E(x101993,f194(f885(x101992,a871)))+~P104(f331(f62(x101992),x101991))+~P104(f331(f62(x101992),x101993))+E(f10(x101992,f331(f250(x101992),f331(f331(f8(f885(x101992,a871),a871,x101992),f87(x101992)),f331(f331(f8(f885(x101992,f885(x101992,a871)),f885(x101992,a871),x101992),f331(f8(f885(x101992,a871),a871,x101992),f87(x101992))),f331(f331(f7(x101992,f885(x101992,f885(x101992,a871)),f885(x101992,f885(x101992,a871))),f331(f331(f8(f885(x101992,f885(f885(x101992,a871),f885(x101992,a871))),f885(f885(x101992,f885(x101992,a871)),f885(x101992,f885(x101992,a871))),x101992),f18(x101992,f885(x101992,a871),f885(x101992,a871))),f331(f331(f8(f885(x101992,f885(x101992,f885(a871,a871))),f885(x101992,f885(f885(x101992,a871),f885(x101992,a871))),x101992),f331(f8(f885(x101992,f885(a871,a871)),f885(f885(x101992,a871),f885(x101992,a871)),x101992),f18(x101992,a871,a871))),f331(f331(f8(f885(x101992,f885(x101992,a871)),f885(x101992,f885(x101992,f885(a871,a871))),x101992),f331(f8(f885(x101992,a871),f885(x101992,f885(a871,a871)),x101992),f331(f8(a871,f885(a871,a871),x101992),a329))),f331(f331(f7(x101992,f885(x101992,f885(x101992,x101992)),f885(x101992,f885(x101992,a871))),f331(f331(f8(f885(f885(x101992,x101992),f885(x101992,a871)),f885(f885(x101992,f885(x101992,x101992)),f885(x101992,f885(x101992,a871))),x101992),f8(f885(x101992,x101992),f885(x101992,a871),x101992)),f331(f331(f8(f885(x101992,a871),f885(f885(x101992,x101992),f885(x101992,a871)),x101992),f8(x101992,a871,x101992)),a328))),f105(x101992)))))),f331(f331(f7(x101992,f885(x101992,a871),f885(x101992,a871)),f331(f331(f8(f885(a871,a871),f885(f885(x101992,a871),f885(x101992,a871)),x101992),f8(a871,a871,x101992)),f331(f331(f8(a871,f885(a871,a871),x101992),a329),f331(f331(f7(x101992,f885(x101992,a871),a871),f333(x101992)),x101993)))),f331(f331(f7(x101992,f885(x101992,a871),a871),f333(x101992)),x101991))))))),f331(f331(f105(x101992),f10(x101992,x101993)),f10(x101992,x101991))) % 159.04/158.77 [10200]~P107(x102002)+E(x102001,f194(f885(x102002,a871)))+E(x102003,f194(f885(x102002,a871)))+~P104(f331(f62(x102002),x102001))+~P104(f331(f62(x102002),x102003))+E(f13(x102002,f243(x102002),f331(f250(x102002),f331(f331(f8(f885(x102002,a871),a871,x102002),f87(x102002)),f331(f331(f8(f885(x102002,f885(x102002,a871)),f885(x102002,a871),x102002),f331(f8(f885(x102002,a871),a871,x102002),f87(x102002))),f331(f331(f7(x102002,f885(x102002,f885(x102002,a871)),f885(x102002,f885(x102002,a871))),f331(f331(f8(f885(x102002,f885(f885(x102002,a871),f885(x102002,a871))),f885(f885(x102002,f885(x102002,a871)),f885(x102002,f885(x102002,a871))),x102002),f18(x102002,f885(x102002,a871),f885(x102002,a871))),f331(f331(f8(f885(x102002,f885(x102002,f885(a871,a871))),f885(x102002,f885(f885(x102002,a871),f885(x102002,a871))),x102002),f331(f8(f885(x102002,f885(a871,a871)),f885(f885(x102002,a871),f885(x102002,a871)),x102002),f18(x102002,a871,a871))),f331(f331(f8(f885(x102002,f885(x102002,a871)),f885(x102002,f885(x102002,f885(a871,a871))),x102002),f331(f8(f885(x102002,a871),f885(x102002,f885(a871,a871)),x102002),f331(f8(a871,f885(a871,a871),x102002),a329))),f331(f331(f7(x102002,f885(x102002,f885(x102002,x102002)),f885(x102002,f885(x102002,a871))),f331(f331(f8(f885(f885(x102002,x102002),f885(x102002,a871)),f885(f885(x102002,f885(x102002,x102002)),f885(x102002,f885(x102002,a871))),x102002),f8(f885(x102002,x102002),f885(x102002,a871),x102002)),f331(f331(f8(f885(x102002,a871),f885(f885(x102002,x102002),f885(x102002,a871)),x102002),f8(x102002,a871,x102002)),a328))),f242(x102002)))))),f331(f331(f7(x102002,f885(x102002,a871),f885(x102002,a871)),f331(f331(f8(f885(a871,a871),f885(f885(x102002,a871),f885(x102002,a871)),x102002),f8(a871,a871,x102002)),f331(f331(f8(a871,f885(a871,a871),x102002),a329),f331(f331(f7(x102002,f885(x102002,a871),a871),f333(x102002)),x102003)))),f331(f331(f7(x102002,f885(x102002,a871),a871),f333(x102002)),x102001))))))),f331(f331(f242(x102002),f13(x102002,f243(x102002),x102003)),f13(x102002,f243(x102002),x102001))) % 159.04/158.77 [10201]~P107(x102012)+E(x102011,f194(f885(x102012,a871)))+E(x102013,f194(f885(x102012,a871)))+~P104(f331(f62(x102012),x102011))+~P104(f331(f62(x102012),x102013))+E(f12(x102012,f242(x102012),f331(f250(x102012),f331(f331(f8(f885(x102012,a871),a871,x102012),f87(x102012)),f331(f331(f8(f885(x102012,f885(x102012,a871)),f885(x102012,a871),x102012),f331(f8(f885(x102012,a871),a871,x102012),f87(x102012))),f331(f331(f7(x102012,f885(x102012,f885(x102012,a871)),f885(x102012,f885(x102012,a871))),f331(f331(f8(f885(x102012,f885(f885(x102012,a871),f885(x102012,a871))),f885(f885(x102012,f885(x102012,a871)),f885(x102012,f885(x102012,a871))),x102012),f18(x102012,f885(x102012,a871),f885(x102012,a871))),f331(f331(f8(f885(x102012,f885(x102012,f885(a871,a871))),f885(x102012,f885(f885(x102012,a871),f885(x102012,a871))),x102012),f331(f8(f885(x102012,f885(a871,a871)),f885(f885(x102012,a871),f885(x102012,a871)),x102012),f18(x102012,a871,a871))),f331(f331(f8(f885(x102012,f885(x102012,a871)),f885(x102012,f885(x102012,f885(a871,a871))),x102012),f331(f8(f885(x102012,a871),f885(x102012,f885(a871,a871)),x102012),f331(f8(a871,f885(a871,a871),x102012),a329))),f331(f331(f7(x102012,f885(x102012,f885(x102012,x102012)),f885(x102012,f885(x102012,a871))),f331(f331(f8(f885(f885(x102012,x102012),f885(x102012,a871)),f885(f885(x102012,f885(x102012,x102012)),f885(x102012,f885(x102012,a871))),x102012),f8(f885(x102012,x102012),f885(x102012,a871),x102012)),f331(f331(f8(f885(x102012,a871),f885(f885(x102012,x102012),f885(x102012,a871)),x102012),f8(x102012,a871,x102012)),a328))),f243(x102012)))))),f331(f331(f7(x102012,f885(x102012,a871),f885(x102012,a871)),f331(f331(f8(f885(a871,a871),f885(f885(x102012,a871),f885(x102012,a871)),x102012),f8(a871,a871,x102012)),f331(f331(f8(a871,f885(a871,a871),x102012),a329),f331(f331(f7(x102012,f885(x102012,a871),a871),f333(x102012)),x102013)))),f331(f331(f7(x102012,f885(x102012,a871),a871),f333(x102012)),x102011))))))),f331(f331(f243(x102012),f12(x102012,f242(x102012),x102013)),f12(x102012,f242(x102012),x102011))) % 159.04/158.77 [7186]~P122(x71863)+E(x71861,x71862)+~E(f331(f331(f255(x71863),x71861),x71864),f331(f331(f255(x71863),x71862),x71864))+~P104(f331(f331(f244(x71863),f2(x71863)),x71862))+~P104(f331(f331(f244(x71863),f2(x71863)),x71861))+~P104(f331(f331(f245(a876),f2(a876)),x71864)) % 159.04/158.77 [7459]~P107(x74592)+E(x74591,f194(f885(x74592,a871)))+~P104(f331(f62(x74592),x74591))+~P104(f331(f331(f333(x74592),x74594),x74591))+P104(f331(f331(f244(x74592),x74593),x74594))+~P104(f331(f331(f244(x74592),x74593),f331(f64(x74592,f242(x74592)),x74591))) % 159.04/158.77 [7460]~P100(x74602)+E(x74601,f194(f885(x74602,a871)))+~P104(f331(f62(x74602),x74601))+~P104(f331(f331(f333(x74602),x74604),x74601))+P104(f331(f331(f244(x74602),x74603),x74604))+~P104(f331(f331(f244(x74602),x74603),f331(f64(x74602,f105(x74602)),x74601))) % 159.04/158.77 [7461]~P107(x74612)+E(x74611,f194(f885(x74612,a871)))+~P104(f331(f62(x74612),x74611))+~P104(f331(f331(f333(x74612),x74614),x74611))+P104(f331(f331(f245(x74612),x74613),x74614))+~P104(f331(f331(f245(x74612),x74613),f331(f64(x74612,f242(x74612)),x74611))) % 159.04/158.77 [7360]E(x73601,f2(a1))+E(f331(f331(f39(a1),x73602),x73601),x73603)+~P104(f331(f331(f244(a1),x73604),f2(a1)))+~E(x73602,f331(f331(f80(a1),f331(f331(f81(a1),x73601),x73603)),x73604))+P104(f331(f331(f245(a1),f2(a1)),x73601))+~P104(f331(f331(f245(a1),x73601),x73604)) % 159.04/158.77 [7375]E(f45(a1,x73752,x73751),x73753)+E(x73751,f2(a1))+~P104(f331(f331(f244(a1),x73753),f2(a1)))+~E(x73752,f331(f331(f80(a1),f331(f331(f81(a1),x73751),x73754)),x73753))+P104(f331(f331(f245(a1),f2(a1)),x73751))+~P104(f331(f331(f245(a1),x73751),x73753)) % 159.04/158.77 [7501]E(x75011,f2(a1))+E(f331(f331(f39(a1),x75012),x75011),x75013)+~E(x75012,f331(f331(f80(a1),f331(f331(f81(a1),x75011),x75013)),x75014))+~P104(f331(f331(f244(a1),f2(a1)),x75014))+~P104(f331(f331(f245(a1),f2(a1)),x75011))+~P104(f331(f331(f245(a1),x75014),x75011)) % 159.04/158.77 [7523]E(f45(a1,x75232,x75231),x75233)+E(x75231,f2(a1))+~E(x75232,f331(f331(f80(a1),f331(f331(f81(a1),x75231),x75234)),x75233))+~P104(f331(f331(f244(a1),f2(a1)),x75233))+~P104(f331(f331(f245(a1),f2(a1)),x75231))+~P104(f331(f331(f245(a1),x75233),x75231)) % 159.04/158.77 [7663]~P107(x76632)+E(x76631,f194(f885(x76632,a871)))+~P104(f331(f62(x76632),x76631))+~P104(f331(f331(f244(x76632),x76634),x76633))+~P104(f331(f331(f333(x76632),x76634),x76631))+P104(f331(f331(f244(x76632),f331(f64(x76632,f242(x76632)),x76631)),x76633)) % 159.04/158.77 [7664]~P107(x76642)+E(x76641,f194(f885(x76642,a871)))+~P104(f331(f62(x76642),x76641))+~P104(f331(f331(f245(x76642),x76644),x76643))+~P104(f331(f331(f333(x76642),x76644),x76641))+P104(f331(f331(f245(x76642),f331(f64(x76642,f242(x76642)),x76641)),x76643)) % 159.04/158.77 [8237]~P104(f331(f331(f244(a1),x82374),f2(a1)))+~E(x82371,f331(f331(f80(a1),f331(f331(f81(a1),x82372),x82373)),x82374))+~P104(f331(f331(f244(a1),f2(a1)),x82374))+~P104(f331(f331(f245(a1),x82374),x82372))+~P104(f331(f331(f245(a1),x82372),x82374))+P104(f331(f49(x82371,x82372),f331(f331(f265(a1,a1),x82373),x82374))) % 159.04/158.77 [9184]~P58(x91843)+~P58(x91844)+E(x91841,x91842)+~E(f331(f195(f877(x91843)),x91842),f331(f195(f877(x91844)),f56(x91844)))+~E(f331(f195(f877(x91843)),x91841),f331(f195(f877(x91844)),f56(x91844)))+~E(f331(f73(f880(x91843),x91843,x91844,f241(x91843)),f331(f178(x91844,x91843),f331(f331(f182(x91844,x91843),f56(x91844)),x91841))),f331(f73(f880(x91843),x91843,x91844,f241(x91843)),f331(f178(x91844,x91843),f331(f331(f182(x91844,x91843),f56(x91844)),x91842)))) % 159.04/158.77 [8402]~P108(x84021)+P104(f331(f331(f245(f885(x84021,a871)),f301(x84021,x84022,x84023)),f301(x84021,x84024,x84025)))+~P104(f331(f331(f244(x84021),x84024),x84022))+~P104(f331(f331(f244(x84021),x84024),x84025))+~P104(f331(f331(f244(x84021),x84023),x84025))+~P104(f331(f331(f245(x84021),x84023),x84025)) % 159.04/158.77 [8403]~P108(x84031)+P104(f331(f331(f245(f885(x84031,a871)),f301(x84031,x84032,x84033)),f301(x84031,x84034,x84035)))+~P104(f331(f331(f244(x84031),x84033),x84035))+~P104(f331(f331(f244(x84031),x84034),x84035))+~P104(f331(f331(f244(x84031),x84034),x84032))+~P104(f331(f331(f245(x84031),x84034),x84032)) % 159.04/158.77 [9251]P56(x92512,x92513,x92514,x92511)+E(x92511,f194(f885(x92512,a871)))+~P104(f331(f62(x92512),x92514))+~P104(f331(f62(x92512),x92511))+~P104(f331(f331(x92513,f682(x92511,x92514,x92513,x92512)),x92515))+~P104(f331(f331(f333(x92512),x92515),x92511)) % 159.04/158.77 [9400]~E(x94003,x94005)+~P68(x94001)+~P69(x94001)+~P41(x94003)+E(f331(f331(f6(a1,x94001),x94002),x94003),f331(f331(f6(a1,x94001),x94004),x94005))+P104(f331(f331(f244(a1),f2(a1)),f470(x94002,x94004,x94003,x94005,x94001))) % 159.04/158.77 [9401]~E(x94013,x94015)+~P68(x94011)+~P69(x94011)+~P41(x94013)+E(f331(f331(f9(a1,x94011),x94012),x94013),f331(f331(f9(a1,x94011),x94014),x94015))+P104(f331(f331(f244(a1),f2(a1)),f435(x94012,x94014,x94013,x94015,x94011))) % 159.04/158.77 [9568]~E(x95685,x95683)+~P68(x95681)+~P69(x95681)+~P41(x95685)+~E(f331(x95682,f470(x95684,x95682,x95685,x95683,x95681)),f331(x95684,f470(x95684,x95682,x95685,x95683,x95681)))+E(f331(f331(f6(a1,x95681),x95682),x95683),f331(f331(f6(a1,x95681),x95684),x95685)) % 159.04/158.77 [9569]~E(x95695,x95693)+~P68(x95691)+~P69(x95691)+~P41(x95695)+~E(f331(x95692,f435(x95694,x95692,x95695,x95693,x95691)),f331(x95694,f435(x95694,x95692,x95695,x95693,x95691)))+E(f331(f331(f9(a1,x95691),x95692),x95693),f331(f331(f9(a1,x95691),x95694),x95695)) % 159.04/158.77 [9657]~P77(x96573)+E(f331(x96571,x96572),f2(x96573))+~E(f331(f331(f6(x96574,x96573),x96571),x96575),f2(x96573))+~P104(f331(f62(x96574),x96575))+P104(f331(f331(f333(x96574),f382(x96572,x96571,x96575,x96574,x96573)),x96575))+~P104(f331(f331(f333(x96574),x96572),x96575)) % 159.04/158.77 [9792]~P77(x97923)+E(f331(x97921,x97922),f2(x97923))+~E(f331(f331(f6(x97924,x97923),x97921),x97925),f2(x97923))+~P104(f331(f62(x97924),x97925))+~P104(f331(f331(f333(x97924),x97922),x97925))+~P104(f331(f331(f244(x97923),f2(x97923)),f331(x97921,f382(x97922,x97921,x97925,x97924,x97923)))) % 159.04/158.77 [8318]~P134(x83181)+~P104(f331(f331(f244(x83181),x83183),x83185))+~P104(f331(f331(f244(x83181),x83182),x83184))+~P104(f331(f331(f244(x83181),f2(x83181)),x83183))+~P104(f331(f331(f244(x83181),f2(x83181)),x83184))+P104(f331(f331(f244(x83181),f331(f331(f81(x83181),x83182),x83183)),f331(f331(f81(x83181),x83184),x83185))) % 159.04/158.77 [8319]~P134(x83191)+~P104(f331(f331(f244(x83191),x83193),x83195))+~P104(f331(f331(f244(x83191),x83192),x83194))+~P104(f331(f331(f244(x83191),f2(x83191)),x83193))+~P104(f331(f331(f244(x83191),f2(x83191)),x83192))+P104(f331(f331(f244(x83191),f331(f331(f81(x83191),x83192),x83193)),f331(f331(f81(x83191),x83194),x83195))) % 159.04/158.77 [8320]~P62(x83201)+~P104(f331(f331(f245(x83201),f2(x83201)),x83205))+~P104(f331(f331(f244(x83201),x83205),x83203))+~P104(f331(f331(f244(x83201),x83202),x83204))+~P104(f331(f331(f244(x83201),f2(x83201)),x83202))+P104(f331(f331(f244(x83201),f331(f331(f288(x83201),x83202),x83203)),f331(f331(f288(x83201),x83204),x83205))) % 159.04/158.77 [8321]~P131(x83211)+~P104(f331(f331(f244(x83211),x83213),x83215))+~P104(f331(f331(f244(x83211),f2(x83211)),x83212))+~P104(f331(f331(f245(x83211),x83212),x83214))+~P104(f331(f331(f245(x83211),f2(x83211)),x83213))+P104(f331(f331(f245(x83211),f331(f331(f81(x83211),x83212),x83213)),f331(f331(f81(x83211),x83214),x83215))) % 159.04/158.77 [8322]~P131(x83221)+~P104(f331(f331(f244(x83221),x83222),x83224))+~P104(f331(f331(f244(x83221),f2(x83221)),x83223))+~P104(f331(f331(f245(x83221),x83223),x83225))+~P104(f331(f331(f245(x83221),f2(x83221)),x83222))+P104(f331(f331(f245(x83221),f331(f331(f81(x83221),x83222),x83223)),f331(f331(f81(x83221),x83224),x83225))) % 159.04/158.77 [8323]~P131(x83231)+~P104(f331(f331(f244(x83231),f2(x83231)),x83233))+~P104(f331(f331(f244(x83231),f2(x83231)),x83232))+~P104(f331(f331(f245(x83231),x83233),x83235))+~P104(f331(f331(f245(x83231),x83232),x83234))+P104(f331(f331(f245(x83231),f331(f331(f81(x83231),x83232),x83233)),f331(f331(f81(x83231),x83234),x83235))) % 159.04/158.77 [8324]~P131(x83241)+~P104(f331(f331(f244(x83241),f2(x83241)),x83243))+~P104(f331(f331(f245(x83241),x83243),x83245))+~P104(f331(f331(f245(x83241),x83242),x83244))+~P104(f331(f331(f245(x83241),f2(x83241)),x83244))+P104(f331(f331(f245(x83241),f331(f331(f81(x83241),x83242),x83243)),f331(f331(f81(x83241),x83244),x83245))) % 159.04/158.77 [8325]~P62(x83251)+~P104(f331(f331(f244(x83251),x83255),x83253))+~P104(f331(f331(f244(x83251),f2(x83251)),x83252))+~P104(f331(f331(f245(x83251),x83252),x83254))+~P104(f331(f331(f245(x83251),f2(x83251)),x83255))+P104(f331(f331(f245(x83251),f331(f331(f288(x83251),x83252),x83253)),f331(f331(f288(x83251),x83254),x83255))) % 159.04/158.77 [8326]~P62(x83261)+~P104(f331(f331(f244(x83261),x83262),x83264))+~P104(f331(f331(f245(x83261),x83265),x83263))+~P104(f331(f331(f245(x83261),f2(x83261)),x83265))+~P104(f331(f331(f245(x83261),f2(x83261)),x83262))+P104(f331(f331(f245(x83261),f331(f331(f288(x83261),x83262),x83263)),f331(f331(f288(x83261),x83264),x83265))) % 159.04/158.77 [9696]~P69(x96965)+~P83(x96965)+E(x96961,f194(f885(x96962,a871)))+~P104(f331(f62(x96962),x96961))+P104(f331(f331(f333(x96962),f846(x96963,x96964,x96961,x96962,x96965)),x96961))+P104(f331(f331(f245(x96965),f331(f331(f6(x96962,x96965),x96964),x96961)),f331(f331(f6(x96962,x96965),x96963),x96961))) % 159.04/158.77 [9814]~P69(x98141)+~P85(x98141)+~P104(f331(f62(x98142),x98145))+~P104(f331(f331(f244(x98141),f2(x98141)),f331(x98143,f344(x98143,x98144,x98145,x98142,x98141))))+P104(f331(f331(f244(x98141),f331(f331(f6(x98142,x98141),x98143),x98144)),f331(f331(f6(x98142,x98141),x98143),x98145)))+~P104(f331(f331(f244(f885(x98142,a871)),x98144),x98145)) % 159.04/158.77 [9982]~P69(x99823)+~P83(x99823)+E(x99821,f194(f885(x99822,a871)))+~P104(f331(f62(x99822),x99821))+~P104(f331(f331(f245(x99823),f331(x99824,f846(x99825,x99824,x99821,x99822,x99823))),f331(x99825,f846(x99825,x99824,x99821,x99822,x99823))))+P104(f331(f331(f245(x99823),f331(f331(f6(x99822,x99823),x99824),x99821)),f331(f331(f6(x99822,x99823),x99825),x99821))) % 159.04/158.77 [7045]~P13(x70452,x70455,x70454)+E(x70451,f194(f885(x70452,a871)))+E(x70453,f194(f885(x70452,a871)))+~P104(f331(f62(x70452),x70451))+~P104(f331(f62(x70452),x70453))+E(f331(x70454,f331(f331(f114(f885(x70452,a871)),x70453),x70451)),f331(f331(x70455,f331(x70454,x70453)),f331(x70454,x70451))) % 159.04/158.77 [7629]~P146(x76291,x76294,x76293)+P104(f331(x76291,x76292))+~P104(f331(f331(f245(a1),x76294),f2(a1)))+~P104(f331(f331(f244(a1),x76295),f2(a1)))+~E(x76293,f331(f331(f80(a1),f331(f331(f81(a1),x76294),x76292)),x76295))+~P104(f331(f331(f245(a1),x76294),x76295)) % 159.04/158.77 [7630]~P145(x76301,x76304,x76303)+P104(f331(x76301,x76302))+~P104(f331(f331(f245(a1),x76304),f2(a1)))+~P104(f331(f331(f244(a1),x76302),f2(a1)))+~E(x76303,f331(f331(f80(a1),f331(f331(f81(a1),x76304),x76305)),x76302))+~P104(f331(f331(f245(a1),x76304),x76302)) % 159.04/158.77 [7672]~P146(x76721,x76724,x76723)+P104(f331(x76721,x76722))+~E(x76723,f331(f331(f80(a1),f331(f331(f81(a1),x76724),x76722)),x76725))+~P104(f331(f331(f244(a1),f2(a1)),x76725))+~P104(f331(f331(f245(a1),f2(a1)),x76724))+~P104(f331(f331(f245(a1),x76725),x76724)) % 159.04/158.77 [7673]~P145(x76731,x76734,x76733)+P104(f331(x76731,x76732))+~E(x76733,f331(f331(f80(a1),f331(f331(f81(a1),x76734),x76735)),x76732))+~P104(f331(f331(f244(a1),f2(a1)),x76732))+~P104(f331(f331(f245(a1),f2(a1)),x76734))+~P104(f331(f331(f245(a1),x76732),x76734)) % 159.04/158.77 [8615]P104(f331(f331(x86151,x86152),x86153))+~P104(f331(f331(x86151,f331(f331(f39(a1),x86154),x86155)),f45(a1,x86154,x86155)))+~P104(f331(f331(f245(a1),x86155),f2(a1)))+~P104(f331(f331(f244(a1),x86153),f2(a1)))+~E(x86154,f331(f331(f80(a1),f331(f331(f81(a1),x86155),x86152)),x86153))+~P104(f331(f331(f245(a1),x86155),x86153)) % 159.04/158.77 [8624]P104(f331(f331(x86241,x86242),x86243))+~P104(f331(f331(x86241,f331(f331(f39(a1),x86244),x86245)),f45(a1,x86244,x86245)))+~E(x86244,f331(f331(f80(a1),f331(f331(f81(a1),x86245),x86242)),x86243))+~P104(f331(f331(f244(a1),f2(a1)),x86243))+~P104(f331(f331(f245(a1),f2(a1)),x86245))+~P104(f331(f331(f245(a1),x86243),x86245)) % 159.04/158.77 [8859]E(x88591,x88592)+~P53(x88593,x88595,x88594)+~P104(f331(f331(f333(x88593),x88592),x88595))+~P104(f331(f331(f333(x88593),x88591),x88595))+P104(f331(f331(f333(f884(x88593,x88593)),f331(f331(f265(x88593,x88593),x88591),x88592)),x88594))+P104(f331(f331(f333(f884(x88593,x88593)),f331(f331(f265(x88593,x88593),x88592),x88591)),x88594)) % 159.04/158.77 [9723]~P69(x97235)+~P85(x97235)+~P104(f331(f62(x97231),x97234))+P104(f331(f331(f244(x97235),f331(f331(f6(x97231,x97235),x97232),x97233)),f331(f331(f6(x97231,x97235),x97232),x97234)))+~P104(f331(f331(f244(f885(x97231,a871)),x97233),x97234))+P104(f331(f331(f333(x97231),f344(x97232,x97233,x97234,x97231,x97235)),f331(f331(f22(f885(x97231,a871)),x97234),x97233))) % 159.04/158.77 [9822]E(x98221,f194(f885(x98222,a871)))+~P104(f331(f62(x98222),x98223))+~P104(f331(f62(x98222),x98221))+P104(f331(f331(f333(f884(f885(x98222,a871),f885(x98222,a871))),f331(f331(f265(f885(x98222,a871),f885(x98222,a871)),x98223),x98221)),f323(x98222,x98224)))+~P104(f331(f331(f333(x98222),x98225),x98221))+~P104(f331(f331(f333(f884(x98222,x98222)),f331(f331(f265(x98222,x98222),f690(x98224,x98221,x98223,x98222)),x98225)),x98224)) % 159.04/158.77 [9823]E(x98231,f194(f885(x98232,a871)))+~P104(f331(f62(x98232),x98233))+~P104(f331(f62(x98232),x98231))+P104(f331(f331(f333(f884(f885(x98232,a871),f885(x98232,a871))),f331(f331(f265(f885(x98232,a871),f885(x98232,a871)),x98233),x98231)),f323(x98232,x98234)))+~P104(f331(f331(f333(x98232),x98235),x98231))+~P104(f331(f331(f333(f884(x98232,x98232)),f331(f331(f265(x98232,x98232),f738(x98234,x98231,x98233,x98232)),x98235)),x98234)) % 159.04/158.77 [9986]~P77(x99861)+~E(f331(f331(f6(x99865,x99861),x99862),x99866),x99864)+~P104(f331(f62(x99865),x99866))+P104(f331(f331(f333(x99865),f383(x99863,x99864,x99862,x99866,x99865,x99861)),x99866))+P104(f331(f331(f244(x99861),f331(x99862,x99863)),x99864))+~P104(f331(f331(f333(x99865),x99863),x99866)) % 159.04/158.77 [10033]~P77(x100331)+~E(f331(f331(f6(x100335,x100331),x100332),x100336),x100334)+~P104(f331(f62(x100335),x100336))+~P104(f331(f331(f333(x100335),x100333),x100336))+~P104(f331(f331(f244(x100331),f2(x100331)),f331(x100332,f383(x100333,x100334,x100332,x100336,x100335,x100331))))+P104(f331(f331(f244(x100331),f331(x100332,x100333)),x100334)) % 159.04/158.77 [10146]~E(x101465,x101468)+~E(x101464,x101467)+~P106(x101461)+~P69(x101462)+E(f331(f331(f6(x101461,x101462),x101463),f331(f300(x101461,x101464),x101465)),f331(f331(f6(x101461,x101462),x101466),f331(f300(x101461,x101467),x101468)))+P104(f331(f331(f244(x101461),x101464),f747(x101463,x101466,x101465,x101468,x101464,x101467,x101461,x101462))) % 159.04/158.77 [10163]~E(x101637,x101634)+~E(x101638,x101635)+~P106(x101631)+~P69(x101632)+~E(f331(x101633,f747(x101636,x101633,x101638,x101635,x101637,x101634,x101631,x101632)),f331(x101636,f747(x101636,x101633,x101638,x101635,x101637,x101634,x101631,x101632)))+E(f331(f331(f6(x101631,x101632),x101633),f331(f300(x101631,x101634),x101635)),f331(f331(f6(x101631,x101632),x101636),f331(f300(x101631,x101637),x101638))) % 159.04/158.77 [10165]~E(x101654,x101657)+~E(x101655,x101658)+~P106(x101651)+~P69(x101652)+E(f331(f331(f6(x101651,x101652),x101653),f331(f300(x101651,x101654),x101655)),f331(f331(f6(x101651,x101652),x101656),f331(f300(x101651,x101657),x101658)))+P104(f331(f331(f245(x101651),f747(x101653,x101656,x101655,x101658,x101654,x101657,x101651,x101652)),x101655)) % 159.04/158.77 [9828]~P3(x98285,x98289,x98286)+~P3(x98281,x982810,x98283)+~P10(x98281,x98285,f885(x98282,a871),x98283,x98286,x98288)+~P104(f331(f331(f333(x98285),x98287),x98289))+~P104(f331(f331(f333(x98281),x98284),x982810))+E(f331(f331(f42(x98281,f885(x98282,a871)),f331(f284(x98281,x98281,x98283),f331(f331(f308(x98281),x98284),f194(f885(x98281,a871))))),f331(f331(f8(f885(x98285,f885(x98282,a871)),f885(x98282,a871),x98281),f331(f42(x98285,f885(x98282,a871)),f331(f284(x98285,x98285,x98286),f331(f331(f308(x98285),x98287),f194(f885(x98285,a871)))))),x98288)),f331(f331(x98288,x98284),x98287)) % 159.04/158.77 [5588]~P107(x55883)+~P30(x55883,x55882)+~P30(x55883,x55881)+E(x55881,x55882)+~E(f331(f172(x55883),x55881),f331(f172(x55883),x55882))+~P104(f331(f136(x55883),x55882))+~P104(f331(f136(x55883),x55881)) % 159.04/158.77 [4926]~P129(x49262)+~P130(x49262)+~P142(x49262)+~P112(x49262)+~E(x49263,f2(x49262))+E(x49261,f2(a876))+E(f331(f331(f255(x49262),x49263),x49261),f2(x49262)) % 159.04/158.77 [9125]E(x91251,f2(a876))+~E(x91252,f331(f331(f80(a876),f331(f331(f81(a876),f331(f264(a876,a876),x91253)),x91251)),f331(f268(a876,a876),x91253)))+P104(f331(f48(x91252,x91251),x91253))+~P104(f331(f331(f244(a876),f331(f268(a876,a876),x91253)),f2(a876)))+~P104(f331(f331(f244(a876),f2(a876)),f331(f268(a876,a876),x91253)))+~P104(f331(f331(f245(a876),x91251),f331(f268(a876,a876),x91253)))+~P104(f331(f331(f245(a876),f331(f268(a876,a876),x91253)),x91251)) % 159.04/158.77 [9134]~E(f331(f264(a876,a876),x91343),f2(a876))+~E(x91341,f331(f331(f80(a876),f331(f331(f81(a876),f331(f264(a876,a876),x91343)),x91342)),f331(f268(a876,a876),x91343)))+P104(f331(f48(x91341,x91342),x91343))+~P104(f331(f331(f244(a876),f331(f268(a876,a876),x91343)),f2(a876)))+~P104(f331(f331(f244(a876),f2(a876)),f331(f268(a876,a876),x91343)))+~P104(f331(f331(f245(a876),x91342),f331(f268(a876,a876),x91343)))+~P104(f331(f331(f245(a876),f331(f268(a876,a876),x91343)),x91342)) % 159.04/158.77 [7984]~P66(x79842)+E(x79841,f194(f885(x79842,a871)))+E(x79843,f194(f885(x79842,a871)))+~P104(f331(f62(x79842),x79841))+~P104(f331(f62(x79842),x79843))+~E(f331(f331(f105(f885(x79842,a871)),x79843),x79841),f194(f885(x79842,a871)))+E(f331(f331(f81(x79842),f331(f64(x79842,f81(x79842)),x79843)),f331(f64(x79842,f81(x79842)),x79841)),f331(f64(x79842,f81(x79842)),f331(f331(f114(f885(x79842,a871)),x79843),x79841))) % 159.04/158.77 [7768]E(x77681,f2(a1))+E(f331(f331(f39(a1),x77682),x77681),x77683)+~P104(f331(f331(f244(a1),x77684),f2(a1)))+~E(x77682,f331(f331(f80(a1),f331(f331(f81(a1),x77681),x77683)),x77684))+~P104(f331(f331(f244(a1),f2(a1)),x77684))+~P104(f331(f331(f245(a1),x77684),x77681))+~P104(f331(f331(f245(a1),x77681),x77684)) % 159.04/158.77 [7775]E(f45(a1,x77752,x77751),x77753)+E(x77751,f2(a1))+~P104(f331(f331(f244(a1),x77753),f2(a1)))+~E(x77752,f331(f331(f80(a1),f331(f331(f81(a1),x77751),x77754)),x77753))+~P104(f331(f331(f244(a1),f2(a1)),x77753))+~P104(f331(f331(f245(a1),x77753),x77751))+~P104(f331(f331(f245(a1),x77751),x77753)) % 159.04/158.77 [7680]~P14(x76802,x76805,x76804)+E(x76801,f194(f885(x76802,a871)))+E(x76803,f194(f885(x76802,a871)))+~P104(f331(f62(x76802),x76801))+~P104(f331(f62(x76802),x76803))+~E(f331(f331(f105(f885(x76802,a871)),x76803),x76801),f194(f885(x76802,a871)))+E(f331(x76804,f331(f331(f114(f885(x76802,a871)),x76803),x76801)),f331(f331(x76805,f331(x76804,x76803)),f331(x76804,x76801))) % 159.04/158.77 [9372]~P21(x93723,x93721,x93725,x93724)+~P21(x93721,x93723,x93726,x93722)+E(f331(f38(x93721),x93722),f331(f38(x93723),x93724))+~P104(f331(f62(x93723),x93724))+~P104(f331(f62(x93721),x93722))+~P104(f331(f331(f244(f885(x93723,a871)),f331(f309(x93721,x93723,x93726),x93722)),x93724))+~P104(f331(f331(f244(f885(x93721,a871)),f331(f309(x93723,x93721,x93725),x93724)),x93722)) % 159.04/158.77 [9316]~P104(f331(f331(f245(a1),f331(f331(f80(a1),f331(f331(f81(a1),x93165),x93161)),x93166)),f2(a1)))+~E(f331(f331(f80(a1),f331(f331(f81(a1),x93163),x93162)),x93164),f331(f331(f80(a1),f331(f331(f81(a1),x93165),x93161)),x93166))+~P104(f331(f331(f244(a1),f2(a1)),x93166))+~P104(f331(f331(f245(a1),f2(a1)),x93165))+~P104(f331(f331(f244(a1),x93165),x93163))+~P104(f331(f331(f245(a1),x93164),x93163))+P104(f331(f331(f244(a1),x93161),x93162)) % 159.04/158.77 [9078]~E(f331(f331(f80(a1),f331(f331(f81(a1),x90783),x90781)),x90784),f331(f331(f80(a1),f331(f331(f81(a1),x90785),x90782)),x90786))+~P104(f331(f331(f244(a1),f2(a1)),x90784))+~P104(f331(f331(f245(a1),f2(a1)),x90785))+~P104(f331(f331(f244(a1),x90785),x90783))+~P104(f331(f331(f245(a1),x90786),x90785))+P104(f331(f331(f244(a1),x90781),x90782))+~P104(f331(f331(f244(a1),f2(a1)),f331(f331(f80(a1),f331(f331(f81(a1),x90785),x90782)),x90786))) % 159.04/158.77 [9257]~P128(x92571)+~E(f331(f331(f80(x92571),x92572),x92574),f78(x92571))+~P104(f331(f331(f244(x92571),x92575),x92576))+~P104(f331(f331(f244(x92571),x92573),x92576))+~P104(f331(f331(f244(x92571),f2(x92571)),x92574))+~P104(f331(f331(f244(x92571),f2(x92571)),x92572))+P104(f331(f331(f244(x92571),f331(f331(f80(x92571),f331(f331(f81(x92571),x92572),x92573)),f331(f331(f81(x92571),x92574),x92575))),x92576)) % 159.04/158.77 [9258]~P126(x92581)+~E(f331(f331(f80(x92581),x92582),x92584),f78(x92581))+~P104(f331(f331(f244(x92581),f2(x92581)),x92584))+~P104(f331(f331(f244(x92581),f2(x92581)),x92582))+~P104(f331(f331(f245(x92581),x92585),x92586))+~P104(f331(f331(f245(x92581),x92583),x92586))+P104(f331(f331(f245(x92581),f331(f331(f80(x92581),f331(f331(f81(x92581),x92582),x92583)),f331(f331(f81(x92581),x92584),x92585))),x92586)) % 159.04/158.77 [10079]~P3(x100797,x100796,x100795)+E(x100791,x100792)+~P9(x100797,f885(x100794,a871),x100795,x100793)+E(f331(x100793,f517(x100791,x100792,x100793,x100794,x100795,x100796,x100797)),f331(x100793,f518(x100791,x100792,x100793,x100794,x100795,x100796,x100797)))+~E(f331(f331(f42(x100797,f885(x100794,a871)),x100791),x100793),f331(f331(f42(x100797,f885(x100794,a871)),x100792),x100793))+~P104(f331(f331(f333(f885(x100797,a871)),x100792),f331(f331(f61(x100797),x100796),x100795)))+~P104(f331(f331(f333(f885(x100797,a871)),x100791),f331(f331(f61(x100797),x100796),x100795))) % 159.04/158.77 [10113]~P3(x101133,x101137,x101136)+E(x101131,x101132)+~P9(x101133,f885(x101135,a871),x101136,x101134)+~E(f331(f331(f42(x101133,f885(x101135,a871)),x101131),x101134),f331(f331(f42(x101133,f885(x101135,a871)),x101132),x101134))+P104(f331(f331(f333(x101133),f518(x101131,x101132,x101134,x101135,x101136,x101137,x101133)),x101137))+~P104(f331(f331(f333(f885(x101133,a871)),x101132),f331(f331(f61(x101133),x101137),x101136)))+~P104(f331(f331(f333(f885(x101133,a871)),x101131),f331(f331(f61(x101133),x101137),x101136))) % 159.04/158.77 [10114]~P3(x101143,x101147,x101146)+E(x101141,x101142)+~P9(x101143,f885(x101145,a871),x101146,x101144)+~E(f331(f331(f42(x101143,f885(x101145,a871)),x101141),x101144),f331(f331(f42(x101143,f885(x101145,a871)),x101142),x101144))+P104(f331(f331(f333(x101143),f517(x101141,x101142,x101144,x101145,x101146,x101147,x101143)),x101147))+~P104(f331(f331(f333(f885(x101143,a871)),x101142),f331(f331(f61(x101143),x101147),x101146)))+~P104(f331(f331(f333(f885(x101143,a871)),x101141),f331(f331(f61(x101143),x101147),x101146))) % 159.04/158.77 [10182]E(x101821,x101822)+~P3(x101823,x101826,x101827)+~P9(x101823,f885(x101824,a871),x101827,x101825)+~E(f331(f331(f42(x101823,f885(x101824,a871)),x101821),x101825),f331(f331(f42(x101823,f885(x101824,a871)),x101822),x101825))+~P104(f331(f331(f333(f884(x101823,x101823)),f331(f331(f265(x101823,x101823),f518(x101821,x101822,x101825,x101824,x101827,x101826,x101823)),f517(x101821,x101822,x101825,x101824,x101827,x101826,x101823))),x101827))+~P104(f331(f331(f333(f885(x101823,a871)),x101822),f331(f331(f61(x101823),x101826),x101827)))+~P104(f331(f331(f333(f885(x101823,a871)),x101821),f331(f331(f61(x101823),x101826),x101827))) % 159.04/158.77 [9077]~P3(x90771,x90777,x90774)+~E(x90775,x90776)+~P104(f331(f331(f333(x90771),x90773),x90776))+~P104(f331(f331(f333(x90771),x90772),x90775))+~P104(f331(f331(f333(f885(x90771,a871)),x90776),f331(f331(f61(x90771),x90777),x90774)))+~P104(f331(f331(f333(f885(x90771,a871)),x90775),f331(f331(f61(x90771),x90777),x90774)))+P104(f331(f331(f333(f884(x90771,x90771)),f331(f331(f265(x90771,x90771),x90772),x90773)),x90774)) % 159.04/158.77 [9212]E(x92121,x92122)+~P3(x92123,x92124,x92125)+~P104(f331(f331(f333(x92123),x92126),x92122))+~P104(f331(f331(f333(x92123),x92127),x92121))+~P104(f331(f331(f333(f885(x92123,a871)),x92122),f331(f331(f61(x92123),x92124),x92125)))+~P104(f331(f331(f333(f885(x92123,a871)),x92121),f331(f331(f61(x92123),x92124),x92125)))+~P104(f331(f331(f333(f884(x92123,x92123)),f331(f331(f265(x92123,x92123),x92127),x92126)),x92125)) % 159.04/158.77 [10205]~P3(x102059,x102058,x102057)+~P3(x102051,x1020511,x1020510)+~P10(x102051,x102059,f885(x102056,a871),x1020510,x102057,x102055)+P104(f331(f331(f333(x102051),f511(x102052,x102053,x102054,x102055,x102056,x102057,x102058,x102059,x1020510,x1020511,x102051)),x1020511))+~P104(f331(f331(f333(f885(x102059,a871)),x102053),f331(f331(f61(x102059),x102058),x102057)))+~P104(f331(f331(f333(f885(x102051,a871)),x102054),f331(f331(f61(x102051),x1020511),x1020510)))+P104(f331(f331(f333(f885(x102056,a871)),f331(f331(f42(x102051,f885(x102056,a871)),x102054),f331(f331(f8(f885(x102059,f885(x102056,a871)),f885(x102056,a871),x102051),f331(f42(x102059,f885(x102056,a871)),x102053)),x102055))),x102052)) % 159.04/158.77 [10206]~P3(x1020611,x1020610,x102069)+~P3(x102061,x102068,x102067)+~P10(x1020611,x102061,f885(x102066,a871),x102069,x102067,x102065)+P104(f331(f331(f333(x102061),f512(x102062,x102063,x102064,x102065,x102066,x102067,x102068,x102061,x102069,x1020610,x1020611)),x102068))+~P104(f331(f331(f333(f885(x1020611,a871)),x102064),f331(f331(f61(x1020611),x1020610),x102069)))+~P104(f331(f331(f333(f885(x102061,a871)),x102063),f331(f331(f61(x102061),x102068),x102067)))+P104(f331(f331(f333(f885(x102066,a871)),f331(f331(f42(x1020611,f885(x102066,a871)),x102064),f331(f331(f8(f885(x102061,f885(x102066,a871)),f885(x102066,a871),x1020611),f331(f42(x102061,f885(x102066,a871)),x102063)),x102065))),x102062)) % 159.04/158.77 [10209]~P3(x102092,x102098,x102099)+~P3(x102094,x1020910,x1020911)+~P10(x102092,x102094,f885(x102091,a871),x102099,x1020911,x102096)+~P104(f331(f331(f333(f885(x102092,a871)),x102093),f331(f331(f61(x102092),x102098),x102099)))+~P104(f331(f331(f333(f885(x102094,a871)),x102095),f331(f331(f61(x102094),x1020910),x1020911)))+~P104(f331(f331(f333(f885(x102091,a871)),f331(f331(x102096,f511(x102097,x102095,x102093,x102096,x102091,x1020911,x1020910,x102094,x102099,x102098,x102092)),f512(x102097,x102095,x102093,x102096,x102091,x1020911,x1020910,x102094,x102099,x102098,x102092))),x102097))+P104(f331(f331(f333(f885(x102091,a871)),f331(f331(f42(x102092,f885(x102091,a871)),x102093),f331(f331(f8(f885(x102094,f885(x102091,a871)),f885(x102091,a871),x102092),f331(f42(x102094,f885(x102091,a871)),x102095)),x102096))),x102097)) % 159.04/158.77 [9112]E(x91121,x91122)+~P107(x91124)+~P21(x91123,x91124,x91125,f331(f331(f114(f885(x91123,a871)),f331(f172(x91123),x91121)),f331(f172(x91123),x91122)))+~E(f331(f172(x91123),x91121),f331(f172(x91123),x91122))+~P30(x91124,f331(f331(f153(x91123,x91124),x91125),x91122))+~P30(x91124,f331(f331(f153(x91123,x91124),x91125),x91121))+~P104(f331(f136(x91124),f331(f331(f153(x91123,x91124),x91125),x91122)))+~P104(f331(f136(x91124),f331(f331(f153(x91123,x91124),x91125),x91121))) % 159.04/158.77 %EqnAxiom % 159.04/158.77 [1]E(x11,x11) % 159.04/158.77 [2]E(x22,x21)+~E(x21,x22) % 159.04/158.77 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 159.04/158.77 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 159.04/158.77 [5]~E(x51,x52)+E(f104(x51),f104(x52)) % 159.04/158.77 [6]~E(x61,x62)+E(f22(x61),f22(x62)) % 159.04/158.77 [7]~E(x71,x72)+E(f194(x71),f194(x72)) % 159.04/158.77 [8]~E(x81,x82)+E(f331(x81,x83),f331(x82,x83)) % 159.04/158.77 [9]~E(x91,x92)+E(f331(x93,x91),f331(x93,x92)) % 159.04/158.77 [10]~E(x101,x102)+E(f31(x101),f31(x102)) % 159.04/158.77 [11]~E(x111,x112)+E(f150(x111),f150(x112)) % 159.04/158.77 [12]~E(x121,x122)+E(f105(x121),f105(x122)) % 159.04/158.77 [13]~E(x131,x132)+E(f242(x131),f242(x132)) % 159.04/158.77 [14]~E(x141,x142)+E(f114(x141),f114(x142)) % 159.04/158.77 [15]~E(x151,x152)+E(f243(x151),f243(x152)) % 159.04/158.77 [16]~E(x161,x162)+E(f106(x161),f106(x162)) % 159.04/158.77 [17]~E(x171,x172)+E(f34(x171),f34(x172)) % 159.04/158.77 [18]~E(x181,x182)+E(f84(x181),f84(x182)) % 159.04/158.77 [19]~E(x191,x192)+E(f885(x191,x193),f885(x192,x193)) % 159.04/158.77 [20]~E(x201,x202)+E(f885(x203,x201),f885(x203,x202)) % 159.04/158.77 [21]~E(x211,x212)+E(f195(x211),f195(x212)) % 159.04/158.77 [22]~E(x221,x222)+E(f512(x221,x223,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212),f512(x222,x223,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212)) % 159.04/158.77 [23]~E(x231,x232)+E(f512(x233,x231,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312),f512(x233,x232,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312)) % 159.04/158.77 [24]~E(x241,x242)+E(f512(x243,x244,x241,x245,x246,x247,x248,x249,x2410,x2411,x2412),f512(x243,x244,x242,x245,x246,x247,x248,x249,x2410,x2411,x2412)) % 159.04/158.77 [25]~E(x251,x252)+E(f512(x253,x254,x255,x251,x256,x257,x258,x259,x2510,x2511,x2512),f512(x253,x254,x255,x252,x256,x257,x258,x259,x2510,x2511,x2512)) % 159.04/158.77 [26]~E(x261,x262)+E(f512(x263,x264,x265,x266,x261,x267,x268,x269,x2610,x2611,x2612),f512(x263,x264,x265,x266,x262,x267,x268,x269,x2610,x2611,x2612)) % 159.04/158.77 [27]~E(x271,x272)+E(f512(x273,x274,x275,x276,x277,x271,x278,x279,x2710,x2711,x2712),f512(x273,x274,x275,x276,x277,x272,x278,x279,x2710,x2711,x2712)) % 159.04/158.77 [28]~E(x281,x282)+E(f512(x283,x284,x285,x286,x287,x288,x281,x289,x2810,x2811,x2812),f512(x283,x284,x285,x286,x287,x288,x282,x289,x2810,x2811,x2812)) % 159.04/158.77 [29]~E(x291,x292)+E(f512(x293,x294,x295,x296,x297,x298,x299,x291,x2910,x2911,x2912),f512(x293,x294,x295,x296,x297,x298,x299,x292,x2910,x2911,x2912)) % 159.04/158.77 [30]~E(x301,x302)+E(f512(x303,x304,x305,x306,x307,x308,x309,x3010,x301,x3011,x3012),f512(x303,x304,x305,x306,x307,x308,x309,x3010,x302,x3011,x3012)) % 159.04/158.77 [31]~E(x311,x312)+E(f512(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x311,x3112),f512(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x312,x3112)) % 159.04/158.77 [32]~E(x321,x322)+E(f512(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x3212,x321),f512(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x3212,x322)) % 159.04/158.77 [33]~E(x331,x332)+E(f78(x331),f78(x332)) % 159.04/158.77 [34]~E(x341,x342)+E(f877(x341),f877(x342)) % 159.04/158.77 [35]~E(x351,x352)+E(f511(x351,x353,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512),f511(x352,x353,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512)) % 159.04/158.77 [36]~E(x361,x362)+E(f511(x363,x361,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612),f511(x363,x362,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612)) % 159.04/158.77 [37]~E(x371,x372)+E(f511(x373,x374,x371,x375,x376,x377,x378,x379,x3710,x3711,x3712),f511(x373,x374,x372,x375,x376,x377,x378,x379,x3710,x3711,x3712)) % 159.04/158.77 [38]~E(x381,x382)+E(f511(x383,x384,x385,x381,x386,x387,x388,x389,x3810,x3811,x3812),f511(x383,x384,x385,x382,x386,x387,x388,x389,x3810,x3811,x3812)) % 159.04/158.77 [39]~E(x391,x392)+E(f511(x393,x394,x395,x396,x391,x397,x398,x399,x3910,x3911,x3912),f511(x393,x394,x395,x396,x392,x397,x398,x399,x3910,x3911,x3912)) % 159.04/158.77 [40]~E(x401,x402)+E(f511(x403,x404,x405,x406,x407,x401,x408,x409,x4010,x4011,x4012),f511(x403,x404,x405,x406,x407,x402,x408,x409,x4010,x4011,x4012)) % 159.04/158.77 [41]~E(x411,x412)+E(f511(x413,x414,x415,x416,x417,x418,x411,x419,x4110,x4111,x4112),f511(x413,x414,x415,x416,x417,x418,x412,x419,x4110,x4111,x4112)) % 159.04/158.77 [42]~E(x421,x422)+E(f511(x423,x424,x425,x426,x427,x428,x429,x421,x4210,x4211,x4212),f511(x423,x424,x425,x426,x427,x428,x429,x422,x4210,x4211,x4212)) % 159.04/158.77 [43]~E(x431,x432)+E(f511(x433,x434,x435,x436,x437,x438,x439,x4310,x431,x4311,x4312),f511(x433,x434,x435,x436,x437,x438,x439,x4310,x432,x4311,x4312)) % 159.04/158.77 [44]~E(x441,x442)+E(f511(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x441,x4412),f511(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x442,x4412)) % 159.04/158.77 [45]~E(x451,x452)+E(f511(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x4512,x451),f511(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x4512,x452)) % 159.04/158.77 [46]~E(x461,x462)+E(f115(x461),f115(x462)) % 159.04/158.77 [47]~E(x471,x472)+E(f333(x471),f333(x472)) % 159.04/158.77 [48]~E(x481,x482)+E(f245(x481),f245(x482)) % 159.04/158.77 [49]~E(x491,x492)+E(f4(x491),f4(x492)) % 159.04/158.77 [50]~E(x501,x502)+E(f180(x501,x503),f180(x502,x503)) % 159.04/158.77 [51]~E(x511,x512)+E(f180(x513,x511),f180(x513,x512)) % 159.04/158.77 [52]~E(x521,x522)+E(f875(x521),f875(x522)) % 159.04/158.77 [53]~E(x531,x532)+E(f880(x531),f880(x532)) % 159.04/158.77 [54]~E(x541,x542)+E(f80(x541),f80(x542)) % 159.04/158.77 [55]~E(x551,x552)+E(f878(x551),f878(x552)) % 159.04/158.77 [56]~E(x561,x562)+E(f72(x561,x563),f72(x562,x563)) % 159.04/158.77 [57]~E(x571,x572)+E(f72(x573,x571),f72(x573,x572)) % 159.04/158.77 [58]~E(x581,x582)+E(f117(x581),f117(x582)) % 159.04/158.77 [59]~E(x591,x592)+E(f844(x591,x593,x594),f844(x592,x593,x594)) % 159.04/158.77 [60]~E(x601,x602)+E(f844(x603,x601,x604),f844(x603,x602,x604)) % 159.04/158.77 [61]~E(x611,x612)+E(f844(x613,x614,x611),f844(x613,x614,x612)) % 159.04/158.77 [62]~E(x621,x622)+E(f884(x621,x623),f884(x622,x623)) % 159.04/158.77 [63]~E(x631,x632)+E(f884(x633,x631),f884(x633,x632)) % 159.04/158.77 [64]~E(x641,x642)+E(f79(x641),f79(x642)) % 159.04/158.77 [65]~E(x651,x652)+E(f155(x651,x653,x654,x655),f155(x652,x653,x654,x655)) % 159.04/158.77 [66]~E(x661,x662)+E(f155(x663,x661,x664,x665),f155(x663,x662,x664,x665)) % 159.04/158.77 [67]~E(x671,x672)+E(f155(x673,x674,x671,x675),f155(x673,x674,x672,x675)) % 159.04/158.77 [68]~E(x681,x682)+E(f155(x683,x684,x685,x681),f155(x683,x684,x685,x682)) % 159.04/158.77 [69]~E(x691,x692)+E(f244(x691),f244(x692)) % 159.04/158.77 [70]~E(x701,x702)+E(f265(x701,x703),f265(x702,x703)) % 159.04/158.77 [71]~E(x711,x712)+E(f265(x713,x711),f265(x713,x712)) % 159.04/158.77 [72]~E(x721,x722)+E(f107(x721),f107(x722)) % 159.04/158.77 [73]~E(x731,x732)+E(f81(x731),f81(x732)) % 159.04/158.77 [74]~E(x741,x742)+E(f9(x741,x743),f9(x742,x743)) % 159.04/158.77 [75]~E(x751,x752)+E(f9(x753,x751),f9(x753,x752)) % 159.04/158.77 [76]~E(x761,x762)+E(f75(x761),f75(x762)) % 159.04/158.77 [77]~E(x771,x772)+E(f172(x771),f172(x772)) % 159.04/158.77 [78]~E(x781,x782)+E(f38(x781),f38(x782)) % 159.04/158.77 [79]~E(x791,x792)+E(f7(x791,x793,x794),f7(x792,x793,x794)) % 159.04/158.77 [80]~E(x801,x802)+E(f7(x803,x801,x804),f7(x803,x802,x804)) % 159.04/158.77 [81]~E(x811,x812)+E(f7(x813,x814,x811),f7(x813,x814,x812)) % 159.04/158.77 [82]~E(x821,x822)+E(f308(x821),f308(x822)) % 159.04/158.77 [83]~E(x831,x832)+E(f62(x831),f62(x832)) % 159.04/158.77 [84]~E(x841,x842)+E(f41(x841,x843),f41(x842,x843)) % 159.04/158.77 [85]~E(x851,x852)+E(f41(x853,x851),f41(x853,x852)) % 159.04/158.77 [86]~E(x861,x862)+E(f45(x861,x863,x864),f45(x862,x863,x864)) % 159.04/158.77 [87]~E(x871,x872)+E(f45(x873,x871,x874),f45(x873,x872,x874)) % 159.04/158.77 [88]~E(x881,x882)+E(f45(x883,x884,x881),f45(x883,x884,x882)) % 159.04/158.77 [89]~E(x891,x892)+E(f63(x891,x893,x894),f63(x892,x893,x894)) % 159.04/158.77 [90]~E(x901,x902)+E(f63(x903,x901,x904),f63(x903,x902,x904)) % 159.04/158.77 [91]~E(x911,x912)+E(f63(x913,x914,x911),f63(x913,x914,x912)) % 159.04/158.77 [92]~E(x921,x922)+E(f147(x921,x923,x924),f147(x922,x923,x924)) % 159.04/158.77 [93]~E(x931,x932)+E(f147(x933,x931,x934),f147(x933,x932,x934)) % 159.04/158.77 [94]~E(x941,x942)+E(f147(x943,x944,x941),f147(x943,x944,x942)) % 159.04/158.77 [95]~E(x951,x952)+E(f61(x951),f61(x952)) % 159.04/158.77 [96]~E(x961,x962)+E(f843(x961,x963),f843(x962,x963)) % 159.04/158.77 [97]~E(x971,x972)+E(f843(x973,x971),f843(x973,x972)) % 159.04/158.77 [98]~E(x981,x982)+E(f253(x981),f253(x982)) % 159.04/158.77 [99]~E(x991,x992)+E(f164(x991),f164(x992)) % 159.04/158.77 [100]~E(x1001,x1002)+E(f58(x1001),f58(x1002)) % 159.04/158.77 [101]~E(x1011,x1012)+E(f16(x1011,x1013),f16(x1012,x1013)) % 159.04/158.77 [102]~E(x1021,x1022)+E(f16(x1023,x1021),f16(x1023,x1022)) % 159.04/158.77 [103]~E(x1031,x1032)+E(f809(x1031,x1033,x1034),f809(x1032,x1033,x1034)) % 159.04/158.77 [104]~E(x1041,x1042)+E(f809(x1043,x1041,x1044),f809(x1043,x1042,x1044)) % 159.04/158.77 [105]~E(x1051,x1052)+E(f809(x1053,x1054,x1051),f809(x1053,x1054,x1052)) % 159.04/158.77 [106]~E(x1061,x1062)+E(f301(x1061,x1063,x1064),f301(x1062,x1063,x1064)) % 159.04/158.77 [107]~E(x1071,x1072)+E(f301(x1073,x1071,x1074),f301(x1073,x1072,x1074)) % 159.04/158.77 [108]~E(x1081,x1082)+E(f301(x1083,x1084,x1081),f301(x1083,x1084,x1082)) % 159.04/158.77 [109]~E(x1091,x1092)+E(f160(x1091,x1093),f160(x1092,x1093)) % 159.04/158.77 [110]~E(x1101,x1102)+E(f160(x1103,x1101),f160(x1103,x1102)) % 159.04/158.77 [111]~E(x1111,x1112)+E(f32(x1111,x1113),f32(x1112,x1113)) % 159.04/158.77 [112]~E(x1121,x1122)+E(f32(x1123,x1121),f32(x1123,x1122)) % 159.04/158.77 [113]~E(x1131,x1132)+E(f8(x1131,x1133,x1134),f8(x1132,x1133,x1134)) % 159.04/158.77 [114]~E(x1141,x1142)+E(f8(x1143,x1141,x1144),f8(x1143,x1142,x1144)) % 159.04/158.77 [115]~E(x1151,x1152)+E(f8(x1153,x1154,x1151),f8(x1153,x1154,x1152)) % 159.04/158.77 [116]~E(x1161,x1162)+E(f175(x1161),f175(x1162)) % 159.04/158.77 [117]~E(x1171,x1172)+E(f40(x1171,x1173),f40(x1172,x1173)) % 159.04/158.77 [118]~E(x1181,x1182)+E(f40(x1183,x1181),f40(x1183,x1182)) % 159.04/158.77 [119]~E(x1191,x1192)+E(f184(x1191,x1193,x1194),f184(x1192,x1193,x1194)) % 159.04/158.77 [120]~E(x1201,x1202)+E(f184(x1203,x1201,x1204),f184(x1203,x1202,x1204)) % 159.04/158.77 [121]~E(x1211,x1212)+E(f184(x1213,x1214,x1211),f184(x1213,x1214,x1212)) % 159.04/158.77 [122]~E(x1221,x1222)+E(f143(x1221,x1223),f143(x1222,x1223)) % 159.04/158.77 [123]~E(x1231,x1232)+E(f143(x1233,x1231),f143(x1233,x1232)) % 159.04/158.77 [124]~E(x1241,x1242)+E(f344(x1241,x1243,x1244,x1245,x1246),f344(x1242,x1243,x1244,x1245,x1246)) % 159.04/158.77 [125]~E(x1251,x1252)+E(f344(x1253,x1251,x1254,x1255,x1256),f344(x1253,x1252,x1254,x1255,x1256)) % 159.04/158.77 [126]~E(x1261,x1262)+E(f344(x1263,x1264,x1261,x1265,x1266),f344(x1263,x1264,x1262,x1265,x1266)) % 159.04/158.77 [127]~E(x1271,x1272)+E(f344(x1273,x1274,x1275,x1271,x1276),f344(x1273,x1274,x1275,x1272,x1276)) % 159.04/158.77 [128]~E(x1281,x1282)+E(f344(x1283,x1284,x1285,x1286,x1281),f344(x1283,x1284,x1285,x1286,x1282)) % 159.04/158.77 [129]~E(x1291,x1292)+E(f299(x1291),f299(x1292)) % 159.04/158.77 [130]~E(x1301,x1302)+E(f87(x1301),f87(x1302)) % 159.04/158.77 [131]~E(x1311,x1312)+E(f255(x1311),f255(x1312)) % 159.04/158.77 [132]~E(x1321,x1322)+E(f309(x1321,x1323,x1324),f309(x1322,x1323,x1324)) % 159.04/158.77 [133]~E(x1331,x1332)+E(f309(x1333,x1331,x1334),f309(x1333,x1332,x1334)) % 159.04/158.77 [134]~E(x1341,x1342)+E(f309(x1343,x1344,x1341),f309(x1343,x1344,x1342)) % 159.04/158.77 [135]~E(x1351,x1352)+E(f153(x1351,x1353),f153(x1352,x1353)) % 159.04/158.77 [136]~E(x1361,x1362)+E(f153(x1363,x1361),f153(x1363,x1362)) % 159.04/158.77 [137]~E(x1371,x1372)+E(f838(x1371,x1373,x1374),f838(x1372,x1373,x1374)) % 159.04/158.77 [138]~E(x1381,x1382)+E(f838(x1383,x1381,x1384),f838(x1383,x1382,x1384)) % 159.04/158.77 [139]~E(x1391,x1392)+E(f838(x1393,x1394,x1391),f838(x1393,x1394,x1392)) % 159.04/158.77 [140]~E(x1401,x1402)+E(f250(x1401),f250(x1402)) % 159.04/158.77 [141]~E(x1411,x1412)+E(f42(x1411,x1413),f42(x1412,x1413)) % 159.04/158.77 [142]~E(x1421,x1422)+E(f42(x1423,x1421),f42(x1423,x1422)) % 159.04/158.77 [143]~E(x1431,x1432)+E(f816(x1431,x1433,x1434),f816(x1432,x1433,x1434)) % 159.04/158.77 [144]~E(x1441,x1442)+E(f816(x1443,x1441,x1444),f816(x1443,x1442,x1444)) % 159.04/158.77 [145]~E(x1451,x1452)+E(f816(x1453,x1454,x1451),f816(x1453,x1454,x1452)) % 159.04/158.77 [146]~E(x1461,x1462)+E(f432(x1461,x1463,x1464),f432(x1462,x1463,x1464)) % 159.04/158.77 [147]~E(x1471,x1472)+E(f432(x1473,x1471,x1474),f432(x1473,x1472,x1474)) % 159.04/158.77 [148]~E(x1481,x1482)+E(f432(x1483,x1484,x1481),f432(x1483,x1484,x1482)) % 159.04/158.77 [149]~E(x1491,x1492)+E(f73(x1491,x1493,x1494,x1495),f73(x1492,x1493,x1494,x1495)) % 159.04/158.77 [150]~E(x1501,x1502)+E(f73(x1503,x1501,x1504,x1505),f73(x1503,x1502,x1504,x1505)) % 159.04/158.77 [151]~E(x1511,x1512)+E(f73(x1513,x1514,x1511,x1515),f73(x1513,x1514,x1512,x1515)) % 159.04/158.77 [152]~E(x1521,x1522)+E(f73(x1523,x1524,x1525,x1521),f73(x1523,x1524,x1525,x1522)) % 159.04/158.77 [153]~E(x1531,x1532)+E(f88(x1531),f88(x1532)) % 159.04/158.77 [154]~E(x1541,x1542)+E(f109(x1541),f109(x1542)) % 159.04/158.77 [155]~E(x1551,x1552)+E(f111(x1551),f111(x1552)) % 159.04/158.77 [156]~E(x1561,x1562)+E(f332(x1561),f332(x1562)) % 159.04/158.77 [157]~E(x1571,x1572)+E(f269(x1571,x1573,x1574),f269(x1572,x1573,x1574)) % 159.04/158.77 [158]~E(x1581,x1582)+E(f269(x1583,x1581,x1584),f269(x1583,x1582,x1584)) % 159.04/158.77 [159]~E(x1591,x1592)+E(f269(x1593,x1594,x1591),f269(x1593,x1594,x1592)) % 159.04/158.77 [160]~E(x1601,x1602)+E(f197(x1601),f197(x1602)) % 159.04/158.77 [161]~E(x1611,x1612)+E(f370(x1611),f370(x1612)) % 159.04/158.77 [162]~E(x1621,x1622)+E(f413(x1621,x1623),f413(x1622,x1623)) % 159.04/158.77 [163]~E(x1631,x1632)+E(f413(x1633,x1631),f413(x1633,x1632)) % 159.04/158.77 [164]~E(x1641,x1642)+E(f141(x1641,x1643,x1644,x1645),f141(x1642,x1643,x1644,x1645)) % 159.04/158.77 [165]~E(x1651,x1652)+E(f141(x1653,x1651,x1654,x1655),f141(x1653,x1652,x1654,x1655)) % 159.04/158.77 [166]~E(x1661,x1662)+E(f141(x1663,x1664,x1661,x1665),f141(x1663,x1664,x1662,x1665)) % 159.04/158.77 [167]~E(x1671,x1672)+E(f141(x1673,x1674,x1675,x1671),f141(x1673,x1674,x1675,x1672)) % 159.04/158.77 [168]~E(x1681,x1682)+E(f5(x1681),f5(x1682)) % 159.04/158.77 [169]~E(x1691,x1692)+E(f126(x1691),f126(x1692)) % 159.04/158.77 [170]~E(x1701,x1702)+E(f727(x1701,x1703,x1704),f727(x1702,x1703,x1704)) % 159.04/158.77 [171]~E(x1711,x1712)+E(f727(x1713,x1711,x1714),f727(x1713,x1712,x1714)) % 159.04/158.77 [172]~E(x1721,x1722)+E(f727(x1723,x1724,x1721),f727(x1723,x1724,x1722)) % 159.04/158.77 [173]~E(x1731,x1732)+E(f18(x1731,x1733,x1734),f18(x1732,x1733,x1734)) % 159.04/158.77 [174]~E(x1741,x1742)+E(f18(x1743,x1741,x1744),f18(x1743,x1742,x1744)) % 159.04/158.77 [175]~E(x1751,x1752)+E(f18(x1753,x1754,x1751),f18(x1753,x1754,x1752)) % 159.04/158.77 [176]~E(x1761,x1762)+E(f86(x1761,x1763),f86(x1762,x1763)) % 159.04/158.77 [177]~E(x1771,x1772)+E(f86(x1773,x1771),f86(x1773,x1772)) % 159.04/158.77 [178]~E(x1781,x1782)+E(f67(x1781,x1783,x1784,x1785,x1786),f67(x1782,x1783,x1784,x1785,x1786)) % 159.04/158.77 [179]~E(x1791,x1792)+E(f67(x1793,x1791,x1794,x1795,x1796),f67(x1793,x1792,x1794,x1795,x1796)) % 159.04/158.77 [180]~E(x1801,x1802)+E(f67(x1803,x1804,x1801,x1805,x1806),f67(x1803,x1804,x1802,x1805,x1806)) % 159.04/158.77 [181]~E(x1811,x1812)+E(f67(x1813,x1814,x1815,x1811,x1816),f67(x1813,x1814,x1815,x1812,x1816)) % 159.04/158.77 [182]~E(x1821,x1822)+E(f67(x1823,x1824,x1825,x1826,x1821),f67(x1823,x1824,x1825,x1826,x1822)) % 159.04/158.77 [183]~E(x1831,x1832)+E(f56(x1831),f56(x1832)) % 159.04/158.77 [184]~E(x1841,x1842)+E(f39(x1841),f39(x1842)) % 159.04/158.77 [185]~E(x1851,x1852)+E(f428(x1851,x1853,x1854),f428(x1852,x1853,x1854)) % 159.04/158.77 [186]~E(x1861,x1862)+E(f428(x1863,x1861,x1864),f428(x1863,x1862,x1864)) % 159.04/158.77 [187]~E(x1871,x1872)+E(f428(x1873,x1874,x1871),f428(x1873,x1874,x1872)) % 159.04/158.77 [188]~E(x1881,x1882)+E(f406(x1881,x1883),f406(x1882,x1883)) % 159.04/158.77 [189]~E(x1891,x1892)+E(f406(x1893,x1891),f406(x1893,x1892)) % 159.04/158.77 [190]~E(x1901,x1902)+E(f287(x1901,x1903,x1904),f287(x1902,x1903,x1904)) % 159.04/158.77 [191]~E(x1911,x1912)+E(f287(x1913,x1911,x1914),f287(x1913,x1912,x1914)) % 159.04/158.77 [192]~E(x1921,x1922)+E(f287(x1923,x1924,x1921),f287(x1923,x1924,x1922)) % 159.04/158.77 [193]~E(x1931,x1932)+E(f136(x1931),f136(x1932)) % 159.04/158.77 [194]~E(x1941,x1942)+E(f156(x1941,x1943),f156(x1942,x1943)) % 159.04/158.77 [195]~E(x1951,x1952)+E(f156(x1953,x1951),f156(x1953,x1952)) % 159.04/158.77 [196]~E(x1961,x1962)+E(f182(x1961,x1963),f182(x1962,x1963)) % 159.04/158.77 [197]~E(x1971,x1972)+E(f182(x1973,x1971),f182(x1973,x1972)) % 159.04/158.77 [198]~E(x1981,x1982)+E(f285(x1981,x1983),f285(x1982,x1983)) % 159.04/158.77 [199]~E(x1991,x1992)+E(f285(x1993,x1991),f285(x1993,x1992)) % 159.04/158.77 [200]~E(x2001,x2002)+E(f818(x2001,x2003,x2004),f818(x2002,x2003,x2004)) % 159.04/158.77 [201]~E(x2011,x2012)+E(f818(x2013,x2011,x2014),f818(x2013,x2012,x2014)) % 159.04/158.77 [202]~E(x2021,x2022)+E(f818(x2023,x2024,x2021),f818(x2023,x2024,x2022)) % 159.04/158.77 [203]~E(x2031,x2032)+E(f797(x2031,x2033,x2034,x2035),f797(x2032,x2033,x2034,x2035)) % 159.04/158.77 [204]~E(x2041,x2042)+E(f797(x2043,x2041,x2044,x2045),f797(x2043,x2042,x2044,x2045)) % 159.04/158.77 [205]~E(x2051,x2052)+E(f797(x2053,x2054,x2051,x2055),f797(x2053,x2054,x2052,x2055)) % 159.04/158.77 [206]~E(x2061,x2062)+E(f797(x2063,x2064,x2065,x2061),f797(x2063,x2064,x2065,x2062)) % 159.04/158.77 [207]~E(x2071,x2072)+E(f264(x2071,x2073),f264(x2072,x2073)) % 159.04/158.77 [208]~E(x2081,x2082)+E(f264(x2083,x2081),f264(x2083,x2082)) % 159.04/158.77 [209]~E(x2091,x2092)+E(f189(x2091,x2093),f189(x2092,x2093)) % 159.04/158.77 [210]~E(x2101,x2102)+E(f189(x2103,x2101),f189(x2103,x2102)) % 159.04/158.77 [211]~E(x2111,x2112)+E(f288(x2111),f288(x2112)) % 159.04/158.77 [212]~E(x2121,x2122)+E(f599(x2121,x2123,x2124,x2125,x2126),f599(x2122,x2123,x2124,x2125,x2126)) % 159.04/158.77 [213]~E(x2131,x2132)+E(f599(x2133,x2131,x2134,x2135,x2136),f599(x2133,x2132,x2134,x2135,x2136)) % 159.04/158.77 [214]~E(x2141,x2142)+E(f599(x2143,x2144,x2141,x2145,x2146),f599(x2143,x2144,x2142,x2145,x2146)) % 159.04/158.77 [215]~E(x2151,x2152)+E(f599(x2153,x2154,x2155,x2151,x2156),f599(x2153,x2154,x2155,x2152,x2156)) % 159.04/158.77 [216]~E(x2161,x2162)+E(f599(x2163,x2164,x2165,x2166,x2161),f599(x2163,x2164,x2165,x2166,x2162)) % 159.04/158.77 [217]~E(x2171,x2172)+E(f588(x2171,x2173,x2174),f588(x2172,x2173,x2174)) % 159.04/158.77 [218]~E(x2181,x2182)+E(f588(x2183,x2181,x2184),f588(x2183,x2182,x2184)) % 159.04/158.77 [219]~E(x2191,x2192)+E(f588(x2193,x2194,x2191),f588(x2193,x2194,x2192)) % 159.04/158.77 [220]~E(x2201,x2202)+E(f55(x2201,x2203,x2204),f55(x2202,x2203,x2204)) % 159.04/158.77 [221]~E(x2211,x2212)+E(f55(x2213,x2211,x2214),f55(x2213,x2212,x2214)) % 159.04/158.77 [222]~E(x2221,x2222)+E(f55(x2223,x2224,x2221),f55(x2223,x2224,x2222)) % 159.04/158.77 [223]~E(x2231,x2232)+E(f6(x2231,x2233),f6(x2232,x2233)) % 159.04/158.77 [224]~E(x2241,x2242)+E(f6(x2243,x2241),f6(x2243,x2242)) % 159.04/158.77 [225]~E(x2251,x2252)+E(f59(x2251),f59(x2252)) % 159.04/158.77 [226]~E(x2261,x2262)+E(f267(x2261,x2263),f267(x2262,x2263)) % 159.04/158.77 [227]~E(x2271,x2272)+E(f267(x2273,x2271),f267(x2273,x2272)) % 159.04/158.77 [228]~E(x2281,x2282)+E(f307(x2281),f307(x2282)) % 159.04/158.77 [229]~E(x2291,x2292)+E(f159(x2291,x2293),f159(x2292,x2293)) % 159.04/158.77 [230]~E(x2301,x2302)+E(f159(x2303,x2301),f159(x2303,x2302)) % 159.04/158.77 [231]~E(x2311,x2312)+E(f66(x2311,x2313,x2314),f66(x2312,x2313,x2314)) % 159.04/158.77 [232]~E(x2321,x2322)+E(f66(x2323,x2321,x2324),f66(x2323,x2322,x2324)) % 159.04/158.77 [233]~E(x2331,x2332)+E(f66(x2333,x2334,x2331),f66(x2333,x2334,x2332)) % 159.04/158.77 [234]~E(x2341,x2342)+E(f367(x2341,x2343,x2344),f367(x2342,x2343,x2344)) % 159.04/158.77 [235]~E(x2351,x2352)+E(f367(x2353,x2351,x2354),f367(x2353,x2352,x2354)) % 159.04/158.77 [236]~E(x2361,x2362)+E(f367(x2363,x2364,x2361),f367(x2363,x2364,x2362)) % 159.04/158.77 [237]~E(x2371,x2372)+E(f310(x2371,x2373,x2374),f310(x2372,x2373,x2374)) % 159.04/158.77 [238]~E(x2381,x2382)+E(f310(x2383,x2381,x2384),f310(x2383,x2382,x2384)) % 159.04/158.77 [239]~E(x2391,x2392)+E(f310(x2393,x2394,x2391),f310(x2393,x2394,x2392)) % 159.04/158.77 [240]~E(x2401,x2402)+E(f504(x2401,x2403,x2404,x2405),f504(x2402,x2403,x2404,x2405)) % 159.04/158.77 [241]~E(x2411,x2412)+E(f504(x2413,x2411,x2414,x2415),f504(x2413,x2412,x2414,x2415)) % 159.04/158.77 [242]~E(x2421,x2422)+E(f504(x2423,x2424,x2421,x2425),f504(x2423,x2424,x2422,x2425)) % 159.04/158.77 [243]~E(x2431,x2432)+E(f504(x2433,x2434,x2435,x2431),f504(x2433,x2434,x2435,x2432)) % 159.04/158.77 [244]~E(x2441,x2442)+E(f236(x2441),f236(x2442)) % 159.04/158.77 [245]~E(x2451,x2452)+E(f30(x2451,x2453,x2454),f30(x2452,x2453,x2454)) % 159.04/158.77 [246]~E(x2461,x2462)+E(f30(x2463,x2461,x2464),f30(x2463,x2462,x2464)) % 159.04/158.77 [247]~E(x2471,x2472)+E(f30(x2473,x2474,x2471),f30(x2473,x2474,x2472)) % 159.04/158.77 [248]~E(x2481,x2482)+E(f68(x2481,x2483,x2484),f68(x2482,x2483,x2484)) % 159.04/158.77 [249]~E(x2491,x2492)+E(f68(x2493,x2491,x2494),f68(x2493,x2492,x2494)) % 159.04/158.77 [250]~E(x2501,x2502)+E(f68(x2503,x2504,x2501),f68(x2503,x2504,x2502)) % 159.04/158.77 [251]~E(x2511,x2512)+E(f623(x2511,x2513,x2514,x2515),f623(x2512,x2513,x2514,x2515)) % 159.04/158.77 [252]~E(x2521,x2522)+E(f623(x2523,x2521,x2524,x2525),f623(x2523,x2522,x2524,x2525)) % 159.04/158.77 [253]~E(x2531,x2532)+E(f623(x2533,x2534,x2531,x2535),f623(x2533,x2534,x2532,x2535)) % 159.04/158.77 [254]~E(x2541,x2542)+E(f623(x2543,x2544,x2545,x2541),f623(x2543,x2544,x2545,x2542)) % 159.04/158.77 [255]~E(x2551,x2552)+E(f663(x2551,x2553,x2554,x2555,x2556),f663(x2552,x2553,x2554,x2555,x2556)) % 159.04/158.77 [256]~E(x2561,x2562)+E(f663(x2563,x2561,x2564,x2565,x2566),f663(x2563,x2562,x2564,x2565,x2566)) % 159.04/158.77 [257]~E(x2571,x2572)+E(f663(x2573,x2574,x2571,x2575,x2576),f663(x2573,x2574,x2572,x2575,x2576)) % 159.04/158.77 [258]~E(x2581,x2582)+E(f663(x2583,x2584,x2585,x2581,x2586),f663(x2583,x2584,x2585,x2582,x2586)) % 159.04/158.77 [259]~E(x2591,x2592)+E(f663(x2593,x2594,x2595,x2596,x2591),f663(x2593,x2594,x2595,x2596,x2592)) % 159.04/158.77 [260]~E(x2601,x2602)+E(f118(x2601,x2603),f118(x2602,x2603)) % 159.04/158.77 [261]~E(x2611,x2612)+E(f118(x2613,x2611),f118(x2613,x2612)) % 159.04/158.77 [262]~E(x2621,x2622)+E(f263(x2621,x2623),f263(x2622,x2623)) % 159.04/158.77 [263]~E(x2631,x2632)+E(f263(x2633,x2631),f263(x2633,x2632)) % 159.04/158.77 [264]~E(x2641,x2642)+E(f146(x2641,x2643),f146(x2642,x2643)) % 159.04/158.77 [265]~E(x2651,x2652)+E(f146(x2653,x2651),f146(x2653,x2652)) % 159.04/158.77 [266]~E(x2661,x2662)+E(f151(x2661,x2663),f151(x2662,x2663)) % 159.04/158.77 [267]~E(x2671,x2672)+E(f151(x2673,x2671),f151(x2673,x2672)) % 159.04/158.77 [268]~E(x2681,x2682)+E(f303(x2681,x2683,x2684),f303(x2682,x2683,x2684)) % 159.04/158.77 [269]~E(x2691,x2692)+E(f303(x2693,x2691,x2694),f303(x2693,x2692,x2694)) % 159.04/158.77 [270]~E(x2701,x2702)+E(f303(x2703,x2704,x2701),f303(x2703,x2704,x2702)) % 159.04/158.77 [271]~E(x2711,x2712)+E(f198(x2711),f198(x2712)) % 159.04/158.77 [272]~E(x2721,x2722)+E(f252(x2721),f252(x2722)) % 159.04/158.77 [273]~E(x2731,x2732)+E(f119(x2731),f119(x2732)) % 159.04/158.77 [274]~E(x2741,x2742)+E(f15(x2741,x2743),f15(x2742,x2743)) % 159.04/158.77 [275]~E(x2751,x2752)+E(f15(x2753,x2751),f15(x2753,x2752)) % 159.04/158.77 [276]~E(x2761,x2762)+E(f639(x2761,x2763,x2764,x2765),f639(x2762,x2763,x2764,x2765)) % 159.04/158.77 [277]~E(x2771,x2772)+E(f639(x2773,x2771,x2774,x2775),f639(x2773,x2772,x2774,x2775)) % 159.04/158.77 [278]~E(x2781,x2782)+E(f639(x2783,x2784,x2781,x2785),f639(x2783,x2784,x2782,x2785)) % 159.04/158.77 [279]~E(x2791,x2792)+E(f639(x2793,x2794,x2795,x2791),f639(x2793,x2794,x2795,x2792)) % 159.04/158.77 [280]~E(x2801,x2802)+E(f817(x2801,x2803,x2804),f817(x2802,x2803,x2804)) % 159.04/158.77 [281]~E(x2811,x2812)+E(f817(x2813,x2811,x2814),f817(x2813,x2812,x2814)) % 159.04/158.77 [282]~E(x2821,x2822)+E(f817(x2823,x2824,x2821),f817(x2823,x2824,x2822)) % 159.04/158.77 [283]~E(x2831,x2832)+E(f201(x2831),f201(x2832)) % 159.04/158.77 [284]~E(x2841,x2842)+E(f259(x2841,x2843,x2844),f259(x2842,x2843,x2844)) % 159.04/158.77 [285]~E(x2851,x2852)+E(f259(x2853,x2851,x2854),f259(x2853,x2852,x2854)) % 159.04/158.77 [286]~E(x2861,x2862)+E(f259(x2863,x2864,x2861),f259(x2863,x2864,x2862)) % 159.04/158.77 [287]~E(x2871,x2872)+E(f137(x2871),f137(x2872)) % 159.04/158.77 [288]~E(x2881,x2882)+E(f14(x2881,x2883),f14(x2882,x2883)) % 159.04/158.77 [289]~E(x2891,x2892)+E(f14(x2893,x2891),f14(x2893,x2892)) % 159.04/158.77 [290]~E(x2901,x2902)+E(f500(x2901,x2903,x2904),f500(x2902,x2903,x2904)) % 159.04/158.77 [291]~E(x2911,x2912)+E(f500(x2913,x2911,x2914),f500(x2913,x2912,x2914)) % 159.04/158.77 [292]~E(x2921,x2922)+E(f500(x2923,x2924,x2921),f500(x2923,x2924,x2922)) % 159.04/158.77 [293]~E(x2931,x2932)+E(f883(x2931,x2933),f883(x2932,x2933)) % 159.04/158.77 [294]~E(x2941,x2942)+E(f883(x2943,x2941),f883(x2943,x2942)) % 159.04/158.77 [295]~E(x2951,x2952)+E(f43(x2951,x2953),f43(x2952,x2953)) % 159.04/158.77 [296]~E(x2961,x2962)+E(f43(x2963,x2961),f43(x2963,x2962)) % 159.04/158.77 [297]~E(x2971,x2972)+E(f49(x2971,x2973),f49(x2972,x2973)) % 159.04/158.77 [298]~E(x2981,x2982)+E(f49(x2983,x2981),f49(x2983,x2982)) % 159.04/158.77 [299]~E(x2991,x2992)+E(f513(x2991,x2993,x2994,x2995),f513(x2992,x2993,x2994,x2995)) % 159.04/158.77 [300]~E(x3001,x3002)+E(f513(x3003,x3001,x3004,x3005),f513(x3003,x3002,x3004,x3005)) % 159.04/158.77 [301]~E(x3011,x3012)+E(f513(x3013,x3014,x3011,x3015),f513(x3013,x3014,x3012,x3015)) % 159.04/158.77 [302]~E(x3021,x3022)+E(f513(x3023,x3024,x3025,x3021),f513(x3023,x3024,x3025,x3022)) % 159.04/158.77 [303]~E(x3031,x3032)+E(f167(x3031),f167(x3032)) % 159.04/158.77 [304]~E(x3041,x3042)+E(f681(x3041,x3043),f681(x3042,x3043)) % 159.04/158.77 [305]~E(x3051,x3052)+E(f681(x3053,x3051),f681(x3053,x3052)) % 159.04/158.77 [306]~E(x3061,x3062)+E(f306(x3061,x3063),f306(x3062,x3063)) % 159.04/158.77 [307]~E(x3071,x3072)+E(f306(x3073,x3071),f306(x3073,x3072)) % 159.04/158.77 [308]~E(x3081,x3082)+E(f317(x3081,x3083,x3084,x3085),f317(x3082,x3083,x3084,x3085)) % 159.04/158.77 [309]~E(x3091,x3092)+E(f317(x3093,x3091,x3094,x3095),f317(x3093,x3092,x3094,x3095)) % 159.04/158.77 [310]~E(x3101,x3102)+E(f317(x3103,x3104,x3101,x3105),f317(x3103,x3104,x3102,x3105)) % 159.04/158.77 [311]~E(x3111,x3112)+E(f317(x3113,x3114,x3115,x3111),f317(x3113,x3114,x3115,x3112)) % 159.04/158.77 [312]~E(x3121,x3122)+E(f171(x3121),f171(x3122)) % 159.04/158.77 [313]~E(x3131,x3132)+E(f196(x3131,x3133,x3134,x3135),f196(x3132,x3133,x3134,x3135)) % 159.04/158.77 [314]~E(x3141,x3142)+E(f196(x3143,x3141,x3144,x3145),f196(x3143,x3142,x3144,x3145)) % 159.04/158.77 [315]~E(x3151,x3152)+E(f196(x3153,x3154,x3151,x3155),f196(x3153,x3154,x3152,x3155)) % 159.04/158.77 [316]~E(x3161,x3162)+E(f196(x3163,x3164,x3165,x3161),f196(x3163,x3164,x3165,x3162)) % 159.04/158.77 [317]~E(x3171,x3172)+E(f178(x3171,x3173),f178(x3172,x3173)) % 159.04/158.77 [318]~E(x3181,x3182)+E(f178(x3183,x3181),f178(x3183,x3182)) % 159.04/158.77 [319]~E(x3191,x3192)+E(f473(x3191,x3193,x3194),f473(x3192,x3193,x3194)) % 159.04/158.77 [320]~E(x3201,x3202)+E(f473(x3203,x3201,x3204),f473(x3203,x3202,x3204)) % 159.04/158.77 [321]~E(x3211,x3212)+E(f473(x3213,x3214,x3211),f473(x3213,x3214,x3212)) % 159.04/158.77 [322]~E(x3221,x3222)+E(f168(x3221),f168(x3222)) % 159.04/158.77 [323]~E(x3231,x3232)+E(f304(x3231,x3233,x3234),f304(x3232,x3233,x3234)) % 159.04/158.77 [324]~E(x3241,x3242)+E(f304(x3243,x3241,x3244),f304(x3243,x3242,x3244)) % 159.04/158.77 [325]~E(x3251,x3252)+E(f304(x3253,x3254,x3251),f304(x3253,x3254,x3252)) % 159.04/158.77 [326]~E(x3261,x3262)+E(f138(x3261,x3263),f138(x3262,x3263)) % 159.04/158.77 [327]~E(x3271,x3272)+E(f138(x3273,x3271),f138(x3273,x3272)) % 159.04/158.77 [328]~E(x3281,x3282)+E(f158(x3281,x3283),f158(x3282,x3283)) % 159.04/158.77 [329]~E(x3291,x3292)+E(f158(x3293,x3291),f158(x3293,x3292)) % 159.04/158.77 [330]~E(x3301,x3302)+E(f667(x3301,x3303,x3304),f667(x3302,x3303,x3304)) % 159.04/158.77 [331]~E(x3311,x3312)+E(f667(x3313,x3311,x3314),f667(x3313,x3312,x3314)) % 159.04/158.77 [332]~E(x3321,x3322)+E(f667(x3323,x3324,x3321),f667(x3323,x3324,x3322)) % 159.04/158.77 [333]~E(x3331,x3332)+E(f65(x3331,x3333,x3334),f65(x3332,x3333,x3334)) % 159.04/158.77 [334]~E(x3341,x3342)+E(f65(x3343,x3341,x3344),f65(x3343,x3342,x3344)) % 159.04/158.77 [335]~E(x3351,x3352)+E(f65(x3353,x3354,x3351),f65(x3353,x3354,x3352)) % 159.04/158.77 [336]~E(x3361,x3362)+E(f363(x3361,x3363),f363(x3362,x3363)) % 159.04/158.77 [337]~E(x3371,x3372)+E(f363(x3373,x3371),f363(x3373,x3372)) % 159.04/158.77 [338]~E(x3381,x3382)+E(f170(x3381,x3383,x3384),f170(x3382,x3383,x3384)) % 159.04/158.77 [339]~E(x3391,x3392)+E(f170(x3393,x3391,x3394),f170(x3393,x3392,x3394)) % 159.04/158.77 [340]~E(x3401,x3402)+E(f170(x3403,x3404,x3401),f170(x3403,x3404,x3402)) % 159.04/158.77 [341]~E(x3411,x3412)+E(f12(x3411,x3413,x3414),f12(x3412,x3413,x3414)) % 159.04/158.77 [342]~E(x3421,x3422)+E(f12(x3423,x3421,x3424),f12(x3423,x3422,x3424)) % 159.04/158.77 [343]~E(x3431,x3432)+E(f12(x3433,x3434,x3431),f12(x3433,x3434,x3432)) % 159.04/158.77 [344]~E(x3441,x3442)+E(f144(x3441,x3443),f144(x3442,x3443)) % 159.04/158.77 [345]~E(x3451,x3452)+E(f144(x3453,x3451),f144(x3453,x3452)) % 159.04/158.77 [346]~E(x3461,x3462)+E(f861(x3461,x3463),f861(x3462,x3463)) % 159.04/158.77 [347]~E(x3471,x3472)+E(f861(x3473,x3471),f861(x3473,x3472)) % 159.04/158.77 [348]~E(x3481,x3482)+E(f322(x3481,x3483),f322(x3482,x3483)) % 159.04/158.77 [349]~E(x3491,x3492)+E(f322(x3493,x3491),f322(x3493,x3492)) % 159.04/158.77 [350]~E(x3501,x3502)+E(f300(x3501,x3503),f300(x3502,x3503)) % 159.04/158.77 [351]~E(x3511,x3512)+E(f300(x3513,x3511),f300(x3513,x3512)) % 159.04/158.77 [352]~E(x3521,x3522)+E(f323(x3521,x3523),f323(x3522,x3523)) % 159.04/158.77 [353]~E(x3531,x3532)+E(f323(x3533,x3531),f323(x3533,x3532)) % 159.04/158.77 [354]~E(x3541,x3542)+E(f100(x3541),f100(x3542)) % 159.04/158.77 [355]~E(x3551,x3552)+E(f29(x3551,x3553,x3554),f29(x3552,x3553,x3554)) % 159.04/158.77 [356]~E(x3561,x3562)+E(f29(x3563,x3561,x3564),f29(x3563,x3562,x3564)) % 159.04/158.77 [357]~E(x3571,x3572)+E(f29(x3573,x3574,x3571),f29(x3573,x3574,x3572)) % 159.04/158.77 [358]~E(x3581,x3582)+E(f142(x3581,x3583),f142(x3582,x3583)) % 159.04/158.77 [359]~E(x3591,x3592)+E(f142(x3593,x3591),f142(x3593,x3592)) % 159.04/158.77 [360]~E(x3601,x3602)+E(f756(x3601,x3603,x3604),f756(x3602,x3603,x3604)) % 159.04/158.77 [361]~E(x3611,x3612)+E(f756(x3613,x3611,x3614),f756(x3613,x3612,x3614)) % 159.04/158.77 [362]~E(x3621,x3622)+E(f756(x3623,x3624,x3621),f756(x3623,x3624,x3622)) % 159.04/158.77 [363]~E(x3631,x3632)+E(f48(x3631,x3633),f48(x3632,x3633)) % 159.04/158.77 [364]~E(x3641,x3642)+E(f48(x3643,x3641),f48(x3643,x3642)) % 159.04/158.77 [365]~E(x3651,x3652)+E(f262(x3651,x3653),f262(x3652,x3653)) % 159.04/158.77 [366]~E(x3661,x3662)+E(f262(x3663,x3661),f262(x3663,x3662)) % 159.04/158.77 [367]~E(x3671,x3672)+E(f463(x3671,x3673,x3674),f463(x3672,x3673,x3674)) % 159.04/158.77 [368]~E(x3681,x3682)+E(f463(x3683,x3681,x3684),f463(x3683,x3682,x3684)) % 159.04/158.77 [369]~E(x3691,x3692)+E(f463(x3693,x3694,x3691),f463(x3693,x3694,x3692)) % 159.04/158.77 [370]~E(x3701,x3702)+E(f544(x3701,x3703,x3704),f544(x3702,x3703,x3704)) % 159.04/158.77 [371]~E(x3711,x3712)+E(f544(x3713,x3711,x3714),f544(x3713,x3712,x3714)) % 159.04/158.77 [372]~E(x3721,x3722)+E(f544(x3723,x3724,x3721),f544(x3723,x3724,x3722)) % 159.04/158.77 [373]~E(x3731,x3732)+E(f221(x3731),f221(x3732)) % 159.04/158.77 [374]~E(x3741,x3742)+E(f431(x3741,x3743,x3744),f431(x3742,x3743,x3744)) % 159.04/158.77 [375]~E(x3751,x3752)+E(f431(x3753,x3751,x3754),f431(x3753,x3752,x3754)) % 159.04/158.77 [376]~E(x3761,x3762)+E(f431(x3763,x3764,x3761),f431(x3763,x3764,x3762)) % 159.04/158.77 [377]~E(x3771,x3772)+E(f347(x3771,x3773,x3774,x3775,x3776,x3777),f347(x3772,x3773,x3774,x3775,x3776,x3777)) % 159.04/158.77 [378]~E(x3781,x3782)+E(f347(x3783,x3781,x3784,x3785,x3786,x3787),f347(x3783,x3782,x3784,x3785,x3786,x3787)) % 159.04/158.77 [379]~E(x3791,x3792)+E(f347(x3793,x3794,x3791,x3795,x3796,x3797),f347(x3793,x3794,x3792,x3795,x3796,x3797)) % 159.04/158.77 [380]~E(x3801,x3802)+E(f347(x3803,x3804,x3805,x3801,x3806,x3807),f347(x3803,x3804,x3805,x3802,x3806,x3807)) % 159.04/158.77 [381]~E(x3811,x3812)+E(f347(x3813,x3814,x3815,x3816,x3811,x3817),f347(x3813,x3814,x3815,x3816,x3812,x3817)) % 159.04/158.77 [382]~E(x3821,x3822)+E(f347(x3823,x3824,x3825,x3826,x3827,x3821),f347(x3823,x3824,x3825,x3826,x3827,x3822)) % 159.04/158.77 [383]~E(x3831,x3832)+E(f177(x3831,x3833,x3834),f177(x3832,x3833,x3834)) % 159.04/158.77 [384]~E(x3841,x3842)+E(f177(x3843,x3841,x3844),f177(x3843,x3842,x3844)) % 159.04/158.77 [385]~E(x3851,x3852)+E(f177(x3853,x3854,x3851),f177(x3853,x3854,x3852)) % 159.04/158.77 [386]~E(x3861,x3862)+E(f324(x3861,x3863,x3864,x3865),f324(x3862,x3863,x3864,x3865)) % 159.04/158.77 [387]~E(x3871,x3872)+E(f324(x3873,x3871,x3874,x3875),f324(x3873,x3872,x3874,x3875)) % 159.04/158.77 [388]~E(x3881,x3882)+E(f324(x3883,x3884,x3881,x3885),f324(x3883,x3884,x3882,x3885)) % 159.04/158.77 [389]~E(x3891,x3892)+E(f324(x3893,x3894,x3895,x3891),f324(x3893,x3894,x3895,x3892)) % 159.04/158.77 [390]~E(x3901,x3902)+E(f91(x3901),f91(x3902)) % 159.04/158.77 [391]~E(x3911,x3912)+E(f386(x3911,x3913),f386(x3912,x3913)) % 159.04/158.77 [392]~E(x3921,x3922)+E(f386(x3923,x3921),f386(x3923,x3922)) % 159.04/158.77 [393]~E(x3931,x3932)+E(f211(x3931),f211(x3932)) % 159.04/158.77 [394]~E(x3941,x3942)+E(f85(x3941,x3943),f85(x3942,x3943)) % 159.04/158.77 [395]~E(x3951,x3952)+E(f85(x3953,x3951),f85(x3953,x3952)) % 159.04/158.77 [396]~E(x3961,x3962)+E(f628(x3961,x3963),f628(x3962,x3963)) % 159.04/158.77 [397]~E(x3971,x3972)+E(f628(x3973,x3971),f628(x3973,x3972)) % 159.04/158.77 [398]~E(x3981,x3982)+E(f90(x3981,x3983),f90(x3982,x3983)) % 159.04/158.77 [399]~E(x3991,x3992)+E(f90(x3993,x3991),f90(x3993,x3992)) % 159.04/158.77 [400]~E(x4001,x4002)+E(f179(x4001,x4003),f179(x4002,x4003)) % 159.04/158.77 [401]~E(x4011,x4012)+E(f179(x4013,x4011),f179(x4013,x4012)) % 159.04/158.77 [402]~E(x4021,x4022)+E(f152(x4021,x4023),f152(x4022,x4023)) % 159.04/158.77 [403]~E(x4031,x4032)+E(f152(x4033,x4031),f152(x4033,x4032)) % 159.04/158.77 [404]~E(x4041,x4042)+E(f125(x4041),f125(x4042)) % 159.04/158.77 [405]~E(x4051,x4052)+E(f190(x4051,x4053,x4054),f190(x4052,x4053,x4054)) % 159.04/158.77 [406]~E(x4061,x4062)+E(f190(x4063,x4061,x4064),f190(x4063,x4062,x4064)) % 159.04/158.77 [407]~E(x4071,x4072)+E(f190(x4073,x4074,x4071),f190(x4073,x4074,x4072)) % 159.04/158.77 [408]~E(x4081,x4082)+E(f284(x4081,x4083,x4084),f284(x4082,x4083,x4084)) % 159.04/158.77 [409]~E(x4091,x4092)+E(f284(x4093,x4091,x4094),f284(x4093,x4092,x4094)) % 159.04/158.77 [410]~E(x4101,x4102)+E(f284(x4103,x4104,x4101),f284(x4103,x4104,x4102)) % 159.04/158.77 [411]~E(x4111,x4112)+E(f312(x4111,x4113,x4114),f312(x4112,x4113,x4114)) % 159.04/158.77 [412]~E(x4121,x4122)+E(f312(x4123,x4121,x4124),f312(x4123,x4122,x4124)) % 159.04/158.77 [413]~E(x4131,x4132)+E(f312(x4133,x4134,x4131),f312(x4133,x4134,x4132)) % 159.04/158.77 [414]~E(x4141,x4142)+E(f840(x4141,x4143,x4144),f840(x4142,x4143,x4144)) % 159.04/158.77 [415]~E(x4151,x4152)+E(f840(x4153,x4151,x4154),f840(x4153,x4152,x4154)) % 159.04/158.77 [416]~E(x4161,x4162)+E(f840(x4163,x4164,x4161),f840(x4163,x4164,x4162)) % 159.04/158.77 [417]~E(x4171,x4172)+E(f135(x4171,x4173),f135(x4172,x4173)) % 159.04/158.77 [418]~E(x4181,x4182)+E(f135(x4183,x4181),f135(x4183,x4182)) % 159.04/158.77 [419]~E(x4191,x4192)+E(f598(x4191,x4193,x4194,x4195,x4196),f598(x4192,x4193,x4194,x4195,x4196)) % 159.04/158.77 [420]~E(x4201,x4202)+E(f598(x4203,x4201,x4204,x4205,x4206),f598(x4203,x4202,x4204,x4205,x4206)) % 159.04/158.77 [421]~E(x4211,x4212)+E(f598(x4213,x4214,x4211,x4215,x4216),f598(x4213,x4214,x4212,x4215,x4216)) % 159.04/158.77 [422]~E(x4221,x4222)+E(f598(x4223,x4224,x4225,x4221,x4226),f598(x4223,x4224,x4225,x4222,x4226)) % 159.04/158.77 [423]~E(x4231,x4232)+E(f598(x4233,x4234,x4235,x4236,x4231),f598(x4233,x4234,x4235,x4236,x4232)) % 159.04/158.77 [424]~E(x4241,x4242)+E(f204(x4241,x4243,x4244,x4245),f204(x4242,x4243,x4244,x4245)) % 159.04/158.77 [425]~E(x4251,x4252)+E(f204(x4253,x4251,x4254,x4255),f204(x4253,x4252,x4254,x4255)) % 159.04/158.77 [426]~E(x4261,x4262)+E(f204(x4263,x4264,x4261,x4265),f204(x4263,x4264,x4262,x4265)) % 159.04/158.77 [427]~E(x4271,x4272)+E(f204(x4273,x4274,x4275,x4271),f204(x4273,x4274,x4275,x4272)) % 159.04/158.77 [428]~E(x4281,x4282)+E(f239(x4281,x4283,x4284,x4285),f239(x4282,x4283,x4284,x4285)) % 159.04/158.77 [429]~E(x4291,x4292)+E(f239(x4293,x4291,x4294,x4295),f239(x4293,x4292,x4294,x4295)) % 159.04/158.77 [430]~E(x4301,x4302)+E(f239(x4303,x4304,x4301,x4305),f239(x4303,x4304,x4302,x4305)) % 159.04/158.77 [431]~E(x4311,x4312)+E(f239(x4313,x4314,x4315,x4311),f239(x4313,x4314,x4315,x4312)) % 159.04/158.77 [432]~E(x4321,x4322)+E(f92(x4321),f92(x4322)) % 159.04/158.77 [433]~E(x4331,x4332)+E(f50(x4331,x4333),f50(x4332,x4333)) % 159.04/158.77 [434]~E(x4341,x4342)+E(f50(x4343,x4341),f50(x4343,x4342)) % 159.04/158.77 [435]~E(x4351,x4352)+E(f176(x4351,x4353,x4354),f176(x4352,x4353,x4354)) % 159.04/158.77 [436]~E(x4361,x4362)+E(f176(x4363,x4361,x4364),f176(x4363,x4362,x4364)) % 159.04/158.77 [437]~E(x4371,x4372)+E(f176(x4373,x4374,x4371),f176(x4373,x4374,x4372)) % 159.04/158.77 [438]~E(x4381,x4382)+E(f471(x4381,x4383,x4384),f471(x4382,x4383,x4384)) % 159.04/158.77 [439]~E(x4391,x4392)+E(f471(x4393,x4391,x4394),f471(x4393,x4392,x4394)) % 159.04/158.77 [440]~E(x4401,x4402)+E(f471(x4403,x4404,x4401),f471(x4403,x4404,x4402)) % 159.04/158.77 [441]~E(x4411,x4412)+E(f808(x4411,x4413,x4414),f808(x4412,x4413,x4414)) % 159.04/158.77 [442]~E(x4421,x4422)+E(f808(x4423,x4421,x4424),f808(x4423,x4422,x4424)) % 159.04/158.77 [443]~E(x4431,x4432)+E(f808(x4433,x4434,x4431),f808(x4433,x4434,x4432)) % 159.04/158.77 [444]~E(x4441,x4442)+E(f411(x4441,x4443,x4444,x4445),f411(x4442,x4443,x4444,x4445)) % 159.04/158.77 [445]~E(x4451,x4452)+E(f411(x4453,x4451,x4454,x4455),f411(x4453,x4452,x4454,x4455)) % 159.04/158.77 [446]~E(x4461,x4462)+E(f411(x4463,x4464,x4461,x4465),f411(x4463,x4464,x4462,x4465)) % 159.04/158.77 [447]~E(x4471,x4472)+E(f411(x4473,x4474,x4475,x4471),f411(x4473,x4474,x4475,x4472)) % 159.04/158.77 [448]~E(x4481,x4482)+E(f732(x4481,x4483,x4484,x4485,x4486),f732(x4482,x4483,x4484,x4485,x4486)) % 159.04/158.77 [449]~E(x4491,x4492)+E(f732(x4493,x4491,x4494,x4495,x4496),f732(x4493,x4492,x4494,x4495,x4496)) % 159.04/158.77 [450]~E(x4501,x4502)+E(f732(x4503,x4504,x4501,x4505,x4506),f732(x4503,x4504,x4502,x4505,x4506)) % 159.04/158.77 [451]~E(x4511,x4512)+E(f732(x4513,x4514,x4515,x4511,x4516),f732(x4513,x4514,x4515,x4512,x4516)) % 159.04/158.77 [452]~E(x4521,x4522)+E(f732(x4523,x4524,x4525,x4526,x4521),f732(x4523,x4524,x4525,x4526,x4522)) % 159.04/158.77 [453]~E(x4531,x4532)+E(f276(x4531,x4533),f276(x4532,x4533)) % 159.04/158.77 [454]~E(x4541,x4542)+E(f276(x4543,x4541),f276(x4543,x4542)) % 159.04/158.77 [455]~E(x4551,x4552)+E(f187(x4551,x4553,x4554,x4555,x4556),f187(x4552,x4553,x4554,x4555,x4556)) % 159.04/158.77 [456]~E(x4561,x4562)+E(f187(x4563,x4561,x4564,x4565,x4566),f187(x4563,x4562,x4564,x4565,x4566)) % 159.04/158.77 [457]~E(x4571,x4572)+E(f187(x4573,x4574,x4571,x4575,x4576),f187(x4573,x4574,x4572,x4575,x4576)) % 159.04/158.77 [458]~E(x4581,x4582)+E(f187(x4583,x4584,x4585,x4581,x4586),f187(x4583,x4584,x4585,x4582,x4586)) % 159.04/158.77 [459]~E(x4591,x4592)+E(f187(x4593,x4594,x4595,x4596,x4591),f187(x4593,x4594,x4595,x4596,x4592)) % 159.04/158.77 [460]~E(x4601,x4602)+E(f11(x4601,x4603),f11(x4602,x4603)) % 159.04/158.77 [461]~E(x4611,x4612)+E(f11(x4613,x4611),f11(x4613,x4612)) % 159.04/158.77 [462]~E(x4621,x4622)+E(f10(x4621,x4623),f10(x4622,x4623)) % 159.04/158.77 [463]~E(x4631,x4632)+E(f10(x4633,x4631),f10(x4633,x4632)) % 159.04/158.77 [464]~E(x4641,x4642)+E(f469(x4641,x4643,x4644),f469(x4642,x4643,x4644)) % 159.04/158.77 [465]~E(x4651,x4652)+E(f469(x4653,x4651,x4654),f469(x4653,x4652,x4654)) % 159.04/158.77 [466]~E(x4661,x4662)+E(f469(x4663,x4664,x4661),f469(x4663,x4664,x4662)) % 159.04/158.77 [467]~E(x4671,x4672)+E(f319(x4671,x4673),f319(x4672,x4673)) % 159.04/158.77 [468]~E(x4681,x4682)+E(f319(x4683,x4681),f319(x4683,x4682)) % 159.04/158.77 [469]~E(x4691,x4692)+E(f708(x4691,x4693,x4694),f708(x4692,x4693,x4694)) % 159.04/158.77 [470]~E(x4701,x4702)+E(f708(x4703,x4701,x4704),f708(x4703,x4702,x4704)) % 159.04/158.77 [471]~E(x4711,x4712)+E(f708(x4713,x4714,x4711),f708(x4713,x4714,x4712)) % 159.04/158.77 [472]~E(x4721,x4722)+E(f188(x4721,x4723,x4724,x4725),f188(x4722,x4723,x4724,x4725)) % 159.04/158.77 [473]~E(x4731,x4732)+E(f188(x4733,x4731,x4734,x4735),f188(x4733,x4732,x4734,x4735)) % 159.04/158.77 [474]~E(x4741,x4742)+E(f188(x4743,x4744,x4741,x4745),f188(x4743,x4744,x4742,x4745)) % 159.04/158.77 [475]~E(x4751,x4752)+E(f188(x4753,x4754,x4755,x4751),f188(x4753,x4754,x4755,x4752)) % 159.04/158.77 [476]~E(x4761,x4762)+E(f148(x4761,x4763,x4764,x4765,x4766),f148(x4762,x4763,x4764,x4765,x4766)) % 159.04/158.77 [477]~E(x4771,x4772)+E(f148(x4773,x4771,x4774,x4775,x4776),f148(x4773,x4772,x4774,x4775,x4776)) % 159.04/158.77 [478]~E(x4781,x4782)+E(f148(x4783,x4784,x4781,x4785,x4786),f148(x4783,x4784,x4782,x4785,x4786)) % 159.04/158.77 [479]~E(x4791,x4792)+E(f148(x4793,x4794,x4795,x4791,x4796),f148(x4793,x4794,x4795,x4792,x4796)) % 159.04/158.77 [480]~E(x4801,x4802)+E(f148(x4803,x4804,x4805,x4806,x4801),f148(x4803,x4804,x4805,x4806,x4802)) % 159.04/158.77 [481]~E(x4811,x4812)+E(f443(x4811,x4813,x4814),f443(x4812,x4813,x4814)) % 159.04/158.77 [482]~E(x4821,x4822)+E(f443(x4823,x4821,x4824),f443(x4823,x4822,x4824)) % 159.04/158.77 [483]~E(x4831,x4832)+E(f443(x4833,x4834,x4831),f443(x4833,x4834,x4832)) % 159.04/158.77 [484]~E(x4841,x4842)+E(f13(x4841,x4843,x4844),f13(x4842,x4843,x4844)) % 159.04/158.77 [485]~E(x4851,x4852)+E(f13(x4853,x4851,x4854),f13(x4853,x4852,x4854)) % 159.04/158.77 [486]~E(x4861,x4862)+E(f13(x4863,x4864,x4861),f13(x4863,x4864,x4862)) % 159.04/158.77 [487]~E(x4871,x4872)+E(f819(x4871,x4873,x4874),f819(x4872,x4873,x4874)) % 159.04/158.77 [488]~E(x4881,x4882)+E(f819(x4883,x4881,x4884),f819(x4883,x4882,x4884)) % 159.04/158.77 [489]~E(x4891,x4892)+E(f819(x4893,x4894,x4891),f819(x4893,x4894,x4892)) % 159.04/158.77 [490]~E(x4901,x4902)+E(f251(x4901),f251(x4902)) % 159.04/158.77 [491]~E(x4911,x4912)+E(f305(x4911),f305(x4912)) % 159.04/158.77 [492]~E(x4921,x4922)+E(f404(x4921,x4923,x4924),f404(x4922,x4923,x4924)) % 159.04/158.77 [493]~E(x4931,x4932)+E(f404(x4933,x4931,x4934),f404(x4933,x4932,x4934)) % 159.04/158.77 [494]~E(x4941,x4942)+E(f404(x4943,x4944,x4941),f404(x4943,x4944,x4942)) % 159.04/158.77 [495]~E(x4951,x4952)+E(f350(x4951,x4953,x4954),f350(x4952,x4953,x4954)) % 159.04/158.77 [496]~E(x4961,x4962)+E(f350(x4963,x4961,x4964),f350(x4963,x4962,x4964)) % 159.04/158.77 [497]~E(x4971,x4972)+E(f350(x4973,x4974,x4971),f350(x4973,x4974,x4972)) % 159.04/158.77 [498]~E(x4981,x4982)+E(f124(x4981,x4983,x4984,x4985),f124(x4982,x4983,x4984,x4985)) % 159.04/158.77 [499]~E(x4991,x4992)+E(f124(x4993,x4991,x4994,x4995),f124(x4993,x4992,x4994,x4995)) % 159.04/158.77 [500]~E(x5001,x5002)+E(f124(x5003,x5004,x5001,x5005),f124(x5003,x5004,x5002,x5005)) % 159.04/158.77 [501]~E(x5011,x5012)+E(f124(x5013,x5014,x5015,x5011),f124(x5013,x5014,x5015,x5012)) % 159.04/158.77 [502]~E(x5021,x5022)+E(f76(x5021,x5023,x5024,x5025,x5026),f76(x5022,x5023,x5024,x5025,x5026)) % 159.04/158.77 [503]~E(x5031,x5032)+E(f76(x5033,x5031,x5034,x5035,x5036),f76(x5033,x5032,x5034,x5035,x5036)) % 159.04/158.77 [504]~E(x5041,x5042)+E(f76(x5043,x5044,x5041,x5045,x5046),f76(x5043,x5044,x5042,x5045,x5046)) % 159.04/158.77 [505]~E(x5051,x5052)+E(f76(x5053,x5054,x5055,x5051,x5056),f76(x5053,x5054,x5055,x5052,x5056)) % 159.04/158.77 [506]~E(x5061,x5062)+E(f76(x5063,x5064,x5065,x5066,x5061),f76(x5063,x5064,x5065,x5066,x5062)) % 159.04/158.77 [507]~E(x5071,x5072)+E(f149(x5071,x5073,x5074,x5075),f149(x5072,x5073,x5074,x5075)) % 159.04/158.77 [508]~E(x5081,x5082)+E(f149(x5083,x5081,x5084,x5085),f149(x5083,x5082,x5084,x5085)) % 159.04/158.77 [509]~E(x5091,x5092)+E(f149(x5093,x5094,x5091,x5095),f149(x5093,x5094,x5092,x5095)) % 159.04/158.77 [510]~E(x5101,x5102)+E(f149(x5103,x5104,x5105,x5101),f149(x5103,x5104,x5105,x5102)) % 159.04/158.77 [511]~E(x5111,x5112)+E(f224(x5111,x5113),f224(x5112,x5113)) % 159.04/158.77 [512]~E(x5121,x5122)+E(f224(x5123,x5121),f224(x5123,x5122)) % 159.04/158.77 [513]~E(x5131,x5132)+E(f64(x5131,x5133),f64(x5132,x5133)) % 159.04/158.77 [514]~E(x5141,x5142)+E(f64(x5143,x5141),f64(x5143,x5142)) % 159.04/158.77 [515]~E(x5151,x5152)+E(f392(x5151,x5153,x5154,x5155),f392(x5152,x5153,x5154,x5155)) % 159.04/158.77 [516]~E(x5161,x5162)+E(f392(x5163,x5161,x5164,x5165),f392(x5163,x5162,x5164,x5165)) % 159.04/158.77 [517]~E(x5171,x5172)+E(f392(x5173,x5174,x5171,x5175),f392(x5173,x5174,x5172,x5175)) % 159.04/158.77 [518]~E(x5181,x5182)+E(f392(x5183,x5184,x5185,x5181),f392(x5183,x5184,x5185,x5182)) % 159.04/158.77 [519]~E(x5191,x5192)+E(f231(x5191,x5193,x5194,x5195),f231(x5192,x5193,x5194,x5195)) % 159.04/158.77 [520]~E(x5201,x5202)+E(f231(x5203,x5201,x5204,x5205),f231(x5203,x5202,x5204,x5205)) % 159.04/158.77 [521]~E(x5211,x5212)+E(f231(x5213,x5214,x5211,x5215),f231(x5213,x5214,x5212,x5215)) % 159.04/158.77 [522]~E(x5221,x5222)+E(f231(x5223,x5224,x5225,x5221),f231(x5223,x5224,x5225,x5222)) % 159.04/158.77 [523]~E(x5231,x5232)+E(f583(x5231,x5233,x5234,x5235),f583(x5232,x5233,x5234,x5235)) % 159.04/158.77 [524]~E(x5241,x5242)+E(f583(x5243,x5241,x5244,x5245),f583(x5243,x5242,x5244,x5245)) % 159.04/158.77 [525]~E(x5251,x5252)+E(f583(x5253,x5254,x5251,x5255),f583(x5253,x5254,x5252,x5255)) % 159.04/158.77 [526]~E(x5261,x5262)+E(f583(x5263,x5264,x5265,x5261),f583(x5263,x5264,x5265,x5262)) % 159.04/158.77 [527]~E(x5271,x5272)+E(f555(x5271,x5273,x5274,x5275),f555(x5272,x5273,x5274,x5275)) % 159.04/158.77 [528]~E(x5281,x5282)+E(f555(x5283,x5281,x5284,x5285),f555(x5283,x5282,x5284,x5285)) % 159.04/158.77 [529]~E(x5291,x5292)+E(f555(x5293,x5294,x5291,x5295),f555(x5293,x5294,x5292,x5295)) % 159.04/158.77 [530]~E(x5301,x5302)+E(f555(x5303,x5304,x5305,x5301),f555(x5303,x5304,x5305,x5302)) % 159.04/158.77 [531]~E(x5311,x5312)+E(f268(x5311,x5313),f268(x5312,x5313)) % 159.04/158.77 [532]~E(x5321,x5322)+E(f268(x5323,x5321),f268(x5323,x5322)) % 159.04/158.77 [533]~E(x5331,x5332)+E(f825(x5331,x5333,x5334,x5335,x5336),f825(x5332,x5333,x5334,x5335,x5336)) % 159.04/158.77 [534]~E(x5341,x5342)+E(f825(x5343,x5341,x5344,x5345,x5346),f825(x5343,x5342,x5344,x5345,x5346)) % 159.04/158.77 [535]~E(x5351,x5352)+E(f825(x5353,x5354,x5351,x5355,x5356),f825(x5353,x5354,x5352,x5355,x5356)) % 159.04/158.77 [536]~E(x5361,x5362)+E(f825(x5363,x5364,x5365,x5361,x5366),f825(x5363,x5364,x5365,x5362,x5366)) % 159.04/158.77 [537]~E(x5371,x5372)+E(f825(x5373,x5374,x5375,x5376,x5371),f825(x5373,x5374,x5375,x5376,x5372)) % 159.04/158.77 [538]~E(x5381,x5382)+E(f270(x5381,x5383,x5384,x5385,x5386,x5387),f270(x5382,x5383,x5384,x5385,x5386,x5387)) % 159.04/158.77 [539]~E(x5391,x5392)+E(f270(x5393,x5391,x5394,x5395,x5396,x5397),f270(x5393,x5392,x5394,x5395,x5396,x5397)) % 159.04/158.77 [540]~E(x5401,x5402)+E(f270(x5403,x5404,x5401,x5405,x5406,x5407),f270(x5403,x5404,x5402,x5405,x5406,x5407)) % 159.04/158.77 [541]~E(x5411,x5412)+E(f270(x5413,x5414,x5415,x5411,x5416,x5417),f270(x5413,x5414,x5415,x5412,x5416,x5417)) % 159.04/158.77 [542]~E(x5421,x5422)+E(f270(x5423,x5424,x5425,x5426,x5421,x5427),f270(x5423,x5424,x5425,x5426,x5422,x5427)) % 159.04/158.77 [543]~E(x5431,x5432)+E(f270(x5433,x5434,x5435,x5436,x5437,x5431),f270(x5433,x5434,x5435,x5436,x5437,x5432)) % 159.04/158.77 [544]~E(x5441,x5442)+E(f654(x5441,x5443,x5444),f654(x5442,x5443,x5444)) % 159.04/158.77 [545]~E(x5451,x5452)+E(f654(x5453,x5451,x5454),f654(x5453,x5452,x5454)) % 159.04/158.77 [546]~E(x5461,x5462)+E(f654(x5463,x5464,x5461),f654(x5463,x5464,x5462)) % 159.04/158.77 [547]~E(x5471,x5472)+E(f849(x5471,x5473,x5474,x5475,x5476,x5477),f849(x5472,x5473,x5474,x5475,x5476,x5477)) % 159.04/158.77 [548]~E(x5481,x5482)+E(f849(x5483,x5481,x5484,x5485,x5486,x5487),f849(x5483,x5482,x5484,x5485,x5486,x5487)) % 159.04/158.77 [549]~E(x5491,x5492)+E(f849(x5493,x5494,x5491,x5495,x5496,x5497),f849(x5493,x5494,x5492,x5495,x5496,x5497)) % 159.04/158.77 [550]~E(x5501,x5502)+E(f849(x5503,x5504,x5505,x5501,x5506,x5507),f849(x5503,x5504,x5505,x5502,x5506,x5507)) % 159.04/158.77 [551]~E(x5511,x5512)+E(f849(x5513,x5514,x5515,x5516,x5511,x5517),f849(x5513,x5514,x5515,x5516,x5512,x5517)) % 159.04/158.77 [552]~E(x5521,x5522)+E(f849(x5523,x5524,x5525,x5526,x5527,x5521),f849(x5523,x5524,x5525,x5526,x5527,x5522)) % 159.04/158.77 [553]~E(x5531,x5532)+E(f417(x5531,x5533),f417(x5532,x5533)) % 159.04/158.77 [554]~E(x5541,x5542)+E(f417(x5543,x5541),f417(x5543,x5542)) % 159.04/158.77 [555]~E(x5551,x5552)+E(f545(x5551,x5553,x5554),f545(x5552,x5553,x5554)) % 159.04/158.77 [556]~E(x5561,x5562)+E(f545(x5563,x5561,x5564),f545(x5563,x5562,x5564)) % 159.04/158.77 [557]~E(x5571,x5572)+E(f545(x5573,x5574,x5571),f545(x5573,x5574,x5572)) % 159.04/158.77 [558]~E(x5581,x5582)+E(f710(x5581,x5583,x5584),f710(x5582,x5583,x5584)) % 159.04/158.77 [559]~E(x5591,x5592)+E(f710(x5593,x5591,x5594),f710(x5593,x5592,x5594)) % 159.04/158.77 [560]~E(x5601,x5602)+E(f710(x5603,x5604,x5601),f710(x5603,x5604,x5602)) % 159.04/158.77 [561]~E(x5611,x5612)+E(f361(x5611,x5613),f361(x5612,x5613)) % 159.04/158.77 [562]~E(x5621,x5622)+E(f361(x5623,x5621),f361(x5623,x5622)) % 159.04/158.77 [563]~E(x5631,x5632)+E(f535(x5631,x5633,x5634,x5635),f535(x5632,x5633,x5634,x5635)) % 159.04/158.77 [564]~E(x5641,x5642)+E(f535(x5643,x5641,x5644,x5645),f535(x5643,x5642,x5644,x5645)) % 159.04/158.77 [565]~E(x5651,x5652)+E(f535(x5653,x5654,x5651,x5655),f535(x5653,x5654,x5652,x5655)) % 159.04/158.77 [566]~E(x5661,x5662)+E(f535(x5663,x5664,x5665,x5661),f535(x5663,x5664,x5665,x5662)) % 159.04/158.77 [567]~E(x5671,x5672)+E(f590(x5671,x5673,x5674),f590(x5672,x5673,x5674)) % 159.04/158.77 [568]~E(x5681,x5682)+E(f590(x5683,x5681,x5684),f590(x5683,x5682,x5684)) % 159.04/158.77 [569]~E(x5691,x5692)+E(f590(x5693,x5694,x5691),f590(x5693,x5694,x5692)) % 159.04/158.77 [570]~E(x5701,x5702)+E(f311(x5701,x5703),f311(x5702,x5703)) % 159.04/158.77 [571]~E(x5711,x5712)+E(f311(x5713,x5711),f311(x5713,x5712)) % 159.04/158.77 [572]~E(x5721,x5722)+E(f325(x5721,x5723,x5724),f325(x5722,x5723,x5724)) % 159.04/158.77 [573]~E(x5731,x5732)+E(f325(x5733,x5731,x5734),f325(x5733,x5732,x5734)) % 159.04/158.77 [574]~E(x5741,x5742)+E(f325(x5743,x5744,x5741),f325(x5743,x5744,x5742)) % 159.04/158.77 [575]~E(x5751,x5752)+E(f275(x5751),f275(x5752)) % 159.04/158.77 [576]~E(x5761,x5762)+E(f733(x5761,x5763,x5764,x5765,x5766),f733(x5762,x5763,x5764,x5765,x5766)) % 159.04/158.77 [577]~E(x5771,x5772)+E(f733(x5773,x5771,x5774,x5775,x5776),f733(x5773,x5772,x5774,x5775,x5776)) % 159.04/158.77 [578]~E(x5781,x5782)+E(f733(x5783,x5784,x5781,x5785,x5786),f733(x5783,x5784,x5782,x5785,x5786)) % 159.04/158.77 [579]~E(x5791,x5792)+E(f733(x5793,x5794,x5795,x5791,x5796),f733(x5793,x5794,x5795,x5792,x5796)) % 159.04/158.77 [580]~E(x5801,x5802)+E(f733(x5803,x5804,x5805,x5806,x5801),f733(x5803,x5804,x5805,x5806,x5802)) % 159.04/158.77 [581]~E(x5811,x5812)+E(f237(x5811,x5813),f237(x5812,x5813)) % 159.04/158.77 [582]~E(x5821,x5822)+E(f237(x5823,x5821),f237(x5823,x5822)) % 159.04/158.77 [583]~E(x5831,x5832)+E(f33(x5831,x5833),f33(x5832,x5833)) % 159.04/158.77 [584]~E(x5841,x5842)+E(f33(x5843,x5841),f33(x5843,x5842)) % 159.04/158.77 [585]~E(x5851,x5852)+E(f286(x5851,x5853),f286(x5852,x5853)) % 159.04/158.77 [586]~E(x5861,x5862)+E(f286(x5863,x5861),f286(x5863,x5862)) % 159.04/158.77 [587]~E(x5871,x5872)+E(f551(x5871,x5873,x5874,x5875,x5876),f551(x5872,x5873,x5874,x5875,x5876)) % 159.04/158.77 [588]~E(x5881,x5882)+E(f551(x5883,x5881,x5884,x5885,x5886),f551(x5883,x5882,x5884,x5885,x5886)) % 159.04/158.77 [589]~E(x5891,x5892)+E(f551(x5893,x5894,x5891,x5895,x5896),f551(x5893,x5894,x5892,x5895,x5896)) % 159.04/158.77 [590]~E(x5901,x5902)+E(f551(x5903,x5904,x5905,x5901,x5906),f551(x5903,x5904,x5905,x5902,x5906)) % 159.04/158.77 [591]~E(x5911,x5912)+E(f551(x5913,x5914,x5915,x5916,x5911),f551(x5913,x5914,x5915,x5916,x5912)) % 159.04/158.77 [592]~E(x5921,x5922)+E(f185(x5921,x5923,x5924,x5925),f185(x5922,x5923,x5924,x5925)) % 159.04/158.77 [593]~E(x5931,x5932)+E(f185(x5933,x5931,x5934,x5935),f185(x5933,x5932,x5934,x5935)) % 159.04/158.77 [594]~E(x5941,x5942)+E(f185(x5943,x5944,x5941,x5945),f185(x5943,x5944,x5942,x5945)) % 159.04/158.77 [595]~E(x5951,x5952)+E(f185(x5953,x5954,x5955,x5951),f185(x5953,x5954,x5955,x5952)) % 159.04/158.77 [596]~E(x5961,x5962)+E(f530(x5961,x5963,x5964),f530(x5962,x5963,x5964)) % 159.04/158.77 [597]~E(x5971,x5972)+E(f530(x5973,x5971,x5974),f530(x5973,x5972,x5974)) % 159.04/158.77 [598]~E(x5981,x5982)+E(f530(x5983,x5984,x5981),f530(x5983,x5984,x5982)) % 159.04/158.77 [599]~E(x5991,x5992)+E(f47(x5991,x5993),f47(x5992,x5993)) % 159.04/158.77 [600]~E(x6001,x6002)+E(f47(x6003,x6001),f47(x6003,x6002)) % 159.04/158.77 [601]~E(x6011,x6012)+E(f254(x6011,x6013,x6014),f254(x6012,x6013,x6014)) % 159.04/158.77 [602]~E(x6021,x6022)+E(f254(x6023,x6021,x6024),f254(x6023,x6022,x6024)) % 159.04/158.77 [603]~E(x6031,x6032)+E(f254(x6033,x6034,x6031),f254(x6033,x6034,x6032)) % 159.04/158.77 [604]~E(x6041,x6042)+E(f494(x6041,x6043,x6044,x6045),f494(x6042,x6043,x6044,x6045)) % 159.04/158.77 [605]~E(x6051,x6052)+E(f494(x6053,x6051,x6054,x6055),f494(x6053,x6052,x6054,x6055)) % 159.04/158.77 [606]~E(x6061,x6062)+E(f494(x6063,x6064,x6061,x6065),f494(x6063,x6064,x6062,x6065)) % 159.04/158.77 [607]~E(x6071,x6072)+E(f494(x6073,x6074,x6075,x6071),f494(x6073,x6074,x6075,x6072)) % 159.04/158.77 [608]~E(x6081,x6082)+E(f522(x6081,x6083,x6084),f522(x6082,x6083,x6084)) % 159.04/158.77 [609]~E(x6091,x6092)+E(f522(x6093,x6091,x6094),f522(x6093,x6092,x6094)) % 159.04/158.77 [610]~E(x6101,x6102)+E(f522(x6103,x6104,x6101),f522(x6103,x6104,x6102)) % 159.04/158.77 [611]~E(x6111,x6112)+E(f157(x6111,x6113),f157(x6112,x6113)) % 159.04/158.77 [612]~E(x6121,x6122)+E(f157(x6123,x6121),f157(x6123,x6122)) % 159.04/158.77 [613]~E(x6131,x6132)+E(f569(x6131,x6133,x6134),f569(x6132,x6133,x6134)) % 159.04/158.77 [614]~E(x6141,x6142)+E(f569(x6143,x6141,x6144),f569(x6143,x6142,x6144)) % 159.04/158.77 [615]~E(x6151,x6152)+E(f569(x6153,x6154,x6151),f569(x6153,x6154,x6152)) % 159.04/158.77 [616]~E(x6161,x6162)+E(f53(x6161,x6163),f53(x6162,x6163)) % 159.04/158.77 [617]~E(x6171,x6172)+E(f53(x6173,x6171),f53(x6173,x6172)) % 159.04/158.77 [618]~E(x6181,x6182)+E(f472(x6181,x6183,x6184),f472(x6182,x6183,x6184)) % 159.04/158.77 [619]~E(x6191,x6192)+E(f472(x6193,x6191,x6194),f472(x6193,x6192,x6194)) % 159.04/158.77 [620]~E(x6201,x6202)+E(f472(x6203,x6204,x6201),f472(x6203,x6204,x6202)) % 159.04/158.77 [621]~E(x6211,x6212)+E(f666(x6211,x6213),f666(x6212,x6213)) % 159.04/158.77 [622]~E(x6221,x6222)+E(f666(x6223,x6221),f666(x6223,x6222)) % 159.04/158.77 [623]~E(x6231,x6232)+E(f395(x6231,x6233,x6234),f395(x6232,x6233,x6234)) % 159.04/158.77 [624]~E(x6241,x6242)+E(f395(x6243,x6241,x6244),f395(x6243,x6242,x6244)) % 159.04/158.77 [625]~E(x6251,x6252)+E(f395(x6253,x6254,x6251),f395(x6253,x6254,x6252)) % 159.04/158.77 [626]~E(x6261,x6262)+E(f573(x6261,x6263,x6264,x6265),f573(x6262,x6263,x6264,x6265)) % 159.04/158.77 [627]~E(x6271,x6272)+E(f573(x6273,x6271,x6274,x6275),f573(x6273,x6272,x6274,x6275)) % 159.04/158.77 [628]~E(x6281,x6282)+E(f573(x6283,x6284,x6281,x6285),f573(x6283,x6284,x6282,x6285)) % 159.04/158.77 [629]~E(x6291,x6292)+E(f573(x6293,x6294,x6295,x6291),f573(x6293,x6294,x6295,x6292)) % 159.04/158.77 [630]~E(x6301,x6302)+E(f122(x6301,x6303,x6304),f122(x6302,x6303,x6304)) % 159.04/158.77 [631]~E(x6311,x6312)+E(f122(x6313,x6311,x6314),f122(x6313,x6312,x6314)) % 159.04/158.77 [632]~E(x6321,x6322)+E(f122(x6323,x6324,x6321),f122(x6323,x6324,x6322)) % 159.04/158.77 [633]~E(x6331,x6332)+E(f342(x6331,x6333,x6334,x6335,x6336),f342(x6332,x6333,x6334,x6335,x6336)) % 159.04/158.77 [634]~E(x6341,x6342)+E(f342(x6343,x6341,x6344,x6345,x6346),f342(x6343,x6342,x6344,x6345,x6346)) % 159.04/158.77 [635]~E(x6351,x6352)+E(f342(x6353,x6354,x6351,x6355,x6356),f342(x6353,x6354,x6352,x6355,x6356)) % 159.04/158.77 [636]~E(x6361,x6362)+E(f342(x6363,x6364,x6365,x6361,x6366),f342(x6363,x6364,x6365,x6362,x6366)) % 159.04/158.77 [637]~E(x6371,x6372)+E(f342(x6373,x6374,x6375,x6376,x6371),f342(x6373,x6374,x6375,x6376,x6372)) % 159.04/158.77 [638]~E(x6381,x6382)+E(f836(x6381,x6383),f836(x6382,x6383)) % 159.04/158.77 [639]~E(x6391,x6392)+E(f836(x6393,x6391),f836(x6393,x6392)) % 159.04/158.77 [640]~E(x6401,x6402)+E(f247(x6401,x6403),f247(x6402,x6403)) % 159.04/158.77 [641]~E(x6411,x6412)+E(f247(x6413,x6411),f247(x6413,x6412)) % 159.04/158.77 [642]~E(x6421,x6422)+E(f132(x6421,x6423,x6424,x6425),f132(x6422,x6423,x6424,x6425)) % 159.04/158.77 [643]~E(x6431,x6432)+E(f132(x6433,x6431,x6434,x6435),f132(x6433,x6432,x6434,x6435)) % 159.04/158.77 [644]~E(x6441,x6442)+E(f132(x6443,x6444,x6441,x6445),f132(x6443,x6444,x6442,x6445)) % 159.04/158.77 [645]~E(x6451,x6452)+E(f132(x6453,x6454,x6455,x6451),f132(x6453,x6454,x6455,x6452)) % 159.04/158.77 [646]~E(x6461,x6462)+E(f523(x6461,x6463,x6464),f523(x6462,x6463,x6464)) % 159.04/158.77 [647]~E(x6471,x6472)+E(f523(x6473,x6471,x6474),f523(x6473,x6472,x6474)) % 159.04/158.77 [648]~E(x6481,x6482)+E(f523(x6483,x6484,x6481),f523(x6483,x6484,x6482)) % 159.04/158.77 [649]~E(x6491,x6492)+E(f740(x6491,x6493,x6494),f740(x6492,x6493,x6494)) % 159.04/158.77 [650]~E(x6501,x6502)+E(f740(x6503,x6501,x6504),f740(x6503,x6502,x6504)) % 159.04/158.77 [651]~E(x6511,x6512)+E(f740(x6513,x6514,x6511),f740(x6513,x6514,x6512)) % 159.04/158.77 [652]~E(x6521,x6522)+E(f697(x6521,x6523,x6524,x6525),f697(x6522,x6523,x6524,x6525)) % 159.04/158.77 [653]~E(x6531,x6532)+E(f697(x6533,x6531,x6534,x6535),f697(x6533,x6532,x6534,x6535)) % 159.04/158.77 [654]~E(x6541,x6542)+E(f697(x6543,x6544,x6541,x6545),f697(x6543,x6544,x6542,x6545)) % 159.04/158.77 [655]~E(x6551,x6552)+E(f697(x6553,x6554,x6555,x6551),f697(x6553,x6554,x6555,x6552)) % 159.04/158.77 [656]~E(x6561,x6562)+E(f360(x6561),f360(x6562)) % 159.04/158.77 [657]~E(x6571,x6572)+E(f337(x6571,x6573),f337(x6572,x6573)) % 159.04/158.77 [658]~E(x6581,x6582)+E(f337(x6583,x6581),f337(x6583,x6582)) % 159.04/158.77 [659]~E(x6591,x6592)+E(f165(x6591),f165(x6592)) % 159.04/158.77 [660]~E(x6601,x6602)+E(f82(x6601,x6603),f82(x6602,x6603)) % 159.04/158.77 [661]~E(x6611,x6612)+E(f82(x6613,x6611),f82(x6613,x6612)) % 159.04/158.77 [662]~E(x6621,x6622)+E(f154(x6621,x6623,x6624),f154(x6622,x6623,x6624)) % 159.04/158.77 [663]~E(x6631,x6632)+E(f154(x6633,x6631,x6634),f154(x6633,x6632,x6634)) % 159.04/158.77 [664]~E(x6641,x6642)+E(f154(x6643,x6644,x6641),f154(x6643,x6644,x6642)) % 159.04/158.77 [665]~E(x6651,x6652)+E(f192(x6651),f192(x6652)) % 159.04/158.77 [666]~E(x6661,x6662)+E(f869(x6661,x6663,x6664,x6665,x6666,x6667),f869(x6662,x6663,x6664,x6665,x6666,x6667)) % 159.04/158.77 [667]~E(x6671,x6672)+E(f869(x6673,x6671,x6674,x6675,x6676,x6677),f869(x6673,x6672,x6674,x6675,x6676,x6677)) % 159.04/158.77 [668]~E(x6681,x6682)+E(f869(x6683,x6684,x6681,x6685,x6686,x6687),f869(x6683,x6684,x6682,x6685,x6686,x6687)) % 159.04/158.77 [669]~E(x6691,x6692)+E(f869(x6693,x6694,x6695,x6691,x6696,x6697),f869(x6693,x6694,x6695,x6692,x6696,x6697)) % 159.04/158.77 [670]~E(x6701,x6702)+E(f869(x6703,x6704,x6705,x6706,x6701,x6707),f869(x6703,x6704,x6705,x6706,x6702,x6707)) % 159.04/158.77 [671]~E(x6711,x6712)+E(f869(x6713,x6714,x6715,x6716,x6717,x6711),f869(x6713,x6714,x6715,x6716,x6717,x6712)) % 159.04/158.77 [672]~E(x6721,x6722)+E(f206(x6721,x6723,x6724,x6725),f206(x6722,x6723,x6724,x6725)) % 159.04/158.77 [673]~E(x6731,x6732)+E(f206(x6733,x6731,x6734,x6735),f206(x6733,x6732,x6734,x6735)) % 159.04/158.77 [674]~E(x6741,x6742)+E(f206(x6743,x6744,x6741,x6745),f206(x6743,x6744,x6742,x6745)) % 159.04/158.77 [675]~E(x6751,x6752)+E(f206(x6753,x6754,x6755,x6751),f206(x6753,x6754,x6755,x6752)) % 159.04/158.77 [676]~E(x6761,x6762)+E(f283(x6761),f283(x6762)) % 159.04/158.77 [677]~E(x6771,x6772)+E(f345(x6771,x6773,x6774,x6775,x6776,x6777),f345(x6772,x6773,x6774,x6775,x6776,x6777)) % 159.04/158.77 [678]~E(x6781,x6782)+E(f345(x6783,x6781,x6784,x6785,x6786,x6787),f345(x6783,x6782,x6784,x6785,x6786,x6787)) % 159.04/158.77 [679]~E(x6791,x6792)+E(f345(x6793,x6794,x6791,x6795,x6796,x6797),f345(x6793,x6794,x6792,x6795,x6796,x6797)) % 159.04/158.77 [680]~E(x6801,x6802)+E(f345(x6803,x6804,x6805,x6801,x6806,x6807),f345(x6803,x6804,x6805,x6802,x6806,x6807)) % 159.04/158.77 [681]~E(x6811,x6812)+E(f345(x6813,x6814,x6815,x6816,x6811,x6817),f345(x6813,x6814,x6815,x6816,x6812,x6817)) % 159.04/158.77 [682]~E(x6821,x6822)+E(f345(x6823,x6824,x6825,x6826,x6827,x6821),f345(x6823,x6824,x6825,x6826,x6827,x6822)) % 159.04/158.77 [683]~E(x6831,x6832)+E(f256(x6831,x6833,x6834),f256(x6832,x6833,x6834)) % 159.04/158.77 [684]~E(x6841,x6842)+E(f256(x6843,x6841,x6844),f256(x6843,x6842,x6844)) % 159.04/158.77 [685]~E(x6851,x6852)+E(f256(x6853,x6854,x6851),f256(x6853,x6854,x6852)) % 159.04/158.77 [686]~E(x6861,x6862)+E(f225(x6861,x6863),f225(x6862,x6863)) % 159.04/158.77 [687]~E(x6871,x6872)+E(f225(x6873,x6871),f225(x6873,x6872)) % 159.04/158.77 [688]~E(x6881,x6882)+E(f290(x6881,x6883),f290(x6882,x6883)) % 159.04/158.77 [689]~E(x6891,x6892)+E(f290(x6893,x6891),f290(x6893,x6892)) % 159.04/158.77 [690]~E(x6901,x6902)+E(f615(x6901,x6903,x6904,x6905),f615(x6902,x6903,x6904,x6905)) % 159.04/158.77 [691]~E(x6911,x6912)+E(f615(x6913,x6911,x6914,x6915),f615(x6913,x6912,x6914,x6915)) % 159.04/158.77 [692]~E(x6921,x6922)+E(f615(x6923,x6924,x6921,x6925),f615(x6923,x6924,x6922,x6925)) % 159.04/158.77 [693]~E(x6931,x6932)+E(f615(x6933,x6934,x6935,x6931),f615(x6933,x6934,x6935,x6932)) % 159.04/158.77 [694]~E(x6941,x6942)+E(f241(x6941),f241(x6942)) % 159.04/158.77 [695]~E(x6951,x6952)+E(f613(x6951,x6953,x6954,x6955,x6956),f613(x6952,x6953,x6954,x6955,x6956)) % 159.04/158.77 [696]~E(x6961,x6962)+E(f613(x6963,x6961,x6964,x6965,x6966),f613(x6963,x6962,x6964,x6965,x6966)) % 159.04/158.77 [697]~E(x6971,x6972)+E(f613(x6973,x6974,x6971,x6975,x6976),f613(x6973,x6974,x6972,x6975,x6976)) % 159.04/158.77 [698]~E(x6981,x6982)+E(f613(x6983,x6984,x6985,x6981,x6986),f613(x6983,x6984,x6985,x6982,x6986)) % 159.04/158.77 [699]~E(x6991,x6992)+E(f613(x6993,x6994,x6995,x6996,x6991),f613(x6993,x6994,x6995,x6996,x6992)) % 159.04/158.77 [700]~E(x7001,x7002)+E(f441(x7001,x7003,x7004),f441(x7002,x7003,x7004)) % 159.04/158.77 [701]~E(x7011,x7012)+E(f441(x7013,x7011,x7014),f441(x7013,x7012,x7014)) % 159.04/158.77 [702]~E(x7021,x7022)+E(f441(x7023,x7024,x7021),f441(x7023,x7024,x7022)) % 159.04/158.77 [703]~E(x7031,x7032)+E(f649(x7031,x7033,x7034),f649(x7032,x7033,x7034)) % 159.04/158.77 [704]~E(x7041,x7042)+E(f649(x7043,x7041,x7044),f649(x7043,x7042,x7044)) % 159.04/158.77 [705]~E(x7051,x7052)+E(f649(x7053,x7054,x7051),f649(x7053,x7054,x7052)) % 159.04/158.77 [706]~E(x7061,x7062)+E(f602(x7061,x7063,x7064,x7065,x7066),f602(x7062,x7063,x7064,x7065,x7066)) % 159.04/158.77 [707]~E(x7071,x7072)+E(f602(x7073,x7071,x7074,x7075,x7076),f602(x7073,x7072,x7074,x7075,x7076)) % 159.04/158.77 [708]~E(x7081,x7082)+E(f602(x7083,x7084,x7081,x7085,x7086),f602(x7083,x7084,x7082,x7085,x7086)) % 159.04/158.77 [709]~E(x7091,x7092)+E(f602(x7093,x7094,x7095,x7091,x7096),f602(x7093,x7094,x7095,x7092,x7096)) % 159.04/158.77 [710]~E(x7101,x7102)+E(f602(x7103,x7104,x7105,x7106,x7101),f602(x7103,x7104,x7105,x7106,x7102)) % 159.04/158.77 [711]~E(x7111,x7112)+E(f538(x7111),f538(x7112)) % 159.04/158.77 [712]~E(x7121,x7122)+E(f113(x7121),f113(x7122)) % 159.04/158.77 [713]~E(x7131,x7132)+E(f660(x7131,x7133,x7134,x7135),f660(x7132,x7133,x7134,x7135)) % 159.04/158.77 [714]~E(x7141,x7142)+E(f660(x7143,x7141,x7144,x7145),f660(x7143,x7142,x7144,x7145)) % 159.04/158.77 [715]~E(x7151,x7152)+E(f660(x7153,x7154,x7151,x7155),f660(x7153,x7154,x7152,x7155)) % 159.04/158.77 [716]~E(x7161,x7162)+E(f660(x7163,x7164,x7165,x7161),f660(x7163,x7164,x7165,x7162)) % 159.04/158.77 [717]~E(x7171,x7172)+E(f266(x7171,x7173,x7174,x7175,x7176),f266(x7172,x7173,x7174,x7175,x7176)) % 159.04/158.77 [718]~E(x7181,x7182)+E(f266(x7183,x7181,x7184,x7185,x7186),f266(x7183,x7182,x7184,x7185,x7186)) % 159.04/158.77 [719]~E(x7191,x7192)+E(f266(x7193,x7194,x7191,x7195,x7196),f266(x7193,x7194,x7192,x7195,x7196)) % 159.04/158.77 [720]~E(x7201,x7202)+E(f266(x7203,x7204,x7205,x7201,x7206),f266(x7203,x7204,x7205,x7202,x7206)) % 159.04/158.77 [721]~E(x7211,x7212)+E(f266(x7213,x7214,x7215,x7216,x7211),f266(x7213,x7214,x7215,x7216,x7212)) % 159.04/158.77 [722]~E(x7221,x7222)+E(f453(x7221,x7223),f453(x7222,x7223)) % 159.04/158.77 [723]~E(x7231,x7232)+E(f453(x7233,x7231),f453(x7233,x7232)) % 159.04/158.77 [724]~E(x7241,x7242)+E(f462(x7241,x7243),f462(x7242,x7243)) % 159.04/158.77 [725]~E(x7251,x7252)+E(f462(x7253,x7251),f462(x7253,x7252)) % 159.04/158.77 [726]~E(x7261,x7262)+E(f676(x7261,x7263,x7264,x7265,x7266),f676(x7262,x7263,x7264,x7265,x7266)) % 159.04/158.77 [727]~E(x7271,x7272)+E(f676(x7273,x7271,x7274,x7275,x7276),f676(x7273,x7272,x7274,x7275,x7276)) % 159.04/158.77 [728]~E(x7281,x7282)+E(f676(x7283,x7284,x7281,x7285,x7286),f676(x7283,x7284,x7282,x7285,x7286)) % 159.04/158.77 [729]~E(x7291,x7292)+E(f676(x7293,x7294,x7295,x7291,x7296),f676(x7293,x7294,x7295,x7292,x7296)) % 159.04/158.77 [730]~E(x7301,x7302)+E(f676(x7303,x7304,x7305,x7306,x7301),f676(x7303,x7304,x7305,x7306,x7302)) % 159.04/158.77 [731]~E(x7311,x7312)+E(f750(x7311,x7313,x7314),f750(x7312,x7313,x7314)) % 159.04/158.77 [732]~E(x7321,x7322)+E(f750(x7323,x7321,x7324),f750(x7323,x7322,x7324)) % 159.04/158.77 [733]~E(x7331,x7332)+E(f750(x7333,x7334,x7331),f750(x7333,x7334,x7332)) % 159.04/158.77 [734]~E(x7341,x7342)+E(f258(x7341,x7343),f258(x7342,x7343)) % 159.04/158.77 [735]~E(x7351,x7352)+E(f258(x7353,x7351),f258(x7353,x7352)) % 159.04/158.77 [736]~E(x7361,x7362)+E(f689(x7361,x7363,x7364),f689(x7362,x7363,x7364)) % 159.04/158.77 [737]~E(x7371,x7372)+E(f689(x7373,x7371,x7374),f689(x7373,x7372,x7374)) % 159.04/158.77 [738]~E(x7381,x7382)+E(f689(x7383,x7384,x7381),f689(x7383,x7384,x7382)) % 159.04/158.77 [739]~E(x7391,x7392)+E(f798(x7391,x7393,x7394,x7395),f798(x7392,x7393,x7394,x7395)) % 159.04/158.77 [740]~E(x7401,x7402)+E(f798(x7403,x7401,x7404,x7405),f798(x7403,x7402,x7404,x7405)) % 159.04/158.77 [741]~E(x7411,x7412)+E(f798(x7413,x7414,x7411,x7415),f798(x7413,x7414,x7412,x7415)) % 159.04/158.77 [742]~E(x7421,x7422)+E(f798(x7423,x7424,x7425,x7421),f798(x7423,x7424,x7425,x7422)) % 159.04/158.77 [743]~E(x7431,x7432)+E(f782(x7431,x7433,x7434,x7435),f782(x7432,x7433,x7434,x7435)) % 159.04/158.77 [744]~E(x7441,x7442)+E(f782(x7443,x7441,x7444,x7445),f782(x7443,x7442,x7444,x7445)) % 159.04/158.77 [745]~E(x7451,x7452)+E(f782(x7453,x7454,x7451,x7455),f782(x7453,x7454,x7452,x7455)) % 159.04/158.77 [746]~E(x7461,x7462)+E(f782(x7463,x7464,x7465,x7461),f782(x7463,x7464,x7465,x7462)) % 159.04/158.77 [747]~E(x7471,x7472)+E(f581(x7471,x7473,x7474,x7475,x7476,x7477,x7478,x7479),f581(x7472,x7473,x7474,x7475,x7476,x7477,x7478,x7479)) % 159.04/158.77 [748]~E(x7481,x7482)+E(f581(x7483,x7481,x7484,x7485,x7486,x7487,x7488,x7489),f581(x7483,x7482,x7484,x7485,x7486,x7487,x7488,x7489)) % 159.04/158.77 [749]~E(x7491,x7492)+E(f581(x7493,x7494,x7491,x7495,x7496,x7497,x7498,x7499),f581(x7493,x7494,x7492,x7495,x7496,x7497,x7498,x7499)) % 159.04/158.77 [750]~E(x7501,x7502)+E(f581(x7503,x7504,x7505,x7501,x7506,x7507,x7508,x7509),f581(x7503,x7504,x7505,x7502,x7506,x7507,x7508,x7509)) % 159.04/158.77 [751]~E(x7511,x7512)+E(f581(x7513,x7514,x7515,x7516,x7511,x7517,x7518,x7519),f581(x7513,x7514,x7515,x7516,x7512,x7517,x7518,x7519)) % 159.04/158.77 [752]~E(x7521,x7522)+E(f581(x7523,x7524,x7525,x7526,x7527,x7521,x7528,x7529),f581(x7523,x7524,x7525,x7526,x7527,x7522,x7528,x7529)) % 159.04/158.77 [753]~E(x7531,x7532)+E(f581(x7533,x7534,x7535,x7536,x7537,x7538,x7531,x7539),f581(x7533,x7534,x7535,x7536,x7537,x7538,x7532,x7539)) % 159.04/158.77 [754]~E(x7541,x7542)+E(f581(x7543,x7544,x7545,x7546,x7547,x7548,x7549,x7541),f581(x7543,x7544,x7545,x7546,x7547,x7548,x7549,x7542)) % 159.04/158.77 [755]~E(x7551,x7552)+E(f456(x7551,x7553),f456(x7552,x7553)) % 159.04/158.77 [756]~E(x7561,x7562)+E(f456(x7563,x7561),f456(x7563,x7562)) % 159.04/158.77 [757]~E(x7571,x7572)+E(f186(x7571,x7573,x7574),f186(x7572,x7573,x7574)) % 159.04/158.77 [758]~E(x7581,x7582)+E(f186(x7583,x7581,x7584),f186(x7583,x7582,x7584)) % 159.04/158.77 [759]~E(x7591,x7592)+E(f186(x7593,x7594,x7591),f186(x7593,x7594,x7592)) % 159.04/158.77 [760]~E(x7601,x7602)+E(f650(x7601,x7603,x7604,x7605),f650(x7602,x7603,x7604,x7605)) % 159.04/158.77 [761]~E(x7611,x7612)+E(f650(x7613,x7611,x7614,x7615),f650(x7613,x7612,x7614,x7615)) % 159.04/158.77 [762]~E(x7621,x7622)+E(f650(x7623,x7624,x7621,x7625),f650(x7623,x7624,x7622,x7625)) % 159.04/158.77 [763]~E(x7631,x7632)+E(f650(x7633,x7634,x7635,x7631),f650(x7633,x7634,x7635,x7632)) % 159.04/158.77 [764]~E(x7641,x7642)+E(f620(x7641,x7643,x7644,x7645,x7646,x7647,x7648),f620(x7642,x7643,x7644,x7645,x7646,x7647,x7648)) % 159.04/158.77 [765]~E(x7651,x7652)+E(f620(x7653,x7651,x7654,x7655,x7656,x7657,x7658),f620(x7653,x7652,x7654,x7655,x7656,x7657,x7658)) % 159.04/158.77 [766]~E(x7661,x7662)+E(f620(x7663,x7664,x7661,x7665,x7666,x7667,x7668),f620(x7663,x7664,x7662,x7665,x7666,x7667,x7668)) % 159.04/158.77 [767]~E(x7671,x7672)+E(f620(x7673,x7674,x7675,x7671,x7676,x7677,x7678),f620(x7673,x7674,x7675,x7672,x7676,x7677,x7678)) % 159.04/158.77 [768]~E(x7681,x7682)+E(f620(x7683,x7684,x7685,x7686,x7681,x7687,x7688),f620(x7683,x7684,x7685,x7686,x7682,x7687,x7688)) % 159.04/158.77 [769]~E(x7691,x7692)+E(f620(x7693,x7694,x7695,x7696,x7697,x7691,x7698),f620(x7693,x7694,x7695,x7696,x7697,x7692,x7698)) % 159.04/158.77 [770]~E(x7701,x7702)+E(f620(x7703,x7704,x7705,x7706,x7707,x7708,x7701),f620(x7703,x7704,x7705,x7706,x7707,x7708,x7702)) % 159.04/158.77 [771]~E(x7711,x7712)+E(f611(x7711,x7713,x7714),f611(x7712,x7713,x7714)) % 159.04/158.77 [772]~E(x7721,x7722)+E(f611(x7723,x7721,x7724),f611(x7723,x7722,x7724)) % 159.04/158.77 [773]~E(x7731,x7732)+E(f611(x7733,x7734,x7731),f611(x7733,x7734,x7732)) % 159.04/158.77 [774]~E(x7741,x7742)+E(f130(x7741,x7743),f130(x7742,x7743)) % 159.04/158.77 [775]~E(x7751,x7752)+E(f130(x7753,x7751),f130(x7753,x7752)) % 159.04/158.77 [776]~E(x7761,x7762)+E(f564(x7761,x7763,x7764),f564(x7762,x7763,x7764)) % 159.04/158.77 [777]~E(x7771,x7772)+E(f564(x7773,x7771,x7774),f564(x7773,x7772,x7774)) % 159.04/158.77 [778]~E(x7781,x7782)+E(f564(x7783,x7784,x7781),f564(x7783,x7784,x7782)) % 159.04/158.77 [779]~E(x7791,x7792)+E(f410(x7791,x7793,x7794,x7795),f410(x7792,x7793,x7794,x7795)) % 159.04/158.77 [780]~E(x7801,x7802)+E(f410(x7803,x7801,x7804,x7805),f410(x7803,x7802,x7804,x7805)) % 159.04/158.77 [781]~E(x7811,x7812)+E(f410(x7813,x7814,x7811,x7815),f410(x7813,x7814,x7812,x7815)) % 159.04/158.77 [782]~E(x7821,x7822)+E(f410(x7823,x7824,x7825,x7821),f410(x7823,x7824,x7825,x7822)) % 159.04/158.77 [783]~E(x7831,x7832)+E(f95(x7831,x7833,x7834),f95(x7832,x7833,x7834)) % 159.04/158.77 [784]~E(x7841,x7842)+E(f95(x7843,x7841,x7844),f95(x7843,x7842,x7844)) % 159.04/158.77 [785]~E(x7851,x7852)+E(f95(x7853,x7854,x7851),f95(x7853,x7854,x7852)) % 159.04/158.77 [786]~E(x7861,x7862)+E(f77(x7861,x7863,x7864,x7865),f77(x7862,x7863,x7864,x7865)) % 159.04/158.77 [787]~E(x7871,x7872)+E(f77(x7873,x7871,x7874,x7875),f77(x7873,x7872,x7874,x7875)) % 159.04/158.77 [788]~E(x7881,x7882)+E(f77(x7883,x7884,x7881,x7885),f77(x7883,x7884,x7882,x7885)) % 159.04/158.77 [789]~E(x7891,x7892)+E(f77(x7893,x7894,x7895,x7891),f77(x7893,x7894,x7895,x7892)) % 159.04/158.77 [790]~E(x7901,x7902)+E(f795(x7901,x7903,x7904,x7905,x7906),f795(x7902,x7903,x7904,x7905,x7906)) % 159.04/158.77 [791]~E(x7911,x7912)+E(f795(x7913,x7911,x7914,x7915,x7916),f795(x7913,x7912,x7914,x7915,x7916)) % 159.04/158.77 [792]~E(x7921,x7922)+E(f795(x7923,x7924,x7921,x7925,x7926),f795(x7923,x7924,x7922,x7925,x7926)) % 159.04/158.77 [793]~E(x7931,x7932)+E(f795(x7933,x7934,x7935,x7931,x7936),f795(x7933,x7934,x7935,x7932,x7936)) % 159.04/158.77 [794]~E(x7941,x7942)+E(f795(x7943,x7944,x7945,x7946,x7941),f795(x7943,x7944,x7945,x7946,x7942)) % 159.04/158.77 [795]~E(x7951,x7952)+E(f757(x7951,x7953,x7954,x7955,x7956),f757(x7952,x7953,x7954,x7955,x7956)) % 159.04/158.77 [796]~E(x7961,x7962)+E(f757(x7963,x7961,x7964,x7965,x7966),f757(x7963,x7962,x7964,x7965,x7966)) % 159.04/158.77 [797]~E(x7971,x7972)+E(f757(x7973,x7974,x7971,x7975,x7976),f757(x7973,x7974,x7972,x7975,x7976)) % 159.04/158.77 [798]~E(x7981,x7982)+E(f757(x7983,x7984,x7985,x7981,x7986),f757(x7983,x7984,x7985,x7982,x7986)) % 159.04/158.77 [799]~E(x7991,x7992)+E(f757(x7993,x7994,x7995,x7996,x7991),f757(x7993,x7994,x7995,x7996,x7992)) % 159.04/158.77 [800]~E(x8001,x8002)+E(f60(x8001,x8003,x8004,x8005),f60(x8002,x8003,x8004,x8005)) % 159.04/158.77 [801]~E(x8011,x8012)+E(f60(x8013,x8011,x8014,x8015),f60(x8013,x8012,x8014,x8015)) % 159.04/158.77 [802]~E(x8021,x8022)+E(f60(x8023,x8024,x8021,x8025),f60(x8023,x8024,x8022,x8025)) % 159.04/158.77 [803]~E(x8031,x8032)+E(f60(x8033,x8034,x8035,x8031),f60(x8033,x8034,x8035,x8032)) % 159.04/158.77 [804]~E(x8041,x8042)+E(f709(x8041,x8043,x8044),f709(x8042,x8043,x8044)) % 159.04/158.77 [805]~E(x8051,x8052)+E(f709(x8053,x8051,x8054),f709(x8053,x8052,x8054)) % 159.04/158.77 [806]~E(x8061,x8062)+E(f709(x8063,x8064,x8061),f709(x8063,x8064,x8062)) % 159.04/158.77 [807]~E(x8071,x8072)+E(f865(x8071,x8073,x8074,x8075),f865(x8072,x8073,x8074,x8075)) % 159.04/158.77 [808]~E(x8081,x8082)+E(f865(x8083,x8081,x8084,x8085),f865(x8083,x8082,x8084,x8085)) % 159.04/158.77 [809]~E(x8091,x8092)+E(f865(x8093,x8094,x8091,x8095),f865(x8093,x8094,x8092,x8095)) % 159.04/158.77 [810]~E(x8101,x8102)+E(f865(x8103,x8104,x8105,x8101),f865(x8103,x8104,x8105,x8102)) % 159.04/158.77 [811]~E(x8111,x8112)+E(f595(x8111,x8113,x8114,x8115),f595(x8112,x8113,x8114,x8115)) % 159.04/158.77 [812]~E(x8121,x8122)+E(f595(x8123,x8121,x8124,x8125),f595(x8123,x8122,x8124,x8125)) % 159.04/158.77 [813]~E(x8131,x8132)+E(f595(x8133,x8134,x8131,x8135),f595(x8133,x8134,x8132,x8135)) % 159.04/158.77 [814]~E(x8141,x8142)+E(f595(x8143,x8144,x8145,x8141),f595(x8143,x8144,x8145,x8142)) % 159.04/158.77 [815]~E(x8151,x8152)+E(f208(x8151,x8153),f208(x8152,x8153)) % 159.04/158.77 [816]~E(x8161,x8162)+E(f208(x8163,x8161),f208(x8163,x8162)) % 159.04/158.77 [817]~E(x8171,x8172)+E(f366(x8171,x8173),f366(x8172,x8173)) % 159.04/158.77 [818]~E(x8181,x8182)+E(f366(x8183,x8181),f366(x8183,x8182)) % 159.04/158.77 [819]~E(x8191,x8192)+E(f568(x8191,x8193,x8194),f568(x8192,x8193,x8194)) % 159.04/158.77 [820]~E(x8201,x8202)+E(f568(x8203,x8201,x8204),f568(x8203,x8202,x8204)) % 159.04/158.77 [821]~E(x8211,x8212)+E(f568(x8213,x8214,x8211),f568(x8213,x8214,x8212)) % 159.04/158.77 [822]~E(x8221,x8222)+E(f464(x8221,x8223,x8224),f464(x8222,x8223,x8224)) % 159.04/158.77 [823]~E(x8231,x8232)+E(f464(x8233,x8231,x8234),f464(x8233,x8232,x8234)) % 159.04/158.77 [824]~E(x8241,x8242)+E(f464(x8243,x8244,x8241),f464(x8243,x8244,x8242)) % 159.04/158.77 [825]~E(x8251,x8252)+E(f729(x8251,x8253,x8254),f729(x8252,x8253,x8254)) % 159.04/158.77 [826]~E(x8261,x8262)+E(f729(x8263,x8261,x8264),f729(x8263,x8262,x8264)) % 159.04/158.77 [827]~E(x8271,x8272)+E(f729(x8273,x8274,x8271),f729(x8273,x8274,x8272)) % 159.04/158.77 [828]~E(x8281,x8282)+E(f669(x8281,x8283,x8284),f669(x8282,x8283,x8284)) % 159.04/158.77 [829]~E(x8291,x8292)+E(f669(x8293,x8291,x8294),f669(x8293,x8292,x8294)) % 159.04/158.77 [830]~E(x8301,x8302)+E(f669(x8303,x8304,x8301),f669(x8303,x8304,x8302)) % 159.04/158.77 [831]~E(x8311,x8312)+E(f46(x8311,x8313),f46(x8312,x8313)) % 159.04/158.77 [832]~E(x8321,x8322)+E(f46(x8323,x8321),f46(x8323,x8322)) % 159.04/158.77 [833]~E(x8331,x8332)+E(f320(x8331,x8333),f320(x8332,x8333)) % 159.04/158.77 [834]~E(x8341,x8342)+E(f320(x8343,x8341),f320(x8343,x8342)) % 159.04/158.77 [835]~E(x8351,x8352)+E(f630(x8351,x8353,x8354),f630(x8352,x8353,x8354)) % 159.04/158.77 [836]~E(x8361,x8362)+E(f630(x8363,x8361,x8364),f630(x8363,x8362,x8364)) % 159.04/158.77 [837]~E(x8371,x8372)+E(f630(x8373,x8374,x8371),f630(x8373,x8374,x8372)) % 159.04/158.77 [838]~E(x8381,x8382)+E(f191(x8381,x8383,x8384,x8385),f191(x8382,x8383,x8384,x8385)) % 159.04/158.77 [839]~E(x8391,x8392)+E(f191(x8393,x8391,x8394,x8395),f191(x8393,x8392,x8394,x8395)) % 159.04/158.77 [840]~E(x8401,x8402)+E(f191(x8403,x8404,x8401,x8405),f191(x8403,x8404,x8402,x8405)) % 159.04/158.77 [841]~E(x8411,x8412)+E(f191(x8413,x8414,x8415,x8411),f191(x8413,x8414,x8415,x8412)) % 159.04/158.77 [842]~E(x8421,x8422)+E(f854(x8421,x8423),f854(x8422,x8423)) % 159.04/158.77 [843]~E(x8431,x8432)+E(f854(x8433,x8431),f854(x8433,x8432)) % 159.04/158.77 [844]~E(x8441,x8442)+E(f636(x8441,x8443,x8444),f636(x8442,x8443,x8444)) % 159.04/158.77 [845]~E(x8451,x8452)+E(f636(x8453,x8451,x8454),f636(x8453,x8452,x8454)) % 159.04/158.77 [846]~E(x8461,x8462)+E(f636(x8463,x8464,x8461),f636(x8463,x8464,x8462)) % 159.04/158.77 [847]~E(x8471,x8472)+E(f554(x8471,x8473,x8474,x8475),f554(x8472,x8473,x8474,x8475)) % 159.04/158.77 [848]~E(x8481,x8482)+E(f554(x8483,x8481,x8484,x8485),f554(x8483,x8482,x8484,x8485)) % 159.04/158.77 [849]~E(x8491,x8492)+E(f554(x8493,x8494,x8491,x8495),f554(x8493,x8494,x8492,x8495)) % 159.04/158.77 [850]~E(x8501,x8502)+E(f554(x8503,x8504,x8505,x8501),f554(x8503,x8504,x8505,x8502)) % 159.04/158.77 [851]~E(x8511,x8512)+E(f572(x8511,x8513,x8514,x8515),f572(x8512,x8513,x8514,x8515)) % 159.04/158.77 [852]~E(x8521,x8522)+E(f572(x8523,x8521,x8524,x8525),f572(x8523,x8522,x8524,x8525)) % 159.04/158.77 [853]~E(x8531,x8532)+E(f572(x8533,x8534,x8531,x8535),f572(x8533,x8534,x8532,x8535)) % 159.04/158.77 [854]~E(x8541,x8542)+E(f572(x8543,x8544,x8545,x8541),f572(x8543,x8544,x8545,x8542)) % 159.04/158.77 [855]~E(x8551,x8552)+E(f774(x8551,x8553,x8554,x8555,x8556,x8557,x8558),f774(x8552,x8553,x8554,x8555,x8556,x8557,x8558)) % 159.04/158.77 [856]~E(x8561,x8562)+E(f774(x8563,x8561,x8564,x8565,x8566,x8567,x8568),f774(x8563,x8562,x8564,x8565,x8566,x8567,x8568)) % 159.04/158.77 [857]~E(x8571,x8572)+E(f774(x8573,x8574,x8571,x8575,x8576,x8577,x8578),f774(x8573,x8574,x8572,x8575,x8576,x8577,x8578)) % 159.04/158.77 [858]~E(x8581,x8582)+E(f774(x8583,x8584,x8585,x8581,x8586,x8587,x8588),f774(x8583,x8584,x8585,x8582,x8586,x8587,x8588)) % 159.04/158.77 [859]~E(x8591,x8592)+E(f774(x8593,x8594,x8595,x8596,x8591,x8597,x8598),f774(x8593,x8594,x8595,x8596,x8592,x8597,x8598)) % 159.04/158.77 [860]~E(x8601,x8602)+E(f774(x8603,x8604,x8605,x8606,x8607,x8601,x8608),f774(x8603,x8604,x8605,x8606,x8607,x8602,x8608)) % 159.04/158.77 [861]~E(x8611,x8612)+E(f774(x8613,x8614,x8615,x8616,x8617,x8618,x8611),f774(x8613,x8614,x8615,x8616,x8617,x8618,x8612)) % 159.04/158.77 [862]~E(x8621,x8622)+E(f380(x8621,x8623,x8624),f380(x8622,x8623,x8624)) % 159.04/158.77 [863]~E(x8631,x8632)+E(f380(x8633,x8631,x8634),f380(x8633,x8632,x8634)) % 159.04/158.77 [864]~E(x8641,x8642)+E(f380(x8643,x8644,x8641),f380(x8643,x8644,x8642)) % 159.04/158.77 [865]~E(x8651,x8652)+E(f591(x8651,x8653,x8654,x8655,x8656,x8657),f591(x8652,x8653,x8654,x8655,x8656,x8657)) % 159.04/158.77 [866]~E(x8661,x8662)+E(f591(x8663,x8661,x8664,x8665,x8666,x8667),f591(x8663,x8662,x8664,x8665,x8666,x8667)) % 159.04/158.77 [867]~E(x8671,x8672)+E(f591(x8673,x8674,x8671,x8675,x8676,x8677),f591(x8673,x8674,x8672,x8675,x8676,x8677)) % 159.04/158.77 [868]~E(x8681,x8682)+E(f591(x8683,x8684,x8685,x8681,x8686,x8687),f591(x8683,x8684,x8685,x8682,x8686,x8687)) % 159.04/158.77 [869]~E(x8691,x8692)+E(f591(x8693,x8694,x8695,x8696,x8691,x8697),f591(x8693,x8694,x8695,x8696,x8692,x8697)) % 159.04/158.77 [870]~E(x8701,x8702)+E(f591(x8703,x8704,x8705,x8706,x8707,x8701),f591(x8703,x8704,x8705,x8706,x8707,x8702)) % 159.04/158.77 [871]~E(x8711,x8712)+E(f528(x8711,x8713,x8714,x8715),f528(x8712,x8713,x8714,x8715)) % 159.04/158.77 [872]~E(x8721,x8722)+E(f528(x8723,x8721,x8724,x8725),f528(x8723,x8722,x8724,x8725)) % 159.04/158.77 [873]~E(x8731,x8732)+E(f528(x8733,x8734,x8731,x8735),f528(x8733,x8734,x8732,x8735)) % 159.04/158.77 [874]~E(x8741,x8742)+E(f528(x8743,x8744,x8745,x8741),f528(x8743,x8744,x8745,x8742)) % 159.04/158.77 [875]~E(x8751,x8752)+E(f855(x8751),f855(x8752)) % 159.04/158.77 [876]~E(x8761,x8762)+E(f505(x8761,x8763,x8764),f505(x8762,x8763,x8764)) % 159.04/158.77 [877]~E(x8771,x8772)+E(f505(x8773,x8771,x8774),f505(x8773,x8772,x8774)) % 159.04/158.77 [878]~E(x8781,x8782)+E(f505(x8783,x8784,x8781),f505(x8783,x8784,x8782)) % 159.04/158.77 [879]~E(x8791,x8792)+E(f279(x8791,x8793,x8794,x8795),f279(x8792,x8793,x8794,x8795)) % 159.04/158.77 [880]~E(x8801,x8802)+E(f279(x8803,x8801,x8804,x8805),f279(x8803,x8802,x8804,x8805)) % 159.04/158.77 [881]~E(x8811,x8812)+E(f279(x8813,x8814,x8811,x8815),f279(x8813,x8814,x8812,x8815)) % 159.04/158.77 [882]~E(x8821,x8822)+E(f279(x8823,x8824,x8825,x8821),f279(x8823,x8824,x8825,x8822)) % 159.04/158.77 [883]~E(x8831,x8832)+E(f54(x8831,x8833),f54(x8832,x8833)) % 159.04/158.77 [884]~E(x8841,x8842)+E(f54(x8843,x8841),f54(x8843,x8842)) % 159.04/158.77 [885]~E(x8851,x8852)+E(f274(x8851,x8853),f274(x8852,x8853)) % 159.04/158.77 [886]~E(x8861,x8862)+E(f274(x8863,x8861),f274(x8863,x8862)) % 159.04/158.77 [887]~E(x8871,x8872)+E(f767(x8871,x8873,x8874,x8875,x8876),f767(x8872,x8873,x8874,x8875,x8876)) % 159.04/158.77 [888]~E(x8881,x8882)+E(f767(x8883,x8881,x8884,x8885,x8886),f767(x8883,x8882,x8884,x8885,x8886)) % 159.04/158.77 [889]~E(x8891,x8892)+E(f767(x8893,x8894,x8891,x8895,x8896),f767(x8893,x8894,x8892,x8895,x8896)) % 159.04/158.77 [890]~E(x8901,x8902)+E(f767(x8903,x8904,x8905,x8901,x8906),f767(x8903,x8904,x8905,x8902,x8906)) % 159.04/158.77 [891]~E(x8911,x8912)+E(f767(x8913,x8914,x8915,x8916,x8911),f767(x8913,x8914,x8915,x8916,x8912)) % 159.04/158.77 [892]~E(x8921,x8922)+E(f199(x8921,x8923),f199(x8922,x8923)) % 159.04/158.77 [893]~E(x8931,x8932)+E(f199(x8933,x8931),f199(x8933,x8932)) % 159.04/158.77 [894]~E(x8941,x8942)+E(f687(x8941,x8943),f687(x8942,x8943)) % 159.04/158.77 [895]~E(x8951,x8952)+E(f687(x8953,x8951),f687(x8953,x8952)) % 159.04/158.77 [896]~E(x8961,x8962)+E(f123(x8961,x8963),f123(x8962,x8963)) % 159.04/158.77 [897]~E(x8971,x8972)+E(f123(x8973,x8971),f123(x8973,x8972)) % 159.04/158.77 [898]~E(x8981,x8982)+E(f651(x8981,x8983,x8984,x8985,x8986,x8987,x8988,x8989),f651(x8982,x8983,x8984,x8985,x8986,x8987,x8988,x8989)) % 159.04/158.77 [899]~E(x8991,x8992)+E(f651(x8993,x8991,x8994,x8995,x8996,x8997,x8998,x8999),f651(x8993,x8992,x8994,x8995,x8996,x8997,x8998,x8999)) % 159.04/158.77 [900]~E(x9001,x9002)+E(f651(x9003,x9004,x9001,x9005,x9006,x9007,x9008,x9009),f651(x9003,x9004,x9002,x9005,x9006,x9007,x9008,x9009)) % 159.04/158.77 [901]~E(x9011,x9012)+E(f651(x9013,x9014,x9015,x9011,x9016,x9017,x9018,x9019),f651(x9013,x9014,x9015,x9012,x9016,x9017,x9018,x9019)) % 159.04/158.77 [902]~E(x9021,x9022)+E(f651(x9023,x9024,x9025,x9026,x9021,x9027,x9028,x9029),f651(x9023,x9024,x9025,x9026,x9022,x9027,x9028,x9029)) % 159.04/158.77 [903]~E(x9031,x9032)+E(f651(x9033,x9034,x9035,x9036,x9037,x9031,x9038,x9039),f651(x9033,x9034,x9035,x9036,x9037,x9032,x9038,x9039)) % 159.04/158.77 [904]~E(x9041,x9042)+E(f651(x9043,x9044,x9045,x9046,x9047,x9048,x9041,x9049),f651(x9043,x9044,x9045,x9046,x9047,x9048,x9042,x9049)) % 159.04/158.77 [905]~E(x9051,x9052)+E(f651(x9053,x9054,x9055,x9056,x9057,x9058,x9059,x9051),f651(x9053,x9054,x9055,x9056,x9057,x9058,x9059,x9052)) % 159.04/158.77 [906]~E(x9061,x9062)+E(f624(x9061,x9063),f624(x9062,x9063)) % 159.04/158.77 [907]~E(x9071,x9072)+E(f624(x9073,x9071),f624(x9073,x9072)) % 159.04/158.77 [908]~E(x9081,x9082)+E(f381(x9081,x9083,x9084,x9085,x9086),f381(x9082,x9083,x9084,x9085,x9086)) % 159.04/158.77 [909]~E(x9091,x9092)+E(f381(x9093,x9091,x9094,x9095,x9096),f381(x9093,x9092,x9094,x9095,x9096)) % 159.04/158.77 [910]~E(x9101,x9102)+E(f381(x9103,x9104,x9101,x9105,x9106),f381(x9103,x9104,x9102,x9105,x9106)) % 159.04/158.77 [911]~E(x9111,x9112)+E(f381(x9113,x9114,x9115,x9111,x9116),f381(x9113,x9114,x9115,x9112,x9116)) % 159.04/158.77 [912]~E(x9121,x9122)+E(f381(x9123,x9124,x9125,x9126,x9121),f381(x9123,x9124,x9125,x9126,x9122)) % 159.04/158.77 [913]~E(x9131,x9132)+E(f768(x9131,x9133,x9134,x9135,x9136),f768(x9132,x9133,x9134,x9135,x9136)) % 159.04/158.77 [914]~E(x9141,x9142)+E(f768(x9143,x9141,x9144,x9145,x9146),f768(x9143,x9142,x9144,x9145,x9146)) % 159.04/158.77 [915]~E(x9151,x9152)+E(f768(x9153,x9154,x9151,x9155,x9156),f768(x9153,x9154,x9152,x9155,x9156)) % 159.04/158.77 [916]~E(x9161,x9162)+E(f768(x9163,x9164,x9165,x9161,x9166),f768(x9163,x9164,x9165,x9162,x9166)) % 159.04/158.77 [917]~E(x9171,x9172)+E(f768(x9173,x9174,x9175,x9176,x9171),f768(x9173,x9174,x9175,x9176,x9172)) % 159.04/158.77 [918]~E(x9181,x9182)+E(f587(x9181,x9183),f587(x9182,x9183)) % 159.04/158.77 [919]~E(x9191,x9192)+E(f587(x9193,x9191),f587(x9193,x9192)) % 159.04/158.77 [920]~E(x9201,x9202)+E(f383(x9201,x9203,x9204,x9205,x9206,x9207),f383(x9202,x9203,x9204,x9205,x9206,x9207)) % 159.04/158.77 [921]~E(x9211,x9212)+E(f383(x9213,x9211,x9214,x9215,x9216,x9217),f383(x9213,x9212,x9214,x9215,x9216,x9217)) % 159.04/158.77 [922]~E(x9221,x9222)+E(f383(x9223,x9224,x9221,x9225,x9226,x9227),f383(x9223,x9224,x9222,x9225,x9226,x9227)) % 159.04/158.77 [923]~E(x9231,x9232)+E(f383(x9233,x9234,x9235,x9231,x9236,x9237),f383(x9233,x9234,x9235,x9232,x9236,x9237)) % 159.04/158.77 [924]~E(x9241,x9242)+E(f383(x9243,x9244,x9245,x9246,x9241,x9247),f383(x9243,x9244,x9245,x9246,x9242,x9247)) % 159.04/158.77 [925]~E(x9251,x9252)+E(f383(x9253,x9254,x9255,x9256,x9257,x9251),f383(x9253,x9254,x9255,x9256,x9257,x9252)) % 159.04/158.77 [926]~E(x9261,x9262)+E(f670(x9261,x9263,x9264),f670(x9262,x9263,x9264)) % 159.04/158.77 [927]~E(x9271,x9272)+E(f670(x9273,x9271,x9274),f670(x9273,x9272,x9274)) % 159.04/158.77 [928]~E(x9281,x9282)+E(f670(x9283,x9284,x9281),f670(x9283,x9284,x9282)) % 159.04/158.77 [929]~E(x9291,x9292)+E(f671(x9291,x9293,x9294,x9295),f671(x9292,x9293,x9294,x9295)) % 159.04/158.77 [930]~E(x9301,x9302)+E(f671(x9303,x9301,x9304,x9305),f671(x9303,x9302,x9304,x9305)) % 159.04/158.77 [931]~E(x9311,x9312)+E(f671(x9313,x9314,x9311,x9315),f671(x9313,x9314,x9312,x9315)) % 159.04/158.77 [932]~E(x9321,x9322)+E(f671(x9323,x9324,x9325,x9321),f671(x9323,x9324,x9325,x9322)) % 159.04/158.77 [933]~E(x9331,x9332)+E(f821(x9331,x9333,x9334),f821(x9332,x9333,x9334)) % 159.04/158.77 [934]~E(x9341,x9342)+E(f821(x9343,x9341,x9344),f821(x9343,x9342,x9344)) % 159.04/158.77 [935]~E(x9351,x9352)+E(f821(x9353,x9354,x9351),f821(x9353,x9354,x9352)) % 159.04/158.77 [936]~E(x9361,x9362)+E(f318(x9361,x9363,x9364,x9365,x9366),f318(x9362,x9363,x9364,x9365,x9366)) % 159.04/158.77 [937]~E(x9371,x9372)+E(f318(x9373,x9371,x9374,x9375,x9376),f318(x9373,x9372,x9374,x9375,x9376)) % 159.04/158.77 [938]~E(x9381,x9382)+E(f318(x9383,x9384,x9381,x9385,x9386),f318(x9383,x9384,x9382,x9385,x9386)) % 159.04/158.77 [939]~E(x9391,x9392)+E(f318(x9393,x9394,x9395,x9391,x9396),f318(x9393,x9394,x9395,x9392,x9396)) % 159.04/158.77 [940]~E(x9401,x9402)+E(f318(x9403,x9404,x9405,x9406,x9401),f318(x9403,x9404,x9405,x9406,x9402)) % 159.04/158.77 [941]~E(x9411,x9412)+E(f365(x9411,x9413,x9414,x9415,x9416),f365(x9412,x9413,x9414,x9415,x9416)) % 159.04/158.77 [942]~E(x9421,x9422)+E(f365(x9423,x9421,x9424,x9425,x9426),f365(x9423,x9422,x9424,x9425,x9426)) % 159.04/158.77 [943]~E(x9431,x9432)+E(f365(x9433,x9434,x9431,x9435,x9436),f365(x9433,x9434,x9432,x9435,x9436)) % 159.04/158.77 [944]~E(x9441,x9442)+E(f365(x9443,x9444,x9445,x9441,x9446),f365(x9443,x9444,x9445,x9442,x9446)) % 159.04/158.77 [945]~E(x9451,x9452)+E(f365(x9453,x9454,x9455,x9456,x9451),f365(x9453,x9454,x9455,x9456,x9452)) % 159.04/158.77 [946]~E(x9461,x9462)+E(f820(x9461,x9463,x9464),f820(x9462,x9463,x9464)) % 159.04/158.77 [947]~E(x9471,x9472)+E(f820(x9473,x9471,x9474),f820(x9473,x9472,x9474)) % 159.04/158.77 [948]~E(x9481,x9482)+E(f820(x9483,x9484,x9481),f820(x9483,x9484,x9482)) % 159.04/158.77 [949]~E(x9491,x9492)+E(f44(x9491),f44(x9492)) % 159.04/158.77 [950]~E(x9501,x9502)+E(f486(x9501,x9503,x9504,x9505),f486(x9502,x9503,x9504,x9505)) % 159.04/158.77 [951]~E(x9511,x9512)+E(f486(x9513,x9511,x9514,x9515),f486(x9513,x9512,x9514,x9515)) % 159.04/158.77 [952]~E(x9521,x9522)+E(f486(x9523,x9524,x9521,x9525),f486(x9523,x9524,x9522,x9525)) % 159.04/158.77 [953]~E(x9531,x9532)+E(f486(x9533,x9534,x9535,x9531),f486(x9533,x9534,x9535,x9532)) % 159.04/158.77 [954]~E(x9541,x9542)+E(f747(x9541,x9543,x9544,x9545,x9546,x9547,x9548,x9549),f747(x9542,x9543,x9544,x9545,x9546,x9547,x9548,x9549)) % 159.04/158.77 [955]~E(x9551,x9552)+E(f747(x9553,x9551,x9554,x9555,x9556,x9557,x9558,x9559),f747(x9553,x9552,x9554,x9555,x9556,x9557,x9558,x9559)) % 159.04/158.77 [956]~E(x9561,x9562)+E(f747(x9563,x9564,x9561,x9565,x9566,x9567,x9568,x9569),f747(x9563,x9564,x9562,x9565,x9566,x9567,x9568,x9569)) % 159.04/158.77 [957]~E(x9571,x9572)+E(f747(x9573,x9574,x9575,x9571,x9576,x9577,x9578,x9579),f747(x9573,x9574,x9575,x9572,x9576,x9577,x9578,x9579)) % 159.04/158.77 [958]~E(x9581,x9582)+E(f747(x9583,x9584,x9585,x9586,x9581,x9587,x9588,x9589),f747(x9583,x9584,x9585,x9586,x9582,x9587,x9588,x9589)) % 159.04/158.77 [959]~E(x9591,x9592)+E(f747(x9593,x9594,x9595,x9596,x9597,x9591,x9598,x9599),f747(x9593,x9594,x9595,x9596,x9597,x9592,x9598,x9599)) % 159.04/158.77 [960]~E(x9601,x9602)+E(f747(x9603,x9604,x9605,x9606,x9607,x9608,x9601,x9609),f747(x9603,x9604,x9605,x9606,x9607,x9608,x9602,x9609)) % 159.04/158.77 [961]~E(x9611,x9612)+E(f747(x9613,x9614,x9615,x9616,x9617,x9618,x9619,x9611),f747(x9613,x9614,x9615,x9616,x9617,x9618,x9619,x9612)) % 159.04/158.77 [962]~E(x9621,x9622)+E(f493(x9621,x9623,x9624,x9625,x9626),f493(x9622,x9623,x9624,x9625,x9626)) % 159.04/158.77 [963]~E(x9631,x9632)+E(f493(x9633,x9631,x9634,x9635,x9636),f493(x9633,x9632,x9634,x9635,x9636)) % 159.04/158.77 [964]~E(x9641,x9642)+E(f493(x9643,x9644,x9641,x9645,x9646),f493(x9643,x9644,x9642,x9645,x9646)) % 159.04/158.77 [965]~E(x9651,x9652)+E(f493(x9653,x9654,x9655,x9651,x9656),f493(x9653,x9654,x9655,x9652,x9656)) % 159.04/158.77 [966]~E(x9661,x9662)+E(f493(x9663,x9664,x9665,x9666,x9661),f493(x9663,x9664,x9665,x9666,x9662)) % 159.04/158.77 [967]~E(x9671,x9672)+E(f289(x9671,x9673),f289(x9672,x9673)) % 159.04/158.77 [968]~E(x9681,x9682)+E(f289(x9683,x9681),f289(x9683,x9682)) % 159.04/158.77 [969]~E(x9691,x9692)+E(f546(x9691,x9693),f546(x9692,x9693)) % 159.04/158.77 [970]~E(x9701,x9702)+E(f546(x9703,x9701),f546(x9703,x9702)) % 159.04/158.77 [971]~E(x9711,x9712)+E(f271(x9711,x9713,x9714,x9715),f271(x9712,x9713,x9714,x9715)) % 159.04/158.77 [972]~E(x9721,x9722)+E(f271(x9723,x9721,x9724,x9725),f271(x9723,x9722,x9724,x9725)) % 159.04/158.77 [973]~E(x9731,x9732)+E(f271(x9733,x9734,x9731,x9735),f271(x9733,x9734,x9732,x9735)) % 159.04/158.77 [974]~E(x9741,x9742)+E(f271(x9743,x9744,x9745,x9741),f271(x9743,x9744,x9745,x9742)) % 159.04/158.77 [975]~E(x9751,x9752)+E(f525(x9751,x9753,x9754,x9755),f525(x9752,x9753,x9754,x9755)) % 159.04/158.77 [976]~E(x9761,x9762)+E(f525(x9763,x9761,x9764,x9765),f525(x9763,x9762,x9764,x9765)) % 159.04/158.77 [977]~E(x9771,x9772)+E(f525(x9773,x9774,x9771,x9775),f525(x9773,x9774,x9772,x9775)) % 159.04/158.77 [978]~E(x9781,x9782)+E(f525(x9783,x9784,x9785,x9781),f525(x9783,x9784,x9785,x9782)) % 159.04/158.77 [979]~E(x9791,x9792)+E(f743(x9791,x9793,x9794),f743(x9792,x9793,x9794)) % 159.04/158.77 [980]~E(x9801,x9802)+E(f743(x9803,x9801,x9804),f743(x9803,x9802,x9804)) % 159.04/158.77 [981]~E(x9811,x9812)+E(f743(x9813,x9814,x9811),f743(x9813,x9814,x9812)) % 159.04/158.77 [982]~E(x9821,x9822)+E(f834(x9821,x9823),f834(x9822,x9823)) % 159.04/158.77 [983]~E(x9831,x9832)+E(f834(x9833,x9831),f834(x9833,x9832)) % 159.04/158.77 [984]~E(x9841,x9842)+E(f549(x9841,x9843),f549(x9842,x9843)) % 159.04/158.77 [985]~E(x9851,x9852)+E(f549(x9853,x9851),f549(x9853,x9852)) % 159.04/158.77 [986]~E(x9861,x9862)+E(f548(x9861,x9863,x9864),f548(x9862,x9863,x9864)) % 159.04/158.77 [987]~E(x9871,x9872)+E(f548(x9873,x9871,x9874),f548(x9873,x9872,x9874)) % 159.04/158.77 [988]~E(x9881,x9882)+E(f548(x9883,x9884,x9881),f548(x9883,x9884,x9882)) % 159.04/158.77 [989]~E(x9891,x9892)+E(f202(x9891,x9893),f202(x9892,x9893)) % 159.04/158.77 [990]~E(x9901,x9902)+E(f202(x9903,x9901),f202(x9903,x9902)) % 159.04/158.77 [991]~E(x9911,x9912)+E(f529(x9911,x9913,x9914),f529(x9912,x9913,x9914)) % 159.04/158.77 [992]~E(x9921,x9922)+E(f529(x9923,x9921,x9924),f529(x9923,x9922,x9924)) % 159.04/158.77 [993]~E(x9931,x9932)+E(f529(x9933,x9934,x9931),f529(x9933,x9934,x9932)) % 159.04/158.77 [994]~E(x9941,x9942)+E(f668(x9941,x9943,x9944),f668(x9942,x9943,x9944)) % 159.04/158.77 [995]~E(x9951,x9952)+E(f668(x9953,x9951,x9954),f668(x9953,x9952,x9954)) % 159.04/158.77 [996]~E(x9961,x9962)+E(f668(x9963,x9964,x9961),f668(x9963,x9964,x9962)) % 159.04/158.77 [997]~E(x9971,x9972)+E(f789(x9971,x9973,x9974,x9975),f789(x9972,x9973,x9974,x9975)) % 159.04/158.77 [998]~E(x9981,x9982)+E(f789(x9983,x9981,x9984,x9985),f789(x9983,x9982,x9984,x9985)) % 159.04/158.77 [999]~E(x9991,x9992)+E(f789(x9993,x9994,x9991,x9995),f789(x9993,x9994,x9992,x9995)) % 159.04/158.77 [1000]~E(x10001,x10002)+E(f789(x10003,x10004,x10005,x10001),f789(x10003,x10004,x10005,x10002)) % 159.04/158.77 [1001]~E(x10011,x10012)+E(f775(x10011,x10013,x10014,x10015),f775(x10012,x10013,x10014,x10015)) % 159.04/158.77 [1002]~E(x10021,x10022)+E(f775(x10023,x10021,x10024,x10025),f775(x10023,x10022,x10024,x10025)) % 159.04/158.77 [1003]~E(x10031,x10032)+E(f775(x10033,x10034,x10031,x10035),f775(x10033,x10034,x10032,x10035)) % 159.04/158.77 [1004]~E(x10041,x10042)+E(f775(x10043,x10044,x10045,x10041),f775(x10043,x10044,x10045,x10042)) % 159.04/158.77 [1005]~E(x10051,x10052)+E(f373(x10051),f373(x10052)) % 159.04/158.77 [1006]~E(x10061,x10062)+E(f863(x10061,x10063,x10064),f863(x10062,x10063,x10064)) % 159.04/158.77 [1007]~E(x10071,x10072)+E(f863(x10073,x10071,x10074),f863(x10073,x10072,x10074)) % 159.04/158.77 [1008]~E(x10081,x10082)+E(f863(x10083,x10084,x10081),f863(x10083,x10084,x10082)) % 159.04/158.77 [1009]~E(x10091,x10092)+E(f562(x10091,x10093,x10094,x10095),f562(x10092,x10093,x10094,x10095)) % 159.04/158.77 [1010]~E(x10101,x10102)+E(f562(x10103,x10101,x10104,x10105),f562(x10103,x10102,x10104,x10105)) % 159.04/158.77 [1011]~E(x10111,x10112)+E(f562(x10113,x10114,x10111,x10115),f562(x10113,x10114,x10112,x10115)) % 159.04/158.77 [1012]~E(x10121,x10122)+E(f562(x10123,x10124,x10125,x10121),f562(x10123,x10124,x10125,x10122)) % 159.04/158.77 [1013]~E(x10131,x10132)+E(f755(x10131,x10133),f755(x10132,x10133)) % 159.04/158.77 [1014]~E(x10141,x10142)+E(f755(x10143,x10141),f755(x10143,x10142)) % 159.04/158.77 [1015]~E(x10151,x10152)+E(f98(x10151,x10153,x10154,x10155),f98(x10152,x10153,x10154,x10155)) % 159.04/158.77 [1016]~E(x10161,x10162)+E(f98(x10163,x10161,x10164,x10165),f98(x10163,x10162,x10164,x10165)) % 159.04/158.77 [1017]~E(x10171,x10172)+E(f98(x10173,x10174,x10171,x10175),f98(x10173,x10174,x10172,x10175)) % 159.04/158.77 [1018]~E(x10181,x10182)+E(f98(x10183,x10184,x10185,x10181),f98(x10183,x10184,x10185,x10182)) % 159.04/158.77 [1019]~E(x10191,x10192)+E(f131(x10191,x10193,x10194,x10195,x10196),f131(x10192,x10193,x10194,x10195,x10196)) % 159.04/158.77 [1020]~E(x10201,x10202)+E(f131(x10203,x10201,x10204,x10205,x10206),f131(x10203,x10202,x10204,x10205,x10206)) % 159.04/158.77 [1021]~E(x10211,x10212)+E(f131(x10213,x10214,x10211,x10215,x10216),f131(x10213,x10214,x10212,x10215,x10216)) % 159.04/158.77 [1022]~E(x10221,x10222)+E(f131(x10223,x10224,x10225,x10221,x10226),f131(x10223,x10224,x10225,x10222,x10226)) % 159.04/158.77 [1023]~E(x10231,x10232)+E(f131(x10233,x10234,x10235,x10236,x10231),f131(x10233,x10234,x10235,x10236,x10232)) % 159.04/158.77 [1024]~E(x10241,x10242)+E(f339(x10241,x10243,x10244),f339(x10242,x10243,x10244)) % 159.04/158.77 [1025]~E(x10251,x10252)+E(f339(x10253,x10251,x10254),f339(x10253,x10252,x10254)) % 159.04/158.77 [1026]~E(x10261,x10262)+E(f339(x10263,x10264,x10261),f339(x10263,x10264,x10262)) % 159.04/158.77 [1027]~E(x10271,x10272)+E(f521(x10271,x10273,x10274),f521(x10272,x10273,x10274)) % 159.04/158.77 [1028]~E(x10281,x10282)+E(f521(x10283,x10281,x10284),f521(x10283,x10282,x10284)) % 159.04/158.77 [1029]~E(x10291,x10292)+E(f521(x10293,x10294,x10291),f521(x10293,x10294,x10292)) % 159.04/158.77 [1030]~E(x10301,x10302)+E(f701(x10301),f701(x10302)) % 159.04/158.77 [1031]~E(x10311,x10312)+E(f261(x10311,x10313),f261(x10312,x10313)) % 159.04/158.77 [1032]~E(x10321,x10322)+E(f261(x10323,x10321),f261(x10323,x10322)) % 159.04/158.77 [1033]~E(x10331,x10332)+E(f335(x10331,x10333,x10334,x10335),f335(x10332,x10333,x10334,x10335)) % 159.04/158.77 [1034]~E(x10341,x10342)+E(f335(x10343,x10341,x10344,x10345),f335(x10343,x10342,x10344,x10345)) % 159.04/158.77 [1035]~E(x10351,x10352)+E(f335(x10353,x10354,x10351,x10355),f335(x10353,x10354,x10352,x10355)) % 159.04/158.77 [1036]~E(x10361,x10362)+E(f335(x10363,x10364,x10365,x10361),f335(x10363,x10364,x10365,x10362)) % 159.04/158.77 [1037]~E(x10371,x10372)+E(f810(x10371,x10373,x10374),f810(x10372,x10373,x10374)) % 159.04/158.77 [1038]~E(x10381,x10382)+E(f810(x10383,x10381,x10384),f810(x10383,x10382,x10384)) % 159.04/158.77 [1039]~E(x10391,x10392)+E(f810(x10393,x10394,x10391),f810(x10393,x10394,x10392)) % 159.04/158.77 [1040]~E(x10401,x10402)+E(f166(x10401,x10403,x10404),f166(x10402,x10403,x10404)) % 159.04/158.77 [1041]~E(x10411,x10412)+E(f166(x10413,x10411,x10414),f166(x10413,x10412,x10414)) % 159.04/158.77 [1042]~E(x10421,x10422)+E(f166(x10423,x10424,x10421),f166(x10423,x10424,x10422)) % 159.04/158.77 [1043]~E(x10431,x10432)+E(f140(x10431),f140(x10432)) % 159.04/158.77 [1044]~E(x10441,x10442)+E(f416(x10441,x10443),f416(x10442,x10443)) % 159.04/158.77 [1045]~E(x10451,x10452)+E(f416(x10453,x10451),f416(x10453,x10452)) % 159.04/158.77 [1046]~E(x10461,x10462)+E(f302(x10461),f302(x10462)) % 159.04/158.77 [1047]~E(x10471,x10472)+E(f731(x10471,x10473,x10474,x10475,x10476),f731(x10472,x10473,x10474,x10475,x10476)) % 159.04/158.77 [1048]~E(x10481,x10482)+E(f731(x10483,x10481,x10484,x10485,x10486),f731(x10483,x10482,x10484,x10485,x10486)) % 159.04/158.77 [1049]~E(x10491,x10492)+E(f731(x10493,x10494,x10491,x10495,x10496),f731(x10493,x10494,x10492,x10495,x10496)) % 159.04/158.77 [1050]~E(x10501,x10502)+E(f731(x10503,x10504,x10505,x10501,x10506),f731(x10503,x10504,x10505,x10502,x10506)) % 159.04/158.77 [1051]~E(x10511,x10512)+E(f731(x10513,x10514,x10515,x10516,x10511),f731(x10513,x10514,x10515,x10516,x10512)) % 159.04/158.77 [1052]~E(x10521,x10522)+E(f725(x10521,x10523,x10524),f725(x10522,x10523,x10524)) % 159.04/158.77 [1053]~E(x10531,x10532)+E(f725(x10533,x10531,x10534),f725(x10533,x10532,x10534)) % 159.04/158.77 [1054]~E(x10541,x10542)+E(f725(x10543,x10544,x10541),f725(x10543,x10544,x10542)) % 159.04/158.77 [1055]~E(x10551,x10552)+E(f553(x10551,x10553,x10554,x10555),f553(x10552,x10553,x10554,x10555)) % 159.04/158.77 [1056]~E(x10561,x10562)+E(f553(x10563,x10561,x10564,x10565),f553(x10563,x10562,x10564,x10565)) % 159.04/158.77 [1057]~E(x10571,x10572)+E(f553(x10573,x10574,x10571,x10575),f553(x10573,x10574,x10572,x10575)) % 159.04/158.77 [1058]~E(x10581,x10582)+E(f553(x10583,x10584,x10585,x10581),f553(x10583,x10584,x10585,x10582)) % 159.04/158.77 [1059]~E(x10591,x10592)+E(f489(x10591,x10593,x10594,x10595,x10596),f489(x10592,x10593,x10594,x10595,x10596)) % 159.04/158.77 [1060]~E(x10601,x10602)+E(f489(x10603,x10601,x10604,x10605,x10606),f489(x10603,x10602,x10604,x10605,x10606)) % 159.04/158.77 [1061]~E(x10611,x10612)+E(f489(x10613,x10614,x10611,x10615,x10616),f489(x10613,x10614,x10612,x10615,x10616)) % 159.04/158.77 [1062]~E(x10621,x10622)+E(f489(x10623,x10624,x10625,x10621,x10626),f489(x10623,x10624,x10625,x10622,x10626)) % 159.04/158.77 [1063]~E(x10631,x10632)+E(f489(x10633,x10634,x10635,x10636,x10631),f489(x10633,x10634,x10635,x10636,x10632)) % 159.04/158.77 [1064]~E(x10641,x10642)+E(f94(x10641),f94(x10642)) % 159.04/158.77 [1065]~E(x10651,x10652)+E(f754(x10651,x10653),f754(x10652,x10653)) % 159.04/158.77 [1066]~E(x10661,x10662)+E(f754(x10663,x10661),f754(x10663,x10662)) % 159.04/158.77 [1067]~E(x10671,x10672)+E(f338(x10671),f338(x10672)) % 159.04/158.77 [1068]~E(x10681,x10682)+E(f128(x10681,x10683,x10684),f128(x10682,x10683,x10684)) % 159.04/158.77 [1069]~E(x10691,x10692)+E(f128(x10693,x10691,x10694),f128(x10693,x10692,x10694)) % 159.04/158.77 [1070]~E(x10701,x10702)+E(f128(x10703,x10704,x10701),f128(x10703,x10704,x10702)) % 159.04/158.77 [1071]~E(x10711,x10712)+E(f638(x10711,x10713,x10714),f638(x10712,x10713,x10714)) % 159.04/158.77 [1072]~E(x10721,x10722)+E(f638(x10723,x10721,x10724),f638(x10723,x10722,x10724)) % 159.04/158.77 [1073]~E(x10731,x10732)+E(f638(x10733,x10734,x10731),f638(x10733,x10734,x10732)) % 159.04/158.77 [1074]~E(x10741,x10742)+E(f746(x10741,x10743),f746(x10742,x10743)) % 159.04/158.77 [1075]~E(x10751,x10752)+E(f746(x10753,x10751),f746(x10753,x10752)) % 159.04/158.77 [1076]~E(x10761,x10762)+E(f680(x10761,x10763),f680(x10762,x10763)) % 159.04/158.77 [1077]~E(x10771,x10772)+E(f680(x10773,x10771),f680(x10773,x10772)) % 159.04/158.77 [1078]~E(x10781,x10782)+E(f543(x10781,x10783,x10784,x10785,x10786),f543(x10782,x10783,x10784,x10785,x10786)) % 159.04/158.77 [1079]~E(x10791,x10792)+E(f543(x10793,x10791,x10794,x10795,x10796),f543(x10793,x10792,x10794,x10795,x10796)) % 159.04/158.77 [1080]~E(x10801,x10802)+E(f543(x10803,x10804,x10801,x10805,x10806),f543(x10803,x10804,x10802,x10805,x10806)) % 159.04/158.77 [1081]~E(x10811,x10812)+E(f543(x10813,x10814,x10815,x10811,x10816),f543(x10813,x10814,x10815,x10812,x10816)) % 159.04/158.77 [1082]~E(x10821,x10822)+E(f543(x10823,x10824,x10825,x10826,x10821),f543(x10823,x10824,x10825,x10826,x10822)) % 159.04/158.77 [1083]~E(x10831,x10832)+E(f169(x10831,x10833,x10834),f169(x10832,x10833,x10834)) % 159.04/158.77 [1084]~E(x10841,x10842)+E(f169(x10843,x10841,x10844),f169(x10843,x10842,x10844)) % 159.04/158.77 [1085]~E(x10851,x10852)+E(f169(x10853,x10854,x10851),f169(x10853,x10854,x10852)) % 159.04/158.77 [1086]~E(x10861,x10862)+E(f232(x10861,x10863,x10864),f232(x10862,x10863,x10864)) % 159.04/158.77 [1087]~E(x10871,x10872)+E(f232(x10873,x10871,x10874),f232(x10873,x10872,x10874)) % 159.04/158.77 [1088]~E(x10881,x10882)+E(f232(x10883,x10884,x10881),f232(x10883,x10884,x10882)) % 159.04/158.77 [1089]~E(x10891,x10892)+E(f536(x10891,x10893,x10894,x10895,x10896),f536(x10892,x10893,x10894,x10895,x10896)) % 159.04/158.77 [1090]~E(x10901,x10902)+E(f536(x10903,x10901,x10904,x10905,x10906),f536(x10903,x10902,x10904,x10905,x10906)) % 159.04/158.77 [1091]~E(x10911,x10912)+E(f536(x10913,x10914,x10911,x10915,x10916),f536(x10913,x10914,x10912,x10915,x10916)) % 159.04/158.77 [1092]~E(x10921,x10922)+E(f536(x10923,x10924,x10925,x10921,x10926),f536(x10923,x10924,x10925,x10922,x10926)) % 159.04/158.77 [1093]~E(x10931,x10932)+E(f536(x10933,x10934,x10935,x10936,x10931),f536(x10933,x10934,x10935,x10936,x10932)) % 159.04/158.77 [1094]~E(x10941,x10942)+E(f762(x10941,x10943),f762(x10942,x10943)) % 159.04/158.77 [1095]~E(x10951,x10952)+E(f762(x10953,x10951),f762(x10953,x10952)) % 159.04/158.77 [1096]~E(x10961,x10962)+E(f792(x10961,x10963,x10964),f792(x10962,x10963,x10964)) % 159.04/158.77 [1097]~E(x10971,x10972)+E(f792(x10973,x10971,x10974),f792(x10973,x10972,x10974)) % 159.04/158.77 [1098]~E(x10981,x10982)+E(f792(x10983,x10984,x10981),f792(x10983,x10984,x10982)) % 159.04/158.77 [1099]~E(x10991,x10992)+E(f558(x10991,x10993,x10994),f558(x10992,x10993,x10994)) % 159.04/158.77 [1100]~E(x11001,x11002)+E(f558(x11003,x11001,x11004),f558(x11003,x11002,x11004)) % 159.04/158.77 [1101]~E(x11011,x11012)+E(f558(x11013,x11014,x11011),f558(x11013,x11014,x11012)) % 159.04/158.77 [1102]~E(x11021,x11022)+E(f642(x11021,x11023,x11024,x11025,x11026),f642(x11022,x11023,x11024,x11025,x11026)) % 159.04/158.77 [1103]~E(x11031,x11032)+E(f642(x11033,x11031,x11034,x11035,x11036),f642(x11033,x11032,x11034,x11035,x11036)) % 159.04/158.77 [1104]~E(x11041,x11042)+E(f642(x11043,x11044,x11041,x11045,x11046),f642(x11043,x11044,x11042,x11045,x11046)) % 159.04/158.77 [1105]~E(x11051,x11052)+E(f642(x11053,x11054,x11055,x11051,x11056),f642(x11053,x11054,x11055,x11052,x11056)) % 159.04/158.77 [1106]~E(x11061,x11062)+E(f642(x11063,x11064,x11065,x11066,x11061),f642(x11063,x11064,x11065,x11066,x11062)) % 159.04/158.77 [1107]~E(x11071,x11072)+E(f664(x11071,x11073),f664(x11072,x11073)) % 159.04/158.77 [1108]~E(x11081,x11082)+E(f664(x11083,x11081),f664(x11083,x11082)) % 159.04/158.77 [1109]~E(x11091,x11092)+E(f260(x11091,x11093,x11094),f260(x11092,x11093,x11094)) % 159.04/158.77 [1110]~E(x11101,x11102)+E(f260(x11103,x11101,x11104),f260(x11103,x11102,x11104)) % 159.04/158.77 [1111]~E(x11111,x11112)+E(f260(x11113,x11114,x11111),f260(x11113,x11114,x11112)) % 159.04/158.77 [1112]~E(x11121,x11122)+E(f405(x11121,x11123,x11124),f405(x11122,x11123,x11124)) % 159.04/158.77 [1113]~E(x11131,x11132)+E(f405(x11133,x11131,x11134),f405(x11133,x11132,x11134)) % 159.04/158.77 [1114]~E(x11141,x11142)+E(f405(x11143,x11144,x11141),f405(x11143,x11144,x11142)) % 159.04/158.77 [1115]~E(x11151,x11152)+E(f769(x11151,x11153,x11154,x11155,x11156),f769(x11152,x11153,x11154,x11155,x11156)) % 159.04/158.77 [1116]~E(x11161,x11162)+E(f769(x11163,x11161,x11164,x11165,x11166),f769(x11163,x11162,x11164,x11165,x11166)) % 159.04/158.77 [1117]~E(x11171,x11172)+E(f769(x11173,x11174,x11171,x11175,x11176),f769(x11173,x11174,x11172,x11175,x11176)) % 159.04/158.77 [1118]~E(x11181,x11182)+E(f769(x11183,x11184,x11185,x11181,x11186),f769(x11183,x11184,x11185,x11182,x11186)) % 159.04/158.77 [1119]~E(x11191,x11192)+E(f769(x11193,x11194,x11195,x11196,x11191),f769(x11193,x11194,x11195,x11196,x11192)) % 159.04/158.77 [1120]~E(x11201,x11202)+E(f848(x11201,x11203,x11204,x11205),f848(x11202,x11203,x11204,x11205)) % 159.04/158.77 [1121]~E(x11211,x11212)+E(f848(x11213,x11211,x11214,x11215),f848(x11213,x11212,x11214,x11215)) % 159.04/158.77 [1122]~E(x11221,x11222)+E(f848(x11223,x11224,x11221,x11225),f848(x11223,x11224,x11222,x11225)) % 159.04/158.77 [1123]~E(x11231,x11232)+E(f848(x11233,x11234,x11235,x11231),f848(x11233,x11234,x11235,x11232)) % 159.04/158.77 [1124]~E(x11241,x11242)+E(f436(x11241,x11243,x11244),f436(x11242,x11243,x11244)) % 159.04/158.77 [1125]~E(x11251,x11252)+E(f436(x11253,x11251,x11254),f436(x11253,x11252,x11254)) % 159.04/158.77 [1126]~E(x11261,x11262)+E(f436(x11263,x11264,x11261),f436(x11263,x11264,x11262)) % 159.04/158.77 [1127]~E(x11271,x11272)+E(f706(x11271,x11273),f706(x11272,x11273)) % 159.04/158.77 [1128]~E(x11281,x11282)+E(f706(x11283,x11281),f706(x11283,x11282)) % 159.04/158.77 [1129]~E(x11291,x11292)+E(f771(x11291,x11293,x11294,x11295,x11296),f771(x11292,x11293,x11294,x11295,x11296)) % 159.04/158.77 [1130]~E(x11301,x11302)+E(f771(x11303,x11301,x11304,x11305,x11306),f771(x11303,x11302,x11304,x11305,x11306)) % 159.04/158.77 [1131]~E(x11311,x11312)+E(f771(x11313,x11314,x11311,x11315,x11316),f771(x11313,x11314,x11312,x11315,x11316)) % 159.04/158.77 [1132]~E(x11321,x11322)+E(f771(x11323,x11324,x11325,x11321,x11326),f771(x11323,x11324,x11325,x11322,x11326)) % 159.04/158.77 [1133]~E(x11331,x11332)+E(f771(x11333,x11334,x11335,x11336,x11331),f771(x11333,x11334,x11335,x11336,x11332)) % 159.04/158.77 [1134]~E(x11341,x11342)+E(f281(x11341,x11343),f281(x11342,x11343)) % 159.04/158.77 [1135]~E(x11351,x11352)+E(f281(x11353,x11351),f281(x11353,x11352)) % 159.04/158.77 [1136]~E(x11361,x11362)+E(f526(x11361,x11363,x11364,x11365),f526(x11362,x11363,x11364,x11365)) % 159.04/158.77 [1137]~E(x11371,x11372)+E(f526(x11373,x11371,x11374,x11375),f526(x11373,x11372,x11374,x11375)) % 159.04/158.77 [1138]~E(x11381,x11382)+E(f526(x11383,x11384,x11381,x11385),f526(x11383,x11384,x11382,x11385)) % 159.04/158.77 [1139]~E(x11391,x11392)+E(f526(x11393,x11394,x11395,x11391),f526(x11393,x11394,x11395,x11392)) % 159.04/158.77 [1140]~E(x11401,x11402)+E(f773(x11401,x11403,x11404,x11405,x11406),f773(x11402,x11403,x11404,x11405,x11406)) % 159.04/158.77 [1141]~E(x11411,x11412)+E(f773(x11413,x11411,x11414,x11415,x11416),f773(x11413,x11412,x11414,x11415,x11416)) % 159.04/158.77 [1142]~E(x11421,x11422)+E(f773(x11423,x11424,x11421,x11425,x11426),f773(x11423,x11424,x11422,x11425,x11426)) % 159.04/158.77 [1143]~E(x11431,x11432)+E(f773(x11433,x11434,x11435,x11431,x11436),f773(x11433,x11434,x11435,x11432,x11436)) % 159.04/158.77 [1144]~E(x11441,x11442)+E(f773(x11443,x11444,x11445,x11446,x11441),f773(x11443,x11444,x11445,x11446,x11442)) % 159.04/158.77 [1145]~E(x11451,x11452)+E(f401(x11451,x11453,x11454,x11455),f401(x11452,x11453,x11454,x11455)) % 159.04/158.77 [1146]~E(x11461,x11462)+E(f401(x11463,x11461,x11464,x11465),f401(x11463,x11462,x11464,x11465)) % 159.04/158.77 [1147]~E(x11471,x11472)+E(f401(x11473,x11474,x11471,x11475),f401(x11473,x11474,x11472,x11475)) % 159.04/158.77 [1148]~E(x11481,x11482)+E(f401(x11483,x11484,x11485,x11481),f401(x11483,x11484,x11485,x11482)) % 159.04/158.77 [1149]~E(x11491,x11492)+E(f93(x11491,x11493,x11494),f93(x11492,x11493,x11494)) % 159.04/158.77 [1150]~E(x11501,x11502)+E(f93(x11503,x11501,x11504),f93(x11503,x11502,x11504)) % 159.04/158.77 [1151]~E(x11511,x11512)+E(f93(x11513,x11514,x11511),f93(x11513,x11514,x11512)) % 159.04/158.77 [1152]~E(x11521,x11522)+E(f584(x11521,x11523,x11524,x11525),f584(x11522,x11523,x11524,x11525)) % 159.04/158.77 [1153]~E(x11531,x11532)+E(f584(x11533,x11531,x11534,x11535),f584(x11533,x11532,x11534,x11535)) % 159.04/158.77 [1154]~E(x11541,x11542)+E(f584(x11543,x11544,x11541,x11545),f584(x11543,x11544,x11542,x11545)) % 159.04/158.77 [1155]~E(x11551,x11552)+E(f584(x11553,x11554,x11555,x11551),f584(x11553,x11554,x11555,x11552)) % 159.04/158.77 [1156]~E(x11561,x11562)+E(f139(x11561,x11563,x11564),f139(x11562,x11563,x11564)) % 159.04/158.77 [1157]~E(x11571,x11572)+E(f139(x11573,x11571,x11574),f139(x11573,x11572,x11574)) % 159.04/158.77 [1158]~E(x11581,x11582)+E(f139(x11583,x11584,x11581),f139(x11583,x11584,x11582)) % 159.04/158.77 [1159]~E(x11591,x11592)+E(f813(x11591,x11593,x11594,x11595),f813(x11592,x11593,x11594,x11595)) % 159.04/158.77 [1160]~E(x11601,x11602)+E(f813(x11603,x11601,x11604,x11605),f813(x11603,x11602,x11604,x11605)) % 159.04/158.77 [1161]~E(x11611,x11612)+E(f813(x11613,x11614,x11611,x11615),f813(x11613,x11614,x11612,x11615)) % 159.04/158.77 [1162]~E(x11621,x11622)+E(f813(x11623,x11624,x11625,x11621),f813(x11623,x11624,x11625,x11622)) % 159.04/158.77 [1163]~E(x11631,x11632)+E(f99(x11631,x11633,x11634,x11635),f99(x11632,x11633,x11634,x11635)) % 159.04/158.77 [1164]~E(x11641,x11642)+E(f99(x11643,x11641,x11644,x11645),f99(x11643,x11642,x11644,x11645)) % 159.04/158.77 [1165]~E(x11651,x11652)+E(f99(x11653,x11654,x11651,x11655),f99(x11653,x11654,x11652,x11655)) % 159.04/158.77 [1166]~E(x11661,x11662)+E(f99(x11663,x11664,x11665,x11661),f99(x11663,x11664,x11665,x11662)) % 159.04/158.77 [1167]~E(x11671,x11672)+E(f496(x11671,x11673,x11674,x11675),f496(x11672,x11673,x11674,x11675)) % 159.04/158.77 [1168]~E(x11681,x11682)+E(f496(x11683,x11681,x11684,x11685),f496(x11683,x11682,x11684,x11685)) % 159.04/158.77 [1169]~E(x11691,x11692)+E(f496(x11693,x11694,x11691,x11695),f496(x11693,x11694,x11692,x11695)) % 159.04/158.77 [1170]~E(x11701,x11702)+E(f496(x11703,x11704,x11705,x11701),f496(x11703,x11704,x11705,x11702)) % 159.04/158.77 [1171]~E(x11711,x11712)+E(f379(x11711,x11713,x11714),f379(x11712,x11713,x11714)) % 159.04/158.77 [1172]~E(x11721,x11722)+E(f379(x11723,x11721,x11724),f379(x11723,x11722,x11724)) % 159.04/158.77 [1173]~E(x11731,x11732)+E(f379(x11733,x11734,x11731),f379(x11733,x11734,x11732)) % 159.04/158.77 [1174]~E(x11741,x11742)+E(f841(x11741,x11743),f841(x11742,x11743)) % 159.04/158.77 [1175]~E(x11751,x11752)+E(f841(x11753,x11751),f841(x11753,x11752)) % 159.04/158.77 [1176]~E(x11761,x11762)+E(f717(x11761,x11763,x11764,x11765,x11766,x11767),f717(x11762,x11763,x11764,x11765,x11766,x11767)) % 159.04/158.77 [1177]~E(x11771,x11772)+E(f717(x11773,x11771,x11774,x11775,x11776,x11777),f717(x11773,x11772,x11774,x11775,x11776,x11777)) % 159.04/158.77 [1178]~E(x11781,x11782)+E(f717(x11783,x11784,x11781,x11785,x11786,x11787),f717(x11783,x11784,x11782,x11785,x11786,x11787)) % 159.04/158.77 [1179]~E(x11791,x11792)+E(f717(x11793,x11794,x11795,x11791,x11796,x11797),f717(x11793,x11794,x11795,x11792,x11796,x11797)) % 159.04/158.77 [1180]~E(x11801,x11802)+E(f717(x11803,x11804,x11805,x11806,x11801,x11807),f717(x11803,x11804,x11805,x11806,x11802,x11807)) % 159.04/158.77 [1181]~E(x11811,x11812)+E(f717(x11813,x11814,x11815,x11816,x11817,x11811),f717(x11813,x11814,x11815,x11816,x11817,x11812)) % 159.04/158.77 [1182]~E(x11821,x11822)+E(f438(x11821,x11823,x11824,x11825),f438(x11822,x11823,x11824,x11825)) % 159.04/158.77 [1183]~E(x11831,x11832)+E(f438(x11833,x11831,x11834,x11835),f438(x11833,x11832,x11834,x11835)) % 159.04/158.77 [1184]~E(x11841,x11842)+E(f438(x11843,x11844,x11841,x11845),f438(x11843,x11844,x11842,x11845)) % 159.04/158.77 [1185]~E(x11851,x11852)+E(f438(x11853,x11854,x11855,x11851),f438(x11853,x11854,x11855,x11852)) % 159.04/158.77 [1186]~E(x11861,x11862)+E(f659(x11861,x11863,x11864),f659(x11862,x11863,x11864)) % 159.04/158.77 [1187]~E(x11871,x11872)+E(f659(x11873,x11871,x11874),f659(x11873,x11872,x11874)) % 159.04/158.77 [1188]~E(x11881,x11882)+E(f659(x11883,x11884,x11881),f659(x11883,x11884,x11882)) % 159.04/158.77 [1189]~E(x11891,x11892)+E(f209(x11891,x11893),f209(x11892,x11893)) % 159.04/158.77 [1190]~E(x11901,x11902)+E(f209(x11903,x11901),f209(x11903,x11902)) % 159.04/158.77 [1191]~E(x11911,x11912)+E(f223(x11911,x11913),f223(x11912,x11913)) % 159.04/158.77 [1192]~E(x11921,x11922)+E(f223(x11923,x11921),f223(x11923,x11922)) % 159.04/158.77 [1193]~E(x11931,x11932)+E(f127(x11931),f127(x11932)) % 159.04/158.77 [1194]~E(x11941,x11942)+E(f705(x11941,x11943,x11944,x11945,x11946,x11947),f705(x11942,x11943,x11944,x11945,x11946,x11947)) % 159.04/158.77 [1195]~E(x11951,x11952)+E(f705(x11953,x11951,x11954,x11955,x11956,x11957),f705(x11953,x11952,x11954,x11955,x11956,x11957)) % 159.04/158.77 [1196]~E(x11961,x11962)+E(f705(x11963,x11964,x11961,x11965,x11966,x11967),f705(x11963,x11964,x11962,x11965,x11966,x11967)) % 159.04/158.77 [1197]~E(x11971,x11972)+E(f705(x11973,x11974,x11975,x11971,x11976,x11977),f705(x11973,x11974,x11975,x11972,x11976,x11977)) % 159.04/158.77 [1198]~E(x11981,x11982)+E(f705(x11983,x11984,x11985,x11986,x11981,x11987),f705(x11983,x11984,x11985,x11986,x11982,x11987)) % 159.04/158.77 [1199]~E(x11991,x11992)+E(f705(x11993,x11994,x11995,x11996,x11997,x11991),f705(x11993,x11994,x11995,x11996,x11997,x11992)) % 159.04/158.77 [1200]~E(x12001,x12002)+E(f839(x12001,x12003,x12004),f839(x12002,x12003,x12004)) % 159.04/158.77 [1201]~E(x12011,x12012)+E(f839(x12013,x12011,x12014),f839(x12013,x12012,x12014)) % 159.04/158.77 [1202]~E(x12021,x12022)+E(f839(x12023,x12024,x12021),f839(x12023,x12024,x12022)) % 159.04/158.77 [1203]~E(x12031,x12032)+E(f794(x12031,x12033),f794(x12032,x12033)) % 159.04/158.77 [1204]~E(x12041,x12042)+E(f794(x12043,x12041),f794(x12043,x12042)) % 159.04/158.77 [1205]~E(x12051,x12052)+E(f277(x12051,x12053),f277(x12052,x12053)) % 159.04/158.77 [1206]~E(x12061,x12062)+E(f277(x12063,x12061),f277(x12063,x12062)) % 159.04/158.77 [1207]~E(x12071,x12072)+E(f213(x12071),f213(x12072)) % 159.04/158.77 [1208]~E(x12081,x12082)+E(f742(x12081,x12083,x12084),f742(x12082,x12083,x12084)) % 159.04/158.77 [1209]~E(x12091,x12092)+E(f742(x12093,x12091,x12094),f742(x12093,x12092,x12094)) % 159.04/158.77 [1210]~E(x12101,x12102)+E(f742(x12103,x12104,x12101),f742(x12103,x12104,x12102)) % 159.04/158.77 [1211]~E(x12111,x12112)+E(f476(x12111,x12113,x12114,x12115),f476(x12112,x12113,x12114,x12115)) % 159.04/158.77 [1212]~E(x12121,x12122)+E(f476(x12123,x12121,x12124,x12125),f476(x12123,x12122,x12124,x12125)) % 159.04/158.77 [1213]~E(x12131,x12132)+E(f476(x12133,x12134,x12131,x12135),f476(x12133,x12134,x12132,x12135)) % 159.04/158.77 [1214]~E(x12141,x12142)+E(f476(x12143,x12144,x12145,x12141),f476(x12143,x12144,x12145,x12142)) % 159.04/158.77 [1215]~E(x12151,x12152)+E(f220(x12151,x12153,x12154,x12155,x12156,x12157,x12158),f220(x12152,x12153,x12154,x12155,x12156,x12157,x12158)) % 159.04/158.77 [1216]~E(x12161,x12162)+E(f220(x12163,x12161,x12164,x12165,x12166,x12167,x12168),f220(x12163,x12162,x12164,x12165,x12166,x12167,x12168)) % 159.04/158.77 [1217]~E(x12171,x12172)+E(f220(x12173,x12174,x12171,x12175,x12176,x12177,x12178),f220(x12173,x12174,x12172,x12175,x12176,x12177,x12178)) % 159.04/158.77 [1218]~E(x12181,x12182)+E(f220(x12183,x12184,x12185,x12181,x12186,x12187,x12188),f220(x12183,x12184,x12185,x12182,x12186,x12187,x12188)) % 159.04/158.77 [1219]~E(x12191,x12192)+E(f220(x12193,x12194,x12195,x12196,x12191,x12197,x12198),f220(x12193,x12194,x12195,x12196,x12192,x12197,x12198)) % 159.04/158.77 [1220]~E(x12201,x12202)+E(f220(x12203,x12204,x12205,x12206,x12207,x12201,x12208),f220(x12203,x12204,x12205,x12206,x12207,x12202,x12208)) % 159.04/158.77 [1221]~E(x12211,x12212)+E(f220(x12213,x12214,x12215,x12216,x12217,x12218,x12211),f220(x12213,x12214,x12215,x12216,x12217,x12218,x12212)) % 159.04/158.77 [1222]~E(x12221,x12222)+E(f459(x12221,x12223,x12224),f459(x12222,x12223,x12224)) % 159.04/158.77 [1223]~E(x12231,x12232)+E(f459(x12233,x12231,x12234),f459(x12233,x12232,x12234)) % 159.04/158.77 [1224]~E(x12241,x12242)+E(f459(x12243,x12244,x12241),f459(x12243,x12244,x12242)) % 159.04/158.77 [1225]~E(x12251,x12252)+E(f354(x12251),f354(x12252)) % 159.04/158.77 [1226]~E(x12261,x12262)+E(f374(x12261,x12263),f374(x12262,x12263)) % 159.04/158.77 [1227]~E(x12271,x12272)+E(f374(x12273,x12271),f374(x12273,x12272)) % 159.04/158.77 [1228]~E(x12281,x12282)+E(f846(x12281,x12283,x12284,x12285,x12286),f846(x12282,x12283,x12284,x12285,x12286)) % 159.04/158.77 [1229]~E(x12291,x12292)+E(f846(x12293,x12291,x12294,x12295,x12296),f846(x12293,x12292,x12294,x12295,x12296)) % 159.04/158.77 [1230]~E(x12301,x12302)+E(f846(x12303,x12304,x12301,x12305,x12306),f846(x12303,x12304,x12302,x12305,x12306)) % 159.04/158.77 [1231]~E(x12311,x12312)+E(f846(x12313,x12314,x12315,x12311,x12316),f846(x12313,x12314,x12315,x12312,x12316)) % 159.04/158.77 [1232]~E(x12321,x12322)+E(f846(x12323,x12324,x12325,x12326,x12321),f846(x12323,x12324,x12325,x12326,x12322)) % 159.04/158.77 [1233]~E(x12331,x12332)+E(f790(x12331,x12333,x12334),f790(x12332,x12333,x12334)) % 159.04/158.77 [1234]~E(x12341,x12342)+E(f790(x12343,x12341,x12344),f790(x12343,x12342,x12344)) % 159.04/158.77 [1235]~E(x12351,x12352)+E(f790(x12353,x12354,x12351),f790(x12353,x12354,x12352)) % 159.04/158.77 [1236]~E(x12361,x12362)+E(f173(x12361,x12363,x12364),f173(x12362,x12363,x12364)) % 159.04/158.77 [1237]~E(x12371,x12372)+E(f173(x12373,x12371,x12374),f173(x12373,x12372,x12374)) % 159.04/158.77 [1238]~E(x12381,x12382)+E(f173(x12383,x12384,x12381),f173(x12383,x12384,x12382)) % 159.04/158.77 [1239]~E(x12391,x12392)+E(f296(x12391,x12393,x12394),f296(x12392,x12393,x12394)) % 159.04/158.77 [1240]~E(x12401,x12402)+E(f296(x12403,x12401,x12404),f296(x12403,x12402,x12404)) % 159.04/158.77 [1241]~E(x12411,x12412)+E(f296(x12413,x12414,x12411),f296(x12413,x12414,x12412)) % 159.04/158.77 [1242]~E(x12421,x12422)+E(f450(x12421,x12423,x12424),f450(x12422,x12423,x12424)) % 159.04/158.77 [1243]~E(x12431,x12432)+E(f450(x12433,x12431,x12434),f450(x12433,x12432,x12434)) % 159.04/158.77 [1244]~E(x12441,x12442)+E(f450(x12443,x12444,x12441),f450(x12443,x12444,x12442)) % 159.04/158.77 [1245]~E(x12451,x12452)+E(f532(x12451,x12453,x12454),f532(x12452,x12453,x12454)) % 159.04/158.77 [1246]~E(x12461,x12462)+E(f532(x12463,x12461,x12464),f532(x12463,x12462,x12464)) % 159.04/158.77 [1247]~E(x12471,x12472)+E(f532(x12473,x12474,x12471),f532(x12473,x12474,x12472)) % 159.04/158.77 [1248]~E(x12481,x12482)+E(f280(x12481,x12483,x12484),f280(x12482,x12483,x12484)) % 159.04/158.77 [1249]~E(x12491,x12492)+E(f280(x12493,x12491,x12494),f280(x12493,x12492,x12494)) % 159.04/158.77 [1250]~E(x12501,x12502)+E(f280(x12503,x12504,x12501),f280(x12503,x12504,x12502)) % 159.04/158.77 [1251]~E(x12511,x12512)+E(f714(x12511,x12513,x12514,x12515,x12516,x12517),f714(x12512,x12513,x12514,x12515,x12516,x12517)) % 159.04/158.77 [1252]~E(x12521,x12522)+E(f714(x12523,x12521,x12524,x12525,x12526,x12527),f714(x12523,x12522,x12524,x12525,x12526,x12527)) % 159.04/158.77 [1253]~E(x12531,x12532)+E(f714(x12533,x12534,x12531,x12535,x12536,x12537),f714(x12533,x12534,x12532,x12535,x12536,x12537)) % 159.04/158.77 [1254]~E(x12541,x12542)+E(f714(x12543,x12544,x12545,x12541,x12546,x12547),f714(x12543,x12544,x12545,x12542,x12546,x12547)) % 159.04/158.77 [1255]~E(x12551,x12552)+E(f714(x12553,x12554,x12555,x12556,x12551,x12557),f714(x12553,x12554,x12555,x12556,x12552,x12557)) % 159.04/158.77 [1256]~E(x12561,x12562)+E(f714(x12563,x12564,x12565,x12566,x12567,x12561),f714(x12563,x12564,x12565,x12566,x12567,x12562)) % 159.04/158.77 [1257]~E(x12571,x12572)+E(f163(x12571,x12573,x12574,x12575),f163(x12572,x12573,x12574,x12575)) % 159.04/158.77 [1258]~E(x12581,x12582)+E(f163(x12583,x12581,x12584,x12585),f163(x12583,x12582,x12584,x12585)) % 159.04/158.77 [1259]~E(x12591,x12592)+E(f163(x12593,x12594,x12591,x12595),f163(x12593,x12594,x12592,x12595)) % 159.04/158.77 [1260]~E(x12601,x12602)+E(f163(x12603,x12604,x12605,x12601),f163(x12603,x12604,x12605,x12602)) % 159.04/158.77 [1261]~E(x12611,x12612)+E(f596(x12611,x12613,x12614),f596(x12612,x12613,x12614)) % 159.04/158.77 [1262]~E(x12621,x12622)+E(f596(x12623,x12621,x12624),f596(x12623,x12622,x12624)) % 159.04/158.77 [1263]~E(x12631,x12632)+E(f596(x12633,x12634,x12631),f596(x12633,x12634,x12632)) % 159.04/158.77 [1264]~E(x12641,x12642)+E(f803(x12641,x12643,x12644,x12645,x12646),f803(x12642,x12643,x12644,x12645,x12646)) % 159.04/158.77 [1265]~E(x12651,x12652)+E(f803(x12653,x12651,x12654,x12655,x12656),f803(x12653,x12652,x12654,x12655,x12656)) % 159.04/158.77 [1266]~E(x12661,x12662)+E(f803(x12663,x12664,x12661,x12665,x12666),f803(x12663,x12664,x12662,x12665,x12666)) % 159.04/158.77 [1267]~E(x12671,x12672)+E(f803(x12673,x12674,x12675,x12671,x12676),f803(x12673,x12674,x12675,x12672,x12676)) % 159.04/158.77 [1268]~E(x12681,x12682)+E(f803(x12683,x12684,x12685,x12686,x12681),f803(x12683,x12684,x12685,x12686,x12682)) % 159.04/158.77 [1269]~E(x12691,x12692)+E(f748(x12691,x12693,x12694,x12695,x12696),f748(x12692,x12693,x12694,x12695,x12696)) % 159.04/158.77 [1270]~E(x12701,x12702)+E(f748(x12703,x12701,x12704,x12705,x12706),f748(x12703,x12702,x12704,x12705,x12706)) % 159.04/158.77 [1271]~E(x12711,x12712)+E(f748(x12713,x12714,x12711,x12715,x12716),f748(x12713,x12714,x12712,x12715,x12716)) % 159.04/158.77 [1272]~E(x12721,x12722)+E(f748(x12723,x12724,x12725,x12721,x12726),f748(x12723,x12724,x12725,x12722,x12726)) % 159.04/158.77 [1273]~E(x12731,x12732)+E(f748(x12733,x12734,x12735,x12736,x12731),f748(x12733,x12734,x12735,x12736,x12732)) % 159.04/158.77 [1274]~E(x12741,x12742)+E(f805(x12741,x12743,x12744),f805(x12742,x12743,x12744)) % 159.04/158.77 [1275]~E(x12751,x12752)+E(f805(x12753,x12751,x12754),f805(x12753,x12752,x12754)) % 159.04/158.77 [1276]~E(x12761,x12762)+E(f805(x12763,x12764,x12761),f805(x12763,x12764,x12762)) % 159.04/158.77 [1277]~E(x12771,x12772)+E(f446(x12771,x12773),f446(x12772,x12773)) % 159.04/158.77 [1278]~E(x12781,x12782)+E(f446(x12783,x12781),f446(x12783,x12782)) % 159.04/158.77 [1279]~E(x12791,x12792)+E(f145(x12791,x12793),f145(x12792,x12793)) % 159.04/158.77 [1280]~E(x12801,x12802)+E(f145(x12803,x12801),f145(x12803,x12802)) % 159.04/158.77 [1281]~E(x12811,x12812)+E(f257(x12811,x12813,x12814),f257(x12812,x12813,x12814)) % 159.04/158.77 [1282]~E(x12821,x12822)+E(f257(x12823,x12821,x12824),f257(x12823,x12822,x12824)) % 159.04/158.77 [1283]~E(x12831,x12832)+E(f257(x12833,x12834,x12831),f257(x12833,x12834,x12832)) % 159.04/158.77 [1284]~E(x12841,x12842)+E(f356(x12841),f356(x12842)) % 159.04/158.77 [1285]~E(x12851,x12852)+E(f212(x12851,x12853),f212(x12852,x12853)) % 159.04/158.77 [1286]~E(x12861,x12862)+E(f212(x12863,x12861),f212(x12863,x12862)) % 159.04/158.77 [1287]~E(x12871,x12872)+E(f349(x12871,x12873,x12874),f349(x12872,x12873,x12874)) % 159.04/158.77 [1288]~E(x12881,x12882)+E(f349(x12883,x12881,x12884),f349(x12883,x12882,x12884)) % 159.04/158.77 [1289]~E(x12891,x12892)+E(f349(x12893,x12894,x12891),f349(x12893,x12894,x12892)) % 159.04/158.77 [1290]~E(x12901,x12902)+E(f672(x12901,x12903,x12904,x12905),f672(x12902,x12903,x12904,x12905)) % 159.04/158.77 [1291]~E(x12911,x12912)+E(f672(x12913,x12911,x12914,x12915),f672(x12913,x12912,x12914,x12915)) % 159.04/158.77 [1292]~E(x12921,x12922)+E(f672(x12923,x12924,x12921,x12925),f672(x12923,x12924,x12922,x12925)) % 159.04/158.77 [1293]~E(x12931,x12932)+E(f672(x12933,x12934,x12935,x12931),f672(x12933,x12934,x12935,x12932)) % 159.04/158.77 [1294]~E(x12941,x12942)+E(f665(x12941,x12943),f665(x12942,x12943)) % 159.04/158.77 [1295]~E(x12951,x12952)+E(f665(x12953,x12951),f665(x12953,x12952)) % 159.04/158.77 [1296]~E(x12961,x12962)+E(f294(x12961,x12963,x12964,x12965),f294(x12962,x12963,x12964,x12965)) % 159.04/158.77 [1297]~E(x12971,x12972)+E(f294(x12973,x12971,x12974,x12975),f294(x12973,x12972,x12974,x12975)) % 159.04/158.77 [1298]~E(x12981,x12982)+E(f294(x12983,x12984,x12981,x12985),f294(x12983,x12984,x12982,x12985)) % 159.04/158.77 [1299]~E(x12991,x12992)+E(f294(x12993,x12994,x12995,x12991),f294(x12993,x12994,x12995,x12992)) % 159.04/158.77 [1300]~E(x13001,x13002)+E(f429(x13001,x13003,x13004,x13005,x13006),f429(x13002,x13003,x13004,x13005,x13006)) % 159.04/158.77 [1301]~E(x13011,x13012)+E(f429(x13013,x13011,x13014,x13015,x13016),f429(x13013,x13012,x13014,x13015,x13016)) % 159.04/158.77 [1302]~E(x13021,x13022)+E(f429(x13023,x13024,x13021,x13025,x13026),f429(x13023,x13024,x13022,x13025,x13026)) % 159.04/158.77 [1303]~E(x13031,x13032)+E(f429(x13033,x13034,x13035,x13031,x13036),f429(x13033,x13034,x13035,x13032,x13036)) % 159.04/158.77 [1304]~E(x13041,x13042)+E(f429(x13043,x13044,x13045,x13046,x13041),f429(x13043,x13044,x13045,x13046,x13042)) % 159.04/158.77 [1305]~E(x13051,x13052)+E(f133(x13051),f133(x13052)) % 159.04/158.77 [1306]~E(x13061,x13062)+E(f586(x13061,x13063,x13064),f586(x13062,x13063,x13064)) % 159.04/158.77 [1307]~E(x13071,x13072)+E(f586(x13073,x13071,x13074),f586(x13073,x13072,x13074)) % 159.04/158.77 [1308]~E(x13081,x13082)+E(f586(x13083,x13084,x13081),f586(x13083,x13084,x13082)) % 159.04/158.77 [1309]~E(x13091,x13092)+E(f715(x13091,x13093,x13094,x13095,x13096,x13097),f715(x13092,x13093,x13094,x13095,x13096,x13097)) % 159.04/158.77 [1310]~E(x13101,x13102)+E(f715(x13103,x13101,x13104,x13105,x13106,x13107),f715(x13103,x13102,x13104,x13105,x13106,x13107)) % 159.04/158.77 [1311]~E(x13111,x13112)+E(f715(x13113,x13114,x13111,x13115,x13116,x13117),f715(x13113,x13114,x13112,x13115,x13116,x13117)) % 159.04/158.77 [1312]~E(x13121,x13122)+E(f715(x13123,x13124,x13125,x13121,x13126,x13127),f715(x13123,x13124,x13125,x13122,x13126,x13127)) % 159.04/158.77 [1313]~E(x13131,x13132)+E(f715(x13133,x13134,x13135,x13136,x13131,x13137),f715(x13133,x13134,x13135,x13136,x13132,x13137)) % 159.04/158.77 [1314]~E(x13141,x13142)+E(f715(x13143,x13144,x13145,x13146,x13147,x13141),f715(x13143,x13144,x13145,x13146,x13147,x13142)) % 159.04/158.77 [1315]~E(x13151,x13152)+E(f423(x13151,x13153,x13154,x13155,x13156,x13157,x13158,x13159),f423(x13152,x13153,x13154,x13155,x13156,x13157,x13158,x13159)) % 159.04/158.77 [1316]~E(x13161,x13162)+E(f423(x13163,x13161,x13164,x13165,x13166,x13167,x13168,x13169),f423(x13163,x13162,x13164,x13165,x13166,x13167,x13168,x13169)) % 159.04/158.77 [1317]~E(x13171,x13172)+E(f423(x13173,x13174,x13171,x13175,x13176,x13177,x13178,x13179),f423(x13173,x13174,x13172,x13175,x13176,x13177,x13178,x13179)) % 159.04/158.77 [1318]~E(x13181,x13182)+E(f423(x13183,x13184,x13185,x13181,x13186,x13187,x13188,x13189),f423(x13183,x13184,x13185,x13182,x13186,x13187,x13188,x13189)) % 159.04/158.77 [1319]~E(x13191,x13192)+E(f423(x13193,x13194,x13195,x13196,x13191,x13197,x13198,x13199),f423(x13193,x13194,x13195,x13196,x13192,x13197,x13198,x13199)) % 159.04/158.77 [1320]~E(x13201,x13202)+E(f423(x13203,x13204,x13205,x13206,x13207,x13201,x13208,x13209),f423(x13203,x13204,x13205,x13206,x13207,x13202,x13208,x13209)) % 159.04/158.77 [1321]~E(x13211,x13212)+E(f423(x13213,x13214,x13215,x13216,x13217,x13218,x13211,x13219),f423(x13213,x13214,x13215,x13216,x13217,x13218,x13212,x13219)) % 159.04/158.77 [1322]~E(x13221,x13222)+E(f423(x13223,x13224,x13225,x13226,x13227,x13228,x13229,x13221),f423(x13223,x13224,x13225,x13226,x13227,x13228,x13229,x13222)) % 159.04/158.77 [1323]~E(x13231,x13232)+E(f618(x13231,x13233,x13234,x13235,x13236),f618(x13232,x13233,x13234,x13235,x13236)) % 159.04/158.77 [1324]~E(x13241,x13242)+E(f618(x13243,x13241,x13244,x13245,x13246),f618(x13243,x13242,x13244,x13245,x13246)) % 159.04/158.77 [1325]~E(x13251,x13252)+E(f618(x13253,x13254,x13251,x13255,x13256),f618(x13253,x13254,x13252,x13255,x13256)) % 159.04/158.77 [1326]~E(x13261,x13262)+E(f618(x13263,x13264,x13265,x13261,x13266),f618(x13263,x13264,x13265,x13262,x13266)) % 159.04/158.77 [1327]~E(x13271,x13272)+E(f618(x13273,x13274,x13275,x13276,x13271),f618(x13273,x13274,x13275,x13276,x13272)) % 159.04/158.77 [1328]~E(x13281,x13282)+E(f506(x13281,x13283,x13284),f506(x13282,x13283,x13284)) % 159.04/158.77 [1329]~E(x13291,x13292)+E(f506(x13293,x13291,x13294),f506(x13293,x13292,x13294)) % 159.04/158.77 [1330]~E(x13301,x13302)+E(f506(x13303,x13304,x13301),f506(x13303,x13304,x13302)) % 159.04/158.77 [1331]~E(x13311,x13312)+E(f448(x13311),f448(x13312)) % 159.04/158.77 [1332]~E(x13321,x13322)+E(f282(x13321,x13323,x13324,x13325),f282(x13322,x13323,x13324,x13325)) % 159.04/158.77 [1333]~E(x13331,x13332)+E(f282(x13333,x13331,x13334,x13335),f282(x13333,x13332,x13334,x13335)) % 159.04/158.77 [1334]~E(x13341,x13342)+E(f282(x13343,x13344,x13341,x13345),f282(x13343,x13344,x13342,x13345)) % 159.04/158.77 [1335]~E(x13351,x13352)+E(f282(x13353,x13354,x13355,x13351),f282(x13353,x13354,x13355,x13352)) % 159.04/158.77 [1336]~E(x13361,x13362)+E(f447(x13361,x13363,x13364,x13365,x13366,x13367),f447(x13362,x13363,x13364,x13365,x13366,x13367)) % 159.04/158.77 [1337]~E(x13371,x13372)+E(f447(x13373,x13371,x13374,x13375,x13376,x13377),f447(x13373,x13372,x13374,x13375,x13376,x13377)) % 159.04/158.77 [1338]~E(x13381,x13382)+E(f447(x13383,x13384,x13381,x13385,x13386,x13387),f447(x13383,x13384,x13382,x13385,x13386,x13387)) % 159.04/158.77 [1339]~E(x13391,x13392)+E(f447(x13393,x13394,x13395,x13391,x13396,x13397),f447(x13393,x13394,x13395,x13392,x13396,x13397)) % 159.04/158.77 [1340]~E(x13401,x13402)+E(f447(x13403,x13404,x13405,x13406,x13401,x13407),f447(x13403,x13404,x13405,x13406,x13402,x13407)) % 159.04/158.77 [1341]~E(x13411,x13412)+E(f447(x13413,x13414,x13415,x13416,x13417,x13411),f447(x13413,x13414,x13415,x13416,x13417,x13412)) % 159.04/158.77 [1342]~E(x13421,x13422)+E(f800(x13421,x13423,x13424,x13425,x13426,x13427),f800(x13422,x13423,x13424,x13425,x13426,x13427)) % 159.04/158.77 [1343]~E(x13431,x13432)+E(f800(x13433,x13431,x13434,x13435,x13436,x13437),f800(x13433,x13432,x13434,x13435,x13436,x13437)) % 159.04/158.77 [1344]~E(x13441,x13442)+E(f800(x13443,x13444,x13441,x13445,x13446,x13447),f800(x13443,x13444,x13442,x13445,x13446,x13447)) % 159.04/158.77 [1345]~E(x13451,x13452)+E(f800(x13453,x13454,x13455,x13451,x13456,x13457),f800(x13453,x13454,x13455,x13452,x13456,x13457)) % 159.04/158.77 [1346]~E(x13461,x13462)+E(f800(x13463,x13464,x13465,x13466,x13461,x13467),f800(x13463,x13464,x13465,x13466,x13462,x13467)) % 159.04/158.77 [1347]~E(x13471,x13472)+E(f800(x13473,x13474,x13475,x13476,x13477,x13471),f800(x13473,x13474,x13475,x13476,x13477,x13472)) % 159.04/158.77 [1348]~E(x13481,x13482)+E(f315(x13481),f315(x13482)) % 159.04/158.77 [1349]~E(x13491,x13492)+E(f801(x13491,x13493,x13494,x13495,x13496,x13497),f801(x13492,x13493,x13494,x13495,x13496,x13497)) % 159.04/158.77 [1350]~E(x13501,x13502)+E(f801(x13503,x13501,x13504,x13505,x13506,x13507),f801(x13503,x13502,x13504,x13505,x13506,x13507)) % 159.04/158.77 [1351]~E(x13511,x13512)+E(f801(x13513,x13514,x13511,x13515,x13516,x13517),f801(x13513,x13514,x13512,x13515,x13516,x13517)) % 159.04/158.77 [1352]~E(x13521,x13522)+E(f801(x13523,x13524,x13525,x13521,x13526,x13527),f801(x13523,x13524,x13525,x13522,x13526,x13527)) % 159.04/158.77 [1353]~E(x13531,x13532)+E(f801(x13533,x13534,x13535,x13536,x13531,x13537),f801(x13533,x13534,x13535,x13536,x13532,x13537)) % 159.04/158.77 [1354]~E(x13541,x13542)+E(f801(x13543,x13544,x13545,x13546,x13547,x13541),f801(x13543,x13544,x13545,x13546,x13547,x13542)) % 159.04/158.77 [1355]~E(x13551,x13552)+E(f822(x13551,x13553,x13554),f822(x13552,x13553,x13554)) % 159.04/158.77 [1356]~E(x13561,x13562)+E(f822(x13563,x13561,x13564),f822(x13563,x13562,x13564)) % 159.04/158.77 [1357]~E(x13571,x13572)+E(f822(x13573,x13574,x13571),f822(x13573,x13574,x13572)) % 159.04/158.77 [1358]~E(x13581,x13582)+E(f759(x13581,x13583,x13584,x13585,x13586),f759(x13582,x13583,x13584,x13585,x13586)) % 159.04/158.77 [1359]~E(x13591,x13592)+E(f759(x13593,x13591,x13594,x13595,x13596),f759(x13593,x13592,x13594,x13595,x13596)) % 159.04/158.77 [1360]~E(x13601,x13602)+E(f759(x13603,x13604,x13601,x13605,x13606),f759(x13603,x13604,x13602,x13605,x13606)) % 159.04/158.77 [1361]~E(x13611,x13612)+E(f759(x13613,x13614,x13615,x13611,x13616),f759(x13613,x13614,x13615,x13612,x13616)) % 159.04/158.77 [1362]~E(x13621,x13622)+E(f759(x13623,x13624,x13625,x13626,x13621),f759(x13623,x13624,x13625,x13626,x13622)) % 159.04/158.77 [1363]~E(x13631,x13632)+E(f758(x13631,x13633,x13634,x13635,x13636),f758(x13632,x13633,x13634,x13635,x13636)) % 159.04/158.77 [1364]~E(x13641,x13642)+E(f758(x13643,x13641,x13644,x13645,x13646),f758(x13643,x13642,x13644,x13645,x13646)) % 159.04/158.77 [1365]~E(x13651,x13652)+E(f758(x13653,x13654,x13651,x13655,x13656),f758(x13653,x13654,x13652,x13655,x13656)) % 159.04/158.77 [1366]~E(x13661,x13662)+E(f758(x13663,x13664,x13665,x13661,x13666),f758(x13663,x13664,x13665,x13662,x13666)) % 159.04/158.77 [1367]~E(x13671,x13672)+E(f758(x13673,x13674,x13675,x13676,x13671),f758(x13673,x13674,x13675,x13676,x13672)) % 159.04/158.77 [1368]~E(x13681,x13682)+E(f351(x13681,x13683,x13684,x13685),f351(x13682,x13683,x13684,x13685)) % 159.04/158.77 [1369]~E(x13691,x13692)+E(f351(x13693,x13691,x13694,x13695),f351(x13693,x13692,x13694,x13695)) % 159.04/158.77 [1370]~E(x13701,x13702)+E(f351(x13703,x13704,x13701,x13705),f351(x13703,x13704,x13702,x13705)) % 159.04/158.77 [1371]~E(x13711,x13712)+E(f351(x13713,x13714,x13715,x13711),f351(x13713,x13714,x13715,x13712)) % 159.04/158.77 [1372]~E(x13721,x13722)+E(f566(x13721,x13723,x13724),f566(x13722,x13723,x13724)) % 159.04/158.77 [1373]~E(x13731,x13732)+E(f566(x13733,x13731,x13734),f566(x13733,x13732,x13734)) % 159.04/158.77 [1374]~E(x13741,x13742)+E(f566(x13743,x13744,x13741),f566(x13743,x13744,x13742)) % 159.04/158.77 [1375]~E(x13751,x13752)+E(f298(x13751,x13753,x13754,x13755,x13756),f298(x13752,x13753,x13754,x13755,x13756)) % 159.04/158.77 [1376]~E(x13761,x13762)+E(f298(x13763,x13761,x13764,x13765,x13766),f298(x13763,x13762,x13764,x13765,x13766)) % 159.04/158.77 [1377]~E(x13771,x13772)+E(f298(x13773,x13774,x13771,x13775,x13776),f298(x13773,x13774,x13772,x13775,x13776)) % 159.04/158.77 [1378]~E(x13781,x13782)+E(f298(x13783,x13784,x13785,x13781,x13786),f298(x13783,x13784,x13785,x13782,x13786)) % 159.04/158.77 [1379]~E(x13791,x13792)+E(f298(x13793,x13794,x13795,x13796,x13791),f298(x13793,x13794,x13795,x13796,x13792)) % 159.04/158.77 [1380]~E(x13801,x13802)+E(f699(x13801,x13803,x13804,x13805,x13806,x13807,x13808,x13809),f699(x13802,x13803,x13804,x13805,x13806,x13807,x13808,x13809)) % 159.04/158.77 [1381]~E(x13811,x13812)+E(f699(x13813,x13811,x13814,x13815,x13816,x13817,x13818,x13819),f699(x13813,x13812,x13814,x13815,x13816,x13817,x13818,x13819)) % 159.04/158.77 [1382]~E(x13821,x13822)+E(f699(x13823,x13824,x13821,x13825,x13826,x13827,x13828,x13829),f699(x13823,x13824,x13822,x13825,x13826,x13827,x13828,x13829)) % 159.04/158.77 [1383]~E(x13831,x13832)+E(f699(x13833,x13834,x13835,x13831,x13836,x13837,x13838,x13839),f699(x13833,x13834,x13835,x13832,x13836,x13837,x13838,x13839)) % 159.04/158.77 [1384]~E(x13841,x13842)+E(f699(x13843,x13844,x13845,x13846,x13841,x13847,x13848,x13849),f699(x13843,x13844,x13845,x13846,x13842,x13847,x13848,x13849)) % 159.04/158.77 [1385]~E(x13851,x13852)+E(f699(x13853,x13854,x13855,x13856,x13857,x13851,x13858,x13859),f699(x13853,x13854,x13855,x13856,x13857,x13852,x13858,x13859)) % 159.04/158.77 [1386]~E(x13861,x13862)+E(f699(x13863,x13864,x13865,x13866,x13867,x13868,x13861,x13869),f699(x13863,x13864,x13865,x13866,x13867,x13868,x13862,x13869)) % 159.04/158.77 [1387]~E(x13871,x13872)+E(f699(x13873,x13874,x13875,x13876,x13877,x13878,x13879,x13871),f699(x13873,x13874,x13875,x13876,x13877,x13878,x13879,x13872)) % 159.04/158.77 [1388]~E(x13881,x13882)+E(f518(x13881,x13883,x13884,x13885,x13886,x13887,x13888),f518(x13882,x13883,x13884,x13885,x13886,x13887,x13888)) % 159.04/158.77 [1389]~E(x13891,x13892)+E(f518(x13893,x13891,x13894,x13895,x13896,x13897,x13898),f518(x13893,x13892,x13894,x13895,x13896,x13897,x13898)) % 159.04/158.77 [1390]~E(x13901,x13902)+E(f518(x13903,x13904,x13901,x13905,x13906,x13907,x13908),f518(x13903,x13904,x13902,x13905,x13906,x13907,x13908)) % 159.04/158.77 [1391]~E(x13911,x13912)+E(f518(x13913,x13914,x13915,x13911,x13916,x13917,x13918),f518(x13913,x13914,x13915,x13912,x13916,x13917,x13918)) % 159.04/158.77 [1392]~E(x13921,x13922)+E(f518(x13923,x13924,x13925,x13926,x13921,x13927,x13928),f518(x13923,x13924,x13925,x13926,x13922,x13927,x13928)) % 159.04/158.77 [1393]~E(x13931,x13932)+E(f518(x13933,x13934,x13935,x13936,x13937,x13931,x13938),f518(x13933,x13934,x13935,x13936,x13937,x13932,x13938)) % 159.04/158.77 [1394]~E(x13941,x13942)+E(f518(x13943,x13944,x13945,x13946,x13947,x13948,x13941),f518(x13943,x13944,x13945,x13946,x13947,x13948,x13942)) % 159.04/158.77 [1395]~E(x13951,x13952)+E(f683(x13951,x13953,x13954,x13955,x13956),f683(x13952,x13953,x13954,x13955,x13956)) % 159.04/158.77 [1396]~E(x13961,x13962)+E(f683(x13963,x13961,x13964,x13965,x13966),f683(x13963,x13962,x13964,x13965,x13966)) % 159.04/158.77 [1397]~E(x13971,x13972)+E(f683(x13973,x13974,x13971,x13975,x13976),f683(x13973,x13974,x13972,x13975,x13976)) % 159.04/158.77 [1398]~E(x13981,x13982)+E(f683(x13983,x13984,x13985,x13981,x13986),f683(x13983,x13984,x13985,x13982,x13986)) % 159.04/158.77 [1399]~E(x13991,x13992)+E(f683(x13993,x13994,x13995,x13996,x13991),f683(x13993,x13994,x13995,x13996,x13992)) % 159.04/158.77 [1400]~E(x14001,x14002)+E(f477(x14001,x14003,x14004,x14005),f477(x14002,x14003,x14004,x14005)) % 159.04/158.77 [1401]~E(x14011,x14012)+E(f477(x14013,x14011,x14014,x14015),f477(x14013,x14012,x14014,x14015)) % 159.04/158.77 [1402]~E(x14021,x14022)+E(f477(x14023,x14024,x14021,x14025),f477(x14023,x14024,x14022,x14025)) % 159.04/158.77 [1403]~E(x14031,x14032)+E(f477(x14033,x14034,x14035,x14031),f477(x14033,x14034,x14035,x14032)) % 159.04/158.77 [1404]~E(x14041,x14042)+E(f601(x14041,x14043,x14044,x14045,x14046),f601(x14042,x14043,x14044,x14045,x14046)) % 159.04/158.77 [1405]~E(x14051,x14052)+E(f601(x14053,x14051,x14054,x14055,x14056),f601(x14053,x14052,x14054,x14055,x14056)) % 159.04/158.77 [1406]~E(x14061,x14062)+E(f601(x14063,x14064,x14061,x14065,x14066),f601(x14063,x14064,x14062,x14065,x14066)) % 159.04/158.77 [1407]~E(x14071,x14072)+E(f601(x14073,x14074,x14075,x14071,x14076),f601(x14073,x14074,x14075,x14072,x14076)) % 159.04/158.77 [1408]~E(x14081,x14082)+E(f601(x14083,x14084,x14085,x14086,x14081),f601(x14083,x14084,x14085,x14086,x14082)) % 159.04/158.77 [1409]~E(x14091,x14092)+E(f744(x14091,x14093,x14094),f744(x14092,x14093,x14094)) % 159.04/158.77 [1410]~E(x14101,x14102)+E(f744(x14103,x14101,x14104),f744(x14103,x14102,x14104)) % 159.04/158.77 [1411]~E(x14111,x14112)+E(f744(x14113,x14114,x14111),f744(x14113,x14114,x14112)) % 159.04/158.77 [1412]~E(x14121,x14122)+E(f465(x14121,x14123,x14124),f465(x14122,x14123,x14124)) % 159.04/158.77 [1413]~E(x14131,x14132)+E(f465(x14133,x14131,x14134),f465(x14133,x14132,x14134)) % 159.04/158.77 [1414]~E(x14141,x14142)+E(f465(x14143,x14144,x14141),f465(x14143,x14144,x14142)) % 159.04/158.77 [1415]~E(x14151,x14152)+E(f466(x14151,x14153,x14154),f466(x14152,x14153,x14154)) % 159.04/158.77 [1416]~E(x14161,x14162)+E(f466(x14163,x14161,x14164),f466(x14163,x14162,x14164)) % 159.04/158.77 [1417]~E(x14171,x14172)+E(f466(x14173,x14174,x14171),f466(x14173,x14174,x14172)) % 159.04/158.77 [1418]~E(x14181,x14182)+E(f238(x14181,x14183,x14184),f238(x14182,x14183,x14184)) % 159.04/158.77 [1419]~E(x14191,x14192)+E(f238(x14193,x14191,x14194),f238(x14193,x14192,x14194)) % 159.04/158.77 [1420]~E(x14201,x14202)+E(f238(x14203,x14204,x14201),f238(x14203,x14204,x14202)) % 159.04/158.77 [1421]~E(x14211,x14212)+E(f592(x14211,x14213,x14214,x14215,x14216,x14217),f592(x14212,x14213,x14214,x14215,x14216,x14217)) % 159.04/158.77 [1422]~E(x14221,x14222)+E(f592(x14223,x14221,x14224,x14225,x14226,x14227),f592(x14223,x14222,x14224,x14225,x14226,x14227)) % 159.04/158.77 [1423]~E(x14231,x14232)+E(f592(x14233,x14234,x14231,x14235,x14236,x14237),f592(x14233,x14234,x14232,x14235,x14236,x14237)) % 159.04/158.77 [1424]~E(x14241,x14242)+E(f592(x14243,x14244,x14245,x14241,x14246,x14247),f592(x14243,x14244,x14245,x14242,x14246,x14247)) % 159.04/158.77 [1425]~E(x14251,x14252)+E(f592(x14253,x14254,x14255,x14256,x14251,x14257),f592(x14253,x14254,x14255,x14256,x14252,x14257)) % 159.04/158.77 [1426]~E(x14261,x14262)+E(f592(x14263,x14264,x14265,x14266,x14267,x14261),f592(x14263,x14264,x14265,x14266,x14267,x14262)) % 159.04/158.77 [1427]~E(x14271,x14272)+E(f864(x14271,x14273,x14274),f864(x14272,x14273,x14274)) % 159.04/158.77 [1428]~E(x14281,x14282)+E(f864(x14283,x14281,x14284),f864(x14283,x14282,x14284)) % 159.04/158.77 [1429]~E(x14291,x14292)+E(f864(x14293,x14294,x14291),f864(x14293,x14294,x14292)) % 159.04/158.77 [1430]~E(x14301,x14302)+E(f541(x14301,x14303,x14304,x14305,x14306),f541(x14302,x14303,x14304,x14305,x14306)) % 159.04/158.77 [1431]~E(x14311,x14312)+E(f541(x14313,x14311,x14314,x14315,x14316),f541(x14313,x14312,x14314,x14315,x14316)) % 159.04/158.77 [1432]~E(x14321,x14322)+E(f541(x14323,x14324,x14321,x14325,x14326),f541(x14323,x14324,x14322,x14325,x14326)) % 159.04/158.77 [1433]~E(x14331,x14332)+E(f541(x14333,x14334,x14335,x14331,x14336),f541(x14333,x14334,x14335,x14332,x14336)) % 159.04/158.77 [1434]~E(x14341,x14342)+E(f541(x14343,x14344,x14345,x14346,x14341),f541(x14343,x14344,x14345,x14346,x14342)) % 159.04/158.77 [1435]~E(x14351,x14352)+E(f614(x14351,x14353,x14354,x14355,x14356,x14357,x14358,x14359,x143510),f614(x14352,x14353,x14354,x14355,x14356,x14357,x14358,x14359,x143510)) % 159.04/158.77 [1436]~E(x14361,x14362)+E(f614(x14363,x14361,x14364,x14365,x14366,x14367,x14368,x14369,x143610),f614(x14363,x14362,x14364,x14365,x14366,x14367,x14368,x14369,x143610)) % 159.04/158.77 [1437]~E(x14371,x14372)+E(f614(x14373,x14374,x14371,x14375,x14376,x14377,x14378,x14379,x143710),f614(x14373,x14374,x14372,x14375,x14376,x14377,x14378,x14379,x143710)) % 159.04/158.77 [1438]~E(x14381,x14382)+E(f614(x14383,x14384,x14385,x14381,x14386,x14387,x14388,x14389,x143810),f614(x14383,x14384,x14385,x14382,x14386,x14387,x14388,x14389,x143810)) % 159.04/158.77 [1439]~E(x14391,x14392)+E(f614(x14393,x14394,x14395,x14396,x14391,x14397,x14398,x14399,x143910),f614(x14393,x14394,x14395,x14396,x14392,x14397,x14398,x14399,x143910)) % 159.04/158.77 [1440]~E(x14401,x14402)+E(f614(x14403,x14404,x14405,x14406,x14407,x14401,x14408,x14409,x144010),f614(x14403,x14404,x14405,x14406,x14407,x14402,x14408,x14409,x144010)) % 159.04/158.77 [1441]~E(x14411,x14412)+E(f614(x14413,x14414,x14415,x14416,x14417,x14418,x14411,x14419,x144110),f614(x14413,x14414,x14415,x14416,x14417,x14418,x14412,x14419,x144110)) % 159.04/158.77 [1442]~E(x14421,x14422)+E(f614(x14423,x14424,x14425,x14426,x14427,x14428,x14429,x14421,x144210),f614(x14423,x14424,x14425,x14426,x14427,x14428,x14429,x14422,x144210)) % 159.04/158.77 [1443]~E(x14431,x14432)+E(f614(x14433,x14434,x14435,x14436,x14437,x14438,x14439,x144310,x14431),f614(x14433,x14434,x14435,x14436,x14437,x14438,x14439,x144310,x14432)) % 159.04/158.77 [1444]~E(x14441,x14442)+E(f540(x14441,x14443,x14444),f540(x14442,x14443,x14444)) % 159.04/158.77 [1445]~E(x14451,x14452)+E(f540(x14453,x14451,x14454),f540(x14453,x14452,x14454)) % 159.04/158.77 [1446]~E(x14461,x14462)+E(f540(x14463,x14464,x14461),f540(x14463,x14464,x14462)) % 159.04/158.77 [1447]~E(x14471,x14472)+E(f799(x14471,x14473,x14474,x14475,x14476,x14477),f799(x14472,x14473,x14474,x14475,x14476,x14477)) % 159.04/158.77 [1448]~E(x14481,x14482)+E(f799(x14483,x14481,x14484,x14485,x14486,x14487),f799(x14483,x14482,x14484,x14485,x14486,x14487)) % 159.04/158.77 [1449]~E(x14491,x14492)+E(f799(x14493,x14494,x14491,x14495,x14496,x14497),f799(x14493,x14494,x14492,x14495,x14496,x14497)) % 159.04/158.77 [1450]~E(x14501,x14502)+E(f799(x14503,x14504,x14505,x14501,x14506,x14507),f799(x14503,x14504,x14505,x14502,x14506,x14507)) % 159.04/158.77 [1451]~E(x14511,x14512)+E(f799(x14513,x14514,x14515,x14516,x14511,x14517),f799(x14513,x14514,x14515,x14516,x14512,x14517)) % 159.04/158.77 [1452]~E(x14521,x14522)+E(f799(x14523,x14524,x14525,x14526,x14527,x14521),f799(x14523,x14524,x14525,x14526,x14527,x14522)) % 159.04/158.77 [1453]~E(x14531,x14532)+E(f772(x14531,x14533,x14534,x14535,x14536),f772(x14532,x14533,x14534,x14535,x14536)) % 159.04/158.77 [1454]~E(x14541,x14542)+E(f772(x14543,x14541,x14544,x14545,x14546),f772(x14543,x14542,x14544,x14545,x14546)) % 159.04/158.77 [1455]~E(x14551,x14552)+E(f772(x14553,x14554,x14551,x14555,x14556),f772(x14553,x14554,x14552,x14555,x14556)) % 159.04/158.77 [1456]~E(x14561,x14562)+E(f772(x14563,x14564,x14565,x14561,x14566),f772(x14563,x14564,x14565,x14562,x14566)) % 159.04/158.77 [1457]~E(x14571,x14572)+E(f772(x14573,x14574,x14575,x14576,x14571),f772(x14573,x14574,x14575,x14576,x14572)) % 159.04/158.77 [1458]~E(x14581,x14582)+E(f582(x14581,x14583,x14584,x14585,x14586,x14587,x14588,x14589),f582(x14582,x14583,x14584,x14585,x14586,x14587,x14588,x14589)) % 159.04/158.77 [1459]~E(x14591,x14592)+E(f582(x14593,x14591,x14594,x14595,x14596,x14597,x14598,x14599),f582(x14593,x14592,x14594,x14595,x14596,x14597,x14598,x14599)) % 159.04/158.77 [1460]~E(x14601,x14602)+E(f582(x14603,x14604,x14601,x14605,x14606,x14607,x14608,x14609),f582(x14603,x14604,x14602,x14605,x14606,x14607,x14608,x14609)) % 159.04/158.77 [1461]~E(x14611,x14612)+E(f582(x14613,x14614,x14615,x14611,x14616,x14617,x14618,x14619),f582(x14613,x14614,x14615,x14612,x14616,x14617,x14618,x14619)) % 159.04/158.77 [1462]~E(x14621,x14622)+E(f582(x14623,x14624,x14625,x14626,x14621,x14627,x14628,x14629),f582(x14623,x14624,x14625,x14626,x14622,x14627,x14628,x14629)) % 159.04/158.77 [1463]~E(x14631,x14632)+E(f582(x14633,x14634,x14635,x14636,x14637,x14631,x14638,x14639),f582(x14633,x14634,x14635,x14636,x14637,x14632,x14638,x14639)) % 159.04/158.77 [1464]~E(x14641,x14642)+E(f582(x14643,x14644,x14645,x14646,x14647,x14648,x14641,x14649),f582(x14643,x14644,x14645,x14646,x14647,x14648,x14642,x14649)) % 159.04/158.77 [1465]~E(x14651,x14652)+E(f582(x14653,x14654,x14655,x14656,x14657,x14658,x14659,x14651),f582(x14653,x14654,x14655,x14656,x14657,x14658,x14659,x14652)) % 159.04/158.77 [1466]~E(x14661,x14662)+E(f745(x14661,x14663,x14664,x14665,x14666,x14667,x14668,x14669),f745(x14662,x14663,x14664,x14665,x14666,x14667,x14668,x14669)) % 159.04/158.77 [1467]~E(x14671,x14672)+E(f745(x14673,x14671,x14674,x14675,x14676,x14677,x14678,x14679),f745(x14673,x14672,x14674,x14675,x14676,x14677,x14678,x14679)) % 159.04/158.77 [1468]~E(x14681,x14682)+E(f745(x14683,x14684,x14681,x14685,x14686,x14687,x14688,x14689),f745(x14683,x14684,x14682,x14685,x14686,x14687,x14688,x14689)) % 159.04/158.77 [1469]~E(x14691,x14692)+E(f745(x14693,x14694,x14695,x14691,x14696,x14697,x14698,x14699),f745(x14693,x14694,x14695,x14692,x14696,x14697,x14698,x14699)) % 159.04/158.77 [1470]~E(x14701,x14702)+E(f745(x14703,x14704,x14705,x14706,x14701,x14707,x14708,x14709),f745(x14703,x14704,x14705,x14706,x14702,x14707,x14708,x14709)) % 159.04/158.77 [1471]~E(x14711,x14712)+E(f745(x14713,x14714,x14715,x14716,x14717,x14711,x14718,x14719),f745(x14713,x14714,x14715,x14716,x14717,x14712,x14718,x14719)) % 159.04/158.77 [1472]~E(x14721,x14722)+E(f745(x14723,x14724,x14725,x14726,x14727,x14728,x14721,x14729),f745(x14723,x14724,x14725,x14726,x14727,x14728,x14722,x14729)) % 159.04/158.77 [1473]~E(x14731,x14732)+E(f745(x14733,x14734,x14735,x14736,x14737,x14738,x14739,x14731),f745(x14733,x14734,x14735,x14736,x14737,x14738,x14739,x14732)) % 159.04/158.77 [1474]~E(x14741,x14742)+E(f402(x14741,x14743,x14744,x14745),f402(x14742,x14743,x14744,x14745)) % 159.04/158.77 [1475]~E(x14751,x14752)+E(f402(x14753,x14751,x14754,x14755),f402(x14753,x14752,x14754,x14755)) % 159.04/158.77 [1476]~E(x14761,x14762)+E(f402(x14763,x14764,x14761,x14765),f402(x14763,x14764,x14762,x14765)) % 159.04/158.77 [1477]~E(x14771,x14772)+E(f402(x14773,x14774,x14775,x14771),f402(x14773,x14774,x14775,x14772)) % 159.04/158.77 [1478]~E(x14781,x14782)+E(f851(x14781,x14783,x14784,x14785,x14786,x14787),f851(x14782,x14783,x14784,x14785,x14786,x14787)) % 159.04/158.77 [1479]~E(x14791,x14792)+E(f851(x14793,x14791,x14794,x14795,x14796,x14797),f851(x14793,x14792,x14794,x14795,x14796,x14797)) % 159.04/158.77 [1480]~E(x14801,x14802)+E(f851(x14803,x14804,x14801,x14805,x14806,x14807),f851(x14803,x14804,x14802,x14805,x14806,x14807)) % 159.04/158.77 [1481]~E(x14811,x14812)+E(f851(x14813,x14814,x14815,x14811,x14816,x14817),f851(x14813,x14814,x14815,x14812,x14816,x14817)) % 159.04/158.77 [1482]~E(x14821,x14822)+E(f851(x14823,x14824,x14825,x14826,x14821,x14827),f851(x14823,x14824,x14825,x14826,x14822,x14827)) % 159.04/158.77 [1483]~E(x14831,x14832)+E(f851(x14833,x14834,x14835,x14836,x14837,x14831),f851(x14833,x14834,x14835,x14836,x14837,x14832)) % 159.04/158.77 [1484]~E(x14841,x14842)+E(f679(x14841,x14843),f679(x14842,x14843)) % 159.04/158.77 [1485]~E(x14851,x14852)+E(f679(x14853,x14851),f679(x14853,x14852)) % 159.04/158.77 [1486]~E(x14861,x14862)+E(f712(x14861,x14863,x14864,x14865,x14866),f712(x14862,x14863,x14864,x14865,x14866)) % 159.04/158.77 [1487]~E(x14871,x14872)+E(f712(x14873,x14871,x14874,x14875,x14876),f712(x14873,x14872,x14874,x14875,x14876)) % 159.04/158.77 [1488]~E(x14881,x14882)+E(f712(x14883,x14884,x14881,x14885,x14886),f712(x14883,x14884,x14882,x14885,x14886)) % 159.04/158.77 [1489]~E(x14891,x14892)+E(f712(x14893,x14894,x14895,x14891,x14896),f712(x14893,x14894,x14895,x14892,x14896)) % 159.04/158.77 [1490]~E(x14901,x14902)+E(f712(x14903,x14904,x14905,x14906,x14901),f712(x14903,x14904,x14905,x14906,x14902)) % 159.04/158.77 [1491]~E(x14911,x14912)+E(f847(x14911,x14913,x14914,x14915),f847(x14912,x14913,x14914,x14915)) % 159.04/158.77 [1492]~E(x14921,x14922)+E(f847(x14923,x14921,x14924,x14925),f847(x14923,x14922,x14924,x14925)) % 159.04/158.77 [1493]~E(x14931,x14932)+E(f847(x14933,x14934,x14931,x14935),f847(x14933,x14934,x14932,x14935)) % 159.04/158.77 [1494]~E(x14941,x14942)+E(f847(x14943,x14944,x14945,x14941),f847(x14943,x14944,x14945,x14942)) % 159.04/158.77 [1495]~E(x14951,x14952)+E(f612(x14951,x14953,x14954,x14955),f612(x14952,x14953,x14954,x14955)) % 159.04/158.77 [1496]~E(x14961,x14962)+E(f612(x14963,x14961,x14964,x14965),f612(x14963,x14962,x14964,x14965)) % 159.04/158.77 [1497]~E(x14971,x14972)+E(f612(x14973,x14974,x14971,x14975),f612(x14973,x14974,x14972,x14975)) % 159.04/158.77 [1498]~E(x14981,x14982)+E(f612(x14983,x14984,x14985,x14981),f612(x14983,x14984,x14985,x14982)) % 159.04/158.77 [1499]~E(x14991,x14992)+E(f96(x14991,x14993,x14994,x14995),f96(x14992,x14993,x14994,x14995)) % 159.04/158.77 [1500]~E(x15001,x15002)+E(f96(x15003,x15001,x15004,x15005),f96(x15003,x15002,x15004,x15005)) % 159.04/158.77 [1501]~E(x15011,x15012)+E(f96(x15013,x15014,x15011,x15015),f96(x15013,x15014,x15012,x15015)) % 159.04/158.77 [1502]~E(x15021,x15022)+E(f96(x15023,x15024,x15025,x15021),f96(x15023,x15024,x15025,x15022)) % 159.04/158.77 [1503]~E(x15031,x15032)+E(f470(x15031,x15033,x15034,x15035,x15036),f470(x15032,x15033,x15034,x15035,x15036)) % 159.04/158.77 [1504]~E(x15041,x15042)+E(f470(x15043,x15041,x15044,x15045,x15046),f470(x15043,x15042,x15044,x15045,x15046)) % 159.04/158.77 [1505]~E(x15051,x15052)+E(f470(x15053,x15054,x15051,x15055,x15056),f470(x15053,x15054,x15052,x15055,x15056)) % 159.04/158.77 [1506]~E(x15061,x15062)+E(f470(x15063,x15064,x15065,x15061,x15066),f470(x15063,x15064,x15065,x15062,x15066)) % 159.04/158.77 [1507]~E(x15071,x15072)+E(f470(x15073,x15074,x15075,x15076,x15071),f470(x15073,x15074,x15075,x15076,x15072)) % 159.04/158.77 [1508]~E(x15081,x15082)+E(f644(x15081,x15083,x15084),f644(x15082,x15083,x15084)) % 159.04/158.77 [1509]~E(x15091,x15092)+E(f644(x15093,x15091,x15094),f644(x15093,x15092,x15094)) % 159.04/158.77 [1510]~E(x15101,x15102)+E(f644(x15103,x15104,x15101),f644(x15103,x15104,x15102)) % 159.04/158.77 [1511]~E(x15111,x15112)+E(f560(x15111,x15113,x15114),f560(x15112,x15113,x15114)) % 159.04/158.77 [1512]~E(x15121,x15122)+E(f560(x15123,x15121,x15124),f560(x15123,x15122,x15124)) % 159.04/158.77 [1513]~E(x15131,x15132)+E(f560(x15133,x15134,x15131),f560(x15133,x15134,x15132)) % 159.04/158.77 [1514]~E(x15141,x15142)+E(f788(x15141,x15143,x15144,x15145,x15146,x15147,x15148),f788(x15142,x15143,x15144,x15145,x15146,x15147,x15148)) % 159.04/158.77 [1515]~E(x15151,x15152)+E(f788(x15153,x15151,x15154,x15155,x15156,x15157,x15158),f788(x15153,x15152,x15154,x15155,x15156,x15157,x15158)) % 159.04/158.77 [1516]~E(x15161,x15162)+E(f788(x15163,x15164,x15161,x15165,x15166,x15167,x15168),f788(x15163,x15164,x15162,x15165,x15166,x15167,x15168)) % 159.04/158.77 [1517]~E(x15171,x15172)+E(f788(x15173,x15174,x15175,x15171,x15176,x15177,x15178),f788(x15173,x15174,x15175,x15172,x15176,x15177,x15178)) % 159.04/158.77 [1518]~E(x15181,x15182)+E(f788(x15183,x15184,x15185,x15186,x15181,x15187,x15188),f788(x15183,x15184,x15185,x15186,x15182,x15187,x15188)) % 159.04/158.77 [1519]~E(x15191,x15192)+E(f788(x15193,x15194,x15195,x15196,x15197,x15191,x15198),f788(x15193,x15194,x15195,x15196,x15197,x15192,x15198)) % 159.04/158.77 [1520]~E(x15201,x15202)+E(f788(x15203,x15204,x15205,x15206,x15207,x15208,x15201),f788(x15203,x15204,x15205,x15206,x15207,x15208,x15202)) % 159.04/158.77 [1521]~E(x15211,x15212)+E(f791(x15211,x15213,x15214),f791(x15212,x15213,x15214)) % 159.04/158.77 [1522]~E(x15221,x15222)+E(f791(x15223,x15221,x15224),f791(x15223,x15222,x15224)) % 159.04/158.77 [1523]~E(x15231,x15232)+E(f791(x15233,x15234,x15231),f791(x15233,x15234,x15232)) % 159.04/158.77 [1524]~E(x15241,x15242)+E(f534(x15241,x15243,x15244),f534(x15242,x15243,x15244)) % 159.04/158.77 [1525]~E(x15251,x15252)+E(f534(x15253,x15251,x15254),f534(x15253,x15252,x15254)) % 159.04/158.77 [1526]~E(x15261,x15262)+E(f534(x15263,x15264,x15261),f534(x15263,x15264,x15262)) % 159.04/158.77 [1527]~E(x15271,x15272)+E(f397(x15271,x15273,x15274,x15275),f397(x15272,x15273,x15274,x15275)) % 159.04/158.77 [1528]~E(x15281,x15282)+E(f397(x15283,x15281,x15284,x15285),f397(x15283,x15282,x15284,x15285)) % 159.04/158.77 [1529]~E(x15291,x15292)+E(f397(x15293,x15294,x15291,x15295),f397(x15293,x15294,x15292,x15295)) % 159.04/158.77 [1530]~E(x15301,x15302)+E(f397(x15303,x15304,x15305,x15301),f397(x15303,x15304,x15305,x15302)) % 159.04/158.77 [1531]~E(x15311,x15312)+E(f214(x15311,x15313,x15314,x15315),f214(x15312,x15313,x15314,x15315)) % 159.04/158.77 [1532]~E(x15321,x15322)+E(f214(x15323,x15321,x15324,x15325),f214(x15323,x15322,x15324,x15325)) % 159.04/158.77 [1533]~E(x15331,x15332)+E(f214(x15333,x15334,x15331,x15335),f214(x15333,x15334,x15332,x15335)) % 159.04/158.77 [1534]~E(x15341,x15342)+E(f214(x15343,x15344,x15345,x15341),f214(x15343,x15344,x15345,x15342)) % 159.04/158.77 [1535]~E(x15351,x15352)+E(f439(x15351,x15353,x15354),f439(x15352,x15353,x15354)) % 159.04/158.77 [1536]~E(x15361,x15362)+E(f439(x15363,x15361,x15364),f439(x15363,x15362,x15364)) % 159.04/158.77 [1537]~E(x15371,x15372)+E(f439(x15373,x15374,x15371),f439(x15373,x15374,x15372)) % 159.04/158.77 [1538]~E(x15381,x15382)+E(f594(x15381,x15383,x15384,x15385),f594(x15382,x15383,x15384,x15385)) % 159.04/158.77 [1539]~E(x15391,x15392)+E(f594(x15393,x15391,x15394,x15395),f594(x15393,x15392,x15394,x15395)) % 159.04/158.77 [1540]~E(x15401,x15402)+E(f594(x15403,x15404,x15401,x15405),f594(x15403,x15404,x15402,x15405)) % 159.04/158.77 [1541]~E(x15411,x15412)+E(f594(x15413,x15414,x15415,x15411),f594(x15413,x15414,x15415,x15412)) % 159.04/158.77 [1542]~E(x15421,x15422)+E(f353(x15421,x15423,x15424,x15425),f353(x15422,x15423,x15424,x15425)) % 159.04/158.77 [1543]~E(x15431,x15432)+E(f353(x15433,x15431,x15434,x15435),f353(x15433,x15432,x15434,x15435)) % 159.04/158.77 [1544]~E(x15441,x15442)+E(f353(x15443,x15444,x15441,x15445),f353(x15443,x15444,x15442,x15445)) % 159.04/158.77 [1545]~E(x15451,x15452)+E(f353(x15453,x15454,x15455,x15451),f353(x15453,x15454,x15455,x15452)) % 159.04/158.77 [1546]~E(x15461,x15462)+E(f604(x15461,x15463,x15464,x15465),f604(x15462,x15463,x15464,x15465)) % 159.04/158.77 [1547]~E(x15471,x15472)+E(f604(x15473,x15471,x15474,x15475),f604(x15473,x15472,x15474,x15475)) % 159.04/158.77 [1548]~E(x15481,x15482)+E(f604(x15483,x15484,x15481,x15485),f604(x15483,x15484,x15482,x15485)) % 159.04/158.77 [1549]~E(x15491,x15492)+E(f604(x15493,x15494,x15495,x15491),f604(x15493,x15494,x15495,x15492)) % 159.04/158.77 [1550]~E(x15501,x15502)+E(f533(x15501),f533(x15502)) % 159.04/158.77 [1551]~E(x15511,x15512)+E(f674(x15511,x15513,x15514,x15515,x15516),f674(x15512,x15513,x15514,x15515,x15516)) % 159.04/158.77 [1552]~E(x15521,x15522)+E(f674(x15523,x15521,x15524,x15525,x15526),f674(x15523,x15522,x15524,x15525,x15526)) % 159.04/158.77 [1553]~E(x15531,x15532)+E(f674(x15533,x15534,x15531,x15535,x15536),f674(x15533,x15534,x15532,x15535,x15536)) % 159.04/158.77 [1554]~E(x15541,x15542)+E(f674(x15543,x15544,x15545,x15541,x15546),f674(x15543,x15544,x15545,x15542,x15546)) % 159.04/158.77 [1555]~E(x15551,x15552)+E(f674(x15553,x15554,x15555,x15556,x15551),f674(x15553,x15554,x15555,x15556,x15552)) % 159.04/158.77 [1556]~E(x15561,x15562)+E(f21(x15561,x15563),f21(x15562,x15563)) % 159.04/158.77 [1557]~E(x15571,x15572)+E(f21(x15573,x15571),f21(x15573,x15572)) % 159.04/158.77 [1558]~E(x15581,x15582)+E(f739(x15581,x15583,x15584,x15585,x15586),f739(x15582,x15583,x15584,x15585,x15586)) % 159.04/158.77 [1559]~E(x15591,x15592)+E(f739(x15593,x15591,x15594,x15595,x15596),f739(x15593,x15592,x15594,x15595,x15596)) % 159.04/158.77 [1560]~E(x15601,x15602)+E(f739(x15603,x15604,x15601,x15605,x15606),f739(x15603,x15604,x15602,x15605,x15606)) % 159.04/158.77 [1561]~E(x15611,x15612)+E(f739(x15613,x15614,x15615,x15611,x15616),f739(x15613,x15614,x15615,x15612,x15616)) % 159.04/158.77 [1562]~E(x15621,x15622)+E(f739(x15623,x15624,x15625,x15626,x15621),f739(x15623,x15624,x15625,x15626,x15622)) % 159.04/158.77 [1563]~E(x15631,x15632)+E(f698(x15631,x15633,x15634,x15635),f698(x15632,x15633,x15634,x15635)) % 159.04/158.77 [1564]~E(x15641,x15642)+E(f698(x15643,x15641,x15644,x15645),f698(x15643,x15642,x15644,x15645)) % 159.04/158.77 [1565]~E(x15651,x15652)+E(f698(x15653,x15654,x15651,x15655),f698(x15653,x15654,x15652,x15655)) % 159.04/158.77 [1566]~E(x15661,x15662)+E(f698(x15663,x15664,x15665,x15661),f698(x15663,x15664,x15665,x15662)) % 159.04/158.77 [1567]~E(x15671,x15672)+E(f174(x15671,x15673,x15674),f174(x15672,x15673,x15674)) % 159.04/158.77 [1568]~E(x15681,x15682)+E(f174(x15683,x15681,x15684),f174(x15683,x15682,x15684)) % 159.04/158.77 [1569]~E(x15691,x15692)+E(f174(x15693,x15694,x15691),f174(x15693,x15694,x15692)) % 159.04/158.77 [1570]~E(x15701,x15702)+E(f724(x15701,x15703,x15704),f724(x15702,x15703,x15704)) % 159.04/158.77 [1571]~E(x15711,x15712)+E(f724(x15713,x15711,x15714),f724(x15713,x15712,x15714)) % 159.04/158.77 [1572]~E(x15721,x15722)+E(f724(x15723,x15724,x15721),f724(x15723,x15724,x15722)) % 159.04/158.77 [1573]~E(x15731,x15732)+E(f162(x15731,x15733,x15734,x15735),f162(x15732,x15733,x15734,x15735)) % 159.04/158.77 [1574]~E(x15741,x15742)+E(f162(x15743,x15741,x15744,x15745),f162(x15743,x15742,x15744,x15745)) % 159.04/158.77 [1575]~E(x15751,x15752)+E(f162(x15753,x15754,x15751,x15755),f162(x15753,x15754,x15752,x15755)) % 159.04/158.77 [1576]~E(x15761,x15762)+E(f162(x15763,x15764,x15765,x15761),f162(x15763,x15764,x15765,x15762)) % 159.04/158.77 [1577]~E(x15771,x15772)+E(f656(x15771,x15773,x15774),f656(x15772,x15773,x15774)) % 159.04/158.77 [1578]~E(x15781,x15782)+E(f656(x15783,x15781,x15784),f656(x15783,x15782,x15784)) % 159.04/158.77 [1579]~E(x15791,x15792)+E(f656(x15793,x15794,x15791),f656(x15793,x15794,x15792)) % 159.04/158.77 [1580]~E(x15801,x15802)+E(f556(x15801,x15803,x15804,x15805),f556(x15802,x15803,x15804,x15805)) % 159.04/158.77 [1581]~E(x15811,x15812)+E(f556(x15813,x15811,x15814,x15815),f556(x15813,x15812,x15814,x15815)) % 159.04/158.77 [1582]~E(x15821,x15822)+E(f556(x15823,x15824,x15821,x15825),f556(x15823,x15824,x15822,x15825)) % 159.04/158.77 [1583]~E(x15831,x15832)+E(f556(x15833,x15834,x15835,x15831),f556(x15833,x15834,x15835,x15832)) % 159.04/158.77 [1584]~E(x15841,x15842)+E(f786(x15841,x15843,x15844,x15845,x15846,x15847),f786(x15842,x15843,x15844,x15845,x15846,x15847)) % 159.04/158.77 [1585]~E(x15851,x15852)+E(f786(x15853,x15851,x15854,x15855,x15856,x15857),f786(x15853,x15852,x15854,x15855,x15856,x15857)) % 159.04/158.77 [1586]~E(x15861,x15862)+E(f786(x15863,x15864,x15861,x15865,x15866,x15867),f786(x15863,x15864,x15862,x15865,x15866,x15867)) % 159.04/158.77 [1587]~E(x15871,x15872)+E(f786(x15873,x15874,x15875,x15871,x15876,x15877),f786(x15873,x15874,x15875,x15872,x15876,x15877)) % 159.04/158.77 [1588]~E(x15881,x15882)+E(f786(x15883,x15884,x15885,x15886,x15881,x15887),f786(x15883,x15884,x15885,x15886,x15882,x15887)) % 159.04/158.77 [1589]~E(x15891,x15892)+E(f786(x15893,x15894,x15895,x15896,x15897,x15891),f786(x15893,x15894,x15895,x15896,x15897,x15892)) % 159.04/158.77 [1590]~E(x15901,x15902)+E(f606(x15901,x15903,x15904,x15905),f606(x15902,x15903,x15904,x15905)) % 159.04/158.77 [1591]~E(x15911,x15912)+E(f606(x15913,x15911,x15914,x15915),f606(x15913,x15912,x15914,x15915)) % 159.04/158.77 [1592]~E(x15921,x15922)+E(f606(x15923,x15924,x15921,x15925),f606(x15923,x15924,x15922,x15925)) % 159.04/158.77 [1593]~E(x15931,x15932)+E(f606(x15933,x15934,x15935,x15931),f606(x15933,x15934,x15935,x15932)) % 159.04/158.77 [1594]~E(x15941,x15942)+E(f509(x15941,x15943,x15944,x15945,x15946),f509(x15942,x15943,x15944,x15945,x15946)) % 159.04/158.77 [1595]~E(x15951,x15952)+E(f509(x15953,x15951,x15954,x15955,x15956),f509(x15953,x15952,x15954,x15955,x15956)) % 159.04/158.77 [1596]~E(x15961,x15962)+E(f509(x15963,x15964,x15961,x15965,x15966),f509(x15963,x15964,x15962,x15965,x15966)) % 159.04/158.77 [1597]~E(x15971,x15972)+E(f509(x15973,x15974,x15975,x15971,x15976),f509(x15973,x15974,x15975,x15972,x15976)) % 159.04/158.77 [1598]~E(x15981,x15982)+E(f509(x15983,x15984,x15985,x15986,x15981),f509(x15983,x15984,x15985,x15986,x15982)) % 159.04/158.77 [1599]~E(x15991,x15992)+E(f452(x15991,x15993,x15994),f452(x15992,x15993,x15994)) % 159.04/158.77 [1600]~E(x16001,x16002)+E(f452(x16003,x16001,x16004),f452(x16003,x16002,x16004)) % 159.04/158.77 [1601]~E(x16011,x16012)+E(f452(x16013,x16014,x16011),f452(x16013,x16014,x16012)) % 159.04/158.77 [1602]~E(x16021,x16022)+E(f780(x16021,x16023,x16024),f780(x16022,x16023,x16024)) % 159.04/158.77 [1603]~E(x16031,x16032)+E(f780(x16033,x16031,x16034),f780(x16033,x16032,x16034)) % 159.04/158.77 [1604]~E(x16041,x16042)+E(f780(x16043,x16044,x16041),f780(x16043,x16044,x16042)) % 159.04/158.77 [1605]~E(x16051,x16052)+E(f408(x16051,x16053,x16054,x16055),f408(x16052,x16053,x16054,x16055)) % 159.04/158.77 [1606]~E(x16061,x16062)+E(f408(x16063,x16061,x16064,x16065),f408(x16063,x16062,x16064,x16065)) % 159.04/158.77 [1607]~E(x16071,x16072)+E(f408(x16073,x16074,x16071,x16075),f408(x16073,x16074,x16072,x16075)) % 159.04/158.77 [1608]~E(x16081,x16082)+E(f408(x16083,x16084,x16085,x16081),f408(x16083,x16084,x16085,x16082)) % 159.04/158.77 [1609]~E(x16091,x16092)+E(f597(x16091,x16093,x16094),f597(x16092,x16093,x16094)) % 159.04/158.77 [1610]~E(x16101,x16102)+E(f597(x16103,x16101,x16104),f597(x16103,x16102,x16104)) % 159.04/158.77 [1611]~E(x16111,x16112)+E(f597(x16113,x16114,x16111),f597(x16113,x16114,x16112)) % 159.04/158.77 [1612]~E(x16121,x16122)+E(f728(x16121,x16123,x16124),f728(x16122,x16123,x16124)) % 159.04/158.77 [1613]~E(x16131,x16132)+E(f728(x16133,x16131,x16134),f728(x16133,x16132,x16134)) % 159.04/158.77 [1614]~E(x16141,x16142)+E(f728(x16143,x16144,x16141),f728(x16143,x16144,x16142)) % 159.04/158.77 [1615]~E(x16151,x16152)+E(f867(x16151,x16153,x16154,x16155,x16156),f867(x16152,x16153,x16154,x16155,x16156)) % 159.04/158.77 [1616]~E(x16161,x16162)+E(f867(x16163,x16161,x16164,x16165,x16166),f867(x16163,x16162,x16164,x16165,x16166)) % 159.04/158.77 [1617]~E(x16171,x16172)+E(f867(x16173,x16174,x16171,x16175,x16176),f867(x16173,x16174,x16172,x16175,x16176)) % 159.04/158.77 [1618]~E(x16181,x16182)+E(f867(x16183,x16184,x16185,x16181,x16186),f867(x16183,x16184,x16185,x16182,x16186)) % 159.04/158.77 [1619]~E(x16191,x16192)+E(f867(x16193,x16194,x16195,x16196,x16191),f867(x16193,x16194,x16195,x16196,x16192)) % 159.04/158.77 [1620]~E(x16201,x16202)+E(f781(x16201,x16203,x16204),f781(x16202,x16203,x16204)) % 159.04/158.77 [1621]~E(x16211,x16212)+E(f781(x16213,x16211,x16214),f781(x16213,x16212,x16214)) % 159.04/158.77 [1622]~E(x16221,x16222)+E(f781(x16223,x16224,x16221),f781(x16223,x16224,x16222)) % 159.04/158.77 [1623]~E(x16231,x16232)+E(f802(x16231,x16233,x16234,x16235),f802(x16232,x16233,x16234,x16235)) % 159.04/158.77 [1624]~E(x16241,x16242)+E(f802(x16243,x16241,x16244,x16245),f802(x16243,x16242,x16244,x16245)) % 159.04/158.77 [1625]~E(x16251,x16252)+E(f802(x16253,x16254,x16251,x16255),f802(x16253,x16254,x16252,x16255)) % 159.04/158.77 [1626]~E(x16261,x16262)+E(f802(x16263,x16264,x16265,x16261),f802(x16263,x16264,x16265,x16262)) % 159.04/158.77 [1627]~E(x16271,x16272)+E(f616(x16271,x16273,x16274,x16275,x16276),f616(x16272,x16273,x16274,x16275,x16276)) % 159.04/158.77 [1628]~E(x16281,x16282)+E(f616(x16283,x16281,x16284,x16285,x16286),f616(x16283,x16282,x16284,x16285,x16286)) % 159.04/158.77 [1629]~E(x16291,x16292)+E(f616(x16293,x16294,x16291,x16295,x16296),f616(x16293,x16294,x16292,x16295,x16296)) % 159.04/158.77 [1630]~E(x16301,x16302)+E(f616(x16303,x16304,x16305,x16301,x16306),f616(x16303,x16304,x16305,x16302,x16306)) % 159.04/158.77 [1631]~E(x16311,x16312)+E(f616(x16313,x16314,x16315,x16316,x16311),f616(x16313,x16314,x16315,x16316,x16312)) % 159.04/158.77 [1632]~E(x16321,x16322)+E(f377(x16321,x16323),f377(x16322,x16323)) % 159.04/158.77 [1633]~E(x16331,x16332)+E(f377(x16333,x16331),f377(x16333,x16332)) % 159.04/158.77 [1634]~E(x16341,x16342)+E(f655(x16341,x16343,x16344),f655(x16342,x16343,x16344)) % 159.04/158.77 [1635]~E(x16351,x16352)+E(f655(x16353,x16351,x16354),f655(x16353,x16352,x16354)) % 159.04/158.77 [1636]~E(x16361,x16362)+E(f655(x16363,x16364,x16361),f655(x16363,x16364,x16362)) % 159.04/158.77 [1637]~E(x16371,x16372)+E(f626(x16371,x16373),f626(x16372,x16373)) % 159.04/158.77 [1638]~E(x16381,x16382)+E(f626(x16383,x16381),f626(x16383,x16382)) % 159.04/158.77 [1639]~E(x16391,x16392)+E(f796(x16391,x16393,x16394,x16395,x16396),f796(x16392,x16393,x16394,x16395,x16396)) % 159.04/158.77 [1640]~E(x16401,x16402)+E(f796(x16403,x16401,x16404,x16405,x16406),f796(x16403,x16402,x16404,x16405,x16406)) % 159.04/158.77 [1641]~E(x16411,x16412)+E(f796(x16413,x16414,x16411,x16415,x16416),f796(x16413,x16414,x16412,x16415,x16416)) % 159.04/158.77 [1642]~E(x16421,x16422)+E(f796(x16423,x16424,x16425,x16421,x16426),f796(x16423,x16424,x16425,x16422,x16426)) % 159.04/158.77 [1643]~E(x16431,x16432)+E(f796(x16433,x16434,x16435,x16436,x16431),f796(x16433,x16434,x16435,x16436,x16432)) % 159.04/158.77 [1644]~E(x16441,x16442)+E(f842(x16441,x16443,x16444,x16445,x16446,x16447),f842(x16442,x16443,x16444,x16445,x16446,x16447)) % 159.04/158.77 [1645]~E(x16451,x16452)+E(f842(x16453,x16451,x16454,x16455,x16456,x16457),f842(x16453,x16452,x16454,x16455,x16456,x16457)) % 159.04/158.77 [1646]~E(x16461,x16462)+E(f842(x16463,x16464,x16461,x16465,x16466,x16467),f842(x16463,x16464,x16462,x16465,x16466,x16467)) % 159.04/158.77 [1647]~E(x16471,x16472)+E(f842(x16473,x16474,x16475,x16471,x16476,x16477),f842(x16473,x16474,x16475,x16472,x16476,x16477)) % 159.04/158.77 [1648]~E(x16481,x16482)+E(f842(x16483,x16484,x16485,x16486,x16481,x16487),f842(x16483,x16484,x16485,x16486,x16482,x16487)) % 159.04/158.77 [1649]~E(x16491,x16492)+E(f842(x16493,x16494,x16495,x16496,x16497,x16491),f842(x16493,x16494,x16495,x16496,x16497,x16492)) % 159.04/158.77 [1650]~E(x16501,x16502)+E(f711(x16501,x16503,x16504,x16505),f711(x16502,x16503,x16504,x16505)) % 159.04/158.77 [1651]~E(x16511,x16512)+E(f711(x16513,x16511,x16514,x16515),f711(x16513,x16512,x16514,x16515)) % 159.04/158.77 [1652]~E(x16521,x16522)+E(f711(x16523,x16524,x16521,x16525),f711(x16523,x16524,x16522,x16525)) % 159.04/158.77 [1653]~E(x16531,x16532)+E(f711(x16533,x16534,x16535,x16531),f711(x16533,x16534,x16535,x16532)) % 159.04/158.77 [1654]~E(x16541,x16542)+E(f449(x16541,x16543),f449(x16542,x16543)) % 159.04/158.77 [1655]~E(x16551,x16552)+E(f449(x16553,x16551),f449(x16553,x16552)) % 159.04/158.77 [1656]~E(x16561,x16562)+E(f815(x16561,x16563,x16564,x16565,x16566),f815(x16562,x16563,x16564,x16565,x16566)) % 159.04/158.77 [1657]~E(x16571,x16572)+E(f815(x16573,x16571,x16574,x16575,x16576),f815(x16573,x16572,x16574,x16575,x16576)) % 159.04/158.77 [1658]~E(x16581,x16582)+E(f815(x16583,x16584,x16581,x16585,x16586),f815(x16583,x16584,x16582,x16585,x16586)) % 159.04/158.77 [1659]~E(x16591,x16592)+E(f815(x16593,x16594,x16595,x16591,x16596),f815(x16593,x16594,x16595,x16592,x16596)) % 159.04/158.77 [1660]~E(x16601,x16602)+E(f815(x16603,x16604,x16605,x16606,x16601),f815(x16603,x16604,x16605,x16606,x16602)) % 159.04/158.77 [1661]~E(x16611,x16612)+E(f684(x16611,x16613),f684(x16612,x16613)) % 159.04/158.77 [1662]~E(x16621,x16622)+E(f684(x16623,x16621),f684(x16623,x16622)) % 159.04/158.77 [1663]~E(x16631,x16632)+E(f776(x16631,x16633,x16634,x16635),f776(x16632,x16633,x16634,x16635)) % 159.04/158.77 [1664]~E(x16641,x16642)+E(f776(x16643,x16641,x16644,x16645),f776(x16643,x16642,x16644,x16645)) % 159.04/158.77 [1665]~E(x16651,x16652)+E(f776(x16653,x16654,x16651,x16655),f776(x16653,x16654,x16652,x16655)) % 159.04/158.77 [1666]~E(x16661,x16662)+E(f776(x16663,x16664,x16665,x16661),f776(x16663,x16664,x16665,x16662)) % 159.04/158.77 [1667]~E(x16671,x16672)+E(f531(x16671,x16673,x16674),f531(x16672,x16673,x16674)) % 159.04/158.77 [1668]~E(x16681,x16682)+E(f531(x16683,x16681,x16684),f531(x16683,x16682,x16684)) % 159.04/158.77 [1669]~E(x16691,x16692)+E(f531(x16693,x16694,x16691),f531(x16693,x16694,x16692)) % 159.04/158.77 [1670]~E(x16701,x16702)+E(f826(x16701,x16703,x16704,x16705,x16706,x16707,x16708),f826(x16702,x16703,x16704,x16705,x16706,x16707,x16708)) % 159.04/158.77 [1671]~E(x16711,x16712)+E(f826(x16713,x16711,x16714,x16715,x16716,x16717,x16718),f826(x16713,x16712,x16714,x16715,x16716,x16717,x16718)) % 159.04/158.77 [1672]~E(x16721,x16722)+E(f826(x16723,x16724,x16721,x16725,x16726,x16727,x16728),f826(x16723,x16724,x16722,x16725,x16726,x16727,x16728)) % 159.04/158.77 [1673]~E(x16731,x16732)+E(f826(x16733,x16734,x16735,x16731,x16736,x16737,x16738),f826(x16733,x16734,x16735,x16732,x16736,x16737,x16738)) % 159.04/158.77 [1674]~E(x16741,x16742)+E(f826(x16743,x16744,x16745,x16746,x16741,x16747,x16748),f826(x16743,x16744,x16745,x16746,x16742,x16747,x16748)) % 159.04/158.77 [1675]~E(x16751,x16752)+E(f826(x16753,x16754,x16755,x16756,x16757,x16751,x16758),f826(x16753,x16754,x16755,x16756,x16757,x16752,x16758)) % 159.04/158.77 [1676]~E(x16761,x16762)+E(f826(x16763,x16764,x16765,x16766,x16767,x16768,x16761),f826(x16763,x16764,x16765,x16766,x16767,x16768,x16762)) % 159.04/158.77 [1677]~E(x16771,x16772)+E(f205(x16771,x16773,x16774,x16775),f205(x16772,x16773,x16774,x16775)) % 159.04/158.77 [1678]~E(x16781,x16782)+E(f205(x16783,x16781,x16784,x16785),f205(x16783,x16782,x16784,x16785)) % 159.04/158.77 [1679]~E(x16791,x16792)+E(f205(x16793,x16794,x16791,x16795),f205(x16793,x16794,x16792,x16795)) % 159.04/158.77 [1680]~E(x16801,x16802)+E(f205(x16803,x16804,x16805,x16801),f205(x16803,x16804,x16805,x16802)) % 159.04/158.77 [1681]~E(x16811,x16812)+E(f445(x16811,x16813),f445(x16812,x16813)) % 159.04/158.77 [1682]~E(x16821,x16822)+E(f445(x16823,x16821),f445(x16823,x16822)) % 159.04/158.77 [1683]~E(x16831,x16832)+E(f646(x16831,x16833,x16834),f646(x16832,x16833,x16834)) % 159.04/158.77 [1684]~E(x16841,x16842)+E(f646(x16843,x16841,x16844),f646(x16843,x16842,x16844)) % 159.04/158.77 [1685]~E(x16851,x16852)+E(f646(x16853,x16854,x16851),f646(x16853,x16854,x16852)) % 159.04/158.77 [1686]~E(x16861,x16862)+E(f394(x16861,x16863,x16864),f394(x16862,x16863,x16864)) % 159.04/158.77 [1687]~E(x16871,x16872)+E(f394(x16873,x16871,x16874),f394(x16873,x16872,x16874)) % 159.04/158.77 [1688]~E(x16881,x16882)+E(f394(x16883,x16884,x16881),f394(x16883,x16884,x16882)) % 159.04/158.77 [1689]~E(x16891,x16892)+E(f633(x16891,x16893),f633(x16892,x16893)) % 159.04/158.77 [1690]~E(x16901,x16902)+E(f633(x16903,x16901),f633(x16903,x16902)) % 159.04/158.77 [1691]~E(x16911,x16912)+E(f293(x16911,x16913,x16914),f293(x16912,x16913,x16914)) % 159.04/158.77 [1692]~E(x16921,x16922)+E(f293(x16923,x16921,x16924),f293(x16923,x16922,x16924)) % 159.04/158.77 [1693]~E(x16931,x16932)+E(f293(x16933,x16934,x16931),f293(x16933,x16934,x16932)) % 159.04/158.77 [1694]~E(x16941,x16942)+E(f291(x16941,x16943,x16944),f291(x16942,x16943,x16944)) % 159.04/158.77 [1695]~E(x16951,x16952)+E(f291(x16953,x16951,x16954),f291(x16953,x16952,x16954)) % 159.04/158.77 [1696]~E(x16961,x16962)+E(f291(x16963,x16964,x16961),f291(x16963,x16964,x16962)) % 159.04/158.77 [1697]~E(x16971,x16972)+E(f593(x16971,x16973,x16974,x16975,x16976,x16977),f593(x16972,x16973,x16974,x16975,x16976,x16977)) % 159.04/158.77 [1698]~E(x16981,x16982)+E(f593(x16983,x16981,x16984,x16985,x16986,x16987),f593(x16983,x16982,x16984,x16985,x16986,x16987)) % 159.04/158.77 [1699]~E(x16991,x16992)+E(f593(x16993,x16994,x16991,x16995,x16996,x16997),f593(x16993,x16994,x16992,x16995,x16996,x16997)) % 159.04/158.77 [1700]~E(x17001,x17002)+E(f593(x17003,x17004,x17005,x17001,x17006,x17007),f593(x17003,x17004,x17005,x17002,x17006,x17007)) % 159.04/158.77 [1701]~E(x17011,x17012)+E(f593(x17013,x17014,x17015,x17016,x17011,x17017),f593(x17013,x17014,x17015,x17016,x17012,x17017)) % 159.04/158.77 [1702]~E(x17021,x17022)+E(f593(x17023,x17024,x17025,x17026,x17027,x17021),f593(x17023,x17024,x17025,x17026,x17027,x17022)) % 159.04/158.77 [1703]~E(x17031,x17032)+E(f134(x17031,x17033),f134(x17032,x17033)) % 159.04/158.77 [1704]~E(x17041,x17042)+E(f134(x17043,x17041),f134(x17043,x17042)) % 159.04/158.77 [1705]~E(x17051,x17052)+E(f460(x17051,x17053,x17054),f460(x17052,x17053,x17054)) % 159.04/158.77 [1706]~E(x17061,x17062)+E(f460(x17063,x17061,x17064),f460(x17063,x17062,x17064)) % 159.04/158.77 [1707]~E(x17071,x17072)+E(f460(x17073,x17074,x17071),f460(x17073,x17074,x17072)) % 159.04/158.77 [1708]~E(x17081,x17082)+E(f870(x17081,x17083,x17084,x17085,x17086),f870(x17082,x17083,x17084,x17085,x17086)) % 159.04/158.77 [1709]~E(x17091,x17092)+E(f870(x17093,x17091,x17094,x17095,x17096),f870(x17093,x17092,x17094,x17095,x17096)) % 159.04/158.77 [1710]~E(x17101,x17102)+E(f870(x17103,x17104,x17101,x17105,x17106),f870(x17103,x17104,x17102,x17105,x17106)) % 159.04/158.77 [1711]~E(x17111,x17112)+E(f870(x17113,x17114,x17115,x17111,x17116),f870(x17113,x17114,x17115,x17112,x17116)) % 159.04/158.77 [1712]~E(x17121,x17122)+E(f870(x17123,x17124,x17125,x17126,x17121),f870(x17123,x17124,x17125,x17126,x17122)) % 159.04/158.77 [1713]~E(x17131,x17132)+E(f207(x17131,x17133,x17134,x17135),f207(x17132,x17133,x17134,x17135)) % 159.04/158.77 [1714]~E(x17141,x17142)+E(f207(x17143,x17141,x17144,x17145),f207(x17143,x17142,x17144,x17145)) % 159.04/158.77 [1715]~E(x17151,x17152)+E(f207(x17153,x17154,x17151,x17155),f207(x17153,x17154,x17152,x17155)) % 159.04/158.77 [1716]~E(x17161,x17162)+E(f207(x17163,x17164,x17165,x17161),f207(x17163,x17164,x17165,x17162)) % 159.04/158.77 [1717]~E(x17171,x17172)+E(f678(x17171,x17173,x17174,x17175),f678(x17172,x17173,x17174,x17175)) % 159.04/158.77 [1718]~E(x17181,x17182)+E(f678(x17183,x17181,x17184,x17185),f678(x17183,x17182,x17184,x17185)) % 159.04/158.77 [1719]~E(x17191,x17192)+E(f678(x17193,x17194,x17191,x17195),f678(x17193,x17194,x17192,x17195)) % 159.04/158.77 [1720]~E(x17201,x17202)+E(f678(x17203,x17204,x17205,x17201),f678(x17203,x17204,x17205,x17202)) % 159.04/158.77 [1721]~E(x17211,x17212)+E(f567(x17211,x17213,x17214,x17215),f567(x17212,x17213,x17214,x17215)) % 159.04/158.77 [1722]~E(x17221,x17222)+E(f567(x17223,x17221,x17224,x17225),f567(x17223,x17222,x17224,x17225)) % 159.04/158.77 [1723]~E(x17231,x17232)+E(f567(x17233,x17234,x17231,x17235),f567(x17233,x17234,x17232,x17235)) % 159.04/158.77 [1724]~E(x17241,x17242)+E(f567(x17243,x17244,x17245,x17241),f567(x17243,x17244,x17245,x17242)) % 159.04/158.77 [1725]~E(x17251,x17252)+E(f492(x17251,x17253,x17254,x17255,x17256),f492(x17252,x17253,x17254,x17255,x17256)) % 159.04/158.77 [1726]~E(x17261,x17262)+E(f492(x17263,x17261,x17264,x17265,x17266),f492(x17263,x17262,x17264,x17265,x17266)) % 159.04/158.77 [1727]~E(x17271,x17272)+E(f492(x17273,x17274,x17271,x17275,x17276),f492(x17273,x17274,x17272,x17275,x17276)) % 159.04/158.77 [1728]~E(x17281,x17282)+E(f492(x17283,x17284,x17285,x17281,x17286),f492(x17283,x17284,x17285,x17282,x17286)) % 159.04/158.77 [1729]~E(x17291,x17292)+E(f492(x17293,x17294,x17295,x17296,x17291),f492(x17293,x17294,x17295,x17296,x17292)) % 159.04/158.77 [1730]~E(x17301,x17302)+E(f478(x17301,x17303,x17304,x17305,x17306),f478(x17302,x17303,x17304,x17305,x17306)) % 159.04/158.77 [1731]~E(x17311,x17312)+E(f478(x17313,x17311,x17314,x17315,x17316),f478(x17313,x17312,x17314,x17315,x17316)) % 159.04/158.77 [1732]~E(x17321,x17322)+E(f478(x17323,x17324,x17321,x17325,x17326),f478(x17323,x17324,x17322,x17325,x17326)) % 159.04/158.77 [1733]~E(x17331,x17332)+E(f478(x17333,x17334,x17335,x17331,x17336),f478(x17333,x17334,x17335,x17332,x17336)) % 159.04/158.77 [1734]~E(x17341,x17342)+E(f478(x17343,x17344,x17345,x17346,x17341),f478(x17343,x17344,x17345,x17346,x17342)) % 159.04/158.77 [1735]~E(x17351,x17352)+E(f576(x17351,x17353,x17354,x17355,x17356),f576(x17352,x17353,x17354,x17355,x17356)) % 159.04/158.77 [1736]~E(x17361,x17362)+E(f576(x17363,x17361,x17364,x17365,x17366),f576(x17363,x17362,x17364,x17365,x17366)) % 159.04/158.77 [1737]~E(x17371,x17372)+E(f576(x17373,x17374,x17371,x17375,x17376),f576(x17373,x17374,x17372,x17375,x17376)) % 159.04/158.77 [1738]~E(x17381,x17382)+E(f576(x17383,x17384,x17385,x17381,x17386),f576(x17383,x17384,x17385,x17382,x17386)) % 159.04/158.77 [1739]~E(x17391,x17392)+E(f576(x17393,x17394,x17395,x17396,x17391),f576(x17393,x17394,x17395,x17396,x17392)) % 159.04/158.77 [1740]~E(x17401,x17402)+E(f787(x17401,x17403,x17404,x17405,x17406,x17407,x17408),f787(x17402,x17403,x17404,x17405,x17406,x17407,x17408)) % 159.04/158.77 [1741]~E(x17411,x17412)+E(f787(x17413,x17411,x17414,x17415,x17416,x17417,x17418),f787(x17413,x17412,x17414,x17415,x17416,x17417,x17418)) % 159.04/158.77 [1742]~E(x17421,x17422)+E(f787(x17423,x17424,x17421,x17425,x17426,x17427,x17428),f787(x17423,x17424,x17422,x17425,x17426,x17427,x17428)) % 159.04/158.77 [1743]~E(x17431,x17432)+E(f787(x17433,x17434,x17435,x17431,x17436,x17437,x17438),f787(x17433,x17434,x17435,x17432,x17436,x17437,x17438)) % 159.04/158.77 [1744]~E(x17441,x17442)+E(f787(x17443,x17444,x17445,x17446,x17441,x17447,x17448),f787(x17443,x17444,x17445,x17446,x17442,x17447,x17448)) % 159.04/158.77 [1745]~E(x17451,x17452)+E(f787(x17453,x17454,x17455,x17456,x17457,x17451,x17458),f787(x17453,x17454,x17455,x17456,x17457,x17452,x17458)) % 159.04/158.77 [1746]~E(x17461,x17462)+E(f787(x17463,x17464,x17465,x17466,x17467,x17468,x17461),f787(x17463,x17464,x17465,x17466,x17467,x17468,x17462)) % 159.04/158.77 [1747]~E(x17471,x17472)+E(f539(x17471,x17473),f539(x17472,x17473)) % 159.04/158.77 [1748]~E(x17481,x17482)+E(f539(x17483,x17481),f539(x17483,x17482)) % 159.04/158.77 [1749]~E(x17491,x17492)+E(f389(x17491,x17493),f389(x17492,x17493)) % 159.04/158.77 [1750]~E(x17501,x17502)+E(f389(x17503,x17501),f389(x17503,x17502)) % 159.04/158.77 [1751]~E(x17511,x17512)+E(f575(x17511,x17513,x17514),f575(x17512,x17513,x17514)) % 159.04/158.77 [1752]~E(x17521,x17522)+E(f575(x17523,x17521,x17524),f575(x17523,x17522,x17524)) % 159.04/158.77 [1753]~E(x17531,x17532)+E(f575(x17533,x17534,x17531),f575(x17533,x17534,x17532)) % 159.04/158.77 [1754]~E(x17541,x17542)+E(f600(x17541,x17543,x17544,x17545,x17546),f600(x17542,x17543,x17544,x17545,x17546)) % 159.04/158.77 [1755]~E(x17551,x17552)+E(f600(x17553,x17551,x17554,x17555,x17556),f600(x17553,x17552,x17554,x17555,x17556)) % 159.04/158.77 [1756]~E(x17561,x17562)+E(f600(x17563,x17564,x17561,x17565,x17566),f600(x17563,x17564,x17562,x17565,x17566)) % 159.04/158.77 [1757]~E(x17571,x17572)+E(f600(x17573,x17574,x17575,x17571,x17576),f600(x17573,x17574,x17575,x17572,x17576)) % 159.04/158.77 [1758]~E(x17581,x17582)+E(f600(x17583,x17584,x17585,x17586,x17581),f600(x17583,x17584,x17585,x17586,x17582)) % 159.04/158.77 [1759]~E(x17591,x17592)+E(f653(x17591,x17593),f653(x17592,x17593)) % 159.04/158.77 [1760]~E(x17601,x17602)+E(f653(x17603,x17601),f653(x17603,x17602)) % 159.04/158.77 [1761]~E(x17611,x17612)+E(f491(x17611,x17613,x17614,x17615,x17616),f491(x17612,x17613,x17614,x17615,x17616)) % 159.04/158.77 [1762]~E(x17621,x17622)+E(f491(x17623,x17621,x17624,x17625,x17626),f491(x17623,x17622,x17624,x17625,x17626)) % 159.04/158.77 [1763]~E(x17631,x17632)+E(f491(x17633,x17634,x17631,x17635,x17636),f491(x17633,x17634,x17632,x17635,x17636)) % 159.04/158.77 [1764]~E(x17641,x17642)+E(f491(x17643,x17644,x17645,x17641,x17646),f491(x17643,x17644,x17645,x17642,x17646)) % 159.04/158.77 [1765]~E(x17651,x17652)+E(f491(x17653,x17654,x17655,x17656,x17651),f491(x17653,x17654,x17655,x17656,x17652)) % 159.04/158.77 [1766]~E(x17661,x17662)+E(f479(x17661,x17663,x17664,x17665,x17666),f479(x17662,x17663,x17664,x17665,x17666)) % 159.04/158.77 [1767]~E(x17671,x17672)+E(f479(x17673,x17671,x17674,x17675,x17676),f479(x17673,x17672,x17674,x17675,x17676)) % 159.04/158.77 [1768]~E(x17681,x17682)+E(f479(x17683,x17684,x17681,x17685,x17686),f479(x17683,x17684,x17682,x17685,x17686)) % 159.04/158.77 [1769]~E(x17691,x17692)+E(f479(x17693,x17694,x17695,x17691,x17696),f479(x17693,x17694,x17695,x17692,x17696)) % 159.04/158.77 [1770]~E(x17701,x17702)+E(f479(x17703,x17704,x17705,x17706,x17701),f479(x17703,x17704,x17705,x17706,x17702)) % 159.04/158.77 [1771]~E(x17711,x17712)+E(f688(x17711,x17713,x17714,x17715),f688(x17712,x17713,x17714,x17715)) % 159.04/158.77 [1772]~E(x17721,x17722)+E(f688(x17723,x17721,x17724,x17725),f688(x17723,x17722,x17724,x17725)) % 159.04/158.77 [1773]~E(x17731,x17732)+E(f688(x17733,x17734,x17731,x17735),f688(x17733,x17734,x17732,x17735)) % 159.04/158.77 [1774]~E(x17741,x17742)+E(f688(x17743,x17744,x17745,x17741),f688(x17743,x17744,x17745,x17742)) % 159.04/158.77 [1775]~E(x17751,x17752)+E(f503(x17751,x17753,x17754),f503(x17752,x17753,x17754)) % 159.04/158.77 [1776]~E(x17761,x17762)+E(f503(x17763,x17761,x17764),f503(x17763,x17762,x17764)) % 159.04/158.77 [1777]~E(x17771,x17772)+E(f503(x17773,x17774,x17771),f503(x17773,x17774,x17772)) % 159.04/158.77 [1778]~E(x17781,x17782)+E(f369(x17781,x17783,x17784),f369(x17782,x17783,x17784)) % 159.04/158.77 [1779]~E(x17791,x17792)+E(f369(x17793,x17791,x17794),f369(x17793,x17792,x17794)) % 159.04/158.77 [1780]~E(x17801,x17802)+E(f369(x17803,x17804,x17801),f369(x17803,x17804,x17802)) % 159.04/158.77 [1781]~E(x17811,x17812)+E(f17(x17811,x17813,x17814,x17815),f17(x17812,x17813,x17814,x17815)) % 159.04/158.77 [1782]~E(x17821,x17822)+E(f17(x17823,x17821,x17824,x17825),f17(x17823,x17822,x17824,x17825)) % 159.04/158.77 [1783]~E(x17831,x17832)+E(f17(x17833,x17834,x17831,x17835),f17(x17833,x17834,x17832,x17835)) % 159.04/158.77 [1784]~E(x17841,x17842)+E(f17(x17843,x17844,x17845,x17841),f17(x17843,x17844,x17845,x17842)) % 159.04/158.77 [1785]~E(x17851,x17852)+E(f632(x17851,x17853,x17854),f632(x17852,x17853,x17854)) % 159.04/158.77 [1786]~E(x17861,x17862)+E(f632(x17863,x17861,x17864),f632(x17863,x17862,x17864)) % 159.04/158.77 [1787]~E(x17871,x17872)+E(f632(x17873,x17874,x17871),f632(x17873,x17874,x17872)) % 159.04/158.77 [1788]~E(x17881,x17882)+E(f721(x17881,x17883),f721(x17882,x17883)) % 159.04/158.77 [1789]~E(x17891,x17892)+E(f721(x17893,x17891),f721(x17893,x17892)) % 159.04/158.77 [1790]~E(x17901,x17902)+E(f751(x17901,x17903,x17904),f751(x17902,x17903,x17904)) % 159.04/158.77 [1791]~E(x17911,x17912)+E(f751(x17913,x17911,x17914),f751(x17913,x17912,x17914)) % 159.04/158.77 [1792]~E(x17921,x17922)+E(f751(x17923,x17924,x17921),f751(x17923,x17924,x17922)) % 159.04/158.77 [1793]~E(x17931,x17932)+E(f845(x17931,x17933,x17934,x17935,x17936),f845(x17932,x17933,x17934,x17935,x17936)) % 159.04/158.77 [1794]~E(x17941,x17942)+E(f845(x17943,x17941,x17944,x17945,x17946),f845(x17943,x17942,x17944,x17945,x17946)) % 159.04/158.77 [1795]~E(x17951,x17952)+E(f845(x17953,x17954,x17951,x17955,x17956),f845(x17953,x17954,x17952,x17955,x17956)) % 159.04/158.77 [1796]~E(x17961,x17962)+E(f845(x17963,x17964,x17965,x17961,x17966),f845(x17963,x17964,x17965,x17962,x17966)) % 159.04/158.77 [1797]~E(x17971,x17972)+E(f845(x17973,x17974,x17975,x17976,x17971),f845(x17973,x17974,x17975,x17976,x17972)) % 159.04/158.77 [1798]~E(x17981,x17982)+E(f229(x17981,x17983),f229(x17982,x17983)) % 159.04/158.77 [1799]~E(x17991,x17992)+E(f229(x17993,x17991),f229(x17993,x17992)) % 159.04/158.77 [1800]~E(x18001,x18002)+E(f297(x18001,x18003,x18004,x18005),f297(x18002,x18003,x18004,x18005)) % 159.04/158.77 [1801]~E(x18011,x18012)+E(f297(x18013,x18011,x18014,x18015),f297(x18013,x18012,x18014,x18015)) % 159.04/158.77 [1802]~E(x18021,x18022)+E(f297(x18023,x18024,x18021,x18025),f297(x18023,x18024,x18022,x18025)) % 159.04/158.77 [1803]~E(x18031,x18032)+E(f297(x18033,x18034,x18035,x18031),f297(x18033,x18034,x18035,x18032)) % 159.04/158.77 [1804]~E(x18041,x18042)+E(f368(x18041,x18043,x18044),f368(x18042,x18043,x18044)) % 159.04/158.77 [1805]~E(x18051,x18052)+E(f368(x18053,x18051,x18054),f368(x18053,x18052,x18054)) % 159.04/158.77 [1806]~E(x18061,x18062)+E(f368(x18063,x18064,x18061),f368(x18063,x18064,x18062)) % 159.04/158.77 [1807]~E(x18071,x18072)+E(f735(x18071,x18073,x18074,x18075,x18076,x18077),f735(x18072,x18073,x18074,x18075,x18076,x18077)) % 159.04/158.77 [1808]~E(x18081,x18082)+E(f735(x18083,x18081,x18084,x18085,x18086,x18087),f735(x18083,x18082,x18084,x18085,x18086,x18087)) % 159.04/158.77 [1809]~E(x18091,x18092)+E(f735(x18093,x18094,x18091,x18095,x18096,x18097),f735(x18093,x18094,x18092,x18095,x18096,x18097)) % 159.04/158.77 [1810]~E(x18101,x18102)+E(f735(x18103,x18104,x18105,x18101,x18106,x18107),f735(x18103,x18104,x18105,x18102,x18106,x18107)) % 159.04/158.77 [1811]~E(x18111,x18112)+E(f735(x18113,x18114,x18115,x18116,x18111,x18117),f735(x18113,x18114,x18115,x18116,x18112,x18117)) % 159.04/158.77 [1812]~E(x18121,x18122)+E(f735(x18123,x18124,x18125,x18126,x18127,x18121),f735(x18123,x18124,x18125,x18126,x18127,x18122)) % 159.04/158.77 [1813]~E(x18131,x18132)+E(f673(x18131,x18133,x18134,x18135,x18136),f673(x18132,x18133,x18134,x18135,x18136)) % 159.04/158.77 [1814]~E(x18141,x18142)+E(f673(x18143,x18141,x18144,x18145,x18146),f673(x18143,x18142,x18144,x18145,x18146)) % 159.04/158.77 [1815]~E(x18151,x18152)+E(f673(x18153,x18154,x18151,x18155,x18156),f673(x18153,x18154,x18152,x18155,x18156)) % 159.04/158.77 [1816]~E(x18161,x18162)+E(f673(x18163,x18164,x18165,x18161,x18166),f673(x18163,x18164,x18165,x18162,x18166)) % 159.04/158.77 [1817]~E(x18171,x18172)+E(f673(x18173,x18174,x18175,x18176,x18171),f673(x18173,x18174,x18175,x18176,x18172)) % 159.04/158.77 [1818]~E(x18181,x18182)+E(f777(x18181,x18183,x18184),f777(x18182,x18183,x18184)) % 159.04/158.77 [1819]~E(x18191,x18192)+E(f777(x18193,x18191,x18194),f777(x18193,x18192,x18194)) % 159.04/158.77 [1820]~E(x18201,x18202)+E(f777(x18203,x18204,x18201),f777(x18203,x18204,x18202)) % 159.04/158.77 [1821]~E(x18211,x18212)+E(f722(x18211,x18213,x18214),f722(x18212,x18213,x18214)) % 159.04/158.77 [1822]~E(x18221,x18222)+E(f722(x18223,x18221,x18224),f722(x18223,x18222,x18224)) % 159.04/158.77 [1823]~E(x18231,x18232)+E(f722(x18233,x18234,x18231),f722(x18233,x18234,x18232)) % 159.04/158.77 [1824]~E(x18241,x18242)+E(f527(x18241,x18243,x18244,x18245),f527(x18242,x18243,x18244,x18245)) % 159.04/158.77 [1825]~E(x18251,x18252)+E(f527(x18253,x18251,x18254,x18255),f527(x18253,x18252,x18254,x18255)) % 159.04/158.77 [1826]~E(x18261,x18262)+E(f527(x18263,x18264,x18261,x18265),f527(x18263,x18264,x18262,x18265)) % 159.04/158.77 [1827]~E(x18271,x18272)+E(f527(x18273,x18274,x18275,x18271),f527(x18273,x18274,x18275,x18272)) % 159.04/158.77 [1828]~E(x18281,x18282)+E(f652(x18281,x18283,x18284),f652(x18282,x18283,x18284)) % 159.04/158.77 [1829]~E(x18291,x18292)+E(f652(x18293,x18291,x18294),f652(x18293,x18292,x18294)) % 159.04/158.77 [1830]~E(x18301,x18302)+E(f652(x18303,x18304,x18301),f652(x18303,x18304,x18302)) % 159.04/158.77 [1831]~E(x18311,x18312)+E(f603(x18311,x18313,x18314,x18315),f603(x18312,x18313,x18314,x18315)) % 159.04/158.77 [1832]~E(x18321,x18322)+E(f603(x18323,x18321,x18324,x18325),f603(x18323,x18322,x18324,x18325)) % 159.04/158.77 [1833]~E(x18331,x18332)+E(f603(x18333,x18334,x18331,x18335),f603(x18333,x18334,x18332,x18335)) % 159.04/158.77 [1834]~E(x18341,x18342)+E(f603(x18343,x18344,x18345,x18341),f603(x18343,x18344,x18345,x18342)) % 159.04/158.77 [1835]~E(x18351,x18352)+E(f657(x18351,x18353,x18354),f657(x18352,x18353,x18354)) % 159.04/158.77 [1836]~E(x18361,x18362)+E(f657(x18363,x18361,x18364),f657(x18363,x18362,x18364)) % 159.04/158.77 [1837]~E(x18371,x18372)+E(f657(x18373,x18374,x18371),f657(x18373,x18374,x18372)) % 159.04/158.77 [1838]~E(x18381,x18382)+E(f234(x18381,x18383,x18384),f234(x18382,x18383,x18384)) % 159.04/158.77 [1839]~E(x18391,x18392)+E(f234(x18393,x18391,x18394),f234(x18393,x18392,x18394)) % 159.04/158.77 [1840]~E(x18401,x18402)+E(f234(x18403,x18404,x18401),f234(x18403,x18404,x18402)) % 159.04/158.77 [1841]~E(x18411,x18412)+E(f246(x18411,x18413),f246(x18412,x18413)) % 159.04/158.77 [1842]~E(x18421,x18422)+E(f246(x18423,x18421),f246(x18423,x18422)) % 159.04/158.77 [1843]~E(x18431,x18432)+E(f387(x18431,x18433),f387(x18432,x18433)) % 159.04/158.77 [1844]~E(x18441,x18442)+E(f387(x18443,x18441),f387(x18443,x18442)) % 159.04/158.77 [1845]~E(x18451,x18452)+E(f120(x18451,x18453,x18454),f120(x18452,x18453,x18454)) % 159.04/158.77 [1846]~E(x18461,x18462)+E(f120(x18463,x18461,x18464),f120(x18463,x18462,x18464)) % 159.04/158.77 [1847]~E(x18471,x18472)+E(f120(x18473,x18474,x18471),f120(x18473,x18474,x18472)) % 159.04/158.77 [1848]~E(x18481,x18482)+E(f210(x18481),f210(x18482)) % 159.04/158.77 [1849]~E(x18491,x18492)+E(f726(x18491,x18493,x18494),f726(x18492,x18493,x18494)) % 159.04/158.77 [1850]~E(x18501,x18502)+E(f726(x18503,x18501,x18504),f726(x18503,x18502,x18504)) % 159.04/158.77 [1851]~E(x18511,x18512)+E(f726(x18513,x18514,x18511),f726(x18513,x18514,x18512)) % 159.04/158.77 [1852]~E(x18521,x18522)+E(f235(x18521,x18523,x18524,x18525),f235(x18522,x18523,x18524,x18525)) % 159.04/158.77 [1853]~E(x18531,x18532)+E(f235(x18533,x18531,x18534,x18535),f235(x18533,x18532,x18534,x18535)) % 159.04/158.77 [1854]~E(x18541,x18542)+E(f235(x18543,x18544,x18541,x18545),f235(x18543,x18544,x18542,x18545)) % 159.04/158.77 [1855]~E(x18551,x18552)+E(f235(x18553,x18554,x18555,x18551),f235(x18553,x18554,x18555,x18552)) % 159.04/158.77 [1856]~E(x18561,x18562)+E(f675(x18561,x18563,x18564,x18565,x18566),f675(x18562,x18563,x18564,x18565,x18566)) % 159.04/158.77 [1857]~E(x18571,x18572)+E(f675(x18573,x18571,x18574,x18575,x18576),f675(x18573,x18572,x18574,x18575,x18576)) % 159.04/158.77 [1858]~E(x18581,x18582)+E(f675(x18583,x18584,x18581,x18585,x18586),f675(x18583,x18584,x18582,x18585,x18586)) % 159.04/158.77 [1859]~E(x18591,x18592)+E(f675(x18593,x18594,x18595,x18591,x18596),f675(x18593,x18594,x18595,x18592,x18596)) % 159.04/158.77 [1860]~E(x18601,x18602)+E(f675(x18603,x18604,x18605,x18606,x18601),f675(x18603,x18604,x18605,x18606,x18602)) % 159.04/158.77 [1861]~E(x18611,x18612)+E(f537(x18611),f537(x18612)) % 159.04/158.77 [1862]~E(x18621,x18622)+E(f362(x18621,x18623),f362(x18622,x18623)) % 159.04/158.77 [1863]~E(x18631,x18632)+E(f362(x18633,x18631),f362(x18633,x18632)) % 159.04/158.77 [1864]~E(x18641,x18642)+E(f218(x18641,x18643,x18644,x18645),f218(x18642,x18643,x18644,x18645)) % 159.04/158.77 [1865]~E(x18651,x18652)+E(f218(x18653,x18651,x18654,x18655),f218(x18653,x18652,x18654,x18655)) % 159.04/158.77 [1866]~E(x18661,x18662)+E(f218(x18663,x18664,x18661,x18665),f218(x18663,x18664,x18662,x18665)) % 159.04/158.77 [1867]~E(x18671,x18672)+E(f218(x18673,x18674,x18675,x18671),f218(x18673,x18674,x18675,x18672)) % 159.04/158.77 [1868]~E(x18681,x18682)+E(f563(x18681),f563(x18682)) % 159.04/158.77 [1869]~E(x18691,x18692)+E(f517(x18691,x18693,x18694,x18695,x18696,x18697,x18698),f517(x18692,x18693,x18694,x18695,x18696,x18697,x18698)) % 159.04/158.77 [1870]~E(x18701,x18702)+E(f517(x18703,x18701,x18704,x18705,x18706,x18707,x18708),f517(x18703,x18702,x18704,x18705,x18706,x18707,x18708)) % 159.04/158.77 [1871]~E(x18711,x18712)+E(f517(x18713,x18714,x18711,x18715,x18716,x18717,x18718),f517(x18713,x18714,x18712,x18715,x18716,x18717,x18718)) % 159.04/158.77 [1872]~E(x18721,x18722)+E(f517(x18723,x18724,x18725,x18721,x18726,x18727,x18728),f517(x18723,x18724,x18725,x18722,x18726,x18727,x18728)) % 159.04/158.77 [1873]~E(x18731,x18732)+E(f517(x18733,x18734,x18735,x18736,x18731,x18737,x18738),f517(x18733,x18734,x18735,x18736,x18732,x18737,x18738)) % 159.04/158.77 [1874]~E(x18741,x18742)+E(f517(x18743,x18744,x18745,x18746,x18747,x18741,x18748),f517(x18743,x18744,x18745,x18746,x18747,x18742,x18748)) % 159.04/158.77 [1875]~E(x18751,x18752)+E(f517(x18753,x18754,x18755,x18756,x18757,x18758,x18751),f517(x18753,x18754,x18755,x18756,x18757,x18758,x18752)) % 159.04/158.77 [1876]~E(x18761,x18762)+E(f388(x18761,x18763,x18764),f388(x18762,x18763,x18764)) % 159.04/158.77 [1877]~E(x18771,x18772)+E(f388(x18773,x18771,x18774),f388(x18773,x18772,x18774)) % 159.04/158.77 [1878]~E(x18781,x18782)+E(f388(x18783,x18784,x18781),f388(x18783,x18784,x18782)) % 159.04/158.77 [1879]~E(x18791,x18792)+E(f435(x18791,x18793,x18794,x18795,x18796),f435(x18792,x18793,x18794,x18795,x18796)) % 159.04/158.77 [1880]~E(x18801,x18802)+E(f435(x18803,x18801,x18804,x18805,x18806),f435(x18803,x18802,x18804,x18805,x18806)) % 159.04/158.77 [1881]~E(x18811,x18812)+E(f435(x18813,x18814,x18811,x18815,x18816),f435(x18813,x18814,x18812,x18815,x18816)) % 159.04/158.77 [1882]~E(x18821,x18822)+E(f435(x18823,x18824,x18825,x18821,x18826),f435(x18823,x18824,x18825,x18822,x18826)) % 159.04/158.77 [1883]~E(x18831,x18832)+E(f435(x18833,x18834,x18835,x18836,x18831),f435(x18833,x18834,x18835,x18836,x18832)) % 159.04/158.77 [1884]~E(x18841,x18842)+E(f737(x18841,x18843,x18844),f737(x18842,x18843,x18844)) % 159.04/158.77 [1885]~E(x18851,x18852)+E(f737(x18853,x18851,x18854),f737(x18853,x18852,x18854)) % 159.04/158.77 [1886]~E(x18861,x18862)+E(f737(x18863,x18864,x18861),f737(x18863,x18864,x18862)) % 159.04/158.77 [1887]~E(x18871,x18872)+E(f766(x18871,x18873,x18874,x18875),f766(x18872,x18873,x18874,x18875)) % 159.04/158.77 [1888]~E(x18881,x18882)+E(f766(x18883,x18881,x18884,x18885),f766(x18883,x18882,x18884,x18885)) % 159.04/158.77 [1889]~E(x18891,x18892)+E(f766(x18893,x18894,x18891,x18895),f766(x18893,x18894,x18892,x18895)) % 159.04/158.77 [1890]~E(x18901,x18902)+E(f766(x18903,x18904,x18905,x18901),f766(x18903,x18904,x18905,x18902)) % 159.04/158.77 [1891]~E(x18911,x18912)+E(f647(x18911,x18913),f647(x18912,x18913)) % 159.04/158.77 [1892]~E(x18921,x18922)+E(f647(x18923,x18921),f647(x18923,x18922)) % 159.04/158.77 [1893]~E(x18931,x18932)+E(f629(x18931,x18933,x18934),f629(x18932,x18933,x18934)) % 159.04/158.77 [1894]~E(x18941,x18942)+E(f629(x18943,x18941,x18944),f629(x18943,x18942,x18944)) % 159.04/158.77 [1895]~E(x18951,x18952)+E(f629(x18953,x18954,x18951),f629(x18953,x18954,x18952)) % 159.04/158.77 [1896]~E(x18961,x18962)+E(f723(x18961,x18963,x18964),f723(x18962,x18963,x18964)) % 159.04/158.77 [1897]~E(x18971,x18972)+E(f723(x18973,x18971,x18974),f723(x18973,x18972,x18974)) % 159.04/158.77 [1898]~E(x18981,x18982)+E(f723(x18983,x18984,x18981),f723(x18983,x18984,x18982)) % 159.04/158.77 [1899]~E(x18991,x18992)+E(f696(x18991,x18993,x18994),f696(x18992,x18993,x18994)) % 159.04/158.77 [1900]~E(x19001,x19002)+E(f696(x19003,x19001,x19004),f696(x19003,x19002,x19004)) % 159.04/158.77 [1901]~E(x19011,x19012)+E(f696(x19013,x19014,x19011),f696(x19013,x19014,x19012)) % 159.04/158.77 [1902]~E(x19021,x19022)+E(f713(x19021,x19023,x19024,x19025,x19026),f713(x19022,x19023,x19024,x19025,x19026)) % 159.04/158.77 [1903]~E(x19031,x19032)+E(f713(x19033,x19031,x19034,x19035,x19036),f713(x19033,x19032,x19034,x19035,x19036)) % 159.04/158.77 [1904]~E(x19041,x19042)+E(f713(x19043,x19044,x19041,x19045,x19046),f713(x19043,x19044,x19042,x19045,x19046)) % 159.04/158.77 [1905]~E(x19051,x19052)+E(f713(x19053,x19054,x19055,x19051,x19056),f713(x19053,x19054,x19055,x19052,x19056)) % 159.04/158.77 [1906]~E(x19061,x19062)+E(f713(x19063,x19064,x19065,x19066,x19061),f713(x19063,x19064,x19065,x19066,x19062)) % 159.04/158.77 [1907]~E(x19071,x19072)+E(f376(x19071),f376(x19072)) % 159.04/158.77 [1908]~E(x19081,x19082)+E(f570(x19081,x19083,x19084),f570(x19082,x19083,x19084)) % 159.04/158.77 [1909]~E(x19091,x19092)+E(f570(x19093,x19091,x19094),f570(x19093,x19092,x19094)) % 159.04/158.77 [1910]~E(x19101,x19102)+E(f570(x19103,x19104,x19101),f570(x19103,x19104,x19102)) % 159.04/158.77 [1911]~E(x19111,x19112)+E(f524(x19111,x19113,x19114),f524(x19112,x19113,x19114)) % 159.04/158.77 [1912]~E(x19121,x19122)+E(f524(x19123,x19121,x19124),f524(x19123,x19122,x19124)) % 159.04/158.77 [1913]~E(x19131,x19132)+E(f524(x19133,x19134,x19131),f524(x19133,x19134,x19132)) % 159.04/158.77 [1914]~E(x19141,x19142)+E(f161(x19141,x19143),f161(x19142,x19143)) % 159.04/158.77 [1915]~E(x19151,x19152)+E(f161(x19153,x19151),f161(x19153,x19152)) % 159.04/158.77 [1916]~E(x19161,x19162)+E(f390(x19161,x19163,x19164),f390(x19162,x19163,x19164)) % 159.04/158.77 [1917]~E(x19171,x19172)+E(f390(x19173,x19171,x19174),f390(x19173,x19172,x19174)) % 159.04/158.77 [1918]~E(x19181,x19182)+E(f390(x19183,x19184,x19181),f390(x19183,x19184,x19182)) % 159.04/158.77 [1919]~E(x19191,x19192)+E(f677(x19191,x19193,x19194,x19195,x19196),f677(x19192,x19193,x19194,x19195,x19196)) % 159.04/158.77 [1920]~E(x19201,x19202)+E(f677(x19203,x19201,x19204,x19205,x19206),f677(x19203,x19202,x19204,x19205,x19206)) % 159.04/158.77 [1921]~E(x19211,x19212)+E(f677(x19213,x19214,x19211,x19215,x19216),f677(x19213,x19214,x19212,x19215,x19216)) % 159.04/158.77 [1922]~E(x19221,x19222)+E(f677(x19223,x19224,x19225,x19221,x19226),f677(x19223,x19224,x19225,x19222,x19226)) % 159.04/158.77 [1923]~E(x19231,x19232)+E(f677(x19233,x19234,x19235,x19236,x19231),f677(x19233,x19234,x19235,x19236,x19232)) % 159.04/158.77 [1924]~E(x19241,x19242)+E(f707(x19241,x19243),f707(x19242,x19243)) % 159.04/158.77 [1925]~E(x19251,x19252)+E(f707(x19253,x19251),f707(x19253,x19252)) % 159.04/158.77 [1926]~E(x19261,x19262)+E(f585(x19261,x19263),f585(x19262,x19263)) % 159.04/158.77 [1927]~E(x19271,x19272)+E(f585(x19273,x19271),f585(x19273,x19272)) % 159.04/158.77 [1928]~E(x19281,x19282)+E(f580(x19281,x19283,x19284,x19285,x19286,x19287,x19288),f580(x19282,x19283,x19284,x19285,x19286,x19287,x19288)) % 159.04/158.77 [1929]~E(x19291,x19292)+E(f580(x19293,x19291,x19294,x19295,x19296,x19297,x19298),f580(x19293,x19292,x19294,x19295,x19296,x19297,x19298)) % 159.04/158.77 [1930]~E(x19301,x19302)+E(f580(x19303,x19304,x19301,x19305,x19306,x19307,x19308),f580(x19303,x19304,x19302,x19305,x19306,x19307,x19308)) % 159.04/158.77 [1931]~E(x19311,x19312)+E(f580(x19313,x19314,x19315,x19311,x19316,x19317,x19318),f580(x19313,x19314,x19315,x19312,x19316,x19317,x19318)) % 159.04/158.77 [1932]~E(x19321,x19322)+E(f580(x19323,x19324,x19325,x19326,x19321,x19327,x19328),f580(x19323,x19324,x19325,x19326,x19322,x19327,x19328)) % 159.04/158.77 [1933]~E(x19331,x19332)+E(f580(x19333,x19334,x19335,x19336,x19337,x19331,x19338),f580(x19333,x19334,x19335,x19336,x19337,x19332,x19338)) % 159.04/158.77 [1934]~E(x19341,x19342)+E(f580(x19343,x19344,x19345,x19346,x19347,x19348,x19341),f580(x19343,x19344,x19345,x19346,x19347,x19348,x19342)) % 159.04/158.77 [1935]~E(x19351,x19352)+E(f662(x19351,x19353,x19354),f662(x19352,x19353,x19354)) % 159.04/158.77 [1936]~E(x19361,x19362)+E(f662(x19363,x19361,x19364),f662(x19363,x19362,x19364)) % 159.04/158.77 [1937]~E(x19371,x19372)+E(f662(x19373,x19374,x19371),f662(x19373,x19374,x19372)) % 159.04/158.77 [1938]~E(x19381,x19382)+E(f702(x19381,x19383),f702(x19382,x19383)) % 159.04/158.77 [1939]~E(x19391,x19392)+E(f702(x19393,x19391),f702(x19393,x19392)) % 159.04/158.77 [1940]~E(x19401,x19402)+E(f589(x19401,x19403,x19404,x19405),f589(x19402,x19403,x19404,x19405)) % 159.04/158.77 [1941]~E(x19411,x19412)+E(f589(x19413,x19411,x19414,x19415),f589(x19413,x19412,x19414,x19415)) % 159.04/158.77 [1942]~E(x19421,x19422)+E(f589(x19423,x19424,x19421,x19425),f589(x19423,x19424,x19422,x19425)) % 159.04/158.77 [1943]~E(x19431,x19432)+E(f589(x19433,x19434,x19435,x19431),f589(x19433,x19434,x19435,x19432)) % 159.04/158.77 [1944]~E(x19441,x19442)+E(f610(x19441,x19443,x19444),f610(x19442,x19443,x19444)) % 159.04/158.77 [1945]~E(x19451,x19452)+E(f610(x19453,x19451,x19454),f610(x19453,x19452,x19454)) % 159.04/158.77 [1946]~E(x19461,x19462)+E(f610(x19463,x19464,x19461),f610(x19463,x19464,x19462)) % 159.04/158.77 [1947]~E(x19471,x19472)+E(f806(x19471,x19473,x19474),f806(x19472,x19473,x19474)) % 159.04/158.77 [1948]~E(x19481,x19482)+E(f806(x19483,x19481,x19484),f806(x19483,x19482,x19484)) % 159.04/158.77 [1949]~E(x19491,x19492)+E(f806(x19493,x19494,x19491),f806(x19493,x19494,x19492)) % 159.04/158.77 [1950]~E(x19501,x19502)+E(f784(x19501,x19503,x19504,x19505),f784(x19502,x19503,x19504,x19505)) % 159.04/158.77 [1951]~E(x19511,x19512)+E(f784(x19513,x19511,x19514,x19515),f784(x19513,x19512,x19514,x19515)) % 159.04/158.77 [1952]~E(x19521,x19522)+E(f784(x19523,x19524,x19521,x19525),f784(x19523,x19524,x19522,x19525)) % 159.04/158.77 [1953]~E(x19531,x19532)+E(f784(x19533,x19534,x19535,x19531),f784(x19533,x19534,x19535,x19532)) % 159.04/158.77 [1954]~E(x19541,x19542)+E(f400(x19541,x19543,x19544,x19545),f400(x19542,x19543,x19544,x19545)) % 159.04/158.77 [1955]~E(x19551,x19552)+E(f400(x19553,x19551,x19554,x19555),f400(x19553,x19552,x19554,x19555)) % 159.04/158.77 [1956]~E(x19561,x19562)+E(f400(x19563,x19564,x19561,x19565),f400(x19563,x19564,x19562,x19565)) % 159.04/158.77 [1957]~E(x19571,x19572)+E(f400(x19573,x19574,x19575,x19571),f400(x19573,x19574,x19575,x19572)) % 159.04/158.77 [1958]~E(x19581,x19582)+E(f640(x19581,x19583,x19584),f640(x19582,x19583,x19584)) % 159.04/158.77 [1959]~E(x19591,x19592)+E(f640(x19593,x19591,x19594),f640(x19593,x19592,x19594)) % 159.04/158.77 [1960]~E(x19601,x19602)+E(f640(x19603,x19604,x19601),f640(x19603,x19604,x19602)) % 159.04/158.77 [1961]~E(x19611,x19612)+E(f458(x19611,x19613),f458(x19612,x19613)) % 159.04/158.77 [1962]~E(x19621,x19622)+E(f458(x19623,x19621),f458(x19623,x19622)) % 159.04/158.77 [1963]~E(x19631,x19632)+E(f760(x19631,x19633,x19634),f760(x19632,x19633,x19634)) % 159.04/158.77 [1964]~E(x19641,x19642)+E(f760(x19643,x19641,x19644),f760(x19643,x19642,x19644)) % 159.04/158.77 [1965]~E(x19651,x19652)+E(f760(x19653,x19654,x19651),f760(x19653,x19654,x19652)) % 159.04/158.77 [1966]~E(x19661,x19662)+E(f412(x19661,x19663,x19664,x19665),f412(x19662,x19663,x19664,x19665)) % 159.04/158.77 [1967]~E(x19671,x19672)+E(f412(x19673,x19671,x19674,x19675),f412(x19673,x19672,x19674,x19675)) % 159.04/158.77 [1968]~E(x19681,x19682)+E(f412(x19683,x19684,x19681,x19685),f412(x19683,x19684,x19682,x19685)) % 159.04/158.77 [1969]~E(x19691,x19692)+E(f412(x19693,x19694,x19695,x19691),f412(x19693,x19694,x19695,x19692)) % 159.04/158.77 [1970]~E(x19701,x19702)+E(f753(x19701,x19703,x19704),f753(x19702,x19703,x19704)) % 159.04/158.77 [1971]~E(x19711,x19712)+E(f753(x19713,x19711,x19714),f753(x19713,x19712,x19714)) % 159.04/158.77 [1972]~E(x19721,x19722)+E(f753(x19723,x19724,x19721),f753(x19723,x19724,x19722)) % 159.04/158.77 [1973]~E(x19731,x19732)+E(f837(x19731,x19733,x19734),f837(x19732,x19733,x19734)) % 159.04/158.77 [1974]~E(x19741,x19742)+E(f837(x19743,x19741,x19744),f837(x19743,x19742,x19744)) % 159.04/158.77 [1975]~E(x19751,x19752)+E(f837(x19753,x19754,x19751),f837(x19753,x19754,x19752)) % 159.04/158.77 [1976]~E(x19761,x19762)+E(f692(x19761,x19763,x19764,x19765),f692(x19762,x19763,x19764,x19765)) % 159.04/158.77 [1977]~E(x19771,x19772)+E(f692(x19773,x19771,x19774,x19775),f692(x19773,x19772,x19774,x19775)) % 159.04/158.77 [1978]~E(x19781,x19782)+E(f692(x19783,x19784,x19781,x19785),f692(x19783,x19784,x19782,x19785)) % 159.04/158.77 [1979]~E(x19791,x19792)+E(f692(x19793,x19794,x19795,x19791),f692(x19793,x19794,x19795,x19792)) % 159.04/158.77 [1980]~E(x19801,x19802)+E(f700(x19801,x19803),f700(x19802,x19803)) % 159.04/158.77 [1981]~E(x19811,x19812)+E(f700(x19813,x19811),f700(x19813,x19812)) % 159.04/158.77 [1982]~E(x19821,x19822)+E(f385(x19821,x19823),f385(x19822,x19823)) % 159.04/158.77 [1983]~E(x19831,x19832)+E(f385(x19833,x19831),f385(x19833,x19832)) % 159.04/158.77 [1984]~E(x19841,x19842)+E(f643(x19841,x19843),f643(x19842,x19843)) % 159.04/158.77 [1985]~E(x19851,x19852)+E(f643(x19853,x19851),f643(x19853,x19852)) % 159.04/158.77 [1986]~E(x19861,x19862)+E(f407(x19861,x19863,x19864,x19865),f407(x19862,x19863,x19864,x19865)) % 159.04/158.77 [1987]~E(x19871,x19872)+E(f407(x19873,x19871,x19874,x19875),f407(x19873,x19872,x19874,x19875)) % 159.04/158.77 [1988]~E(x19881,x19882)+E(f407(x19883,x19884,x19881,x19885),f407(x19883,x19884,x19882,x19885)) % 159.04/158.77 [1989]~E(x19891,x19892)+E(f407(x19893,x19894,x19895,x19891),f407(x19893,x19894,x19895,x19892)) % 159.04/158.77 [1990]~E(x19901,x19902)+E(f779(x19901,x19903,x19904),f779(x19902,x19903,x19904)) % 159.04/158.77 [1991]~E(x19911,x19912)+E(f779(x19913,x19911,x19914),f779(x19913,x19912,x19914)) % 159.04/158.77 [1992]~E(x19921,x19922)+E(f779(x19923,x19924,x19921),f779(x19923,x19924,x19922)) % 159.04/158.77 [1993]~E(x19931,x19932)+E(f793(x19931,x19933,x19934),f793(x19932,x19933,x19934)) % 159.04/158.77 [1994]~E(x19941,x19942)+E(f793(x19943,x19941,x19944),f793(x19943,x19942,x19944)) % 159.04/158.77 [1995]~E(x19951,x19952)+E(f793(x19953,x19954,x19951),f793(x19953,x19954,x19952)) % 159.04/158.77 [1996]~E(x19961,x19962)+E(f391(x19961,x19963,x19964,x19965),f391(x19962,x19963,x19964,x19965)) % 159.04/158.77 [1997]~E(x19971,x19972)+E(f391(x19973,x19971,x19974,x19975),f391(x19973,x19972,x19974,x19975)) % 159.04/158.77 [1998]~E(x19981,x19982)+E(f391(x19983,x19984,x19981,x19985),f391(x19983,x19984,x19982,x19985)) % 159.04/158.77 [1999]~E(x19991,x19992)+E(f391(x19993,x19994,x19995,x19991),f391(x19993,x19994,x19995,x19992)) % 159.04/158.77 [2000]~E(x20001,x20002)+E(f641(x20001,x20003,x20004),f641(x20002,x20003,x20004)) % 159.04/158.77 [2001]~E(x20011,x20012)+E(f641(x20013,x20011,x20014),f641(x20013,x20012,x20014)) % 159.04/158.77 [2002]~E(x20021,x20022)+E(f641(x20023,x20024,x20021),f641(x20023,x20024,x20022)) % 159.04/158.77 [2003]~E(x20031,x20032)+E(f686(x20031,x20033,x20034,x20035),f686(x20032,x20033,x20034,x20035)) % 159.04/158.77 [2004]~E(x20041,x20042)+E(f686(x20043,x20041,x20044,x20045),f686(x20043,x20042,x20044,x20045)) % 159.04/158.77 [2005]~E(x20051,x20052)+E(f686(x20053,x20054,x20051,x20055),f686(x20053,x20054,x20052,x20055)) % 159.04/158.77 [2006]~E(x20061,x20062)+E(f686(x20063,x20064,x20065,x20061),f686(x20063,x20064,x20065,x20062)) % 159.04/158.77 [2007]~E(x20071,x20072)+E(f488(x20071,x20073,x20074,x20075,x20076),f488(x20072,x20073,x20074,x20075,x20076)) % 159.04/158.77 [2008]~E(x20081,x20082)+E(f488(x20083,x20081,x20084,x20085,x20086),f488(x20083,x20082,x20084,x20085,x20086)) % 159.04/158.77 [2009]~E(x20091,x20092)+E(f488(x20093,x20094,x20091,x20095,x20096),f488(x20093,x20094,x20092,x20095,x20096)) % 159.04/158.77 [2010]~E(x20101,x20102)+E(f488(x20103,x20104,x20105,x20101,x20106),f488(x20103,x20104,x20105,x20102,x20106)) % 159.04/158.77 [2011]~E(x20111,x20112)+E(f488(x20113,x20114,x20115,x20116,x20111),f488(x20113,x20114,x20115,x20116,x20112)) % 159.04/158.77 [2012]~E(x20121,x20122)+E(f804(x20121,x20123,x20124),f804(x20122,x20123,x20124)) % 159.04/158.77 [2013]~E(x20131,x20132)+E(f804(x20133,x20131,x20134),f804(x20133,x20132,x20134)) % 159.04/158.77 [2014]~E(x20141,x20142)+E(f804(x20143,x20144,x20141),f804(x20143,x20144,x20142)) % 159.04/158.77 [2015]~E(x20151,x20152)+E(f635(x20151,x20153),f635(x20152,x20153)) % 159.04/158.77 [2016]~E(x20161,x20162)+E(f635(x20163,x20161),f635(x20163,x20162)) % 159.04/158.77 [2017]~E(x20171,x20172)+E(f314(x20171,x20173,x20174),f314(x20172,x20173,x20174)) % 159.04/158.77 [2018]~E(x20181,x20182)+E(f314(x20183,x20181,x20184),f314(x20183,x20182,x20184)) % 159.04/158.77 [2019]~E(x20191,x20192)+E(f314(x20193,x20194,x20191),f314(x20193,x20194,x20192)) % 159.04/158.77 [2020]~E(x20201,x20202)+E(f514(x20201,x20203,x20204),f514(x20202,x20203,x20204)) % 159.04/158.77 [2021]~E(x20211,x20212)+E(f514(x20213,x20211,x20214),f514(x20213,x20212,x20214)) % 159.04/158.77 [2022]~E(x20221,x20222)+E(f514(x20223,x20224,x20221),f514(x20223,x20224,x20222)) % 159.04/158.77 [2023]~E(x20231,x20232)+E(f468(x20231,x20233,x20234),f468(x20232,x20233,x20234)) % 159.04/158.77 [2024]~E(x20241,x20242)+E(f468(x20243,x20241,x20244),f468(x20243,x20242,x20244)) % 159.04/158.77 [2025]~E(x20251,x20252)+E(f468(x20253,x20254,x20251),f468(x20253,x20254,x20252)) % 159.04/158.77 [2026]~E(x20261,x20262)+E(f811(x20261,x20263,x20264,x20265),f811(x20262,x20263,x20264,x20265)) % 159.04/158.77 [2027]~E(x20271,x20272)+E(f811(x20273,x20271,x20274,x20275),f811(x20273,x20272,x20274,x20275)) % 159.04/158.77 [2028]~E(x20281,x20282)+E(f811(x20283,x20284,x20281,x20285),f811(x20283,x20284,x20282,x20285)) % 159.04/158.77 [2029]~E(x20291,x20292)+E(f811(x20293,x20294,x20295,x20291),f811(x20293,x20294,x20295,x20292)) % 159.04/158.77 [2030]~E(x20301,x20302)+E(f121(x20301,x20303,x20304),f121(x20302,x20303,x20304)) % 159.04/158.77 [2031]~E(x20311,x20312)+E(f121(x20313,x20311,x20314),f121(x20313,x20312,x20314)) % 159.04/158.77 [2032]~E(x20321,x20322)+E(f121(x20323,x20324,x20321),f121(x20323,x20324,x20322)) % 159.04/158.77 [2033]~E(x20331,x20332)+E(f240(x20331,x20333,x20334,x20335,x20336),f240(x20332,x20333,x20334,x20335,x20336)) % 159.04/158.77 [2034]~E(x20341,x20342)+E(f240(x20343,x20341,x20344,x20345,x20346),f240(x20343,x20342,x20344,x20345,x20346)) % 159.04/158.77 [2035]~E(x20351,x20352)+E(f240(x20353,x20354,x20351,x20355,x20356),f240(x20353,x20354,x20352,x20355,x20356)) % 159.04/158.77 [2036]~E(x20361,x20362)+E(f240(x20363,x20364,x20365,x20361,x20366),f240(x20363,x20364,x20365,x20362,x20366)) % 159.04/158.77 [2037]~E(x20371,x20372)+E(f240(x20373,x20374,x20375,x20376,x20371),f240(x20373,x20374,x20375,x20376,x20372)) % 159.04/158.77 [2038]~E(x20381,x20382)+E(f812(x20381,x20383,x20384,x20385),f812(x20382,x20383,x20384,x20385)) % 159.04/158.77 [2039]~E(x20391,x20392)+E(f812(x20393,x20391,x20394,x20395),f812(x20393,x20392,x20394,x20395)) % 159.04/158.77 [2040]~E(x20401,x20402)+E(f812(x20403,x20404,x20401,x20405),f812(x20403,x20404,x20402,x20405)) % 159.04/158.77 [2041]~E(x20411,x20412)+E(f812(x20413,x20414,x20415,x20411),f812(x20413,x20414,x20415,x20412)) % 159.04/158.77 [2042]~E(x20421,x20422)+E(f419(x20421,x20423,x20424,x20425),f419(x20422,x20423,x20424,x20425)) % 159.04/158.77 [2043]~E(x20431,x20432)+E(f419(x20433,x20431,x20434,x20435),f419(x20433,x20432,x20434,x20435)) % 159.04/158.77 [2044]~E(x20441,x20442)+E(f419(x20443,x20444,x20441,x20445),f419(x20443,x20444,x20442,x20445)) % 159.04/158.77 [2045]~E(x20451,x20452)+E(f419(x20453,x20454,x20455,x20451),f419(x20453,x20454,x20455,x20452)) % 159.04/158.77 [2046]~E(x20461,x20462)+E(f507(x20461,x20463,x20464),f507(x20462,x20463,x20464)) % 159.04/158.77 [2047]~E(x20471,x20472)+E(f507(x20473,x20471,x20474),f507(x20473,x20472,x20474)) % 159.04/158.77 [2048]~E(x20481,x20482)+E(f507(x20483,x20484,x20481),f507(x20483,x20484,x20482)) % 159.04/158.77 [2049]~E(x20491,x20492)+E(f418(x20491,x20493,x20494,x20495),f418(x20492,x20493,x20494,x20495)) % 159.04/158.77 [2050]~E(x20501,x20502)+E(f418(x20503,x20501,x20504,x20505),f418(x20503,x20502,x20504,x20505)) % 159.04/158.77 [2051]~E(x20511,x20512)+E(f418(x20513,x20514,x20511,x20515),f418(x20513,x20514,x20512,x20515)) % 159.04/158.77 [2052]~E(x20521,x20522)+E(f418(x20523,x20524,x20525,x20521),f418(x20523,x20524,x20525,x20522)) % 159.04/158.77 [2053]~E(x20531,x20532)+E(f778(x20531,x20533,x20534),f778(x20532,x20533,x20534)) % 159.04/158.77 [2054]~E(x20541,x20542)+E(f778(x20543,x20541,x20544),f778(x20543,x20542,x20544)) % 159.04/158.77 [2055]~E(x20551,x20552)+E(f778(x20553,x20554,x20551),f778(x20553,x20554,x20552)) % 159.04/158.77 [2056]~E(x20561,x20562)+E(f730(x20561,x20563,x20564,x20565,x20566),f730(x20562,x20563,x20564,x20565,x20566)) % 159.04/158.77 [2057]~E(x20571,x20572)+E(f730(x20573,x20571,x20574,x20575,x20576),f730(x20573,x20572,x20574,x20575,x20576)) % 159.04/158.77 [2058]~E(x20581,x20582)+E(f730(x20583,x20584,x20581,x20585,x20586),f730(x20583,x20584,x20582,x20585,x20586)) % 159.04/158.77 [2059]~E(x20591,x20592)+E(f730(x20593,x20594,x20595,x20591,x20596),f730(x20593,x20594,x20595,x20592,x20596)) % 159.04/158.77 [2060]~E(x20601,x20602)+E(f730(x20603,x20604,x20605,x20606,x20601),f730(x20603,x20604,x20605,x20606,x20602)) % 159.04/158.77 [2061]~E(x20611,x20612)+E(f547(x20611,x20613),f547(x20612,x20613)) % 159.04/158.77 [2062]~E(x20621,x20622)+E(f547(x20623,x20621),f547(x20623,x20622)) % 159.04/158.77 [2063]~E(x20631,x20632)+E(f831(x20631,x20633,x20634,x20635,x20636,x20637),f831(x20632,x20633,x20634,x20635,x20636,x20637)) % 159.04/158.77 [2064]~E(x20641,x20642)+E(f831(x20643,x20641,x20644,x20645,x20646,x20647),f831(x20643,x20642,x20644,x20645,x20646,x20647)) % 159.04/158.77 [2065]~E(x20651,x20652)+E(f831(x20653,x20654,x20651,x20655,x20656,x20657),f831(x20653,x20654,x20652,x20655,x20656,x20657)) % 159.04/158.77 [2066]~E(x20661,x20662)+E(f831(x20663,x20664,x20665,x20661,x20666,x20667),f831(x20663,x20664,x20665,x20662,x20666,x20667)) % 159.04/158.77 [2067]~E(x20671,x20672)+E(f831(x20673,x20674,x20675,x20676,x20671,x20677),f831(x20673,x20674,x20675,x20676,x20672,x20677)) % 159.04/158.77 [2068]~E(x20681,x20682)+E(f831(x20683,x20684,x20685,x20686,x20687,x20681),f831(x20683,x20684,x20685,x20686,x20687,x20682)) % 159.04/158.77 [2069]~E(x20691,x20692)+E(f682(x20691,x20693,x20694,x20695),f682(x20692,x20693,x20694,x20695)) % 159.04/158.77 [2070]~E(x20701,x20702)+E(f682(x20703,x20701,x20704,x20705),f682(x20703,x20702,x20704,x20705)) % 159.04/158.77 [2071]~E(x20711,x20712)+E(f682(x20713,x20714,x20711,x20715),f682(x20713,x20714,x20712,x20715)) % 159.04/158.77 [2072]~E(x20721,x20722)+E(f682(x20723,x20724,x20725,x20721),f682(x20723,x20724,x20725,x20722)) % 159.04/158.77 [2073]~E(x20731,x20732)+E(f625(x20731,x20733),f625(x20732,x20733)) % 159.04/158.77 [2074]~E(x20741,x20742)+E(f625(x20743,x20741),f625(x20743,x20742)) % 159.04/158.77 [2075]~E(x20751,x20752)+E(f720(x20751),f720(x20752)) % 159.04/158.77 [2076]~E(x20761,x20762)+E(f607(x20761,x20763,x20764,x20765,x20766),f607(x20762,x20763,x20764,x20765,x20766)) % 159.04/158.77 [2077]~E(x20771,x20772)+E(f607(x20773,x20771,x20774,x20775,x20776),f607(x20773,x20772,x20774,x20775,x20776)) % 159.04/158.77 [2078]~E(x20781,x20782)+E(f607(x20783,x20784,x20781,x20785,x20786),f607(x20783,x20784,x20782,x20785,x20786)) % 159.04/158.77 [2079]~E(x20791,x20792)+E(f607(x20793,x20794,x20795,x20791,x20796),f607(x20793,x20794,x20795,x20792,x20796)) % 159.04/158.77 [2080]~E(x20801,x20802)+E(f607(x20803,x20804,x20805,x20806,x20801),f607(x20803,x20804,x20805,x20806,x20802)) % 159.04/158.77 [2081]~E(x20811,x20812)+E(f571(x20811,x20813,x20814,x20815,x20816),f571(x20812,x20813,x20814,x20815,x20816)) % 159.04/158.77 [2082]~E(x20821,x20822)+E(f571(x20823,x20821,x20824,x20825,x20826),f571(x20823,x20822,x20824,x20825,x20826)) % 159.04/158.77 [2083]~E(x20831,x20832)+E(f571(x20833,x20834,x20831,x20835,x20836),f571(x20833,x20834,x20832,x20835,x20836)) % 159.04/158.77 [2084]~E(x20841,x20842)+E(f571(x20843,x20844,x20845,x20841,x20846),f571(x20843,x20844,x20845,x20842,x20846)) % 159.04/158.77 [2085]~E(x20851,x20852)+E(f571(x20853,x20854,x20855,x20856,x20851),f571(x20853,x20854,x20855,x20856,x20852)) % 159.04/158.77 [2086]~E(x20861,x20862)+E(f856(x20861,x20863,x20864),f856(x20862,x20863,x20864)) % 159.04/158.77 [2087]~E(x20871,x20872)+E(f856(x20873,x20871,x20874),f856(x20873,x20872,x20874)) % 159.04/158.77 [2088]~E(x20881,x20882)+E(f856(x20883,x20884,x20881),f856(x20883,x20884,x20882)) % 159.04/158.77 [2089]~E(x20891,x20892)+E(f352(x20891,x20893,x20894),f352(x20892,x20893,x20894)) % 159.04/158.77 [2090]~E(x20901,x20902)+E(f352(x20903,x20901,x20904),f352(x20903,x20902,x20904)) % 159.04/158.77 [2091]~E(x20911,x20912)+E(f352(x20913,x20914,x20911),f352(x20913,x20914,x20912)) % 159.04/158.77 [2092]~E(x20921,x20922)+E(f481(x20921,x20923,x20924,x20925),f481(x20922,x20923,x20924,x20925)) % 159.04/158.77 [2093]~E(x20931,x20932)+E(f481(x20933,x20931,x20934,x20935),f481(x20933,x20932,x20934,x20935)) % 159.04/158.77 [2094]~E(x20941,x20942)+E(f481(x20943,x20944,x20941,x20945),f481(x20943,x20944,x20942,x20945)) % 159.04/158.77 [2095]~E(x20951,x20952)+E(f481(x20953,x20954,x20955,x20951),f481(x20953,x20954,x20955,x20952)) % 159.04/158.77 [2096]~E(x20961,x20962)+E(f860(x20961,x20963),f860(x20962,x20963)) % 159.04/158.77 [2097]~E(x20971,x20972)+E(f860(x20973,x20971),f860(x20973,x20972)) % 159.04/158.77 [2098]~E(x20981,x20982)+E(f783(x20981,x20983,x20984,x20985),f783(x20982,x20983,x20984,x20985)) % 159.04/158.77 [2099]~E(x20991,x20992)+E(f783(x20993,x20991,x20994,x20995),f783(x20993,x20992,x20994,x20995)) % 159.04/158.77 [2100]~E(x21001,x21002)+E(f783(x21003,x21004,x21001,x21005),f783(x21003,x21004,x21002,x21005)) % 159.04/158.77 [2101]~E(x21011,x21012)+E(f783(x21013,x21014,x21015,x21011),f783(x21013,x21014,x21015,x21012)) % 159.04/158.77 [2102]~E(x21021,x21022)+E(f403(x21021,x21023,x21024,x21025),f403(x21022,x21023,x21024,x21025)) % 159.04/158.77 [2103]~E(x21031,x21032)+E(f403(x21033,x21031,x21034,x21035),f403(x21033,x21032,x21034,x21035)) % 159.04/158.77 [2104]~E(x21041,x21042)+E(f403(x21043,x21044,x21041,x21045),f403(x21043,x21044,x21042,x21045)) % 159.04/158.77 [2105]~E(x21051,x21052)+E(f403(x21053,x21054,x21055,x21051),f403(x21053,x21054,x21055,x21052)) % 159.04/158.77 [2106]~E(x21061,x21062)+E(f765(x21061,x21063,x21064,x21065),f765(x21062,x21063,x21064,x21065)) % 159.04/158.77 [2107]~E(x21071,x21072)+E(f765(x21073,x21071,x21074,x21075),f765(x21073,x21072,x21074,x21075)) % 159.04/158.77 [2108]~E(x21081,x21082)+E(f765(x21083,x21084,x21081,x21085),f765(x21083,x21084,x21082,x21085)) % 159.04/158.77 [2109]~E(x21091,x21092)+E(f765(x21093,x21094,x21095,x21091),f765(x21093,x21094,x21095,x21092)) % 159.04/158.77 [2110]~E(x21101,x21102)+E(f577(x21101,x21103,x21104,x21105,x21106),f577(x21102,x21103,x21104,x21105,x21106)) % 159.04/158.77 [2111]~E(x21111,x21112)+E(f577(x21113,x21111,x21114,x21115,x21116),f577(x21113,x21112,x21114,x21115,x21116)) % 159.04/158.77 [2112]~E(x21121,x21122)+E(f577(x21123,x21124,x21121,x21125,x21126),f577(x21123,x21124,x21122,x21125,x21126)) % 159.04/158.77 [2113]~E(x21131,x21132)+E(f577(x21133,x21134,x21135,x21131,x21136),f577(x21133,x21134,x21135,x21132,x21136)) % 159.04/158.77 [2114]~E(x21141,x21142)+E(f577(x21143,x21144,x21145,x21146,x21141),f577(x21143,x21144,x21145,x21146,x21142)) % 159.04/158.77 [2115]~E(x21151,x21152)+E(f440(x21151,x21153,x21154),f440(x21152,x21153,x21154)) % 159.04/158.77 [2116]~E(x21161,x21162)+E(f440(x21163,x21161,x21164),f440(x21163,x21162,x21164)) % 159.04/158.77 [2117]~E(x21171,x21172)+E(f440(x21173,x21174,x21171),f440(x21173,x21174,x21172)) % 159.04/158.77 [2118]~E(x21181,x21182)+E(f718(x21181,x21183,x21184,x21185),f718(x21182,x21183,x21184,x21185)) % 159.04/158.77 [2119]~E(x21191,x21192)+E(f718(x21193,x21191,x21194,x21195),f718(x21193,x21192,x21194,x21195)) % 159.04/158.77 [2120]~E(x21201,x21202)+E(f718(x21203,x21204,x21201,x21205),f718(x21203,x21204,x21202,x21205)) % 159.04/158.77 [2121]~E(x21211,x21212)+E(f718(x21213,x21214,x21215,x21211),f718(x21213,x21214,x21215,x21212)) % 159.04/158.77 [2122]~E(x21221,x21222)+E(f74(x21221,x21223),f74(x21222,x21223)) % 159.04/158.77 [2123]~E(x21231,x21232)+E(f74(x21233,x21231),f74(x21233,x21232)) % 159.04/158.77 [2124]~E(x21241,x21242)+E(f457(x21241,x21243),f457(x21242,x21243)) % 159.04/158.77 [2125]~E(x21251,x21252)+E(f457(x21253,x21251),f457(x21253,x21252)) % 159.04/158.77 [2126]~E(x21261,x21262)+E(f475(x21261,x21263,x21264,x21265),f475(x21262,x21263,x21264,x21265)) % 159.04/158.77 [2127]~E(x21271,x21272)+E(f475(x21273,x21271,x21274,x21275),f475(x21273,x21272,x21274,x21275)) % 159.04/158.77 [2128]~E(x21281,x21282)+E(f475(x21283,x21284,x21281,x21285),f475(x21283,x21284,x21282,x21285)) % 159.04/158.77 [2129]~E(x21291,x21292)+E(f475(x21293,x21294,x21295,x21291),f475(x21293,x21294,x21295,x21292)) % 159.04/158.77 [2130]~E(x21301,x21302)+E(f480(x21301,x21303,x21304,x21305),f480(x21302,x21303,x21304,x21305)) % 159.04/158.77 [2131]~E(x21311,x21312)+E(f480(x21313,x21311,x21314,x21315),f480(x21313,x21312,x21314,x21315)) % 159.04/158.77 [2132]~E(x21321,x21322)+E(f480(x21323,x21324,x21321,x21325),f480(x21323,x21324,x21322,x21325)) % 159.04/158.77 [2133]~E(x21331,x21332)+E(f480(x21333,x21334,x21335,x21331),f480(x21333,x21334,x21335,x21332)) % 159.04/158.77 [2134]~E(x21341,x21342)+E(f859(x21341,x21343,x21344,x21345),f859(x21342,x21343,x21344,x21345)) % 159.04/158.77 [2135]~E(x21351,x21352)+E(f859(x21353,x21351,x21354,x21355),f859(x21353,x21352,x21354,x21355)) % 159.04/158.77 [2136]~E(x21361,x21362)+E(f859(x21363,x21364,x21361,x21365),f859(x21363,x21364,x21362,x21365)) % 159.04/158.77 [2137]~E(x21371,x21372)+E(f859(x21373,x21374,x21375,x21371),f859(x21373,x21374,x21375,x21372)) % 159.04/158.77 [2138]~E(x21381,x21382)+E(f764(x21381,x21383,x21384,x21385,x21386),f764(x21382,x21383,x21384,x21385,x21386)) % 159.04/158.77 [2139]~E(x21391,x21392)+E(f764(x21393,x21391,x21394,x21395,x21396),f764(x21393,x21392,x21394,x21395,x21396)) % 159.04/158.77 [2140]~E(x21401,x21402)+E(f764(x21403,x21404,x21401,x21405,x21406),f764(x21403,x21404,x21402,x21405,x21406)) % 159.04/158.77 [2141]~E(x21411,x21412)+E(f764(x21413,x21414,x21415,x21411,x21416),f764(x21413,x21414,x21415,x21412,x21416)) % 159.04/158.77 [2142]~E(x21421,x21422)+E(f764(x21423,x21424,x21425,x21426,x21421),f764(x21423,x21424,x21425,x21426,x21422)) % 159.04/158.77 [2143]~E(x21431,x21432)+E(f217(x21431),f217(x21432)) % 159.04/158.77 [2144]~E(x21441,x21442)+E(f833(x21441,x21443),f833(x21442,x21443)) % 159.04/158.77 [2145]~E(x21451,x21452)+E(f833(x21453,x21451),f833(x21453,x21452)) % 159.04/158.77 [2146]~E(x21461,x21462)+E(f399(x21461,x21463,x21464,x21465),f399(x21462,x21463,x21464,x21465)) % 159.04/158.77 [2147]~E(x21471,x21472)+E(f399(x21473,x21471,x21474,x21475),f399(x21473,x21472,x21474,x21475)) % 159.04/158.77 [2148]~E(x21481,x21482)+E(f399(x21483,x21484,x21481,x21485),f399(x21483,x21484,x21482,x21485)) % 159.04/158.77 [2149]~E(x21491,x21492)+E(f399(x21493,x21494,x21495,x21491),f399(x21493,x21494,x21495,x21492)) % 159.04/158.77 [2150]~E(x21501,x21502)+E(f761(x21501,x21503,x21504),f761(x21502,x21503,x21504)) % 159.04/158.77 [2151]~E(x21511,x21512)+E(f761(x21513,x21511,x21514),f761(x21513,x21512,x21514)) % 159.04/158.77 [2152]~E(x21521,x21522)+E(f761(x21523,x21524,x21521),f761(x21523,x21524,x21522)) % 159.04/158.77 [2153]~E(x21531,x21532)+E(f690(x21531,x21533,x21534,x21535),f690(x21532,x21533,x21534,x21535)) % 159.04/158.77 [2154]~E(x21541,x21542)+E(f690(x21543,x21541,x21544,x21545),f690(x21543,x21542,x21544,x21545)) % 159.04/158.77 [2155]~E(x21551,x21552)+E(f690(x21553,x21554,x21551,x21555),f690(x21553,x21554,x21552,x21555)) % 159.04/158.77 [2156]~E(x21561,x21562)+E(f690(x21563,x21564,x21565,x21561),f690(x21563,x21564,x21565,x21562)) % 159.04/158.77 [2157]~E(x21571,x21572)+E(f510(x21571,x21573,x21574,x21575,x21576,x21577,x21578),f510(x21572,x21573,x21574,x21575,x21576,x21577,x21578)) % 159.04/158.77 [2158]~E(x21581,x21582)+E(f510(x21583,x21581,x21584,x21585,x21586,x21587,x21588),f510(x21583,x21582,x21584,x21585,x21586,x21587,x21588)) % 159.04/158.77 [2159]~E(x21591,x21592)+E(f510(x21593,x21594,x21591,x21595,x21596,x21597,x21598),f510(x21593,x21594,x21592,x21595,x21596,x21597,x21598)) % 159.04/158.77 [2160]~E(x21601,x21602)+E(f510(x21603,x21604,x21605,x21601,x21606,x21607,x21608),f510(x21603,x21604,x21605,x21602,x21606,x21607,x21608)) % 159.04/158.77 [2161]~E(x21611,x21612)+E(f510(x21613,x21614,x21615,x21616,x21611,x21617,x21618),f510(x21613,x21614,x21615,x21616,x21612,x21617,x21618)) % 159.04/158.77 [2162]~E(x21621,x21622)+E(f510(x21623,x21624,x21625,x21626,x21627,x21621,x21628),f510(x21623,x21624,x21625,x21626,x21627,x21622,x21628)) % 159.04/158.77 [2163]~E(x21631,x21632)+E(f510(x21633,x21634,x21635,x21636,x21637,x21638,x21631),f510(x21633,x21634,x21635,x21636,x21637,x21638,x21632)) % 159.04/158.77 [2164]~E(x21641,x21642)+E(f519(x21641,x21643,x21644),f519(x21642,x21643,x21644)) % 159.04/158.77 [2165]~E(x21651,x21652)+E(f519(x21653,x21651,x21654),f519(x21653,x21652,x21654)) % 159.04/158.77 [2166]~E(x21661,x21662)+E(f519(x21663,x21664,x21661),f519(x21663,x21664,x21662)) % 159.04/158.77 [2167]~E(x21671,x21672)+E(f858(x21671,x21673,x21674,x21675),f858(x21672,x21673,x21674,x21675)) % 159.04/158.77 [2168]~E(x21681,x21682)+E(f858(x21683,x21681,x21684,x21685),f858(x21683,x21682,x21684,x21685)) % 159.04/158.77 [2169]~E(x21691,x21692)+E(f858(x21693,x21694,x21691,x21695),f858(x21693,x21694,x21692,x21695)) % 159.04/158.77 [2170]~E(x21701,x21702)+E(f858(x21703,x21704,x21705,x21701),f858(x21703,x21704,x21705,x21702)) % 159.04/158.77 [2171]~E(x21711,x21712)+E(f605(x21711,x21713,x21714,x21715),f605(x21712,x21713,x21714,x21715)) % 159.04/158.77 [2172]~E(x21721,x21722)+E(f605(x21723,x21721,x21724,x21725),f605(x21723,x21722,x21724,x21725)) % 159.04/158.77 [2173]~E(x21731,x21732)+E(f605(x21733,x21734,x21731,x21735),f605(x21733,x21734,x21732,x21735)) % 159.04/158.77 [2174]~E(x21741,x21742)+E(f605(x21743,x21744,x21745,x21741),f605(x21743,x21744,x21745,x21742)) % 159.04/158.77 [2175]~E(x21751,x21752)+E(f637(x21751,x21753),f637(x21752,x21753)) % 159.04/158.77 [2176]~E(x21761,x21762)+E(f637(x21763,x21761),f637(x21763,x21762)) % 159.04/158.77 [2177]~E(x21771,x21772)+E(f749(x21771,x21773,x21774),f749(x21772,x21773,x21774)) % 159.04/158.77 [2178]~E(x21781,x21782)+E(f749(x21783,x21781,x21784),f749(x21783,x21782,x21784)) % 159.04/158.77 [2179]~E(x21791,x21792)+E(f749(x21793,x21794,x21791),f749(x21793,x21794,x21792)) % 159.04/158.77 [2180]~E(x21801,x21802)+E(f770(x21801,x21803,x21804,x21805,x21806),f770(x21802,x21803,x21804,x21805,x21806)) % 159.04/158.77 [2181]~E(x21811,x21812)+E(f770(x21813,x21811,x21814,x21815,x21816),f770(x21813,x21812,x21814,x21815,x21816)) % 159.04/158.77 [2182]~E(x21821,x21822)+E(f770(x21823,x21824,x21821,x21825,x21826),f770(x21823,x21824,x21822,x21825,x21826)) % 159.04/158.77 [2183]~E(x21831,x21832)+E(f770(x21833,x21834,x21835,x21831,x21836),f770(x21833,x21834,x21835,x21832,x21836)) % 159.04/158.77 [2184]~E(x21841,x21842)+E(f770(x21843,x21844,x21845,x21846,x21841),f770(x21843,x21844,x21845,x21846,x21842)) % 159.04/158.77 [2185]~E(x21851,x21852)+E(f482(x21851,x21853,x21854,x21855),f482(x21852,x21853,x21854,x21855)) % 159.04/158.77 [2186]~E(x21861,x21862)+E(f482(x21863,x21861,x21864,x21865),f482(x21863,x21862,x21864,x21865)) % 159.04/158.77 [2187]~E(x21871,x21872)+E(f482(x21873,x21874,x21871,x21875),f482(x21873,x21874,x21872,x21875)) % 159.04/158.77 [2188]~E(x21881,x21882)+E(f482(x21883,x21884,x21885,x21881),f482(x21883,x21884,x21885,x21882)) % 159.04/158.77 [2189]~E(x21891,x21892)+E(f691(x21891,x21893,x21894,x21895),f691(x21892,x21893,x21894,x21895)) % 159.04/158.77 [2190]~E(x21901,x21902)+E(f691(x21903,x21901,x21904,x21905),f691(x21903,x21902,x21904,x21905)) % 159.04/158.77 [2191]~E(x21911,x21912)+E(f691(x21913,x21914,x21911,x21915),f691(x21913,x21914,x21912,x21915)) % 159.04/158.77 [2192]~E(x21921,x21922)+E(f691(x21923,x21924,x21925,x21921),f691(x21923,x21924,x21925,x21922)) % 159.04/158.77 [2193]~E(x21931,x21932)+E(f355(x21931),f355(x21932)) % 159.04/158.77 [2194]~E(x21941,x21942)+E(f827(x21941,x21943,x21944,x21945),f827(x21942,x21943,x21944,x21945)) % 159.04/158.77 [2195]~E(x21951,x21952)+E(f827(x21953,x21951,x21954,x21955),f827(x21953,x21952,x21954,x21955)) % 159.04/158.77 [2196]~E(x21961,x21962)+E(f827(x21963,x21964,x21961,x21965),f827(x21963,x21964,x21962,x21965)) % 159.04/158.77 [2197]~E(x21971,x21972)+E(f827(x21973,x21974,x21975,x21971),f827(x21973,x21974,x21975,x21972)) % 159.04/158.77 [2198]~E(x21981,x21982)+E(f414(x21981,x21983),f414(x21982,x21983)) % 159.04/158.77 [2199]~E(x21991,x21992)+E(f414(x21993,x21991),f414(x21993,x21992)) % 159.04/158.77 [2200]~E(x22001,x22002)+E(f485(x22001,x22003,x22004,x22005),f485(x22002,x22003,x22004,x22005)) % 159.04/158.77 [2201]~E(x22011,x22012)+E(f485(x22013,x22011,x22014,x22015),f485(x22013,x22012,x22014,x22015)) % 159.04/158.77 [2202]~E(x22021,x22022)+E(f485(x22023,x22024,x22021,x22025),f485(x22023,x22024,x22022,x22025)) % 159.04/158.77 [2203]~E(x22031,x22032)+E(f485(x22033,x22034,x22035,x22031),f485(x22033,x22034,x22035,x22032)) % 159.04/158.77 [2204]~E(x22041,x22042)+E(f336(x22041),f336(x22042)) % 159.04/158.77 [2205]~E(x22051,x22052)+E(f348(x22051,x22053),f348(x22052,x22053)) % 159.04/158.77 [2206]~E(x22061,x22062)+E(f348(x22063,x22061),f348(x22063,x22062)) % 159.04/158.77 [2207]~E(x22071,x22072)+E(f516(x22071,x22073),f516(x22072,x22073)) % 159.04/158.77 [2208]~E(x22081,x22082)+E(f516(x22083,x22081),f516(x22083,x22082)) % 159.04/158.77 [2209]~E(x22091,x22092)+E(f617(x22091,x22093,x22094,x22095,x22096),f617(x22092,x22093,x22094,x22095,x22096)) % 159.04/158.77 [2210]~E(x22101,x22102)+E(f617(x22103,x22101,x22104,x22105,x22106),f617(x22103,x22102,x22104,x22105,x22106)) % 159.04/158.77 [2211]~E(x22111,x22112)+E(f617(x22113,x22114,x22111,x22115,x22116),f617(x22113,x22114,x22112,x22115,x22116)) % 159.04/158.77 [2212]~E(x22121,x22122)+E(f617(x22123,x22124,x22125,x22121,x22126),f617(x22123,x22124,x22125,x22122,x22126)) % 159.04/158.77 [2213]~E(x22131,x22132)+E(f617(x22133,x22134,x22135,x22136,x22131),f617(x22133,x22134,x22135,x22136,x22132)) % 159.04/158.77 [2214]~E(x22141,x22142)+E(f814(x22141,x22143),f814(x22142,x22143)) % 159.04/158.77 [2215]~E(x22151,x22152)+E(f814(x22153,x22151),f814(x22153,x22152)) % 159.04/158.77 [2216]~E(x22161,x22162)+E(f515(x22161,x22163,x22164),f515(x22162,x22163,x22164)) % 159.04/158.77 [2217]~E(x22171,x22172)+E(f515(x22173,x22171,x22174),f515(x22173,x22172,x22174)) % 159.04/158.77 [2218]~E(x22181,x22182)+E(f515(x22183,x22184,x22181),f515(x22183,x22184,x22182)) % 159.04/158.77 [2219]~E(x22191,x22192)+E(f853(x22191),f853(x22192)) % 159.04/158.77 [2220]~E(x22201,x22202)+E(f295(x22201,x22203,x22204,x22205,x22206),f295(x22202,x22203,x22204,x22205,x22206)) % 159.04/158.77 [2221]~E(x22211,x22212)+E(f295(x22213,x22211,x22214,x22215,x22216),f295(x22213,x22212,x22214,x22215,x22216)) % 159.04/158.77 [2222]~E(x22221,x22222)+E(f295(x22223,x22224,x22221,x22225,x22226),f295(x22223,x22224,x22222,x22225,x22226)) % 159.04/158.77 [2223]~E(x22231,x22232)+E(f295(x22233,x22234,x22235,x22231,x22236),f295(x22233,x22234,x22235,x22232,x22236)) % 159.04/158.77 [2224]~E(x22241,x22242)+E(f295(x22243,x22244,x22245,x22246,x22241),f295(x22243,x22244,x22245,x22246,x22242)) % 159.04/158.77 [2225]~E(x22251,x22252)+E(f364(x22251,x22253,x22254,x22255),f364(x22252,x22253,x22254,x22255)) % 159.04/158.77 [2226]~E(x22261,x22262)+E(f364(x22263,x22261,x22264,x22265),f364(x22263,x22262,x22264,x22265)) % 159.04/158.77 [2227]~E(x22271,x22272)+E(f364(x22273,x22274,x22271,x22275),f364(x22273,x22274,x22272,x22275)) % 159.04/158.77 [2228]~E(x22281,x22282)+E(f364(x22283,x22284,x22285,x22281),f364(x22283,x22284,x22285,x22282)) % 159.04/158.77 [2229]~E(x22291,x22292)+E(f346(x22291,x22293,x22294,x22295,x22296,x22297),f346(x22292,x22293,x22294,x22295,x22296,x22297)) % 159.04/158.77 [2230]~E(x22301,x22302)+E(f346(x22303,x22301,x22304,x22305,x22306,x22307),f346(x22303,x22302,x22304,x22305,x22306,x22307)) % 159.04/158.77 [2231]~E(x22311,x22312)+E(f346(x22313,x22314,x22311,x22315,x22316,x22317),f346(x22313,x22314,x22312,x22315,x22316,x22317)) % 159.04/158.77 [2232]~E(x22321,x22322)+E(f346(x22323,x22324,x22325,x22321,x22326,x22327),f346(x22323,x22324,x22325,x22322,x22326,x22327)) % 159.04/158.77 [2233]~E(x22331,x22332)+E(f346(x22333,x22334,x22335,x22336,x22331,x22337),f346(x22333,x22334,x22335,x22336,x22332,x22337)) % 159.04/158.77 [2234]~E(x22341,x22342)+E(f346(x22343,x22344,x22345,x22346,x22347,x22341),f346(x22343,x22344,x22345,x22346,x22347,x22342)) % 159.04/158.77 [2235]~E(x22351,x22352)+E(f736(x22351,x22353,x22354,x22355,x22356,x22357,x22358),f736(x22352,x22353,x22354,x22355,x22356,x22357,x22358)) % 159.04/158.77 [2236]~E(x22361,x22362)+E(f736(x22363,x22361,x22364,x22365,x22366,x22367,x22368),f736(x22363,x22362,x22364,x22365,x22366,x22367,x22368)) % 159.04/158.77 [2237]~E(x22371,x22372)+E(f736(x22373,x22374,x22371,x22375,x22376,x22377,x22378),f736(x22373,x22374,x22372,x22375,x22376,x22377,x22378)) % 159.04/158.77 [2238]~E(x22381,x22382)+E(f736(x22383,x22384,x22385,x22381,x22386,x22387,x22388),f736(x22383,x22384,x22385,x22382,x22386,x22387,x22388)) % 159.04/158.77 [2239]~E(x22391,x22392)+E(f736(x22393,x22394,x22395,x22396,x22391,x22397,x22398),f736(x22393,x22394,x22395,x22396,x22392,x22397,x22398)) % 159.04/158.77 [2240]~E(x22401,x22402)+E(f736(x22403,x22404,x22405,x22406,x22407,x22401,x22408),f736(x22403,x22404,x22405,x22406,x22407,x22402,x22408)) % 159.04/158.77 [2241]~E(x22411,x22412)+E(f736(x22413,x22414,x22415,x22416,x22417,x22418,x22411),f736(x22413,x22414,x22415,x22416,x22417,x22418,x22412)) % 159.04/158.77 [2242]~E(x22421,x22422)+E(f384(x22421,x22423,x22424),f384(x22422,x22423,x22424)) % 159.04/158.77 [2243]~E(x22431,x22432)+E(f384(x22433,x22431,x22434),f384(x22433,x22432,x22434)) % 159.04/158.77 [2244]~E(x22441,x22442)+E(f384(x22443,x22444,x22441),f384(x22443,x22444,x22442)) % 159.04/158.77 [2245]~E(x22451,x22452)+E(f719(x22451,x22453,x22454,x22455,x22456),f719(x22452,x22453,x22454,x22455,x22456)) % 159.04/158.77 [2246]~E(x22461,x22462)+E(f719(x22463,x22461,x22464,x22465,x22466),f719(x22463,x22462,x22464,x22465,x22466)) % 159.04/158.77 [2247]~E(x22471,x22472)+E(f719(x22473,x22474,x22471,x22475,x22476),f719(x22473,x22474,x22472,x22475,x22476)) % 159.04/158.77 [2248]~E(x22481,x22482)+E(f719(x22483,x22484,x22485,x22481,x22486),f719(x22483,x22484,x22485,x22482,x22486)) % 159.04/158.77 [2249]~E(x22491,x22492)+E(f719(x22493,x22494,x22495,x22496,x22491),f719(x22493,x22494,x22495,x22496,x22492)) % 159.04/158.77 [2250]~E(x22501,x22502)+E(f434(x22501,x22503),f434(x22502,x22503)) % 159.04/158.77 [2251]~E(x22511,x22512)+E(f434(x22513,x22511),f434(x22513,x22512)) % 159.04/158.77 [2252]~E(x22521,x22522)+E(f426(x22521,x22523),f426(x22522,x22523)) % 159.04/158.77 [2253]~E(x22531,x22532)+E(f426(x22533,x22531),f426(x22533,x22532)) % 159.04/158.77 [2254]~E(x22541,x22542)+E(f425(x22541,x22543),f425(x22542,x22543)) % 159.04/158.77 [2255]~E(x22551,x22552)+E(f425(x22553,x22551),f425(x22553,x22552)) % 159.04/158.77 [2256]~E(x22561,x22562)+E(f634(x22561,x22563,x22564),f634(x22562,x22563,x22564)) % 159.04/158.77 [2257]~E(x22571,x22572)+E(f634(x22573,x22571,x22574),f634(x22573,x22572,x22574)) % 159.04/158.77 [2258]~E(x22581,x22582)+E(f634(x22583,x22584,x22581),f634(x22583,x22584,x22582)) % 159.04/158.77 [2259]~E(x22591,x22592)+E(f807(x22591,x22593,x22594),f807(x22592,x22593,x22594)) % 159.04/158.77 [2260]~E(x22601,x22602)+E(f807(x22603,x22601,x22604),f807(x22603,x22602,x22604)) % 159.04/158.77 [2261]~E(x22611,x22612)+E(f807(x22613,x22614,x22611),f807(x22613,x22614,x22612)) % 159.04/158.77 [2262]~E(x22621,x22622)+E(f357(x22621),f357(x22622)) % 159.04/158.77 [2263]~E(x22631,x22632)+E(f502(x22631,x22633,x22634,x22635,x22636,x22637,x22638),f502(x22632,x22633,x22634,x22635,x22636,x22637,x22638)) % 159.04/158.77 [2264]~E(x22641,x22642)+E(f502(x22643,x22641,x22644,x22645,x22646,x22647,x22648),f502(x22643,x22642,x22644,x22645,x22646,x22647,x22648)) % 159.04/158.77 [2265]~E(x22651,x22652)+E(f502(x22653,x22654,x22651,x22655,x22656,x22657,x22658),f502(x22653,x22654,x22652,x22655,x22656,x22657,x22658)) % 159.04/158.77 [2266]~E(x22661,x22662)+E(f502(x22663,x22664,x22665,x22661,x22666,x22667,x22668),f502(x22663,x22664,x22665,x22662,x22666,x22667,x22668)) % 159.04/158.77 [2267]~E(x22671,x22672)+E(f502(x22673,x22674,x22675,x22676,x22671,x22677,x22678),f502(x22673,x22674,x22675,x22676,x22672,x22677,x22678)) % 159.04/158.77 [2268]~E(x22681,x22682)+E(f502(x22683,x22684,x22685,x22686,x22687,x22681,x22688),f502(x22683,x22684,x22685,x22686,x22687,x22682,x22688)) % 159.04/158.77 [2269]~E(x22691,x22692)+E(f502(x22693,x22694,x22695,x22696,x22697,x22698,x22691),f502(x22693,x22694,x22695,x22696,x22697,x22698,x22692)) % 159.04/158.77 [2270]~E(x22701,x22702)+E(f467(x22701,x22703,x22704),f467(x22702,x22703,x22704)) % 159.04/158.77 [2271]~E(x22711,x22712)+E(f467(x22713,x22711,x22714),f467(x22713,x22712,x22714)) % 159.04/158.77 [2272]~E(x22721,x22722)+E(f467(x22723,x22724,x22721),f467(x22723,x22724,x22722)) % 159.04/158.77 [2273]~E(x22731,x22732)+E(f693(x22731,x22733,x22734,x22735,x22736),f693(x22732,x22733,x22734,x22735,x22736)) % 159.04/158.77 [2274]~E(x22741,x22742)+E(f693(x22743,x22741,x22744,x22745,x22746),f693(x22743,x22742,x22744,x22745,x22746)) % 159.04/158.77 [2275]~E(x22751,x22752)+E(f693(x22753,x22754,x22751,x22755,x22756),f693(x22753,x22754,x22752,x22755,x22756)) % 159.04/158.77 [2276]~E(x22761,x22762)+E(f693(x22763,x22764,x22765,x22761,x22766),f693(x22763,x22764,x22765,x22762,x22766)) % 159.04/158.77 [2277]~E(x22771,x22772)+E(f693(x22773,x22774,x22775,x22776,x22771),f693(x22773,x22774,x22775,x22776,x22772)) % 159.04/158.77 [2278]~E(x22781,x22782)+E(f372(x22781),f372(x22782)) % 159.04/158.77 [2279]~E(x22791,x22792)+E(f658(x22791,x22793,x22794),f658(x22792,x22793,x22794)) % 159.04/158.77 [2280]~E(x22801,x22802)+E(f658(x22803,x22801,x22804),f658(x22803,x22802,x22804)) % 159.04/158.77 [2281]~E(x22811,x22812)+E(f658(x22813,x22814,x22811),f658(x22813,x22814,x22812)) % 159.04/158.77 [2282]~E(x22821,x22822)+E(f704(x22821,x22823,x22824,x22825),f704(x22822,x22823,x22824,x22825)) % 159.04/158.77 [2283]~E(x22831,x22832)+E(f704(x22833,x22831,x22834,x22835),f704(x22833,x22832,x22834,x22835)) % 159.04/158.77 [2284]~E(x22841,x22842)+E(f704(x22843,x22844,x22841,x22845),f704(x22843,x22844,x22842,x22845)) % 159.04/158.77 [2285]~E(x22851,x22852)+E(f704(x22853,x22854,x22855,x22851),f704(x22853,x22854,x22855,x22852)) % 159.04/158.77 [2286]~E(x22861,x22862)+E(f868(x22861,x22863,x22864,x22865,x22866),f868(x22862,x22863,x22864,x22865,x22866)) % 159.04/158.77 [2287]~E(x22871,x22872)+E(f868(x22873,x22871,x22874,x22875,x22876),f868(x22873,x22872,x22874,x22875,x22876)) % 159.04/158.77 [2288]~E(x22881,x22882)+E(f868(x22883,x22884,x22881,x22885,x22886),f868(x22883,x22884,x22882,x22885,x22886)) % 159.04/158.77 [2289]~E(x22891,x22892)+E(f868(x22893,x22894,x22895,x22891,x22896),f868(x22893,x22894,x22895,x22892,x22896)) % 159.04/158.77 [2290]~E(x22901,x22902)+E(f868(x22903,x22904,x22905,x22906,x22901),f868(x22903,x22904,x22905,x22906,x22902)) % 159.04/158.77 [2291]~E(x22911,x22912)+E(f427(x22911,x22913),f427(x22912,x22913)) % 159.04/158.77 [2292]~E(x22921,x22922)+E(f427(x22923,x22921),f427(x22923,x22922)) % 159.04/158.77 [2293]~E(x22931,x22932)+E(f829(x22931,x22933,x22934,x22935,x22936),f829(x22932,x22933,x22934,x22935,x22936)) % 159.04/158.77 [2294]~E(x22941,x22942)+E(f829(x22943,x22941,x22944,x22945,x22946),f829(x22943,x22942,x22944,x22945,x22946)) % 159.04/158.77 [2295]~E(x22951,x22952)+E(f829(x22953,x22954,x22951,x22955,x22956),f829(x22953,x22954,x22952,x22955,x22956)) % 159.04/158.77 [2296]~E(x22961,x22962)+E(f829(x22963,x22964,x22965,x22961,x22966),f829(x22963,x22964,x22965,x22962,x22966)) % 159.04/158.77 [2297]~E(x22971,x22972)+E(f829(x22973,x22974,x22975,x22976,x22971),f829(x22973,x22974,x22975,x22976,x22972)) % 159.04/158.77 [2298]~E(x22981,x22982)+E(f437(x22981,x22983,x22984),f437(x22982,x22983,x22984)) % 159.04/158.77 [2299]~E(x22991,x22992)+E(f437(x22993,x22991,x22994),f437(x22993,x22992,x22994)) % 159.04/158.77 [2300]~E(x23001,x23002)+E(f437(x23003,x23004,x23001),f437(x23003,x23004,x23002)) % 159.04/158.77 [2301]~E(x23011,x23012)+E(f358(x23011,x23013),f358(x23012,x23013)) % 159.04/158.77 [2302]~E(x23021,x23022)+E(f358(x23023,x23021),f358(x23023,x23022)) % 159.04/158.77 [2303]~E(x23031,x23032)+E(f738(x23031,x23033,x23034,x23035),f738(x23032,x23033,x23034,x23035)) % 159.04/158.77 [2304]~E(x23041,x23042)+E(f738(x23043,x23041,x23044,x23045),f738(x23043,x23042,x23044,x23045)) % 159.04/158.77 [2305]~E(x23051,x23052)+E(f738(x23053,x23054,x23051,x23055),f738(x23053,x23054,x23052,x23055)) % 159.04/158.77 [2306]~E(x23061,x23062)+E(f738(x23063,x23064,x23065,x23061),f738(x23063,x23064,x23065,x23062)) % 159.04/158.77 [2307]~E(x23071,x23072)+E(f444(x23071,x23073,x23074),f444(x23072,x23073,x23074)) % 159.04/158.77 [2308]~E(x23081,x23082)+E(f444(x23083,x23081,x23084),f444(x23083,x23082,x23084)) % 159.04/158.77 [2309]~E(x23091,x23092)+E(f444(x23093,x23094,x23091),f444(x23093,x23094,x23092)) % 159.04/158.77 [2310]~E(x23101,x23102)+E(f497(x23101,x23103,x23104,x23105,x23106),f497(x23102,x23103,x23104,x23105,x23106)) % 159.04/158.77 [2311]~E(x23111,x23112)+E(f497(x23113,x23111,x23114,x23115,x23116),f497(x23113,x23112,x23114,x23115,x23116)) % 159.04/158.77 [2312]~E(x23121,x23122)+E(f497(x23123,x23124,x23121,x23125,x23126),f497(x23123,x23124,x23122,x23125,x23126)) % 159.04/158.77 [2313]~E(x23131,x23132)+E(f497(x23133,x23134,x23135,x23131,x23136),f497(x23133,x23134,x23135,x23132,x23136)) % 159.04/158.77 [2314]~E(x23141,x23142)+E(f497(x23143,x23144,x23145,x23146,x23141),f497(x23143,x23144,x23145,x23146,x23142)) % 159.04/158.77 [2315]~E(x23151,x23152)+E(f559(x23151,x23153,x23154,x23155),f559(x23152,x23153,x23154,x23155)) % 159.04/158.77 [2316]~E(x23161,x23162)+E(f559(x23163,x23161,x23164,x23165),f559(x23163,x23162,x23164,x23165)) % 159.04/158.77 [2317]~E(x23171,x23172)+E(f559(x23173,x23174,x23171,x23175),f559(x23173,x23174,x23172,x23175)) % 159.04/158.77 [2318]~E(x23181,x23182)+E(f559(x23183,x23184,x23185,x23181),f559(x23183,x23184,x23185,x23182)) % 159.04/158.77 [2319]~E(x23191,x23192)+E(f552(x23191,x23193),f552(x23192,x23193)) % 159.04/158.77 [2320]~E(x23201,x23202)+E(f552(x23203,x23201),f552(x23203,x23202)) % 159.04/158.77 [2321]~E(x23211,x23212)+E(f483(x23211,x23213,x23214,x23215),f483(x23212,x23213,x23214,x23215)) % 159.04/158.77 [2322]~E(x23221,x23222)+E(f483(x23223,x23221,x23224,x23225),f483(x23223,x23222,x23224,x23225)) % 159.04/158.77 [2323]~E(x23231,x23232)+E(f483(x23233,x23234,x23231,x23235),f483(x23233,x23234,x23232,x23235)) % 159.04/158.77 [2324]~E(x23241,x23242)+E(f483(x23243,x23244,x23245,x23241),f483(x23243,x23244,x23245,x23242)) % 159.04/158.77 [2325]~E(x23251,x23252)+E(f578(x23251,x23253,x23254,x23255,x23256),f578(x23252,x23253,x23254,x23255,x23256)) % 159.04/158.77 [2326]~E(x23261,x23262)+E(f578(x23263,x23261,x23264,x23265,x23266),f578(x23263,x23262,x23264,x23265,x23266)) % 159.04/158.77 [2327]~E(x23271,x23272)+E(f578(x23273,x23274,x23271,x23275,x23276),f578(x23273,x23274,x23272,x23275,x23276)) % 159.04/158.77 [2328]~E(x23281,x23282)+E(f578(x23283,x23284,x23285,x23281,x23286),f578(x23283,x23284,x23285,x23282,x23286)) % 159.04/158.77 [2329]~E(x23291,x23292)+E(f578(x23293,x23294,x23295,x23296,x23291),f578(x23293,x23294,x23295,x23296,x23292)) % 159.04/158.77 [2330]~E(x23301,x23302)+E(f495(x23301,x23303,x23304,x23305),f495(x23302,x23303,x23304,x23305)) % 159.04/158.77 [2331]~E(x23311,x23312)+E(f495(x23313,x23311,x23314,x23315),f495(x23313,x23312,x23314,x23315)) % 159.04/158.77 [2332]~E(x23321,x23322)+E(f495(x23323,x23324,x23321,x23325),f495(x23323,x23324,x23322,x23325)) % 159.04/158.77 [2333]~E(x23331,x23332)+E(f495(x23333,x23334,x23335,x23331),f495(x23333,x23334,x23335,x23332)) % 159.04/158.77 [2334]~E(x23341,x23342)+E(f501(x23341,x23343,x23344,x23345),f501(x23342,x23343,x23344,x23345)) % 159.04/158.77 [2335]~E(x23351,x23352)+E(f501(x23353,x23351,x23354,x23355),f501(x23353,x23352,x23354,x23355)) % 159.04/158.77 [2336]~E(x23361,x23362)+E(f501(x23363,x23364,x23361,x23365),f501(x23363,x23364,x23362,x23365)) % 159.04/158.77 [2337]~E(x23371,x23372)+E(f501(x23373,x23374,x23375,x23371),f501(x23373,x23374,x23375,x23372)) % 159.04/158.77 [2338]~E(x23381,x23382)+E(f421(x23381,x23383,x23384,x23385),f421(x23382,x23383,x23384,x23385)) % 159.04/158.77 [2339]~E(x23391,x23392)+E(f421(x23393,x23391,x23394,x23395),f421(x23393,x23392,x23394,x23395)) % 159.04/158.77 [2340]~E(x23401,x23402)+E(f421(x23403,x23404,x23401,x23405),f421(x23403,x23404,x23402,x23405)) % 159.04/158.77 [2341]~E(x23411,x23412)+E(f421(x23413,x23414,x23415,x23411),f421(x23413,x23414,x23415,x23412)) % 159.04/158.77 [2342]~E(x23421,x23422)+E(f474(x23421,x23423,x23424,x23425),f474(x23422,x23423,x23424,x23425)) % 159.04/158.77 [2343]~E(x23431,x23432)+E(f474(x23433,x23431,x23434,x23435),f474(x23433,x23432,x23434,x23435)) % 159.04/158.77 [2344]~E(x23441,x23442)+E(f474(x23443,x23444,x23441,x23445),f474(x23443,x23444,x23442,x23445)) % 159.04/158.77 [2345]~E(x23451,x23452)+E(f474(x23453,x23454,x23455,x23451),f474(x23453,x23454,x23455,x23452)) % 159.04/158.77 [2346]~E(x23461,x23462)+E(f850(x23461,x23463,x23464),f850(x23462,x23463,x23464)) % 159.04/158.77 [2347]~E(x23471,x23472)+E(f850(x23473,x23471,x23474),f850(x23473,x23472,x23474)) % 159.04/158.77 [2348]~E(x23481,x23482)+E(f850(x23483,x23484,x23481),f850(x23483,x23484,x23482)) % 159.04/158.77 [2349]~E(x23491,x23492)+E(f278(x23491,x23493),f278(x23492,x23493)) % 159.04/158.77 [2350]~E(x23501,x23502)+E(f278(x23503,x23501),f278(x23503,x23502)) % 159.04/158.77 [2351]~E(x23511,x23512)+E(f396(x23511,x23513,x23514,x23515),f396(x23512,x23513,x23514,x23515)) % 159.04/158.77 [2352]~E(x23521,x23522)+E(f396(x23523,x23521,x23524,x23525),f396(x23523,x23522,x23524,x23525)) % 159.04/158.77 [2353]~E(x23531,x23532)+E(f396(x23533,x23534,x23531,x23535),f396(x23533,x23534,x23532,x23535)) % 159.04/158.77 [2354]~E(x23541,x23542)+E(f396(x23543,x23544,x23545,x23541),f396(x23543,x23544,x23545,x23542)) % 159.04/158.77 [2355]~E(x23551,x23552)+E(f484(x23551,x23553,x23554,x23555),f484(x23552,x23553,x23554,x23555)) % 159.04/158.77 [2356]~E(x23561,x23562)+E(f484(x23563,x23561,x23564,x23565),f484(x23563,x23562,x23564,x23565)) % 159.04/158.77 [2357]~E(x23571,x23572)+E(f484(x23573,x23574,x23571,x23575),f484(x23573,x23574,x23572,x23575)) % 159.04/158.77 [2358]~E(x23581,x23582)+E(f484(x23583,x23584,x23585,x23581),f484(x23583,x23584,x23585,x23582)) % 159.04/158.77 [2359]~E(x23591,x23592)+E(f703(x23591,x23593,x23594,x23595,x23596),f703(x23592,x23593,x23594,x23595,x23596)) % 159.04/158.77 [2360]~E(x23601,x23602)+E(f703(x23603,x23601,x23604,x23605,x23606),f703(x23603,x23602,x23604,x23605,x23606)) % 159.04/158.77 [2361]~E(x23611,x23612)+E(f703(x23613,x23614,x23611,x23615,x23616),f703(x23613,x23614,x23612,x23615,x23616)) % 159.04/158.77 [2362]~E(x23621,x23622)+E(f703(x23623,x23624,x23625,x23621,x23626),f703(x23623,x23624,x23625,x23622,x23626)) % 159.04/158.77 [2363]~E(x23631,x23632)+E(f703(x23633,x23634,x23635,x23636,x23631),f703(x23633,x23634,x23635,x23636,x23632)) % 159.04/158.77 [2364]~E(x23641,x23642)+E(f227(x23641,x23643),f227(x23642,x23643)) % 159.04/158.77 [2365]~E(x23651,x23652)+E(f227(x23653,x23651),f227(x23653,x23652)) % 159.04/158.77 [2366]~E(x23661,x23662)+E(f741(x23661,x23663,x23664,x23665),f741(x23662,x23663,x23664,x23665)) % 159.04/158.77 [2367]~E(x23671,x23672)+E(f741(x23673,x23671,x23674,x23675),f741(x23673,x23672,x23674,x23675)) % 159.04/158.77 [2368]~E(x23681,x23682)+E(f741(x23683,x23684,x23681,x23685),f741(x23683,x23684,x23682,x23685)) % 159.04/158.77 [2369]~E(x23691,x23692)+E(f741(x23693,x23694,x23695,x23691),f741(x23693,x23694,x23695,x23692)) % 159.04/158.77 [2370]~E(x23701,x23702)+E(f823(x23701,x23703,x23704,x23705),f823(x23702,x23703,x23704,x23705)) % 159.04/158.77 [2371]~E(x23711,x23712)+E(f823(x23713,x23711,x23714,x23715),f823(x23713,x23712,x23714,x23715)) % 159.04/158.77 [2372]~E(x23721,x23722)+E(f823(x23723,x23724,x23721,x23725),f823(x23723,x23724,x23722,x23725)) % 159.04/158.77 [2373]~E(x23731,x23732)+E(f823(x23733,x23734,x23735,x23731),f823(x23733,x23734,x23735,x23732)) % 159.04/158.77 [2374]~E(x23741,x23742)+E(f627(x23741,x23743),f627(x23742,x23743)) % 159.04/158.77 [2375]~E(x23751,x23752)+E(f627(x23753,x23751),f627(x23753,x23752)) % 159.04/158.77 [2376]~E(x23761,x23762)+E(f648(x23761,x23763),f648(x23762,x23763)) % 159.04/158.77 [2377]~E(x23771,x23772)+E(f648(x23773,x23771),f648(x23773,x23772)) % 159.04/158.77 [2378]~E(x23781,x23782)+E(f734(x23781,x23783,x23784,x23785,x23786,x23787,x23788),f734(x23782,x23783,x23784,x23785,x23786,x23787,x23788)) % 159.04/158.77 [2379]~E(x23791,x23792)+E(f734(x23793,x23791,x23794,x23795,x23796,x23797,x23798),f734(x23793,x23792,x23794,x23795,x23796,x23797,x23798)) % 159.04/158.77 [2380]~E(x23801,x23802)+E(f734(x23803,x23804,x23801,x23805,x23806,x23807,x23808),f734(x23803,x23804,x23802,x23805,x23806,x23807,x23808)) % 159.04/158.77 [2381]~E(x23811,x23812)+E(f734(x23813,x23814,x23815,x23811,x23816,x23817,x23818),f734(x23813,x23814,x23815,x23812,x23816,x23817,x23818)) % 159.04/158.77 [2382]~E(x23821,x23822)+E(f734(x23823,x23824,x23825,x23826,x23821,x23827,x23828),f734(x23823,x23824,x23825,x23826,x23822,x23827,x23828)) % 159.04/158.77 [2383]~E(x23831,x23832)+E(f734(x23833,x23834,x23835,x23836,x23837,x23831,x23838),f734(x23833,x23834,x23835,x23836,x23837,x23832,x23838)) % 159.04/158.77 [2384]~E(x23841,x23842)+E(f734(x23843,x23844,x23845,x23846,x23847,x23848,x23841),f734(x23843,x23844,x23845,x23846,x23847,x23848,x23842)) % 159.04/158.77 [2385]~E(x23851,x23852)+E(f422(x23851,x23853,x23854,x23855,x23856),f422(x23852,x23853,x23854,x23855,x23856)) % 159.04/158.77 [2386]~E(x23861,x23862)+E(f422(x23863,x23861,x23864,x23865,x23866),f422(x23863,x23862,x23864,x23865,x23866)) % 159.04/158.77 [2387]~E(x23871,x23872)+E(f422(x23873,x23874,x23871,x23875,x23876),f422(x23873,x23874,x23872,x23875,x23876)) % 159.04/158.77 [2388]~E(x23881,x23882)+E(f422(x23883,x23884,x23885,x23881,x23886),f422(x23883,x23884,x23885,x23882,x23886)) % 159.04/158.77 [2389]~E(x23891,x23892)+E(f422(x23893,x23894,x23895,x23896,x23891),f422(x23893,x23894,x23895,x23896,x23892)) % 159.04/158.77 [2390]~E(x23901,x23902)+E(f763(x23901,x23903),f763(x23902,x23903)) % 159.04/158.77 [2391]~E(x23911,x23912)+E(f763(x23913,x23911),f763(x23913,x23912)) % 159.04/158.77 [2392]~E(x23921,x23922)+E(f272(x23921,x23923,x23924,x23925,x23926),f272(x23922,x23923,x23924,x23925,x23926)) % 159.04/158.77 [2393]~E(x23931,x23932)+E(f272(x23933,x23931,x23934,x23935,x23936),f272(x23933,x23932,x23934,x23935,x23936)) % 159.04/158.77 [2394]~E(x23941,x23942)+E(f272(x23943,x23944,x23941,x23945,x23946),f272(x23943,x23944,x23942,x23945,x23946)) % 159.04/158.77 [2395]~E(x23951,x23952)+E(f272(x23953,x23954,x23955,x23951,x23956),f272(x23953,x23954,x23955,x23952,x23956)) % 159.04/158.77 [2396]~E(x23961,x23962)+E(f272(x23963,x23964,x23965,x23966,x23961),f272(x23963,x23964,x23965,x23966,x23962)) % 159.04/158.77 [2397]~E(x23971,x23972)+E(f557(x23971,x23973,x23974,x23975),f557(x23972,x23973,x23974,x23975)) % 159.04/158.77 [2398]~E(x23981,x23982)+E(f557(x23983,x23981,x23984,x23985),f557(x23983,x23982,x23984,x23985)) % 159.04/158.77 [2399]~E(x23991,x23992)+E(f557(x23993,x23994,x23991,x23995),f557(x23993,x23994,x23992,x23995)) % 159.04/158.77 [2400]~E(x24001,x24002)+E(f557(x24003,x24004,x24005,x24001),f557(x24003,x24004,x24005,x24002)) % 159.04/158.77 [2401]~E(x24011,x24012)+E(f685(x24011,x24013),f685(x24012,x24013)) % 159.04/158.77 [2402]~E(x24021,x24022)+E(f685(x24023,x24021),f685(x24023,x24022)) % 159.04/158.77 [2403]~E(x24031,x24032)+E(f409(x24031,x24033,x24034,x24035),f409(x24032,x24033,x24034,x24035)) % 159.04/158.77 [2404]~E(x24041,x24042)+E(f409(x24043,x24041,x24044,x24045),f409(x24043,x24042,x24044,x24045)) % 159.04/158.77 [2405]~E(x24051,x24052)+E(f409(x24053,x24054,x24051,x24055),f409(x24053,x24054,x24052,x24055)) % 159.04/158.77 [2406]~E(x24061,x24062)+E(f409(x24063,x24064,x24065,x24061),f409(x24063,x24064,x24065,x24062)) % 159.04/158.77 [2407]~E(x24071,x24072)+E(f542(x24071,x24073,x24074,x24075,x24076),f542(x24072,x24073,x24074,x24075,x24076)) % 159.04/158.77 [2408]~E(x24081,x24082)+E(f542(x24083,x24081,x24084,x24085,x24086),f542(x24083,x24082,x24084,x24085,x24086)) % 159.04/158.77 [2409]~E(x24091,x24092)+E(f542(x24093,x24094,x24091,x24095,x24096),f542(x24093,x24094,x24092,x24095,x24096)) % 159.04/158.77 [2410]~E(x24101,x24102)+E(f542(x24103,x24104,x24105,x24101,x24106),f542(x24103,x24104,x24105,x24102,x24106)) % 159.04/158.77 [2411]~E(x24111,x24112)+E(f542(x24113,x24114,x24115,x24116,x24111),f542(x24113,x24114,x24115,x24116,x24112)) % 159.04/158.77 [2412]~E(x24121,x24122)+E(f508(x24121,x24123,x24124),f508(x24122,x24123,x24124)) % 159.04/158.77 [2413]~E(x24131,x24132)+E(f508(x24133,x24131,x24134),f508(x24133,x24132,x24134)) % 159.04/158.77 [2414]~E(x24141,x24142)+E(f508(x24143,x24144,x24141),f508(x24143,x24144,x24142)) % 159.04/158.77 [2415]~E(x24151,x24152)+E(f442(x24151,x24153,x24154),f442(x24152,x24153,x24154)) % 159.04/158.77 [2416]~E(x24161,x24162)+E(f442(x24163,x24161,x24164),f442(x24163,x24162,x24164)) % 159.04/158.77 [2417]~E(x24171,x24172)+E(f442(x24173,x24174,x24171),f442(x24173,x24174,x24172)) % 159.04/158.77 [2418]~E(x24181,x24182)+E(f550(x24181,x24183),f550(x24182,x24183)) % 159.04/158.77 [2419]~E(x24191,x24192)+E(f550(x24193,x24191),f550(x24193,x24192)) % 159.04/158.77 [2420]~E(x24201,x24202)+E(f561(x24201,x24203,x24204,x24205,x24206),f561(x24202,x24203,x24204,x24205,x24206)) % 159.04/158.77 [2421]~E(x24211,x24212)+E(f561(x24213,x24211,x24214,x24215,x24216),f561(x24213,x24212,x24214,x24215,x24216)) % 159.04/158.77 [2422]~E(x24221,x24222)+E(f561(x24223,x24224,x24221,x24225,x24226),f561(x24223,x24224,x24222,x24225,x24226)) % 159.04/158.77 [2423]~E(x24231,x24232)+E(f561(x24233,x24234,x24235,x24231,x24236),f561(x24233,x24234,x24235,x24232,x24236)) % 159.04/158.77 [2424]~E(x24241,x24242)+E(f561(x24243,x24244,x24245,x24246,x24241),f561(x24243,x24244,x24245,x24246,x24242)) % 159.04/158.77 [2425]~E(x24251,x24252)+E(f631(x24251,x24253,x24254),f631(x24252,x24253,x24254)) % 159.04/158.77 [2426]~E(x24261,x24262)+E(f631(x24263,x24261,x24264),f631(x24263,x24262,x24264)) % 159.04/158.77 [2427]~E(x24271,x24272)+E(f631(x24273,x24274,x24271),f631(x24273,x24274,x24272)) % 159.04/158.77 [2428]~E(x24281,x24282)+E(f216(x24281,x24283,x24284,x24285,x24286,x24287,x24288),f216(x24282,x24283,x24284,x24285,x24286,x24287,x24288)) % 159.04/158.77 [2429]~E(x24291,x24292)+E(f216(x24293,x24291,x24294,x24295,x24296,x24297,x24298),f216(x24293,x24292,x24294,x24295,x24296,x24297,x24298)) % 159.04/158.77 [2430]~E(x24301,x24302)+E(f216(x24303,x24304,x24301,x24305,x24306,x24307,x24308),f216(x24303,x24304,x24302,x24305,x24306,x24307,x24308)) % 159.04/158.77 [2431]~E(x24311,x24312)+E(f216(x24313,x24314,x24315,x24311,x24316,x24317,x24318),f216(x24313,x24314,x24315,x24312,x24316,x24317,x24318)) % 159.04/158.77 [2432]~E(x24321,x24322)+E(f216(x24323,x24324,x24325,x24326,x24321,x24327,x24328),f216(x24323,x24324,x24325,x24326,x24322,x24327,x24328)) % 159.04/158.77 [2433]~E(x24331,x24332)+E(f216(x24333,x24334,x24335,x24336,x24337,x24331,x24338),f216(x24333,x24334,x24335,x24336,x24337,x24332,x24338)) % 159.04/158.77 [2434]~E(x24341,x24342)+E(f216(x24343,x24344,x24345,x24346,x24347,x24348,x24341),f216(x24343,x24344,x24345,x24346,x24347,x24348,x24342)) % 159.04/158.77 [2435]~E(x24351,x24352)+E(f341(x24351,x24353),f341(x24352,x24353)) % 159.04/158.77 [2436]~E(x24361,x24362)+E(f341(x24363,x24361),f341(x24363,x24362)) % 159.04/158.77 [2437]~E(x24371,x24372)+E(f785(x24371,x24373,x24374,x24375,x24376,x24377,x24378),f785(x24372,x24373,x24374,x24375,x24376,x24377,x24378)) % 159.04/158.77 [2438]~E(x24381,x24382)+E(f785(x24383,x24381,x24384,x24385,x24386,x24387,x24388),f785(x24383,x24382,x24384,x24385,x24386,x24387,x24388)) % 159.04/158.77 [2439]~E(x24391,x24392)+E(f785(x24393,x24394,x24391,x24395,x24396,x24397,x24398),f785(x24393,x24394,x24392,x24395,x24396,x24397,x24398)) % 159.04/158.77 [2440]~E(x24401,x24402)+E(f785(x24403,x24404,x24405,x24401,x24406,x24407,x24408),f785(x24403,x24404,x24405,x24402,x24406,x24407,x24408)) % 159.04/158.77 [2441]~E(x24411,x24412)+E(f785(x24413,x24414,x24415,x24416,x24411,x24417,x24418),f785(x24413,x24414,x24415,x24416,x24412,x24417,x24418)) % 159.04/158.77 [2442]~E(x24421,x24422)+E(f785(x24423,x24424,x24425,x24426,x24427,x24421,x24428),f785(x24423,x24424,x24425,x24426,x24427,x24422,x24428)) % 159.04/158.77 [2443]~E(x24431,x24432)+E(f785(x24433,x24434,x24435,x24436,x24437,x24438,x24431),f785(x24433,x24434,x24435,x24436,x24437,x24438,x24432)) % 159.04/158.77 [2444]~E(x24441,x24442)+E(f498(x24441,x24443,x24444,x24445),f498(x24442,x24443,x24444,x24445)) % 159.04/158.77 [2445]~E(x24451,x24452)+E(f498(x24453,x24451,x24454,x24455),f498(x24453,x24452,x24454,x24455)) % 159.04/158.77 [2446]~E(x24461,x24462)+E(f498(x24463,x24464,x24461,x24465),f498(x24463,x24464,x24462,x24465)) % 159.04/158.77 [2447]~E(x24471,x24472)+E(f498(x24473,x24474,x24475,x24471),f498(x24473,x24474,x24475,x24472)) % 159.04/158.77 [2448]~E(x24481,x24482)+E(f461(x24481,x24483,x24484),f461(x24482,x24483,x24484)) % 159.04/158.77 [2449]~E(x24491,x24492)+E(f461(x24493,x24491,x24494),f461(x24493,x24492,x24494)) % 159.04/158.77 [2450]~E(x24501,x24502)+E(f461(x24503,x24504,x24501),f461(x24503,x24504,x24502)) % 159.04/158.77 [2451]~E(x24511,x24512)+E(f574(x24511,x24513,x24514),f574(x24512,x24513,x24514)) % 159.04/158.77 [2452]~E(x24521,x24522)+E(f574(x24523,x24521,x24524),f574(x24523,x24522,x24524)) % 159.04/158.77 [2453]~E(x24531,x24532)+E(f574(x24533,x24534,x24531),f574(x24533,x24534,x24532)) % 159.04/158.77 [2454]~E(x24541,x24542)+E(f830(x24541,x24543,x24544,x24545),f830(x24542,x24543,x24544,x24545)) % 159.04/158.77 [2455]~E(x24551,x24552)+E(f830(x24553,x24551,x24554,x24555),f830(x24553,x24552,x24554,x24555)) % 159.04/158.77 [2456]~E(x24561,x24562)+E(f830(x24563,x24564,x24561,x24565),f830(x24563,x24564,x24562,x24565)) % 159.04/158.77 [2457]~E(x24571,x24572)+E(f830(x24573,x24574,x24575,x24571),f830(x24573,x24574,x24575,x24572)) % 159.04/158.77 [2458]~E(x24581,x24582)+E(f857(x24581,x24583,x24584),f857(x24582,x24583,x24584)) % 159.04/158.77 [2459]~E(x24591,x24592)+E(f857(x24593,x24591,x24594),f857(x24593,x24592,x24594)) % 159.04/158.77 [2460]~E(x24601,x24602)+E(f857(x24603,x24604,x24601),f857(x24603,x24604,x24602)) % 159.04/158.77 [2461]~E(x24611,x24612)+E(f424(x24611,x24613,x24614,x24615,x24616),f424(x24612,x24613,x24614,x24615,x24616)) % 159.04/158.77 [2462]~E(x24621,x24622)+E(f424(x24623,x24621,x24624,x24625,x24626),f424(x24623,x24622,x24624,x24625,x24626)) % 159.04/158.77 [2463]~E(x24631,x24632)+E(f424(x24633,x24634,x24631,x24635,x24636),f424(x24633,x24634,x24632,x24635,x24636)) % 159.04/158.77 [2464]~E(x24641,x24642)+E(f424(x24643,x24644,x24645,x24641,x24646),f424(x24643,x24644,x24645,x24642,x24646)) % 159.04/158.77 [2465]~E(x24651,x24652)+E(f424(x24653,x24654,x24655,x24656,x24651),f424(x24653,x24654,x24655,x24656,x24652)) % 159.04/158.77 [2466]~E(x24661,x24662)+E(f832(x24661,x24663,x24664),f832(x24662,x24663,x24664)) % 159.04/158.77 [2467]~E(x24671,x24672)+E(f832(x24673,x24671,x24674),f832(x24673,x24672,x24674)) % 159.04/158.77 [2468]~E(x24681,x24682)+E(f832(x24683,x24684,x24681),f832(x24683,x24684,x24682)) % 159.04/158.77 [2469]~E(x24691,x24692)+E(f499(x24691,x24693,x24694,x24695),f499(x24692,x24693,x24694,x24695)) % 159.04/158.77 [2470]~E(x24701,x24702)+E(f499(x24703,x24701,x24704,x24705),f499(x24703,x24702,x24704,x24705)) % 159.04/158.77 [2471]~E(x24711,x24712)+E(f499(x24713,x24714,x24711,x24715),f499(x24713,x24714,x24712,x24715)) % 159.04/158.77 [2472]~E(x24721,x24722)+E(f499(x24723,x24724,x24725,x24721),f499(x24723,x24724,x24725,x24722)) % 159.04/158.77 [2473]~E(x24731,x24732)+E(f609(x24731,x24733,x24734),f609(x24732,x24733,x24734)) % 159.04/158.77 [2474]~E(x24741,x24742)+E(f609(x24743,x24741,x24744),f609(x24743,x24742,x24744)) % 159.04/158.77 [2475]~E(x24751,x24752)+E(f609(x24753,x24754,x24751),f609(x24753,x24754,x24752)) % 159.04/158.77 [2476]~E(x24761,x24762)+E(f619(x24761,x24763,x24764,x24765,x24766),f619(x24762,x24763,x24764,x24765,x24766)) % 159.04/158.77 [2477]~E(x24771,x24772)+E(f619(x24773,x24771,x24774,x24775,x24776),f619(x24773,x24772,x24774,x24775,x24776)) % 159.04/158.77 [2478]~E(x24781,x24782)+E(f619(x24783,x24784,x24781,x24785,x24786),f619(x24783,x24784,x24782,x24785,x24786)) % 159.04/158.77 [2479]~E(x24791,x24792)+E(f619(x24793,x24794,x24795,x24791,x24796),f619(x24793,x24794,x24795,x24792,x24796)) % 159.04/158.77 [2480]~E(x24801,x24802)+E(f619(x24803,x24804,x24805,x24806,x24801),f619(x24803,x24804,x24805,x24806,x24802)) % 159.04/158.77 [2481]~E(x24811,x24812)+E(f661(x24811,x24813,x24814,x24815),f661(x24812,x24813,x24814,x24815)) % 159.04/158.77 [2482]~E(x24821,x24822)+E(f661(x24823,x24821,x24824,x24825),f661(x24823,x24822,x24824,x24825)) % 159.04/158.77 [2483]~E(x24831,x24832)+E(f661(x24833,x24834,x24831,x24835),f661(x24833,x24834,x24832,x24835)) % 159.04/158.77 [2484]~E(x24841,x24842)+E(f661(x24843,x24844,x24845,x24841),f661(x24843,x24844,x24845,x24842)) % 159.04/158.77 [2485]~E(x24851,x24852)+E(f181(x24851),f181(x24852)) % 159.04/158.77 [2486]~E(x24861,x24862)+E(f824(x24861,x24863,x24864,x24865),f824(x24862,x24863,x24864,x24865)) % 159.04/158.77 [2487]~E(x24871,x24872)+E(f824(x24873,x24871,x24874,x24875),f824(x24873,x24872,x24874,x24875)) % 159.04/158.77 [2488]~E(x24881,x24882)+E(f824(x24883,x24884,x24881,x24885),f824(x24883,x24884,x24882,x24885)) % 159.04/158.77 [2489]~E(x24891,x24892)+E(f824(x24893,x24894,x24895,x24891),f824(x24893,x24894,x24895,x24892)) % 159.04/158.77 [2490]~E(x24901,x24902)+E(f579(x24901,x24903,x24904,x24905,x24906),f579(x24902,x24903,x24904,x24905,x24906)) % 159.04/158.77 [2491]~E(x24911,x24912)+E(f579(x24913,x24911,x24914,x24915,x24916),f579(x24913,x24912,x24914,x24915,x24916)) % 159.04/158.77 [2492]~E(x24921,x24922)+E(f579(x24923,x24924,x24921,x24925,x24926),f579(x24923,x24924,x24922,x24925,x24926)) % 159.04/158.77 [2493]~E(x24931,x24932)+E(f579(x24933,x24934,x24935,x24931,x24936),f579(x24933,x24934,x24935,x24932,x24936)) % 159.04/158.77 [2494]~E(x24941,x24942)+E(f579(x24943,x24944,x24945,x24946,x24941),f579(x24943,x24944,x24945,x24946,x24942)) % 159.04/158.77 [2495]~E(x24951,x24952)+E(f398(x24951,x24953,x24954,x24955),f398(x24952,x24953,x24954,x24955)) % 159.04/158.77 [2496]~E(x24961,x24962)+E(f398(x24963,x24961,x24964,x24965),f398(x24963,x24962,x24964,x24965)) % 159.04/158.77 [2497]~E(x24971,x24972)+E(f398(x24973,x24974,x24971,x24975),f398(x24973,x24974,x24972,x24975)) % 159.04/158.77 [2498]~E(x24981,x24982)+E(f398(x24983,x24984,x24985,x24981),f398(x24983,x24984,x24985,x24982)) % 159.04/158.77 [2499]~E(x24991,x24992)+E(f866(x24991,x24993,x24994),f866(x24992,x24993,x24994)) % 159.04/158.77 [2500]~E(x25001,x25002)+E(f866(x25003,x25001,x25004),f866(x25003,x25002,x25004)) % 159.04/158.77 [2501]~E(x25011,x25012)+E(f866(x25013,x25014,x25011),f866(x25013,x25014,x25012)) % 159.04/158.77 [2502]~E(x25021,x25022)+E(f451(x25021,x25023,x25024),f451(x25022,x25023,x25024)) % 159.04/158.77 [2503]~E(x25031,x25032)+E(f451(x25033,x25031,x25034),f451(x25033,x25032,x25034)) % 159.04/158.77 [2504]~E(x25041,x25042)+E(f451(x25043,x25044,x25041),f451(x25043,x25044,x25042)) % 159.04/158.77 [2505]~E(x25051,x25052)+E(f393(x25051,x25053),f393(x25052,x25053)) % 159.04/158.77 [2506]~E(x25061,x25062)+E(f393(x25063,x25061),f393(x25063,x25062)) % 159.04/158.77 [2507]~E(x25071,x25072)+E(f292(x25071,x25073,x25074),f292(x25072,x25073,x25074)) % 159.04/158.77 [2508]~E(x25081,x25082)+E(f292(x25083,x25081,x25084),f292(x25083,x25082,x25084)) % 159.04/158.77 [2509]~E(x25091,x25092)+E(f292(x25093,x25094,x25091),f292(x25093,x25094,x25092)) % 159.04/158.77 [2510]~E(x25101,x25102)+E(f375(x25101,x25103),f375(x25102,x25103)) % 159.04/158.77 [2511]~E(x25111,x25112)+E(f375(x25113,x25111),f375(x25113,x25112)) % 159.04/158.77 [2512]~E(x25121,x25122)+E(f645(x25121,x25123,x25124),f645(x25122,x25123,x25124)) % 159.04/158.77 [2513]~E(x25131,x25132)+E(f645(x25133,x25131,x25134),f645(x25133,x25132,x25134)) % 159.04/158.77 [2514]~E(x25141,x25142)+E(f645(x25143,x25144,x25141),f645(x25143,x25144,x25142)) % 159.04/158.77 [2515]~E(x25151,x25152)+E(f621(x25151,x25153,x25154),f621(x25152,x25153,x25154)) % 159.04/158.77 [2516]~E(x25161,x25162)+E(f621(x25163,x25161,x25164),f621(x25163,x25162,x25164)) % 159.04/158.77 [2517]~E(x25171,x25172)+E(f621(x25173,x25174,x25171),f621(x25173,x25174,x25172)) % 159.04/158.77 [2518]~E(x25181,x25182)+E(f378(x25181,x25183,x25184,x25185),f378(x25182,x25183,x25184,x25185)) % 159.04/158.77 [2519]~E(x25191,x25192)+E(f378(x25193,x25191,x25194,x25195),f378(x25193,x25192,x25194,x25195)) % 159.04/158.77 [2520]~E(x25201,x25202)+E(f378(x25203,x25204,x25201,x25205),f378(x25203,x25204,x25202,x25205)) % 159.04/158.77 [2521]~E(x25211,x25212)+E(f378(x25213,x25214,x25215,x25211),f378(x25213,x25214,x25215,x25212)) % 159.04/158.77 [2522]~E(x25221,x25222)+E(f97(x25221,x25223,x25224),f97(x25222,x25223,x25224)) % 159.04/158.77 [2523]~E(x25231,x25232)+E(f97(x25233,x25231,x25234),f97(x25233,x25232,x25234)) % 159.04/158.77 [2524]~E(x25241,x25242)+E(f97(x25243,x25244,x25241),f97(x25243,x25244,x25242)) % 159.04/158.77 [2525]~E(x25251,x25252)+E(f716(x25251,x25253,x25254,x25255,x25256,x25257),f716(x25252,x25253,x25254,x25255,x25256,x25257)) % 159.04/158.77 [2526]~E(x25261,x25262)+E(f716(x25263,x25261,x25264,x25265,x25266,x25267),f716(x25263,x25262,x25264,x25265,x25266,x25267)) % 159.04/158.77 [2527]~E(x25271,x25272)+E(f716(x25273,x25274,x25271,x25275,x25276,x25277),f716(x25273,x25274,x25272,x25275,x25276,x25277)) % 159.04/158.77 [2528]~E(x25281,x25282)+E(f716(x25283,x25284,x25285,x25281,x25286,x25287),f716(x25283,x25284,x25285,x25282,x25286,x25287)) % 159.04/158.77 [2529]~E(x25291,x25292)+E(f716(x25293,x25294,x25295,x25296,x25291,x25297),f716(x25293,x25294,x25295,x25296,x25292,x25297)) % 159.04/158.77 [2530]~E(x25301,x25302)+E(f716(x25303,x25304,x25305,x25306,x25307,x25301),f716(x25303,x25304,x25305,x25306,x25307,x25302)) % 159.04/158.77 [2531]~E(x25311,x25312)+E(f420(x25311,x25313,x25314,x25315),f420(x25312,x25313,x25314,x25315)) % 159.04/158.77 [2532]~E(x25321,x25322)+E(f420(x25323,x25321,x25324,x25325),f420(x25323,x25322,x25324,x25325)) % 159.04/158.77 [2533]~E(x25331,x25332)+E(f420(x25333,x25334,x25331,x25335),f420(x25333,x25334,x25332,x25335)) % 159.04/158.77 [2534]~E(x25341,x25342)+E(f420(x25343,x25344,x25345,x25341),f420(x25343,x25344,x25345,x25342)) % 159.04/158.77 [2535]~E(x25351,x25352)+E(f415(x25351),f415(x25352)) % 159.04/158.77 [2536]~E(x25361,x25362)+E(f490(x25361,x25363,x25364,x25365,x25366),f490(x25362,x25363,x25364,x25365,x25366)) % 159.04/158.77 [2537]~E(x25371,x25372)+E(f490(x25373,x25371,x25374,x25375,x25376),f490(x25373,x25372,x25374,x25375,x25376)) % 159.04/158.77 [2538]~E(x25381,x25382)+E(f490(x25383,x25384,x25381,x25385,x25386),f490(x25383,x25384,x25382,x25385,x25386)) % 159.04/158.77 [2539]~E(x25391,x25392)+E(f490(x25393,x25394,x25395,x25391,x25396),f490(x25393,x25394,x25395,x25392,x25396)) % 159.04/158.77 [2540]~E(x25401,x25402)+E(f490(x25403,x25404,x25405,x25406,x25401),f490(x25403,x25404,x25405,x25406,x25402)) % 159.04/158.77 [2541]~E(x25411,x25412)+E(f520(x25411,x25413),f520(x25412,x25413)) % 159.04/158.77 [2542]~E(x25421,x25422)+E(f520(x25423,x25421),f520(x25423,x25422)) % 159.04/158.77 [2543]~E(x25431,x25432)+E(f313(x25431,x25433,x25434),f313(x25432,x25433,x25434)) % 159.04/158.77 [2544]~E(x25441,x25442)+E(f313(x25443,x25441,x25444),f313(x25443,x25442,x25444)) % 159.04/158.77 [2545]~E(x25451,x25452)+E(f313(x25453,x25454,x25451),f313(x25453,x25454,x25452)) % 159.04/158.77 [2546]~E(x25461,x25462)+E(f430(x25461,x25463,x25464,x25465,x25466),f430(x25462,x25463,x25464,x25465,x25466)) % 159.04/158.77 [2547]~E(x25471,x25472)+E(f430(x25473,x25471,x25474,x25475,x25476),f430(x25473,x25472,x25474,x25475,x25476)) % 159.04/158.77 [2548]~E(x25481,x25482)+E(f430(x25483,x25484,x25481,x25485,x25486),f430(x25483,x25484,x25482,x25485,x25486)) % 159.04/158.77 [2549]~E(x25491,x25492)+E(f430(x25493,x25494,x25495,x25491,x25496),f430(x25493,x25494,x25495,x25492,x25496)) % 159.04/158.77 [2550]~E(x25501,x25502)+E(f430(x25503,x25504,x25505,x25506,x25501),f430(x25503,x25504,x25505,x25506,x25502)) % 159.04/158.77 [2551]~E(x25511,x25512)+E(f608(x25511,x25513,x25514),f608(x25512,x25513,x25514)) % 159.04/158.77 [2552]~E(x25521,x25522)+E(f608(x25523,x25521,x25524),f608(x25523,x25522,x25524)) % 159.04/158.77 [2553]~E(x25531,x25532)+E(f608(x25533,x25534,x25531),f608(x25533,x25534,x25532)) % 159.04/158.77 [2554]~E(x25541,x25542)+E(f129(x25541),f129(x25542)) % 159.04/158.77 [2555]~E(x25551,x25552)+E(f343(x25551,x25553,x25554,x25555,x25556),f343(x25552,x25553,x25554,x25555,x25556)) % 159.04/158.77 [2556]~E(x25561,x25562)+E(f343(x25563,x25561,x25564,x25565,x25566),f343(x25563,x25562,x25564,x25565,x25566)) % 159.04/158.77 [2557]~E(x25571,x25572)+E(f343(x25573,x25574,x25571,x25575,x25576),f343(x25573,x25574,x25572,x25575,x25576)) % 159.04/158.77 [2558]~E(x25581,x25582)+E(f343(x25583,x25584,x25585,x25581,x25586),f343(x25583,x25584,x25585,x25582,x25586)) % 159.04/158.77 [2559]~E(x25591,x25592)+E(f343(x25593,x25594,x25595,x25596,x25591),f343(x25593,x25594,x25595,x25596,x25592)) % 159.04/158.77 [2560]~E(x25601,x25602)+E(f273(x25601,x25603,x25604,x25605,x25606),f273(x25602,x25603,x25604,x25605,x25606)) % 159.04/158.77 [2561]~E(x25611,x25612)+E(f273(x25613,x25611,x25614,x25615,x25616),f273(x25613,x25612,x25614,x25615,x25616)) % 159.04/158.77 [2562]~E(x25621,x25622)+E(f273(x25623,x25624,x25621,x25625,x25626),f273(x25623,x25624,x25622,x25625,x25626)) % 159.04/158.77 [2563]~E(x25631,x25632)+E(f273(x25633,x25634,x25635,x25631,x25636),f273(x25633,x25634,x25635,x25632,x25636)) % 159.04/158.77 [2564]~E(x25641,x25642)+E(f273(x25643,x25644,x25645,x25646,x25641),f273(x25643,x25644,x25645,x25646,x25642)) % 159.04/158.77 [2565]~E(x25651,x25652)+E(f382(x25651,x25653,x25654,x25655,x25656),f382(x25652,x25653,x25654,x25655,x25656)) % 159.04/158.77 [2566]~E(x25661,x25662)+E(f382(x25663,x25661,x25664,x25665,x25666),f382(x25663,x25662,x25664,x25665,x25666)) % 159.04/158.77 [2567]~E(x25671,x25672)+E(f382(x25673,x25674,x25671,x25675,x25676),f382(x25673,x25674,x25672,x25675,x25676)) % 159.04/158.77 [2568]~E(x25681,x25682)+E(f382(x25683,x25684,x25685,x25681,x25686),f382(x25683,x25684,x25685,x25682,x25686)) % 159.04/158.77 [2569]~E(x25691,x25692)+E(f382(x25693,x25694,x25695,x25696,x25691),f382(x25693,x25694,x25695,x25696,x25692)) % 159.04/158.77 [2570]~E(x25701,x25702)+E(f433(x25701,x25703),f433(x25702,x25703)) % 159.04/158.77 [2571]~E(x25711,x25712)+E(f433(x25713,x25711),f433(x25713,x25712)) % 159.04/158.77 [2572]~E(x25721,x25722)+E(f230(x25721,x25723,x25724),f230(x25722,x25723,x25724)) % 159.04/158.77 [2573]~E(x25731,x25732)+E(f230(x25733,x25731,x25734),f230(x25733,x25732,x25734)) % 159.04/158.77 [2574]~E(x25741,x25742)+E(f230(x25743,x25744,x25741),f230(x25743,x25744,x25742)) % 159.04/158.77 [2575]~E(x25751,x25752)+E(f694(x25751,x25753,x25754,x25755),f694(x25752,x25753,x25754,x25755)) % 159.04/158.77 [2576]~E(x25761,x25762)+E(f694(x25763,x25761,x25764,x25765),f694(x25763,x25762,x25764,x25765)) % 159.04/158.77 [2577]~E(x25771,x25772)+E(f694(x25773,x25774,x25771,x25775),f694(x25773,x25774,x25772,x25775)) % 159.04/158.77 [2578]~E(x25781,x25782)+E(f694(x25783,x25784,x25785,x25781),f694(x25783,x25784,x25785,x25782)) % 159.04/158.77 [2579]~E(x25791,x25792)+E(f852(x25791),f852(x25792)) % 159.04/158.77 [2580]~E(x25801,x25802)+E(f454(x25801,x25803),f454(x25802,x25803)) % 159.04/158.77 [2581]~E(x25811,x25812)+E(f454(x25813,x25811),f454(x25813,x25812)) % 159.04/158.77 [2582]~E(x25821,x25822)+E(f340(x25821),f340(x25822)) % 159.04/158.77 [2583]~E(x25831,x25832)+E(f862(x25831),f862(x25832)) % 159.04/158.77 [2584]~E(x25841,x25842)+E(f487(x25841,x25843,x25844,x25845,x25846),f487(x25842,x25843,x25844,x25845,x25846)) % 159.04/158.77 [2585]~E(x25851,x25852)+E(f487(x25853,x25851,x25854,x25855,x25856),f487(x25853,x25852,x25854,x25855,x25856)) % 159.04/158.77 [2586]~E(x25861,x25862)+E(f487(x25863,x25864,x25861,x25865,x25866),f487(x25863,x25864,x25862,x25865,x25866)) % 159.04/158.77 [2587]~E(x25871,x25872)+E(f487(x25873,x25874,x25875,x25871,x25876),f487(x25873,x25874,x25875,x25872,x25876)) % 159.04/158.77 [2588]~E(x25881,x25882)+E(f487(x25883,x25884,x25885,x25886,x25881),f487(x25883,x25884,x25885,x25886,x25882)) % 159.04/158.77 [2589]~E(x25891,x25892)+E(f752(x25891,x25893,x25894),f752(x25892,x25893,x25894)) % 159.04/158.77 [2590]~E(x25901,x25902)+E(f752(x25903,x25901,x25904),f752(x25903,x25902,x25904)) % 159.04/158.77 [2591]~E(x25911,x25912)+E(f752(x25913,x25914,x25911),f752(x25913,x25914,x25912)) % 159.04/158.77 [2592]~E(x25921,x25922)+E(f835(x25921,x25923),f835(x25922,x25923)) % 159.04/158.77 [2593]~E(x25931,x25932)+E(f835(x25933,x25931),f835(x25933,x25932)) % 159.04/158.77 [2594]~E(x25941,x25942)+E(f359(x25941,x25943),f359(x25942,x25943)) % 159.04/158.77 [2595]~E(x25951,x25952)+E(f359(x25953,x25951),f359(x25953,x25952)) % 159.04/158.77 [2596]~E(x25961,x25962)+E(f622(x25961,x25963,x25964),f622(x25962,x25963,x25964)) % 159.04/158.77 [2597]~E(x25971,x25972)+E(f622(x25973,x25971,x25974),f622(x25973,x25972,x25974)) % 159.04/158.77 [2598]~E(x25981,x25982)+E(f622(x25983,x25984,x25981),f622(x25983,x25984,x25982)) % 159.04/158.77 [2599]~E(x25991,x25992)+E(f695(x25991,x25993,x25994,x25995),f695(x25992,x25993,x25994,x25995)) % 159.04/158.77 [2600]~E(x26001,x26002)+E(f695(x26003,x26001,x26004,x26005),f695(x26003,x26002,x26004,x26005)) % 159.04/158.77 [2601]~E(x26011,x26012)+E(f695(x26013,x26014,x26011,x26015),f695(x26013,x26014,x26012,x26015)) % 159.04/158.77 [2602]~E(x26021,x26022)+E(f695(x26023,x26024,x26025,x26021),f695(x26023,x26024,x26025,x26022)) % 159.04/158.77 [2603]~E(x26031,x26032)+E(f219(x26031,x26033,x26034,x26035),f219(x26032,x26033,x26034,x26035)) % 159.04/158.77 [2604]~E(x26041,x26042)+E(f219(x26043,x26041,x26044,x26045),f219(x26043,x26042,x26044,x26045)) % 159.04/158.77 [2605]~E(x26051,x26052)+E(f219(x26053,x26054,x26051,x26055),f219(x26053,x26054,x26052,x26055)) % 159.04/158.77 [2606]~E(x26061,x26062)+E(f219(x26063,x26064,x26065,x26061),f219(x26063,x26064,x26065,x26062)) % 159.04/158.77 [2607]~E(x26071,x26072)+E(f828(x26071,x26073,x26074,x26075),f828(x26072,x26073,x26074,x26075)) % 159.04/158.77 [2608]~E(x26081,x26082)+E(f828(x26083,x26081,x26084,x26085),f828(x26083,x26082,x26084,x26085)) % 159.04/158.77 [2609]~E(x26091,x26092)+E(f828(x26093,x26094,x26091,x26095),f828(x26093,x26094,x26092,x26095)) % 159.04/158.77 [2610]~E(x26101,x26102)+E(f828(x26103,x26104,x26105,x26101),f828(x26103,x26104,x26105,x26102)) % 159.04/158.77 [2611]~E(x26111,x26112)+E(f371(x26111),f371(x26112)) % 159.04/158.77 [2612]~E(x26121,x26122)+E(f455(x26121,x26123),f455(x26122,x26123)) % 159.04/158.77 [2613]~E(x26131,x26132)+E(f455(x26133,x26131),f455(x26133,x26132)) % 159.04/158.77 [2614]~E(x26141,x26142)+E(f215(x26141,x26143,x26144,x26145),f215(x26142,x26143,x26144,x26145)) % 159.04/158.77 [2615]~E(x26151,x26152)+E(f215(x26153,x26151,x26154,x26155),f215(x26153,x26152,x26154,x26155)) % 159.04/158.77 [2616]~E(x26161,x26162)+E(f215(x26163,x26164,x26161,x26165),f215(x26163,x26164,x26162,x26165)) % 159.04/158.77 [2617]~E(x26171,x26172)+E(f215(x26173,x26174,x26175,x26171),f215(x26173,x26174,x26175,x26172)) % 159.04/158.77 [2618]~P1(x26181)+P1(x26182)+~E(x26181,x26182) % 159.04/158.77 [2619]~P24(x26191)+P24(x26192)+~E(x26191,x26192) % 159.04/158.77 [2620]~P104(x26201)+P104(x26202)+~E(x26201,x26202) % 159.04/158.77 [2621]P20(x26212,x26213,x26214)+~E(x26211,x26212)+~P20(x26211,x26213,x26214) % 159.04/158.77 [2622]P20(x26223,x26222,x26224)+~E(x26221,x26222)+~P20(x26223,x26221,x26224) % 159.04/158.77 [2623]P20(x26233,x26234,x26232)+~E(x26231,x26232)+~P20(x26233,x26234,x26231) % 159.04/158.77 [2624]~P25(x26241)+P25(x26242)+~E(x26241,x26242) % 159.04/158.77 [2625]~P77(x26251)+P77(x26252)+~E(x26251,x26252) % 159.04/158.77 [2626]~P105(x26261)+P105(x26262)+~E(x26261,x26262) % 159.04/158.77 [2627]P30(x26272,x26273)+~E(x26271,x26272)+~P30(x26271,x26273) % 159.04/158.77 [2628]P30(x26283,x26282)+~E(x26281,x26282)+~P30(x26283,x26281) % 159.04/158.77 [2629]~P107(x26291)+P107(x26292)+~E(x26291,x26292) % 159.04/158.77 [2630]~P124(x26301)+P124(x26302)+~E(x26301,x26302) % 159.04/158.77 [2631]~P106(x26311)+P106(x26312)+~E(x26311,x26312) % 159.04/158.77 [2632]P31(x26322,x26323,x26324)+~E(x26321,x26322)+~P31(x26321,x26323,x26324) % 159.04/158.77 [2633]P31(x26333,x26332,x26334)+~E(x26331,x26332)+~P31(x26333,x26331,x26334) % 159.04/158.77 [2634]P31(x26343,x26344,x26342)+~E(x26341,x26342)+~P31(x26343,x26344,x26341) % 159.04/158.77 [2635]P23(x26352,x26353,x26354)+~E(x26351,x26352)+~P23(x26351,x26353,x26354) % 159.04/158.77 [2636]P23(x26363,x26362,x26364)+~E(x26361,x26362)+~P23(x26363,x26361,x26364) % 159.04/158.77 [2637]P23(x26373,x26374,x26372)+~E(x26371,x26372)+~P23(x26373,x26374,x26371) % 159.04/158.77 [2638]~P75(x26381)+P75(x26382)+~E(x26381,x26382) % 159.04/158.77 [2639]~P61(x26391)+P61(x26392)+~E(x26391,x26392) % 159.04/158.77 [2640]~P62(x26401)+P62(x26402)+~E(x26401,x26402) % 159.04/158.77 [2641]~P122(x26411)+P122(x26412)+~E(x26411,x26412) % 159.04/158.77 [2642]~P108(x26421)+P108(x26422)+~E(x26421,x26422) % 159.04/158.77 [2643]P49(x26432,x26433,x26434)+~E(x26431,x26432)+~P49(x26431,x26433,x26434) % 159.04/158.77 [2644]P49(x26443,x26442,x26444)+~E(x26441,x26442)+~P49(x26443,x26441,x26444) % 159.04/158.77 [2645]P49(x26453,x26454,x26452)+~E(x26451,x26452)+~P49(x26453,x26454,x26451) % 159.04/158.77 [2646]~P95(x26461)+P95(x26462)+~E(x26461,x26462) % 159.04/158.77 [2647]~P28(x26471)+P28(x26472)+~E(x26471,x26472) % 159.04/158.77 [2648]~P63(x26481)+P63(x26482)+~E(x26481,x26482) % 159.04/158.77 [2649]~P119(x26491)+P119(x26492)+~E(x26491,x26492) % 159.04/158.77 [2650]~P68(x26501)+P68(x26502)+~E(x26501,x26502) % 159.04/158.77 [2651]P145(x26512,x26513,x26514)+~E(x26511,x26512)+~P145(x26511,x26513,x26514) % 159.04/158.77 [2652]P145(x26523,x26522,x26524)+~E(x26521,x26522)+~P145(x26523,x26521,x26524) % 159.04/158.77 [2653]P145(x26533,x26534,x26532)+~E(x26531,x26532)+~P145(x26533,x26534,x26531) % 159.04/158.77 [2654]P21(x26542,x26543,x26544,x26545)+~E(x26541,x26542)+~P21(x26541,x26543,x26544,x26545) % 159.04/158.77 [2655]P21(x26553,x26552,x26554,x26555)+~E(x26551,x26552)+~P21(x26553,x26551,x26554,x26555) % 159.04/158.77 [2656]P21(x26563,x26564,x26562,x26565)+~E(x26561,x26562)+~P21(x26563,x26564,x26561,x26565) % 159.04/158.77 [2657]P21(x26573,x26574,x26575,x26572)+~E(x26571,x26572)+~P21(x26573,x26574,x26575,x26571) % 159.04/158.77 [2658]~P92(x26581)+P92(x26582)+~E(x26581,x26582) % 159.04/158.77 [2659]~P93(x26591)+P93(x26592)+~E(x26591,x26592) % 159.04/158.77 [2660]~P99(x26601)+P99(x26602)+~E(x26601,x26602) % 159.04/158.77 [2661]P9(x26612,x26613,x26614,x26615)+~E(x26611,x26612)+~P9(x26611,x26613,x26614,x26615) % 159.04/158.77 [2662]P9(x26623,x26622,x26624,x26625)+~E(x26621,x26622)+~P9(x26623,x26621,x26624,x26625) % 159.04/158.77 [2663]P9(x26633,x26634,x26632,x26635)+~E(x26631,x26632)+~P9(x26633,x26634,x26631,x26635) % 159.04/158.77 [2664]P9(x26643,x26644,x26645,x26642)+~E(x26641,x26642)+~P9(x26643,x26644,x26645,x26641) % 159.04/158.77 [2665]P37(x26652,x26653,x26654)+~E(x26651,x26652)+~P37(x26651,x26653,x26654) % 159.04/158.77 [2666]P37(x26663,x26662,x26664)+~E(x26661,x26662)+~P37(x26663,x26661,x26664) % 159.04/158.77 [2667]P37(x26673,x26674,x26672)+~E(x26671,x26672)+~P37(x26673,x26674,x26671) % 159.04/158.77 [2668]~P76(x26681)+P76(x26682)+~E(x26681,x26682) % 159.04/158.77 [2669]P12(x26692,x26693,x26694)+~E(x26691,x26692)+~P12(x26691,x26693,x26694) % 159.04/158.77 [2670]P12(x26703,x26702,x26704)+~E(x26701,x26702)+~P12(x26703,x26701,x26704) % 159.04/158.77 [2671]P12(x26713,x26714,x26712)+~E(x26711,x26712)+~P12(x26713,x26714,x26711) % 159.04/158.77 [2672]~P64(x26721)+P64(x26722)+~E(x26721,x26722) % 159.04/158.77 [2673]~P65(x26731)+P65(x26732)+~E(x26731,x26732) % 159.04/158.77 [2674]~P100(x26741)+P100(x26742)+~E(x26741,x26742) % 159.04/158.77 [2675]~P114(x26751)+P114(x26752)+~E(x26751,x26752) % 159.04/158.77 [2676]~P94(x26761)+P94(x26762)+~E(x26761,x26762) % 159.04/158.77 [2677]~P81(x26771)+P81(x26772)+~E(x26771,x26772) % 159.04/158.77 [2678]~P82(x26781)+P82(x26782)+~E(x26781,x26782) % 159.04/158.77 [2679]~P86(x26791)+P86(x26792)+~E(x26791,x26792) % 159.04/158.77 [2680]~P97(x26801)+P97(x26802)+~E(x26801,x26802) % 159.04/158.77 [2681]P146(x26812,x26813,x26814)+~E(x26811,x26812)+~P146(x26811,x26813,x26814) % 159.04/158.77 [2682]P146(x26823,x26822,x26824)+~E(x26821,x26822)+~P146(x26823,x26821,x26824) % 159.04/158.77 [2683]P146(x26833,x26834,x26832)+~E(x26831,x26832)+~P146(x26833,x26834,x26831) % 159.04/158.77 [2684]~P83(x26841)+P83(x26842)+~E(x26841,x26842) % 159.04/158.77 [2685]~P66(x26851)+P66(x26852)+~E(x26851,x26852) % 159.04/158.77 [2686]P33(x26862,x26863,x26864)+~E(x26861,x26862)+~P33(x26861,x26863,x26864) % 159.04/158.77 [2687]P33(x26873,x26872,x26874)+~E(x26871,x26872)+~P33(x26873,x26871,x26874) % 159.04/158.77 [2688]P33(x26883,x26884,x26882)+~E(x26881,x26882)+~P33(x26883,x26884,x26881) % 159.04/158.77 [2689]~P69(x26891)+P69(x26892)+~E(x26891,x26892) % 159.04/158.77 [2690]~P109(x26901)+P109(x26902)+~E(x26901,x26902) % 159.04/158.77 [2691]~P98(x26911)+P98(x26912)+~E(x26911,x26912) % 159.04/158.77 [2692]~P110(x26921)+P110(x26922)+~E(x26921,x26922) % 159.04/158.77 [2693]~P118(x26931)+P118(x26932)+~E(x26931,x26932) % 159.04/158.77 [2694]~P58(x26941)+P58(x26942)+~E(x26941,x26942) % 159.04/158.77 [2695]~P59(x26951)+P59(x26952)+~E(x26951,x26952) % 159.04/158.77 [2696]~P138(x26961)+P138(x26962)+~E(x26961,x26962) % 159.04/158.77 [2697]P15(x26972,x26973,x26974,x26975)+~E(x26971,x26972)+~P15(x26971,x26973,x26974,x26975) % 159.04/158.77 [2698]P15(x26983,x26982,x26984,x26985)+~E(x26981,x26982)+~P15(x26983,x26981,x26984,x26985) % 159.04/158.77 [2699]P15(x26993,x26994,x26992,x26995)+~E(x26991,x26992)+~P15(x26993,x26994,x26991,x26995) % 159.04/158.77 [2700]P15(x27003,x27004,x27005,x27002)+~E(x27001,x27002)+~P15(x27003,x27004,x27005,x27001) % 159.04/158.77 [2701]P3(x27012,x27013,x27014)+~E(x27011,x27012)+~P3(x27011,x27013,x27014) % 159.04/158.77 [2702]P3(x27023,x27022,x27024)+~E(x27021,x27022)+~P3(x27023,x27021,x27024) % 159.04/158.77 [2703]P3(x27033,x27034,x27032)+~E(x27031,x27032)+~P3(x27033,x27034,x27031) % 159.04/158.77 [2704]~P41(x27041)+P41(x27042)+~E(x27041,x27042) % 159.04/158.77 [2705]P36(x27052,x27053,x27054,x27055,x27056)+~E(x27051,x27052)+~P36(x27051,x27053,x27054,x27055,x27056) % 159.04/158.77 [2706]P36(x27063,x27062,x27064,x27065,x27066)+~E(x27061,x27062)+~P36(x27063,x27061,x27064,x27065,x27066) % 159.04/158.77 [2707]P36(x27073,x27074,x27072,x27075,x27076)+~E(x27071,x27072)+~P36(x27073,x27074,x27071,x27075,x27076) % 159.04/158.77 [2708]P36(x27083,x27084,x27085,x27082,x27086)+~E(x27081,x27082)+~P36(x27083,x27084,x27085,x27081,x27086) % 159.04/158.77 [2709]P36(x27093,x27094,x27095,x27096,x27092)+~E(x27091,x27092)+~P36(x27093,x27094,x27095,x27096,x27091) % 159.04/158.77 [2710]~P78(x27101)+P78(x27102)+~E(x27101,x27102) % 159.04/158.77 [2711]P53(x27112,x27113,x27114)+~E(x27111,x27112)+~P53(x27111,x27113,x27114) % 159.04/158.77 [2712]P53(x27123,x27122,x27124)+~E(x27121,x27122)+~P53(x27123,x27121,x27124) % 159.04/158.77 [2713]P53(x27133,x27134,x27132)+~E(x27131,x27132)+~P53(x27133,x27134,x27131) % 159.04/158.77 [2714]P17(x27142,x27143,x27144,x27145,x27146)+~E(x27141,x27142)+~P17(x27141,x27143,x27144,x27145,x27146) % 159.04/158.77 [2715]P17(x27153,x27152,x27154,x27155,x27156)+~E(x27151,x27152)+~P17(x27153,x27151,x27154,x27155,x27156) % 159.04/158.77 [2716]P17(x27163,x27164,x27162,x27165,x27166)+~E(x27161,x27162)+~P17(x27163,x27164,x27161,x27165,x27166) % 159.04/158.77 [2717]P17(x27173,x27174,x27175,x27172,x27176)+~E(x27171,x27172)+~P17(x27173,x27174,x27175,x27171,x27176) % 159.04/158.77 [2718]P17(x27183,x27184,x27185,x27186,x27182)+~E(x27181,x27182)+~P17(x27183,x27184,x27185,x27186,x27181) % 159.04/158.77 [2719]~P79(x27191)+P79(x27192)+~E(x27191,x27192) % 159.04/158.77 [2720]~P26(x27201)+P26(x27202)+~E(x27201,x27202) % 159.04/158.77 [2721]P39(x27212,x27213)+~E(x27211,x27212)+~P39(x27211,x27213) % 159.04/158.77 [2722]P39(x27223,x27222)+~E(x27221,x27222)+~P39(x27223,x27221) % 159.04/158.77 [2723]~P136(x27231)+P136(x27232)+~E(x27231,x27232) % 159.04/158.77 [2724]P8(x27242,x27243,x27244)+~E(x27241,x27242)+~P8(x27241,x27243,x27244) % 159.04/158.77 [2725]P8(x27253,x27252,x27254)+~E(x27251,x27252)+~P8(x27253,x27251,x27254) % 159.04/158.77 [2726]P8(x27263,x27264,x27262)+~E(x27261,x27262)+~P8(x27263,x27264,x27261) % 159.04/158.77 [2727]~P88(x27271)+P88(x27272)+~E(x27271,x27272) % 159.04/158.77 [2728]P48(x27282,x27283,x27284)+~E(x27281,x27282)+~P48(x27281,x27283,x27284) % 159.04/158.77 [2729]P48(x27293,x27292,x27294)+~E(x27291,x27292)+~P48(x27293,x27291,x27294) % 159.04/158.77 [2730]P48(x27303,x27304,x27302)+~E(x27301,x27302)+~P48(x27303,x27304,x27301) % 159.04/158.77 [2731]P44(x27312,x27313)+~E(x27311,x27312)+~P44(x27311,x27313) % 159.04/158.77 [2732]P44(x27323,x27322)+~E(x27321,x27322)+~P44(x27323,x27321) % 159.04/158.77 [2733]P16(x27332,x27333,x27334,x27335)+~E(x27331,x27332)+~P16(x27331,x27333,x27334,x27335) % 159.04/158.77 [2734]P16(x27343,x27342,x27344,x27345)+~E(x27341,x27342)+~P16(x27343,x27341,x27344,x27345) % 159.04/158.77 [2735]P16(x27353,x27354,x27352,x27355)+~E(x27351,x27352)+~P16(x27353,x27354,x27351,x27355) % 159.04/158.77 [2736]P16(x27363,x27364,x27365,x27362)+~E(x27361,x27362)+~P16(x27363,x27364,x27365,x27361) % 159.04/158.77 [2737]~P137(x27371)+P137(x27372)+~E(x27371,x27372) % 159.04/158.77 [2738]~P111(x27381)+P111(x27382)+~E(x27381,x27382) % 159.04/158.77 [2739]P57(x27392,x27393)+~E(x27391,x27392)+~P57(x27391,x27393) % 159.04/158.77 [2740]P57(x27403,x27402)+~E(x27401,x27402)+~P57(x27403,x27401) % 159.04/158.77 [2741]~P60(x27411)+P60(x27412)+~E(x27411,x27412) % 159.04/158.77 [2742]~P141(x27421)+P141(x27422)+~E(x27421,x27422) % 159.04/158.77 [2743]~P87(x27431)+P87(x27432)+~E(x27431,x27432) % 159.04/158.77 [2744]P43(x27442,x27443,x27444,x27445,x27446,x27447)+~E(x27441,x27442)+~P43(x27441,x27443,x27444,x27445,x27446,x27447) % 159.04/158.77 [2745]P43(x27453,x27452,x27454,x27455,x27456,x27457)+~E(x27451,x27452)+~P43(x27453,x27451,x27454,x27455,x27456,x27457) % 159.04/158.77 [2746]P43(x27463,x27464,x27462,x27465,x27466,x27467)+~E(x27461,x27462)+~P43(x27463,x27464,x27461,x27465,x27466,x27467) % 159.04/158.77 [2747]P43(x27473,x27474,x27475,x27472,x27476,x27477)+~E(x27471,x27472)+~P43(x27473,x27474,x27475,x27471,x27476,x27477) % 159.04/158.77 [2748]P43(x27483,x27484,x27485,x27486,x27482,x27487)+~E(x27481,x27482)+~P43(x27483,x27484,x27485,x27486,x27481,x27487) % 159.04/158.77 [2749]P43(x27493,x27494,x27495,x27496,x27497,x27492)+~E(x27491,x27492)+~P43(x27493,x27494,x27495,x27496,x27497,x27491) % 159.04/158.77 [2750]P52(x27502,x27503,x27504)+~E(x27501,x27502)+~P52(x27501,x27503,x27504) % 159.04/158.77 [2751]P52(x27513,x27512,x27514)+~E(x27511,x27512)+~P52(x27513,x27511,x27514) % 159.04/158.77 [2752]P52(x27523,x27524,x27522)+~E(x27521,x27522)+~P52(x27523,x27524,x27521) % 159.04/158.77 [2753]~P67(x27531)+P67(x27532)+~E(x27531,x27532) % 159.04/158.77 [2754]P22(x27542,x27543)+~E(x27541,x27542)+~P22(x27541,x27543) % 159.04/158.77 [2755]P22(x27553,x27552)+~E(x27551,x27552)+~P22(x27553,x27551) % 159.04/158.77 [2756]P34(x27562,x27563,x27564,x27565)+~E(x27561,x27562)+~P34(x27561,x27563,x27564,x27565) % 159.04/158.77 [2757]P34(x27573,x27572,x27574,x27575)+~E(x27571,x27572)+~P34(x27573,x27571,x27574,x27575) % 159.04/158.77 [2758]P34(x27583,x27584,x27582,x27585)+~E(x27581,x27582)+~P34(x27583,x27584,x27581,x27585) % 159.04/158.77 [2759]P34(x27593,x27594,x27595,x27592)+~E(x27591,x27592)+~P34(x27593,x27594,x27595,x27591) % 159.04/158.77 [2760]~P70(x27601)+P70(x27602)+~E(x27601,x27602) % 159.04/158.77 [2761]~P116(x27611)+P116(x27612)+~E(x27611,x27612) % 159.04/158.77 [2762]~P132(x27621)+P132(x27622)+~E(x27621,x27622) % 159.04/158.77 [2763]~P71(x27631)+P71(x27632)+~E(x27631,x27632) % 159.04/158.77 [2764]~P84(x27641)+P84(x27642)+~E(x27641,x27642) % 159.04/158.77 [2765]P55(x27652,x27653)+~E(x27651,x27652)+~P55(x27651,x27653) % 159.04/158.77 [2766]P55(x27663,x27662)+~E(x27661,x27662)+~P55(x27663,x27661) % 159.04/158.77 [2767]~P130(x27671)+P130(x27672)+~E(x27671,x27672) % 159.04/158.77 [2768]P11(x27682,x27683,x27684)+~E(x27681,x27682)+~P11(x27681,x27683,x27684) % 159.04/158.77 [2769]P11(x27693,x27692,x27694)+~E(x27691,x27692)+~P11(x27693,x27691,x27694) % 159.04/158.77 [2770]P11(x27703,x27704,x27702)+~E(x27701,x27702)+~P11(x27703,x27704,x27701) % 159.04/158.77 [2771]~P73(x27711)+P73(x27712)+~E(x27711,x27712) % 159.04/158.77 [2772]~P143(x27721)+P143(x27722)+~E(x27721,x27722) % 159.04/158.77 [2773]P32(x27732,x27733)+~E(x27731,x27732)+~P32(x27731,x27733) % 159.04/158.77 [2774]P32(x27743,x27742)+~E(x27741,x27742)+~P32(x27743,x27741) % 159.04/158.77 [2775]~P85(x27751)+P85(x27752)+~E(x27751,x27752) % 159.04/158.77 [2776]P2(x27762,x27763)+~E(x27761,x27762)+~P2(x27761,x27763) % 159.04/158.77 [2777]P2(x27773,x27772)+~E(x27771,x27772)+~P2(x27773,x27771) % 159.04/158.77 [2778]P35(x27782,x27783,x27784)+~E(x27781,x27782)+~P35(x27781,x27783,x27784) % 159.04/158.77 [2779]P35(x27793,x27792,x27794)+~E(x27791,x27792)+~P35(x27793,x27791,x27794) % 159.04/158.77 [2780]P35(x27803,x27804,x27802)+~E(x27801,x27802)+~P35(x27803,x27804,x27801) % 159.04/158.77 [2781]~P115(x27811)+P115(x27812)+~E(x27811,x27812) % 159.04/158.77 [2782]~P29(x27821)+P29(x27822)+~E(x27821,x27822) % 159.04/158.77 [2783]P6(x27832,x27833,x27834,x27835,x27836)+~E(x27831,x27832)+~P6(x27831,x27833,x27834,x27835,x27836) % 159.04/158.77 [2784]P6(x27843,x27842,x27844,x27845,x27846)+~E(x27841,x27842)+~P6(x27843,x27841,x27844,x27845,x27846) % 159.04/158.77 [2785]P6(x27853,x27854,x27852,x27855,x27856)+~E(x27851,x27852)+~P6(x27853,x27854,x27851,x27855,x27856) % 159.04/158.77 [2786]P6(x27863,x27864,x27865,x27862,x27866)+~E(x27861,x27862)+~P6(x27863,x27864,x27865,x27861,x27866) % 159.04/158.77 [2787]P6(x27873,x27874,x27875,x27876,x27872)+~E(x27871,x27872)+~P6(x27873,x27874,x27875,x27876,x27871) % 159.04/158.77 [2788]~P139(x27881)+P139(x27882)+~E(x27881,x27882) % 159.04/158.77 [2789]~P127(x27891)+P127(x27892)+~E(x27891,x27892) % 159.04/158.77 [2790]P56(x27902,x27903,x27904,x27905)+~E(x27901,x27902)+~P56(x27901,x27903,x27904,x27905) % 159.04/158.77 [2791]P56(x27913,x27912,x27914,x27915)+~E(x27911,x27912)+~P56(x27913,x27911,x27914,x27915) % 159.04/158.77 [2792]P56(x27923,x27924,x27922,x27925)+~E(x27921,x27922)+~P56(x27923,x27924,x27921,x27925) % 159.04/158.77 [2793]P56(x27933,x27934,x27935,x27932)+~E(x27931,x27932)+~P56(x27933,x27934,x27935,x27931) % 159.04/158.77 [2794]~P125(x27941)+P125(x27942)+~E(x27941,x27942) % 159.04/158.77 [2795]~P126(x27951)+P126(x27952)+~E(x27951,x27952) % 159.04/158.77 [2796]~P90(x27961)+P90(x27962)+~E(x27961,x27962) % 159.04/158.77 [2797]~P131(x27971)+P131(x27972)+~E(x27971,x27972) % 159.04/158.77 [2798]P19(x27982,x27983,x27984,x27985,x27986,x27987)+~E(x27981,x27982)+~P19(x27981,x27983,x27984,x27985,x27986,x27987) % 159.04/158.77 [2799]P19(x27993,x27992,x27994,x27995,x27996,x27997)+~E(x27991,x27992)+~P19(x27993,x27991,x27994,x27995,x27996,x27997) % 159.04/158.77 [2800]P19(x28003,x28004,x28002,x28005,x28006,x28007)+~E(x28001,x28002)+~P19(x28003,x28004,x28001,x28005,x28006,x28007) % 159.04/158.77 [2801]P19(x28013,x28014,x28015,x28012,x28016,x28017)+~E(x28011,x28012)+~P19(x28013,x28014,x28015,x28011,x28016,x28017) % 159.04/158.77 [2802]P19(x28023,x28024,x28025,x28026,x28022,x28027)+~E(x28021,x28022)+~P19(x28023,x28024,x28025,x28026,x28021,x28027) % 159.04/158.77 [2803]P19(x28033,x28034,x28035,x28036,x28037,x28032)+~E(x28031,x28032)+~P19(x28033,x28034,x28035,x28036,x28037,x28031) % 159.04/158.77 [2804]~P129(x28041)+P129(x28042)+~E(x28041,x28042) % 159.04/158.77 [2805]~P117(x28051)+P117(x28052)+~E(x28051,x28052) % 159.04/158.77 [2806]~P113(x28061)+P113(x28062)+~E(x28061,x28062) % 159.04/158.77 [2807]~P80(x28071)+P80(x28072)+~E(x28071,x28072) % 159.04/158.77 [2808]~P142(x28081)+P142(x28082)+~E(x28081,x28082) % 159.04/158.77 [2809]~P91(x28091)+P91(x28092)+~E(x28091,x28092) % 159.04/158.77 [2810]P50(x28102,x28103)+~E(x28101,x28102)+~P50(x28101,x28103) % 159.04/158.77 [2811]P50(x28113,x28112)+~E(x28111,x28112)+~P50(x28113,x28111) % 159.04/158.77 [2812]~P140(x28121)+P140(x28122)+~E(x28121,x28122) % 159.04/158.77 [2813]~P4(x28131)+P4(x28132)+~E(x28131,x28132) % 159.04/158.77 [2814]~P144(x28141)+P144(x28142)+~E(x28141,x28142) % 159.04/158.77 [2815]P10(x28152,x28153,x28154,x28155,x28156,x28157)+~E(x28151,x28152)+~P10(x28151,x28153,x28154,x28155,x28156,x28157) % 159.04/158.77 [2816]P10(x28163,x28162,x28164,x28165,x28166,x28167)+~E(x28161,x28162)+~P10(x28163,x28161,x28164,x28165,x28166,x28167) % 159.04/158.77 [2817]P10(x28173,x28174,x28172,x28175,x28176,x28177)+~E(x28171,x28172)+~P10(x28173,x28174,x28171,x28175,x28176,x28177) % 159.04/158.77 [2818]P10(x28183,x28184,x28185,x28182,x28186,x28187)+~E(x28181,x28182)+~P10(x28183,x28184,x28185,x28181,x28186,x28187) % 159.04/158.77 [2819]P10(x28193,x28194,x28195,x28196,x28192,x28197)+~E(x28191,x28192)+~P10(x28193,x28194,x28195,x28196,x28191,x28197) % 159.04/158.77 [2820]P10(x28203,x28204,x28205,x28206,x28207,x28202)+~E(x28201,x28202)+~P10(x28203,x28204,x28205,x28206,x28207,x28201) % 159.04/158.77 [2821]~P112(x28211)+P112(x28212)+~E(x28211,x28212) % 159.04/158.77 [2822]P14(x28222,x28223,x28224)+~E(x28221,x28222)+~P14(x28221,x28223,x28224) % 159.04/158.77 [2823]P14(x28233,x28232,x28234)+~E(x28231,x28232)+~P14(x28233,x28231,x28234) % 159.04/158.78 [2824]P14(x28243,x28244,x28242)+~E(x28241,x28242)+~P14(x28243,x28244,x28241) % 159.04/158.78 [2825]P40(x28252,x28253)+~E(x28251,x28252)+~P40(x28251,x28253) % 159.04/158.78 [2826]P40(x28263,x28262)+~E(x28261,x28262)+~P40(x28263,x28261) % 159.04/158.78 [2827]~P27(x28271)+P27(x28272)+~E(x28271,x28272) % 159.04/158.78 [2828]P5(x28282,x28283,x28284)+~E(x28281,x28282)+~P5(x28281,x28283,x28284) % 159.04/158.78 [2829]P5(x28293,x28292,x28294)+~E(x28291,x28292)+~P5(x28293,x28291,x28294) % 159.04/158.78 [2830]P5(x28303,x28304,x28302)+~E(x28301,x28302)+~P5(x28303,x28304,x28301) % 159.04/158.78 [2831]P54(x28312,x28313,x28314,x28315,x28316)+~E(x28311,x28312)+~P54(x28311,x28313,x28314,x28315,x28316) % 159.04/158.78 [2832]P54(x28323,x28322,x28324,x28325,x28326)+~E(x28321,x28322)+~P54(x28323,x28321,x28324,x28325,x28326) % 159.04/158.78 [2833]P54(x28333,x28334,x28332,x28335,x28336)+~E(x28331,x28332)+~P54(x28333,x28334,x28331,x28335,x28336) % 159.04/158.78 [2834]P54(x28343,x28344,x28345,x28342,x28346)+~E(x28341,x28342)+~P54(x28343,x28344,x28345,x28341,x28346) % 159.04/158.78 [2835]P54(x28353,x28354,x28355,x28356,x28352)+~E(x28351,x28352)+~P54(x28353,x28354,x28355,x28356,x28351) % 159.04/158.78 [2836]~P123(x28361)+P123(x28362)+~E(x28361,x28362) % 159.04/158.78 [2837]P13(x28372,x28373,x28374)+~E(x28371,x28372)+~P13(x28371,x28373,x28374) % 159.04/158.78 [2838]P13(x28383,x28382,x28384)+~E(x28381,x28382)+~P13(x28383,x28381,x28384) % 159.04/158.78 [2839]P13(x28393,x28394,x28392)+~E(x28391,x28392)+~P13(x28393,x28394,x28391) % 159.04/158.78 [2840]P18(x28402,x28403,x28404,x28405,x28406,x28407)+~E(x28401,x28402)+~P18(x28401,x28403,x28404,x28405,x28406,x28407) % 159.04/158.78 [2841]P18(x28413,x28412,x28414,x28415,x28416,x28417)+~E(x28411,x28412)+~P18(x28413,x28411,x28414,x28415,x28416,x28417) % 159.04/158.78 [2842]P18(x28423,x28424,x28422,x28425,x28426,x28427)+~E(x28421,x28422)+~P18(x28423,x28424,x28421,x28425,x28426,x28427) % 159.04/158.78 [2843]P18(x28433,x28434,x28435,x28432,x28436,x28437)+~E(x28431,x28432)+~P18(x28433,x28434,x28435,x28431,x28436,x28437) % 159.04/158.78 [2844]P18(x28443,x28444,x28445,x28446,x28442,x28447)+~E(x28441,x28442)+~P18(x28443,x28444,x28445,x28446,x28441,x28447) % 159.04/158.78 [2845]P18(x28453,x28454,x28455,x28456,x28457,x28452)+~E(x28451,x28452)+~P18(x28453,x28454,x28455,x28456,x28457,x28451) % 159.04/158.78 [2846]~P103(x28461)+P103(x28462)+~E(x28461,x28462) % 159.04/158.78 [2847]P7(x28472,x28473,x28474)+~E(x28471,x28472)+~P7(x28471,x28473,x28474) % 159.04/158.78 [2848]P7(x28483,x28482,x28484)+~E(x28481,x28482)+~P7(x28483,x28481,x28484) % 159.04/158.78 [2849]P7(x28493,x28494,x28492)+~E(x28491,x28492)+~P7(x28493,x28494,x28491) % 159.04/158.78 [2850]~P134(x28501)+P134(x28502)+~E(x28501,x28502) % 159.04/158.78 [2851]~P96(x28511)+P96(x28512)+~E(x28511,x28512) % 159.04/158.78 [2852]~P102(x28521)+P102(x28522)+~E(x28521,x28522) % 159.04/158.78 [2853]~P133(x28531)+P133(x28532)+~E(x28531,x28532) % 159.04/158.78 [2854]~P74(x28541)+P74(x28542)+~E(x28541,x28542) % 159.04/158.78 [2855]P51(x28552,x28553)+~E(x28551,x28552)+~P51(x28551,x28553) % 159.04/158.78 [2856]P51(x28563,x28562)+~E(x28561,x28562)+~P51(x28563,x28561) % 159.04/158.78 [2857]~P120(x28571)+P120(x28572)+~E(x28571,x28572) % 159.04/158.78 [2858]P46(x28582,x28583)+~E(x28581,x28582)+~P46(x28581,x28583) % 159.04/158.78 [2859]P46(x28593,x28592)+~E(x28591,x28592)+~P46(x28593,x28591) % 159.04/158.78 [2860]~P135(x28601)+P135(x28602)+~E(x28601,x28602) % 159.04/158.78 [2861]P42(x28612,x28613,x28614,x28615)+~E(x28611,x28612)+~P42(x28611,x28613,x28614,x28615) % 159.04/158.78 [2862]P42(x28623,x28622,x28624,x28625)+~E(x28621,x28622)+~P42(x28623,x28621,x28624,x28625) % 159.04/158.78 [2863]P42(x28633,x28634,x28632,x28635)+~E(x28631,x28632)+~P42(x28633,x28634,x28631,x28635) % 159.04/158.78 [2864]P42(x28643,x28644,x28645,x28642)+~E(x28641,x28642)+~P42(x28643,x28644,x28645,x28641) % 159.04/158.78 [2865]P47(x28652,x28653,x28654)+~E(x28651,x28652)+~P47(x28651,x28653,x28654) % 159.04/158.78 [2866]P47(x28663,x28662,x28664)+~E(x28661,x28662)+~P47(x28663,x28661,x28664) % 159.04/158.78 [2867]P47(x28673,x28674,x28672)+~E(x28671,x28672)+~P47(x28673,x28674,x28671) % 159.04/158.78 [2868]~P72(x28681)+P72(x28682)+~E(x28681,x28682) % 159.04/158.78 [2869]~P45(x28691)+P45(x28692)+~E(x28691,x28692) % 159.04/158.78 [2870]~P89(x28701)+P89(x28702)+~E(x28701,x28702) % 159.04/158.78 [2871]~P121(x28711)+P121(x28712)+~E(x28711,x28712) % 159.04/158.78 [2872]~P128(x28721)+P128(x28722)+~E(x28721,x28722) % 159.04/158.78 [2873]~P38(x28731)+P38(x28732)+~E(x28731,x28732) % 159.04/158.78 [2874]~P101(x28741)+P101(x28742)+~E(x28741,x28742) % 159.04/158.78 % 159.04/158.78 %------------------------------------------- % 159.04/158.80 cnf(10213,plain, % 159.04/158.80 (E(f331(f261(x102131,x102131),f262(x102131,x102132)),x102132)), % 159.04/158.80 inference(rename_variables,[],[3246])). % 159.04/158.80 cnf(10216,plain, % 159.04/158.80 (~E(f331(a116,x102161),x102161)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(10219,plain, % 159.04/158.80 (~E(f331(a116,x102191),x102191)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(10222,plain, % 159.04/158.80 (E(f331(f261(x102221,x102221),f262(x102221,x102222)),x102222)), % 159.04/158.80 inference(rename_variables,[],[3246])). % 159.04/158.80 cnf(10229,plain, % 159.04/158.80 (~E(f331(a116,x102291),x102291)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(10242,plain, % 159.04/158.80 (~E(f331(a116,x102421),x102421)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(10247,plain, % 159.04/158.80 (~P104(f331(f63(x102471,x102472,f194(f885(x102471,a871))),x102473))), % 159.04/158.80 inference(rename_variables,[],[4554])). % 159.04/158.80 cnf(10250,plain, % 159.04/158.80 (~P104(f331(f63(x102501,x102502,f194(f885(x102501,a871))),x102503))), % 159.04/158.80 inference(rename_variables,[],[4554])). % 159.04/158.80 cnf(10253,plain, % 159.04/158.80 (~E(f331(a116,x102531),x102531)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(10256,plain, % 159.04/158.80 (~E(f331(a116,x102561),x102561)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(10259,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x102591),f2(a876)))), % 159.04/158.80 inference(rename_variables,[],[4534])). % 159.04/158.80 cnf(10262,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x102621),f2(a876)))), % 159.04/158.80 inference(rename_variables,[],[4534])). % 159.04/158.80 cnf(10275,plain, % 159.04/158.80 (~P104(f331(f194(f885(x102751,a871)),x102752))), % 159.04/158.80 inference(scs_inference,[],[4468,10216,10219,10229,10242,10253,3075,3246,10213,3119,3181,3127,3272,4534,10259,4531,4488,4537,3263,4521,4554,10247,4558,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035])). % 159.04/158.80 cnf(10279,plain, % 159.04/158.80 (~P104(f331(f331(f244(a876),f331(a116,x102791)),x102791))), % 159.04/158.80 inference(rename_variables,[],[4539])). % 159.04/158.80 cnf(10282,plain, % 159.04/158.80 (~E(f331(f331(f150(x102821),x102822),x102823),x102823)), % 159.04/158.80 inference(rename_variables,[],[4494])). % 159.04/158.80 cnf(10288,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x102881),f2(a876)))), % 159.04/158.80 inference(rename_variables,[],[4534])). % 159.04/158.80 cnf(10290,plain, % 159.04/158.80 (E(f45(a876,f331(f261(x102901,x102901),f262(x102901,f331(f331(f81(a876),x102902),x102903))),x102902),f2(a876))), % 159.04/158.80 inference(scs_inference,[],[4468,10216,10219,10229,10242,10253,3075,3246,10213,10222,3119,3181,3148,3127,4494,3272,4534,10259,10262,4531,4488,4539,4537,3263,4521,4554,10247,4558,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062])). % 159.04/158.80 cnf(10291,plain, % 159.04/158.80 (E(f331(f261(x102911,x102911),f262(x102911,x102912)),x102912)), % 159.04/158.80 inference(rename_variables,[],[3246])). % 159.04/158.80 cnf(10294,plain, % 159.04/158.80 (E(f331(f261(x102941,x102941),f262(x102941,x102942)),x102942)), % 159.04/158.80 inference(rename_variables,[],[3246])). % 159.04/158.80 cnf(10301,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),f331(f331(f80(a876),x103011),x103012)),x103012))), % 159.04/158.80 inference(rename_variables,[],[4556])). % 159.04/158.80 cnf(10304,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),f331(f331(f80(a876),x103041),x103042)),x103042))), % 159.04/158.80 inference(rename_variables,[],[4556])). % 159.04/158.80 cnf(10311,plain, % 159.04/158.80 (~E(x103111,f331(a116,x103111))), % 159.04/158.80 inference(scs_inference,[],[4468,10216,10219,10229,10242,10253,3075,3246,10213,10222,10291,3119,3181,3148,3127,4494,3358,3272,4534,10259,10262,4531,4488,4539,4118,4537,3263,4521,4554,10247,4558,4556,10301,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176])). % 159.04/158.80 cnf(10325,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x103251),x103251))), % 159.04/158.80 inference(rename_variables,[],[4530])). % 159.04/158.80 cnf(10328,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),f45(a876,x103281,x103282)),x103281))), % 159.04/158.80 inference(rename_variables,[],[3747])). % 159.04/158.80 cnf(10349,plain, % 159.04/158.80 (E(f331(f38(a876),f331(f251(a876),x103491)),x103491)), % 159.04/158.80 inference(rename_variables,[],[3179])). % 159.04/158.80 cnf(10357,plain, % 159.04/158.80 (~E(f331(a116,x103571),x103571)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(10360,plain, % 159.04/158.80 (~E(f331(a116,x103601),x103601)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(10363,plain, % 159.04/158.80 (~E(f331(a116,x103631),x103631)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(10365,plain, % 159.04/158.80 (P104(f331(a200,a101))), % 159.04/158.80 inference(scs_inference,[],[4468,10216,10219,10229,10242,10253,10256,10357,10360,3075,3246,10213,10222,10291,3119,3181,3148,3127,3216,4494,3179,4563,3199,3358,3272,4534,10259,10262,3877,3293,4531,4488,4530,10325,3384,3809,3747,4539,10279,4118,4537,4520,3263,4521,4525,4554,10247,4558,4556,10301,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318])). % 159.04/158.80 cnf(10368,plain, % 159.04/158.80 (P104(f331(f331(f245(a876),x103681),f331(a116,x103681)))), % 159.04/158.80 inference(rename_variables,[],[3358])). % 159.04/158.80 cnf(10377,plain, % 159.04/158.80 (P104(f331(f331(f201(a24),x103771),x103771))), % 159.04/158.80 inference(rename_variables,[],[3289])). % 159.04/158.80 cnf(10384,plain, % 159.04/158.80 (E(f331(f261(x103841,x103841),f262(x103841,x103842)),x103842)), % 159.04/158.80 inference(rename_variables,[],[3246])). % 159.04/158.80 cnf(10387,plain, % 159.04/158.80 (E(f331(f261(x103871,x103871),f262(x103871,x103872)),x103872)), % 159.04/158.80 inference(rename_variables,[],[3246])). % 159.04/158.80 cnf(10406,plain, % 159.04/158.80 (P104(f331(f331(f244(a1),x104061),x104061))), % 159.04/158.80 inference(rename_variables,[],[3291])). % 159.04/158.80 cnf(10415,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x104151),x104151))), % 159.04/158.80 inference(rename_variables,[],[4530])). % 159.04/158.80 cnf(10420,plain, % 159.04/158.80 (~E(f331(f331(f331(f72(x104201,f880(x104202)),x104203),x104204),f331(f236(x104202),x104205)),f331(f16(f880(x104202),x104201),f197(x104202)))), % 159.04/158.80 inference(rename_variables,[],[4551])). % 159.04/158.80 cnf(10424,plain, % 159.04/158.80 (E(f331(f331(f80(a876),x104241),f860(x104241,x104241)),x104241)), % 159.04/158.80 inference(scs_inference,[],[4468,10216,10219,10229,10242,10253,10256,10357,10360,3075,3246,10213,10222,10291,10294,10384,3119,3181,3148,3127,3216,4551,4494,3179,4074,4563,3199,3358,10368,3272,4534,10259,10262,3729,3877,3320,3293,4531,4488,4027,3289,3290,3291,3292,4530,10325,3384,3809,3747,10328,4539,10279,4118,4537,4520,3263,4521,4525,4554,10247,4558,3769,4556,10301,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464])). % 159.04/158.80 cnf(10447,plain, % 159.04/158.80 (~E(f331(f331(f150(x104471),x104472),x104473),x104473)), % 159.04/158.80 inference(rename_variables,[],[4494])). % 159.04/158.80 cnf(10450,plain, % 159.04/158.80 (~E(f331(a28,x104501),f33(x104502,x104503))), % 159.04/158.80 inference(rename_variables,[],[4483])). % 159.04/158.80 cnf(10461,plain, % 159.04/158.80 (P104(f331(f331(f244(a1),x104611),x104611))), % 159.04/158.80 inference(rename_variables,[],[3291])). % 159.04/158.80 cnf(10466,plain, % 159.04/158.80 (~E(f331(a116,x104661),x104661)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(10473,plain, % 159.04/158.80 (P104(f331(f331(f201(a24),x104731),x104731))), % 159.04/158.80 inference(rename_variables,[],[3289])). % 159.04/158.80 cnf(10486,plain, % 159.04/158.80 (P104(f331(f331(f245(a876),x104861),f331(a116,x104861)))), % 159.04/158.80 inference(rename_variables,[],[3358])). % 159.04/158.80 cnf(10507,plain, % 159.04/158.80 (~P104(f331(f63(x105071,x105072,f194(f885(x105071,a871))),x105073))), % 159.04/158.80 inference(rename_variables,[],[4554])). % 159.04/158.80 cnf(10526,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x105261),x105261))), % 159.04/158.80 inference(rename_variables,[],[4530])). % 159.04/158.80 cnf(10538,plain, % 159.04/158.80 (E(f331(f331(f255(a876),f331(f107(a876),a101)),x105381),f331(f331(f255(a876),f2(a876)),x105381))), % 159.04/158.80 inference(scs_inference,[],[4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,4483,3075,3246,10213,10222,10291,10294,10384,3119,3181,3148,3127,3761,3216,4551,4494,10282,3179,4074,4563,3199,3653,3358,10368,10486,3272,4534,10259,10262,10288,4546,3729,3877,3318,3320,3293,4531,4488,4027,3289,10377,3290,3291,10406,3292,4530,10325,10415,3384,3809,3747,10328,4539,10279,4118,4537,4520,3263,3267,4522,4521,4525,4554,10247,10250,4558,3769,4556,10301,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826])). % 159.04/158.80 cnf(10541,plain, % 159.04/158.80 (~E(f331(a28,x105411),f33(x105412,x105413))), % 159.04/158.80 inference(rename_variables,[],[4483])). % 159.04/158.80 cnf(10547,plain, % 159.04/158.80 (P104(f331(f331(f245(a876),f2(a876)),f331(a108,f78(a1))))), % 159.04/158.80 inference(scs_inference,[],[4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,4483,10450,3075,3246,10213,10222,10291,10294,10384,3119,3181,3148,3127,3761,3216,4551,4494,10282,3179,4074,4563,3199,3653,3358,10368,10486,3272,4534,10259,10262,10288,4546,3729,3877,3318,3320,3293,4531,4488,4027,3289,10377,3290,3291,10406,3292,4530,10325,10415,3384,3809,3747,10328,4539,10279,4118,4537,4520,3263,3267,4522,4521,4525,4554,10247,10250,4558,3769,4556,10301,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886])). % 159.04/158.80 cnf(10550,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x105501),x105501))), % 159.04/158.80 inference(rename_variables,[],[4530])). % 159.04/158.80 cnf(10555,plain, % 159.04/158.80 (P104(f331(f331(f245(a876),x105551),f331(a116,x105551)))), % 159.04/158.80 inference(rename_variables,[],[3358])). % 159.04/158.80 cnf(10558,plain, % 159.04/158.80 (~P104(f331(f63(x105581,x105582,f194(f885(x105581,a871))),x105583))), % 159.04/158.80 inference(rename_variables,[],[4554])). % 159.04/158.80 cnf(10561,plain, % 159.04/158.80 (~P104(f331(f63(x105611,x105612,f194(f885(x105611,a871))),x105613))), % 159.04/158.80 inference(rename_variables,[],[4554])). % 159.04/158.80 cnf(10566,plain, % 159.04/158.80 (~P104(f331(f63(x105661,x105662,f194(f885(x105661,a871))),x105663))), % 159.04/158.80 inference(rename_variables,[],[4554])). % 159.04/158.80 cnf(10576,plain, % 159.04/158.80 (~E(f331(f168(x105761),f331(a116,f331(f331(f126(x105761),f331(f168(x105761),x105762)),f331(f331(f150(x105761),x105763),f117(x105761))))),f331(f331(f150(x105761),x105763),x105762))), % 159.04/158.80 inference(scs_inference,[],[4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,4483,10450,3075,3246,10213,10222,10291,10294,10384,3119,3181,3148,3127,3761,3216,4551,4494,10282,3179,4074,4563,3199,3653,3358,10368,10486,10555,3272,4534,10259,10262,10288,4546,3729,3877,3318,3320,3293,4531,4488,4027,3289,10377,3290,3291,10406,3292,4530,10325,10415,10526,3384,3809,3747,10328,4539,10279,4118,4537,4520,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,4558,3769,4556,10301,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003])). % 159.04/158.80 cnf(10577,plain, % 159.04/158.80 (~E(f331(a116,x105771),x105771)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(10595,plain, % 159.04/158.80 (P104(f331(f331(f245(a103),f331(a3,x105951)),f331(a3,f331(a116,x105951))))), % 159.04/158.80 inference(scs_inference,[],[4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,4483,10450,3075,3246,10213,10222,10291,10294,10384,3119,3181,3148,3127,3761,3216,4551,4494,10282,3179,4074,4563,3199,3653,3358,10368,10486,10555,3742,3272,4534,10259,10262,10288,4546,3729,3877,3318,3320,3293,4531,4488,4027,3289,10377,3290,3291,10406,3292,4530,10325,10415,10526,3384,3809,3747,10328,4539,10279,4118,4537,4520,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,4558,3769,4556,10301,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086])). % 159.04/158.80 cnf(10602,plain, % 159.04/158.80 (P104(f331(f331(f201(a24),x106021),x106021))), % 159.04/158.80 inference(rename_variables,[],[3289])). % 159.04/158.80 cnf(10605,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),x106051),f331(f331(f81(a876),x106051),x106051)))), % 159.04/158.80 inference(rename_variables,[],[3557])). % 159.04/158.80 cnf(10607,plain, % 159.04/158.80 (P104(f331(f331(f245(a876),x106071),f331(f331(f81(a876),f331(a116,x106071)),f331(a116,x106071))))), % 159.04/158.80 inference(scs_inference,[],[4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,4483,10450,3075,3246,10213,10222,10291,10294,10384,3119,3181,3148,3127,3761,3216,4551,4494,10282,3179,4074,4563,3199,3653,3358,10368,10486,10555,3742,3272,4534,10259,10262,10288,4546,3729,3877,3318,3320,3293,4531,4488,4027,3289,10377,10473,3290,3291,10406,3292,4530,10325,10415,10526,3384,3809,3747,10328,4539,10279,4118,4537,4520,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,3557,10605,4558,3769,4556,10301,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108])). % 159.04/158.80 cnf(10608,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),x106081),f331(f331(f81(a876),x106081),x106081)))), % 159.04/158.80 inference(rename_variables,[],[3557])). % 159.04/158.80 cnf(10611,plain, % 159.04/158.80 (P104(f331(f331(f245(a876),x106111),f331(a116,f331(f331(f80(a876),x106112),x106111))))), % 159.04/158.80 inference(rename_variables,[],[3740])). % 159.04/158.80 cnf(10616,plain, % 159.04/158.80 (P104(f331(f331(f245(a876),x106161),f331(a116,x106161)))), % 159.04/158.80 inference(rename_variables,[],[3358])). % 159.04/158.80 cnf(10619,plain, % 159.04/158.80 (P104(f331(f331(f245(a876),x106191),f331(a116,x106191)))), % 159.04/158.80 inference(rename_variables,[],[3358])). % 159.04/158.80 cnf(10622,plain, % 159.04/158.80 (P104(f331(f331(f333(x106221),x106222),f253(f885(x106221,a871))))), % 159.04/158.80 inference(rename_variables,[],[3447])). % 159.04/158.80 cnf(10637,plain, % 159.04/158.80 (~P104(f331(f331(f244(a876),f331(a116,x106371)),x106371))), % 159.04/158.80 inference(rename_variables,[],[4539])). % 159.04/158.80 cnf(10640,plain, % 159.04/158.80 (~P104(f331(f331(f244(a876),f331(a116,x106401)),x106401))), % 159.04/158.80 inference(rename_variables,[],[4539])). % 159.04/158.80 cnf(10643,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),f331(f331(f80(a876),x106431),x106432)),x106432))), % 159.04/158.80 inference(rename_variables,[],[4556])). % 159.04/158.80 cnf(10646,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),f331(f331(f80(a876),x106461),x106462)),x106462))), % 159.04/158.80 inference(rename_variables,[],[4556])). % 159.04/158.80 cnf(10649,plain, % 159.04/158.80 (P104(f331(f253(f885(x106491,a871)),x106492))), % 159.04/158.80 inference(rename_variables,[],[3352])). % 159.04/158.80 cnf(10652,plain, % 159.04/158.80 (E(f331(f38(a876),f331(f251(a876),x106521)),x106521)), % 159.04/158.80 inference(rename_variables,[],[3179])). % 159.04/158.80 cnf(10655,plain, % 159.04/158.80 (P104(f331(f331(f245(a876),x106551),f331(a116,x106551)))), % 159.04/158.80 inference(rename_variables,[],[3358])). % 159.04/158.80 cnf(10662,plain, % 159.04/158.80 (P104(f331(f331(f201(a24),x106621),x106621))), % 159.04/158.80 inference(rename_variables,[],[3289])). % 159.04/158.80 cnf(10667,plain, % 159.04/158.80 (P104(f331(f331(f244(a1),x106671),x106671))), % 159.04/158.80 inference(rename_variables,[],[3291])). % 159.04/158.80 cnf(10676,plain, % 159.04/158.80 (E(f331(f261(x106761,x106761),f262(x106761,x106762)),x106762)), % 159.04/158.80 inference(rename_variables,[],[3246])). % 159.04/158.80 cnf(10679,plain, % 159.04/158.80 (P104(f331(f253(f885(x106791,a871)),x106792))), % 159.04/158.80 inference(rename_variables,[],[3352])). % 159.04/158.80 cnf(10682,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),f2(a876)),x106821))), % 159.04/158.80 inference(rename_variables,[],[3312])). % 159.04/158.80 cnf(10685,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x106851,a871)),f194(f885(x106851,a871))),x106852))), % 159.04/158.80 inference(rename_variables,[],[3738])). % 159.04/158.80 cnf(10688,plain, % 159.04/158.80 (P104(f331(f253(f885(x106881,a871)),x106882))), % 159.04/158.80 inference(rename_variables,[],[3352])). % 159.04/158.80 cnf(10690,plain, % 159.04/158.80 (~P104(f331(f331(f244(a876),f331(f331(f81(a876),f331(a116,x106901)),f331(a116,x106901))),x106901))), % 159.04/158.80 inference(scs_inference,[],[4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,4483,10450,3075,3246,10213,10222,10291,10294,10384,10387,3119,3181,3148,3127,3761,3216,4551,4494,10282,3179,10349,4074,4563,3199,3653,3593,3358,10368,10486,10555,10616,10619,3742,3272,4534,10259,10262,10288,4546,3729,3501,3877,3318,3320,3293,4531,4488,4027,3289,10377,10473,10602,3290,3291,10406,10461,3292,4530,10325,10415,10526,3447,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,3312,4118,4537,4520,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,4561,3738,3557,10605,10608,4558,3769,4556,10301,10304,10643,3740,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319])). % 159.04/158.80 cnf(10691,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),x106911),f331(f331(f81(a876),x106911),x106911)))), % 159.04/158.80 inference(rename_variables,[],[3557])). % 159.04/158.80 cnf(10695,plain, % 159.04/158.80 (E(f331(f168(x106951),f173(x106952,f331(f331(f126(x106951),f331(f168(x106951),x106953)),f331(f331(f150(x106951),x106954),f117(x106951))),f117(x106952))),f331(f331(f150(x106951),x106954),x106953))), % 159.04/158.80 inference(scs_inference,[],[4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,4483,10450,3075,3246,10213,10222,10291,10294,10384,10387,3223,3119,3181,3148,3127,3761,3216,4551,4494,10282,3179,10349,4074,4563,3199,3653,3593,3358,10368,10486,10555,10616,10619,3742,3272,4534,10259,10262,10288,4546,3729,3501,3877,3318,3320,3293,4531,4488,4027,3289,10377,10473,10602,3290,3291,10406,10461,3292,4530,10325,10415,10526,3447,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,3312,4118,4537,4520,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,4561,3738,3557,10605,10608,4558,3769,4556,10301,10304,10643,3740,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358])). % 159.04/158.80 cnf(10696,plain, % 159.04/158.80 (E(f173(x106961,x106962,f117(x106961)),x106962)), % 159.04/158.80 inference(rename_variables,[],[3223])). % 159.04/158.80 cnf(10700,plain, % 159.04/158.80 (~P104(f331(f331(f244(a876),f331(a116,f331(a116,f331(f331(f80(a876),x107001),x107002)))),f331(a116,x107002)))), % 159.04/158.80 inference(scs_inference,[],[4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,4483,10450,3075,3246,10213,10222,10291,10294,10384,10387,3223,3119,3181,3148,3127,3761,3216,4551,4494,10282,3179,10349,4074,4563,3199,3653,3593,3358,10368,10486,10555,10616,10619,10655,3742,3272,4534,10259,10262,10288,4546,3729,3501,3877,3318,3320,3293,4531,4488,4027,3289,10377,10473,10602,3290,3291,10406,10461,3292,4530,10325,10415,10526,3447,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,3312,4118,4537,4520,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,4561,3738,3557,10605,10608,4558,3769,4556,10301,10304,10643,3740,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361])). % 159.04/158.80 cnf(10708,plain, % 159.04/158.80 (~P104(f331(f331(f245(a103),f331(a3,x107081)),f331(a3,f2(a876))))), % 159.04/158.80 inference(scs_inference,[],[4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,4483,10450,3075,3246,10213,10222,10291,10294,10384,10387,3223,3119,3181,3148,3127,3761,3216,4551,4494,10282,3179,10349,4074,4563,3199,3653,3593,3358,10368,10486,10555,10616,10619,10655,3742,3272,4534,10259,10262,10288,4546,3729,3501,3877,3318,3320,3293,4531,4488,4027,3289,10377,10473,10602,3290,3291,10406,10461,3292,4530,10325,10415,10526,3447,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,3312,4118,4537,4520,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,4561,3738,3557,10605,10608,4558,3769,4556,10301,10304,10643,3740,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366])). % 159.04/158.80 cnf(10731,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),x107311),x107311))), % 159.04/158.80 inference(rename_variables,[],[3290])). % 159.04/158.80 cnf(10742,plain, % 159.04/158.80 (~P104(f331(f331(f194(f885(x107421,f885(x107422,a871))),x107423),x107424))), % 159.04/158.80 inference(rename_variables,[],[4559])). % 159.04/158.80 cnf(10749,plain, % 159.04/158.80 (P104(f331(f331(f245(a876),x107491),f331(a116,x107491)))), % 159.04/158.80 inference(rename_variables,[],[3358])). % 159.04/158.80 cnf(10751,plain, % 159.04/158.80 (P104(f331(f331(f245(a1),f331(f331(f22(a1),x107511),f78(a1))),x107511))), % 159.04/158.80 inference(scs_inference,[],[4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,4483,10450,3075,3246,10213,10222,10291,10294,10384,10387,3223,3119,3181,3148,3127,3761,3216,4551,4494,10282,3179,10349,4074,3929,4563,3199,3653,3593,3358,10368,10486,10555,10616,10619,10655,3742,3272,4534,10259,10262,10288,4546,3729,3501,3877,3318,3320,3293,4531,4488,4027,3289,10377,10473,10602,3290,10731,3291,10406,10461,10667,3292,4530,10325,10415,10526,3447,4542,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,3312,4118,4537,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,4561,3738,3557,10605,10608,4558,4559,3769,4556,10301,10304,10643,3740,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622])). % 159.04/158.80 cnf(10752,plain, % 159.04/158.80 (P104(f331(f331(f244(a1),x107521),x107521))), % 159.04/158.80 inference(rename_variables,[],[3291])). % 159.04/158.80 cnf(10757,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x107571),f2(a876)))), % 159.04/158.80 inference(rename_variables,[],[4534])). % 159.04/158.80 cnf(10770,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x107701),f2(a876)))), % 159.04/158.80 inference(rename_variables,[],[4534])). % 159.04/158.80 cnf(10773,plain, % 159.04/158.80 (~P104(f331(f331(f245(f885(x107731,a871)),x107732),f194(f885(x107731,a871))))), % 159.04/158.80 inference(rename_variables,[],[4552])). % 159.04/158.80 cnf(10776,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),x107761),x107761))), % 159.04/158.80 inference(rename_variables,[],[3290])). % 159.04/158.80 cnf(10779,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),x107791),x107791))), % 159.04/158.80 inference(rename_variables,[],[3290])). % 159.04/158.80 cnf(10793,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x107931),f331(f331(f22(a876),x107931),x107932)))), % 159.04/158.80 inference(scs_inference,[],[4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,4483,10450,3075,3246,10213,10222,10291,10294,10384,10387,3223,3119,3181,3148,3127,3761,3216,4551,4494,10282,3179,10349,4074,3929,4563,3199,3653,3593,3358,10368,10486,10555,10616,10619,10655,3742,3272,4534,10259,10262,10288,10757,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,4027,4552,3289,10377,10473,10602,3290,10731,10776,10779,3291,10406,10461,10667,3292,4530,10325,10415,10526,10550,3447,4542,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,3312,4118,4537,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,4561,3738,3557,10605,10608,4558,4559,3769,4556,10301,10304,10643,3740,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785])). % 159.04/158.80 cnf(10794,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x107941),x107941))), % 159.04/158.80 inference(rename_variables,[],[4530])). % 159.04/158.80 cnf(10803,plain, % 159.04/158.80 (~P104(f331(f331(f333(x108031),x108032),f194(f885(x108031,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(10812,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),x108121),x108121))), % 159.04/158.80 inference(rename_variables,[],[3290])). % 159.04/158.80 cnf(10815,plain, % 159.04/158.80 (~P104(f331(f331(f333(x108151),x108152),f194(f885(x108151,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(10818,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x108181,a871)),f331(f309(x108182,x108181,x108183),f331(f310(x108182,x108181,x108183),x108184))),x108184))), % 159.04/158.80 inference(rename_variables,[],[4179])). % 159.04/158.80 cnf(10825,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x108251,a871)),f331(f172(x108251),f331(f135(x108251,x108252),x108253))),f331(f172(x108251),x108253)))), % 159.04/158.80 inference(rename_variables,[],[3939])). % 159.04/158.80 cnf(10828,plain, % 159.04/158.80 (E(f331(f309(x108281,x108281,f5(x108281)),x108282),x108282)), % 159.04/158.80 inference(rename_variables,[],[3348])). % 159.04/158.80 cnf(10835,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),f2(a876)),x108351))), % 159.04/158.80 inference(rename_variables,[],[3312])). % 159.04/158.80 cnf(10838,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),x108381),x108381))), % 159.04/158.80 inference(rename_variables,[],[3290])). % 159.04/158.80 cnf(10841,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x108411),x108411))), % 159.04/158.80 inference(rename_variables,[],[4530])). % 159.04/158.80 cnf(10844,plain, % 159.04/158.80 (~P104(f331(f331(f194(f885(x108441,f885(x108442,a871))),x108443),x108444))), % 159.04/158.80 inference(rename_variables,[],[4559])). % 159.04/158.80 cnf(10851,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x108511),x108511))), % 159.04/158.80 inference(rename_variables,[],[4530])). % 159.04/158.80 cnf(10862,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),x108621),f331(f331(f81(a876),x108621),x108621)))), % 159.04/158.80 inference(rename_variables,[],[3557])). % 159.04/158.80 cnf(10868,plain, % 159.04/158.80 (P104(f331(f331(f245(a876),x108681),f331(a116,f331(f331(f80(a876),x108682),x108681))))), % 159.04/158.80 inference(rename_variables,[],[3740])). % 159.04/158.80 cnf(10875,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),x108751),x108751))), % 159.04/158.80 inference(rename_variables,[],[3290])). % 159.04/158.80 cnf(10878,plain, % 159.04/158.80 (P104(f331(f331(f244(a1),x108781),x108781))), % 159.04/158.80 inference(rename_variables,[],[3291])). % 159.04/158.80 cnf(10881,plain, % 159.04/158.80 (~E(f331(a116,x108811),x108811)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(10886,plain, % 159.04/158.80 (P104(f331(f331(f333(x108861),x108862),f253(f885(x108861,a871))))), % 159.04/158.80 inference(rename_variables,[],[3447])). % 159.04/158.80 cnf(10891,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x108911),f2(a876)))), % 159.04/158.80 inference(rename_variables,[],[4534])). % 159.04/158.80 cnf(10893,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x108931,a871)),x108932),f40(f885(x108931,a871),f331(f307(x108931),x108932))))), % 159.04/158.80 inference(scs_inference,[],[4566,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,4483,10450,3075,3246,10213,10222,10291,10294,10384,10387,3223,3119,3181,3148,3127,3761,3348,3216,4551,4494,10282,3179,10349,4074,3929,4563,3199,3492,3653,3593,3358,10368,10486,10555,10616,10619,10655,10749,3742,3272,4534,10259,10262,10288,10757,10770,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3654,4027,4552,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,4542,10803,10815,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,3312,10682,4118,4537,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,4561,3738,3557,10605,10608,10691,10862,4558,4559,10742,4179,3769,4556,10301,10304,10643,3740,10611,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496])). % 159.04/158.80 cnf(10906,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),f2(a876)),x109061))), % 159.04/158.80 inference(rename_variables,[],[3312])). % 159.04/158.80 cnf(10913,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),x109131),x109131))), % 159.04/158.80 inference(rename_variables,[],[3290])). % 159.04/158.80 cnf(10922,plain, % 159.04/158.80 (~P104(f331(f331(f333(x109221),x109222),f194(f885(x109221,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(10924,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x109241,a871)),f41(f885(x109241,a871),f331(f307(x109241),x109242))),x109242))), % 159.04/158.80 inference(scs_inference,[],[4566,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,4483,10450,3075,3246,10213,10222,10291,10294,10384,10387,3223,3119,3181,3148,3127,3761,3348,3216,4551,4494,10282,3179,10349,4074,3929,4563,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,3742,3272,4534,10259,10262,10288,10757,10770,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3654,4027,4552,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,4542,10803,10815,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,4561,3738,3557,10605,10608,10691,10862,4558,4559,10742,4179,3769,4556,10301,10304,10643,3740,10611,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770])). % 159.04/158.80 cnf(10926,plain, % 159.04/158.80 (E(f331(f331(f105(f885(x109261,a871)),f331(f331(f105(f885(x109261,a871)),x109262),f331(f79(f885(x109261,a871)),x109263))),x109263),f194(f885(x109261,a871)))), % 159.04/158.80 inference(scs_inference,[],[4566,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,4483,10450,3075,3246,10213,10222,10291,10294,10384,10387,3223,3119,3181,3148,3127,3761,3348,3216,4551,4494,10282,3179,10349,4074,3929,4563,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,3742,3272,4534,10259,10262,10288,10757,10770,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3654,4027,4552,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,4542,10803,10815,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,4561,3738,3557,10605,10608,10691,10862,4558,4559,10742,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772])). % 159.04/158.80 cnf(10929,plain, % 159.04/158.80 (P104(f331(f331(f333(f877(x109291)),x109292),f160(x109291,f253(f885(x109291,a871)))))), % 159.04/158.80 inference(scs_inference,[],[4566,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,4483,10450,3075,3246,10213,10222,10291,10294,10384,10387,3223,3119,3181,3148,3127,3761,3348,3216,4551,4494,10282,3179,10349,4074,3929,4563,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,3742,3272,4534,10259,10262,10288,10757,10770,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3654,4027,4552,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,4542,10803,10815,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,4561,3738,3557,10605,10608,10691,10862,4558,4559,10742,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780])). % 159.04/158.80 cnf(10930,plain, % 159.04/158.80 (P104(f331(f331(f333(x109301),x109302),f253(f885(x109301,a871))))), % 159.04/158.80 inference(rename_variables,[],[3447])). % 159.04/158.80 cnf(10933,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(f877(x109331),f877(x109331))),f331(f331(f265(f877(x109331),f877(x109331)),x109332),f117(x109331))),f146(x109331,x109333)))), % 159.04/158.80 inference(rename_variables,[],[4563])). % 159.04/158.80 cnf(10939,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(x109391,x109391)),x109392),f262(x109391,f194(f885(x109391,a871)))))), % 159.04/158.80 inference(scs_inference,[],[4566,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,4483,10450,3075,3246,10213,10222,10291,10294,10384,10387,3223,3119,3181,3148,3127,3761,3348,3216,4551,4494,10282,3179,10349,4074,3929,4563,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,3742,3272,4534,10259,10262,10288,10757,10770,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3654,4027,4552,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,4542,10803,10815,10922,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,4561,3738,3557,10605,10608,10691,10862,4558,4559,10742,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911])). % 159.04/158.80 cnf(10940,plain, % 159.04/158.80 (~P104(f331(f331(f333(x109401),x109402),f194(f885(x109401,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(10942,plain, % 159.04/158.80 (~P104(f331(f331(f333(x109421),x109422),f331(f310(x109421,x109423,x109424),f194(f885(x109423,a871)))))), % 159.04/158.80 inference(scs_inference,[],[4566,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,4483,10450,3075,3246,10213,10222,10291,10294,10384,10387,3223,3119,3181,3148,3127,3761,3348,3216,4551,4494,10282,3179,10349,4074,3929,4563,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,3742,3272,4534,10259,10262,10288,10757,10770,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3654,4027,4552,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,4542,10803,10815,10922,10940,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,4561,3738,3557,10605,10608,10691,10862,4558,4559,10742,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945])). % 159.04/158.80 cnf(10943,plain, % 159.04/158.80 (~P104(f331(f331(f333(x109431),x109432),f194(f885(x109431,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(10946,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x109461,a871)),x109462),f331(f331(f308(x109461),x109463),x109462)))), % 159.04/158.80 inference(rename_variables,[],[3736])). % 159.04/158.80 cnf(10949,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),x109491),x109491))), % 159.04/158.80 inference(rename_variables,[],[3290])). % 159.04/158.80 cnf(10952,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x109521,a871)),x109522),f331(f331(f308(x109521),x109523),x109522)))), % 159.04/158.80 inference(rename_variables,[],[3736])). % 159.04/158.80 cnf(10954,plain, % 159.04/158.80 (P36(x109541,x109542,x109543,f118(x109541,f117(x109541)),f117(x109542))), % 159.04/158.80 inference(scs_inference,[],[4566,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,4483,10450,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3119,3181,3148,3127,3761,3348,3216,4551,4494,10282,3179,10349,4074,3929,4563,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,3742,3272,4534,10259,10262,10288,10757,10770,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3654,4027,4552,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,4542,10803,10815,10922,10940,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,4561,3736,10946,3738,3557,10605,10608,10691,10862,4558,4559,10742,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056])). % 159.04/158.80 cnf(10967,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x109671,a871)),x109672),f331(f331(f308(x109671),x109673),x109672)))), % 159.04/158.80 inference(rename_variables,[],[3736])). % 159.04/158.80 cnf(10972,plain, % 159.04/158.80 (~P104(f331(f63(x109721,x109722,f194(f885(x109721,a871))),x109723))), % 159.04/158.80 inference(rename_variables,[],[4554])). % 159.04/158.80 cnf(10976,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(a876,a876)),f331(f331(f265(a876,a876),f331(a116,x109761)),x109761)),f306(a876,a321)))), % 159.04/158.80 inference(scs_inference,[],[4566,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,4483,10450,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3119,3181,3148,3127,3761,3348,3216,4551,4494,10282,3179,10349,4074,3929,4563,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,3742,3272,4534,10259,10262,10288,10757,10770,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3654,4027,4552,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3738,3557,10605,10608,10691,10862,4558,4559,10742,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378])). % 159.04/158.80 cnf(10985,plain, % 159.04/158.80 (P104(f331(f331(f245(a876),x109851),f331(a116,x109851)))), % 159.04/158.80 inference(rename_variables,[],[3358])). % 159.04/158.80 cnf(10995,plain, % 159.04/158.80 (~E(f331(f309(x109951,f885(x109951,a871),x109952),x109953),f331(f307(x109951),x109953))), % 159.04/158.80 inference(rename_variables,[],[4540])). % 159.04/158.80 cnf(10998,plain, % 159.04/158.80 (~P104(f331(f331(f333(x109981),x109982),f194(f885(x109981,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(11001,plain, % 159.04/158.80 (P104(f331(f331(f333(f884(x110011,x110011)),f331(f331(f265(x110011,x110011),x110012),x110012)),f306(x110011,x110013)))), % 159.04/158.80 inference(rename_variables,[],[3929])). % 159.04/158.80 cnf(11004,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x110041,a871)),x110042),f253(f885(x110041,a871))))), % 159.04/158.80 inference(rename_variables,[],[3672])). % 159.04/158.80 cnf(11007,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x110071,a871)),f331(f172(x110071),f170(x110071,x110072,x110073))),f331(f172(x110071),x110073)))), % 159.04/158.80 inference(rename_variables,[],[3990])). % 159.04/158.80 cnf(11023,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x110231,a871)),f194(f885(x110231,a871))),x110232))), % 159.04/158.80 inference(rename_variables,[],[3738])). % 159.04/158.80 cnf(11034,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(f877(x110341),f877(x110341))),f331(f331(f265(f877(x110341),f877(x110341)),x110342),f117(x110341))),f146(x110341,x110343)))), % 159.04/158.80 inference(rename_variables,[],[4563])). % 159.04/158.80 cnf(11045,plain, % 159.04/158.80 (~E(f331(a116,x110451),x110451)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(11048,plain, % 159.04/158.80 (~E(f331(a116,x110481),x110481)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(11050,plain, % 159.04/158.80 (P104(f331(f331(f333(f884(f877(x110501),f877(x110501))),f331(f331(f265(f877(x110501),f877(x110501)),f117(x110501)),f117(x110501))),f331(f331(f287(f877(x110501),f877(x110501),f877(x110501)),f157(x110501,x110502)),f306(f877(x110501),f157(x110501,x110502)))))), % 159.04/158.80 inference(scs_inference,[],[4566,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,4483,10450,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,4551,3927,4494,10282,4540,3179,10349,4074,3929,11001,4563,10933,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3990,3654,4027,3672,4552,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3738,10685,3557,10605,10608,10691,10862,4558,4559,10742,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611])). % 159.04/158.80 cnf(11060,plain, % 159.04/158.80 (P21(x110601,x110601,f5(x110601),x110602)), % 159.04/158.80 inference(rename_variables,[],[3531])). % 159.04/158.80 cnf(11065,plain, % 159.04/158.80 (~E(f331(f309(x110651,f885(x110651,a871),x110652),x110653),f331(f307(x110651),x110653))), % 159.04/158.80 inference(rename_variables,[],[4540])). % 159.04/158.80 cnf(11070,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x110701,a871)),x110702),f253(f885(x110701,a871))))), % 159.04/158.80 inference(rename_variables,[],[3672])). % 159.04/158.80 cnf(11084,plain, % 159.04/158.80 (~P104(f331(f331(f333(x110841),x110842),f194(f885(x110841,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(11087,plain, % 159.04/158.80 (~P104(f331(f331(f244(a876),f331(a116,x110871)),x110871))), % 159.04/158.80 inference(rename_variables,[],[4539])). % 159.04/158.80 cnf(11092,plain, % 159.04/158.80 (~P104(f331(f331(f333(x110921),x110922),f194(f885(x110921,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(11104,plain, % 159.04/158.80 (~P104(f331(f331(f333(a876),f331(a116,f331(f141(a876,a876,f80(a876),f2(a876)),x111041))),f331(f172(a876),x111041)))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,4551,3927,4494,10282,4540,10995,3395,3179,10349,4074,3929,11001,4563,10933,11034,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3990,3654,4027,3672,11004,4552,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,10998,11084,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3738,10685,3557,10605,10608,10691,10862,4558,4559,10742,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829])). % 159.04/158.80 cnf(11105,plain, % 159.04/158.80 (~P104(f331(f331(f244(a876),f331(a116,x111051)),x111051))), % 159.04/158.80 inference(rename_variables,[],[4539])). % 159.04/158.80 cnf(11108,plain, % 159.04/158.80 (~P104(f331(f331(f333(x111081),x111082),f194(f885(x111081,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(11116,plain, % 159.04/158.80 (E(f331(f135(x111161,f253(f885(x111162,a871))),f731(x111163,x111164,f331(f331(f150(x111161),x111164),x111163),f253(f885(x111162,a871)),x111161)),x111163)), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,4551,3927,4494,10282,4540,10995,3395,3179,10349,4074,3929,11001,4563,10933,11034,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3990,3654,4027,3672,11004,4552,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,10998,11084,11092,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3738,10685,3557,10605,10608,10691,10862,4558,4559,10742,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903])). % 159.04/158.80 cnf(11118,plain, % 159.04/158.80 (E(f331(x111181,f571(f331(x111181,x111182),f331(f236(x111183),x111182),x111181,x111184,x111183)),f331(x111181,x111182))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,3394,4551,3927,4494,10282,4540,10995,3395,3179,10349,4074,3929,11001,4563,10933,11034,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3990,3654,4027,3672,11004,4552,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,10998,11084,11092,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3738,10685,3557,10605,10608,10691,10862,4558,4559,10742,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905])). % 159.04/158.80 cnf(11127,plain, % 159.04/158.80 (P104(f331(f331(f333(f884(x111271,x111271)),f331(f331(f265(x111271,x111271),x111272),x111272)),f306(x111271,x111273)))), % 159.04/158.80 inference(rename_variables,[],[3929])). % 159.04/158.80 cnf(11132,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(f877(x111321),f877(x111321))),f331(f331(f265(f877(x111321),f877(x111321)),x111322),f117(x111321))),f146(x111321,x111323)))), % 159.04/158.80 inference(rename_variables,[],[4563])). % 159.04/158.80 cnf(11135,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(f877(x111351),f877(x111351))),f331(f331(f265(f877(x111351),f877(x111351)),x111352),f117(x111351))),f144(x111351,x111353)))), % 159.04/158.80 inference(rename_variables,[],[4564])). % 159.04/158.80 cnf(11138,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(f877(x111381),f877(x111381))),f331(f331(f265(f877(x111381),f877(x111381)),x111382),f117(x111381))),f156(x111381,x111383)))), % 159.04/158.80 inference(rename_variables,[],[4565])). % 159.04/158.80 cnf(11140,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(f877(x111401),f877(x111401))),f331(f331(f265(f877(x111401),f877(x111401)),f117(x111401)),x111402)),f331(f285(f877(x111401),f877(x111401)),f146(x111401,x111403))))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,3394,4551,3927,4494,10282,4540,10995,3395,3179,10349,4074,3929,11001,4563,10933,11034,11132,4564,4565,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3990,3654,4027,3672,11004,4552,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,10998,11084,11092,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3738,10685,3557,10605,10608,10691,10862,4558,4559,10742,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051])). % 159.04/158.80 cnf(11143,plain, % 159.04/158.80 (~P104(f331(f331(f245(f885(x111431,a871)),x111432),f194(f885(x111431,a871))))), % 159.04/158.80 inference(rename_variables,[],[4552])). % 159.04/158.80 cnf(11145,plain, % 159.04/158.80 (~P104(f331(f331(f333(x111451),x111452),f331(f309(x111453,x111451,x111454),f194(f885(x111453,a871)))))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,3394,4551,3927,4494,10282,4540,10995,3395,3179,10349,4074,3929,11001,4563,10933,11034,11132,4564,4565,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3990,3654,4027,3672,11004,4552,10773,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3738,10685,3557,10605,10608,10691,10862,4558,4559,10742,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074])). % 159.04/158.80 cnf(11146,plain, % 159.04/158.80 (~P104(f331(f331(f333(x111461),x111462),f194(f885(x111461,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(11150,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x111501,a871)),x111502),f331(f331(f114(f885(x111501,a871)),x111503),f253(f885(x111501,a871)))))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,3394,4551,3927,4494,10282,4540,10995,3395,3179,10349,4074,3929,11001,4563,10933,11034,11132,4564,4565,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3990,3654,4027,3672,11004,11070,4552,10773,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3738,10685,3557,10605,10608,10691,10862,4558,4559,10742,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103])). % 159.04/158.80 cnf(11151,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x111511,a871)),x111512),f253(f885(x111511,a871))))), % 159.04/158.80 inference(rename_variables,[],[3672])). % 159.04/158.80 cnf(11154,plain, % 159.04/158.80 (~P104(f331(f331(f194(f885(x111541,f885(x111542,a871))),x111543),x111544))), % 159.04/158.80 inference(rename_variables,[],[4559])). % 159.04/158.80 cnf(11163,plain, % 159.04/158.80 (~P104(f331(f331(f333(x111631),x111632),f194(f885(x111631,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(11166,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(x111661,x111661)),f331(f331(f265(x111661,x111661),x111662),x111663)),f152(x111661,f117(f885(x111661,a876)))))), % 159.04/158.80 inference(rename_variables,[],[4561])). % 159.04/158.80 cnf(11169,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x111691,a871)),x111692),x111692))), % 159.04/158.80 inference(rename_variables,[],[3589])). % 159.04/158.80 cnf(11172,plain, % 159.04/158.80 (~P104(f331(f331(f333(x111721),x111722),f194(f885(x111721,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(11174,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x111741,a871)),f331(f284(x111742,x111741,f194(f885(f884(x111742,x111741),a871))),x111743)),x111744))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,3394,4551,3927,4494,10282,4540,10995,3395,3179,10349,4074,3929,11001,4563,10933,11034,11132,4564,4565,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3990,3654,4027,3672,11004,11070,4552,10773,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3589,3738,10685,11023,3557,10605,10608,10691,10862,4558,4559,10742,10844,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276])). % 159.04/158.80 cnf(11175,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x111751,a871)),f194(f885(x111751,a871))),x111752))), % 159.04/158.80 inference(rename_variables,[],[3738])). % 159.04/158.80 cnf(11178,plain, % 159.04/158.80 (P104(f331(f331(f333(f884(x111781,x111781)),f331(f331(f265(x111781,x111781),x111782),x111782)),f306(x111781,x111783)))), % 159.04/158.80 inference(rename_variables,[],[3929])). % 159.04/158.80 cnf(11180,plain, % 159.04/158.80 (~P36(x111801,x111802,x111803,f331(f331(f153(x111804,x111801),x111805),f331(a116,f117(x111804))),f117(x111802))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,3394,4551,3927,4494,10282,4540,10995,3395,3179,10349,4074,3929,11001,11127,4563,10933,11034,11132,4564,4565,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3990,3654,4027,3672,11004,11070,4552,10773,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3589,3738,10685,11023,3557,10605,10608,10691,10862,4558,4559,10742,10844,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285])). % 159.04/158.80 cnf(11182,plain, % 159.04/158.80 (~E(f331(f331(f105(f885(f884(f877(x111821),f877(x111821)),a871)),f331(f285(f877(x111821),f877(x111821)),f157(x111821,x111822))),f306(f877(x111821),f157(x111821,x111822))),f194(f885(f884(f877(x111821),f877(x111821)),a871)))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,3394,4551,3927,4494,10282,4540,10995,3395,3179,10349,4074,3929,11001,11127,4563,10933,11034,11132,4564,4565,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3990,3654,4027,3672,11004,11070,4552,10773,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3589,3738,10685,11023,3557,10605,10608,10691,10862,4558,4559,10742,10844,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307])). % 159.04/158.80 cnf(11184,plain, % 159.04/158.80 (P36(x111841,x111842,x111843,f331(f331(f153(x111844,x111841),x111845),f118(x111844,f117(x111844))),f117(x111842))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,3394,4551,3927,4494,10282,4540,10995,3395,3179,10349,4074,3929,11001,11127,4563,10933,11034,11132,4564,4565,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3990,3654,4027,3672,11004,11070,4552,10773,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3589,3738,10685,11023,3557,10605,10608,10691,10862,4558,4559,10742,10844,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308])). % 159.04/158.80 cnf(11188,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(f877(x111881),f877(x111881))),f331(f331(f265(f877(x111881),f877(x111881)),x111882),f117(x111881))),f331(f285(f877(x111881),f877(x111881)),f156(x111881,x111883))))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,3394,4551,3927,4494,10282,4540,10995,3395,3179,10349,4074,3929,11001,11127,4563,10933,11034,11132,4564,4565,11138,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3990,3654,4027,3672,11004,11070,4552,10773,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3589,3738,10685,11023,3557,10605,10608,10691,10862,4558,4559,10742,10844,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398])). % 159.04/158.80 cnf(11189,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(f877(x111891),f877(x111891))),f331(f331(f265(f877(x111891),f877(x111891)),x111892),f117(x111891))),f156(x111891,x111893)))), % 159.04/158.80 inference(rename_variables,[],[4565])). % 159.04/158.80 cnf(11192,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(f877(x111921),f877(x111921))),f331(f331(f265(f877(x111921),f877(x111921)),f117(x111921)),x111922)),f144(x111921,x111923)))), % 159.04/158.80 inference(rename_variables,[],[4567])). % 159.04/158.80 cnf(11197,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(f885(x111971,a871),f885(x111971,a871))),f331(f331(f265(f885(x111971,a871),f885(x111971,a871)),x111972),f194(f885(x111971,a871)))),f305(x111971)))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,3394,4551,3927,4494,10282,4540,10995,3395,3179,10349,4074,3929,11001,11127,4563,10933,11034,11132,4564,4565,11138,4567,4568,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3990,3654,4027,3672,11004,11070,4552,10773,11143,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3589,3738,10685,11023,3557,10605,10608,10691,10862,4558,4559,10742,10844,4179,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435])). % 159.04/158.80 cnf(11200,plain, % 159.04/158.80 (P104(f331(f331(f333(x112001),x112002),f253(f885(x112001,a871))))), % 159.04/158.80 inference(rename_variables,[],[3447])). % 159.04/158.80 cnf(11205,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x112051,a871)),f194(f885(x112051,a871))),x112052))), % 159.04/158.80 inference(rename_variables,[],[3738])). % 159.04/158.80 cnf(11208,plain, % 159.04/158.80 (~P104(f331(f331(f333(x112081),x112082),f194(f885(x112081,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(11211,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x112111,a871)),x112112),f253(f885(x112111,a871))))), % 159.04/158.80 inference(rename_variables,[],[3672])). % 159.04/158.80 cnf(11215,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x112151,a871)),f331(f284(x112152,x112151,x112153),f194(f885(x112152,a871)))),x112154))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,3394,4551,3927,4494,10282,4540,10995,3395,3179,10349,4074,3929,11001,11127,4563,10933,11034,11132,4564,4565,11138,4567,4568,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3990,3654,4027,3672,11004,11070,11151,4552,10773,11143,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3589,3738,10685,11023,11175,11205,3557,10605,10608,10691,10862,4558,4559,10742,10844,4179,4079,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540])). % 159.04/158.80 cnf(11216,plain, % 159.04/158.80 (P104(f331(f331(f244(f885(x112161,a871)),f194(f885(x112161,a871))),x112162))), % 159.04/158.80 inference(rename_variables,[],[3738])). % 159.04/158.80 cnf(11218,plain, % 159.04/158.80 (~P104(f331(f67(a876,x112181,x112182,x112183,f253(f885(a876,a871))),x112184))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,3394,4551,3927,4494,10282,4540,10995,3395,3179,10349,4074,3929,11001,11127,4563,10933,11034,11132,4564,4565,11138,4567,4568,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4038,3939,10825,3990,3654,4027,3672,11004,11070,11151,4552,10773,11143,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,3352,10649,10679,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3589,3738,10685,11023,11175,11205,3557,10605,10608,10691,10862,4558,4559,10742,10844,4179,4079,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562])). % 159.04/158.80 cnf(11229,plain, % 159.04/158.80 (P104(f331(f253(f885(x112291,a871)),x112292))), % 159.04/158.80 inference(rename_variables,[],[3352])). % 159.04/158.80 cnf(11237,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(f877(x112371),f877(x112371))),f331(f331(f265(f877(x112371),f877(x112371)),x112372),f117(x112371))),f146(x112371,x112373)))), % 159.04/158.80 inference(rename_variables,[],[4563])). % 159.04/158.80 cnf(11240,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(f877(x112401),f877(x112401))),f331(f331(f265(f877(x112401),f877(x112401)),x112402),f117(x112401))),f144(x112401,x112403)))), % 159.04/158.80 inference(rename_variables,[],[4564])). % 159.04/158.80 cnf(11243,plain, % 159.04/158.80 (~E(f331(f331(f150(x112431),x112432),x112433),x112433)), % 159.04/158.80 inference(rename_variables,[],[4494])). % 159.04/158.80 cnf(11246,plain, % 159.04/158.80 (~E(f331(a116,x112461),x112461)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(11249,plain, % 159.04/158.80 (~P104(f331(f331(f333(x112491),x112492),f194(f885(x112491,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(11254,plain, % 159.04/158.80 (P104(f331(f331(f333(f884(f877(x112541),f877(x112541))),f331(f331(f265(f877(x112541),f877(x112541)),x112542),x112542)),f157(x112541,f306(x112541,x112543))))), % 159.04/158.80 inference(rename_variables,[],[4068])). % 159.04/158.80 cnf(11259,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(f877(x112591),f877(x112591))),f331(f331(f265(f877(x112591),f877(x112591)),x112592),f117(x112591))),f146(x112591,x112593)))), % 159.04/158.80 inference(rename_variables,[],[4563])). % 159.04/158.80 cnf(11263,plain, % 159.04/158.80 (E(f331(f331(f150(x112631),f577(f306(x112631,x112632),f331(f331(f150(x112631),x112633),x112634),x112634,x112633,x112631)),f578(f306(x112631,x112632),f331(f331(f150(x112631),x112633),x112634),x112634,x112633,x112631)),f331(f331(f150(x112631),x112633),x112634))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,3394,4551,3927,4494,10282,10447,4540,10995,3395,3179,10349,4074,3929,11001,11127,4563,10933,11034,11132,11237,4564,11135,4565,11138,4567,11192,4568,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4068,11254,4038,3939,10825,3990,3654,4027,3672,11004,11070,11151,4552,10773,11143,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,3352,10649,10679,10688,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3589,3738,10685,11023,11175,11205,3557,10605,10608,10691,10862,4558,4559,10742,10844,4179,4079,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732])). % 159.04/158.80 cnf(11268,plain, % 159.04/158.80 (~P104(f331(f331(f333(x112681),x112682),f186(x112683,x112681,f188(x112683,x112681,x112684,f194(f885(x112683,a871))))))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,3394,4551,3927,4494,10282,10447,4540,10995,3395,3179,10349,4074,3929,11001,11127,4563,10933,11034,11132,11237,4564,11135,4565,11138,4567,11192,4568,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4068,11254,4038,3939,10825,3990,3654,4027,3672,11004,11070,11151,4552,10773,11143,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,3352,10649,10679,10688,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,3894,3736,10946,10952,3589,3738,10685,11023,11175,11205,3557,10605,10608,10691,10862,4558,4559,10742,10844,4179,4079,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755])). % 159.04/158.80 cnf(11269,plain, % 159.04/158.80 (~P104(f331(f331(f333(x112691),x112692),f194(f885(x112691,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(11272,plain, % 159.04/158.80 (~P104(f331(f331(f333(x112721),x112722),f194(f885(x112721,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(11275,plain, % 159.04/158.80 (~P104(f331(f331(f333(x112751),x112752),f194(f885(x112751,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(11278,plain, % 159.04/158.80 (P104(f331(f331(f333(x112781),x112782),f253(f885(x112781,a871))))), % 159.04/158.80 inference(rename_variables,[],[3447])). % 159.04/158.80 cnf(11281,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x112811),f2(a876)))), % 159.04/158.80 inference(rename_variables,[],[4534])). % 159.04/158.80 cnf(11286,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(x112861,x112861)),f331(f331(f265(x112861,x112861),x112862),x112863)),f152(x112861,f117(f885(x112861,a876)))))), % 159.04/158.80 inference(rename_variables,[],[4561])). % 159.04/158.80 cnf(11289,plain, % 159.04/158.80 (~E(f331(f309(x112891,f885(x112891,a871),x112892),x112893),f331(f307(x112891),x112893))), % 159.04/158.80 inference(rename_variables,[],[4540])). % 159.04/158.80 cnf(11292,plain, % 159.04/158.80 (~E(f331(f309(x112921,f885(x112921,a871),x112922),x112923),f331(f307(x112921),x112923))), % 159.04/158.80 inference(rename_variables,[],[4540])). % 159.04/158.80 cnf(11297,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(f877(x112971),f877(x112971))),f331(f331(f265(f877(x112971),f877(x112971)),x112972),f117(x112971))),f146(x112971,x112973)))), % 159.04/158.80 inference(rename_variables,[],[4563])). % 159.04/158.80 cnf(11303,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(f877(x113031),f877(x113031))),f331(f331(f265(f877(x113031),f877(x113031)),x113032),f117(x113031))),f146(x113031,x113033)))), % 159.04/158.80 inference(rename_variables,[],[4563])). % 159.04/158.80 cnf(11306,plain, % 159.04/158.80 (~P104(f331(f331(f333(x113061),x113062),f194(f885(x113061,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(11310,plain, % 159.04/158.80 (P104(f331(f331(f333(f884(x113101,x113102)),f331(f331(f265(x113101,x113102),f331(x113103,x113104)),f331(x113105,x113104))),f331(f309(f884(x113106,x113106),f884(x113101,x113102),f270(x113106,x113101,x113106,x113102,x113103,x113105)),f306(x113106,x113107))))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,4483,10450,10541,3075,3129,3246,10213,10222,10291,10294,10384,10387,3223,3750,3119,3181,3148,3127,3761,3348,3216,3394,4551,3927,4494,10282,10447,4540,10995,11065,11289,3395,3179,10349,4074,3929,11001,11127,11178,4563,10933,11034,11132,11237,11259,11297,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,3653,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,4546,3729,3501,3877,3318,3320,3293,4531,4488,4068,11254,4038,3939,10825,3990,3654,4027,3672,11004,11070,11151,4552,10773,11143,3289,10377,10473,10602,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,11200,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,3352,10649,10679,10688,3384,3809,3747,10328,4539,10279,10637,10640,11087,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4554,10247,10250,10507,10558,10561,10566,4561,11166,3894,3736,10946,10952,3589,3738,10685,11023,11175,11205,3557,10605,10608,10691,10862,4558,4559,10742,10844,4179,4079,3769,4556,10301,10304,10643,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055])). % 159.04/158.80 cnf(11313,plain, % 159.04/158.80 (~P104(f331(f331(f333(x113131),x113132),f194(f885(x113131,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(11316,plain, % 159.04/158.80 (~P104(f331(f331(f333(x113161),x113162),f194(f885(x113161,a871))))), % 159.04/158.80 inference(rename_variables,[],[4542])). % 159.04/158.80 cnf(11319,plain, % 159.04/158.80 (P104(f331(f331(f333(x113191),f331(x113192,x113193)),f331(f309(x113194,x113191,x113192),f253(f885(x113194,a871)))))), % 159.04/158.80 inference(rename_variables,[],[3894])). % 159.04/158.80 cnf(11322,plain, % 159.04/158.80 (~P104(f331(f331(f333(f884(x113221,x113221)),f331(f331(f265(x113221,x113221),x113222),x113223)),f152(x113221,f117(f885(x113221,a876)))))), % 159.04/158.80 inference(rename_variables,[],[4561])). % 159.04/158.80 cnf(11330,plain, % 159.04/158.80 (E(f118(x113301,f117(x113301)),f117(x113301))), % 159.04/158.80 inference(rename_variables,[],[3129])). % 159.04/158.80 cnf(11333,plain, % 159.04/158.80 (~E(f331(a116,x113331),x113331)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(11340,plain, % 159.04/158.80 (~E(f331(a116,x113401),x113401)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(11345,plain, % 159.04/158.80 (E(f331(f261(x113451,x113451),f262(x113451,x113452)),x113452)), % 159.04/158.80 inference(rename_variables,[],[3246])). % 159.04/158.80 cnf(11348,plain, % 159.04/158.80 (E(f331(f261(x113481,x113481),f262(x113481,x113482)),x113482)), % 159.04/158.80 inference(rename_variables,[],[3246])). % 159.04/158.80 cnf(11354,plain, % 159.04/158.80 (~E(f331(a116,x113541),x113541)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(11361,plain, % 159.04/158.80 (~E(f331(f331(f80(a1),x113611),x113611),a101)), % 159.04/158.80 inference(rename_variables,[],[4491])). % 159.04/158.80 cnf(11370,plain, % 159.04/158.80 (E(f331(f331(f22(a876),f2(a876)),x113701),f2(a876))), % 159.04/158.80 inference(rename_variables,[],[3200])). % 159.04/158.80 cnf(11373,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x113731),f2(a876)))), % 159.04/158.80 inference(rename_variables,[],[4534])). % 159.04/158.80 cnf(11380,plain, % 159.04/158.80 (E(f331(f331(f80(a1),f331(f331(f81(a1),x113801),f331(f331(f39(a1),x113802),x113801))),f45(a1,x113802,x113801)),x113802)), % 159.04/158.80 inference(rename_variables,[],[3842])). % 159.04/158.80 cnf(11404,plain, % 159.04/158.80 (~E(f331(a116,x114041),x114041)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(11407,plain, % 159.04/158.80 (~E(f331(a116,x114071),x114071)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(11433,plain, % 159.04/158.80 (~P104(f331(f63(x114331,x114332,f194(f885(x114331,a871))),x114333))), % 159.04/158.80 inference(rename_variables,[],[4554])). % 159.04/158.80 cnf(11436,plain, % 159.04/158.80 (~P104(f331(f331(f194(f885(x114361,f885(x114362,a871))),x114363),x114364))), % 159.04/158.80 inference(rename_variables,[],[4559])). % 159.04/158.80 cnf(11439,plain, % 159.04/158.80 (P104(f331(f331(f333(x114391),x114392),f253(f885(x114391,a871))))), % 159.04/158.80 inference(rename_variables,[],[3447])). % 159.04/158.80 cnf(11451,plain, % 159.04/158.80 (P104(f331(f331(f201(a24),x114511),x114511))), % 159.04/158.80 inference(rename_variables,[],[3289])). % 159.04/158.80 cnf(11458,plain, % 159.04/158.80 (P104(f331(f67(x114581,x114582,x114583,x114584,f194(f885(x114581,a871))),x114584))), % 159.04/158.80 inference(rename_variables,[],[4218])). % 159.04/158.80 cnf(11459,plain, % 159.04/158.80 (E(f331(f261(x114591,x114591),f262(x114591,x114592)),x114592)), % 159.04/158.80 inference(rename_variables,[],[3246])). % 159.04/158.80 cnf(11464,plain, % 159.04/158.80 (~P104(f331(f331(f194(f885(x114641,f885(x114642,a871))),x114643),x114644))), % 159.04/158.80 inference(rename_variables,[],[4559])). % 159.04/158.80 cnf(11475,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),f331(f331(f80(a876),x114751),x114752)),x114752))), % 159.04/158.80 inference(rename_variables,[],[4556])). % 159.04/158.80 cnf(11478,plain, % 159.04/158.80 (~P104(f331(f331(f245(a1),f331(f104(a1),x114781)),f2(a1)))), % 159.04/158.80 inference(rename_variables,[],[4546])). % 159.04/158.80 cnf(11496,plain, % 159.04/158.80 (~E(f331(f331(f105(a876),f331(a116,x114961)),x114961),f331(a116,x114961))), % 159.04/158.80 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,4483,10450,10541,3204,2886,2892,2896,2897,2904,2907,2911,2912,2914,2929,2930,2933,2959,2965,2966,2990,3025,3033,3034,3043,3054,3061,3075,4464,3129,11330,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,3223,3750,3119,3842,11380,3181,3148,3127,3761,3348,3216,3394,4551,3927,4494,10282,10447,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3097,3200,11370,4074,3929,11001,11127,11178,4563,10933,11034,11132,11237,11259,11297,11303,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,3653,4491,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,11281,11373,4546,3729,3501,3877,3318,3320,3293,4531,4488,3484,4547,4068,11254,3612,4038,3939,10825,3990,3654,4027,3672,11004,11070,11151,4552,10773,11143,3289,10377,10473,10602,10662,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,3447,10622,10886,10930,11200,11278,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,3352,10649,10679,10688,3384,3809,3747,10328,4539,10279,10637,10640,11087,11105,3312,10682,10835,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,4218,4554,10247,10250,10507,10558,10561,10566,10972,4561,11166,11286,3894,3736,10946,10952,3589,3738,10685,11023,11175,11205,3557,10605,10608,10691,10862,4558,4548,4559,10742,10844,11154,11436,4179,4079,3769,4556,10301,10304,10643,10646,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366])). % 159.04/158.80 cnf(11503,plain, % 159.04/158.80 (E(f331(f261(x115031,x115031),f262(x115031,x115032)),x115032)), % 159.04/158.80 inference(rename_variables,[],[3246])). % 159.04/158.80 cnf(11508,plain, % 159.04/158.80 (E(f331(f261(x115081,x115081),f262(x115081,x115082)),x115082)), % 159.04/158.80 inference(rename_variables,[],[3246])). % 159.04/158.80 cnf(11511,plain, % 159.04/158.80 (~P104(f331(f331(f245(a1),f331(f104(a1),x115111)),f2(a1)))), % 159.04/158.80 inference(rename_variables,[],[4546])). % 159.04/158.80 cnf(11516,plain, % 159.04/158.80 (~E(f331(a116,x115161),x115161)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(11525,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x115251),x115251))), % 159.04/158.80 inference(rename_variables,[],[4530])). % 159.04/158.80 cnf(11546,plain, % 159.04/158.80 (~P104(f331(f331(f245(a1),f331(f104(a1),x115461)),f2(a1)))), % 159.04/158.80 inference(rename_variables,[],[4546])). % 159.04/158.80 cnf(11561,plain, % 159.04/158.80 (~P104(f331(f331(f244(a876),f331(a116,x115611)),x115611))), % 159.04/158.80 inference(rename_variables,[],[4539])). % 159.04/158.80 cnf(11562,plain, % 159.04/158.80 (~E(f331(a116,x115621),x115621)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(11572,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),f331(f331(f80(a876),x115721),x115722)),x115721))), % 159.04/158.80 inference(rename_variables,[],[4557])). % 159.04/158.80 cnf(11575,plain, % 159.04/158.80 (~P104(f331(f331(f245(a1),f331(f104(a1),x115751)),f2(a1)))), % 159.04/158.80 inference(rename_variables,[],[4546])). % 159.04/158.80 cnf(11578,plain, % 159.04/158.80 (~E(f331(a116,x115781),x115781)), % 159.04/158.80 inference(rename_variables,[],[4468])). % 159.04/158.80 cnf(11591,plain, % 159.04/158.80 (P104(f331(f331(f333(x115911),x115912),f331(f331(f308(x115911),x115912),x115913)))), % 159.04/158.80 inference(rename_variables,[],[3602])). % 159.04/158.80 cnf(11592,plain, % 159.04/158.80 (~P104(f331(f331(f244(a1),f2(a1)),f331(f79(a1),f331(f104(a1),f331(a116,x115921)))))), % 159.04/158.80 inference(rename_variables,[],[4558])). % 159.04/158.80 cnf(11595,plain, % 159.04/158.80 (P104(f331(f331(f245(a876),f331(f331(f22(a876),x115951),x115952)),f331(a116,x115951)))), % 159.04/158.80 inference(rename_variables,[],[3742])). % 159.04/158.80 cnf(11598,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),f45(a876,x115981,x115982)),x115981))), % 159.04/158.80 inference(rename_variables,[],[3747])). % 159.04/158.80 cnf(11604,plain, % 159.04/158.80 (E(f331(f331(f126(x116041),x116042),f117(x116041)),x116042)), % 159.04/158.80 inference(rename_variables,[],[3217])). % 159.04/158.80 cnf(11607,plain, % 159.04/158.80 (E(f331(f261(x116071,x116071),f262(x116071,x116072)),x116072)), % 159.04/158.80 inference(rename_variables,[],[3246])). % 159.04/158.80 cnf(11610,plain, % 159.04/158.80 (E(f173(x116101,x116102,f117(x116101)),x116102)), % 159.04/158.80 inference(rename_variables,[],[3223])). % 159.04/158.80 cnf(11616,plain, % 159.04/158.80 (~P104(f331(f331(f244(a876),f331(a116,x116161)),x116161))), % 159.04/158.80 inference(rename_variables,[],[4539])). % 159.04/158.80 cnf(11625,plain, % 159.04/158.80 (~P104(f331(f331(f245(a876),x116251),x116251))), % 159.04/158.80 inference(rename_variables,[],[4530])). % 159.04/158.80 cnf(11628,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),f45(a876,x116281,x116282)),x116281))), % 159.04/158.80 inference(rename_variables,[],[3747])). % 159.04/158.80 cnf(11629,plain, % 159.04/158.80 (P104(f331(f331(f244(a876),f2(a876)),x116291))), % 159.04/158.80 inference(rename_variables,[],[3312])). % 159.04/158.80 cnf(11631,plain, % 159.04/158.80 (~P104(f331(f331(f244(a1),f78(a1)),f2(a1)))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,4483,10450,10541,3204,2885,2886,2892,2893,2896,2897,2904,2907,2908,2911,2912,2914,2915,2929,2930,2933,2959,2965,2966,2990,3025,3033,3034,3041,3043,3054,3061,3075,4464,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,3217,11604,3223,10696,11610,3750,3119,3842,11380,3181,3148,3143,3127,3128,3761,3348,3216,3394,4551,3927,4494,10282,10447,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,3929,11001,11127,11178,4563,10933,11034,11132,11237,11259,11297,11303,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,3653,4359,4360,4491,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,3272,4534,10259,10262,10288,10757,10770,10891,11281,11373,4546,11478,11511,11546,3729,3501,3877,3318,3320,3293,4531,4488,3484,4547,4068,11254,3612,4038,3939,10825,3990,3654,4027,3672,11004,11070,11151,4552,10773,11143,3289,10377,10473,10602,10662,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,4530,10325,10415,10526,10550,10794,10841,10851,11525,3447,10622,10886,10930,11200,11278,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,3352,10649,10679,10688,3390,3384,3809,3747,10328,11598,4539,10279,10637,10640,11087,11105,11561,3312,10682,10835,10906,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,4561,11166,11286,3894,3736,10946,10952,3589,3738,10685,11023,11175,11205,3557,10605,10608,10691,10862,4558,4548,4559,10742,10844,11154,11436,4179,4079,3769,4556,10301,10304,10643,10646,4557,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805])). % 159.04/158.81 cnf(11646,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x116461),x116461))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(11649,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x116491),x116491))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(11652,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x116521),x116521))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(11655,plain, % 159.04/158.81 (P104(f331(f331(f333(x116551),f331(x116552,x116553)),f331(f309(x116554,x116551,x116552),f253(f885(x116554,a871)))))), % 159.04/158.81 inference(rename_variables,[],[3894])). % 159.04/158.81 cnf(11656,plain, % 159.04/158.81 (~P104(f331(f331(f244(a876),f331(a116,x116561)),x116561))), % 159.04/158.81 inference(rename_variables,[],[4539])). % 159.04/158.81 cnf(11659,plain, % 159.04/158.81 (P104(f331(f331(f333(x116591),f331(x116592,x116593)),f331(f309(x116594,x116591,x116592),f253(f885(x116594,a871)))))), % 159.04/158.81 inference(rename_variables,[],[3894])). % 159.04/158.81 cnf(11660,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),f331(f331(f80(a876),x116601),x116602)),x116602))), % 159.04/158.81 inference(rename_variables,[],[4556])). % 159.04/158.81 cnf(11665,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),f331(f331(f80(a876),x116651),x116652)),x116651))), % 159.04/158.81 inference(rename_variables,[],[4557])). % 159.04/158.81 cnf(11668,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x116681),x116681))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(11671,plain, % 159.04/158.81 (P104(f331(f331(f201(a24),x116711),x116711))), % 159.04/158.81 inference(rename_variables,[],[3289])). % 159.04/158.81 cnf(11677,plain, % 159.04/158.81 (~P37(x116771,x116772,f117(x116771))), % 159.04/158.81 inference(rename_variables,[],[4503])). % 159.04/158.81 cnf(11680,plain, % 159.04/158.81 (P104(f331(f331(f333(x116801),x116802),f253(f885(x116801,a871))))), % 159.04/158.81 inference(rename_variables,[],[3447])). % 159.04/158.81 cnf(11681,plain, % 159.04/158.81 (~P104(f331(f331(f244(a876),f331(a116,x116811)),x116811))), % 159.04/158.81 inference(rename_variables,[],[4539])). % 159.04/158.81 cnf(11684,plain, % 159.04/158.81 (~P104(f331(f63(x116841,x116842,f194(f885(x116841,a871))),x116843))), % 159.04/158.81 inference(rename_variables,[],[4554])). % 159.04/158.81 cnf(11697,plain, % 159.04/158.81 (~P104(f331(f331(f333(x116971),x116972),f194(f885(x116971,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(11700,plain, % 159.04/158.81 (E(f331(f331(f16(x117001,x117002),x117003),x117004),x117003)), % 159.04/158.81 inference(rename_variables,[],[3279])). % 159.04/158.81 cnf(11703,plain, % 159.04/158.81 (E(f331(f331(f16(x117031,x117032),x117033),x117034),x117033)), % 159.04/158.81 inference(rename_variables,[],[3279])). % 159.04/158.81 cnf(11715,plain, % 159.04/158.81 (P104(f331(f331(f245(a876),f2(a876)),f331(a116,x117151)))), % 159.04/158.81 inference(rename_variables,[],[3370])). % 159.04/158.81 cnf(11718,plain, % 159.04/158.81 (P104(f331(f331(f201(a24),x117181),x117181))), % 159.04/158.81 inference(rename_variables,[],[3289])). % 159.04/158.81 cnf(11721,plain, % 159.04/158.81 (P104(f331(f331(f333(x117211),f331(x117212,x117213)),f331(f309(x117214,x117211,x117212),f253(f885(x117214,a871)))))), % 159.04/158.81 inference(rename_variables,[],[3894])). % 159.04/158.81 cnf(11724,plain, % 159.04/158.81 (P104(f331(f62(x117241),f331(f172(x117241),x117242)))), % 159.04/158.81 inference(rename_variables,[],[3331])). % 159.04/158.81 cnf(11727,plain, % 159.04/158.81 (P104(f331(f62(x117271),f331(f172(x117271),x117272)))), % 159.04/158.81 inference(rename_variables,[],[3331])). % 159.04/158.81 cnf(11730,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),f331(f79(a1),f331(f104(a1),x117301))),f331(f104(a1),x117302)))), % 159.04/158.81 inference(rename_variables,[],[3770])). % 159.04/158.81 cnf(11733,plain, % 159.04/158.81 (~P104(f331(f331(f333(x117331),x117332),f194(f885(x117331,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(11749,plain, % 159.04/158.81 (~P104(f331(f331(f333(a876),x117491),f331(f251(a876),f2(a876))))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,4502,4503,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,4483,10450,10541,3204,2885,2886,2889,2892,2893,2896,2897,2904,2907,2908,2911,2912,2914,2915,2929,2930,2933,2959,2965,2966,2990,3025,3033,3034,3041,3043,3044,3054,3061,3075,4464,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,3217,11604,3223,10696,11610,3750,3119,3842,11380,3181,3148,3143,3127,3128,3761,3348,3216,3394,4551,3927,4494,10282,10447,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,3929,11001,11127,11178,4563,10933,11034,11132,11237,11259,11297,11303,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,3653,4359,4360,4491,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,11595,3272,3370,4534,10259,10262,10288,10757,10770,10891,11281,11373,4546,11478,11511,11546,3729,3501,3877,3318,3320,3293,4531,4488,3484,4547,4068,11254,3612,3331,11724,4038,3939,10825,3990,3654,4027,3672,11004,11070,11151,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,3292,3366,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,3447,10622,10886,10930,11200,11278,11439,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,3352,10649,10679,10688,3390,3384,3809,3747,10328,11598,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,3312,10682,10835,10906,3770,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,4561,11166,11286,4004,3894,11319,11655,11659,3736,10946,10952,3589,3738,10685,11023,11175,11205,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,4179,4079,3769,3716,4556,10301,10304,10643,10646,11475,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140])). % 159.04/158.81 cnf(11752,plain, % 159.04/158.81 (P104(f331(f331(f201(a24),x117521),x117521))), % 159.04/158.81 inference(rename_variables,[],[3289])). % 159.04/158.81 cnf(11755,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x117551),x117551))), % 159.04/158.81 inference(rename_variables,[],[3291])). % 159.04/158.81 cnf(11764,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x117641),x117641))), % 159.04/158.81 inference(rename_variables,[],[3291])). % 159.04/158.81 cnf(11767,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x117671),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(11772,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x117721),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(11779,plain, % 159.04/158.81 (P104(f331(f253(f885(x117791,a871)),x117792))), % 159.04/158.81 inference(rename_variables,[],[3352])). % 159.04/158.81 cnf(11784,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),f2(a876)),x117841))), % 159.04/158.81 inference(rename_variables,[],[3312])). % 159.04/158.81 cnf(11785,plain, % 159.04/158.81 (~P104(f331(f331(f244(a876),f331(a116,x117851)),x117851))), % 159.04/158.81 inference(rename_variables,[],[4539])). % 159.04/158.81 cnf(11788,plain, % 159.04/158.81 (~P104(f331(f63(x117881,x117882,f194(f885(x117881,a871))),x117883))), % 159.04/158.81 inference(rename_variables,[],[4554])). % 159.04/158.81 cnf(11803,plain, % 159.04/158.81 (~P104(f331(f331(f245(a1),f331(f104(a1),f331(a116,x118031))),f331(f79(a1),f2(a1))))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,4502,4503,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,4483,10450,10541,3204,2885,2886,2889,2892,2893,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2929,2930,2933,2945,2959,2965,2966,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,3217,11604,3223,10696,11610,3750,3119,3842,11380,3181,3148,3143,3127,3128,3761,3348,3216,3394,4551,3927,4494,10282,10447,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,3929,11001,11127,11178,4563,10933,11034,11132,11237,11259,11297,11303,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,3653,4359,4360,4491,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,11595,3272,3370,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,4546,11478,11511,11546,11575,3729,3501,3877,3318,3320,3293,4531,4488,3484,4547,4068,11254,3612,3331,11724,4038,3939,10825,3990,3654,4027,3672,11004,11070,11151,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,10878,11755,3292,3366,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,3447,10622,10886,10930,11200,11278,11439,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,3352,10649,10679,10688,11229,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,3312,10682,10835,10906,11629,3770,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,4004,3894,11319,11655,11659,3736,10946,10952,3589,3738,10685,11023,11175,11205,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,4179,4079,3769,3716,4556,10301,10304,10643,10646,11475,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429])). % 159.04/158.81 cnf(11807,plain, % 159.04/158.81 (P104(f331(f331(f245(a1),f331(f79(a1),f78(a1))),f2(a1)))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,4502,4503,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,4483,10450,10541,3204,2885,2886,2889,2892,2893,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2929,2930,2933,2945,2959,2965,2966,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,3217,11604,3223,10696,11610,3750,3119,3842,11380,3181,3148,3143,3127,3128,3761,3348,3216,3394,4551,3927,4494,10282,10447,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,3929,11001,11127,11178,4563,10933,11034,11132,11237,11259,11297,11303,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,3653,4359,4360,4491,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,11595,3272,3370,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,4546,11478,11511,11546,11575,3729,3501,3877,3318,3320,3293,4531,4488,3484,4547,4068,11254,3612,3331,11724,4038,3939,10825,3990,3654,4027,3672,11004,11070,11151,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,10878,11755,3292,3366,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,3447,10622,10886,10930,11200,11278,11439,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,3352,10649,10679,10688,11229,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,3312,10682,10835,10906,11629,3770,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,4004,3894,11319,11655,11659,3736,10946,10952,3589,3738,10685,11023,11175,11205,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,4179,4079,3769,3716,4556,10301,10304,10643,10646,11475,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445])). % 159.04/158.81 cnf(11810,plain, % 159.04/158.81 (~P104(f331(f331(f244(a876),f331(a116,x118101)),x118101))), % 159.04/158.81 inference(rename_variables,[],[4539])). % 159.04/158.81 cnf(11813,plain, % 159.04/158.81 (~P104(f331(f331(f244(a876),f331(a116,x118131)),x118131))), % 159.04/158.81 inference(rename_variables,[],[4539])). % 159.04/158.81 cnf(11816,plain, % 159.04/158.81 (~P104(f331(f331(f244(a876),f331(a116,x118161)),x118161))), % 159.04/158.81 inference(rename_variables,[],[4539])). % 159.04/158.81 cnf(11819,plain, % 159.04/158.81 (~P104(f331(f331(f244(a876),f331(a116,x118191)),x118191))), % 159.04/158.81 inference(rename_variables,[],[4539])). % 159.04/158.81 cnf(11822,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x118221),x118221))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(11825,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x118251),x118251))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(11828,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x118281),x118281))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(11831,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x118311),x118311))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(11848,plain, % 159.04/158.81 (P104(f331(f331(f201(a24),x118481),x118481))), % 159.04/158.81 inference(rename_variables,[],[3289])). % 159.04/158.81 cnf(11853,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x118531),f331(f75(a1),x118531)))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,4502,4503,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,4483,10450,10541,3500,3204,2885,2886,2889,2892,2893,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2929,2930,2933,2945,2959,2965,2966,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,3217,11604,3223,10696,11610,3750,3119,3842,11380,3181,3148,3143,3127,3128,3761,3348,3216,3394,4551,3927,4494,10282,10447,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,3929,11001,11127,11178,4563,10933,11034,11132,11237,11259,11297,11303,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,3653,4359,4360,4491,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,3742,11595,3272,3370,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,4546,11478,11511,11546,11575,3729,3501,3877,3318,3320,3293,4531,4488,3484,4547,4068,11254,3612,3331,11724,4038,3939,10825,3990,3654,4027,3672,11004,11070,11151,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,3290,10731,10776,10779,10812,10838,10875,10913,3291,10406,10461,10667,10752,10878,11755,11764,3292,3366,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,3447,10622,10886,10930,11200,11278,11439,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,3352,10649,10679,10688,11229,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,3312,10682,10835,10906,11629,3770,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,4004,3894,11319,11655,11659,3736,10946,10952,3589,3738,10685,11023,11175,11205,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,4179,4079,3769,3716,4556,10301,10304,10643,10646,11475,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540])). % 159.04/158.81 cnf(11854,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x118541),x118541))), % 159.04/158.81 inference(rename_variables,[],[3291])). % 159.04/158.81 cnf(11865,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x118651),x118651))), % 159.04/158.81 inference(rename_variables,[],[3291])). % 159.04/158.81 cnf(11868,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(f884(f877(x118681),f877(x118681)),a871)),f157(x118681,x118682)),f306(f877(x118681),f156(x118681,x118682))))), % 159.04/158.81 inference(rename_variables,[],[3995])). % 159.04/158.81 cnf(11875,plain, % 159.04/158.81 (P104(f331(f331(f245(a876),x118751),f331(a116,x118751)))), % 159.04/158.81 inference(rename_variables,[],[3358])). % 159.04/158.81 cnf(11878,plain, % 159.04/158.81 (P104(f331(f331(f333(f885(x118781,a871)),x118782),f331(f307(x118781),x118782)))), % 159.04/158.81 inference(rename_variables,[],[3654])). % 159.04/158.81 cnf(11879,plain, % 159.04/158.81 (~E(f331(a116,x118791),x118791)), % 159.04/158.81 inference(rename_variables,[],[4468])). % 159.04/158.81 cnf(11884,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x118841),x118841))), % 159.04/158.81 inference(rename_variables,[],[3291])). % 159.04/158.81 cnf(11889,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x118891),x118891))), % 159.04/158.81 inference(rename_variables,[],[3291])). % 159.04/158.81 cnf(11896,plain, % 159.04/158.81 (P104(f331(f62(a876),f303(a876,x118961,x118962)))), % 159.04/158.81 inference(rename_variables,[],[3502])). % 159.04/158.81 cnf(11903,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x119031,a871)),x119032),f331(f331(f308(x119031),x119033),x119032)))), % 159.04/158.81 inference(rename_variables,[],[3736])). % 159.04/158.81 cnf(11906,plain, % 159.04/158.81 (P104(f331(f331(f201(a24),x119061),x119061))), % 159.04/158.81 inference(rename_variables,[],[3289])). % 159.04/158.81 cnf(11907,plain, % 159.04/158.81 (~E(f331(a116,x119071),x119071)), % 159.04/158.81 inference(rename_variables,[],[4468])). % 159.04/158.81 cnf(11918,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x119181),x119181))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(11919,plain, % 159.04/158.81 (~E(f331(a116,x119191),x119191)), % 159.04/158.81 inference(rename_variables,[],[4468])). % 159.04/158.81 cnf(11922,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x119221),x119221))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(11925,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x119251),x119251))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(11928,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x119281),x119281))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(11931,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x119311),x119311))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(11933,plain, % 159.04/158.81 (P104(f331(f331(f245(a876),f331(a108,f2(a1))),f331(a116,x119331)))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,4502,4503,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,4483,10450,10541,3500,3204,2885,2886,2889,2892,2893,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2929,2930,2933,2945,2959,2965,2966,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,3217,11604,3223,10696,11610,3750,3119,3842,11380,3181,3148,3143,3127,3128,3761,3348,3216,3394,4551,3927,4494,10282,10447,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,3929,11001,11127,11178,4563,10933,11034,11132,11237,11259,11297,11303,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,3653,4359,4360,4491,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,3742,11595,3272,3370,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,4546,11478,11511,11546,11575,3729,3501,3502,3877,3318,3320,3293,4531,4488,3484,4547,4068,11254,3612,3331,11724,4038,3995,3939,10825,3990,3654,4027,3672,11004,11070,11151,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,3292,3366,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,3447,10622,10886,10930,11200,11278,11439,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,3352,10649,10679,10688,11229,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,3312,10682,10835,10906,11629,3770,4118,4537,3817,4520,4523,3263,3267,4522,4521,4525,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,4004,3894,11319,11655,11659,3736,10946,10952,10967,3589,3738,10685,11023,11175,11205,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,4179,4079,3769,3716,4556,10301,10304,10643,10646,11475,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786])). % 159.04/158.81 cnf(11934,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x119341),x119341))), % 159.04/158.81 inference(rename_variables,[],[3291])). % 159.04/158.81 cnf(11937,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x119371),x119371))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(11940,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x119401),x119401))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(11941,plain, % 159.04/158.81 (P104(f331(f331(f245(a876),x119411),f331(a116,x119411)))), % 159.04/158.81 inference(rename_variables,[],[3358])). % 159.04/158.81 cnf(11950,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x119501),x119501))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(11951,plain, % 159.04/158.81 (~E(f331(a116,x119511),x119511)), % 159.04/158.81 inference(rename_variables,[],[4468])). % 159.04/158.81 cnf(11954,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x119541),x119541))), % 159.04/158.81 inference(rename_variables,[],[3291])). % 159.04/158.81 cnf(11971,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x119711),x119711))), % 159.04/158.81 inference(rename_variables,[],[3291])). % 159.04/158.81 cnf(11976,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),f2(a876)),x119761))), % 159.04/158.81 inference(rename_variables,[],[3312])). % 159.04/158.81 cnf(11993,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x119931),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(11996,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x119961),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(11999,plain, % 159.04/158.81 (~P104(f331(f331(f333(x119991),x119992),f194(f885(x119991,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12002,plain, % 159.04/158.81 (~P104(f331(f331(f333(x120021),x120022),f194(f885(x120021,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12005,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x120051),x120051))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(12007,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x120071),f331(f331(f105(a876),x120071),x120072)))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,4502,4503,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,4483,10450,10541,3500,3204,2885,2886,2889,2892,2893,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2929,2930,2933,2945,2959,2965,2966,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,3217,11604,3223,10696,11610,3231,3750,3987,3119,3842,11380,3181,3148,3143,3127,3128,3761,3348,3216,3394,4551,3927,4494,10282,10447,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,3929,11001,11127,11178,4563,10933,11034,11132,11237,11259,11297,11303,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,3653,4359,4360,4491,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,3742,11595,3272,3370,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,4546,11478,11511,11546,11575,3729,3501,3502,3877,3318,3320,3293,4531,4488,3484,4547,4068,11254,3612,3331,11724,4038,3995,3939,10825,3990,3654,4027,3672,11004,11070,11151,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,3447,10622,10886,10930,11200,11278,11439,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,3352,10649,10679,10688,11229,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,3312,10682,10835,10906,11629,11784,3770,4118,4537,3781,3817,4520,4523,3263,3267,4522,4521,4525,3788,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,4004,3894,11319,11655,11659,3736,10946,10952,10967,3589,3738,10685,11023,11175,11205,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,4179,4079,3769,3716,4556,10301,10304,10643,10646,11475,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026])). % 159.04/158.81 cnf(12008,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x120081),x120081))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(12011,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x120111),x120111))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(12014,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x120141),x120141))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(12017,plain, % 159.04/158.81 (P104(f331(f331(f245(a876),x120171),f331(a116,x120171)))), % 159.04/158.81 inference(rename_variables,[],[3358])). % 159.04/158.81 cnf(12024,plain, % 159.04/158.81 (P104(f331(f331(f333(f885(x120241,a871)),x120242),f331(f307(x120241),x120242)))), % 159.04/158.81 inference(rename_variables,[],[3654])). % 159.04/158.81 cnf(12028,plain, % 159.04/158.81 (~P104(f331(f331(f333(a876),f331(a116,f331(f141(a876,a876,f80(a876),f2(a876)),x120281))),f331(f172(a876),f331(f135(a876,x120282),x120281))))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,4502,4503,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,4483,10450,10541,3500,3204,2885,2886,2889,2892,2893,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2929,2930,2933,2945,2959,2965,2966,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,3217,11604,3223,10696,11610,3231,3750,3987,3119,3842,11380,3181,3148,3143,3127,3128,3761,3348,3216,3394,4551,3927,4494,10282,10447,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,3929,11001,11127,11178,4563,10933,11034,11132,11237,11259,11297,11303,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,3653,4359,4360,4491,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,3742,11595,3272,3370,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,4546,11478,11511,11546,11575,3729,3501,3502,3877,3318,3320,3293,4531,4488,3484,4547,4068,11254,3612,3331,11724,4038,3995,3939,10825,3990,3654,11878,4027,3672,11004,11070,11151,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,3447,10622,10886,10930,11200,11278,11439,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,3352,10649,10679,10688,11229,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,3312,10682,10835,10906,11629,11784,3770,4118,4537,3781,3817,4520,4523,3263,3267,4522,4521,4525,3788,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,4004,3894,11319,11655,11659,3736,10946,10952,10967,3589,3738,10685,11023,11175,11205,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,4179,4079,3769,3716,4556,10301,10304,10643,10646,11475,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120])). % 159.04/158.81 cnf(12029,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x120291,a871)),f331(f172(x120291),f331(f135(x120291,x120292),x120293))),f331(f172(x120291),x120293)))), % 159.04/158.81 inference(rename_variables,[],[3939])). % 159.04/158.81 cnf(12036,plain, % 159.04/158.81 (~P104(f331(f331(f333(x120361),x120362),f194(f885(x120361,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12041,plain, % 159.04/158.81 (E(f331(f195(f877(x120411)),f331(f167(x120411),x120412)),f331(f195(f877(x120411)),x120412))), % 159.04/158.81 inference(rename_variables,[],[3303])). % 159.04/158.81 cnf(12048,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x120481,a871)),x120482),f253(f885(x120481,a871))))), % 159.04/158.81 inference(rename_variables,[],[3672])). % 159.04/158.81 cnf(12049,plain, % 159.04/158.81 (~E(f331(a116,x120491),x120491)), % 159.04/158.81 inference(rename_variables,[],[4468])). % 159.04/158.81 cnf(12051,plain, % 159.04/158.81 (~P20(a872,f194(f885(f875(a872),a871)),f331(f331(f308(f875(a872)),f331(f331(f331(f92(a872),a328),f331(a28,a882)),f201(f331(a28,a882)))),f194(f885(f875(a872),a871))))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,4502,4503,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,4483,10450,10541,3500,3204,2885,2886,2889,2892,2893,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2929,2930,2933,2945,2959,2965,2966,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,3217,11604,3223,10696,11610,3231,3750,3987,3119,3842,11380,3181,3148,3143,3127,3128,3761,3303,3348,3216,3394,4551,3927,4494,10282,10447,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,3929,11001,11127,11178,4563,10933,11034,11132,11237,11259,11297,11303,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,3653,4359,4360,4491,3593,3805,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,3742,11595,3272,3370,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,4546,11478,11511,11546,11575,3729,3501,3502,3877,3318,3320,3293,4531,4488,3484,4547,4068,11254,3612,3331,11724,4038,3995,3939,10825,3990,3654,11878,4027,3672,11004,11070,11151,11211,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,3447,10622,10886,10930,11200,11278,11439,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,3352,10649,10679,10688,11229,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,3312,10682,10835,10906,11629,11784,3770,4118,4537,3781,3817,4520,4523,3263,3267,4522,4521,4525,3788,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,4004,3894,11319,11655,11659,3736,10946,10952,10967,3589,3738,10685,11023,11175,11205,11216,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,4179,4079,3769,3716,4556,10301,10304,10643,10646,11475,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174])). % 159.04/158.81 cnf(12052,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x120521,a871)),f194(f885(x120521,a871))),x120522))), % 159.04/158.81 inference(rename_variables,[],[3738])). % 159.04/158.81 cnf(12055,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x120551,a871)),f331(f172(x120551),f331(f135(x120551,x120552),x120553))),f331(f172(x120551),x120553)))), % 159.04/158.81 inference(rename_variables,[],[3939])). % 159.04/158.81 cnf(12061,plain, % 159.04/158.81 (P104(f331(f331(f245(a876),x120611),f331(a116,x120611)))), % 159.04/158.81 inference(rename_variables,[],[3358])). % 159.04/158.81 cnf(12069,plain, % 159.04/158.81 (~P104(f331(f331(f333(f884(x120691,x120691)),x120692),f152(x120691,f117(f885(x120691,a876)))))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,4502,4503,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,4483,10450,10541,3500,3204,2885,2886,2888,2889,2892,2893,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2929,2930,2933,2945,2959,2965,2966,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,3217,11604,3223,10696,11610,3231,3750,3987,3119,3842,11380,3181,3148,3143,3127,3128,3761,3303,3348,3216,3394,4551,3927,4494,10282,10447,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,3929,11001,11127,11178,4563,10933,11034,11132,11237,11259,11297,11303,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,3653,4359,4360,4491,3593,3805,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,3742,11595,3272,3370,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,4546,11478,11511,11546,11575,3729,3501,3502,3877,3318,3320,3293,4531,4488,3484,4547,4068,11254,3612,3331,11724,4038,3995,3939,10825,12029,3990,3654,11878,4027,3672,11004,11070,11151,11211,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,3447,10622,10886,10930,11200,11278,11439,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,3352,10649,10679,10688,11229,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,3312,10682,10835,10906,11629,11784,3770,4118,4537,3781,3817,4520,4523,3263,3267,4522,4521,4525,3788,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,4004,3894,11319,11655,11659,3736,10946,10952,10967,3589,3738,10685,11023,11175,11205,11216,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,4179,4079,3769,3716,4556,10301,10304,10643,10646,11475,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242])). % 159.04/158.81 cnf(12070,plain, % 159.04/158.81 (E(f331(f261(x120701,x120701),f262(x120701,x120702)),x120702)), % 159.04/158.81 inference(rename_variables,[],[3246])). % 159.04/158.81 cnf(12081,plain, % 159.04/158.81 (~P104(f331(f331(f244(a876),f331(a116,x120811)),x120811))), % 159.04/158.81 inference(rename_variables,[],[4539])). % 159.04/158.81 cnf(12082,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x120821),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(12085,plain, % 159.04/158.81 (P104(f331(f62(x120851),f194(f885(x120851,a871))))), % 159.04/158.81 inference(rename_variables,[],[3366])). % 159.04/158.81 cnf(12086,plain, % 159.04/158.81 (~P104(f331(f331(f333(x120861),x120862),f194(f885(x120861,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12091,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x120911),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(12092,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x120921),x120921))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(12097,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x120971,a871)),f331(f172(x120971),f170(x120971,x120972,x120973))),f331(f172(x120971),x120973)))), % 159.04/158.81 inference(rename_variables,[],[3990])). % 159.04/158.81 cnf(12100,plain, % 159.04/158.81 (P21(x121001,x121001,f5(x121001),x121002)), % 159.04/158.81 inference(rename_variables,[],[3531])). % 159.04/158.81 cnf(12105,plain, % 159.04/158.81 (P104(f331(f331(f333(f885(x121051,a871)),x121052),f331(f307(x121051),x121052)))), % 159.04/158.81 inference(rename_variables,[],[3654])). % 159.04/158.81 cnf(12112,plain, % 159.04/158.81 (P104(f331(f331(f201(a24),x121121),x121121))), % 159.04/158.81 inference(rename_variables,[],[3289])). % 159.04/158.81 cnf(12115,plain, % 159.04/158.81 (~P104(f331(f331(f333(x121151),x121152),f194(f885(x121151,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12118,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x121181,a871)),x121182),f331(f331(f308(x121181),x121183),x121182)))), % 159.04/158.81 inference(rename_variables,[],[3736])). % 159.04/158.81 cnf(12119,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x121191,a871)),x121192),f253(f885(x121191,a871))))), % 159.04/158.81 inference(rename_variables,[],[3672])). % 159.04/158.81 cnf(12126,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x121261),x121261))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12129,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x121291),x121291))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12132,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x121321),x121321))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12135,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x121351),x121351))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12138,plain, % 159.04/158.81 (P104(f331(f331(f245(a876),x121381),f331(a116,x121381)))), % 159.04/158.81 inference(rename_variables,[],[3358])). % 159.04/158.81 cnf(12141,plain, % 159.04/158.81 (P104(f331(f331(f245(a876),x121411),f331(a116,x121411)))), % 159.04/158.81 inference(rename_variables,[],[3358])). % 159.04/158.81 cnf(12144,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x121441,a871)),x121442),x121442))), % 159.04/158.81 inference(rename_variables,[],[3589])). % 159.04/158.81 cnf(12146,plain, % 159.04/158.81 (~P104(f331(f331(f244(a1),f331(f331(f22(a1),a83),a101)),f2(a1)))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,11060,4502,4503,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,4483,10450,10541,3500,3204,2885,2886,2888,2889,2892,2893,2895,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2929,2930,2933,2945,2959,2965,2966,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,3217,11604,3223,10696,11610,3231,3750,3987,3119,3842,11380,3181,3148,3143,3127,3128,3761,3303,3348,3216,3394,4551,3927,4494,10282,10447,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,3929,11001,11127,11178,4563,10933,11034,11132,11237,11259,11297,11303,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,3653,4359,4360,4491,3593,3805,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,3742,11595,3272,3370,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,4546,11478,11511,11546,11575,3729,3501,3502,3877,3318,3320,3293,4531,4488,3484,4547,4068,11254,3612,3331,11724,11727,4038,3995,3939,10825,12029,3990,11007,3654,11878,12024,4027,3672,11004,11070,11151,11211,12048,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,12085,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,3447,10622,10886,10930,11200,11278,11439,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,3352,10649,10679,10688,11229,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,3312,10682,10835,10906,11629,11784,3770,4118,4537,3781,3817,4520,4523,3263,3267,4522,4521,4525,3788,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,4004,3894,11319,11655,11659,3736,10946,10952,10967,11903,3589,11169,3738,10685,11023,11175,11205,11216,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,4179,4079,3769,3716,4556,10301,10304,10643,10646,11475,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633])). % 159.04/158.81 cnf(12151,plain, % 159.04/158.81 (P104(f331(f331(f333(f885(x121511,a871)),x121512),f331(f307(x121511),x121512)))), % 159.04/158.81 inference(rename_variables,[],[3654])). % 159.04/158.81 cnf(12160,plain, % 159.04/158.81 (~E(f331(a116,x121601),x121601)), % 159.04/158.81 inference(rename_variables,[],[4468])). % 159.04/158.81 cnf(12161,plain, % 159.04/158.81 (E(f331(f309(x121611,x121611,f5(x121611)),x121612),x121612)), % 159.04/158.81 inference(rename_variables,[],[3348])). % 159.04/158.81 cnf(12164,plain, % 159.04/158.81 (P34(x121641,x121642,f117(x121641),f117(x121641))), % 159.04/158.81 inference(rename_variables,[],[3540])). % 159.04/158.81 cnf(12167,plain, % 159.04/158.81 (~E(f331(a116,x121671),x121671)), % 159.04/158.81 inference(rename_variables,[],[4468])). % 159.04/158.81 cnf(12170,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x121701,a871)),f331(f172(x121701),f170(x121701,x121702,x121703))),f331(f172(x121701),x121703)))), % 159.04/158.81 inference(rename_variables,[],[3990])). % 159.04/158.81 cnf(12171,plain, % 159.04/158.81 (P104(f331(f62(x121711),f331(f172(x121711),x121712)))), % 159.04/158.81 inference(rename_variables,[],[3331])). % 159.04/158.81 cnf(12182,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x121821),x121821))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(12185,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x121851),x121851))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(12190,plain, % 159.04/158.81 (E(f331(f195(f877(x121901)),f331(f167(x121901),x121902)),f331(f195(f877(x121901)),x121902))), % 159.04/158.81 inference(rename_variables,[],[3303])). % 159.04/158.81 cnf(12193,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),f2(a876)),x121931))), % 159.04/158.81 inference(rename_variables,[],[3312])). % 159.04/158.81 cnf(12200,plain, % 159.04/158.81 (P30(a876,f331(f168(a876),f331(f331(f153(f877(x122001),a876),f195(f877(x122001))),f180(x122001,x122002))))), % 159.04/158.81 inference(rename_variables,[],[3852])). % 159.04/158.81 cnf(12203,plain, % 159.04/158.81 (P21(x122031,x122031,f5(x122031),x122032)), % 159.04/158.81 inference(rename_variables,[],[3531])). % 159.04/158.81 cnf(12206,plain, % 159.04/158.81 (P104(f331(f331(f333(f877(x122061)),f117(x122061)),f160(x122061,x122062)))), % 159.04/158.81 inference(rename_variables,[],[3492])). % 159.04/158.81 cnf(12209,plain, % 159.04/158.81 (~P104(f331(f331(f194(f885(x122091,f885(x122092,a871))),x122093),x122094))), % 159.04/158.81 inference(rename_variables,[],[4559])). % 159.04/158.81 cnf(12214,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x122141),x122141))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12215,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),f2(a876)),x122151))), % 159.04/158.81 inference(rename_variables,[],[3312])). % 159.04/158.81 cnf(12217,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),f2(a1)),f432(x122171,f194(f885(x122172,f885(x122173,a871))),f78(a1))))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,11060,12100,3540,4502,4503,4486,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,4483,10450,10541,3500,3204,2885,2886,2888,2889,2892,2893,2895,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2929,2930,2933,2945,2959,2965,2966,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,3217,11604,3223,10696,11610,3231,3750,3987,3119,3842,11380,3181,3148,3143,3127,3128,3133,3761,3163,3303,12041,3348,10828,3216,3394,4551,3927,4494,10282,10447,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,3929,11001,11127,11178,4563,10933,11034,11132,11237,11259,11297,11303,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,3653,4359,4360,4491,3593,3805,3852,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,3742,11595,3272,3370,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,4546,11478,11511,11546,11575,3729,3501,3502,3877,3318,3320,3293,4531,4488,3484,4547,4068,11254,3612,3331,11724,11727,4038,3995,3939,10825,12029,3990,11007,12097,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,12085,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,3447,10622,10886,10930,11200,11278,11439,11680,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,3352,10649,10679,10688,11229,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,3312,10682,10835,10906,11629,11784,11976,12193,3770,4118,4537,3781,3817,4520,4523,3263,3267,4522,4521,4525,3788,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,4004,3894,11319,11655,11659,3736,10946,10952,10967,11903,3589,11169,3738,10685,11023,11175,11205,11216,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,11464,12209,4179,4079,3769,3716,4556,10301,10304,10643,10646,11475,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948])). % 159.04/158.81 cnf(12218,plain, % 159.04/158.81 (~P104(f331(f331(f194(f885(x122181,f885(x122182,a871))),x122183),x122184))), % 159.04/158.81 inference(rename_variables,[],[4559])). % 159.04/158.81 cnf(12221,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(f884(f877(x122211),f877(x122211)),a871)),f157(x122211,x122212)),f306(f877(x122211),f156(x122211,x122212))))), % 159.04/158.81 inference(rename_variables,[],[3995])). % 159.04/158.81 cnf(12227,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x122271,a871)),f331(f172(x122271),f170(x122271,x122272,x122273))),f331(f172(x122271),x122273)))), % 159.04/158.81 inference(rename_variables,[],[3990])). % 159.04/158.81 cnf(12228,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x122281,a871)),f331(f172(x122281),f331(f135(x122281,x122282),x122283))),f331(f172(x122281),x122283)))), % 159.04/158.81 inference(rename_variables,[],[3939])). % 159.04/158.81 cnf(12231,plain, % 159.04/158.81 (~P104(f331(f331(f245(f885(x122311,a871)),x122312),f194(f885(x122311,a871))))), % 159.04/158.81 inference(rename_variables,[],[4552])). % 159.04/158.81 cnf(12234,plain, % 159.04/158.81 (P21(x122341,f880(x122341),f236(x122341),x122342)), % 159.04/158.81 inference(rename_variables,[],[3541])). % 159.04/158.81 cnf(12239,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x122391,a871)),f331(f309(x122392,x122391,x122393),f331(f310(x122392,x122391,x122393),x122394))),x122394))), % 159.04/158.81 inference(rename_variables,[],[4179])). % 159.04/158.81 cnf(12242,plain, % 159.04/158.81 (P104(f331(f62(f880(x122421)),f331(f309(x122422,f880(x122421),f331(f178(x122422,x122421),x122423)),f253(f885(x122422,a871)))))), % 159.04/158.81 inference(rename_variables,[],[4004])). % 159.04/158.81 cnf(12247,plain, % 159.04/158.81 (P104(f331(f331(f333(f877(x122471)),f117(x122471)),f160(x122471,x122472)))), % 159.04/158.81 inference(rename_variables,[],[3492])). % 159.04/158.81 cnf(12250,plain, % 159.04/158.81 (~P104(f331(f331(f333(f884(f877(x122501),f877(x122501))),f331(f331(f265(f877(x122501),f877(x122501)),x122502),f117(x122501))),f146(x122501,x122503)))), % 159.04/158.81 inference(rename_variables,[],[4563])). % 159.04/158.81 cnf(12253,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x122531),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(12255,plain, % 159.04/158.81 (~P104(f331(f62(x122551),f253(f885(x122551,a871))))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,11060,12100,3540,3541,3257,4502,4503,3157,4486,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,4483,10450,10541,3500,3204,2885,2886,2888,2889,2892,2893,2895,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2929,2930,2933,2945,2959,2965,2966,2967,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,3217,11604,3223,10696,11610,3231,3750,3987,3119,3842,11380,3181,3148,3143,3127,3128,3133,3761,3163,3303,12041,3348,10828,3216,3394,4551,3927,4494,10282,10447,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,3929,11001,11127,11178,4563,10933,11034,11132,11237,11259,11297,11303,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,12206,12247,3653,4359,4360,4491,3593,3805,3852,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,3742,11595,3272,3370,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,4546,11478,11511,11546,11575,3729,3501,3502,3877,3318,3320,3293,4531,4488,3484,4547,4068,11254,3612,3331,11724,11727,4038,3995,11868,12221,3939,10825,12029,12055,3990,11007,12097,12170,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,12085,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,3447,10622,10886,10930,11200,11278,11439,11680,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,3352,10649,10679,10688,11229,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,3312,10682,10835,10906,11629,11784,11976,12193,3770,4118,4537,3781,3817,4520,4523,3263,3267,4522,4521,4525,3788,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,4004,3894,11319,11655,11659,3736,10946,10952,10967,11903,3589,11169,12144,3738,10685,11023,11175,11205,11216,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,11464,12209,4179,10818,4079,3769,3716,4556,10301,10304,10643,10646,11475,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167])). % 159.04/158.81 cnf(12256,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x122561,a871)),x122562),x122562))), % 159.04/158.81 inference(rename_variables,[],[3589])). % 159.04/158.81 cnf(12259,plain, % 159.04/158.81 (~P104(f331(f331(f333(x122591),x122592),f194(f885(x122591,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12262,plain, % 159.04/158.81 (~P104(f331(f331(f194(f885(x122621,f885(x122622,a871))),x122623),x122624))), % 159.04/158.81 inference(rename_variables,[],[4559])). % 159.04/158.81 cnf(12265,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x122651,a871)),f331(f309(x122652,x122651,x122653),f331(f310(x122652,x122651,x122653),x122654))),x122654))), % 159.04/158.81 inference(rename_variables,[],[4179])). % 159.04/158.81 cnf(12266,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x122661,a871)),x122662),x122662))), % 159.04/158.81 inference(rename_variables,[],[3589])). % 159.04/158.81 cnf(12271,plain, % 159.04/158.81 (E(f331(f261(x122711,x122711),f262(x122711,x122712)),x122712)), % 159.04/158.81 inference(rename_variables,[],[3246])). % 159.04/158.81 cnf(12274,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x122741,a871)),f331(f172(x122741),f170(x122741,x122742,x122743))),f331(f172(x122741),x122743)))), % 159.04/158.81 inference(rename_variables,[],[3990])). % 159.04/158.81 cnf(12275,plain, % 159.04/158.81 (P104(f331(f62(x122751),f331(f172(x122751),x122752)))), % 159.04/158.81 inference(rename_variables,[],[3331])). % 159.04/158.81 cnf(12281,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x122811),x122811))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(12284,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x122841),x122841))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(12295,plain, % 159.04/158.81 (P21(x122951,x122951,f5(x122951),x122952)), % 159.04/158.81 inference(rename_variables,[],[3531])). % 159.04/158.81 cnf(12302,plain, % 159.04/158.81 (~P104(f331(f331(f333(x123021),x123022),f194(f885(x123021,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12305,plain, % 159.04/158.81 (P104(f331(f331(f333(f884(x123051,x123051)),f331(f331(f265(x123051,x123051),x123052),x123052)),f306(x123051,x123053)))), % 159.04/158.81 inference(rename_variables,[],[3929])). % 159.04/158.81 cnf(12308,plain, % 159.04/158.81 (~P104(f331(f331(f333(x123081),x123082),f194(f885(x123081,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12311,plain, % 159.04/158.81 (P104(f331(f331(f333(f884(x123111,x123111)),f331(f331(f265(x123111,x123111),x123112),x123112)),f306(x123111,x123113)))), % 159.04/158.81 inference(rename_variables,[],[3929])). % 159.04/158.81 cnf(12321,plain, % 159.04/158.81 (~E(f331(f331(f150(x123211),x123212),x123213),x123213)), % 159.04/158.81 inference(rename_variables,[],[4494])). % 159.04/158.81 cnf(12324,plain, % 159.04/158.81 (P104(f331(f331(f333(x123241),x123242),f253(f885(x123241,a871))))), % 159.04/158.81 inference(rename_variables,[],[3447])). % 159.04/158.81 cnf(12325,plain, % 159.04/158.81 (~E(f331(a116,x123251),x123251)), % 159.04/158.81 inference(rename_variables,[],[4468])). % 159.04/158.81 cnf(12328,plain, % 159.04/158.81 (P104(f331(f331(f333(f877(x123281)),f117(x123281)),f160(x123281,x123282)))), % 159.04/158.81 inference(rename_variables,[],[3492])). % 159.04/158.81 cnf(12329,plain, % 159.04/158.81 (~E(f331(f331(f150(x123291),x123292),x123293),f117(x123291))), % 159.04/158.81 inference(rename_variables,[],[4501])). % 159.04/158.81 cnf(12332,plain, % 159.04/158.81 (P104(f331(f331(f333(x123321),f331(x123322,x123323)),f331(f309(x123324,x123321,x123322),f253(f885(x123324,a871)))))), % 159.04/158.81 inference(rename_variables,[],[3894])). % 159.04/158.81 cnf(12333,plain, % 159.04/158.81 (P21(x123331,x123331,f5(x123331),x123332)), % 159.04/158.81 inference(rename_variables,[],[3531])). % 159.04/158.81 cnf(12336,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x123361,a871)),f194(f885(x123361,a871))),x123362))), % 159.04/158.81 inference(rename_variables,[],[3738])). % 159.04/158.81 cnf(12337,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x123371,a871)),x123372),x123372))), % 159.04/158.81 inference(rename_variables,[],[3589])). % 159.04/158.81 cnf(12340,plain, % 159.04/158.81 (P104(f331(f331(f333(x123401),f331(x123402,x123403)),f331(f309(x123404,x123401,x123402),f253(f885(x123404,a871)))))), % 159.04/158.81 inference(rename_variables,[],[3894])). % 159.04/158.81 cnf(12341,plain, % 159.04/158.81 (P21(x123411,x123411,f5(x123411),x123412)), % 159.04/158.81 inference(rename_variables,[],[3531])). % 159.04/158.81 cnf(12344,plain, % 159.04/158.81 (P104(f331(f331(f333(f884(f877(x123441),f877(x123441))),f331(f331(f265(f877(x123441),f877(x123441)),f117(x123441)),f117(x123441))),f157(x123441,x123442)))), % 159.04/158.81 inference(rename_variables,[],[4074])). % 159.04/158.81 cnf(12347,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x123471),x123471))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(12348,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x123481),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(12354,plain, % 159.04/158.81 (E(f331(f331(f126(x123541),x123542),f117(x123541)),x123542)), % 159.04/158.81 inference(rename_variables,[],[3217])). % 159.04/158.81 cnf(12355,plain, % 159.04/158.81 (~E(f331(f331(f150(x123551),x123552),x123553),x123553)), % 159.04/158.81 inference(rename_variables,[],[4494])). % 159.04/158.81 cnf(12358,plain, % 159.04/158.81 (E(f331(f331(f126(x123581),x123582),f117(x123581)),x123582)), % 159.04/158.81 inference(rename_variables,[],[3217])). % 159.04/158.81 cnf(12359,plain, % 159.04/158.81 (~E(f331(f331(f150(x123591),x123592),x123593),x123593)), % 159.04/158.81 inference(rename_variables,[],[4494])). % 159.04/158.81 cnf(12362,plain, % 159.04/158.81 (E(f331(f331(f126(x123621),x123622),f117(x123621)),x123622)), % 159.04/158.81 inference(rename_variables,[],[3217])). % 159.04/158.81 cnf(12371,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x123711,a871)),x123712),f253(f885(x123711,a871))))), % 159.04/158.81 inference(rename_variables,[],[3672])). % 159.04/158.81 cnf(12375,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x123751),x123751))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(12376,plain, % 159.04/158.81 (~E(f331(a116,x123761),x123761)), % 159.04/158.81 inference(rename_variables,[],[4468])). % 159.04/158.81 cnf(12379,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x123791,a871)),f194(f885(x123791,a871))),x123792))), % 159.04/158.81 inference(rename_variables,[],[3738])). % 159.04/158.81 cnf(12382,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x123821),x123821))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12385,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x123851,a871)),x123852),x123852))), % 159.04/158.81 inference(rename_variables,[],[3589])). % 159.04/158.81 cnf(12390,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x123901,a871)),x123902),f331(f331(f308(x123901),x123903),x123902)))), % 159.04/158.81 inference(rename_variables,[],[3736])). % 159.04/158.81 cnf(12393,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x123931,a871)),x123932),x123932))), % 159.04/158.81 inference(rename_variables,[],[3589])). % 159.04/158.81 cnf(12394,plain, % 159.04/158.81 (~P104(f331(f331(f333(x123941),x123942),f194(f885(x123941,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12397,plain, % 159.04/158.81 (~P104(f331(f331(f333(x123971),x123972),f194(f885(x123971,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12405,plain, % 159.04/158.81 (~P104(f331(f331(f244(f885(f884(x124051,x124051),a871)),f331(f309(f884(x124051,x124051),f884(x124051,x124051),f5(f884(x124051,x124051))),f253(f885(f884(x124051,x124051),a871)))),f331(f309(f884(x124051,x124051),f884(x124051,x124051),f5(f884(x124051,x124051))),f194(f885(f884(x124051,x124051),a871)))))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,3540,3541,3257,4502,4503,3157,4486,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,4483,10450,10541,3347,3500,3204,2885,2886,2888,2889,2892,2893,2895,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2928,2929,2930,2933,2945,2959,2965,2966,2967,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,3217,11604,12354,12358,3223,10696,11610,3231,3750,3987,3119,4480,3842,11380,3181,3148,3143,3127,3128,3133,3761,3163,3303,12041,3348,10828,12161,3215,3216,3394,4551,3927,4494,10282,10447,11243,12321,12355,4501,12329,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,12344,3929,11001,11127,11178,12305,12311,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3805,3852,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,3742,11595,3272,3370,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,4546,11478,11511,11546,11575,3729,3501,3502,3877,3318,3320,3293,4531,4488,3681,3484,4547,4068,11254,3612,3331,11724,11727,12171,4038,3995,11868,12221,3939,10825,12029,12055,3990,11007,12097,12170,12227,12274,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,12085,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,3447,10622,10886,10930,11200,11278,11439,11680,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,3352,10649,10679,10688,11229,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,3312,10682,10835,10906,11629,11784,11976,12193,3770,4118,4537,3781,3817,4520,4523,3263,3267,4522,4521,4525,3788,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,3894,11319,11655,11659,11721,12332,3736,10946,10952,10967,11903,12118,3589,11169,12144,12256,12266,12337,12385,3738,10685,11023,11175,11205,11216,12052,12336,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,11464,12209,12218,4179,10818,12239,4079,3769,3716,4556,10301,10304,10643,10646,11475,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186])). % 159.04/158.81 cnf(12406,plain, % 159.04/158.81 (P21(x124061,x124061,f5(x124061),x124062)), % 159.04/158.81 inference(rename_variables,[],[3531])). % 159.04/158.81 cnf(12409,plain, % 159.04/158.81 (E(f331(f195(f877(x124091)),f331(f167(x124091),x124092)),f331(f195(f877(x124091)),x124092))), % 159.04/158.81 inference(rename_variables,[],[3303])). % 159.04/158.81 cnf(12412,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x124121),x124121))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(12413,plain, % 159.04/158.81 (P104(f331(f253(f885(x124131,a871)),x124132))), % 159.04/158.81 inference(rename_variables,[],[3352])). % 159.04/158.81 cnf(12416,plain, % 159.04/158.81 (~P104(f331(f331(f333(x124161),x124162),f194(f885(x124161,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12419,plain, % 159.04/158.81 (P104(f331(f331(f333(x124191),f331(x124192,x124193)),f331(f309(x124194,x124191,x124192),f253(f885(x124194,a871)))))), % 159.04/158.81 inference(rename_variables,[],[3894])). % 159.04/158.81 cnf(12420,plain, % 159.04/158.81 (P104(f331(f331(f333(f884(x124201,x124201)),f331(f331(f265(x124201,x124201),x124202),x124202)),f306(x124201,x124203)))), % 159.04/158.81 inference(rename_variables,[],[3929])). % 159.04/158.81 cnf(12423,plain, % 159.04/158.81 (P104(f331(f331(f333(f884(x124231,x124231)),f331(f331(f265(x124231,x124231),x124232),x124232)),f306(x124231,x124233)))), % 159.04/158.81 inference(rename_variables,[],[3929])). % 159.04/158.81 cnf(12426,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x124261),x124261))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12427,plain, % 159.04/158.81 (P104(f331(f253(f885(x124271,a871)),x124272))), % 159.04/158.81 inference(rename_variables,[],[3352])). % 159.04/158.81 cnf(12430,plain, % 159.04/158.81 (P104(f331(f62(x124301),f331(f172(x124301),x124302)))), % 159.04/158.81 inference(rename_variables,[],[3331])). % 159.04/158.81 cnf(12435,plain, % 159.04/158.81 (P104(f331(f331(f333(f884(f877(x124351),f877(x124351))),f331(f331(f265(f877(x124351),f877(x124351)),f117(x124351)),f117(x124351))),f331(f331(f287(f877(x124351),f877(x124351),f877(x124351)),f157(x124351,x124352)),f157(x124351,x124352))))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,3540,3541,3257,4502,4503,3157,4486,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,4483,10450,10541,3347,3500,3204,2885,2886,2888,2889,2892,2893,2895,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2928,2929,2930,2933,2945,2959,2965,2966,2967,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3119,4480,3842,11380,3181,3148,3143,3127,3128,3133,3761,3163,3303,12041,12190,3348,10828,12161,3215,3216,3394,4551,3927,4494,10282,10447,11243,12321,12355,4501,12329,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,12344,3929,11001,11127,11178,12305,12311,12420,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3805,3852,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,3742,11595,3272,3370,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,4546,11478,11511,11546,11575,3729,3501,3502,3877,3318,3320,3293,4531,4488,3681,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,4038,3995,11868,12221,3939,10825,12029,12055,3990,11007,12097,12170,12227,12274,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,12085,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,3447,10622,10886,10930,11200,11278,11439,11680,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,3352,10649,10679,10688,11229,11779,12413,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,3312,10682,10835,10906,11629,11784,11976,12193,3770,4118,4537,3781,3817,4520,4523,3263,3267,4522,4521,4525,3788,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,3894,11319,11655,11659,11721,12332,12340,3736,10946,10952,10967,11903,12118,3589,11169,12144,12256,12266,12337,12385,3738,10685,11023,11175,11205,11216,12052,12336,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,11464,12209,12218,4179,10818,12239,4079,3769,3716,4556,10301,10304,10643,10646,11475,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430])). % 159.04/158.81 cnf(12437,plain, % 159.04/158.81 (P104(f331(f331(f333(f884(x124371,x124371)),f331(f331(f265(x124371,x124371),x124372),x124372)),f331(f331(f287(x124371,x124371,x124371),f306(x124371,x124373)),f306(x124371,f306(x124371,x124373)))))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,3540,3541,3257,4502,4503,3157,4486,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,4483,10450,10541,3347,3500,3204,2885,2886,2888,2889,2892,2893,2895,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2928,2929,2930,2933,2945,2959,2965,2966,2967,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3119,4480,3842,11380,3181,3148,3143,3127,3128,3133,3761,3163,3303,12041,12190,3348,10828,12161,3215,3216,3394,4551,3927,4494,10282,10447,11243,12321,12355,4501,12329,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,12344,3929,11001,11127,11178,12305,12311,12420,12423,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3805,3852,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,3742,11595,3272,3370,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,4546,11478,11511,11546,11575,3729,3501,3502,3877,3318,3320,3293,4531,4488,3681,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,4038,3995,11868,12221,3939,10825,12029,12055,3990,11007,12097,12170,12227,12274,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,12085,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,3447,10622,10886,10930,11200,11278,11439,11680,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,3352,10649,10679,10688,11229,11779,12413,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,3312,10682,10835,10906,11629,11784,11976,12193,3770,4118,4537,3781,3817,4520,4523,3263,3267,4522,4521,4525,3788,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,3894,11319,11655,11659,11721,12332,12340,3736,10946,10952,10967,11903,12118,3589,11169,12144,12256,12266,12337,12385,3738,10685,11023,11175,11205,11216,12052,12336,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,11464,12209,12218,4179,10818,12239,4079,3769,3716,4556,10301,10304,10643,10646,11475,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437])). % 159.04/158.81 cnf(12440,plain, % 159.04/158.81 (~P104(f331(f331(f194(f885(x124401,f885(x124402,a871))),x124403),x124404))), % 159.04/158.81 inference(rename_variables,[],[4559])). % 159.04/158.81 cnf(12443,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x124431,a871)),x124432),f253(f885(x124431,a871))))), % 159.04/158.81 inference(rename_variables,[],[3672])). % 159.04/158.81 cnf(12446,plain, % 159.04/158.81 (P104(f331(f331(f333(f884(x124461,x124461)),f331(f331(f265(x124461,x124461),x124462),x124462)),f306(x124461,x124463)))), % 159.04/158.81 inference(rename_variables,[],[3929])). % 159.04/158.81 cnf(12449,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),f331(f331(f80(a876),x124491),x124492)),x124492))), % 159.04/158.81 inference(rename_variables,[],[4556])). % 159.04/158.81 cnf(12450,plain, % 159.04/158.81 (P104(f331(f331(f245(a876),x124501),f331(a116,x124501)))), % 159.04/158.81 inference(rename_variables,[],[3358])). % 159.04/158.81 cnf(12453,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x124531,a871)),f331(f172(x124531),f331(f135(x124531,x124532),x124533))),f331(f172(x124531),x124533)))), % 159.04/158.81 inference(rename_variables,[],[3939])). % 159.04/158.81 cnf(12456,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x124561,a871)),x124562),f253(f885(x124561,a871))))), % 159.04/158.81 inference(rename_variables,[],[3672])). % 159.04/158.81 cnf(12459,plain, % 159.04/158.81 (E(f331(f261(x124591,x124591),f262(x124591,x124592)),x124592)), % 159.04/158.81 inference(rename_variables,[],[3246])). % 159.04/158.81 cnf(12466,plain, % 159.04/158.81 (P104(f331(f331(f333(f884(f884(f877(x124661),f877(x124661)),f884(f877(x124661),f877(x124661)))),f570(f306(f884(f877(x124661),f877(x124661)),x124662),f146(x124661,x124663),f884(f877(x124661),f877(x124661)))),f306(f884(f877(x124661),f877(x124661)),x124662)))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,3540,3541,3257,4502,4503,3157,4486,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,4483,10450,10541,3347,3500,3204,2885,2886,2888,2889,2892,2893,2895,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2928,2929,2930,2933,2945,2959,2965,2966,2967,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3628,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3119,4480,3842,11380,3181,3148,3143,3127,3128,3133,3761,3163,3303,12041,12190,3348,10828,12161,3215,3216,3394,4551,3927,4494,10282,10447,11243,12321,12355,4501,12329,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,12344,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3805,3852,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,3742,11595,3272,3370,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,4546,11478,11511,11546,11575,3729,3501,3502,3877,3318,3320,3293,4531,4488,3681,4212,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,4038,3995,11868,12221,3939,10825,12029,12055,12228,3990,11007,12097,12170,12227,12274,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,12085,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,3447,10622,10886,10930,11200,11278,11439,11680,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,3352,10649,10679,10688,11229,11779,12413,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,3312,10682,10835,10906,11629,11784,11976,12193,3770,4118,4537,3781,3817,4520,4523,3263,3267,4522,4521,4525,3788,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,3894,11319,11655,11659,11721,12332,12340,3736,10946,10952,10967,11903,12118,3589,11169,12144,12256,12266,12337,12385,4072,3738,10685,11023,11175,11205,11216,12052,12336,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,11464,12209,12218,12262,4179,10818,12239,4079,3769,3716,4556,10301,10304,10643,10646,11475,11660,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510])). % 159.04/158.81 cnf(12470,plain, % 159.04/158.81 (~P104(f331(f331(f333(x124701),x124702),f194(f885(x124701,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12471,plain, % 159.04/158.81 (P104(f331(f331(f333(f884(f877(x124711),f877(x124711))),f331(f331(f265(f877(x124711),f877(x124711)),f117(x124711)),f117(x124711))),f157(x124711,x124712)))), % 159.04/158.81 inference(rename_variables,[],[4074])). % 159.04/158.81 cnf(12473,plain, % 159.04/158.81 (P104(f331(f331(f333(f884(a876,a876)),f331(f331(f265(a876,a876),f331(a116,x124731)),f331(a116,f331(a116,x124731)))),f331(f331(f287(a876,a876,a876),f306(a876,a321)),f306(a876,f306(a876,a321)))))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,3540,3541,3257,4502,4503,3157,4486,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,4483,10450,10541,3347,3500,3204,2885,2886,2888,2889,2892,2893,2895,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2928,2929,2930,2933,2945,2959,2965,2966,2967,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3628,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3119,4480,3842,11380,3181,3148,3143,3127,3128,3133,3761,3163,3303,12041,12190,3348,10828,12161,3215,3216,3394,4551,3927,4494,10282,10447,11243,12321,12355,4501,12329,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,12344,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3805,3852,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,3742,11595,3272,3370,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,4546,11478,11511,11546,11575,3729,3501,3502,3877,3318,3320,3293,4531,4488,3681,4212,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,4038,3995,11868,12221,3939,10825,12029,12055,12228,3990,11007,12097,12170,12227,12274,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,12085,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,3447,10622,10886,10930,11200,11278,11439,11680,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,3352,10649,10679,10688,11229,11779,12413,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,3312,10682,10835,10906,11629,11784,11976,12193,3770,4118,4537,3781,3817,4520,4523,3263,3267,4522,4521,4525,3788,3602,4218,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,3894,11319,11655,11659,11721,12332,12340,3736,10946,10952,10967,11903,12118,3589,11169,12144,12256,12266,12337,12385,4072,3738,10685,11023,11175,11205,11216,12052,12336,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,11464,12209,12218,12262,4179,10818,12239,4079,3769,3716,4556,10301,10304,10643,10646,11475,11660,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538])). % 159.04/158.81 cnf(12476,plain, % 159.04/158.81 (~P104(f331(f331(f333(x124761),x124762),f194(f885(x124761,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12479,plain, % 159.04/158.81 (P33(x124791,x124792,f117(x124791))), % 159.04/158.81 inference(rename_variables,[],[3222])). % 159.04/158.81 cnf(12482,plain, % 159.04/158.81 (E(f331(f195(f877(x124821)),f331(f167(x124821),x124822)),f331(f195(f877(x124821)),x124822))), % 159.04/158.81 inference(rename_variables,[],[3303])). % 159.04/158.81 cnf(12485,plain, % 159.04/158.81 (~P104(f331(f331(f333(x124851),x124852),f194(f885(x124851,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12489,plain, % 159.04/158.81 (~P104(f331(f331(f333(f884(f877(x124891),f877(x124891))),f331(f331(f265(f877(x124891),f877(x124891)),x124892),x124892)),f146(x124891,f152(x124891,f117(f885(x124891,a876))))))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,3540,3541,3257,3222,4502,4503,3157,4486,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,4483,10450,10541,3347,3500,3204,2885,2886,2888,2889,2892,2893,2895,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2928,2929,2930,2933,2945,2959,2965,2966,2967,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,3075,4464,3628,3129,11330,3332,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3119,4480,3842,11380,3181,3148,3143,3127,3128,3133,3761,3163,3303,12041,12190,12409,3348,10828,12161,3215,3216,3394,4551,3927,4494,10282,10447,11243,12321,12355,4501,12329,3279,11700,4540,10995,11065,11289,11292,3395,3178,3179,10349,10652,3452,3097,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3805,3852,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,3742,11595,3272,3370,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,4546,11478,11511,11546,11575,3729,3501,3502,3877,3318,3320,3293,4531,4488,3681,4212,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,4038,3995,11868,12221,3939,10825,12029,12055,12228,3990,11007,12097,12170,12227,12274,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,12085,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,3447,10622,10886,10930,11200,11278,11439,11680,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,3352,10649,10679,10688,11229,11779,12413,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,3312,10682,10835,10906,11629,11784,11976,12193,3770,4118,4537,3781,3817,4520,4523,3263,3267,4522,4521,4525,3788,3602,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,3894,11319,11655,11659,11721,12332,12340,3736,10946,10952,10967,11903,12118,3589,11169,12144,12256,12266,12337,12385,4072,3738,10685,11023,11175,11205,11216,12052,12336,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,11464,12209,12218,12262,4179,10818,12239,4079,3769,3716,4556,10301,10304,10643,10646,11475,11660,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909])). % 159.04/158.81 cnf(12491,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x124911),x124911))), % 159.04/158.81 inference(rename_variables,[],[4530])). % 159.04/158.81 cnf(12494,plain, % 159.04/158.81 (P104(f331(f331(f333(x124941),x124942),f253(f885(x124941,a871))))), % 159.04/158.81 inference(rename_variables,[],[3447])). % 159.04/158.81 cnf(12500,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x125001,a871)),x125002),x125002))), % 159.04/158.81 inference(rename_variables,[],[3589])). % 159.04/158.81 cnf(12503,plain, % 159.04/158.81 (~P104(f331(f331(f333(x125031),x125032),f194(f885(x125031,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12506,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),f2(a1)),f331(f331(f255(a1),f331(f75(a1),x125061)),x125062)))), % 159.04/158.81 inference(rename_variables,[],[3769])). % 159.04/158.81 cnf(12509,plain, % 159.04/158.81 (~E(f331(a116,x125091),x125091)), % 159.04/158.81 inference(rename_variables,[],[4468])). % 159.04/158.81 cnf(12511,plain, % 159.04/158.81 (E(f331(f261(x125111,x125111),f262(x125111,x125112)),x125112)), % 159.04/158.81 inference(rename_variables,[],[3246])). % 159.04/158.81 cnf(12513,plain, % 159.04/158.81 (P20(x125131,x125132,f194(f885(f875(x125131),a871)))), % 159.04/158.81 inference(rename_variables,[],[3346])). % 159.04/158.81 cnf(12519,plain, % 159.04/158.81 (E(f331(f261(x125191,x125191),f262(x125191,x125192)),x125192)), % 159.04/158.81 inference(rename_variables,[],[3246])). % 159.04/158.81 cnf(12521,plain, % 159.04/158.81 (E(f331(f261(x125211,x125211),f262(x125211,x125212)),x125212)), % 159.04/158.81 inference(rename_variables,[],[3246])). % 159.04/158.81 cnf(12525,plain, % 159.04/158.81 (P31(x125251,f2(a876),f331(f331(f331(f92(x125251),x125252),f331(a28,x125253)),x125254))), % 159.04/158.81 inference(rename_variables,[],[3665])). % 159.04/158.81 cnf(12533,plain, % 159.04/158.81 (P49(x125331,x125332,f262(x125331,x125332))), % 159.04/158.81 inference(rename_variables,[],[3256])). % 159.04/158.81 cnf(12535,plain, % 159.04/158.81 (P49(x125351,x125352,f262(x125351,x125352))), % 159.04/158.81 inference(rename_variables,[],[3256])). % 159.04/158.81 cnf(12539,plain, % 159.04/158.81 (E(f331(f261(x125391,x125391),f262(x125391,x125392)),x125392)), % 159.04/158.81 inference(rename_variables,[],[3246])). % 159.04/158.81 cnf(12541,plain, % 159.04/158.81 (E(f331(f261(x125411,x125411),f262(x125411,x125412)),x125412)), % 159.04/158.81 inference(rename_variables,[],[3246])). % 159.04/158.81 cnf(12546,plain, % 159.04/158.81 (P21(x125461,x125461,f5(x125461),x125462)), % 159.04/158.81 inference(rename_variables,[],[3531])). % 159.04/158.81 cnf(12548,plain, % 159.04/158.81 (P21(x125481,x125481,f5(x125481),x125482)), % 159.04/158.81 inference(rename_variables,[],[3531])). % 159.04/158.81 cnf(12560,plain, % 159.04/158.81 (E(f331(f261(x125601,x125601),f262(x125601,x125602)),x125602)), % 159.04/158.81 inference(rename_variables,[],[3246])). % 159.04/158.81 cnf(12562,plain, % 159.04/158.81 (E(f331(f261(x125621,x125621),f262(x125621,x125622)),x125622)), % 159.04/158.81 inference(rename_variables,[],[3246])). % 159.04/158.81 cnf(12571,plain, % 159.04/158.81 (E(f331(f261(x125711,x125711),f262(x125711,x125712)),x125712)), % 159.04/158.81 inference(rename_variables,[],[3246])). % 159.04/158.81 cnf(12574,plain, % 159.04/158.81 (E(f194(f885(f884(x125741,x125741),a871)),f262(x125741,f194(f885(x125741,a871))))), % 159.04/158.81 inference(rename_variables,[],[3361])). % 159.04/158.81 cnf(12576,plain, % 159.04/158.81 (E(f331(f261(x125761,x125761),f262(x125761,x125762)),x125762)), % 159.04/158.81 inference(rename_variables,[],[3246])). % 159.04/158.81 cnf(12582,plain, % 159.04/158.81 (P53(x125821,f194(f885(x125821,a871)),x125822)), % 159.04/158.81 inference(rename_variables,[],[3310])). % 159.04/158.81 cnf(12586,plain, % 159.04/158.81 (P39(x125861,f152(x125861,x125862))), % 159.04/158.81 inference(rename_variables,[],[3157])). % 159.04/158.81 cnf(12592,plain, % 159.04/158.81 (P43(x125921,x125922,x125923,x125924,f194(f885(x125921,a871)),x125924)), % 159.04/158.81 inference(rename_variables,[],[4242])). % 159.04/158.81 cnf(12595,plain, % 159.04/158.81 (P43(x125951,x125952,x125953,x125954,f194(f885(x125951,a871)),x125954)), % 159.04/158.81 inference(rename_variables,[],[4242])). % 159.04/158.81 cnf(12599,plain, % 159.04/158.81 (P52(x125991,x125991,f262(x125991,x125992))), % 159.04/158.81 inference(rename_variables,[],[3257])). % 159.04/158.81 cnf(12605,plain, % 159.04/158.81 (P34(x126051,x126052,f117(x126051),f117(x126051))), % 159.04/158.81 inference(rename_variables,[],[3540])). % 159.04/158.81 cnf(12607,plain, % 159.04/158.81 (P34(x126071,x126072,f117(x126071),f117(x126071))), % 159.04/158.81 inference(rename_variables,[],[3540])). % 159.04/158.81 cnf(12611,plain, % 159.04/158.81 (P11(x126111,f885(x126111,a871),f308(x126111))), % 159.04/158.81 inference(rename_variables,[],[3260])). % 159.04/158.81 cnf(12618,plain, % 159.04/158.81 (E(f331(f261(x126181,x126181),f262(x126181,x126182)),x126182)), % 159.04/158.81 inference(rename_variables,[],[3246])). % 159.04/158.81 cnf(12623,plain, % 159.04/158.81 (P40(x126231,f197(x126231))), % 159.04/158.81 inference(rename_variables,[],[3116])). % 159.04/158.81 cnf(12630,plain, % 159.04/158.81 (P104(f331(f331(f245(a876),f2(a876)),f331(a116,x126301)))), % 159.04/158.81 inference(rename_variables,[],[3370])). % 159.04/158.81 cnf(12631,plain, % 159.04/158.81 (~E(f331(a116,x126311),x126311)), % 159.04/158.81 inference(rename_variables,[],[4468])). % 159.04/158.81 cnf(12637,plain, % 159.04/158.81 (P104(f331(f331(f245(a876),x126371),f331(a116,x126371)))), % 159.04/158.81 inference(rename_variables,[],[3358])). % 159.04/158.81 cnf(12642,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x126421),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(12644,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),a83),f2(a1)))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,4483,10450,10541,3347,3310,12582,3500,3204,2885,2886,2888,2889,2892,2893,2895,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2928,2929,2930,2933,2945,2959,2965,2966,2967,2990,3025,3033,3034,3041,3043,3044,3045,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3670,3127,3128,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,4501,12329,3279,11700,4540,10995,11065,11289,11292,3690,3395,3613,3361,12574,3178,3179,10349,10652,3452,3171,3097,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3805,3852,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,3742,11595,3272,3370,11715,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,4546,11478,11511,11546,11575,3729,3501,3502,3877,3318,3320,3293,4531,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,4038,3995,11868,12221,3939,10825,12029,12055,12228,3990,11007,12097,12170,12227,12274,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,12085,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,3447,10622,10886,10930,11200,11278,11439,11680,12324,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,3352,10649,10679,10688,11229,11779,12413,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,3312,10682,10835,10906,11629,11784,11976,12193,3770,4118,4537,3781,3817,4520,4523,3263,3267,4522,4521,4525,3788,3602,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,3894,11319,11655,11659,11721,12332,12340,3736,10946,10952,10967,11903,12118,3589,11169,12144,12256,12266,12337,12385,12393,4072,3738,10685,11023,11175,11205,11216,12052,12336,3557,10605,10608,10691,10862,4558,11592,4548,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,4079,3769,3716,4556,10301,10304,10643,10646,11475,11660,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473])). % 159.04/158.81 cnf(12651,plain, % 159.04/158.81 (~P104(f331(f331(f245(a1),f331(f104(a1),x126511)),f331(f79(a1),f331(f104(a1),x126512))))), % 159.04/158.81 inference(rename_variables,[],[4553])). % 159.04/158.81 cnf(12661,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x126611),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(12664,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x126641),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(12667,plain, % 159.04/158.81 (P104(f331(f62(a876),f303(a876,x126671,x126672)))), % 159.04/158.81 inference(rename_variables,[],[3502])). % 159.04/158.81 cnf(12670,plain, % 159.04/158.81 (P104(f331(f62(a876),f303(a876,x126701,x126702)))), % 159.04/158.81 inference(rename_variables,[],[3502])). % 159.04/158.81 cnf(12673,plain, % 159.04/158.81 (P104(f331(f62(a876),f303(a876,x126731,x126732)))), % 159.04/158.81 inference(rename_variables,[],[3502])). % 159.04/158.81 cnf(12676,plain, % 159.04/158.81 (P104(f331(f62(a876),f303(a876,x126761,x126762)))), % 159.04/158.81 inference(rename_variables,[],[3502])). % 159.04/158.81 cnf(12683,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),f331(f79(a1),f331(f104(a1),x126831))),f331(f104(a1),x126832)))), % 159.04/158.81 inference(rename_variables,[],[3770])). % 159.04/158.81 cnf(12685,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),f2(a1)),f331(f107(a1),f2(a1))))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,4483,10450,10541,3347,3310,12582,3500,3204,2885,2886,2888,2889,2892,2893,2895,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2928,2929,2930,2933,2945,2959,2965,2966,2967,2990,3025,3033,3034,3039,3041,3043,3044,3045,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3670,3127,3128,3106,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,4501,12329,3279,11700,4540,10995,11065,11289,11292,3690,3395,3613,3361,12574,3178,3179,10349,10652,3452,3171,3097,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3805,3852,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,3742,11595,3272,3370,11715,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,12642,12661,4546,11478,11511,11546,11575,3729,3501,3502,11896,12667,12670,12673,3877,3318,3320,3293,4531,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,4038,3995,11868,12221,3939,10825,12029,12055,12228,3990,11007,12097,12170,12227,12274,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,12085,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,3447,10622,10886,10930,11200,11278,11439,11680,12324,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,3352,10649,10679,10688,11229,11779,12413,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,3312,10682,10835,10906,11629,11784,11976,12193,3770,11730,4118,4537,3781,3817,4520,4523,4524,3263,3267,4522,4521,4525,3788,3602,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,3894,11319,11655,11659,11721,12332,12340,3736,10946,10952,10967,11903,12118,3589,11169,12144,12256,12266,12337,12385,12393,4072,3738,10685,11023,11175,11205,11216,12052,12336,3557,10605,10608,10691,10862,3559,4558,11592,4548,4553,12651,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,4079,3769,3716,3717,4556,10301,10304,10643,10646,11475,11660,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473,5549,5646,5677,5711,5727,5729,5735,5798,5799,5800,5801,5807,5840,5973,6009])). % 159.04/158.81 cnf(12688,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x126881),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(12689,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x126891),x126891))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12696,plain, % 159.04/158.81 (P104(f331(f331(f245(a876),x126961),f331(a116,x126961)))), % 159.04/158.81 inference(rename_variables,[],[3358])). % 159.04/158.81 cnf(12698,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),f2(a1)),a83))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,4483,10450,10541,3347,3310,12582,3500,3204,2885,2886,2888,2889,2892,2893,2895,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2928,2929,2930,2933,2945,2959,2965,2966,2967,2990,3025,3033,3034,3039,3041,3043,3044,3045,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3670,3127,3128,3106,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,4501,12329,3279,11700,4540,10995,11065,11289,11292,3690,3395,3613,3361,12574,3178,3179,10349,10652,3452,3171,3097,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3631,3805,3852,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,12637,3742,11595,3272,3370,11715,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,12642,12661,12664,4546,11478,11511,11546,11575,3729,3501,3502,11896,12667,12670,12673,3877,3318,3320,3293,4531,3177,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,4038,3995,11868,12221,3939,10825,12029,12055,12228,3990,11007,12097,12170,12227,12274,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,12426,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,12085,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,3447,10622,10886,10930,11200,11278,11439,11680,12324,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,3352,10649,10679,10688,11229,11779,12413,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,3312,10682,10835,10906,11629,11784,11976,12193,3770,11730,4118,3507,4537,3781,3817,4520,4523,4524,3263,3267,4522,4521,4525,3788,3602,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,3894,11319,11655,11659,11721,12332,12340,3736,10946,10952,10967,11903,12118,3589,11169,12144,12256,12266,12337,12385,12393,4072,3738,10685,11023,11175,11205,11216,12052,12336,3557,10605,10608,10691,10862,3559,4558,11592,4548,4553,12651,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,4079,3769,3716,3717,4556,10301,10304,10643,10646,11475,11660,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473,5549,5646,5677,5711,5727,5729,5735,5798,5799,5800,5801,5807,5840,5973,6009,6018,6041,6078,6113])). % 159.04/158.81 cnf(12701,plain, % 159.04/158.81 (P104(f331(f331(f333(x127011),f331(x127012,x127013)),f331(f309(x127014,x127011,x127012),f253(f885(x127014,a871)))))), % 159.04/158.81 inference(rename_variables,[],[3894])). % 159.04/158.81 cnf(12702,plain, % 159.04/158.81 (~E(f331(a116,x127021),f2(a876))), % 159.04/158.81 inference(rename_variables,[],[4478])). % 159.04/158.81 cnf(12704,plain, % 159.04/158.81 (~P104(f331(f331(f245(a1),f2(a1)),f331(f107(a1),f2(a1))))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,4483,10450,10541,3347,3310,12582,3500,3204,4478,2885,2886,2888,2889,2892,2893,2895,2896,2897,2904,2907,2908,2910,2911,2912,2914,2915,2928,2929,2930,2933,2945,2959,2965,2966,2967,2990,3025,3033,3034,3039,3041,3043,3044,3045,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3670,3127,3128,3106,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,4501,12329,3279,11700,4540,10995,11065,11289,11292,3690,3395,3613,3361,12574,3178,3179,10349,10652,3452,3171,3097,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3631,3805,3852,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,12637,3742,11595,3272,3370,11715,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,12642,12661,12664,4546,11478,11511,11546,11575,3729,3501,3502,11896,12667,12670,12673,3877,3318,3320,3293,4531,3177,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,4038,3995,11868,12221,3939,10825,12029,12055,12228,3990,11007,12097,12170,12227,12274,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,12426,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,3292,3366,12085,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,3447,10622,10886,10930,11200,11278,11439,11680,12324,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,3352,10649,10679,10688,11229,11779,12413,3390,3384,3809,3747,10328,11598,11628,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,3312,10682,10835,10906,11629,11784,11976,12193,3770,11730,4118,3507,4537,3781,3817,4520,4523,4524,3263,3267,4522,4521,4525,3788,3602,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,12242,3894,11319,11655,11659,11721,12332,12340,12419,3736,10946,10952,10967,11903,12118,3589,11169,12144,12256,12266,12337,12385,12393,4072,3738,10685,11023,11175,11205,11216,12052,12336,3557,10605,10608,10691,10862,3559,4558,11592,4548,4553,12651,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,4079,3769,3716,3717,4556,10301,10304,10643,10646,11475,11660,4557,11572,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473,5549,5646,5677,5711,5727,5729,5735,5798,5799,5800,5801,5807,5840,5973,6009,6018,6041,6078,6113,6118,6264])). % 159.04/158.81 cnf(12707,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x127071),x127071))), % 159.04/158.81 inference(rename_variables,[],[3291])). % 159.04/158.81 cnf(12710,plain, % 159.04/158.81 (P104(f331(f62(a876),f303(a876,x127101,x127102)))), % 159.04/158.81 inference(rename_variables,[],[3502])). % 159.04/158.81 cnf(12713,plain, % 159.04/158.81 (P104(f331(f62(a876),f303(a876,x127131,x127132)))), % 159.04/158.81 inference(rename_variables,[],[3502])). % 159.04/158.81 cnf(12716,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x127161),x127161))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12717,plain, % 159.04/158.81 (~E(f331(a116,x127171),f2(a876))), % 159.04/158.81 inference(rename_variables,[],[4478])). % 159.04/158.81 cnf(12734,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),f45(a876,x127341,x127342)),x127341))), % 159.04/158.81 inference(rename_variables,[],[3747])). % 159.04/158.81 cnf(12739,plain, % 159.04/158.81 (P104(f331(f331(f245(a876),x127391),f331(a116,x127391)))), % 159.04/158.81 inference(rename_variables,[],[3358])). % 159.04/158.81 cnf(12742,plain, % 159.04/158.81 (P104(f331(f331(f245(a876),x127421),f331(a116,x127421)))), % 159.04/158.81 inference(rename_variables,[],[3358])). % 159.04/158.81 cnf(12743,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x127431),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(12752,plain, % 159.04/158.81 (~P104(f331(f331(f245(a1),f331(f104(a1),x127521)),f2(a1)))), % 159.04/158.81 inference(rename_variables,[],[4546])). % 159.04/158.81 cnf(12753,plain, % 159.04/158.81 (P104(f331(f253(f885(x127531,a871)),x127532))), % 159.04/158.81 inference(rename_variables,[],[3352])). % 159.04/158.81 cnf(12756,plain, % 159.04/158.81 (~P104(f331(f331(f245(a1),f331(f104(a1),x127561)),f2(a1)))), % 159.04/158.81 inference(rename_variables,[],[4546])). % 159.04/158.81 cnf(12757,plain, % 159.04/158.81 (P104(f331(f253(f885(x127571,a871)),x127572))), % 159.04/158.81 inference(rename_variables,[],[3352])). % 159.04/158.81 cnf(12760,plain, % 159.04/158.81 (P104(f331(f253(f885(x127601,a871)),x127602))), % 159.04/158.81 inference(rename_variables,[],[3352])). % 159.04/158.81 cnf(12771,plain, % 159.04/158.81 (~P104(f331(f331(f333(x127711),x127712),f194(f885(x127711,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12772,plain, % 159.04/158.81 (P104(f331(f62(x127721),f194(f885(x127721,a871))))), % 159.04/158.81 inference(rename_variables,[],[3366])). % 159.04/158.81 cnf(12781,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),f2(a876)),x127811))), % 159.04/158.81 inference(rename_variables,[],[3312])). % 159.04/158.81 cnf(12784,plain, % 159.04/158.81 (P104(f331(f331(f245(a876),x127841),f331(a116,x127841)))), % 159.04/158.81 inference(rename_variables,[],[3358])). % 159.04/158.81 cnf(12785,plain, % 159.04/158.81 (~E(f331(a116,x127851),x127851)), % 159.04/158.81 inference(rename_variables,[],[4468])). % 159.04/158.81 cnf(12788,plain, % 159.04/158.81 (~P104(f331(f331(f333(x127881),x127882),f194(f885(x127881,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12791,plain, % 159.04/158.81 (~P104(f331(f331(f333(x127911),x127912),f194(f885(x127911,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12794,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x127941),x127941))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12802,plain, % 159.04/158.81 (P104(f331(f331(f245(a876),x128021),f331(a116,x128021)))), % 159.04/158.81 inference(rename_variables,[],[3358])). % 159.04/158.81 cnf(12805,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x128051),x128051))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12810,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x128101),x128101))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12813,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x128131),x128131))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12816,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x128161),x128161))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12819,plain, % 159.04/158.81 (E(f331(f331(f22(f885(x128191,a871)),f194(f885(x128191,a871))),x128192),f194(f885(x128191,a871)))), % 159.04/158.81 inference(rename_variables,[],[3561])). % 159.04/158.81 cnf(12820,plain, % 159.04/158.81 (P104(f331(f62(x128201),f194(f885(x128201,a871))))), % 159.04/158.81 inference(rename_variables,[],[3366])). % 159.04/158.81 cnf(12823,plain, % 159.04/158.81 (E(f331(f331(f22(f885(x128231,a871)),f194(f885(x128231,a871))),x128232),f194(f885(x128231,a871)))), % 159.04/158.81 inference(rename_variables,[],[3561])). % 159.04/158.81 cnf(12824,plain, % 159.04/158.81 (P104(f331(f62(x128241),f194(f885(x128241,a871))))), % 159.04/158.81 inference(rename_variables,[],[3366])). % 159.04/158.81 cnf(12827,plain, % 159.04/158.81 (E(f331(f331(f22(f885(x128271,a871)),f194(f885(x128271,a871))),x128272),f194(f885(x128271,a871)))), % 159.04/158.81 inference(rename_variables,[],[3561])). % 159.04/158.81 cnf(12828,plain, % 159.04/158.81 (P104(f331(f62(x128281),f194(f885(x128281,a871))))), % 159.04/158.81 inference(rename_variables,[],[3366])). % 159.04/158.81 cnf(12831,plain, % 159.04/158.81 (E(f331(f331(f22(f885(x128311,a871)),f194(f885(x128311,a871))),x128312),f194(f885(x128311,a871)))), % 159.04/158.81 inference(rename_variables,[],[3561])). % 159.04/158.81 cnf(12832,plain, % 159.04/158.81 (P104(f331(f62(x128321),f194(f885(x128321,a871))))), % 159.04/158.81 inference(rename_variables,[],[3366])). % 159.04/158.81 cnf(12836,plain, % 159.04/158.81 (E(f331(f261(x128361,x128361),f262(x128361,x128362)),x128362)), % 159.04/158.81 inference(rename_variables,[],[3246])). % 159.04/158.81 cnf(12841,plain, % 159.04/158.81 (E(f331(f331(f22(f885(x128411,a871)),f194(f885(x128411,a871))),x128412),f194(f885(x128411,a871)))), % 159.04/158.81 inference(rename_variables,[],[3561])). % 159.04/158.81 cnf(12842,plain, % 159.04/158.81 (P104(f331(f62(x128421),f194(f885(x128421,a871))))), % 159.04/158.81 inference(rename_variables,[],[3366])). % 159.04/158.81 cnf(12846,plain, % 159.04/158.81 (P104(f331(f62(x128461),f194(f885(x128461,a871))))), % 159.04/158.81 inference(rename_variables,[],[3366])). % 159.04/158.81 cnf(12849,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x128491),x128491))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12853,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x128531),x128531))), % 159.04/158.81 inference(rename_variables,[],[3291])). % 159.04/158.81 cnf(12860,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x128601),x128601))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12873,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x128731),x128731))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12876,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x128761),x128761))), % 159.04/158.81 inference(rename_variables,[],[3291])). % 159.04/158.81 cnf(12883,plain, % 159.04/158.81 (~P104(f331(f331(f333(x128831),x128832),f194(f885(x128831,a871))))), % 159.04/158.81 inference(rename_variables,[],[4542])). % 159.04/158.81 cnf(12894,plain, % 159.04/158.81 (P104(f331(f331(f333(x128941),x128942),f253(f885(x128941,a871))))), % 159.04/158.81 inference(rename_variables,[],[3447])). % 159.04/158.81 cnf(12898,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x128981,a871)),x128982),f253(f885(x128981,a871))))), % 159.04/158.81 inference(rename_variables,[],[3672])). % 159.04/158.81 cnf(12901,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x129011,a871)),f331(f172(x129011),f331(f135(x129011,x129012),x129013))),f331(f172(x129011),x129013)))), % 159.04/158.81 inference(rename_variables,[],[3939])). % 159.04/158.81 cnf(12907,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x129071),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(12908,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x129081),x129081))), % 159.04/158.81 inference(rename_variables,[],[3291])). % 159.04/158.81 cnf(12912,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x129121),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(12913,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x129131),x129131))), % 159.04/158.81 inference(rename_variables,[],[3291])). % 159.04/158.81 cnf(12922,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x129221),x129221))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12929,plain, % 159.04/158.81 (E(f331(f331(f16(x129291,x129292),x129293),x129294),x129293)), % 159.04/158.81 inference(rename_variables,[],[3279])). % 159.04/158.81 cnf(12932,plain, % 159.04/158.81 (P104(f331(f331(f244(f885(x129321,a871)),f331(f172(x129321),f170(x129321,x129322,x129323))),f331(f172(x129321),x129323)))), % 159.04/158.81 inference(rename_variables,[],[3990])). % 159.04/158.81 cnf(12934,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),f464(f331(x129341,f2(a876)),x129341,f2(a876))),f2(a876)))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,12631,4483,10450,10541,3347,3310,12582,3500,3204,4478,12702,2885,2886,2888,2889,2892,2893,2895,2896,2897,2903,2904,2907,2908,2910,2911,2912,2914,2915,2922,2928,2929,2930,2933,2945,2953,2959,2965,2966,2967,2990,2998,3002,3003,3004,3016,3025,3033,3034,3039,3041,3042,3043,3044,3045,3046,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,12618,3614,3868,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3670,3127,3128,3106,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,4501,12329,3279,11700,11703,4540,10995,11065,11289,11292,3690,3395,3613,3361,12574,3178,3179,10349,10652,3452,3171,3097,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3631,3805,3561,12819,12823,12827,12831,12841,3852,12200,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,12637,12696,12739,12742,12784,12802,3742,11595,3272,3370,11715,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,12642,12661,12664,12688,12743,12907,12912,4546,11478,11511,11546,11575,12752,12756,3729,3501,3502,11896,12667,12670,12673,12676,12710,3877,3318,3320,3293,4531,3177,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,12430,4038,3995,11868,12221,3939,10825,12029,12055,12228,12453,3990,11007,12097,12170,12227,12274,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,12426,12689,12716,12794,12805,12810,12813,12816,12849,12860,12873,12922,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,11971,12707,12853,12876,12908,12913,3292,3366,12085,12772,12820,12824,12828,12832,12842,12846,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,12491,3447,10622,10886,10930,11200,11278,11439,11680,12324,12494,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,12503,12771,12788,12791,3352,10649,10679,10688,11229,11779,12413,12427,12753,12757,12760,3390,3384,3809,3747,10328,11598,11628,12734,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,3312,10682,10835,10906,11629,11784,11976,12193,12215,3770,11730,12683,4118,3507,4537,3781,3817,4520,4523,4524,3263,3267,4522,4521,4525,3788,3602,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,12242,3894,11319,11655,11659,11721,12332,12340,12419,3736,10946,10952,10967,11903,12118,3589,11169,12144,12256,12266,12337,12385,12393,3626,4072,3738,10685,11023,11175,11205,11216,12052,12336,3557,10605,10608,10691,10862,3559,4558,11592,4548,4553,12651,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,4079,3769,12506,3716,3717,4556,10301,10304,10643,10646,11475,11660,12449,4557,11572,11665,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473,5549,5646,5677,5711,5727,5729,5735,5798,5799,5800,5801,5807,5840,5973,6009,6018,6041,6078,6113,6118,6264,6269,6304,6305,6325,6328,6330,6337,6338,6339,6340,6341,6342,6343,6344,6423,6491,6492,6578,6611,6612,6653,6654,6793,6808,6880,6881,6888,6910,6933,6941,6943,6990,7015,7016,7034,7035,7070,7114,7115,7212,7273,7274,7275,7276,7290,7323,7379,7380,7389,7396,7397,7409,7441,7442,7443,7444,7588,7589,7591,7593,7599,7600,7809,7815,7816,7825,7864,7943,7985,8043,8064,8065,8080,8139,8241,8310,8311,8313,8348,8411])). % 159.04/158.81 cnf(12936,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x129361),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(12937,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x129371),x129371))), % 159.04/158.81 inference(rename_variables,[],[3291])). % 159.04/158.81 cnf(12941,plain, % 159.04/158.81 (~P104(f331(f331(f245(a876),x129411),f2(a876)))), % 159.04/158.81 inference(rename_variables,[],[4534])). % 159.04/158.81 cnf(12942,plain, % 159.04/158.81 (P104(f331(f331(f244(a1),x129421),x129421))), % 159.04/158.81 inference(rename_variables,[],[3291])). % 159.04/158.81 cnf(12946,plain, % 159.04/158.81 (~P104(f331(f331(f244(f885(a876,a871)),f301(a876,f331(a116,x129461),f331(a116,x129461))),f301(a876,x129462,x129461)))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,12631,4483,10450,10541,3347,3310,12582,3500,3204,4478,12702,2885,2886,2888,2889,2892,2893,2895,2896,2897,2903,2904,2907,2908,2910,2911,2912,2914,2915,2922,2928,2929,2930,2933,2945,2953,2959,2965,2966,2967,2990,2998,3002,3003,3004,3016,3025,3033,3034,3039,3041,3042,3043,3044,3045,3046,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,12618,3614,3868,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3670,3127,3128,3106,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,4501,12329,3279,11700,11703,4540,10995,11065,11289,11292,3690,3395,3613,3361,12574,3178,3179,10349,10652,3452,3171,3097,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3631,3805,3561,12819,12823,12827,12831,12841,3852,12200,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,12637,12696,12739,12742,12784,12802,3742,11595,3272,3370,11715,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,12642,12661,12664,12688,12743,12907,12912,12936,4546,11478,11511,11546,11575,12752,12756,3729,3501,3502,11896,12667,12670,12673,12676,12710,3877,3318,3320,3293,4531,3177,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,12430,4038,3995,11868,12221,3939,10825,12029,12055,12228,12453,3990,11007,12097,12170,12227,12274,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,12426,12689,12716,12794,12805,12810,12813,12816,12849,12860,12873,12922,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,11971,12707,12853,12876,12908,12913,12937,3292,3366,12085,12772,12820,12824,12828,12832,12842,12846,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,12491,3447,10622,10886,10930,11200,11278,11439,11680,12324,12494,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,12503,12771,12788,12791,3352,10649,10679,10688,11229,11779,12413,12427,12753,12757,12760,3390,3384,3809,3747,10328,11598,11628,12734,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,3312,10682,10835,10906,11629,11784,11976,12193,12215,3770,11730,12683,4118,3507,4537,3781,3817,4520,4523,4524,3263,3267,4522,4521,4525,3788,3602,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,12242,3894,11319,11655,11659,11721,12332,12340,12419,3736,10946,10952,10967,11903,12118,3589,11169,12144,12256,12266,12337,12385,12393,3626,4072,3738,10685,11023,11175,11205,11216,12052,12336,3557,10605,10608,10691,10862,3559,4558,11592,4548,4553,12651,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,4079,3769,12506,3716,3717,4556,10301,10304,10643,10646,11475,11660,12449,4557,11572,11665,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473,5549,5646,5677,5711,5727,5729,5735,5798,5799,5800,5801,5807,5840,5973,6009,6018,6041,6078,6113,6118,6264,6269,6304,6305,6325,6328,6330,6337,6338,6339,6340,6341,6342,6343,6344,6423,6491,6492,6578,6611,6612,6653,6654,6793,6808,6880,6881,6888,6910,6933,6941,6943,6990,7015,7016,7034,7035,7070,7114,7115,7212,7273,7274,7275,7276,7290,7323,7379,7380,7389,7396,7397,7409,7441,7442,7443,7444,7588,7589,7591,7593,7599,7600,7809,7815,7816,7825,7864,7943,7985,8043,8064,8065,8080,8139,8241,8310,8311,8313,8348,8411,8412,8484,8505])). % 159.04/158.81 cnf(12947,plain, % 159.04/158.81 (P104(f331(f331(f244(a876),x129471),x129471))), % 159.04/158.81 inference(rename_variables,[],[3290])). % 159.04/158.81 cnf(12949,plain, % 159.04/158.81 (~P104(f331(f331(f245(f885(a876,a871)),f301(a876,f331(a116,x129491),f331(a116,x129491))),f301(a876,x129492,x129491)))), % 159.04/158.81 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,12631,4483,10450,10541,3347,3310,12582,3500,3204,4478,12702,2885,2886,2888,2889,2892,2893,2895,2896,2897,2903,2904,2907,2908,2910,2911,2912,2914,2915,2922,2928,2929,2930,2933,2945,2953,2959,2965,2966,2967,2990,2998,3002,3003,3004,3016,3025,3033,3034,3039,3041,3042,3043,3044,3045,3046,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,12618,3614,3868,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3670,3127,3128,3106,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,4501,12329,3279,11700,11703,4540,10995,11065,11289,11292,3690,3395,3613,3361,12574,3178,3179,10349,10652,3452,3171,3097,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3631,3805,3561,12819,12823,12827,12831,12841,3852,12200,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,12637,12696,12739,12742,12784,12802,3742,11595,3272,3370,11715,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,12642,12661,12664,12688,12743,12907,12912,12936,4546,11478,11511,11546,11575,12752,12756,3729,3501,3502,11896,12667,12670,12673,12676,12710,3877,3318,3320,3293,4531,3177,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,12430,4038,3995,11868,12221,3939,10825,12029,12055,12228,12453,3990,11007,12097,12170,12227,12274,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,12426,12689,12716,12794,12805,12810,12813,12816,12849,12860,12873,12922,12947,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,11971,12707,12853,12876,12908,12913,12937,3292,3366,12085,12772,12820,12824,12828,12832,12842,12846,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,12491,3447,10622,10886,10930,11200,11278,11439,11680,12324,12494,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,12503,12771,12788,12791,3352,10649,10679,10688,11229,11779,12413,12427,12753,12757,12760,3390,3384,3809,3747,10328,11598,11628,12734,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,3312,10682,10835,10906,11629,11784,11976,12193,12215,3770,11730,12683,4118,3507,4537,3781,3817,4520,4523,4524,3263,3267,4522,4521,4525,3788,3602,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,12242,3894,11319,11655,11659,11721,12332,12340,12419,3736,10946,10952,10967,11903,12118,3589,11169,12144,12256,12266,12337,12385,12393,3626,4072,3738,10685,11023,11175,11205,11216,12052,12336,3557,10605,10608,10691,10862,3559,4558,11592,4548,4553,12651,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,4079,3769,12506,3716,3717,4556,10301,10304,10643,10646,11475,11660,12449,4557,11572,11665,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473,5549,5646,5677,5711,5727,5729,5735,5798,5799,5800,5801,5807,5840,5973,6009,6018,6041,6078,6113,6118,6264,6269,6304,6305,6325,6328,6330,6337,6338,6339,6340,6341,6342,6343,6344,6423,6491,6492,6578,6611,6612,6653,6654,6793,6808,6880,6881,6888,6910,6933,6941,6943,6990,7015,7016,7034,7035,7070,7114,7115,7212,7273,7274,7275,7276,7290,7323,7379,7380,7389,7396,7397,7409,7441,7442,7443,7444,7588,7589,7591,7593,7599,7600,7809,7815,7816,7825,7864,7943,7985,8043,8064,8065,8080,8139,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506])). % 159.19/158.81 cnf(12950,plain, % 159.19/158.81 (P104(f331(f331(f244(a876),x129501),x129501))), % 159.19/158.81 inference(rename_variables,[],[3290])). % 159.19/158.81 cnf(12953,plain, % 159.19/158.81 (~P104(f331(f331(f244(a876),f331(a116,x129531)),x129531))), % 159.19/158.81 inference(rename_variables,[],[4539])). % 159.19/158.81 cnf(12958,plain, % 159.19/158.81 (E(x129581,f828(f331(f5(x129582),f331(f5(x129582),x129581)),f5(x129582),x129582,x129582))), % 159.19/158.81 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,12548,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,12631,4483,10450,10541,3347,3310,12582,3500,3204,4478,12702,2885,2886,2888,2889,2892,2893,2895,2896,2897,2903,2904,2907,2908,2910,2911,2912,2914,2915,2922,2928,2929,2930,2933,2945,2953,2959,2965,2966,2967,2990,2998,3002,3003,3004,3016,3025,3033,3034,3039,3041,3042,3043,3044,3045,3046,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,12618,3614,3868,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3118,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3670,3127,3128,3106,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,4501,12329,3279,11700,11703,4540,10995,11065,11289,11292,3690,3395,3613,3361,12574,3178,3179,10349,10652,3452,3171,3097,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3631,3805,3561,12819,12823,12827,12831,12841,3852,12200,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,12637,12696,12739,12742,12784,12802,3742,11595,3272,3370,11715,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,12642,12661,12664,12688,12743,12907,12912,12936,4546,11478,11511,11546,11575,12752,12756,3729,3501,3502,11896,12667,12670,12673,12676,12710,3877,3318,3320,3293,4531,3177,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,12430,4038,3995,11868,12221,3939,10825,12029,12055,12228,12453,3990,11007,12097,12170,12227,12274,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,4552,10773,11143,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,12426,12689,12716,12794,12805,12810,12813,12816,12849,12860,12873,12922,12947,12950,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,11971,12707,12853,12876,12908,12913,12937,3292,3366,12085,12772,12820,12824,12828,12832,12842,12846,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,12491,3447,10622,10886,10930,11200,11278,11439,11680,12324,12494,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,12503,12771,12788,12791,3352,10649,10679,10688,11229,11779,12413,12427,12753,12757,12760,3390,3384,3809,3747,10328,11598,11628,12734,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,12953,3312,10682,10835,10906,11629,11784,11976,12193,12215,3770,11730,12683,4118,3507,4537,3781,3817,4520,4523,4524,3263,3267,4522,4521,4525,3788,3602,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,12242,3894,11319,11655,11659,11721,12332,12340,12419,12701,3736,10946,10952,10967,11903,12118,3589,11169,12144,12256,12266,12337,12385,12393,3626,4072,3738,10685,11023,11175,11205,11216,12052,12336,3557,10605,10608,10691,10862,3559,4558,11592,4548,4553,12651,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,4079,3769,12506,3716,3717,4556,10301,10304,10643,10646,11475,11660,12449,4557,11572,11665,3740,10611,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473,5549,5646,5677,5711,5727,5729,5735,5798,5799,5800,5801,5807,5840,5973,6009,6018,6041,6078,6113,6118,6264,6269,6304,6305,6325,6328,6330,6337,6338,6339,6340,6341,6342,6343,6344,6423,6491,6492,6578,6611,6612,6653,6654,6793,6808,6880,6881,6888,6910,6933,6941,6943,6990,7015,7016,7034,7035,7070,7114,7115,7212,7273,7274,7275,7276,7290,7323,7379,7380,7389,7396,7397,7409,7441,7442,7443,7444,7588,7589,7591,7593,7599,7600,7809,7815,7816,7825,7864,7943,7985,8043,8064,8065,8080,8139,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8651])). % 159.19/158.81 cnf(12959,plain, % 159.19/158.81 (P104(f331(f331(f333(x129591),f331(x129592,x129593)),f331(f309(x129594,x129591,x129592),f253(f885(x129594,a871)))))), % 159.19/158.81 inference(rename_variables,[],[3894])). % 159.19/158.81 cnf(12960,plain, % 159.19/158.81 (P21(x129601,x129601,f5(x129601),x129602)), % 159.19/158.81 inference(rename_variables,[],[3531])). % 159.19/158.81 cnf(12964,plain, % 159.19/158.81 (P104(f331(f331(f333(x129641),x129642),f253(f885(x129641,a871))))), % 159.19/158.81 inference(rename_variables,[],[3447])). % 159.19/158.81 cnf(12965,plain, % 159.19/158.81 (~P104(f331(f331(f333(x129651),x129652),f194(f885(x129651,a871))))), % 159.19/158.81 inference(rename_variables,[],[4542])). % 159.19/158.81 cnf(12969,plain, % 159.19/158.81 (P104(f331(f331(f244(f885(x129691,a871)),x129692),f253(f885(x129691,a871))))), % 159.19/158.81 inference(rename_variables,[],[3672])). % 159.19/158.81 cnf(12970,plain, % 159.19/158.81 (P21(x129701,x129701,f5(x129701),x129702)), % 159.19/158.81 inference(rename_variables,[],[3531])). % 159.19/158.81 cnf(12974,plain, % 159.19/158.81 (P104(f331(f331(f244(f885(x129741,a871)),x129742),f253(f885(x129741,a871))))), % 159.19/158.81 inference(rename_variables,[],[3672])). % 159.19/158.81 cnf(12975,plain, % 159.19/158.81 (P21(x129751,x129751,f5(x129751),x129752)), % 159.19/158.81 inference(rename_variables,[],[3531])). % 159.19/158.81 cnf(12979,plain, % 159.19/158.81 (P21(x129791,x129791,f5(x129791),x129792)), % 159.19/158.81 inference(rename_variables,[],[3531])). % 159.19/158.81 cnf(12982,plain, % 159.19/158.81 (~P104(f331(f331(f245(f885(x129821,a871)),x129822),f194(f885(x129821,a871))))), % 159.19/158.81 inference(rename_variables,[],[4552])). % 159.19/158.81 cnf(12985,plain, % 159.19/158.81 (P21(x129851,x129851,f5(x129851),x129852)), % 159.19/158.81 inference(rename_variables,[],[3531])). % 159.19/158.81 cnf(12988,plain, % 159.19/158.81 (P21(x129881,x129881,f5(x129881),x129882)), % 159.19/158.81 inference(rename_variables,[],[3531])). % 159.19/158.81 cnf(12999,plain, % 159.19/158.81 (P104(f331(f331(f244(f885(x129991,a871)),f194(f885(x129991,a871))),x129992))), % 159.19/158.81 inference(rename_variables,[],[3738])). % 159.19/158.81 cnf(13003,plain, % 159.19/158.81 (E(f331(f261(x130031,x130031),f262(x130031,x130032)),x130032)), % 159.19/158.81 inference(rename_variables,[],[3246])). % 159.19/158.81 cnf(13007,plain, % 159.19/158.81 (~P104(f331(f331(f333(x130071),x130072),f194(f885(x130071,a871))))), % 159.19/158.81 inference(rename_variables,[],[4542])). % 159.19/158.81 cnf(13011,plain, % 159.19/158.81 (P104(f331(f331(f333(x130111),f331(x130112,x130113)),f331(f309(x130114,x130111,x130112),f253(f885(x130114,a871)))))), % 159.19/158.81 inference(rename_variables,[],[3894])). % 159.19/158.81 cnf(13012,plain, % 159.19/158.81 (P21(x130121,x130121,f5(x130121),x130122)), % 159.19/158.81 inference(rename_variables,[],[3531])). % 159.19/158.81 cnf(13015,plain, % 159.19/158.81 (P104(f331(f331(f333(x130151),x130152),f253(f885(x130151,a871))))), % 159.19/158.81 inference(rename_variables,[],[3447])). % 159.19/158.81 cnf(13022,plain, % 159.19/158.81 (~P104(f331(f331(f333(x130221),x130222),f194(f885(x130221,a871))))), % 159.19/158.81 inference(rename_variables,[],[4542])). % 159.19/158.81 cnf(13025,plain, % 159.19/158.81 (~P104(f331(f331(f333(x130251),x130252),f194(f885(x130251,a871))))), % 159.19/158.81 inference(rename_variables,[],[4542])). % 159.19/158.81 cnf(13029,plain, % 159.19/158.81 (E(f331(f331(f16(x130291,x130292),x130293),x130294),x130293)), % 159.19/158.81 inference(rename_variables,[],[3279])). % 159.19/158.81 cnf(13032,plain, % 159.19/158.81 (P104(f331(f331(f245(a876),x130321),f331(a116,x130321)))), % 159.19/158.81 inference(rename_variables,[],[3358])). % 159.19/158.81 cnf(13033,plain, % 159.19/158.81 (~E(f331(a116,x130331),x130331)), % 159.19/158.81 inference(rename_variables,[],[4468])). % 159.19/158.81 cnf(13036,plain, % 159.19/158.81 (P104(f331(f331(f245(a876),x130361),f331(a116,f331(f331(f80(a876),x130362),x130361))))), % 159.19/158.81 inference(rename_variables,[],[3740])). % 159.19/158.81 cnf(13037,plain, % 159.19/158.81 (P104(f331(f331(f245(a876),x130371),f331(a116,x130371)))), % 159.19/158.81 inference(rename_variables,[],[3358])). % 159.19/158.81 cnf(13039,plain, % 159.19/158.81 (~E(f331(f331(f81(a876),f331(a116,f2(a876))),f33(x130391,x130392)),f331(f331(f81(a876),f331(a116,f2(a876))),f32(x130393,x130394)))), % 159.19/158.82 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,12548,12960,12970,12975,12979,12985,12988,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,12631,12785,13033,4483,10450,10541,3347,3310,12582,3500,3204,4478,12702,2885,2886,2888,2889,2892,2893,2895,2896,2897,2903,2904,2907,2908,2910,2911,2912,2914,2915,2922,2928,2929,2930,2933,2945,2950,2953,2959,2965,2966,2967,2990,2998,3002,3003,3004,3016,3025,3033,3034,3039,3041,3042,3043,3044,3045,3046,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,12618,12836,3614,3868,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3118,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3164,3670,3127,3128,3106,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,12359,4501,12329,3279,11700,11703,12929,4540,10995,11065,11289,11292,3690,3276,3395,3613,3361,12574,3178,3179,10349,10652,4528,3452,3171,3097,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,11189,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3631,3805,3561,12819,12823,12827,12831,12841,3852,12200,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,12637,12696,12739,12742,12784,12802,13032,3742,11595,3272,3370,11715,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,12642,12661,12664,12688,12743,12907,12912,12936,4546,11478,11511,11546,11575,12752,12756,3729,3501,3502,11896,12667,12670,12673,12676,12710,3877,3318,3320,3293,4531,3177,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,12430,4038,3995,11868,12221,3939,10825,12029,12055,12228,12453,3990,11007,12097,12170,12227,12274,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,12898,12969,12974,4552,10773,11143,12231,12982,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,12426,12689,12716,12794,12805,12810,12813,12816,12849,12860,12873,12922,12947,12950,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,11971,12707,12853,12876,12908,12913,12937,3292,3366,12085,12772,12820,12824,12828,12832,12842,12846,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,12491,3447,10622,10886,10930,11200,11278,11439,11680,12324,12494,12894,12964,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,12503,12771,12788,12791,12883,12965,13007,13022,3352,10649,10679,10688,11229,11779,12413,12427,12753,12757,12760,3390,3384,3809,3747,10328,11598,11628,12734,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,12953,3312,10682,10835,10906,11629,11784,11976,12193,12215,3770,11730,12683,4118,3507,4537,3781,3817,4520,4523,4524,3263,3267,4522,4521,4525,3788,3602,11591,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,12242,3894,11319,11655,11659,11721,12332,12340,12419,12701,12959,13011,3736,10946,10952,10967,11903,12118,12390,3589,11169,12144,12256,12266,12337,12385,12393,3626,4072,3738,10685,11023,11175,11205,11216,12052,12336,12379,3557,10605,10608,10691,10862,3559,4558,11592,4548,4553,12651,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,12265,4079,3769,12506,3716,3717,4556,10301,10304,10643,10646,11475,11660,12449,4557,11572,11665,3740,10611,10868,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473,5549,5646,5677,5711,5727,5729,5735,5798,5799,5800,5801,5807,5840,5973,6009,6018,6041,6078,6113,6118,6264,6269,6304,6305,6325,6328,6330,6337,6338,6339,6340,6341,6342,6343,6344,6423,6491,6492,6578,6611,6612,6653,6654,6793,6808,6880,6881,6888,6910,6933,6941,6943,6990,7015,7016,7034,7035,7070,7114,7115,7212,7273,7274,7275,7276,7290,7323,7379,7380,7389,7396,7397,7409,7441,7442,7443,7444,7588,7589,7591,7593,7599,7600,7809,7815,7816,7825,7864,7943,7985,8043,8064,8065,8080,8139,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8651,8863,8887,8888,8968,8983,9037,9038,9154,9190,9213,9249,9290,9482,9742,9935,9991,9993,6036,6406,6407,6494])). % 159.19/158.82 cnf(13046,plain, % 159.19/158.82 (P104(f331(f331(f244(a1),f2(a1)),f331(f104(a1),x130461)))), % 159.19/158.82 inference(rename_variables,[],[3390])). % 159.19/158.82 cnf(13049,plain, % 159.19/158.82 (P104(f331(f331(f244(a876),f2(a876)),x130491))), % 159.19/158.82 inference(rename_variables,[],[3312])). % 159.19/158.82 cnf(13053,plain, % 159.19/158.82 (~E(f331(a116,x130531),f2(a876))), % 159.19/158.82 inference(rename_variables,[],[4478])). % 159.19/158.82 cnf(13062,plain, % 159.19/158.82 (~P104(f331(f331(f333(x130621),x130622),f194(f885(x130621,a871))))), % 159.19/158.82 inference(rename_variables,[],[4542])). % 159.19/158.82 cnf(13065,plain, % 159.19/158.82 (P104(f331(f62(a876),f303(a876,x130651,x130652)))), % 159.19/158.82 inference(rename_variables,[],[3502])). % 159.19/158.82 cnf(13066,plain, % 159.19/158.82 (E(f331(f331(f242(a876),f331(a116,x130661)),f331(a116,x130662)),f331(a116,f331(f331(f242(a876),x130661),x130662)))), % 159.19/158.82 inference(rename_variables,[],[3464])). % 159.19/158.82 cnf(13069,plain, % 159.19/158.82 (P104(f331(f62(a876),f303(a876,x130691,x130692)))), % 159.19/158.82 inference(rename_variables,[],[3502])). % 159.19/158.82 cnf(13070,plain, % 159.19/158.82 (E(f331(f331(f243(a876),f331(a116,x130701)),f331(a116,x130702)),f331(a116,f331(f331(f243(a876),x130701),x130702)))), % 159.19/158.82 inference(rename_variables,[],[3465])). % 159.19/158.82 cnf(13073,plain, % 159.19/158.82 (P104(f331(f62(a876),f303(a876,x130731,x130732)))), % 159.19/158.82 inference(rename_variables,[],[3502])). % 159.19/158.82 cnf(13081,plain, % 159.19/158.82 (P104(f331(f331(f244(f885(x130811,a871)),f331(f172(x130811),f331(f135(x130811,x130812),x130813))),f331(f172(x130811),x130813)))), % 159.19/158.82 inference(rename_variables,[],[3939])). % 159.19/158.82 cnf(13082,plain, % 159.19/158.82 (E(f331(f331(f16(x130821,x130822),x130823),x130824),x130823)), % 159.19/158.82 inference(rename_variables,[],[3279])). % 159.19/158.82 cnf(13085,plain, % 159.19/158.82 (P104(f331(f331(f244(f885(x130851,a871)),f331(f172(x130851),f331(f331(f175(x130851),x130852),x130853))),f331(f172(x130851),x130853)))), % 159.19/158.82 inference(rename_variables,[],[3984])). % 159.19/158.82 cnf(13086,plain, % 159.19/158.82 (E(f331(f331(f16(x130861,x130862),x130863),x130864),x130863)), % 159.19/158.82 inference(rename_variables,[],[3279])). % 159.19/158.82 cnf(13090,plain, % 159.19/158.82 (E(f331(f331(f16(x130901,x130902),x130903),x130904),x130903)), % 159.19/158.82 inference(rename_variables,[],[3279])). % 159.19/158.82 cnf(13103,plain, % 159.19/158.82 (P104(f331(f331(f244(a1),f2(a1)),f331(f104(a1),x131031)))), % 159.19/158.82 inference(rename_variables,[],[3390])). % 159.19/158.82 cnf(13106,plain, % 159.19/158.82 (~P104(f331(f331(f333(x131061),x131062),f194(f885(x131061,a871))))), % 159.19/158.82 inference(rename_variables,[],[4542])). % 159.19/158.82 cnf(13109,plain, % 159.19/158.82 (~P104(f331(f331(f333(x131091),x131092),f194(f885(x131091,a871))))), % 159.19/158.82 inference(rename_variables,[],[4542])). % 159.19/158.82 cnf(13110,plain, % 159.19/158.82 (E(f331(f261(x131101,x131101),f262(x131101,x131102)),x131102)), % 159.19/158.82 inference(rename_variables,[],[3246])). % 159.19/158.82 cnf(13111,plain, % 159.19/158.82 (P21(x131111,x131111,f5(x131111),x131112)), % 159.19/158.82 inference(rename_variables,[],[3531])). % 159.19/158.82 cnf(13115,plain, % 159.19/158.82 (E(f331(f261(x131151,x131151),f262(x131151,x131152)),x131152)), % 159.19/158.82 inference(rename_variables,[],[3246])). % 159.19/158.82 cnf(13120,plain, % 159.19/158.82 (P104(f331(f331(f245(f885(a1,a871)),f301(a1,f78(a1),f2(a1))),f301(a1,f2(a1),f78(a1))))), % 159.19/158.82 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,12548,12960,12970,12975,12979,12985,12988,13012,13111,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,12631,12785,13033,4483,10450,10541,3347,3310,12582,3500,3204,4478,12702,12717,2885,2886,2888,2889,2892,2893,2895,2896,2897,2903,2904,2907,2908,2910,2911,2912,2914,2915,2922,2928,2929,2930,2933,2945,2950,2953,2959,2965,2966,2967,2984,2990,2998,2999,3002,3003,3004,3016,3025,3033,3034,3039,3041,3042,3043,3044,3045,3046,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,12618,12836,13003,13110,3614,3868,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3118,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3164,3670,3127,3128,3106,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,12359,4501,12329,3279,11700,11703,12929,13029,13082,13086,13090,4540,10995,11065,11289,11292,3690,3276,3395,3613,3387,3361,12574,3178,3179,10349,10652,4528,3452,3171,3097,3284,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,11189,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3631,3805,3561,12819,12823,12827,12831,12841,3852,12200,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,12637,12696,12739,12742,12784,12802,13032,3742,11595,3272,3370,11715,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,12642,12661,12664,12688,12743,12907,12912,12936,4546,11478,11511,11546,11575,12752,12756,3729,3501,3502,11896,12667,12670,12673,12676,12710,12713,13065,13069,13073,3877,3464,13066,3465,13070,3318,3320,3293,4531,3177,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,12430,4038,3995,11868,12221,3939,10825,12029,12055,12228,12453,12901,13081,3984,13085,3990,11007,12097,12170,12227,12274,12932,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,12898,12969,12974,4552,10773,11143,12231,12982,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,12426,12689,12716,12794,12805,12810,12813,12816,12849,12860,12873,12922,12947,12950,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,11971,12707,12853,12876,12908,12913,12937,3292,3366,12085,12772,12820,12824,12828,12832,12842,12846,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,12491,3447,10622,10886,10930,11200,11278,11439,11680,12324,12494,12894,12964,13015,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,12503,12771,12788,12791,12883,12965,13007,13022,13025,13062,13106,13109,3352,10649,10679,10688,11229,11779,12413,12427,12753,12757,12760,3390,13046,3384,3809,3747,10328,11598,11628,12734,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,12953,3312,10682,10835,10906,11629,11784,11976,12193,12215,12781,3770,11730,12683,4118,3507,4537,3781,3817,4520,4523,4524,3263,3267,4522,4521,4525,4296,3788,3602,11591,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,12242,3894,11319,11655,11659,11721,12332,12340,12419,12701,12959,13011,3736,10946,10952,10967,11903,12118,12390,3589,11169,12144,12256,12266,12337,12385,12393,12500,3626,4072,3738,10685,11023,11175,11205,11216,12052,12336,12379,12999,3557,10605,10608,10691,10862,3559,4558,11592,4548,4553,12651,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,12265,4079,3769,12506,3716,3717,4556,10301,10304,10643,10646,11475,11660,12449,4557,11572,11665,3740,10611,10868,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473,5549,5646,5677,5711,5727,5729,5735,5798,5799,5800,5801,5807,5840,5973,6009,6018,6041,6078,6113,6118,6264,6269,6304,6305,6325,6328,6330,6337,6338,6339,6340,6341,6342,6343,6344,6423,6491,6492,6578,6611,6612,6653,6654,6793,6808,6880,6881,6888,6910,6933,6941,6943,6990,7015,7016,7034,7035,7070,7114,7115,7212,7273,7274,7275,7276,7290,7323,7379,7380,7389,7396,7397,7409,7441,7442,7443,7444,7588,7589,7591,7593,7599,7600,7809,7815,7816,7825,7864,7943,7985,8043,8064,8065,8080,8139,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8651,8863,8887,8888,8968,8983,9037,9038,9154,9190,9213,9249,9290,9482,9742,9935,9991,9993,6036,6406,6407,6494,6514,6515,6932,7150,8576,8609,8803,8994,8995,9065,9066,9338,9339,9340,9341,9541,9813,10115,10166,10167,6476,8402])). % 159.19/158.82 cnf(13122,plain, % 159.19/158.82 (P104(f331(f331(f245(f885(a1,a871)),f301(a1,f2(a1),f2(a1))),f301(a1,f331(f79(a1),f331(f104(a1),f331(a116,x131221))),f2(a1))))), % 159.19/158.82 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,12548,12960,12970,12975,12979,12985,12988,13012,13111,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,12631,12785,13033,4483,10450,10541,3347,3310,12582,3500,3204,4478,12702,12717,2885,2886,2888,2889,2892,2893,2895,2896,2897,2903,2904,2907,2908,2910,2911,2912,2914,2915,2922,2928,2929,2930,2933,2945,2950,2953,2959,2965,2966,2967,2984,2990,2998,2999,3002,3003,3004,3016,3025,3033,3034,3039,3041,3042,3043,3044,3045,3046,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,12618,12836,13003,13110,3614,3868,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3118,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3164,3670,3127,3128,3106,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,12359,4501,12329,3279,11700,11703,12929,13029,13082,13086,13090,4540,10995,11065,11289,11292,3690,3276,3395,3613,3387,3361,12574,3178,3179,10349,10652,4528,3452,3171,3097,3284,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,11189,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,4491,11361,3593,3631,3805,3561,12819,12823,12827,12831,12841,3852,12200,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,12637,12696,12739,12742,12784,12802,13032,3742,11595,3272,3370,11715,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,12642,12661,12664,12688,12743,12907,12912,12936,4546,11478,11511,11546,11575,12752,12756,3729,3501,3502,11896,12667,12670,12673,12676,12710,12713,13065,13069,13073,3877,3464,13066,3465,13070,3318,3320,3293,4531,3177,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,12430,4038,3995,11868,12221,3939,10825,12029,12055,12228,12453,12901,13081,3984,13085,3990,11007,12097,12170,12227,12274,12932,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,12898,12969,12974,4552,10773,11143,12231,12982,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,12426,12689,12716,12794,12805,12810,12813,12816,12849,12860,12873,12922,12947,12950,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,11971,12707,12853,12876,12908,12913,12937,12942,3292,3366,12085,12772,12820,12824,12828,12832,12842,12846,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,12491,3447,10622,10886,10930,11200,11278,11439,11680,12324,12494,12894,12964,13015,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,12503,12771,12788,12791,12883,12965,13007,13022,13025,13062,13106,13109,3352,10649,10679,10688,11229,11779,12413,12427,12753,12757,12760,3390,13046,3384,3809,3747,10328,11598,11628,12734,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,12953,3312,10682,10835,10906,11629,11784,11976,12193,12215,12781,3770,11730,12683,4118,3507,4537,3781,3817,4520,4523,4524,3263,3267,4522,4521,4525,4296,3788,3602,11591,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,12242,3894,11319,11655,11659,11721,12332,12340,12419,12701,12959,13011,3736,10946,10952,10967,11903,12118,12390,3589,11169,12144,12256,12266,12337,12385,12393,12500,3626,4072,3738,10685,11023,11175,11205,11216,12052,12336,12379,12999,3557,10605,10608,10691,10862,3559,4558,11592,4548,4553,12651,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,12265,4079,3769,12506,3716,3717,4556,10301,10304,10643,10646,11475,11660,12449,4557,11572,11665,3740,10611,10868,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473,5549,5646,5677,5711,5727,5729,5735,5798,5799,5800,5801,5807,5840,5973,6009,6018,6041,6078,6113,6118,6264,6269,6304,6305,6325,6328,6330,6337,6338,6339,6340,6341,6342,6343,6344,6423,6491,6492,6578,6611,6612,6653,6654,6793,6808,6880,6881,6888,6910,6933,6941,6943,6990,7015,7016,7034,7035,7070,7114,7115,7212,7273,7274,7275,7276,7290,7323,7379,7380,7389,7396,7397,7409,7441,7442,7443,7444,7588,7589,7591,7593,7599,7600,7809,7815,7816,7825,7864,7943,7985,8043,8064,8065,8080,8139,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8651,8863,8887,8888,8968,8983,9037,9038,9154,9190,9213,9249,9290,9482,9742,9935,9991,9993,6036,6406,6407,6494,6514,6515,6932,7150,8576,8609,8803,8994,8995,9065,9066,9338,9339,9340,9341,9541,9813,10115,10166,10167,6476,8402,8403])). % 159.19/158.82 cnf(13129,plain, % 159.19/158.82 (P104(f331(f331(f244(a876),f2(a876)),x131291))), % 159.19/158.82 inference(rename_variables,[],[3312])). % 159.19/158.82 cnf(13130,plain, % 159.19/158.82 (P104(f331(f331(f245(a876),f2(a876)),f331(a116,x131301)))), % 159.19/158.82 inference(rename_variables,[],[3370])). % 159.19/158.82 cnf(13131,plain, % 159.19/158.82 (E(f331(f261(x131311,x131311),f262(x131311,x131312)),x131312)), % 159.19/158.82 inference(rename_variables,[],[3246])). % 159.19/158.82 cnf(13134,plain, % 159.19/158.82 (P104(f331(f48(f331(f261(x131341,x131341),f262(x131341,f331(f331(f80(a876),f331(f331(f81(a876),f331(f264(a876,a876),f331(f331(f265(a876,a876),f2(a876)),x131342))),f331(a116,f331(f331(f80(a876),x131343),f331(f268(a876,a876),f331(f331(f265(a876,a876),f2(a876)),x131342)))))),f331(f268(a876,a876),f331(f331(f265(a876,a876),f2(a876)),x131342))))),f331(a116,f331(f331(f80(a876),x131343),f331(f268(a876,a876),f331(f331(f265(a876,a876),f2(a876)),x131342))))),f331(f331(f265(a876,a876),f2(a876)),x131342)))), % 159.19/158.82 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,12548,12960,12970,12975,12979,12985,12988,13012,13111,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,12631,12785,13033,4483,10450,10541,3347,3310,12582,3500,3204,4478,12702,12717,13053,2885,2886,2888,2889,2892,2893,2895,2896,2897,2903,2904,2907,2908,2910,2911,2912,2914,2915,2922,2928,2929,2930,2933,2945,2950,2953,2959,2965,2966,2967,2984,2990,2998,2999,3002,3003,3004,3016,3025,3033,3034,3039,3041,3042,3043,3044,3045,3046,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,12618,12836,13003,13110,13115,13131,3614,3868,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3118,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3164,3670,3127,3128,3106,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,12359,4501,12329,3279,11700,11703,12929,13029,13082,13086,13090,4540,10995,11065,11289,11292,3690,3276,3395,3613,3387,3361,12574,3178,3179,10349,10652,4528,3452,3171,3097,3284,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,11189,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,3475,4491,11361,3593,3631,3805,3561,12819,12823,12827,12831,12841,3852,12200,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,12637,12696,12739,12742,12784,12802,13032,13037,3742,11595,3272,3370,11715,12630,13130,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,12642,12661,12664,12688,12743,12907,12912,12936,4546,11478,11511,11546,11575,12752,12756,3729,3501,3502,11896,12667,12670,12673,12676,12710,12713,13065,13069,13073,3877,3464,13066,3465,13070,3318,3320,3293,4531,3177,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,12430,4038,3995,11868,12221,3939,10825,12029,12055,12228,12453,12901,13081,3984,13085,3990,11007,12097,12170,12227,12274,12932,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,12898,12969,12974,4552,10773,11143,12231,12982,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,12426,12689,12716,12794,12805,12810,12813,12816,12849,12860,12873,12922,12947,12950,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,11971,12707,12853,12876,12908,12913,12937,12942,3292,3366,12085,12772,12820,12824,12828,12832,12842,12846,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,12491,3447,10622,10886,10930,11200,11278,11439,11680,12324,12494,12894,12964,13015,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,12503,12771,12788,12791,12883,12965,13007,13022,13025,13062,13106,13109,3352,10649,10679,10688,11229,11779,12413,12427,12753,12757,12760,3390,13046,3384,3809,3747,10328,11598,11628,12734,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,12953,3312,10682,10835,10906,11629,11784,11976,12193,12215,12781,13049,13129,3770,11730,12683,4118,3507,4537,3781,3817,4520,4523,4524,3263,3267,4522,4521,4525,4296,3788,3602,11591,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,12242,3894,11319,11655,11659,11721,12332,12340,12419,12701,12959,13011,3736,10946,10952,10967,11903,12118,12390,3589,11169,12144,12256,12266,12337,12385,12393,12500,3626,4072,3738,10685,11023,11175,11205,11216,12052,12336,12379,12999,3557,10605,10608,10691,10862,3559,4558,11592,4548,4553,12651,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,12265,4079,3769,12506,3716,3717,4556,10301,10304,10643,10646,11475,11660,12449,4557,11572,11665,3740,10611,10868,13036,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473,5549,5646,5677,5711,5727,5729,5735,5798,5799,5800,5801,5807,5840,5973,6009,6018,6041,6078,6113,6118,6264,6269,6304,6305,6325,6328,6330,6337,6338,6339,6340,6341,6342,6343,6344,6423,6491,6492,6578,6611,6612,6653,6654,6793,6808,6880,6881,6888,6910,6933,6941,6943,6990,7015,7016,7034,7035,7070,7114,7115,7212,7273,7274,7275,7276,7290,7323,7379,7380,7389,7396,7397,7409,7441,7442,7443,7444,7588,7589,7591,7593,7599,7600,7809,7815,7816,7825,7864,7943,7985,8043,8064,8065,8080,8139,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8651,8863,8887,8888,8968,8983,9037,9038,9154,9190,9213,9249,9290,9482,9742,9935,9991,9993,6036,6406,6407,6494,6514,6515,6932,7150,8576,8609,8803,8994,8995,9065,9066,9338,9339,9340,9341,9541,9813,10115,10166,10167,6476,8402,8403,8853,8871])). % 159.19/158.82 cnf(13150,plain, % 159.19/158.82 (E(f331(f331(f80(a876),f2(a876)),f348(f331(a116,f2(a876)),f2(a876))),f2(a876))), % 159.19/158.82 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,12548,12960,12970,12975,12979,12985,12988,13012,13111,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,12631,12785,13033,4483,10450,10541,3347,3310,12582,3500,3204,4478,12702,12717,13053,2885,2886,2888,2889,2892,2893,2895,2896,2897,2903,2904,2907,2908,2910,2911,2912,2914,2915,2922,2928,2929,2930,2933,2934,2945,2950,2953,2959,2965,2966,2967,2971,2984,2990,2998,2999,3002,3003,3004,3016,3025,3033,3034,3039,3041,3042,3043,3044,3045,3046,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,12618,12836,13003,13110,13115,13131,3614,3868,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3118,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3164,3670,3127,3128,3106,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,12359,4501,12329,3279,11700,11703,12929,13029,13082,13086,13090,4540,10995,11065,11289,11292,3690,3276,3395,3613,3387,3361,12574,3178,3179,10349,10652,4528,3452,3171,3097,3284,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,11189,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,3475,4491,11361,3593,3631,3805,3561,12819,12823,12827,12831,12841,3852,12200,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,12637,12696,12739,12742,12784,12802,13032,13037,3742,11595,3272,3370,11715,12630,13130,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,12642,12661,12664,12688,12743,12907,12912,12936,12941,4546,11478,11511,11546,11575,12752,12756,3729,3501,3502,11896,12667,12670,12673,12676,12710,12713,13065,13069,13073,3877,3464,13066,3465,13070,3318,3320,3293,4531,3177,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,12430,4038,3995,11868,12221,3939,10825,12029,12055,12228,12453,12901,13081,3984,13085,3990,11007,12097,12170,12227,12274,12932,3991,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,12898,12969,12974,4552,10773,11143,12231,12982,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,12426,12689,12716,12794,12805,12810,12813,12816,12849,12860,12873,12922,12947,12950,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,11971,12707,12853,12876,12908,12913,12937,12942,3292,3366,12085,12772,12820,12824,12828,12832,12842,12846,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,12491,3447,10622,10886,10930,11200,11278,11439,11680,12324,12494,12894,12964,13015,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,12503,12771,12788,12791,12883,12965,13007,13022,13025,13062,13106,13109,3352,10649,10679,10688,11229,11779,12413,12427,12753,12757,12760,3390,13046,13103,3384,3809,3747,10328,11598,11628,12734,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,12953,3312,10682,10835,10906,11629,11784,11976,12193,12215,12781,13049,13129,3770,11730,12683,4118,3507,4537,3781,3817,4520,4523,4524,3263,3267,4522,4521,4525,4296,3788,3602,11591,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,12242,3894,11319,11655,11659,11721,12332,12340,12419,12701,12959,13011,3736,10946,10952,10967,11903,12118,12390,3589,11169,12144,12256,12266,12337,12385,12393,12500,3626,4072,3738,10685,11023,11175,11205,11216,12052,12336,12379,12999,3557,10605,10608,10691,10862,3559,4558,11592,4548,4553,12651,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,12265,4079,3769,12506,3716,3717,4556,10301,10304,10643,10646,11475,11660,12449,4557,11572,11665,3740,10611,10868,13036,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473,5549,5646,5677,5711,5727,5729,5735,5798,5799,5800,5801,5807,5840,5973,6009,6018,6041,6078,6113,6118,6264,6269,6304,6305,6325,6328,6330,6337,6338,6339,6340,6341,6342,6343,6344,6423,6491,6492,6578,6611,6612,6653,6654,6793,6808,6880,6881,6888,6910,6933,6941,6943,6990,7015,7016,7034,7035,7070,7114,7115,7212,7273,7274,7275,7276,7290,7323,7379,7380,7389,7396,7397,7409,7441,7442,7443,7444,7588,7589,7591,7593,7599,7600,7809,7815,7816,7825,7864,7943,7985,8043,8064,8065,8080,8139,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8651,8863,8887,8888,8968,8983,9037,9038,9154,9190,9213,9249,9290,9482,9742,9935,9991,9993,6036,6406,6407,6494,6514,6515,6932,7150,8576,8609,8803,8994,8995,9065,9066,9338,9339,9340,9341,9541,9813,10115,10166,10167,6476,8402,8403,8853,8871,9814,10165,4648,4650])). % 159.19/158.82 cnf(13206,plain, % 159.19/158.82 (~P104(f331(f331(f245(a1),f2(a1)),f2(a1)))), % 159.19/158.82 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,12548,12960,12970,12975,12979,12985,12988,13012,13111,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,12631,12785,13033,4483,10450,10541,3347,3310,12582,3500,3204,4478,12702,12717,13053,2885,2886,2888,2889,2892,2893,2895,2896,2897,2903,2904,2907,2908,2910,2911,2912,2914,2915,2922,2928,2929,2930,2933,2934,2945,2950,2953,2959,2965,2966,2967,2971,2984,2990,2998,2999,3002,3003,3004,3016,3025,3033,3034,3039,3041,3042,3043,3044,3045,3046,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,12618,12836,13003,13110,13115,13131,3614,3868,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3118,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3164,3670,3127,3128,3106,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,12359,4501,12329,3279,11700,11703,12929,13029,13082,13086,13090,4540,10995,11065,11289,11292,3690,3276,3395,3613,3387,3361,12574,3178,3179,10349,10652,4528,3452,3171,3097,3284,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,11189,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,3475,4491,11361,3593,3631,3805,3561,12819,12823,12827,12831,12841,3852,12200,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,12637,12696,12739,12742,12784,12802,13032,13037,3742,11595,3272,3370,11715,12630,13130,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,12642,12661,12664,12688,12743,12907,12912,12936,12941,4546,11478,11511,11546,11575,12752,12756,3729,3501,3502,11896,12667,12670,12673,12676,12710,12713,13065,13069,13073,3877,3464,13066,3465,13070,3318,3320,3293,4531,3177,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,12430,4038,3995,11868,12221,3939,10825,12029,12055,12228,12453,12901,13081,3984,13085,3990,11007,12097,12170,12227,12274,12932,3991,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,12898,12969,12974,4552,10773,11143,12231,12982,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,12426,12689,12716,12794,12805,12810,12813,12816,12849,12860,12873,12922,12947,12950,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,11971,12707,12853,12876,12908,12913,12937,12942,3292,3366,12085,12772,12820,12824,12828,12832,12842,12846,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,12491,3447,10622,10886,10930,11200,11278,11439,11680,12324,12494,12894,12964,13015,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,12503,12771,12788,12791,12883,12965,13007,13022,13025,13062,13106,13109,3352,10649,10679,10688,11229,11779,12413,12427,12753,12757,12760,3390,13046,13103,3384,3809,3747,10328,11598,11628,12734,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,12953,3312,10682,10835,10906,11629,11784,11976,12193,12215,12781,13049,13129,3770,11730,12683,4118,3507,4537,3781,3817,4520,4523,4524,3263,3267,4522,4521,4525,4296,3788,3602,11591,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,12242,3894,11319,11655,11659,11721,12332,12340,12419,12701,12959,13011,3736,10946,10952,10967,11903,12118,12390,3589,11169,12144,12256,12266,12337,12385,12393,12500,3626,4072,3738,10685,11023,11175,11205,11216,12052,12336,12379,12999,3557,10605,10608,10691,10862,3559,4558,11592,4548,4553,12651,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,12265,4079,3769,12506,3716,3717,4556,10301,10304,10643,10646,11475,11660,12449,4557,11572,11665,3740,10611,10868,13036,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473,5549,5646,5677,5711,5727,5729,5735,5798,5799,5800,5801,5807,5840,5973,6009,6018,6041,6078,6113,6118,6264,6269,6304,6305,6325,6328,6330,6337,6338,6339,6340,6341,6342,6343,6344,6423,6491,6492,6578,6611,6612,6653,6654,6793,6808,6880,6881,6888,6910,6933,6941,6943,6990,7015,7016,7034,7035,7070,7114,7115,7212,7273,7274,7275,7276,7290,7323,7379,7380,7389,7396,7397,7409,7441,7442,7443,7444,7588,7589,7591,7593,7599,7600,7809,7815,7816,7825,7864,7943,7985,8043,8064,8065,8080,8139,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8651,8863,8887,8888,8968,8983,9037,9038,9154,9190,9213,9249,9290,9482,9742,9935,9991,9993,6036,6406,6407,6494,6514,6515,6932,7150,8576,8609,8803,8994,8995,9065,9066,9338,9339,9340,9341,9541,9813,10115,10166,10167,6476,8402,8403,8853,8871,9814,10165,4648,4650,4651,4707,4715,4854,4870,4871,4893,4900,4901,4932,4987,5049,5106,5156,5184,5220,5223,5228,5230,5231,5257,5330,5353,5488,5554,5555,5556,5673])). % 159.19/158.82 cnf(13208,plain, % 159.19/158.82 (P104(f331(f331(f245(a1),f2(a1)),f331(f75(a1),f78(a1))))), % 159.19/158.82 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,12548,12960,12970,12975,12979,12985,12988,13012,13111,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,12631,12785,13033,4483,10450,10541,3347,3310,12582,3500,3204,4478,12702,12717,13053,2885,2886,2888,2889,2892,2893,2895,2896,2897,2903,2904,2907,2908,2910,2911,2912,2914,2915,2922,2928,2929,2930,2933,2934,2945,2950,2953,2959,2965,2966,2967,2971,2984,2990,2998,2999,3002,3003,3004,3016,3025,3033,3034,3039,3041,3042,3043,3044,3045,3046,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,12618,12836,13003,13110,13115,13131,3614,3868,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3118,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3164,3670,3127,3128,3106,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,12359,4501,12329,3279,11700,11703,12929,13029,13082,13086,13090,4540,10995,11065,11289,11292,3690,3276,3395,3613,3387,3361,12574,3178,3179,10349,10652,4528,3452,3171,3097,3284,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,11189,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,3475,4491,11361,3593,3631,3805,3561,12819,12823,12827,12831,12841,3852,12200,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,12637,12696,12739,12742,12784,12802,13032,13037,3742,11595,3272,3370,11715,12630,13130,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,12642,12661,12664,12688,12743,12907,12912,12936,12941,4546,11478,11511,11546,11575,12752,12756,3729,3501,3502,11896,12667,12670,12673,12676,12710,12713,13065,13069,13073,3877,3464,13066,3465,13070,3318,3320,3293,4531,3177,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,12430,4038,3995,11868,12221,3939,10825,12029,12055,12228,12453,12901,13081,3984,13085,3990,11007,12097,12170,12227,12274,12932,3991,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,12898,12969,12974,4552,10773,11143,12231,12982,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,12426,12689,12716,12794,12805,12810,12813,12816,12849,12860,12873,12922,12947,12950,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,11971,12707,12853,12876,12908,12913,12937,12942,3292,3366,12085,12772,12820,12824,12828,12832,12842,12846,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,12491,3447,10622,10886,10930,11200,11278,11439,11680,12324,12494,12894,12964,13015,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,12503,12771,12788,12791,12883,12965,13007,13022,13025,13062,13106,13109,3352,10649,10679,10688,11229,11779,12413,12427,12753,12757,12760,3390,13046,13103,3384,3809,3747,10328,11598,11628,12734,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,12953,3312,10682,10835,10906,11629,11784,11976,12193,12215,12781,13049,13129,3770,11730,12683,4118,3507,4537,3781,3817,4520,4523,4524,3263,3267,4522,4521,4525,4296,3788,3602,11591,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,12242,3894,11319,11655,11659,11721,12332,12340,12419,12701,12959,13011,3736,10946,10952,10967,11903,12118,12390,3589,11169,12144,12256,12266,12337,12385,12393,12500,3626,4072,3738,10685,11023,11175,11205,11216,12052,12336,12379,12999,3557,10605,10608,10691,10862,3559,4558,11592,4548,4553,12651,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,12265,4079,3769,12506,3716,3717,4556,10301,10304,10643,10646,11475,11660,12449,4557,11572,11665,3740,10611,10868,13036,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473,5549,5646,5677,5711,5727,5729,5735,5798,5799,5800,5801,5807,5840,5973,6009,6018,6041,6078,6113,6118,6264,6269,6304,6305,6325,6328,6330,6337,6338,6339,6340,6341,6342,6343,6344,6423,6491,6492,6578,6611,6612,6653,6654,6793,6808,6880,6881,6888,6910,6933,6941,6943,6990,7015,7016,7034,7035,7070,7114,7115,7212,7273,7274,7275,7276,7290,7323,7379,7380,7389,7396,7397,7409,7441,7442,7443,7444,7588,7589,7591,7593,7599,7600,7809,7815,7816,7825,7864,7943,7985,8043,8064,8065,8080,8139,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8651,8863,8887,8888,8968,8983,9037,9038,9154,9190,9213,9249,9290,9482,9742,9935,9991,9993,6036,6406,6407,6494,6514,6515,6932,7150,8576,8609,8803,8994,8995,9065,9066,9338,9339,9340,9341,9541,9813,10115,10166,10167,6476,8402,8403,8853,8871,9814,10165,4648,4650,4651,4707,4715,4854,4870,4871,4893,4900,4901,4932,4987,5049,5106,5156,5184,5220,5223,5228,5230,5231,5257,5330,5353,5488,5554,5555,5556,5673,5674])). % 159.19/158.82 cnf(13226,plain, % 159.19/158.82 (~P104(f331(f331(f245(a876),f331(a116,f331(f331(f80(a876),x132261),x132262))),f331(a116,x132261)))), % 159.19/158.82 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,12548,12960,12970,12975,12979,12985,12988,13012,13111,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,12631,12785,13033,4483,10450,10541,3347,3310,12582,3500,3204,4478,12702,12717,13053,2885,2886,2888,2889,2892,2893,2895,2896,2897,2903,2904,2907,2908,2910,2911,2912,2914,2915,2922,2928,2929,2930,2933,2934,2945,2950,2953,2959,2965,2966,2967,2971,2984,2990,2998,2999,3002,3003,3004,3016,3025,3033,3034,3039,3041,3042,3043,3044,3045,3046,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,12618,12836,13003,13110,13115,13131,3614,3868,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3118,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3164,3670,3127,3128,3106,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,12359,4501,12329,3279,11700,11703,12929,13029,13082,13086,13090,4540,10995,11065,11289,11292,3690,3276,3395,3613,3387,3361,12574,3178,3179,10349,10652,4528,3452,3171,3097,3284,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,11189,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,3475,4491,11361,3593,3631,3805,3561,12819,12823,12827,12831,12841,3852,12200,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,12637,12696,12739,12742,12784,12802,13032,13037,3742,11595,3272,3370,11715,12630,13130,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,12642,12661,12664,12688,12743,12907,12912,12936,12941,4546,11478,11511,11546,11575,12752,12756,3729,3501,3502,11896,12667,12670,12673,12676,12710,12713,13065,13069,13073,3877,3464,13066,3465,13070,3318,3320,3293,4531,3177,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,12430,4038,3995,11868,12221,3939,10825,12029,12055,12228,12453,12901,13081,3984,13085,3990,11007,12097,12170,12227,12274,12932,3991,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,12898,12969,12974,4552,10773,11143,12231,12982,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,12426,12689,12716,12794,12805,12810,12813,12816,12849,12860,12873,12922,12947,12950,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,11971,12707,12853,12876,12908,12913,12937,12942,3292,3366,12085,12772,12820,12824,12828,12832,12842,12846,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,12491,3447,10622,10886,10930,11200,11278,11439,11680,12324,12494,12894,12964,13015,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,12503,12771,12788,12791,12883,12965,13007,13022,13025,13062,13106,13109,3352,10649,10679,10688,11229,11779,12413,12427,12753,12757,12760,3390,13046,13103,3384,3809,3747,10328,11598,11628,12734,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,12953,3312,10682,10835,10906,11629,11784,11976,12193,12215,12781,13049,13129,3770,11730,12683,4118,3507,4537,3781,3817,4520,4523,4524,3263,3267,4522,4521,4525,4296,3788,3602,11591,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,12242,3894,11319,11655,11659,11721,12332,12340,12419,12701,12959,13011,3736,10946,10952,10967,11903,12118,12390,3589,11169,12144,12256,12266,12337,12385,12393,12500,3626,4072,3738,10685,11023,11175,11205,11216,12052,12336,12379,12999,3557,10605,10608,10691,10862,3559,4558,11592,4548,4553,12651,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,12265,4079,3769,12506,3716,3717,4556,10301,10304,10643,10646,11475,11660,12449,4557,11572,11665,3740,10611,10868,13036,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473,5549,5646,5677,5711,5727,5729,5735,5798,5799,5800,5801,5807,5840,5973,6009,6018,6041,6078,6113,6118,6264,6269,6304,6305,6325,6328,6330,6337,6338,6339,6340,6341,6342,6343,6344,6423,6491,6492,6578,6611,6612,6653,6654,6793,6808,6880,6881,6888,6910,6933,6941,6943,6990,7015,7016,7034,7035,7070,7114,7115,7212,7273,7274,7275,7276,7290,7323,7379,7380,7389,7396,7397,7409,7441,7442,7443,7444,7588,7589,7591,7593,7599,7600,7809,7815,7816,7825,7864,7943,7985,8043,8064,8065,8080,8139,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8651,8863,8887,8888,8968,8983,9037,9038,9154,9190,9213,9249,9290,9482,9742,9935,9991,9993,6036,6406,6407,6494,6514,6515,6932,7150,8576,8609,8803,8994,8995,9065,9066,9338,9339,9340,9341,9541,9813,10115,10166,10167,6476,8402,8403,8853,8871,9814,10165,4648,4650,4651,4707,4715,4854,4870,4871,4893,4900,4901,4932,4987,5049,5106,5156,5184,5220,5223,5228,5230,5231,5257,5330,5353,5488,5554,5555,5556,5673,5674,5699,5700,5704,5758,5764,5766,5775,5781,5853])). % 159.19/158.82 cnf(13250,plain, % 159.19/158.82 (~P104(f331(f331(f245(a876),f2(a876)),f194(a876)))), % 159.19/158.82 inference(scs_inference,[],[4566,3531,11060,12100,12203,12295,12333,12341,12406,12546,12548,12960,12970,12975,12979,12985,12988,13012,13111,3540,12164,12605,12607,3541,12234,3256,12533,12535,3257,12599,3222,12479,4502,4503,11677,4242,12592,12595,3260,12611,3096,3116,12623,3157,12586,4486,3591,4468,10216,10219,10229,10242,10253,10256,10357,10360,10363,10466,10577,10881,11045,11048,11246,11333,11340,11354,11404,11407,11516,11562,11578,11879,11907,11919,11951,12049,12160,12167,12325,12376,12509,12631,12785,13033,4483,10450,10541,3347,3310,12582,3500,3204,4478,12702,12717,13053,2885,2886,2888,2889,2892,2893,2895,2896,2897,2903,2904,2907,2908,2910,2911,2912,2914,2915,2922,2928,2929,2930,2933,2934,2945,2950,2953,2959,2965,2966,2967,2971,2984,2990,2998,2999,3002,3003,3004,3016,3025,3033,3034,3039,3041,3042,3043,3044,3045,3046,3054,3061,4463,3075,3156,4464,3628,3129,11330,3270,3332,3243,3246,10213,10222,10291,10294,10384,10387,10676,11345,11348,11459,11503,11508,11607,12070,12271,12459,12511,12519,12521,12539,12541,12560,12562,12571,12576,12618,12836,13003,13110,13115,13131,3614,3868,3217,11604,12354,12358,12362,3223,10696,11610,3231,3750,3987,3118,3119,4480,4492,3842,11380,3346,12513,3181,3148,3665,12525,3143,3961,3164,3670,3127,3128,3106,3133,3761,3163,3303,12041,12190,12409,12482,3348,10828,12161,3215,3216,3394,4551,10420,3927,4494,10282,10447,11243,12321,12355,12359,4501,12329,3279,11700,11703,12929,13029,13082,13086,13090,4540,10995,11065,11289,11292,3690,3276,3395,3613,3387,3361,12574,3178,3179,10349,10652,4528,3452,3171,3097,3284,3200,11370,4074,12344,12471,3929,11001,11127,11178,12305,12311,12420,12423,12446,4563,10933,11034,11132,11237,11259,11297,11303,12250,4564,11135,11240,4565,11138,11189,4567,11192,4568,3199,3492,12206,12247,12328,3653,4359,4360,3475,4491,11361,3593,3631,3805,3561,12819,12823,12827,12831,12841,3852,12200,3478,3731,3358,10368,10486,10555,10616,10619,10655,10749,10985,11875,11941,12017,12061,12138,12141,12450,12637,12696,12739,12742,12784,12802,13032,13037,3742,11595,3272,3370,11715,12630,13130,3556,4534,10259,10262,10288,10757,10770,10891,11281,11373,11767,11772,11993,11996,12082,12091,12253,12348,12642,12661,12664,12688,12743,12907,12912,12936,12941,4546,11478,11511,11546,11575,12752,12756,3729,3501,3502,11896,12667,12670,12673,12676,12710,12713,13065,13069,13073,3877,3464,13066,3465,13070,3318,3320,3293,4531,3177,4488,3681,4212,3996,3484,4547,4068,11254,3612,3331,11724,11727,12171,12275,12430,4038,3995,11868,12221,3939,10825,12029,12055,12228,12453,12901,13081,3984,13085,3990,11007,12097,12170,12227,12274,12932,3991,3654,11878,12024,12105,12151,4027,3672,11004,11070,11151,11211,12048,12119,12371,12443,12456,12898,12969,12974,4552,10773,11143,12231,12982,3289,10377,10473,10602,10662,11451,11671,11718,11752,11848,11906,12112,3290,10731,10776,10779,10812,10838,10875,10913,10949,11922,11925,11928,11931,12126,12129,12132,12135,12214,12382,12426,12689,12716,12794,12805,12810,12813,12816,12849,12860,12873,12922,12947,12950,3291,10406,10461,10667,10752,10878,11755,11764,11854,11865,11884,11889,11934,11954,11971,12707,12853,12876,12908,12913,12937,12942,3292,3366,12085,12772,12820,12824,12828,12832,12842,12846,4530,10325,10415,10526,10550,10794,10841,10851,11525,11625,11646,11649,11652,11668,11822,11825,11828,11831,11918,11937,11940,11950,12005,12008,12011,12014,12092,12182,12185,12281,12284,12347,12375,12412,12491,3447,10622,10886,10930,11200,11278,11439,11680,12324,12494,12894,12964,13015,4542,10803,10815,10922,10940,10943,10998,11084,11092,11108,11146,11163,11172,11208,11249,11269,11272,11275,11306,11313,11316,11697,11733,11999,12002,12036,12086,12115,12259,12302,12308,12394,12397,12416,12470,12476,12485,12503,12771,12788,12791,12883,12965,13007,13022,13025,13062,13106,13109,3352,10649,10679,10688,11229,11779,12413,12427,12753,12757,12760,3390,13046,13103,3384,3809,3747,10328,11598,11628,12734,4539,10279,10637,10640,11087,11105,11561,11616,11656,11681,11785,11810,11813,11816,11819,12081,12953,3312,10682,10835,10906,11629,11784,11976,12193,12215,12781,13049,13129,3770,11730,12683,4118,3507,4537,3781,3817,4520,4523,4524,3263,3267,4522,4521,4525,4296,3788,3602,11591,4218,11458,4554,10247,10250,10507,10558,10561,10566,10972,11433,11684,11788,4561,11166,11286,11322,4004,12242,3894,11319,11655,11659,11721,12332,12340,12419,12701,12959,13011,3736,10946,10952,10967,11903,12118,12390,3589,11169,12144,12256,12266,12337,12385,12393,12500,3626,4072,3738,10685,11023,11175,11205,11216,12052,12336,12379,12999,3557,10605,10608,10691,10862,3559,4558,11592,4548,4553,12651,4559,10742,10844,11154,11436,11464,12209,12218,12262,12440,4179,10818,12239,12265,4079,3769,12506,3716,3717,4556,10301,10304,10643,10646,11475,11660,12449,4557,11572,11665,3740,10611,10868,13036,4011,4579,4584,4591,4607,4656,4658,4689,4706,4713,4714,4750,4755,4785,4791,4876,4902,4903,4918,4940,4965,4966,4988,4989,5002,5006,5028,5035,5052,5055,5056,5057,5062,5063,5084,5109,5110,5120,5125,5131,5176,5177,5185,5195,5199,5201,5211,5213,5219,5222,5238,5245,5248,5249,5250,5254,5288,5301,5309,5311,5312,5316,5317,5318,5326,5329,5334,5335,5336,5343,5347,5348,5349,5358,5362,5363,5364,5369,5382,5391,5403,5405,5413,5414,5418,5422,5447,5453,5463,5464,5479,5492,5514,5520,5536,5537,5540,5559,5567,5568,5573,5574,5584,5586,5598,5602,5611,5612,5614,5629,5634,5644,5645,5657,5664,5678,5682,5685,5691,5692,5693,5696,5701,5739,5740,5743,5745,5748,5749,5750,5752,5754,5756,5761,5768,5783,5797,5802,5803,5816,5817,5822,5826,5828,5833,5874,5886,5895,5899,5910,5914,5915,5923,5937,5943,5961,5964,5976,6003,6017,6042,6062,6063,6066,6080,6082,6084,6086,6099,6100,6103,6105,6108,6109,6121,6127,6128,6129,6131,6133,6176,6177,6184,6193,6229,6231,6233,6235,6244,6246,6248,6254,6256,6262,6265,6273,6280,6281,6282,6287,6309,6310,6311,6313,6319,6324,6358,6359,6361,6362,6363,6365,6366,6367,6368,6375,6408,6409,6418,6439,6440,6460,6463,6474,6475,6481,6511,6513,6527,6565,6567,6568,6622,6646,6689,6709,6718,6719,6720,6721,6740,6741,6747,6760,6763,6765,6767,6768,6769,6771,6785,6796,6798,6799,6812,6815,6866,6877,6879,6883,6900,6901,6937,6949,6980,6999,7014,7068,7096,7151,7172,7181,7184,7239,7247,7305,7307,7322,7332,7333,7334,7353,7359,7361,7410,7420,7423,7439,7491,7493,7496,7539,7540,7558,7625,7644,7667,7689,7704,7719,7730,7738,7739,7767,7770,7772,7780,7818,7828,7853,7911,7945,7977,8024,8040,8056,8057,8132,8185,8204,8228,8248,8272,8370,8372,8378,8395,8399,8415,8437,8448,8450,8465,8471,8475,8498,8512,8513,8529,8530,8535,8536,8537,8538,8539,8557,8558,8559,8567,8581,8583,8595,8599,8601,8602,8603,8611,8616,8643,8644,8675,8688,8692,8710,8732,8733,8734,8735,8747,8748,8770,8780,8790,8791,8792,8793,8795,8817,8818,8829,8873,8879,8885,8898,8903,8905,8908,8909,8913,8922,9003,9034,9035,9036,9051,9069,9074,9102,9103,9144,9147,9173,9218,9219,9220,9235,9262,9276,9282,9285,9307,9308,9336,9398,9433,9434,9435,9460,9461,9479,9497,9503,9517,9540,9562,9570,9571,9572,9573,9588,9590,9595,9626,9627,9633,9634,9678,9679,9710,9719,9729,9731,9732,9741,9755,9758,9786,9819,9821,9825,9882,9923,9924,9926,9936,9937,9957,9962,10003,10055,10127,10128,10181,10197,2,8,9,4594,4595,4613,4644,4645,4647,4675,4681,4682,4693,4742,4744,4776,4790,4820,4919,4920,4933,4953,5009,5010,5013,5014,5016,5018,5019,5031,5032,5042,5053,5054,5060,5079,5080,5097,5102,5103,5104,5105,5108,5116,5119,5126,5191,5197,5198,5205,5235,5246,5252,5267,5287,5294,5295,5296,5305,5315,5322,5324,5325,5331,5339,5340,5350,5354,5355,5356,5357,5359,5360,5365,5366,5367,5368,5399,5400,5401,5409,5410,5411,5412,5455,5460,5462,5499,5501,5502,5504,5505,5507,5508,5510,5519,5524,5526,5527,5528,5529,5530,5531,5538,5548,5551,5562,5578,5579,5582,5592,5594,5595,5596,5621,5631,5647,5648,5658,5659,5661,5663,5668,5703,5708,5710,5770,5804,5805,5809,5815,5818,5819,5820,5821,5827,5838,5839,5841,5842,5850,5871,5902,5918,5921,5922,5924,5933,5951,5955,5958,5959,5960,5978,5989,5990,6019,6020,6024,6044,6047,6051,6070,6075,6076,6101,6104,6112,6120,6126,6130,6137,6138,6139,6140,6179,6194,6247,6283,6285,6306,6307,6312,6316,6317,6320,6326,6335,6350,6370,6371,6376,6386,6401,6421,6427,6429,6444,6445,6448,6449,6451,6453,6454,6455,6457,6459,6462,6467,6468,6470,6471,6477,6479,6521,6526,6540,6542,6543,6544,6579,6584,6586,6591,6592,6600,6604,6617,6641,6642,6644,6645,6656,6660,6663,6680,6683,6702,6735,6736,6737,6742,6756,6775,6777,6779,6781,6786,6792,6794,6809,6816,6852,6853,6854,6868,6869,6871,6872,6891,6893,6909,6935,6957,6968,6970,6972,6974,6975,6976,7011,7012,7017,7018,7025,7026,7028,7030,7049,7058,7059,7071,7081,7120,7130,7134,7141,7152,7153,7158,7160,7166,7174,7175,7188,7205,7223,7225,7242,7291,7292,7293,7295,7297,7301,7306,7329,7374,7406,7421,7438,7471,7474,7500,7524,7541,7544,7545,7555,7574,7576,7578,7580,7581,7582,7607,7633,7634,7666,7668,7669,7670,7675,7696,7705,7716,7721,7727,7729,7735,7746,7747,7749,7769,7773,7778,7801,7866,7867,7914,7922,7923,7947,7948,7965,7966,8031,8032,8059,8088,8099,8101,8110,8122,8154,8160,8167,8180,8199,8205,8227,8270,8300,8312,8330,8333,8363,8386,8451,8452,8455,8457,8476,8561,8562,8563,8564,8590,8619,8647,8691,8709,8764,8810,8813,8826,8833,8870,8918,8919,8936,8937,9076,9080,9100,9110,9133,9135,9138,9142,9145,9146,9159,9160,9180,9186,9198,9248,9266,9320,9321,9328,9390,9395,9430,9437,9440,9443,9444,9459,9475,9484,9496,9506,9507,9510,9512,9538,9661,9705,9706,9748,9793,9909,9966,10031,10106,10119,10124,3,2620,2621,2622,2623,2624,2625,2628,2632,2633,2634,2635,2637,2643,2644,2645,2647,2649,2651,2652,2653,2654,2655,2656,2657,2661,2663,2665,2666,2667,2672,2673,2681,2682,2683,2686,2687,2688,2690,2701,2703,2704,2705,2706,2708,2709,2711,2712,2721,2722,2739,2744,2747,2748,2749,2750,2751,2752,2756,2758,2759,2768,2770,2774,2777,2782,2810,2811,2825,2826,2833,2834,2858,5227,5286,5385,5471,5472,5473,5549,5646,5677,5711,5727,5729,5735,5798,5799,5800,5801,5807,5840,5973,6009,6018,6041,6078,6113,6118,6264,6269,6304,6305,6325,6328,6330,6337,6338,6339,6340,6341,6342,6343,6344,6423,6491,6492,6578,6611,6612,6653,6654,6793,6808,6880,6881,6888,6910,6933,6941,6943,6990,7015,7016,7034,7035,7070,7114,7115,7212,7273,7274,7275,7276,7290,7323,7379,7380,7389,7396,7397,7409,7441,7442,7443,7444,7588,7589,7591,7593,7599,7600,7809,7815,7816,7825,7864,7943,7985,8043,8064,8065,8080,8139,8241,8310,8311,8313,8348,8411,8412,8484,8505,8506,8507,8508,8651,8863,8887,8888,8968,8983,9037,9038,9154,9190,9213,9249,9290,9482,9742,9935,9991,9993,6036,6406,6407,6494,6514,6515,6932,7150,8576,8609,8803,8994,8995,9065,9066,9338,9339,9340,9341,9541,9813,10115,10166,10167,6476,8402,8403,8853,8871,9814,10165,4648,4650,4651,4707,4715,4854,4870,4871,4893,4900,4901,4932,4987,5049,5106,5156,5184,5220,5223,5228,5230,5231,5257,5330,5353,5488,5554,5555,5556,5673,5674,5699,5700,5704,5758,5764,5766,5775,5781,5853,5931,5996,6059,6085,6250,6369,6524,6727,6728,6878,6944,6985])). % 159.19/158.82 cnf(13368,plain, % 159.19/158.82 (~P104(f331(f331(f244(a876),f331(a116,x133681)),x133681))), % 159.19/158.82 inference(rename_variables,[],[4539])). % 159.19/158.82 cnf(13373,plain, % 159.19/158.82 (~P104(f331(f331(f333(f884(x133731,x133731)),x133732),f262(x133731,f194(f885(x133731,a871)))))), % 159.19/158.82 inference(rename_variables,[],[10939])). % 159.19/158.82 cnf(13379,plain, % 159.19/158.82 (~E(f331(f331(f80(a1),x133791),x133791),a101)), % 159.19/158.82 inference(rename_variables,[],[4491])). % 159.19/158.82 cnf(13397,plain, % 159.19/158.82 (~P104(f331(f331(f333(f884(f877(x133971),f877(x133971))),f331(f331(f265(f877(x133971),f877(x133971)),x133972),f117(x133971))),f144(x133971,x133973)))), % 159.19/158.82 inference(rename_variables,[],[4564])). % 159.19/158.82 cnf(13400,plain, % 159.19/158.82 (P104(f331(f331(f244(a876),x134001),f331(f331(f81(a876),x134001),x134001)))), % 159.19/158.82 inference(rename_variables,[],[3557])). % 159.19/158.82 cnf(13405,plain, % 159.19/158.82 (~P104(f331(f331(f333(x134051),x134052),f331(f310(x134051,x134053,x134054),f194(f885(x134053,a871)))))), % 159.19/158.82 inference(rename_variables,[],[10942])). % 159.19/158.82 cnf(13410,plain, % 159.19/158.82 (~P104(f331(f331(f333(x134101),x134102),f194(f885(x134101,a871))))), % 159.19/158.82 inference(rename_variables,[],[4542])). % 159.19/158.82 cnf(13417,plain, % 159.19/158.82 (~P104(f331(f331(f333(f884(x134171,x134171)),x134172),f262(x134171,f194(f885(x134171,a871)))))), % 159.19/158.82 inference(rename_variables,[],[10939])). % 159.19/158.82 cnf(13420,plain, % 159.19/158.82 (P104(f331(f331(f244(f885(x134201,a871)),x134202),x134202))), % 159.19/158.82 inference(rename_variables,[],[3589])). % 159.19/158.82 cnf(13423,plain, % 159.19/158.82 (P104(f331(f331(f244(a876),f45(a876,x134231,x134232)),x134231))), % 159.19/158.82 inference(rename_variables,[],[3747])). % 159.19/158.82 cnf(13426,plain, % 159.19/158.82 (~E(f331(f331(f150(x134261),x134262),x134263),x134263)), % 159.19/158.82 inference(rename_variables,[],[4494])). % 159.19/158.82 cnf(13449,plain, % 159.19/158.82 (~P104(f331(f331(f194(f885(x134491,f885(x134492,a871))),x134493),x134494))), % 159.19/158.82 inference(rename_variables,[],[4559])). % 159.19/158.82 cnf(13452,plain, % 159.19/158.82 (~P104(f331(f331(f333(f884(f877(x134521),f877(x134521))),f331(f331(f265(f877(x134521),f877(x134521)),f117(x134521)),x134522)),f156(x134521,x134523)))), % 159.19/158.82 inference(rename_variables,[],[4568])). % 159.19/158.82 cnf(13455,plain, % 159.19/158.82 (P104(f331(f331(f244(a876),f2(a876)),x134551))), % 159.19/158.82 inference(rename_variables,[],[3312])). % 159.19/158.82 cnf(13461,plain, % 159.19/158.82 (P104(f331(f331(f244(f885(x134611,a871)),f331(f172(x134611),f170(x134611,x134612,x134613))),f331(f172(x134611),x134613)))), % 159.19/158.82 inference(rename_variables,[],[3990])). % 159.19/158.82 cnf(13471,plain, % 159.19/158.82 (~P104(f331(f331(f333(a876),x134711),f331(f251(a876),f2(a876))))), % 159.19/158.82 inference(rename_variables,[],[11749])). % 159.19/158.82 cnf(13480,plain, % 159.19/158.82 (~P104(f331(f331(f333(x134801),x134802),f194(f885(x134801,a871))))), % 159.19/158.82 inference(rename_variables,[],[4542])). % 159.19/158.82 cnf(13483,plain, % 159.19/158.82 (~P104(f331(f331(f194(f885(x134831,f885(x134832,a871))),x134833),x134834))), % 159.19/158.82 inference(rename_variables,[],[4559])). % 159.19/158.82 cnf(13486,plain, % 159.19/158.82 (P104(f331(f331(f245(a1),f331(f331(f22(a1),x134861),f78(a1))),x134861))), % 159.19/158.82 inference(rename_variables,[],[10751])). % 159.19/158.82 cnf(13495,plain, % 159.19/158.82 (~E(f331(f331(f150(x134951),x134952),x134953),x134953)), % 159.19/158.82 inference(rename_variables,[],[4494])). % 159.19/158.82 cnf(13502,plain, % 159.19/158.82 (P104(f331(f331(f244(f885(x135021,a871)),x135022),f331(f331(f114(f885(x135021,a871)),x135023),f253(f885(x135021,a871)))))), % 159.19/158.82 inference(rename_variables,[],[11150])). % 159.19/158.82 cnf(13507,plain, % 159.19/158.82 (E(f331(f261(x135071,x135071),f262(x135071,x135072)),x135072)), % 159.19/158.82 inference(rename_variables,[],[3246])). % 159.19/158.82 cnf(13514,plain, % 159.19/158.82 (~E(f331(f331(f150(x135141),x135142),x135143),x135143)), % 159.19/158.82 inference(rename_variables,[],[4494])). % 159.19/158.82 cnf(13519,plain, % 159.19/158.82 (~P36(x135191,x135192,x135193,f331(f331(f153(x135194,x135191),x135195),f331(a116,f117(x135194))),f117(x135192))), % 159.19/158.82 inference(rename_variables,[],[11180])). % 159.19/158.82 cnf(13538,plain, % 159.19/158.82 (~P104(f331(f331(f245(a876),f331(f331(f80(a876),x135381),x135382)),x135382))), % 159.19/158.82 inference(rename_variables,[],[4556])). % 159.19/158.82 cnf(13544,plain, % 159.19/158.82 (~P104(f331(f331(f333(x135441),x135442),f194(f885(x135441,a871))))), % 159.19/158.82 inference(rename_variables,[],[4542])). % 159.19/158.82 cnf(13547,plain, % 159.19/158.82 (~P104(f331(f331(f194(f885(x135471,f885(x135472,a871))),x135473),x135474))), % 159.19/158.82 inference(rename_variables,[],[4559])). % 159.19/158.82 cnf(13550,plain, % 159.19/158.82 (P104(f331(f331(f244(f885(x135501,a871)),x135502),x135502))), % 159.19/158.82 inference(rename_variables,[],[3589])). % 159.19/158.82 cnf(13564,plain, % 159.19/158.82 (~E(f331(f331(f105(a876),f331(a116,x135641)),x135641),f331(a116,x135641))), % 159.19/158.82 inference(rename_variables,[],[11496])). % 159.19/158.82 cnf(13567,plain, % 159.19/158.82 (P104(f331(f331(f244(f885(x135671,a871)),x135672),x135672))), % 159.19/158.82 inference(rename_variables,[],[3589])). % 159.19/158.82 cnf(13580,plain, % 159.19/158.82 (E(f331(x135801,f571(f331(x135801,x135802),f331(f236(x135803),x135802),x135801,x135804,x135803)),f331(x135801,x135802))), % 159.19/158.82 inference(rename_variables,[],[11118])). % 159.19/158.82 cnf(13583,plain, % 159.19/158.82 (P104(f331(f331(f333(x135831),f331(x135832,x135833)),f331(f309(x135834,x135831,x135832),f253(f885(x135834,a871)))))), % 159.19/158.82 inference(rename_variables,[],[3894])). % 159.19/158.82 cnf(13590,plain, % 159.19/158.82 (~P104(f331(f331(f333(f884(f877(x135901),f877(x135901))),f331(f331(f265(f877(x135901),f877(x135901)),x135902),f117(x135901))),f146(x135901,x135903)))), % 159.19/158.82 inference(rename_variables,[],[4563])). % 159.19/158.82 cnf(13597,plain, % 159.19/158.82 (~P104(f331(f331(f333(f884(x135971,x135971)),x135972),f262(x135971,f194(f885(x135971,a871)))))), % 159.19/158.82 inference(rename_variables,[],[10939])). % 159.19/158.82 cnf(13604,plain, % 159.19/158.82 (~E(f331(f331(f150(x136041),x136042),x136043),x136043)), % 159.19/158.82 inference(rename_variables,[],[4494])). % 159.19/158.82 cnf(13607,plain, % 159.19/158.82 (~P104(f331(f331(f245(a876),f331(f331(f80(a876),x136071),x136072)),x136071))), % 159.19/158.82 inference(rename_variables,[],[4557])). % 159.19/158.82 cnf(13613,plain, % 159.19/158.82 (~P104(f331(f331(f333(a876),x136131),f331(f251(a876),f2(a876))))), % 159.19/158.82 inference(rename_variables,[],[11749])). % 159.19/158.82 cnf(13620,plain, % 159.19/158.82 (P104(f331(f331(f245(a1),f331(f331(f22(a1),x136201),f78(a1))),x136201))), % 159.19/158.82 inference(rename_variables,[],[10751])). % 159.19/158.82 cnf(13623,plain, % 159.19/158.82 (~E(f331(a116,x136231),f2(a876))), % 159.19/158.82 inference(rename_variables,[],[4478])). % 159.19/158.82 cnf(13626,plain, % 159.19/158.82 (P104(f331(f331(f244(a876),x136261),x136261))), % 159.19/158.82 inference(rename_variables,[],[3290])). % 159.19/158.82 cnf(13629,plain, % 159.19/158.82 (P104(f331(f331(f244(f885(x136291,a871)),f331(f172(x136291),f170(x136291,x136292,x136293))),f331(f172(x136291),x136293)))), % 159.19/158.82 inference(rename_variables,[],[3990])). % 159.19/158.82 cnf(13637,plain, % 159.19/158.82 (P104(f331(f331(f244(f885(x136371,a871)),x136372),f331(f331(f308(x136371),x136373),x136372)))), % 159.19/158.82 inference(rename_variables,[],[3736])). % 159.19/158.82 cnf(13646,plain, % 159.19/158.82 (E(f331(f261(x136461,x136461),f262(x136461,x136462)),x136462)), % 159.19/158.82 inference(rename_variables,[],[3246])). % 159.19/158.82 cnf(13651,plain, % 159.19/158.82 (~P104(f331(f331(f194(f885(x136511,f885(x136512,a871))),x136513),x136514))), % 159.19/158.82 inference(rename_variables,[],[4559])). % 159.19/158.82 cnf(13654,plain, % 159.19/158.82 (P104(f331(f331(f245(a1),f331(f331(f22(a1),x136541),f78(a1))),x136541))), % 159.19/158.82 inference(rename_variables,[],[10751])). % 159.19/158.82 cnf(13676,plain, % 159.19/158.82 (E(f331(x136761,f571(f331(x136761,x136762),f331(f236(x136763),x136762),x136761,x136764,x136763)),f331(x136761,x136762))), % 159.19/158.82 inference(rename_variables,[],[11118])). % 159.19/158.82 cnf(13681,plain, % 159.19/158.82 (~P104(f331(f331(f333(a876),x136811),f331(f251(a876),f2(a876))))), % 159.19/158.82 inference(rename_variables,[],[11749])). % 159.19/158.82 cnf(13684,plain, % 159.19/158.82 (P104(f331(f331(f244(a876),x136841),f331(f331(f81(a876),x136841),x136841)))), % 159.19/158.82 inference(rename_variables,[],[3557])). % 159.19/158.82 cnf(13687,plain, % 159.19/158.82 (P104(f331(f331(f244(a876),x136871),f331(f331(f80(a876),x136871),x136872)))), % 159.19/158.82 inference(rename_variables,[],[3559])). % 159.19/158.82 cnf(13696,plain, % 159.19/158.82 (~P104(f331(f331(f333(a876),x136961),f331(f251(a876),f2(a876))))), % 159.19/158.82 inference(rename_variables,[],[11749])). % 159.19/158.82 cnf(13701,plain, % 159.19/158.82 (E(f331(f331(f126(x137011),x137012),f117(x137011)),x137012)), % 159.19/158.82 inference(rename_variables,[],[3217])). % 159.19/158.82 cnf(13706,plain, % 159.19/158.82 (~P104(f331(f331(f333(x137061),x137062),f194(f885(x137061,a871))))), % 159.19/158.82 inference(rename_variables,[],[4542])). % 159.19/158.82 cnf(13715,plain, % 159.19/158.82 (E(f331(f331(f126(x137151),x137152),f117(x137151)),x137152)), % 159.19/158.82 inference(rename_variables,[],[3217])). % 159.19/158.82 cnf(13722,plain, % 159.19/158.82 (P104(f331(f331(f245(a876),x137221),f331(a116,f331(f331(f80(a876),x137222),x137221))))), % 159.19/158.82 inference(rename_variables,[],[3740])). % 159.19/158.82 cnf(13731,plain, % 159.19/158.82 (P104(f331(f331(f244(f885(x137311,a871)),f331(f172(x137311),f170(x137311,x137312,x137313))),f331(f172(x137311),x137313)))), % 159.19/158.82 inference(rename_variables,[],[3990])). % 159.19/158.82 cnf(13740,plain, % 159.19/158.82 (P104(f331(f331(f244(f885(x137401,a871)),f331(f172(x137401),f170(x137401,x137402,x137403))),f331(f172(x137401),x137403)))), % 159.19/158.82 inference(rename_variables,[],[3990])). % 159.19/158.82 cnf(13747,plain, % 159.19/158.82 (P104(f331(f331(f245(a1),f331(f331(f22(a1),x137471),f78(a1))),x137471))), % 159.19/158.82 inference(rename_variables,[],[10751])). % 159.19/158.82 cnf(13750,plain, % 159.19/158.82 (~P104(f331(f331(f333(a876),x137501),f331(f251(a876),f2(a876))))), % 159.19/158.82 inference(rename_variables,[],[11749])). % 159.19/158.82 cnf(13756,plain, % 159.19/158.82 (~P104(f331(f331(f333(x137561),x137562),f194(f885(x137561,a871))))), % 159.19/158.82 inference(rename_variables,[],[4542])). % 159.19/158.82 cnf(13764,plain, % 159.19/158.82 (E(f331(f261(x137641,x137641),f262(x137641,x137642)),x137642)), % 159.19/158.82 inference(rename_variables,[],[3246])). % 159.19/158.82 cnf(13780,plain, % 159.19/158.82 (~P104(f331(f331(f333(f884(x137801,x137801)),x137802),f262(x137801,f194(f885(x137801,a871)))))), % 159.19/158.82 inference(rename_variables,[],[10939])). % 159.19/158.82 cnf(13787,plain, % 159.19/158.82 (~P36(x137871,x137872,x137873,f331(f331(f153(x137874,x137871),x137875),f331(a116,f117(x137874))),f117(x137872))), % 159.19/158.82 inference(rename_variables,[],[11180])). % 159.19/158.82 cnf(13794,plain, % 159.19/158.82 (P104(f331(f331(f244(a876),x137941),f331(f331(f81(a876),x137941),x137941)))), % 159.19/158.82 inference(rename_variables,[],[3557])). % 159.19/158.82 cnf(13797,plain, % 159.19/158.82 (P104(f331(f331(f333(x137971),f331(x137972,x137973)),f331(f309(x137974,x137971,x137972),f253(f885(x137974,a871)))))), % 159.19/158.82 inference(rename_variables,[],[3894])). % 159.19/158.82 cnf(13800,plain, % 159.19/158.82 (P104(f331(f331(f244(f885(x138001,a871)),f331(f172(x138001),f170(x138001,x138002,x138003))),f331(f172(x138001),x138003)))), % 159.19/158.82 inference(rename_variables,[],[3990])). % 159.19/158.82 cnf(13806,plain, % 159.19/158.82 (P104(f331(f331(f244(a876),x138061),f331(f331(f80(a876),x138061),x138062)))), % 159.19/158.82 inference(rename_variables,[],[3559])). % 159.19/158.82 cnf(13813,plain, % 159.19/158.82 (P104(f331(f331(f244(a876),x138131),x138131))), % 159.19/158.82 inference(rename_variables,[],[3290])). % 159.19/158.82 cnf(13823,plain, % 159.19/158.82 (~E(x138231,f331(a116,x138231))), % 159.19/158.82 inference(rename_variables,[],[10311])). % 159.19/158.82 cnf(13828,plain, % 159.19/158.82 (~E(f331(f331(f150(x138281),x138282),x138283),x138283)), % 159.19/158.82 inference(rename_variables,[],[4494])). % 159.19/158.82 cnf(13833,plain, % 159.19/158.82 (P104(f331(f331(f244(a876),x138331),f331(f331(f81(a876),x138331),x138331)))), % 159.19/158.82 inference(rename_variables,[],[3557])). % 159.19/158.82 cnf(13838,plain, % 159.19/158.82 (~E(f331(f331(f150(x138381),x138382),x138383),x138383)), % 159.19/158.82 inference(rename_variables,[],[4494])). % 159.19/158.82 cnf(13841,plain, % 159.19/158.82 (~P104(f331(f331(f244(a876),f331(a116,x138411)),x138411))), % 159.19/158.82 inference(rename_variables,[],[4539])). % 159.19/158.82 cnf(13844,plain, % 159.19/158.82 (~P104(f331(f331(f333(x138441),x138442),f194(f885(x138441,a871))))), % 159.19/158.82 inference(rename_variables,[],[4542])). % 159.19/158.82 cnf(13847,plain, % 159.19/158.82 (E(f331(f261(x138471,x138471),f262(x138471,x138472)),x138472)), % 159.19/158.82 inference(rename_variables,[],[3246])). % 159.19/158.82 cnf(13854,plain, % 159.19/158.82 (P104(f331(f331(f244(f885(x138541,a871)),f331(f172(x138541),f170(x138541,x138542,x138543))),f331(f172(x138541),x138543)))), % 159.19/158.82 inference(rename_variables,[],[3990])). % 159.19/158.82 cnf(13857,plain, % 159.19/158.82 (~P104(f331(f331(f245(a876),x138571),f331(f331(f105(a876),x138571),x138572)))), % 159.19/158.82 inference(rename_variables,[],[12007])). % 159.19/158.82 cnf(13862,plain, % 159.19/158.82 (~P104(f331(f331(f333(x138621),x138622),f194(f885(x138621,a871))))), % 159.19/158.82 inference(rename_variables,[],[4542])). % 159.19/158.82 cnf(13865,plain, % 159.19/158.82 (~P104(f331(f331(f244(a876),f331(f331(f81(a876),f331(a116,x138651)),f331(a116,x138651))),x138651))), % 159.19/158.82 inference(rename_variables,[],[10690])). % 159.19/158.82 cnf(13868,plain, % 159.19/158.82 (~P104(f331(f331(f333(a876),x138681),f331(f251(a876),f2(a876))))), % 159.19/158.82 inference(rename_variables,[],[11749])). % 159.19/158.82 cnf(13879,plain, % 159.19/158.82 (~P104(f331(f331(f333(f884(x138791,x138791)),x138792),f262(x138791,f194(f885(x138791,a871)))))), % 159.19/158.82 inference(rename_variables,[],[10939])). % 159.19/158.82 cnf(13887,plain, % 159.19/158.82 (~P104(f331(f331(f333(x138871),x138872),f194(f885(x138871,a871))))), % 159.19/158.82 inference(rename_variables,[],[4542])). % 159.19/158.82 cnf(13905,plain, % 159.19/158.82 (E(f331(x139051,f571(f331(x139051,x139052),f331(f236(x139053),x139052),x139051,x139054,x139053)),f331(x139051,x139052))), % 159.19/158.82 inference(rename_variables,[],[11118])). % 159.19/158.82 cnf(13915,plain, % 159.19/158.82 (~P104(f331(f331(f333(x139151),x139152),f331(f310(x139151,x139153,x139154),f194(f885(x139153,a871)))))), % 159.19/158.82 inference(rename_variables,[],[10942])). % 159.19/158.82 cnf(13930,plain, % 159.19/158.82 (E(f331(x139301,f571(f331(x139301,x139302),f331(f236(x139303),x139302),x139301,x139304,x139303)),f331(x139301,x139302))), % 159.19/158.82 inference(rename_variables,[],[11118])). % 159.19/158.82 cnf(13942,plain, % 159.19/158.82 (P104(f331(f331(f244(a876),x139421),f331(f331(f80(a876),x139421),x139422)))), % 159.19/158.82 inference(rename_variables,[],[3559])). % 159.19/158.82 cnf(13954,plain, % 159.19/158.82 (~P104(f331(f331(f333(f884(x139541,x139541)),x139542),f262(x139541,f194(f885(x139541,a871)))))), % 159.19/158.82 inference(rename_variables,[],[10939])). % 159.19/158.82 cnf(13994,plain, % 159.19/158.82 (P104(f331(f331(f244(a876),x139941),f331(f331(f80(a876),x139941),x139942)))), % 159.19/158.82 inference(rename_variables,[],[3559])). % 159.19/158.82 cnf(13997,plain, % 159.19/158.82 (~P104(f331(f331(f333(f884(x139971,x139971)),x139972),f262(x139971,f194(f885(x139971,a871)))))), % 159.19/158.82 inference(rename_variables,[],[10939])). % 159.19/158.82 cnf(14000,plain, % 159.19/158.82 (E(f331(f261(x140001,x140001),f262(x140001,x140002)),x140002)), % 159.19/158.82 inference(rename_variables,[],[3246])). % 159.19/158.82 cnf(14003,plain, % 159.19/158.82 (~P104(f331(f331(f244(a876),f331(a116,x140031)),x140031))), % 159.19/158.82 inference(rename_variables,[],[4539])). % 159.19/158.82 cnf(14021,plain, % 159.19/158.82 (~P104(f331(f331(f333(f884(x140211,x140211)),x140212),f262(x140211,f194(f885(x140211,a871)))))), % 159.19/158.82 inference(rename_variables,[],[10939])). % 159.19/158.82 cnf(14024,plain, % 159.19/158.82 (P104(f331(f331(f333(x140241),f331(x140242,x140243)),f331(f309(x140244,x140241,x140242),f253(f885(x140244,a871)))))), % 159.19/158.82 inference(rename_variables,[],[3894])). % 159.19/158.82 cnf(14048,plain, % 159.19/158.82 (E(f331(f331(f126(x140481),x140482),f117(x140481)),x140482)), % 159.19/158.82 inference(rename_variables,[],[3217])). % 159.19/158.82 cnf(14062,plain, % 159.19/158.82 (~P104(f331(f331(f245(a876),f331(f331(f80(a876),x140621),x140622)),x140621))), % 159.19/158.82 inference(rename_variables,[],[4557])). % 159.19/158.82 cnf(14065,plain, % 159.19/158.82 (~P104(f331(f331(f244(a876),f331(f331(f81(a876),f331(a116,x140651)),f331(a116,x140651))),x140651))), % 159.19/158.82 inference(rename_variables,[],[10690])). % 159.19/158.82 cnf(14068,plain, % 159.19/158.82 (P104(f331(f331(f245(a876),x140681),f331(f331(f81(a876),f331(a116,x140681)),f331(a116,x140681))))), % 159.19/158.82 inference(rename_variables,[],[10607])). % 159.19/158.82 cnf(14086,plain, % 159.19/158.82 (~E(f331(f331(f105(a876),f331(a116,x140861)),x140861),f331(a116,x140861))), % 159.19/158.82 inference(rename_variables,[],[11496])). % 159.19/158.82 cnf(14091,plain, % 159.19/158.82 (~P104(f331(f331(f194(f885(x140911,f885(x140912,a871))),x140913),x140914))), % 159.19/158.82 inference(rename_variables,[],[4559])). % 159.19/158.82 cnf(14105,plain, % 159.19/158.82 (~P104(f331(f331(f244(a876),f331(f331(f81(a876),f331(a116,x141051)),f331(a116,x141051))),x141051))), % 159.19/158.82 inference(rename_variables,[],[10690])). % 159.19/158.82 cnf(14108,plain, % 159.19/158.82 (~P104(f331(f331(f244(a876),f331(a116,x141081)),x141081))), % 159.19/158.82 inference(rename_variables,[],[4539])). % 159.19/158.82 cnf(14111,plain, % 159.19/158.82 (~E(f331(f331(f150(x141111),x141112),x141113),x141113)), % 159.19/158.82 inference(rename_variables,[],[4494])). % 159.19/158.82 cnf(14119,plain, % 159.19/158.82 (E(f331(x141191,f571(f331(x141191,x141192),f331(f236(x141193),x141192),x141191,x141194,x141193)),f331(x141191,x141192))), % 159.19/158.82 inference(rename_variables,[],[11118])). % 159.19/158.82 cnf(14124,plain, % 159.19/158.82 (~P104(f331(f331(f194(f885(x141241,f885(x141242,a871))),x141243),x141244))), % 159.19/158.82 inference(rename_variables,[],[4559])). % 159.19/158.82 cnf(14152,plain, % 159.19/158.82 (~P104(f331(f331(f333(a876),x141521),f331(f251(a876),f2(a876))))), % 159.19/158.82 inference(rename_variables,[],[11749])). % 159.19/158.82 cnf(14155,plain, % 159.19/158.82 (~E(f331(f331(f150(x141551),x141552),x141553),x141553)), % 159.19/158.82 inference(rename_variables,[],[4494])). % 159.19/158.82 cnf(14171,plain, % 159.19/158.82 (~P104(f331(f331(f333(x141711),x141712),f194(f885(x141711,a871))))), % 159.19/158.82 inference(rename_variables,[],[4542])). % 159.19/158.82 cnf(14178,plain, % 159.19/158.82 (~P104(f331(f331(f333(a876),x141781),f331(f251(a876),f2(a876))))), % 159.19/158.82 inference(rename_variables,[],[11749])). % 159.19/158.82 cnf(14212,plain, % 159.19/158.82 (~P104(f331(f331(f333(x142121),x142122),f194(f885(x142121,a871))))), % 159.19/158.82 inference(rename_variables,[],[4542])). % 159.19/158.82 cnf(14278,plain, % 159.19/158.82 (P104(f331(f331(f244(a876),f2(a876)),x142781))), % 159.19/158.82 inference(rename_variables,[],[3312])). % 159.19/158.82 cnf(14355,plain, % 159.19/158.82 ($false), % 159.19/158.82 inference(scs_inference,[],[3318,3729,3320,4038,3877,4074,3075,4558,3293,3290,13626,13813,4546,4531,3929,3366,4563,13590,4522,3384,3742,4542,13410,13480,13544,13706,13756,13844,13862,13887,14171,14212,3990,13461,13629,13731,13740,13800,13854,3894,13583,13797,14024,3769,3394,4478,13623,4551,4494,13426,13495,13514,13604,13828,13838,14111,14155,4491,13379,3272,3370,4068,3939,3291,3747,13423,3312,13455,14278,3602,3736,13637,3589,13420,13550,13567,3738,3557,13400,13684,13794,13833,3559,13687,13806,13942,13994,4179,3740,13722,3246,13507,13646,13764,13847,14000,3868,3217,13701,13715,14048,3128,3241,4564,13397,4568,13452,4530,4539,13368,13841,14003,14108,4548,4553,4559,13449,13483,13547,13651,14091,14124,4556,13538,4557,13607,14062,3500,11496,13564,14086,10311,13823,13039,10576,11182,10365,11933,12644,11807,12934,12435,11310,13208,10547,13120,12217,10607,14068,11853,12685,13122,10595,12698,11050,12437,12466,12473,10929,13134,11150,13502,10893,10751,13486,13620,13654,13747,4302,3656,10924,11215,11174,11118,13580,13676,13905,13930,14119,13150,10290,12958,10926,10424,11263,10695,10538,3349,3323,3230,11116,11197,10976,12946,12949,13226,10700,13206,13250,11631,12146,11140,11188,12255,10275,12704,11803,11749,13471,13613,13681,13696,13750,13868,14152,14178,10708,11104,10939,13373,13417,13597,13780,13879,13954,13997,14021,12069,10942,13405,13915,11145,11218,10690,13865,14065,14105,10793,12007,13857,12028,11268,12489,12405,11180,13519,13787,10954,11184,12051,2882,3843,8,5422,5961,10127,8248,5055,6409,10181,2,8644,4918,5245,6511,8185,9729,6760,7958,9220,7491,8710,6796,5568,8475,9276,6474,8602,8908,9825,6324,6944,6460,5492,6475,6721,5739,8370,9398,6244,6309,8583,5056,6568,9573,6812,6369,5768,9336,4965,5748,5816,6246,5249,8747,6003,6128,6763,8732,5028,8057,9304,5184,4706,5923,9741,7945,5537,9147,9633,7738,9570,5311,7151,9262,6741,6740,7977,9308,5752,6080,4854,6646,8471,9517,5976,6131,8204,7353,7361,5764,7439,5931,7322,9962,5362,8748,9218,5254,4988,4607,6235,8675,6727,6878,8537,5514,5828,7068,6949,5756,7772,9103,9562,5364,6799,8529,9003,4903,5750,5414,6311,5745,7450,9479,9926,6718,5257,6440,4650,7956,8792,7096,7333,9595,6877,5540,8793,5049,5348,6771,9821,9,7780,5213,5349,5520,5685,6248,6481,6720,8536,8643,5413,6365,4989,8818,5781,4755,5817,9679,7172,9035,5584,8513,6358,6900,5035,5464,5696,5874,9571,9497,5223,5231,8041,8913,9719,8024,8450,8415,8922,6105,5176,5554,5644,7539,8898,9503,8692,9068,4591,4658,6747,8885,4940,5797,8567,4579,8879,6719,8512,4987,5775,9957,8829,9074,5996,7181,7828,8448,9758,8535,7410,7818,7959,8558,5598,8903,5405,6062,7359,5230,8437,5758,7184,7767,8228,9069,7381,5479,6375,8399,4651,5250,5699,6176,9307,7332,5678,6063,7307,9285,10128,8132,8040,5586,6127,6281,6798,5248,5288,6785,6059,6767,8790,6100,6463,7644,5964,6408,6319,5556,4750,5211,5382,6129,7739,8378,5754,6866,7540,8873,9282,6765,5318,6883,7420,9144,5057,5334,5343,8611,5062,5201,6265,6901,6042,9590,5120,8780,6109,5914,5704,4966,5418,5447,6256,6815,9924,7156,4902,9819,9731,4713,7305,9678,6229,5895,8603,9235,6361,8465,5611,5937,7689,8395,8538,8056,4876,8599,5915,5657,7334,6879,8770,5614,5740,4714,5177,5555,5761,7558,9936,5536,6366,8811,6108,5403,6359,6524,6768,10055,6287,6362,6937,4932,5602,8539,9219,9626,5336,5783,8616,9433,9435,5110,5309,5238,6769,9755,6418,5743,6231,5222,9434,4584,5326,8272,8498,6084,9034,5185,6086,6567,7239,8557,9588,5803,5910,5317,9102,5353,5692,4870,6082,5301,6280,7625,7704,6367,6184,6728,5330,6313,6439,6980,6999,8734,9460,9923,6085,5853,6193,7493,5682,5228,4707,9036,4656,4689]), % 159.19/158.82 ['proof']). % 159.19/158.82 % SZS output end Proof % 159.19/158.82 % Total time :144.010000s %------------------------------------------------------------------------------