%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW324+1 : TPTP v8.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 18:07:28 EDT 2024 % Result : Theorem 199.45s 199.82s % Output : CNFRefutation 199.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWW324+1 : TPTP v8.2.0. Released v5.2.0. % 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n014.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Wed Jun 19 04:21:39 EDT 2024 % 0.13/0.34 % CPUTime : % 0.56/0.61 start to proof:theBenchmark % 198.95/199.66 %------------------------------------------- % 198.95/199.66 % File :CSE---1.7 % 198.95/199.66 % Problem :theBenchmark % 198.95/199.66 % Transform :cnf % 198.95/199.66 % Format :tptp:raw % 198.95/199.66 % Command :java -jar mcs_scs.jar %d %s % 198.95/199.66 % 198.95/199.66 % Result :Theorem 179.020000s % 198.95/199.66 % Output :CNFRefutation 179.020000s % 198.95/199.66 %------------------------------------------- % 198.95/199.67 %------------------------------------------------------------------------------ % 198.95/199.67 % File : SWW324+1 : TPTP v8.2.0. Released v5.2.0. % 198.95/199.67 % Domain : Software Verification % 198.95/199.67 % Problem : Hoare's Logic with Procedures 435079, 5000 axioms selected % 198.95/199.67 % Version : Especial. % 198.95/199.67 % English : % 198.95/199.67 % 198.95/199.67 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 198.95/199.67 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 198.95/199.67 % Source : [Bla11] % 198.95/199.67 % Names : hoare_435079.5000.p [Bla11] % 198.95/199.67 % 198.95/199.67 % Status : ContradictoryAxioms % 198.95/199.67 % Rating : 0.86 v8.2.0, 0.81 v7.4.0, 0.90 v7.3.0, 0.86 v7.1.0, 0.83 v7.0.0, 0.90 v6.4.0, 0.85 v6.3.0, 0.83 v6.2.0, 0.92 v6.1.0, 0.93 v6.0.0, 0.91 v5.5.0, 0.96 v5.3.0, 1.00 v5.2.0 % 198.95/199.67 % Syntax : Number of formulae : 5230 (1698 unt; 0 def) % 198.95/199.67 % Number of atoms : 12688 (4460 equ) % 198.95/199.67 % Maximal formula atoms : 13 ( 2 avg) % 198.95/199.67 % Number of connectives : 8447 ( 989 ~; 148 |; 706 &) % 198.95/199.67 % ( 892 <=>;5712 =>; 0 <=; 0 <~>) % 198.95/199.67 % Maximal formula depth : 22 ( 6 avg) % 198.95/199.67 % Maximal term depth : 19 ( 2 avg) % 198.95/199.67 % Number of predicates : 151 ( 150 usr; 0 prp; 1-6 aty) % 198.95/199.67 % Number of functors : 391 ( 391 usr; 53 con; 0-10 aty) % 198.95/199.67 % Number of variables : 16736 (16581 !; 155 ?) % 198.95/199.67 % SPC : FOF_CAX_RFO_SEQ % 198.95/199.67 % 198.95/199.67 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 198.95/199.67 % 2011-03-01 11:51:20 % 198.95/199.67 %------------------------------------------------------------------------------ % 198.95/199.67 %----Relevant facts (4985) % 198.95/199.67 fof(fact_ext,axiom, % 198.95/199.67 ! [V_g_2,V_f_2] : % 198.95/199.67 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 198.95/199.67 => V_f_2 = V_g_2 ) ). % 198.95/199.67 % 198.95/199.67 fof(fact_triple_Oinject,axiom, % 198.95/199.67 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] : % 198.95/199.67 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_H_2),V_com_H_2),V_fun2_H_2) % 198.95/199.67 <=> ( V_fun1_2 = V_fun1_H_2 % 198.95/199.67 & V_com_2 = V_com_H_2 % 198.95/199.67 & V_fun2_2 = V_fun2_H_2 ) ) ). % 198.95/199.67 % 198.95/199.67 fof(fact_Loop,axiom, % 198.95/199.67 ! [V_ca_2,V_ba_2,V_Pa_2,V_Ga_2,T_b] : % 198.95/199.67 ( 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),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_ba_2)),V_ca_2),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 198.95/199.67 => 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),V_Pa_2),c_Com_Ocom_OWhile(V_ba_2,V_ca_2)),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_ba_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ). % 198.95/199.67 % 198.95/199.67 fof(fact_triple_Orecs,axiom, % 198.95/199.67 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_c,T_b,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ). % 198.95/199.67 % 198.95/199.67 fof(fact_triple_Osimps_I2_J,axiom, % 198.95/199.67 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_c,T_b,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ). % 198.95/199.67 % 198.95/199.67 fof(fact_empty__not__insert,axiom, % 198.95/199.67 ! [V_A_2,V_a_2,T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ). % 198.95/199.67 % 198.95/199.67 fof(fact_insert__not__empty,axiom, % 198.95/199.67 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 198.95/199.67 % 198.95/199.67 fof(fact_doubleton__eq__iff,axiom, % 198.95/199.67 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 198.95/199.67 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 198.95/199.67 <=> ( ( V_a_2 = V_ca_2 % 198.95/199.67 & V_ba_2 = V_d_2 ) % 198.95/199.67 | ( V_a_2 = V_d_2 % 198.95/199.67 & V_ba_2 = V_ca_2 ) ) ) ). % 198.95/199.67 % 198.95/199.67 fof(fact_singleton__inject,axiom, % 198.95/199.67 ! [V_ba_2,V_a_2,T_b] : % 198.95/199.67 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) % 198.95/199.67 => V_a_2 = V_ba_2 ) ). % 198.95/199.67 % 198.95/199.67 fof(fact_bot__apply,axiom, % 198.95/199.67 ! [V_x_2,T_c,T_b] : % 198.95/199.67 ( class_Orderings_Obot(T_b) % 198.95/199.67 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 198.95/199.67 % 198.95/199.67 fof(fact_com_Osimps_I5_J,axiom, % 198.95/199.67 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] : % 198.95/199.67 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) % 198.95/199.67 <=> ( V_fun_2 = V_fun_H_2 % 198.95/199.67 & V_com_2 = V_com_H_2 ) ) ). % 198.95/199.67 % 198.95/199.67 fof(fact_hoare__derivs_OIf,axiom, % 198.95/199.67 ! [V_d_2,V_Q_2,V_ca_2,V_ba_2,V_Pa_2,V_Ga_2,T_b] : % 198.95/199.67 ( 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),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_ba_2)),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 198.95/199.67 => ( 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),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_ba_2))),V_d_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 198.95/199.67 => 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),V_Pa_2),c_Com_Ocom_OCond(V_ba_2,V_ca_2,V_d_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 198.95/199.67 % 198.95/199.67 fof(fact_o__assoc,axiom, % 198.95/199.67 ! [V_h_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),hAPP(c_Fun_Ocomp(T_e,T_d,T_b,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_h_2) ). % 198.95/199.67 % 198.95/199.67 fof(fact_o__apply,axiom, % 198.95/199.67 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ). % 198.95/199.67 % 198.95/199.67 fof(fact_com_Osimps_I4_J,axiom, % 198.95/199.67 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : % 198.95/199.67 ( 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) % 198.95/199.67 <=> ( V_fun_2 = V_fun_H_2 % 198.95/199.67 & V_com1_2 = V_com1_H_2 % 198.95/199.67 & V_com2_2 = V_com2_H_2 ) ) ). % 198.95/199.67 % 198.95/199.67 fof(fact_cut,axiom, % 198.95/199.67 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] : % 198.95/199.67 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2) % 198.95/199.67 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2) % 198.95/199.67 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ). % 198.95/199.67 % 198.95/199.67 fof(fact_com_Osimps_I52_J,axiom, % 198.95/199.67 ! [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) ). % 198.95/199.67 % 198.95/199.67 fof(fact_com_Osimps_I53_J,axiom, % 198.95/199.67 ! [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) ). % 198.95/199.67 % 198.95/199.67 fof(fact_hoare__derivs_Oequations_I1_J,axiom, % 198.95/199.67 ! [V_a_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ). % 198.95/199.67 % 198.95/199.67 fof(fact_empty,axiom, % 198.95/199.67 ! [V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ). % 198.95/199.67 % 198.95/199.67 fof(fact_derivs__insertD,axiom, % 198.95/199.67 ! [V_ts_2,V_t_2,V_Ga_2,T_b] : % 198.95/199.67 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2)) % 198.95/199.67 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 198.95/199.67 & c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ). % 198.95/199.67 % 198.95/199.67 fof(fact_hoare__derivs_Oinsert,axiom, % 198.95/199.67 ! [V_ts_2,V_t_2,V_Ga_2,T_b] : % 198.95/199.67 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 198.95/199.67 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) % 198.95/199.67 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2)) ) ) ). % 198.95/199.67 % 198.95/199.67 fof(fact_insert__code,axiom, % 198.95/199.67 ! [V_x_2,V_A_2,V_y_2,T_b] : % 198.95/199.67 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2)) % 198.95/199.67 <=> ( V_y_2 = V_x_2 % 198.95/199.67 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ). % 198.95/199.67 % 198.95/199.67 fof(fact_insert__commute,axiom, % 198.95/199.67 ! [V_A_2,V_y_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) ). % 198.95/199.67 % 198.95/199.67 fof(fact_insert__absorb2,axiom, % 198.95/199.67 ! [V_A_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) ). % 198.95/199.67 % 198.95/199.68 fof(fact_o__eq__elim,axiom, % 198.95/199.68 ! [V_d_2,V_ca_2,T_e,V_ba_2,V_a_2,T_b,T_c,T_d] : % 198.95/199.68 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_ba_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_ca_2),V_d_2) % 198.95/199.68 => ! [B_v] : hAPP(V_a_2,hAPP(V_ba_2,B_v)) = hAPP(V_ca_2,hAPP(V_d_2,B_v)) ) ). % 198.95/199.68 % 198.95/199.68 fof(fact_o__eq__dest,axiom, % 198.95/199.68 ! [V_v_2,V_d_2,V_ca_2,T_e,V_ba_2,V_a_2,T_b,T_c,T_d] : % 198.95/199.68 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_ba_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_ca_2),V_d_2) % 198.95/199.68 => hAPP(V_a_2,hAPP(V_ba_2,V_v_2)) = hAPP(V_ca_2,hAPP(V_d_2,V_v_2)) ) ). % 198.95/199.68 % 198.95/199.68 fof(fact_the__elem__eq,axiom, % 198.95/199.68 ! [V_x_2,T_b] : c_Set_Othe__elem(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ). % 198.95/199.68 % 198.95/199.68 fof(fact_hoare__derivs_Oequations_I7_J,axiom, % 198.95/199.68 ! [V_a2_2,V_a1_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_a2_2),c_Com_Ocom_OSKIP),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 198.95/199.68 % 198.95/199.68 fof(fact_hoare__derivs_OSkip,axiom, % 198.95/199.68 ! [V_Pa_2,V_Ga_2,T_b] : 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),V_Pa_2),c_Com_Ocom_OSKIP),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 198.95/199.68 % 198.95/199.68 fof(fact_conseq1,axiom, % 198.95/199.68 ! [V_Pa_2,V_Q_2,V_ca_2,V_P_H_2,V_Ga_2,T_b] : % 198.95/199.68 ( 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),V_P_H_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 198.95/199.68 => ( ! [B_Z,B_s] : % 198.95/199.68 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s)) % 198.95/199.68 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) ) % 198.95/199.68 => 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),V_Pa_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 198.95/199.68 % 198.95/199.68 fof(fact_conseq2,axiom, % 198.95/199.68 ! [V_Q_2,V_Q_H_2,V_ca_2,V_Pa_2,V_Ga_2,T_b] : % 198.95/199.68 ( 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),V_Pa_2),V_ca_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 198.95/199.68 => ( ! [B_Z,B_s] : % 198.95/199.68 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s)) % 198.95/199.68 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s)) ) % 198.95/199.68 => 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),V_Pa_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 198.95/199.68 % 198.95/199.68 fof(fact_Comp,axiom, % 198.95/199.68 ! [V_R_2,V_d_2,V_Q_2,V_ca_2,V_Pa_2,V_Ga_2,T_b] : % 198.95/199.68 ( 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),V_Pa_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 198.95/199.68 => ( 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),V_Q_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 198.95/199.68 => 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),V_Pa_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_b),tc_HOL_Obool)))) ) ) ). % 198.95/199.68 % 198.95/199.68 fof(fact_o__eq__dest__lhs,axiom, % 198.95/199.68 ! [V_v_2,V_ca_2,V_ba_2,V_a_2,T_b,T_c,T_d] : % 198.95/199.68 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_ba_2) = V_ca_2 % 198.95/199.68 => hAPP(V_a_2,hAPP(V_ba_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ). % 198.95/199.68 % 198.95/199.68 fof(fact_comp__cong,axiom, % 198.95/199.68 ! [T_f,T_e,T_d,T_b,T_c,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] : % 198.95/199.68 ( 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)) % 198.95/199.68 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_e,T_b,T_f,V_f_H_2),V_g_H_2),V_x_H_2) ) ). % 198.95/199.68 % 198.95/199.68 fof(fact_override__on__emptyset,axiom, % 198.95/199.68 ! [V_g_2,V_f_2,T_c,T_b] : c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_f_2 ). % 198.95/199.68 % 198.95/199.68 fof(fact_conseq12,axiom, % 198.95/199.68 ! [V_Q_2,V_Pa_2,V_Q_H_2,V_ca_2,V_P_H_2,V_Ga_2,T_b] : % 198.95/199.68 ( 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),V_P_H_2),V_ca_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 198.95/199.68 => ( ! [B_Z,B_s] : % 198.95/199.68 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s)) % 198.95/199.68 => ! [B_s_H] : % 198.95/199.68 ( ! [B_Z_H] : % 198.95/199.68 ( hBOOL(hAPP(hAPP(V_P_H_2,B_Z_H),B_s)) % 198.95/199.68 => hBOOL(hAPP(hAPP(V_Q_H_2,B_Z_H),B_s_H)) ) % 198.95/199.68 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s_H)) ) ) % 198.95/199.68 => 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),V_Pa_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 198.95/199.68 % 198.95/199.68 fof(fact_LoopF,axiom, % 198.95/199.68 ! [V_ca_2,V_ba_2,V_Pa_2,V_Ga_2,T_b] : 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(hAPP(c_COMBC(T_b,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_b),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_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),V_Pa_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate),c_fNot),V_ba_2))),c_Com_Ocom_OWhile(V_ba_2,V_ca_2)),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 198.95/199.68 % 198.95/199.68 fof(fact_com_Osimps_I68_J,axiom, % 198.95/199.68 ! [V_com2_2,V_com1_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(hAPP(V_f5_2,V_fun_2),V_com1_2),V_com2_2) ). % 198.95/199.68 % 198.95/199.68 fof(fact_com_Osimps_I12_J,axiom, % 198.95/199.68 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 198.95/199.68 % 198.95/199.68 fof(fact_com_Osimps_I13_J,axiom, % 198.95/199.68 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 198.95/199.68 % 198.95/199.68 fof(fact_K__record__comp,axiom, % 199.01/199.68 ! [V_x_2,V_f_2,V_ca_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_ca_2)),V_f_2),V_x_2) = V_ca_2 ). % 199.01/199.68 % 199.01/199.68 fof(fact_com_Osimps_I3_J,axiom, % 199.01/199.68 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] : % 199.01/199.68 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) % 199.01/199.68 <=> ( V_com1_2 = V_com1_H_2 % 199.01/199.68 & V_com2_2 = V_com2_H_2 ) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_com_Osimps_I64_J,axiom, % 199.01/199.68 ! [V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSKIP) = V_f1_2 ). % 199.01/199.68 % 199.01/199.68 fof(fact_com_Osimps_I67_J,axiom, % 199.01/199.68 ! [V_com2_2,V_com1_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSemi(V_com1_2,V_com2_2)) = hAPP(hAPP(V_f4_2,V_com1_2),V_com2_2) ). % 199.01/199.68 % 199.01/199.68 fof(fact_o__def,axiom, % 199.01/199.68 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ). % 199.01/199.68 % 199.01/199.68 fof(fact_peek__and__def,axiom, % 199.01/199.68 ! [V_s_2,V_Z_2,V_p_2,V_Pa_2,T_b] : % 199.01/199.68 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_p_2),V_Z_2),V_s_2)) % 199.01/199.68 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_Z_2),V_s_2)) % 199.01/199.68 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_bot__fun__def,axiom, % 199.01/199.68 ! [V_x_2,T_c,T_b] : % 199.01/199.68 ( class_Orderings_Obot(T_b) % 199.01/199.68 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_com_Osimps_I46_J,axiom, % 199.01/199.68 ! [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) ). % 199.01/199.68 % 199.01/199.68 fof(fact_com_Osimps_I47_J,axiom, % 199.01/199.68 ! [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) ). % 199.01/199.68 % 199.01/199.68 fof(fact_com_Osimps_I45_J,axiom, % 199.01/199.68 ! [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) ). % 199.01/199.68 % 199.01/199.68 fof(fact_com_Osimps_I44_J,axiom, % 199.01/199.68 ! [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) ). % 199.01/199.68 % 199.01/199.68 fof(fact_com_Osimps_I16_J,axiom, % 199.01/199.68 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 199.01/199.68 % 199.01/199.68 fof(fact_com_Osimps_I17_J,axiom, % 199.01/199.68 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ). % 199.01/199.68 % 199.01/199.68 fof(fact_com_Osimps_I15_J,axiom, % 199.01/199.68 ! [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 ). % 199.01/199.68 % 199.01/199.68 fof(fact_com_Osimps_I14_J,axiom, % 199.01/199.68 ! [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) ). % 199.01/199.68 % 199.01/199.68 fof(fact_com_Osimps_I69_J,axiom, % 199.01/199.68 ! [V_com_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(V_f6_2,V_fun_2),V_com_2) ). % 199.01/199.68 % 199.01/199.68 fof(fact_escape,axiom, % 199.01/199.68 ! [V_Q_2,V_ca_2,V_Ga_2,T_b,V_Pa_2] : % 199.01/199.68 ( ! [B_Z,B_s] : % 199.01/199.68 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s)) % 199.01/199.68 => 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(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),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_b),hAPP(V_Q_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) % 199.01/199.68 => 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),V_Pa_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_the__elem__def,axiom, % 199.01/199.68 ! [V_X_2,T_b] : c_Set_Othe__elem(T_b,V_X_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ). % 199.01/199.68 % 199.01/199.68 fof(fact_Ass,axiom, % 199.01/199.68 ! [V_a_2,V_X_2,V_Pa_2,V_Ga_2,T_b] : 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(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBB(tc_Com_Ostate,tc_HOL_Obool,tc_Com_Ostate)),V_Pa_2)),hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_Nat_Onat,tc_Com_Ostate),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_Nat_Onat,tc_Com_Ostate)),c_Natural_Oupdate),V_X_2)),V_a_2))),c_Com_Ocom_OAss(V_X_2,V_a_2)),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 199.01/199.68 % 199.01/199.68 fof(fact_hoare__derivs_Oequations_I8_J,axiom, % 199.01/199.68 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBB(tc_Com_Ostate,tc_HOL_Obool,tc_Com_Ostate)),V_a2_2)),hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_Nat_Onat,tc_Com_Ostate),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_Nat_Onat,tc_Com_Ostate)),c_Natural_Oupdate),V_a3_2)),V_a4_2))),c_Com_Ocom_OAss(V_a3_2,V_a4_2)),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 199.01/199.68 % 199.01/199.68 fof(fact_Collect__conv__if,axiom, % 199.01/199.68 ! [T_b,V_a_2,V_Pa_2] : % 199.01/199.68 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 199.01/199.68 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 199.01/199.68 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 199.01/199.68 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_Collect__conv__if2,axiom, % 199.01/199.68 ! [T_b,V_a_2,V_Pa_2] : % 199.01/199.68 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 199.01/199.68 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 199.01/199.68 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 199.01/199.68 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_singleton__conv,axiom, % 199.01/199.68 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 199.01/199.68 % 199.01/199.68 fof(fact_singleton__conv2,axiom, % 199.01/199.68 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 199.01/199.68 % 199.01/199.68 fof(fact_image__constant__conv,axiom, % 199.01/199.68 ! [V_ca_2,T_c,T_b,V_A_2] : % 199.01/199.68 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.68 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 199.01/199.68 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.68 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_subset__singletonD,axiom, % 199.01/199.68 ! [V_x_2,V_A_2,T_b] : % 199.01/199.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 199.01/199.68 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.68 | 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))) ) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_singleton__iff,axiom, % 199.01/199.68 ! [V_a_2,V_ba_2,T_b] : % 199.01/199.68 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 199.01/199.68 <=> V_ba_2 = V_a_2 ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_singletonE,axiom, % 199.01/199.68 ! [V_a_2,V_ba_2,T_b] : % 199.01/199.68 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 199.01/199.68 => V_ba_2 = V_a_2 ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_order__refl,axiom, % 199.01/199.68 ! [V_x,T_a] : % 199.01/199.68 ( class_Orderings_Opreorder(T_a) % 199.01/199.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_equalityCE,axiom, % 199.01/199.68 ! [V_ca_2,T_b,V_B_2,V_A_2] : % 199.01/199.68 ( V_A_2 = V_B_2 % 199.01/199.68 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.01/199.68 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) % 199.01/199.68 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.01/199.68 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_equalityI,axiom, % 199.01/199.68 ! [V_B_2,V_A_2,T_b] : % 199.01/199.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.01/199.68 => V_A_2 = V_B_2 ) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_emptyE,axiom, % 199.01/199.68 ! [V_a_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 199.01/199.68 % 199.01/199.68 fof(fact_insertCI,axiom, % 199.01/199.68 ! [V_ba_2,V_B_2,V_a_2,T_b] : % 199.01/199.68 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 199.01/199.68 => V_a_2 = V_ba_2 ) % 199.01/199.68 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),V_B_2))) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_insertE,axiom, % 199.01/199.68 ! [V_A_2,V_ba_2,V_a_2,T_b] : % 199.01/199.68 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),V_A_2))) % 199.01/199.68 => ( V_a_2 != V_ba_2 % 199.01/199.68 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_subsetD,axiom, % 199.01/199.68 ! [V_ca_2,V_B_2,V_A_2,T_b] : % 199.01/199.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.01/199.68 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_image__eqI,axiom, % 199.01/199.68 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_ba_2] : % 199.01/199.68 ( V_ba_2 = hAPP(V_f_2,V_x_2) % 199.01/199.68 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 199.01/199.68 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_empty__subsetI,axiom, % 199.01/199.68 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ). % 199.01/199.68 % 199.01/199.68 fof(fact_CollectI,axiom, % 199.01/199.68 ! [T_b,V_a_2,V_Pa_2] : % 199.01/199.68 ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 199.01/199.68 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_Collect__mem__eq,axiom, % 199.01/199.68 ! [V_A_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)) = V_A_2 ). % 199.01/199.68 % 199.01/199.68 fof(fact_mem__Collect__eq,axiom, % 199.01/199.68 ! [V_Pa_2,V_a_2,T_b] : % 199.01/199.68 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 199.01/199.68 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_CollectD,axiom, % 199.01/199.68 ! [V_Pa_2,V_a_2,T_b] : % 199.01/199.68 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 199.01/199.68 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_CollectE,axiom, % 199.01/199.68 ! [V_Pa_2,V_a_2,T_b] : % 199.01/199.68 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 199.01/199.68 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_linorder__le__cases,axiom, % 199.01/199.68 ! [V_y,V_x,T_a] : % 199.01/199.68 ( class_Orderings_Olinorder(T_a) % 199.01/199.68 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.01/199.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_le__funE,axiom, % 199.01/199.68 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 199.01/199.68 ( class_Orderings_Oord(T_c) % 199.01/199.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 199.01/199.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ). % 199.01/199.68 % 199.01/199.68 fof(fact_equalityE,axiom, % 199.01/199.68 ! [T_b,V_B_2,V_A_2] : % 199.01/199.68 ( V_A_2 = V_B_2 % 199.01/199.68 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.68 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_rev__image__eqI,axiom, % 199.01/199.69 ! [T_c,V_f_2,V_ba_2,V_A_2,V_x_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.69 => ( V_ba_2 = hAPP(V_f_2,V_x_2) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_xt1_I6_J,axiom, % 199.01/199.69 ! [V_z,V_x,V_y,T_a] : % 199.01/199.69 ( class_Orderings_Oorder(T_a) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_xt1_I5_J,axiom, % 199.01/199.69 ! [V_x,V_y,T_a] : % 199.01/199.69 ( class_Orderings_Oorder(T_a) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.01/199.69 => V_x = V_y ) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_order__trans,axiom, % 199.01/199.69 ! [V_z,V_y,V_x,T_a] : % 199.01/199.69 ( class_Orderings_Opreorder(T_a) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_order__antisym,axiom, % 199.01/199.69 ! [V_y,V_x,T_a] : % 199.01/199.69 ( class_Orderings_Oorder(T_a) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.01/199.69 => V_x = V_y ) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_xt1_I4_J,axiom, % 199.01/199.69 ! [V_c,V_a,V_b,T_a] : % 199.01/199.69 ( class_Orderings_Oorder(T_a) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 199.01/199.69 => ( V_b = V_c % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_ord__le__eq__trans,axiom, % 199.01/199.69 ! [V_c,V_b,V_a,T_a] : % 199.01/199.69 ( class_Orderings_Oord(T_a) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.01/199.69 => ( V_b = V_c % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_subset__trans,axiom, % 199.01/199.69 ! [V_C_2,V_B_2,V_A_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_set__mp,axiom, % 199.01/199.69 ! [V_x_2,V_B_2,V_A_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_set__rev__mp,axiom, % 199.01/199.69 ! [V_B_2,V_A_2,V_x_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_xt1_I3_J,axiom, % 199.01/199.69 ! [V_c,V_b,V_a,T_a] : % 199.01/199.69 ( class_Orderings_Oorder(T_a) % 199.01/199.69 => ( V_a = V_b % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_ord__eq__le__trans,axiom, % 199.01/199.69 ! [V_c,V_b,V_a,T_a] : % 199.01/199.69 ( class_Orderings_Oord(T_a) % 199.01/199.69 => ( V_a = V_b % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_eq__mem__trans,axiom, % 199.01/199.69 ! [V_A_2,T_b,V_ba_2,V_a_2] : % 199.01/199.69 ( V_a_2 = V_ba_2 % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_A_2)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_order__antisym__conv,axiom, % 199.01/199.69 ! [V_x_2,V_y_2,T_b] : % 199.01/199.69 ( class_Orderings_Oorder(T_b) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.01/199.69 <=> V_x_2 = V_y_2 ) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_image__mono,axiom, % 199.01/199.69 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_in__mono,axiom, % 199.01/199.69 ! [V_x_2,V_B_2,V_A_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_eqelem__imp__iff,axiom, % 199.01/199.69 ! [V_A_2,T_b,V_y_2,V_x_2] : % 199.01/199.69 ( V_x_2 = V_y_2 % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.69 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_eqset__imp__iff,axiom, % 199.01/199.69 ! [V_x_2,T_b,V_B_2,V_A_2] : % 199.01/199.69 ( V_A_2 = V_B_2 % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.69 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_imageI,axiom, % 199.01/199.69 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_le__funD,axiom, % 199.01/199.69 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 199.01/199.69 ( class_Orderings_Oord(T_c) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_order__eq__refl,axiom, % 199.01/199.69 ! [V_y,V_x,T_a] : % 199.01/199.69 ( class_Orderings_Opreorder(T_a) % 199.01/199.69 => ( V_x = V_y % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_equalityD2,axiom, % 199.01/199.69 ! [T_b,V_B_2,V_A_2] : % 199.01/199.69 ( V_A_2 = V_B_2 % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_equalityD1,axiom, % 199.01/199.69 ! [T_b,V_B_2,V_A_2] : % 199.01/199.69 ( V_A_2 = V_B_2 % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_com_Osimps_I1_J,axiom, % 199.01/199.69 ! [V_fun_H_2,V_vname_H_2,V_fun_2,V_vname_2] : % 199.01/199.69 ( c_Com_Ocom_OAss(V_vname_2,V_fun_2) = c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) % 199.01/199.69 <=> ( V_vname_2 = V_vname_H_2 % 199.01/199.69 & V_fun_2 = V_fun_H_2 ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_image__iff,axiom, % 199.01/199.69 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 199.01/199.69 <=> ? [B_x] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.01/199.69 & V_z_2 = hAPP(V_f_2,B_x) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_subset__image__iff,axiom, % 199.01/199.69 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 199.01/199.69 <=> ? [B_AA] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2)) % 199.01/199.69 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_order__eq__iff,axiom, % 199.01/199.69 ! [V_y_2,V_x_2,T_b] : % 199.01/199.69 ( class_Orderings_Oorder(T_b) % 199.01/199.69 => ( V_x_2 = V_y_2 % 199.01/199.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.01/199.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_set__eq__subset,axiom, % 199.01/199.69 ! [T_b,V_B_2,V_A_2] : % 199.01/199.69 ( V_A_2 = V_B_2 % 199.01/199.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_linorder__linear,axiom, % 199.01/199.69 ! [V_y,V_x,T_a] : % 199.01/199.69 ( class_Orderings_Olinorder(T_a) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.01/199.69 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_mem__def,axiom, % 199.01/199.69 ! [V_A_2,V_x_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.69 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_le__fun__def,axiom, % 199.01/199.69 ! [V_g_2,V_f_2,T_b,T_c] : % 199.01/199.69 ( class_Orderings_Oord(T_c) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 199.01/199.69 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_Collect__def,axiom, % 199.01/199.69 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ). % 199.01/199.69 % 199.01/199.69 fof(fact_subset__refl,axiom, % 199.01/199.69 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2)) ). % 199.01/199.69 % 199.01/199.69 fof(fact_insert__image,axiom, % 199.01/199.69 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.69 => hAPP(hAPP(c_Set_Oinsert(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_image__ident,axiom, % 199.01/199.69 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 199.01/199.69 % 199.01/199.69 fof(fact_image__image,axiom, % 199.01/199.69 ! [V_A_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_d,T_b,hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_f_2),V_g_2)),V_A_2) ). % 199.01/199.69 % 199.01/199.69 fof(fact_insert__subset,axiom, % 199.01/199.69 ! [V_B_2,V_A_2,V_x_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2)) % 199.01/199.69 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 199.01/199.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_subset__insert,axiom, % 199.01/199.69 ! [V_B_2,V_A_2,V_x_2,T_b] : % 199.01/199.69 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) % 199.01/199.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_insert__compr__raw,axiom, % 199.01/199.69 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 199.01/199.69 % 199.01/199.69 fof(fact_insert__compr,axiom, % 199.01/199.69 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 199.01/199.69 % 199.01/199.69 fof(fact_image__is__empty,axiom, % 199.01/199.69 ! [V_A_2,V_f_2,T_b,T_c] : % 199.01/199.69 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.69 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_image__empty,axiom, % 199.01/199.69 ! [V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.01/199.69 % 199.01/199.69 fof(fact_empty__is__image,axiom, % 199.01/199.69 ! [V_A_2,V_f_2,T_c,T_b] : % 199.01/199.69 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) % 199.01/199.69 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_image__insert,axiom, % 199.01/199.69 ! [V_B_2,V_a_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ). % 199.01/199.69 % 199.01/199.69 fof(fact_Collect__empty__eq,axiom, % 199.01/199.69 ! [V_Pa_2,T_b] : % 199.01/199.69 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.69 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_empty__Collect__eq,axiom, % 199.01/199.69 ! [V_Pa_2,T_b] : % 199.01/199.69 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2) % 199.01/199.69 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_image__compose,axiom, % 199.01/199.69 ! [V_r_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_b,T_c,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),V_r_2)) ). % 199.01/199.69 % 199.01/199.69 fof(fact_image__constant,axiom, % 199.01/199.69 ! [V_ca_2,T_c,V_A_2,V_x_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.69 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_bot__least,axiom, % 199.01/199.69 ! [V_x,T_a] : % 199.01/199.69 ( class_Orderings_Obot(T_a) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_equals0D,axiom, % 199.01/199.69 ! [V_a_2,T_b,V_A_2] : % 199.01/199.69 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.69 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_empty__iff,axiom, % 199.01/199.69 ! [V_ca_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 199.01/199.69 % 199.01/199.69 fof(fact_ex__in__conv,axiom, % 199.01/199.69 ! [V_A_2,T_b] : % 199.01/199.69 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.01/199.69 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_all__not__in__conv,axiom, % 199.01/199.69 ! [V_A_2,T_b] : % 199.01/199.69 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.01/199.69 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_subset__empty,axiom, % 199.01/199.69 ! [V_A_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 199.01/199.69 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_insert__absorb,axiom, % 199.01/199.69 ! [V_A_2,V_a_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.69 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_insertI2,axiom, % 199.01/199.69 ! [V_ba_2,V_B_2,V_a_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),V_B_2))) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_insert__ident,axiom, % 199.01/199.69 ! [V_B_2,V_A_2,V_x_2,T_b] : % 199.01/199.69 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 199.01/199.69 => ( hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2) % 199.01/199.69 <=> V_A_2 = V_B_2 ) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_insert__iff,axiom, % 199.01/199.69 ! [V_A_2,V_ba_2,V_a_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),V_A_2))) % 199.01/199.69 <=> ( V_a_2 = V_ba_2 % 199.01/199.69 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_insertI1,axiom, % 199.01/199.69 ! [V_B_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ). % 199.01/199.69 % 199.01/199.69 fof(fact_insert__mono,axiom, % 199.01/199.69 ! [V_a_2,V_D_2,V_C_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_subset__insertI2,axiom, % 199.01/199.69 ! [V_ba_2,V_B_2,V_A_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),V_B_2))) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_subset__insertI,axiom, % 199.01/199.69 ! [V_a_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ). % 199.01/199.69 % 199.01/199.69 fof(fact_asm,axiom, % 199.01/199.69 ! [V_Ga_2,V_ts_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_Ga_2)) % 199.01/199.69 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_weaken,axiom, % 199.01/199.69 ! [V_ts_2,V_ts_H_2,V_Ga_2,T_b] : % 199.01/199.69 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_ts_H_2)) % 199.01/199.69 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_thin,axiom, % 199.01/199.69 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] : % 199.01/199.69 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_G_H_2),V_Ga_2)) % 199.01/199.69 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_empty__def,axiom, % 199.01/199.69 ! [T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse)) ). % 199.01/199.69 % 199.01/199.69 fof(fact_insert__Collect,axiom, % 199.01/199.69 ! [V_Pa_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_Pa_2)) ). % 199.01/199.69 % 199.01/199.69 fof(fact_com_Osimps_I29_J,axiom, % 199.01/199.69 ! [V_fun_2,V_vname_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ). % 199.01/199.69 % 199.01/199.69 fof(fact_com_Osimps_I28_J,axiom, % 199.01/199.69 ! [V_com_H_2,V_fun_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 199.01/199.69 % 199.01/199.69 fof(fact_com_Osimps_I26_J,axiom, % 199.01/199.69 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ). % 199.01/199.69 % 199.01/199.69 fof(fact_com_Osimps_I27_J,axiom, % 199.01/199.69 ! [V_fun_2,V_vname_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_OAss(V_vname_2,V_fun_2) ). % 199.01/199.69 % 199.01/199.69 fof(fact_com_Osimps_I25_J,axiom, % 199.01/199.69 ! [V_fun_2,V_vname_2,V_com2_H_2,V_com1_H_2] : c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ). % 199.01/199.69 % 199.01/199.69 fof(fact_com_Osimps_I24_J,axiom, % 199.01/199.69 ! [V_com2_H_2,V_com1_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) ). % 199.01/199.69 % 199.01/199.69 fof(fact_com_Osimps_I9_J,axiom, % 199.01/199.69 ! [V_fun_H_2,V_vname_H_2] : c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) != c_Com_Ocom_OSKIP ). % 199.01/199.69 % 199.01/199.69 fof(fact_com_Osimps_I8_J,axiom, % 199.01/199.69 ! [V_fun_H_2,V_vname_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) ). % 199.01/199.69 % 199.01/199.69 fof(fact_override__on__apply__in,axiom, % 199.01/199.69 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.69 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_override__on__apply__notin,axiom, % 199.01/199.69 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 199.01/199.69 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.69 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_com_Osimps_I65_J,axiom, % 199.01/199.69 ! [V_fun_2,V_vname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = hAPP(hAPP(V_f2_2,V_vname_2),V_fun_2) ). % 199.01/199.69 % 199.01/199.69 fof(fact_override__on__def,axiom, % 199.01/199.69 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 199.01/199.69 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.69 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) % 199.01/199.69 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.69 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_pred__subset__eq,axiom, % 199.01/199.69 ! [V_S_2,V_R_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))) % 199.01/199.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_bot__empty__eq,axiom, % 199.01/199.69 ! [V_x_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) % 199.01/199.69 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_the__eq__trivial,axiom, % 199.01/199.69 ! [V_a_2,T_b] : c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ). % 199.01/199.69 % 199.01/199.69 fof(fact_the__sym__eq__trivial,axiom, % 199.01/199.69 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 199.01/199.69 % 199.01/199.69 fof(fact_pred__equals__eq,axiom, % 199.01/199.69 ! [V_S_2,V_R_2,T_b] : % 199.01/199.69 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2) % 199.01/199.69 <=> V_R_2 = V_S_2 ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_the__inv__into__def,axiom, % 199.01/199.69 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ). % 199.01/199.69 % 199.01/199.69 fof(fact_diff__single__insert,axiom, % 199.01/199.69 ! [V_B_2,V_x_2,V_A_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) % 199.01/199.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_subset__insert__iff,axiom, % 199.01/199.69 ! [V_B_2,V_x_2,V_A_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) % 199.01/199.69 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) ) % 199.01/199.69 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_imageE,axiom, % 199.01/199.69 ! [V_A_2,V_f_2,T_c,V_ba_2,T_b] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 199.01/199.69 => ~ ! [B_x] : % 199.01/199.69 ( V_ba_2 = hAPP(V_f_2,B_x) % 199.01/199.69 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 199.01/199.69 % 199.01/199.69 fof(fact_image__subsetI,axiom, % 199.01/199.69 ! [V_B_2,V_f_2,T_c,V_A_2,T_b] : % 199.01/199.69 ( ! [B_x] : % 199.01/199.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,B_x)),V_B_2)) ) % 199.01/199.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_rev__predicate1D,axiom, % 199.01/199.70 ! [V_Q_2,T_b,V_x_2,V_Pa_2] : % 199.01/199.70 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2)) % 199.01/199.70 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_predicate1D,axiom, % 199.01/199.70 ! [V_x_2,V_Q_2,V_Pa_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2)) % 199.01/199.70 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.01/199.70 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_DiffI,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.01/199.70 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_DiffE,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.01/199.70 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_Diff__idemp,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 199.01/199.70 % 199.01/199.70 fof(fact_Diff__iff,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.01/199.70 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.01/199.70 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_DiffD1,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_DiffD2,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.01/199.70 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_empty__Diff,axiom, % 199.01/199.70 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.01/199.70 % 199.01/199.70 fof(fact_Diff__empty,axiom, % 199.01/199.70 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ). % 199.01/199.70 % 199.01/199.70 fof(fact_Diff__cancel,axiom, % 199.01/199.70 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.01/199.70 % 199.01/199.70 fof(fact_Diff__subset,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ). % 199.01/199.70 % 199.01/199.70 fof(fact_Diff__mono,axiom, % 199.01/199.70 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_double__diff,axiom, % 199.01/199.70 ! [V_C_2,V_B_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.01/199.70 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_insert__Diff1,axiom, % 199.01/199.70 ! [V_A_2,V_B_2,V_x_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 199.01/199.70 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_insert__Diff__if,axiom, % 199.01/199.70 ! [V_A_2,V_B_2,V_x_2,T_b] : % 199.01/199.70 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 199.01/199.70 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) % 199.01/199.70 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 199.01/199.70 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_Diff__insert,axiom, % 199.01/199.70 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 199.01/199.70 % 199.01/199.70 fof(fact_Diff__insert2,axiom, % 199.01/199.70 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2) ). % 199.01/199.70 % 199.01/199.70 fof(fact_insert__Diff__single,axiom, % 199.01/199.70 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ). % 199.01/199.70 % 199.01/199.70 fof(fact_image__diff__subset,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 199.01/199.70 % 199.01/199.70 fof(fact_set__diff__eq,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) ). % 199.01/199.70 % 199.01/199.70 fof(fact_Diff__insert__absorb,axiom, % 199.01/199.70 ! [V_A_2,V_x_2,T_b] : % 199.01/199.70 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.70 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_insert__Diff,axiom, % 199.01/199.70 ! [V_A_2,V_a_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.70 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = V_A_2 ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_eq__mem,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2))) % 199.01/199.70 <=> V_x_2 = V_y_2 ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__diff__def,axiom, % 199.01/199.70 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 199.01/199.70 ( class_Groups_Ominus(T_b) % 199.01/199.70 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_flat__lub__def,axiom, % 199.01/199.70 ! [V_ba_2,V_A_2,T_b] : % 199.01/199.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 199.01/199.70 => c_Partial__Function_Oflat__lub(T_b,V_ba_2,V_A_2) = V_ba_2 ) % 199.01/199.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 199.01/199.70 => c_Partial__Function_Oflat__lub(T_b,V_ba_2,V_A_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_minus__apply,axiom, % 199.01/199.70 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 199.01/199.70 ( class_Groups_Ominus(T_b) % 199.01/199.70 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_diff__eq__diff__less__eq,axiom, % 199.01/199.70 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 199.01/199.70 ( class_Groups_Oordered__ab__group__add(T_b) % 199.01/199.70 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ca_2),V_d_2) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) % 199.01/199.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_d_2)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__upd__image,axiom, % 199.01/199.70 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 199.01/199.70 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.70 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) % 199.01/199.70 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.70 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_psubset__insert__iff,axiom, % 199.01/199.70 ! [V_B_2,V_x_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) % 199.01/199.70 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 199.01/199.70 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 199.01/199.70 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) ) % 199.01/199.70 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fold__graph_H_Ointros_I2_J,axiom, % 199.01/199.70 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.70 => ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_y_2) % 199.01/199.70 => c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_inj__on__insert,axiom, % 199.01/199.70 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) % 199.01/199.70 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.70 & ~ hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_the__inv__into__comp,axiom, % 199.01/199.70 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)) % 199.01/199.70 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)))) % 199.01/199.70 => hAPP(c_Fun_Othe__inv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Fun_Othe__inv__into(T_d,T_b,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_the__inv__into__into,axiom, % 199.01/199.70 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__left__comm__idem__remove,axiom, % 199.01/199.70 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__upd__triv,axiom, % 199.01/199.70 ! [V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,hAPP(V_f_2,V_x_2)) = V_f_2 ). % 199.01/199.70 % 199.01/199.70 fof(fact_inj__on__empty,axiom, % 199.01/199.70 ! [V_f_2,T_c,T_b] : c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom, % 199.01/199.70 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 199.01/199.70 => c_Finite__Set_Ofun__left__comm__idem(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom, % 199.01/199.70 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 199.01/199.70 => 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) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_linorder__cases,axiom, % 199.01/199.70 ! [V_y,V_x,T_a] : % 199.01/199.70 ( class_Orderings_Olinorder(T_a) % 199.01/199.70 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.01/199.70 => ( V_x != V_y % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__upd__idem,axiom, % 199.01/199.70 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] : % 199.01/199.70 ( hAPP(V_f_2,V_x_2) = V_y_2 % 199.01/199.70 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_order__less__asym,axiom, % 199.01/199.70 ! [V_y,V_x,T_a] : % 199.01/199.70 ( class_Orderings_Opreorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.01/199.70 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_xt1_I10_J,axiom, % 199.01/199.70 ! [V_z,V_x,V_y,T_a] : % 199.01/199.70 ( class_Orderings_Oorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_order__less__trans,axiom, % 199.01/199.70 ! [V_z,V_y,V_x,T_a] : % 199.01/199.70 ( class_Orderings_Opreorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_xt1_I2_J,axiom, % 199.01/199.70 ! [V_c,V_a,V_b,T_a] : % 199.01/199.70 ( class_Orderings_Oorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 199.01/199.70 => ( V_b = V_c % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_ord__less__eq__trans,axiom, % 199.01/199.70 ! [V_c,V_b,V_a,T_a] : % 199.01/199.70 ( class_Orderings_Oord(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.01/199.70 => ( V_b = V_c % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_psubset__trans,axiom, % 199.01/199.70 ! [V_C_2,V_B_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_xt1_I1_J,axiom, % 199.01/199.70 ! [V_c,V_b,V_a,T_a] : % 199.01/199.70 ( class_Orderings_Oorder(T_a) % 199.01/199.70 => ( V_a = V_b % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_ord__eq__less__trans,axiom, % 199.01/199.70 ! [V_c,V_b,V_a,T_a] : % 199.01/199.70 ( class_Orderings_Oord(T_a) % 199.01/199.70 => ( V_a = V_b % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_xt1_I9_J,axiom, % 199.01/199.70 ! [V_a,V_b,T_a] : % 199.01/199.70 ( class_Orderings_Oorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 199.01/199.70 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_order__less__asym_H,axiom, % 199.01/199.70 ! [V_b,V_a,T_a] : % 199.01/199.70 ( class_Orderings_Opreorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.01/199.70 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_order__less__imp__not__eq2,axiom, % 199.01/199.70 ! [V_y,V_x,T_a] : % 199.01/199.70 ( class_Orderings_Oorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.01/199.70 => V_y != V_x ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_order__less__imp__not__eq,axiom, % 199.01/199.70 ! [V_y,V_x,T_a] : % 199.01/199.70 ( class_Orderings_Oorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.01/199.70 => V_x != V_y ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_order__less__imp__not__less,axiom, % 199.01/199.70 ! [V_y,V_x,T_a] : % 199.01/199.70 ( class_Orderings_Opreorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.01/199.70 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_order__less__not__sym,axiom, % 199.01/199.70 ! [V_y,V_x,T_a] : % 199.01/199.70 ( class_Orderings_Opreorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.01/199.70 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_less__imp__neq,axiom, % 199.01/199.70 ! [V_y,V_x,T_a] : % 199.01/199.70 ( class_Orderings_Oorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.01/199.70 => V_x != V_y ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_linorder__neqE,axiom, % 199.01/199.70 ! [V_y,V_x,T_a] : % 199.01/199.70 ( class_Orderings_Olinorder(T_a) % 199.01/199.70 => ( V_x != V_y % 199.01/199.70 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__upd__other,axiom, % 199.01/199.70 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 199.01/199.70 ( V_z_2 != V_x_2 % 199.01/199.70 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__upd__twist,axiom, % 199.01/199.70 ! [V_d_2,V_ba_2,V_m_2,T_c,T_b,V_ca_2,V_a_2] : % 199.01/199.70 ( V_a_2 != V_ca_2 % 199.01/199.70 => c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_a_2,V_ba_2),V_ca_2,V_d_2) = c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_ca_2,V_d_2),V_a_2,V_ba_2) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_linorder__antisym__conv3,axiom, % 199.01/199.70 ! [V_x_2,V_y_2,T_b] : % 199.01/199.70 ( class_Orderings_Olinorder(T_b) % 199.01/199.70 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 199.01/199.70 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.01/199.70 <=> V_x_2 = V_y_2 ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__upd__apply,axiom, % 199.01/199.70 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 199.01/199.70 ( ( V_z_2 = V_x_2 % 199.01/199.70 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 ) % 199.01/199.70 & ( V_z_2 != V_x_2 % 199.01/199.70 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__upd__same,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : hAPP(c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2),V_x_2) = V_y_2 ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__upd__upd,axiom, % 199.01/199.70 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_x_2,V_z_2) = c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_z_2) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__upd__idem__iff,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2 % 199.01/199.70 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_linorder__less__linear,axiom, % 199.01/199.70 ! [V_y,V_x,T_a] : % 199.01/199.70 ( class_Orderings_Olinorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.01/199.70 | V_x = V_y % 199.01/199.70 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_inj__on__def,axiom, % 199.01/199.70 ! [V_A_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.70 <=> ! [B_x] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.01/199.70 => ! [B_xa] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 199.01/199.70 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa) % 199.01/199.70 => B_x = B_xa ) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_not__less__iff__gr__or__eq,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,T_b] : % 199.01/199.70 ( class_Orderings_Olinorder(T_b) % 199.01/199.70 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.01/199.70 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 199.01/199.70 | V_x_2 = V_y_2 ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_linorder__neq__iff,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,T_b] : % 199.01/199.70 ( class_Orderings_Olinorder(T_b) % 199.01/199.70 => ( V_x_2 != V_y_2 % 199.01/199.70 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.01/199.70 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_order__less__irrefl,axiom, % 199.01/199.70 ! [V_x,T_a] : % 199.01/199.70 ( class_Orderings_Opreorder(T_a) % 199.01/199.70 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_inj__on__strict__subset,axiom, % 199.01/199.70 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_inj__on__id2,axiom, % 199.01/199.70 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ). % 199.01/199.70 % 199.01/199.70 fof(fact_diff__eq__diff__less,axiom, % 199.01/199.70 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 199.01/199.70 ( class_Groups_Oordered__ab__group__add(T_b) % 199.01/199.70 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ca_2),V_d_2) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) % 199.01/199.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__upd__def,axiom, % 199.01/199.70 ! [V_ba_2,V_f_2,T_c,T_b,V_a_2,V_x_2] : % 199.01/199.70 ( ( V_x_2 = V_a_2 % 199.01/199.70 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_ba_2),V_x_2) = V_ba_2 ) % 199.01/199.70 & ( V_x_2 != V_a_2 % 199.01/199.70 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_ba_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__left__comm__idem__insert,axiom, % 199.01/199.70 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom, % 199.01/199.70 ! [V_x_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 199.01/199.70 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_inj__onD,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.70 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 199.01/199.70 => V_x_2 = V_y_2 ) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_inj__on__iff,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 199.01/199.70 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 199.01/199.70 <=> V_x_2 = V_y_2 ) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_inj__on__contraD,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.70 => ( V_x_2 != V_y_2 % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 199.01/199.70 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_subset__inj__on,axiom, % 199.01/199.70 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_inj__on__fun__updI,axiom, % 199.01/199.70 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.70 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 199.01/199.70 => c_Fun_Oinj__on(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_A_2) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_inj__on__imageI2,axiom, % 199.01/199.70 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_H_2),V_f_2),V_A_2) % 199.01/199.70 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_inj__on__diff,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.70 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fold__graph_H_Ointros_I1_J,axiom, % 199.01/199.70 ! [V_z_2,V_f_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_z_2) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fold__graph_H_Oequations_I1_J,axiom, % 199.01/199.70 ! [V_a2_2,V_a1_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_a2_2) ). % 199.01/199.70 % 199.01/199.70 fof(fact_less__fun__def,axiom, % 199.01/199.70 ! [V_g_2,V_f_2,T_b,T_c] : % 199.01/199.70 ( class_Orderings_Oord(T_c) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 199.01/199.70 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 199.01/199.70 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_xt1_I8_J,axiom, % 199.01/199.70 ! [V_z,V_x,V_y,T_a] : % 199.01/199.70 ( class_Orderings_Oorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_order__le__less__trans,axiom, % 199.01/199.70 ! [V_z,V_y,V_x,T_a] : % 199.01/199.70 ( class_Orderings_Opreorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_xt1_I7_J,axiom, % 199.01/199.70 ! [V_z,V_x,V_y,T_a] : % 199.01/199.70 ( class_Orderings_Oorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_order__less__le__trans,axiom, % 199.01/199.70 ! [V_z,V_y,V_x,T_a] : % 199.01/199.70 ( class_Orderings_Opreorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_xt1_I11_J,axiom, % 199.01/199.70 ! [V_a,V_b,T_a] : % 199.01/199.70 ( class_Orderings_Oorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 199.01/199.70 => ( V_a != V_b % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_order__le__neq__trans,axiom, % 199.01/199.70 ! [V_b,V_a,T_a] : % 199.01/199.70 ( class_Orderings_Oorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.01/199.70 => ( V_a != V_b % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_order__le__imp__less__or__eq,axiom, % 199.01/199.70 ! [V_y,V_x,T_a] : % 199.01/199.70 ( class_Orderings_Oorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.01/199.70 | V_x = V_y ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_linorder__antisym__conv2,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,T_b] : % 199.01/199.70 ( class_Orderings_Olinorder(T_b) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.01/199.70 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.01/199.70 <=> V_x_2 = V_y_2 ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_order__less__imp__le,axiom, % 199.01/199.70 ! [V_y,V_x,T_a] : % 199.01/199.70 ( class_Orderings_Opreorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_leD,axiom, % 199.01/199.70 ! [V_x,V_y,T_a] : % 199.01/199.70 ( class_Orderings_Olinorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.01/199.70 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_xt1_I12_J,axiom, % 199.01/199.70 ! [V_b,V_a,T_a] : % 199.01/199.70 ( class_Orderings_Oorder(T_a) % 199.01/199.70 => ( V_a != V_b % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_order__neq__le__trans,axiom, % 199.01/199.70 ! [V_b,V_a,T_a] : % 199.01/199.70 ( class_Orderings_Oorder(T_a) % 199.01/199.70 => ( V_a != V_b % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_linorder__antisym__conv1,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,T_b] : % 199.01/199.70 ( class_Orderings_Olinorder(T_b) % 199.01/199.70 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.01/199.70 <=> V_x_2 = V_y_2 ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_not__leE,axiom, % 199.01/199.70 ! [V_x,V_y,T_a] : % 199.01/199.70 ( class_Orderings_Olinorder(T_a) % 199.01/199.70 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_leI,axiom, % 199.01/199.70 ! [V_y,V_x,T_a] : % 199.01/199.70 ( class_Orderings_Olinorder(T_a) % 199.01/199.70 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_order__le__less,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,T_b] : % 199.01/199.70 ( class_Orderings_Oorder(T_b) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.01/199.70 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.01/199.70 | V_x_2 = V_y_2 ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_less__le__not__le,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,T_b] : % 199.01/199.70 ( class_Orderings_Opreorder(T_b) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.01/199.70 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.01/199.70 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_order__less__le,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,T_b] : % 199.01/199.70 ( class_Orderings_Oorder(T_b) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.01/199.70 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.01/199.70 & V_x_2 != V_y_2 ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_linorder__le__less__linear,axiom, % 199.01/199.70 ! [V_y,V_x,T_a] : % 199.01/199.70 ( class_Orderings_Olinorder(T_a) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.01/199.70 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_linorder__not__le,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,T_b] : % 199.01/199.70 ( class_Orderings_Olinorder(T_b) % 199.01/199.70 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.01/199.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_linorder__not__less,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,T_b] : % 199.01/199.70 ( class_Orderings_Olinorder(T_b) % 199.01/199.70 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 199.01/199.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_psubsetD,axiom, % 199.01/199.70 ! [V_ca_2,V_B_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_not__psubset__empty,axiom, % 199.01/199.70 ! [V_A_2,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 199.01/199.70 % 199.01/199.70 fof(fact_subset__psubset__trans,axiom, % 199.01/199.70 ! [V_C_2,V_B_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_psubset__subset__trans,axiom, % 199.01/199.70 ! [V_C_2,V_B_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_psubset__imp__subset,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_subset__iff__psubset__eq,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 | V_A_2 = V_B_2 ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_psubset__eq,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 & V_A_2 != V_B_2 ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fun__upd__comp,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),c_Fun_Ofun__upd(T_b,T_d,V_g_2,V_x_2,V_y_2)) = c_Fun_Ofun__upd(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2),V_x_2,hAPP(V_f_2,V_y_2)) ). % 199.01/199.70 % 199.01/199.70 fof(fact_comp__inj__on__iff,axiom, % 199.01/199.70 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.70 => ( c_Fun_Oinj__on(T_c,T_d,V_f_H_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) % 199.01/199.70 <=> c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_comp__inj__on,axiom, % 199.01/199.70 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.70 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) % 199.01/199.70 => c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_inj__on__imageI,axiom, % 199.01/199.70 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2),V_A_2) % 199.01/199.70 => c_Fun_Oinj__on(T_d,T_c,V_g_2,hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_A_2)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_the__inv__into__f__eq,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.70 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.70 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_the__inv__into__f__f,axiom, % 199.01/199.70 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.70 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_the__inv__into__onto,axiom, % 199.01/199.70 ! [V_A_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.70 => hAPP(c_Set_Oimage(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_inj__on__the__inv__into,axiom, % 199.01/199.70 ! [V_A_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.70 => c_Fun_Oinj__on(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_inj__on__image__set__diff,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.01/199.70 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_f__the__inv__into__f,axiom, % 199.01/199.70 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 199.01/199.70 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_diff__eq__diff__eq,axiom, % 199.01/199.70 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 199.01/199.70 ( class_Groups_Oab__group__add(T_b) % 199.01/199.70 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ca_2),V_d_2) % 199.01/199.70 => ( V_a_2 = V_ba_2 % 199.01/199.70 <=> V_ca_2 = V_d_2 ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_inj__on__iff__surj,axiom, % 199.01/199.70 ! [V_A_H_2,T_c,T_b,V_A_2] : % 199.01/199.70 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.70 => ( ? [B_f] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 199.01/199.70 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_A_H_2)) ) % 199.01/199.70 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fold__graph_H_Oequations_I2_J,axiom, % 199.01/199.70 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] : % 199.01/199.70 ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)) % 199.01/199.70 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.70 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 ) % 199.01/199.70 | ? [B_x,B_y] : % 199.01/199.70 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y) % 199.01/199.70 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2)) % 199.01/199.70 & c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),B_y) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_Diff1__fold__graph,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_y_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.70 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_mk__less__def,axiom, % 199.01/199.70 ! [V_y_2,V_x_2,V_R_2,T_b] : % 199.01/199.70 ( c_Partial__Function_Omk__less(T_b,V_R_2,V_x_2,V_y_2) % 199.01/199.70 <=> ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 199.01/199.70 & ~ hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_psubset__imp__ex__mem,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 => ? [B_b] : hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_folding__one_Osingleton,axiom, % 199.01/199.70 ! [V_x_2,V_F_2,V_f_2,T_b] : % 199.01/199.70 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.01/199.70 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fold1Set__sing,axiom, % 199.01/199.70 ! [V_ba_2,V_a_2,V_f_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_ba_2)) % 199.01/199.70 <=> V_a_2 = V_ba_2 ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_nonempty__iff,axiom, % 199.01/199.70 ! [T_b,V_A_2] : % 199.01/199.70 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.70 <=> ? [B_x,B_B] : % 199.01/199.70 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_B) % 199.01/199.70 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_B)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_quotient__diff1,axiom, % 199.01/199.70 ! [V_a_2,V_A_2,V_r_2,T_b] : % 199.01/199.70 ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.70 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_Powp__mono,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_b,V_A_2)),c_Predicate_OPowp(T_b,V_B_2))) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite__surj__inj,axiom, % 199.01/199.70 ! [V_f_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2))) % 199.01/199.70 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite_OemptyI,axiom, % 199.01/199.70 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite_OinsertI,axiom, % 199.01/199.70 ! [V_a_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite__imageI,axiom, % 199.01/199.70 ! [V_h_2,T_c,V_F_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.01/199.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite__Diff,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite__Collect__conjI,axiom, % 199.01/199.70 ! [V_Q_2,V_Pa_2,T_b] : % 199.01/199.70 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 199.01/199.70 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) % 199.01/199.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Q_2)))) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite__Collect__subsets,axiom, % 199.01/199.70 ! [V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fold1Set_Ointros,axiom, % 199.01/199.70 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2)) % 199.01/199.70 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.70 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_x_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite,axiom, % 199.01/199.70 ! [V_A_2,T_b] : % 199.01/199.70 ( class_Finite__Set_Ofinite(T_b) % 199.01/199.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite__code,axiom, % 199.01/199.70 ! [V_A_2,T_b] : % 199.01/199.70 ( class_Finite__Set_Ofinite(T_b) % 199.01/199.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fold__graph__imp__finite,axiom, % 199.01/199.70 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 199.01/199.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_nat__seg__image__imp__finite,axiom, % 199.01/199.70 ! [V_n_2,V_f_2,T_b,V_A_2] : % 199.01/199.70 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_n_2))) % 199.01/199.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_quotient__empty,axiom, % 199.01/199.70 ! [V_r_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ). % 199.01/199.70 % 199.01/199.70 fof(fact_quotient__is__empty2,axiom, % 199.01/199.70 ! [V_r_2,V_A_2,T_b] : % 199.01/199.70 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) % 199.01/199.70 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_quotient__is__empty,axiom, % 199.01/199.70 ! [V_r_2,V_A_2,T_b] : % 199.01/199.70 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 199.01/199.70 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite_Oequations_I1_J,axiom, % 199.01/199.70 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite__insert,axiom, % 199.01/199.70 ! [V_A_2,V_a_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) % 199.01/199.70 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite__subset,axiom, % 199.01/199.70 ! [V_B_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.01/199.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_rev__finite__subset,axiom, % 199.01/199.70 ! [V_A_2,V_B_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite__Diff2,axiom, % 199.01/199.70 ! [V_A_2,V_B_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.01/199.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.01/199.70 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fold__graph_Oequations_I1_J,axiom, % 199.01/199.70 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fold__graph_OemptyI,axiom, % 199.01/199.70 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ). % 199.01/199.70 % 199.01/199.70 fof(fact_empty__fold__graphE,axiom, % 199.01/199.70 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) % 199.01/199.70 => V_x_2 = V_z_2 ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite__Collect__disjI,axiom, % 199.01/199.70 ! [V_Q_2,V_Pa_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Q_2)))) % 199.01/199.70 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 199.01/199.70 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_folding__one_Oinsert,axiom, % 199.01/199.70 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.01/199.70 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.01/199.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.70 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.70 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_folding__one_Oinsert__remove,axiom, % 199.01/199.70 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.01/199.70 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.01/199.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.70 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.70 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 199.01/199.70 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.70 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_empty__fold1SetE,axiom, % 199.01/199.70 ! [V_x_2,V_f_2,T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fold1Set__nonempty,axiom, % 199.01/199.70 ! [V_x_2,V_A_2,V_f_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2)) % 199.01/199.70 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite__surj,axiom, % 199.01/199.70 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 199.01/199.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite__Diff__insert,axiom, % 199.01/199.70 ! [V_B_2,V_a_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)))) % 199.01/199.70 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_finite__imageD,axiom, % 199.01/199.70 ! [V_A_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 199.01/199.70 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) % 199.01/199.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_fold__graph_OinsertI,axiom, % 199.01/199.70 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 199.01/199.70 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.70 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 199.01/199.70 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_folding__one_Oremove,axiom, % 199.01/199.70 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.01/199.70 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.01/199.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.70 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.70 => hAPP(V_F_2,V_A_2) = V_x_2 ) % 199.01/199.70 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.70 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_endo__inj__surj,axiom, % 199.01/199.70 ! [V_f_2,V_A_2,T_b] : % 199.01/199.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)),V_A_2)) % 199.01/199.70 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) % 199.01/199.70 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_folding_Oremove,axiom, % 199.01/199.70 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.01/199.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.70 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ). % 199.01/199.70 % 199.01/199.70 fof(fact_folding__image__simple_Oremove,axiom, % 199.01/199.70 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.70 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.01/199.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.01/199.70 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 199.01/199.71 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__image_Oreindex,axiom, % 199.01/199.71 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.01/199.71 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2) % 199.01/199.71 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_c,T_b,T_c,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding_Oinsert__remove,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_finite__pointwise,axiom, % 199.01/199.71 ! [V_Q_2,V_Pa_2,V_Q_H_2,V_c0_2,V_P_H_2,V_Ga_2,T_c,V_U_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_U_2)) % 199.01/199.71 => ( ! [B_p] : % 199.01/199.71 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),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_c),tc_HOL_Obool)))) % 199.01/199.71 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),hAPP(V_Pa_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_c),tc_HOL_Obool)))) ) % 199.01/199.71 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(c_Set_Oimage(T_b,tc_Hoare__Mirabelle_Otriple(T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),T_b),c_Hoare__Mirabelle_Otriple_Otriple(T_c)),V_P_H_2)),V_c0_2)),V_Q_H_2)),V_U_2)) % 199.01/199.71 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(c_Set_Oimage(T_b,tc_Hoare__Mirabelle_Otriple(T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),T_b),c_Hoare__Mirabelle_Otriple_Otriple(T_c)),V_Pa_2)),V_c0_2)),V_Q_2)),V_U_2)) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__image__simple_Oinsert__remove,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.01/199.71 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__idem_Osubset__comp__idem,axiom, % 199.01/199.71 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.01/199.71 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__idem_Oinsert__idem,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__one_Oclosed,axiom, % 199.01/199.71 ! [V_A_2,V_F_2,V_f_2,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.71 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__idem_Oin__comp__idem,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.71 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_finite__Collect__le__nat,axiom, % 199.01/199.71 ! [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)))) ). % 199.01/199.71 % 199.01/199.71 fof(fact_finite__Collect__less__nat,axiom, % 199.01/199.71 ! [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)))) ). % 199.01/199.71 % 199.01/199.71 fof(fact_termination__basic__simps_I5_J,axiom, % 199.01/199.71 ! [V_y,V_x] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding_Ocommute__left__comp,axiom, % 199.01/199.71 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.01/199.71 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),V_g_2)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding_Ocommute__comp,axiom, % 199.01/199.71 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.01/199.71 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding_Ocommute__comps_I1_J,axiom, % 199.01/199.71 ! [V_h_2,V_g_2,T_g,V_f_2,T_d,T_e,T_f,V_F_2,V_fa_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2) % 199.01/199.71 => hAPP(c_Fun_Ocomp(T_f,T_e,T_d,V_f_2),hAPP(c_Fun_Ocomp(T_g,T_f,T_d,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_g,T_e,T_d,hAPP(c_Fun_Ocomp(T_f,T_e,T_g,V_f_2),V_g_2)),V_h_2) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__image__simple_Oempty,axiom, % 199.01/199.71 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.01/199.71 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__idem_Oidem__left__comp,axiom, % 199.01/199.71 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 199.01/199.71 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__idem_Oidem__comp,axiom, % 199.01/199.71 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 199.01/199.71 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__image_Odistrib,axiom, % 199.01/199.71 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.01/199.71 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(V_f_2,hAPP(hAPP(V_F_2,V_g_2),V_A_2)),hAPP(hAPP(V_F_2,V_h_2),V_A_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding_Ocommute__left__comp_H_H,axiom, % 199.01/199.71 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.01/199.71 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding_Ocommute__comp_H_H,axiom, % 199.01/199.71 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.01/199.71 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding_Ocommute__left__comp_H,axiom, % 199.01/199.71 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding_Ocommute__comp_H,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__image__simple_Oinsert,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.01/199.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 199.01/199.71 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding_Oinsert,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.71 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_finite__M__bounded__by__nat,axiom, % 199.01/199.71 ! [V_i_2,V_Pa_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_Pa_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))))) ). % 199.01/199.71 % 199.01/199.71 fof(fact_finite__empty__induct,axiom, % 199.01/199.71 ! [V_Pa_2,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(V_Pa_2,V_A_2)) % 199.01/199.71 => ( ! [B_a,B_A] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) % 199.01/199.71 => ( hBOOL(hAPP(V_Pa_2,B_A)) % 199.01/199.71 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) % 199.01/199.71 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_finite__subset__induct,axiom, % 199.01/199.71 ! [V_Pa_2,V_A_2,V_F_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 199.01/199.71 => ( ! [B_a,B_F] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 199.01/199.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F)) % 199.01/199.71 => ( hBOOL(hAPP(V_Pa_2,B_F)) % 199.01/199.71 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) ) % 199.01/199.71 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__one__idem_Osubset__idem,axiom, % 199.01/199.71 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.01/199.71 => 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) ) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__one__idem_Oinsert__idem,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.71 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_finite__conv__nat__seg__image,axiom, % 199.01/199.71 ! [V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,B_f),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),B_n))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_insert__fold1SetE,axiom, % 199.01/199.71 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2)),V_x_2)) % 199.01/199.71 => ~ ! [B_a,B_A] : % 199.01/199.71 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_fold1Set_Oequations,axiom, % 199.01/199.71 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2)),V_a3_2)) % 199.01/199.71 <=> ? [B_a,B_A] : % 199.01/199.71 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 199.01/199.71 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2)) % 199.01/199.71 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__Diff2__less,axiom, % 199.01/199.71 ! [V_y_2,V_x_2,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__Diff1__less,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_finite__nat__set__iff__bounded__le,axiom, % 199.01/199.71 ! [V_N_2] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 199.01/199.71 <=> ? [B_m] : % 199.01/199.71 ! [B_x] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__one__idem_Oidem,axiom, % 199.01/199.71 ! [V_x_2,V_F_2,V_f_2,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 199.01/199.71 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__insert__le,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__seteq,axiom, % 199.01/199.71 ! [V_A_2,V_B_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) % 199.01/199.71 => V_A_2 = V_B_2 ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__mono,axiom, % 199.01/199.71 ! [V_A_2,V_B_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__image__le,axiom, % 199.01/199.71 ! [V_f_2,T_c,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_diff__card__le__card__Diff,axiom, % 199.01/199.71 ! [V_A_2,V_B_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__image,axiom, % 199.01/199.71 ! [V_A_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.71 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_inj__on__iff__card__le,axiom, % 199.01/199.71 ! [V_B_2,T_c,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.01/199.71 => ( ? [B_f] : % 199.01/199.71 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 199.01/199.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_B_2)) ) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__Diff__subset,axiom, % 199.01/199.71 ! [V_A_2,V_B_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.01/199.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_inj__on__iff__eq__card,axiom, % 199.01/199.71 ! [V_f_2,T_c,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.71 <=> hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_eq__card__imp__inj__on,axiom, % 199.01/199.71 ! [V_f_2,T_c,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) % 199.01/199.71 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_pigeonhole,axiom, % 199.01/199.71 ! [V_A_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))) % 199.01/199.71 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__quotient__disjoint,axiom, % 199.01/199.71 ! [V_r_2,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2) % 199.01/199.71 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_psubset__card__mono,axiom, % 199.01/199.71 ! [V_A_2,V_B_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_finite__nat__set__iff__bounded,axiom, % 199.01/199.71 ! [V_N_2] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 199.01/199.71 <=> ? [B_m] : % 199.01/199.71 ! [B_x] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__Diff1__le,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__bij__eq,axiom, % 199.01/199.71 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) % 199.01/199.71 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.01/199.71 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__inj__on__le,axiom, % 199.01/199.71 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__psubset,axiom, % 199.01/199.71 ! [V_A_2,V_B_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__one__idem_Oin__idem,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.71 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_ord_OgreaterThanAtMost__iff,axiom, % 199.01/199.71 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2))) % 199.01/199.71 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 199.01/199.71 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_ord_OatLeastLessThan__iff,axiom, % 199.01/199.71 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2))) % 199.01/199.71 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 199.01/199.71 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_ord_OgreaterThanLessThan__iff,axiom, % 199.01/199.71 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_b,V_less_2,V_l_2,V_u_2))) % 199.01/199.71 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 199.01/199.71 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_ord_OatLeastAtMost__iff,axiom, % 199.01/199.71 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_b,V_less__eq_2,V_l_2,V_u_2))) % 199.01/199.71 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 199.01/199.71 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_ord_OgreaterThan__iff,axiom, % 199.01/199.71 ! [V_k_2,V_less_2,V_i_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2))) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_ord_OlessThan__iff,axiom, % 199.01/199.71 ! [V_k_2,V_less_2,V_i_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2))) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_ord_OatLeast__iff,axiom, % 199.01/199.71 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2))) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_ord_OatMost__iff,axiom, % 199.01/199.71 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2))) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__or__eq__imp__le,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 | V_m = V_n ) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__diff__iff,axiom, % 199.01/199.71 ! [V_n_2,V_m_2,V_k_2] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 199.01/199.71 => ( 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))) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_diff__commute,axiom, % 199.01/199.71 ! [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) ). % 199.01/199.71 % 199.01/199.71 fof(fact_diff__less__mono2,axiom, % 199.01/199.71 ! [V_l,V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l)) % 199.01/199.71 => 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))) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__imp__diff__less,axiom, % 199.01/199.71 ! [V_n,V_k,V_j] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 199.01/199.71 => 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)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__not__refl,axiom, % 199.01/199.71 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat__neq__iff,axiom, % 199.01/199.71 ! [V_n_2,V_m_2] : % 199.01/199.71 ( V_m_2 != V_n_2 % 199.01/199.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 199.01/199.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_linorder__neqE__nat,axiom, % 199.01/199.71 ! [V_y,V_x] : % 199.01/199.71 ( V_x != V_y % 199.01/199.71 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__irrefl__nat,axiom, % 199.01/199.71 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__not__refl2,axiom, % 199.01/199.71 ! [V_m,V_n] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 199.01/199.71 => V_m != V_n ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__not__refl3,axiom, % 199.01/199.71 ! [V_t,V_s] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t)) % 199.01/199.71 => V_s != V_t ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat__less__cases,axiom, % 199.01/199.71 ! [V_Pa_2,V_n_2,V_m_2] : % 199.01/199.71 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 199.01/199.71 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) % 199.01/199.71 => ( ( V_m_2 = V_n_2 % 199.01/199.71 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) % 199.01/199.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 199.01/199.71 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) % 199.01/199.71 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_diff__le__self,axiom, % 199.01/199.71 ! [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)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_diff__le__mono2,axiom, % 199.01/199.71 ! [V_l,V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 => 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))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_diff__le__mono,axiom, % 199.01/199.71 ! [V_l,V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 => 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))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_diff__diff__cancel,axiom, % 199.01/199.71 ! [V_n,V_i] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n)) % 199.01/199.71 => 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 ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_eq__diff__iff,axiom, % 199.01/199.71 ! [V_n_2,V_m_2,V_k_2] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 199.01/199.71 => ( 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) % 199.01/199.71 <=> V_m_2 = V_n_2 ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Nat_Odiff__diff__eq,axiom, % 199.01/199.71 ! [V_n,V_m,V_k] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 199.01/199.71 => 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) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_le__diff__iff,axiom, % 199.01/199.71 ! [V_n_2,V_m_2,V_k_2] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 199.01/199.71 => ( 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))) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_le__antisym,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.01/199.71 => V_m = V_n ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_le__trans,axiom, % 199.01/199.71 ! [V_k,V_j,V_i] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_eq__imp__le,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( V_m = V_n % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat__le__linear,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_le__refl,axiom, % 199.01/199.71 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat__less__le,axiom, % 199.01/199.71 ! [V_n_2,V_m_2] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 199.01/199.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 199.01/199.71 & V_m_2 != V_n_2 ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_le__eq__less__or__eq,axiom, % 199.01/199.71 ! [V_n_2,V_m_2] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 199.01/199.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 199.01/199.71 | V_m_2 = V_n_2 ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__imp__le__nat,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_le__neq__implies__less,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 => ( V_m != V_n % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_diff__less__mono,axiom, % 199.01/199.71 ! [V_c,V_b,V_a] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a)) % 199.01/199.71 => 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))) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__Diff__singleton__if,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) % 199.01/199.71 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__Diff__singleton,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__Diff__insert,axiom, % 199.01/199.71 ! [V_B_2,V_a_2,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 199.01/199.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__Suc__Diff1,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.71 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__one__idem_Ohom__commute,axiom, % 199.01/199.71 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 199.01/199.71 => ( ! [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)) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.01/199.71 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.71 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_pigeonhole__infinite,axiom, % 199.01/199.71 ! [V_f_2,T_c,V_A_2,T_b] : % 199.01/199.71 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 199.01/199.71 => ? [B_x] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.01/199.71 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_fold__graph__permute__diff,axiom, % 199.01/199.71 ! [V_a_2,V_x_2,V_A_2,V_ba_2,T_b] : % 199.01/199.71 ( class_Groups_Oab__semigroup__mult(T_b) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_ba_2,V_A_2),V_x_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_A_2)) % 199.01/199.71 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__insert,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__image__simple__idem_Osubset__idem,axiom, % 199.01/199.71 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.01/199.71 => 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) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.01/199.71 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__mono,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_lessI,axiom, % 199.01/199.71 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__mult__le__cancel1,axiom, % 199.01/199.71 ! [V_n_2,V_m_2,V_k_2] : % 199.01/199.71 ( 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))) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_inj__Suc,axiom, % 199.01/199.71 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ). % 199.01/199.71 % 199.01/199.71 fof(fact_n__not__Suc__n,axiom, % 199.01/199.71 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__n__not__n,axiom, % 199.01/199.71 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat__mult__1,axiom, % 199.01/199.71 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat__1__eq__mult__iff,axiom, % 199.01/199.71 ! [V_n_2,V_m_2] : % 199.01/199.71 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) % 199.01/199.71 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 199.01/199.71 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat__mult__1__right,axiom, % 199.01/199.71 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat_Oinject,axiom, % 199.01/199.71 ! [V_nat_H_2,V_nat_2] : % 199.01/199.71 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2) % 199.01/199.71 <=> V_nat_2 = V_nat_H_2 ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat__mult__eq__1__iff,axiom, % 199.01/199.71 ! [V_n_2,V_m_2] : % 199.01/199.71 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 199.01/199.71 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 199.01/199.71 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__mult__cancel1,axiom, % 199.01/199.71 ! [V_n_2,V_m_2,V_k_2] : % 199.01/199.71 ( 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) % 199.01/199.71 <=> V_m_2 = V_n_2 ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__inject,axiom, % 199.01/199.71 ! [V_y,V_x] : % 199.01/199.71 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y) % 199.01/199.71 => V_x = V_y ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__mult__less__cancel1,axiom, % 199.01/199.71 ! [V_n_2,V_m_2,V_k_2] : % 199.01/199.71 ( 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))) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_mult__1__left,axiom, % 199.01/199.71 ! [V_a,T_a] : % 199.01/199.71 ( class_Groups_Omonoid__mult(T_a) % 199.01/199.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_mult__1,axiom, % 199.01/199.71 ! [V_a,T_a] : % 199.01/199.71 ( class_Groups_Ocomm__monoid__mult(T_a) % 199.01/199.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_one__reorient,axiom, % 199.01/199.71 ! [V_x_2,T_b] : % 199.01/199.71 ( class_Groups_Oone(T_b) % 199.01/199.71 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2 % 199.01/199.71 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_mult__1__right,axiom, % 199.01/199.71 ! [V_a,T_a] : % 199.01/199.71 ( class_Groups_Omonoid__mult(T_a) % 199.01/199.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_mult_Ocomm__neutral,axiom, % 199.01/199.71 ! [V_a,T_a] : % 199.01/199.71 ( class_Groups_Ocomm__monoid__mult(T_a) % 199.01/199.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_times_Oidem,axiom, % 199.01/199.71 ! [V_a,T_a] : % 199.01/199.71 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 199.01/199.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_mult__idem,axiom, % 199.01/199.71 ! [V_x,T_a] : % 199.01/199.71 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 199.01/199.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_mult__left__idem,axiom, % 199.01/199.71 ! [V_b,V_a,T_a] : % 199.01/199.71 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 199.01/199.71 => 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) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 199.01/199.71 ! [V_c,V_b,V_a,T_a] : % 199.01/199.71 ( class_Groups_Oab__semigroup__mult(T_a) % 199.01/199.71 => 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)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_diff__Suc__1,axiom, % 199.01/199.71 ! [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 ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__image__simple__idem_Oidem,axiom, % 199.01/199.71 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.01/199.71 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__less__SucD,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__lessD,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__SucE,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 199.01/199.71 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 => V_m = V_n ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__trans__Suc,axiom, % 199.01/199.71 ! [V_k,V_j,V_i] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__lessI,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 => ( hAPP(c_Nat_OSuc,V_m) != V_n % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__SucI,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__antisym,axiom, % 199.01/199.71 ! [V_m,V_n] : % 199.01/199.71 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m))) % 199.01/199.71 => V_m = V_n ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_not__less__less__Suc__eq,axiom, % 199.01/199.71 ! [V_m_2,V_n_2] : % 199.01/199.71 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 199.01/199.71 <=> V_n_2 = V_m_2 ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__less__eq,axiom, % 199.01/199.71 ! [V_n_2,V_m_2] : % 199.01/199.71 ( 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))) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__Suc__eq,axiom, % 199.01/199.71 ! [V_n_2,V_m_2] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 199.01/199.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 199.01/199.71 | V_m_2 = V_n_2 ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_not__less__eq,axiom, % 199.01/199.71 ! [V_n_2,V_m_2] : % 199.01/199.71 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__n__not__le__n,axiom, % 199.01/199.71 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_not__less__eq__eq,axiom, % 199.01/199.71 ! [V_n_2,V_m_2] : % 199.01/199.71 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_le__Suc__eq,axiom, % 199.01/199.71 ! [V_n_2,V_m_2] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 199.01/199.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 199.01/199.71 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__le__mono,axiom, % 199.01/199.71 ! [V_m_2,V_n_2] : % 199.01/199.71 ( 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))) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_le__SucI,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_le__SucE,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 199.01/199.71 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__leD,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_diff__Suc__Suc,axiom, % 199.01/199.71 ! [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) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__diff__diff,axiom, % 199.01/199.71 ! [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) ). % 199.01/199.71 % 199.01/199.71 fof(fact_le__square,axiom, % 199.01/199.71 ! [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))) ). % 199.01/199.71 % 199.01/199.71 fof(fact_le__cube,axiom, % 199.01/199.71 ! [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)))) ). % 199.01/199.71 % 199.01/199.71 fof(fact_mult__le__mono1,axiom, % 199.01/199.71 ! [V_k,V_j,V_i] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.01/199.71 => 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))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_mult__le__mono2,axiom, % 199.01/199.71 ! [V_k,V_j,V_i] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.01/199.71 => 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))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_mult__le__mono,axiom, % 199.01/199.71 ! [V_l,V_k,V_j,V_i] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 199.01/199.71 => 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))) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_diff__mult__distrib2,axiom, % 199.01/199.71 ! [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)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_diff__mult__distrib,axiom, % 199.01/199.71 ! [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)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_fun__left__comm__idem,axiom, % 199.01/199.71 ! [T_b] : % 199.01/199.71 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 199.01/199.71 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__le__lessD,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_le__less__Suc__eq,axiom, % 199.01/199.71 ! [V_n_2,V_m_2] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 199.01/199.71 <=> V_n_2 = V_m_2 ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__leI,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_le__imp__less__Suc,axiom, % 199.01/199.71 ! [V_n,V_m] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__le__eq,axiom, % 199.01/199.71 ! [V_n_2,V_m_2] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__Suc__eq__le,axiom, % 199.01/199.71 ! [V_n_2,V_m_2] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__eq__Suc__le,axiom, % 199.01/199.71 ! [V_m_2,V_n_2] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_diff__less__Suc,axiom, % 199.01/199.71 ! [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))) ). % 199.01/199.71 % 199.01/199.71 fof(fact_Suc__diff__le,axiom, % 199.01/199.71 ! [V_m,V_n] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.01/199.71 => 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)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__eq__Suc__le__raw,axiom, % 199.01/199.71 ! [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)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_fold__graph__insert__swap,axiom, % 199.01/199.71 ! [V_z_2,V_y_2,V_A_2,V_ba_2,T_b] : % 199.01/199.71 ( class_Groups_Oab__semigroup__mult(T_b) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_ba_2,V_A_2),V_y_2)) % 199.01/199.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_A_2)) % 199.01/199.71 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2),V_y_2))) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__insert__disjoint,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card__insert__if,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) % 199.01/199.71 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_folding__image__simple__idem_Oin__idem,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.71 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 199.01/199.71 => 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) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_diff__Suc__eq__diff__pred,axiom, % 199.01/199.71 ! [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) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__1__mult,axiom, % 199.01/199.71 ! [V_n,V_m,T_a] : % 199.01/199.71 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)) % 199.01/199.71 => 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))) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card_Oremove,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.71 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 199.01/199.71 ! [V_a,T_a] : % 199.01/199.71 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 199.01/199.71 ! [V_a,T_a] : % 199.01/199.71 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_card_Oinsert__remove,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,T_b] : % 199.01/199.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_fold1__insert,axiom, % 199.01/199.71 ! [V_x_2,V_A_2,T_b] : % 199.01/199.71 ( class_Groups_Oab__semigroup__mult(T_b) % 199.01/199.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.71 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_fold__image__reindex,axiom, % 199.01/199.71 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] : % 199.01/199.71 ( class_Groups_Oab__semigroup__mult(T_d) % 199.01/199.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.71 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2) % 199.01/199.71 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__eq__nat_Osimps_I2_J,axiom, % 199.01/199.71 ! [V_n_2,V_m_2] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 199.01/199.71 <=> 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)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat__mult__commute,axiom, % 199.01/199.71 ! [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) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__mult__distrib2,axiom, % 199.01/199.71 ! [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)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat__mult__assoc,axiom, % 199.01/199.71 ! [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)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__mult__distrib,axiom, % 199.01/199.71 ! [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)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 199.01/199.71 ! [V_c,V_a,T_a] : % 199.01/199.71 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.71 => 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) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 199.01/199.71 ! [V_d,V_c,V_a,T_a] : % 199.01/199.71 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.71 => 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)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 199.01/199.71 ! [V_d,V_c,V_a,T_a] : % 199.01/199.71 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.71 => 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) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 199.01/199.71 ! [V_c,V_b,V_a,T_a] : % 199.01/199.71 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.71 => 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)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 199.01/199.71 ! [V_c,V_b,V_a,T_a] : % 199.01/199.71 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.71 => 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) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 199.01/199.71 ! [V_d,V_c,V_b,V_a,T_a] : % 199.01/199.71 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.71 => 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)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__right__imp__eq,axiom, % 199.01/199.71 ! [V_c,V_a,V_b,T_a] : % 199.01/199.71 ( class_Groups_Ocancel__semigroup__add(T_a) % 199.01/199.71 => ( 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) % 199.01/199.71 => V_b = V_c ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__imp__eq,axiom, % 199.01/199.71 ! [V_c,V_b,V_a,T_a] : % 199.01/199.71 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 199.01/199.71 => ( 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) % 199.01/199.71 => V_b = V_c ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__left__imp__eq,axiom, % 199.01/199.71 ! [V_c,V_b,V_a,T_a] : % 199.01/199.71 ( class_Groups_Ocancel__semigroup__add(T_a) % 199.01/199.71 => ( 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) % 199.01/199.71 => V_b = V_c ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__right__cancel,axiom, % 199.01/199.71 ! [V_ca_2,V_a_2,V_ba_2,T_b] : % 199.01/199.71 ( class_Groups_Ocancel__semigroup__add(T_b) % 199.01/199.71 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ba_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_a_2) % 199.01/199.71 <=> V_ba_2 = V_ca_2 ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__left__cancel,axiom, % 199.01/199.71 ! [V_ca_2,V_ba_2,V_a_2,T_b] : % 199.01/199.71 ( class_Groups_Ocancel__semigroup__add(T_b) % 199.01/199.71 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ba_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ca_2) % 199.01/199.71 <=> V_ba_2 = V_ca_2 ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 199.01/199.71 ! [V_c,V_b,V_a,T_a] : % 199.01/199.71 ( class_Groups_Oab__semigroup__add(T_a) % 199.01/199.71 => 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)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat__add__right__cancel,axiom, % 199.01/199.71 ! [V_n_2,V_k_2,V_m_2] : % 199.01/199.71 ( 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) % 199.01/199.71 <=> V_m_2 = V_n_2 ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat__add__left__cancel,axiom, % 199.01/199.71 ! [V_n_2,V_m_2,V_k_2] : % 199.01/199.71 ( 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) % 199.01/199.71 <=> V_m_2 = V_n_2 ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat__add__assoc,axiom, % 199.01/199.71 ! [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)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat__add__left__commute,axiom, % 199.01/199.71 ! [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)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat__add__commute,axiom, % 199.01/199.71 ! [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) ). % 199.01/199.71 % 199.01/199.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 199.01/199.71 ! [V_z,V_y,V_x,T_a] : % 199.01/199.71 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.71 => 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)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_crossproduct__noteq,axiom, % 199.01/199.71 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 199.01/199.71 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 199.01/199.71 => ( ( V_a_2 != V_ba_2 % 199.01/199.71 & V_ca_2 != V_d_2 ) % 199.01/199.71 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_ca_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_comm__semiring__class_Odistrib,axiom, % 199.01/199.71 ! [V_c,V_b,V_a,T_a] : % 199.01/199.71 ( class_Rings_Ocomm__semiring(T_a) % 199.01/199.71 => 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)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 199.01/199.71 ! [V_c,V_b,V_a,T_a] : % 199.01/199.71 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.71 => 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)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 199.01/199.71 ! [V_b,V_m,V_a,T_a] : % 199.01/199.71 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.71 => 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) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_combine__common__factor,axiom, % 199.01/199.71 ! [V_c,V_b,V_e,V_a,T_a] : % 199.01/199.71 ( class_Rings_Osemiring(T_a) % 199.01/199.71 => 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) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_crossproduct__eq,axiom, % 199.01/199.71 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] : % 199.01/199.71 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 199.01/199.71 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_y_2)) % 199.01/199.71 <=> ( V_w_2 = V_x_2 % 199.01/199.71 | V_y_2 = V_z_2 ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_inj__on__add__nat,axiom, % 199.01/199.71 ! [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) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__le__cancel__right,axiom, % 199.01/199.71 ! [V_ba_2,V_ca_2,V_a_2,T_b] : % 199.01/199.71 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ba_2),V_ca_2))) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__le__cancel__left,axiom, % 199.01/199.71 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 199.01/199.71 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_ba_2))) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__right__mono,axiom, % 199.01/199.71 ! [V_c,V_b,V_a,T_a] : % 199.01/199.71 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.01/199.71 => 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))) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__left__mono,axiom, % 199.01/199.71 ! [V_c,V_b,V_a,T_a] : % 199.01/199.71 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.01/199.71 => 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))) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__mono,axiom, % 199.01/199.71 ! [V_d,V_c,V_b,V_a,T_a] : % 199.01/199.71 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 199.01/199.71 => 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))) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__le__imp__le__right,axiom, % 199.01/199.71 ! [V_b,V_c,V_a,T_a] : % 199.01/199.71 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 199.01/199.71 => ( 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))) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__le__imp__le__left,axiom, % 199.01/199.71 ! [V_b,V_a,V_c,T_a] : % 199.01/199.71 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 199.01/199.71 => ( 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))) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__less__cancel__right,axiom, % 199.01/199.71 ! [V_ba_2,V_ca_2,V_a_2,T_b] : % 199.01/199.71 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ba_2),V_ca_2))) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__less__cancel__left,axiom, % 199.01/199.71 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 199.01/199.71 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_ba_2))) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__strict__right__mono,axiom, % 199.01/199.71 ! [V_c,V_b,V_a,T_a] : % 199.01/199.71 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.01/199.71 => 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))) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__strict__left__mono,axiom, % 199.01/199.71 ! [V_c,V_b,V_a,T_a] : % 199.01/199.71 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.01/199.71 => 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))) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__strict__mono,axiom, % 199.01/199.71 ! [V_d,V_c,V_b,V_a,T_a] : % 199.01/199.71 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 199.01/199.71 => 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))) ) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__less__imp__less__right,axiom, % 199.01/199.71 ! [V_b,V_c,V_a,T_a] : % 199.01/199.71 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 199.01/199.71 => ( 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))) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__less__imp__less__left,axiom, % 199.01/199.71 ! [V_b,V_a,V_c,T_a] : % 199.01/199.71 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 199.01/199.71 => ( 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))) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_diff__add__cancel,axiom, % 199.01/199.71 ! [V_b,V_a,T_a] : % 199.01/199.71 ( class_Groups_Ogroup__add(T_a) % 199.01/199.71 => 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 ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__diff__cancel,axiom, % 199.01/199.71 ! [V_b,V_a,T_a] : % 199.01/199.71 ( class_Groups_Ogroup__add(T_a) % 199.01/199.71 => 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 ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_mult__Suc,axiom, % 199.01/199.71 ! [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)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__Suc__shift,axiom, % 199.01/199.71 ! [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)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__Suc,axiom, % 199.01/199.71 ! [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)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_mult__Suc__right,axiom, % 199.01/199.71 ! [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)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__Suc__right,axiom, % 199.01/199.71 ! [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)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_not__add__less1,axiom, % 199.01/199.71 ! [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)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_not__add__less2,axiom, % 199.01/199.71 ! [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)) ). % 199.01/199.71 % 199.01/199.71 fof(fact_nat__add__left__cancel__less,axiom, % 199.01/199.71 ! [V_n_2,V_m_2,V_k_2] : % 199.01/199.71 ( 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))) % 199.01/199.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_trans__less__add1,axiom, % 199.01/199.71 ! [V_m,V_j,V_i] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.01/199.71 => 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))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_trans__less__add2,axiom, % 199.01/199.71 ! [V_m,V_j,V_i] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.01/199.71 => 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))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__less__mono1,axiom, % 199.01/199.71 ! [V_k,V_j,V_i] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.01/199.71 => 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))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__less__mono,axiom, % 199.01/199.71 ! [V_l,V_k,V_j,V_i] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.01/199.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 199.01/199.71 => 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))) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_less__add__eq__less,axiom, % 199.01/199.71 ! [V_n,V_m,V_l,V_k] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 199.01/199.71 => ( 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) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__lessD1,axiom, % 199.01/199.71 ! [V_k,V_j,V_i] : % 199.01/199.71 ( 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)) % 199.01/199.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_termination__basic__simps_I2_J,axiom, % 199.01/199.71 ! [V_y,V_z,V_x] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z)) % 199.01/199.71 => 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))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_termination__basic__simps_I1_J,axiom, % 199.01/199.71 ! [V_z,V_y,V_x] : % 199.01/199.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 199.01/199.71 => 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))) ) ). % 199.01/199.71 % 199.01/199.71 fof(fact_add__leE,axiom, % 199.01/199.71 ! [V_n,V_k,V_m] : % 199.01/199.71 ( 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)) % 199.01/199.71 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.01/199.71 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 199.01/199.71 % 199.01/199.72 fof(fact_add__leD1,axiom, % 199.01/199.72 ! [V_n,V_k,V_m] : % 199.01/199.72 ( 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)) % 199.01/199.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__leD2,axiom, % 199.01/199.72 ! [V_n,V_k,V_m] : % 199.01/199.72 ( 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)) % 199.01/199.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__le__mono,axiom, % 199.01/199.72 ! [V_l,V_k,V_j,V_i] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 199.01/199.72 => 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_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__le__mono1,axiom, % 199.01/199.72 ! [V_k,V_j,V_i] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.01/199.72 => 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_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_trans__le__add2,axiom, % 199.01/199.72 ! [V_m,V_j,V_i] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.01/199.72 => 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))) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_trans__le__add1,axiom, % 199.01/199.72 ! [V_m,V_j,V_i] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.01/199.72 => 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))) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat__add__left__cancel__le,axiom, % 199.01/199.72 ! [V_n_2,V_m_2,V_k_2] : % 199.01/199.72 ( 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))) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_le__iff__add,axiom, % 199.01/199.72 ! [V_n_2,V_m_2] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 199.01/199.72 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_le__add1,axiom, % 199.01/199.72 ! [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))) ). % 199.01/199.72 % 199.01/199.72 fof(fact_le__add2,axiom, % 199.01/199.72 ! [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))) ). % 199.01/199.72 % 199.01/199.72 fof(fact_termination__basic__simps_I3_J,axiom, % 199.01/199.72 ! [V_z,V_y,V_x] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) % 199.01/199.72 => 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))) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_termination__basic__simps_I4_J,axiom, % 199.01/199.72 ! [V_y,V_z,V_x] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z)) % 199.01/199.72 => 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))) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__cancel2,axiom, % 199.01/199.72 ! [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) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__cancel,axiom, % 199.01/199.72 ! [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) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__diff__left,axiom, % 199.01/199.72 ! [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)) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__add__inverse,axiom, % 199.01/199.72 ! [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 ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__add__inverse2,axiom, % 199.01/199.72 ! [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 ). % 199.01/199.72 % 199.01/199.72 fof(fact_fold__image__empty,axiom, % 199.01/199.72 ! [V_z_2,V_g_2,V_f_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ). % 199.01/199.72 % 199.01/199.72 fof(fact_less__add__one,axiom, % 199.01/199.72 ! [V_a,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.72 => 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)))) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_eq__add__iff2,axiom, % 199.01/199.72 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] : % 199.01/199.72 ( class_Rings_Oring(T_b) % 199.01/199.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_e_2)),V_d_2) % 199.01/199.72 <=> V_ca_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ba_2),V_a_2)),V_e_2)),V_d_2) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_eq__add__iff1,axiom, % 199.01/199.72 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] : % 199.01/199.72 ( class_Rings_Oring(T_b) % 199.01/199.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_e_2)),V_d_2) % 199.01/199.72 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2)),V_e_2)),V_ca_2) = V_d_2 ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 199.01/199.72 ! [V_m,T_a] : % 199.01/199.72 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.72 => 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) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 199.01/199.72 ! [V_a,V_m,T_a] : % 199.01/199.72 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.72 => 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) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 199.01/199.72 ! [V_m,V_a,T_a] : % 199.01/199.72 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.72 => 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) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_Suc__eq__plus1__left,axiom, % 199.01/199.72 ! [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) ). % 199.01/199.72 % 199.01/199.72 fof(fact_Suc__eq__plus1,axiom, % 199.01/199.72 ! [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)) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__less__le__mono,axiom, % 199.01/199.72 ! [V_d,V_c,V_b,V_a,T_a] : % 199.01/199.72 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__le__less__mono,axiom, % 199.01/199.72 ! [V_d,V_c,V_b,V_a,T_a] : % 199.01/199.72 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_le__add__iff1,axiom, % 199.01/199.72 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] : % 199.01/199.72 ( class_Rings_Oordered__ring(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_e_2)),V_d_2))) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_le__add__iff2,axiom, % 199.01/199.72 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] : % 199.01/199.72 ( class_Rings_Oordered__ring(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_e_2)),V_d_2))) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ba_2),V_a_2)),V_e_2)),V_d_2))) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_less__add__iff1,axiom, % 199.01/199.72 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] : % 199.01/199.72 ( class_Rings_Oordered__ring(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_e_2)),V_d_2))) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_less__add__iff2,axiom, % 199.01/199.72 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] : % 199.01/199.72 ( class_Rings_Oordered__ring(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_e_2)),V_d_2))) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ba_2),V_a_2)),V_e_2)),V_d_2))) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_less__add__Suc1,axiom, % 199.01/199.72 ! [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)))) ). % 199.01/199.72 % 199.01/199.72 fof(fact_less__add__Suc2,axiom, % 199.01/199.72 ! [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)))) ). % 199.01/199.72 % 199.01/199.72 fof(fact_less__iff__Suc__add,axiom, % 199.01/199.72 ! [V_n_2,V_m_2] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 199.01/199.72 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__diff__inverse,axiom, % 199.01/199.72 ! [V_n,V_m] : % 199.01/199.72 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.01/199.72 => 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 ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_less__diff__conv,axiom, % 199.01/199.72 ! [V_k_2,V_j_2,V_i_2] : % 199.01/199.72 ( 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))) % 199.01/199.72 <=> 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)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__diff__right,axiom, % 199.01/199.72 ! [V_i,V_j,V_k] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 199.01/199.72 => 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) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_le__diff__conv,axiom, % 199.01/199.72 ! [V_i_2,V_k_2,V_j_2] : % 199.01/199.72 ( 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)) % 199.01/199.72 <=> 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))) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_le__add__diff,axiom, % 199.01/199.72 ! [V_m,V_n,V_k] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 199.01/199.72 => 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))) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_le__add__diff__inverse,axiom, % 199.01/199.72 ! [V_m,V_n] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.01/199.72 => 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 ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__diff__assoc,axiom, % 199.01/199.72 ! [V_i,V_j,V_k] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 199.01/199.72 => 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) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_le__diff__conv2,axiom, % 199.01/199.72 ! [V_i_2,V_j_2,V_k_2] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2)) % 199.01/199.72 => ( 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))) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_le__add__diff__inverse2,axiom, % 199.01/199.72 ! [V_m,V_n] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.01/199.72 => 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 ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_le__imp__diff__is__add,axiom, % 199.01/199.72 ! [V_k_2,V_j_2,V_i_2] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 199.01/199.72 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2 % 199.01/199.72 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__add__assoc,axiom, % 199.01/199.72 ! [V_i,V_j,V_k] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 199.01/199.72 => 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)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__diff__assoc2,axiom, % 199.01/199.72 ! [V_i,V_j,V_k] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 199.01/199.72 => 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) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__add__assoc2,axiom, % 199.01/199.72 ! [V_i,V_j,V_k] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 199.01/199.72 => 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) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_fold1__singleton__def,axiom, % 199.01/199.72 ! [V_a_2,V_f_2,T_b,V_g_2] : % 199.01/199.72 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2) % 199.01/199.72 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_fold1__singleton,axiom, % 199.01/199.72 ! [V_a_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat__case__Suc,axiom, % 199.01/199.72 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ). % 199.01/199.72 % 199.01/199.72 fof(fact_folding__image__simple_Oeq__fold__g,axiom, % 199.01/199.72 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.72 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.01/199.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.01/199.72 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_folding__image_Oeq__fold,axiom, % 199.01/199.72 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.72 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 199.01/199.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.01/199.72 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_folding__one_Oeq__fold,axiom, % 199.01/199.72 ! [V_A_2,V_F_2,V_f_2,T_b] : % 199.01/199.72 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.01/199.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.72 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__Suc__diff__eq2,axiom, % 199.01/199.72 ! [V_m,V_j,V_k] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 199.01/199.72 => 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)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__Suc__diff__eq1,axiom, % 199.01/199.72 ! [V_m,V_j,V_k] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 199.01/199.72 => 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)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_linorder__neqE__linordered__idom,axiom, % 199.01/199.72 ! [V_y,V_x,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.72 => ( V_x != V_y % 199.01/199.72 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.01/199.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.72 => 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) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 199.01/199.72 ! [V_ry,V_rx,V_lx,T_a] : % 199.01/199.72 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.72 => 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)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 199.01/199.72 ! [V_ry,V_rx,V_lx,T_a] : % 199.01/199.72 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.72 => 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) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 199.01/199.72 ! [V_rx,V_ly,V_lx,T_a] : % 199.01/199.72 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.72 => 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)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 199.01/199.72 ! [V_rx,V_ly,V_lx,T_a] : % 199.01/199.72 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.72 => 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) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 199.01/199.72 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 199.01/199.72 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.72 => 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))) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 199.01/199.72 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 199.01/199.72 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.72 => 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)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 199.01/199.72 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 199.01/199.72 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.72 => 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)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_fold1__def,axiom, % 199.01/199.72 ! [V_A_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2)) ). % 199.01/199.72 % 199.01/199.72 fof(fact_fold__image__distrib,axiom, % 199.01/199.72 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 199.01/199.72 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.01/199.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.72 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_fold__image__insert,axiom, % 199.01/199.72 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] : % 199.01/199.72 ( class_Groups_Oab__semigroup__mult(T_c) % 199.01/199.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.72 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2)) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_fold1__insert__idem,axiom, % 199.01/199.72 ! [V_x_2,V_A_2,T_b] : % 199.01/199.72 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 199.01/199.72 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.72 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_card_Oinsert,axiom, % 199.01/199.72 ! [V_x_2,V_A_2,T_b] : % 199.01/199.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.72 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat__less__add__iff1,axiom, % 199.01/199.72 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 199.01/199.72 => ( 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))) % 199.01/199.72 <=> 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)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat__less__add__iff2,axiom, % 199.01/199.72 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 199.01/199.72 => ( 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))) % 199.01/199.72 <=> 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))) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat__le__add__iff1,axiom, % 199.01/199.72 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 199.01/199.72 => ( 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))) % 199.01/199.72 <=> 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)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat__diff__add__eq1,axiom, % 199.01/199.72 ! [V_n,V_m,V_u,V_i,V_j] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 199.01/199.72 => 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) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat__eq__add__iff1,axiom, % 199.01/199.72 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 199.01/199.72 => ( 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) % 199.01/199.72 <=> 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 ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat__le__add__iff2,axiom, % 199.01/199.72 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 199.01/199.72 => ( 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))) % 199.01/199.72 <=> 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))) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat__diff__add__eq2,axiom, % 199.01/199.72 ! [V_n,V_m,V_u,V_j,V_i] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.01/199.72 => 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)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat__eq__add__iff2,axiom, % 199.01/199.72 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 199.01/199.72 => ( 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) % 199.01/199.72 <=> 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) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_fold1__in,axiom, % 199.01/199.72 ! [V_A_2,T_b] : % 199.01/199.72 ( class_Groups_Oab__semigroup__mult(T_b) % 199.01/199.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.72 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.72 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 199.01/199.72 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),V_A_2)) ) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_left__add__mult__distrib,axiom, % 199.01/199.72 ! [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) ). % 199.01/199.72 % 199.01/199.72 fof(fact_hom__fold1__commute,axiom, % 199.01/199.72 ! [V_N_2,V_h_2,T_b] : % 199.01/199.72 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 199.01/199.72 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 199.01/199.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.01/199.72 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.72 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_inj__on__diff__nat,axiom, % 199.01/199.72 ! [V_k_2,V_N_2] : % 199.01/199.72 ( ! [B_x] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 199.01/199.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) ) % 199.01/199.72 => 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) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_convex__bound__lt,axiom, % 199.01/199.72 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 199.01/199.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 199.01/199.72 => 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)) ) ) ) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_fold__image__1,axiom, % 199.01/199.72 ! [V_f_2,V_S_2,T_b,T_c] : % 199.01/199.72 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.01/199.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.01/199.72 => ( ! [B_x] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 199.01/199.72 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 199.01/199.72 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_card__Plus,axiom, % 199.01/199.72 ! [V_B_2,T_c,V_A_2,T_b] : % 199.01/199.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.01/199.72 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_fold__image__cong,axiom, % 199.01/199.72 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] : % 199.01/199.72 ( class_Groups_Oab__semigroup__mult(T_c) % 199.01/199.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.72 => ( ! [B_x] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.01/199.72 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 199.01/199.72 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),V_z_2),V_A_2) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_fold1__eq__fold,axiom, % 199.01/199.72 ! [V_a_2,V_A_2,T_b] : % 199.01/199.72 ( class_Groups_Oab__semigroup__mult(T_b) % 199.01/199.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.72 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_finite__less__ub,axiom, % 199.01/199.72 ! [V_u_2,V_f_2] : % 199.01/199.72 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n))) % 199.01/199.72 => 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)))) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_card_Oeq__fold__g,axiom, % 199.01/199.72 ! [V_A_2,T_b] : % 199.01/199.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.72 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_less__zeroE,axiom, % 199.01/199.72 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 199.01/199.72 % 199.01/199.72 fof(fact_le0,axiom, % 199.01/199.72 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 199.01/199.72 % 199.01/199.72 fof(fact_zero__less__Suc,axiom, % 199.01/199.72 ! [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))) ). % 199.01/199.72 % 199.01/199.72 fof(fact_zero__reorient,axiom, % 199.01/199.72 ! [V_x_2,T_b] : % 199.01/199.72 ( class_Groups_Ozero(T_b) % 199.01/199.72 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2 % 199.01/199.72 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_bot__nat__def,axiom, % 199.01/199.72 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.01/199.72 % 199.01/199.72 fof(fact_fold__empty,axiom, % 199.01/199.72 ! [V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 199.01/199.72 ! [V_a,T_a] : % 199.01/199.72 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 199.01/199.72 ! [V_a,T_a] : % 199.01/199.72 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__0__iff,axiom, % 199.01/199.72 ! [V_a_2,V_ba_2,T_b] : % 199.01/199.72 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 199.01/199.72 => ( V_ba_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ba_2),V_a_2) % 199.01/199.72 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add_Ocomm__neutral,axiom, % 199.01/199.72 ! [V_a,T_a] : % 199.01/199.72 ( class_Groups_Ocomm__monoid__add(T_a) % 199.01/199.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__0__right,axiom, % 199.01/199.72 ! [V_a,T_a] : % 199.01/199.72 ( class_Groups_Omonoid__add(T_a) % 199.01/199.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_double__zero__sym,axiom, % 199.01/199.72 ! [V_a_2,T_b] : % 199.01/199.72 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.01/199.72 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) % 199.01/199.72 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__0,axiom, % 199.01/199.72 ! [V_a,T_a] : % 199.01/199.72 ( class_Groups_Ocomm__monoid__add(T_a) % 199.01/199.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__0__left,axiom, % 199.01/199.72 ! [V_a,T_a] : % 199.01/199.72 ( class_Groups_Omonoid__add(T_a) % 199.01/199.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__zero__left,axiom, % 199.01/199.72 ! [V_a,T_a] : % 199.01/199.72 ( class_Rings_Omult__zero(T_a) % 199.01/199.72 => 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) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 199.01/199.72 ! [V_a,T_a] : % 199.01/199.72 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.72 => 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) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__zero__right,axiom, % 199.01/199.72 ! [V_a,T_a] : % 199.01/199.72 ( class_Rings_Omult__zero(T_a) % 199.01/199.72 => 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) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 199.01/199.72 ! [V_a,T_a] : % 199.01/199.72 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.72 => 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) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__eq__0__iff,axiom, % 199.01/199.72 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.72 ( class_Rings_Oring__no__zero__divisors(T_b) % 199.01/199.72 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ba_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.72 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.72 | V_ba_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_no__zero__divisors,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Ono__zero__divisors(T_a) % 199.01/199.72 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 199.01/199.72 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.01/199.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_divisors__zero,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Ono__zero__divisors(T_a) % 199.01/199.72 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 199.01/199.72 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 199.01/199.72 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__0__right,axiom, % 199.01/199.72 ! [V_a,T_a] : % 199.01/199.72 ( class_Groups_Ogroup__add(T_a) % 199.01/199.72 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__self,axiom, % 199.01/199.72 ! [V_a,T_a] : % 199.01/199.72 ( class_Groups_Ogroup__add(T_a) % 199.01/199.72 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_eq__iff__diff__eq__0,axiom, % 199.01/199.72 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.72 ( class_Groups_Oab__group__add(T_b) % 199.01/199.72 => ( V_a_2 = V_ba_2 % 199.01/199.72 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_right__minus__eq,axiom, % 199.01/199.72 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.72 ( class_Groups_Ogroup__add(T_b) % 199.01/199.72 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.72 <=> V_a_2 = V_ba_2 ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_one__neq__zero,axiom, % 199.01/199.72 ! [T_a] : % 199.01/199.72 ( class_Rings_Ozero__neq__one(T_a) % 199.01/199.72 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_zero__neq__one,axiom, % 199.01/199.72 ! [T_a] : % 199.01/199.72 ( class_Rings_Ozero__neq__one(T_a) % 199.01/199.72 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_Suc__neq__Zero,axiom, % 199.01/199.72 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.01/199.72 % 199.01/199.72 fof(fact_Zero__neq__Suc,axiom, % 199.01/199.72 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat_Osimps_I3_J,axiom, % 199.01/199.72 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.01/199.72 % 199.01/199.72 fof(fact_Suc__not__Zero,axiom, % 199.01/199.72 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat_Osimps_I2_J,axiom, % 199.01/199.72 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ). % 199.01/199.72 % 199.01/199.72 fof(fact_Zero__not__Suc,axiom, % 199.01/199.72 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 199.01/199.72 % 199.01/199.72 fof(fact_not__less0,axiom, % 199.01/199.72 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 199.01/199.72 % 199.01/199.72 fof(fact_neq0__conv,axiom, % 199.01/199.72 ! [V_n_2] : % 199.01/199.72 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_less__nat__zero__code,axiom, % 199.01/199.72 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 199.01/199.72 % 199.01/199.72 fof(fact_gr__implies__not0,axiom, % 199.01/199.72 ! [V_n,V_m] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.01/199.72 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_gr0I,axiom, % 199.01/199.72 ! [V_n] : % 199.01/199.72 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__eq__self__zero,axiom, % 199.01/199.72 ! [V_n,V_m] : % 199.01/199.72 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m % 199.01/199.72 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__is__0,axiom, % 199.01/199.72 ! [V_n_2,V_m_2] : % 199.01/199.72 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.72 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.72 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_Nat_Oadd__0__right,axiom, % 199.01/199.72 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 199.01/199.72 % 199.01/199.72 fof(fact_plus__nat_Oadd__0,axiom, % 199.01/199.72 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 199.01/199.72 % 199.01/199.72 fof(fact_le__0__eq,axiom, % 199.01/199.72 ! [V_n_2] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 199.01/199.72 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 199.01/199.72 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diffs0__imp__equal,axiom, % 199.01/199.72 ! [V_n,V_m] : % 199.01/199.72 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.72 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.72 => V_m = V_n ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__self__eq__0,axiom, % 199.01/199.72 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.01/199.72 % 199.01/199.72 fof(fact_minus__nat_Odiff__0,axiom, % 199.01/199.72 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__0__eq__0,axiom, % 199.01/199.72 ! [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) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__0,axiom, % 199.01/199.72 ! [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) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__0__right,axiom, % 199.01/199.72 ! [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) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__is__0,axiom, % 199.01/199.72 ! [V_n_2,V_m_2] : % 199.01/199.72 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.72 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.72 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__cancel1,axiom, % 199.01/199.72 ! [V_n_2,V_m_2,V_k_2] : % 199.01/199.72 ( 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) % 199.01/199.72 <=> ( V_m_2 = V_n_2 % 199.01/199.72 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__cancel2,axiom, % 199.01/199.72 ! [V_n_2,V_k_2,V_m_2] : % 199.01/199.72 ( 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) % 199.01/199.72 <=> ( V_m_2 = V_n_2 % 199.01/199.72 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat__mult__eq__cancel__disj,axiom, % 199.01/199.72 ! [V_n_2,V_m_2,V_k_2] : % 199.01/199.72 ( 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) % 199.01/199.72 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.72 | V_m_2 = V_n_2 ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat__case__0,axiom, % 199.01/199.72 ! [V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ). % 199.01/199.72 % 199.01/199.72 fof(fact_fold__image__def,axiom, % 199.01/199.72 ! [V_g_2,V_f_2,T_c,T_b] : hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_c,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ). % 199.01/199.72 % 199.01/199.72 fof(fact_finite__PlusD_I2_J,axiom, % 199.01/199.72 ! [V_B_2,V_A_2,T_c,T_b] : % 199.01/199.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) % 199.01/199.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_finite__PlusD_I1_J,axiom, % 199.01/199.72 ! [V_B_2,V_A_2,T_c,T_b] : % 199.01/199.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) % 199.01/199.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_finite__Plus,axiom, % 199.01/199.72 ! [V_B_2,T_c,V_A_2,T_b] : % 199.01/199.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.01/199.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_finite__Plus__iff,axiom, % 199.01/199.72 ! [V_B_2,V_A_2,T_c,T_b] : % 199.01/199.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) % 199.01/199.72 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.72 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_card__Plus__conv__if,axiom, % 199.01/199.72 ! [V_B_2,T_c,V_A_2,T_b] : % 199.01/199.72 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.72 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 199.01/199.72 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) % 199.01/199.72 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.72 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 199.01/199.72 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 199.01/199.72 ! [V_a_2,T_b] : % 199.01/199.72 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2))) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 199.01/199.72 ! [V_a_2,T_b] : % 199.01/199.72 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__nonneg__nonneg,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__nonneg__eq__0__iff,axiom, % 199.01/199.72 ! [V_y_2,V_x_2,T_b] : % 199.01/199.72 ( class_Groups_Oordered__comm__monoid__add(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2)) % 199.01/199.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.72 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.72 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__increasing,axiom, % 199.01/199.72 ! [V_c,V_b,V_a,T_a] : % 199.01/199.72 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__increasing2,axiom, % 199.01/199.72 ! [V_a,V_b,V_c,T_a] : % 199.01/199.72 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__nonpos__nonpos,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_zero__le__square,axiom, % 199.01/199.72 ! [V_a,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__ring(T_a) % 199.01/199.72 => 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))) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_zero__le__mult__iff,axiom, % 199.01/199.72 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.72 ( class_Rings_Olinordered__ring__strict(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ba_2))) % 199.01/199.72 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 199.01/199.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) ) % 199.01/199.72 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__le__0__iff,axiom, % 199.01/199.72 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.72 ( class_Rings_Olinordered__ring__strict(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.72 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 199.01/199.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 199.01/199.72 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) ) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__nonneg__nonneg,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Oordered__cancel__semiring(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__nonneg__nonpos,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Oordered__cancel__semiring(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__nonneg__nonpos2,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Oordered__cancel__semiring(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__nonpos__nonneg,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Oordered__cancel__semiring(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__nonpos__nonpos,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Oordered__ring(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__right__mono,axiom, % 199.01/199.72 ! [V_c,V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Oordered__semiring(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__left__mono,axiom, % 199.01/199.72 ! [V_c,V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Oordered__semiring(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__mult__left__mono,axiom, % 199.01/199.72 ! [V_c,V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Oordered__comm__semiring(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__right__mono__neg,axiom, % 199.01/199.72 ! [V_c,V_a,V_b,T_a] : % 199.01/199.72 ( class_Rings_Oordered__ring(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__left__mono__neg,axiom, % 199.01/199.72 ! [V_c,V_a,V_b,T_a] : % 199.01/199.72 ( class_Rings_Oordered__ring(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__mono_H,axiom, % 199.01/199.72 ! [V_d,V_c,V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Oordered__semiring(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.72 => 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))) ) ) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__mono,axiom, % 199.01/199.72 ! [V_d,V_c,V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Oordered__semiring(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.72 => 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))) ) ) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_split__mult__pos__le,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Oordered__ring(T_a) % 199.01/199.72 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) % 199.01/199.72 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 199.01/199.72 => 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))) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_split__mult__neg__le,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Oordered__cancel__semiring(T_a) % 199.01/199.72 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) % 199.01/199.72 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) % 199.01/199.72 => 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))) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__neg__neg,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__pos__pos,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 199.01/199.72 ! [V_a_2,T_b] : % 199.01/199.72 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 199.01/199.72 ! [V_a_2,T_b] : % 199.01/199.72 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2))) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_pos__add__strict,axiom, % 199.01/199.72 ! [V_c,V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__strict__left__mono__neg,axiom, % 199.01/199.72 ! [V_c,V_a,V_b,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__ring__strict(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__strict__right__mono__neg,axiom, % 199.01/199.72 ! [V_c,V_a,V_b,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__ring__strict(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_comm__mult__strict__left__mono,axiom, % 199.01/199.72 ! [V_c,V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__strict__left__mono,axiom, % 199.01/199.72 ! [V_c,V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__strict__right__mono,axiom, % 199.01/199.72 ! [V_c,V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__neg__neg,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__ring__strict(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__neg__pos,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__less__cancel__left__neg,axiom, % 199.01/199.72 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 199.01/199.72 ( class_Rings_Olinordered__ring__strict(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_ba_2))) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),V_a_2)) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_zero__less__mult__pos2,axiom, % 199.01/199.72 ! [V_a,V_b,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.01/199.72 => ( 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))) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_zero__less__mult__pos,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.01/199.72 => ( 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))) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__pos__neg2,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__pos__neg,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__pos__pos,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__less__cancel__left__pos,axiom, % 199.01/199.72 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 199.01/199.72 ( class_Rings_Olinordered__ring__strict(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_ba_2))) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__less__cancel__left__disj,axiom, % 199.01/199.72 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 199.01/199.72 ( class_Rings_Olinordered__ring__strict(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_ba_2))) % 199.01/199.72 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.01/199.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) % 199.01/199.72 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),V_a_2)) ) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__less__cancel__right__disj,axiom, % 199.01/199.72 ! [V_ba_2,V_ca_2,V_a_2,T_b] : % 199.01/199.72 ( class_Rings_Olinordered__ring__strict(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_ca_2))) % 199.01/199.72 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.01/199.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) % 199.01/199.72 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),V_a_2)) ) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_not__square__less__zero,axiom, % 199.01/199.72 ! [V_a,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__ring(T_a) % 199.01/199.72 => ~ 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))) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_le__iff__diff__le__0,axiom, % 199.01/199.72 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.72 ( class_Groups_Oordered__ab__group__add(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_less__iff__diff__less__0,axiom, % 199.01/199.72 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.72 ( class_Groups_Oordered__ab__group__add(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__scale__eq__noteq,axiom, % 199.01/199.72 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 199.01/199.72 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 199.01/199.72 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 199.01/199.72 => ( ( V_a = V_b % 199.01/199.72 & V_c != V_d ) % 199.01/199.72 => 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)) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_sum__squares__eq__zero__iff,axiom, % 199.01/199.72 ! [V_y_2,V_x_2,T_b] : % 199.01/199.72 ( class_Rings_Olinordered__ring__strict(T_b) % 199.01/199.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.72 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.72 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_not__one__le__zero,axiom, % 199.01/199.72 ! [T_a] : % 199.01/199.72 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.72 => ~ 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))) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_zero__le__one,axiom, % 199.01/199.72 ! [T_a] : % 199.01/199.72 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.72 => 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))) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_zero__less__one,axiom, % 199.01/199.72 ! [T_a] : % 199.01/199.72 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_not__one__less__zero,axiom, % 199.01/199.72 ! [T_a] : % 199.01/199.72 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.72 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_less__Suc__eq__0__disj,axiom, % 199.01/199.72 ! [V_n_2,V_m_2] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 199.01/199.72 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.72 | ? [B_j] : % 199.01/199.72 ( V_m_2 = hAPP(c_Nat_OSuc,B_j) % 199.01/199.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_less__Suc0,axiom, % 199.01/199.72 ! [V_n_2] : % 199.01/199.72 ( 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)))) % 199.01/199.72 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_gr0__conv__Suc,axiom, % 199.01/199.72 ! [V_n_2] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 199.01/199.72 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_one__is__add,axiom, % 199.01/199.72 ! [V_n_2,V_m_2] : % 199.01/199.72 ( 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) % 199.01/199.72 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 199.01/199.72 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.01/199.72 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.72 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__is__1,axiom, % 199.01/199.72 ! [V_n_2,V_m_2] : % 199.01/199.72 ( 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)) % 199.01/199.72 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 199.01/199.72 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.01/199.72 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.72 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__gr__0,axiom, % 199.01/199.72 ! [V_n_2,V_m_2] : % 199.01/199.72 ( 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))) % 199.01/199.72 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 199.01/199.72 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_card_Oempty,axiom, % 199.01/199.72 ! [T_b] : hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.01/199.72 % 199.01/199.72 fof(fact_folding_Oeq__fold,axiom, % 199.01/199.72 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.01/199.72 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.01/199.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.72 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_s_2),V_A_2) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_card__infinite,axiom, % 199.01/199.72 ! [V_A_2,T_b] : % 199.01/199.72 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.72 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__eq__1__iff,axiom, % 199.01/199.72 ! [V_n_2,V_m_2] : % 199.01/199.72 ( 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)) % 199.01/199.72 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 199.01/199.72 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__less,axiom, % 199.01/199.72 ! [V_m,V_n] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 199.01/199.72 => 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)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_zero__less__diff,axiom, % 199.01/199.72 ! [V_m_2,V_n_2] : % 199.01/199.72 ( 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))) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__less__mono2,axiom, % 199.01/199.72 ! [V_k,V_j,V_i] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 199.01/199.72 => 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))) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__less__mono1,axiom, % 199.01/199.72 ! [V_k,V_j,V_i] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 199.01/199.72 => 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))) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__less__cancel2,axiom, % 199.01/199.72 ! [V_n_2,V_k_2,V_m_2] : % 199.01/199.72 ( 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))) % 199.01/199.72 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 199.01/199.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__less__cancel1,axiom, % 199.01/199.72 ! [V_n_2,V_m_2,V_k_2] : % 199.01/199.72 ( 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))) % 199.01/199.72 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 199.01/199.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat__0__less__mult__iff,axiom, % 199.01/199.72 ! [V_n_2,V_m_2] : % 199.01/199.72 ( 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))) % 199.01/199.72 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 199.01/199.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat__mult__less__cancel1,axiom, % 199.01/199.72 ! [V_n_2,V_m_2,V_k_2] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 199.01/199.72 => ( 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))) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_nat__mult__eq__cancel1,axiom, % 199.01/199.72 ! [V_n_2,V_m_2,V_k_2] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 199.01/199.72 => ( 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) % 199.01/199.72 <=> V_m_2 = V_n_2 ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__add__0,axiom, % 199.01/199.72 ! [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) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__is__0__eq,axiom, % 199.01/199.72 ! [V_n_2,V_m_2] : % 199.01/199.72 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__is__0__eq_H,axiom, % 199.01/199.72 ! [V_n,V_m] : % 199.01/199.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.01/199.72 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_One__nat__def,axiom, % 199.01/199.72 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__eq__self__implies__10,axiom, % 199.01/199.72 ! [V_n,V_m] : % 199.01/199.72 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 199.01/199.72 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 199.01/199.72 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_diff__Suc,axiom, % 199.01/199.72 ! [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)) ). % 199.01/199.72 % 199.01/199.72 fof(fact_fold__def,axiom, % 199.01/199.72 ! [V_A_2,V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold__graph(T_c,T_b,V_f_2,V_z_2,V_A_2)) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__pos__nonneg,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__nonneg__pos,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__strict__increasing,axiom, % 199.01/199.72 ! [V_c,V_b,V_a,T_a] : % 199.01/199.72 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__strict__increasing2,axiom, % 199.01/199.72 ! [V_c,V_b,V_a,T_a] : % 199.01/199.72 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__neg__nonpos,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_add__nonpos__neg,axiom, % 199.01/199.72 ! [V_b,V_a,T_a] : % 199.01/199.72 ( class_Groups_Oordered__comm__monoid__add(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.72 => 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))) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__le__cancel__left__pos,axiom, % 199.01/199.72 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 199.01/199.72 ( class_Rings_Olinordered__ring__strict(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_ba_2))) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__le__cancel__left__neg,axiom, % 199.01/199.72 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 199.01/199.72 ( class_Rings_Olinordered__ring__strict(T_b) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_ba_2))) % 199.01/199.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_a_2)) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__strict__mono,axiom, % 199.01/199.72 ! [V_d,V_c,V_b,V_a,T_a] : % 199.01/199.72 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.01/199.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.72 => 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))) ) ) ) ) ) ). % 199.01/199.72 % 199.01/199.72 fof(fact_mult__strict__mono_H,axiom, % 199.01/199.73 ! [V_d,V_c,V_b,V_a,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.73 => 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))) ) ) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_mult__less__le__imp__less,axiom, % 199.01/199.73 ! [V_d,V_c,V_b,V_a,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.73 => 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))) ) ) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_mult__le__less__imp__less,axiom, % 199.01/199.73 ! [V_d,V_c,V_b,V_a,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.73 => 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))) ) ) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_mult__right__less__imp__less,axiom, % 199.01/199.73 ! [V_b,V_c,V_a,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__semiring(T_a) % 199.01/199.73 => ( 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))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_mult__less__imp__less__right,axiom, % 199.01/199.73 ! [V_b,V_c,V_a,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.01/199.73 => ( 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))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_mult__left__less__imp__less,axiom, % 199.01/199.73 ! [V_b,V_a,V_c,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__semiring(T_a) % 199.01/199.73 => ( 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))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_mult__less__imp__less__left,axiom, % 199.01/199.73 ! [V_b,V_a,V_c,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.01/199.73 => ( 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))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_mult__right__le__imp__le,axiom, % 199.01/199.73 ! [V_b,V_c,V_a,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.01/199.73 => ( 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))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_mult__left__le__imp__le,axiom, % 199.01/199.73 ! [V_b,V_a,V_c,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__semiring__strict(T_a) % 199.01/199.73 => ( 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))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_sum__squares__ge__zero,axiom, % 199.01/199.73 ! [V_y,V_x,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__ring(T_a) % 199.01/199.73 => 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)))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_sum__squares__le__zero__iff,axiom, % 199.01/199.73 ! [V_y_2,V_x_2,T_b] : % 199.01/199.73 ( class_Rings_Olinordered__ring__strict(T_b) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.73 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.73 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_sum__squares__gt__zero__iff,axiom, % 199.01/199.73 ! [V_y_2,V_x_2,T_b] : % 199.01/199.73 ( class_Rings_Olinordered__ring__strict(T_b) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2)))) % 199.01/199.73 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.73 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_not__sum__squares__lt__zero,axiom, % 199.01/199.73 ! [V_y,V_x,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__ring(T_a) % 199.01/199.73 => ~ 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))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_mult__right__le__one__le,axiom, % 199.01/199.73 ! [V_y,V_x,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 199.01/199.73 => 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)) ) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_mult__left__le__one__le,axiom, % 199.01/199.73 ! [V_y,V_x,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 199.01/199.73 => 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)) ) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zero__less__two,axiom, % 199.01/199.73 ! [T_a] : % 199.01/199.73 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.73 => 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)))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom, % 199.01/199.73 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom, % 199.01/199.73 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_card__eq__0__iff,axiom, % 199.01/199.73 ! [V_A_2,T_b] : % 199.01/199.73 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.73 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.73 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_card__ge__0__finite,axiom, % 199.01/199.73 ! [V_A_2,T_b] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) % 199.01/199.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Suc__pred,axiom, % 199.01/199.73 ! [V_n] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.01/199.73 => 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 ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_diff__Suc__less,axiom, % 199.01/199.73 ! [V_i,V_n] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.01/199.73 => 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)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_n__less__m__mult__n,axiom, % 199.01/199.73 ! [V_m,V_n] : % 199.01/199.73 ( 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)) % 199.01/199.73 => ( 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)) % 199.01/199.73 => 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))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_n__less__n__mult__m,axiom, % 199.01/199.73 ! [V_m,V_n] : % 199.01/199.73 ( 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)) % 199.01/199.73 => ( 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)) % 199.01/199.73 => 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))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_one__less__mult,axiom, % 199.01/199.73 ! [V_m,V_n] : % 199.01/199.73 ( 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)) % 199.01/199.73 => ( 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)) % 199.01/199.73 => 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))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_nat__diff__split__asm,axiom, % 199.01/199.73 ! [V_ba_2,V_a_2,V_Pa_2] : % 199.01/199.73 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_ba_2))) % 199.01/199.73 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_ba_2)) % 199.01/199.73 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 199.01/199.73 | ? [B_d] : % 199.01/199.73 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ba_2),B_d) % 199.01/199.73 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_nat__diff__split,axiom, % 199.01/199.73 ! [V_ba_2,V_a_2,V_Pa_2] : % 199.01/199.73 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_ba_2))) % 199.01/199.73 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_ba_2)) % 199.01/199.73 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 199.01/199.73 & ! [B_d] : % 199.01/199.73 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ba_2),B_d) % 199.01/199.73 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_one__le__mult__iff,axiom, % 199.01/199.73 ! [V_n_2,V_m_2] : % 199.01/199.73 ( 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))) % 199.01/199.73 <=> ( 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)) % 199.01/199.73 & 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)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_mult__le__cancel2,axiom, % 199.01/199.73 ! [V_n_2,V_k_2,V_m_2] : % 199.01/199.73 ( 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))) % 199.01/199.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_mult__le__cancel1,axiom, % 199.01/199.73 ! [V_n_2,V_m_2,V_k_2] : % 199.01/199.73 ( 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))) % 199.01/199.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_nat__mult__le__cancel1,axiom, % 199.01/199.73 ! [V_n_2,V_m_2,V_k_2] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 199.01/199.73 => ( 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))) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom, % 199.01/199.73 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_a_2),V_A_2) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_card__less__Suc2,axiom, % 199.01/199.73 ! [V_i_2,V_M_2] : % 199.01/199.73 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 199.01/199.73 => 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))))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_card__less,axiom, % 199.01/199.73 ! [V_i_2,V_M_2] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 199.01/199.73 => 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) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_card__less__Suc,axiom, % 199.01/199.73 ! [V_i_2,V_M_2] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 199.01/199.73 => 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))))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fold1__eq__fold__idem,axiom, % 199.01/199.73 ! [V_a_2,V_A_2,T_b] : % 199.01/199.73 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_convex__bound__le,axiom, % 199.01/199.73 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__semiring__1(T_a) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 199.01/199.73 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 199.01/199.73 => 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)) ) ) ) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_minus__fold__remove,axiom, % 199.01/199.73 ! [V_B_2,V_A_2,T_b] : % 199.01/199.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2),V_A_2) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_folding__one_Oeq__fold_H,axiom, % 199.01/199.73 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.73 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_x_2),V_A_2) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_card__gt__0__iff,axiom, % 199.01/199.73 ! [V_A_2,T_b] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) % 199.01/199.73 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.73 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Suc__pred_H,axiom, % 199.01/199.73 ! [V_n] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.01/199.73 => 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))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Suc__diff__1,axiom, % 199.01/199.73 ! [V_n] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.01/199.73 => 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 ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_add__eq__if,axiom, % 199.01/199.73 ! [V_n,V_m] : % 199.01/199.73 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n ) % 199.01/199.73 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.73 => 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)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_mult__eq__if,axiom, % 199.01/199.73 ! [V_n,V_m] : % 199.01/199.73 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.73 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.01/199.73 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.73 => 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)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_card__def,axiom, % 199.01/199.73 ! [V_A_2,T_b] : % 199.01/199.73 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) % 199.01/199.73 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_triple_Osize_I1_J,axiom, % 199.01/199.73 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_b,V_fa_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.01/199.73 % 199.01/199.73 fof(fact_even__less__0__iff,axiom, % 199.01/199.73 ! [V_a_2,T_b] : % 199.01/199.73 ( class_Rings_Olinordered__idom(T_b) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fun__left__comm_Ofold__rec,axiom, % 199.01/199.73 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.73 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_triple_Osize_I2_J,axiom, % 199.01/199.73 ! [V_fun2_2,V_com_2,V_fun1_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Plus__eq__empty__conv,axiom, % 199.01/199.73 ! [V_B_2,V_A_2,T_c,T_b] : % 199.01/199.73 ( c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) % 199.01/199.73 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.73 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fun__left__comm_Ofold__insert__remove,axiom, % 199.01/199.73 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_card__Suc__eq,axiom, % 199.01/199.73 ! [V_k_2,V_A_2,T_b] : % 199.01/199.73 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2) % 199.01/199.73 <=> ? [B_b,B_B] : % 199.01/199.73 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B) % 199.01/199.73 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B)) % 199.01/199.73 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2 % 199.01/199.73 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.73 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osize_I4_J,axiom, % 199.01/199.73 ! [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))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osize_I5_J,axiom, % 199.01/199.73 ! [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))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fun__left__comm_Ofun__left__comm,axiom, % 199.01/199.73 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.01/199.73 => 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)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom, % 199.01/199.73 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.01/199.73 => c_Finite__Set_Ofun__left__comm(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fun__left__comm,axiom, % 199.01/199.73 ! [T_b] : % 199.01/199.73 ( class_Groups_Oab__semigroup__mult(T_b) % 199.01/199.73 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fun__left__comm_Ofun__comp__comm,axiom, % 199.01/199.73 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.01/199.73 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fun__left__comm_Ofold__graph__determ,axiom, % 199.01/199.73 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 199.01/199.73 => V_y_2 = V_x_2 ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fun__left__comm_Ofold__fun__comm,axiom, % 199.01/199.73 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osize_I2_J,axiom, % 199.01/199.73 ! [V_fun_2,V_vname_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osize_I1_J,axiom, % 199.01/199.73 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fun__left__comm_Ofold__equality,axiom, % 199.01/199.73 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 199.01/199.73 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fun__left__comm_Ofold__graph__fold,axiom, % 199.01/199.73 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fun__left__comm_Ofold__insert,axiom, % 199.01/199.73 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.73 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fun__left__comm_Ofold__insert2,axiom, % 199.01/199.73 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.73 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osize_I6_J,axiom, % 199.01/199.73 ! [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))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_double__eq__0__iff,axiom, % 199.01/199.73 ! [V_a_2,T_b] : % 199.01/199.73 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.01/199.73 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.73 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom, % 199.01/199.73 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.73 => ? [B_y_H] : % 199.01/199.73 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H) % 199.01/199.73 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Ints__odd__less__0,axiom, % 199.01/199.73 ! [V_a_2,T_b] : % 199.01/199.73 ( class_Rings_Olinordered__idom(T_b) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osize_I12_J,axiom, % 199.01/199.73 ! [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))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osize_I13_J,axiom, % 199.01/199.73 ! [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))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osize_I14_J,axiom, % 199.01/199.73 ! [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))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_ex__least__nat__less,axiom, % 199.01/199.73 ! [V_n_2,V_Pa_2] : % 199.01/199.73 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 199.01/199.73 => ( hBOOL(hAPP(V_Pa_2,V_n_2)) % 199.01/199.73 => ? [B_k] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2)) % 199.01/199.73 & ! [B_i] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k)) % 199.01/199.73 => ~ hBOOL(hAPP(V_Pa_2,B_i)) ) % 199.01/199.73 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Ints__odd__nonzero,axiom, % 199.01/199.73 ! [V_a_2,T_b] : % 199.01/199.73 ( class_Int_Oring__char__0(T_b) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 199.01/199.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom, % 199.01/199.73 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] : % 199.01/199.73 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_v_2)) % 199.01/199.73 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.73 => ~ ! [B_y] : % 199.01/199.73 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y) % 199.01/199.73 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Ints__0,axiom, % 199.01/199.73 ! [T_b] : % 199.01/199.73 ( class_Rings_Oring__1(T_b) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Ints__add,axiom, % 199.01/199.73 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.73 ( class_Rings_Oring__1(T_b) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Int_Oring__1__class_OInts(T_b))) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ba_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Ints__mult,axiom, % 199.01/199.73 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.73 ( class_Rings_Oring__1(T_b) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Int_Oring__1__class_OInts(T_b))) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ba_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Ints__diff,axiom, % 199.01/199.73 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.73 ( class_Rings_Oring__1(T_b) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Int_Oring__1__class_OInts(T_b))) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Ints__1,axiom, % 199.01/199.73 ! [T_b] : % 199.01/199.73 ( class_Rings_Oring__1(T_b) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osize_I10_J,axiom, % 199.01/199.73 ! [V_fun_2,V_vname_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osize_I9_J,axiom, % 199.01/199.73 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Ints__double__eq__0__iff,axiom, % 199.01/199.73 ! [V_a_2,T_b] : % 199.01/199.73 ( class_Int_Oring__char__0(T_b) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 199.01/199.73 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.73 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_card_Oneutral,axiom, % 199.01/199.73 ! [V_A_2,T_b] : % 199.01/199.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.01/199.73 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.01/199.73 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_expand__Suc,axiom, % 199.01/199.73 ! [V_v] : % 199.01/199.73 ( 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))) % 199.01/199.73 => 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))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osize_I11_J,axiom, % 199.01/199.73 ! [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))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osize_I3_J,axiom, % 199.01/199.73 ! [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))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_finite__induct,axiom, % 199.01/199.73 ! [V_Pa_2,V_F_2,T_b] : % 199.01/199.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.01/199.73 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 199.01/199.73 => ( ! [B_x,B_F] : % 199.01/199.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 199.01/199.73 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F)) % 199.01/199.73 => ( hBOOL(hAPP(V_Pa_2,B_F)) % 199.01/199.73 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) ) % 199.01/199.73 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_pair__box_Osize_I1_J,axiom, % 199.01/199.73 ! [V_ba_2,V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__size(T_b,T_c,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_ba_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(V_fb_2,V_ba_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_nat_Osize_I2_J,axiom, % 199.01/199.73 ! [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))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_singleton__quotient,axiom, % 199.01/199.73 ! [V_r_2,V_x_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osimps_I2_J,axiom, % 199.01/199.73 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] : % 199.01/199.73 ( 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) % 199.01/199.73 <=> ( V_loc_2 = V_loc_H_2 % 199.01/199.73 & V_fun_2 = V_fun_H_2 % 199.01/199.73 & V_com_2 = V_com_H_2 ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_pair__box_Oinject,axiom, % 199.01/199.73 ! [V_b_H_2,V_a_H_2,V_ba_2,V_a_2,T_c,T_b] : % 199.01/199.73 ( c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_ba_2) = c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_H_2,V_b_H_2) % 199.01/199.73 <=> ( V_a_2 = V_a_H_2 % 199.01/199.73 & V_ba_2 = V_b_H_2 ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_number__of__reorient,axiom, % 199.01/199.73 ! [V_x_2,V_w_2,T_b] : % 199.01/199.73 ( class_Int_Onumber(T_b) % 199.01/199.73 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2 % 199.01/199.73 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_eq__number__of,axiom, % 199.01/199.73 ! [V_y_2,V_x_2,T_b] : % 199.01/199.73 ( ( class_Int_Onumber__ring(T_b) % 199.01/199.73 & class_Int_Oring__char__0(T_b) ) % 199.01/199.73 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 199.01/199.73 <=> V_x_2 = V_y_2 ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_le__number__of,axiom, % 199.01/199.73 ! [V_y_2,V_x_2,T_b] : % 199.01/199.73 ( ( class_Int_Onumber__ring(T_b) % 199.01/199.73 & class_Rings_Olinordered__idom(T_b) ) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_less__number__of,axiom, % 199.01/199.73 ! [V_y_2,V_x_2,T_b] : % 199.01/199.73 ( ( class_Int_Onumber__ring(T_b) % 199.01/199.73 & class_Rings_Olinordered__idom(T_b) ) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_add__number__of__left,axiom, % 199.01/199.73 ! [V_z,V_w,V_v,T_a] : % 199.01/199.73 ( class_Int_Onumber__ring(T_a) % 199.01/199.73 => 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) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_add__number__of__eq,axiom, % 199.01/199.73 ! [V_w,V_v,T_a] : % 199.01/199.73 ( class_Int_Onumber__ring(T_a) % 199.01/199.73 => 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)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_number__of__add,axiom, % 199.01/199.73 ! [V_w,V_v,T_a] : % 199.01/199.73 ( class_Int_Onumber__ring(T_a) % 199.01/199.73 => 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)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_number__of__mult,axiom, % 199.01/199.73 ! [V_w,V_v,T_a] : % 199.01/199.73 ( class_Int_Onumber__ring(T_a) % 199.01/199.73 => 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)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_arith__simps_I32_J,axiom, % 199.01/199.73 ! [V_w,V_v,T_a] : % 199.01/199.73 ( class_Int_Onumber__ring(T_a) % 199.01/199.73 => 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)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_mult__number__of__left,axiom, % 199.01/199.73 ! [V_z,V_w,V_v,T_a] : % 199.01/199.73 ( class_Int_Onumber__ring(T_a) % 199.01/199.73 => 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) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_number__of__diff,axiom, % 199.01/199.73 ! [V_w,V_v,T_a] : % 199.01/199.73 ( class_Int_Onumber__ring(T_a) % 199.01/199.73 => 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)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_nat_Osize_I1_J,axiom, % 199.01/199.73 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osimps_I39_J,axiom, % 199.01/199.73 ! [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) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osimps_I38_J,axiom, % 199.01/199.73 ! [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) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osimps_I36_J,axiom, % 199.01/199.73 ! [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) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osimps_I37_J,axiom, % 199.01/199.73 ! [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) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osimps_I22_J,axiom, % 199.01/199.73 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osimps_I23_J,axiom, % 199.01/199.73 ! [V_fun_2,V_vname_2,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_OAss(V_vname_2,V_fun_2) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osimps_I35_J,axiom, % 199.01/199.73 ! [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) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osimps_I34_J,axiom, % 199.01/199.73 ! [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) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osimps_I10_J,axiom, % 199.01/199.73 ! [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) ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osimps_I11_J,axiom, % 199.01/199.73 ! [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 ). % 199.01/199.73 % 199.01/199.73 fof(fact_com_Osimps_I66_J,axiom, % 199.01/199.73 ! [V_com_2,V_fun_2,V_loc_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(hAPP(V_f3_2,V_loc_2),V_fun_2),V_com_2) ). % 199.01/199.73 % 199.01/199.73 fof(fact_le__number__of__eq__not__less,axiom, % 199.01/199.73 ! [V_w_2,V_v_2,T_b] : % 199.01/199.73 ( ( class_Int_Onumber(T_b) % 199.01/199.73 & class_Orderings_Olinorder(T_b) ) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 199.01/199.73 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_right__distrib__number__of,axiom, % 199.01/199.73 ! [V_c,V_b,V_v,T_b] : % 199.01/199.73 ( ( class_Int_Onumber(T_b) % 199.01/199.73 & class_Rings_Osemiring(T_b) ) % 199.01/199.73 => 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)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_left__distrib__number__of,axiom, % 199.01/199.73 ! [V_v,V_b,V_a,T_b] : % 199.01/199.73 ( ( class_Int_Onumber(T_b) % 199.01/199.73 & class_Rings_Osemiring(T_b) ) % 199.01/199.73 => 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))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_add__number__of__diff1,axiom, % 199.01/199.73 ! [V_c,V_w,V_v,T_a] : % 199.01/199.73 ( class_Int_Onumber__ring(T_a) % 199.01/199.73 => 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) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_left__diff__distrib__number__of,axiom, % 199.01/199.73 ! [V_v,V_b,V_a,T_b] : % 199.01/199.73 ( ( class_Int_Onumber(T_b) % 199.01/199.73 & class_Rings_Oring(T_b) ) % 199.01/199.73 => 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))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_right__diff__distrib__number__of,axiom, % 199.01/199.73 ! [V_c,V_b,V_v,T_b] : % 199.01/199.73 ( ( class_Int_Onumber(T_b) % 199.01/199.73 & class_Rings_Oring(T_b) ) % 199.01/199.73 => 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)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Ints__number__of,axiom, % 199.01/199.73 ! [V_w_2,T_b] : % 199.01/199.73 ( class_Int_Onumber__ring(T_b) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_quotientI,axiom, % 199.01/199.73 ! [V_r_2,V_A_2,V_x_2,T_b] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_pair__box_Osize_I2_J,axiom, % 199.01/199.73 ! [V_b,V_a,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(T_a,T_b)),c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a,V_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.01/199.73 % 199.01/199.73 fof(fact_pair__box_Orecs,axiom, % 199.01/199.73 ! [V_ba_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__rec(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_ba_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_ba_2) ). % 199.01/199.73 % 199.01/199.73 fof(fact_pair__box_Osimps_I2_J,axiom, % 199.01/199.73 ! [V_ba_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__case(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_ba_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_ba_2) ). % 199.01/199.73 % 199.01/199.73 fof(fact_nat_Osize_I4_J,axiom, % 199.01/199.73 ! [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))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Image__mono,axiom, % 199.01/199.73 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Image__empty,axiom, % 199.01/199.73 ! [V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_quotient__def,axiom, % 199.01/199.73 ! [V_r_2,V_A_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_quotientE,axiom, % 199.01/199.73 ! [V_r_2,V_A_2,V_X_2,T_b] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 199.01/199.73 => ~ ! [B_x] : % 199.01/199.73 ( V_X_2 = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 199.01/199.73 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_SUP1__I,axiom, % 199.01/199.73 ! [T_c,V_ba_2,V_B_2,V_A_2,V_a_2,T_b] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_ba_2)) % 199.01/199.73 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_ba_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_nat__size,axiom, % 199.01/199.73 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ). % 199.01/199.73 % 199.01/199.73 fof(fact_plus__numeral__code_I9_J,axiom, % 199.01/199.73 ! [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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_less__eq__number__of__int__code,axiom, % 199.01/199.73 ! [V_l_2,V_k_2] : % 199.01/199.73 ( 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))) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_less__number__of__int__code,axiom, % 199.01/199.73 ! [V_l_2,V_k_2] : % 199.01/199.73 ( 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))) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_times__numeral__code_I5_J,axiom, % 199.01/199.73 ! [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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_odd__less__0,axiom, % 199.01/199.73 ! [V_z_2] : % 199.01/199.73 ( 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))) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_odd__nonzero,axiom, % 199.01/199.73 ! [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) ). % 199.01/199.73 % 199.01/199.73 fof(fact_le__imp__0__less,axiom, % 199.01/199.73 ! [V_z] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.01/199.73 => 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))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zadd__0,axiom, % 199.01/199.73 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ). % 199.01/199.73 % 199.01/199.73 fof(fact_zadd__0__right,axiom, % 199.01/199.73 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 199.01/199.73 % 199.01/199.73 fof(fact_less__bin__lemma,axiom, % 199.01/199.73 ! [V_l_2,V_k_2] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) % 199.01/199.73 <=> 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))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_int__one__le__iff__zero__less,axiom, % 199.01/199.73 ! [V_z_2] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zmult__zless__mono2,axiom, % 199.01/199.73 ! [V_k,V_j,V_i] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 199.01/199.73 => 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))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_pos__zmult__eq__1__iff,axiom, % 199.01/199.73 ! [V_n_2,V_m_2] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2)) % 199.01/199.73 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 199.01/199.73 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 199.01/199.73 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_int__0__less__1,axiom, % 199.01/199.73 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))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zle__diff1__eq,axiom, % 199.01/199.73 ! [V_z_2,V_w_2] : % 199.01/199.73 ( 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)))) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zdiff__zmult__distrib,axiom, % 199.01/199.73 ! [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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zdiff__zmult__distrib2,axiom, % 199.01/199.73 ! [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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zmult__assoc,axiom, % 199.01/199.73 ! [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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zmult__commute,axiom, % 199.01/199.73 ! [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) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zmult__1__right,axiom, % 199.01/199.73 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 199.01/199.73 % 199.01/199.73 fof(fact_zmult__1,axiom, % 199.01/199.73 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 199.01/199.73 % 199.01/199.73 fof(fact_zless__linear,axiom, % 199.01/199.73 ! [V_y,V_x] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y)) % 199.01/199.73 | V_x = V_y % 199.01/199.73 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zle__antisym,axiom, % 199.01/199.73 ! [V_w,V_z] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) % 199.01/199.73 => V_z = V_w ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zle__trans,axiom, % 199.01/199.73 ! [V_k,V_j,V_i] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zle__linear,axiom, % 199.01/199.73 ! [V_w,V_z] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 199.01/199.73 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zle__refl,axiom, % 199.01/199.73 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_less__by__empty,axiom, % 199.01/199.73 ! [V_B_2,T_b,V_A_2] : % 199.01/199.73 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zless__le,axiom, % 199.01/199.73 ! [V_w_2,V_z_2] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2)) % 199.01/199.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2)) % 199.01/199.73 & V_z_2 != V_w_2 ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zadd__strict__right__mono,axiom, % 199.01/199.73 ! [V_k,V_j,V_i] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 199.01/199.73 => 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))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zadd__assoc,axiom, % 199.01/199.73 ! [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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zadd__left__commute,axiom, % 199.01/199.73 ! [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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zadd__commute,axiom, % 199.01/199.73 ! [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) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zadd__left__mono,axiom, % 199.01/199.73 ! [V_k,V_j,V_i] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 199.01/199.73 => 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))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zadd__zless__mono,axiom, % 199.01/199.73 ! [V_z,V_z_H,V_w,V_w_H] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 199.01/199.73 => 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))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zle__add1__eq__le,axiom, % 199.01/199.73 ! [V_z_2,V_w_2] : % 199.01/199.73 ( 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)))) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_add1__zle__eq,axiom, % 199.01/199.73 ! [V_z_2,V_w_2] : % 199.01/199.73 ( 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)) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zless__imp__add1__zle,axiom, % 199.01/199.73 ! [V_z,V_w] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z)) % 199.01/199.73 => 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)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zadd__zmult__distrib2,axiom, % 199.01/199.73 ! [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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zadd__zmult__distrib,axiom, % 199.01/199.73 ! [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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zless__add1__eq,axiom, % 199.01/199.73 ! [V_z_2,V_w_2] : % 199.01/199.73 ( 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)))) % 199.01/199.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 199.01/199.73 | V_w_2 = V_z_2 ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_SUP1__iff,axiom, % 199.01/199.73 ! [V_ba_2,V_B_2,V_A_2,T_c,T_b] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_ba_2)) % 199.01/199.73 <=> ? [B_x] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.01/199.73 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_ba_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Image__UN,axiom, % 199.01/199.73 ! [V_B_2,V_A_2,T_d,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_finite__UN,axiom, % 199.01/199.73 ! [V_B_2,T_c,V_A_2,T_b] : % 199.01/199.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.01/199.73 <=> ! [B_x] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.01/199.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__o,axiom, % 199.01/199.73 ! [V_f_2,V_g_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_b,tc_HOL_Obool),T_c,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_g_2) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Image__eq__UN,axiom, % 199.01/199.73 ! [V_B_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Relation_OImage(T_c,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_nat_Osize_I3_J,axiom, % 199.01/199.73 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) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__I,axiom, % 199.01/199.73 ! [V_B_2,V_ba_2,T_c,V_A_2,V_a_2,T_b] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(V_B_2,V_a_2))) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_image__eq__UN,axiom, % 199.01/199.73 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_self__quotient__aux2,axiom, % 199.01/199.73 ! [V_q,V_r,V_a] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.01/199.73 => ( 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)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_self__quotient__aux1,axiom, % 199.01/199.73 ! [V_q,V_r,V_a] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.01/199.73 => ( 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)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_q__pos__lemma,axiom, % 199.01/199.73 ! [V_r_H,V_q_H,V_b_H] : % 199.01/199.73 ( 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))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_q__neg__lemma,axiom, % 199.01/199.73 ! [V_r_H,V_q_H,V_b_H] : % 199.01/199.73 ( 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))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_unique__quotient__lemma,axiom, % 199.01/199.73 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 199.01/199.73 ( 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))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zdiv__mono2__lemma,axiom, % 199.01/199.73 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 199.01/199.73 ( 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) % 199.01/199.73 => ( 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))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_number__of__is__id,axiom, % 199.01/199.73 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ). % 199.01/199.73 % 199.01/199.73 fof(fact_int__0__neq__1,axiom, % 199.01/199.73 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 199.01/199.73 % 199.01/199.73 fof(fact_ball__UN,axiom, % 199.01/199.73 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] : % 199.01/199.73 ( ! [B_x] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.01/199.73 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.01/199.73 <=> ! [B_x] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.01/199.73 => ! [B_xa] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x))) % 199.01/199.73 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_SUP__commute,axiom, % 199.01/199.73 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 199.01/199.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.01/199.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__extend__simps_I9_J,axiom, % 199.01/199.73 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__simps_I9_J,axiom, % 199.01/199.73 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__UN__flatten,axiom, % 199.01/199.73 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_SUP__le__iff,axiom, % 199.01/199.73 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] : % 199.01/199.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_M_2)),V_u_2)) % 199.01/199.73 <=> ! [B_x] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_less__SUP__iff,axiom, % 199.01/199.73 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] : % 199.01/199.73 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.01/199.73 & class_Orderings_Olinorder(T_b) ) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_f_2))) % 199.01/199.73 <=> ? [B_x] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.01/199.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__iff,axiom, % 199.01/199.73 ! [V_B_2,V_A_2,T_c,V_ba_2,T_b] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_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))) % 199.01/199.73 <=> ? [B_x] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.01/199.73 & hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,B_x))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_SUP__const,axiom, % 199.01/199.73 ! [V_M_2,T_b,V_A_2,T_c] : % 199.01/199.73 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.01/199.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UNION__empty__conv_I1_J,axiom, % 199.01/199.73 ! [V_B_2,V_A_2,T_c,T_b] : % 199.01/199.73 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) % 199.01/199.73 <=> ! [B_x] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.01/199.73 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__empty2,axiom, % 199.01/199.73 ! [V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__constant,axiom, % 199.01/199.73 ! [V_ca_2,T_c,T_b,V_A_2] : % 199.01/199.73 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_ca_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 199.01/199.73 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_ca_2)) = V_ca_2 ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UNION__empty__conv_I2_J,axiom, % 199.01/199.73 ! [V_B_2,V_A_2,T_b,T_c] : % 199.01/199.73 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.73 <=> ! [B_x] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.01/199.73 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__subset__iff,axiom, % 199.01/199.73 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2)) % 199.01/199.73 <=> ! [B_x] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__extend__simps_I10_J,axiom, % 199.01/199.73 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ). % 199.01/199.73 % 199.01/199.73 fof(fact_image__UN,axiom, % 199.01/199.73 ! [V_B_2,V_A_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Oimage(T_c,T_b,V_f_2)),V_B_2)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__simps_I10_J,axiom, % 199.01/199.73 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_SUPR__apply,axiom, % 199.01/199.73 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 199.01/199.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.01/199.73 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__simps_I6_J,axiom, % 199.01/199.73 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__extend__simps_I6_J,axiom, % 199.01/199.73 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_SUP__subset,axiom, % 199.01/199.73 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 199.01/199.73 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_B_2),V_f_2))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_le__SUPI,axiom, % 199.01/199.73 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 199.01/199.73 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_M_2))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__insert__distrib,axiom, % 199.01/199.73 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 199.01/199.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__upper,axiom, % 199.01/199.73 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__simps_I1_J,axiom, % 199.01/199.73 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 199.01/199.73 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 199.01/199.73 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__singleton,axiom, % 199.01/199.73 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ). % 199.01/199.73 % 199.01/199.73 fof(fact_UN__extend__simps_I1_J,axiom, % 199.01/199.73 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 199.01/199.73 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.73 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) % 199.01/199.73 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.01/199.73 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zdiv__mono2__neg__lemma,axiom, % 199.01/199.73 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 199.01/199.73 ( 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) % 199.01/199.73 => ( 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))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_unique__quotient__lemma__neg,axiom, % 199.01/199.73 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 199.01/199.73 ( 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))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H)) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 199.01/199.73 ! [V_y,V_x] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.01/199.73 => 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))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 199.01/199.73 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))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 199.01/199.73 ! [V_y,V_x] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.01/199.73 => 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))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 199.01/199.73 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))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_of__nat__number__of__lemma,axiom, % 199.01/199.73 ! [V_v,T_a] : % 199.01/199.73 ( class_Int_Onumber__ring(T_a) % 199.01/199.73 => ( ( 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))) % 199.01/199.73 => 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) ) % 199.01/199.73 & ( ~ 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))) % 199.01/199.73 => 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) ) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_finite__UN__I,axiom, % 199.01/199.73 ! [V_B_2,T_c,V_A_2,T_b] : % 199.01/199.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.01/199.73 => ( ! [B_a] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 199.01/199.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 199.01/199.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_mult__nat__number__of,axiom, % 199.01/199.73 ! [V_v_H,V_v] : % 199.01/199.73 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.01/199.73 => 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) ) % 199.01/199.73 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.01/199.73 => 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)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_SUP2__I,axiom, % 199.01/199.73 ! [T_d,T_c,V_ca_2,V_ba_2,V_B_2,V_A_2,V_a_2,T_b] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_ba_2),V_ca_2)) % 199.01/199.73 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_ba_2),V_ca_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_of__nat__eq__iff,axiom, % 199.01/199.73 ! [V_n_2,V_m_2,T_b] : % 199.01/199.73 ( class_Nat_Osemiring__char__0(T_b) % 199.01/199.73 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2) % 199.01/199.73 <=> V_m_2 = V_n_2 ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_transfer__nat__int__set__relations_I2_J,axiom, % 199.01/199.73 ! [V_A_2,V_x_2] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2)) % 199.01/199.73 <=> 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))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom, % 199.01/199.73 ! [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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_transfer__nat__int__set__relations_I1_J,axiom, % 199.01/199.73 ! [V_A_2] : % 199.01/199.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2)) % 199.01/199.73 <=> 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))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Pls__def,axiom, % 199.01/199.73 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 199.01/199.73 % 199.01/199.73 fof(fact_rel__simps_I19_J,axiom, % 199.01/199.73 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_rel__simps_I2_J,axiom, % 199.01/199.73 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_add__Pls__right,axiom, % 199.01/199.73 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 199.01/199.73 % 199.01/199.73 fof(fact_add__Pls,axiom, % 199.01/199.73 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ). % 199.01/199.73 % 199.01/199.73 fof(fact_mult__Pls,axiom, % 199.01/199.73 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ). % 199.01/199.73 % 199.01/199.73 fof(fact_diff__bin__simps_I1_J,axiom, % 199.01/199.73 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 199.01/199.73 % 199.01/199.73 fof(fact_transfer__int__nat__numerals_I1_J,axiom, % 199.01/199.73 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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 199.01/199.73 ! [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))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom, % 199.01/199.73 ! [V_Pa_2] : % 199.01/199.73 ( ? [B_x] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 199.01/199.73 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.01/199.73 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom, % 199.01/199.73 ! [V_Pa_2] : % 199.01/199.73 ( ! [B_x] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 199.01/199.73 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.01/199.73 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_transfer__int__nat__relations_I2_J,axiom, % 199.01/199.73 ! [V_y_2,V_x_2] : % 199.01/199.73 ( 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))) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_transfer__int__nat__relations_I3_J,axiom, % 199.01/199.73 ! [V_y_2,V_x_2] : % 199.01/199.73 ( 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))) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 199.01/199.73 ! [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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom, % 199.01/199.73 ! [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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_transfer__int__nat__numerals_I2_J,axiom, % 199.01/199.73 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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_int__eq__0__conv,axiom, % 199.01/199.73 ! [V_n_2] : % 199.01/199.73 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.01/199.73 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_int__0,axiom, % 199.01/199.73 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) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zero__zle__int,axiom, % 199.01/199.73 ! [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))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_int__less__0__conv,axiom, % 199.01/199.73 ! [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))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zless__int,axiom, % 199.01/199.73 ! [V_n_2,V_m_2] : % 199.01/199.73 ( 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))) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zle__int,axiom, % 199.01/199.73 ! [V_n_2,V_m_2] : % 199.01/199.73 ( 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))) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zadd__int,axiom, % 199.01/199.73 ! [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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zadd__int__left,axiom, % 199.01/199.73 ! [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) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zle__iff__zadd,axiom, % 199.01/199.73 ! [V_z_2,V_w_2] : % 199.01/199.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) % 199.01/199.73 <=> ? [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)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_of__nat__0__le__iff,axiom, % 199.01/199.73 ! [V_n,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.73 => 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))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zero__le__imp__of__nat,axiom, % 199.01/199.73 ! [V_m,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.73 => 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))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_of__nat__less__0__iff,axiom, % 199.01/199.73 ! [V_m,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.73 => ~ 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))) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_number__of__Pls,axiom, % 199.01/199.73 ! [T_a] : % 199.01/199.73 ( class_Int_Onumber__ring(T_a) % 199.01/199.73 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_semiring__norm_I112_J,axiom, % 199.01/199.73 ! [T_a] : % 199.01/199.73 ( class_Int_Onumber__ring(T_a) % 199.01/199.73 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_int__mult,axiom, % 199.01/199.73 ! [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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zmult__int,axiom, % 199.01/199.73 ! [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)) ). % 199.01/199.73 % 199.01/199.73 fof(fact_add__numeral__0,axiom, % 199.01/199.73 ! [V_a,T_a] : % 199.01/199.73 ( class_Int_Onumber__ring(T_a) % 199.01/199.73 => 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 ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_add__numeral__0__right,axiom, % 199.01/199.73 ! [V_a,T_a] : % 199.01/199.73 ( class_Int_Onumber__ring(T_a) % 199.01/199.73 => 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 ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_of__nat__0,axiom, % 199.01/199.73 ! [T_a] : % 199.01/199.73 ( class_Rings_Osemiring__1(T_a) % 199.01/199.73 => 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) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_of__nat__less__iff,axiom, % 199.01/199.73 ! [V_n_2,V_m_2,T_b] : % 199.01/199.73 ( class_Rings_Olinordered__semidom(T_b) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2))) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_less__imp__of__nat__less,axiom, % 199.01/199.73 ! [V_n,V_m,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.01/199.73 => 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))) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_of__nat__less__imp__less,axiom, % 199.01/199.73 ! [V_n,V_m,T_a] : % 199.01/199.73 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.73 => ( 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))) % 199.01/199.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_int__1,axiom, % 199.01/199.73 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) ). % 199.01/199.73 % 199.01/199.73 fof(fact_of__nat__le__iff,axiom, % 199.01/199.73 ! [V_n_2,V_m_2,T_b] : % 199.01/199.73 ( class_Rings_Olinordered__semidom(T_b) % 199.01/199.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2))) % 199.01/199.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_of__nat__add,axiom, % 199.01/199.73 ! [V_n,V_m,T_a] : % 199.01/199.73 ( class_Rings_Osemiring__1(T_a) % 199.01/199.73 => 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)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_bin__less__0__simps_I1_J,axiom, % 199.01/199.73 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 199.01/199.73 % 199.01/199.73 fof(fact_semiring__norm_I113_J,axiom, % 199.01/199.73 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ). % 199.01/199.73 % 199.01/199.73 fof(fact_nat__number__of__Pls,axiom, % 199.01/199.73 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.01/199.73 % 199.01/199.73 fof(fact_of__nat__mult,axiom, % 199.01/199.73 ! [V_n,V_m,T_a] : % 199.01/199.73 ( class_Rings_Osemiring__1(T_a) % 199.01/199.73 => 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)) ) ). % 199.01/199.73 % 199.01/199.73 fof(fact_zero__is__num__zero,axiom, % 199.01/199.73 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ). % 199.01/199.73 % 199.01/199.73 fof(fact_of__nat__1,axiom, % 199.01/199.73 ! [T_a] : % 199.01/199.73 ( class_Rings_Osemiring__1(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Ints__of__nat,axiom, % 199.01/199.74 ! [V_n_2,T_b] : % 199.01/199.74 ( class_Rings_Oring__1(T_b) % 199.01/199.74 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom, % 199.01/199.74 ! [V_Pa_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_Pa_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_Pa_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_int__le__0__conv,axiom, % 199.01/199.74 ! [V_n_2] : % 199.01/199.74 ( 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))) % 199.01/199.74 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_int__Suc0__eq__1,axiom, % 199.01/199.74 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) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zless__iff__Suc__zadd,axiom, % 199.01/199.74 ! [V_z_2,V_w_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 199.01/199.74 <=> ? [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))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_int__Suc,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zdiff__int,axiom, % 199.01/199.74 ! [V_m,V_n] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_of__nat__Suc,axiom, % 199.01/199.74 ! [V_m,T_a] : % 199.01/199.74 ( class_Rings_Osemiring__1(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_eq__0__number__of,axiom, % 199.01/199.74 ! [V_v_2] : % 199.01/199.74 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_eq__number__of__0,axiom, % 199.01/199.74 ! [V_v_2] : % 199.01/199.74 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_less__nat__number__of,axiom, % 199.01/199.74 ! [V_v_H_2,V_v_2] : % 199.01/199.74 ( 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))) % 199.01/199.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) % 199.01/199.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) ) % 199.01/199.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_of__nat__diff,axiom, % 199.01/199.74 ! [V_m,V_n,T_a] : % 199.01/199.74 ( class_Rings_Oring__1(T_a) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.01/199.74 => 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)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_le__nat__number__of,axiom, % 199.01/199.74 ! [V_v_H_2,V_v_2] : % 199.01/199.74 ( 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))) % 199.01/199.74 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2)) % 199.01/199.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zero__less__int__conv,axiom, % 199.01/199.74 ! [V_n_2] : % 199.01/199.74 ( 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))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zmult__zless__mono2__lemma,axiom, % 199.01/199.74 ! [V_k,V_j,V_i] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 199.01/199.74 => 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))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_le__special_I1_J,axiom, % 199.01/199.74 ! [V_y_2,T_b] : % 199.01/199.74 ( ( class_Int_Onumber__ring(T_b) % 199.01/199.74 & class_Rings_Olinordered__idom(T_b) ) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_le__special_I3_J,axiom, % 199.01/199.74 ! [V_x_2,T_b] : % 199.01/199.74 ( ( class_Int_Onumber__ring(T_b) % 199.01/199.74 & class_Rings_Olinordered__idom(T_b) ) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_less__special_I3_J,axiom, % 199.01/199.74 ! [V_x_2,T_b] : % 199.01/199.74 ( ( class_Int_Onumber__ring(T_b) % 199.01/199.74 & class_Rings_Olinordered__idom(T_b) ) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_less__special_I1_J,axiom, % 199.01/199.74 ! [V_y_2,T_b] : % 199.01/199.74 ( ( class_Int_Onumber__ring(T_b) % 199.01/199.74 & class_Rings_Olinordered__idom(T_b) ) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_of__nat__0__less__iff,axiom, % 199.01/199.74 ! [V_n_2,T_b] : % 199.01/199.74 ( class_Rings_Olinordered__semidom(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_less__0__number__of,axiom, % 199.01/199.74 ! [V_v_2] : % 199.01/199.74 ( 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))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_add__nat__number__of,axiom, % 199.01/199.74 ! [V_v_H,V_v] : % 199.01/199.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.01/199.74 => 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) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.01/199.74 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 199.01/199.74 => 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) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 199.01/199.74 => 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)) ) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__number__of__mult__left,axiom, % 199.01/199.74 ! [V_k,V_v_H,V_v] : % 199.01/199.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.01/199.74 => 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) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.01/199.74 => 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) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zdiff__int__split,axiom, % 199.01/199.74 ! [V_y_2,V_x_2,V_Pa_2] : % 199.01/199.74 ( hBOOL(hAPP(V_Pa_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)))) % 199.01/199.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2)) % 199.01/199.74 => hBOOL(hAPP(V_Pa_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)))) ) % 199.01/199.74 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 199.01/199.74 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_number__of2,axiom, % 199.01/199.74 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))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_semiring__1__class_Oof__nat__code,axiom, % 199.01/199.74 ! [V_n_2,T_b] : % 199.01/199.74 ( class_Rings_Osemiring__1(T_b) % 199.01/199.74 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_Groups_Oone__class_Oone(T_b)),V_n_2,c_Groups_Ozero__class_Ozero(T_b)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__1__add__number__of,axiom, % 199.01/199.74 ! [V_v] : % 199.01/199.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.01/199.74 => 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) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.01/199.74 => 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)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__number__of__add__1,axiom, % 199.01/199.74 ! [V_v] : % 199.01/199.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.01/199.74 => 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) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 199.01/199.74 => 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)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__number__of__diff__1,axiom, % 199.01/199.74 ! [V_v] : % 199.01/199.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 199.01/199.74 => 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) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 199.01/199.74 => 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)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nats__number__of,axiom, % 199.01/199.74 ! [V_w_2,T_b] : % 199.01/199.74 ( class_Int_Onumber__ring(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2)) % 199.01/199.74 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom, % 199.01/199.74 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))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_int__int__eq,axiom, % 199.01/199.74 ! [V_n_2,V_m_2] : % 199.01/199.74 ( 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) % 199.01/199.74 <=> V_m_2 = V_n_2 ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_transfer__int__nat__relations_I1_J,axiom, % 199.01/199.74 ! [V_y_2,V_x_2] : % 199.01/199.74 ( 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) % 199.01/199.74 <=> V_x_2 = V_y_2 ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_transfer__nat__int__set__relations_I3_J,axiom, % 199.01/199.74 ! [V_B_2,V_A_2] : % 199.01/199.74 ( V_A_2 = V_B_2 % 199.01/199.74 <=> 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_transfer__nat__int__set__relations_I4_J,axiom, % 199.01/199.74 ! [V_B_2,V_A_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.74 <=> 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))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_transfer__nat__int__set__relations_I5_J,axiom, % 199.01/199.74 ! [V_B_2,V_A_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.01/199.74 <=> 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))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_SUP2__iff,axiom, % 199.01/199.74 ! [V_ca_2,V_ba_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_ba_2),V_ca_2)) % 199.01/199.74 <=> ? [B_x] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.01/199.74 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_ba_2),V_ca_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_succ__pred,axiom, % 199.01/199.74 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ). % 199.01/199.74 % 199.01/199.74 fof(fact_le__iff__pred__less,axiom, % 199.01/199.74 ! [V_l_2,V_k_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_pred__def,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_of__nat__aux_Osimps_I1_J,axiom, % 199.01/199.74 ! [V_i_2,V_inc_2,T_b] : % 199.01/199.74 ( class_Rings_Osemiring__1(T_b) % 199.01/199.74 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_of__nat__aux_Osimps_I2_J,axiom, % 199.01/199.74 ! [V_i_2,V_n_2,V_inc_2,T_b] : % 199.01/199.74 ( class_Rings_Osemiring__1(T_b) % 199.01/199.74 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_succ__def,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nats__0,axiom, % 199.01/199.74 ! [T_b] : % 199.01/199.74 ( class_Rings_Osemiring__1(T_b) % 199.01/199.74 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nats__add,axiom, % 199.01/199.74 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.74 ( class_Rings_Osemiring__1(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 199.01/199.74 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ba_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nats__mult,axiom, % 199.01/199.74 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.74 ( class_Rings_Osemiring__1(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 199.01/199.74 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ba_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nats__1,axiom, % 199.01/199.74 ! [T_b] : % 199.01/199.74 ( class_Rings_Osemiring__1(T_b) % 199.01/199.74 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_of__nat__in__Nats,axiom, % 199.01/199.74 ! [V_n_2,T_b] : % 199.01/199.74 ( class_Rings_Osemiring__1(T_b) % 199.01/199.74 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_number__of__succ,axiom, % 199.01/199.74 ! [V_k,T_a] : % 199.01/199.74 ( class_Int_Onumber__ring(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Suc__diff__number__of,axiom, % 199.01/199.74 ! [V_m,V_v] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v)) % 199.01/199.74 => 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))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Suc__nat__number__of__add,axiom, % 199.01/199.74 ! [V_n,V_v] : % 199.01/199.74 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.01/199.74 => 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) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.01/199.74 => 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) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_tsub__def,axiom, % 199.01/199.74 ! [V_x,V_y] : % 199.01/199.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 199.01/199.74 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 199.01/199.74 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_decr__mult__lemma,axiom, % 199.01/199.74 ! [V_k_2,V_Pa_2,V_d_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 199.01/199.74 => ( ! [B_x] : % 199.01/199.74 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.01/199.74 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) ) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 199.01/199.74 => ! [B_x] : % 199.01/199.74 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.01/199.74 => hBOOL(hAPP(V_Pa_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)))) ) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_incr__mult__lemma,axiom, % 199.01/199.74 ! [V_k_2,V_Pa_2,V_d_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 199.01/199.74 => ( ! [B_x] : % 199.01/199.74 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.01/199.74 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) ) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 199.01/199.74 => ! [B_x] : % 199.01/199.74 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.01/199.74 => hBOOL(hAPP(V_Pa_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)))) ) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Suc__nat__number__of,axiom, % 199.01/199.74 ! [V_v] : % 199.01/199.74 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.01/199.74 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.01/199.74 => 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)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zero__less__imp__eq__int,axiom, % 199.01/199.74 ! [V_k] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 199.01/199.74 => ? [B_n] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 199.01/199.74 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_of__nat__number__of__eq,axiom, % 199.01/199.74 ! [V_v,T_a] : % 199.01/199.74 ( class_Int_Onumber__ring(T_a) % 199.01/199.74 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.01/199.74 => 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) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.01/199.74 => 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) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_not__neg__0,axiom, % 199.01/199.74 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_not__neg__int,axiom, % 199.01/199.74 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_not__neg__1,axiom, % 199.01/199.74 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_not__neg__eq__ge__0,axiom, % 199.01/199.74 ! [V_x_2] : % 199.01/199.74 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2)) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_neg__def,axiom, % 199.01/199.74 ! [V_Z_2] : % 199.01/199.74 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2)) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_not__neg__number__of__Pls,axiom, % 199.01/199.74 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_neg__imp__number__of__eq__0,axiom, % 199.01/199.74 ! [V_v] : % 199.01/199.74 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.01/199.74 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_eq__nat__number__of,axiom, % 199.01/199.74 ! [V_v_H_2,V_v_2] : % 199.01/199.74 ( 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) % 199.01/199.74 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 199.01/199.74 => 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))) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 199.01/199.74 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 199.01/199.74 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 199.01/199.74 => V_v_2 = V_v_H_2 ) ) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__number__of__add__left,axiom, % 199.01/199.74 ! [V_k,V_v_H,V_v] : % 199.01/199.74 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.01/199.74 => 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) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.01/199.74 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 199.01/199.74 => 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) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 199.01/199.74 => 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) ) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_int__nat__number__of,axiom, % 199.01/199.74 ! [V_v] : % 199.01/199.74 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.01/199.74 => 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) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.01/199.74 => 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) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 199.01/199.74 ! [V_y,V_x] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.01/199.74 => 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))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_neg__number__of__pred__iff__0,axiom, % 199.01/199.74 ! [V_v_2] : % 199.01/199.74 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2)))) % 199.01/199.74 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_tsub__eq,axiom, % 199.01/199.74 ! [V_x,V_y] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 199.01/199.74 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__case__add__eq__if,axiom, % 199.01/199.74 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_le__number__of__Suc,axiom, % 199.01/199.74 ! [V_n_2,V_v_2] : % 199.01/199.74 ( 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))) % 199.01/199.74 <=> 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)))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_le__Suc__number__of,axiom, % 199.01/199.74 ! [V_v_2,V_n_2] : % 199.01/199.74 ( 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))) % 199.01/199.74 <=> 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))))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_less__Suc__number__of,axiom, % 199.01/199.74 ! [V_v_2,V_n_2] : % 199.01/199.74 ( 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))) % 199.01/199.74 <=> 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))))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_less__number__of__Suc,axiom, % 199.01/199.74 ! [V_n_2,V_v_2] : % 199.01/199.74 ( 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))) % 199.01/199.74 <=> 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)))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__number__of__Bit1,axiom, % 199.01/199.74 ! [V_w_2] : % 199.01/199.74 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 199.01/199.74 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 199.01/199.74 => 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)))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_decr__lemma,axiom, % 199.01/199.74 ! [V_z,V_x,V_d] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__idempotent,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I51_J,axiom, % 199.01/199.74 ! [V_l_2,V_k_2] : % 199.01/199.74 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2) % 199.01/199.74 <=> V_k_2 = V_l_2 ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__abs__mult__distrib,axiom, % 199.01/199.74 ! [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))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__le__D1,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 199.01/199.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__ge__self,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__zero,axiom, % 199.01/199.74 ! [T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__eq__0,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 199.01/199.74 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.74 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__add__abs,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__mult,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__mult__self,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__minus__commute,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__one,axiom, % 199.01/199.74 ! [T_a] : % 199.01/199.74 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.74 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__of__nat,axiom, % 199.01/199.74 ! [V_n,T_a] : % 199.01/199.74 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__int__eq,axiom, % 199.01/199.74 ! [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) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I34_J,axiom, % 199.01/199.74 ! [V_l_2,V_k_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_less__eq__int__code_I16_J,axiom, % 199.01/199.74 ! [V_k2_2,V_k1_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_less__int__code_I16_J,axiom, % 199.01/199.74 ! [V_k2_2,V_k1_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I17_J,axiom, % 199.01/199.74 ! [V_l_2,V_k_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__int,axiom, % 199.01/199.74 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I39_J,axiom, % 199.01/199.74 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I46_J,axiom, % 199.01/199.74 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ). % 199.01/199.74 % 199.01/199.74 fof(fact_transfer__nat__int__numerals_I4_J,axiom, % 199.01/199.74 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)))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__of__nonneg,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.74 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__le__zero__iff,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.74 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__ge__zero,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => 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))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__of__pos,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.74 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zero__less__abs__iff,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2))) % 199.01/199.74 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__not__less__zero,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => ~ 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))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__triangle__ineq,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => 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)))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__mult__less,axiom, % 199.01/199.74 ! [V_d,V_b,V_c,V_a,T_a] : % 199.01/199.74 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c)) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d)) % 199.01/199.74 => 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))) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__triangle__ineq3,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => 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)))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__triangle__ineq2,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => 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)))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__triangle__ineq2__sym,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => 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)))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__0,axiom, % 199.01/199.74 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.01/199.74 % 199.01/199.74 fof(fact_transfer__nat__int__numerals_I1_J,axiom, % 199.01/199.74 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_eq__nat__nat__iff,axiom, % 199.01/199.74 ! [V_z_H_2,V_z_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2)) % 199.01/199.74 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2) % 199.01/199.74 <=> V_z_2 = V_z_H_2 ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_transfer__nat__int__relations_I1_J,axiom, % 199.01/199.74 ! [V_y_2,V_x_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 199.01/199.74 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2) % 199.01/199.74 <=> V_x_2 = V_y_2 ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_all__nat,axiom, % 199.01/199.74 ! [V_Pa_2] : % 199.01/199.74 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 199.01/199.74 <=> ! [B_x] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 199.01/199.74 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_ex__nat,axiom, % 199.01/199.74 ! [V_Pa_2] : % 199.01/199.74 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 199.01/199.74 <=> ? [B_x] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 199.01/199.74 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_bin__less__0__simps_I4_J,axiom, % 199.01/199.74 ! [V_w_2] : % 199.01/199.74 ( 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))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__zmult__eq__1,axiom, % 199.01/199.74 ! [V_n,V_m] : % 199.01/199.74 ( 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) % 199.01/199.74 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__number__of,axiom, % 199.01/199.74 ! [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) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__number__of__def,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I22_J,axiom, % 199.01/199.74 ! [V_k_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I12_J,axiom, % 199.01/199.74 ! [V_k_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_transfer__nat__int__numerals_I2_J,axiom, % 199.01/199.74 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Bit1__def,axiom, % 199.01/199.74 ! [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) ). % 199.01/199.74 % 199.01/199.74 fof(fact_neg__nat,axiom, % 199.01/199.74 ! [V_z] : % 199.01/199.74 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 199.01/199.74 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_not__neg__nat,axiom, % 199.01/199.74 ! [V_z] : % 199.01/199.74 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 199.01/199.74 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_neg__number__of__Bit1,axiom, % 199.01/199.74 ! [V_w_2] : % 199.01/199.74 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2)))) % 199.01/199.74 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_transfer__int__nat__set__return__embed,axiom, % 199.01/199.74 ! [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 ). % 199.01/199.74 % 199.01/199.74 fof(fact_succ__Pls,axiom, % 199.01/199.74 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__eq__mult,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Rings_Oordered__ring__abs(T_a) % 199.01/199.74 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.74 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) % 199.01/199.74 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.01/199.74 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 199.01/199.74 => 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)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__mult__pos,axiom, % 199.01/199.74 ! [V_y,V_x,T_a] : % 199.01/199.74 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.01/199.74 => 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)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__triangle__ineq4,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => 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)))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__diff__triangle__ineq,axiom, % 199.01/199.74 ! [V_d,V_c,V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => 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))))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom, % 199.01/199.74 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))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__0__iff,axiom, % 199.01/199.74 ! [V_i_2] : % 199.01/199.74 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__le__0,axiom, % 199.01/199.74 ! [V_z] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.01/199.74 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__mono__iff,axiom, % 199.01/199.74 ! [V_w_2,V_z_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 199.01/199.74 => ( 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))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zless__nat__conj,axiom, % 199.01/199.74 ! [V_z_2,V_w_2] : % 199.01/199.74 ( 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))) % 199.01/199.74 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 199.01/199.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_number__of__Bit1,axiom, % 199.01/199.74 ! [V_w,T_a] : % 199.01/199.74 ( class_Int_Onumber__ring(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zabs__less__one__iff,axiom, % 199.01/199.74 ! [V_z_2] : % 199.01/199.74 ( 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))) % 199.01/199.74 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_transfer__nat__int__relations_I3_J,axiom, % 199.01/199.74 ! [V_y_2,V_x_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 199.01/199.74 => ( 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))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__1,axiom, % 199.01/199.74 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_mult__numeral__1__right,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Int_Onumber__ring(T_a) % 199.01/199.74 => 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 ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_mult__numeral__1,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Int_Onumber__ring(T_a) % 199.01/199.74 => 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 ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_int__nat__eq,axiom, % 199.01/199.74 ! [V_z] : % 199.01/199.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.01/199.74 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) % 199.01/199.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.01/199.74 => 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) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_int__eq__iff,axiom, % 199.01/199.74 ! [V_z_2,V_m_2] : % 199.01/199.74 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2 % 199.01/199.74 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2) % 199.01/199.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__0__le,axiom, % 199.01/199.74 ! [V_z] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.01/199.74 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zless__nat__eq__int__zless,axiom, % 199.01/199.74 ! [V_z_2,V_m_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2))) % 199.01/199.74 <=> 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_semiring__norm_I110_J,axiom, % 199.01/199.74 ! [T_a] : % 199.01/199.74 ( class_Int_Onumber__ring(T_a) % 199.01/199.74 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_numeral__1__eq__1,axiom, % 199.01/199.74 ! [T_a] : % 199.01/199.74 ( class_Int_Onumber__ring(T_a) % 199.01/199.74 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I5_J,axiom, % 199.01/199.74 ! [V_k_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I29_J,axiom, % 199.01/199.74 ! [V_k_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_one__is__num__one,axiom, % 199.01/199.74 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__numeral__1__eq__1,axiom, % 199.01/199.74 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Numeral1__eq1__nat,axiom, % 199.01/199.74 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zero__less__nat__eq,axiom, % 199.01/199.74 ! [V_z_2] : % 199.01/199.74 ( 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))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__less__eq__zless,axiom, % 199.01/199.74 ! [V_z_2,V_w_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 199.01/199.74 => ( 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))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_transfer__nat__int__relations_I2_J,axiom, % 199.01/199.74 ! [V_y_2,V_x_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 199.01/199.74 => ( 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))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__eq__iff,axiom, % 199.01/199.74 ! [V_m_2,V_w_2] : % 199.01/199.74 ( hAPP(c_Int_Onat,V_w_2) = V_m_2 % 199.01/199.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 199.01/199.74 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 199.01/199.74 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__eq__iff2,axiom, % 199.01/199.74 ! [V_w_2,V_m_2] : % 199.01/199.74 ( V_m_2 = hAPP(c_Int_Onat,V_w_2) % 199.01/199.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 199.01/199.74 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 199.01/199.74 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__le__eq__zle,axiom, % 199.01/199.74 ! [V_z_2,V_w_2] : % 199.01/199.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 199.01/199.74 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) % 199.01/199.74 => ( 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))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_split__nat,axiom, % 199.01/199.74 ! [V_i_2,V_Pa_2] : % 199.01/199.74 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2))) % 199.01/199.74 <=> ( ! [B_n] : % 199.01/199.74 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) % 199.01/199.74 => hBOOL(hAPP(V_Pa_2,B_n)) ) % 199.01/199.74 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.01/199.74 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__add__distrib,axiom, % 199.01/199.74 ! [V_z_H,V_z] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 199.01/199.74 => 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)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom, % 199.01/199.74 ! [V_y,V_x] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.01/199.74 => 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)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_int__eq__iff__number__of,axiom, % 199.01/199.74 ! [V_v_2,V_m_2] : % 199.01/199.74 ( 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) % 199.01/199.74 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)) % 199.01/199.74 & 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))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__mult__distrib,axiom, % 199.01/199.74 ! [V_z_H,V_z] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom, % 199.01/199.74 ! [V_y,V_x] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.01/199.74 => 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)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__diff__distrib,axiom, % 199.01/199.74 ! [V_z,V_z_H] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 199.01/199.74 => 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)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_numeral__1__eq__Suc__0,axiom, % 199.01/199.74 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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_numeral__3__eq__3,axiom, % 199.01/199.74 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)))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 199.01/199.74 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))))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Suc3__eq__add__3,axiom, % 199.01/199.74 ! [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) ). % 199.01/199.74 % 199.01/199.74 fof(fact_transfer__int__nat__numerals_I4_J,axiom, % 199.01/199.74 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)))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom, % 199.01/199.74 ! [V_y,V_x] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.01/199.74 => 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)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_diff__nat__eq__if,axiom, % 199.01/199.74 ! [V_z_2,V_z_H_2] : % 199.01/199.74 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 199.01/199.74 => 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) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 199.01/199.74 => 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)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_one__less__nat__eq,axiom, % 199.01/199.74 ! [V_z_2] : % 199.01/199.74 ( 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))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__less__iff,axiom, % 199.01/199.74 ! [V_m_2,V_w_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2)) % 199.01/199.74 <=> 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))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_le__special_I2_J,axiom, % 199.01/199.74 ! [V_y_2,T_b] : % 199.01/199.74 ( ( class_Int_Onumber__ring(T_b) % 199.01/199.74 & class_Rings_Olinordered__idom(T_b) ) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_le__special_I4_J,axiom, % 199.01/199.74 ! [V_x_2,T_b] : % 199.01/199.74 ( ( class_Int_Onumber__ring(T_b) % 199.01/199.74 & class_Rings_Olinordered__idom(T_b) ) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Suc__nat__eq__nat__zadd1,axiom, % 199.01/199.74 ! [V_z] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_less__special_I4_J,axiom, % 199.01/199.74 ! [V_x_2,T_b] : % 199.01/199.74 ( ( class_Int_Onumber__ring(T_b) % 199.01/199.74 & class_Rings_Olinordered__idom(T_b) ) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_less__special_I2_J,axiom, % 199.01/199.74 ! [V_y_2,T_b] : % 199.01/199.74 ( ( class_Int_Onumber__ring(T_b) % 199.01/199.74 & class_Rings_Olinordered__idom(T_b) ) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_add__special_I3_J,axiom, % 199.01/199.74 ! [V_v,T_a] : % 199.01/199.74 ( class_Int_Onumber__ring(T_a) % 199.01/199.74 => 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))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_add__special_I2_J,axiom, % 199.01/199.74 ! [V_w,T_a] : % 199.01/199.74 ( class_Int_Onumber__ring(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Suc__diff__eq__diff__pred,axiom, % 199.01/199.74 ! [V_m,V_n] : % 199.01/199.74 ( 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)) % 199.01/199.74 => 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)))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom, % 199.01/199.74 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_Pa_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_Pa_2),c_Int_Onat)))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_eq__number__of__Suc,axiom, % 199.01/199.74 ! [V_n_2,V_v_2] : % 199.01/199.74 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2) % 199.01/199.74 <=> 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))))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Suc__eq__number__of,axiom, % 199.01/199.74 ! [V_v_2,V_n_2] : % 199.01/199.74 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 199.01/199.74 <=> 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))))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__case__number__of,axiom, % 199.01/199.74 ! [V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_incr__lemma,axiom, % 199.01/199.74 ! [V_x,V_z,V_d] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 199.01/199.74 => 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)))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__aux__def,axiom, % 199.01/199.74 ! [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) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__rec__add__eq__if,axiom, % 199.01/199.74 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__rec__number__of,axiom, % 199.01/199.74 ! [V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),c_Int_Onat)))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_transfer__morphism__nat__int,axiom, % 199.01/199.74 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))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_diff__nat__number__of,axiom, % 199.01/199.74 ! [V_v_2,V_v_H_2] : % 199.01/199.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 199.01/199.74 => 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) ) % 199.01/199.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 199.01/199.74 => 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)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_of__nat__double,axiom, % 199.01/199.74 ! [V_x,T_a] : % 199.01/199.74 ( class_Rings_Osemiring__1(T_a) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.01/199.74 => 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))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_power__number__of__odd__number__of,axiom, % 199.01/199.74 ! [V_v_2,V_w_2,T_b] : % 199.01/199.74 ( class_Int_Onumber__ring(T_b) % 199.01/199.74 => ( ( 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))) % 199.01/199.74 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)))),c_COMBI(T_b))) ) % 199.01/199.74 & ( ~ 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))) % 199.01/199.74 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_inj__uminus,axiom, % 199.01/199.74 ! [V_A_2,T_b] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add(T_b) % 199.01/199.74 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_negative__zle,axiom, % 199.01/199.74 ! [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))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_negative__zless,axiom, % 199.01/199.74 ! [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))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zpower__int,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_int__power,axiom, % 199.01/199.74 ! [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) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_arith__simps_I30_J,axiom, % 199.01/199.74 ! [V_w,T_a] : % 199.01/199.74 ( class_Int_Onumber__ring(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_number__of__minus,axiom, % 199.01/199.74 ! [V_w,T_a] : % 199.01/199.74 ( class_Int_Onumber__ring(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I48_J,axiom, % 199.01/199.74 ! [V_l_2,V_k_2] : % 199.01/199.74 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2) % 199.01/199.74 <=> V_k_2 = V_l_2 ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__Bit0,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zminus__zminus,axiom, % 199.01/199.74 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ). % 199.01/199.74 % 199.01/199.74 fof(fact_compl__eq__compl__iff,axiom, % 199.01/199.74 ! [V_y_2,V_x_2,T_b] : % 199.01/199.74 ( class_Lattices_Oboolean__algebra(T_b) % 199.01/199.74 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2) % 199.01/199.74 <=> V_x_2 = V_y_2 ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_neg__equal__iff__equal,axiom, % 199.01/199.74 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_b) % 199.01/199.74 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2) % 199.01/199.74 <=> V_a_2 = V_ba_2 ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__equation__iff,axiom, % 199.01/199.74 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_b) % 199.01/199.74 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_ba_2 % 199.01/199.74 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2) = V_a_2 ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_equation__minus__iff,axiom, % 199.01/199.74 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_b) % 199.01/199.74 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2) % 199.01/199.74 <=> V_ba_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_uminus__apply,axiom, % 199.01/199.74 ! [V_x_2,V_A_2,T_c,T_b] : % 199.01/199.74 ( class_Groups_Ouminus(T_b) % 199.01/199.74 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_double__compl,axiom, % 199.01/199.74 ! [V_x,T_a] : % 199.01/199.74 ( class_Lattices_Oboolean__algebra(T_a) % 199.01/199.74 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__minus,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_a) % 199.01/199.74 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_fun__Compl__def,axiom, % 199.01/199.74 ! [V_x_2,V_A_2,T_c,T_b] : % 199.01/199.74 ( class_Groups_Ouminus(T_b) % 199.01/199.74 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_power2__minus,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Rings_Oring__1(T_a) % 199.01/199.74 => 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)))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__number__of__mult,axiom, % 199.01/199.74 ! [V_z,V_w,T_a] : % 199.01/199.74 ( class_Int_Onumber__ring(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_le__minus__iff,axiom, % 199.01/199.74 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__le__iff,axiom, % 199.01/199.74 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_ba_2)) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2)),V_a_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_neg__le__iff__le,axiom, % 199.01/199.74 ! [V_a_2,V_ba_2,T_b] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_compl__le__compl__iff,axiom, % 199.01/199.74 ! [V_y_2,V_x_2,T_b] : % 199.01/199.74 ( class_Lattices_Oboolean__algebra(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_le__imp__neg__le,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add(T_a) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.01/199.74 => 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))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_compl__mono,axiom, % 199.01/199.74 ! [V_y,V_x,T_a] : % 199.01/199.74 ( class_Lattices_Oboolean__algebra(T_a) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.01/199.74 => 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))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_neg__equal__zero,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.01/199.74 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2 % 199.01/199.74 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_neg__equal__0__iff__equal,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_b) % 199.01/199.74 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.74 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_equal__neg__zero,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.01/199.74 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 199.01/199.74 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_neg__0__equal__iff__equal,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_b) % 199.01/199.74 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 199.01/199.74 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__zero,axiom, % 199.01/199.74 ! [T_a] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_a) % 199.01/199.74 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_less__minus__iff,axiom, % 199.01/199.74 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__less__iff,axiom, % 199.01/199.74 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_ba_2)) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2)),V_a_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_neg__less__iff__less,axiom, % 199.01/199.74 ! [V_a_2,V_ba_2,T_b] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__add__cancel,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_a) % 199.01/199.74 => 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 ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_add__minus__cancel,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_a) % 199.01/199.74 => 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 ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__add,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__add__distrib,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Oab__group__add(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__mult__right,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Rings_Oring(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__mult__left,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Rings_Oring(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__mult__commute,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Rings_Oring(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__mult__minus,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Rings_Oring(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_square__eq__iff,axiom, % 199.01/199.74 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.74 ( class_Rings_Oidom(T_b) % 199.01/199.74 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_ba_2) % 199.01/199.74 <=> ( V_a_2 = V_ba_2 % 199.01/199.74 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 199.01/199.74 ! [V_q,V_y,V_x,T_a] : % 199.01/199.74 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__diff__eq,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Oab__group__add(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_power__number__of__even,axiom, % 199.01/199.74 ! [V_w_2,V_z_2,T_b] : % 199.01/199.74 ( class_Int_Onumber__ring(T_b) % 199.01/199.74 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_less__eq__int__code_I13_J,axiom, % 199.01/199.74 ! [V_k2_2,V_k1_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I31_J,axiom, % 199.01/199.74 ! [V_l_2,V_k_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I14_J,axiom, % 199.01/199.74 ! [V_l_2,V_k_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_less__int__code_I13_J,axiom, % 199.01/199.74 ! [V_k2_2,V_k1_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zminus__0,axiom, % 199.01/199.74 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) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I44_J,axiom, % 199.01/199.74 ! [V_k_2] : % 199.01/199.74 ( c_Int_OBit0(V_k_2) = c_Int_OPls % 199.01/199.74 <=> V_k_2 = c_Int_OPls ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I38_J,axiom, % 199.01/199.74 ! [V_l_2] : % 199.01/199.74 ( c_Int_OPls = c_Int_OBit0(V_l_2) % 199.01/199.74 <=> c_Int_OPls = V_l_2 ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Bit0__Pls,axiom, % 199.01/199.74 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I50_J,axiom, % 199.01/199.74 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I49_J,axiom, % 199.01/199.74 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ). % 199.01/199.74 % 199.01/199.74 fof(fact_add__Bit0__Bit0,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Bit0__def,axiom, % 199.01/199.74 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ). % 199.01/199.74 % 199.01/199.74 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 199.01/199.74 ! [V_q,V_p,V_x,T_a] : % 199.01/199.74 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zpower__zpower,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zpower__number__of__even,axiom, % 199.01/199.74 ! [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))) ). % 199.01/199.74 % 199.01/199.74 fof(fact_mult__Bit0,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__minus__cancel,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__Pls,axiom, % 199.01/199.74 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ). % 199.01/199.74 % 199.01/199.74 fof(fact_zminus__zadd__distrib,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__numeral__code_I5_J,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_diff__bin__simps_I7_J,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 199.01/199.74 ! [V_x,T_a] : % 199.01/199.74 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.74 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zmult__zminus,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_power2__eq__1__iff,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 199.01/199.74 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_b) % 199.01/199.74 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b) % 199.01/199.74 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_power__minus__even,axiom, % 199.01/199.74 ! [V_n,V_a,T_a] : % 199.01/199.74 ( class_Rings_Oring__1(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom, % 199.01/199.74 ! [V_n,V_x] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__power__eq,axiom, % 199.01/199.74 ! [V_n,V_z] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_power__minus1__even,axiom, % 199.01/199.74 ! [V_n,T_a] : % 199.01/199.74 ( class_Rings_Oring__1(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_power__number__of__even__number__of,axiom, % 199.01/199.74 ! [V_w_2,V_v_2,T_b] : % 199.01/199.74 ( class_Int_Onumber__ring(T_b) % 199.01/199.74 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_power__minus1__odd,axiom, % 199.01/199.74 ! [V_n,T_a] : % 199.01/199.74 ( class_Rings_Oring__1(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zero__eq__power2,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 199.01/199.74 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.74 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zero__power2,axiom, % 199.01/199.74 ! [T_a] : % 199.01/199.74 ( class_Rings_Osemiring__1(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_power2__eq__square,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Groups_Omonoid__mult(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 199.01/199.74 ! [V_x,T_a] : % 199.01/199.74 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.74 => 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)))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_one__power2,axiom, % 199.01/199.74 ! [T_a] : % 199.01/199.74 ( class_Rings_Osemiring__1(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_power__even__eq,axiom, % 199.01/199.74 ! [V_n,V_a,T_a] : % 199.01/199.74 ( class_Groups_Omonoid__mult(T_a) % 199.01/199.74 => 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)))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_power2__abs,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.74 => 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)))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__power2,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.74 => 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)))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_neg__0__le__iff__le,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_le__minus__self__iff,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_neg__le__0__iff__le,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__le__self__iff,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_neg__0__less__iff__less,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_neg__less__0__iff__less,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_neg__less__nonneg,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_less__minus__self__iff,axiom, % 199.01/199.74 ! [V_a_2,T_b] : % 199.01/199.74 ( class_Rings_Olinordered__idom(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_minus__unique,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_a) % 199.01/199.74 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 199.01/199.74 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_ab__left__minus,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Groups_Oab__group__add(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_left__minus,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_eq__neg__iff__add__eq__0,axiom, % 199.01/199.74 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_b) % 199.01/199.74 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2) % 199.01/199.74 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ba_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_right__minus,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_diff__0,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_diff__minus__eq__add,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_ab__diff__minus,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Oab__group__add(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_diff__def,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Ogroup__add(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 199.01/199.74 ! [V_y,V_x,T_a] : % 199.01/199.74 ( class_Rings_Ocomm__ring__1(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 199.01/199.74 ! [V_x,T_a] : % 199.01/199.74 ( class_Rings_Ocomm__ring__1(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_square__eq__1__iff,axiom, % 199.01/199.74 ! [V_x_2,T_b] : % 199.01/199.74 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 199.01/199.74 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 199.01/199.74 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b) % 199.01/199.74 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 199.01/199.74 ! [V_q,V_x,T_a] : % 199.01/199.74 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 199.01/199.74 ! [V_q,V_x,T_a] : % 199.01/199.74 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 199.01/199.74 ! [V_q,V_x,T_a] : % 199.01/199.74 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 199.01/199.74 ! [V_x,T_a] : % 199.01/199.74 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.74 => 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) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 199.01/199.74 ! [V_q,V_p,V_x,T_a] : % 199.01/199.74 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.74 => 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)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__le__D2,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 199.01/199.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__leI,axiom, % 199.01/199.74 ! [V_b,V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) % 199.01/199.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__le__iff,axiom, % 199.01/199.74 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_ba_2)) % 199.01/199.74 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) % 199.01/199.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_ba_2)) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__ge__minus__self,axiom, % 199.01/199.74 ! [V_a,T_a] : % 199.01/199.74 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.74 => 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))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_abs__less__iff,axiom, % 199.01/199.74 ! [V_ba_2,V_a_2,T_b] : % 199.01/199.74 ( class_Rings_Olinordered__idom(T_b) % 199.01/199.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_ba_2)) % 199.01/199.74 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) % 199.01/199.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_ba_2)) ) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_bin__less__0__simps_I3_J,axiom, % 199.01/199.74 ! [V_w_2] : % 199.01/199.74 ( 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))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 199.01/199.74 ! [V_n,V_x] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.01/199.74 => 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))) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__rec__0,axiom, % 199.01/199.74 ! [V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ). % 199.01/199.74 % 199.01/199.74 fof(fact_nat__rec__Suc,axiom, % 199.01/199.74 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),V_nat_2)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I21_J,axiom, % 199.01/199.74 ! [V_k_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I27_J,axiom, % 199.01/199.74 ! [V_k_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_less__eq__int__code_I14_J,axiom, % 199.01/199.74 ! [V_k2_2,V_k1_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I32_J,axiom, % 199.01/199.74 ! [V_l_2,V_k_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I10_J,axiom, % 199.01/199.74 ! [V_k_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I4_J,axiom, % 199.01/199.74 ! [V_k_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_rel__simps_I16_J,axiom, % 199.01/199.74 ! [V_l_2,V_k_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_less__int__code_I15_J,axiom, % 199.01/199.74 ! [V_k2_2,V_k1_2] : % 199.01/199.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 199.01/199.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_add__Bit0__Bit1,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_add__Bit1__Bit0,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zpower__zadd__distrib,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_zadd__zminus__inverse2,axiom, % 199.01/199.74 ! [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) ). % 199.01/199.74 % 199.01/199.74 fof(fact_negative__eq__positive,axiom, % 199.01/199.74 ! [V_m_2,V_n_2] : % 199.01/199.74 ( 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) % 199.01/199.74 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.74 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.01/199.74 % 199.01/199.74 fof(fact_diff__bin__simps_I3_J,axiom, % 199.01/199.74 ! [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)) ). % 199.01/199.74 % 199.01/199.74 fof(fact_diff__bin__simps_I9_J,axiom, % 199.01/199.75 ! [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)) ). % 199.01/199.75 % 199.01/199.75 fof(fact_diff__bin__simps_I10_J,axiom, % 199.01/199.75 ! [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)) ). % 199.01/199.75 % 199.01/199.75 fof(fact_not__int__zless__negative,axiom, % 199.01/199.75 ! [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)))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_diff__int__def__symmetric,axiom, % 199.01/199.75 ! [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) ). % 199.01/199.75 % 199.01/199.75 fof(fact_diff__int__def,axiom, % 199.01/199.75 ! [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)) ). % 199.01/199.75 % 199.01/199.75 fof(fact_Ints__minus,axiom, % 199.01/199.75 ! [V_a_2,T_b] : % 199.01/199.75 ( class_Rings_Oring__1(T_b) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 199.01/199.75 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_Ints__power,axiom, % 199.01/199.75 ! [V_n_2,V_a_2,T_b] : % 199.01/199.75 ( class_Rings_Oring__1(T_b) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 199.01/199.75 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_neg__number__of__Bit0,axiom, % 199.01/199.75 ! [V_w_2] : % 199.01/199.75 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2)))) % 199.01/199.75 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_pred__Bit1,axiom, % 199.01/199.75 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ). % 199.01/199.75 % 199.01/199.75 fof(fact_pred__Bit0,axiom, % 199.01/199.75 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ). % 199.01/199.75 % 199.01/199.75 fof(fact_minus__Bit1,axiom, % 199.01/199.75 ! [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))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power2__eq__imp__eq,axiom, % 199.01/199.75 ! [V_y,V_x,T_a] : % 199.01/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.75 => ( 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)))) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.01/199.75 => V_x = V_y ) ) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power2__le__imp__le,axiom, % 199.01/199.75 ! [V_y,V_x,T_a] : % 199.01/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.75 => ( 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)))))) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.01/199.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_zero__le__power2,axiom, % 199.01/199.75 ! [V_a,T_a] : % 199.01/199.75 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.75 => 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)))))) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power2__less__0,axiom, % 199.01/199.75 ! [V_a,T_a] : % 199.01/199.75 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.75 => ~ 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))) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_zero__less__power2,axiom, % 199.01/199.75 ! [V_a_2,T_b] : % 199.01/199.75 ( class_Rings_Olinordered__idom(T_b) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 199.01/199.75 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_sum__power2__eq__zero__iff,axiom, % 199.01/199.75 ! [V_y_2,V_x_2,T_b] : % 199.01/199.75 ( class_Rings_Olinordered__idom(T_b) % 199.01/199.75 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.75 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.75 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power2__eq__square__number__of,axiom, % 199.01/199.75 ! [V_w,T_b] : % 199.01/199.75 ( ( class_Groups_Omonoid__mult(T_b) % 199.01/199.75 & class_Int_Onumber(T_b) ) % 199.01/199.75 => 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)) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_succ__Bit0,axiom, % 199.01/199.75 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ). % 199.01/199.75 % 199.01/199.75 fof(fact_succ__Bit1,axiom, % 199.01/199.75 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ). % 199.01/199.75 % 199.01/199.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 199.01/199.75 ! [V_n,V_x,T_a] : % 199.01/199.75 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.75 => 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)) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_nat__number__of__Bit0,axiom, % 199.01/199.75 ! [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))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power__nat__number__of__number__of,axiom, % 199.01/199.75 ! [V_w,V_v] : % 199.01/199.75 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.01/199.75 => 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)) ) % 199.01/199.75 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.01/199.75 => 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))) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power__nat__number__of,axiom, % 199.01/199.75 ! [V_n,V_v] : % 199.01/199.75 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.01/199.75 => 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) ) % 199.01/199.75 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.01/199.75 => 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)) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power2__less__imp__less,axiom, % 199.01/199.75 ! [V_y,V_x,T_a] : % 199.01/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.75 => ( 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)))))) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.01/199.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_sum__power2__le__zero__iff,axiom, % 199.01/199.75 ! [V_y_2,V_x_2,T_b] : % 199.01/199.75 ( class_Rings_Olinordered__idom(T_b) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_b))) % 199.01/199.75 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.75 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_sum__power2__ge__zero,axiom, % 199.01/199.75 ! [V_y,V_x,T_a] : % 199.01/199.75 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.75 => 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))))))) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_not__sum__power2__lt__zero,axiom, % 199.01/199.75 ! [V_y,V_x,T_a] : % 199.01/199.75 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.75 => ~ 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))) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_sum__power2__gt__zero__iff,axiom, % 199.01/199.75 ! [V_y_2,V_x_2,T_b] : % 199.01/199.75 ( class_Rings_Olinordered__idom(T_b) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) % 199.01/199.75 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.01/199.75 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power2__sum,axiom, % 199.01/199.75 ! [V_y,V_x,T_a] : % 199.01/199.75 ( class_Int_Onumber__ring(T_a) % 199.01/199.75 => 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)) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_zero__le__even__power_H,axiom, % 199.01/199.75 ! [V_n,V_a,T_a] : % 199.01/199.75 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.75 => 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)))) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power__odd__eq,axiom, % 199.01/199.75 ! [V_n,V_a,T_a] : % 199.01/199.75 ( class_Groups_Omonoid__mult(T_a) % 199.01/199.75 => 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))))) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom, % 199.01/199.75 ! [V_n,V_x,T_a] : % 199.01/199.75 ( class_Rings_Ocomm__semiring__1(T_a) % 199.01/199.75 => 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))) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_number__of__Bit0,axiom, % 199.01/199.75 ! [V_w,T_a] : % 199.01/199.75 ( class_Int_Onumber__ring(T_a) % 199.01/199.75 => 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)) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_abs__of__nonpos,axiom, % 199.01/199.75 ! [V_a,T_a] : % 199.01/199.75 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_abs__minus__le__zero,axiom, % 199.01/199.75 ! [V_a,T_a] : % 199.01/199.75 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.75 => 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))) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_abs__of__neg,axiom, % 199.01/199.75 ! [V_a,T_a] : % 199.01/199.75 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_abs__if,axiom, % 199.01/199.75 ! [V_a,T_a] : % 199.01/199.75 ( class_Groups_Oabs__if(T_a) % 199.01/199.75 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) % 199.01/199.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_less__eq__int__code_I15_J,axiom, % 199.01/199.75 ! [V_k2_2,V_k1_2] : % 199.01/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 199.01/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_rel__simps_I33_J,axiom, % 199.01/199.75 ! [V_l_2,V_k_2] : % 199.01/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 199.01/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_less__int__code_I14_J,axiom, % 199.01/199.75 ! [V_k2_2,V_k1_2] : % 199.01/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 199.01/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_rel__simps_I15_J,axiom, % 199.01/199.75 ! [V_l_2,V_k_2] : % 199.01/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 199.01/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_diff__number__of__eq,axiom, % 199.01/199.75 ! [V_w,V_v,T_a] : % 199.01/199.75 ( class_Int_Onumber__ring(T_a) % 199.01/199.75 => 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))) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_mult__Bit1,axiom, % 199.01/199.75 ! [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) ). % 199.01/199.75 % 199.01/199.75 fof(fact_int__zle__neg,axiom, % 199.01/199.75 ! [V_m_2,V_n_2] : % 199.01/199.75 ( 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)))) % 199.01/199.75 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.75 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_negative__zle__0,axiom, % 199.01/199.75 ! [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))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_nat__zminus__int,axiom, % 199.01/199.75 ! [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) ). % 199.01/199.75 % 199.01/199.75 fof(fact_zero__le__zpower__abs,axiom, % 199.01/199.75 ! [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))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_minus__numeral__code_I6_J,axiom, % 199.01/199.75 ! [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))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_zabs__def,axiom, % 199.01/199.75 ! [V_i] : % 199.01/199.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.01/199.75 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) ) % 199.01/199.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.01/199.75 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_neg__zminus__int,axiom, % 199.01/199.75 ! [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))))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_diff__bin__simps_I8_J,axiom, % 199.01/199.75 ! [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)) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power2__diff,axiom, % 199.01/199.75 ! [V_y,V_x,T_a] : % 199.01/199.75 ( class_Int_Onumber__ring(T_a) % 199.01/199.75 => 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)) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_odd__0__le__power__imp__0__le,axiom, % 199.01/199.75 ! [V_n,V_a,T_a] : % 199.01/199.75 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.75 => ( 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))))) % 199.01/199.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_odd__power__less__zero,axiom, % 199.01/199.75 ! [V_n,V_a,T_a] : % 199.01/199.75 ( class_Rings_Olinordered__idom(T_a) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.01/199.75 => 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))) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_add__Bit1__Bit1,axiom, % 199.01/199.75 ! [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))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_double__number__of__Bit0,axiom, % 199.01/199.75 ! [V_w,T_a] : % 199.01/199.75 ( class_Int_Onumber__ring(T_a) % 199.01/199.75 => 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)) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_abs__number__of,axiom, % 199.01/199.75 ! [V_x,T_a] : % 199.01/199.75 ( ( class_Int_Onumber__ring(T_a) % 199.01/199.75 & class_Rings_Olinordered__idom(T_a) ) % 199.01/199.75 => ( ( 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))) % 199.01/199.75 => 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)) ) % 199.01/199.75 & ( ~ 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))) % 199.01/199.75 => 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) ) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power3__eq__cube,axiom, % 199.01/199.75 ! [V_a,T_a] : % 199.01/199.75 ( class_Groups_Omonoid__mult(T_a) % 199.01/199.75 => 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) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_add__number__of__diff2,axiom, % 199.01/199.75 ! [V_w,V_c,V_v,T_a] : % 199.01/199.75 ( class_Int_Onumber__ring(T_a) % 199.01/199.75 => 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) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_number__of1,axiom, % 199.01/199.75 ! [V_n] : % 199.01/199.75 ( 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))) % 199.01/199.75 => ( 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)))) % 199.01/199.75 & 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)))) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_number__of__pred,axiom, % 199.01/199.75 ! [V_w,T_a] : % 199.01/199.75 ( class_Int_Onumber__ring(T_a) % 199.01/199.75 => 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)) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_not__zle__0__negative,axiom, % 199.01/199.75 ! [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))))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_negative__zless__0,axiom, % 199.01/199.75 ! [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))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power__eq__if,axiom, % 199.01/199.75 ! [V_p,V_m] : % 199.01/199.75 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.75 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 199.01/199.75 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.75 => 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)))) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_zero__less__zpower__abs__iff,axiom, % 199.01/199.75 ! [V_n_2,V_x_2] : % 199.01/199.75 ( 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))) % 199.01/199.75 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.01/199.75 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_mult__2__right,axiom, % 199.01/199.75 ! [V_z,T_a] : % 199.01/199.75 ( class_Int_Onumber__ring(T_a) % 199.01/199.75 => 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) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_mult__2,axiom, % 199.01/199.75 ! [V_z,T_a] : % 199.01/199.75 ( class_Int_Onumber__ring(T_a) % 199.01/199.75 => 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) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_one__add__one__is__two,axiom, % 199.01/199.75 ! [T_a] : % 199.01/199.75 ( class_Int_Onumber__ring(T_a) % 199.01/199.75 => 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))) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_numeral__2__eq__2,axiom, % 199.01/199.75 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))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_semiring__norm_I115_J,axiom, % 199.01/199.75 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))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 199.01/199.75 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))))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_add__2__eq__Suc,axiom, % 199.01/199.75 ! [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)) ). % 199.01/199.75 % 199.01/199.75 fof(fact_add__2__eq__Suc_H,axiom, % 199.01/199.75 ! [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)) ). % 199.01/199.75 % 199.01/199.75 fof(fact_nat__mult__2,axiom, % 199.01/199.75 ! [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) ). % 199.01/199.75 % 199.01/199.75 fof(fact_nat__mult__2__right,axiom, % 199.01/199.75 ! [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) ). % 199.01/199.75 % 199.01/199.75 fof(fact_transfer__int__nat__numerals_I3_J,axiom, % 199.01/199.75 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)))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_transfer__nat__int__numerals_I3_J,axiom, % 199.01/199.75 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)))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_nat__1__add__1,axiom, % 199.01/199.75 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))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_nat__mult__distrib__neg,axiom, % 199.01/199.75 ! [V_z_H,V_z] : % 199.01/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.01/199.75 => 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))) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_less__2__cases,axiom, % 199.01/199.75 ! [V_n] : % 199.01/199.75 ( 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))))) % 199.01/199.75 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.01/199.75 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_nat__2,axiom, % 199.01/199.75 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))) ). % 199.01/199.75 % 199.01/199.75 fof(fact_diff__special_I1_J,axiom, % 199.01/199.75 ! [V_w,T_a] : % 199.01/199.75 ( class_Int_Onumber__ring(T_a) % 199.01/199.75 => 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))) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_diff__special_I2_J,axiom, % 199.01/199.75 ! [V_v,T_a] : % 199.01/199.75 ( class_Int_Onumber__ring(T_a) % 199.01/199.75 => 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)))) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power__number__of__odd,axiom, % 199.01/199.75 ! [V_z_2,V_w_2,T_b] : % 199.01/199.75 ( class_Int_Onumber__ring(T_b) % 199.01/199.75 => ( ( 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))) % 199.01/199.75 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2))),c_COMBI(T_b))) ) % 199.01/199.75 & ( ~ 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))) % 199.01/199.75 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_zpower__number__of__odd,axiom, % 199.01/199.75 ! [V_z_2,V_w_2] : % 199.01/199.75 ( ( 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))) % 199.01/199.75 => 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))) ) % 199.01/199.75 & ( ~ 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))) % 199.01/199.75 => 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) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power__strict__mono,axiom, % 199.01/199.75 ! [V_n,V_b,V_a,T_a] : % 199.01/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.01/199.75 => 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))) ) ) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_one__less__power,axiom, % 199.01/199.75 ! [V_n,V_a,T_a] : % 199.01/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.01/199.75 => 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))) ) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power__increasing__iff,axiom, % 199.01/199.75 ! [V_y_2,V_x_2,V_ba_2,T_b] : % 199.01/199.75 ( class_Rings_Olinordered__semidom(T_b) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_ba_2)) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ba_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ba_2),V_y_2))) % 199.01/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power__le__imp__le__exp,axiom, % 199.01/199.75 ! [V_n,V_m,V_a,T_a] : % 199.01/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.01/199.75 => ( 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))) % 199.01/199.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power__decreasing,axiom, % 199.01/199.75 ! [V_a,V_N,V_n,T_a] : % 199.01/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 199.01/199.75 => 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))) ) ) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power__strict__decreasing,axiom, % 199.01/199.75 ! [V_a,V_N,V_n,T_a] : % 199.01/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 199.01/199.75 => 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))) ) ) ) ) ). % 199.01/199.75 % 199.01/199.75 fof(fact_power__Suc__less__one,axiom, % 199.01/199.75 ! [V_n,V_a,T_a] : % 199.01/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.01/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 199.27/199.75 => 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))) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_ComplI,axiom, % 199.27/199.75 ! [V_A_2,V_ca_2,T_b] : % 199.27/199.75 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.27/199.75 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Compl__iff,axiom, % 199.27/199.75 ! [V_A_2,V_ca_2,T_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 199.27/199.75 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_ComplD,axiom, % 199.27/199.75 ! [V_A_2,V_ca_2,T_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 199.27/199.75 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_ComplE,axiom, % 199.27/199.75 ! [V_A_2,V_ca_2,T_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 199.27/199.75 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Compl__subset__Compl__iff,axiom, % 199.27/199.75 ! [V_B_2,V_A_2,T_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Compl__anti__mono,axiom, % 199.27/199.75 ! [V_B_2,V_A_2,T_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.27/199.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Collect__neg__eq,axiom, % 199.27/199.75 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_subset__Compl__self__eq,axiom, % 199.27/199.75 ! [V_A_2,T_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 199.27/199.75 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Compl__eq,axiom, % 199.27/199.75 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))) ). % 199.27/199.75 % 199.27/199.75 fof(fact_field__power__not__zero,axiom, % 199.27/199.75 ! [V_n,V_a,T_a] : % 199.27/199.75 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 199.27/199.75 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.75 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__Suc__0,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 199.27/199.75 ! [V_m_2,V_x_2] : % 199.27/199.75 ( 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)) % 199.27/199.75 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.27/199.75 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_nat__zero__less__power__iff,axiom, % 199.27/199.75 ! [V_n_2,V_x_2] : % 199.27/199.75 ( 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))) % 199.27/199.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2)) % 199.27/199.75 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_nat__power__less__imp__less,axiom, % 199.27/199.75 ! [V_n,V_m,V_i] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)) % 199.27/199.75 => ( 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))) % 199.27/199.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__mult__distrib,axiom, % 199.27/199.75 ! [V_n,V_b,V_a,T_a] : % 199.27/199.75 ( class_Groups_Ocomm__monoid__mult(T_a) % 199.27/199.75 => 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)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__commutes,axiom, % 199.27/199.75 ! [V_n,V_a,T_a] : % 199.27/199.75 ( class_Groups_Omonoid__mult(T_a) % 199.27/199.75 => 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)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__one,axiom, % 199.27/199.75 ! [V_n,T_a] : % 199.27/199.75 ( class_Groups_Omonoid__mult(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_of__nat__power,axiom, % 199.27/199.75 ! [V_n,V_m,T_a] : % 199.27/199.75 ( class_Rings_Osemiring__1(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__mult,axiom, % 199.27/199.75 ! [V_n,V_m,V_a,T_a] : % 199.27/199.75 ( class_Groups_Omonoid__mult(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__abs,axiom, % 199.27/199.75 ! [V_n,V_a,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__idom(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__one__right,axiom, % 199.27/199.75 ! [V_a,T_a] : % 199.27/199.75 ( class_Groups_Omonoid__mult(T_a) % 199.27/199.75 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__mono,axiom, % 199.27/199.75 ! [V_n,V_b,V_a,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.27/199.75 => 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))) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zero__le__power,axiom, % 199.27/199.75 ! [V_n,V_a,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.27/199.75 => 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))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zero__less__power,axiom, % 199.27/199.75 ! [V_n,V_a,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.27/199.75 => 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))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__eq__0__iff,axiom, % 199.27/199.75 ! [V_n_2,V_a_2,T_b] : % 199.27/199.75 ( ( class_Power_Opower(T_b) % 199.27/199.75 & class_Rings_Omult__zero(T_b) % 199.27/199.75 & class_Rings_Ono__zero__divisors(T_b) % 199.27/199.75 & class_Rings_Ozero__neq__one(T_b) ) % 199.27/199.75 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.75 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.75 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_one__le__power,axiom, % 199.27/199.75 ! [V_n,V_a,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.27/199.75 => 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))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__0__Suc,axiom, % 199.27/199.75 ! [V_n,T_a] : % 199.27/199.75 ( ( class_Power_Opower(T_a) % 199.27/199.75 & class_Rings_Osemiring__0(T_a) ) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__inject__exp,axiom, % 199.27/199.75 ! [V_n_2,V_m_2,V_a_2,T_b] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_b) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)) % 199.27/199.75 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) % 199.27/199.75 <=> V_m_2 = V_n_2 ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__Suc2,axiom, % 199.27/199.75 ! [V_n,V_a,T_a] : % 199.27/199.75 ( class_Groups_Omonoid__mult(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__Suc,axiom, % 199.27/199.75 ! [V_n,V_a,T_a] : % 199.27/199.75 ( class_Power_Opower(T_a) % 199.27/199.75 => 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)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_nat__one__le__power,axiom, % 199.27/199.75 ! [V_n,V_i] : % 199.27/199.75 ( 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)) % 199.27/199.75 => 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))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__0,axiom, % 199.27/199.75 ! [V_a,T_a] : % 199.27/199.75 ( class_Power_Opower(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__add,axiom, % 199.27/199.75 ! [V_n,V_m,V_a,T_a] : % 199.27/199.75 ( class_Groups_Omonoid__mult(T_a) % 199.27/199.75 => 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)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_abs__power__minus,axiom, % 199.27/199.75 ! [V_n,V_a,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__idom(T_a) % 199.27/199.75 => 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)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__less__imp__less__base,axiom, % 199.27/199.75 ! [V_b,V_n,V_a,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.27/199.75 => ( 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))) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.27/199.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__inject__base,axiom, % 199.27/199.75 ! [V_b,V_n,V_a,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.27/199.75 => ( 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)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.27/199.75 => V_a = V_b ) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__le__imp__le__base,axiom, % 199.27/199.75 ! [V_b,V_n,V_a,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.27/199.75 => ( 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)))) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.27/199.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__gt1__lemma,axiom, % 199.27/199.75 ! [V_n,V_a,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.27/199.75 => 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)))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__less__power__Suc,axiom, % 199.27/199.75 ! [V_n,V_a,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.27/199.75 => 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)))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__0__left,axiom, % 199.27/199.75 ! [V_n,T_a] : % 199.27/199.75 ( ( class_Power_Opower(T_a) % 199.27/199.75 & class_Rings_Osemiring__0(T_a) ) % 199.27/199.75 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.27/199.75 => 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) ) % 199.27/199.75 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.27/199.75 => 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) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__gt1,axiom, % 199.27/199.75 ! [V_n,V_a,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.27/199.75 => 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)))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__strict__increasing,axiom, % 199.27/199.75 ! [V_a,V_N,V_n,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.27/199.75 => 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))) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__less__imp__less__exp,axiom, % 199.27/199.75 ! [V_n,V_m,V_a,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.27/199.75 => ( 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))) % 199.27/199.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__strict__increasing__iff,axiom, % 199.27/199.75 ! [V_y_2,V_x_2,V_ba_2,T_b] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_b) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_ba_2)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ba_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ba_2),V_y_2))) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zero__le__power__abs,axiom, % 199.27/199.75 ! [V_n,V_a,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__idom(T_a) % 199.27/199.75 => 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))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__increasing,axiom, % 199.27/199.75 ! [V_a,V_N,V_n,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 199.27/199.75 => 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))) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__minus,axiom, % 199.27/199.75 ! [V_n,V_a,T_a] : % 199.27/199.75 ( class_Rings_Oring__1(T_a) % 199.27/199.75 => 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)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__Suc__less,axiom, % 199.27/199.75 ! [V_n,V_a,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 199.27/199.75 => 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))) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__eq__imp__eq__base,axiom, % 199.27/199.75 ! [V_b,V_n,V_a,T_a] : % 199.27/199.75 ( class_Rings_Olinordered__semidom(T_a) % 199.27/199.75 => ( 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) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.27/199.75 => V_a = V_b ) ) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_eq__special_I4_J,axiom, % 199.27/199.75 ! [V_x_2,T_b] : % 199.27/199.75 ( class_Int_Onumber__ring(T_b) % 199.27/199.75 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 199.27/199.75 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_eq__special_I2_J,axiom, % 199.27/199.75 ! [V_y_2,T_b] : % 199.27/199.75 ( class_Int_Onumber__ring(T_b) % 199.27/199.75 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 199.27/199.75 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__number__of__Bit1,axiom, % 199.27/199.75 ! [V_v,V_w] : % 199.27/199.75 ( ( 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))) % 199.27/199.75 => 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)) ) % 199.27/199.75 & ( ~ 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))) % 199.27/199.75 => 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_neg__zmod__mult__2,axiom, % 199.27/199.75 ! [V_b,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => 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)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_pos__zmod__mult__2,axiom, % 199.27/199.75 ! [V_b,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.27/199.75 => 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))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_neg__zdiv__mult__2,axiom, % 199.27/199.75 ! [V_b,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Compl__eq__Compl__iff,axiom, % 199.27/199.75 ! [V_B_2,V_A_2,T_b] : % 199.27/199.75 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2) % 199.27/199.75 <=> V_A_2 = V_B_2 ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_double__complement,axiom, % 199.27/199.75 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = V_A_2 ). % 199.27/199.75 % 199.27/199.75 fof(fact_semiring__div__class_Omod__div__equality_H,axiom, % 199.27/199.75 ! [V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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 ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__div__equality2,axiom, % 199.27/199.75 ! [V_a,V_b,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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 ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__div__equality,axiom, % 199.27/199.75 ! [V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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 ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__mod__equality2,axiom, % 199.27/199.75 ! [V_c,V_a,V_b,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__mod__equality,axiom, % 199.27/199.75 ! [V_c,V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__zmod__equality2,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__zmod__equality,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__zmult1__eq,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__zdiv__equality,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__zdiv__equality_H,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmult__div__cancel,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__zadd1__eq,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_DIVISION__BY__ZERO,axiom, % 199.27/199.75 ! [V_a] : % 199.27/199.75 ( 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) % 199.27/199.75 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__div__trivial,axiom, % 199.27/199.75 ! [V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__zdiv__trivial,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__mod__trivial,axiom, % 199.27/199.75 ! [V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__self,axiom, % 199.27/199.75 ! [V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__by__0,axiom, % 199.27/199.75 ! [V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__0,axiom, % 199.27/199.75 ! [V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__add__cong,axiom, % 199.27/199.75 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 199.27/199.75 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 199.27/199.75 => 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) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__simps_I1_J,axiom, % 199.27/199.75 ! [V_b,V_c,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__simps_I2_J,axiom, % 199.27/199.75 ! [V_c,V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__add__eq,axiom, % 199.27/199.75 ! [V_c,V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__add__left__eq,axiom, % 199.27/199.75 ! [V_c,V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__add__right__eq,axiom, % 199.27/199.75 ! [V_c,V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__add__self1,axiom, % 199.27/199.75 ! [V_a,V_b,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__add__self2,axiom, % 199.27/199.75 ! [V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__mult__cong,axiom, % 199.27/199.75 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 199.27/199.75 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 199.27/199.75 => 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) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__simps_I4_J,axiom, % 199.27/199.75 ! [V_b,V_c,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__mult__mult2,axiom, % 199.27/199.75 ! [V_b,V_c,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__mult__mult1,axiom, % 199.27/199.75 ! [V_b,V_a,V_c,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__mult__eq,axiom, % 199.27/199.75 ! [V_c,V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__mult__left__eq,axiom, % 199.27/199.75 ! [V_c,V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__mult__right__eq,axiom, % 199.27/199.75 ! [V_c,V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__diff__right__eq,axiom, % 199.27/199.75 ! [V_c,V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Oring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__diff__left__eq,axiom, % 199.27/199.75 ! [V_c,V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Oring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__diff__eq,axiom, % 199.27/199.75 ! [V_c,V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Oring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__diff__cong,axiom, % 199.27/199.75 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 199.27/199.75 ( class_Divides_Oring__div(T_a) % 199.27/199.75 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 199.27/199.75 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 199.27/199.75 => 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) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__minus__cong,axiom, % 199.27/199.75 ! [V_a_H,V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Oring__div(T_a) % 199.27/199.75 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b) % 199.27/199.75 => 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) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__minus__eq,axiom, % 199.27/199.75 ! [V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Oring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__zero,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__self,axiom, % 199.27/199.75 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__zero,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__zminus__zminus,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__zminus2,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__simps_I3_J,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__zmult1__eq,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiff__zmod__left,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiff__zmod__right,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zminus__zmod,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__zminus__zminus,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__zminus2,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__by__0,axiom, % 199.27/199.75 ! [V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__0,axiom, % 199.27/199.75 ! [V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__by__1,axiom, % 199.27/199.75 ! [V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zpower__zmod,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__mult__self2__is__0,axiom, % 199.27/199.75 ! [V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__mult__self1__is__0,axiom, % 199.27/199.75 ! [V_a,V_b,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__zmult2__eq,axiom, % 199.27/199.75 ! [V_b,V_a,V_c] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 199.27/199.75 => 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)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__mult__self1,axiom, % 199.27/199.75 ! [V_b,V_c,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__mult__self2,axiom, % 199.27/199.75 ! [V_c,V_b,V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__by__1,axiom, % 199.27/199.75 ! [V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__zminus2__eq__if,axiom, % 199.27/199.75 ! [V_a,V_b] : % 199.27/199.75 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 => 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)) ) % 199.27/199.75 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 => 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)) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__zminus1__eq__if,axiom, % 199.27/199.75 ! [V_a,V_b] : % 199.27/199.75 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 => 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)) ) % 199.27/199.75 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 => 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)) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_iszero__0,axiom, % 199.27/199.75 ! [T_a] : % 199.27/199.75 ( class_Rings_Osemiring__1(T_a) % 199.27/199.75 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_iszero__def,axiom, % 199.27/199.75 ! [V_z_2,T_b] : % 199.27/199.75 ( class_Rings_Osemiring__1(T_b) % 199.27/199.75 => ( c_Int_Oiszero(T_b,V_z_2) % 199.27/199.75 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom, % 199.27/199.75 ! [V_y,V_x] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.27/199.75 => 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))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_not__iszero__1,axiom, % 199.27/199.75 ! [T_a] : % 199.27/199.75 ( class_Rings_Osemiring__1(T_a) % 199.27/199.75 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__neg__pos__less0,axiom, % 199.27/199.75 ! [V_b,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.75 => 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))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_neg__imp__zdiv__neg__iff,axiom, % 199.27/199.75 ! [V_a_2,V_ba_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => ( 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_ba_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_pos__imp__zdiv__neg__iff,axiom, % 199.27/199.75 ! [V_a_2,V_ba_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_ba_2)) % 199.27/199.75 => ( 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_ba_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__self,axiom, % 199.27/199.75 ! [V_a] : % 199.27/199.75 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__le__nonneg__dividend,axiom, % 199.27/199.75 ! [V_k,V_m] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 199.27/199.75 => 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)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom, % 199.27/199.75 ! [V_y,V_x] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.27/199.75 => 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))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_neg__mod__bound,axiom, % 199.27/199.75 ! [V_a,V_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => 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))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_pos__mod__bound,axiom, % 199.27/199.75 ! [V_a,V_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.75 => 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)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__number__of__Bit0,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__eq__0__iff,axiom, % 199.27/199.75 ! [V_d_2,V_m_2] : % 199.27/199.75 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__zminus2__not__zero,axiom, % 199.27/199.75 ! [V_l,V_k] : % 199.27/199.75 ( 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) % 199.27/199.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__zminus1__not__zero,axiom, % 199.27/199.75 ! [V_l,V_k] : % 199.27/199.75 ( 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) % 199.27/199.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__mult__mult1__if,axiom, % 199.27/199.75 ! [V_b,V_a,V_c,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.75 => 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) ) % 199.27/199.75 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.75 => 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) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__mult__self2__is__id,axiom, % 199.27/199.75 ! [V_a,V_b,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.75 => 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 ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__mult__self1__is__id,axiom, % 199.27/199.75 ! [V_a,V_b,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.75 => 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 ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__mult__mult2,axiom, % 199.27/199.75 ! [V_b,V_a,V_c,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.75 => 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) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__mult__mult1,axiom, % 199.27/199.75 ! [V_b,V_a,V_c,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.75 => 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) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__self,axiom, % 199.27/199.75 ! [V_a,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_split__pos__lemma,axiom, % 199.27/199.75 ! [V_n_2,V_Pa_2,V_k_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(V_Pa_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))) % 199.27/199.75 <=> ! [B_i,B_j] : % 199.27/199.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 199.27/199.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 199.27/199.75 & 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) ) % 199.27/199.75 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_split__neg__lemma,axiom, % 199.27/199.75 ! [V_n_2,V_Pa_2,V_k_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(V_Pa_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))) % 199.27/199.75 <=> ! [B_i,B_j] : % 199.27/199.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 199.27/199.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 & 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) ) % 199.27/199.75 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__mono1__neg,axiom, % 199.27/199.75 ! [V_b,V_a_H,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => 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))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__mono1,axiom, % 199.27/199.75 ! [V_b,V_a_H,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.75 => 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))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__neg__neg__trivial,axiom, % 199.27/199.75 ! [V_b,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 199.27/199.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__mono2__neg,axiom, % 199.27/199.75 ! [V_b,V_b_H,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 199.27/199.75 => 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))) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__nonpos__pos__le0,axiom, % 199.27/199.75 ! [V_b,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.75 => 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))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_neg__imp__zdiv__nonneg__iff,axiom, % 199.27/199.75 ! [V_a_2,V_ba_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => ( 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_ba_2))) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__pos__pos__trivial,axiom, % 199.27/199.75 ! [V_b,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 199.27/199.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__nonneg__neg__le0,axiom, % 199.27/199.75 ! [V_b,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => 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))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__mono2,axiom, % 199.27/199.75 ! [V_b,V_b_H,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 199.27/199.75 => 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))) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom, % 199.27/199.75 ! [V_ba_2,V_a_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) % 199.27/199.75 => ( 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_ba_2))) % 199.27/199.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ba_2),V_a_2)) % 199.27/199.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_ba_2)) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_pos__imp__zdiv__pos__iff,axiom, % 199.27/199.75 ! [V_i_2,V_k_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 199.27/199.75 => ( 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))) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_pos__imp__zdiv__nonneg__iff,axiom, % 199.27/199.75 ! [V_a_2,V_ba_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_ba_2)) % 199.27/199.75 => ( 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_ba_2))) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__eq__0__iff,axiom, % 199.27/199.75 ! [V_k_2,V_i_2] : % 199.27/199.75 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2)) % 199.27/199.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) ) % 199.27/199.75 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_int__div__less__self,axiom, % 199.27/199.75 ! [V_k,V_x] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)) % 199.27/199.75 => 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__zmult2__eq,axiom, % 199.27/199.75 ! [V_b,V_a,V_c] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__neg__neg__trivial,axiom, % 199.27/199.75 ! [V_b,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 199.27/199.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_neg__mod__conj,axiom, % 199.27/199.75 ! [V_a,V_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => ( 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))) % 199.27/199.75 & 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))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_neg__mod__sign,axiom, % 199.27/199.75 ! [V_a,V_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => 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))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__pos__pos__trivial,axiom, % 199.27/199.75 ! [V_b,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 199.27/199.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_pos__mod__conj,axiom, % 199.27/199.75 ! [V_a,V_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.75 => ( 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))) % 199.27/199.75 & 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_pos__mod__sign,axiom, % 199.27/199.75 ! [V_a,V_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.75 => 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))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__zminus2__eq__if,axiom, % 199.27/199.75 ! [V_b,V_a] : % 199.27/199.75 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 => 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) ) % 199.27/199.75 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 => 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) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__zminus1__eq__if,axiom, % 199.27/199.75 ! [V_b,V_a] : % 199.27/199.75 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 => 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) ) % 199.27/199.75 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 => 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__mult__self1,axiom, % 199.27/199.75 ! [V_c,V_a,V_b,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.75 => 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__mult__self2,axiom, % 199.27/199.75 ! [V_c,V_a,V_b,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.75 => 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__add__self1,axiom, % 199.27/199.75 ! [V_a,V_b,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.75 => 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__add__self2,axiom, % 199.27/199.75 ! [V_a,V_b,T_a] : % 199.27/199.75 ( class_Divides_Osemiring__div(T_a) % 199.27/199.75 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.75 => 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_iszero__Numeral0,axiom, % 199.27/199.75 ! [T_a] : % 199.27/199.75 ( class_Int_Onumber__ring(T_a) % 199.27/199.75 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_iszero__number__of__Bit1,axiom, % 199.27/199.75 ! [V_w,T_a] : % 199.27/199.75 ( ( class_Int_Onumber__ring(T_a) % 199.27/199.75 & class_Int_Oring__char__0(T_a) ) % 199.27/199.75 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_iszero__number__of__Bit0,axiom, % 199.27/199.75 ! [V_w_2,T_b] : % 199.27/199.75 ( ( class_Int_Onumber__ring(T_b) % 199.27/199.75 & class_Int_Oring__char__0(T_b) ) % 199.27/199.75 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2))) % 199.27/199.75 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__pos__neg__trivial,axiom, % 199.27/199.75 ! [V_b,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.27/199.75 => ( 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))) % 199.27/199.75 => 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) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_split__zdiv,axiom, % 199.27/199.75 ! [V_k_2,V_n_2,V_Pa_2] : % 199.27/199.75 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2))) % 199.27/199.75 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.27/199.75 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 199.27/199.75 => ! [B_i] : % 199.27/199.75 ( ? [B_j] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 199.27/199.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 199.27/199.75 & 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) ) % 199.27/199.75 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) % 199.27/199.75 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => ! [B_i] : % 199.27/199.75 ( ? [B_j] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 199.27/199.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 & 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) ) % 199.27/199.75 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_divmod__int__rel__div__eq,axiom, % 199.27/199.75 ! [V_r_1,V_y,V_b_1,V_a_1] : % 199.27/199.75 ( 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) % 199.27/199.75 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1)) % 199.27/199.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) ) % 199.27/199.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1)) % 199.27/199.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 199.27/199.75 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_split__zmod,axiom, % 199.27/199.75 ! [V_k_2,V_n_2,V_Pa_2] : % 199.27/199.75 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 199.27/199.75 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 => hBOOL(hAPP(V_Pa_2,V_n_2)) ) % 199.27/199.75 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 199.27/199.75 => ! [B_i,B_j] : % 199.27/199.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 199.27/199.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 199.27/199.75 & 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) ) % 199.27/199.75 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) % 199.27/199.75 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => ! [B_i,B_j] : % 199.27/199.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 199.27/199.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 & 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) ) % 199.27/199.75 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmult2__lemma__aux3,axiom, % 199.27/199.75 ! [V_q,V_b,V_r,V_c] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 199.27/199.75 => 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))) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmult2__lemma__aux4,axiom, % 199.27/199.75 ! [V_q,V_b,V_r,V_c] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 199.27/199.75 => 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))) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmult2__lemma__aux1,axiom, % 199.27/199.75 ! [V_q,V_r,V_b,V_c] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => 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))) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmult2__lemma__aux2,axiom, % 199.27/199.75 ! [V_q,V_r,V_b,V_c] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.75 => 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))) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_divmod__int__rel__mod__eq,axiom, % 199.27/199.75 ! [V_y,V_q_1,V_b_1,V_a_1] : % 199.27/199.75 ( 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) % 199.27/199.75 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.27/199.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) ) % 199.27/199.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y)) % 199.27/199.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 199.27/199.75 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__number__of__Bit0,axiom, % 199.27/199.75 ! [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))) ). % 199.27/199.75 % 199.27/199.75 fof(fact_not__iszero__Numeral1,axiom, % 199.27/199.75 ! [T_a] : % 199.27/199.75 ( class_Int_Onumber__ring(T_a) % 199.27/199.75 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_eq__number__of__eq,axiom, % 199.27/199.75 ! [V_y_2,V_x_2,T_b] : % 199.27/199.75 ( class_Int_Onumber__ring(T_b) % 199.27/199.75 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 199.27/199.75 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__number__of__Bit1,axiom, % 199.27/199.75 ! [V_v,V_w] : % 199.27/199.75 ( ( 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))) % 199.27/199.75 => 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)) ) % 199.27/199.75 & ( ~ 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))) % 199.27/199.75 => 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_int__power__div__base,axiom, % 199.27/199.75 ! [V_k,V_m] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 199.27/199.75 => 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)))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_eq__special_I3_J,axiom, % 199.27/199.75 ! [V_x_2,T_b] : % 199.27/199.75 ( class_Int_Onumber__ring(T_b) % 199.27/199.75 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.75 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls)))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_eq__special_I1_J,axiom, % 199.27/199.75 ! [V_y_2,T_b] : % 199.27/199.75 ( class_Int_Onumber__ring(T_b) % 199.27/199.75 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 199.27/199.75 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_pos__zdiv__mult__2,axiom, % 199.27/199.75 ! [V_b,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_z3div__def,axiom, % 199.27/199.75 ! [V_k,V_l] : % 199.27/199.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 199.27/199.75 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) ) % 199.27/199.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 199.27/199.75 => 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))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_z3mod__def,axiom, % 199.27/199.75 ! [V_k,V_l] : % 199.27/199.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 199.27/199.75 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) ) % 199.27/199.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 199.27/199.75 => 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_card__Pow,axiom, % 199.27/199.75 ! [V_A_2,T_b] : % 199.27/199.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.75 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__power__power,axiom, % 199.27/199.75 ! [T_b] : % 199.27/199.75 ( class_Power_Opower(T_b) % 199.27/199.75 => c_Power_Opower__class_Opower(T_b) = c_Power_Opower_Opower(T_b,c_Groups_Oone__class_Oone(T_b),c_Groups_Otimes__class_Otimes(T_b)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__m1__odd,axiom, % 199.27/199.75 ! [V_n,T_a] : % 199.27/199.75 ( class_Int_Onumber__ring(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power__m1__even,axiom, % 199.27/199.75 ! [V_n,T_a] : % 199.27/199.75 ( class_Int_Onumber__ring(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_PowI,axiom, % 199.27/199.75 ! [V_B_2,V_A_2,T_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.27/199.75 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__mult2__eq,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__mult1__eq,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Divides_Omod__div__equality_H,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mult__div__cancel,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__mod__equality_H,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__add1__eq,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Cantors__paradox,axiom, % 199.27/199.75 ! [V_A_2,T_b] : % 199.27/199.75 ~ ? [B_f] : hAPP(c_Set_Oimage(T_b,tc_fun(T_b,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_b),V_A_2) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__le__dividend,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__le__mono,axiom, % 199.27/199.75 ! [V_k,V_n,V_m] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.27/199.75 => 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))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__Suc__eq__Suc__mod,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__mult2__eq,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__less,axiom, % 199.27/199.75 ! [V_n,V_m] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.27/199.75 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__less__eq__dividend,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__mult__distrib2,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__mult__distrib,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I24_J,axiom, % 199.27/199.75 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I7_J,axiom, % 199.27/199.75 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I40_J,axiom, % 199.27/199.75 c_Int_OMin != c_Int_OPls ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I37_J,axiom, % 199.27/199.75 c_Int_OPls != c_Int_OMin ). % 199.27/199.75 % 199.27/199.75 fof(fact_Bit1__Min,axiom, % 199.27/199.75 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I43_J,axiom, % 199.27/199.75 ! [V_l_2] : % 199.27/199.75 ( c_Int_OMin = c_Int_OBit1(V_l_2) % 199.27/199.75 <=> c_Int_OMin = V_l_2 ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I47_J,axiom, % 199.27/199.75 ! [V_k_2] : % 199.27/199.75 ( c_Int_OBit1(V_k_2) = c_Int_OMin % 199.27/199.75 <=> V_k_2 = c_Int_OMin ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I42_J,axiom, % 199.27/199.75 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I45_J,axiom, % 199.27/199.75 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ). % 199.27/199.75 % 199.27/199.75 fof(fact_image__Pow__surj,axiom, % 199.27/199.75 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 199.27/199.75 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2 % 199.27/199.75 => hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2)) = hAPP(c_Set_OPow(T_b),V_B_2) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Pow__top,axiom, % 199.27/199.75 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_A_2))) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Pow__not__empty,axiom, % 199.27/199.75 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__1,axiom, % 199.27/199.75 ! [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 ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__less,axiom, % 199.27/199.75 ! [V_n,V_m] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.27/199.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_nat__mult__div__cancel__disj,axiom, % 199.27/199.75 ! [V_n,V_m,V_k] : % 199.27/199.75 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.27/199.75 => 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) ) % 199.27/199.75 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.27/199.75 => 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) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__1,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__Suc,axiom, % 199.27/199.75 ! [V_n,V_m] : % 199.27/199.75 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n % 199.27/199.75 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.27/199.75 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n % 199.27/199.75 => 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__less__divisor,axiom, % 199.27/199.75 ! [V_m,V_n] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.27/199.75 => 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)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__eq__0__iff,axiom, % 199.27/199.75 ! [V_d_2,V_m_2] : % 199.27/199.75 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.27/199.75 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__if,axiom, % 199.27/199.75 ! [V_n,V_m] : % 199.27/199.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.27/199.75 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) % 199.27/199.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.27/199.75 => 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) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__geq,axiom, % 199.27/199.75 ! [V_n,V_m] : % 199.27/199.75 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__mult__self3,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_le__mod__geq,axiom, % 199.27/199.75 ! [V_m,V_n] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__int,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_bin__less__0__simps_I2_J,axiom, % 199.27/199.75 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I20_J,axiom, % 199.27/199.75 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I23_J,axiom, % 199.27/199.75 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I26_J,axiom, % 199.27/199.75 ! [V_k_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I30_J,axiom, % 199.27/199.75 ! [V_k_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I6_J,axiom, % 199.27/199.75 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I3_J,axiom, % 199.27/199.75 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I13_J,axiom, % 199.27/199.75 ! [V_k_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I9_J,axiom, % 199.27/199.75 ! [V_k_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I28_J,axiom, % 199.27/199.75 ! [V_k_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I8_J,axiom, % 199.27/199.75 ! [V_k_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__int,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_eq__number__of__Pls__Min,axiom, % 199.27/199.75 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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Int_OMin__def,axiom, % 199.27/199.75 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mult__Min,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_neg__number__of__Min,axiom, % 199.27/199.75 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ). % 199.27/199.75 % 199.27/199.75 fof(fact_pred__Pls,axiom, % 199.27/199.75 c_Int_Opred(c_Int_OPls) = c_Int_OMin ). % 199.27/199.75 % 199.27/199.75 fof(fact_add__Min__right,axiom, % 199.27/199.75 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ). % 199.27/199.75 % 199.27/199.75 fof(fact_add__Min,axiom, % 199.27/199.75 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ). % 199.27/199.75 % 199.27/199.75 fof(fact_pred__Min,axiom, % 199.27/199.75 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ). % 199.27/199.75 % 199.27/199.75 fof(fact_nonzero__number__of__Min,axiom, % 199.27/199.75 ! [T_a] : % 199.27/199.75 ( class_Int_Onumber__ring(T_a) % 199.27/199.75 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_succ__Min,axiom, % 199.27/199.75 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ). % 199.27/199.75 % 199.27/199.75 fof(fact_diff__bin__simps_I2_J,axiom, % 199.27/199.75 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Pow__bottom,axiom, % 199.27/199.75 ! [V_B_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Set_OPow(T_b),V_B_2))) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Pow__iff,axiom, % 199.27/199.75 ! [V_B_2,V_A_2,T_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_PowD,axiom, % 199.27/199.75 ! [V_B_2,V_A_2,T_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 199.27/199.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Pow__mono,axiom, % 199.27/199.75 ! [V_B_2,V_A_2,T_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.27/199.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__le__mono2,axiom, % 199.27/199.75 ! [V_k,V_n,V_m] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 199.27/199.75 => 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))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__mult__self1__is__m,axiom, % 199.27/199.75 ! [V_m,V_n] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.27/199.75 => 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 ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__mult__self__is__m,axiom, % 199.27/199.75 ! [V_m,V_n] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.27/199.75 => 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 ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_nat__mult__div__cancel1,axiom, % 199.27/199.75 ! [V_n,V_m,V_k] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__less__dividend,axiom, % 199.27/199.75 ! [V_m,V_n] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 199.27/199.75 => 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__le__divisor,axiom, % 199.27/199.75 ! [V_m,V_n] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.27/199.75 => 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)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Pow__def,axiom, % 199.27/199.75 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__mult__self4,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_finite__Pow__iff,axiom, % 199.27/199.75 ! [V_A_2,T_b] : % 199.27/199.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2))) % 199.27/199.75 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mult__minus1__right,axiom, % 199.27/199.75 ! [V_z,T_a] : % 199.27/199.75 ( class_Int_Onumber__ring(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mult__minus1,axiom, % 199.27/199.75 ! [V_z,T_a] : % 199.27/199.75 ( class_Int_Onumber__ring(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_arith__simps_I31_J,axiom, % 199.27/199.75 ! [T_a] : % 199.27/199.75 ( class_Int_Onumber__ring(T_a) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_number__of__Min,axiom, % 199.27/199.75 ! [T_a] : % 199.27/199.75 ( class_Int_Onumber__ring(T_a) % 199.27/199.75 => 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)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_abs__minus__one,axiom, % 199.27/199.75 ! [T_a] : % 199.27/199.75 ( ( class_Int_Onumber__ring(T_a) % 199.27/199.75 & class_Rings_Olinordered__idom(T_a) ) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I25_J,axiom, % 199.27/199.75 ! [V_k_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_rel__simps_I11_J,axiom, % 199.27/199.75 ! [V_k_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__minus1__right,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_diff__bin__simps_I4_J,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_minus__Min,axiom, % 199.27/199.75 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ). % 199.27/199.75 % 199.27/199.75 fof(fact_pos__zmult__eq__1__iff__lemma,axiom, % 199.27/199.75 ! [V_n,V_m] : % 199.27/199.75 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 199.27/199.75 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint) % 199.27/199.75 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmult__eq__1__iff,axiom, % 199.27/199.75 ! [V_n_2,V_m_2] : % 199.27/199.75 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 199.27/199.75 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 199.27/199.75 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 199.27/199.75 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) % 199.27/199.75 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_diff__bin__simps_I6_J,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_diff__bin__simps_I5_J,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_power_Opower_Opower__0,axiom, % 199.27/199.75 ! [V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ). % 199.27/199.75 % 199.27/199.75 fof(fact_power_Opower_Opower__Suc,axiom, % 199.27/199.75 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),V_n_2)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zdiv__minus1__right,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__if,axiom, % 199.27/199.75 ! [V_m,V_n] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.27/199.75 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.27/199.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.27/199.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.27/199.75 => 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)) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__geq,axiom, % 199.27/199.75 ! [V_m,V_n] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.27/199.75 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.27/199.75 => 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_split__div,axiom, % 199.27/199.75 ! [V_k_2,V_n_2,V_Pa_2] : % 199.27/199.75 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2))) % 199.27/199.75 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.27/199.75 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 199.27/199.75 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.27/199.75 => ! [B_i,B_j] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 199.27/199.75 => ( 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) % 199.27/199.75 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom, % 199.27/199.75 ! [V_y,V_x] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.27/199.75 => 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_nat__div__distrib,axiom, % 199.27/199.75 ! [V_y,V_x] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.27/199.75 => 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)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__lemma,axiom, % 199.27/199.75 ! [V_q,V_b,V_r,V_c] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b)) % 199.27/199.75 => 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))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_split__mod,axiom, % 199.27/199.75 ! [V_k_2,V_n_2,V_Pa_2] : % 199.27/199.75 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2))) % 199.27/199.75 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.27/199.75 => hBOOL(hAPP(V_Pa_2,V_n_2)) ) % 199.27/199.75 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.27/199.75 => ! [B_i,B_j] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 199.27/199.75 => ( 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) % 199.27/199.75 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Suc__times__mod__eq,axiom, % 199.27/199.75 ! [V_m,V_k] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k)) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom, % 199.27/199.75 ! [V_y,V_x] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.27/199.75 => 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_nat__mod__distrib,axiom, % 199.27/199.75 ! [V_y,V_x] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 199.27/199.75 => 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_image__Pow__mono,axiom, % 199.27/199.75 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2)) % 199.27/199.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2))),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_abs__power__minus__one,axiom, % 199.27/199.75 ! [V_n,T_a] : % 199.27/199.75 ( ( class_Int_Onumber__ring(T_a) % 199.27/199.75 & class_Rings_Olinordered__idom(T_a) ) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__eq__minus1,axiom, % 199.27/199.75 ! [V_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.75 => 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Pow__empty,axiom, % 199.27/199.75 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ). % 199.27/199.75 % 199.27/199.75 fof(fact_le__div__geq,axiom, % 199.27/199.75 ! [V_m,V_n] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.27/199.75 => 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)) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_split__div__lemma,axiom, % 199.27/199.75 ! [V_m_2,V_q_2,V_n_2] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 199.27/199.75 => ( ( 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)) % 199.27/199.75 & 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)))) ) % 199.27/199.75 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_split__div_H,axiom, % 199.27/199.75 ! [V_n_2,V_m_2,V_Pa_2] : % 199.27/199.75 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2))) % 199.27/199.75 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.27/199.75 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 199.27/199.75 | ? [B_q] : % 199.27/199.75 ( 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)) % 199.27/199.75 & 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)))) % 199.27/199.75 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__Suc__eq__div__add3,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Suc__div__eq__add3__div,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Suc__div__eq__add3__div__number__of,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div2__Suc__Suc,axiom, % 199.27/199.75 ! [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))))) ). % 199.27/199.75 % 199.27/199.75 fof(fact_add__self__div__2,axiom, % 199.27/199.75 ! [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 ). % 199.27/199.75 % 199.27/199.75 fof(fact_Powp__Pow__eq,axiom, % 199.27/199.75 ! [V_x_2,V_A_2,T_b] : % 199.27/199.75 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2)) % 199.27/199.75 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Suc__mod__eq__add3__mod,axiom, % 199.27/199.75 ! [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) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__Suc__eq__mod__add3,axiom, % 199.27/199.75 ! [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)) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod2__Suc__Suc,axiom, % 199.27/199.75 ! [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)))) ). % 199.27/199.75 % 199.27/199.75 fof(fact_UN__Pow__subset,axiom, % 199.27/199.75 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__nat__number__of,axiom, % 199.27/199.75 ! [V_v_H,V_v] : % 199.27/199.75 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.27/199.75 => 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) ) % 199.27/199.75 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.27/199.75 => 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))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod__nat__number__of,axiom, % 199.27/199.75 ! [V_v_H,V_v] : % 199.27/199.75 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.27/199.75 => 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) ) % 199.27/199.75 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 199.27/199.75 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 199.27/199.75 => 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) ) % 199.27/199.75 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 199.27/199.75 => 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))) ) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__pos__neg__trivial,axiom, % 199.27/199.75 ! [V_b,V_a] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.27/199.75 => ( 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))) % 199.27/199.75 => 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) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_zmod__minus1,axiom, % 199.27/199.75 ! [V_b] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.75 => 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)) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_div__2__gt__zero,axiom, % 199.27/199.75 ! [V_n] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 199.27/199.75 => 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)))))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_one__div__nat__number__of,axiom, % 199.27/199.75 ! [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))) ). % 199.27/199.75 % 199.27/199.75 fof(fact_mod2__gr__0,axiom, % 199.27/199.75 ! [V_m_2] : % 199.27/199.75 ( 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)))))) % 199.27/199.75 <=> 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) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_Suc__n__div__2__gt__zero,axiom, % 199.27/199.75 ! [V_n] : % 199.27/199.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.27/199.75 => 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)))))) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_one__mod__nat__number__of,axiom, % 199.27/199.75 ! [V_v_H] : % 199.27/199.75 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 199.27/199.75 => 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)) ) % 199.27/199.75 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 199.27/199.75 => 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))) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_int__of__code,axiom, % 199.27/199.75 ! [V_k] : % 199.27/199.75 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.27/199.75 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 199.27/199.75 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.27/199.75 => ( ( 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) % 199.27/199.75 => 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)))))) ) % 199.27/199.75 & ( 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) % 199.27/199.75 => 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)) ) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_transfer__int__nat__set__relations_I4_J,axiom, % 199.27/199.75 ! [V_B_2,V_A_2] : % 199.27/199.75 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.27/199.75 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.27/199.75 <=> 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))) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_transfer__int__nat__set__relations_I5_J,axiom, % 199.27/199.75 ! [V_B_2,V_A_2] : % 199.27/199.75 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.27/199.75 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.27/199.75 <=> 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))) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_min__number__of__Suc,axiom, % 199.27/199.75 ! [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)))) ). % 199.27/199.75 % 199.27/199.75 fof(fact_min__Suc__number__of,axiom, % 199.27/199.75 ! [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)))) ). % 199.27/199.75 % 199.27/199.75 fof(fact_min__le__iff__disj,axiom, % 199.27/199.75 ! [V_z_2,V_y_2,V_x_2,T_b] : % 199.27/199.75 ( class_Orderings_Olinorder(T_b) % 199.27/199.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2)) % 199.27/199.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 199.27/199.75 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_min__max_Ole__infE,axiom, % 199.27/199.75 ! [V_b,V_a,V_x,T_a] : % 199.27/199.75 ( class_Orderings_Olinorder(T_a) % 199.27/199.75 => ( 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))) % 199.27/199.75 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 199.27/199.75 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 199.27/199.75 % 199.27/199.75 fof(fact_min__max_Oinf__mono,axiom, % 199.27/199.75 ! [V_d,V_b,V_c,V_a,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Oinf__greatest,axiom, % 199.27/199.76 ! [V_z,V_y,V_x,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Ole__infI,axiom, % 199.27/199.76 ! [V_b,V_a,V_x,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Oinf__absorb2,axiom, % 199.27/199.76 ! [V_x,V_y,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.27/199.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Oinf__absorb1,axiom, % 199.27/199.76 ! [V_y,V_x,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.27/199.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Ole__infI2,axiom, % 199.27/199.76 ! [V_a,V_x,V_b,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 199.27/199.76 => 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)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Ole__infI1,axiom, % 199.27/199.76 ! [V_b,V_x,V_a,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 199.27/199.76 => 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)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Ole__inf__iff,axiom, % 199.27/199.76 ! [V_z_2,V_y_2,V_x_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_y_2),V_z_2))) % 199.27/199.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.27/199.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Ole__iff__inf,axiom, % 199.27/199.76 ! [V_y_2,V_x_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.27/199.76 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Oinf__le2,axiom, % 199.27/199.76 ! [V_y,V_x,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Oinf__le1,axiom, % 199.27/199.76 ! [V_y,V_x,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__less__iff__conj,axiom, % 199.27/199.76 ! [V_y_2,V_x_2,V_z_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2))) % 199.27/199.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 199.27/199.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__less__iff__disj,axiom, % 199.27/199.76 ! [V_z_2,V_y_2,V_x_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2)) % 199.27/199.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 199.27/199.76 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Oless__infI2,axiom, % 199.27/199.76 ! [V_a,V_x,V_b,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 199.27/199.76 => 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)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Oless__infI1,axiom, % 199.27/199.76 ! [V_b,V_x,V_a,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 199.27/199.76 => 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)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_code__numeral__zero__minus__one,axiom, % 199.27/199.76 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) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Oinf__assoc,axiom, % 199.27/199.76 ! [V_z,V_y,V_x,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Oinf_Oassoc,axiom, % 199.27/199.76 ! [V_c,V_b,V_a,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Oinf__left__commute,axiom, % 199.27/199.76 ! [V_z,V_y,V_x,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Oinf_Oleft__commute,axiom, % 199.27/199.76 ! [V_c,V_a,V_b,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Oinf__left__idem,axiom, % 199.27/199.76 ! [V_y,V_x,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Oinf_Oleft__idem,axiom, % 199.27/199.76 ! [V_b,V_a,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Oinf__commute,axiom, % 199.27/199.76 ! [V_y,V_x,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Oinf_Ocommute,axiom, % 199.27/199.76 ! [V_b,V_a,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Oinf_Oidem,axiom, % 199.27/199.76 ! [V_a,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__add__distrib__left,axiom, % 199.27/199.76 ! [V_z,V_y,V_x,T_a] : % 199.27/199.76 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__diff__distrib__left,axiom, % 199.27/199.76 ! [V_z,V_y,V_x,T_a] : % 199.27/199.76 ( class_Groups_Oordered__ab__group__add(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__0R,axiom, % 199.27/199.76 ! [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) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__0L,axiom, % 199.27/199.76 ! [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) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__Suc__Suc,axiom, % 199.27/199.76 ! [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)) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__diff,axiom, % 199.27/199.76 ! [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) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom, % 199.27/199.76 ! [T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__number__of,axiom, % 199.27/199.76 ! [V_v,V_u,T_b] : % 199.27/199.76 ( ( class_Int_Onumber(T_b) % 199.27/199.76 & class_Orderings_Oord(T_b) ) % 199.27/199.76 => ( ( 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))) % 199.27/199.76 => 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) ) % 199.27/199.76 & ( ~ 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))) % 199.27/199.76 => 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) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom, % 199.27/199.76 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_nat__set__def,axiom, % 199.27/199.76 ! [V_S_2] : % 199.27/199.76 ( c_Nat__Transfer_Onat__set(V_S_2) % 199.27/199.76 <=> ! [B_x] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom, % 199.27/199.76 ! [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)) ). % 199.27/199.76 % 199.27/199.76 fof(fact_transfer__int__nat__set__relations_I3_J,axiom, % 199.27/199.76 ! [V_B_2,V_A_2] : % 199.27/199.76 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.27/199.76 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.27/199.76 => ( V_A_2 = V_B_2 % 199.27/199.76 <=> 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) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_zero__code__numeral__code,axiom, % 199.27/199.76 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) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__Suc2,axiom, % 199.27/199.76 ! [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) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__Suc1,axiom, % 199.27/199.76 ! [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) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom, % 199.27/199.76 ! [V_x_2,V_A_2] : % 199.27/199.76 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom, % 199.27/199.76 ! [V_Pa_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_Pa_2))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_transfer__nat__int__set__return__embed,axiom, % 199.27/199.76 ! [V_A_2] : % 199.27/199.76 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.27/199.76 => 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 ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_transfer__int__nat__set__relations_I1_J,axiom, % 199.27/199.76 ! [V_A_2] : % 199.27/199.76 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2)) % 199.27/199.76 <=> 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))) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom, % 199.27/199.76 ! [V_A_2] : % 199.27/199.76 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_one__code__numeral__code,axiom, % 199.27/199.76 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)) ). % 199.27/199.76 % 199.27/199.76 fof(fact_fold1__antimono,axiom, % 199.27/199.76 ! [V_B_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_strict__below__fold1__iff,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) % 199.27/199.76 <=> ! [B_x] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_fold1__strict__below__iff,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2)) % 199.27/199.76 <=> ? [B_x] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.27/199.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Obelow__fold1__iff,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) % 199.27/199.76 <=> ! [B_x] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_fold1__below__iff,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2)) % 199.27/199.76 <=> ? [B_x] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.27/199.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Min_Oidem,axiom, % 199.27/199.76 ! [V_x,T_a] : % 199.27/199.76 ( class_Orderings_Olinorder(T_a) % 199.27/199.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Ofold__inf__insert,axiom, % 199.27/199.76 ! [V_a_2,V_ba_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_ba_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_ba_2),V_A_2)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Ofold__inf__le__inf,axiom, % 199.27/199.76 ! [V_ba_2,V_a_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_ba_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),V_ba_2))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_Ofold1__belowI,axiom, % 199.27/199.76 ! [V_a_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_a_2)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_semilattice__big_OF__eq,axiom, % 199.27/199.76 ! [V_A_2,V_F_2,V_f_2,T_b] : % 199.27/199.76 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_nat__of__aux__code,axiom, % 199.27/199.76 ! [V_n,V_i] : % 199.27/199.76 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.27/199.76 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n ) % 199.27/199.76 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.27/199.76 => 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)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_dual__max,axiom, % 199.27/199.76 ! [T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => c_Orderings_Oord_Omax(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omin(T_b) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_comm__monoid__big_OF__eq,axiom, % 199.27/199.76 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 199.27/199.76 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 199.27/199.76 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.27/199.76 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.27/199.76 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__ord__min,axiom, % 199.27/199.76 ! [T_b] : % 199.27/199.76 ( class_Orderings_Oord(T_b) % 199.27/199.76 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_comm__monoid__big_Oinfinite,axiom, % 199.27/199.76 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 199.27/199.76 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 199.27/199.76 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.27/199.76 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_transfer__int__nat__set__relations_I2_J,axiom, % 199.27/199.76 ! [V_A_2,V_x_2] : % 199.27/199.76 ( c_Nat__Transfer_Ois__nat(V_x_2) % 199.27/199.76 => ( c_Nat__Transfer_Onat__set(V_A_2) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 199.27/199.76 <=> 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_code__numeral_Osize_I1_J,axiom, % 199.27/199.76 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) ). % 199.27/199.76 % 199.27/199.76 fof(fact_card__greaterThanLessThan__int,axiom, % 199.27/199.76 ! [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)))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Min_Oremove,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.27/199.76 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) % 199.27/199.76 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__of__nat,axiom, % 199.27/199.76 ! [V_k,T_a] : % 199.27/199.76 ( class_Rings_Oring__1(T_a) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.76 => 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)))) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.76 => 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)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_finite__greaterThanLessThan__int,axiom, % 199.27/199.76 ! [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))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__eq__iff,axiom, % 199.27/199.76 ! [V_z_2,V_w_2,T_b] : % 199.27/199.76 ( class_Int_Oring__char__0(T_b) % 199.27/199.76 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 199.27/199.76 <=> V_w_2 = V_z_2 ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_number__of__eq,axiom, % 199.27/199.76 ! [V_k,T_a] : % 199.27/199.76 ( class_Int_Onumber__ring(T_a) % 199.27/199.76 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_int__number__of__def,axiom, % 199.27/199.76 ! [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) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__int__eq,axiom, % 199.27/199.76 ! [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) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom, % 199.27/199.76 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom, % 199.27/199.76 ! [V_y,V_x] : % 199.27/199.76 ( c_Nat__Transfer_Ois__nat(V_x) % 199.27/199.76 => ( c_Nat__Transfer_Ois__nat(V_y) % 199.27/199.76 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom, % 199.27/199.76 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom, % 199.27/199.76 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom, % 199.27/199.76 ! [V_y,V_x] : % 199.27/199.76 ( c_Nat__Transfer_Ois__nat(V_x) % 199.27/199.76 => ( c_Nat__Transfer_Ois__nat(V_y) % 199.27/199.76 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom, % 199.27/199.76 ! [V_y,V_x] : % 199.27/199.76 ( c_Nat__Transfer_Ois__nat(V_x) % 199.27/199.76 => ( c_Nat__Transfer_Ois__nat(V_y) % 199.27/199.76 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom, % 199.27/199.76 ! [V_y,V_x] : % 199.27/199.76 ( c_Nat__Transfer_Ois__nat(V_x) % 199.27/199.76 => ( c_Nat__Transfer_Ois__nat(V_y) % 199.27/199.76 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom, % 199.27/199.76 ! [V_n,V_x] : % 199.27/199.76 ( c_Nat__Transfer_Ois__nat(V_x) % 199.27/199.76 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom, % 199.27/199.76 ! [V_y,V_x] : % 199.27/199.76 ( c_Nat__Transfer_Ois__nat(V_x) % 199.27/199.76 => ( c_Nat__Transfer_Ois__nat(V_y) % 199.27/199.76 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__0,axiom, % 199.27/199.76 ! [T_a] : % 199.27/199.76 ( class_Rings_Oring__1(T_a) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__0__eq__iff,axiom, % 199.27/199.76 ! [V_z_2,T_b] : % 199.27/199.76 ( class_Int_Oring__char__0(T_b) % 199.27/199.76 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 199.27/199.76 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__eq__0__iff,axiom, % 199.27/199.76 ! [V_z_2,T_b] : % 199.27/199.76 ( class_Int_Oring__char__0(T_b) % 199.27/199.76 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__le__iff,axiom, % 199.27/199.76 ! [V_z_2,V_w_2,T_b] : % 199.27/199.76 ( class_Rings_Olinordered__idom(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2))) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__less__iff,axiom, % 199.27/199.76 ! [V_z_2,V_w_2,T_b] : % 199.27/199.76 ( class_Rings_Olinordered__idom(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2))) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__add,axiom, % 199.27/199.76 ! [V_z,V_w,T_a] : % 199.27/199.76 ( class_Rings_Oring__1(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__number__of__eq,axiom, % 199.27/199.76 ! [V_v,T_a] : % 199.27/199.76 ( class_Int_Onumber__ring(T_a) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__mult,axiom, % 199.27/199.76 ! [V_z,V_w,T_a] : % 199.27/199.76 ( class_Rings_Oring__1(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__1,axiom, % 199.27/199.76 ! [T_a] : % 199.27/199.76 ( class_Rings_Oring__1(T_a) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__diff,axiom, % 199.27/199.76 ! [V_z,V_w,T_a] : % 199.27/199.76 ( class_Rings_Oring__1(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Min_Osingleton,axiom, % 199.27/199.76 ! [V_x_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__of__nat__eq,axiom, % 199.27/199.76 ! [V_n,T_a] : % 199.27/199.76 ( class_Rings_Oring__1(T_a) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__minus,axiom, % 199.27/199.76 ! [V_z,T_a] : % 199.27/199.76 ( class_Rings_Oring__1(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Ints__of__int,axiom, % 199.27/199.76 ! [V_z_2,T_b] : % 199.27/199.76 ( class_Rings_Oring__1(T_b) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__power,axiom, % 199.27/199.76 ! [V_n,V_z,T_a] : % 199.27/199.76 ( class_Rings_Oring__1(T_a) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_is__nat__def,axiom, % 199.27/199.76 ! [V_x_2] : % 199.27/199.76 ( c_Nat__Transfer_Ois__nat(V_x_2) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_greaterThanLessThan__empty,axiom, % 199.27/199.76 ! [V_k_2,V_l_2,T_b] : % 199.27/199.76 ( class_Orderings_Oorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 199.27/199.76 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_image__uminus__greaterThanLessThan,axiom, % 199.27/199.76 ! [V_y_2,V_x_2,T_b] : % 199.27/199.76 ( class_Groups_Oordered__ab__group__add(T_b) % 199.27/199.76 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Min__le,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_x_2)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom, % 199.27/199.76 ! [V_x_2,V_A_2] : % 199.27/199.76 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 199.27/199.76 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Min__in,axiom, % 199.27/199.76 ! [V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Min_Oin__idem,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__m1,axiom, % 199.27/199.76 ! [T_a] : % 199.27/199.76 ( class_Int_Onumber__ring(T_a) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Min_OF__eq,axiom, % 199.27/199.76 ! [V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom, % 199.27/199.76 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__le__0__iff,axiom, % 199.27/199.76 ! [V_z_2,T_b] : % 199.27/199.76 ( class_Rings_Olinordered__idom(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__0__le__iff,axiom, % 199.27/199.76 ! [V_z_2,T_b] : % 199.27/199.76 ( class_Rings_Olinordered__idom(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2))) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__0__less__iff,axiom, % 199.27/199.76 ! [V_z_2,T_b] : % 199.27/199.76 ( class_Rings_Olinordered__idom(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2))) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__less__0__iff,axiom, % 199.27/199.76 ! [V_z_2,T_b] : % 199.27/199.76 ( class_Rings_Olinordered__idom(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Min__antimono,axiom, % 199.27/199.76 ! [V_N_2,V_M_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 199.27/199.76 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_M_2))) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__nat__nat,axiom, % 199.27/199.76 ! [V_z,T_a] : % 199.27/199.76 ( class_Rings_Oring__1(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 199.27/199.76 => 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) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Min__insert,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Min_Osubset__idem,axiom, % 199.27/199.76 ! [V_B_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Min_Oeq__fold__idem_H,axiom, % 199.27/199.76 ! [V_a_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom, % 199.27/199.76 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Min_Oinsert,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.27/199.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Min_Oinsert__remove,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 199.27/199.76 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Min_Oeq__fold_H,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.27/199.76 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__num,axiom, % 199.27/199.76 ! [V_k_2,T_b] : % 199.27/199.76 ( class_Rings_Oring__1(T_b) % 199.27/199.76 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.76 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) ) % 199.27/199.76 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.76 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.76 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),T_b),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),tc_Int_Oint),c_COMBB(tc_fun(T_b,T_b),T_b,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,T_b),T_b),tc_Int_Oint),c_HOL_OLet(T_b,T_b)),c_Int_Oring__1__class_Oof__int(T_b)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,T_b)),tc_Int_Oint),c_COMBS(T_b,T_b,T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),tc_Int_Oint),c_COMBB(T_b,tc_fun(T_b,T_b),T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Oplus__class_Oplus(T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b)))),c_Groups_Oone__class_Oone(T_b))))),c_Divides_Odivmod__int(V_k_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_code__numeral_Osize_I2_J,axiom, % 199.27/199.76 ! [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))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Min_Oclosed,axiom, % 199.27/199.76 ! [V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_OInf__fin_Oremove,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.27/199.76 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 ) % 199.27/199.76 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nitpick_Oint__lcm__def,axiom, % 199.27/199.76 ! [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)))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_finite__greaterThanLessThan,axiom, % 199.27/199.76 ! [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))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_code__numeral_Oinject,axiom, % 199.27/199.76 ! [V_code__numeral_H_2,V_code__numeral_2] : % 199.27/199.76 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2) % 199.27/199.76 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_code__numeral_Osimps_I2_J,axiom, % 199.27/199.76 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ). % 199.27/199.76 % 199.27/199.76 fof(fact_code__numeral_Osimps_I3_J,axiom, % 199.27/199.76 ! [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) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_OInf__fin_Oin__idem,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_OInf__fin_Osingleton,axiom, % 199.27/199.76 ! [V_x_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_OInf__fin_OF__eq,axiom, % 199.27/199.76 ! [V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Suc__code__numeral__minus__one,axiom, % 199.27/199.76 ! [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 ). % 199.27/199.76 % 199.27/199.76 fof(fact_card__greaterThanLessThan,axiom, % 199.27/199.76 ! [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)) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_OInf__fin_Osubset__idem,axiom, % 199.27/199.76 ! [V_B_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom, % 199.27/199.76 ! [V_a_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_OInf__fin_Oinsert,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.27/199.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 199.27/199.76 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom, % 199.27/199.76 ! [V_x_2,V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.27/199.76 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_code__numeral_Osize_I4_J,axiom, % 199.27/199.76 ! [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))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_int__ge__less__than__def,axiom, % 199.27/199.76 ! [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)))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_int__ge__less__than2__def,axiom, % 199.27/199.76 ! [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)))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nitpick_Onat__lcm__def,axiom, % 199.27/199.76 ! [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)) ). % 199.27/199.76 % 199.27/199.76 fof(fact_min__max_OInf__fin_Oclosed,axiom, % 199.27/199.76 ! [V_A_2,T_b] : % 199.27/199.76 ( class_Orderings_Olinorder(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),V_A_2)) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_nat__gcd_Osimps,axiom, % 199.27/199.76 ! [V_x,V_y] : % 199.27/199.76 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.27/199.76 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x ) % 199.27/199.76 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.27/199.76 => 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)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_code__numeral_Osize_I3_J,axiom, % 199.27/199.76 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) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nitpick_Oprod__def,axiom, % 199.27/199.76 ! [V_B_2,V_A_2,T_c,T_b] : c_Nitpick_Oprod(T_b,T_c,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2)))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nitpick_Oint__gcd__def,axiom, % 199.27/199.76 ! [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)))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nitpick_OFrac__def,axiom, % 199.27/199.76 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)))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divmod__int__rel__def,axiom, % 199.27/199.76 ! [V_ba_2,V_a_2] : c_Divides_Odivmod__int__rel(V_a_2,V_ba_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_ba_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_ba_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_ba_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_ba_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_ba_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))))))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__gen__delta,axiom, % 199.27/199.76 ! [V_ca_2,V_ba_2,V_a_2,V_S_2,T_b,T_c] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_ba_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_ba_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_ba_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_ca_2),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom, % 199.27/199.76 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__nat__setprod,axiom, % 199.27/199.76 ! [V_A_2,V_f_2,T_c,T_b] : % 199.27/199.76 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 199.27/199.76 & class_Rings_Osemiring__1(T_b) ) % 199.27/199.76 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_int__setprod,axiom, % 199.27/199.76 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ). % 199.27/199.76 % 199.27/199.76 fof(fact_of__int__setprod,axiom, % 199.27/199.76 ! [V_A_2,V_f_2,T_c,T_b] : % 199.27/199.76 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 199.27/199.76 & class_Rings_Oring__1(T_b) ) % 199.27/199.76 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__timesf,axiom, % 199.27/199.76 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_b) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),V_A_2)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__1,axiom, % 199.27/199.76 ! [V_A_2,T_c,T_b] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_b) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Oone__class_Oone(T_b))),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_abs__setprod,axiom, % 199.27/199.76 ! [V_A_2,V_f_2,T_c,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_b) % 199.27/199.76 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom, % 199.27/199.76 ! [V_A_2,V_f_2,T_b] : % 199.27/199.76 ( ( class_Groups_Ocomm__monoid__add(T_b) % 199.27/199.76 & class_Groups_Ocomm__monoid__mult(T_b) ) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__zero,axiom, % 199.27/199.76 ! [V_f_2,V_A_2,T_b,T_c] : % 199.27/199.76 ( class_Rings_Ocomm__semiring__1(T_c) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( ? [B_x] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.27/199.76 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__zero__iff,axiom, % 199.27/199.76 ! [V_f_2,V_A_2,T_b,T_c] : % 199.27/199.76 ( ( class_Rings_Ocomm__semiring__1(T_c) % 199.27/199.76 & class_Rings_Ono__zero__divisors(T_c) ) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) % 199.27/199.76 <=> ? [B_x] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.27/199.76 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__empty,axiom, % 199.27/199.76 ! [V_f_2,T_c,T_b] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_b) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod_Oempty,axiom, % 199.27/199.76 ! [V_g_2,T_c,T_b] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_b) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod_Oinfinite,axiom, % 199.27/199.76 ! [V_g_2,V_A_2,T_b,T_c] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.27/199.76 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__infinite,axiom, % 199.27/199.76 ! [V_f_2,V_A_2,T_b,T_c] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.27/199.76 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__eq__1__iff,axiom, % 199.27/199.76 ! [V_f_2,V_F_2,T_b] : % 199.27/199.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.27/199.76 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 199.27/199.76 <=> ! [B_x] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 199.27/199.76 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom, % 199.27/199.76 ! [V_f_2,V_A_2,T_b] : % 199.27/199.76 ( ( class_Groups_Ocomm__monoid__add(T_b) % 199.27/199.76 & class_Groups_Ocomm__monoid__mult(T_b) ) % 199.27/199.76 => ( c_Nat__Transfer_Onat__set(V_A_2) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod_Odistrib,axiom, % 199.27/199.76 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_A_2)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__pos__nat__iff,axiom, % 199.27/199.76 ! [V_f_2,V_S_2,T_b] : % 199.27/199.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) % 199.27/199.76 <=> ! [B_x] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__reindex__cong,axiom, % 199.27/199.76 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_d) % 199.27/199.76 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.27/199.76 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 199.27/199.76 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__reindex,axiom, % 199.27/199.76 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_d) % 199.27/199.76 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__delta_H,axiom, % 199.27/199.76 ! [V_ba_2,V_a_2,V_S_2,T_b,T_c] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_ba_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_ba_2,V_a_2) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_ba_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__delta,axiom, % 199.27/199.76 ! [V_ba_2,V_a_2,V_S_2,T_b,T_c] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_ba_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_ba_2,V_a_2) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_ba_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__constant,axiom, % 199.27/199.76 ! [V_y_2,V_A_2,T_b,T_c] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_COMBK(T_c,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_y_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divmod__int__correct,axiom, % 199.27/199.76 ! [V_a,V_b] : % 199.27/199.76 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.76 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__insert,axiom, % 199.27/199.76 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod_Oinsert,axiom, % 199.27/199.76 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod_Oreindex,axiom, % 199.27/199.76 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod_Oeq__fold,axiom, % 199.27/199.76 ! [V_g_2,V_A_2,T_b,T_c] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod_OF__eq,axiom, % 199.27/199.76 ! [V_g_2,V_A_2,T_b,T_c] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.27/199.76 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod_Oinsert__remove,axiom, % 199.27/199.76 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod_Oremove,axiom, % 199.27/199.76 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 199.27/199.76 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_finite__psubset__def,axiom, % 199.27/199.76 ! [T_b] : c_Wellfounded_Ofinite__psubset(T_b) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_b)))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_zmult2__lemma,axiom, % 199.27/199.76 ! [V_c,V_r,V_q,V_b,V_a] : % 199.27/199.76 ( 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))) % 199.27/199.76 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 199.27/199.76 => 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)))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__diff1,axiom, % 199.27/199.76 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] : % 199.27/199.76 ( class_Fields_Ofield(T_c) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_add__Min__commute,axiom, % 199.27/199.76 ! [V_k_2,V_N_2,T_b] : % 199.27/199.76 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.27/199.76 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.27/199.76 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_adjust__def,axiom, % 199.27/199.76 ! [V_ba_2] : c_Divides_Oadjust(V_ba_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_ba_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_ba_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))))))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__zero__left,axiom, % 199.27/199.76 ! [V_a,T_a] : % 199.27/199.76 ( class_Rings_Odivision__ring(T_a) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__zero,axiom, % 199.27/199.76 ! [V_a,T_a] : % 199.27/199.76 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_minus__divide__left,axiom, % 199.27/199.76 ! [V_b,V_a,T_a] : % 199.27/199.76 ( class_Rings_Odivision__ring(T_a) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_power__divide,axiom, % 199.27/199.76 ! [V_n,V_b,V_a,T_a] : % 199.27/199.76 ( class_Fields_Ofield__inverse__zero(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_pred__equals__eq2,axiom, % 199.27/199.76 ! [V_S_2,V_R_2,T_c,T_b] : % 199.27/199.76 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2) % 199.27/199.76 <=> V_R_2 = V_S_2 ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_times__divide__eq__right,axiom, % 199.27/199.76 ! [V_c,V_b,V_a,T_a] : % 199.27/199.76 ( class_Rings_Odivision__ring(T_a) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_add__divide__distrib,axiom, % 199.27/199.76 ! [V_c,V_b,V_a,T_a] : % 199.27/199.76 ( class_Rings_Odivision__ring(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__1,axiom, % 199.27/199.76 ! [V_a,T_a] : % 199.27/199.76 ( class_Rings_Odivision__ring(T_a) % 199.27/199.76 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_diff__divide__distrib,axiom, % 199.27/199.76 ! [V_c,V_b,V_a,T_a] : % 199.27/199.76 ( class_Rings_Odivision__ring(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_pred__subset__eq2,axiom, % 199.27/199.76 ! [V_S_2,V_R_2,T_c,T_b] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2))) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_bot__empty__eq2,axiom, % 199.27/199.76 ! [V_y_2,V_x_2,T_c,T_b] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_eq__divide__imp,axiom, % 199.27/199.76 ! [V_b,V_a,V_c,T_a] : % 199.27/199.76 ( class_Rings_Odivision__ring(T_a) % 199.27/199.76 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b % 199.27/199.76 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__eq__imp,axiom, % 199.27/199.76 ! [V_a,V_b,V_c,T_a] : % 199.27/199.76 ( class_Rings_Odivision__ring(T_a) % 199.27/199.76 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) % 199.27/199.76 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_nonzero__divide__eq__eq,axiom, % 199.27/199.76 ! [V_a_2,V_ba_2,V_ca_2,T_b] : % 199.27/199.76 ( class_Rings_Odivision__ring(T_b) % 199.27/199.76 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2) = V_a_2 % 199.27/199.76 <=> V_ba_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_nonzero__eq__divide__eq,axiom, % 199.27/199.76 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 199.27/199.76 ( class_Rings_Odivision__ring(T_b) % 199.27/199.76 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2) % 199.27/199.76 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) = V_ba_2 ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_right__inverse__eq,axiom, % 199.27/199.76 ! [V_a_2,V_ba_2,T_b] : % 199.27/199.76 ( class_Rings_Odivision__ring(T_b) % 199.27/199.76 => ( V_ba_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_ba_2) = c_Groups_Oone__class_Oone(T_b) % 199.27/199.76 <=> V_a_2 = V_ba_2 ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__self,axiom, % 199.27/199.76 ! [V_a,T_a] : % 199.27/199.76 ( class_Rings_Odivision__ring(T_a) % 199.27/199.76 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__self__if,axiom, % 199.27/199.76 ! [V_a,T_a] : % 199.27/199.76 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 199.27/199.76 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) % 199.27/199.76 & ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_nonzero__minus__divide__right,axiom, % 199.27/199.76 ! [V_a,V_b,T_a] : % 199.27/199.76 ( class_Rings_Odivision__ring(T_a) % 199.27/199.76 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => 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)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_nonzero__minus__divide__divide,axiom, % 199.27/199.76 ! [V_a,V_b,T_a] : % 199.27/199.76 ( class_Rings_Odivision__ring(T_a) % 199.27/199.76 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => 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) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_nonzero__power__divide,axiom, % 199.27/199.76 ! [V_n,V_a,V_b,T_a] : % 199.27/199.76 ( class_Fields_Ofield(T_a) % 199.27/199.76 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => 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)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_power__one__over,axiom, % 199.27/199.76 ! [V_n,V_a,T_a] : % 199.27/199.76 ( class_Fields_Ofield__inverse__zero(T_a) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_rev__ImageI,axiom, % 199.27/199.76 ! [V_r_2,V_ba_2,T_c,V_A_2,V_a_2,T_b] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_r_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Image__iff,axiom, % 199.27/199.76 ! [V_A_2,V_r_2,T_c,V_ba_2,T_b] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 199.27/199.76 <=> ? [B_x] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.27/199.76 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_ba_2)),V_r_2)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divmod__int__rel__0,axiom, % 199.27/199.76 ! [V_b] : % 199.27/199.76 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.76 => 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)))) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_self__remainder,axiom, % 199.27/199.76 ! [V_r,V_q,V_a] : % 199.27/199.76 ( 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))) % 199.27/199.76 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.76 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_unique__quotient,axiom, % 199.27/199.76 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 199.27/199.76 ( 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))) % 199.27/199.76 => ( 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))) % 199.27/199.76 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.76 => V_q = V_q_H ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_unique__remainder,axiom, % 199.27/199.76 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 199.27/199.76 ( 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))) % 199.27/199.76 => ( 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))) % 199.27/199.76 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.76 => V_r = V_r_H ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_setprod__dividef,axiom, % 199.27/199.76 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 199.27/199.76 ( class_Fields_Ofield__inverse__zero(T_c) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.27/199.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Rings_Oinverse__class_Odivide(T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_finite__Collect__bounded__ex,axiom, % 199.27/199.76 ! [V_Q_2,T_c,V_Pa_2,T_b] : % 199.27/199.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 199.27/199.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Q_2))))) % 199.27/199.76 <=> ! [B_y] : % 199.27/199.76 ( hBOOL(hAPP(V_Pa_2,B_y)) % 199.27/199.76 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_y)))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_finite__image__set,axiom, % 199.27/199.76 ! [V_f_2,T_c,V_Pa_2,T_b] : % 199.27/199.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 199.27/199.76 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_Pa_2))))) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__eq__eq__number__of1,axiom, % 199.27/199.76 ! [V_a_2,V_w_2,V_ba_2,T_b] : % 199.27/199.76 ( ( class_Fields_Ofield__inverse__zero(T_b) % 199.27/199.76 & class_Int_Onumber(T_b) ) % 199.27/199.76 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_a_2 % 199.27/199.76 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => V_ba_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) % 199.27/199.76 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__eq__eq__number__of,axiom, % 199.27/199.76 ! [V_w_2,V_ca_2,V_ba_2,T_b] : % 199.27/199.76 ( ( class_Fields_Ofield__inverse__zero(T_b) % 199.27/199.76 & class_Int_Onumber(T_b) ) % 199.27/199.76 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) % 199.27/199.76 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => V_ba_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2) ) % 199.27/199.76 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_eq__divide__eq__number__of,axiom, % 199.27/199.76 ! [V_ca_2,V_ba_2,V_w_2,T_b] : % 199.27/199.76 ( ( class_Fields_Ofield__inverse__zero(T_b) % 199.27/199.76 & class_Int_Onumber(T_b) ) % 199.27/199.76 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2) % 199.27/199.76 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2) = V_ba_2 ) % 199.27/199.76 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_eq__divide__eq__number__of1,axiom, % 199.27/199.76 ! [V_w_2,V_ba_2,V_a_2,T_b] : % 199.27/199.76 ( ( class_Fields_Ofield__inverse__zero(T_b) % 199.27/199.76 & class_Int_Onumber(T_b) ) % 199.27/199.76 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) % 199.27/199.76 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_ba_2 ) % 199.27/199.76 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__Numeral0,axiom, % 199.27/199.76 ! [V_x,T_a] : % 199.27/199.76 ( ( class_Fields_Ofield__inverse__zero(T_a) % 199.27/199.76 & class_Int_Onumber__ring(T_a) ) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__Numeral1,axiom, % 199.27/199.76 ! [V_x,T_a] : % 199.27/199.76 ( ( class_Fields_Ofield(T_a) % 199.27/199.76 & class_Int_Onumber__ring(T_a) ) % 199.27/199.76 => 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 ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__numeral__1,axiom, % 199.27/199.76 ! [V_a,T_a] : % 199.27/199.76 ( ( class_Fields_Ofield(T_a) % 199.27/199.76 & class_Int_Onumber__ring(T_a) ) % 199.27/199.76 => 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 ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__minus1,axiom, % 199.27/199.76 ! [V_x,T_a] : % 199.27/199.76 ( ( class_Fields_Ofield__inverse__zero(T_a) % 199.27/199.76 & class_Int_Onumber__ring(T_a) ) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_self__quotient,axiom, % 199.27/199.76 ! [V_r,V_q,V_a] : % 199.27/199.76 ( 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))) % 199.27/199.76 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.76 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divmod__int__rel__mod,axiom, % 199.27/199.76 ! [V_r,V_q,V_b,V_a] : % 199.27/199.76 ( 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))) % 199.27/199.76 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.76 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divmod__int__rel__div,axiom, % 199.27/199.76 ! [V_r,V_q,V_b,V_a] : % 199.27/199.76 ( 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))) % 199.27/199.76 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.76 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divmod__int__mod__div,axiom, % 199.27/199.76 ! [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)) ). % 199.27/199.76 % 199.27/199.76 fof(fact_less__divide__eq__number__of1,axiom, % 199.27/199.76 ! [V_w_2,V_ba_2,V_a_2,T_b] : % 199.27/199.76 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 & class_Int_Onumber(T_b) ) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) % 199.27/199.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_ba_2)) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_less__divide__eq__number__of,axiom, % 199.27/199.76 ! [V_ca_2,V_ba_2,V_w_2,T_b] : % 199.27/199.76 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 & class_Int_Onumber(T_b) ) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2))) % 199.27/199.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2)),V_ba_2)) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2))) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__less__eq__number__of,axiom, % 199.27/199.76 ! [V_w_2,V_ca_2,V_ba_2,T_b] : % 199.27/199.76 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 & class_Int_Onumber(T_b) ) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 199.27/199.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2))) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2)),V_ba_2)) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__less__eq__number__of1,axiom, % 199.27/199.76 ! [V_a_2,V_w_2,V_ba_2,T_b] : % 199.27/199.76 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 & class_Int_Onumber(T_b) ) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2)) % 199.27/199.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_ba_2)) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_power__diff,axiom, % 199.27/199.76 ! [V_m,V_n,V_a,T_a] : % 199.27/199.76 ( class_Fields_Ofield(T_a) % 199.27/199.76 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.27/199.76 => 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)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_minus1__divide,axiom, % 199.27/199.76 ! [V_x,T_a] : % 199.27/199.76 ( ( class_Fields_Ofield__inverse__zero(T_a) % 199.27/199.76 & class_Int_Onumber__ring(T_a) ) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Image__singleton__iff,axiom, % 199.27/199.76 ! [V_a_2,V_r_2,T_c,V_ba_2,T_b] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_ba_2)),V_r_2)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divmod__int__rel__div__mod,axiom, % 199.27/199.76 ! [V_a,V_b] : % 199.27/199.76 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.76 => 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)))) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Image__singleton,axiom, % 199.27/199.76 ! [V_a_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_b))),hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2))),V_r_2)) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__le__eq__number__of1,axiom, % 199.27/199.76 ! [V_a_2,V_w_2,V_ba_2,T_b] : % 199.27/199.76 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 & class_Int_Onumber(T_b) ) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2)) % 199.27/199.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_ba_2)) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__le__eq__number__of,axiom, % 199.27/199.76 ! [V_w_2,V_ca_2,V_ba_2,T_b] : % 199.27/199.76 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 & class_Int_Onumber(T_b) ) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 199.27/199.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2))) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2)),V_ba_2)) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_le__divide__eq__number__of,axiom, % 199.27/199.76 ! [V_ca_2,V_ba_2,V_w_2,T_b] : % 199.27/199.76 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 & class_Int_Onumber(T_b) ) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2))) % 199.27/199.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2)),V_ba_2)) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2))) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_le__divide__eq__number__of1,axiom, % 199.27/199.76 ! [V_w_2,V_ba_2,V_a_2,T_b] : % 199.27/199.76 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 & class_Int_Onumber(T_b) ) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) % 199.27/199.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_ba_2)) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Pow__Compl,axiom, % 199.27/199.76 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_b))))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_zadd1__lemma,axiom, % 199.27/199.76 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 199.27/199.76 ( 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))) % 199.27/199.76 => ( 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))) % 199.27/199.76 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.76 => 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)))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_zminus1__lemma,axiom, % 199.27/199.76 ! [V_r_2,V_q_2,V_ba_2,V_a_2] : % 199.27/199.76 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a_2,V_ba_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2))) % 199.27/199.76 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),V_ba_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_ba_2),V_r_2))))) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_half__gt__zero,axiom, % 199.27/199.76 ! [V_r,T_a] : % 199.27/199.76 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 199.27/199.76 & class_Int_Onumber__ring(T_a) ) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r)) % 199.27/199.76 => 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)))))) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_half__gt__zero__iff,axiom, % 199.27/199.76 ! [V_r_2,T_b] : % 199.27/199.76 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 & class_Int_Onumber__ring(T_b) ) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_r_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divmod__int__relI,axiom, % 199.27/199.76 ! [V_r,V_q,V_b,V_a] : % 199.27/199.76 ( 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) % 199.27/199.76 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 199.27/199.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 199.27/199.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 199.27/199.76 => 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))) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_zmult1__lemma,axiom, % 199.27/199.76 ! [V_a,V_r,V_q,V_c,V_b] : % 199.27/199.76 ( 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))) % 199.27/199.76 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.76 => 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)))) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_adjust__eq,axiom, % 199.27/199.76 ! [V_r_2,V_q_2,V_ba_2] : hAPP(c_Divides_Oadjust(V_ba_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_ba_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))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_pair__imageI,axiom, % 199.27/199.76 ! [V_f_2,T_d,V_A_2,V_ba_2,V_a_2,T_c,T_b] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_A_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(hAPP(V_f_2,V_a_2),V_ba_2)),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),V_A_2))) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_norm__frac_Osimps,axiom, % 199.27/199.76 ! [V_a_2,V_ba_2] : % 199.27/199.76 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.76 => c_Nitpick_Onorm__frac(V_a_2,V_ba_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_ba_2)) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.76 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.76 | V_ba_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 199.27/199.76 => c_Nitpick_Onorm__frac(V_a_2,V_ba_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)) ) % 199.27/199.76 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.76 | V_ba_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 199.27/199.76 => c_Nitpick_Onorm__frac(V_a_2,V_ba_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_ba_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_ba_2))) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_negDivAlg__eqn__1__number__of,axiom, % 199.27/199.76 ! [V_w] : % 199.27/199.76 ( 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))) % 199.27/199.76 => ( ( 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)))) % 199.27/199.76 => 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))) ) % 199.27/199.76 & ( ~ 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)))) % 199.27/199.76 => 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)))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_splitI,axiom, % 199.27/199.76 ! [T_c,T_b,V_ba_2,V_a_2,V_f_2] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_ba_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2))) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_prod__caseI,axiom, % 199.27/199.76 ! [T_c,T_b,V_ba_2,V_a_2,V_f1_2] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_ba_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2))) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_mem__splitI,axiom, % 199.27/199.76 ! [T_d,T_c,V_ba_2,V_a_2,V_ca_2,V_z_2,T_b] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_ca_2,V_a_2),V_ba_2))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_ba_2)))) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_bot2E,axiom, % 199.27/199.76 ! [V_y_2,V_x_2,T_c,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) ). % 199.27/199.76 % 199.27/199.76 fof(fact_splitD_H,axiom, % 199.27/199.76 ! [V_ca_2,V_ba_2,V_a_2,V_R_2,T_d,T_c,T_b] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_ca_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_ba_2),V_ca_2)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_predicate2D,axiom, % 199.27/199.76 ! [V_y_2,V_x_2,V_Q_2,V_Pa_2,T_c,T_b] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Q_2)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_rev__predicate2D,axiom, % 199.27/199.76 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Q_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_split__paired__All,axiom, % 199.27/199.76 ! [T_c,T_b,V_Pa_2] : % 199.27/199.76 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 199.27/199.76 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Pair__eq,axiom, % 199.27/199.76 ! [V_b_H_2,V_a_H_2,V_ba_2,V_a_2,T_c,T_b] : % 199.27/199.76 ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2) % 199.27/199.76 <=> ( V_a_2 = V_a_H_2 % 199.27/199.76 & V_ba_2 = V_b_H_2 ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Pair__inject,axiom, % 199.27/199.76 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] : % 199.27/199.76 ( 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) % 199.27/199.76 => ~ ( V_a = V_a_H % 199.27/199.76 => V_b != V_b_H ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_split__weak__cong,axiom, % 199.27/199.76 ! [V_ca_2,T_d,T_c,T_b,V_q_2,V_p_2] : % 199.27/199.76 ( V_p_2 = V_q_2 % 199.27/199.76 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_ca_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_ca_2),V_q_2) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_in__finite__psubset,axiom, % 199.27/199.76 ! [V_B_2,V_A_2,T_b] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_b))) % 199.27/199.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.27/199.76 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_negDivAlg__correct,axiom, % 199.27/199.76 ! [V_b,V_a] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.76 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_prod_Osimps_I2_J,axiom, % 199.27/199.76 ! [V_ba_2,V_a_2,V_f1_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_ba_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_ba_2) ). % 199.27/199.76 % 199.27/199.76 fof(fact_split__conv,axiom, % 199.27/199.76 ! [V_ba_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_ba_2)) = hAPP(hAPP(V_f_2,V_a_2),V_ba_2) ). % 199.27/199.76 % 199.27/199.76 fof(fact_splitD,axiom, % 199.27/199.76 ! [V_ba_2,V_a_2,V_f_2,T_c,T_b] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2))) % 199.27/199.76 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_ba_2)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_negDivAlg__div__mod,axiom, % 199.27/199.76 ! [V_l,V_k] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 199.27/199.76 => 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)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_negDivAlg__minus1,axiom, % 199.27/199.76 ! [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))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_split__eta,axiom, % 199.27/199.76 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_d),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_d,T_c),V_f_2)),c_Product__Type_OPair(T_b,T_c))) = V_f_2 ). % 199.27/199.76 % 199.27/199.76 fof(fact_The__split__eq,axiom, % 199.27/199.76 ! [V_y_2,V_x_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ). % 199.27/199.76 % 199.27/199.76 fof(fact_split__paired__The,axiom, % 199.27/199.76 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_Pa_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 199.27/199.76 % 199.27/199.76 fof(fact_swap__inj__on,axiom, % 199.27/199.76 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(tc_prod(T_b,T_c),tc_prod(T_c,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_c,T_b)),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))),V_A_2) ). % 199.27/199.76 % 199.27/199.76 fof(fact_split__twice,axiom, % 199.27/199.76 ! [V_p_2,V_g_2,T_f,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,tc_prod(T_c,T_d)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(T_f,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_f),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2))),V_g_2)),V_p_2) ). % 199.27/199.76 % 199.27/199.76 fof(fact_negDivAlg_Osimps,axiom, % 199.27/199.76 ! [V_b,V_a] : % 199.27/199.76 ( ( ( 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))) % 199.27/199.76 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.27/199.76 => 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)) ) % 199.27/199.76 & ( ~ ( 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))) % 199.27/199.76 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.27/199.76 => 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))) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_negDivAlg__eqn,axiom, % 199.27/199.76 ! [V_a,V_b] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.76 => ( ( 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))) % 199.27/199.76 => 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)) ) % 199.27/199.76 & ( ~ 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))) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_negDivAlg__eqn__number__of,axiom, % 199.27/199.76 ! [V_w,V_v] : % 199.27/199.76 ( 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))) % 199.27/199.76 => ( ( 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)))) % 199.27/199.76 => 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))) ) % 199.27/199.76 & ( ~ 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)))) % 199.27/199.76 => 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)))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_in__rel__def,axiom, % 199.27/199.76 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2)) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_R_2)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_div__mod__code__numeral__def,axiom, % 199.27/199.76 ! [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)) ). % 199.27/199.76 % 199.27/199.76 fof(fact_le__divide__eq,axiom, % 199.27/199.76 ! [V_ca_2,V_ba_2,V_a_2,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2))) % 199.27/199.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_ba_2)) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__le__eq,axiom, % 199.27/199.76 ! [V_a_2,V_ca_2,V_ba_2,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)),V_a_2)) % 199.27/199.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_ba_2)) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_pos__le__divide__eq,axiom, % 199.27/199.76 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2))) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_ba_2)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_times__divide__times__eq,axiom, % 199.27/199.76 ! [V_w,V_z,V_y,V_x,T_a] : % 199.27/199.76 ( class_Fields_Ofield__inverse__zero(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_minus__divide__right,axiom, % 199.27/199.76 ! [V_b,V_a,T_a] : % 199.27/199.76 ( class_Fields_Ofield__inverse__zero(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_minus__divide__divide,axiom, % 199.27/199.76 ! [V_b,V_a,T_a] : % 199.27/199.76 ( class_Fields_Ofield__inverse__zero(T_a) % 199.27/199.76 => 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) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_abs__divide,axiom, % 199.27/199.76 ! [V_b,V_a,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 199.27/199.76 => 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)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_zero__le__divide__iff,axiom, % 199.27/199.76 ! [V_ba_2,V_a_2,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_ba_2))) % 199.27/199.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 199.27/199.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) ) % 199.27/199.76 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__le__0__iff,axiom, % 199.27/199.76 ! [V_ba_2,V_a_2,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 199.27/199.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 199.27/199.76 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__right__mono,axiom, % 199.27/199.76 ! [V_c,V_b,V_a,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__right__mono__neg,axiom, % 199.27/199.76 ! [V_c,V_b,V_a,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_zero__less__divide__iff,axiom, % 199.27/199.76 ! [V_ba_2,V_a_2,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_ba_2))) % 199.27/199.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 199.27/199.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) ) % 199.27/199.76 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__less__0__iff,axiom, % 199.27/199.76 ! [V_ba_2,V_a_2,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 199.27/199.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 199.27/199.76 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__pos__pos,axiom, % 199.27/199.76 ! [V_y,V_x,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__pos__neg,axiom, % 199.27/199.76 ! [V_y,V_x,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__neg__pos,axiom, % 199.27/199.76 ! [V_y,V_x,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__neg__neg,axiom, % 199.27/199.76 ! [V_y,V_x,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__strict__right__mono,axiom, % 199.27/199.76 ! [V_c,V_b,V_a,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__strict__right__mono__neg,axiom, % 199.27/199.76 ! [V_c,V_a,V_b,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_frac__eq__eq,axiom, % 199.27/199.76 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] : % 199.27/199.76 ( class_Fields_Ofield(T_b) % 199.27/199.76 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_w_2),V_z_2) % 199.27/199.76 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_mult__divide__mult__cancel__left,axiom, % 199.27/199.76 ! [V_b,V_a,V_c,T_a] : % 199.27/199.76 ( class_Fields_Ofield__inverse__zero(T_a) % 199.27/199.76 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => 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) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_mult__divide__mult__cancel__right,axiom, % 199.27/199.76 ! [V_b,V_a,V_c,T_a] : % 199.27/199.76 ( class_Fields_Ofield__inverse__zero(T_a) % 199.27/199.76 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => 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) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__eq__eq,axiom, % 199.27/199.76 ! [V_a_2,V_ca_2,V_ba_2,T_b] : % 199.27/199.76 ( class_Fields_Ofield__inverse__zero(T_b) % 199.27/199.76 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2) = V_a_2 % 199.27/199.76 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => V_ba_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) ) % 199.27/199.76 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_eq__divide__eq,axiom, % 199.27/199.76 ! [V_ca_2,V_ba_2,V_a_2,T_b] : % 199.27/199.76 ( class_Fields_Ofield__inverse__zero(T_b) % 199.27/199.76 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2) % 199.27/199.76 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) = V_ba_2 ) % 199.27/199.76 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.27/199.76 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_nonzero__abs__divide,axiom, % 199.27/199.76 ! [V_a,V_b,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => 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)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__nonpos__neg,axiom, % 199.27/199.76 ! [V_y,V_x,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__nonpos__pos,axiom, % 199.27/199.76 ! [V_y,V_x,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_frac__le,axiom, % 199.27/199.76 ! [V_z,V_w,V_y,V_x,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 199.27/199.76 => 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))) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_frac__less,axiom, % 199.27/199.76 ! [V_z,V_w,V_y,V_x,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 199.27/199.76 => 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))) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_frac__less2,axiom, % 199.27/199.76 ! [V_z,V_w,V_y,V_x,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z)) % 199.27/199.76 => 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))) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__nonneg__neg,axiom, % 199.27/199.76 ! [V_y,V_x,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__nonneg__pos,axiom, % 199.27/199.76 ! [V_y,V_x,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_less__divide__eq,axiom, % 199.27/199.76 ! [V_ca_2,V_ba_2,V_a_2,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2))) % 199.27/199.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_ba_2)) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__less__eq,axiom, % 199.27/199.76 ! [V_a_2,V_ca_2,V_ba_2,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)),V_a_2)) % 199.27/199.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_ba_2)) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_pos__less__divide__eq,axiom, % 199.27/199.76 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2))) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_ba_2)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_pos__divide__less__eq,axiom, % 199.27/199.76 ! [V_a_2,V_ba_2,V_ca_2,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)),V_a_2)) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_mult__imp__div__pos__less,axiom, % 199.27/199.76 ! [V_z,V_x,V_y,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.27/199.76 => ( 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))) % 199.27/199.76 => 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)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_mult__imp__less__div__pos,axiom, % 199.27/199.76 ! [V_x,V_z,V_y,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.27/199.76 => ( 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)) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_neg__less__divide__eq,axiom, % 199.27/199.76 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2))) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_neg__divide__less__eq,axiom, % 199.27/199.76 ! [V_a_2,V_ba_2,V_ca_2,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)),V_a_2)) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_ba_2)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__strict__left__mono,axiom, % 199.27/199.76 ! [V_c,V_a,V_b,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.27/199.76 => ( 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))) % 199.27/199.76 => 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))) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__strict__left__mono__neg,axiom, % 199.27/199.76 ! [V_c,V_b,V_a,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 199.27/199.76 => ( 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))) % 199.27/199.76 => 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))) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_add__num__frac,axiom, % 199.27/199.76 ! [V_x,V_z,V_y,T_a] : % 199.27/199.76 ( class_Fields_Ofield__inverse__zero(T_a) % 199.27/199.76 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => 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) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_add__divide__eq__iff,axiom, % 199.27/199.76 ! [V_y,V_x,V_z,T_a] : % 199.27/199.76 ( class_Fields_Ofield(T_a) % 199.27/199.76 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => 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) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_add__frac__num,axiom, % 199.27/199.76 ! [V_z,V_x,V_y,T_a] : % 199.27/199.76 ( class_Fields_Ofield__inverse__zero(T_a) % 199.27/199.76 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => 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) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__add__eq__iff,axiom, % 199.27/199.76 ! [V_y,V_x,V_z,T_a] : % 199.27/199.76 ( class_Fields_Ofield(T_a) % 199.27/199.76 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => 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) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_add__frac__eq,axiom, % 199.27/199.76 ! [V_w,V_x,V_z,V_y,T_a] : % 199.27/199.76 ( class_Fields_Ofield(T_a) % 199.27/199.76 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => 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)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_diff__frac__eq,axiom, % 199.27/199.76 ! [V_w,V_x,V_z,V_y,T_a] : % 199.27/199.76 ( class_Fields_Ofield(T_a) % 199.27/199.76 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => 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)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__diff__eq__iff,axiom, % 199.27/199.76 ! [V_y,V_x,V_z,T_a] : % 199.27/199.76 ( class_Fields_Ofield(T_a) % 199.27/199.76 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => 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) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_diff__divide__eq__iff,axiom, % 199.27/199.76 ! [V_y,V_x,V_z,T_a] : % 199.27/199.76 ( class_Fields_Ofield(T_a) % 199.27/199.76 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 199.27/199.76 => 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) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_less__half__sum,axiom, % 199.27/199.76 ! [V_b,V_a,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.27/199.76 => 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))))) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_gt__half__sum,axiom, % 199.27/199.76 ! [V_b,V_a,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 199.27/199.76 => 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)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_abs__div__pos,axiom, % 199.27/199.76 ! [V_x,V_y,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.27/199.76 => 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)) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__left__mono__neg,axiom, % 199.27/199.76 ! [V_c,V_b,V_a,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 199.27/199.76 => ( 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))) % 199.27/199.76 => 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))) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_divide__left__mono,axiom, % 199.27/199.76 ! [V_c,V_a,V_b,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 199.27/199.76 => ( 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))) % 199.27/199.76 => 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))) ) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_neg__divide__le__eq,axiom, % 199.27/199.76 ! [V_a_2,V_ba_2,V_ca_2,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)),V_a_2)) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_ba_2)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_neg__le__divide__eq,axiom, % 199.27/199.76 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2))) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_mult__imp__le__div__pos,axiom, % 199.27/199.76 ! [V_x,V_z,V_y,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.27/199.76 => ( 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)) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_mult__imp__div__pos__le,axiom, % 199.27/199.76 ! [V_z,V_x,V_y,T_a] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_a) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 199.27/199.76 => ( 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))) % 199.27/199.76 => 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)) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_pos__divide__le__eq,axiom, % 199.27/199.76 ! [V_a_2,V_ba_2,V_ca_2,T_b] : % 199.27/199.76 ( class_Fields_Olinordered__field(T_b) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 199.27/199.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2)),V_a_2)) % 199.27/199.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_Nitpick_Orefl_H__def,axiom, % 199.27/199.76 ! [V_r_2,T_b] : % 199.27/199.76 ( c_Nitpick_Orefl_H(T_b,V_r_2) % 199.27/199.76 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_posDivAlg__eqn__1__number__of,axiom, % 199.27/199.76 ! [V_w] : % 199.27/199.76 ( 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))) % 199.27/199.76 => ( ( 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))) % 199.27/199.76 => 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)) ) % 199.27/199.76 & ( ~ 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))) % 199.27/199.76 => 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)))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_posDivAlg_Osimps,axiom, % 199.27/199.76 ! [V_b,V_a] : % 199.27/199.76 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 199.27/199.76 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.27/199.76 => 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) ) % 199.27/199.76 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 199.27/199.76 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.27/199.76 => 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))) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_posDivAlg__eqn,axiom, % 199.27/199.76 ! [V_a,V_b] : % 199.27/199.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 199.27/199.76 => 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) ) % 199.27/199.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 199.27/199.76 => 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))) ) ) ) ). % 199.27/199.76 % 199.27/199.76 fof(fact_posDivAlg__eqn__number__of,axiom, % 199.27/199.76 ! [V_w,V_v] : % 199.27/199.77 ( 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))) % 199.27/199.77 => ( ( 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))) % 199.27/199.77 => 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)) ) % 199.27/199.77 & ( ~ 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))) % 199.27/199.77 => 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)))) ) ) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_posDivAlg__0,axiom, % 199.27/199.77 ! [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)) ). % 199.27/199.77 % 199.27/199.77 fof(fact_posDivAlg__correct,axiom, % 199.27/199.77 ! [V_b,V_a] : % 199.27/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.27/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.77 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_posDivAlg__div__mod,axiom, % 199.27/199.77 ! [V_l,V_k] : % 199.27/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 199.27/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 199.27/199.77 => 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)) ) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_divmod__int__def,axiom, % 199.27/199.77 ! [V_b,V_a] : % 199.27/199.77 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.27/199.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.77 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) ) % 199.27/199.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.77 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.77 => 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)) ) % 199.27/199.77 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.77 => 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))) ) ) ) ) ) % 199.27/199.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.27/199.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.77 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) ) % 199.27/199.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.27/199.77 => 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))) ) ) ) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_divmod__nat__step,axiom, % 199.27/199.77 ! [V_m,V_n] : % 199.27/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.27/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 199.27/199.77 => 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)) ) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_negDivAlg_Opsimps,axiom, % 199.27/199.77 ! [V_ba_2,V_a_2] : % 199.27/199.77 ( 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_ba_2))) % 199.27/199.77 => ( ( ( 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_ba_2))) % 199.27/199.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.27/199.77 => c_Divides_OnegDivAlg(V_a_2,V_ba_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_ba_2)) ) % 199.27/199.77 & ( ~ ( 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_ba_2))) % 199.27/199.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.27/199.77 => c_Divides_OnegDivAlg(V_a_2,V_ba_2) = hAPP(c_Divides_Oadjust(V_ba_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_ba_2))) ) ) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_pdivmod__posDivAlg,axiom, % 199.27/199.77 ! [V_k,V_l] : % 199.27/199.77 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.77 => 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)) ) % 199.27/199.77 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.77 => 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)) ) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_accp_Osimps,axiom, % 199.27/199.77 ! [V_a_2,V_r_2,T_b] : % 199.27/199.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 199.27/199.77 <=> ! [B_x] : % 199.27/199.77 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 199.27/199.77 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_accp_Oequations,axiom, % 199.27/199.77 ! [V_a_2,V_r_2,T_b] : % 199.27/199.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 199.27/199.77 <=> ! [B_x] : % 199.27/199.77 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 199.27/199.77 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_accp__downward,axiom, % 199.27/199.77 ! [V_a_2,V_ba_2,V_r_2,T_b] : % 199.27/199.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_ba_2)) % 199.27/199.77 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_ba_2)) % 199.27/199.77 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_divmod__nat__zero,axiom, % 199.27/199.77 ! [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) ). % 199.27/199.77 % 199.27/199.77 fof(fact_accp__subset,axiom, % 199.27/199.77 ! [V_R2_2,V_R1_2,T_b] : % 199.27/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_R1_2),V_R2_2)) % 199.27/199.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_b,V_R2_2)),c_Wellfounded_Oaccp(T_b,V_R1_2))) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_divmod__nat__base,axiom, % 199.27/199.77 ! [V_n,V_m] : % 199.27/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 199.27/199.77 => 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) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_negateSnd__eq,axiom, % 199.27/199.77 ! [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)) ). % 199.27/199.77 % 199.27/199.77 fof(fact_divmod__nat__div__mod,axiom, % 199.27/199.77 ! [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)) ). % 199.27/199.77 % 199.27/199.77 fof(fact_divmod__int__rel__neg,axiom, % 199.27/199.77 ! [V_qr,V_b,V_a] : % 199.27/199.77 ( 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)) % 199.27/199.77 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_divmod__nat__if,axiom, % 199.27/199.77 ! [V_m_2,V_n_2] : % 199.27/199.77 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.27/199.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 199.27/199.77 => 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) ) % 199.27/199.77 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.27/199.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 199.27/199.77 => 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)) ) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_pdivmod__def,axiom, % 199.27/199.77 ! [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))) ). % 199.27/199.77 % 199.27/199.77 fof(fact_posDivAlg_Opsimps,axiom, % 199.27/199.77 ! [V_ba_2,V_a_2] : % 199.27/199.77 ( 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_ba_2))) % 199.27/199.77 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_ba_2)) % 199.27/199.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.27/199.77 => c_Divides_OposDivAlg(V_a_2,V_ba_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2) ) % 199.27/199.77 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_ba_2)) % 199.27/199.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.27/199.77 => c_Divides_OposDivAlg(V_a_2,V_ba_2) = hAPP(c_Divides_Oadjust(V_ba_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_ba_2))) ) ) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_norm__frac_Opsimps,axiom, % 199.27/199.77 ! [V_ba_2,V_a_2] : % 199.27/199.77 ( 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_ba_2))) % 199.27/199.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.77 => c_Nitpick_Onorm__frac(V_a_2,V_ba_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_ba_2)) ) % 199.27/199.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.27/199.77 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.77 | V_ba_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 199.27/199.77 => c_Nitpick_Onorm__frac(V_a_2,V_ba_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)) ) % 199.27/199.77 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.27/199.77 | V_ba_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 199.27/199.77 => c_Nitpick_Onorm__frac(V_a_2,V_ba_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_ba_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_ba_2))) ) ) ) ) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_negDivAlg_Opinduct,axiom, % 199.27/199.77 ! [V_Pa_2,V_a1_2,V_a0_2] : % 199.27/199.77 ( 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))) % 199.27/199.77 => ( ! [B_a,B_b] : % 199.27/199.77 ( 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))) % 199.27/199.77 => ( ( ~ ( 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))) % 199.27/199.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.27/199.77 => hBOOL(hAPP(hAPP(V_Pa_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))) ) % 199.27/199.77 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 199.27/199.77 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 199.27/199.77 % 199.27/199.77 fof(fact_divmod__nat__rel__mult2__eq,axiom, % 199.27/199.77 ! [V_c,V_r,V_q,V_b,V_a] : % 199.27/199.77 ( 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))) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 199.35/199.77 => 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)))) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_divmod__nat__rel__unique,axiom, % 199.35/199.77 ! [V_qr_H,V_qr,V_n,V_m] : % 199.35/199.77 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 199.35/199.77 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H)) % 199.35/199.77 => V_qr = V_qr_H ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_divmod__nat__eq,axiom, % 199.35/199.77 ! [V_qr,V_n,V_m] : % 199.35/199.77 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 199.35/199.77 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_divmod__nat__rel__divmod__nat,axiom, % 199.35/199.77 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_divmod__nat__def,axiom, % 199.35/199.77 ! [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)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_mod__eq,axiom, % 199.35/199.77 ! [V_r,V_q,V_n,V_m] : % 199.35/199.77 ( 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))) % 199.35/199.77 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_div__eq,axiom, % 199.35/199.77 ! [V_r,V_q,V_n,V_m] : % 199.35/199.77 ( 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))) % 199.35/199.77 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_divmod__nat__rel,axiom, % 199.35/199.77 ! [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)))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_divmod__nat__rel__add1__eq,axiom, % 199.35/199.77 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 199.35/199.77 ( 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))) % 199.35/199.77 => ( 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))) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 199.35/199.77 => 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)))) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_divmod__nat__rel__mult1__eq,axiom, % 199.35/199.77 ! [V_a,V_r,V_q,V_c,V_b] : % 199.35/199.77 ( 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))) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 199.35/199.77 => 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)))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_posDivAlg_Opinduct,axiom, % 199.35/199.77 ! [V_Pa_2,V_a1_2,V_a0_2] : % 199.35/199.77 ( 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))) % 199.35/199.77 => ( ! [B_a,B_b] : % 199.35/199.77 ( 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))) % 199.35/199.77 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b)) % 199.35/199.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 199.35/199.77 => hBOOL(hAPP(hAPP(V_Pa_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))) ) % 199.35/199.77 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 199.35/199.77 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_nat__gcd_Opsimps,axiom, % 199.35/199.77 ! [V_y_2,V_x_2] : % 199.35/199.77 ( 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))) % 199.35/199.77 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.77 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 ) % 199.35/199.77 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.77 => 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)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_divmod__int__pdivmod,axiom, % 199.35/199.77 ! [V_l_2,V_k_2] : % 199.35/199.77 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.35/199.77 => 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)) ) % 199.35/199.77 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.35/199.77 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.35/199.77 => 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) ) % 199.35/199.77 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.35/199.77 => 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)))) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom, % 199.35/199.77 ! [V_f_2,V_A_2,T_b] : % 199.35/199.77 ( ! [B_x] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.77 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 199.35/199.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sgn__sgn,axiom, % 199.35/199.77 ! [V_a,T_a] : % 199.35/199.77 ( class_Rings_Olinordered__idom(T_a) % 199.35/199.77 => 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) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sgn__0__0,axiom, % 199.35/199.77 ! [V_a_2,T_b] : % 199.35/199.77 ( class_Rings_Olinordered__idom(T_b) % 199.35/199.77 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 199.35/199.77 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sgn0,axiom, % 199.35/199.77 ! [T_a] : % 199.35/199.77 ( class_Groups_Osgn__if(T_a) % 199.35/199.77 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_apsnd__conv,axiom, % 199.35/199.77 ! [V_y_2,V_x_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),hAPP(V_f_2,V_y_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sgn__times,axiom, % 199.35/199.77 ! [V_b,V_a,T_a] : % 199.35/199.77 ( class_Rings_Olinordered__idom(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_apsnd__compose,axiom, % 199.35/199.77 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_x_2) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sgn__greater,axiom, % 199.35/199.77 ! [V_a_2,T_b] : % 199.35/199.77 ( class_Rings_Olinordered__idom(T_b) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Osgn__class_Osgn(T_b,V_a_2))) % 199.35/199.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sgn__less,axiom, % 199.35/199.77 ! [V_a_2,T_b] : % 199.35/199.77 ( class_Rings_Olinordered__idom(T_b) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Osgn__class_Osgn(T_b,V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 199.35/199.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_abs__sgn,axiom, % 199.35/199.77 ! [V_k,T_a] : % 199.35/199.77 ( class_Rings_Olinordered__idom(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_mult__sgn__abs,axiom, % 199.35/199.77 ! [V_x,T_a] : % 199.35/199.77 ( class_Rings_Olinordered__idom(T_a) % 199.35/199.77 => 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 ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_negateSnd__def,axiom, % 199.35/199.77 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sgn__1__pos,axiom, % 199.35/199.77 ! [V_a_2,T_b] : % 199.35/199.77 ( class_Rings_Olinordered__idom(T_b) % 199.35/199.77 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b) % 199.35/199.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sgn__pos,axiom, % 199.35/199.77 ! [V_a,T_a] : % 199.35/199.77 ( class_Rings_Olinordered__idom(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 199.35/199.77 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_zsgn__def,axiom, % 199.35/199.77 ! [V_i] : % 199.35/199.77 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.35/199.77 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 199.35/199.77 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.35/199.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 199.35/199.77 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 199.35/199.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 199.35/199.77 => 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)) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sgn__if,axiom, % 199.35/199.77 ! [V_x,T_a] : % 199.35/199.77 ( class_Groups_Osgn__if(T_a) % 199.35/199.77 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 199.35/199.77 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 199.35/199.77 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 199.35/199.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.35/199.77 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 199.35/199.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 199.35/199.77 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sgn__neg,axiom, % 199.35/199.77 ! [V_a,T_a] : % 199.35/199.77 ( class_Rings_Olinordered__idom(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 199.35/199.77 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sgn__1__neg,axiom, % 199.35/199.77 ! [V_a_2,T_b] : % 199.35/199.77 ( class_Rings_Olinordered__idom(T_b) % 199.35/199.77 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) % 199.35/199.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_divmod__int__code,axiom, % 199.35/199.77 ! [V_l_2,V_k_2] : % 199.35/199.77 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.35/199.77 => 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)) ) % 199.35/199.77 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.35/199.77 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.35/199.77 => 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) ) % 199.35/199.77 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 199.35/199.77 => 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)))) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_mod__pos__neg__1__number__of,axiom, % 199.35/199.77 ! [V_w] : % 199.35/199.77 ( 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))) % 199.35/199.77 => 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))))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_in__measure,axiom, % 199.35/199.77 ! [V_f_2,V_y_2,V_x_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2))) % 199.35/199.77 <=> 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))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_irrefl__def,axiom, % 199.35/199.77 ! [V_r_2,T_b] : % 199.35/199.77 ( c_Relation_Oirrefl(T_b,V_r_2) % 199.35/199.77 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_norm__frac_Opinduct,axiom, % 199.35/199.77 ! [V_Pa_2,V_a1_2,V_a0_2] : % 199.35/199.77 ( 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))) % 199.35/199.77 => ( ! [B_a,B_b] : % 199.35/199.77 ( 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))) % 199.35/199.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.35/199.77 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) ) % 199.35/199.77 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 199.35/199.77 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_snd__conv,axiom, % 199.35/199.77 ! [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 ). % 199.35/199.77 % 199.35/199.77 fof(fact_snd__eqD,axiom, % 199.35/199.77 ! [V_a,V_y,V_x,T_a,T_b] : % 199.35/199.77 ( 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 % 199.35/199.77 => V_y = V_a ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_apsnd__eq__conv,axiom, % 199.35/199.77 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] : % 199.35/199.77 ( hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_g_2),V_x_2) % 199.35/199.77 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_snd__apsnd,axiom, % 199.35/199.77 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_snd__def,axiom, % 199.35/199.77 ! [V_p_2,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_b),hAPP(c_COMBK(tc_fun(T_b,T_b),T_c),c_COMBI(T_b))),V_p_2) ). % 199.35/199.77 % 199.35/199.77 fof(fact_mod__int__def,axiom, % 199.35/199.77 ! [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)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_mod__neg__pos,axiom, % 199.35/199.77 ! [V_b,V_a] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.35/199.77 => 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)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_mod__pos__pos,axiom, % 199.35/199.77 ! [V_b,V_a] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.35/199.77 => 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)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_mod__pos__pos__1__number__of,axiom, % 199.35/199.77 ! [V_w] : % 199.35/199.77 ( 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))) % 199.35/199.77 => 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))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_mod__pos__neg,axiom, % 199.35/199.77 ! [V_b,V_a] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.35/199.77 => 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)))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_mod__neg__neg,axiom, % 199.35/199.77 ! [V_b,V_a] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.35/199.77 => 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)))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_div__pos__neg__1__number__of,axiom, % 199.35/199.77 ! [V_w] : % 199.35/199.77 ( 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))) % 199.35/199.77 => 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))))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_nat__gcd_Opinduct,axiom, % 199.35/199.77 ! [V_Pa_2,V_a1_2,V_a0_2] : % 199.35/199.77 ( 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))) % 199.35/199.77 => ( ! [B_x,B_y] : % 199.35/199.77 ( 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))) % 199.35/199.77 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.77 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) ) % 199.35/199.77 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) ) % 199.35/199.77 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inv__image__def,axiom, % 199.35/199.77 ! [V_f_2,V_r_2,T_b,T_c] : hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_c,T_c)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_c),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_c)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),T_b),c_COMBB(T_c,tc_prod(T_c,T_c),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_prod(T_c,T_c)),T_b),c_Product__Type_OPair(T_c,T_c)),V_f_2))),V_f_2)))),V_r_2))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_subset__equiv__class,axiom, % 199.35/199.77 ! [V_a_2,V_ba_2,V_r_2,V_A_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_A_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_prod__eqI,axiom, % 199.35/199.77 ! [V_q,V_p,T_b,T_a] : % 199.35/199.77 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q) % 199.35/199.77 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q) % 199.35/199.77 => V_p = V_q ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Pair__fst__snd__eq,axiom, % 199.35/199.77 ! [T_c,T_b,V_t_2,V_s_2] : % 199.35/199.77 ( V_s_2 = V_t_2 % 199.35/199.77 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2) % 199.35/199.77 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_fst__eqD,axiom, % 199.35/199.77 ! [V_a,V_y,V_x,T_b,T_a] : % 199.35/199.77 ( 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 % 199.35/199.77 => V_x = V_a ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_fst__conv,axiom, % 199.35/199.77 ! [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 ). % 199.35/199.77 % 199.35/199.77 fof(fact_fst__apsnd,axiom, % 199.35/199.77 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_b,T_d),V_x_2) ). % 199.35/199.77 % 199.35/199.77 fof(fact_fst__def,axiom, % 199.35/199.77 ! [V_p_2,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_b),c_COMBK(T_b,T_c)),V_p_2) ). % 199.35/199.77 % 199.35/199.77 fof(fact_pair__collapse,axiom, % 199.35/199.77 ! [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 ). % 199.35/199.77 % 199.35/199.77 fof(fact_surjective__pairing,axiom, % 199.35/199.77 ! [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)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_prod__case__beta,axiom, % 199.35/199.77 ! [V_p_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_div__int__def,axiom, % 199.35/199.77 ! [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)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_mod__nat__def,axiom, % 199.35/199.77 ! [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)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_split__beta,axiom, % 199.35/199.77 ! [V_z_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_Pa_2),V_z_2) = hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_split__comp__eq,axiom, % 199.35/199.77 ! [V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),tc_prod(T_b,T_c)),V_f_2),hAPP(hAPP(c_COMBB(T_b,T_e,tc_prod(T_b,T_c)),V_g_2),c_Product__Type_Ofst(T_b,T_c)))),c_Product__Type_Osnd(T_b,T_c)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),T_b),V_f_2),V_g_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_split__def,axiom, % 199.35/199.77 ! [V_p_2,V_ca_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_ca_2),V_p_2) = hAPP(hAPP(V_ca_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_split__comp,axiom, % 199.35/199.77 ! [V_x_2,V_g_2,V_f_2,T_e,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),hAPP(c_Fun_Ocomp(T_e,tc_fun(T_d,T_b),T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_in__inv__image,axiom, % 199.35/199.77 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2))) % 199.35/199.77 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_The__split,axiom, % 199.35/199.77 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_div__neg__pos,axiom, % 199.35/199.77 ! [V_b,V_a] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.35/199.77 => 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)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_equiv__class__self,axiom, % 199.35/199.77 ! [V_a_2,V_r_2,V_A_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_div__pos__pos,axiom, % 199.35/199.77 ! [V_b,V_a] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 199.35/199.77 => 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)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_equiv__class__eq,axiom, % 199.35/199.77 ! [V_ba_2,V_a_2,V_r_2,V_A_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) % 199.35/199.77 => hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_quotient__eq__iff,axiom, % 199.35/199.77 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 199.35/199.77 => ( V_X_2 = V_Y_2 % 199.35/199.77 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_quotient__eqI,axiom, % 199.35/199.77 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 199.35/199.77 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_div__pos__pos__1__number__of,axiom, % 199.35/199.77 ! [V_w] : % 199.35/199.77 ( 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))) % 199.35/199.77 => 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))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_div__pos__neg,axiom, % 199.35/199.77 ! [V_b,V_a] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.35/199.77 => 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)))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_equiv__class__eq__iff,axiom, % 199.35/199.77 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 199.35/199.77 <=> ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 199.35/199.77 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_eq__equiv__class__iff,axiom, % 199.35/199.77 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 199.35/199.77 => ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 199.35/199.77 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_eq__equiv__class,axiom, % 199.35/199.77 ! [V_A_2,V_ba_2,V_a_2,V_r_2,T_b] : % 199.35/199.77 ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 199.35/199.77 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_A_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_equiv__class__subset,axiom, % 199.35/199.77 ! [V_ba_2,V_a_2,V_r_2,V_A_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_eq__equiv__class__iff2,axiom, % 199.35/199.77 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 199.35/199.77 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) % 199.35/199.77 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_div__neg__neg,axiom, % 199.35/199.77 ! [V_b,V_a] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.35/199.77 => 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)))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_prod__size__simp,axiom, % 199.35/199.77 ! [V_p_2,V_g_2,V_f_2,T_c,T_b] : c_Product__Type_Oprod_Oprod__size(T_b,T_c,V_f_2,V_g_2,V_p_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_UN__equiv__class2,axiom, % 199.35/199.77 ! [V_a2_2,V_a1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 199.35/199.77 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 199.35/199.77 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2)) % 199.35/199.77 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_UN__equiv__class,axiom, % 199.35/199.77 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.77 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_exI__realizer,axiom, % 199.35/199.77 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_div__nat__def,axiom, % 199.35/199.77 ! [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)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_congruent2__implies__congruent,axiom, % 199.35/199.77 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2) % 199.35/199.77 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.77 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_congruent2D,axiom, % 199.35/199.77 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_d,T_c,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y1_2),V_z1_2)),V_r1_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y2_2),V_z2_2)),V_r2_2)) % 199.35/199.77 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_congruentD,axiom, % 199.35/199.77 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_r_2)) % 199.35/199.77 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_congruent2__implies__congruent__UN,axiom, % 199.35/199.77 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 199.35/199.77 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 199.35/199.77 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2)) % 199.35/199.77 => c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_d,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_divmod__nat__rel__def,axiom, % 199.35/199.77 ! [V_qr_2,V_n_2,V_m_2] : % 199.35/199.77 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2)) % 199.35/199.77 <=> ( 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)) % 199.35/199.77 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.77 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.35/199.77 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 199.35/199.77 => ( 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))) % 199.35/199.77 & 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)) ) ) % 199.35/199.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 199.35/199.77 => ( 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))) % 199.35/199.77 & 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))) ) ) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_conjI__realizer,axiom, % 199.35/199.77 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_Pa_2] : % 199.35/199.77 ( hBOOL(hAPP(V_Pa_2,V_p_2)) % 199.35/199.77 => ( hBOOL(hAPP(V_Q_2,V_q_2)) % 199.35/199.77 => ( hBOOL(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) % 199.35/199.77 & hBOOL(hAPP(V_Q_2,hAPP(c_Product__Type_Osnd(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_UN__equiv__class__inject,axiom, % 199.35/199.77 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.77 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 199.35/199.77 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_Y_2),V_f_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 199.35/199.77 => ( ! [B_x] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.77 => ! [B_y] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 199.35/199.77 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) ) ) ) % 199.35/199.77 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_UN__equiv__class__type2,axiom, % 199.35/199.77 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 199.35/199.77 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 199.35/199.77 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A1_2),V_r1_2))) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A2_2),V_r2_2))) % 199.35/199.77 => ( ! [B_x1] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2)) % 199.35/199.77 => ! [B_x2] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) ) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_UN__equiv__class__type,axiom, % 199.35/199.77 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.77 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 199.35/199.77 => ( ! [B_x] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) ) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_rp__inv__image__def,axiom, % 199.35/199.77 ! [T_c,T_b] : c_FunDef_Orp__inv__image(T_b,T_c) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBS(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(T_c,T_b)),c_Product__Type_OPair(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),c_Relation_Oinv__image(T_b,T_c))))),c_Relation_Oinv__image(T_b,T_c))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_mlex__leq,axiom, % 199.35/199.77 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 199.35/199.77 ( 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))) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_mlex__less,axiom, % 199.35/199.77 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 199.35/199.77 ( 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))) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_prod_Orecs,axiom, % 199.35/199.77 ! [V_ba_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Product__Type_Oprod_Oprod__rec(T_c,T_d,T_b,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_ba_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_ba_2) ). % 199.35/199.77 % 199.35/199.77 fof(fact_add__Max__commute,axiom, % 199.35/199.77 ! [V_k_2,V_N_2,T_b] : % 199.35/199.77 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.35/199.77 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Max_Osingleton,axiom, % 199.35/199.77 ! [V_x_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Max__ge,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2))) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Max__in,axiom, % 199.35/199.77 ! [V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Max__mono,axiom, % 199.35/199.77 ! [V_N_2,V_M_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 199.35/199.77 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2))) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_minus__Max__eq__Min,axiom, % 199.35/199.77 ! [V_S_2,T_b] : % 199.35/199.77 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.35/199.77 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_minus__Min__eq__Max,axiom, % 199.35/199.77 ! [V_S_2,T_b] : % 199.35/199.77 ( class_Groups_Olinordered__ab__group__add(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.35/199.77 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup__Inf1__distrib,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup__Inf2__distrib,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omax(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_equiv__class__nondisjoint,axiom, % 199.35/199.77 ! [V_ba_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_in__lex__prod,axiom, % 199.35/199.77 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_ba_2,V_a_2,T_c,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_b,T_c,V_r_2,V_s_2))) % 199.35/199.77 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_H_2)),V_r_2)) % 199.35/199.77 | ( V_a_2 = V_a_H_2 % 199.35/199.77 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_ba_2),V_b_H_2)),V_s_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf1I,axiom, % 199.35/199.77 ! [T_b,V_B_2,V_x_2,V_A_2] : % 199.35/199.77 ( hBOOL(hAPP(V_A_2,V_x_2)) % 199.35/199.77 => ( hBOOL(hAPP(V_B_2,V_x_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf1E,axiom, % 199.35/199.77 ! [V_x_2,V_B_2,V_A_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 199.35/199.77 => ~ ( hBOOL(hAPP(V_A_2,V_x_2)) % 199.35/199.77 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_IntE,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.35/199.77 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.35/199.77 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_IntI,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_finite__Int,axiom, % 199.35/199.77 ! [V_Ga_2,V_F_2,T_b] : % 199.35/199.77 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.35/199.77 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) % 199.35/199.77 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__fun__def,axiom, % 199.35/199.77 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom, % 199.35/199.77 ! [T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom, % 199.35/199.77 ! [V_B_2,V_A_2] : % 199.35/199.77 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.35/199.77 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.35/199.77 => 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)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__lower1,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__lower2,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__absorb2,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__absorb1,axiom, % 199.35/199.77 ! [V_A_2,V_B_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__greatest,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_C_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__mono,axiom, % 199.35/199.77 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_le__infE,axiom, % 199.35/199.77 ! [V_b,V_a,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => ( 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))) % 199.35/199.77 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 199.35/199.77 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__mono,axiom, % 199.35/199.77 ! [V_d,V_b,V_c,V_a,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 199.35/199.77 => 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))) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__greatest,axiom, % 199.35/199.77 ! [V_z,V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 199.35/199.77 => 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))) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_le__infI,axiom, % 199.35/199.77 ! [V_b,V_a,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 199.35/199.77 => 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))) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__absorb2,axiom, % 199.35/199.77 ! [V_x,V_y,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__absorb1,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_le__infI2,axiom, % 199.35/199.77 ! [V_a,V_x,V_b,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 199.35/199.77 => 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)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_le__infI1,axiom, % 199.35/199.77 ! [V_b,V_x,V_a,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 199.35/199.77 => 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)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_le__inf__iff,axiom, % 199.35/199.77 ! [V_z_2,V_y_2,V_x_2,T_b] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_b) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_y_2),V_z_2))) % 199.35/199.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.35/199.77 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_le__iff__inf,axiom, % 199.35/199.77 ! [V_y_2,V_x_2,T_b] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_b) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.35/199.77 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__le2,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__sup__ord_I2_J,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Olattice(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__le1,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__sup__ord_I1_J,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Olattice(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_le__max__iff__disj,axiom, % 199.35/199.77 ! [V_y_2,V_x_2,V_z_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2))) % 199.35/199.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2)) % 199.35/199.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Ole__supE,axiom, % 199.35/199.77 ! [V_x,V_b,V_a,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => ( 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)) % 199.35/199.77 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 199.35/199.77 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup__mono,axiom, % 199.35/199.77 ! [V_d,V_b,V_c,V_a,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 199.35/199.77 => 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))) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup__least,axiom, % 199.35/199.77 ! [V_z,V_x,V_y,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 199.35/199.77 => 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)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Ole__supI,axiom, % 199.35/199.77 ! [V_b,V_x,V_a,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 199.35/199.77 => 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)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup__absorb1,axiom, % 199.35/199.77 ! [V_x,V_y,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.35/199.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup__absorb2,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.35/199.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Ole__supI2,axiom, % 199.35/199.77 ! [V_a,V_b,V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 199.35/199.77 => 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))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Ole__supI1,axiom, % 199.35/199.77 ! [V_b,V_a,V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 199.35/199.77 => 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))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Ole__sup__iff,axiom, % 199.35/199.77 ! [V_z_2,V_y_2,V_x_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2)) % 199.35/199.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 199.35/199.77 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Ole__iff__sup,axiom, % 199.35/199.77 ! [V_y_2,V_x_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.35/199.77 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_le__maxI2,axiom, % 199.35/199.77 ! [V_x,V_y,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_le__maxI1,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__bot__left,axiom, % 199.35/199.77 ! [V_x,T_a] : % 199.35/199.77 ( class_Lattices_Obounded__lattice__bot(T_a) % 199.35/199.77 => 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) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__bot__right,axiom, % 199.35/199.77 ! [V_x,T_a] : % 199.35/199.77 ( class_Lattices_Obounded__lattice__bot(T_a) % 199.35/199.77 => 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) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__empty__left,axiom, % 199.35/199.77 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__empty__right,axiom, % 199.35/199.77 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_disjoint__iff__not__equal,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : % 199.35/199.77 ( 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)) % 199.35/199.77 <=> ! [B_x] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.77 => ! [B_xa] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2)) % 199.35/199.77 => B_x != B_xa ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Diff__Int2,axiom, % 199.35/199.77 ! [V_B_2,V_C_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Diff__Int__distrib2,axiom, % 199.35/199.77 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__Diff,axiom, % 199.35/199.77 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Diff__Int__distrib,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_C_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_max__add__distrib__left,axiom, % 199.35/199.77 ! [V_z,V_y,V_x,T_a] : % 199.35/199.77 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_max__0R,axiom, % 199.35/199.77 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ). % 199.35/199.77 % 199.35/199.77 fof(fact_max__0L,axiom, % 199.35/199.77 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 199.35/199.77 % 199.35/199.77 fof(fact_max__Suc__Suc,axiom, % 199.35/199.77 ! [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)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup_Oidem,axiom, % 199.35/199.77 ! [V_a,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf_Oidem,axiom, % 199.35/199.77 ! [V_a,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__idem,axiom, % 199.35/199.77 ! [V_x,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup_Ocommute,axiom, % 199.35/199.77 ! [V_b,V_a,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup__commute,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf_Ocommute,axiom, % 199.35/199.77 ! [V_b,V_a,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => 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) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__sup__aci_I1_J,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Olattice(T_a) % 199.35/199.77 => 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) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__commute,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => 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) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup_Oleft__idem,axiom, % 199.35/199.77 ! [V_b,V_a,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup__left__idem,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf_Oleft__idem,axiom, % 199.35/199.77 ! [V_b,V_a,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => 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) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__sup__aci_I4_J,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Olattice(T_a) % 199.35/199.77 => 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) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__left__idem,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => 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) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup_Oleft__commute,axiom, % 199.35/199.77 ! [V_c,V_a,V_b,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup__left__commute,axiom, % 199.35/199.77 ! [V_z,V_y,V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf_Oleft__commute,axiom, % 199.35/199.77 ! [V_c,V_a,V_b,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__sup__aci_I3_J,axiom, % 199.35/199.77 ! [V_z,V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Olattice(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__left__commute,axiom, % 199.35/199.77 ! [V_z,V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup_Oassoc,axiom, % 199.35/199.77 ! [V_c,V_b,V_a,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup__assoc,axiom, % 199.35/199.77 ! [V_z,V_y,V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf_Oassoc,axiom, % 199.35/199.77 ! [V_c,V_b,V_a,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__sup__aci_I2_J,axiom, % 199.35/199.77 ! [V_z,V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Olattice(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__assoc,axiom, % 199.35/199.77 ! [V_z,V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__apply,axiom, % 199.35/199.77 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__absorb,axiom, % 199.35/199.77 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__commute,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__left__absorb,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__left__commute,axiom, % 199.35/199.77 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__assoc,axiom, % 199.35/199.77 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf1D1,axiom, % 199.35/199.77 ! [V_x_2,V_B_2,V_A_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 199.35/199.77 => hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf1D2,axiom, % 199.35/199.77 ! [V_x_2,V_B_2,V_A_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 199.35/199.77 => hBOOL(hAPP(V_B_2,V_x_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Oless__supI1,axiom, % 199.35/199.77 ! [V_b,V_a,V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 199.35/199.77 => 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))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Oless__supI2,axiom, % 199.35/199.77 ! [V_a,V_b,V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 199.35/199.77 => 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))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_max__less__iff__conj,axiom, % 199.35/199.77 ! [V_z_2,V_y_2,V_x_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2)) % 199.35/199.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 199.35/199.77 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_less__max__iff__disj,axiom, % 199.35/199.77 ! [V_y_2,V_x_2,V_z_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2))) % 199.35/199.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 199.35/199.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_less__infI1,axiom, % 199.35/199.77 ! [V_b,V_x,V_a,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 199.35/199.77 => 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)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_less__infI2,axiom, % 199.35/199.77 ! [V_a,V_x,V_b,T_a] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_a) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 199.35/199.77 => 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)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Pow__Int__eq,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_insert__inter__insert,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Max_Oidem,axiom, % 199.35/199.77 ! [V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Inf__fin_Oidem,axiom, % 199.35/199.77 ! [V_x,T_a] : % 199.35/199.77 ( class_Lattices_Olattice(T_a) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_max__diff__distrib__left,axiom, % 199.35/199.77 ! [V_z,V_y,V_x,T_a] : % 199.35/199.77 ( class_Groups_Oordered__ab__group__add(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__min,axiom, % 199.35/199.77 ! [T_b] : % 199.35/199.77 ( ( class_Lattices_Osemilattice__inf(T_b) % 199.35/199.77 & class_Orderings_Olinorder(T_b) ) % 199.35/199.77 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup__inf__absorb,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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 ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Oinf__sup__absorb,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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 ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup__inf__distrib1,axiom, % 199.35/199.77 ! [V_z,V_y,V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Oinf__sup__distrib1,axiom, % 199.35/199.77 ! [V_z,V_y,V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup__inf__distrib2,axiom, % 199.35/199.77 ! [V_x,V_z,V_y,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Oinf__sup__distrib2,axiom, % 199.35/199.77 ! [V_x,V_z,V_y,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__greaterThanLessThan,axiom, % 199.35/199.77 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_a_2,V_ba_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_ba_2),V_d_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inj__on__Int,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.35/199.77 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.35/199.77 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 199.35/199.77 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_IntD2,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_IntD1,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__iff,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.35/199.77 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.35/199.77 & hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_fun__left__comm__idem__inf,axiom, % 199.35/199.77 ! [T_b] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_b) % 199.35/199.77 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__Int__eq,axiom, % 199.35/199.77 ! [V_x_2,V_S_2,V_R_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2)) % 199.35/199.77 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Collect__conj__eq,axiom, % 199.35/199.77 ! [V_Q_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_UN__simps_I5_J,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_UN__simps_I4_J,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 199.35/199.77 % 199.35/199.77 fof(fact_UN__extend__simps_I5_J,axiom, % 199.35/199.77 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__UN__distrib,axiom, % 199.35/199.77 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_UN__extend__simps_I4_J,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__UN__distrib2,axiom, % 199.35/199.77 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_max__number__of,axiom, % 199.35/199.77 ! [V_v,V_u,T_b] : % 199.35/199.77 ( ( class_Int_Onumber(T_b) % 199.35/199.77 & class_Orderings_Oord(T_b) ) % 199.35/199.77 => ( ( 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))) % 199.35/199.77 => 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) ) % 199.35/199.77 & ( ~ 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))) % 199.35/199.77 => 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) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_compl__inf__bot,axiom, % 199.35/199.77 ! [V_x,T_a] : % 199.35/199.77 ( class_Lattices_Oboolean__algebra(T_a) % 199.35/199.77 => 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) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__compl__bot,axiom, % 199.35/199.77 ! [V_x,T_a] : % 199.35/199.77 ( class_Lattices_Oboolean__algebra(T_a) % 199.35/199.77 => 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) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_diff__eq,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Oboolean__algebra(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Odistrib__sup__le,axiom, % 199.35/199.77 ! [V_z,V_y,V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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)))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Odistrib__inf__le,axiom, % 199.35/199.77 ! [V_z,V_y,V_x,T_a] : % 199.35/199.77 ( class_Orderings_Olinorder(T_a) % 199.35/199.77 => 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)))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_minus__min__eq__max,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Groups_Olinordered__ab__group__add(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_minus__max__eq__min,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Groups_Olinordered__ab__group__add(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__insert__left__if1,axiom, % 199.35/199.77 ! [V_B_2,V_C_2,V_a_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__insert__right__if1,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_a_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__insert__left__if0,axiom, % 199.35/199.77 ! [V_B_2,V_C_2,V_a_2,T_b] : % 199.35/199.77 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__insert__right__if0,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_a_2,T_b] : % 199.35/199.77 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__insert__left,axiom, % 199.35/199.77 ! [V_B_2,V_C_2,V_a_2,T_b] : % 199.35/199.77 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) % 199.35/199.77 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__insert__right,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_a_2,T_b] : % 199.35/199.77 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 199.35/199.77 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_nat__minus__add__max,axiom, % 199.35/199.77 ! [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) ). % 199.35/199.77 % 199.35/199.77 fof(fact_image__Int__subset,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Diff__triv,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : % 199.35/199.77 ( 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)) % 199.35/199.77 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Diff__disjoint,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom, % 199.35/199.77 ! [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))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Compl__disjoint2,axiom, % 199.35/199.77 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Compl__disjoint,axiom, % 199.35/199.77 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Image__Int__subset,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Diff__eq,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Diff__Compl,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__Collect,axiom, % 199.35/199.77 ! [V_Pa_2,V_A_2,V_x_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))) % 199.35/199.77 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Int__def,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom, % 199.35/199.77 ! [V_B_2,V_A_2] : % 199.35/199.77 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.35/199.77 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.35/199.77 => 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))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_max__Suc1,axiom, % 199.35/199.77 ! [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) ). % 199.35/199.77 % 199.35/199.77 fof(fact_max__Suc2,axiom, % 199.35/199.77 ! [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) ). % 199.35/199.77 % 199.35/199.77 fof(fact_fold__inf__insert,axiom, % 199.35/199.77 ! [V_a_2,V_ba_2,V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_ba_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_ba_2),V_A_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_max__ord__max,axiom, % 199.35/199.77 ! [T_b] : % 199.35/199.77 ( class_Orderings_Oord(T_b) % 199.35/199.77 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Ofold__sup__insert,axiom, % 199.35/199.77 ! [V_a_2,V_ba_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_ba_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_ba_2),V_A_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Max_Oin__idem,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inj__on__image__Int,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 199.35/199.77 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.35/199.77 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_disjoint__eq__subset__Compl,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : % 199.35/199.77 ( 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)) % 199.35/199.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Max_OF__eq,axiom, % 199.35/199.77 ! [V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_dual__min,axiom, % 199.35/199.77 ! [T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => c_Orderings_Oord_Omin(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omax(T_b) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_fold__inf__le__inf,axiom, % 199.35/199.77 ! [V_ba_2,V_a_2,V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_ba_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_ba_2))) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup__le__fold__sup,axiom, % 199.35/199.77 ! [V_ba_2,V_a_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ba_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_ba_2),V_A_2))) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_fold1__belowI,axiom, % 199.35/199.77 ! [V_a_2,V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)),V_a_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_below__fold1__iff,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Osemilattice__inf(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2))) % 199.35/199.77 <=> ! [B_x] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Max__insert,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Max_Osubset__idem,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Osup__Inf__absorb,axiom, % 199.35/199.77 ! [V_a_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = V_a_2 ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Max_Oeq__fold__idem_H,axiom, % 199.35/199.77 ! [V_a_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_card__Diff__subset__Int,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.35/199.77 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_quotient__disj,axiom, % 199.35/199.77 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 199.35/199.77 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 199.35/199.77 => ( V_X_2 = V_Y_2 % 199.35/199.77 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Max_Oinsert,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Max_Oinsert__remove,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 199.35/199.77 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Max_Oeq__fold_H,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Max_Oremove,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) % 199.35/199.77 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_max__number__of__Suc,axiom, % 199.35/199.77 ! [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)))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_max__Suc__number__of,axiom, % 199.35/199.77 ! [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)))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_same__fstI,axiom, % 199.35/199.77 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] : % 199.35/199.77 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2))) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Oinf__Sup2__distrib,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omin(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Oinf__Sup1__distrib,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Max_Oclosed,axiom, % 199.35/199.77 ! [V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__nat__def,axiom, % 199.35/199.77 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__Int__eq2,axiom, % 199.35/199.77 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2)) % 199.35/199.77 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_OSup__fin_Oin__idem,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_OSup__fin_Osingleton,axiom, % 199.35/199.77 ! [V_x_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_OSup__fin_OF__eq,axiom, % 199.35/199.77 ! [V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_OSup__fin_Osubset__idem,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_Oinf__Sup__absorb,axiom, % 199.35/199.77 ! [V_a_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = V_a_2 ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom, % 199.35/199.77 ! [V_a_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_OSup__fin_Oinsert,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 199.35/199.77 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_OSup__fin_Oremove,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 ) % 199.35/199.77 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_OInf__le__Sup,axiom, % 199.35/199.77 ! [V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2))) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_OSup__fin_Oclosed,axiom, % 199.35/199.77 ! [V_A_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),V_A_2)) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__Sup2__distrib,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Odistrib__lattice(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__Sup1__distrib,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Odistrib__lattice(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Inf__fin_Oremove,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 ) % 199.35/199.77 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf2I,axiom, % 199.35/199.77 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf2E,axiom, % 199.35/199.77 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 199.35/199.77 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 199.35/199.77 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf2D1,axiom, % 199.35/199.77 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf2D2,axiom, % 199.35/199.77 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Inf__le__Sup,axiom, % 199.35/199.77 ! [V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2))) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Inf__fin_Osingleton,axiom, % 199.35/199.77 ! [V_x_2,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Sup__fin_Osingleton,axiom, % 199.35/199.77 ! [V_x_2,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__Sup__absorb,axiom, % 199.35/199.77 ! [V_a_2,V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = V_a_2 ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Inf__fin_Oin__idem,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Inf__fin_OF__eq,axiom, % 199.35/199.77 ! [V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Inf__fin_Oinsert__idem,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Inf__fin_Osubset__idem,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom, % 199.35/199.77 ! [V_a_2,V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_a_2),V_A_2) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Inf__fin_Oinsert,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Inf__fin_Oinsert__remove,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 199.35/199.77 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Inf__fin_Oeq__fold_H,axiom, % 199.35/199.77 ! [V_x_2,V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.77 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_x_2),V_A_2) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Inf__fin_Oclosed,axiom, % 199.35/199.77 ! [V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_nat__def,axiom, % 199.35/199.77 ! [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)))))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_apfst__apsnd,axiom, % 199.35/199.77 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_apsnd__apfst,axiom, % 199.35/199.77 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_e,T_d),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_e,T_d),V_x_2))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Rep__Integ__inject,axiom, % 199.35/199.77 ! [V_y_2,V_x_2] : % 199.35/199.77 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2) % 199.35/199.77 <=> V_x_2 = V_y_2 ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_apfst__conv,axiom, % 199.35/199.77 ! [V_y_2,V_x_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_x_2)),V_y_2) ). % 199.35/199.77 % 199.35/199.77 fof(fact_apfst__compose,axiom, % 199.35/199.77 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_d,T_c,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_e,V_f_2),V_g_2)),V_x_2) ). % 199.35/199.77 % 199.35/199.77 fof(fact_apfst__eq__conv,axiom, % 199.35/199.77 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] : % 199.35/199.77 ( hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_g_2),V_x_2) % 199.35/199.77 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_fst__apfst,axiom, % 199.35/199.77 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_snd__apfst,axiom, % 199.35/199.77 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_d,T_b),V_x_2) ). % 199.35/199.77 % 199.35/199.77 fof(fact_apsnd__apfst__commute,axiom, % 199.35/199.77 ! [V_p_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,V_g_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_e,V_f_2),V_p_2)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_pair__lessI2,axiom, % 199.35/199.77 ! [V_t_2,V_s_2,V_ba_2,V_a_2] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_ba_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2)) % 199.35/199.77 => 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_ba_2),V_t_2))),c_FunDef_Opair__less)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_OSup__fin_Ohom__commute,axiom, % 199.35/199.77 ! [V_N_2,V_h_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.35/199.77 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__max_OInf__fin_Ohom__commute,axiom, % 199.35/199.77 ! [V_N_2,V_h_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.35/199.77 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Max_Ohom__commute,axiom, % 199.35/199.77 ! [V_N_2,V_h_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.35/199.77 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_pair__lessI1,axiom, % 199.35/199.77 ! [V_t_2,V_s_2,V_ba_2,V_a_2] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_ba_2)) % 199.35/199.77 => 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_ba_2),V_t_2))),c_FunDef_Opair__less)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_pair__leqI2,axiom, % 199.35/199.77 ! [V_t_2,V_s_2,V_ba_2,V_a_2] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_ba_2)) % 199.35/199.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2)) % 199.35/199.77 => 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_ba_2),V_t_2))),c_FunDef_Opair__leq)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_smax__insertI,axiom, % 199.35/199.77 ! [V_X_2,V_x_2,V_Y_2,V_y_2] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2)) % 199.35/199.77 => ( 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)) % 199.35/199.77 => ( 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)) % 199.35/199.77 => 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)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_smin__insertI,axiom, % 199.35/199.77 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 199.35/199.77 => ( 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)) % 199.35/199.77 => ( 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)) % 199.35/199.77 => 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)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_pair__leqI1,axiom, % 199.35/199.77 ! [V_t_2,V_s_2,V_ba_2,V_a_2] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_ba_2)) % 199.35/199.77 => 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_ba_2),V_t_2))),c_FunDef_Opair__leq)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_smax__emptyI,axiom, % 199.35/199.77 ! [V_Y_2] : % 199.35/199.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2)) % 199.35/199.77 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 199.35/199.77 => 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)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_smin__emptyI,axiom, % 199.35/199.77 ! [V_X_2] : % 199.35/199.77 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_wmin__insertI,axiom, % 199.35/199.77 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 199.35/199.77 => ( 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)) % 199.35/199.77 => ( 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)) % 199.35/199.77 => 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)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_wmax__insertI,axiom, % 199.35/199.77 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2)) % 199.35/199.77 => ( 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)) % 199.35/199.77 => ( 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)) % 199.35/199.77 => 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)) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_wmax__emptyI,axiom, % 199.35/199.77 ! [V_X_2] : % 199.35/199.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2)) % 199.35/199.77 => 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_wmin__emptyI,axiom, % 199.35/199.77 ! [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)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__rpair__set,axiom, % 199.35/199.77 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)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_max__rpair__set,axiom, % 199.35/199.77 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)) ). % 199.35/199.77 % 199.35/199.77 fof(fact_equiv__intrel__iff,axiom, % 199.35/199.77 ! [V_y_2,V_x_2] : % 199.35/199.77 ( 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)))) % 199.35/199.77 <=> 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)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__strict__def,axiom, % 199.35/199.77 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 199.35/199.77 % 199.35/199.77 fof(fact_rp__inv__image__rp,axiom, % 199.35/199.77 ! [V_f_2,T_c,V_Pa_2,T_b] : % 199.35/199.77 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 199.35/199.77 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_intrel__iff,axiom, % 199.35/199.77 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 199.35/199.77 ( 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)) % 199.35/199.77 <=> 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) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_of__int,axiom, % 199.35/199.77 ! [V_j_2,V_i_2,T_b] : % 199.35/199.77 ( class_Rings_Oring__1(T_b) % 199.35/199.77 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_i_2),V_j_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_j_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_One__int__def,axiom, % 199.35/199.77 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))))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_mult,axiom, % 199.35/199.77 ! [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))))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_le,axiom, % 199.35/199.77 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 199.35/199.77 ( 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))))))) % 199.35/199.77 <=> 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))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Rep__Integ__inverse,axiom, % 199.35/199.77 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ). % 199.35/199.77 % 199.35/199.77 fof(fact_minus,axiom, % 199.35/199.77 ! [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))))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Zero__int__def,axiom, % 199.35/199.77 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))))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_int__def,axiom, % 199.35/199.77 ! [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))))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_add,axiom, % 199.35/199.77 ! [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))))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_nat,axiom, % 199.35/199.77 ! [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) ). % 199.35/199.77 % 199.35/199.77 fof(fact_minus__int__def,axiom, % 199.35/199.77 ! [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))))))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_less,axiom, % 199.35/199.77 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 199.35/199.77 ( 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))))))) % 199.35/199.77 <=> 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))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_eq__Abs__Integ,axiom, % 199.35/199.77 ! [V_z_2] : % 199.35/199.77 ~ ! [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))))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_min__weak__def,axiom, % 199.35/199.77 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)))) ). % 199.35/199.77 % 199.35/199.77 fof(fact_less__than__iff,axiom, % 199.35/199.77 ! [V_y_2,V_x_2] : % 199.35/199.77 ( 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)) % 199.35/199.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Min_Ohom__commute,axiom, % 199.35/199.77 ! [V_N_2,V_h_2,T_b] : % 199.35/199.77 ( class_Orderings_Olinorder(T_b) % 199.35/199.77 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.35/199.77 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sup1CI,axiom, % 199.35/199.77 ! [T_b,V_A_2,V_x_2,V_B_2] : % 199.35/199.77 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2)) % 199.35/199.77 => hBOOL(hAPP(V_A_2,V_x_2)) ) % 199.35/199.77 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sup1E,axiom, % 199.35/199.77 ! [V_x_2,V_B_2,V_A_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 199.35/199.77 => ( ~ hBOOL(hAPP(V_A_2,V_x_2)) % 199.35/199.77 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_UnCI,axiom, % 199.35/199.77 ! [V_A_2,V_B_2,V_ca_2,T_b] : % 199.35/199.77 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_UnE,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.35/199.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.35/199.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sup__bot__left,axiom, % 199.35/199.77 ! [V_x,T_a] : % 199.35/199.77 ( class_Lattices_Obounded__lattice__bot(T_a) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sup__bot__right,axiom, % 199.35/199.77 ! [V_x,T_a] : % 199.35/199.77 ( class_Lattices_Obounded__lattice__bot(T_a) % 199.35/199.77 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sup__eq__bot__iff,axiom, % 199.35/199.77 ! [V_y_2,V_x_2,T_b] : % 199.35/199.77 ( class_Lattices_Obounded__lattice__bot(T_b) % 199.35/199.77 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b) % 199.35/199.77 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b) % 199.35/199.77 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Un__empty__left,axiom, % 199.35/199.77 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ). % 199.35/199.77 % 199.35/199.77 fof(fact_Un__empty__right,axiom, % 199.35/199.77 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ). % 199.35/199.77 % 199.35/199.77 fof(fact_Un__empty,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : % 199.35/199.77 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_finite__UnI,axiom, % 199.35/199.77 ! [V_Ga_2,V_F_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) % 199.35/199.77 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_finite__Un,axiom, % 199.35/199.77 ! [V_Ga_2,V_F_2,T_b] : % 199.35/199.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) % 199.35/199.77 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.35/199.77 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_Sup__fin_Ounion__idem,axiom, % 199.35/199.77 ! [V_B_2,V_A_2,T_b] : % 199.35/199.77 ( class_Lattices_Olattice(T_b) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.77 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__sup__absorb,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Olattice(T_a) % 199.35/199.77 => 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 ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_sup__inf__absorb,axiom, % 199.35/199.77 ! [V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Olattice(T_a) % 199.35/199.77 => 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 ) ). % 199.35/199.77 % 199.35/199.77 fof(fact_inf__sup__distrib1,axiom, % 199.35/199.77 ! [V_z,V_y,V_x,T_a] : % 199.35/199.77 ( class_Lattices_Odistrib__lattice(T_a) % 199.35/199.77 => 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)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__inf__distrib1,axiom, % 199.35/199.78 ! [V_z,V_y,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Odistrib__lattice(T_a) % 199.35/199.78 => 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)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_inf__sup__distrib2,axiom, % 199.35/199.78 ! [V_x,V_z,V_y,T_a] : % 199.35/199.78 ( class_Lattices_Odistrib__lattice(T_a) % 199.35/199.78 => 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)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__inf__distrib2,axiom, % 199.35/199.78 ! [V_x,V_z,V_y,T_a] : % 199.35/199.78 ( class_Lattices_Odistrib__lattice(T_a) % 199.35/199.78 => 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)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Int__Un__distrib,axiom, % 199.35/199.78 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__Int__distrib,axiom, % 199.35/199.78 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Int__Un__distrib2,axiom, % 199.35/199.78 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__Int__distrib2,axiom, % 199.35/199.78 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__Int__crazy,axiom, % 199.35/199.78 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Collect__disj__eq,axiom, % 199.35/199.78 ! [V_Q_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_fun__left__comm__idem__sup,axiom, % 199.35/199.78 ! [T_b] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_b) % 199.35/199.78 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Sup__fin_Oidem,axiom, % 199.35/199.78 ! [V_x,T_a] : % 199.35/199.78 ( class_Lattices_Olattice(T_a) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_less__supI2,axiom, % 199.35/199.78 ! [V_a,V_b,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 199.35/199.78 => 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))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_less__supI1,axiom, % 199.35/199.78 ! [V_b,V_a,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 199.35/199.78 => 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))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup1I2,axiom, % 199.35/199.78 ! [V_A_2,T_b,V_x_2,V_B_2] : % 199.35/199.78 ( hBOOL(hAPP(V_B_2,V_x_2)) % 199.35/199.78 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup1I1,axiom, % 199.35/199.78 ! [V_B_2,T_b,V_x_2,V_A_2] : % 199.35/199.78 ( hBOOL(hAPP(V_A_2,V_x_2)) % 199.35/199.78 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ball__Un,axiom, % 199.35/199.78 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 199.35/199.78 ( ! [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.35/199.78 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.35/199.78 <=> ( ! [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.78 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.35/199.78 & ! [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 199.35/199.78 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_bex__Un,axiom, % 199.35/199.78 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 199.35/199.78 ( ? [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.35/199.78 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.35/199.78 <=> ( ? [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.78 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.35/199.78 | ? [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 199.35/199.78 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__assoc,axiom, % 199.35/199.78 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__left__commute,axiom, % 199.35/199.78 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__left__absorb,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__commute,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__absorb,axiom, % 199.35/199.78 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__apply,axiom, % 199.35/199.78 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__assoc,axiom, % 199.35/199.78 ! [V_z,V_y,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => 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)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_inf__sup__aci_I6_J,axiom, % 199.35/199.78 ! [V_z,V_y,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Olattice(T_a) % 199.35/199.78 => 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)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup_Oassoc,axiom, % 199.35/199.78 ! [V_c,V_b,V_a,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => 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)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__left__commute,axiom, % 199.35/199.78 ! [V_z,V_y,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => 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)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_inf__sup__aci_I7_J,axiom, % 199.35/199.78 ! [V_z,V_y,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Olattice(T_a) % 199.35/199.78 => 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)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup_Oleft__commute,axiom, % 199.35/199.78 ! [V_c,V_a,V_b,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => 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)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__left__idem,axiom, % 199.35/199.78 ! [V_y,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => 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) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_inf__sup__aci_I8_J,axiom, % 199.35/199.78 ! [V_y,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Olattice(T_a) % 199.35/199.78 => 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) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup_Oleft__idem,axiom, % 199.35/199.78 ! [V_b,V_a,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => 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) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__commute,axiom, % 199.35/199.78 ! [V_y,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => 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) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_inf__sup__aci_I5_J,axiom, % 199.35/199.78 ! [V_y,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Olattice(T_a) % 199.35/199.78 => 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) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup_Ocommute,axiom, % 199.35/199.78 ! [V_b,V_a,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => 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) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__idem,axiom, % 199.35/199.78 ! [V_x,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup_Oidem,axiom, % 199.35/199.78 ! [V_a,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__Diff__cancel,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__Diff__cancel2,axiom, % 199.35/199.78 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__Diff,axiom, % 199.35/199.78 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__Pow__subset,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_inf__sup__ord_I3_J,axiom, % 199.35/199.78 ! [V_y,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Olattice(T_a) % 199.35/199.78 => 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))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__ge1,axiom, % 199.35/199.78 ! [V_y,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => 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))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_inf__sup__ord_I4_J,axiom, % 199.35/199.78 ! [V_x,V_y,T_a] : % 199.35/199.78 ( class_Lattices_Olattice(T_a) % 199.35/199.78 => 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))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__ge2,axiom, % 199.35/199.78 ! [V_x,V_y,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => 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))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_le__iff__sup,axiom, % 199.35/199.78 ! [V_y_2,V_x_2,T_b] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.35/199.78 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_le__sup__iff,axiom, % 199.35/199.78 ! [V_z_2,V_y_2,V_x_2,T_b] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2)),V_z_2)) % 199.35/199.78 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 199.35/199.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_le__supI1,axiom, % 199.35/199.78 ! [V_b,V_a,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 199.35/199.78 => 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))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_le__supI2,axiom, % 199.35/199.78 ! [V_a,V_b,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 199.35/199.78 => 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))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__absorb2,axiom, % 199.35/199.78 ! [V_y,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__absorb1,axiom, % 199.35/199.78 ! [V_x,V_y,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_le__supI,axiom, % 199.35/199.78 ! [V_b,V_x,V_a,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 199.35/199.78 => 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)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__least,axiom, % 199.35/199.78 ! [V_z,V_x,V_y,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 199.35/199.78 => 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)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__mono,axiom, % 199.35/199.78 ! [V_d,V_b,V_c,V_a,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 199.35/199.78 => 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))) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_le__supE,axiom, % 199.35/199.78 ! [V_x,V_b,V_a,T_a] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_a) % 199.35/199.78 => ( 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)) % 199.35/199.78 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 199.35/199.78 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_image__Un,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__mono,axiom, % 199.35/199.78 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 199.35/199.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__least,axiom, % 199.35/199.78 ! [V_B_2,V_C_2,V_A_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.35/199.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__absorb2,axiom, % 199.35/199.78 ! [V_A_2,V_B_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__absorb1,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_subset__Un__eq,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.35/199.78 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__upper2,axiom, % 199.35/199.78 ! [V_A_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__upper1,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__fun__def,axiom, % 199.35/199.78 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__max,axiom, % 199.35/199.78 ! [T_b] : % 199.35/199.78 ( ( class_Lattices_Osemilattice__sup(T_b) % 199.35/199.78 & class_Orderings_Olinorder(T_b) ) % 199.35/199.78 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_UN__Un__distrib,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_UN__Un,axiom, % 199.35/199.78 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__insert__right,axiom, % 199.35/199.78 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__insert__left,axiom, % 199.35/199.78 ! [V_C_2,V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_UnI2,axiom, % 199.35/199.78 ! [V_A_2,V_B_2,V_ca_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) % 199.35/199.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_UnI1,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.35/199.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__iff,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.35/199.78 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.35/199.78 | hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__Un__eq,axiom, % 199.35/199.78 ! [V_x_2,V_S_2,V_R_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2)) % 199.35/199.78 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__Image,axiom, % 199.35/199.78 ! [V_A_2,V_S_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_S_2),V_A_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Image__Un,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Sup__fin_Ounion__inter,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Sup__fin_Ounion__disjoint,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_distrib__sup__le,axiom, % 199.35/199.78 ! [V_z,V_y,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Olattice(T_a) % 199.35/199.78 => 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)))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_distrib__inf__le,axiom, % 199.35/199.78 ! [V_z,V_y,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Olattice(T_a) % 199.35/199.78 => 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)))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_compl__inf,axiom, % 199.35/199.78 ! [V_y,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Oboolean__algebra(T_a) % 199.35/199.78 => 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)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_compl__sup,axiom, % 199.35/199.78 ! [V_y,V_x,T_a] : % 199.35/199.78 ( class_Lattices_Oboolean__algebra(T_a) % 199.35/199.78 => 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)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_insert__is__Un,axiom, % 199.35/199.78 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_A_2) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__Int__assoc__eq,axiom, % 199.35/199.78 ! [V_C_2,V_B_2,V_A_2,T_b] : % 199.35/199.78 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 199.35/199.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Diff__partition,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Diff__subset__conv,axiom, % 199.35/199.78 ! [V_C_2,V_B_2,V_A_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) % 199.35/199.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__Diff__Int,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ). % 199.35/199.78 % 199.35/199.78 fof(fact_Diff__Un,axiom, % 199.35/199.78 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Diff__Int,axiom, % 199.35/199.78 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_inj__on__Un__image__eq__iff,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.35/199.78 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) % 199.35/199.78 <=> V_A_2 = V_B_2 ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Compl__Int,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Compl__Un,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Compl__Diff__eq,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Un__def,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_UN__absorb,axiom, % 199.35/199.78 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_insert__def,axiom, % 199.35/199.78 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ). % 199.35/199.78 % 199.35/199.78 fof(fact_UN__simps_I3_J,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.35/199.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 199.35/199.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_UN__simps_I2_J,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.35/199.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 199.35/199.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_UN__extend__simps_I3_J,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.35/199.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 199.35/199.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_UN__extend__simps_I2_J,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.35/199.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 ) % 199.35/199.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_UN__insert,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Collect__imp__eq,axiom, % 199.35/199.78 ! [V_Q_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_Pa_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_folding__image__simple__idem_Ounion__idem,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.35/199.78 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_fold__sup__insert,axiom, % 199.35/199.78 ! [V_a_2,V_ba_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_ba_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_ba_2),V_A_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__Inf__absorb,axiom, % 199.35/199.78 ! [V_a_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = V_a_2 ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Sup__fin_Oin__idem,axiom, % 199.35/199.78 ! [V_x_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_pair__less__def,axiom, % 199.35/199.78 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Sup__fin_OF__eq,axiom, % 199.35/199.78 ! [V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_A_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__SUPR__fold__sup,axiom, % 199.35/199.78 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_if__image__distrib,axiom, % 199.35/199.78 ! [V_S_2,V_g_2,V_f_2,V_Pa_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_Pa_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_Pa_2))))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_folding__image__simple_Ounion__inter,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.35/199.78 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_folding__one__idem_Ounion__idem,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.35/199.78 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => 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)) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_folding__idem_Ounion__idem,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_measure__def,axiom, % 199.35/199.78 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__le__fold__sup,axiom, % 199.35/199.78 ! [V_ba_2,V_a_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Osemilattice__sup(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_ba_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_ba_2),V_A_2))) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Sup__fin_Oinsert__idem,axiom, % 199.35/199.78 ! [V_x_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Sup__fin_Osubset__idem,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setprod_Ounion__inter,axiom, % 199.35/199.78 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setprod__Un__Int,axiom, % 199.35/199.78 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom, % 199.35/199.78 ! [V_a_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_a_2),V_A_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_card_Ounion__inter,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_card__Un__Int,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_union__fold__insert,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)),V_B_2),V_A_2) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_fold1__Un2,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Inf__fin_Ounion__idem,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Min__Un,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Max__Un,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_min__max_OInf__fin_Ounion__idem,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_min__max_OSup__fin_Ounion__idem,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_SUPR__fold__sup,axiom, % 199.35/199.78 ! [V_f_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(T_c)),V_A_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_folding_Ounion__inter,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_image__eq__fold__image,axiom, % 199.35/199.78 ! [V_f_2,T_c,V_A_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_c,tc_HOL_Obool),T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_A_2) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_folding__image__simple_Ounion__disjoint,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.35/199.78 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 199.35/199.78 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_folding__one_Ounion__inter,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.35/199.78 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => 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)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_folding__one_Ounion__disjoint,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 199.35/199.78 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => 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)) ) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Sup__fin_Oinsert,axiom, % 199.35/199.78 ! [V_x_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Sup__fin_Oinsert__remove,axiom, % 199.35/199.78 ! [V_x_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 199.35/199.78 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Sup__fin_Oeq__fold_H,axiom, % 199.35/199.78 ! [V_x_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.78 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_x_2),V_A_2) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setprod__Un__disjoint,axiom, % 199.35/199.78 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setprod_Ounion__disjoint,axiom, % 199.35/199.78 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_card__Un__disjoint,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_inj__on__Un,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.35/199.78 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.35/199.78 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 199.35/199.78 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_fold__image__Un__Int,axiom, % 199.35/199.78 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_fold1__Un,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Groups_Oab__semigroup__mult(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Inf__fin_Ounion__inter,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Inf__fin_Ounion__disjoint,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Min_Ounion__inter,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Min_Ounion__disjoint,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Max_Ounion__disjoint,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Max_Ounion__inter,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_min__max_OInf__fin_Ounion__inter,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_min__max_OSup__fin_Ounion__inter,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_folding_Ounion,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Sup__fin_Oremove,axiom, % 199.35/199.78 ! [V_x_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.78 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 ) % 199.35/199.78 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_fold__Un__disjoint,axiom, % 199.35/199.78 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__Inf2__distrib,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Odistrib__lattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__Inf1__distrib,axiom, % 199.35/199.78 ! [V_x_2,V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Odistrib__lattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_mlex__prod__def,axiom, % 199.35/199.78 ! [V_R_2,V_f_2,T_b] : c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_b),T_b),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_b,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(tc_Nat_Onat,T_b)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_prod(tc_Nat_Onat,T_b)),T_b),c_Product__Type_OPair(tc_Nat_Onat,T_b)),V_f_2)),c_COMBI(T_b))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_max__weak__def,axiom, % 199.35/199.78 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)))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_card_Ounion__inter__neutral,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.35/199.78 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.35/199.78 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setprod__Un,axiom, % 199.35/199.78 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Fields_Ofield(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( ! [B_x] : % 199.35/199.78 ( 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))) % 199.35/199.78 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) ) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Field__insert,axiom, % 199.35/199.78 ! [V_r_2,V_ba_2,V_a_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_b),V_r_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom, % 199.35/199.78 ! [V_B_2,V_A_2] : % 199.35/199.78 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.35/199.78 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.35/199.78 => 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)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__nat__def,axiom, % 199.35/199.78 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom, % 199.35/199.78 ! [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))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom, % 199.35/199.78 ! [V_B_2,V_A_2] : % 199.35/199.78 ( c_Nat__Transfer_Onat__set(V_A_2) % 199.35/199.78 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.35/199.78 => 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))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup__Un__eq2,axiom, % 199.35/199.78 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2)) % 199.35/199.78 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Field__empty,axiom, % 199.35/199.78 ! [T_b] : hAPP(c_Relation_OField(T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_mono__Field,axiom, % 199.35/199.78 ! [V_s_2,V_r_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 199.35/199.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Field__Un,axiom, % 199.35/199.78 ! [V_s_2,V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_finite__Field,axiom, % 199.35/199.78 ! [V_r_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 199.35/199.78 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Pow__insert,axiom, % 199.35/199.78 ! [V_A_2,V_a_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_b),V_a_2)),hAPP(c_Set_OPow(T_b),V_A_2))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_max__strict__def,axiom, % 199.35/199.78 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 199.35/199.78 % 199.35/199.78 fof(fact_max__ext__additive,axiom, % 199.35/199.78 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) % 199.35/199.78 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_max__extp__max__ext__eq,axiom, % 199.35/199.78 ! [V_xa_2,V_x_2,V_R_2,T_b] : % 199.35/199.78 ( c_Wellfounded_Omax__extp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_R_2),V_x_2,V_xa_2) % 199.35/199.78 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_fold__image__Un__one,axiom, % 199.35/199.78 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 199.35/199.78 => ( ! [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))) % 199.35/199.78 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 199.35/199.78 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_T_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Sup__fin_Oclosed,axiom, % 199.35/199.78 ! [V_A_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 199.35/199.78 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup2CI,axiom, % 199.35/199.78 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] : % 199.35/199.78 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 199.35/199.78 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) % 199.35/199.78 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup2E,axiom, % 199.35/199.78 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 199.35/199.78 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 199.35/199.78 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup2I2,axiom, % 199.35/199.78 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 199.35/199.78 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_sup2I1,axiom, % 199.35/199.78 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 199.35/199.78 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setprod__Un__one,axiom, % 199.35/199.78 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 199.35/199.78 => ( ! [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))) % 199.35/199.78 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setprod_Ounion__inter__neutral,axiom, % 199.35/199.78 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( ! [B_x] : % 199.35/199.78 ( 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))) % 199.35/199.78 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Id__on__def,axiom, % 199.35/199.78 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Id__on__def_H,axiom, % 199.35/199.78 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),c_fequal))),V_A_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Id__on__empty,axiom, % 199.35/199.78 ! [T_b] : c_Relation_OId__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Image__Id__on,axiom, % 199.35/199.78 ! [V_B_2,V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Id__on__eqI,axiom, % 199.35/199.78 ! [V_A_2,T_b,V_ba_2,V_a_2] : % 199.35/199.78 ( V_a_2 = V_ba_2 % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.78 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Relation_OId__on(T_b,V_A_2))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Id__on__iff,axiom, % 199.35/199.78 ! [V_A_2,V_y_2,V_x_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Relation_OId__on(T_b,V_A_2))) % 199.35/199.78 <=> ( V_x_2 = V_y_2 % 199.35/199.78 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I4_J,axiom, % 199.35/199.78 ! [V_u_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Id__onE,axiom, % 199.35/199.78 ! [V_A_2,V_ca_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_ca_2),c_Relation_OId__on(T_b,V_A_2))) % 199.35/199.78 => ~ ! [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.78 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Inf__fin_Ohom__commute,axiom, % 199.35/199.78 ! [V_N_2,V_h_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.35/199.78 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_finite__greaterThanAtMost,axiom, % 199.35/199.78 ! [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))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_finite__greaterThanAtMost__int,axiom, % 199.35/199.78 ! [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))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_greaterThanAtMost__empty,axiom, % 199.35/199.78 ! [V_k_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 199.35/199.78 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_greaterThanAtMost__empty__iff,axiom, % 199.35/199.78 ! [V_l_2,V_k_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_greaterThanAtMost__empty__iff2,axiom, % 199.35/199.78 ! [V_l_2,V_k_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) % 199.35/199.78 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I20_J,axiom, % 199.35/199.78 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__int_I14_J,axiom, % 199.35/199.78 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_card__greaterThanAtMost,axiom, % 199.35/199.78 ! [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) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Int__greaterThanAtMost,axiom, % 199.35/199.78 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_a_2,V_ba_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_ba_2),V_d_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__int_I10_J,axiom, % 199.35/199.78 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_card__greaterThanAtMost__int,axiom, % 199.35/199.78 ! [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)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I16_J,axiom, % 199.35/199.78 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Sup__fin_Ohom__commute,axiom, % 199.35/199.78 ! [V_N_2,V_h_2,T_b] : % 199.35/199.78 ( class_Lattices_Olattice(T_b) % 199.35/199.78 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 199.35/199.78 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_negD,axiom, % 199.35/199.78 ! [V_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 199.35/199.78 => ? [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))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ImageE,axiom, % 199.35/199.78 ! [V_A_2,V_r_2,T_c,V_ba_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 199.35/199.78 => ~ ! [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_ba_2)),V_r_2)) % 199.35/199.78 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_strong__setprod__reindex__cong,axiom, % 199.35/199.78 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__mult(T_d) % 199.35/199.78 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.35/199.78 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 199.35/199.78 => ( ! [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.78 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2),B_x) ) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setprod__mono__one__left,axiom, % 199.35/199.78 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 199.35/199.78 => ( ! [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 199.35/199.78 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setprod__mono__one__right,axiom, % 199.35/199.78 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 199.35/199.78 => ( ! [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 199.35/199.78 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I19_J,axiom, % 199.35/199.78 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I3_J,axiom, % 199.35/199.78 ! [V_u_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_field__le__mult__one__interval,axiom, % 199.35/199.78 ! [V_y,V_x,T_a] : % 199.35/199.78 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 199.35/199.78 => ( ! [B_z] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a))) % 199.35/199.78 => 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)) ) ) % 199.35/199.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_finite__atLeastLessThan,axiom, % 199.35/199.78 ! [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))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_finite__atLeastAtMost,axiom, % 199.35/199.78 ! [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))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_finite__atLeastAtMost__int,axiom, % 199.35/199.78 ! [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))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_finite__atLeastLessThan__int,axiom, % 199.35/199.78 ! [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))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I21_J,axiom, % 199.35/199.78 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__int_I15_J,axiom, % 199.35/199.78 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom, % 199.35/199.78 ! [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))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_image__add__atLeastLessThan,axiom, % 199.35/199.78 ! [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)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_image__add__atLeastAtMost,axiom, % 199.35/199.78 ! [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)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastLessThan__eq__iff,axiom, % 199.35/199.78 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2)) % 199.35/199.78 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2) % 199.35/199.78 <=> ( V_a_2 = V_ca_2 % 199.35/199.78 & V_ba_2 = V_d_2 ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastLessThan__inj_I1_J,axiom, % 199.35/199.78 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2)) % 199.35/199.78 => V_a_2 = V_ca_2 ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastLessThan__inj_I2_J,axiom, % 199.35/199.78 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2)) % 199.35/199.78 => V_ba_2 = V_d_2 ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_image__Suc__atLeastAtMost,axiom, % 199.35/199.78 ! [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)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_image__Suc__atLeastLessThan,axiom, % 199.35/199.78 ! [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)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom, % 199.35/199.78 ! [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) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom, % 199.35/199.78 ! [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) ). % 199.35/199.78 % 199.35/199.78 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom, % 199.35/199.78 ! [V_n_2,V_m_2] : % 199.35/199.78 ( c_Nat__Transfer_Ois__nat(V_m_2) % 199.35/199.78 => ( c_Nat__Transfer_Ois__nat(V_n_2) % 199.35/199.78 => 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))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastLessThan0,axiom, % 199.35/199.78 ! [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)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I6_J,axiom, % 199.35/199.78 ! [V_u_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_card__atLeastLessThan,axiom, % 199.35/199.78 ! [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) ). % 199.35/199.78 % 199.35/199.78 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom, % 199.35/199.78 ! [V_y_2,V_x_2] : % 199.35/199.78 ( c_Nat__Transfer_Ois__nat(V_x_2) % 199.35/199.78 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I18_J,axiom, % 199.35/199.78 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastatMost__empty__iff2,axiom, % 199.35/199.78 ! [V_ba_2,V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2) % 199.35/199.78 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastatMost__empty__iff,axiom, % 199.35/199.78 ! [V_ba_2,V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastatMost__empty,axiom, % 199.35/199.78 ! [V_a_2,V_ba_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),V_a_2)) % 199.35/199.78 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastatMost__subset__iff,axiom, % 199.35/199.78 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2))) % 199.35/199.78 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) % 199.35/199.78 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2)) % 199.35/199.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_d_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastLessThan__empty,axiom, % 199.35/199.78 ! [V_a_2,V_ba_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_a_2)) % 199.35/199.78 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastLessThan__empty__iff2,axiom, % 199.35/199.78 ! [V_ba_2,V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2) % 199.35/199.78 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastLessThan__empty__iff,axiom, % 199.35/199.78 ! [V_ba_2,V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.78 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastAtMost__singleton,axiom, % 199.35/199.78 ! [V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastAtMost__singleton__iff,axiom, % 199.35/199.78 ! [V_ca_2,V_ba_2,V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.78 <=> ( V_a_2 = V_ba_2 % 199.35/199.78 & V_ba_2 = V_ca_2 ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastAtMost__singleton_H,axiom, % 199.35/199.78 ! [V_ba_2,V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => ( V_a_2 = V_ba_2 % 199.35/199.78 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastLessThan__subset__iff,axiom, % 199.35/199.78 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2))) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_a_2)) % 199.35/199.78 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2)) % 199.35/199.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_d_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I17_J,axiom, % 199.35/199.78 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_image__uminus__atLeastAtMost,axiom, % 199.35/199.78 ! [V_y_2,V_x_2,T_b] : % 199.35/199.78 ( class_Groups_Oordered__ab__group__add(T_b) % 199.35/199.78 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__diff,axiom, % 199.35/199.78 ! [V_m_2,V_n_2,V_i_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2)) % 199.35/199.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_n_2),V_m_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__int_I11_J,axiom, % 199.35/199.78 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom, % 199.35/199.78 ! [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) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom, % 199.35/199.78 ! [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) ). % 199.35/199.78 % 199.35/199.78 fof(fact_finite__atLeastZeroLessThan__int,axiom, % 199.35/199.78 ! [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))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom, % 199.35/199.78 ! [V_y_2,V_x_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 199.35/199.78 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_card__atLeastAtMost,axiom, % 199.35/199.78 ! [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) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastAtMostSuc__conv,axiom, % 199.35/199.78 ! [V_n_2,V_m_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 199.35/199.78 => 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)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastLessThan__singleton,axiom, % 199.35/199.78 ! [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))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom, % 199.35/199.78 ! [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) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Int__atLeastAtMost,axiom, % 199.35/199.78 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_ba_2),V_d_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastatMost__psubset__iff,axiom, % 199.35/199.78 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2))) % 199.35/199.78 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) % 199.35/199.78 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2)) % 199.35/199.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_d_2)) % 199.35/199.78 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_a_2)) % 199.35/199.78 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),V_d_2)) ) ) ) % 199.35/199.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_d_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastLessThan__add__Un,axiom, % 199.35/199.78 ! [V_k_2,V_j_2,V_i_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 199.35/199.78 => 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))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Int__atLeastLessThan,axiom, % 199.35/199.78 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_ba_2),V_d_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I22_J,axiom, % 199.35/199.78 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__int_I16_J,axiom, % 199.35/199.78 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__int_I13_J,axiom, % 199.35/199.78 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__int_I12_J,axiom, % 199.35/199.78 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_subset__card__intvl__is__intvl,axiom, % 199.35/199.78 ! [V_k_2,V_A_2] : % 199.35/199.78 ( 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))))) % 199.35/199.78 => 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))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__int_I9_J,axiom, % 199.35/199.78 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_image__uminus__atLeastLessThan,axiom, % 199.35/199.78 ! [V_y_2,V_x_2,T_b] : % 199.35/199.78 ( class_Groups_Oordered__ab__group__add(T_b) % 199.35/199.78 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_image__uminus__greaterThanAtMost,axiom, % 199.35/199.78 ! [V_y_2,V_x_2,T_b] : % 199.35/199.78 ( class_Groups_Oordered__ab__group__add(T_b) % 199.35/199.78 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_image__add__int__atLeastLessThan,axiom, % 199.35/199.78 ! [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) ). % 199.35/199.78 % 199.35/199.78 fof(fact_card__atLeastZeroLessThan__int,axiom, % 199.35/199.78 ! [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) ). % 199.35/199.78 % 199.35/199.78 fof(fact_card__atLeastLessThan__int,axiom, % 199.35/199.78 ! [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)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom, % 199.35/199.78 ! [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) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeastLessThanSuc,axiom, % 199.35/199.78 ! [V_n_2,V_m_2] : % 199.35/199.78 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 199.35/199.78 => 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)) ) % 199.35/199.78 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 199.35/199.78 => 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)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_simp__from__to,axiom, % 199.35/199.78 ! [V_i_2,V_j_2] : % 199.35/199.78 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 199.35/199.78 => 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)) ) % 199.35/199.78 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 199.35/199.78 => 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)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I15_J,axiom, % 199.35/199.78 ! [V_u_2,V_m_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_card__atLeastAtMost__int,axiom, % 199.35/199.78 ! [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))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_image__minus__const__atLeastLessThan__nat,axiom, % 199.35/199.78 ! [V_x_2,V_y_2,V_ca_2] : % 199.35/199.78 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2)) % 199.35/199.78 => 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)) ) % 199.35/199.78 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2)) % 199.35/199.78 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 199.35/199.78 => 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))) ) % 199.35/199.78 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 199.35/199.78 => 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)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I5_J,axiom, % 199.35/199.78 ! [V_u_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_aset_I6_J,axiom, % 199.35/199.78 ! [V_A_2,V_t_2,V_D_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => ! [B_x] : % 199.35/199.78 ( ! [B_xa] : % 199.35/199.78 ( 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))) % 199.35/199.78 => ! [B_xb] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 199.35/199.78 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 199.35/199.78 => 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)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_bset_I8_J,axiom, % 199.35/199.78 ! [V_B_2,V_t_2,V_D_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => ! [B_x] : % 199.35/199.78 ( ! [B_xa] : % 199.35/199.78 ( 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))) % 199.35/199.78 => ! [B_xb] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 199.35/199.78 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 199.35/199.78 => 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))) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_aset_I4_J,axiom, % 199.35/199.78 ! [V_A_2,V_t_2,V_D_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 199.35/199.78 => ! [B_x] : % 199.35/199.78 ( ! [B_xa] : % 199.35/199.78 ( 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))) % 199.35/199.78 => ! [B_xb] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 199.35/199.78 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.35/199.78 => ( B_x != V_t_2 % 199.35/199.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_all__nat__less,axiom, % 199.35/199.78 ! [V_Pa_2,V_n_2] : % 199.35/199.78 ( ! [B_m] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 199.35/199.78 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 199.35/199.78 <=> ! [B_x] : % 199.35/199.78 ( 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))) % 199.35/199.78 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ex__nat__less,axiom, % 199.35/199.78 ! [V_Pa_2,V_n_2] : % 199.35/199.78 ( ? [B_m] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 199.35/199.78 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 199.35/199.78 <=> ? [B_x] : % 199.35/199.78 ( 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))) % 199.35/199.78 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ex__nat__less__eq,axiom, % 199.35/199.78 ! [V_Pa_2,V_n_2] : % 199.35/199.78 ( ? [B_m] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 199.35/199.78 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 199.35/199.78 <=> ? [B_x] : % 199.35/199.78 ( 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))) % 199.35/199.78 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_all__nat__less__eq,axiom, % 199.35/199.78 ! [V_Pa_2,V_n_2] : % 199.35/199.78 ( ! [B_m] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 199.35/199.78 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 199.35/199.78 <=> ! [B_x] : % 199.35/199.78 ( 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))) % 199.35/199.78 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_bset_I4_J,axiom, % 199.35/199.78 ! [V_B_2,V_t_2,V_D_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 199.35/199.78 => ! [B_x] : % 199.35/199.78 ( ! [B_xa] : % 199.35/199.78 ( 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))) % 199.35/199.78 => ! [B_xb] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 199.35/199.78 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.35/199.78 => ( B_x != V_t_2 % 199.35/199.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_bset_I7_J,axiom, % 199.35/199.78 ! [V_B_2,V_t_2,V_D_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 199.35/199.78 => ! [B_x] : % 199.35/199.78 ( ! [B_xa] : % 199.35/199.78 ( 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))) % 199.35/199.78 => ! [B_xb] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 199.35/199.78 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 199.35/199.78 => 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))) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_aset_I5_J,axiom, % 199.35/199.78 ! [V_A_2,V_t_2,V_D_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 199.35/199.78 => ! [B_x] : % 199.35/199.78 ( ! [B_xa] : % 199.35/199.78 ( 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))) % 199.35/199.78 => ! [B_xb] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 199.35/199.78 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 199.35/199.78 => 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)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_bset_I3_J,axiom, % 199.35/199.78 ! [V_B_2,V_t_2,V_D_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => ( ! [B_x] : % 199.35/199.78 ( 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))) % 199.35/199.78 => ! [B_xa] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2)) % 199.35/199.78 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) ) % 199.35/199.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_aset_I3_J,axiom, % 199.35/199.78 ! [V_A_2,V_t_2,V_D_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => ( ! [B_x] : % 199.35/199.78 ( 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))) % 199.35/199.78 => ! [B_xa] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2)) % 199.35/199.78 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) ) % 199.35/199.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_bset_I6_J,axiom, % 199.35/199.78 ! [V_t_2,V_B_2,V_D_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.35/199.78 => ! [B_x] : % 199.35/199.78 ( ! [B_xa] : % 199.35/199.78 ( 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))) % 199.35/199.78 => ! [B_xb] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 199.35/199.78 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 199.35/199.78 => 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)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_aset_I8_J,axiom, % 199.35/199.78 ! [V_t_2,V_A_2,V_D_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.35/199.78 => ! [B_x] : % 199.35/199.78 ( ! [B_xa] : % 199.35/199.78 ( 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))) % 199.35/199.78 => ! [B_xb] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 199.35/199.78 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 199.35/199.78 => 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))) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_periodic__finite__ex,axiom, % 199.35/199.78 ! [V_Pa_2,V_d_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 199.35/199.78 => ( ! [B_x,B_k] : % 199.35/199.78 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.35/199.78 <=> hBOOL(hAPP(V_Pa_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)))) ) % 199.35/199.78 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 199.35/199.78 <=> ? [B_x] : % 199.35/199.78 ( 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))) % 199.35/199.78 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_aset_I7_J,axiom, % 199.35/199.78 ! [V_t_2,V_A_2,V_D_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.35/199.78 => ! [B_x] : % 199.35/199.78 ( ! [B_xa] : % 199.35/199.78 ( 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))) % 199.35/199.78 => ! [B_xb] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 199.35/199.78 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 199.35/199.78 => 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))) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_bset_I5_J,axiom, % 199.35/199.78 ! [V_t_2,V_B_2,V_D_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 199.35/199.78 => ! [B_x] : % 199.35/199.78 ( ! [B_xa] : % 199.35/199.78 ( 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))) % 199.35/199.78 => ! [B_xb] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 199.35/199.78 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 199.35/199.78 => 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)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_image__atLeastZeroLessThan__int,axiom, % 199.35/199.78 ! [V_u_2] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) % 199.35/199.78 => 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))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom, % 199.35/199.78 ! [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))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_finite__lessThan,axiom, % 199.35/199.78 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_finite__atMost,axiom, % 199.35/199.78 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atMost__eq__iff,axiom, % 199.35/199.78 ! [V_y_2,V_x_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2) % 199.35/199.78 <=> V_x_2 = V_y_2 ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_lessThan__eq__iff,axiom, % 199.35/199.78 ! [V_y_2,V_x_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2) % 199.35/199.78 <=> V_x_2 = V_y_2 ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_lessThan__Suc__atMost,axiom, % 199.35/199.78 ! [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) ). % 199.35/199.78 % 199.35/199.78 fof(fact_card__lessThan,axiom, % 199.35/199.78 ! [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 ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I2_J,axiom, % 199.35/199.78 ! [V_u_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I10_J,axiom, % 199.35/199.78 ! [V_u_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I7_J,axiom, % 199.35/199.78 ! [V_u_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeast0LessThan,axiom, % 199.35/199.78 ! [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) ). % 199.35/199.78 % 199.35/199.78 fof(fact_lessThan__0,axiom, % 199.35/199.78 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)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atLeast0AtMost,axiom, % 199.35/199.78 ! [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) ). % 199.35/199.78 % 199.35/199.78 fof(fact_lessThan__Suc,axiom, % 199.35/199.78 ! [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)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_card__atMost,axiom, % 199.35/199.78 ! [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) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atMost__Suc,axiom, % 199.35/199.78 ! [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)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atMost__iff,axiom, % 199.35/199.78 ! [V_k_2,V_i_2,T_b] : % 199.35/199.78 ( class_Orderings_Oord(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2))) % 199.35/199.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_lessThan__iff,axiom, % 199.35/199.78 ! [V_k_2,V_i_2,T_b] : % 199.35/199.78 ( class_Orderings_Oord(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2))) % 199.35/199.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_lessThan__subset__iff,axiom, % 199.35/199.78 ! [V_y_2,V_x_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2))) % 199.35/199.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atMost__subset__iff,axiom, % 199.35/199.78 ! [V_y_2,V_x_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2))) % 199.35/199.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_UN__le__add__shift,axiom, % 199.35/199.78 ! [V_k_2,V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))),V_M_2) ). % 199.35/199.78 % 199.35/199.78 fof(fact_lessThan__strict__subset__iff,axiom, % 199.35/199.78 ! [V_n_2,V_m_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_n_2))) % 199.35/199.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_atMost__0,axiom, % 199.35/199.78 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))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_single__Diff__lessThan,axiom, % 199.35/199.78 ! [V_k_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I8_J,axiom, % 199.35/199.78 ! [V_u_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__int_I4_J,axiom, % 199.35/199.78 ! [V_u_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__int_I2_J,axiom, % 199.35/199.78 ! [V_u_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Int__atLeastAtMostL1,axiom, % 199.35/199.78 ! [V_d_2,V_ba_2,V_a_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_ba_2),V_d_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_Int__atLeastAtMostR1,axiom, % 199.35/199.78 ! [V_d_2,V_ca_2,V_ba_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_ba_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_ba_2),V_d_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__un_I9_J,axiom, % 199.35/199.78 ! [V_u_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Olinorder(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__int_I3_J,axiom, % 199.35/199.78 ! [V_u_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_ivl__disj__int_I1_J,axiom, % 199.35/199.78 ! [V_u_2,V_l_2,T_b] : % 199.35/199.78 ( class_Orderings_Oorder(T_b) % 199.35/199.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_lessThan__Suc__eq__insert__0,axiom, % 199.35/199.78 ! [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))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_UN__le__eq__Un0,axiom, % 199.35/199.78 ! [V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_arith__series__int,axiom, % 199.35/199.78 ! [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)))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_arith__series__nat,axiom, % 199.35/199.78 ! [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)))) ). % 199.35/199.78 % 199.35/199.78 fof(fact_arith__series__general,axiom, % 199.35/199.78 ! [V_n_2,V_d_2,V_a_2,T_b] : % 199.35/199.78 ( class_Rings_Ocomm__semiring__1(T_b) % 199.35/199.78 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_b)),c_Nat_Osemiring__1__class_Oof__nat(T_b))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__abs,axiom, % 199.35/199.78 ! [V_A_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 199.35/199.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__abs__ge__zero,axiom, % 199.35/199.78 ! [V_A_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 199.35/199.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__divide__distrib,axiom, % 199.35/199.78 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( class_Fields_Ofield(T_b) % 199.35/199.78 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_r_2)),V_A_2) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__addf,axiom, % 199.35/199.78 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__right__distrib,axiom, % 199.35/199.78 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] : % 199.35/199.78 ( class_Rings_Osemiring__0(T_b) % 199.35/199.78 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2)),V_f_2)),V_A_2) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__left__distrib,axiom, % 199.35/199.78 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( class_Rings_Osemiring__0(T_b) % 199.35/199.78 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_r_2)),V_A_2) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__product,axiom, % 199.35/199.78 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( class_Rings_Osemiring__0(T_b) % 199.35/199.78 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_b),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,T_b)),T_c),c_COMBB(T_b,T_b,T_d)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__0,axiom, % 199.35/199.78 ! [V_A_2,T_c,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_of__int__setsum,axiom, % 199.35/199.78 ! [V_A_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( class_Rings_Oring__1(T_b) % 199.35/199.78 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom, % 199.35/199.78 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ). % 199.35/199.78 % 199.35/199.78 fof(fact_int__setsum,axiom, % 199.35/199.78 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ). % 199.35/199.78 % 199.35/199.78 fof(fact_of__nat__setsum,axiom, % 199.35/199.78 ! [V_A_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( class_Rings_Osemiring__1(T_b) % 199.35/199.78 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__commute,axiom, % 199.35/199.78 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_b),T_d),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))),V_A_2)),V_B_2) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__subtractf,axiom, % 199.35/199.78 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( class_Groups_Oab__group__add(T_b) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__negf,axiom, % 199.35/199.78 ! [V_A_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( class_Groups_Oab__group__add(T_b) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_abs__setsum__abs,axiom, % 199.35/199.78 ! [V_A_2,V_f_2,T_c,T_b] : % 199.35/199.78 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 199.35/199.78 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__empty,axiom, % 199.35/199.78 ! [V_f_2,T_c,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum_Oempty,axiom, % 199.35/199.78 ! [V_g_2,T_c,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum_Oinfinite,axiom, % 199.35/199.78 ! [V_g_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__infinite,axiom, % 199.35/199.78 ! [V_f_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__eq__0__iff,axiom, % 199.35/199.78 ! [V_f_2,V_F_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.35/199.78 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.78 <=> ! [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 199.35/199.78 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum_Odistrib,axiom, % 199.35/199.78 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Oplus__class_Oplus(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_A_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_card__eq__setsum,axiom, % 199.35/199.78 ! [V_A_2,T_b] : hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__shift__bounds__Suc__ivl,axiom, % 199.35/199.78 ! [V_n_2,V_m_2,V_f_2,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__shift__bounds__nat__ivl,axiom, % 199.35/199.78 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom, % 199.35/199.78 ! [V_n_2,V_m_2,V_f_2,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom, % 199.35/199.78 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__eq__Suc0__iff,axiom, % 199.35/199.78 ! [V_f_2,V_A_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 199.35/199.78 <=> ? [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.78 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 199.35/199.78 & ! [B_xa] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 199.35/199.78 => ( B_x != B_xa % 199.35/199.78 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__reindex,axiom, % 199.35/199.78 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_d) % 199.35/199.78 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__eq__1__iff,axiom, % 199.35/199.78 ! [V_f_2,V_A_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 199.35/199.78 <=> ? [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.78 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 199.35/199.78 & ! [B_xa] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 199.35/199.78 => ( B_x != B_xa % 199.35/199.78 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__add__nat__ivl,axiom, % 199.35/199.78 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 199.35/199.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__diff__nat__ivl,axiom, % 199.35/199.78 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] : % 199.35/199.78 ( class_Groups_Oab__group__add(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 199.35/199.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__shift__lb__Suc0__0,axiom, % 199.35/199.78 ! [V_k_2,V_f_2] : % 199.35/199.78 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.78 => 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)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__delta_H,axiom, % 199.35/199.78 ! [V_ba_2,V_a_2,V_S_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.35/199.78 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_ba_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_ba_2,V_a_2) ) % 199.35/199.78 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_ba_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__delta,axiom, % 199.35/199.78 ! [V_ba_2,V_a_2,V_S_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.35/199.78 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_ba_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_ba_2,V_a_2) ) % 199.35/199.78 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_ba_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__setsum__restrict,axiom, % 199.35/199.78 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_d) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_d),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_d),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d)),hAPP(c_COMBC(T_b,T_c,T_d),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__constant,axiom, % 199.35/199.78 ! [V_A_2,V_y_2,T_c,T_b] : % 199.35/199.78 ( class_Rings_Osemiring__1(T_b) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))),V_y_2) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__lessThan__Suc,axiom, % 199.35/199.78 ! [V_n_2,V_f_2,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__atMost__Suc,axiom, % 199.35/199.78 ! [V_n_2,V_f_2,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum_Oinsert,axiom, % 199.35/199.78 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__insert,axiom, % 199.35/199.78 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.35/199.78 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_F_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__Un__Int,axiom, % 199.35/199.78 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__diff,axiom, % 199.35/199.78 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Oab__group__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum_Oreindex,axiom, % 199.35/199.78 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum_Oeq__fold,axiom, % 199.35/199.78 ! [V_g_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum_OF__eq,axiom, % 199.35/199.78 ! [V_g_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) % 199.35/199.78 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__diff__nat,axiom, % 199.35/199.78 ! [V_f_2,V_A_2,V_B_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom, % 199.35/199.78 ! [V_k_2,V_f_2,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__head__upt__Suc,axiom, % 199.35/199.78 ! [V_f_2,V_n_2,V_m_2,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__head__Suc,axiom, % 199.35/199.78 ! [V_f_2,V_n_2,V_m_2,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__restrict__set_H,axiom, % 199.35/199.78 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__restrict__set,axiom, % 199.35/199.78 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__image__gen,axiom, % 199.35/199.78 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),T_c,T_d),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_b),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_S_2)) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum_Oinsert__remove,axiom, % 199.35/199.78 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__Un__disjoint,axiom, % 199.35/199.78 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => ( 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)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__Un,axiom, % 199.35/199.78 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Oab__group__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__diff1__nat,axiom, % 199.35/199.78 ! [V_f_2,V_A_2,V_a_2,T_b] : % 199.35/199.78 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 199.35/199.78 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__Un__nat,axiom, % 199.35/199.78 ! [V_f_2,V_B_2,V_A_2,T_b] : % 199.35/199.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__op__ivl__Suc,axiom, % 199.35/199.78 ! [V_f_2,V_m_2,V_n_2,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) ) % 199.35/199.78 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(V_f_2,V_n_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__cl__ivl__Suc,axiom, % 199.35/199.78 ! [V_f_2,V_m_2,V_n_2,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) ) % 199.35/199.78 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__head,axiom, % 199.35/199.78 ! [V_Pa_2,V_n_2,V_m_2,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_Pa_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__ub__add__nat,axiom, % 199.35/199.78 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.78 => ( 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)))) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2)))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__cases,axiom, % 199.35/199.78 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_Pa_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum_Oremove,axiom, % 199.35/199.78 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__diff1_H,axiom, % 199.35/199.78 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__diff1__ring,axiom, % 199.35/199.78 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Rings_Oring(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__diff1,axiom, % 199.35/199.78 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 199.35/199.78 ( class_Groups_Oab__group__add(T_c) % 199.35/199.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.78 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 199.35/199.78 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_geometric__sum,axiom, % 199.35/199.78 ! [V_n_2,V_x_2,T_b] : % 199.35/199.78 ( class_Fields_Ofield(T_b) % 199.35/199.78 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_Power_Opower__class_Opower(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_x_2),c_Groups_Oone__class_Oone(T_b))) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_gauss__sum,axiom, % 199.35/199.78 ! [V_n_2,T_b] : % 199.35/199.78 ( class_Rings_Ocomm__semiring__1(T_b) % 199.35/199.78 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Groups_Oone__class_Oone(T_b))) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__natinterval__difff,axiom, % 199.35/199.78 ! [V_f_2,V_n_2,V_m_2,T_b] : % 199.35/199.78 ( class_Groups_Oab__group__add(T_b) % 199.35/199.78 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 199.35/199.78 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom, % 199.35/199.78 ! [V_f_2,V_A_2,T_b] : % 199.35/199.78 ( ! [B_x] : % 199.35/199.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.78 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 199.35/199.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ). % 199.35/199.78 % 199.35/199.78 fof(fact_setsum__mono2,axiom, % 199.35/199.79 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 199.35/199.79 ( class_Groups_Oordered__comm__monoid__add(T_c) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.35/199.79 => ( ! [B_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) ) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setsum__multicount,axiom, % 199.35/199.79 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2)) % 199.35/199.79 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 ) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_c),V_T_2)) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom, % 199.35/199.79 ! [V_A_2,V_f_2,T_b] : % 199.35/199.79 ( ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.79 & class_Groups_Ocomm__monoid__mult(T_b) ) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom, % 199.35/199.79 ! [V_f_2,V_A_2,T_b] : % 199.35/199.79 ( ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.79 & class_Groups_Ocomm__monoid__mult(T_b) ) % 199.35/199.79 => ( c_Nat__Transfer_Onat__set(V_A_2) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setsum__bounded,axiom, % 199.35/199.79 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] : % 199.35/199.79 ( ( class_Groups_Oordered__ab__semigroup__add(T_c) % 199.35/199.79 & class_Rings_Osemiring__1(T_c) ) % 199.35/199.79 => ( ! [B_i] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) ) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_K_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setsum__Un__zero,axiom, % 199.35/199.79 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 199.35/199.79 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))) % 199.35/199.79 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setsum_Ounion__inter__neutral,axiom, % 199.35/199.79 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 199.35/199.79 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( 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))) % 199.35/199.79 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setsum__mono3,axiom, % 199.35/199.79 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 199.35/199.79 ( ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.79 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setsum__reindex__nonzero,axiom, % 199.35/199.79 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] : % 199.35/199.79 ( class_Groups_Ocomm__monoid__add(T_d) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 199.35/199.79 => ! [B_y] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2)) % 199.35/199.79 => ( B_x != B_y % 199.35/199.79 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 199.35/199.79 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_S_2) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setsum__multicount__gen,axiom, % 199.35/199.79 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2)) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2)) % 199.35/199.79 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_s_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) ) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setsum__nonneg__0,axiom, % 199.35/199.79 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] : % 199.35/199.79 ( class_Groups_Oordered__ab__group__add(T_c) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 199.35/199.79 => ( ! [B_i] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 199.35/199.79 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_c) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 199.35/199.79 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setsum__nonneg__leq__bound,axiom, % 199.35/199.79 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] : % 199.35/199.79 ( class_Groups_Oordered__ab__group__add(T_c) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 199.35/199.79 => ( ! [B_i] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 199.35/199.79 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2 % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_sum__diff__distrib,axiom, % 199.35/199.79 ! [V_n_2,V_Pa_2,V_Q_2] : % 199.35/199.79 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Q_2,B_x)),hAPP(V_Pa_2,B_x))) % 199.35/199.79 => 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_Pa_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_Pa_2)),V_Q_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setsum__mono__zero__right,axiom, % 199.35/199.79 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 199.35/199.79 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 199.35/199.79 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setsum__mono__zero__left,axiom, % 199.35/199.79 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 199.35/199.79 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 199.35/199.79 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setsum__strict__mono,axiom, % 199.35/199.79 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 199.35/199.79 ( ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.79 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) ) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2))) ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_atMost__Int__atLeast,axiom, % 199.35/199.79 ! [V_n_2,T_b] : % 199.35/199.79 ( class_Orderings_Oorder(T_b) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom, % 199.35/199.79 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 199.35/199.79 ( ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.79 & class_Groups_Ocomm__monoid__mult(T_b) ) % 199.35/199.79 => ( V_A_2 = V_B_2 % 199.35/199.79 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 199.35/199.79 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_code__numeral_Osimps_I5_J,axiom, % 199.35/199.79 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ). % 199.35/199.79 % 199.35/199.79 fof(fact_atLeast__eq__iff,axiom, % 199.35/199.79 ! [V_y_2,V_x_2,T_b] : % 199.35/199.79 ( class_Orderings_Olinorder(T_b) % 199.35/199.79 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2) % 199.35/199.79 <=> V_x_2 = V_y_2 ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_atLeast__iff,axiom, % 199.35/199.79 ! [V_k_2,V_i_2,T_b] : % 199.35/199.79 ( class_Orderings_Oord(T_b) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2))) % 199.35/199.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_atLeast__subset__iff,axiom, % 199.35/199.79 ! [V_y_2,V_x_2,T_b] : % 199.35/199.79 ( class_Orderings_Oorder(T_b) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2))) % 199.35/199.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Compl__atLeast,axiom, % 199.35/199.79 ! [V_k_2,T_b] : % 199.35/199.79 ( class_Orderings_Olinorder(T_b) % 199.35/199.79 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Compl__lessThan,axiom, % 199.35/199.79 ! [V_k_2,T_b] : % 199.35/199.79 ( class_Orderings_Olinorder(T_b) % 199.35/199.79 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_ivl__disj__un_I14_J,axiom, % 199.35/199.79 ! [V_u_2,V_l_2,T_b] : % 199.35/199.79 ( class_Orderings_Olinorder(T_b) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_ivl__disj__int_I8_J,axiom, % 199.35/199.79 ! [V_u_2,V_l_2,T_b] : % 199.35/199.79 ( class_Orderings_Oorder(T_b) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Int__atLeastAtMostR2,axiom, % 199.35/199.79 ! [V_d_2,V_ca_2,V_a_2,T_b] : % 199.35/199.79 ( class_Orderings_Olinorder(T_b) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),V_d_2) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Int__atLeastAtMostL2,axiom, % 199.35/199.79 ! [V_ca_2,V_ba_2,V_a_2,T_b] : % 199.35/199.79 ( class_Orderings_Olinorder(T_b) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_ba_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_ca_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),V_ba_2) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_ivl__disj__int_I6_J,axiom, % 199.35/199.79 ! [V_u_2,V_l_2,T_b] : % 199.35/199.79 ( class_Orderings_Oorder(T_b) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_image__uminus__atMost,axiom, % 199.35/199.79 ! [V_x_2,T_b] : % 199.35/199.79 ( class_Groups_Oordered__ab__group__add(T_b) % 199.35/199.79 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_image__uminus__atLeast,axiom, % 199.35/199.79 ! [V_x_2,T_b] : % 199.35/199.79 ( class_Groups_Oordered__ab__group__add(T_b) % 199.35/199.79 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_atLeast__Suc,axiom, % 199.35/199.79 ! [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)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_code__numeral_Osimps_I4_J,axiom, % 199.35/199.79 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ). % 199.35/199.79 % 199.35/199.79 fof(fact_ivl__disj__un_I12_J,axiom, % 199.35/199.79 ! [V_u_2,V_l_2,T_b] : % 199.35/199.79 ( class_Orderings_Olinorder(T_b) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_ivl__disj__un_I13_J,axiom, % 199.35/199.79 ! [V_u_2,V_l_2,T_b] : % 199.35/199.79 ( class_Orderings_Olinorder(T_b) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_ivl__disj__un_I1_J,axiom, % 199.35/199.79 ! [V_l_2,T_b] : % 199.35/199.79 ( class_Orderings_Olinorder(T_b) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_atLeast__Suc__greaterThan,axiom, % 199.35/199.79 ! [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) ). % 199.35/199.79 % 199.35/199.79 fof(fact_greaterThan__eq__iff,axiom, % 199.35/199.79 ! [V_y_2,V_x_2,T_b] : % 199.35/199.79 ( class_Orderings_Olinorder(T_b) % 199.35/199.79 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2) % 199.35/199.79 <=> V_x_2 = V_y_2 ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_greaterThan__iff,axiom, % 199.35/199.79 ! [V_k_2,V_i_2,T_b] : % 199.35/199.79 ( class_Orderings_Oord(T_b) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2))) % 199.35/199.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_greaterThan__subset__iff,axiom, % 199.35/199.79 ! [V_y_2,V_x_2,T_b] : % 199.35/199.79 ( class_Orderings_Olinorder(T_b) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2))) % 199.35/199.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Compl__greaterThan,axiom, % 199.35/199.79 ! [V_k_2,T_b] : % 199.35/199.79 ( class_Orderings_Olinorder(T_b) % 199.35/199.79 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Compl__atMost,axiom, % 199.35/199.79 ! [V_k_2,T_b] : % 199.35/199.79 ( class_Orderings_Olinorder(T_b) % 199.35/199.79 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_ivl__disj__int_I7_J,axiom, % 199.35/199.79 ! [V_u_2,V_l_2,T_b] : % 199.35/199.79 ( class_Orderings_Oorder(T_b) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_ivl__disj__un_I11_J,axiom, % 199.35/199.79 ! [V_u_2,V_l_2,T_b] : % 199.35/199.79 ( class_Orderings_Olinorder(T_b) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_image__uminus__greaterThan,axiom, % 199.35/199.79 ! [V_x_2,T_b] : % 199.35/199.79 ( class_Groups_Oordered__ab__group__add(T_b) % 199.35/199.79 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_image__uminus__lessThan,axiom, % 199.35/199.79 ! [V_x_2,T_b] : % 199.35/199.79 ( class_Groups_Oordered__ab__group__add(T_b) % 199.35/199.79 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_ivl__disj__int_I5_J,axiom, % 199.35/199.79 ! [V_u_2,V_l_2,T_b] : % 199.35/199.79 ( class_Orderings_Oorder(T_b) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_greaterThan__Suc,axiom, % 199.35/199.79 ! [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)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_compl__unique,axiom, % 199.35/199.79 ! [V_y,V_x,T_a] : % 199.35/199.79 ( class_Lattices_Oboolean__algebra(T_a) % 199.35/199.79 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a) % 199.35/199.79 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a) % 199.35/199.79 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom, % 199.35/199.79 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 199.35/199.79 ( ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.79 & class_Groups_Ocomm__monoid__mult(T_b) ) % 199.35/199.79 => ( V_A_2 = V_B_2 % 199.35/199.79 => ( c_Nat__Transfer_Onat__set(V_B_2) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 199.35/199.79 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_accp__acc__eq,axiom, % 199.35/199.79 ! [V_x_2,V_r_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),V_x_2)) % 199.35/199.79 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UNIV__I,axiom, % 199.35/199.79 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UN__lessThan__UNIV,axiom, % 199.35/199.79 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)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UNIV__def,axiom, % 199.35/199.79 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fTrue)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_top__greatest,axiom, % 199.35/199.79 ! [V_x,T_a] : % 199.35/199.79 ( class_Orderings_Otop(T_a) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Int__UNIV__left,axiom, % 199.35/199.79 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ). % 199.35/199.79 % 199.35/199.79 fof(fact_Int__UNIV__right,axiom, % 199.35/199.79 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ). % 199.35/199.79 % 199.35/199.79 fof(fact_injD,axiom, % 199.35/199.79 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 199.35/199.79 => V_x_2 = V_y_2 ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inj__eq,axiom, % 199.35/199.79 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 199.35/199.79 <=> V_x_2 = V_y_2 ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inj__int,axiom, % 199.35/199.79 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))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Pow__UNIV,axiom, % 199.35/199.79 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UNIV__Plus__UNIV,axiom, % 199.35/199.79 ! [T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_top__apply,axiom, % 199.35/199.79 ! [V_x_2,T_c,T_b] : % 199.35/199.79 ( class_Orderings_Otop(T_b) % 199.35/199.79 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_card__UNIV__unit,axiom, % 199.35/199.79 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) ). % 199.35/199.79 % 199.35/199.79 fof(fact_subset__UNIV,axiom, % 199.35/199.79 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_iso__tuple__UNIV__I,axiom, % 199.35/199.79 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_equiv__intrel,axiom, % 199.35/199.79 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) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UNIV__not__empty,axiom, % 199.35/199.79 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__fun__UNIVD2,axiom, % 199.35/199.79 ! [T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool)))) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__Prod__UNIV,axiom, % 199.35/199.79 ! [T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__option__UNIV,axiom, % 199.35/199.79 ! [T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool)))) % 199.35/199.79 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__UNIV,axiom, % 199.35/199.79 ! [T_b] : % 199.35/199.79 ( class_Finite__Set_Ofinite(T_b) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__Plus__UNIV__iff,axiom, % 199.35/199.79 ! [T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)))) % 199.35/199.79 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 199.35/199.79 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_infinite__UNIV__nat,axiom, % 199.35/199.79 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_infinite__UNIV__int,axiom, % 199.35/199.79 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Un__UNIV__left,axiom, % 199.35/199.79 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Un__UNIV__right,axiom, % 199.35/199.79 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inf__top__left,axiom, % 199.35/199.79 ! [V_x,T_a] : % 199.35/199.79 ( class_Lattices_Obounded__lattice__top(T_a) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inf__top__right,axiom, % 199.35/199.79 ! [V_x,T_a] : % 199.35/199.79 ( class_Lattices_Obounded__lattice__top(T_a) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inf__eq__top__iff,axiom, % 199.35/199.79 ! [V_y_2,V_x_2,T_b] : % 199.35/199.79 ( class_Lattices_Obounded__lattice__top(T_b) % 199.35/199.79 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b) % 199.35/199.79 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b) % 199.35/199.79 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_sup__top__left,axiom, % 199.35/199.79 ! [V_x,T_a] : % 199.35/199.79 ( class_Lattices_Obounded__lattice__top(T_a) % 199.35/199.79 => 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) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_sup__top__right,axiom, % 199.35/199.79 ! [V_x,T_a] : % 199.35/199.79 ( class_Lattices_Obounded__lattice__top(T_a) % 199.35/199.79 => 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) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_range__composition,axiom, % 199.35/199.79 ! [V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBB(T_d,T_b,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UN__atMost__UNIV,axiom, % 199.35/199.79 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)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_range__eqI,axiom, % 199.35/199.79 ! [T_c,T_b,V_x_2,V_f_2,V_ba_2] : % 199.35/199.79 ( V_ba_2 = hAPP(V_f_2,V_x_2) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_rangeI,axiom, % 199.35/199.79 ! [T_c,V_x_2,V_f_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UN__atLeast__UNIV,axiom, % 199.35/199.79 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)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Diff__UNIV,axiom, % 199.35/199.79 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_comp__surj,axiom, % 199.35/199.79 ! [V_g_2,T_d,V_f_2,T_b,T_c] : % 199.35/199.79 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => ( hAPP(c_Set_Oimage(T_b,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) % 199.35/199.79 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom, % 199.35/199.79 ! [V_A_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 199.35/199.79 => ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inj__image__eq__iff,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) % 199.35/199.79 <=> V_A_2 = V_B_2 ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inj__comp,axiom, % 199.35/199.79 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 199.35/199.79 => c_Fun_Oinj__on(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Compl__UNIV__eq,axiom, % 199.35/199.79 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Compl__empty__eq,axiom, % 199.35/199.79 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__compl,axiom, % 199.35/199.79 ! [V_A_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 199.35/199.79 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Compl__partition,axiom, % 199.35/199.79 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Compl__partition2,axiom, % 199.35/199.79 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Compl__eq__Diff__UNIV,axiom, % 199.35/199.79 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__Collect__not,axiom, % 199.35/199.79 ! [V_Pa_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)))) % 199.35/199.79 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_SUP__UN__eq,axiom, % 199.35/199.79 ! [V_x_2,V_r_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2)) % 199.35/199.79 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__range__imageI,axiom, % 199.35/199.79 ! [V_f_2,T_d,V_g_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Oimage(T_c,T_d,hAPP(hAPP(c_COMBB(T_b,T_d,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_the__inv__f__f,axiom, % 199.35/199.79 ! [V_x_2,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__fun__UNIVD1,axiom, % 199.35/199.79 ! [T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool)))) % 199.35/199.79 => ( hAPP(c_Finite__Set_Ocard(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inj__of__nat,axiom, % 199.35/199.79 ! [T_b] : % 199.35/199.79 ( class_Nat_Osemiring__char__0(T_b) % 199.35/199.79 => c_Fun_Oinj__on(tc_Nat_Onat,T_b,c_Nat_Osemiring__1__class_Oof__nat(T_b),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_atLeast__0,axiom, % 199.35/199.79 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)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_acc__subset,axiom, % 199.35/199.79 ! [V_R2_2,V_R1_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R1_2),V_R2_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oacc(T_b,V_R2_2)),c_Wellfounded_Oacc(T_b,V_R1_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inj__fun,axiom, % 199.35/199.79 ! [T_d,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => c_Fun_Oinj__on(T_b,tc_fun(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,T_c),T_b),c_COMBK(T_c,T_d)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_compl__top__eq,axiom, % 199.35/199.79 ! [T_a] : % 199.35/199.79 ( class_Lattices_Oboolean__algebra(T_a) % 199.35/199.79 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_compl__bot__eq,axiom, % 199.35/199.79 ! [T_a] : % 199.35/199.79 ( class_Lattices_Oboolean__algebra(T_a) % 199.35/199.79 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_sup__compl__top,axiom, % 199.35/199.79 ! [V_x,T_a] : % 199.35/199.79 ( class_Lattices_Oboolean__algebra(T_a) % 199.35/199.79 => 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) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_compl__sup__top,axiom, % 199.35/199.79 ! [V_x,T_a] : % 199.35/199.79 ( class_Lattices_Oboolean__algebra(T_a) % 199.35/199.79 => 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) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inj__graph,axiom, % 199.35/199.79 ! [T_c,T_b] : c_Fun_Oinj__on(tc_fun(T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Set_OCollect(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool)),hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inj__image__mem__iff,axiom, % 199.35/199.79 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 199.35/199.79 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_range__ex1__eq,axiom, % 199.35/199.79 ! [V_ba_2,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) % 199.35/199.79 <=> ? [B_x] : % 199.35/199.79 ( V_ba_2 = hAPP(V_f_2,B_x) % 199.35/199.79 & ! [B_y] : % 199.35/199.79 ( V_ba_2 = hAPP(V_f_2,B_y) % 199.35/199.79 => B_y = B_x ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__UNIV__surj__inj,axiom, % 199.35/199.79 ! [V_f_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 199.35/199.79 => ( hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__UNIV__inj__surj,axiom, % 199.35/199.79 ! [V_f_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 199.35/199.79 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inj__image__subset__iff,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) % 199.35/199.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_image__Int,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_image__set__diff,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_surj__Compl__image__subset,axiom, % 199.35/199.79 ! [V_A_2,V_f_2,T_b,T_c] : % 199.35/199.79 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_greaterThan__0,axiom, % 199.35/199.79 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))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_acc__downward,axiom, % 199.35/199.79 ! [V_a_2,V_r_2,V_ba_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_acc_Osimps,axiom, % 199.35/199.79 ! [V_r_2,V_a_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 199.35/199.79 <=> ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_a_2)),V_r_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UN__UN__finite__eq,axiom, % 199.35/199.79 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inj__singleton,axiom, % 199.35/199.79 ! [T_b] : c_Fun_Oinj__on(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__UNIV__card__ge__0,axiom, % 199.35/199.79 ! [T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_card__UNIV__bool,axiom, % 199.35/199.79 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))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inj__image__Compl__subset,axiom, % 199.35/199.79 ! [V_A_2,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_SUP__UN__eq2,axiom, % 199.35/199.79 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2)) % 199.35/199.79 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UN__finite2__subset,axiom, % 199.35/199.79 ! [V_B_2,V_k_2,V_A_2,T_b] : % 199.35/199.79 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2))) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INFI__fold__inf,axiom, % 199.35/199.79 ! [V_f_2,V_A_2,T_b,T_c] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),c_Orderings_Otop__class_Otop(T_c)),V_A_2) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UN__finite2__eq,axiom, % 199.35/199.79 ! [V_B_2,V_k_2,V_A_2,T_b] : % 199.35/199.79 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2) % 199.35/199.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_top1I,axiom, % 199.35/199.79 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INF1__E,axiom, % 199.35/199.79 ! [V_a_2,V_ba_2,V_B_2,V_A_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_ba_2)) % 199.35/199.79 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_ba_2)) % 199.35/199.79 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INF1__D,axiom, % 199.35/199.79 ! [V_a_2,V_ba_2,V_B_2,V_A_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_ba_2)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_ba_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__E,axiom, % 199.35/199.79 ! [V_a_2,V_B_2,V_A_2,T_c,V_ba_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_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))) % 199.35/199.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,V_a_2))) % 199.35/199.79 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__D,axiom, % 199.35/199.79 ! [V_a_2,V_B_2,V_A_2,T_c,V_ba_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_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))) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,V_a_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INF2__D,axiom, % 199.35/199.79 ! [V_a_2,V_ca_2,V_ba_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_ba_2),V_ca_2)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_ba_2),V_ca_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INF2__E,axiom, % 199.35/199.79 ! [V_a_2,V_ca_2,V_ba_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_ba_2),V_ca_2)) % 199.35/199.79 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_ba_2),V_ca_2)) % 199.35/199.79 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__INT,axiom, % 199.35/199.79 ! [V_A_2,T_c,V_I_2,T_b] : % 199.35/199.79 ( ? [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 199.35/199.79 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INF__INT__eq2,axiom, % 199.35/199.79 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2)) % 199.35/199.79 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INTER__UNIV__conv_I2_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b,T_c] : % 199.35/199.79 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 <=> ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.35/199.79 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INTER__UNIV__conv_I1_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b] : % 199.35/199.79 ( c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) % 199.35/199.79 <=> ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.35/199.79 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INF__INT__eq,axiom, % 199.35/199.79 ! [V_x_2,V_r_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2)) % 199.35/199.79 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__empty,axiom, % 199.35/199.79 ! [V_B_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__constant,axiom, % 199.35/199.79 ! [V_ca_2,T_c,T_b,V_A_2] : % 199.35/199.79 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_ca_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 199.35/199.79 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_ca_2)) = V_ca_2 ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__extend__simps_I9_J,axiom, % 199.35/199.79 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__simps_I9_J,axiom, % 199.35/199.79 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__extend__simps_I5_J,axiom, % 199.35/199.79 ! [V_B_2,V_C_2,T_c,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__simps_I5_J,axiom, % 199.35/199.79 ! [V_B_2,V_a_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__simps_I10_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__extend__simps_I10_J,axiom, % 199.35/199.79 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Un__INT__distrib2,axiom, % 199.35/199.79 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__extend__simps_I6_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Un__INT__distrib,axiom, % 199.35/199.79 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__extend__simps_I7_J,axiom, % 199.35/199.79 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__simps_I6_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__simps_I7_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__iff,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,V_ba_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_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))) % 199.35/199.79 <=> ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,B_x))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Pow__INT__eq,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INFI__apply,axiom, % 199.35/199.79 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INF__commute,axiom, % 199.35/199.79 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__subset__iff,axiom, % 199.35/199.79 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))) % 199.35/199.79 <=> ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__Int__distrib,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_le__INF__iff,axiom, % 199.35/199.79 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_M_2))) % 199.35/199.79 <=> ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INF__less__iff,axiom, % 199.35/199.79 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] : % 199.35/199.79 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 & class_Orderings_Olinorder(T_b) ) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_f_2)),V_a_2)) % 199.35/199.79 <=> ? [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.35/199.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__insert__distrib,axiom, % 199.35/199.79 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 199.35/199.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__lower,axiom, % 199.35/199.79 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__absorb,axiom, % 199.35/199.79 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INF__const,axiom, % 199.35/199.79 ! [V_M_2,T_b,V_A_2,T_c] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.35/199.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__extend__simps_I1_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.35/199.79 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 ) % 199.35/199.79 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__extend__simps_I2_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.35/199.79 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 199.35/199.79 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__simps_I2_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.35/199.79 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 199.35/199.79 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__simps_I1_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.35/199.79 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 199.35/199.79 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__insert,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__simps_I3_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.35/199.79 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 199.35/199.79 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__extend__simps_I3_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.35/199.79 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_B_2) ) % 199.35/199.79 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__Un,axiom, % 199.35/199.79 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UN__simps_I7_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UN__extend__simps_I7_J,axiom, % 199.35/199.79 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Image__INT__subset,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_d,V_r_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Compl__UN,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Compl__INT,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__greaterThan__UNIV,axiom, % 199.35/199.79 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)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INF__subset,axiom, % 199.35/199.79 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__extend__simps_I4_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.35/199.79 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 199.35/199.79 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__simps_I4_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 199.35/199.79 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 199.35/199.79 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INF__leI,axiom, % 199.35/199.79 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inf__INFI__fold__inf,axiom, % 199.35/199.79 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Integ__def,axiom, % 199.35/199.79 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) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UN__finite__subset,axiom, % 199.35/199.79 ! [V_C_2,V_A_2,T_b] : % 199.35/199.79 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),V_C_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_equivp__equiv,axiom, % 199.35/199.79 ! [V_A_2,T_b] : % 199.35/199.79 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2) % 199.35/199.79 <=> c_Equiv__Relations_Oequivp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_A_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INF1__iff,axiom, % 199.35/199.79 ! [V_ba_2,V_B_2,V_A_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_ba_2)) % 199.35/199.79 <=> ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_ba_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INF2__iff,axiom, % 199.35/199.79 ! [V_ca_2,V_ba_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_ba_2),V_ca_2)) % 199.35/199.79 <=> ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_ba_2),V_ca_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_equivp__transp,axiom, % 199.35/199.79 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 199.35/199.79 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_equivp__symp,axiom, % 199.35/199.79 ! [V_y_2,V_x_2,V_R_2,T_b] : % 199.35/199.79 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_equivp__reflp,axiom, % 199.35/199.79 ! [V_x_2,V_R_2,T_b] : % 199.35/199.79 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.35/199.79 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_equivp__def,axiom, % 199.35/199.79 ! [V_R_2,T_b] : % 199.35/199.79 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.35/199.79 <=> ! [B_x,B_y] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 199.35/199.79 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_identity__equivp,axiom, % 199.35/199.79 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Rep__Integ,axiom, % 199.35/199.79 ! [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)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_image__INT,axiom, % 199.35/199.79 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) ) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2)) % 199.35/199.79 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_type__definition__Integ,axiom, % 199.35/199.79 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) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inj__vimage__singleton,axiom, % 199.35/199.79 ! [V_a_2,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimageI,axiom, % 199.35/199.79 ! [T_c,V_B_2,T_b,V_ba_2,V_a_2,V_f_2] : % 199.35/199.79 ( hAPP(V_f_2,V_a_2) = V_ba_2 % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_B_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__INT,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__Un,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__empty,axiom, % 199.35/199.79 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__eq,axiom, % 199.35/199.79 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2))) % 199.35/199.79 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimageD,axiom, % 199.35/199.79 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2))) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimageI2,axiom, % 199.35/199.79 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__Collect__eq,axiom, % 199.35/199.79 ! [V_Pa_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_Pa_2),V_f_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__compose,axiom, % 199.35/199.79 ! [V_x_2,V_f_2,V_g_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_b,T_d,V_f_2),hAPP(c_Set_Ovimage(T_d,T_c,V_g_2),V_x_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__ident,axiom, % 199.35/199.79 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__mono,axiom, % 199.35/199.79 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__Compl,axiom, % 199.35/199.79 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__code,axiom, % 199.35/199.79 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2)) % 199.35/199.79 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__Int,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__Diff,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__UN,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__UNIV,axiom, % 199.35/199.79 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_image__vimage__subset,axiom, % 199.35/199.79 ! [V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))),V_A_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_surj__image__vimage__eq,axiom, % 199.35/199.79 ! [V_A_2,V_f_2,T_b,T_c] : % 199.35/199.79 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = V_A_2 ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__def,axiom, % 199.35/199.79 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(T_c)),V_f_2)),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__singleton__eq,axiom, % 199.35/199.79 ! [V_ba_2,V_f_2,T_c,V_a_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) % 199.35/199.79 <=> hAPP(V_f_2,V_a_2) = V_ba_2 ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__insert,axiom, % 199.35/199.79 ! [V_B_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__vimageD,axiom, % 199.35/199.79 ! [V_F_2,V_h_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 199.35/199.79 => ( hAPP(c_Set_Oimage(T_b,T_c,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__subsetD,axiom, % 199.35/199.79 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] : % 199.35/199.79 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2)),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_image__vimage__eq,axiom, % 199.35/199.79 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__vimageI,axiom, % 199.35/199.79 ! [V_h_2,T_c,V_F_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 199.35/199.79 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inj__vimage__image__eq,axiom, % 199.35/199.79 ! [V_A_2,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__const,axiom, % 199.35/199.79 ! [T_c,V_A_2,V_ca_2,T_b] : % 199.35/199.79 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.35/199.79 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_ca_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 199.35/199.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.35/199.79 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__eq__UN,axiom, % 199.35/199.79 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Ovimage(T_b,T_c,V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__subsetI,axiom, % 199.35/199.79 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__if,axiom, % 199.35/199.79 ! [V_B_2,T_c,V_d_2,V_A_2,V_ca_2,T_b] : % 199.35/199.79 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.35/199.79 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 199.35/199.79 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 199.35/199.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 199.35/199.79 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = V_B_2 ) ) ) % 199.35/199.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 199.35/199.79 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 199.35/199.79 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2) ) % 199.35/199.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 199.35/199.79 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_type__definition_OAbs__image,axiom, % 199.35/199.79 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 199.35/199.79 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 199.35/199.79 => hAPP(c_Set_Oimage(T_c,T_b,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_type__definition_ORep__range,axiom, % 199.35/199.79 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 199.35/199.79 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 199.35/199.79 => hAPP(c_Set_Oimage(T_b,T_c,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_type__definition_OAbs__inject,axiom, % 199.35/199.79 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 199.35/199.79 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 199.35/199.79 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2) % 199.35/199.79 <=> V_x_2 = V_y_2 ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_type__definition_ORep__inverse,axiom, % 199.35/199.79 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 199.35/199.79 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 199.35/199.79 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_type__definition_ORep__inject,axiom, % 199.35/199.79 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 199.35/199.79 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 199.35/199.79 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2) % 199.35/199.79 <=> V_x_2 = V_y_2 ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_type__definition_ORep,axiom, % 199.35/199.79 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 199.35/199.79 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_type__definition_OAbs__inverse,axiom, % 199.35/199.79 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 199.35/199.79 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 199.35/199.79 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inf__fold__inf,axiom, % 199.35/199.79 ! [V_A_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_rel__comp__def,axiom, % 199.35/199.79 ! [V_s_2,V_r_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_d))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBC(T_d,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_d),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_b,T_d)))),c_Product__Type_OPair(T_b,T_d)))),V_r_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_d,T_c)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_d,T_c),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_d,T_c)))),hAPP(c_COMBC(T_d,T_c,tc_prod(T_d,T_c)),c_Product__Type_OPair(T_d,T_c))))),V_s_2))))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_max__extp_Oequations,axiom, % 199.35/199.79 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 199.35/199.79 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 199.35/199.79 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 199.35/199.79 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 & ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 199.35/199.79 => ? [B_xa] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 199.35/199.79 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__Inter,axiom, % 199.35/199.79 ! [V_M_2,T_b] : % 199.35/199.79 ( ? [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2)) % 199.35/199.79 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_InterE,axiom, % 199.35/199.79 ! [V_X_2,V_C_2,V_A_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_InterD,axiom, % 199.35/199.79 ! [V_X_2,V_C_2,V_A_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_rel__compI,axiom, % 199.35/199.79 ! [V_s_2,V_ca_2,T_d,V_r_2,V_ba_2,V_a_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_r_2)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_ba_2),V_ca_2)),V_s_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_a_2),V_ca_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Un__Inter,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_rel__comp__distrib2,axiom, % 199.35/199.79 ! [V_R_2,V_T_2,V_S_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_S_2),V_T_2)),V_R_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_T_2),V_R_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_rel__comp__distrib,axiom, % 199.35/199.79 ! [V_T_2,V_S_2,V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_T_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_rel__comp__empty1,axiom, % 199.35/199.79 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_rel__comp__empty2,axiom, % 199.35/199.79 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_O__assoc,axiom, % 199.35/199.79 ! [V_T_2,V_S_2,V_R_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_d),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_c),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_e,T_d,T_c),V_S_2),V_T_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_rel__comp__mono,axiom, % 199.35/199.79 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_H_2),V_s_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inf__less__iff,axiom, % 199.35/199.79 ! [V_a_2,V_S_2,T_b] : % 199.35/199.79 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 & class_Orderings_Olinorder(T_b) ) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2)) % 199.35/199.79 <=> ? [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 199.35/199.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_le__Inf__iff,axiom, % 199.35/199.79 ! [V_A_2,V_ba_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2))) % 199.35/199.79 <=> ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),B_x)) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_rel__comp__UNION__distrib,axiom, % 199.35/199.79 ! [V_r_2,V_I_2,T_e,V_s_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e),hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2)),V_r_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_rel__comp__UNION__distrib2,axiom, % 199.35/199.79 ! [V_s_2,V_r_2,V_I_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_e),c_Relation_Orel__comp(T_b,T_d,T_c)),V_r_2)),V_s_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inter__lower,axiom, % 199.35/199.79 ! [V_A_2,V_B_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_union__comp__emptyL,axiom, % 199.35/199.79 ! [V_B_2,V_C_2,V_A_2,T_b] : % 199.35/199.79 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 199.35/199.79 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_union__comp__emptyR,axiom, % 199.35/199.79 ! [V_C_2,V_B_2,V_A_2,T_b] : % 199.35/199.79 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 199.35/199.79 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 199.35/199.79 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inter__anti__mono,axiom, % 199.35/199.79 ! [V_A_2,V_B_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inter__empty,axiom, % 199.35/199.79 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inter__insert,axiom, % 199.35/199.79 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inter__UNIV,axiom, % 199.35/199.79 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inf__lower,axiom, % 199.35/199.79 ! [V_A_2,V_x_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)),V_x_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inter__Un__distrib,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inf__singleton,axiom, % 199.35/199.79 ! [V_a_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inf__empty,axiom, % 199.35/199.79 ! [T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inf__UNIV,axiom, % 199.35/199.79 ! [T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inf__insert,axiom, % 199.35/199.79 ! [V_A_2,V_a_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INTER__eq__Inter__image,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inter__image__eq,axiom, % 199.35/199.79 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Int__eq__Inter,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Int__Inter__image,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inter__Un__subset,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inf__binary,axiom, % 199.35/199.79 ! [V_ba_2,V_a_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_ba_2) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inf__Inf__fold__inf,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_B_2),V_A_2) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inf__fin__Inf,axiom, % 199.35/199.79 ! [V_A_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_max__ext__compat,axiom, % 199.35/199.79 ! [V_S_2,V_R_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_min__ext__compat,axiom, % 199.35/199.79 ! [V_S_2,V_R_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_b,V_R_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_pred__comp__rel__comp__eq,axiom, % 199.35/199.79 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d)))),V_s_2)),V_x_2),V_y_2)) % 199.35/199.79 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_reduction__pairI,axiom, % 199.35/199.79 ! [V_S_2,V_R_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_R_2) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2)) % 199.35/199.79 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sup__fold__sup,axiom, % 199.35/199.79 ! [V_A_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__less__than,axiom, % 199.35/199.79 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 199.35/199.79 % 199.35/199.79 fof(fact_pred__comp_Ointros,axiom, % 199.35/199.79 ! [T_d,T_c,T_b,V_ca_2,V_s_2,V_ba_2,V_a_2,V_r_2] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_ba_2)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(V_s_2,V_ba_2),V_ca_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a_2),V_ca_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UnionI,axiom, % 199.35/199.79 ! [V_A_2,V_C_2,V_X_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__empty,axiom, % 199.35/199.79 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__inv__image,axiom, % 199.35/199.79 ! [V_f_2,T_c,V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__lex__prod,axiom, % 199.35/199.79 ! [V_rb_2,T_c,V_ra_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_ra_2) % 199.35/199.79 => ( c_Wellfounded_Owf(T_c,V_rb_2) % 199.35/199.79 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__measure,axiom, % 199.35/199.79 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inter__def,axiom, % 199.35/199.79 ! [V_S_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__comp__self,axiom, % 199.35/199.79 ! [V_R_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_R_2) % 199.35/199.79 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__Union,axiom, % 199.35/199.79 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_b,T_c,V_f_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UN__extend__simps_I8_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UN__simps_I8_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Int__Union2,axiom, % 199.35/199.79 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Int__Union,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_image__Union,axiom, % 199.35/199.79 ! [V_S_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_c,T_b,V_f_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__finite__psubset,axiom, % 199.35/199.79 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__mlex,axiom, % 199.35/199.79 ! [V_f_2,V_R_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_R_2) % 199.35/199.79 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sup__le__iff,axiom, % 199.35/199.79 ! [V_ba_2,V_A_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)),V_ba_2)) % 199.35/199.79 <=> ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_ba_2)) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_less__Sup__iff,axiom, % 199.35/199.79 ! [V_S_2,V_a_2,T_b] : % 199.35/199.79 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 & class_Orderings_Olinorder(T_b) ) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2))) % 199.35/199.79 <=> ? [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 199.35/199.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__pair__less,axiom, % 199.35/199.79 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__Int1,axiom, % 199.35/199.79 ! [V_r_H_2,V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__Int2,axiom, % 199.35/199.79 ! [V_r_H_2,V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_pred__comp_Oequations,axiom, % 199.35/199.79 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a1_2),V_a3_2)) % 199.35/199.79 <=> ? [B_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b)) % 199.35/199.79 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__subset,axiom, % 199.35/199.79 ! [V_p_2,V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_p_2),V_r_2)) % 199.35/199.79 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Union__Pow__eq,axiom, % 199.35/199.79 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OPow(T_b),V_A_2)) = V_A_2 ). % 199.35/199.79 % 199.35/199.79 fof(fact_min__ext__wf,axiom, % 199.35/199.79 ! [V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__less,axiom, % 199.35/199.79 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)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_max__ext__wf,axiom, % 199.35/199.79 ! [V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Field__Union,axiom, % 199.35/199.79 ! [V_R_2,T_b] : hAPP(c_Relation_OField(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Relation_OField(T_b)),V_R_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__simps_I8_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_INT__extend__simps_I8_J,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__not__refl,axiom, % 199.35/199.79 ! [V_a_2,V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__not__sym,axiom, % 199.35/199.79 ! [V_x_2,V_a_2,V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2)) % 199.35/199.79 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__asym,axiom, % 199.35/199.79 ! [V_x_2,V_a_2,V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2)) % 199.35/199.79 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__irrefl,axiom, % 199.35/199.79 ! [V_a_2,V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Union__disjoint,axiom, % 199.35/199.79 ! [V_A_2,V_C_2,T_b] : % 199.35/199.79 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 <=> ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2)) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Union__upper,axiom, % 199.35/199.79 ! [V_A_2,V_B_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__int__ge__less__than2,axiom, % 199.35/199.79 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__int__ge__less__than,axiom, % 199.35/199.79 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__acc__iff,axiom, % 199.35/199.79 ! [V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_acc__wfD,axiom, % 199.35/199.79 ! [V_x_2,V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__no__loop,axiom, % 199.35/199.79 ! [V_R_2,T_b] : % 199.35/199.79 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 199.35/199.79 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__union__merge,axiom, % 199.35/199.79 ! [V_S_2,V_R_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) % 199.35/199.79 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_S_2),V_R_2))),V_S_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Union__empty,axiom, % 199.35/199.79 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Union__mono,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Union__quotient,axiom, % 199.35/199.79 ! [V_r_2,V_A_2,T_b] : % 199.35/199.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.79 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = V_A_2 ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Union__insert,axiom, % 199.35/199.79 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__UnionD,axiom, % 199.35/199.79 ! [V_A_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_subset__Pow__Union,axiom, % 199.35/199.79 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Union__UNIV,axiom, % 199.35/199.79 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Union__Un__distrib,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UNION__eq__Union__image,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Union__image__eq,axiom, % 199.35/199.79 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sup__upper,axiom, % 199.35/199.79 ! [V_A_2,V_x_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sup__empty,axiom, % 199.35/199.79 ! [T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sup__singleton,axiom, % 199.35/199.79 ! [V_a_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sup__insert,axiom, % 199.35/199.79 ! [V_A_2,V_a_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sup__UNIV,axiom, % 199.35/199.79 ! [T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__iff__no__infinite__down__chain,axiom, % 199.35/199.79 ! [V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 <=> ~ ? [B_f] : % 199.35/199.79 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wfE__pf,axiom, % 199.35/199.79 ! [V_A_2,V_R_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_R_2) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),V_A_2))) % 199.35/199.79 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__union__compatible,axiom, % 199.35/199.79 ! [V_S_2,V_R_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_R_2) % 199.35/199.79 => ( c_Wellfounded_Owf(T_b,V_S_2) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2)) % 199.35/199.79 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Un__eq__Union,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Un__Union__image,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf,axiom, % 199.35/199.79 ! [T_b] : % 199.35/199.79 ( class_Orderings_Owellorder(T_b) % 199.35/199.79 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_b)))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_reduction__pair__def,axiom, % 199.35/199.79 ! [V_Pa_2,T_b] : % 199.35/199.79 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 199.35/199.79 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)) % 199.35/199.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_reduction__pair__lemma,axiom, % 199.35/199.79 ! [V_S_2,V_R_2,V_Pa_2,T_b] : % 199.35/199.79 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) % 199.35/199.79 => ( c_Wellfounded_Owf(T_b,V_S_2) % 199.35/199.79 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Union__Int__subset,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sup__binary,axiom, % 199.35/199.79 ! [V_ba_2,V_a_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_ba_2) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_sup__Sup__fold__sup,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_B_2),V_A_2) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sup__fin__Sup,axiom, % 199.35/199.79 ! [V_A_2,T_b] : % 199.35/199.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__lenlex,axiom, % 199.35/199.79 ! [V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__if__measure,axiom, % 199.35/199.79 ! [T_b,V_g_2,V_f_2,V_Pa_2] : % 199.35/199.79 ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.35/199.79 => 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))) ) % 199.35/199.79 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_max__ext_Ointros,axiom, % 199.35/199.79 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 199.35/199.79 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 199.35/199.79 => ? [B_xa] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 199.35/199.79 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Union__def,axiom, % 199.35/199.79 ! [V_S_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_pred__nat__def,axiom, % 199.35/199.79 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))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__lex,axiom, % 199.35/199.79 ! [V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__Union,axiom, % 199.35/199.79 ! [V_A_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) % 199.35/199.79 => ( ! [B_M] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) ) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__pred__nat,axiom, % 199.35/199.79 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 199.35/199.79 % 199.35/199.79 fof(fact_lex__def,axiom, % 199.35/199.79 ! [V_r_2,T_b] : c_List_Olex(T_b,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_b,V_r_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_insert__partition,axiom, % 199.35/199.79 ! [V_F_2,V_x_2,T_b] : % 199.35/199.79 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))) % 199.35/199.79 => ! [B_xa] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))) % 199.35/199.79 => ( B_x != B_xa % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__lexn,axiom, % 199.35/199.79 ! [V_n_2,V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_lexn_Osimps_I1_J,axiom, % 199.35/199.79 ! [V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_card__partition,axiom, % 199.35/199.79 ! [V_k_2,V_C_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 199.35/199.79 => ( ! [B_c] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2)) % 199.35/199.79 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 ) % 199.35/199.79 => ( ! [B_c1] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2)) % 199.35/199.79 => ! [B_c2] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2)) % 199.35/199.79 => ( B_c1 != B_c2 % 199.35/199.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) % 199.35/199.79 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)) ) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__same__fst,axiom, % 199.35/199.79 ! [T_b,V_R_2,T_c,V_Pa_2] : % 199.35/199.79 ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.35/199.79 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) ) % 199.35/199.79 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Nitpick_Ozero__frac__def,axiom, % 199.35/199.79 ! [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))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Nitpick_Oone__frac__def,axiom, % 199.35/199.79 ! [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))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Nitpick_Onumber__of__frac__def,axiom, % 199.35/199.79 ! [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))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Nitpick_Ofrac__def,axiom, % 199.35/199.79 ! [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)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_inj__on__Inter,axiom, % 199.35/199.79 ! [V_f_2,T_c,T_b,V_S_2] : % 199.35/199.79 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 199.35/199.79 => ( ! [B_A] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2)) % 199.35/199.79 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) ) % 199.35/199.79 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Range__Collect__split,axiom, % 199.35/199.79 ! [V_Pa_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Inter__subset,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b] : % 199.35/199.79 ( ! [B_X] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) ) % 199.35/199.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_RangeI,axiom, % 199.35/199.79 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_r_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Range__Id__on,axiom, % 199.35/199.79 ! [V_A_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ). % 199.35/199.79 % 199.35/199.79 fof(fact_Range__Diff__subset,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2))),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Range__Union,axiom, % 199.35/199.79 ! [V_S_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_c,T_b)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Range__empty,axiom, % 199.35/199.79 ! [T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Range__empty__iff,axiom, % 199.35/199.79 ! [V_r_2,T_b,T_c] : % 199.35/199.79 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Range__Un__eq,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__Range,axiom, % 199.35/199.79 ! [V_r_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_snd__eq__Range,axiom, % 199.35/199.79 ! [V_R_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_b,c_Product__Type_Osnd(T_c,T_b)),V_R_2) = hAPP(c_Relation_ORange(T_c,T_b),V_R_2) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Range__iff,axiom, % 199.35/199.79 ! [V_r_2,T_c,V_a_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 199.35/199.79 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),V_a_2)),V_r_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Range__insert,axiom, % 199.35/199.79 ! [V_r_2,V_ba_2,V_a_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_ba_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Range__Int__subset,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_RangeP__Range__eq,axiom, % 199.35/199.79 ! [V_x_2,V_r_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2)) % 199.35/199.79 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_RangeE,axiom, % 199.35/199.79 ! [V_r_2,T_c,V_ba_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 199.35/199.79 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_ba_2)),V_r_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_wf__Un,axiom, % 199.35/199.79 ! [V_s_2,V_r_2,T_b] : % 199.35/199.79 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.79 => ( c_Wellfounded_Owf(T_b,V_s_2) % 199.35/199.79 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_RangeP_Ointros,axiom, % 199.35/199.79 ! [T_c,T_b,V_ba_2,V_a_2,V_r_2] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_ba_2)) % 199.35/199.79 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_ba_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_DomainI,axiom, % 199.35/199.79 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_r_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_RangeP_Oequations,axiom, % 199.35/199.79 ! [V_a2_2,V_r_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2)) % 199.35/199.79 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Domain__Id__on,axiom, % 199.35/199.79 ! [V_A_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ). % 199.35/199.79 % 199.35/199.79 fof(fact_Domain__Diff__subset,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2))),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Domain__Union,axiom, % 199.35/199.79 ! [V_S_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_b,T_c)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Domain__empty__iff,axiom, % 199.35/199.79 ! [V_r_2,T_c,T_b] : % 199.35/199.79 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Domain__empty,axiom, % 199.35/199.79 ! [T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Domain__mono,axiom, % 199.35/199.79 ! [V_s_2,V_r_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_s_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Domain__Un__eq,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__Domain,axiom, % 199.35/199.79 ! [V_r_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_fst__eq__Domain,axiom, % 199.35/199.79 ! [V_R_2,T_c,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),V_R_2) = hAPP(c_Relation_ODomain(T_b,T_c),V_R_2) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Domain__iff,axiom, % 199.35/199.79 ! [V_r_2,T_c,V_a_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 199.35/199.79 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Domain__insert,axiom, % 199.35/199.79 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Domain__Int__subset,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Field__def,axiom, % 199.35/199.79 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_r_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Domain__Collect__split,axiom, % 199.35/199.79 ! [V_Pa_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_Pa_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_DomainP__Domain__eq,axiom, % 199.35/199.79 ! [V_x_2,V_r_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2)) % 199.35/199.79 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_DomainE,axiom, % 199.35/199.79 ! [V_r_2,T_c,V_a_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 199.35/199.79 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_image__split__eq__Sigma,axiom, % 199.35/199.79 ! [V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Set_Oimage(T_d,tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_Oimage(T_d,T_c,V_g_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_b),c_Set_Ovimage(T_d,T_b,V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_A_2))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_DomainP_Ointros,axiom, % 199.35/199.79 ! [T_c,T_b,V_ba_2,V_a_2,V_r_2] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_ba_2)) % 199.35/199.79 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_SigmaI,axiom, % 199.35/199.79 ! [V_B_2,V_ba_2,T_c,V_A_2,V_a_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(V_B_2,V_a_2))) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sigma__Union,axiom, % 199.35/199.79 ! [V_B_2,V_X_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Product__Type_OSigma(T_b,T_c)),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Times__eq__cancel2,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 199.35/199.79 => ( hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)) % 199.35/199.79 <=> V_A_2 = V_B_2 ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sigma__empty1,axiom, % 199.35/199.79 ! [V_B_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_card__cartesian__product,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setsum__cartesian__product,axiom, % 199.35/199.79 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 199.35/199.79 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Times__empty,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b] : % 199.35/199.79 ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) % 199.35/199.79 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sigma__empty2,axiom, % 199.35/199.79 ! [V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Compl__Times__UNIV2,axiom, % 199.35/199.79 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Compl__Times__UNIV1,axiom, % 199.35/199.79 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setprod__cartesian__product,axiom, % 199.35/199.79 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 199.35/199.79 ( class_Groups_Ocomm__monoid__mult(T_b) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sigma__Un__distrib1,axiom, % 199.35/199.79 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Times__Un__distrib1,axiom, % 199.35/199.79 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sigma__Un__distrib2,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_rel__comp__subset__Sigma,axiom, % 199.35/199.79 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_B_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_C_2)))) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_C_2)))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_swap__product,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_b,T_c)),hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__cartesian__product,axiom, % 199.35/199.79 ! [V_B_2,T_c,V_A_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_equiv__type,axiom, % 199.35/199.79 ! [V_r_2,V_A_2,T_b] : % 199.35/199.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sigma__Int__distrib1,axiom, % 199.35/199.79 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Times__Int__distrib1,axiom, % 199.35/199.79 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sigma__Int__distrib2,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Id__on__subset__Times,axiom, % 199.35/199.79 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId__on(T_b,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sigma__Diff__distrib2,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Times__Diff__distrib1,axiom, % 199.35/199.79 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sigma__Diff__distrib1,axiom, % 199.35/199.79 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_DomainP_Oequations,axiom, % 199.35/199.79 ! [V_a1_2,V_r_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2)) % 199.35/199.79 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UNIV__Times__UNIV,axiom, % 199.35/199.79 ! [T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_SigmaE2,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_ba_2,V_a_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 199.35/199.79 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.79 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(V_B_2,V_a_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_SigmaD2,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_ba_2,V_a_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(V_B_2,V_a_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_SigmaD1,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_ba_2,V_a_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_mem__Sigma__iff,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_ba_2,V_a_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 199.35/199.79 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.79 & hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(V_B_2,V_a_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_card__cartesian__product__singleton,axiom, % 199.35/199.79 ! [V_A_2,V_x_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Times__subset__cancel2,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)))) % 199.35/199.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Image__subset,axiom, % 199.35/199.79 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_C_2)),V_B_2)) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__cartesian__productD1,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) % 199.35/199.79 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__cartesian__productD2,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) % 199.35/199.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_SetCompr__Sigma__eq,axiom, % 199.35/199.79 ! [V_Q_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Q_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Collect__split,axiom, % 199.35/199.79 ! [V_Q_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Q_2))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_fst__image__times,axiom, % 199.35/199.79 ! [V_A_2,T_c,T_b,V_B_2] : % 199.35/199.79 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 199.35/199.79 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = V_A_2 ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_snd__image__times,axiom, % 199.35/199.79 ! [V_B_2,T_c,T_b,V_A_2] : % 199.35/199.79 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 199.35/199.79 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = V_B_2 ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_insert__times__insert,axiom, % 199.35/199.79 ! [V_B_2,V_ba_2,V_A_2,V_a_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_ba_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_ba_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__equiv__class,axiom, % 199.35/199.79 ! [V_X_2,V_r_2,V_A_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__Times,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,tc_prod(T_c,T_d),V_f_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,T_b,c_Product__Type_Ofst(T_c,T_d)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_d,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_d,T_b,c_Product__Type_Osnd(T_c,T_d)),V_f_2)),V_B_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_UN__Times__distrib,axiom, % 199.35/199.79 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_c,T_b,T_e,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_d,T_e),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_d),V_B_2))),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_d),c_Product__Type_OSigma(T_b,T_c)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_e),c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_F_2))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Sigma__def,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_c),c_Set_Oinsert(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))))) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__quotient,axiom, % 199.35/199.79 ! [V_r_2,V_A_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setsum__mult__setsum__if__inj,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : % 199.35/199.79 ( class_Rings_Osemiring__0(T_d) % 199.35/199.79 => ( c_Fun_Oinj__on(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) % 199.35/199.79 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_d),c_Fun_Oid(T_d)),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),T_d),c_COMBB(T_d,tc_HOL_Obool,T_c)),c_fequal))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))))))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_Ex__inj__on__UNION__Sigma,axiom, % 199.35/199.79 ! [V_A_2,V_I_2,T_c,T_b] : % 199.35/199.79 ? [B_f] : % 199.35/199.79 ( c_Fun_Oinj__on(T_b,tc_prod(T_c,T_b),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) % 199.35/199.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,tc_prod(T_c,T_b),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_I_2),V_A_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_fold__image__Sigma,axiom, % 199.35/199.79 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 199.35/199.79 ( class_Groups_Ocomm__monoid__mult(T_d) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 199.35/199.79 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBC(T_b,T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),T_b),c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d))),V_g_2)),c_Groups_Oone__class_Oone(T_d))),V_B_2)),c_Groups_Oone__class_Oone(T_d)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,tc_prod(T_b,T_c),c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_g_2)),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_image__id,axiom, % 199.35/199.79 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ). % 199.35/199.79 % 199.35/199.79 fof(fact_apfst__id,axiom, % 199.35/199.79 ! [T_c,T_b] : c_Product__Type_Oapfst(T_b,T_b,T_c,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_id__def,axiom, % 199.35/199.79 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ). % 199.35/199.79 % 199.35/199.79 fof(fact_o__eq__id__dest,axiom, % 199.35/199.79 ! [V_v_2,V_ca_2,V_ba_2,V_a_2,T_b,T_c,T_d] : % 199.35/199.79 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_ba_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_ca_2) % 199.35/199.79 => hAPP(V_a_2,hAPP(V_ba_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_id__o,axiom, % 199.35/199.79 ! [V_g_2,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_g_2) = V_g_2 ). % 199.35/199.79 % 199.35/199.79 fof(fact_o__id,axiom, % 199.35/199.79 ! [V_f_2,T_c,T_b] : hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_f_2),c_Fun_Oid(T_b)) = V_f_2 ). % 199.35/199.79 % 199.35/199.79 fof(fact_apsnd__id,axiom, % 199.35/199.79 ! [T_b,T_c] : c_Product__Type_Oapsnd(T_c,T_c,T_b,c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_id__apply,axiom, % 199.35/199.79 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 199.35/199.79 % 199.35/199.79 fof(fact_inj__on__id,axiom, % 199.35/199.79 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ). % 199.35/199.79 % 199.35/199.79 fof(fact_vimage__id,axiom, % 199.35/199.79 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ). % 199.35/199.79 % 199.35/199.79 fof(fact_of__int__eq__id,axiom, % 199.35/199.79 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ). % 199.35/199.79 % 199.35/199.79 fof(fact_surj__id,axiom, % 199.35/199.79 ! [T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_folding_Oempty,axiom, % 199.35/199.79 ! [V_F_2,V_f_2,T_c,T_b] : % 199.35/199.79 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 199.35/199.79 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_split__Pair,axiom, % 199.35/199.79 ! [T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setsum__reindex__id,axiom, % 199.35/199.79 ! [V_B_2,V_f_2,T_b,T_c] : % 199.35/199.79 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.79 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setprod__reindex__id,axiom, % 199.35/199.79 ! [V_B_2,V_f_2,T_b,T_c] : % 199.35/199.79 ( class_Groups_Ocomm__monoid__mult(T_c) % 199.35/199.79 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setprod__Sigma,axiom, % 199.35/199.79 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 199.35/199.79 ( class_Groups_Ocomm__monoid__mult(T_d) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_setsum__Sigma,axiom, % 199.35/199.79 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 199.35/199.79 ( class_Groups_Ocomm__monoid__add(T_d) % 199.35/199.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 199.35/199.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_card__SigmaI,axiom, % 199.35/199.79 ! [V_B_2,T_c,V_A_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => ( ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 199.35/199.79 => hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),V_B_2)),V_A_2) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_finite__SigmaI,axiom, % 199.35/199.79 ! [V_B_2,T_c,V_A_2,T_b] : % 199.35/199.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.79 => ( ! [B_a] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 199.35/199.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_SigmaE,axiom, % 199.35/199.79 ! [V_B_2,V_A_2,V_ca_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_ca_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 199.35/199.79 => ~ ! [B_x] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.79 => ! [B_y] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x))) % 199.35/199.79 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_map__pair__surj,axiom, % 199.35/199.79 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] : % 199.35/199.79 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.79 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) % 199.35/199.79 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)) ) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_map__pair__imageI,axiom, % 199.35/199.79 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_ba_2,V_a_2,T_c,T_b] : % 199.35/199.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_R_2)) % 199.35/199.79 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_ba_2))),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),tc_prod(T_d,T_e),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)),V_R_2))) ) ). % 199.35/199.79 % 199.35/199.79 fof(fact_map__pair__ident,axiom, % 199.35/199.79 ! [V_z_2,T_c,T_b] : hAPP(c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)),V_z_2) = V_z_2 ). % 199.35/199.79 % 199.35/199.79 fof(fact_map__pair__simp,axiom, % 199.35/199.79 ! [V_ba_2,V_a_2,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_ba_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_ba_2)) ). % 199.35/199.79 % 199.35/199.79 fof(fact_fst__map__pair,axiom, % 199.35/199.79 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_snd__prod__fun,axiom, % 199.35/199.80 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Omap__pair(T_d,T_c,T_e,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_snd__comp__map__pair,axiom, % 199.35/199.80 ! [V_g_2,V_f_2,T_c,T_b,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_d),T_d,tc_prod(T_b,T_c),c_Product__Type_Osnd(T_e,T_d)),c_Product__Type_Omap__pair(T_b,T_e,T_c,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_d,tc_prod(T_b,T_c),V_g_2),c_Product__Type_Osnd(T_b,T_c)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_fst__comp__map__pair,axiom, % 199.35/199.80 ! [V_g_2,V_f_2,T_c,T_b,T_e,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_e),T_d,tc_prod(T_b,T_c),c_Product__Type_Ofst(T_d,T_e)),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,tc_prod(T_b,T_c),V_f_2),c_Product__Type_Ofst(T_b,T_c)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_map__pair_Ocompositionality,axiom, % 199.35/199.80 ! [V_prod_2,V_i_2,V_h_2,T_g,T_f,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_f,T_b,T_g,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_e,T_c,T_g,V_g_2),V_i_2)),V_prod_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_map__pair__compose,axiom, % 199.35/199.80 ! [V_g2_2,V_g1_2,T_g,V_f2_2,V_f1_2,T_f,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_f2_2,V_g2_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_map__pair_Ocomp,axiom, % 199.35/199.80 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_c,T_b,T_e,T_d,T_g,T_f] : hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g_2),V_i_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_map__pair_Oidentity,axiom, % 199.35/199.80 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_apfst__def,axiom, % 199.35/199.80 ! [V_f_2,T_c,T_d,T_b] : c_Product__Type_Oapfst(T_b,T_d,T_c,V_f_2) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_c,V_f_2,c_Fun_Oid(T_c)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_apsnd__def,axiom, % 199.35/199.80 ! [V_f_2,T_b,T_d,T_c] : c_Product__Type_Oapsnd(T_c,T_d,T_b,V_f_2) = c_Product__Type_Omap__pair(T_b,T_b,T_c,T_d,c_Fun_Oid(T_b),V_f_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_map__pair_Oid,axiom, % 199.35/199.80 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_Fun_Oid(T_b),c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_map__pair__def,axiom, % 199.35/199.80 ! [V_g_2,V_f_2,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_d,T_e)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),T_b),c_COMBB(T_e,tc_prod(T_d,T_e),T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_e,tc_prod(T_d,T_e)),T_b),c_Product__Type_OPair(T_d,T_e)),V_f_2))),V_g_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_map__pair__surj__on,axiom, % 199.35/199.80 ! [V_B_H_2,V_B_2,V_g_2,T_d,T_e,V_A_H_2,V_A_2,V_f_2,T_b,T_c] : % 199.35/199.80 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 199.35/199.80 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2 % 199.35/199.80 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_H_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_H_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wf__map__pair__image,axiom, % 199.35/199.80 ! [V_f_2,T_c,V_r_2,T_b] : % 199.35/199.80 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.80 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.80 => c_Wellfounded_Owf(T_c,hAPP(c_Set_Oimage(tc_prod(T_b,T_b),tc_prod(T_c,T_c),c_Product__Type_Omap__pair(T_b,T_c,T_b,T_c,V_f_2,V_f_2)),V_r_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_map__pair__inj__on,axiom, % 199.35/199.80 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] : % 199.35/199.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.35/199.80 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2) % 199.35/199.80 => c_Fun_Oinj__on(tc_prod(T_b,T_d),tc_prod(T_c,T_e),c_Product__Type_Omap__pair(T_b,T_c,T_d,T_e,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_prod__fun__imageE,axiom, % 199.35/199.80 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_ca_2,T_c,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_ca_2),hAPP(c_Set_Oimage(tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2)),V_R_2))) % 199.35/199.80 => ~ ! [B_x,B_y] : % 199.35/199.80 ( V_ca_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y)) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),B_x),B_y)),V_R_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_refl__on__def,axiom, % 199.35/199.80 ! [V_r_2,V_A_2,T_b] : % 199.35/199.80 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.35/199.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 199.35/199.80 & ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_nat0__intermed__int__val,axiom, % 199.35/199.80 ! [V_k_2,V_f_2,V_n_2] : % 199.35/199.80 ( ! [B_i] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 199.35/199.80 => 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))) ) % 199.35/199.80 => ( 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)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 199.35/199.80 => ? [B_i] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 199.35/199.80 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_refl__on__Id__on,axiom, % 199.35/199.80 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_refl__on__empty,axiom, % 199.35/199.80 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_refl__on__Un,axiom, % 199.35/199.80 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 199.35/199.80 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.35/199.80 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 199.35/199.80 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_refl__on__Int,axiom, % 199.35/199.80 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 199.35/199.80 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.35/199.80 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 199.35/199.80 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_refl__onD,axiom, % 199.35/199.80 ! [V_a_2,V_r_2,V_A_2,T_b] : % 199.35/199.80 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_refl__onD1,axiom, % 199.35/199.80 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 199.35/199.80 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_refl__onD2,axiom, % 199.35/199.80 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 199.35/199.80 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_reflp__def,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( c_Predicate_Oreflp(T_b,V_r_2) % 199.35/199.80 <=> c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_refl__onI,axiom, % 199.35/199.80 ! [V_A_2,V_r_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 199.35/199.80 => ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) % 199.35/199.80 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_int__val__lemma,axiom, % 199.35/199.80 ! [V_k_2,V_f_2,V_n_2] : % 199.35/199.80 ( ! [B_i] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 199.35/199.80 => 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))) ) % 199.35/199.80 => ( 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)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 199.35/199.80 => ? [B_i] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 199.35/199.80 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_reflpE,axiom, % 199.35/199.80 ! [V_x_2,V_r_2,T_b] : % 199.35/199.80 ( c_Predicate_Oreflp(T_b,V_r_2) % 199.35/199.80 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wfP__def,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( c_Wellfounded_OwfP(T_b,V_r_2) % 199.35/199.80 <=> c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_setprod__pos__nat,axiom, % 199.35/199.80 ! [V_f_2,V_S_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 199.35/199.80 => ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 199.35/199.80 => 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))) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Rep__Integ__cases,axiom, % 199.35/199.80 ! [V_y_2] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 199.35/199.80 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wfP__empty,axiom, % 199.35/199.80 ! [T_b] : c_Wellfounded_OwfP(T_b,hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wfP__accp__iff,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( c_Wellfounded_OwfP(T_b,V_r_2) % 199.35/199.80 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_accp__wfPD,axiom, % 199.35/199.80 ! [V_x_2,V_r_2,T_b] : % 199.35/199.80 ( c_Wellfounded_OwfP(T_b,V_r_2) % 199.35/199.80 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wfP__subset,axiom, % 199.35/199.80 ! [V_p_2,V_r_2,T_b] : % 199.35/199.80 ( c_Wellfounded_OwfP(T_b,V_r_2) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_p_2),V_r_2)) % 199.35/199.80 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wf__in__rel,axiom, % 199.35/199.80 ! [V_R_2,T_b] : % 199.35/199.80 ( c_Wellfounded_Owf(T_b,V_R_2) % 199.35/199.80 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wfP__wf__eq,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)) % 199.35/199.80 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wfP__acyclicP,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( c_Wellfounded_OwfP(T_b,V_r_2) % 199.35/199.80 => c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Rep__Integ__induct,axiom, % 199.35/199.80 ! [V_Pa_2,V_y_2] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 199.35/199.80 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x))) % 199.35/199.80 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_inj__on__INTER,axiom, % 199.35/199.80 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] : % 199.35/199.80 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.80 => ( ! [B_i] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2)) % 199.35/199.80 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) ) % 199.35/199.80 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_acyclic__subset,axiom, % 199.35/199.80 ! [V_r_2,V_s_2,T_b] : % 199.35/199.80 ( c_Wellfounded_Oacyclic(T_b,V_s_2) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 199.35/199.80 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wf__acyclic,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.80 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wf__iff__acyclic__if__finite,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 199.35/199.80 => ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.80 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_finite__acyclic__wf,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 199.35/199.80 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 199.35/199.80 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Nitpick_Owf_H__def,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( c_Nitpick_Owf_H(T_b,V_r_2) % 199.35/199.80 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 199.35/199.80 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 199.35/199.80 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom, % 199.35/199.80 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 199.35/199.80 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 199.35/199.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.35/199.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.35/199.80 => ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) % 199.35/199.80 => hAPP(V_g_2,B_x) = V_z_2 ) % 199.35/199.80 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_refl__on__def_H,axiom, % 199.35/199.80 ! [V_r_2,V_A_2,T_b] : % 199.35/199.80 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.35/199.80 <=> ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),B_x)) ) % 199.35/199.80 & ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Powp__def,axiom, % 199.35/199.80 ! [V_B_2,V_A_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2)) % 199.35/199.80 <=> ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 199.35/199.80 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_INFI__bool__eq,axiom, % 199.35/199.80 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ). % 199.35/199.80 % 199.35/199.80 fof(fact_ball__empty,axiom, % 199.35/199.80 ! [V_Pa_2,T_b,B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 199.35/199.80 => hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Collect__ball__eq,axiom, % 199.35/199.80 ! [V_Pa_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_Pa_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_Pa_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_congruent__def,axiom, % 199.35/199.80 ! [V_f_2,V_r_2,T_c,T_b] : % 199.35/199.80 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 199.35/199.80 <=> ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_INTER__def,axiom, % 199.35/199.80 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_member(T_b))),V_B_2)))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Inf__Sup,axiom, % 199.35/199.80 ! [V_A_2,T_b] : % 199.35/199.80 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.80 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_b))))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Sup__Inf,axiom, % 199.35/199.80 ! [V_A_2,T_b] : % 199.35/199.80 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.80 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b)))))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Abs__Integ__cases,axiom, % 199.35/199.80 ! [V_x_2] : % 199.35/199.80 ~ ! [B_y] : % 199.35/199.80 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Abs__Integ__induct,axiom, % 199.35/199.80 ! [V_x_2,V_Pa_2] : % 199.35/199.80 ( ! [B_y] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) % 199.35/199.80 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) ) % 199.35/199.80 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wfP__SUP,axiom, % 199.35/199.80 ! [T_b,V_r_2,T_c] : % 199.35/199.80 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i)) % 199.35/199.80 => ( ! [B_i,B_j] : % 199.35/199.80 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j) % 199.35/199.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Predicate_ODomainP(T_c,T_c,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_c,T_c,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 199.35/199.80 => c_Wellfounded_OwfP(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Inter__eq,axiom, % 199.35/199.80 ! [V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_hoare__valids__def,axiom, % 199.35/199.80 ! [V_ts_2,V_Ga_2,T_b] : % 199.35/199.80 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,V_ts_2) % 199.35/199.80 <=> ! [B_n] : % 199.35/199.80 ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_Ga_2)) % 199.35/199.80 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) % 199.35/199.80 => ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2)) % 199.35/199.80 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_mem__splitE,axiom, % 199.35/199.80 ! [V_p_2,V_ca_2,T_d,T_c,V_z_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_ca_2),V_p_2))) % 199.35/199.80 => ~ ! [B_x,B_y] : % 199.35/199.80 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_ca_2,B_x),B_y))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_mem__splitI2,axiom, % 199.35/199.80 ! [V_ca_2,V_z_2,T_d,T_c,T_b,V_p_2] : % 199.35/199.80 ( ! [B_a,B_b] : % 199.35/199.80 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_ca_2,B_a),B_b))) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_ca_2),V_p_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_triples__valid__Suc,axiom, % 199.35/199.80 ! [V_n_2,V_ts_2,T_b] : % 199.35/199.80 ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2)) % 199.35/199.80 => c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),B_x) ) % 199.35/199.80 => ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2)) % 199.35/199.80 => c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,B_x) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_triple__valid__Suc,axiom, % 199.35/199.80 ! [V_t,V_n,T_a] : % 199.35/199.80 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t) % 199.35/199.80 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_setsum__SucD,axiom, % 199.35/199.80 ! [V_n_2,V_A_2,V_f_2,T_b] : % 199.35/199.80 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2) % 199.35/199.80 => ? [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.80 & 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))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Eps__split,axiom, % 199.35/199.80 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_some__sym__eq__trivial,axiom, % 199.35/199.80 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 199.35/199.80 % 199.35/199.80 fof(fact_some__eq__trivial,axiom, % 199.35/199.80 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ). % 199.35/199.80 % 199.35/199.80 fof(fact_some__eq__ex,axiom, % 199.35/199.80 ! [T_b,V_Pa_2] : % 199.35/199.80 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) % 199.35/199.80 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_someI__ex,axiom, % 199.35/199.80 ! [T_b,V_Pa_2] : % 199.35/199.80 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 199.35/199.80 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_tfl__some,axiom, % 199.35/199.80 ! [T_b,B_P] : % 199.35/199.80 ( ? [B_x] : hBOOL(hAPP(B_P,B_x)) % 199.35/199.80 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_someI,axiom, % 199.35/199.80 ! [T_b,V_x_2,V_Pa_2] : % 199.35/199.80 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.80 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_exE__some,axiom, % 199.35/199.80 ! [T_b,V_ca_2,V_Pa_2] : % 199.35/199.80 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 199.35/199.80 => ( V_ca_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2) % 199.35/199.80 => hBOOL(hAPP(V_Pa_2,V_ca_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_split__paired__Eps,axiom, % 199.35/199.80 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_Pa_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Eps__split__eq,axiom, % 199.35/199.80 ! [V_y_2,V_x_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_nat__mod__eq__lemma,axiom, % 199.35/199.80 ! [V_y,V_n,V_x] : % 199.35/199.80 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x)) % 199.35/199.80 => ? [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)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wfI__pf,axiom, % 199.35/199.80 ! [V_R_2,T_b] : % 199.35/199.80 ( ! [B_A] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),B_A))) % 199.35/199.80 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 199.35/199.80 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Sigma__mono,axiom, % 199.35/199.80 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 199.35/199.80 => ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_C_2),V_D_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_not__acc__down,axiom, % 199.35/199.80 ! [V_R_2,V_x_2,T_b] : % 199.35/199.80 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2))) % 199.35/199.80 => ~ ! [B_z] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_x_2)),V_R_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_acc_OaccI,axiom, % 199.35/199.80 ! [V_r_2,V_x_2,T_b] : % 199.35/199.80 ( ! [B_y] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_x_2)),V_r_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_max__ext_Osimps,axiom, % 199.35/199.80 ! [V_R_2,V_a2_2,V_a1_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) % 199.35/199.80 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 199.35/199.80 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 199.35/199.80 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.80 & ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 199.35/199.80 => ? [B_xa] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 199.35/199.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_min__max_Ofold__sup__le__sup,axiom, % 199.35/199.80 ! [V_ca_2,V_ba_2,V_A_2,T_b] : % 199.35/199.80 ( class_Orderings_Olinorder(T_b) % 199.35/199.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.80 => ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_ba_2)) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_ca_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_ba_2),V_ca_2))) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_min__max_Oinf__le__fold__inf,axiom, % 199.35/199.80 ! [V_ca_2,V_ba_2,V_A_2,T_b] : % 199.35/199.80 ( class_Orderings_Olinorder(T_b) % 199.35/199.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.80 => ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),B_x)) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_ba_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_ca_2),V_A_2))) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_mod__induct__0,axiom, % 199.35/199.80 ! [V_i_2,V_Pa_2,V_p_2] : % 199.35/199.80 ( ! [B_i] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2)) % 199.35/199.80 => ( hBOOL(hAPP(V_Pa_2,B_i)) % 199.35/199.80 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) ) % 199.35/199.80 => ( hBOOL(hAPP(V_Pa_2,V_i_2)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2)) % 199.35/199.80 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_InterI,axiom, % 199.35/199.80 ! [V_A_2,V_C_2,T_b] : % 199.35/199.80 ( ! [B_X] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Max__eqI,axiom, % 199.35/199.80 ! [V_x_2,V_A_2,T_b] : % 199.35/199.80 ( class_Orderings_Olinorder(T_b) % 199.35/199.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.80 => ( ! [B_y] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) ) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.80 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Min__eqI,axiom, % 199.35/199.80 ! [V_x_2,V_A_2,T_b] : % 199.35/199.80 ( class_Orderings_Olinorder(T_b) % 199.35/199.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.80 => ( ! [B_y] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) ) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.80 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_inf__le__fold__inf,axiom, % 199.35/199.80 ! [V_ca_2,V_ba_2,V_A_2,T_b] : % 199.35/199.80 ( class_Lattices_Osemilattice__inf(T_b) % 199.35/199.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.80 => ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),B_x)) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_ba_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_ca_2),V_A_2))) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_fold__sup__le__sup,axiom, % 199.35/199.80 ! [V_ca_2,V_ba_2,V_A_2,T_b] : % 199.35/199.80 ( class_Lattices_Osemilattice__sup(T_b) % 199.35/199.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.80 => ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_ba_2)) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_ca_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_ba_2),V_ca_2))) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wf__no__infinite__down__chainE,axiom, % 199.35/199.80 ! [V_f_2,V_r_2,T_b] : % 199.35/199.80 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.80 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_setsum__reindex__cong,axiom, % 199.35/199.80 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 199.35/199.80 ( class_Groups_Ocomm__monoid__add(T_d) % 199.35/199.80 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.35/199.80 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 199.35/199.80 => ( ! [B_a] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 199.35/199.80 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) ) % 199.35/199.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_scomp__unfold,axiom, % 199.35/199.80 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_e),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_d,T_e),hAPP(V_f_2,V_x_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_setsum__ivl__cong,axiom, % 199.35/199.80 ! [V_g_2,V_f_2,V_d_2,V_ba_2,V_ca_2,V_a_2,T_b,T_c] : % 199.35/199.80 ( ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.80 & class_Orderings_Oord(T_b) ) % 199.35/199.80 => ( V_a_2 = V_ca_2 % 199.35/199.80 => ( V_ba_2 = V_d_2 % 199.35/199.80 => ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),B_x)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2)) % 199.35/199.80 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) % 199.35/199.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_ba_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)) ) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_scomp__apply,axiom, % 199.35/199.80 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_scomp__scomp,axiom, % 199.35/199.80 ! [V_h_2,V_g_2,V_f_2,T_g,T_f,T_c,T_e,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_e,T_c),hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,tc_prod(T_d,T_e)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,T_c),V_f_2),hAPP(hAPP(c_COMBC(T_f,tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_g,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),T_f),c_Product__Type_Oscomp(T_g,T_d,T_e,T_c)),V_g_2)),V_h_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_scomp__Pair,axiom, % 199.35/199.80 ! [V_x_2,T_d,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,tc_prod(T_c,T_d)),V_x_2),c_Product__Type_OPair(T_c,T_d)) = V_x_2 ). % 199.35/199.80 % 199.35/199.80 fof(fact_Pair__scomp,axiom, % 199.35/199.80 ! [V_f_2,V_x_2,T_c,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_b,T_c),hAPP(c_Product__Type_OPair(T_d,T_b),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_scomp__def,axiom, % 199.35/199.80 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_iterate_Osimps,axiom, % 199.35/199.80 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 199.35/199.80 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.35/199.80 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2) ) % 199.35/199.80 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.35/199.80 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_b,tc_prod(T_c,T_b)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_c,T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_f_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_less__eq,axiom, % 199.35/199.80 ! [V_n_2,V_m_2] : % 199.35/199.80 ( 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))) % 199.35/199.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wf__trancl,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.80 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_less__than__def,axiom, % 199.35/199.80 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 199.35/199.80 % 199.35/199.80 fof(fact_acyclic__def,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 199.35/199.80 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl_Or__into__trancl,axiom, % 199.35/199.80 ! [V_r_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__subset__Field2,axiom, % 199.35/199.80 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_Relation_OField(T_b),V_r_2))))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_r__into__trancl_H,axiom, % 199.35/199.80 ! [V_r_2,V_p_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__empty,axiom, % 199.35/199.80 ! [T_b] : c_Transitive__Closure_Otrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__domain,axiom, % 199.35/199.80 ! [V_r_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__range,axiom, % 199.35/199.80 ! [V_r_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ORange(T_b,T_b),V_r_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_finite__trancl,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 199.35/199.80 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_r__r__into__trancl,axiom, % 199.35/199.80 ! [V_ca_2,V_R_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_R_2)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_ca_2)),V_R_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__into__trancl2,axiom, % 199.35/199.80 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom, % 199.35/199.80 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_ca_2)),V_r_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__trans,axiom, % 199.35/199.80 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__mono,axiom, % 199.35/199.80 ! [V_s_2,V_r_2,V_p_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__unfold,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_r_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__subset__Sigma,axiom, % 199.35/199.80 ! [V_A_2,V_r_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__Int__subset,axiom, % 199.35/199.80 ! [V_s_2,V_r_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_log_Osimps,axiom, % 199.35/199.80 ! [V_i,V_b] : % 199.35/199.80 ( ( ( 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))) % 199.35/199.80 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 199.35/199.80 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 199.35/199.80 & ( ~ ( 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))) % 199.35/199.80 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 199.35/199.80 => 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))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_minus__shift__def,axiom, % 199.35/199.80 ! [V_r,V_l,V_k] : % 199.35/199.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 199.35/199.80 => 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) ) % 199.35/199.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 199.35/199.80 => 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) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_inc__shift__def,axiom, % 199.35/199.80 ! [V_k,V_v] : % 199.35/199.80 ( ( V_v = V_k % 199.35/199.80 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 199.35/199.80 & ( V_v != V_k % 199.35/199.80 => 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)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_range,axiom, % 199.35/199.80 ! [V_s,V_k] : % 199.35/199.80 ( 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)) % 199.35/199.80 => 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)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__insert,axiom, % 199.35/199.80 ! [V_r_2,V_x_2,V_y_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBC(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),V_y_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_reflcl__set__eq,axiom, % 199.35/199.80 ! [V_y_2,V_x_2,V_r_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),c_fequal),V_x_2),V_y_2)) % 199.35/199.80 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_r__into__rtrancl,axiom, % 199.35/199.80 ! [V_r_2,V_p_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl_Ortrancl__refl,axiom, % 199.35/199.80 ! [V_r_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_IdI,axiom, % 199.35/199.80 ! [V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Relation_OId(T_b))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__into__rtrancl,axiom, % 199.35/199.80 ! [V_r_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__unfold__right,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__unfold__left,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_reflcl__trancl,axiom, % 199.35/199.80 ! [V_r_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__reflcl,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__rtrancl__absorb,axiom, % 199.35/199.80 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Otrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__trancl__absorb,axiom, % 199.35/199.80 ! [V_R_2,T_b] : c_Transitive__Closure_Otrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__r__diff__Id,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Domain__rtrancl,axiom, % 199.35/199.80 ! [V_R_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__trans,axiom, % 199.35/199.80 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom, % 199.35/199.80 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_ca_2)),V_r_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_converse__rtrancl__into__rtrancl,axiom, % 199.35/199.80 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__idemp,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__reflcl,axiom, % 199.35/199.80 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__Un__rtrancl,axiom, % 199.35/199.80 ! [V_S_2,V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) = c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__reflcl__absorb,axiom, % 199.35/199.80 ! [V_R_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_in__rtrancl__UnI,axiom, % 199.35/199.80 ! [V_S_2,V_R_2,V_x_2,T_b] : % 199.35/199.80 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 199.35/199.80 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_r__comp__rtrancl__eq,axiom, % 199.35/199.80 ! [V_r_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__idemp__self__comp,axiom, % 199.35/199.80 ! [V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__unfold,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__empty,axiom, % 199.35/199.80 ! [T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Relation_OId(T_b) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Range__rtrancl,axiom, % 199.35/199.80 ! [V_R_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_refl__rtrancl,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Id__O__R,axiom, % 199.35/199.80 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_c),c_Relation_OId(T_b)),V_R_2) = V_R_2 ). % 199.35/199.80 % 199.35/199.80 fof(fact_R__O__Id,axiom, % 199.35/199.80 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_c),V_R_2),c_Relation_OId(T_c)) = V_R_2 ). % 199.35/199.80 % 199.35/199.80 fof(fact_Image__Id,axiom, % 199.35/199.80 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__Int__subset,axiom, % 199.35/199.80 ! [V_r_2,V_s_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),V_s_2)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__subset__rtrancl,axiom, % 199.35/199.80 ! [V_s_2,V_r_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__subset,axiom, % 199.35/199.80 ! [V_S_2,V_R_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 199.35/199.80 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__mono,axiom, % 199.35/199.80 ! [V_s_2,V_r_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Image__closed__trancl,axiom, % 199.35/199.80 ! [V_X_2,V_r_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),V_X_2)),V_X_2)) % 199.35/199.80 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__Un__subset,axiom, % 199.35/199.80 ! [V_S_2,V_R_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_pair__in__Id__conv,axiom, % 199.35/199.80 ! [V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Relation_OId(T_b))) % 199.35/199.80 <=> V_a_2 = V_ba_2 ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__trancl__trancl,axiom, % 199.35/199.80 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__rtrancl__trancl,axiom, % 199.35/199.80 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__into__trancl1,axiom, % 199.35/199.80 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_ca_2)),V_r_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtranclD,axiom, % 199.35/199.80 ! [V_R_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 199.35/199.80 => ( V_a_2 = V_ba_2 % 199.35/199.80 | ( V_a_2 != V_ba_2 % 199.35/199.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__into__trancl2,axiom, % 199.35/199.80 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__eq__or__trancl,axiom, % 199.35/199.80 ! [V_R_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 199.35/199.80 <=> ( V_x_2 = V_y_2 % 199.35/199.80 | ( V_x_2 != V_y_2 % 199.35/199.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Domain__Id,axiom, % 199.35/199.80 ! [T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Range__Id,axiom, % 199.35/199.80 ! [T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_refl__Id,axiom, % 199.35/199.80 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Relation_OId(T_b)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_pair__leq__def,axiom, % 199.35/199.80 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))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Not__Domain__rtrancl,axiom, % 199.35/199.80 ! [V_y_2,V_R_2,V_x_2,T_b] : % 199.35/199.80 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 199.35/199.80 <=> V_x_2 = V_y_2 ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_acc__downwards__aux,axiom, % 199.35/199.80 ! [V_r_2,V_a_2,V_ba_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_acc__downwards,axiom, % 199.35/199.80 ! [V_ba_2,V_r_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wf__insert,axiom, % 199.35/199.80 ! [V_r_2,V_x_2,V_y_2,T_b] : % 199.35/199.80 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) % 199.35/199.80 <=> ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.80 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_acyclic__insert,axiom, % 199.35/199.80 ! [V_r_2,V_x_2,V_y_2,T_b] : % 199.35/199.80 ( c_Wellfounded_Oacyclic(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) % 199.35/199.80 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 199.35/199.80 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_refl__reflcl,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Id__def,axiom, % 199.35/199.80 ! [T_b] : c_Relation_OId(T_b) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_b),tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),tc_prod(T_b,T_b)),c_COMBB(tc_prod(T_b,T_b),tc_HOL_Obool,T_b)),c_fequal)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_irrefl__diff__Id,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_Relation_Oirrefl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_pred__nat__trancl__eq__le,axiom, % 199.35/199.80 ! [V_n_2,V_m_2] : % 199.35/199.80 ( 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))) % 199.35/199.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__subset__Sigma__aux,axiom, % 199.35/199.80 ! [V_A_2,V_r_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 199.35/199.80 => ( V_a_2 = V_ba_2 % 199.35/199.80 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_irrefl__tranclI,axiom, % 199.35/199.80 ! [V_x_2,V_r_2,T_b] : % 199.35/199.80 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_sequence__trans,axiom, % 199.35/199.80 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] : % 199.35/199.80 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))),hAPP(V_f_2,V_i_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__converse,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_converse__Id,axiom, % 199.35/199.80 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ). % 199.35/199.80 % 199.35/199.80 fof(fact_converse__INTER,axiom, % 199.35/199.80 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_acyclic__converse,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 199.35/199.80 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_converse__UNION,axiom, % 199.35/199.80 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_finite__converse,axiom, % 199.35/199.80 ! [V_r_2,T_c,T_b] : % 199.35/199.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 199.35/199.80 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_converse__Id__on,axiom, % 199.35/199.80 ! [V_A_2,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = c_Relation_OId__on(T_b,V_A_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Field__converse,axiom, % 199.35/199.80 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_OField(T_b),V_r_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_converse__inv__image,axiom, % 199.35/199.80 ! [V_f_2,V_R_2,T_c,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_c),V_R_2)),V_f_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_converse__Int,axiom, % 199.35/199.80 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_converse__converse,axiom, % 199.35/199.80 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = V_r_2 ). % 199.35/199.80 % 199.35/199.80 fof(fact_converse__Un,axiom, % 199.35/199.80 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_converse__rel__comp,axiom, % 199.35/199.80 ! [V_s_2,V_r_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_b),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(c_Relation_Oconverse(T_d,T_b),V_s_2)),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_converse__iff,axiom, % 199.35/199.80 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 199.35/199.80 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_ba_2),V_a_2)),V_r_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_converseI,axiom, % 199.35/199.80 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),V_r_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_ba_2),V_a_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_converseD,axiom, % 199.35/199.80 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_ba_2),V_a_2)),V_r_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_refl__on__converse,axiom, % 199.35/199.80 ! [V_r_2,V_A_2,T_b] : % 199.35/199.80 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 199.35/199.80 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__converse,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wf__converse__trancl,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 199.35/199.80 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_equiv__comp__eq,axiom, % 199.35/199.80 ! [V_r_2,V_A_2,T_b] : % 199.35/199.80 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.80 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Range__converse,axiom, % 199.35/199.80 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Domain__converse,axiom, % 199.35/199.80 ! [V_r_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) = hAPP(c_Relation_ORange(T_c,T_b),V_r_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Range__def,axiom, % 199.35/199.80 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__converseI,axiom, % 199.35/199.80 ! [V_r_2,V_x_2,V_y_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__converseD,axiom, % 199.35/199.80 ! [V_r_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__converseI,axiom, % 199.35/199.80 ! [V_r_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__converseD,axiom, % 199.35/199.80 ! [V_r_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Image__subset__eq,axiom, % 199.35/199.80 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)),V_B_2)) % 199.35/199.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_refl__on__comp__subset,axiom, % 199.35/199.80 ! [V_r_2,V_A_2,T_b] : % 199.35/199.80 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_comp__equivI,axiom, % 199.35/199.80 ! [V_A_2,V_r_2,T_b] : % 199.35/199.80 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 % 199.35/199.80 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2 % 199.35/199.80 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_finite__acyclic__wf__converse,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 199.35/199.80 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 199.35/199.80 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_converse__def,axiom, % 199.35/199.80 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_r_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Image__INT__eq,axiom, % 199.35/199.80 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] : % 199.35/199.80 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) % 199.35/199.80 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) % 199.35/199.80 => hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_total__on__diff__Id,axiom, % 199.35/199.80 ! [V_r_2,V_A_2,T_b] : % 199.35/199.80 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) % 199.35/199.80 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_single__valued__Id,axiom, % 199.35/199.80 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_single__valued__rel__comp,axiom, % 199.35/199.80 ! [V_s_2,T_d,V_r_2,T_c,T_b] : % 199.35/199.80 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 199.35/199.80 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2) % 199.35/199.80 => c_Relation_Osingle__valued(T_b,T_d,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_single__valued__subset,axiom, % 199.35/199.80 ! [V_s_2,V_r_2,T_c,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) % 199.35/199.80 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2) % 199.35/199.80 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_single__valued__Id__on,axiom, % 199.35/199.80 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_total__on__empty,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_Relation_Ototal__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_r_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_total__on__converse,axiom, % 199.35/199.80 ! [V_r_2,V_A_2,T_b] : % 199.35/199.80 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 199.35/199.80 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_single__valuedD,axiom, % 199.35/199.80 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] : % 199.35/199.80 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_r_2)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_z_2)),V_r_2)) % 199.35/199.80 => V_y_2 = V_z_2 ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_single__valued__def,axiom, % 199.35/199.80 ! [V_r_2,T_c,T_b] : % 199.35/199.80 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 199.35/199.80 <=> ! [B_x,B_y] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)),V_r_2)) % 199.35/199.80 => ! [B_z] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)),V_r_2)) % 199.35/199.80 => B_y = B_z ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_total__on__def,axiom, % 199.35/199.80 ! [V_r_2,V_A_2,T_b] : % 199.35/199.80 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2) % 199.35/199.80 <=> ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.80 => ! [B_xa] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 199.35/199.80 => ( B_x != B_xa % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_r_2)) % 199.35/199.80 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_xa),B_x)),V_r_2)) ) ) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_single__valued__confluent,axiom, % 199.35/199.80 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 199.35/199.80 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Image__Int__eq,axiom, % 199.35/199.80 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : % 199.35/199.80 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2)) % 199.35/199.80 => hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__imp__UN__rel__pow,axiom, % 199.35/199.80 ! [V_R_2,V_p_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_acyclicI,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 199.35/199.80 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_single__valued__rel__pow,axiom, % 199.35/199.80 ! [V_n_2,V_R_2,T_b] : % 199.35/199.80 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2) % 199.35/199.80 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wf__exp,axiom, % 199.35/199.80 ! [V_R_2,V_n_2,T_b] : % 199.35/199.80 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) % 199.35/199.80 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_funpow__mult,axiom, % 199.35/199.80 ! [V_f_2,V_m_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_funpow__swap1,axiom, % 199.35/199.80 ! [V_x_2,V_n_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_comp__funpow,axiom, % 199.35/199.80 ! [V_f_2,V_n_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_n_2),c_Fun_Ocomp(T_c,T_c,T_b,V_f_2)) = c_Fun_Ocomp(T_c,T_c,T_b,hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),V_f_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rel__pow__commute,axiom, % 199.35/199.80 ! [V_n_2,V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rel__pow__1,axiom, % 199.35/199.80 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ). % 199.35/199.80 % 199.35/199.80 fof(fact_rel__pow__imp__rtrancl,axiom, % 199.35/199.80 ! [V_R_2,V_n_2,V_p_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__power,axiom, % 199.35/199.80 ! [V_R_2,V_p_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 199.35/199.80 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_relpow_Osimps_I2_J,axiom, % 199.35/199.80 ! [V_R_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rel__pow__add,axiom, % 199.35/199.80 ! [V_R_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_relpow_Osimps_I1_J,axiom, % 199.35/199.80 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_b) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rel__pow__0__I,axiom, % 199.35/199.80 ! [V_R_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rel__pow__0__E,axiom, % 199.35/199.80 ! [V_R_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) % 199.35/199.80 => V_x_2 = V_y_2 ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rel__pow__Suc__I2,axiom, % 199.35/199.80 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rel__pow__Suc__I,axiom, % 199.35/199.80 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_R_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_funpow_Osimps_I2_J,axiom, % 199.35/199.80 ! [V_f_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_funpow__add,axiom, % 199.35/199.80 ! [V_f_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_funpow_Osimps_I1_J,axiom, % 199.35/199.80 ! [V_f_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_b) ). % 199.35/199.80 % 199.35/199.80 fof(fact_trancl__power,axiom, % 199.35/199.80 ! [V_R_2,V_p_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 199.35/199.80 <=> ? [B_n] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 199.35/199.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__is__UN__rel__pow,axiom, % 199.35/199.80 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_funpow__code__def,axiom, % 199.35/199.80 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rel__pow__E,axiom, % 199.35/199.80 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 199.35/199.80 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.80 => V_x_2 != V_z_2 ) % 199.35/199.80 => ~ ! [B_y,B_m] : % 199.35/199.80 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rel__pow__E2,axiom, % 199.35/199.80 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 199.35/199.80 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.80 => V_x_2 != V_z_2 ) % 199.35/199.80 => ~ ! [B_y,B_m] : % 199.35/199.80 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__Un__separatorE,axiom, % 199.35/199.80 ! [V_Q_2,V_Pa_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Q_2)))) % 199.35/199.80 => ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) % 199.35/199.80 => ! [B_y] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_Q_2)) % 199.35/199.80 => B_x = B_y ) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__Un__separator__converseE,axiom, % 199.35/199.80 ! [V_Q_2,V_Pa_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Q_2)))) % 199.35/199.80 => ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) % 199.35/199.80 => ! [B_y] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_Q_2)) % 199.35/199.80 => B_y = B_x ) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rel__pow__Suc__E,axiom, % 199.35/199.80 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 199.35/199.80 => ~ ! [B_y] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rel__pow__Suc__D2,axiom, % 199.35/199.80 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 199.35/199.80 => ? [B_y] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 199.35/199.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rel__pow__Suc__E2,axiom, % 199.35/199.80 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 199.35/199.80 => ~ ! [B_y] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_tranclD2,axiom, % 199.35/199.80 ! [V_R_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 199.35/199.80 => ? [B_z] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 199.35/199.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),V_R_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_tranclD,axiom, % 199.35/199.80 ! [V_R_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 199.35/199.80 => ? [B_z] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),V_R_2)) % 199.35/199.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_IdE,axiom, % 199.35/199.80 ! [V_p_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b))) % 199.35/199.80 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_nat__intermed__int__val,axiom, % 199.35/199.80 ! [V_k_2,V_f_2,V_n_2,V_m_2] : % 199.35/199.80 ( ! [B_i] : % 199.35/199.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 199.35/199.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) ) % 199.35/199.80 => 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))) ) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 199.35/199.80 => ? [B_i] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 199.35/199.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 199.35/199.80 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_mod__div__decomp,axiom, % 199.35/199.80 ! [V_b,V_a,T_a] : % 199.35/199.80 ( class_Divides_Osemiring__div(T_a) % 199.35/199.80 => 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)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_wf__eq__minimal,axiom, % 199.35/199.80 ! [V_r_2,T_b] : % 199.35/199.80 ( c_Wellfounded_Owf(T_b,V_r_2) % 199.35/199.80 <=> ! [B_Q] : % 199.35/199.80 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 199.35/199.80 => ? [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 199.35/199.80 & ! [B_y] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_transfer__nat__int__set__cong,axiom, % 199.35/199.80 ! [V_P_H_2,V_Pa_2] : % 199.35/199.80 ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 199.35/199.80 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.35/199.80 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) ) % 199.35/199.80 => 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_Pa_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)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Int__Collect__mono,axiom, % 199.35/199.80 ! [V_Q_2,V_Pa_2,V_B_2,V_A_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.35/199.80 => ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.80 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.35/199.80 => hBOOL(hAPP(V_Q_2,B_x)) ) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Q_2)))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_UnionE,axiom, % 199.35/199.80 ! [V_C_2,V_A_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 199.35/199.80 => ~ ! [B_X] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_converseE,axiom, % 199.35/199.80 ! [V_r_2,V_yx_2,T_c,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_yx_2),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 199.35/199.80 => ~ ! [B_x,B_y] : % 199.35/199.80 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),B_y)),V_r_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rel__compE,axiom, % 199.35/199.80 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2))) % 199.35/199.80 => ~ ! [B_x,B_y,B_z] : % 199.35/199.80 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),B_x),B_y)),V_r_2)) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_y),B_z)),V_s_2)) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Nitpick_Oplus__frac__def,axiom, % 199.35/199.80 ! [V_r_2,V_q_2,T_b] : c_Nitpick_Oplus__frac(T_b,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_b),V_q_2),hAPP(c_Nitpick_Odenom(T_b),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_b),tc_Int_Oint),c_Nitpick_Ofrac(T_b)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_q_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_q_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_r_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_r_2)))))),c_COMBI(tc_Int_Oint))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Nitpick_Otimes__frac__def,axiom, % 199.35/199.80 ! [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))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Nitpick_Oof__frac__def,axiom, % 199.35/199.80 ! [V_q,T_a,T_b] : % 199.35/199.80 ( ( class_Rings_Oinverse(T_b) % 199.35/199.80 & class_Rings_Oring__1(T_b) ) % 199.35/199.80 => 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))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Nitpick_Oinverse__frac__def,axiom, % 199.35/199.80 ! [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)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Nitpick_Ouminus__frac__def,axiom, % 199.35/199.80 ! [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))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Nitpick_Oless__frac__def,axiom, % 199.35/199.80 ! [V_r_2,V_q_2,T_b] : % 199.35/199.80 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2) % 199.35/199.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Nitpick_Oless__eq__frac__def,axiom, % 199.35/199.80 ! [V_r_2,V_q_2,T_b] : % 199.35/199.80 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2) % 199.35/199.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Nitpick_Onum__def,axiom, % 199.35/199.80 ! [T_b] : c_Nitpick_Onum(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Nitpick_Odenom__def,axiom, % 199.35/199.80 ! [T_b] : c_Nitpick_Odenom(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_setprod__pos,axiom, % 199.35/199.80 ! [V_f_2,V_A_2,T_b,T_c] : % 199.35/199.80 ( class_Rings_Olinordered__semidom(T_c) % 199.35/199.80 => ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_internal__split__def,axiom, % 199.35/199.80 ! [T_d,T_c,T_b] : c_Product__Type_Ointernal__split(T_b,T_c,T_d) = c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d) ). % 199.35/199.80 % 199.35/199.80 fof(fact_internal__split__conv,axiom, % 199.35/199.80 ! [V_ba_2,V_a_2,V_ca_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_c,T_d,T_b),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_ba_2)) = hAPP(hAPP(V_ca_2,V_a_2),V_ba_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_setprod__nonneg,axiom, % 199.35/199.80 ! [V_f_2,V_A_2,T_b,T_c] : % 199.35/199.80 ( class_Rings_Olinordered__semidom(T_c) % 199.35/199.80 => ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_bool_Osize_I2_J,axiom, % 199.35/199.80 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.35/199.80 % 199.35/199.80 fof(fact_bool_Osize_I1_J,axiom, % 199.35/199.80 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lenlex__def,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_b),c_Wellfounded_Oless__than,c_List_Olex(T_b,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_b))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_COMBI(tc_List_Olist(T_b)))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_measure__function__int,axiom, % 199.35/199.80 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))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_measure__fst,axiom, % 199.35/199.80 ! [T_c,V_f_2,T_b] : % 199.35/199.80 ( c_FunDef_Ois__measure(T_b,V_f_2) % 199.35/199.80 => c_FunDef_Ois__measure(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_b,T_c)),V_f_2),c_Product__Type_Ofst(T_b,T_c))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_is__measure_Ointros,axiom, % 199.35/199.80 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_is__measure_Oequations,axiom, % 199.35/199.80 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_is__measure_Osimps,axiom, % 199.35/199.80 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_neq__if__length__neq,axiom, % 199.35/199.80 ! [V_ys,V_xs,T_a] : % 199.35/199.80 ( 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) % 199.35/199.80 => V_xs != V_ys ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_measure__snd,axiom, % 199.35/199.80 ! [T_c,V_f_2,T_b] : % 199.35/199.80 ( c_FunDef_Ois__measure(T_b,V_f_2) % 199.35/199.80 => c_FunDef_Ois__measure(tc_prod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_c,T_b)),V_f_2),c_Product__Type_Osnd(T_c,T_b))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lexn__length,axiom, % 199.35/199.80 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2))) % 199.35/199.80 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2 % 199.35/199.80 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_measure__size,axiom, % 199.35/199.80 ! [T_b] : % 199.35/199.80 ( class_Nat_Osize(T_b) % 199.35/199.80 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lenlex__conv,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_List_Olex(T_b,V_r_2)))))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_length__sublist,axiom, % 199.35/199.80 ! [V_I_2,V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2)))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lexn_Osimps_I2_J,axiom, % 199.35/199.80 ! [V_n_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_b,tc_List_Olist(T_b)),tc_prod(T_b,tc_List_Olist(T_b))),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_Product__Type_Omap__pair(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),c_Wellfounded_Olex__prod(T_b,tc_List_Olist(T_b),V_r_2,hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2)))))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_impossible__Cons,axiom, % 199.35/199.80 ! [V_x,V_ys,V_xs,T_a] : % 199.35/199.80 ( 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))) % 199.35/199.80 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list_Oinject,axiom, % 199.35/199.80 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] : % 199.35/199.80 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_H_2),V_list_H_2) % 199.35/199.80 <=> ( V_a_2 = V_a_H_2 % 199.35/199.80 & V_list_2 = V_list_H_2 ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_not__Cons__self2,axiom, % 199.35/199.80 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ). % 199.35/199.80 % 199.35/199.80 fof(fact_not__Cons__self,axiom, % 199.35/199.80 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ). % 199.35/199.80 % 199.35/199.80 fof(fact_bool_Osize_I3_J,axiom, % 199.35/199.80 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.35/199.80 % 199.35/199.80 fof(fact_bool_Osize_I4_J,axiom, % 199.35/199.80 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list_Osize_I4_J,axiom, % 199.35/199.80 ! [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))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Cons__in__lex,axiom, % 199.35/199.80 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olex(T_b,V_r_2))) % 199.35/199.80 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 199.35/199.80 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) % 199.35/199.80 | ( V_x_2 = V_y_2 % 199.35/199.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olex(T_b,V_r_2))) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__Cons__def,axiom, % 199.35/199.80 ! [V_XS_2,V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBS(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_HOL_Obool,tc_List_Olist(T_b))),c_fequal))),c_List_Olist_OCons(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),V_XS_2)))))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_pick_Osimps,axiom, % 199.35/199.80 ! [V_xs,V_x,T_a,V_i] : % 199.35/199.80 ( ( 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))) % 199.35/199.80 => 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) ) % 199.35/199.80 & ( ~ 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))) % 199.35/199.80 => 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))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_select__weight__cons__zero,axiom, % 199.35/199.80 ! [V_xs_2,V_x_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lexord__cons__cons,axiom, % 199.35/199.80 ! [V_r_2,V_y_2,V_ba_2,V_x_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_ba_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) % 199.35/199.80 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) % 199.35/199.80 | ( V_a_2 = V_ba_2 % 199.35/199.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lexord__lex,axiom, % 199.35/199.80 ! [V_r_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olex(T_b,V_r_2))) % 199.35/199.80 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 199.35/199.80 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__listrel1__ConsI2,axiom, % 199.35/199.80 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list_Osize_I2_J,axiom, % 199.35/199.80 ! [V_list_2,V_a_2,V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),c_List_Olist_Olist__size(T_b,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Cons__acc__listrel1I,axiom, % 199.35/199.80 ! [V_xs_2,V_r_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom, % 199.35/199.80 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel1__converse,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel1__mono,axiom, % 199.35/199.80 ! [V_s_2,V_r_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel1(T_b,V_s_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel1I2,axiom, % 199.35/199.80 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__listrel1__ConsI1,axiom, % 199.35/199.80 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel1__eq__len,axiom, % 199.35/199.80 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 199.35/199.80 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__listrel1__eq__len,axiom, % 199.35/199.80 ! [V_r_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 199.35/199.80 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_in__listrel1__converse,axiom, % 199.35/199.80 ! [V_r_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) % 199.35/199.80 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Cons__listrel1__Cons,axiom, % 199.35/199.80 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) % 199.35/199.80 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 199.35/199.80 & V_xs_2 = V_ys_2 ) % 199.35/199.80 | ( V_x_2 = V_y_2 % 199.35/199.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel1I1,axiom, % 199.35/199.80 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_xs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__Cons,axiom, % 199.35/199.80 ! [V_xs_2,V_x_2,V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = c_List_Oset__Cons(T_b,hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lexord__linear,axiom, % 199.35/199.80 ! [V_y_2,V_x_2,V_r_2,T_b] : % 199.35/199.80 ( ! [B_a,B_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_b)),V_r_2)) % 199.35/199.80 | B_a = B_b % 199.35/199.80 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_b),B_a)),V_r_2)) ) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 199.35/199.80 | V_x_2 = V_y_2 % 199.35/199.80 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_x_2)),c_List_Olexord(T_b,V_r_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__rtrancl__refl,axiom, % 199.35/199.80 ! [V_r_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_xs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__mono,axiom, % 199.35/199.80 ! [V_s_2,V_r_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_List_Olistrel(T_b,V_s_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__subset__rtrancl__listrel1,axiom, % 199.35/199.80 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__eq__len,axiom, % 199.35/199.80 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 199.35/199.80 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__rtrancl__trans,axiom, % 199.35/199.80 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__reflcl__if__listrel1,axiom, % 199.35/199.80 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel1__subset__listrel,axiom, % 199.35/199.80 ! [V_r_H_2,V_r_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) % 199.35/199.80 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel(T_b,V_r_H_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_rtrancl__listrel1__if__listrel,axiom, % 199.35/199.80 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel_OCons,axiom, % 199.35/199.80 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrelp__listrel__eq,axiom, % 199.35/199.80 ! [V_xa_2,V_x_2,V_r_2,T_b] : % 199.35/199.80 ( c_List_Olistrelp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2),V_x_2,V_xa_2) % 199.35/199.80 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_xa_2)),c_List_Olistrel(T_b,V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__Cons1,axiom, % 199.35/199.80 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_b,V_r_2))) % 199.35/199.80 => ~ ! [B_y,B_ys] : % 199.35/199.80 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),B_y)),V_r_2)) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),B_ys)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrelp_Oequations_I2_J,axiom, % 199.35/199.80 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] : % 199.35/199.80 ( c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a4_2)) % 199.35/199.80 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) % 199.35/199.80 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrelp_OCons,axiom, % 199.35/199.80 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 199.35/199.80 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2) % 199.35/199.80 => c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__Cons2,axiom, % 199.35/199.80 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) % 199.35/199.80 => ~ ! [B_x,B_xs] : % 199.35/199.80 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_y_2)),V_r_2)) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),B_xs),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__subset,axiom, % 199.35/199.80 ! [V_A_2,V_r_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2))))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lists__UNIV,axiom, % 199.35/199.80 ! [T_b] : c_List_Olists(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lists__mono,axiom, % 199.35/199.80 ! [V_B_2,V_A_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olists(T_b,V_A_2)),c_List_Olists(T_b,V_B_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_equiv__listrel,axiom, % 199.35/199.80 ! [V_r_2,V_A_2,T_b] : % 199.35/199.80 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.35/199.80 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__refl__on,axiom, % 199.35/199.80 ! [V_r_2,V_A_2,T_b] : % 199.35/199.80 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.35/199.80 => c_Relation_Orefl__on(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Cons__in__lists__iff,axiom, % 199.35/199.80 ! [V_A_2,V_xs_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_List_Olists(T_b,V_A_2))) % 199.35/199.80 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.80 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lists__accD,axiom, % 199.35/199.80 ! [V_r_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lists__accI,axiom, % 199.35/199.80 ! [V_r_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__iff__nth,axiom, % 199.35/199.80 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 199.35/199.80 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 199.35/199.80 & ! [B_n] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_n))),V_r_2)) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lexord__irreflexive,axiom, % 199.35/199.80 ! [V_y_2,V_r_2,T_b] : % 199.35/199.80 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_infinite__UNIV__listI,axiom, % 199.35/199.80 ! [T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_nth__Cons__Suc,axiom, % 199.35/199.80 ! [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) ). % 199.35/199.80 % 199.35/199.80 fof(fact_nth__Cons__0,axiom, % 199.35/199.80 ! [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 ). % 199.35/199.80 % 199.35/199.80 fof(fact_list__eq__iff__nth__eq,axiom, % 199.35/199.80 ! [T_b,V_ys_2,V_xs_2] : % 199.35/199.80 ( V_xs_2 = V_ys_2 % 199.35/199.80 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 199.35/199.80 & ! [B_i] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.80 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_nth_Osimps,axiom, % 199.35/199.80 ! [V_n_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_n_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_nth__Cons_H,axiom, % 199.35/199.80 ! [V_xs,V_x,T_a,V_n] : % 199.35/199.80 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.80 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x ) % 199.35/199.80 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.80 => 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))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_nth__Cons__number__of,axiom, % 199.35/199.80 ! [V_xs,V_x,T_a,V_v] : % 199.35/199.80 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.80 => 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 ) % 199.35/199.80 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.80 => 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))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lexord__take__index__conv,axiom, % 199.35/199.80 ! [V_r_2,V_y_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 199.35/199.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2))) % 199.35/199.80 & hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),V_y_2) = V_x_2 ) % 199.35/199.80 | ? [B_i] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2)))) % 199.35/199.80 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2) % 199.35/199.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_y_2),B_i))),V_r_2)) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__sublist,axiom, % 199.35/199.80 ! [V_I_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2))))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_finite__set,axiom, % 199.35/199.80 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_take__all,axiom, % 199.35/199.80 ! [V_n,V_xs,T_a] : % 199.35/199.80 ( 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)) % 199.35/199.80 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__subset__Cons,axiom, % 199.35/199.80 ! [V_x_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__take__subset__set__take,axiom, % 199.35/199.80 ! [V_xs_2,T_b,V_n_2,V_m_2] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__take__subset,axiom, % 199.35/199.80 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__sublist__subset,axiom, % 199.35/199.80 ! [V_I_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_nth__take,axiom, % 199.35/199.80 ! [V_xs,T_a,V_n,V_i] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 199.35/199.80 => 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) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_length__take,axiom, % 199.35/199.80 ! [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) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__ConsD,axiom, % 199.35/199.80 ! [V_xs_2,V_x_2,V_y_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) % 199.35/199.80 => ( V_y_2 = V_x_2 % 199.35/199.80 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_in__set__sublistD,axiom, % 199.35/199.80 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_in__set__takeD,axiom, % 199.35/199.80 ! [V_xs_2,V_n_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_notin__set__sublistI,axiom, % 199.35/199.80 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 199.35/199.80 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_take__Suc__Cons,axiom, % 199.35/199.80 ! [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)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_take__take,axiom, % 199.35/199.80 ! [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) ). % 199.35/199.80 % 199.35/199.80 fof(fact_List_Oset_Osimps_I2_J,axiom, % 199.35/199.80 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_sublist__upt__eq__take,axiom, % 199.35/199.80 ! [V_n_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_l_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_card__length,axiom, % 199.35/199.80 ! [V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_all__set__conv__all__nth,axiom, % 199.35/199.80 ! [V_Pa_2,V_xs_2,T_b] : % 199.35/199.80 ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.80 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.35/199.80 <=> ! [B_i] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.80 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list__size__estimation,axiom, % 199.35/199.80 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list__size__estimation_H,axiom, % 199.35/199.80 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_in__lists__conv__set,axiom, % 199.35/199.80 ! [V_A_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 199.35/199.80 <=> ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_length__pos__if__in__set,axiom, % 199.35/199.80 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_nth__mem,axiom, % 199.35/199.80 ! [V_xs_2,T_b,V_n_2] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_in__set__conv__nth,axiom, % 199.35/199.80 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.80 <=> ? [B_i] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.80 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lists__eq__set,axiom, % 199.35/199.80 ! [V_A_2,T_b] : c_List_Olists(T_b,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__conv__nth,axiom, % 199.35/199.80 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_finite__lists__length__eq,axiom, % 199.35/199.80 ! [V_n_2,V_A_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.80 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_finite__lists__length__le,axiom, % 199.35/199.80 ! [V_n_2,V_A_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.80 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__iff__zip,axiom, % 199.35/199.80 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 199.35/199.80 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 199.35/199.80 & ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),B_x)) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__zip,axiom, % 199.35/199.80 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_c)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_b,T_c)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),tc_Nat_Onat),c_Product__Type_OPair(T_b,T_c)),hAPP(c_List_Onth(T_b),V_xs_2))),hAPP(c_List_Onth(T_c),V_ys_2)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_take__zip,axiom, % 199.35/199.80 ! [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)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_length__zip,axiom, % 199.35/199.80 ! [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)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_zip__Cons__Cons,axiom, % 199.35/199.80 ! [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)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list__eq__iff__zip__eq,axiom, % 199.35/199.80 ! [T_b,V_ys_2,V_xs_2] : % 199.35/199.80 ( V_xs_2 = V_ys_2 % 199.35/199.80 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 199.35/199.80 & ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_in__set__zipE,axiom, % 199.35/199.80 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 199.35/199.80 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__zip__rightD,axiom, % 199.35/199.80 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__zip__leftD,axiom, % 199.35/199.80 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_zip__same,axiom, % 199.35/199.80 ! [V_xs_2,V_ba_2,V_a_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2)))) % 199.35/199.80 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.80 & V_a_2 = V_ba_2 ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_nth__zip,axiom, % 199.35/199.80 ! [V_ys,T_b,V_xs,T_a,V_i] : % 199.35/199.80 ( 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))) % 199.35/199.80 => ( 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))) % 199.35/199.80 => 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)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_greaterThanLessThan__upto,axiom, % 199.35/199.80 ! [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)))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listsum__setsum__nth,axiom, % 199.35/199.80 ! [V_xs_2,T_b] : % 199.35/199.80 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.80 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_atLeastAtMost__upto,axiom, % 199.35/199.80 ! [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)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__upto,axiom, % 199.35/199.80 ! [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) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listsum__eq__0__nat__iff__nat,axiom, % 199.35/199.80 ! [V_ns_2] : % 199.35/199.80 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.80 <=> ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 199.35/199.80 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_elem__le__listsum__nat,axiom, % 199.35/199.80 ! [V_ns,V_k] : % 199.35/199.80 ( 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))) % 199.35/199.80 => 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))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listsum__simps_I2_J,axiom, % 199.35/199.80 ! [V_xs,V_x,T_a] : % 199.35/199.80 ( class_Groups_Omonoid__add(T_a) % 199.35/199.80 => 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)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_atLeastLessThan__upto,axiom, % 199.35/199.80 ! [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)))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_greaterThanAtMost__upto,axiom, % 199.35/199.80 ! [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)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_nat__list__def,axiom, % 199.35/199.80 ! [V_l_2] : % 199.35/199.80 ( c_List_Onat__list(V_l_2) % 199.35/199.80 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list__size__pointwise,axiom, % 199.35/199.80 ! [V_g_2,V_f_2,V_xs_2,T_b] : % 199.35/199.80 ( ! [B_x] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_b,V_g_2,V_xs_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listsum__update__nat,axiom, % 199.35/199.80 ! [V_n,V_ns,V_k] : % 199.35/199.80 ( 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))) % 199.35/199.80 => 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)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_butlast__take,axiom, % 199.35/199.80 ! [V_xs,T_a,V_n] : % 199.35/199.80 ( 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))) % 199.35/199.80 => 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) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list__update__beyond,axiom, % 199.35/199.80 ! [V_x,V_i,V_xs,T_a] : % 199.35/199.80 ( 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)) % 199.35/199.80 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list__update__id,axiom, % 199.35/199.80 ! [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 ). % 199.35/199.80 % 199.35/199.80 fof(fact_nth__list__update__neq,axiom, % 199.35/199.80 ! [V_x,V_xs,T_a,V_j,V_i] : % 199.35/199.80 ( V_i != V_j % 199.35/199.80 => 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) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_length__list__update,axiom, % 199.35/199.80 ! [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) ). % 199.35/199.80 % 199.35/199.80 fof(fact_butlast__list__update,axiom, % 199.35/199.80 ! [V_x,V_xs,T_a,V_k] : % 199.35/199.80 ( ( 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)) % 199.35/199.80 => 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) ) % 199.35/199.80 & ( 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)) % 199.35/199.80 => 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) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_zip__update,axiom, % 199.35/199.80 ! [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)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_update__zip,axiom, % 199.35/199.80 ! [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))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list__update__swap,axiom, % 199.35/199.80 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] : % 199.35/199.80 ( V_i != V_i_H % 199.35/199.80 => 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) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list__update__overwrite,axiom, % 199.35/199.80 ! [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) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list__update__code_I3_J,axiom, % 199.35/199.80 ! [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)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list__update__code_I2_J,axiom, % 199.35/199.80 ! [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) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list__update_Osimps_I2_J,axiom, % 199.35/199.80 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,tc_List_Olist(T_b)),c_List_Olist__update(T_b,V_xs_2)),V_v_2)),V_i_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_in__set__butlastD,axiom, % 199.35/199.80 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__update__subsetI,axiom, % 199.35/199.80 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_A_2)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__update__subset__insert,axiom, % 199.35/199.80 ! [V_x_2,V_i_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_nth__list__update,axiom, % 199.35/199.80 ! [V_x,V_j,V_xs,T_a,V_i] : % 199.35/199.80 ( 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))) % 199.35/199.80 => ( ( V_i = V_j % 199.35/199.80 => 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 ) % 199.35/199.80 & ( V_i != V_j % 199.35/199.80 => 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) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list__update__same__conv,axiom, % 199.35/199.80 ! [V_x_2,V_xs_2,T_b,V_i_2] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.80 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2 % 199.35/199.80 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_nth__list__update__eq,axiom, % 199.35/199.80 ! [V_x,V_xs,T_a,V_i] : % 199.35/199.80 ( 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))) % 199.35/199.80 => 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 ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_take__butlast,axiom, % 199.35/199.80 ! [V_xs,T_a,V_n] : % 199.35/199.80 ( 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))) % 199.35/199.80 => 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) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_length__butlast,axiom, % 199.35/199.80 ! [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)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__update__memI,axiom, % 199.35/199.80 ! [V_x_2,V_xs_2,T_b,V_n_2] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_n_2),V_x_2)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_butlast__conv__take,axiom, % 199.35/199.80 ! [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) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel1__iff__update,axiom, % 199.35/199.80 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 199.35/199.80 <=> ? [B_y,B_n] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),B_y)),V_r_2)) % 199.35/199.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.80 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_distinct__list__update,axiom, % 199.35/199.80 ! [V_i_2,V_a_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 199.35/199.80 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_distinct__upto,axiom, % 199.35/199.80 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_distinct__take,axiom, % 199.35/199.80 ! [V_i,V_xs,T_a] : % 199.35/199.80 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.35/199.80 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_distinct__sublistI,axiom, % 199.35/199.80 ! [V_I_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.80 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_distinct__zipI2,axiom, % 199.35/199.80 ! [V_xs,T_b,V_ys,T_a] : % 199.35/199.80 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys)) % 199.35/199.80 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_distinct__zipI1,axiom, % 199.35/199.80 ! [V_ys,T_b,V_xs,T_a] : % 199.35/199.80 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.35/199.80 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_distinct_Osimps_I2_J,axiom, % 199.35/199.80 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) % 199.35/199.80 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.80 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_card__distinct,axiom, % 199.35/199.80 ! [V_xs_2,T_b] : % 199.35/199.80 ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 199.35/199.80 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_distinct__card,axiom, % 199.35/199.80 ! [V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.80 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_distinct__conv__nth,axiom, % 199.35/199.80 ! [V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.80 <=> ! [B_i] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.80 => ! [B_j] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.80 => ( B_i != B_j % 199.35/199.80 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_nth__eq__iff__index__eq,axiom, % 199.35/199.80 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.80 => ( hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) % 199.35/199.80 <=> V_i_2 = V_j_2 ) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_distinct__listsum__conv__Setsum,axiom, % 199.35/199.80 ! [V_xs_2,T_b] : % 199.35/199.80 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.80 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.80 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_COMBI(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Nitpick_Ocard_H__def,axiom, % 199.35/199.80 ! [V_A_2,T_b] : % 199.35/199.80 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.80 => c_Nitpick_Ocard_H(T_b,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b)))) ) % 199.35/199.80 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.80 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_nth__take__lemma,axiom, % 199.35/199.80 ! [V_ys,V_xs,T_a,V_k] : % 199.35/199.80 ( 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))) % 199.35/199.80 => ( 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))) % 199.35/199.80 => ( ! [B_i] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k)) % 199.35/199.80 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) ) % 199.35/199.80 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__remove1__eq,axiom, % 199.35/199.80 ! [V_x_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.80 => hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_take__Cons__number__of,axiom, % 199.35/199.80 ! [V_xs,V_x,T_a,V_v] : % 199.35/199.80 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.80 => 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) ) % 199.35/199.80 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.80 => 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)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lists_ONil,axiom, % 199.35/199.80 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olists(T_b,V_A_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__Nil2,axiom, % 199.35/199.80 ! [V_r_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) % 199.35/199.80 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__Nil1,axiom, % 199.35/199.80 ! [V_r_2,V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel(T_b,V_r_2))) % 199.35/199.80 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_distinct__butlast,axiom, % 199.35/199.80 ! [T_a,V_xs] : % 199.35/199.80 ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.80 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.35/199.80 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_distinct_Osimps_I1_J,axiom, % 199.35/199.80 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_distinct__remove1,axiom, % 199.35/199.80 ! [V_x,V_xs,T_a] : % 199.35/199.80 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.35/199.80 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_butlast_Osimps_I1_J,axiom, % 199.35/199.80 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 199.35/199.80 % 199.35/199.80 fof(fact_butlast_Osimps_I2_J,axiom, % 199.35/199.80 ! [V_x,T_a,V_xs] : % 199.35/199.80 ( ( V_xs = c_List_Olist_ONil(T_a) % 199.35/199.80 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 199.35/199.80 & ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.80 => 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)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_remove1_Osimps_I2_J,axiom, % 199.35/199.80 ! [V_xs,T_a,V_y,V_x] : % 199.35/199.80 ( ( V_x = V_y % 199.35/199.80 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs ) % 199.35/199.80 & ( V_x != V_y % 199.35/199.80 => 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)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list_Osimps_I3_J,axiom, % 199.35/199.80 ! [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) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list_Osimps_I2_J,axiom, % 199.35/199.80 ! [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) ). % 199.35/199.80 % 199.35/199.80 fof(fact_upto__empty,axiom, % 199.35/199.80 ! [V_i,V_j] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i)) % 199.35/199.80 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_take__Nil,axiom, % 199.35/199.80 ! [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) ). % 199.35/199.80 % 199.35/199.80 fof(fact_take__eq__Nil,axiom, % 199.35/199.80 ! [V_xs_2,V_n_2,T_b] : % 199.35/199.80 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 199.35/199.80 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.80 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_take__0,axiom, % 199.35/199.80 ! [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) ). % 199.35/199.80 % 199.35/199.80 fof(fact_sublist__nil,axiom, % 199.35/199.80 ! [V_A_2,T_b] : c_List_Osublist(T_b,c_List_Olist_ONil(T_b),V_A_2) = c_List_Olist_ONil(T_b) ). % 199.35/199.80 % 199.35/199.80 fof(fact_remove1_Osimps_I1_J,axiom, % 199.35/199.80 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 199.35/199.80 % 199.35/199.80 fof(fact_remove1__commute,axiom, % 199.35/199.80 ! [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)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrelp_ONil,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrelp_Oequations_I1_J,axiom, % 199.35/199.80 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list_Osize_I1_J,axiom, % 199.35/199.80 ! [V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,c_List_Olist_ONil(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.35/199.80 % 199.35/199.80 fof(fact_zip_Osimps_I1_J,axiom, % 199.35/199.80 ! [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)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_zip__Nil,axiom, % 199.35/199.80 ! [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)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listsum__simps_I1_J,axiom, % 199.35/199.80 ! [T_a] : % 199.35/199.80 ( class_Groups_Omonoid__add(T_a) % 199.35/199.80 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list_Osize_I3_J,axiom, % 199.35/199.80 ! [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) ). % 199.35/199.80 % 199.35/199.80 fof(fact_length__0__conv,axiom, % 199.35/199.80 ! [V_xs_2,T_b] : % 199.35/199.80 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.80 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__empty,axiom, % 199.35/199.80 ! [V_xs_2,T_b] : % 199.35/199.80 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.35/199.80 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__empty2,axiom, % 199.35/199.80 ! [V_xs_2,T_b] : % 199.35/199.80 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2) % 199.35/199.80 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_List_Oset_Osimps_I1_J,axiom, % 199.35/199.80 ! [T_b] : hAPP(c_List_Oset(T_b),c_List_Olist_ONil(T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list__update__nonempty,axiom, % 199.35/199.80 ! [V_x_2,V_k_2,V_xs_2,T_b] : % 199.35/199.80 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b) % 199.35/199.80 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list__update_Osimps_I1_J,axiom, % 199.35/199.80 ! [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) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list__update__code_I1_J,axiom, % 199.35/199.80 ! [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) ). % 199.35/199.80 % 199.35/199.80 fof(fact_in__set__remove1,axiom, % 199.35/199.80 ! [V_xs_2,T_b,V_ba_2,V_a_2] : % 199.35/199.80 ( V_a_2 != V_ba_2 % 199.35/199.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_ba_2,V_xs_2)))) % 199.35/199.80 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_notin__set__remove1,axiom, % 199.35/199.80 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 199.35/199.80 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.80 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_y_2,V_xs_2)))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_remove1__idem,axiom, % 199.35/199.80 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.80 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.80 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_sublist__empty,axiom, % 199.35/199.80 ! [V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__remove1__subset,axiom, % 199.35/199.80 ! [V_xs_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_length__greater__0__conv,axiom, % 199.35/199.80 ! [V_xs_2,T_b] : % 199.35/199.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.80 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_take__1__Cons,axiom, % 199.35/199.80 ! [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)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_not__listrel1__Nil,axiom, % 199.35/199.80 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel1(T_b,V_r_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_not__Nil__listrel1,axiom, % 199.35/199.80 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel1(T_b,V_r_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel_ONil,axiom, % 199.35/199.80 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lexord__Nil__right,axiom, % 199.35/199.80 ! [V_r_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olexord(T_b,V_r_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Nil2__notin__lex,axiom, % 199.35/199.80 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olex(T_b,V_r_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_Nil__notin__lex,axiom, % 199.35/199.80 ! [V_r_2,V_ys_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_ys_2)),c_List_Olex(T_b,V_r_2))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_take__Cons,axiom, % 199.35/199.80 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otake(T_b)),V_xs_2)),V_n_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_upto_Osimps,axiom, % 199.35/199.80 ! [V_j,V_i] : % 199.35/199.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 199.35/199.80 => 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)) ) % 199.35/199.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 199.35/199.80 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_sublist__singleton,axiom, % 199.35/199.80 ! [V_x_2,T_b,V_A_2] : % 199.35/199.80 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 199.35/199.80 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) % 199.35/199.80 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 199.35/199.80 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = c_List_Olist_ONil(T_b) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_lists__empty,axiom, % 199.35/199.80 ! [T_b] : c_List_Olists(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_take__Cons_H,axiom, % 199.35/199.80 ! [V_xs,V_x,T_a,V_n] : % 199.35/199.80 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.80 => 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) ) % 199.35/199.80 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.80 => 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)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_upto__rec__number__of,axiom, % 199.35/199.80 ! [V_n,V_m] : % 199.35/199.80 ( ( 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))) % 199.35/199.80 => 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))) ) % 199.35/199.80 & ( ~ 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))) % 199.35/199.80 => 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) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listrel__Nil,axiom, % 199.35/199.80 ! [V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_set__Cons__sing__Nil,axiom, % 199.35/199.80 ! [V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_b,tc_List_Olist(T_b),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))),V_A_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_length__remove1,axiom, % 199.35/199.80 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.80 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.80 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) % 199.35/199.80 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.80 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_upto_Opsimps,axiom, % 199.35/199.80 ! [V_j_2,V_i_2] : % 199.35/199.80 ( 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))) % 199.35/199.80 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 199.35/199.80 => 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)) ) % 199.35/199.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 199.35/199.80 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_select,axiom, % 199.35/199.80 ! [V_s_2,T_b,V_xs_2] : % 199.35/199.80 ( V_xs_2 != c_List_Olist_ONil(T_b) % 199.35/199.80 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_listset_Osimps_I1_J,axiom, % 199.35/199.80 ! [T_b] : c_List_Olistset(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 199.35/199.80 % 199.35/199.80 fof(fact_zip__Cons1,axiom, % 199.35/199.80 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_c,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),T_c),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_c),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)))),hAPP(c_List_Ozip(T_b,T_c),V_xs_2))),V_ys_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list_Osimps_I5_J,axiom, % 199.35/199.80 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_list_Osimps_I4_J,axiom, % 199.35/199.80 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),c_List_Olist_ONil(T_c)) = V_f1_2 ). % 199.35/199.80 % 199.35/199.80 fof(fact_listset_Osimps_I2_J,axiom, % 199.35/199.80 ! [V_As_2,V_A_2,T_b] : c_List_Olistset(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_b,V_A_2,c_List_Olistset(T_b,V_As_2)) ). % 199.35/199.80 % 199.35/199.80 fof(fact_zip__Cons,axiom, % 199.35/199.80 ! [V_ys_2,V_y_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_b,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_b),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),c_List_Ozip(T_b,T_c)),V_ys_2))),V_xs_2) ). % 199.35/199.80 % 199.35/199.80 fof(fact_sorted__list__of__set__remove,axiom, % 199.35/199.80 ! [V_x_2,V_A_2,T_b] : % 199.35/199.80 ( class_Orderings_Olinorder(T_b) % 199.35/199.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.80 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = c_List_Oremove1(T_b,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_upto_Opinduct,axiom, % 199.35/199.80 ! [V_Pa_2,V_a1_2,V_a0_2] : % 199.35/199.80 ( 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))) % 199.35/199.80 => ( ! [B_i,B_j] : % 199.35/199.80 ( 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))) % 199.35/199.80 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j)) % 199.35/199.80 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) % 199.35/199.80 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_sorted__list__of__set__empty,axiom, % 199.35/199.80 ! [T_b] : % 199.35/199.80 ( class_Orderings_Olinorder(T_b) % 199.35/199.80 => c_List_Olinorder__class_Osorted__list__of__set(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ) ). % 199.35/199.80 % 199.35/199.80 fof(fact_anamorph_Osimps,axiom, % 199.35/199.80 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 199.35/199.80 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.35/199.80 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2) ) % 199.35/199.80 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.35/199.80 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(tc_List_Olist(T_b),T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),c_COMBB(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),T_b),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),T_c))),c_List_Olist_OCons(T_b))))),hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))),hAPP(V_f_2,V_x_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sublist__Cons,axiom, % 199.35/199.81 ! [V_A_2,V_l_2,V_x_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_b)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olist_ONil(T_b))),c_List_Osublist(T_b,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append1__eq__conv,axiom, % 199.35/199.81 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 199.35/199.81 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) % 199.35/199.81 <=> ( V_xs_2 = V_ys_2 % 199.35/199.81 & V_x_2 = V_y_2 ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_Cons__eq__append__conv,axiom, % 199.35/199.81 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) % 199.35/199.81 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 199.35/199.81 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 ) % 199.35/199.81 | ? [B_ys_H] : % 199.35/199.81 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2 % 199.35/199.81 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__eq__Cons__conv,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] : % 199.35/199.81 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) % 199.35/199.81 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 199.35/199.81 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) % 199.35/199.81 | ? [B_ys_H] : % 199.35/199.81 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) % 199.35/199.81 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_Cons__eq__appendI,axiom, % 199.35/199.81 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] : % 199.35/199.81 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys % 199.35/199.81 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs) % 199.35/199.81 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__Cons,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__in__lists__conv,axiom, % 199.35/199.81 ! [V_A_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)),c_List_Olists(T_b,V_A_2))) % 199.35/199.81 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 199.35/199.81 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__assoc,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__eq__append__conv2,axiom, % 199.35/199.81 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_ts_2) % 199.35/199.81 <=> ? [B_us] : % 199.35/199.81 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us) % 199.35/199.81 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 ) % 199.35/199.81 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2 % 199.35/199.81 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_same__append__eq,axiom, % 199.35/199.81 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_zs_2) % 199.35/199.81 <=> V_ys_2 = V_zs_2 ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__same__eq,axiom, % 199.35/199.81 ! [V_zs_2,V_xs_2,V_ys_2,T_b] : % 199.35/199.81 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_xs_2) % 199.35/199.81 <=> V_ys_2 = V_zs_2 ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__eq__appendI,axiom, % 199.35/199.81 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] : % 199.35/199.81 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs % 199.35/199.81 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us) % 199.35/199.81 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsum__append,axiom, % 199.35/199.81 ! [V_ys,V_xs,T_a] : % 199.35/199.81 ( class_Groups_Omonoid__add(T_a) % 199.35/199.81 => 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)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__append,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_zip__append,axiom, % 199.35/199.81 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] : % 199.35/199.81 ( 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) % 199.35/199.81 => ( 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) % 199.35/199.81 => 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)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__append,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_eq__Nil__appendI,axiom, % 199.35/199.81 ! [T_a,V_ys,V_xs] : % 199.35/199.81 ( V_xs = V_ys % 199.35/199.81 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__self__conv2,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2 % 199.35/199.81 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__self__conv,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2 % 199.35/199.81 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__is__Nil__conv,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b) % 199.35/199.81 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 199.35/199.81 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_self__append__conv2,axiom, % 199.35/199.81 ! [V_xs_2,T_b,V_ys_2] : % 199.35/199.81 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 199.35/199.81 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_self__append__conv,axiom, % 199.35/199.81 ! [V_ys_2,T_b,V_xs_2] : % 199.35/199.81 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 199.35/199.81 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__Nil2,axiom, % 199.35/199.81 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ). % 199.35/199.81 % 199.35/199.81 fof(fact_Nil__is__append__conv,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 199.35/199.81 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 199.35/199.81 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__Nil,axiom, % 199.35/199.81 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ). % 199.35/199.81 % 199.35/199.81 fof(fact_butlast__append,axiom, % 199.35/199.81 ! [V_xs,T_a,V_ys] : % 199.35/199.81 ( ( V_ys = c_List_Olist_ONil(T_a) % 199.35/199.81 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) ) % 199.35/199.81 & ( V_ys != c_List_Olist_ONil(T_a) % 199.35/199.81 => 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)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_nth__append__length,axiom, % 199.35/199.81 ! [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 ). % 199.35/199.81 % 199.35/199.81 fof(fact_nth__append__length__plus,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_take__append,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__update__append1,axiom, % 199.35/199.81 ! [V_x,V_ys,V_xs,T_a,V_i] : % 199.35/199.81 ( 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))) % 199.35/199.81 => 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) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__update__length,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_remove1__append,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)),V_ys_2) ) % 199.35/199.81 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oremove1(T_b,V_x_2,V_ys_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_in__set__butlast__appendI,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 199.35/199.81 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) ) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_butlast__snoc,axiom, % 199.35/199.81 ! [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 ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__listrel1I,axiom, % 199.35/199.81 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 199.35/199.81 & V_us_2 = V_vs_2 ) % 199.35/199.81 | ( V_xs_2 = V_ys_2 % 199.35/199.81 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_us_2),V_vs_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_lexord__append__leftI,axiom, % 199.35/199.81 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__append,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 199.35/199.81 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.81 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 199.35/199.81 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_nth__append,axiom, % 199.35/199.81 ! [V_ys,V_xs,T_a,V_n] : % 199.35/199.81 ( ( 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))) % 199.35/199.81 => 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) ) % 199.35/199.81 & ( ~ 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))) % 199.35/199.81 => 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))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__update__append,axiom, % 199.35/199.81 ! [V_x,V_ys,V_xs,T_a,V_n] : % 199.35/199.81 ( ( 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))) % 199.35/199.81 => 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) ) % 199.35/199.81 & ( ~ 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))) % 199.35/199.81 => 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)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sublist__append,axiom, % 199.35/199.81 ! [V_A_2,V_l_H_2,V_l_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Osublist(T_b,V_l_2,V_A_2)),c_List_Osublist(T_b,V_l_H_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_l_2)))),V_A_2)))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listrel1I,axiom, % 199.35/199.81 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 199.35/199.81 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_vs_2)) % 199.35/199.81 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_vs_2)) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_lexord__append__left__rightI,axiom, % 199.35/199.81 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_ba_2,V_a_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_ba_2),V_y_2)))),c_List_Olexord(T_b,V_r_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_take__Suc__conv__app__nth,axiom, % 199.35/199.81 ! [V_xs,T_a,V_i] : % 199.35/199.81 ( 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))) % 199.35/199.81 => 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_snoc__listrel1__snoc__iff,axiom, % 199.35/199.81 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)))),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))))),c_List_Olistrel1(T_b,V_r_2))) % 199.35/199.81 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 199.35/199.81 & V_x_2 = V_y_2 ) % 199.35/199.81 | ( V_xs_2 = V_ys_2 % 199.35/199.81 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listrel1E,axiom, % 199.35/199.81 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 199.35/199.81 => ~ ! [B_x,B_y] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 199.35/199.81 => ! [B_us,B_vs] : % 199.35/199.81 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs)) % 199.35/199.81 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_lexord__append__leftD,axiom, % 199.35/199.81 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) % 199.35/199.81 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_a)),V_r_2)) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate1__def,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : hAPP(c_List_Orotate1(T_b),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)))),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_upd__conv__take__nth__drop,axiom, % 199.35/199.81 ! [V_a,V_xs,T_a,V_i] : % 199.35/199.81 ( 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))) % 199.35/199.81 => 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__take__drop__id,axiom, % 199.35/199.81 ! [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 ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__Suc__Cons,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__1__Cons,axiom, % 199.35/199.81 ! [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 ). % 199.35/199.81 % 199.35/199.81 fof(fact_nth__via__drop,axiom, % 199.35/199.81 ! [V_ys,V_y,V_xs,V_n,T_a] : % 199.35/199.81 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys) % 199.35/199.81 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct1__rotate,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2))) % 199.35/199.81 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__drop,axiom, % 199.35/199.81 ! [V_i,V_xs,T_a] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.35/199.81 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__butlast,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_butlast__drop,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__take,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_take__drop,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__0,axiom, % 199.35/199.81 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__drop,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__zip,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__drop,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__rotate1,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__rotate1,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_in__set__dropD,axiom, % 199.35/199.81 ! [V_xs_2,V_n_2,V_x_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__drop__subset,axiom, % 199.35/199.81 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate1__is__Nil__conv,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 199.35/199.81 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__Nil,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__drop__subset__set__drop,axiom, % 199.35/199.81 ! [V_xs_2,T_b,V_m_2,V_n_2] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__all,axiom, % 199.35/199.81 ! [V_n,V_xs,T_a] : % 199.35/199.81 ( 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)) % 199.35/199.81 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__eq__Nil,axiom, % 199.35/199.81 ! [V_xs_2,V_n_2,T_b] : % 199.35/199.81 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 199.35/199.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_n_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__append,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__eq__conv__conj,axiom, % 199.35/199.81 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2 % 199.35/199.81 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) % 199.35/199.81 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__Cons,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Odrop(T_b)),V_xs_2),V_n_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__Cons_H,axiom, % 199.35/199.81 ! [V_xs,V_x,T_a,V_n] : % 199.35/199.81 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.81 => 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) ) % 199.35/199.81 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.81 => 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) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_nth__drop,axiom, % 199.35/199.81 ! [V_xs,T_a,V_i,V_n] : % 199.35/199.81 ( 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))) % 199.35/199.81 => 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)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__eq__append__conv__if,axiom, % 199.35/199.81 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_b] : % 199.35/199.81 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2) % 199.35/199.81 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2))) % 199.35/199.81 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2) % 199.35/199.81 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) ) % 199.35/199.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2))) % 199.35/199.81 => ( hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2 % 199.35/199.81 & hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_nth__drop_H,axiom, % 199.35/199.81 ! [V_xs,T_a,V_i] : % 199.35/199.81 ( 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))) % 199.35/199.81 => 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) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate__simps,axiom, % 199.35/199.81 ! [V_xs,V_x,T_b,T_a] : % 199.35/199.81 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) % 199.35/199.81 & 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__Cons__number__of,axiom, % 199.35/199.81 ! [V_xs,V_x,T_a,V_v] : % 199.35/199.81 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.81 => 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) ) % 199.35/199.81 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.81 => 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) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_take__add,axiom, % 199.35/199.81 ! [V_xs,T_a,V_j,V_i] : % 199.35/199.81 ( 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))) % 199.35/199.81 => 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate1__length01,axiom, % 199.35/199.81 ! [V_xs,T_a] : % 199.35/199.81 ( 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))) % 199.35/199.81 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_zip__append1,axiom, % 199.35/199.81 ! [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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_zip__append2,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_id__take__nth__drop,axiom, % 199.35/199.81 ! [V_xs,T_a,V_i] : % 199.35/199.81 ( 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))) % 199.35/199.81 => 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_take__hd__drop,axiom, % 199.35/199.81 ! [V_xs,T_a,V_n] : % 199.35/199.81 ( 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))) % 199.35/199.81 => 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) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_hd__drop__conv__nth,axiom, % 199.35/199.81 ! [V_n,T_a,V_xs] : % 199.35/199.81 ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.81 => ( 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))) % 199.35/199.81 => 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) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_hd_Osimps,axiom, % 199.35/199.81 ! [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 ). % 199.35/199.81 % 199.35/199.81 fof(fact_hd__append,axiom, % 199.35/199.81 ! [V_ys,T_a,V_xs] : % 199.35/199.81 ( ( V_xs = c_List_Olist_ONil(T_a) % 199.35/199.81 => 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) ) % 199.35/199.81 & ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.81 => 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) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_hd__append2,axiom, % 199.35/199.81 ! [V_ys,T_a,V_xs] : % 199.35/199.81 ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.81 => 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) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_hd__in__set,axiom, % 199.35/199.81 ! [T_b,V_xs_2] : % 199.35/199.81 ( V_xs_2 != c_List_Olist_ONil(T_b) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_hd__conv__nth,axiom, % 199.35/199.81 ! [T_a,V_xs] : % 199.35/199.81 ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.81 => 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)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate1__hd__tl,axiom, % 199.35/199.81 ! [T_a,V_xs] : % 199.35/199.81 ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.81 => 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_hd__rotate__conv__nth,axiom, % 199.35/199.81 ! [V_n,T_a,V_xs] : % 199.35/199.81 ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.81 => 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_tl__drop,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__tl,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_tl_Osimps_I2_J,axiom, % 199.35/199.81 ! [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 ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__rotate,axiom, % 199.35/199.81 ! [V_xs_2,V_n_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2))) % 199.35/199.81 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__tl,axiom, % 199.35/199.81 ! [V_xs,T_a] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.35/199.81 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate0,axiom, % 199.35/199.81 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate__rotate,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate__add,axiom, % 199.35/199.81 ! [V_n_2,V_m_2,T_b] : c_List_Orotate(T_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orotate(T_b,V_m_2)),c_List_Orotate(T_b,V_n_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__rotate,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__rotate,axiom, % 199.35/199.81 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate__is__Nil__conv,axiom, % 199.35/199.81 ! [V_xs_2,V_n_2,T_b] : % 199.35/199.81 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 199.35/199.81 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_tl_Osimps_I1_J,axiom, % 199.35/199.81 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate__def,axiom, % 199.35/199.81 ! [V_n_2,T_b] : c_List_Orotate(T_b,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_n_2),c_List_Orotate1(T_b)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate1__rotate__swap,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_tl__append2,axiom, % 199.35/199.81 ! [V_ys,T_a,V_xs] : % 199.35/199.81 ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.81 => 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) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_take__tl,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate__conv__mod,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__Suc,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate__Suc,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_tl__append,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,hAPP(c_List_Otl(T_b),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b)),V_ys_2))),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate__id,axiom, % 199.35/199.81 ! [V_xs,T_a,V_n] : % 199.35/199.81 ( 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) % 199.35/199.81 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate__length01,axiom, % 199.35/199.81 ! [V_n,V_xs,T_a] : % 199.35/199.81 ( 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))) % 199.35/199.81 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__tl,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_tl__take,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_take__Suc,axiom, % 199.35/199.81 ! [V_n,T_a,V_xs] : % 199.35/199.81 ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.81 => 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate__drop__take,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_fold1__set,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 199.35/199.81 => ( V_xs_2 != c_List_Olist_ONil(T_b) % 199.35/199.81 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Otl(T_b),V_xs_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_lexord__append__rightI,axiom, % 199.35/199.81 ! [V_r_2,V_x_2,T_b,V_y_2] : % 199.35/199.81 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldl__Nil,axiom, % 199.35/199.81 ! [V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),c_List_Olist_ONil(T_c)) = V_a_2 ). % 199.35/199.81 % 199.35/199.81 fof(fact_start__le__sum,axiom, % 199.35/199.81 ! [V_ns_2,V_n_2,V_m_2] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 199.35/199.81 => 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldl__absorb0,axiom, % 199.35/199.81 ! [V_zs_2,V_x_2,T_b] : % 199.35/199.81 ( class_Groups_Omonoid__add(T_b) % 199.35/199.81 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_zs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_zs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldl__assoc,axiom, % 199.35/199.81 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 199.35/199.81 ( class_Groups_Osemigroup__add(T_b) % 199.35/199.81 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_y_2),V_zs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldl__Cons,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldl__append,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2)),V_ys_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsum__foldl,axiom, % 199.35/199.81 ! [T_b] : % 199.35/199.81 ( class_Groups_Omonoid__add(T_b) % 199.35/199.81 => c_List_Omonoid__add__class_Olistsum(T_b) = c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sum__eq__0__conv,axiom, % 199.35/199.81 ! [V_ns_2,V_m_2] : % 199.35/199.81 ( 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) % 199.35/199.81 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.81 & ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 199.35/199.81 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_fun__left__comm__idem_Ofold__set,axiom, % 199.35/199.81 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 199.35/199.81 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_Sup__set__fold,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.81 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_Inf__set__fold,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.81 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_Sup__fin__set__fold,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( class_Lattices_Olattice(T_b) % 199.35/199.81 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_Inf__fin__set__fold,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( class_Lattices_Olattice(T_b) % 199.35/199.81 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_Min__fin__set__fold,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_Max__fin__set__fold,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_min__max_OInf__fin__set__fold,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_min__max_OSup__fin__set__fold,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_SUPR__set__fold,axiom, % 199.35/199.81 ! [V_f_2,V_xs_2,T_c,T_b] : % 199.35/199.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.81 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_INFI__set__fold,axiom, % 199.35/199.81 ! [V_f_2,V_xs_2,T_c,T_b] : % 199.35/199.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.35/199.81 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_elem__le__sum,axiom, % 199.35/199.81 ! [V_ns_2,V_n_2] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 199.35/199.81 => 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__list__of__set__insert,axiom, % 199.35/199.81 ! [V_x_2,V_A_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.81 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_lexord__Nil__left,axiom, % 199.35/199.81 ! [V_r_2,V_y_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 199.35/199.81 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_insort__key_Osimps_I1_J,axiom, % 199.35/199.81 ! [V_x_2,V_f_2,T_b,T_c] : % 199.35/199.81 ( class_Orderings_Olinorder(T_c) % 199.35/199.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_insort__key_Osimps_I2_J,axiom, % 199.35/199.81 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 199.35/199.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) ) % 199.35/199.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 199.35/199.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_ys_2)) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_insort__key__left__comm,axiom, % 199.35/199.81 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) % 199.35/199.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),V_xs_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_insort__left__comm,axiom, % 199.35/199.81 ! [V_xs_2,V_y_2,V_x_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_fun__left__comm__insort,axiom, % 199.35/199.81 ! [T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => c_Finite__Set_Ofun__left__comm(T_b,tc_List_Olist(T_b),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__insort,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 199.35/199.81 ( class_Orderings_Olinorder(T_c) % 199.35/199.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__insort,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 199.35/199.81 ( class_Orderings_Olinorder(T_c) % 199.35/199.81 => hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_remove1__insort,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) = V_xs_2 ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_insort__not__Nil,axiom, % 199.35/199.81 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] : % 199.35/199.81 ( class_Orderings_Olinorder(T_c) % 199.35/199.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_b) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__insort,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 199.35/199.81 ( class_Orderings_Olinorder(T_c) % 199.35/199.81 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2))) % 199.35/199.81 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_insort__insert__insort__key,axiom, % 199.35/199.81 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)))) % 199.35/199.81 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_insort__insert__insort,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__insort__insert,axiom, % 199.35/199.81 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] : % 199.35/199.81 ( class_Orderings_Olinorder(T_c) % 199.35/199.81 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.81 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_c,V_f_2,V_x_2,V_xs_2))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_insort__insert__triv,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__insort__insert,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_insort__insert__key__triv,axiom, % 199.35/199.81 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)))) % 199.35/199.81 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_last__list__update,axiom, % 199.35/199.81 ! [V_x,V_k,T_a,V_xs] : % 199.35/199.81 ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.81 => ( ( 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)) % 199.35/199.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x ) % 199.35/199.81 & ( 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)) % 199.35/199.81 => 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) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_last__conv__nth,axiom, % 199.35/199.81 ! [T_a,V_xs] : % 199.35/199.81 ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.81 => 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_last_Osimps,axiom, % 199.35/199.81 ! [V_x,T_a,V_xs] : % 199.35/199.81 ( ( V_xs = c_List_Olist_ONil(T_a) % 199.35/199.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) % 199.35/199.81 & ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_last__ConsR,axiom, % 199.35/199.81 ! [V_x,T_a,V_xs] : % 199.35/199.81 ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_last__ConsL,axiom, % 199.35/199.81 ! [V_x,T_a,V_xs] : % 199.35/199.81 ( V_xs = c_List_Olist_ONil(T_a) % 199.35/199.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_last__appendL,axiom, % 199.35/199.81 ! [V_xs,T_a,V_ys] : % 199.35/199.81 ( V_ys = c_List_Olist_ONil(T_a) % 199.35/199.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_last__appendR,axiom, % 199.35/199.81 ! [V_xs,T_a,V_ys] : % 199.35/199.81 ( V_ys != c_List_Olist_ONil(T_a) % 199.35/199.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_last__append,axiom, % 199.35/199.81 ! [V_xs,T_a,V_ys] : % 199.35/199.81 ( ( V_ys = c_List_Olist_ONil(T_a) % 199.35/199.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) % 199.35/199.81 & ( V_ys != c_List_Olist_ONil(T_a) % 199.35/199.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_last__in__set,axiom, % 199.35/199.81 ! [T_b,V_as_2] : % 199.35/199.81 ( V_as_2 != c_List_Olist_ONil(T_b) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_last__snoc,axiom, % 199.35/199.81 ! [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 ). % 199.35/199.81 % 199.35/199.81 fof(fact_last__drop,axiom, % 199.35/199.81 ! [V_xs,T_a,V_n] : % 199.35/199.81 ( 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))) % 199.35/199.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_snoc__eq__iff__butlast,axiom, % 199.35/199.81 ! [V_ys_2,V_x_2,V_xs_2,T_b] : % 199.35/199.81 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = V_ys_2 % 199.35/199.81 <=> ( V_ys_2 != c_List_Olist_ONil(T_b) % 199.35/199.81 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2 % 199.35/199.81 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__butlast__last__id,axiom, % 199.35/199.81 ! [T_a,V_xs] : % 199.35/199.81 ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.81 => 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 ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_lists_Osimps,axiom, % 199.35/199.81 ! [V_A_2,V_a_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2))) % 199.35/199.81 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 199.35/199.81 | ? [B_a,B_l] : % 199.35/199.81 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l) % 199.35/199.81 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 199.35/199.81 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_select__weigth__select,axiom, % 199.35/199.81 ! [T_b,V_xs_2] : % 199.35/199.81 ( V_xs_2 != c_List_Olist_ONil(T_b) % 199.35/199.81 => c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_b,V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_inj__mapI,axiom, % 199.35/199.81 ! [V_f_2,T_c,T_b] : % 199.35/199.81 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.81 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_last__map,axiom, % 199.35/199.81 ! [V_f_2,T_c,T_b,V_xs_2] : % 199.35/199.81 ( V_xs_2 != c_List_Olist_ONil(T_b) % 199.35/199.81 => c_List_Olast(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_b,V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldl__map,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_d,V_a_2,V_g_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,T_b)),T_b),c_COMBB(T_c,T_b,T_d)),V_g_2)),V_f_2),V_a_2),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__tl,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Otl(T_c),V_xs_2)) = hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate__map,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(c_List_Orotate(T_b,V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orotate(T_c,V_n_2),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_zip__same__conv__map,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_zip__map2,axiom, % 199.35/199.81 ! [V_ys_2,V_f_2,T_d,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__zip__map2,axiom, % 199.35/199.81 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_e),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_e,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_c,T_d)),tc_fun(T_e,T_b),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_e),V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),T_c),c_COMBB(T_d,tc_prod(T_c,T_d),T_e)),c_Product__Type_OPair(T_c,T_d))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_c,T_e),V_xs_2),V_ys_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__zip__map,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_g_2,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_e,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_d,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_d),V_f_2)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_e),c_Product__Type_OPair(T_c,T_d)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_e,T_d),V_xs_2),V_ys_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_zip__map1,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_zip__map__map,axiom, % 199.35/199.81 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_e),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),T_d),c_COMBB(T_c,tc_prod(T_b,T_c),T_e)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_d,T_e),V_xs_2),V_ys_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_Nil__is__map__conv,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) % 199.35/199.81 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map_Osimps_I1_J,axiom, % 199.35/199.81 ! [V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__is__Nil__conv,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_b,T_c] : % 199.35/199.81 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b) % 199.35/199.81 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__update,axiom, % 199.35/199.81 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__eq__conv,axiom, % 199.35/199.81 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] : % 199.35/199.81 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2) % 199.35/199.81 <=> ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2))) % 199.35/199.81 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__map,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__eq__imp__length__eq,axiom, % 199.35/199.81 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] : % 199.35/199.81 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2) % 199.35/199.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsum__addf,axiom, % 199.35/199.81 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsum__subtractf,axiom, % 199.35/199.81 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( class_Groups_Oab__group__add(T_b) % 199.35/199.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsum__const__mult,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,V_ca_2,T_c,T_b] : % 199.35/199.81 ( class_Rings_Osemiring__0(T_b) % 199.35/199.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsum__mult__const,axiom, % 199.35/199.81 ! [V_xs_2,V_ca_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( class_Rings_Osemiring__0(T_b) % 199.35/199.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_ca_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),V_ca_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsum__0,axiom, % 199.35/199.81 ! [V_xs_2,T_c,T_b] : % 199.35/199.81 ( class_Groups_Omonoid__add(T_b) % 199.35/199.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__injective,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 199.35/199.81 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2) % 199.35/199.81 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.35/199.81 => V_xs_2 = V_ys_2 ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_inj__map__eq__map,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.81 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2) % 199.35/199.81 <=> V_xs_2 = V_ys_2 ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__ident,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ). % 199.35/199.81 % 199.35/199.81 fof(fact_take__map,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__butlast,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Obutlast(T_c,V_xs_2)) = c_List_Obutlast(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__map,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map_Osimps_I2_J,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__append,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_hd__map,axiom, % 199.35/199.81 ! [V_f_2,T_c,T_b,V_xs_2] : % 199.35/199.81 ( V_xs_2 != c_List_Olist_ONil(T_b) % 199.35/199.81 => hAPP(c_List_Ohd(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_b),V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__map,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_List_Omap_Oid,axiom, % 199.35/199.81 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_List_Omap_Oidentity,axiom, % 199.35/199.81 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__map,axiom, % 199.35/199.81 ! [V_xs_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_List_Omap_Ocompositionality,axiom, % 199.35/199.81 ! [V_list_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_list_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__comp__map,axiom, % 199.35/199.81 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_List_Omap_Ocomp,axiom, % 199.35/199.81 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_inj__on__map__eq__map,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2))) % 199.35/199.81 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2) % 199.35/199.81 <=> V_xs_2 = V_ys_2 ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__inj__on,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 199.35/199.81 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2) % 199.35/199.81 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(c_List_Oset(T_c),V_ys_2))) % 199.35/199.81 => V_xs_2 = V_ys_2 ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_nth__map,axiom, % 199.35/199.81 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.81 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__fun__upd,axiom, % 199.35/199.81 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] : % 199.35/199.81 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => hAPP(hAPP(c_List_Omap(T_b,T_c),c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_y_2,V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__map,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 199.35/199.81 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) % 199.35/199.81 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsum__abs,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_b,T_b),c_Groups_Oabs__class_Oabs(T_b)),V_xs_2)))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_uminus__listsum__map,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( class_Groups_Oab__group__add(T_b) % 199.35/199.81 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_inj__on__mapI,axiom, % 199.35/199.81 ! [V_A_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),V_A_2))) % 199.35/199.81 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),V_A_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_inj__map,axiom, % 199.35/199.81 ! [V_f_2,T_c,T_b] : % 199.35/199.81 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) % 199.35/199.81 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_inj__mapD,axiom, % 199.35/199.81 ! [V_f_2,T_c,T_b] : % 199.35/199.81 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) % 199.35/199.81 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__size__map,axiom, % 199.35/199.81 ! [V_xs_2,V_g_2,T_c,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_c,hAPP(c_Fun_Ocomp(T_b,tc_Nat_Onat,T_c,V_f_2),V_g_2),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsum__distinct__conv__setsum__set,axiom, % 199.35/199.81 ! [V_f_2,V_xs_2,T_b,T_c] : % 199.35/199.81 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.81 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsum__triv,axiom, % 199.35/199.81 ! [V_xs_2,V_r_2,T_c,T_b] : % 199.35/199.81 ( class_Rings_Osemiring__1(T_b) % 199.35/199.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))),V_r_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsum__map__remove1,axiom, % 199.35/199.81 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] : % 199.35/199.81 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_Nitpick_Osetsum_H__def,axiom, % 199.35/199.81 ! [V_f_2,V_A_2,T_b,T_c] : % 199.35/199.81 ( class_Groups_Ocomm__monoid__add(T_c) % 199.35/199.81 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.81 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b))))) ) % 199.35/199.81 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.81 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_pick__same,axiom, % 199.35/199.81 ! [V_xs_2,T_b,V_l_2] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.81 => hAPP(c_Random_Opick(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)),hAPP(c_Code__Numeral_Oof__nat,V_l_2)) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_l_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_one__code__numeral__def,axiom, % 199.35/199.81 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_zero__code__numeral__def,axiom, % 199.35/199.81 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_times__code__numeral__code,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_Code__Numeral_Oof__nat__code,axiom, % 199.35/199.81 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ). % 199.35/199.81 % 199.35/199.81 fof(fact_Code__Numeral_Oof__nat__inject,axiom, % 199.35/199.81 ! [V_m_2,V_n_2] : % 199.35/199.81 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2) % 199.35/199.81 <=> V_n_2 = V_m_2 ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_less__code__numeral__code,axiom, % 199.35/199.81 ! [V_m_2,V_n_2] : % 199.35/199.81 ( 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))) % 199.35/199.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_code__numeral_Oof__nat__inject,axiom, % 199.35/199.81 ! [V_y_2,V_x_2] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 199.35/199.81 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2) % 199.35/199.81 <=> V_x_2 = V_y_2 ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__fst__zip,axiom, % 199.35/199.81 ! [V_ys_2,T_c,V_xs_2,T_b] : % 199.35/199.81 ( 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) % 199.35/199.81 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_xs_2 ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__snd__zip,axiom, % 199.35/199.81 ! [V_ys_2,T_c,V_xs_2,T_b] : % 199.35/199.81 ( 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) % 199.35/199.81 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_ys_2 ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_number__of__code__numeral__def,axiom, % 199.35/199.81 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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_zip__map__fst__snd,axiom, % 199.35/199.81 ! [V_zs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2)) = V_zs_2 ). % 199.35/199.81 % 199.35/199.81 fof(fact_plus__code__numeral__code,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_less__eq__code__numeral__code,axiom, % 199.35/199.81 ! [V_m_2,V_n_2] : % 199.35/199.81 ( 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))) % 199.35/199.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_pick__member,axiom, % 199.35/199.81 ! [V_xs_2,T_b,V_i_2] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i_2),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Random_Opick(T_b,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_zip__eq__conv,axiom, % 199.35/199.81 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] : % 199.35/199.81 ( 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) % 199.35/199.81 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2 % 199.35/199.81 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2) = V_xs_2 % 199.35/199.81 & hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2) = V_ys_2 ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__size__conv__listsum,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(T_b,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_code__numeral__not__eq__zero,axiom, % 199.35/199.81 ! [V_i_2] : % 199.35/199.81 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 199.35/199.81 <=> 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)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_interv__listsum__conv__setsum__set__int,axiom, % 199.35/199.81 ! [V_l_2,V_k_2,V_f_2,T_b] : % 199.35/199.81 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_k_2,V_l_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_setsum__set__upto__conv__listsum__int,axiom, % 199.35/199.81 ! [V_j_2,V_i_2,V_f_2,T_b] : % 199.35/199.81 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_select__weight__member,axiom, % 199.35/199.81 ! [V_s_2,V_xs_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_select__weight__def,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_b,V_xs_2))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_select__def,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : c_Random_Oselect(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_b),V_xs_2)),c_Code__Numeral_Onat__of))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_subtract__code__numeral__code,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_nat__of__of__nat,axiom, % 199.35/199.81 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ). % 199.35/199.81 % 199.35/199.81 fof(fact_of__nat__nat__of,axiom, % 199.35/199.81 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ). % 199.35/199.81 % 199.35/199.81 fof(fact_nat__of__inverse,axiom, % 199.35/199.81 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ). % 199.35/199.81 % 199.35/199.81 fof(fact_times__code__numeral__def,axiom, % 199.35/199.81 ! [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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_code__numeral_Onat__of__inject,axiom, % 199.35/199.81 ! [V_y_2,V_x_2] : % 199.35/199.81 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2) % 199.35/199.81 <=> V_x_2 = V_y_2 ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_Code__Numeral_Onat__of__inject,axiom, % 199.35/199.81 ! [V_l_2,V_k_2] : % 199.35/199.81 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2) % 199.35/199.81 <=> V_k_2 = V_l_2 ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_type__definition__code__numeral,axiom, % 199.35/199.81 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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_less__code__numeral__def,axiom, % 199.35/199.81 ! [V_m_2,V_n_2] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 199.35/199.81 <=> 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_nat__of,axiom, % 199.35/199.81 ! [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)))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_nat__of__number,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_int__of__def,axiom, % 199.35/199.81 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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_less__eq__code__numeral__def,axiom, % 199.35/199.81 ! [V_m_2,V_n_2] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 199.35/199.81 <=> 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_nat__of__code,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_nat__of__aux__def,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_Suc__code__numeral__def,axiom, % 199.35/199.81 ! [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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_minus__code__numeral__def,axiom, % 199.35/199.81 ! [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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_of__nat__inverse,axiom, % 199.35/199.81 ! [V_y_2] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 199.35/199.81 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_plus__code__numeral__def,axiom, % 199.35/199.81 ! [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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_div__code__numeral__def,axiom, % 199.35/199.81 ! [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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_subtract__code__numeral__def,axiom, % 199.35/199.81 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 199.35/199.81 % 199.35/199.81 fof(fact_minus__code__numeral__code,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_mod__code__numeral__def,axiom, % 199.35/199.81 ! [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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_code__numeral__decr,axiom, % 199.35/199.81 ! [V_k] : % 199.35/199.81 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 199.35/199.81 => 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsum__mono,axiom, % 199.35/199.81 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] : % 199.35/199.81 ( ( class_Groups_Omonoid__add(T_c) % 199.35/199.81 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 199.35/199.81 => ( ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_g_2),V_xs_2)))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_New__DSequence_Opos__not__seq__def,axiom, % 199.35/199.81 ! [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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_partition__set,axiom, % 199.35/199.81 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 199.35/199.81 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 199.35/199.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_yes_2)),hAPP(c_List_Oset(T_b),V_no_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_lists__Int__eq,axiom, % 199.35/199.81 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_B_2))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsp_ONil,axiom, % 199.35/199.81 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsp_Oequations_I1_J,axiom, % 199.35/199.81 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_in__listsp__conv__set,axiom, % 199.35/199.81 ! [V_xs_2,V_A_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 199.35/199.81 <=> ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsp__conj__eq,axiom, % 199.35/199.81 ! [V_x_2,V_B_2,V_A_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_A_2)),V_B_2)),V_x_2)) % 199.35/199.81 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2)) % 199.35/199.81 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsp__infI,axiom, % 199.35/199.81 ! [V_B_2,V_l_2,V_A_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2)) % 199.35/199.81 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2)) % 199.35/199.81 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsp__inf__eq,axiom, % 199.35/199.81 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsp_Oequations_I2_J,axiom, % 199.35/199.81 ! [V_a2_2,V_a1_2,V_A_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2))) % 199.35/199.81 <=> ( hBOOL(hAPP(V_A_2,V_a1_2)) % 199.35/199.81 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_append__in__listsp__conv,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_A_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 199.35/199.81 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 199.35/199.81 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsp__mono,axiom, % 199.35/199.81 ! [V_B_2,V_A_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_partition__P,axiom, % 199.35/199.81 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 199.35/199.81 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 199.35/199.81 => ( ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2))) % 199.35/199.81 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.35/199.81 & ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2))) % 199.35/199.81 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_partition_Osimps_I1_J,axiom, % 199.35/199.81 ! [V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsp__lists__eq,axiom, % 199.35/199.81 ! [V_x_2,V_A_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2)) % 199.35/199.81 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_partition_Osimps_I2_J,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_Pa_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_lists__IntI,axiom, % 199.35/199.81 ! [V_B_2,V_A_2,V_l_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2))) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2))) % 199.35/199.81 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_l_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_product_Osimps_I2_J,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : c_Enum_Oproduct(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Omap(T_c,tc_prod(T_b,T_c)),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__def,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.35/199.81 <=> ( 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) % 199.35/199.81 & ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__map1,axiom, % 199.35/199.81 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2) % 199.35/199.81 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_Pa_2),V_f_2),V_as_2,V_bs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__map2,axiom, % 199.35/199.81 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2)) % 199.35/199.81 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_Pa_2)),V_f_2),V_as_2,V_bs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__dropI,axiom, % 199.35/199.81 ! [V_n_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2) % 199.35/199.81 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_bs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__appendI,axiom, % 199.35/199.81 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,V_Pa_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_ba_2) % 199.35/199.81 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_ca_2,V_d_2) % 199.35/199.81 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_List_Oappend(T_c),V_ba_2),V_d_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__append,axiom, % 199.35/199.81 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] : % 199.35/199.81 ( 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) % 199.35/199.81 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2)) % 199.35/199.81 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.35/199.81 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__Cons,axiom, % 199.35/199.81 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) % 199.35/199.81 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 199.35/199.81 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__takeI,axiom, % 199.35/199.81 ! [V_n_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.35/199.81 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_ys_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__eq,axiom, % 199.35/199.81 ! [T_b,V_ys_2,V_xs_2] : % 199.35/199.81 ( V_xs_2 = V_ys_2 % 199.35/199.81 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__lengthD,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.35/199.81 => 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) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__Nil2,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c)) % 199.35/199.81 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__Nil,axiom, % 199.35/199.81 ! [V_ys_2,V_Pa_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2) % 199.35/199.81 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_product_Osimps_I1_J,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__conv__all__nth,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.35/199.81 <=> ( 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) % 199.35/199.81 & ! [B_i] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.81 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__nthD,axiom, % 199.35/199.81 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.81 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__nthD2,axiom, % 199.35/199.81 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))) % 199.35/199.81 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__update__cong,axiom, % 199.35/199.81 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.81 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 199.35/199.81 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__update__cong2,axiom, % 199.35/199.81 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))) % 199.35/199.81 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__product,axiom, % 199.35/199.81 ! [V_ys,T_b,V_xs,T_a] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.35/199.81 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys)) % 199.35/199.81 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_product__list__set,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_List_Oset(T_c),V_ys_2))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sublists__powset,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_Osublists(T_b,V_xs_2))) = hAPP(c_Set_OPow(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__sublists,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sublists_Osimps_I1_J,axiom, % 199.35/199.81 ! [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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sublists_Osimps_I2_J,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : c_Enum_Osublists(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_Enum_Osublists(T_b,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_b)),tc_fun(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(tc_List_Olist(T_b))),c_List_Oappend(tc_List_Olist(T_b))),hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_b))))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__set__sublists,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.81 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),c_List_Oset(T_b)),c_Enum_Osublists(T_b,V_xs_2)))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__n__lists,axiom, % 199.35/199.81 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),hAPP(c_List_Oset(T_b),V_xs_2)))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_enum__the__def,axiom, % 199.35/199.81 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__n__lists,axiom, % 199.35/199.81 ! [V_n,V_xs,T_a] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.35/199.81 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_n__lists__Nil,axiom, % 199.35/199.81 ! [T_a,V_n] : % 199.35/199.81 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.81 => 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))) ) % 199.35/199.81 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.81 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_n__lists_Osimps_I1_J,axiom, % 199.35/199.81 ! [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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__n__lists,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__n__lists__elem,axiom, % 199.35/199.81 ! [V_xs_2,V_n_2,V_ys_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2)))) % 199.35/199.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2I,axiom, % 199.35/199.81 ! [V_Pa_2,V_ba_2,V_a_2,T_c,T_b] : % 199.35/199.81 ( ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_a_2),V_ba_2)))) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) % 199.35/199.81 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ba_2) % 199.35/199.81 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_ba_2) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_all__nth__imp__all__set,axiom, % 199.35/199.81 ! [V_x_2,V_Pa_2,V_xs_2,T_b] : % 199.35/199.81 ( ! [B_i] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.81 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_fun__left__comm_Ofold__set__remdups,axiom, % 199.35/199.81 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 199.35/199.81 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),c_List_Oremdups(T_b,V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__removeAll__inj__on,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__remdups,axiom, % 199.35/199.81 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__remdups__leq,axiom, % 199.35/199.81 ! [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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_remdups__id__iff__distinct,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2 % 199.35/199.81 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__removeAll,axiom, % 199.35/199.81 ! [V_x,V_xs,T_a] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.35/199.81 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__remdups__id,axiom, % 199.35/199.81 ! [V_xs,T_a] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.35/199.81 => c_List_Oremdups(T_a,V_xs) = V_xs ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__remdups,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__remdups__eq,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 199.35/199.81 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_remdups__remdups,axiom, % 199.35/199.81 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ). % 199.35/199.81 % 199.35/199.81 fof(fact_remdups_Osimps_I1_J,axiom, % 199.35/199.81 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 199.35/199.81 % 199.35/199.81 fof(fact_remdups__eq__nil__right__iff,axiom, % 199.35/199.81 ! [V_x_2,T_b] : % 199.35/199.81 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2) % 199.35/199.81 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_removeAll_Osimps_I1_J,axiom, % 199.35/199.81 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 199.35/199.81 % 199.35/199.81 fof(fact_remdups__eq__nil__iff,axiom, % 199.35/199.81 ! [V_x_2,T_b] : % 199.35/199.81 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b) % 199.35/199.81 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_removeAll_Osimps_I2_J,axiom, % 199.35/199.81 ! [V_xs,T_a,V_y,V_x] : % 199.35/199.81 ( ( V_x = V_y % 199.35/199.81 => 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) ) % 199.35/199.81 & ( V_x != V_y % 199.35/199.81 => 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)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_removeAll__append,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_remdups__map__remdups,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremdups(T_c,V_xs_2))) = c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_remove1__remdups,axiom, % 199.35/199.81 ! [V_x,V_xs,T_a] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.35/199.81 => 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)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_removeAll__id,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__remove1__removeAll,axiom, % 199.35/199.81 ! [V_x,V_xs,T_a] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.35/199.81 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_remdups_Osimps_I2_J,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Oremdups(T_b,V_xs_2) ) % 199.35/199.81 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oremdups(T_b,V_xs_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__remdups__card__conv,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__removeAll__inj,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.35/199.81 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__removeAll,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__remdups__concat,axiom, % 199.35/199.81 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,c_List_Oconcat(T_b,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)),c_List_Oset(T_b))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__list__of__set__sort__remdups,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),c_List_Oremdups(T_b,V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sort__key__simps_I1_J,axiom, % 199.35/199.81 ! [V_f_2,T_b,T_c] : % 199.35/199.81 ( class_Orderings_Olinorder(T_c) % 199.35/199.81 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldl__conv__concat,axiom, % 199.35/199.81 ! [V_xss_2,V_xs_2,T_b] : hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oconcat(T_b,V_xss_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_concat__conv__foldl,axiom, % 199.35/199.81 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),c_List_Olist_ONil(T_b)),V_xss_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__sort,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_b,T_c] : % 199.35/199.81 ( class_Orderings_Olinorder(T_c) % 199.35/199.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__sort,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_b,T_c] : % 199.35/199.81 ( class_Orderings_Olinorder(T_c) % 199.35/199.81 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__sort,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_b,T_c] : % 199.35/199.81 ( class_Orderings_Olinorder(T_c) % 199.35/199.81 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2))) % 199.35/199.81 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_concat_Osimps_I1_J,axiom, % 199.35/199.81 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ). % 199.35/199.81 % 199.35/199.81 fof(fact_concat_Osimps_I2_J,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_Nil__eq__concat__conv,axiom, % 199.35/199.81 ! [V_xss_2,T_b] : % 199.35/199.81 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2) % 199.35/199.81 <=> ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 199.35/199.81 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_concat__eq__Nil__conv,axiom, % 199.35/199.81 ! [V_xss_2,T_b] : % 199.35/199.81 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b) % 199.35/199.81 <=> ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 199.35/199.81 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__concat,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oconcat(T_c,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__concat,axiom, % 199.35/199.81 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oconcat(T_b,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xss_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__concat,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oconcat(T_b,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)),c_List_Oset(T_b)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sort__key__simps_I2_J,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 199.35/199.81 ( class_Orderings_Olinorder(T_c) % 199.35/199.81 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_concat__append,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sort__foldl__insort,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))),c_List_Olist_ONil(T_b)),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_concat__eq__concat__iff,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)))) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) ) % 199.35/199.81 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2) % 199.35/199.81 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 199.35/199.81 <=> V_xs_2 = V_ys_2 ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_concat__injective,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 199.35/199.81 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2) % 199.35/199.81 => ( ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)))) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) ) % 199.35/199.81 => V_xs_2 = V_ys_2 ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_concat__map__singleton,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_c),c_List_Olist_OCons(T_b)),V_f_2)),c_List_Olist_ONil(T_b))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_n__lists_Osimps_I2_J,axiom, % 199.35/199.81 ! [V_xs_2,V_n_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_List_Omap(T_b,tc_List_Olist(T_b))),hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),V_xs_2)),c_Enum_On__lists(T_b,V_n_2,V_xs_2))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transpose_Osimps_I3_J,axiom, % 199.35/199.81 ! [V_xss_2,V_xs_2,V_x_2,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transpose__aux__filter__head,axiom, % 199.35/199.81 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),c_List_Ohd(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_filter__concat,axiom, % 199.35/199.81 ! [V_xs_2,V_p_2,T_b] : hAPP(c_List_Ofilter(T_b,V_p_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Ofilter(T_b,V_p_2)),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_filter__sort,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] : % 199.35/199.81 ( class_Orderings_Olinorder(T_c) % 199.35/199.81 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__filter,axiom, % 199.35/199.81 ! [V_Pa_2,V_xs_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.81 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_filter__is__subset,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_filter__id__conv,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : % 199.35/199.81 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2 % 199.35/199.81 <=> ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__filter__le,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sum__length__filter__compl,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_partition__filter1,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_filter__filter,axiom, % 199.35/199.81 ! [V_xs_2,V_Q_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Q_2)),V_Pa_2)),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_remove1__filter__not,axiom, % 199.35/199.81 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 199.35/199.81 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.81 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_filter__remove1,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,V_Q_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Q_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_filter__insort__triv,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] : % 199.35/199.81 ( class_Orderings_Olinorder(T_c) % 199.35/199.81 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.81 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_filter__map,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transpose_Osimps_I1_J,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_filter_Osimps_I1_J,axiom, % 199.35/199.81 ! [V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 199.35/199.81 % 199.35/199.81 fof(fact_filter_Osimps_I2_J,axiom, % 199.35/199.81 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 199.35/199.81 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.81 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) % 199.35/199.81 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.81 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_filter__append,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_filter__empty__conv,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : % 199.35/199.81 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b) % 199.35/199.81 <=> ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_removeAll__filter__not__eq,axiom, % 199.35/199.81 ! [V_x_2,T_b] : c_List_OremoveAll(T_b,V_x_2) = c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(c_fequal,V_x_2))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_removeAll__filter__not,axiom, % 199.35/199.81 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 199.35/199.81 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.81 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_remdups__filter,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oremdups(T_b,V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_partition__filter2,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_Pa_2)),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transpose_Osimps_I2_J,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_nth__transpose,axiom, % 199.35/199.81 ! [V_xs_2,T_b,V_i_2] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) % 199.35/199.81 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transpose__map__map,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),c_List_Otranspose(T_c,V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__filter,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_Pa_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__filter__map,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__filter__less,axiom, % 199.35/199.81 ! [V_Pa_2,V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_partition__filter__conv,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_b] : c_List_Opartition(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_f_2)),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__minus__filter__out,axiom, % 199.35/199.81 ! [V_y_2,V_xs_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_filter__in__sublist,axiom, % 199.35/199.81 ! [V_s_2,V_xs_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.81 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_b,V_xs_2,V_s_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transpose__empty,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b)) % 199.35/199.81 <=> ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.81 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__filter__conv__card,axiom, % 199.35/199.81 ! [V_xs_2,V_p_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_p_2),V_xs_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_b),V_xs_2))))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transpose__aux__filter__tail,axiom, % 199.35/199.81 ! [V_xss_2,T_b] : c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otl(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transpose_Opsimps_I3_J,axiom, % 199.35/199.81 ! [V_xss_2,V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2))) % 199.35/199.81 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transpose_Opsimps_I2_J,axiom, % 199.35/199.81 ! [V_xss_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2))) % 199.35/199.81 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)) = c_List_Otranspose(T_b,V_xss_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sublist__shift__lemma__Suc,axiom, % 199.35/199.81 ! [V_is_2,V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_select__weigth__drop__zero,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_pick__drop__zero,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : c_Random_Opick(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Opick(T_b,V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transpose_Opsimps_I1_J,axiom, % 199.35/199.81 ! [T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),c_List_Olist_ONil(tc_List_Olist(T_b)))) % 199.35/199.81 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transpose__max__length,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transpose__aux__max,axiom, % 199.35/199.81 ! [V_xss_2,T_c,V_xs_2,T_b] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xss_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_c)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_c)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldr_Osimps_I1_J,axiom, % 199.35/199.81 ! [V_a_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c),V_a_2) = V_a_2 ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldr_Osimps_I2_J,axiom, % 199.35/199.81 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldr__append,axiom, % 199.35/199.81 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,c_List_Ofoldr(T_c,T_b,V_f_2,V_ys_2,V_a_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldr__conv__foldl,axiom, % 199.35/199.81 ! [V_a_2,V_xs_2,T_b] : % 199.35/199.81 ( class_Groups_Oab__semigroup__add(T_b) % 199.35/199.81 => c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldr__map,axiom, % 199.35/199.81 ! [V_a_2,V_xs_2,V_f_2,T_d,V_g_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_g_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_d,T_b,hAPP(c_Fun_Ocomp(T_c,tc_fun(T_b,T_b),T_d,V_g_2),V_f_2),V_xs_2,V_a_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldl__foldr1__lemma,axiom, % 199.35/199.81 ! [V_xs_2,V_a_2,T_b] : % 199.35/199.81 ( class_Groups_Omonoid__add(T_b) % 199.35/199.81 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldl__foldr1,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( class_Groups_Omonoid__add(T_b) % 199.35/199.81 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_xs_2) = c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__transpose,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sublist__def,axiom, % 199.35/199.81 ! [V_A_2,V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sublist__shift__lemma,axiom, % 199.35/199.81 ! [V_i_2,V_xs_2,V_A_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(V_i_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(T_b,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_atLeastLessThan__upt,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__upt,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_upt__Suc__append,axiom, % 199.35/199.81 ! [V_j,V_i] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.35/199.81 => 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_upt__Suc,axiom, % 199.35/199.81 ! [V_j,V_i] : % 199.35/199.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.35/199.81 => 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))) ) % 199.35/199.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.35/199.81 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_upt__add__eq__append,axiom, % 199.35/199.81 ! [V_k,V_j,V_i] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.35/199.81 => 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_upt__rec,axiom, % 199.35/199.81 ! [V_j,V_i] : % 199.35/199.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.35/199.81 => 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)) ) % 199.35/199.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.35/199.81 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_upt__conv__Cons,axiom, % 199.35/199.81 ! [V_j,V_i] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.35/199.81 => 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)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_upt__conv__Nil,axiom, % 199.35/199.81 ! [V_i,V_j] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 199.35/199.81 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_upt__eq__Nil__conv,axiom, % 199.35/199.81 ! [V_j_2,V_i_2] : % 199.35/199.81 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat) % 199.35/199.81 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.35/199.81 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_upt__0,axiom, % 199.35/199.81 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ). % 199.35/199.81 % 199.35/199.81 fof(fact_take__upt,axiom, % 199.35/199.81 ! [V_n,V_m,V_i] : % 199.35/199.81 ( 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)) % 199.35/199.81 => 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)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__list__of__set__range,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_hd__upt,axiom, % 199.35/199.81 ! [V_j,V_i] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.35/199.81 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_drop__upt,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__upt,axiom, % 199.35/199.81 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__upt,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_upt__rec__number__of,axiom, % 199.35/199.81 ! [V_n,V_m] : % 199.35/199.81 ( ( 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))) % 199.35/199.81 => 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))) ) % 199.35/199.81 & ( ~ 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))) % 199.35/199.81 => 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) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_upt__eq__Cons__conv,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,V_j_2,V_i_2] : % 199.35/199.81 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2) % 199.35/199.81 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2)) % 199.35/199.81 & V_i_2 = V_x_2 % 199.35/199.81 & 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 ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_last__upt,axiom, % 199.35/199.81 ! [V_j,V_i] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 199.35/199.81 => 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)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__Suc__upt,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_atLeastAtMost__upt,axiom, % 199.35/199.81 ! [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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_atLeast__upt,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_nth__upt,axiom, % 199.35/199.81 ! [V_j,V_k,V_i] : % 199.35/199.81 ( 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)) % 199.35/199.81 => 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) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_greaterThanAtMost__upt,axiom, % 199.35/199.81 ! [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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_greaterThanLessThan__upt,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_atMost__upto,axiom, % 199.35/199.81 ! [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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__nth,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) = V_xs_2 ). % 199.35/199.81 % 199.35/199.81 fof(fact_interv__listsum__conv__setsum__set__nat,axiom, % 199.35/199.81 ! [V_n_2,V_m_2,V_f_2,T_b] : % 199.35/199.81 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_setsum__set__upt__conv__listsum__nat,axiom, % 199.35/199.81 ! [V_n_2,V_m_2,V_f_2,T_b] : % 199.35/199.81 ( class_Groups_Ocomm__monoid__add(T_b) % 199.35/199.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_nth__map__upt,axiom, % 199.35/199.81 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] : % 199.35/199.81 ( 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))) % 199.35/199.81 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transpose__rectangle,axiom, % 199.35/199.81 ! [V_n_2,T_b,V_xs_2] : % 199.35/199.81 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 199.35/199.81 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.35/199.81 => ( ! [B_i] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2))) % 199.35/199.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),B_i)) = V_n_2 ) % 199.35/199.81 => c_List_Otranspose(T_b,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_b)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_Nat_Onat,T_b),tc_Nat_Onat),c_List_Onth(T_b)),hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_insort__key__remove1,axiom, % 199.35/199.81 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] : % 199.35/199.81 ( class_Orderings_Olinorder(T_c) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 199.35/199.81 => ( hAPP(c_List_Ohd(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2 % 199.35/199.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted_ONil,axiom, % 199.35/199.81 ! [T_a] : % 199.35/199.81 ( class_Orderings_Olinorder(T_a) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__single,axiom, % 199.35/199.81 ! [V_x,T_a] : % 199.35/199.81 ( class_Orderings_Olinorder(T_a) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__upt,axiom, % 199.35/199.81 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__sort,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__insort__insert,axiom, % 199.35/199.81 ! [V_x_2,V_xs_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__drop,axiom, % 199.35/199.81 ! [V_n,V_xs,T_a] : % 199.35/199.81 ( class_Orderings_Olinorder(T_a) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__upto,axiom, % 199.35/199.81 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__take,axiom, % 199.35/199.81 ! [V_n,V_xs,T_a] : % 199.35/199.81 ( class_Orderings_Olinorder(T_a) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__remove1,axiom, % 199.35/199.81 ! [V_a,V_xs,T_a] : % 199.35/199.81 ( class_Orderings_Olinorder(T_a) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__tl,axiom, % 199.35/199.81 ! [V_xs,T_a] : % 199.35/199.81 ( class_Orderings_Olinorder(T_a) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__insort,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) % 199.35/199.81 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__butlast,axiom, % 199.35/199.81 ! [V_xs,T_a] : % 199.35/199.81 ( class_Orderings_Olinorder(T_a) % 199.35/199.81 => ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted_Oequations_I1_J,axiom, % 199.35/199.81 ! [T_a] : % 199.35/199.81 ( class_Orderings_Olinorder(T_a) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__many,axiom, % 199.35/199.81 ! [V_zs,V_y,V_x,T_a] : % 199.35/199.81 ( class_Orderings_Olinorder(T_a) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs)) % 199.35/199.81 => 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))) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__many__eq,axiom, % 199.35/199.81 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2))) % 199.35/199.81 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 199.35/199.81 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__remdups,axiom, % 199.35/199.81 ! [V_l,T_a] : % 199.35/199.81 ( class_Orderings_Olinorder(T_a) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_a,V_l) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__distinct__set__unique,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.35/199.81 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 199.35/199.81 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 199.35/199.81 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 199.35/199.81 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__sort__key,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Osort__key(T_c,T_b,V_f_2,V_xs_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__insort__insert__key,axiom, % 199.35/199.81 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__map__remove1,axiom, % 199.35/199.81 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremove1(T_c,V_x_2,V_xs_2))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__insort__key,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2))) % 199.35/199.81 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__map__same,axiom, % 199.35/199.81 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_c),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__filter,axiom, % 199.35/199.81 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__same,axiom, % 199.35/199.81 ! [V_xs_2,V_g_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__Cons,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 199.35/199.81 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.35/199.81 & ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__append,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 199.35/199.81 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.35/199.81 & c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 199.35/199.81 & ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => ! [B_xa] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2))) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_filter__insort,axiom, % 199.35/199.81 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 199.35/199.81 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.81 => hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted_Oequations_I2_J,axiom, % 199.35/199.81 ! [V_a1_2,V_a2_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2)) % 199.35/199.81 <=> ( ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2))) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) ) % 199.35/199.81 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__list__of__set,axiom, % 199.35/199.81 ! [V_A_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.81 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2 % 199.35/199.81 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) % 199.35/199.81 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_insort__remove1,axiom, % 199.35/199.81 ! [V_xs_2,V_a_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.35/199.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__equals__nth__mono,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.35/199.81 <=> ! [B_j] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.81 => ! [B_i] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j))) ) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__nth__mono,axiom, % 199.35/199.81 ! [V_j,V_i,V_xs,T_a] : % 199.35/199.81 ( class_Orderings_Olinorder(T_a) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.35/199.81 => ( 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))) % 199.35/199.81 => 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))) ) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_map__sorted__distinct__set__unique,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 199.35/199.81 ( class_Orderings_Olinorder(T_c) % 199.35/199.81 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2))) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 199.35/199.81 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)) % 199.35/199.81 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))) % 199.35/199.81 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 199.35/199.81 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transpose__column,axiom, % 199.35/199.81 ! [V_i_2,V_xs_2,T_b] : % 199.35/199.81 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2))) % 199.35/199.81 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_nth__nth__transpose__sorted,axiom, % 199.35/199.81 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 199.35/199.81 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)))) % 199.35/199.81 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_j_2)),V_i_2) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_inj__on__rev,axiom, % 199.35/199.81 ! [V_A_2,T_b] : c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orev(T_b),V_A_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__rev,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2))) % 199.35/199.81 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev_Osimps_I1_J,axiom, % 199.35/199.81 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 199.35/199.81 % 199.35/199.81 fof(fact_Nil__is__rev__conv,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2) % 199.35/199.81 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev__is__Nil__conv,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 199.35/199.81 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev__singleton__conv,axiom, % 199.35/199.81 ! [V_x_2,V_xs_2,T_b] : % 199.35/199.81 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) % 199.35/199.81 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_singleton__rev__conv,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(c_List_Orev(T_b),V_xs_2) % 199.35/199.81 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev__append,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev__concat,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Orev(T_b)),hAPP(c_List_Orev(tc_List_Olist(T_b)),V_xs_2))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev__map,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev__filter,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Orev(T_b),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_zip__rev,axiom, % 199.35/199.81 ! [V_ys,T_b,V_xs,T_a] : % 199.35/199.81 ( 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) % 199.35/199.81 => 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)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__rev,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__rev1,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2) % 199.35/199.81 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_list__all2__rev,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 199.35/199.81 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2)) % 199.35/199.81 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev__is__rev__conv,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2) % 199.35/199.81 <=> V_xs_2 = V_ys_2 ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev__swap,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,T_b] : % 199.35/199.81 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2 % 199.35/199.81 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev__rev__ident,axiom, % 199.35/199.81 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsum__rev,axiom, % 199.35/199.81 ! [V_xs,T_a] : % 199.35/199.81 ( class_Groups_Ocomm__monoid__add(T_a) % 199.35/199.81 => 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) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__rev,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldr__foldl,axiom, % 199.35/199.81 ! [V_a_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),V_f_2),V_a_2),hAPP(c_List_Orev(T_c),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldl__foldr,axiom, % 199.35/199.81 ! [V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2),V_a_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev_Osimps_I2_J,axiom, % 199.35/199.81 ! [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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev__eq__Cons__iff,axiom, % 199.35/199.81 ! [V_ys_2,V_y_2,V_xs_2,T_b] : % 199.35/199.81 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 199.35/199.81 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Orev(T_b),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_last__rev,axiom, % 199.35/199.81 ! [T_a,V_xs] : % 199.35/199.81 ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.81 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_hd__rev,axiom, % 199.35/199.81 ! [T_a,V_xs] : % 199.35/199.81 ( V_xs != c_List_Olist_ONil(T_a) % 199.35/199.81 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__transpose,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev__foldl__cons,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev__drop,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev__take,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rotate__rev,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev__nth,axiom, % 199.35/199.81 ! [V_xs,T_a,V_n] : % 199.35/199.81 ( 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))) % 199.35/199.81 => 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))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_rev__update,axiom, % 199.35/199.81 ! [V_y,V_xs,T_a,V_k] : % 199.35/199.81 ( 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))) % 199.35/199.81 => 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) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__rev__nth__mono,axiom, % 199.35/199.81 ! [V_j,V_i,V_xs,T_a] : % 199.35/199.81 ( class_Orderings_Olinorder(T_a) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs)) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 199.35/199.81 => ( 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))) % 199.35/199.81 => 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))) ) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_foldr__max__sorted,axiom, % 199.35/199.81 ! [V_y_2,V_xs_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2)) % 199.35/199.81 => ( ( V_xs_2 = c_List_Olist_ONil(T_b) % 199.35/199.81 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 ) % 199.35/199.81 & ( V_xs_2 != c_List_Olist_ONil(T_b) % 199.35/199.81 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__transpose__sorted,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 199.35/199.81 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 199.35/199.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 199.35/199.81 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b)) % 199.35/199.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transpose__column__length,axiom, % 199.35/199.81 ! [V_i_2,V_xs_2,T_b] : % 199.35/199.81 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2))) % 199.35/199.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transpose__transpose,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 199.35/199.81 => c_List_Otranspose(T_b,c_List_Otranspose(T_b,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b))),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transfer__nat__int__list__functions_I2_J,axiom, % 199.35/199.81 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__takeWhile,axiom, % 199.35/199.81 ! [V_Pa_2,V_xs_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__takeWhile__le,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_takeWhile__eq__all__conv,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : % 199.35/199.81 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2 % 199.35/199.81 <=> ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_set__takeWhileD,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,V_x_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_zip__takeWhile__snd,axiom, % 199.35/199.81 ! [V_ys_2,V_Pa_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_Pa_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_zip__takeWhile__fst,axiom, % 199.35/199.81 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_takeWhile__map,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_takeWhile__tail,axiom, % 199.35/199.81 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] : % 199.35/199.81 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.81 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_takeWhile_Osimps_I2_J,axiom, % 199.35/199.81 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 199.35/199.81 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.81 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) % 199.35/199.81 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.81 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_takeWhile_Osimps_I1_J,axiom, % 199.35/199.81 ! [V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 199.35/199.81 % 199.35/199.81 fof(fact_takeWhile__eq__take,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__takeWhile,axiom, % 199.35/199.81 ! [V_Pa_2,V_xs_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.81 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_return__list__def,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_takeWhile__append1,axiom, % 199.35/199.81 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.81 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_takeWhile__nth,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) % 199.35/199.81 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_nth__length__takeWhile,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.81 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_takeWhile__not__last,axiom, % 199.35/199.81 ! [T_b,V_xs_2] : % 199.35/199.81 ( V_xs_2 != c_List_Olist_ONil(T_b) % 199.35/199.81 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.81 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),c_List_Olast(T_b,V_xs_2))),V_xs_2) = c_List_Obutlast(T_b,V_xs_2) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_filter__equals__takeWhile__sorted__rev,axiom, % 199.35/199.81 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 199.35/199.81 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2),V_xs_2) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transfer__nat__int__list__return__embed,axiom, % 199.35/199.81 ! [V_l] : % 199.35/199.81 ( c_List_Onat__list(V_l) % 199.35/199.81 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_transfer__nat__int__list__functions_I1_J,axiom, % 199.35/199.81 ! [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))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_embed__list__def,axiom, % 199.35/199.81 ! [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) ). % 199.35/199.81 % 199.35/199.81 fof(fact_takeWhile__neq__rev,axiom, % 199.35/199.81 ! [V_x_2,V_xs_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Orev(T_b),hAPP(c_List_Otl(T_b),c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_dropWhile__neq__rev,axiom, % 199.35/199.81 ! [V_x_2,V_xs_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Orev(T_b),c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_takeWhile__dropWhile__id,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) = V_xs_2 ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__dropWhile,axiom, % 199.35/199.81 ! [V_Pa_2,V_xs_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__dropWhile__le,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_dropWhile__eq__Nil__conv,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : % 199.35/199.81 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b) % 199.35/199.81 <=> ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_dropWhile_Osimps_I2_J,axiom, % 199.35/199.81 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 199.35/199.81 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.81 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) ) % 199.35/199.81 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.81 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_dropWhile_Osimps_I1_J,axiom, % 199.35/199.81 ! [V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__dropWhile,axiom, % 199.35/199.81 ! [V_Pa_2,V_xs_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 199.35/199.81 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_hd__dropWhile,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : % 199.35/199.81 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b) % 199.35/199.81 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_dropWhile__map,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_dropWhile__append1,axiom, % 199.35/199.81 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.81 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_dropWhile__eq__Cons__conv,axiom, % 199.35/199.81 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] : % 199.35/199.81 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 199.35/199.81 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) % 199.35/199.81 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_dropWhile__eq__drop,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_dropWhile__nth,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) % 199.35/199.81 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_listsum__map__filter,axiom, % 199.35/199.81 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] : % 199.35/199.81 ( class_Groups_Omonoid__add(T_c) % 199.35/199.81 => ( ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => ( ~ hBOOL(hAPP(V_Pa_2,B_x)) % 199.35/199.81 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) % 199.35/199.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted__nth__monoI,axiom, % 199.35/199.81 ! [V_xs,T_a] : % 199.35/199.81 ( class_Orderings_Olinorder(T_a) % 199.35/199.81 => ( ! [B_i,B_j] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 199.35/199.81 => ( 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))) % 199.35/199.81 => 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))) ) ) % 199.35/199.81 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_takeWhile__eq__filter,axiom, % 199.35/199.81 ! [V_xs_2,V_Pa_2,T_b] : % 199.35/199.81 ( ! [B_x] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) % 199.35/199.81 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.35/199.81 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_takeWhile__eq__take__P__nth,axiom, % 199.35/199.81 ! [V_Pa_2,V_xs_2,T_b,V_n_2] : % 199.35/199.81 ( ! [B_i] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.81 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) % 199.35/199.81 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.81 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) % 199.35/199.81 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_length__takeWhile__less__P__nth,axiom, % 199.35/199.81 ! [V_xs_2,T_b,V_Pa_2,V_j_2] : % 199.35/199.81 ( ! [B_i] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2)) % 199.35/199.81 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_sorted_Osimps,axiom, % 199.35/199.81 ! [V_a_2,T_b] : % 199.35/199.81 ( class_Orderings_Olinorder(T_b) % 199.35/199.81 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2) % 199.35/199.81 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 199.35/199.81 | ? [B_xs,B_x] : % 199.35/199.81 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 199.35/199.81 & ! [B_xa] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs))) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) % 199.35/199.81 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_not__in__set__insert,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_List_Oinsert__def,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) % 199.35/199.81 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_insert__remdups,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__insert,axiom, % 199.35/199.81 ! [V_x,V_xs,T_a] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 199.35/199.81 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_in__set__insert,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.81 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_List_Oset__insert,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oinsert(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_insert__Nil,axiom, % 199.35/199.81 ! [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)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_concat__map__maps,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) = c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) ). % 199.35/199.81 % 199.35/199.81 fof(fact_maps__def,axiom, % 199.35/199.81 ! [V_xs_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_maps__simps_I2_J,axiom, % 199.35/199.81 ! [V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ). % 199.35/199.81 % 199.35/199.81 fof(fact_maps__simps_I1_J,axiom, % 199.35/199.81 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_c,T_b,V_f_2,V_xs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_distinct__concat,axiom, % 199.35/199.81 ! [V_xs_2,T_b] : % 199.35/199.81 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2)) % 199.35/199.81 => ( ! [B_ys] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.81 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) ) % 199.35/199.81 => ( ! [B_ys] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.81 => ! [B_zs] : % 199.35/199.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 199.35/199.81 => ( B_ys != B_zs % 199.35/199.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),B_ys)),hAPP(c_List_Oset(T_b),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) % 199.35/199.81 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_measures__lesseq,axiom, % 199.35/199.81 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 199.35/199.81 ( 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))) % 199.35/199.81 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) % 199.35/199.81 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ). % 199.35/199.81 % 199.35/199.81 fof(fact_wf__measures,axiom, % 199.35/199.81 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ). % 199.35/199.81 % 199.35/199.81 fof(fact_in__measures_I1_J,axiom, % 199.35/199.81 ! [V_y_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_Nat_Onat))))) ). % 199.35/199.81 % 199.35/199.81 fof(fact_measures__def,axiom, % 199.35/199.81 ! [V_fs_2,T_b] : c_List_Omeasures(T_b,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_b),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_b),c_List_Omap(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_b,tc_Nat_Onat),T_b,tc_Nat_Onat),c_COMBI(tc_fun(T_b,tc_Nat_Onat))))),V_fs_2)) ). % 199.35/199.82 % 199.35/199.82 fof(fact_measures__less,axiom, % 199.35/199.82 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 199.35/199.82 ( 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))) % 199.35/199.82 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ). % 199.35/199.82 % 199.35/199.82 fof(fact_in__measures_I2_J,axiom, % 199.35/199.82 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] : % 199.35/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) % 199.35/199.82 <=> ( 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))) % 199.35/199.82 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 199.35/199.82 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) ) ) ) ). % 199.35/199.82 % 199.35/199.82 fof(fact_foldl__apply,axiom, % 199.35/199.82 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] : % 199.35/199.82 ( ! [B_x] : % 199.35/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.82 => hAPP(c_Fun_Ocomp(T_d,T_d,T_c,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_c,T_d,T_c,V_h_2),hAPP(V_g_2,B_x)) ) % 199.35/199.82 => hAPP(c_List_Ofoldl(T_d,T_b,hAPP(c_COMBC(T_b,T_d,T_d),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_g_2),V_s_2),V_xs_2)) ) ). % 199.35/199.82 % 199.35/199.82 fof(fact_order__fun_I2_J,axiom, % 199.35/199.82 ! [V_g_2,V_f_2,T_b,T_c] : % 199.35/199.82 ( ( class_Orderings_Oorder(T_c) % 199.35/199.82 & class_Enum_Oenum(T_b) ) % 199.35/199.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 199.35/199.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 199.35/199.82 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_g_2)))) ) ) ) ). % 199.35/199.82 % 199.35/199.82 fof(fact_enum__ex__prod__def,axiom, % 199.35/199.82 ! [V_Pa_2,T_b,T_c] : % 199.35/199.82 ( ( class_Enum_Oenum(T_c) % 199.35/199.82 & class_Enum_Oenum(T_b) ) % 199.35/199.82 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2)) % 199.35/199.82 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__ex(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ). % 199.35/199.82 % 199.35/199.82 fof(fact_exists__code,axiom, % 199.35/199.82 ! [V_Pa_2,T_b] : % 199.35/199.82 ( class_Enum_Oenum(T_b) % 199.35/199.82 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 199.35/199.82 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ). % 199.35/199.82 % 199.35/199.82 fof(fact_enum__ex,axiom, % 199.35/199.82 ! [V_Pa_2,T_b] : % 199.35/199.82 ( class_Enum_Oenum(T_b) % 199.35/199.82 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) % 199.35/199.82 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 199.35/199.82 % 199.35/199.82 fof(fact_zip__obtain__same__length,axiom, % 199.35/199.82 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] : % 199.35/199.82 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)) % 199.35/199.82 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)))) ) % 199.35/199.82 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ). % 199.35/199.82 % 199.35/199.82 fof(fact_pos__not__random__dseq__def,axiom, % 199.35/199.82 ! [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)) ). % 199.35/199.82 % 199.35/199.82 fof(fact_dropWhile__append2,axiom, % 199.35/199.82 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] : % 199.35/199.82 ( ! [B_x] : % 199.35/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.82 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.35/199.82 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_ys_2) ) ). % 199.35/199.82 % 199.35/199.82 fof(fact_list__all2__all__nthI,axiom, % 199.35/199.82 ! [V_Pa_2,V_ba_2,T_c,V_a_2,T_b] : % 199.35/199.82 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ba_2) % 199.35/199.82 => ( ! [B_n] : % 199.35/199.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2))) % 199.35/199.82 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_ba_2),B_n))) ) % 199.35/199.82 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_ba_2) ) ) ). % 199.35/199.82 % 199.35/199.82 fof(fact_finite__sorted__distinct__unique,axiom, % 199.35/199.82 ! [V_A_2,T_b] : % 199.35/199.82 ( class_Orderings_Olinorder(T_b) % 199.35/199.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.35/199.82 => ? [B_x] : % 199.35/199.82 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2 % 199.35/199.82 & c_List_Olinorder__class_Osorted(T_b,B_x) % 199.35/199.82 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x)) % 199.35/199.82 & ! [B_y] : % 199.35/199.82 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2 % 199.35/199.82 & c_List_Olinorder__class_Osorted(T_b,B_y) % 199.35/199.82 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) ) % 199.35/199.82 => B_y = B_x ) ) ) ) ). % 199.35/199.82 % 199.35/199.82 fof(fact_takeWhile__append2,axiom, % 199.35/199.82 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] : % 199.35/199.82 ( ! [B_x] : % 199.35/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.82 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.35/199.82 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_OtakeWhile(T_b,V_Pa_2,V_ys_2)) ) ). % 199.35/199.82 % 199.35/199.82 fof(fact_insort__is__Cons,axiom, % 199.35/199.82 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] : % 199.35/199.82 ( class_Orderings_Olinorder(T_c) % 199.35/199.82 => ( ! [B_x] : % 199.35/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.35/199.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) ) % 199.35/199.82 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_xs_2) ) ) ). % 199.35/199.82 % 199.35/199.82 fof(fact_filter__eq__Cons__iff,axiom, % 199.35/199.82 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] : % 199.35/199.82 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) % 199.35/199.82 <=> ? [B_us,B_vs] : % 199.35/199.82 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs)) % 199.35/199.82 & ! [B_x] : % 199.35/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 199.35/199.82 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.35/199.82 & hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.82 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ). % 199.35/199.82 % 199.35/199.82 fof(fact_Cons__eq__filter__iff,axiom, % 199.35/199.82 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 199.35/199.82 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2) % 199.35/199.82 <=> ? [B_us,B_vs] : % 199.35/199.82 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs)) % 199.35/199.82 & ! [B_x] : % 199.35/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 199.35/199.82 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.35/199.82 & hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.35/199.82 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_order__fun_I1_J,axiom, % 199.45/199.82 ! [V_g_2,V_f_2,T_b,T_c] : % 199.45/199.82 ( ( class_Orderings_Oorder(T_c) % 199.45/199.82 & class_Enum_Oenum(T_b) ) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 199.45/199.82 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Oord__class_Oless__eq(T_c)),V_f_2)),V_g_2))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_enum__all,axiom, % 199.45/199.82 ! [V_Pa_2,T_b] : % 199.45/199.82 ( class_Enum_Oenum(T_b) % 199.45/199.82 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) % 199.45/199.82 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_all__code,axiom, % 199.45/199.82 ! [V_Pa_2,T_b] : % 199.45/199.82 ( class_Enum_Oenum(T_b) % 199.45/199.82 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 199.45/199.82 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_enum__all__prod__def,axiom, % 199.45/199.82 ! [V_Pa_2,T_b,T_c] : % 199.45/199.82 ( ( class_Enum_Oenum(T_c) % 199.45/199.82 & class_Enum_Oenum(T_b) ) % 199.45/199.82 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2)) % 199.45/199.82 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__all(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__ball__nth,axiom, % 199.45/199.82 ! [V_Pa_2,V_xs_2,T_b,V_n_2] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.45/199.82 => ( ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.45/199.82 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.45/199.82 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_sorted_OCons,axiom, % 199.45/199.82 ! [V_x_2,V_xs_2,T_b] : % 199.45/199.82 ( class_Orderings_Olinorder(T_b) % 199.45/199.82 => ( ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) % 199.45/199.82 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 199.45/199.82 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__ex__length,axiom, % 199.45/199.82 ! [V_xs_2,V_Pa_2,T_b] : % 199.45/199.82 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 199.45/199.82 <=> ? [B_n] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.45/199.82 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_in__set__conv__decomp__first,axiom, % 199.45/199.82 ! [V_xs_2,V_x_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.45/199.82 <=> ? [B_ys] : % 199.45/199.82 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) % 199.45/199.82 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__ex__simps_I2_J,axiom, % 199.45/199.82 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__ex__append,axiom, % 199.45/199.82 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : % 199.45/199.82 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 199.45/199.82 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 199.45/199.82 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__ex__iff,axiom, % 199.45/199.82 ! [V_xs_2,V_Pa_2,T_b] : % 199.45/199.82 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 199.45/199.82 <=> ? [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.45/199.82 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__ex__rev,axiom, % 199.45/199.82 ! [V_xs_2,V_Pa_2,T_b] : % 199.45/199.82 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 199.45/199.82 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__ex__simps_I1_J,axiom, % 199.45/199.82 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 199.45/199.82 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 199.45/199.82 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.45/199.82 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_in__set__conv__decomp,axiom, % 199.45/199.82 ! [V_xs_2,V_x_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.45/199.82 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_in__set__conv__decomp__last,axiom, % 199.45/199.82 ! [V_xs_2,V_x_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.45/199.82 <=> ? [B_ys,B_zs] : % 199.45/199.82 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) % 199.45/199.82 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__all__length,axiom, % 199.45/199.82 ! [V_xs_2,V_Pa_2,T_b] : % 199.45/199.82 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 199.45/199.82 <=> ! [B_n] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 199.45/199.82 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_transfer__morphism__int__nat,axiom, % 199.45/199.82 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)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__all__simps_I2_J,axiom, % 199.45/199.82 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__all__append,axiom, % 199.45/199.82 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : % 199.45/199.82 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 199.45/199.82 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 199.45/199.82 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__all__iff,axiom, % 199.45/199.82 ! [V_xs_2,V_Pa_2,T_b] : % 199.45/199.82 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 199.45/199.82 <=> ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.45/199.82 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__all__rev,axiom, % 199.45/199.82 ! [V_xs_2,V_Pa_2,T_b] : % 199.45/199.82 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 199.45/199.82 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__all__simps_I1_J,axiom, % 199.45/199.82 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 199.45/199.82 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 199.45/199.82 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.45/199.82 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_Ball__set__list__all,axiom, % 199.45/199.82 ! [V_Pa_2,V_xs_2,T_b] : % 199.45/199.82 ( ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.45/199.82 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.45/199.82 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__all__iff__raw,axiom, % 199.45/199.82 ! [V_xs_2,V_Pa_2,T_b] : % 199.45/199.82 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 199.45/199.82 <=> ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.45/199.82 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__ex1__simps_I2_J,axiom, % 199.45/199.82 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 199.45/199.82 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 199.45/199.82 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.45/199.82 => c_List_Olist__all(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))),hAPP(c_fequal,V_x_2)),V_xs_2) ) % 199.45/199.82 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.45/199.82 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_New__DSequence_Opos__decr__bind__def,axiom, % 199.45/199.82 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 199.45/199.82 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.45/199.82 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_b) ) % 199.45/199.82 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.45/199.82 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__ex1__simps_I1_J,axiom, % 199.45/199.82 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__ex1__iff,axiom, % 199.45/199.82 ! [V_xs_2,V_Pa_2,T_b] : % 199.45/199.82 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) % 199.45/199.82 <=> ? [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.45/199.82 & hBOOL(hAPP(V_Pa_2,B_x)) % 199.45/199.82 & ! [B_y] : % 199.45/199.82 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.45/199.82 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 199.45/199.82 => B_y = B_x ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom, % 199.45/199.82 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Opos__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_New__DSequence_Opos__empty__def,axiom, % 199.45/199.82 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ). % 199.45/199.82 % 199.45/199.82 fof(fact_pos__empty__def,axiom, % 199.45/199.82 ! [V_seed_2,V_size_2,V_nrandom_2,T_b] : c_New__Random__Sequence_Opos__empty(T_b,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_b) ). % 199.45/199.82 % 199.45/199.82 fof(fact_New__DSequence_Opos__bind__def,axiom, % 199.45/199.82 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Opos__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_pos__bind__def,axiom, % 199.45/199.82 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom, % 199.45/199.82 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 199.45/199.82 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.45/199.82 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_b) ) % 199.45/199.82 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 199.45/199.82 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom, % 199.45/199.82 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Oneg__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_New__DSequence_Oneg__bind__def,axiom, % 199.45/199.82 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Oneg__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_neg__bind__def,axiom, % 199.45/199.82 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_pos__map__def,axiom, % 199.45/199.82 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),T_c,c_New__Random__Sequence_Opos__single(T_b)),V_f_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_pos__single__def,axiom, % 199.45/199.82 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_b,V_x_2) ). % 199.45/199.82 % 199.45/199.82 fof(fact_neg__map__def,axiom, % 199.45/199.82 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),T_c,c_New__Random__Sequence_Oneg__single(T_b)),V_f_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_New__DSequence_Opos__single__def,axiom, % 199.45/199.82 ! [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) ). % 199.45/199.82 % 199.45/199.82 fof(fact_neg__single__def,axiom, % 199.45/199.82 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_b,V_x_2) ). % 199.45/199.82 % 199.45/199.82 fof(fact_New__DSequence_Oneg__single__def,axiom, % 199.45/199.82 ! [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) ). % 199.45/199.82 % 199.45/199.82 fof(fact_,axiom, % 199.45/199.82 ! [V_s2_2,V_s1_2,T_c,T_b] : c_Lazy__Sequence_Oproduct(T_b,T_c,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_b,tc_prod(T_b,T_c),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_b),c_Lazy__Sequence_Obind(T_c,tc_prod(T_b,T_c),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_c),c_Lazy__Sequence_Osingle(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))) ). % 199.45/199.82 % 199.45/199.82 fof(fact_small__lazy__list_Osimps,axiom, % 199.45/199.82 ! [V_d_2,T_b] : % 199.45/199.82 ( class_Lazy__Sequence_Osmall__lazy(T_b) % 199.45/199.82 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_b),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)),hAPP(c_Lazy__Sequence_Obind(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),c_Lazy__Sequence_Oproduct(T_b,tc_List_Olist(T_b),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)))),c_List_Olist_OCons(T_b))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_b)))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_length__splice,axiom, % 199.45/199.82 ! [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)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_small__lazy__prod__def,axiom, % 199.45/199.82 ! [V_d,T_b,T_a] : % 199.45/199.82 ( ( class_Lazy__Sequence_Osmall__lazy(T_a) % 199.45/199.82 & class_Lazy__Sequence_Osmall__lazy(T_b) ) % 199.45/199.82 => 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)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_splice_Osimps_I1_J,axiom, % 199.45/199.82 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ). % 199.45/199.82 % 199.45/199.82 fof(fact_splice__Nil2,axiom, % 199.45/199.82 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ). % 199.45/199.82 % 199.45/199.82 fof(fact_splice_Osimps_I3_J,axiom, % 199.45/199.82 ! [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))) ). % 199.45/199.82 % 199.45/199.82 fof(fact_splice_Osimps_I2_J,axiom, % 199.45/199.82 ! [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) ). % 199.45/199.82 % 199.45/199.82 fof(fact_New__DSequence_Opos__union__def,axiom, % 199.45/199.82 ! [V_i_2,V_yq_2,V_xq_2,T_b] : hAPP(c_New__DSequence_Opos__union(T_b,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_b,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_acyclicP__converse,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Predicate_Oconversep(T_b,T_b,V_r_2)))) % 199.45/199.82 <=> c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_conversepD,axiom, % 199.45/199.82 ! [V_ba_2,V_a_2,V_r_2,T_c,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_ba_2)) % 199.45/199.82 => hBOOL(hAPP(hAPP(V_r_2,V_ba_2),V_a_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_conversep_Ointros,axiom, % 199.45/199.82 ! [T_c,T_b,V_ba_2,V_a_2,V_r_2] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_ba_2)) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_ba_2),V_a_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_conversep_Oequations,axiom, % 199.45/199.82 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2)) % 199.45/199.82 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_conversep__iff,axiom, % 199.45/199.82 ! [V_ba_2,V_a_2,V_r_2,T_c,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_ba_2)) % 199.45/199.82 <=> hBOOL(hAPP(hAPP(V_r_2,V_ba_2),V_a_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_conversep__conversep,axiom, % 199.45/199.82 ! [V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Oconversep(T_b,T_c,V_r_2)) = V_r_2 ). % 199.45/199.82 % 199.45/199.82 fof(fact_conversep__eq,axiom, % 199.45/199.82 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ). % 199.45/199.82 % 199.45/199.82 fof(fact_conversep__noteq,axiom, % 199.45/199.82 ! [V_y_2,V_x_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot)),c_fequal)),V_x_2),V_y_2)) % 199.45/199.82 <=> V_x_2 != V_y_2 ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_converse__pred__comp,axiom, % 199.45/199.82 ! [V_s_2,V_r_2,T_d,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Opred__comp(T_c,T_d,T_b,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_b,T_d,T_c,c_Predicate_Oconversep(T_d,T_b,V_s_2),c_Predicate_Oconversep(T_c,T_d,V_r_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_converse__join,axiom, % 199.45/199.82 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_converse__meet,axiom, % 199.45/199.82 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_conversep__converse__eq,axiom, % 199.45/199.82 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2),V_y_2)) % 199.45/199.82 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_pos__union__def,axiom, % 199.45/199.82 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_b] : c_New__Random__Sequence_Opos__union(T_b,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_b,hAPP(hAPP(hAPP(V_R1_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(hAPP(V_R2_2,V_nrandom_2),V_size_2),V_seed_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_small__lazy_H_Osimps,axiom, % 199.45/199.82 ! [V_i,V_d] : % 199.45/199.82 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 199.45/199.82 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 199.45/199.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 199.45/199.82 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i),c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_small__lazy__int__def,axiom, % 199.45/199.82 ! [V_d] : c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint,V_d) = c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_d)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_small__lazy_H_Opsimps,axiom, % 199.45/199.82 ! [V_i_2,V_d_2] : % 199.45/199.82 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2))) % 199.45/199.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 199.45/199.82 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 199.45/199.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 199.45/199.82 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i_2),c_Lazy__Sequence_Osmall__lazy_H(V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_tl__replicate,axiom, % 199.45/199.82 ! [V_x,T_a,V_n] : % 199.45/199.82 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.45/199.82 => 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) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_replicate__app__Cons__same,axiom, % 199.45/199.82 ! [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)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_replicate__Suc,axiom, % 199.45/199.82 ! [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)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_rev__replicate,axiom, % 199.45/199.82 ! [V_x,V_n,T_a] : hAPP(c_List_Orev(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,V_n,V_x) ). % 199.45/199.82 % 199.45/199.82 fof(fact_drop__replicate,axiom, % 199.45/199.82 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_k),V_i),V_x) ). % 199.45/199.82 % 199.45/199.82 fof(fact_hd__replicate,axiom, % 199.45/199.82 ! [V_x,T_a,V_n] : % 199.45/199.82 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.45/199.82 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_take__replicate,axiom, % 199.45/199.82 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_k),V_x) ). % 199.45/199.82 % 199.45/199.82 fof(fact_last__replicate,axiom, % 199.45/199.82 ! [V_x,T_a,V_n] : % 199.45/199.82 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.45/199.82 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_replicate__length__filter,axiom, % 199.45/199.82 ! [V_xs_2,V_x_2,T_b] : c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2)),V_x_2) = hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2) ). % 199.45/199.82 % 199.45/199.82 fof(fact_zip__replicate,axiom, % 199.45/199.82 ! [V_y,V_j,V_x,V_i,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Oreplicate(T_a,V_i,V_x)),c_List_Oreplicate(T_b,V_j,V_y)) = c_List_Oreplicate(tc_prod(T_a,T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_j),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_Bex__set__replicate,axiom, % 199.45/199.82 ! [V_Pa_2,V_a_2,V_n_2,T_b] : % 199.45/199.82 ( ? [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2)))) % 199.45/199.82 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.45/199.82 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 199.45/199.82 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_Ball__set__replicate,axiom, % 199.45/199.82 ! [V_Pa_2,V_a_2,V_n_2,T_b] : % 199.45/199.82 ( ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2)))) % 199.45/199.82 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.45/199.82 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 199.45/199.82 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_replicate__eq__replicate,axiom, % 199.45/199.82 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] : % 199.45/199.82 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2) % 199.45/199.82 <=> ( V_m_2 = V_n_2 % 199.45/199.82 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.45/199.82 => V_x_2 = V_y_2 ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_length__replicate,axiom, % 199.45/199.82 ! [V_x,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oreplicate(T_a,V_n,V_x)) = V_n ). % 199.45/199.82 % 199.45/199.82 fof(fact_nth__replicate,axiom, % 199.45/199.82 ! [V_x,T_a,V_n,V_i] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 199.45/199.82 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_append__replicate__commute,axiom, % 199.45/199.82 ! [V_k,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_k,V_x)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_k,V_x)),c_List_Oreplicate(T_a,V_n,V_x)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_replicate__add,axiom, % 199.45/199.82 ! [V_x,V_m,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m),V_x) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_m,V_x)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_filter__replicate,axiom, % 199.45/199.82 ! [V_n_2,T_b,V_x_2,V_Pa_2] : % 199.45/199.82 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.45/199.82 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,V_x_2) ) % 199.45/199.82 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 199.45/199.82 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Olist_ONil(T_b) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_concat__replicate__trivial,axiom, % 199.45/199.82 ! [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) ). % 199.45/199.82 % 199.45/199.82 fof(fact_replicate__0,axiom, % 199.45/199.82 ! [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) ). % 199.45/199.82 % 199.45/199.82 fof(fact_empty__replicate,axiom, % 199.45/199.82 ! [V_x_2,V_n_2,T_b] : % 199.45/199.82 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2) % 199.45/199.82 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_replicate__empty,axiom, % 199.45/199.82 ! [V_x_2,V_n_2,T_b] : % 199.45/199.82 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b) % 199.45/199.82 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_map__replicate__const,axiom, % 199.45/199.82 ! [V_lst_2,V_k_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_k_2)),V_lst_2) = c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_lst_2),V_k_2) ). % 199.45/199.82 % 199.45/199.82 fof(fact_map__replicate,axiom, % 199.45/199.82 ! [V_x_2,V_n_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oreplicate(T_c,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,hAPP(V_f_2,V_x_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_in__set__replicate,axiom, % 199.45/199.82 ! [V_y_2,V_n_2,V_x_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_y_2)))) % 199.45/199.82 <=> ( V_x_2 = V_y_2 % 199.45/199.82 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_replicate__append__same,axiom, % 199.45/199.82 ! [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)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_map__replicate__trivial,axiom, % 199.45/199.82 ! [V_i_2,V_x_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_COMBK(T_b,tc_Nat_Onat),V_x_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2)) = c_List_Oreplicate(T_b,V_i_2,V_x_2) ). % 199.45/199.82 % 199.45/199.82 fof(fact_set__replicate,axiom, % 199.45/199.82 ! [V_x_2,T_b,V_n_2] : % 199.45/199.82 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.45/199.82 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_set__replicate__conv__if,axiom, % 199.45/199.82 ! [V_x_2,T_b,V_n_2] : % 199.45/199.82 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.45/199.82 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 199.45/199.82 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.45/199.82 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_set__replicate__Suc,axiom, % 199.45/199.82 ! [V_x_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,hAPP(c_Nat_OSuc,V_n_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 199.45/199.82 % 199.45/199.82 fof(fact_small__lazy_H_Opinduct,axiom, % 199.45/199.82 ! [V_Pa_2,V_a1_2,V_a0_2] : % 199.45/199.82 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2))) % 199.45/199.82 => ( ! [B_d,B_i] : % 199.45/199.82 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i))) % 199.45/199.82 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i)) % 199.45/199.82 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) % 199.45/199.82 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) ) % 199.45/199.82 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_eq__comp__r,axiom, % 199.45/199.82 ! [V_R_2,T_b] : c_Predicate_Opred__comp(T_b,T_b,T_b,c_fequal,c_Predicate_Opred__comp(T_b,T_b,T_b,V_R_2,c_fequal)) = V_R_2 ). % 199.45/199.82 % 199.45/199.82 fof(fact_field__le__epsilon,axiom, % 199.45/199.82 ! [V_y,V_x,T_a] : % 199.45/199.82 ( class_Fields_Olinordered__field(T_a) % 199.45/199.82 => ( ! [B_e] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e)) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),B_e))) ) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_lazy__sequence_Osize_I4_J,axiom, % 199.45/199.82 ! [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))) ). % 199.45/199.82 % 199.45/199.82 fof(fact__01,axiom, % 199.45/199.82 ! [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)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_lazy__sequence_Oinject,axiom, % 199.45/199.82 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] : % 199.45/199.82 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_H_2,V_lazy__sequence_H_2) % 199.45/199.82 <=> ( V_a_2 = V_a_H_2 % 199.45/199.82 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_lazy__sequence_Osize_I2_J,axiom, % 199.45/199.82 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 199.45/199.82 % 199.45/199.82 fof(fact_size__code,axiom, % 199.45/199.82 ! [V_xq_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),T_b),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_lazy__sequence__size__code,axiom, % 199.45/199.82 ! [V_xq_2,V_s_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_b,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_b),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_b),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_seq__case,axiom, % 199.45/199.82 ! [V_xq_2,V_g_2,V_f_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f_2,V_g_2,V_xq_2) = c_Option_Ooption_Ooption__case(T_b,tc_prod(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c),T_b),V_g_2),hAPP(c_Lazy__Sequence_Oyield(T_c),V_xq_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_yieldn__def,axiom, % 199.45/199.82 ! [T_b] : c_Lazy__Sequence_Oyieldn(T_b) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_b),T_b,c_Lazy__Sequence_Oyield(T_b)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_lazy__sequence_Osimps_I5_J,axiom, % 199.45/199.82 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ). % 199.45/199.82 % 199.45/199.82 fof(fact_refl__on__INTER,axiom, % 199.45/199.82 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 199.45/199.82 ( ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 199.45/199.82 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 199.45/199.82 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_in__set__member,axiom, % 199.45/199.82 ! [V_xs_2,V_x_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.45/199.82 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_member__rec_I2_J,axiom, % 199.45/199.82 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_member__set,axiom, % 199.45/199.82 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ). % 199.45/199.82 % 199.45/199.82 fof(fact_member__rec_I1_J,axiom, % 199.45/199.82 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_y_2)) % 199.45/199.82 <=> ( V_x_2 = V_y_2 % 199.45/199.82 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_List_Omember__def,axiom, % 199.45/199.82 ! [V_x_2,V_xs_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) % 199.45/199.82 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__ex1__iff__raw,axiom, % 199.45/199.82 ! [V_xs_2,V_Pa_2,T_b] : % 199.45/199.82 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) % 199.45/199.82 <=> ? [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.45/199.82 & hBOOL(hAPP(V_Pa_2,B_x)) % 199.45/199.82 & ! [B_y] : % 199.45/199.82 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.45/199.82 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 199.45/199.82 => B_y = B_x ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_setsum__UNION__zero,axiom, % 199.45/199.82 ! [V_f_2,V_S_2,T_b,T_c] : % 199.45/199.82 ( class_Groups_Ocomm__monoid__add(T_c) % 199.45/199.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2)) % 199.45/199.82 => ( ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2)) % 199.45/199.82 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 199.45/199.82 => ( ! [B_T1] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2)) % 199.45/199.82 => ! [B_T2] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2)) % 199.45/199.82 => ( B_T1 != B_T2 % 199.45/199.82 => ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1)) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2)) % 199.45/199.82 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) % 199.45/199.82 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2)),V_S_2) ) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_THE__default__def,axiom, % 199.45/199.82 ! [V_d_2,T_b,V_Pa_2] : % 199.45/199.82 ( ( ? [B_x] : % 199.45/199.82 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.45/199.82 & ! [B_y] : % 199.45/199.82 ( hBOOL(hAPP(V_Pa_2,B_y)) % 199.45/199.82 => B_y = B_x ) ) % 199.45/199.82 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ) % 199.45/199.82 & ( ~ ? [B_x] : % 199.45/199.82 ( hBOOL(hAPP(V_Pa_2,B_x)) % 199.45/199.82 & ! [B_y] : % 199.45/199.82 ( hBOOL(hAPP(V_Pa_2,B_y)) % 199.45/199.82 => B_y = B_x ) ) % 199.45/199.82 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_INF2__I,axiom, % 199.45/199.82 ! [T_d,T_c,V_ca_2,V_ba_2,V_B_2,V_A_2,T_b] : % 199.45/199.82 ( ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.45/199.82 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_ba_2),V_ca_2)) ) % 199.45/199.82 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_ba_2),V_ca_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_SUP2__E,axiom, % 199.45/199.82 ! [V_ca_2,V_ba_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_ba_2),V_ca_2)) % 199.45/199.82 => ~ ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.45/199.82 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_ba_2),V_ca_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_finite__maxlen,axiom, % 199.45/199.82 ! [V_M_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2)) % 199.45/199.82 => ? [B_n] : % 199.45/199.82 ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2)) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),B_x)),B_n)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_lazy__sequence_Osize_I3_J,axiom, % 199.45/199.82 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(fact_lazy__sequence_Osize_I1_J,axiom, % 199.45/199.82 ! [V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(fact_lazy__sequence_Osimps_I3_J,axiom, % 199.45/199.82 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) != c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ). % 199.45/199.82 % 199.45/199.82 fof(fact_lazy__sequence_Osimps_I2_J,axiom, % 199.45/199.82 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) != c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) ). % 199.45/199.82 % 199.45/199.82 fof(fact__02,axiom, % 199.45/199.82 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ). % 199.45/199.82 % 199.45/199.82 fof(fact_lazy__sequence_Osimps_I4_J,axiom, % 199.45/199.82 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__all__iff__all__interval__int,axiom, % 199.45/199.82 ! [V_j_2,V_i_2,V_Pa_2] : % 199.45/199.82 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2)) % 199.45/199.82 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__ex__iff__not__all__inverval__int,axiom, % 199.45/199.82 ! [V_j_2,V_i_2,V_Pa_2] : % 199.45/199.82 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2)) % 199.45/199.82 <=> ~ c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_all__interval__int__def,axiom, % 199.45/199.82 ! [V_j_2,V_i_2,V_Pa_2] : % 199.45/199.82 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) % 199.45/199.82 <=> ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2))) % 199.45/199.82 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_code__numeral_Orecs_I2_J,axiom, % 199.45/199.82 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(hAPP(V_f2_2,V_code__numeral_2),c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,V_code__numeral_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_Random_Osimps,axiom, % 199.45/199.82 ! [V_size_2,V_g_2,T_b,V_nrandom_2] : % 199.45/199.82 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) % 199.45/199.82 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ) % 199.45/199.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) % 199.45/199.82 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm)),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(V_g_2,V_size_2)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(T_b,V_g_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_size_2))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(T_b)),c_Product__Type_Ofst(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))))))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_code__numeral_Orecs_I1_J,axiom, % 199.45/199.82 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ). % 199.45/199.82 % 199.45/199.82 fof(fact_Random__Sequence_Oempty__def,axiom, % 199.45/199.82 ! [V_size_2,V_nrandom_2,T_b] : c_Random__Sequence_Oempty(T_b,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_Random__Sequence_Osingle__def,axiom, % 199.45/199.82 ! [V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(T_b),V_x_2),V_nrandom_2),V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(T_b),V_x_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_Random__Sequence_Omap__def,axiom, % 199.45/199.82 ! [V_Pa_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_Pa_2) = c_Random__Sequence_Obind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_c,c_Random__Sequence_Osingle(T_b)),V_f_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_exE__realizer,axiom, % 199.45/199.82 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_Pa_2] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2))) % 199.45/199.82 => ( ! [B_x,B_y] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x)) % 199.45/199.82 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) ) % 199.45/199.82 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_Image__Collect__split,axiom, % 199.45/199.82 ! [V_A_2,V_Pa_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2)))) ). % 199.45/199.82 % 199.45/199.82 fof(fact_lexord__trans,axiom, % 199.45/199.82 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_z_2)),c_List_Olexord(T_b,V_r_2))) % 199.45/199.82 => ( c_Relation_Otrans(T_b,V_r_2) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_z_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_trans__less__than,axiom, % 199.45/199.82 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 199.45/199.82 % 199.45/199.82 fof(fact_trans__lex__prod,axiom, % 199.45/199.82 ! [V_R2_2,T_c,V_R1_2,T_b] : % 199.45/199.82 ( c_Relation_Otrans(T_b,V_R1_2) % 199.45/199.82 => ( c_Relation_Otrans(T_c,V_R2_2) % 199.45/199.82 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_transD,axiom, % 199.45/199.82 ! [V_ca_2,V_ba_2,V_a_2,V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Otrans(T_b,V_r_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_ca_2)),V_r_2)) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),V_r_2)) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_trans__def,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Otrans(T_b,V_r_2) % 199.45/199.82 <=> ! [B_x,B_y] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 199.45/199.82 => ! [B_z] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2)) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_z)),V_r_2)) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_trans__reflclI,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Otrans(T_b,V_r_2) % 199.45/199.82 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_trans__rtrancl,axiom, % 199.45/199.82 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_trans__finite__psubset,axiom, % 199.45/199.82 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_trans__Id__on,axiom, % 199.45/199.82 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_trans__trancl,axiom, % 199.45/199.82 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_trancl__id,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Otrans(T_b,V_r_2) % 199.45/199.82 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_trans__Id,axiom, % 199.45/199.82 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_lexord__transI,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Otrans(T_b,V_r_2) % 199.45/199.82 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_trans__converse,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 199.45/199.82 <=> c_Relation_Otrans(T_b,V_r_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bex__empty,axiom, % 199.45/199.82 ! [V_Pa_2,T_b] : % 199.45/199.82 ~ ? [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 199.45/199.82 & hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_listrel__trans,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Otrans(T_b,V_r_2) % 199.45/199.82 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_finite__Collect__bex,axiom, % 199.45/199.82 ! [V_Q_2,T_c,V_A_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.45/199.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_Q_2))))) % 199.45/199.82 <=> ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.45/199.82 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_x)))) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bex__UNIV,axiom, % 199.45/199.82 ! [V_Pa_2,T_b] : % 199.45/199.82 ( ? [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 199.45/199.82 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.45/199.82 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_trans__Int,axiom, % 199.45/199.82 ! [V_s_2,V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Otrans(T_b,V_r_2) % 199.45/199.82 => ( c_Relation_Otrans(T_b,V_s_2) % 199.45/199.82 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_SUPR__bool__eq,axiom, % 199.45/199.82 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ). % 199.45/199.82 % 199.45/199.82 fof(fact_trans__O__subset,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Otrans(T_b,V_r_2) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),V_r_2)),V_r_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_trans__inv__image,axiom, % 199.45/199.82 ! [V_f_2,T_c,V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Otrans(T_b,V_r_2) % 199.45/199.82 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_Union__eq,axiom, % 199.45/199.82 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__ex__iff__raw,axiom, % 199.45/199.82 ! [V_xs_2,V_Pa_2,T_b] : % 199.45/199.82 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 199.45/199.82 <=> ? [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.45/199.82 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_Bex__set__list__ex,axiom, % 199.45/199.82 ! [V_Pa_2,V_xs_2,T_b] : % 199.45/199.82 ( ? [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 199.45/199.82 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.45/199.82 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_UN__eq,axiom, % 199.45/199.82 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ). % 199.45/199.82 % 199.45/199.82 fof(fact_INT__eq,axiom, % 199.45/199.82 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ). % 199.45/199.82 % 199.45/199.82 fof(fact_Sup__apply,axiom, % 199.45/199.82 ! [V_x_2,V_A_2,T_c,T_b] : % 199.45/199.82 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.45/199.82 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_Sup__fun__def,axiom, % 199.45/199.82 ! [V_x_2,V_A_2,T_c,T_b] : % 199.45/199.82 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.45/199.82 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_Inf__apply,axiom, % 199.45/199.82 ! [V_x_2,V_A_2,T_c,T_b] : % 199.45/199.82 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.45/199.82 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_Inf__fun__def,axiom, % 199.45/199.82 ! [V_x_2,V_A_2,T_c,T_b] : % 199.45/199.82 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 199.45/199.82 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_max__extp_Ointros,axiom, % 199.45/199.82 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 199.45/199.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 199.45/199.82 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.45/199.82 => ( ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 199.45/199.82 => ? [B_xa] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 199.45/199.82 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) % 199.45/199.82 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_transp__def,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Predicate_Otransp(T_b,V_r_2) % 199.45/199.82 <=> c_Relation_Otrans(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_transpE,axiom, % 199.45/199.82 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 199.45/199.82 ( c_Predicate_Otransp(T_b,V_r_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2)) % 199.45/199.82 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_equivp__reflp__symp__transp,axiom, % 199.45/199.82 ! [V_R_2,T_b] : % 199.45/199.82 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.45/199.82 <=> ( c_Predicate_Oreflp(T_b,V_R_2) % 199.45/199.82 & c_Predicate_Osymp(T_b,V_R_2) % 199.45/199.82 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_equivpI,axiom, % 199.45/199.82 ! [V_R_2,T_b] : % 199.45/199.82 ( c_Predicate_Oreflp(T_b,V_R_2) % 199.45/199.82 => ( c_Predicate_Osymp(T_b,V_R_2) % 199.45/199.82 => ( c_Predicate_Otransp(T_b,V_R_2) % 199.45/199.82 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_sympE,axiom, % 199.45/199.82 ! [V_y_2,V_x_2,V_r_2,T_b] : % 199.45/199.82 ( c_Predicate_Osymp(T_b,V_r_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 199.45/199.82 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_equivpE,axiom, % 199.45/199.82 ! [V_R_2,T_b] : % 199.45/199.82 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.45/199.82 => ~ ( c_Predicate_Oreflp(T_b,V_R_2) % 199.45/199.82 => ( c_Predicate_Osymp(T_b,V_R_2) % 199.45/199.82 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_max__extp_Osimps,axiom, % 199.45/199.82 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 199.45/199.82 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 199.45/199.82 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 199.45/199.82 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 199.45/199.82 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 199.45/199.82 & ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 199.45/199.82 => ? [B_xa] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 199.45/199.82 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_trans__diff__Id,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Otrans(T_b,V_r_2) % 199.45/199.82 => ( c_Relation_Oantisym(T_b,V_r_2) % 199.45/199.82 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_antisym__empty,axiom, % 199.45/199.82 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 199.45/199.82 % 199.45/199.82 fof(fact_antisym__converse,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 199.45/199.82 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_antisym__Id,axiom, % 199.45/199.82 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_antisym__Id__on,axiom, % 199.45/199.82 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_antisym__subset,axiom, % 199.45/199.82 ! [V_s_2,V_r_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 199.45/199.82 => ( c_Relation_Oantisym(T_b,V_s_2) % 199.45/199.82 => c_Relation_Oantisym(T_b,V_r_2) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_antisymD,axiom, % 199.45/199.82 ! [V_ba_2,V_a_2,V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Oantisym(T_b,V_r_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_a_2)),V_r_2)) % 199.45/199.82 => V_a_2 = V_ba_2 ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_antisym__def,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Oantisym(T_b,V_r_2) % 199.45/199.82 <=> ! [B_x,B_y] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) % 199.45/199.82 => B_x = B_y ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_antisym__reflcl,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Oantisym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) % 199.45/199.82 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_acyclic__impl__antisym__rtrancl,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 199.45/199.82 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_fun__lub__def,axiom, % 199.45/199.82 ! [V_x_2,V_A_2,V_L_2,T_d,T_b,T_c] : c_Partial__Function_Ofun__lub(T_c,T_b,T_d,V_L_2,V_A_2,V_x_2) = hAPP(V_L_2,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(tc_fun(T_d,T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),T_c),hAPP(c_COMBS(tc_fun(T_d,T_c),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_d,T_c)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_d,T_c))),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,tc_fun(T_d,T_c))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),T_d,T_c),c_COMBI(tc_fun(T_d,T_c))),V_x_2)))))) ). % 199.45/199.82 % 199.45/199.82 fof(fact_sym__trans__comp__subset,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Osym(T_b,V_r_2) % 199.45/199.82 => ( c_Relation_Otrans(T_b,V_r_2) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2)),V_r_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_symD,axiom, % 199.45/199.82 ! [V_ba_2,V_a_2,V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Osym(T_b,V_r_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_a_2)),V_r_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_sym__def,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Osym(T_b,V_r_2) % 199.45/199.82 <=> ! [B_x,B_y] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_sym__Int__converse,axiom, % 199.45/199.82 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ). % 199.45/199.82 % 199.45/199.82 fof(fact_sym__Un__converse,axiom, % 199.45/199.82 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ). % 199.45/199.82 % 199.45/199.82 fof(fact_sym__rtrancl,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Osym(T_b,V_r_2) % 199.45/199.82 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_sym__Id__on,axiom, % 199.45/199.82 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_sym__trancl,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Osym(T_b,V_r_2) % 199.45/199.82 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_sym__Un,axiom, % 199.45/199.82 ! [V_s_2,V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Osym(T_b,V_r_2) % 199.45/199.82 => ( c_Relation_Osym(T_b,V_s_2) % 199.45/199.82 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_sym__Id,axiom, % 199.45/199.82 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_sym__converse,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 199.45/199.82 <=> c_Relation_Osym(T_b,V_r_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_sym__conv__converse__eq,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Osym(T_b,V_r_2) % 199.45/199.82 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_listrel__sym,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Osym(T_b,V_r_2) % 199.45/199.82 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_sym__Int,axiom, % 199.45/199.82 ! [V_s_2,V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Osym(T_b,V_r_2) % 199.45/199.82 => ( c_Relation_Osym(T_b,V_s_2) % 199.45/199.82 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_sym__inv__image,axiom, % 199.45/199.82 ! [V_f_2,T_c,V_r_2,T_b] : % 199.45/199.82 ( c_Relation_Osym(T_b,V_r_2) % 199.45/199.82 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_equivE,axiom, % 199.45/199.82 ! [V_r_2,V_A_2,T_b] : % 199.45/199.82 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.45/199.82 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.45/199.82 => ( c_Relation_Osym(T_b,V_r_2) % 199.45/199.82 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_equivI,axiom, % 199.45/199.82 ! [V_r_2,V_A_2,T_b] : % 199.45/199.82 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.45/199.82 => ( c_Relation_Osym(T_b,V_r_2) % 199.45/199.82 => ( c_Relation_Otrans(T_b,V_r_2) % 199.45/199.82 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_equiv__def,axiom, % 199.45/199.82 ! [V_r_2,V_A_2,T_b] : % 199.45/199.82 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 199.45/199.82 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 199.45/199.82 & c_Relation_Osym(T_b,V_r_2) % 199.45/199.82 & c_Relation_Otrans(T_b,V_r_2) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_symp__def,axiom, % 199.45/199.82 ! [V_r_2,T_b] : % 199.45/199.82 ( c_Predicate_Osymp(T_b,V_r_2) % 199.45/199.82 <=> c_Relation_Osym(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_part__equivp__refl__symp__transp,axiom, % 199.45/199.82 ! [V_R_2,T_b] : % 199.45/199.82 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 199.45/199.82 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 199.45/199.82 & c_Predicate_Osymp(T_b,V_R_2) % 199.45/199.82 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_part__equivpI,axiom, % 199.45/199.82 ! [T_b,V_R_2] : % 199.45/199.82 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 199.45/199.82 => ( c_Predicate_Osymp(T_b,V_R_2) % 199.45/199.82 => ( c_Predicate_Otransp(T_b,V_R_2) % 199.45/199.82 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_part__equivp__def,axiom, % 199.45/199.82 ! [V_R_2,T_b] : % 199.45/199.82 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 199.45/199.82 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 199.45/199.82 & ! [B_x,B_y] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 199.45/199.82 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 199.45/199.82 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y)) % 199.45/199.82 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_part__equivp__symp,axiom, % 199.45/199.82 ! [V_y_2,V_x_2,V_R_2,T_b] : % 199.45/199.82 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 199.45/199.82 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_part__equivp__transp,axiom, % 199.45/199.82 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 199.45/199.82 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 199.45/199.82 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_equivp__implies__part__equivp,axiom, % 199.45/199.82 ! [V_R_2,T_b] : % 199.45/199.82 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.45/199.82 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_part__equivpE,axiom, % 199.45/199.82 ! [V_R_2,T_b] : % 199.45/199.82 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 199.45/199.82 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 199.45/199.82 => ( c_Predicate_Osymp(T_b,V_R_2) % 199.45/199.82 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_part__equivp__typedef,axiom, % 199.45/199.82 ! [V_R_2,T_b] : % 199.45/199.82 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 199.45/199.82 => ? [B_d] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBS(T_b,T_b,tc_HOL_Obool),V_R_2),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_fequal)),V_R_2))))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inv__o__cancel,axiom, % 199.45/199.82 ! [V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.45/199.82 => hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inj__iff,axiom, % 199.45/199.82 ! [V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.45/199.82 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inv__into__image__cancel,axiom, % 199.45/199.82 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2)) % 199.45/199.82 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = V_S_2 ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inj__on__inv__into,axiom, % 199.45/199.82 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 199.45/199.82 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_B_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inj__imp__surj__inv,axiom, % 199.45/199.82 ! [V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.45/199.82 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_image__inv__f__f,axiom, % 199.45/199.82 ! [V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.45/199.82 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inv__image__comp,axiom, % 199.45/199.82 ! [V_X_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.45/199.82 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_X_2)) = V_X_2 ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_surj__imp__inj__inv,axiom, % 199.45/199.82 ! [V_f_2,T_b,T_c] : % 199.45/199.82 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 199.45/199.82 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inv__id,axiom, % 199.45/199.82 ! [T_b] : c_Hilbert__Choice_Oinv__into(T_b,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Fun_Oid(T_b)) = c_Fun_Oid(T_b) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inv__into__def,axiom, % 199.45/199.82 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inv__f__f,axiom, % 199.45/199.82 ! [V_x_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.45/199.82 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inv__f__eq,axiom, % 199.45/199.82 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.45/199.82 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 199.45/199.82 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = V_x_2 ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inv__into__f__f,axiom, % 199.45/199.82 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.45/199.82 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inv__into__f__eq,axiom, % 199.45/199.82 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 199.45/199.82 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 199.45/199.82 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_f__inv__into__f,axiom, % 199.45/199.82 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 199.45/199.82 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inv__into__into,axiom, % 199.45/199.82 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_x_2)),V_A_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inv__into__injective,axiom, % 199.45/199.82 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] : % 199.45/199.82 ( hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 199.45/199.82 => V_x_2 = V_y_2 ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_surj__iff__all,axiom, % 199.45/199.82 ! [V_f_2,T_b,T_c] : % 199.45/199.82 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 199.45/199.82 <=> ! [B_x] : hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),B_x)) = B_x ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_surj__f__inv__f,axiom, % 199.45/199.82 ! [V_y_2,V_f_2,T_b,T_c] : % 199.45/199.82 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 199.45/199.82 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),V_y_2)) = V_y_2 ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_image__surj__f__inv__f,axiom, % 199.45/199.82 ! [V_A_2,V_f_2,T_b,T_c] : % 199.45/199.82 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 199.45/199.82 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),V_A_2)) = V_A_2 ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_image__inv__into__cancel,axiom, % 199.45/199.82 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] : % 199.45/199.82 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2)) % 199.45/199.82 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2)),V_B_H_2)) = V_B_H_2 ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inv__def,axiom, % 199.45/199.82 ! [V_y_2,V_f_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_y_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_o__inv__o__cancel,axiom, % 199.45/199.82 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.45/199.82 => hAPP(c_Fun_Ocomp(T_c,T_d,T_b,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))),V_f_2) = V_g_2 ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inv__into__comp,axiom, % 199.45/199.82 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)) % 199.45/199.82 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)))) % 199.45/199.82 => hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,V_A_2,V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_surj__iff,axiom, % 199.45/199.82 ! [V_f_2,T_b,T_c] : % 199.45/199.82 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 199.45/199.82 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,V_f_2),c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)) = c_Fun_Oid(T_b) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inj__transfer,axiom, % 199.45/199.82 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.45/199.82 => ( ! [B_y] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) % 199.45/199.82 => hBOOL(hAPP(V_Pa_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),B_y))) ) % 199.45/199.82 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_fold__image__UN__disjoint,axiom, % 199.45/199.82 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] : % 199.45/199.82 ( class_Groups_Ocomm__monoid__mult(T_d) % 199.45/199.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2)) % 199.45/199.82 => ( ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 199.45/199.82 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 199.45/199.82 => ( ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 199.45/199.82 => ! [B_xa] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2)) % 199.45/199.82 => ( B_x != B_xa % 199.45/199.82 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,B_x)),hAPP(V_A_2,B_xa)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) % 199.45/199.82 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),T_d,T_b),hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d))),V_A_2)),c_Groups_Oone__class_Oone(T_d)),V_I_2) ) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_nat__of__induct,axiom, % 199.45/199.82 ! [V_Pa_2,V_y_2] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 199.45/199.82 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x))) % 199.45/199.82 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_nat__of__cases,axiom, % 199.45/199.82 ! [V_y_2] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 199.45/199.82 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_of__nat__induct,axiom, % 199.45/199.82 ! [V_x_2,V_Pa_2] : % 199.45/199.82 ( ! [B_y] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 199.45/199.82 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) ) % 199.45/199.82 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_of__nat__cases,axiom, % 199.45/199.82 ! [V_x_2] : % 199.45/199.82 ~ ! [B_y] : % 199.45/199.82 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y) % 199.45/199.82 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_lazy__sequence_Orecs_I1_J,axiom, % 199.45/199.82 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ). % 199.45/199.82 % 199.45/199.82 fof(fact_beyond__def,axiom, % 199.45/199.82 ! [V_l,V_k] : % 199.45/199.82 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 199.45/199.82 => c_Quickcheck_Obeyond(V_k,V_l) = V_l ) % 199.45/199.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 199.45/199.82 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_beyond__zero,axiom, % 199.45/199.82 ! [V_k] : c_Quickcheck_Obeyond(V_k,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(fact_lazy__sequence_Orecs_I2_J,axiom, % 199.45/199.82 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,V_lazy__sequence_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__image__Collect__eq,axiom, % 199.45/199.82 ! [V_Pa_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.45/199.82 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),V_Pa_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_curry__def,axiom, % 199.45/199.82 ! [V_y_2,V_x_2,V_ca_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_ca_2),V_x_2),V_y_2) = hAPP(V_ca_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_curryI,axiom, % 199.45/199.82 ! [V_ba_2,V_a_2,T_c,T_b,V_f_2] : % 199.45/199.82 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2))) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_ba_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__id,axiom, % 199.45/199.82 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__inv__into,axiom, % 199.45/199.82 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 199.45/199.82 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inv__into__inv__into__eq,axiom, % 199.45/199.82 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 199.45/199.82 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_H_2,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__imp__bij__inv,axiom, % 199.45/199.82 ! [V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.45/199.82 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inv__inv__eq,axiom, % 199.45/199.82 ! [V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.45/199.82 => c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) = V_f_2 ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_o__inv__distrib,axiom, % 199.45/199.82 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.45/199.82 => ( c_Fun_Obij__betw(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.45/199.82 => c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__image__INT,axiom, % 199.45/199.82 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.45/199.82 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__comp,axiom, % 199.45/199.82 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.45/199.82 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 199.45/199.82 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__trans,axiom, % 199.45/199.82 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 199.45/199.82 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2) % 199.45/199.82 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2,V_C_2) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__comp__iff,axiom, % 199.45/199.82 ! [V_A_H_H_2,V_f_H_2,T_d,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 199.45/199.82 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2) % 199.45/199.82 <=> c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__comp__iff2,axiom, % 199.45/199.82 ! [V_A_2,V_f_2,T_d,V_A_H_H_2,V_A_H_2,V_f_H_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),V_A_H_2)) % 199.45/199.82 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2) % 199.45/199.82 <=> c_Fun_Obij__betw(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_curry__conv,axiom, % 199.45/199.82 ! [V_ba_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_f_2),V_a_2),V_ba_2) = hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_ba_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_curryD,axiom, % 199.45/199.82 ! [V_ba_2,V_a_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_ba_2)) % 199.45/199.82 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_curryE,axiom, % 199.45/199.82 ! [V_ba_2,V_a_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_ba_2)) % 199.45/199.82 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__subset,axiom, % 199.45/199.82 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.45/199.82 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2 % 199.45/199.82 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__imp__surj,axiom, % 199.45/199.82 ! [V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.45/199.82 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__is__surj,axiom, % 199.45/199.82 ! [V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.45/199.82 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inj__on__imp__bij__betw,axiom, % 199.45/199.82 ! [V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.45/199.82 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__def,axiom, % 199.45/199.82 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 199.45/199.82 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.45/199.82 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__imp__inj__on,axiom, % 199.45/199.82 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 199.45/199.82 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__is__inj,axiom, % 199.45/199.82 ! [V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.45/199.82 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__same__card,axiom, % 199.45/199.82 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 199.45/199.82 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__the__inv__into,axiom, % 199.45/199.82 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 199.45/199.82 => c_Fun_Obij__betw(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__empty1,axiom, % 199.45/199.82 ! [V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_A_2) % 199.45/199.82 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__empty2,axiom, % 199.45/199.82 ! [V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) % 199.45/199.82 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__finite,axiom, % 199.45/199.82 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 199.45/199.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.45/199.82 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_BIJ,axiom, % 199.45/199.82 ! [V_B_2,T_c,V_A_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 199.45/199.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 199.45/199.82 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2) % 199.45/199.82 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__id__iff,axiom, % 199.45/199.82 ! [V_B_2,V_A_2,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2) % 199.45/199.82 <=> V_A_2 = V_B_2 ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__id,axiom, % 199.45/199.82 ! [T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__combine,axiom, % 199.45/199.82 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 199.45/199.82 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2) % 199.45/199.82 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 199.45/199.82 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2)) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__betw__Disj__Un,axiom, % 199.45/199.82 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] : % 199.45/199.82 ( 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)) % 199.45/199.82 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 199.45/199.82 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 199.45/199.82 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) % 199.45/199.82 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2)) ) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__def,axiom, % 199.45/199.82 ! [V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.45/199.82 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.45/199.82 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bijI,axiom, % 199.45/199.82 ! [V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 199.45/199.82 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) % 199.45/199.82 => c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__image__Compl__eq,axiom, % 199.45/199.82 ! [V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.45/199.82 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_finite__vimage__iff,axiom, % 199.45/199.82 ! [V_F_2,V_h_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.45/199.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 199.45/199.82 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_split__curry,axiom, % 199.45/199.82 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),c_Product__Type_Ocurry(T_b,T_c,T_d,V_f_2)) = V_f_2 ). % 199.45/199.82 % 199.45/199.82 fof(fact_curry__split,axiom, % 199.45/199.82 ! [V_f_2,T_d,T_c,T_b] : c_Product__Type_Ocurry(T_b,T_c,T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)) = V_f_2 ). % 199.45/199.82 % 199.45/199.82 fof(fact_vimage__subset__eq,axiom, % 199.45/199.82 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2)) % 199.45/199.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bij__vimage__eq__inv__image,axiom, % 199.45/199.82 ! [V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 199.45/199.82 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_A_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_ex__bij__betw__nat__finite__1,axiom, % 199.45/199.82 ! [V_M_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 199.45/199.82 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_Cantor__Bernstein,axiom, % 199.45/199.82 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) % 199.45/199.82 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2)) % 199.45/199.82 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_ex__bij__betw__nat__finite,axiom, % 199.45/199.82 ! [V_M_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 199.45/199.82 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_ex__bij__betw__finite__nat,axiom, % 199.45/199.82 ! [V_M_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 199.45/199.82 => ? [B_h] : c_Fun_Obij__betw(T_b,tc_Nat_Onat,B_h,V_M_2,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_refl__on__UNION,axiom, % 199.45/199.82 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 199.45/199.82 ( ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 199.45/199.82 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 199.45/199.82 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bex__reg__eqv,axiom, % 199.45/199.82 ! [V_Pa_2,V_R_2,T_b] : % 199.45/199.82 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.45/199.82 => ( ? [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 199.45/199.82 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.45/199.82 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_in__respects,axiom, % 199.45/199.82 ! [V_R_2,V_x_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2))) % 199.45/199.82 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_Respects__def,axiom, % 199.45/199.82 ! [V_x_2,V_R_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2)) % 199.45/199.82 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_bex__reg__right,axiom, % 199.45/199.82 ! [V_Pa_2,V_Q_2,V_R_2,T_b] : % 199.45/199.82 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.45/199.82 => ( ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(V_Q_2,B_x)) % 199.45/199.82 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 199.45/199.82 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1)) % 199.45/199.82 => ? [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 199.45/199.82 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_babs__reg__eqv,axiom, % 199.45/199.82 ! [V_Pa_2,T_c,V_R_2,T_b] : % 199.45/199.82 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 199.45/199.82 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_Pa_2) = V_Pa_2 ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_Babs__def,axiom, % 199.45/199.82 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2)) % 199.45/199.82 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_wf__weak__decr__stable,axiom, % 199.45/199.82 ! [V_r_2,V_f_2,T_b] : % 199.45/199.82 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 199.45/199.82 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) % 199.45/199.82 => ? [B_i] : % 199.45/199.82 ! [B_k] : hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),B_k)) = hAPP(V_f_2,B_i) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_INT__greatest,axiom, % 199.45/199.82 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : % 199.45/199.82 ( ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(V_B_2,B_x))) ) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_INT__anti__mono,axiom, % 199.45/199.82 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 199.45/199.82 => ( ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_g_2))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_converse__rtranclE2,axiom, % 199.45/199.82 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) % 199.45/199.82 => ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2) != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2) % 199.45/199.82 => ~ ! [B_a,B_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),V_r_2)) % 199.45/199.82 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_rtrancl__induct2,axiom, % 199.45/199.82 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) % 199.45/199.82 => ( ! [B_a,B_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) % 199.45/199.82 => ! [B_aa,B_ba] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2)) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) % 199.45/199.82 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) ) % 199.45/199.82 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_converse__rtrancl__induct2,axiom, % 199.45/199.82 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) % 199.45/199.82 => ( ! [B_a,B_b,B_aa,B_ba] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2)) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) % 199.45/199.82 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) ) % 199.45/199.82 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_congruentI,axiom, % 199.45/199.82 ! [T_c,V_f_2,V_r_2,T_b] : % 199.45/199.82 ( ! [B_y,B_z] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2)) % 199.45/199.82 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) ) % 199.45/199.82 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_congruent2I_H,axiom, % 199.45/199.82 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] : % 199.45/199.82 ( ! [B_y1,B_z1] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y1),B_z1)),V_r1_2)) % 199.45/199.82 => ! [B_y2,B_z2] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y2),B_z2)),V_r2_2)) % 199.45/199.82 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) ) % 199.45/199.82 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact__03,axiom, % 199.45/199.82 ! [V_xqq,V_xq,T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(T_a),V_xq,V_xqq)) = c_Lazy__Sequence_Oappend(T_a,V_xq,c_Lazy__Sequence_Oflat(T_a,V_xqq)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_all__interval__nat__def,axiom, % 199.45/199.82 ! [V_j_2,V_i_2,V_Pa_2] : % 199.45/199.82 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) % 199.45/199.82 <=> ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2))) % 199.45/199.82 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact__04,axiom, % 199.45/199.82 ! [T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(T_a))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__all__iff__all__interval__nat,axiom, % 199.45/199.82 ! [V_j_2,V_i_2,V_Pa_2] : % 199.45/199.82 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2)) % 199.45/199.82 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_list__ex__iff__not__all__inverval__nat,axiom, % 199.45/199.82 ! [V_j_2,V_i_2,V_Pa_2] : % 199.45/199.82 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2)) % 199.45/199.82 <=> ~ c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact__05,axiom, % 199.45/199.82 ! [V_f_2,V_xq_2,T_b,T_c] : hAPP(c_Lazy__Sequence_Obind(T_c,T_b,V_xq_2),V_f_2) = c_Lazy__Sequence_Oflat(T_b,c_Lazy__Sequence_Omap(T_c,tc_Lazy__Sequence_Olazy__sequence(T_b),V_f_2,V_xq_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_folding__image_Ocong,axiom, % 199.45/199.82 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 199.45/199.82 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 199.45/199.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 199.45/199.82 => ( ! [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 199.45/199.82 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 199.45/199.82 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact__06,axiom, % 199.45/199.82 ! [V_xq_2,V_x_2,V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_x_2,V_xq_2)) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,hAPP(V_f_2,V_x_2),c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,V_xq_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact__07,axiom, % 199.45/199.82 ! [V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b) ). % 199.45/199.82 % 199.45/199.82 fof(fact_New__DSequence_Opos__map__def,axiom, % 199.45/199.82 ! [V_i_2,V_xq_2,V_f_2,T_b,T_c] : c_New__DSequence_Opos__map(T_c,T_b,V_f_2,V_xq_2,V_i_2) = c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,hAPP(V_xq_2,V_i_2)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_power__dvd__imp__le,axiom, % 199.45/199.82 ! [V_n,V_m,V_i] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i)) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd_Oorder__refl,axiom, % 199.45/199.82 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd__0__right,axiom, % 199.45/199.82 ! [V_a,T_a] : % 199.45/199.82 ( class_Rings_Ocomm__semiring__1(T_a) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd__1__left,axiom, % 199.45/199.82 ! [V_k] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k)) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd__imp__le,axiom, % 199.45/199.82 ! [V_n,V_k] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd__div__div__eq__mult,axiom, % 199.45/199.82 ! [V_d_2,V_ba_2,V_ca_2,V_a_2,T_b] : % 199.45/199.82 ( class_Divides_Osemiring__div(T_b) % 199.45/199.82 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.45/199.82 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_ba_2)) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_ca_2),V_d_2)) % 199.45/199.82 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_ba_2),V_a_2) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_d_2),V_ca_2) % 199.45/199.82 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_ca_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2) ) ) ) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd__div__eq__mult,axiom, % 199.45/199.82 ! [V_ca_2,V_ba_2,V_a_2,T_b] : % 199.45/199.82 ( class_Divides_Osemiring__div(T_b) % 199.45/199.82 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_ba_2)) % 199.45/199.82 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_ba_2),V_a_2) = V_ca_2 % 199.45/199.82 <=> V_ba_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2) ) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_unity__coeff__ex,axiom, % 199.45/199.82 ! [V_l_2,V_Pa_2,T_b] : % 199.45/199.82 ( ( class_Rings_Odvd(T_b) % 199.45/199.82 & class_Rings_Osemiring__0(T_b) ) % 199.45/199.82 => ( ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x))) % 199.45/199.82 <=> ? [B_x] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),c_Groups_Ozero__class_Ozero(T_b)))) % 199.45/199.82 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd__mult__cancel__left,axiom, % 199.45/199.82 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 199.45/199.82 ( class_Rings_Oidom(T_b) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_ba_2))) % 199.45/199.82 <=> ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.45/199.82 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_ba_2)) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd__mult__cancel__right,axiom, % 199.45/199.82 ! [V_ba_2,V_ca_2,V_a_2,T_b] : % 199.45/199.82 ( class_Rings_Oidom(T_b) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ba_2),V_ca_2))) % 199.45/199.82 <=> ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b) % 199.45/199.82 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_ba_2)) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd__triv__left,axiom, % 199.45/199.82 ! [V_b,V_a,T_a] : % 199.45/199.82 ( class_Rings_Ocomm__semiring__1(T_a) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd__triv__right,axiom, % 199.45/199.82 ! [V_b,V_a,T_a] : % 199.45/199.82 ( class_Rings_Ocomm__semiring__1(T_a) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd__mult2,axiom, % 199.45/199.82 ! [V_c,V_b,V_a,T_a] : % 199.45/199.82 ( class_Rings_Ocomm__semiring__1(T_a) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd__mult,axiom, % 199.45/199.82 ! [V_b,V_c,V_a,T_a] : % 199.45/199.82 ( class_Rings_Ocomm__semiring__1(T_a) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_mult__dvd__mono,axiom, % 199.45/199.82 ! [V_d,V_c,V_b,V_a,T_a] : % 199.45/199.82 ( class_Rings_Ocomm__semiring__1(T_a) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d)) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvdI,axiom, % 199.45/199.82 ! [V_k,V_b,V_a,T_a] : % 199.45/199.82 ( class_Rings_Odvd(T_a) % 199.45/199.82 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd__mult__left,axiom, % 199.45/199.82 ! [V_c,V_b,V_a,T_a] : % 199.45/199.82 ( class_Rings_Ocomm__semiring__1(T_a) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd__mult__right,axiom, % 199.45/199.82 ! [V_c,V_b,V_a,T_a] : % 199.45/199.82 ( class_Rings_Ocomm__semiring__1(T_a) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)) % 199.45/199.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_div__mult__div__if__dvd,axiom, % 199.45/199.82 ! [V_w,V_z,V_x,V_y,T_a] : % 199.45/199.82 ( class_Divides_Osemiring__div(T_a) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w)) % 199.45/199.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_w),V_z)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd__div__mult,axiom, % 199.45/199.82 ! [V_c,V_b,V_a,T_a] : % 199.45/199.82 ( class_Divides_Osemiring__div(T_a) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 199.45/199.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_c) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_a) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd__div__mult__self,axiom, % 199.45/199.82 ! [V_b,V_a,T_a] : % 199.45/199.82 ( class_Divides_Osemiring__div(T_a) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 199.45/199.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_a) = V_b ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_div__mult__swap,axiom, % 199.45/199.82 ! [V_a,V_b,V_c,T_a] : % 199.45/199.82 ( class_Divides_Osemiring__div(T_a) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b)) % 199.45/199.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd__mult__div__cancel,axiom, % 199.45/199.82 ! [V_b,V_a,T_a] : % 199.45/199.82 ( class_Divides_Osemiring__div(T_a) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 199.45/199.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)) = V_b ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_nat__mult__dvd__cancel__disj,axiom, % 199.45/199.82 ! [V_n_2,V_m_2,V_k_2] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))) % 199.45/199.82 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 199.45/199.82 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inf__period_I3_J,axiom, % 199.45/199.82 ! [V_t_2,V_D_2,V_d_2,T_b] : % 199.45/199.82 ( ( class_Rings_Ocomm__ring(T_b) % 199.45/199.82 & class_Rings_Odvd(T_b) ) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2)) % 199.45/199.82 => ! [B_x,B_k] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2))) % 199.45/199.82 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_inf__period_I4_J,axiom, % 199.45/199.82 ! [V_t_2,V_D_2,V_d_2,T_b] : % 199.45/199.82 ( ( class_Rings_Ocomm__ring(T_b) % 199.45/199.82 & class_Rings_Odvd(T_b) ) % 199.45/199.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2)) % 199.45/199.82 => ! [B_x,B_k] : % 199.45/199.82 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2))) % 199.45/199.82 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom, % 199.45/199.82 ! [V_ca_2,V_ba_2,V_a_2] : % 199.45/199.82 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_ba_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) % 199.45/199.82 <=> ( V_a_2 = V_ba_2 % 199.45/199.82 & V_ba_2 = V_ca_2 ) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd_OatLeastAtMost__singleton,axiom, % 199.45/199.82 ! [V_a_2] : c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom, % 199.45/199.82 ! [V_ba_2,V_a_2] : % 199.45/199.82 ( V_a_2 = V_ba_2 % 199.45/199.82 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_ba_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ). % 199.45/199.82 % 199.45/199.82 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom, % 199.45/199.82 ! [V_ba_2,V_a_2] : % 199.45/199.82 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_ba_2) % 199.45/199.82 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_ba_2)) % 199.45/199.82 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ba_2),V_a_2)) ) ) ). % 199.45/199.82 % 199.45/199.82 %----Arity declarations (223) % 199.45/199.82 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom, % 199.45/199.82 class_Lattices_Obounded__lattice(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Lattices_Obounded__lattice,axiom, % 199.45/199.82 ! [T_2,T_1] : % 199.45/199.82 ( class_Lattices_Obounded__lattice(T_1) % 199.45/199.82 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 199.45/199.82 ! [T_2,T_1] : % 199.45/199.82 ( class_Complete__Lattice_Ocomplete__lattice(T_1) % 199.45/199.82 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Lattices_Obounded__lattice__top,axiom, % 199.45/199.82 ! [T_2,T_1] : % 199.45/199.82 ( class_Lattices_Obounded__lattice(T_1) % 199.45/199.82 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom, % 199.45/199.82 ! [T_2,T_1] : % 199.45/199.82 ( class_Lattices_Obounded__lattice(T_1) % 199.45/199.82 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Lattices_Osemilattice__sup,axiom, % 199.45/199.82 ! [T_2,T_1] : % 199.45/199.82 ( class_Lattices_Olattice(T_1) % 199.45/199.82 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Lattices_Osemilattice__inf,axiom, % 199.45/199.82 ! [T_2,T_1] : % 199.45/199.82 ( class_Lattices_Olattice(T_1) % 199.45/199.82 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Lattices_Odistrib__lattice,axiom, % 199.45/199.82 ! [T_2,T_1] : % 199.45/199.82 ( class_Lattices_Odistrib__lattice(T_1) % 199.45/199.82 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 199.45/199.82 ! [T_2,T_1] : % 199.45/199.82 ( class_Lattices_Oboolean__algebra(T_1) % 199.45/199.82 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Orderings_Opreorder,axiom, % 199.45/199.82 ! [T_2,T_1] : % 199.45/199.82 ( class_Orderings_Opreorder(T_1) % 199.45/199.82 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Finite__Set_Ofinite,axiom, % 199.45/199.82 ! [T_1,T_2] : % 199.45/199.82 ( ( class_Finite__Set_Ofinite(T_2) % 199.45/199.82 & class_Finite__Set_Ofinite(T_1) ) % 199.45/199.82 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Lattices_Olattice,axiom, % 199.45/199.82 ! [T_2,T_1] : % 199.45/199.82 ( class_Lattices_Olattice(T_1) % 199.45/199.82 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Orderings_Oorder,axiom, % 199.45/199.82 ! [T_2,T_1] : % 199.45/199.82 ( class_Orderings_Oorder(T_1) % 199.45/199.82 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Orderings_Otop,axiom, % 199.45/199.82 ! [T_2,T_1] : % 199.45/199.82 ( class_Orderings_Otop(T_1) % 199.45/199.82 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Orderings_Oord,axiom, % 199.45/199.82 ! [T_2,T_1] : % 199.45/199.82 ( class_Orderings_Oord(T_1) % 199.45/199.82 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Orderings_Obot,axiom, % 199.45/199.82 ! [T_2,T_1] : % 199.45/199.82 ( class_Orderings_Obot(T_1) % 199.45/199.82 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Groups_Ouminus,axiom, % 199.45/199.82 ! [T_2,T_1] : % 199.45/199.82 ( class_Groups_Ouminus(T_1) % 199.45/199.82 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Groups_Ominus,axiom, % 199.45/199.82 ! [T_2,T_1] : % 199.45/199.82 ( class_Groups_Ominus(T_1) % 199.45/199.82 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_fun__Enum_Oenum,axiom, % 199.45/199.82 ! [T_1,T_2] : % 199.45/199.82 ( ( class_Enum_Oenum(T_2) % 199.45/199.82 & class_Enum_Oenum(T_1) ) % 199.45/199.82 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Com__Ocom__Nat_Osize,axiom, % 199.45/199.82 class_Nat_Osize(tc_Com_Ocom) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 199.45/199.82 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 199.45/199.82 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 199.45/199.82 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 199.45/199.82 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 199.45/199.82 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom, % 199.45/199.82 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 199.45/199.82 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 199.45/199.82 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 199.45/199.82 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 199.45/199.82 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 199.45/199.82 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 199.45/199.82 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 199.45/199.82 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 199.45/199.82 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 199.45/199.82 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 199.45/199.82 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 199.45/199.82 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 199.45/199.82 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 199.45/199.82 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 199.45/199.82 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 199.45/199.82 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 199.45/199.82 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom, % 199.45/199.82 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom, % 199.45/199.82 class_Lattices_Osemilattice__sup(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom, % 199.45/199.82 class_Lattices_Osemilattice__inf(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom, % 199.45/199.82 class_Lattices_Odistrib__lattice(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 199.45/199.82 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 199.45/199.82 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 199.45/199.82 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 199.45/199.82 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 199.45/199.82 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 199.45/199.82 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 199.45/199.82 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 199.45/199.82 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 199.45/199.82 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 199.45/199.82 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom, % 199.45/199.82 class_Groups_Osemigroup__add(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Divides_Osemiring__div,axiom, % 199.45/199.82 class_Divides_Osemiring__div(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 199.45/199.82 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom, % 199.45/199.82 class_Nat_Osemiring__char__0(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 199.45/199.82 class_Groups_Oab__group__add(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 199.45/199.82 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 199.45/199.82 class_Rings_Oordered__ring(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 199.45/199.82 class_Orderings_Opreorder(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 199.45/199.82 class_Orderings_Olinorder(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 199.45/199.82 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 199.45/199.82 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 199.45/199.82 class_Groups_Omonoid__add(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Osemiring__1,axiom, % 199.45/199.82 class_Rings_Osemiring__1(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 199.45/199.82 class_Rings_Osemiring__0(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Lattices_Olattice,axiom, % 199.45/199.82 class_Lattices_Olattice(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 199.45/199.82 class_Groups_Ogroup__add(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Divides_Oring__div,axiom, % 199.45/199.82 class_Divides_Oring__div(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 199.45/199.82 class_Rings_Omult__zero(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom, % 199.45/199.82 class_Rings_Ocomm__ring(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 199.45/199.82 class_Orderings_Oorder(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 199.45/199.82 class_Int_Oring__char__0(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Int_Onumber__ring,axiom, % 199.45/199.82 class_Int_Onumber__ring(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 199.45/199.82 class_Rings_Osemiring(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Orderings_Oord,axiom, % 199.45/199.82 class_Orderings_Oord(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 199.45/199.82 class_Groups_Ouminus(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 199.45/199.82 class_Groups_Osgn__if(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 199.45/199.82 class_Groups_Oabs__if(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 199.45/199.82 class_Rings_Oring__1(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Ominus,axiom, % 199.45/199.82 class_Groups_Ominus(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Power_Opower,axiom, % 199.45/199.82 class_Power_Opower(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Ozero,axiom, % 199.45/199.82 class_Groups_Ozero(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Oring,axiom, % 199.45/199.82 class_Rings_Oring(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Oidom,axiom, % 199.45/199.82 class_Rings_Oidom(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Int_Onumber,axiom, % 199.45/199.82 class_Int_Onumber(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Groups_Oone,axiom, % 199.45/199.82 class_Groups_Oone(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Int__Oint__Rings_Odvd,axiom, % 199.45/199.82 class_Rings_Odvd(tc_Int_Oint) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 199.45/199.82 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 199.45/199.82 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 199.45/199.82 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 199.45/199.82 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom, % 199.45/199.82 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 199.45/199.82 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 199.45/199.82 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 199.45/199.82 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 199.45/199.82 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 199.45/199.82 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 199.45/199.82 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 199.45/199.82 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 199.45/199.82 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 199.45/199.82 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom, % 199.45/199.82 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom, % 199.45/199.82 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom, % 199.45/199.82 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 199.45/199.82 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 199.45/199.82 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 199.45/199.82 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 199.45/199.82 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 199.45/199.82 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 199.45/199.82 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 199.45/199.82 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom, % 199.45/199.82 class_Groups_Osemigroup__add(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom, % 199.45/199.82 class_Divides_Osemiring__div(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 199.45/199.82 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Orderings_Owellorder,axiom, % 199.45/199.82 class_Orderings_Owellorder(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom, % 199.45/199.82 class_Nat_Osemiring__char__0(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 199.45/199.82 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 199.45/199.82 class_Orderings_Opreorder(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 199.45/199.82 class_Orderings_Olinorder(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 199.45/199.82 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 199.45/199.82 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom, % 199.45/199.82 class_Rings_Osemiring__1(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 199.45/199.82 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Lattices_Olattice,axiom, % 199.45/199.82 class_Lattices_Olattice(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 199.45/199.82 class_Rings_Omult__zero(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 199.45/199.82 class_Orderings_Oorder(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 199.45/199.82 class_Rings_Osemiring(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 199.45/199.82 class_Orderings_Oord(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Orderings_Obot,axiom, % 199.45/199.82 class_Orderings_Obot(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 199.45/199.82 class_Groups_Ominus(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Power_Opower,axiom, % 199.45/199.82 class_Power_Opower(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 199.45/199.82 class_Groups_Ozero(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Int_Onumber,axiom, % 199.45/199.82 class_Int_Onumber(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Groups_Oone,axiom, % 199.45/199.82 class_Groups_Oone(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Rings_Odvd,axiom, % 199.45/199.82 class_Rings_Odvd(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nat__Onat__Nat_Osize,axiom, % 199.45/199.82 class_Nat_Osize(tc_Nat_Onat) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom, % 199.45/199.82 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom, % 199.45/199.82 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom, % 199.45/199.82 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom, % 199.45/199.82 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom, % 199.45/199.82 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom, % 199.45/199.82 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 199.45/199.82 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 199.45/199.82 class_Orderings_Opreorder(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom, % 199.45/199.82 class_Finite__Set_Ofinite(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Lattices_Olattice,axiom, % 199.45/199.82 class_Lattices_Olattice(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 199.45/199.82 class_Orderings_Oorder(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Orderings_Otop,axiom, % 199.45/199.82 class_Orderings_Otop(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 199.45/199.82 class_Orderings_Oord(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Orderings_Obot,axiom, % 199.45/199.82 class_Orderings_Obot(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 199.45/199.82 class_Groups_Ouminus(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 199.45/199.82 class_Groups_Ominus(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Enum_Oenum,axiom, % 199.45/199.82 class_Enum_Oenum(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_HOL__Obool__Nat_Osize,axiom, % 199.45/199.82 class_Nat_Osize(tc_HOL_Obool) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Com__Ostate__Nat_Osize,axiom, % 199.45/199.82 class_Nat_Osize(tc_Com_Ostate) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Com__Ovname__Nat_Osize,axiom, % 199.45/199.82 class_Nat_Osize(tc_Com_Ovname) ). % 199.45/199.82 % 199.45/199.82 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom, % 199.45/199.82 ! [T_1] : % 199.45/199.82 ( class_Lazy__Sequence_Osmall__lazy(T_1) % 199.45/199.82 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_List__Olist__Nat_Osize,axiom, % 199.45/199.82 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ). % 199.45/199.82 % 199.45/199.82 fof(arity_sum__Finite__Set_Ofinite,axiom, % 199.45/199.82 ! [T_1,T_2] : % 199.45/199.82 ( ( class_Finite__Set_Ofinite(T_2) % 199.45/199.82 & class_Finite__Set_Ofinite(T_1) ) % 199.45/199.82 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_sum__Enum_Oenum,axiom, % 199.45/199.82 ! [T_1,T_2] : % 199.45/199.82 ( ( class_Enum_Oenum(T_2) % 199.45/199.82 & class_Enum_Oenum(T_1) ) % 199.45/199.82 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_sum__Nat_Osize,axiom, % 199.45/199.82 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom, % 199.45/199.82 ! [T_1] : % 199.45/199.82 ( class_Finite__Set_Ofinite(T_1) % 199.45/199.82 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Option__Ooption__Enum_Oenum,axiom, % 199.45/199.82 ! [T_1] : % 199.45/199.82 ( class_Enum_Oenum(T_1) % 199.45/199.82 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Option__Ooption__Nat_Osize,axiom, % 199.45/199.82 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom, % 199.45/199.82 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ). % 199.45/199.82 % 199.45/199.82 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom, % 199.45/199.82 ! [T_1,T_2] : % 199.45/199.82 ( ( class_Lazy__Sequence_Osmall__lazy(T_2) % 199.45/199.82 & class_Lazy__Sequence_Osmall__lazy(T_1) ) % 199.45/199.82 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_prod__Finite__Set_Ofinite,axiom, % 199.45/199.82 ! [T_1,T_2] : % 199.45/199.82 ( ( class_Finite__Set_Ofinite(T_2) % 199.45/199.82 & class_Finite__Set_Ofinite(T_1) ) % 199.45/199.82 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_prod__Enum_Oenum,axiom, % 199.45/199.82 ! [T_1,T_2] : % 199.45/199.82 ( ( class_Enum_Oenum(T_2) % 199.45/199.82 & class_Enum_Oenum(T_1) ) % 199.45/199.82 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ). % 199.45/199.82 % 199.45/199.82 fof(arity_prod__Nat_Osize,axiom, % 199.45/199.82 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom, % 199.45/199.82 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom, % 199.45/199.82 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom, % 199.45/199.82 class_Enum_Oenum(tc_Product__Type_Ounit) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Product____Type__Ounit__Nat_Osize,axiom, % 199.45/199.82 class_Nat_Osize(tc_Product__Type_Ounit) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom, % 199.45/199.82 class_Nat_Osize(tc_Code__Evaluation_Oterm) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom, % 199.45/199.82 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 199.45/199.82 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 199.45/199.82 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom, % 199.45/199.82 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom, % 199.45/199.82 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom, % 199.45/199.82 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom, % 199.45/199.82 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom, % 199.45/199.82 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom, % 199.45/199.82 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom, % 199.45/199.82 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom, % 199.45/199.82 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom, % 199.45/199.82 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom, % 199.45/199.82 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom, % 199.45/199.82 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom, % 199.45/199.82 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom, % 199.45/199.82 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom, % 199.45/199.82 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom, % 199.45/199.82 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom, % 199.45/199.82 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom, % 199.45/199.82 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom, % 199.45/199.82 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom, % 199.45/199.82 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom, % 199.45/199.82 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom, % 199.45/199.82 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom, % 199.45/199.82 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom, % 199.45/199.82 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom, % 199.45/199.82 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom, % 199.45/199.82 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom, % 199.45/199.82 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom, % 199.45/199.82 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom, % 199.45/199.82 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom, % 199.45/199.82 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom, % 199.45/199.82 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom, % 199.45/199.82 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom, % 199.45/199.82 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom, % 199.45/199.82 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom, % 199.45/199.82 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom, % 199.45/199.82 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom, % 199.45/199.82 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom, % 199.45/199.82 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom, % 199.45/199.82 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom, % 199.45/199.82 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom, % 199.45/199.82 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ). % 199.45/199.82 % 199.45/199.82 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom, % 199.45/199.82 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 199.45/199.82 % 199.45/199.82 %----Helper facts (20) % 199.45/199.82 fof(help_c__COMBI__1,axiom, % 199.45/199.82 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ). % 199.45/199.82 % 199.45/199.82 fof(help_c__COMBK__1,axiom, % 199.45/199.82 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ). % 199.45/199.82 % 199.45/199.82 fof(help_c__COMBB__1,axiom, % 199.45/199.82 ! [V_R_2,V_Q_2,V_Pa_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_Pa_2),V_Q_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Q_2,V_R_2)) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__COMBC__1,axiom, % 199.45/199.82 ! [V_R_2,V_Q_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_Pa_2),V_Q_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),V_Q_2) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__COMBS__1,axiom, % 199.45/199.82 ! [V_R_2,V_Q_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_Pa_2),V_Q_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Q_2,V_R_2)) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__fequal__1,axiom, % 199.45/199.82 ! [V_y_2,V_x_2] : % 199.45/199.82 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) % 199.45/199.82 | V_x_2 = V_y_2 ) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__fequal__2,axiom, % 199.45/199.82 ! [V_y_2,V_x_2] : % 199.45/199.82 ( V_x_2 != V_y_2 % 199.45/199.82 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__fFalse__1,axiom, % 199.45/199.82 ~ hBOOL(c_fFalse) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__fTrue__1,axiom, % 199.45/199.82 hBOOL(c_fTrue) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__fNot__1,axiom, % 199.45/199.82 ! [V_Pa_2] : % 199.45/199.82 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2)) % 199.45/199.82 | ~ hBOOL(V_Pa_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__fNot__2,axiom, % 199.45/199.82 ! [V_Pa_2] : % 199.45/199.82 ( ~ ~ hBOOL(V_Pa_2) % 199.45/199.82 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__fconj__1,axiom, % 199.45/199.82 ! [V_Q_2,V_Pa_2] : % 199.45/199.82 ( ~ hBOOL(V_Pa_2) % 199.45/199.82 | ~ hBOOL(V_Q_2) % 199.45/199.82 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__fconj__2,axiom, % 199.45/199.82 ! [V_Q_2,V_Pa_2] : % 199.45/199.82 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) % 199.45/199.82 | hBOOL(V_Pa_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__fconj__3,axiom, % 199.45/199.82 ! [V_Q_2,V_Pa_2] : % 199.45/199.82 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) % 199.45/199.82 | hBOOL(V_Q_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__fdisj__1,axiom, % 199.45/199.82 ! [V_Q_2,V_Pa_2] : % 199.45/199.82 ( ~ hBOOL(V_Pa_2) % 199.45/199.82 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__fdisj__2,axiom, % 199.45/199.82 ! [V_Pa_2,V_Q_2] : % 199.45/199.82 ( ~ hBOOL(V_Q_2) % 199.45/199.82 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__fdisj__3,axiom, % 199.45/199.82 ! [V_Q_2,V_Pa_2] : % 199.45/199.82 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) % 199.45/199.82 | hBOOL(V_Pa_2) % 199.45/199.82 | hBOOL(V_Q_2) ) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__fimplies__1,axiom, % 199.45/199.82 ! [V_Q_2,V_Pa_2] : % 199.45/199.82 ( hBOOL(V_Pa_2) % 199.45/199.82 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__fimplies__2,axiom, % 199.45/199.82 ! [V_Pa_2,V_Q_2] : % 199.45/199.82 ( ~ hBOOL(V_Q_2) % 199.45/199.82 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ). % 199.45/199.82 % 199.45/199.82 fof(help_c__fimplies__3,axiom, % 199.45/199.82 ! [V_Q_2,V_Pa_2] : % 199.45/199.82 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) % 199.45/199.82 | ~ hBOOL(V_Pa_2) % 199.45/199.82 | hBOOL(V_Q_2) ) ). % 199.45/199.82 % 199.45/199.82 %----Conjectures (2) % 199.45/199.82 fof(conj_0,hypothesis, % 199.45/199.82 c_Hoare__Mirabelle_Ohoare__valids(t_a,v_G,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,v_b)),v_c),v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ). % 199.45/199.82 % 199.45/199.82 fof(conj_1,conjecture, % 199.45/199.82 c_Hoare__Mirabelle_Ohoare__valids(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),c_Com_Ocom_OWhile(v_b,v_c)),c_Hoare__Mirabelle_Opeek__and(t_a,v_P,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),v_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ). % 199.45/199.82 % 199.45/199.82 %------------------------------------------------------------------------------ % 199.45/199.82 %------------------------------------------- % 199.45/199.82 % Proof found % 199.45/199.82 % SZS status Theorem for theBenchmark % 199.45/199.82 % SZS output start Proof % 199.45/199.83 %ClaNum:10518(EqnAxiom:3165) % 199.45/199.83 %VarNum:71287(SingletonVarNum:20676) % 199.45/199.83 %MaxLitNum:8 % 199.45/199.83 %MaxfuncDepth:13 % 199.45/199.83 %SharedTerms:1036 % 199.45/199.83 %goalClause: 4828 % 199.45/199.83 %singleGoalClaCount:1 % 199.45/199.83 [3169]P1(a923) % 199.45/199.83 [3170]P1(a928) % 199.45/199.83 [3171]P108(a190) % 199.45/199.83 [3172]P109(a923) % 199.45/199.83 [3173]P109(a928) % 199.45/199.83 [3174]P109(a1) % 199.45/199.83 [3175]P109(a102) % 199.45/199.83 [3176]P110(a928) % 199.45/199.83 [3177]P110(a1) % 199.45/199.83 [3178]P110(a102) % 199.45/199.83 [3179]P111(a923) % 199.45/199.83 [3180]P111(a928) % 199.45/199.83 [3181]P111(a1) % 199.45/199.83 [3182]P111(a102) % 199.45/199.83 [3183]P112(a923) % 199.45/199.83 [3184]P112(a928) % 199.45/199.83 [3185]P112(a1) % 199.45/199.83 [3186]P112(a102) % 199.45/199.83 [3187]P2(a923) % 199.45/199.83 [3188]P2(a928) % 199.45/199.83 [3189]P2(a1) % 199.45/199.83 [3190]P2(a102) % 199.45/199.83 [3191]P80(a1) % 199.45/199.83 [3192]P3(a1) % 199.45/199.83 [3193]P4(a923) % 199.45/199.83 [3194]P4(a931) % 199.45/199.83 [3195]P70(a928) % 199.45/199.83 [3196]P70(a1) % 199.45/199.83 [3197]P70(a102) % 199.45/199.83 [3198]P81(a928) % 199.45/199.83 [3199]P81(a1) % 199.45/199.83 [3200]P81(a102) % 199.45/199.83 [3201]P72(a928) % 199.45/199.83 [3202]P72(a1) % 199.45/199.83 [3203]P72(a102) % 199.45/199.83 [3204]P83(a928) % 199.45/199.83 [3205]P83(a1) % 199.45/199.83 [3206]P83(a102) % 199.45/199.83 [3207]P113(a928) % 199.45/199.83 [3208]P113(a1) % 199.45/199.83 [3209]P113(a102) % 199.45/199.83 [3210]P114(a928) % 199.45/199.83 [3211]P114(a1) % 199.45/199.83 [3212]P114(a102) % 199.45/199.83 [3213]P73(a928) % 199.45/199.83 [3214]P73(a1) % 199.45/199.83 [3215]P73(a102) % 199.45/199.83 [3216]P74(a928) % 199.45/199.83 [3217]P74(a1) % 199.45/199.83 [3218]P74(a102) % 199.45/199.83 [3219]P71(a928) % 199.45/199.83 [3220]P71(a1) % 199.45/199.83 [3221]P71(a102) % 199.45/199.83 [3222]P130(a928) % 199.45/199.83 [3223]P130(a1) % 199.45/199.83 [3224]P115(a928) % 199.45/199.83 [3225]P115(a1) % 199.45/199.83 [3226]P115(a102) % 199.45/199.83 [3227]P131(a928) % 199.45/199.83 [3228]P131(a1) % 199.45/199.83 [3229]P131(a102) % 199.45/199.83 [3230]P84(a928) % 199.45/199.83 [3231]P84(a1) % 199.45/199.83 [3232]P84(a102) % 199.45/199.83 [3233]P85(a928) % 199.45/199.83 [3234]P85(a1) % 199.45/199.83 [3235]P85(a102) % 199.45/199.83 [3236]P87(a928) % 199.45/199.83 [3237]P87(a1) % 199.45/199.83 [3238]P87(a102) % 199.45/199.83 [3239]P77(a1) % 199.45/199.83 [3240]P132(a1) % 199.45/199.83 [3241]P133(a1) % 199.45/199.83 [3242]P121(a1) % 199.45/199.83 [3243]P134(a1) % 199.45/199.83 [3244]P88(a928) % 199.45/199.83 [3245]P88(a1) % 199.45/199.83 [3246]P88(a102) % 199.45/199.83 [3247]P76(a928) % 199.45/199.83 [3248]P76(a1) % 199.45/199.83 [3249]P76(a102) % 199.45/199.83 [3250]P82(a928) % 199.45/199.83 [3251]P82(a1) % 199.45/199.83 [3252]P82(a102) % 199.45/199.83 [3253]P78(a1) % 199.45/199.83 [3254]P137(a928) % 199.45/199.83 [3255]P137(a1) % 199.45/199.83 [3256]P137(a102) % 199.45/199.83 [3257]P144(a1) % 199.45/199.83 [3258]P139(a928) % 199.45/199.83 [3259]P139(a1) % 199.45/199.83 [3260]P139(a102) % 199.45/199.83 [3261]P147(a928) % 199.45/199.83 [3262]P147(a1) % 199.45/199.83 [3263]P147(a102) % 199.45/199.83 [3264]P89(a928) % 199.45/199.83 [3265]P89(a1) % 199.45/199.83 [3266]P89(a102) % 199.45/199.83 [3267]P128(a1) % 199.45/199.83 [3268]P129(a1) % 199.45/199.83 [3269]P140(a928) % 199.45/199.83 [3270]P140(a1) % 199.45/199.83 [3271]P140(a102) % 199.45/199.83 [3272]P142(a928) % 199.45/199.83 [3273]P142(a1) % 199.45/199.83 [3274]P142(a102) % 199.45/199.83 [3275]P141(a928) % 199.45/199.83 [3276]P141(a1) % 199.45/199.83 [3277]P141(a102) % 199.45/199.83 [3278]P122(a928) % 199.45/199.83 [3279]P122(a1) % 199.45/199.83 [3280]P122(a102) % 199.45/199.83 [3281]P138(a928) % 199.45/199.83 [3282]P138(a1) % 199.45/199.83 [3283]P138(a102) % 199.45/199.83 [3284]P135(a928) % 199.45/199.83 [3285]P135(a1) % 199.45/199.83 [3286]P135(a102) % 199.45/199.83 [3287]P136(a1) % 199.45/199.83 [3288]P93(a1) % 199.45/199.83 [3289]P145(a1) % 199.45/199.83 [3290]P94(a928) % 199.45/199.83 [3291]P94(a1) % 199.45/199.83 [3292]P94(a102) % 199.45/199.83 [3293]P95(a1) % 199.45/199.83 [3294]P5(a923) % 199.45/199.83 [3295]P96(a928) % 199.45/199.83 [3296]P96(a1) % 199.45/199.83 [3297]P96(a102) % 199.45/199.83 [3298]P148(a928) % 199.45/199.83 [3299]P148(a1) % 199.45/199.83 [3300]P148(a102) % 199.45/199.83 [3301]P86(a1) % 199.45/199.83 [3302]P143(a1) % 199.45/199.83 [3303]P97(a923) % 199.45/199.83 [3304]P90(a923) % 199.45/199.83 [3305]P90(a1) % 199.45/199.83 [3306]P123(a1) % 199.45/199.83 [3307]P146(a1) % 199.45/199.83 [3308]P116(a1) % 199.45/199.83 [3309]P75(a1) % 199.45/199.83 [3310]P117(a928) % 199.45/199.83 [3311]P117(a1) % 199.45/199.83 [3312]P117(a102) % 199.45/199.83 [3313]P149(a928) % 199.45/199.83 [3314]P149(a1) % 199.45/199.83 [3315]P149(a102) % 199.45/199.83 [3316]P63(a928) % 199.45/199.83 [3317]P63(a1) % 199.45/199.83 [3318]P63(a102) % 199.45/199.83 [3319]P64(a1) % 199.45/199.83 [3320]P79(a928) % 199.45/199.83 [3321]P79(a1) % 199.45/199.83 [3322]P79(a102) % 199.45/199.83 [3323]P91(a1) % 199.45/199.83 [3324]P99(a923) % 199.45/199.83 [3325]P99(a928) % 199.45/199.83 [3326]P99(a1) % 199.45/199.83 [3327]P104(a923) % 199.45/199.83 [3328]P104(a928) % 199.45/199.83 [3329]P104(a1) % 199.45/199.83 [3330]P100(a923) % 199.45/199.83 [3331]P102(a923) % 199.45/199.83 [3332]P102(a928) % 199.45/199.83 [3333]P102(a1) % 199.45/199.83 [3334]P105(a923) % 199.45/199.83 [3335]P105(a928) % 199.45/199.83 [3336]P105(a1) % 199.45/199.83 [3337]P118(a923) % 199.45/199.83 [3338]P103(a923) % 199.45/199.83 [3339]P119(a928) % 199.45/199.83 [3340]P107(a923) % 199.45/199.83 [3341]P107(a924) % 199.45/199.83 [3342]P107(a928) % 199.45/199.83 [3343]P107(a926) % 199.45/199.83 [3344]P107(a925) % 199.45/199.83 [3345]P107(a102) % 199.45/199.83 [3346]P107(a931) % 199.45/199.83 [3347]P107(a326) % 199.45/199.83 [3348]P92(a928) % 199.45/199.83 [3349]P92(a1) % 199.45/199.83 [3350]P92(a102) % 199.45/199.83 [3351]P65(a923) % 199.45/199.83 [3352]P65(a931) % 199.45/199.83 [3353]P106(a1) % 199.45/199.83 [3354]P106(a931) % 199.45/199.83 [3355]P124(a928) % 199.45/199.83 [3356]P124(a1) % 199.45/199.83 [3357]P124(a102) % 199.45/199.83 [3358]P120(a1) % 199.45/199.83 [3359]P101(a923) % 199.45/199.83 [3375]P39(a928,a243) % 199.45/199.83 [3376]P39(a928,a320) % 199.45/199.83 [3377]P40(a928,a243) % 199.45/199.83 [4729]~E(a100,a85) % 199.45/199.83 [4730]~P108(a242) % 199.45/199.83 [3166]E(f2(a1),a85) % 199.45/199.83 [3167]E(f103(a102),a3) % 199.45/199.83 [3168]E(f23(a102),a24) % 199.45/199.83 [3360]E(f191(a928),f2(a928)) % 199.45/199.83 [3361]E(f29(a25),f2(a928)) % 199.45/199.83 [3362]E(f236(a928),f104(a928)) % 199.45/199.83 [3363]E(f237(a928),f113(a928)) % 199.45/199.83 [3364]E(f105(a1),f33(a1)) % 199.45/199.83 [3365]E(f86(a242),f2(a928)) % 199.45/199.83 [3366]E(f86(a190),f2(a928)) % 199.45/199.83 [3367]P6(f80(a1)) % 199.45/199.83 [3368]P6(f2(a1)) % 199.45/199.83 [3425]P39(f934(a928,a928),a34) % 199.45/199.83 [3771]E(f322(a928,a928,a243,a243),a34) % 199.45/199.83 [4731]~E(f80(a1),f2(a1)) % 199.45/199.83 [3369]E(f114(f2(a928)),f2(a928)) % 199.45/199.83 [3370]E(f4(f2(a102)),f2(a928)) % 199.45/199.83 [3379]E(f330(f81(a1),a85),a85) % 199.45/199.83 [3382]E(f330(a115,f2(a928)),f80(a928)) % 199.45/199.83 [3383]E(f330(a107,f80(a1)),f80(a928)) % 199.45/199.83 [3384]E(f330(a3,f80(a928)),f80(a102)) % 199.45/199.83 [3386]E(f330(a3,f2(a928)),f2(a102)) % 199.45/199.83 [3388]E(f330(f106(a1),a85),f2(a1)) % 199.45/199.83 [3389]E(f330(f106(a102),a85),f2(a102)) % 199.45/199.83 [3390]E(f330(a107,f2(a1)),f2(a928)) % 199.45/199.83 [3391]E(f330(f192(a923),a242),f2(a928)) % 199.45/199.83 [3392]E(f330(f192(a923),a190),f2(a928)) % 199.45/199.83 [3393]E(f330(f192(a925),a25),f2(a928)) % 199.45/199.83 [3394]E(f330(f106(a928),a85),f2(a928)) % 199.45/199.83 [3400]E(f330(f81(a1),f80(a1)),a100) % 199.45/199.83 [3408]E(f330(f192(a102),f2(a102)),f2(a928)) % 199.45/199.83 [3409]E(f330(f103(a1),f80(a928)),f80(a1)) % 199.45/199.83 [3410]E(f330(f103(a1),f2(a928)),f2(a1)) % 199.45/199.83 [3411]E(f330(f81(a1),f2(a1)),f2(a1)) % 199.45/199.83 [3421]E(f330(a107,f80(a1)),f330(a115,f2(a928))) % 199.45/199.83 [3423]E(f321(f934(a928,a928),a34),a35) % 199.45/199.83 [3424]E(f323(f934(a928,a928),a34),a70) % 199.45/199.83 [3451]E(f330(f285(a928),f2(a928)),f191(f935(a928,a923))) % 199.45/199.83 [3452]E(f330(f286(a928),f2(a928)),f245(f935(a928,a923))) % 199.45/199.83 [3461]P42(f191(f935(a1,a923))) % 199.45/199.83 [3495]E(f330(f330(f23(a102),f2(a102)),f80(a102)),f2(a102)) % 199.45/199.83 [3570]P108(f330(f330(f239(a1),a100),f2(a1))) % 199.45/199.83 [3594]P108(f330(f330(f238(a1),f2(a1)),f80(a1))) % 199.45/199.83 [3596]P108(f330(f330(f239(a1),f2(a1)),f80(a1))) % 199.45/199.83 [3802]E(f330(f330(f292(a928,a928,a928),a320),f310(a928,a320)),a243) % 199.45/199.83 [3841]P43(a1,a928,a107,f330(f238(a1),f2(a1))) % 199.45/199.83 [3845]E(f330(f330(f40(a928,f935(a928,a923)),f245(f935(a928,a923))),f285(a928)),f245(f935(a928,a923))) % 199.45/199.83 [3846]E(f330(f330(f40(a928,f935(a928,a923)),f245(f935(a928,a923))),f304(a928)),f245(f935(a928,a923))) % 199.45/199.83 [3847]E(f330(f330(f40(a928,f935(a928,a923)),f245(f935(a928,a923))),f286(a928)),f245(f935(a928,a923))) % 199.45/199.83 [3848]E(f330(f330(f41(a928,f935(a928,a923)),f245(f935(a928,a923))),f307(a928)),f191(f935(a928,a923))) % 199.45/199.83 [3864]P25(a928,a1,f103(a1),f245(f935(a928,a923))) % 199.45/199.83 [3878]P43(a928,a1,f103(a1),f330(f16(a923,a928),a190)) % 199.45/199.83 [4015]E(f330(f74(a928,a102,a1,a3),a107),f106(a102)) % 199.45/199.83 [4238]P59(a102,a928,a20,a3,f245(f935(a928,a923))) % 199.45/199.83 [4245]P59(a1,f935(f934(a928,a928),a923),a109,a91,a101) % 199.45/199.83 [4500]E(f261(a1,a1,a1,a1,f33(a1),f81(a1)),a52) % 199.45/199.83 [4752]~E(f330(f106(a1),a100),f330(f106(a1),a85)) % 199.45/199.83 [4753]~P108(f330(a196,f80(a1))) % 199.45/199.83 [4754]~P108(f330(a196,f2(a1))) % 199.45/199.83 [4795]~P108(f330(f330(f239(a1),a85),f2(a1))) % 199.45/199.83 [3443]E(f330(f330(f23(a1),a100),a100),a85) % 199.45/199.83 [3459]E(f330(f103(a1),f330(a115,f2(a928))),f80(a1)) % 199.45/199.83 [3524]E(f330(f36(a931),f245(f935(a931,a923))),f80(a928)) % 199.45/199.83 [3544]P108(f330(a196,f330(f106(a1),a100))) % 199.45/199.83 [3546]P108(f330(f330(f238(a1),a100),a85)) % 199.45/199.83 [3548]P108(f330(f330(f239(a1),a100),a85)) % 199.45/199.83 [3605]E(f330(f330(f312(a928),f2(a928)),f191(f935(a928,a923))),f330(f304(a928),f2(a928))) % 199.45/199.83 [3660]P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),a85))) % 199.45/199.83 [3672]E(f330(f313(a928,a928,a115),f245(f935(a928,a923))),f330(f307(a928),f2(a928))) % 199.45/199.83 [3709]P8(f934(a928,a928),f245(f935(f934(a928,a928),a923)),a111) % 199.45/199.83 [4022]E(f330(f74(a928,a1,a102,f103(a1)),a20),a22) % 199.45/199.83 [4083]P39(a928,f330(f265(f934(a928,a928)),f330(f260(a928,a928,a923),f239(a928)))) % 199.45/199.83 [4786]~P108(f330(a196,f330(f106(a1),a85))) % 199.45/199.83 [4787]~P108(f330(f330(f238(a1),a85),a100)) % 199.45/199.83 [4788]~P108(f330(f330(f239(a1),a85),a85)) % 199.45/199.83 [4789]~P108(f330(f330(f239(a1),a85),a100)) % 199.45/199.83 [4790]~P108(f330(f330(f239(a1),a100),a100)) % 199.45/199.83 [4801]~P108(f330(f62(a928),f245(f935(a928,a923)))) % 199.45/199.83 [4802]~P108(f330(f62(a1),f245(f935(a1,a923)))) % 199.45/199.83 [4469]P28(a922,a937,f330(f330(f312(f927(a922)),f330(f330(f330(f93(a922),f95(a922,a938,a939)),a940),a938)),f191(f935(f927(a922),a923)))) % 199.45/199.83 [4666]E(f330(f260(a1,a1,a923),f330(f330(f8(f935(a1,a923),f935(a1,a923),a1),f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f239(a1),f2(a1))))),f330(f330(f7(a1,a1,f935(a1,a923)),f330(f330(f8(f935(a1,f935(a1,a923)),f935(a1,f935(a1,a923)),a1),f7(a1,a1,a923)),f330(f330(f8(f935(a1,a1),f935(a1,f935(a1,a923)),a1),f330(f8(a1,f935(a1,a923),a1),a327)),a221))),f80(a1)))),a217) % 199.45/199.83 [4828]~P28(a922,a937,f330(f330(f312(f927(a922)),f330(f330(f330(f93(a922),a938),f30(a939,a940)),f95(a922,a938,f330(f74(a923,a923,a924,a325),a939)))),f191(f935(f927(a922),a923)))) % 199.45/199.83 [3746]E(f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100),f330(f81(a1),a100)) % 199.45/199.83 [3784]E(f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100),f330(f330(f23(a1),a85),a100)) % 199.45/199.83 [3948]E(f330(f330(f61(f934(a928,a928)),f245(f935(f934(a928,a928),a923))),a111),a101) % 199.45/199.83 [3977]E(f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f80(a1)) % 199.45/199.83 [3978]E(f330(f106(a102),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f80(a102)) % 199.45/199.83 [3979]E(f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f80(a928)) % 199.45/199.83 [3983]E(f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(a115,f2(a928))) % 199.45/199.83 [4367]E(f330(f330(f113(f935(f934(f934(a928,a928),f934(a928,a928)),a923)),a34),f310(f934(a928,a928),f191(f935(f934(f934(a928,a928),f934(a928,a928)),a923)))),a72) % 199.45/199.83 [4433]E(f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),f80(a928)),f2(a928))),f191(f935(f934(a928,a928),a923))))),f80(a1)) % 199.45/199.83 [4434]E(f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),f2(a928)),f2(a928))),f191(f935(f934(a928,a928),a923))))),f2(a1)) % 199.45/199.83 [4447]E(f330(f265(f934(a928,a928)),f330(f260(a928,a928,a923),f330(f330(f8(a928,f935(a928,a923),a928),f330(f7(a928,a928,a923),a327)),a115))),a320) % 199.45/199.83 [4419]E(f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),f330(a115,f330(a115,f2(a928)))) % 199.45/199.83 [4422]E(f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),f330(f330(f82(a928),f80(a928)),f80(a928))) % 199.45/199.83 [4423]E(f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),f330(f36(a923),f245(f935(a923,a923)))) % 199.45/199.83 [4487]P6(f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))) % 199.45/199.83 [4556]P27(f935(f934(a928,a928),a923),f330(f330(f255(f935(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),a923),f935(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),a923)),a35),a71)) % 199.45/199.83 [4557]P27(f935(f934(a928,a928),a923),f330(f330(f255(f935(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),a923),f935(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),a923)),a70),a73)) % 199.45/199.83 [4597]E(f330(f330(f113(f935(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),a923)),f323(f934(a928,a928),a72)),f330(f330(f312(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),f330(f330(f255(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),f191(f935(f934(a928,a928),a923))),f191(f935(f934(a928,a928),a923)))),f191(f935(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),a923)))),a73) % 199.45/199.83 [4598]E(f330(f330(f113(f935(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),a923)),f321(f934(a928,a928),a72)),f330(f330(f312(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),f330(f330(f255(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),f191(f935(f934(a928,a928),a923))),f191(f935(f934(a928,a928),a923)))),f191(f935(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),a923)))),a71) % 199.45/199.83 [4489]E(f330(a107,f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(a115,f330(a115,f2(a928)))) % 199.45/199.83 [4534]E(f330(f103(a1),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))) % 199.45/199.83 [4567]P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 199.45/199.83 [4568]E(f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100)),f330(a115,f330(a115,f330(a115,f2(a928))))) % 199.45/199.83 [4612]P6(f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))) % 199.45/199.83 [4638]E(f330(f103(a1),f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))),f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))) % 199.45/199.83 [4651]P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100)))) % 199.45/199.83 [3378]P7(x33781,a327) % 199.45/199.83 [3772]P25(a928,a928,a115,x37721) % 199.45/199.83 [3371]P107(f927(x33711)) % 199.45/199.83 [3372]P107(f932(x33721)) % 199.45/199.83 [3373]P107(f929(x33731)) % 199.45/199.83 [3374]P107(f930(x33741)) % 199.45/199.83 [3395]P39(a1,f108(x33951)) % 199.45/199.83 [3396]P39(a1,f110(x33961)) % 199.45/199.83 [3447]P39(f935(x34471,a923),f317(x34471)) % 199.45/199.83 [3448]P40(f935(x34481,a923),f317(x34481)) % 199.45/199.83 [3473]E(f246(x34731,x34731,a327),a327) % 199.45/199.83 [3488]E(f46(a1,x34881,x34881),f2(a1)) % 199.45/199.83 [3541]P14(x35411,f935(x35411,a923),f312(x35411)) % 199.45/199.83 [4733]~E(f330(a115,x47331),x47331) % 199.45/199.83 [4745]~E(f330(a115,x47451),f2(a928)) % 199.45/199.83 [3380]E(f330(f192(a928),x33801),x33801) % 199.45/199.83 [3381]E(f330(f106(a1),x33811),x33811) % 199.45/199.83 [3397]E(f330(a91,f331(x33971)),x33971) % 199.45/199.83 [3398]E(f330(a3,f576(x33981)),x33981) % 199.45/199.83 [3399]E(f244(x33991,f2(a102)),f2(a102)) % 199.45/199.83 [3412]E(f117(x34121,f116(x34121)),f116(x34121)) % 199.45/199.83 [3413]E(f155(x34131,f116(x34131)),f116(x34131)) % 199.45/199.83 [3418]E(f330(f170(x34181),f116(x34181)),f116(x34181)) % 199.45/199.83 [3419]E(f330(f174(x34191),f116(x34191)),f116(x34191)) % 199.45/199.83 [3420]E(f330(f171(x34201),f116(x34201)),f116(x34201)) % 199.45/199.83 [3426]E(f330(f106(a1),x34261),f330(f105(a1),x34261)) % 199.45/199.83 [3427]E(f330(a91,f330(a109,x34271)),x34271) % 199.45/199.83 [3429]E(f330(a3,f330(a20,x34291)),x34291) % 199.45/199.83 [3430]E(f330(a20,f330(a3,x34301)),x34301) % 199.45/199.83 [3432]P6(f330(f103(a1),x34321)) % 199.45/199.83 [3441]E(f330(f192(f929(x34411)),f116(x34411)),f2(a928)) % 199.45/199.83 [3442]E(f330(f192(f930(x34421)),f122(x34421)),f2(a928)) % 199.45/199.83 [3464]E(f330(f330(f23(a928),x34641),f2(a928)),x34641) % 199.45/199.83 [3465]E(f330(f330(f83(a928),x34651),f80(a928)),x34651) % 199.45/199.83 [3466]E(f330(f330(f83(a1),x34661),f80(a1)),x34661) % 199.45/199.83 [3467]E(f330(f330(f82(a928),x34671),f2(a928)),x34671) % 199.45/199.83 [3468]E(f330(f330(f82(a1),x34681),f2(a1)),x34681) % 199.45/199.83 [3469]E(f330(f330(f237(a928),x34691),f2(a928)),x34691) % 199.45/199.83 [3470]E(f330(f330(f83(a928),x34701),f2(a928)),f2(a928)) % 199.45/199.83 [3471]E(f330(f330(f37(a1),x34711),f2(a1)),f2(a1)) % 199.45/199.83 [3472]E(f330(f330(f236(a928),x34721),f2(a928)),f2(a928)) % 199.45/199.83 [3479]E(f330(f175(x34791),f116(x34791)),f191(f935(x34791,a923))) % 199.45/199.83 [3483]P108(f330(f140(x34831),f116(x34831))) % 199.45/199.83 [3489]E(f330(f157(x34891,x34891),f5(x34891)),f33(f929(x34891))) % 199.45/199.83 [3490]E(f330(f157(x34901,x34901),f33(x34901)),f33(f929(x34901))) % 199.45/199.83 [3491]E(f46(a1,x34911,f2(a1)),x34911) % 199.45/199.83 [3492]E(f330(f238(a928),f330(a115,x34921)),f330(f239(a928),x34921)) % 199.45/199.83 [3493]E(f330(f285(a928),f330(a115,x34931)),f330(f304(a928),x34931)) % 199.45/199.83 [3494]E(f330(f286(a928),f330(a115,x34941)),f330(f307(a928),x34941)) % 199.45/199.83 [3496]E(f46(a1,f2(a1),x34961),f2(a1)) % 199.45/199.83 [3509]E(f330(f330(f82(a928),x35091),f80(a928)),f330(a115,x35091)) % 199.45/199.83 [3518]E(f330(f305(a928,x35181),f2(a928)),f191(f935(a928,a923))) % 199.45/199.83 [3530]E(f306(a928,f2(a928),x35301),f330(f304(a928),x35301)) % 199.45/199.83 [3573]E(f330(f330(f23(a928),f330(a115,x35731)),f80(a928)),x35731) % 199.45/199.83 [3585]E(f48(f2(a1),x35851),f330(f330(f255(a1,a1),f2(a1)),f2(a1))) % 199.45/199.83 [3635]P108(f330(f330(f239(a928),x36351),f330(a115,x36351))) % 199.45/199.83 [3647]P108(f330(f330(f239(a928),f2(a928)),f330(a115,x36471))) % 199.45/199.83 [3877]E(f94(x38771,x38771,f245(f935(x38771,a923)),f33(x38771)),f33(x38771)) % 199.45/199.83 [3935]E(f330(f330(f23(a102),f330(a3,f330(a115,f330(a20,x39351)))),f80(a102)),x39351) % 199.45/199.83 [4006]P108(f330(f330(f238(a1),f330(f81(a1),f330(f103(a1),x40061))),f2(a1))) % 199.45/199.83 [4153]P108(f330(f330(f239(a1),f330(f81(a1),f330(f103(a1),f330(a115,x41531)))),f2(a1))) % 199.45/199.83 [4759]~E(f245(f935(x47591,a923)),f191(f935(x47591,a923))) % 199.45/199.83 [4798]~P108(f330(f330(f239(a928),x47981),f2(a928))) % 199.45/199.83 [4811]~P108(f330(f330(f239(a1),f330(f103(a1),x48111)),f2(a1))) % 199.45/199.83 [3431]E(f123(x34311,f122(f930(x34311))),f122(x34311)) % 199.45/199.83 [3446]E(f182(x34461,f116(f929(x34461))),f116(f929(x34461))) % 199.45/199.83 [3449]E(f330(f330(f83(a1),a85),x34491),a85) % 199.45/199.83 [3450]E(f330(f330(f82(a1),a85),x34501),x34501) % 199.45/199.83 [3453]E(f330(a107,f330(f103(a1),x34531)),x34531) % 199.45/199.83 [3454]E(f330(f330(f23(a1),x34541),a85),x34541) % 199.45/199.83 [3455]E(f330(f330(f82(a1),x34551),a85),x34551) % 199.45/199.83 [3458]E(f330(f330(f23(a928),x34581),x34581),f2(a928)) % 199.45/199.83 [3462]E(f330(f36(a928),f330(f285(a928),x34621)),x34621) % 199.45/199.83 [3463]E(f330(f81(a1),f330(f81(a1),x34631)),x34631) % 199.45/199.83 [3474]E(f330(f330(f83(a928),f80(a928)),x34741),x34741) % 199.45/199.83 [3475]E(f330(f330(f83(a1),f80(a1)),x34751),x34751) % 199.45/199.83 [3476]E(f330(f330(f82(a928),f2(a928)),x34761),x34761) % 199.45/199.83 [3477]E(f330(f330(f82(a1),f2(a1)),x34771),x34771) % 199.45/199.83 [3478]E(f330(f330(f237(a928),f2(a928)),x34781),x34781) % 199.45/199.83 [3484]E(f330(f330(f23(a928),f2(a928)),x34841),f2(a928)) % 199.45/199.83 [3485]E(f330(f330(f83(a928),f2(a928)),x34851),f2(a928)) % 199.45/199.83 [3486]E(f330(f330(f37(a1),f2(a1)),x34861),f2(a1)) % 199.45/199.83 [3487]E(f330(f330(f236(a928),f2(a928)),x34871),f2(a928)) % 199.45/199.83 [3497]E(f131(x34971,f330(f81(a1),x34971)),f135(a1,x34971)) % 199.45/199.83 [3502]E(f330(f305(a928,f2(a928)),x35021),f330(f285(a928),x35021)) % 199.45/199.83 [3503]E(f330(f330(f83(a1),a100),x35031),f330(f81(a1),x35031)) % 199.45/199.83 [3511]E(f330(a107,f330(f106(a1),x35111)),f330(f106(a928),x35111)) % 199.45/199.83 [3512]E(f330(a20,f330(f106(a102),x35121)),f330(f106(a928),x35121)) % 199.45/199.83 [3513]E(f330(f36(a928),f330(f304(a928),x35131)),f330(a115,x35131)) % 199.45/199.83 [3522]E(f330(f330(f82(a928),f80(a928)),x35221),f330(a115,x35221)) % 199.45/199.83 [3526]E(f330(f77(a1),f330(f103(a1),x35261)),f330(f103(a1),x35261)) % 199.45/199.83 [3527]E(f330(f105(a1),f330(f103(a1),x35271)),f330(f103(a1),x35271)) % 199.45/199.83 [3531]E(f330(f36(x35311),f191(f935(x35311,a923))),f2(a928)) % 199.45/199.83 [3533]E(f330(f330(f37(a928),x35331),f330(a115,f2(a928))),x35331) % 199.45/199.83 [3542]E(f46(a928,x35421,f330(a115,f2(a928))),f2(a928)) % 199.45/199.83 [3543]E(f46(a1,x35431,f330(f106(a1),a100)),f2(a1)) % 199.45/199.83 [3557]E(f330(f330(f37(a1),x35571),f330(f106(a1),a100)),f330(f81(a1),x35571)) % 199.45/199.83 [3561]E(f142(a928,f330(f305(a928,x35611),f2(a928))),f116(a928)) % 199.45/199.83 [3562]E(f330(f330(f82(a1),x35621),f80(a1)),f330(f330(f23(a1),x35621),a100)) % 199.45/199.83 [3563]E(f330(f330(f23(a1),x35631),f80(a1)),f330(f330(f82(a1),x35631),a100)) % 199.45/199.83 [3567]P108(f330(f330(f238(a928),x35671),x35671)) % 199.45/199.83 [3568]P108(f330(f330(f238(a1),x35681),x35681)) % 199.45/199.83 [3569]P108(f330(f330(f290(a928),x35691),x35691)) % 199.45/199.83 [3574]E(f330(f81(a1),f330(f106(a1),x35741)),f330(f106(a1),f330(f81(a1),x35741))) % 199.45/199.83 [3575]P108(f330(f62(a928),f330(f285(a928),x35751))) % 199.45/199.83 [3576]P108(f330(f62(a928),f330(f304(a928),x35761))) % 199.45/199.83 [3583]E(f164(x35831,f245(f935(x35831,a923))),f245(f935(f929(x35831),a923))) % 199.45/199.83 [3588]P108(f330(f330(f238(a928),f2(a928)),x35881)) % 199.45/199.83 [3598]E(f330(f330(f82(a928),f114(x35981)),f330(a115,f2(a928))),f114(f330(a115,x35981))) % 199.45/199.83 [3599]E(f330(f265(x35991),f330(f16(a923,x35991),a242)),f191(f935(x35991,a923))) % 199.45/199.83 [3600]E(f330(f265(x36001),f330(f16(a923,x36001),a190)),f245(f935(x36001,a923))) % 199.45/199.83 [3604]E(f330(f330(f312(a928),x36041),f330(f285(a928),x36041)),f330(f285(a928),f330(a115,x36041))) % 199.45/199.83 [3616]E(f330(f330(f82(a1),f80(a1)),f330(f103(a1),x36161)),f330(f103(a1),f330(a115,x36161))) % 199.45/199.83 [3618]E(f330(f330(f154(f929(x36181)),f116(x36181)),f116(f929(x36181))),f55(x36181,f116(x36181))) % 199.45/199.83 [3638]E(f191(f935(f934(x36381,x36381),a923)),f266(x36381,f191(f935(x36381,a923)))) % 199.45/199.83 [3639]E(f330(f311(x36391),f245(f935(x36391,a923))),f245(f935(f935(x36391,a923),a923))) % 199.45/199.83 [3640]E(f330(f81(f935(x36401,a923)),f191(f935(x36401,a923))),f245(f935(x36401,a923))) % 199.45/199.83 [3641]E(f330(f81(f935(x36411,a923)),f245(f935(x36411,a923))),f191(f935(x36411,a923))) % 199.45/199.83 [3643]P108(f330(f62(x36431),f191(f935(x36431,a923)))) % 199.45/199.83 [3645]E(f330(f305(a928,x36451),f330(a115,x36451)),f330(f330(f312(a928),x36451),f191(f935(a928,a923)))) % 199.45/199.83 [3646]E(f87(f934(a928,a928),f49(x36461,f2(a928))),f330(f330(f255(a928,a928),f2(a928)),x36461)) % 199.45/199.83 [3659]E(f330(f330(f312(a928),f330(a115,x36591)),f330(f304(a928),x36591)),f330(f304(a928),f330(a115,x36591))) % 199.45/199.83 [3663]P39(x36631,f191(f935(f934(x36631,x36631),a923))) % 199.45/199.83 [3664]P41(x36641,f191(f935(f934(x36641,x36641),a923))) % 199.45/199.83 [3667]P108(f330(f330(f238(a1),f2(a1)),f330(f103(a1),x36671))) % 199.45/199.83 [3674]E(f330(f330(f82(a928),f330(f192(a928),x36741)),f330(a115,f2(a928))),f330(f192(a928),f330(a115,x36741))) % 199.45/199.83 [3779]P42(f330(f313(a928,a1,f103(a1)),x37791)) % 199.45/199.83 [3817]P55(x38171,f191(f935(x38171,a923)),f191(f935(f934(x38171,x38171),a923))) % 199.45/199.83 [3837]E(f330(f330(f255(a1,a1),f330(f106(a1),a100)),f330(f330(f23(a1),x38371),f80(a1))),f51(f330(f106(a1),a100),x38371)) % 199.45/199.83 [3890]P62(x38901,f330(f16(f935(x38901,a923),x38901),f330(f16(a923,x38901),a242))) % 199.45/199.83 [3902]E(f293(a928,f290(a928),x39021,x39021),f330(f330(f312(a928),x39021),f191(f935(a928,a923)))) % 199.45/199.83 [4095]P108(f330(f330(f332(f935(f934(a928,a928),a923)),f331(x40951)),a101)) % 199.45/199.83 [4121]P108(f330(f330(f332(f935(f934(a928,a928),a923)),f330(a109,x41211)),a101)) % 199.45/199.83 [4254]P25(x42541,f935(x42541,a923),f330(f330(f7(x42541,f935(x42541,a923),f935(x42541,a923)),f312(x42541)),f191(f935(x42541,a923))),f245(f935(x42541,a923))) % 199.45/199.83 [4756]~E(f330(f330(f82(a1),x47561),x47561),a100) % 199.45/199.83 [4785]~E(f330(a3,f330(a115,f330(a20,x47851))),f2(a102)) % 199.45/199.83 [4791]~P108(f330(a196,f330(f103(a1),x47911))) % 199.45/199.83 [4794]~P108(f330(f330(f239(a928),x47941),x47941)) % 199.45/199.83 [4804]~P108(f330(f330(f238(a928),f330(a115,x48041)),x48041)) % 199.45/199.83 [3590]E(f330(a107,f330(f81(a1),f330(f103(a1),x35901))),f2(a928)) % 199.45/199.83 [3593]E(f330(f330(f82(a1),f330(f81(a1),x35931)),x35931),f2(a1)) % 199.45/199.83 [3597]E(f330(f36(a1),f330(f305(a1,f2(a1)),x35971)),f330(a107,x35971)) % 199.45/199.83 [3609]E(f330(f330(f247(a928),f330(a115,f2(a928))),x36091),f330(a115,f2(a928))) % 199.45/199.83 [3706]E(f330(f284(x37061),f191(f935(f934(x37061,x37061),a923))),f191(f935(x37061,a923))) % 199.45/199.83 [3714]E(f39(f935(x37141,a923),f191(f935(f935(x37141,a923),a923))),f245(f935(x37141,a923))) % 199.45/199.83 [3715]E(f39(f935(x37151,a923),f245(f935(f935(x37151,a923),a923))),f191(f935(x37151,a923))) % 199.45/199.83 [3716]E(f38(f935(x37161,a923),f191(f935(f935(x37161,a923),a923))),f191(f935(x37161,a923))) % 199.45/199.83 [3717]E(f38(f935(x37171,a923),f245(f935(f935(x37171,a923),a923))),f245(f935(x37171,a923))) % 199.45/199.83 [3721]P108(f330(f330(f290(a928),f330(a115,f2(a928))),x37211)) % 199.45/199.83 [3762]E(f330(f330(f312(f929(x37621)),f116(x37621)),f191(f935(f929(x37621),a923))),f164(x37621,f191(f935(x37621,a923)))) % 199.45/199.83 [3763]E(f330(f330(f312(f929(x37631)),f116(x37631)),f191(f935(f929(x37631),a923))),f165(x37631,f116(f935(x37631,a923)))) % 199.45/199.83 [3801]E(f330(f330(f82(a928),f4(x38011)),f330(a115,f2(a928))),f4(f330(a3,f330(a115,f330(a20,x38011))))) % 199.45/199.83 [3828]E(f330(f36(a1),f330(f313(a928,a1,f103(a1)),x38281)),f330(f36(a928),x38281)) % 199.45/199.83 [3829]P108(f330(f330(f238(a928),x38291),f330(f330(f83(a928),x38291),x38291))) % 199.45/199.83 [3868]E(f330(f313(a1,a928,a107),f306(a1,f2(a1),f330(f103(a1),x38681))),f330(f304(a928),x38681)) % 199.45/199.83 [3885]E(f330(f330(f37(a928),f330(a115,f2(a928))),f330(f106(a928),x38851)),f330(a107,f330(f330(f37(a1),f80(a1)),f330(f106(a1),x38851)))) % 199.45/199.83 [3887]E(f330(f175(a928),f142(a928,f330(f305(a928,f2(a928)),f330(a115,x38871)))),f330(f304(a928),x38871)) % 199.45/199.83 [3888]E(f330(f330(f82(a928),f330(f192(a102),x38881)),f330(a115,f2(a928))),f330(f192(a102),f330(a3,f330(a115,f330(a20,x38881))))) % 199.45/199.83 [3908]P41(x39081,f310(x39081,f191(f935(f934(x39081,x39081),a923)))) % 199.45/199.83 [3909]P54(x39091,f310(x39091,f191(f935(f934(x39091,x39091),a923)))) % 199.45/199.83 [3910]E(f330(f313(a1,a928,a107),f330(f313(a928,a1,f103(a1)),x39101)),x39101) % 199.45/199.83 [3941]E(f330(f330(f312(a928),f2(a928)),f330(f313(a928,a928,a115),f330(f285(a928),x39411))),f330(f285(a928),f330(a115,x39411))) % 199.45/199.83 [3947]P57(x39471,x39471,f310(x39471,f191(f935(f934(x39471,x39471),a923)))) % 199.45/199.83 [3953]P108(f330(a196,f330(f81(a1),f330(f103(a1),f330(a115,x39531))))) % 199.45/199.83 [3963]E(f330(f330(f23(f935(a928,a923)),f330(f286(a928),x39631)),f330(f330(f312(a928),x39631),f191(f935(a928,a923)))),f330(f286(a928),f330(a115,x39631))) % 199.45/199.83 [3980]E(f330(f330(f82(a1),f330(f330(f23(a1),a85),x39801)),f330(f330(f23(a1),a85),x39801)),f330(f330(f23(a1),a85),f330(f330(f82(a1),x39801),x39801))) % 199.45/199.83 [3995]E(f330(f330(f312(f935(x39951,a923)),f191(f935(x39951,a923))),f191(f935(f935(x39951,a923),a923))),f330(f311(x39951),f191(f935(x39951,a923)))) % 199.45/199.83 [4023]E(f330(f330(f23(f935(a928,a923)),f330(f307(a928),x40231)),f330(f330(f312(a928),f330(a115,x40231)),f191(f935(a928,a923)))),f330(f307(a928),f330(a115,x40231))) % 199.45/199.83 [4133]E(f330(f106(a928),f330(f330(f82(a1),x41331),x41331)),f330(f330(f88(a928,a928),f330(f106(a928),x41331)),f330(f330(f18(a928,a928,a928),f82(a928)),f5(a928)))) % 199.45/199.83 [4509]P14(x45091,f935(x45091,a923),f330(f330(f8(f935(x45091,a923),f935(f935(x45091,a923),f935(x45091,a923)),x45091),f330(f7(f935(x45091,a923),f935(x45091,a923),f935(x45091,a923)),f23(f935(x45091,a923)))),f330(f330(f7(x45091,f935(x45091,a923),f935(x45091,a923)),f312(x45091)),f191(f935(x45091,a923))))) % 199.45/199.83 [4596]E(f330(f265(f934(a1,a1)),f330(f260(a1,a1,a923),f330(f330(f8(f935(a1,a923),f935(a1,a923),a1),f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f238(a1),x45961)))),f239(a1)))),f110(x45961)) % 199.45/199.83 [4629]E(f330(f265(f934(a1,a1)),f330(f260(a1,a1,a923),f330(f330(f18(a1,f935(a1,a923),f935(a1,a923)),f330(f330(f8(f935(a923,a923),f935(f935(a1,a923),f935(a1,a923)),a1),f8(a923,a923,a1)),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f238(a1),x46291)))),f239(a1)))),f108(x46291)) % 199.45/199.83 [4682]E(f330(f265(f934(f935(x46821,a923),f935(x46821,a923))),f330(f260(f935(x46821,a923),f935(x46821,a923),a923),f330(f330(f7(f935(x46821,a923),f935(f935(x46821,a923),a923),f935(f935(x46821,a923),a923)),f330(f330(f8(f935(f935(x46821,a923),f935(a923,a923)),f935(f935(f935(x46821,a923),a923),f935(f935(x46821,a923),a923)),f935(x46821,a923)),f18(f935(x46821,a923),a923,a923)),f330(f330(f8(f935(f935(x46821,a923),a923),f935(f935(x46821,a923),f935(a923,a923)),f935(x46821,a923)),f330(f8(a923,f935(a923,a923),f935(x46821,a923)),a328)),f239(f935(x46821,a923))))),f62(x46821)))),f317(x46821)) % 199.45/199.83 [4808]~P108(f330(f62(f929(x48081)),f245(f935(f929(x48081),a923)))) % 199.45/199.83 [4820]~P108(f330(f330(f238(a1),f2(a1)),f330(f81(a1),f330(f103(a1),f330(a115,x48201))))) % 199.45/199.83 [3741]E(f330(f330(f23(a1),f330(f330(f82(a1),x37411),a100)),a100),x37411) % 199.45/199.83 [3755]E(f330(f175(a928),f142(a928,f330(f305(a928,f2(a928)),x37551))),f330(f285(a928),x37551)) % 199.45/199.83 [4002]E(f330(f330(f82(a1),f330(f330(f82(a1),f80(a1)),x40021)),x40021),f330(f330(f23(a1),f330(f330(f82(a1),x40021),x40021)),a100)) % 199.45/199.83 [4050]E(f330(f289(x40501,x40501),f310(x40501,f191(f935(f934(x40501,x40501),a923)))),f310(x40501,f191(f935(f934(x40501,x40501),a923)))) % 199.45/199.83 [4098]P108(f330(f330(f238(a928),x40981),f330(f330(f83(a928),x40981),f330(f330(f83(a928),x40981),x40981)))) % 199.45/199.83 [4371]P108(f330(f62(a928),f330(f265(a928),f330(f330(f7(a928,a928,a923),f238(a928)),x43711)))) % 199.45/199.83 [4372]P108(f330(f62(a928),f330(f265(a928),f330(f330(f7(a928,a928,a923),f239(a928)),x43721)))) % 199.45/199.83 [4645]E(f330(f265(f934(x46451,x46451)),f330(f330(f8(f935(x46451,a923),a923,f934(x46451,x46451)),f89(x46451)),f330(f330(f7(f934(x46451,x46451),f935(x46451,f934(x46451,x46451)),f935(x46451,a923)),f330(f330(f8(f935(f934(x46451,x46451),a923),f935(f935(x46451,f934(x46451,x46451)),f935(x46451,a923)),f934(x46451,x46451)),f8(f934(x46451,x46451),a923,x46451)),a327)),f330(f330(f18(x46451,x46451,f934(x46451,x46451)),f255(x46451,x46451)),f5(x46451))))),f310(x46451,f191(f935(f934(x46451,x46451),a923)))) % 199.45/199.83 [4810]~E(f330(f330(f23(a1),f330(f330(f82(a1),x48101),x48101)),a100),a85) % 199.45/199.83 [4812]~E(f330(f330(f82(a1),f330(f330(f82(a1),f80(a1)),x48121)),x48121),f2(a1)) % 199.45/199.83 [4144]E(f330(f330(f82(a1),f330(f330(f23(a1),a100),x41441)),f330(f330(f23(a1),a100),x41441)),f330(f330(f23(a1),a100),f330(f330(f23(a1),f330(f330(f82(a1),x41441),x41441)),a100))) % 199.45/199.83 [4262]E(f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),a100),x42621)),f330(f330(f23(a1),a100),x42621))),a100),f330(f330(f23(a1),a100),f330(f330(f82(a1),x42621),x42621))) % 199.45/199.83 [4294]E(f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f82(a1),x42941),a100)),f330(f330(f82(a1),x42941),a100))),a100),f330(f330(f82(a1),f330(f330(f82(a1),x42941),x42941)),a100)) % 199.45/199.83 [4332]E(f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),a100),x43321)),f330(f330(f23(a1),a100),x43321))),a100),f330(f330(f23(a1),a85),f330(f330(f23(a1),f330(f330(f82(a1),x43321),x43321)),a100))) % 199.45/199.83 [4429]E(f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x44291),f2(a928))),f191(f935(f934(a928,a928),a923))))),f330(f103(a1),x44291)) % 199.45/199.83 [4439]E(f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),f335(x44391)),f403(x44391))),f191(f935(f934(a928,a928),a923))))),x44391) % 199.45/199.83 [4473]E(f330(f265(a1),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f238(a1),f2(a1)))),x44731)),f330(f313(a928,a1,f103(a1)),f330(f265(a928),f330(f330(f8(a1,a923,a928),x44731),f103(a1))))) % 199.45/199.83 [4517]P42(f330(f265(a1),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f238(a1),f2(a1)))),x45171))) % 199.45/199.83 [4537]P108(f330(f330(f332(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),f330(f330(f255(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),x45371),f191(f935(f934(a928,a928),a923)))),a73)) % 199.45/199.83 [4542]E(f330(f313(a1,a928,a107),f330(f265(a1),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f238(a1),f2(a1)))),f330(f330(f8(a928,a923,a1),x45421),a107)))),f330(f265(a928),x45421)) % 199.45/199.83 [4697]E(f315(a928,f330(f330(f40(f934(a928,a928),f935(a928,a923)),f330(a109,x46971)),f330(f260(a928,a928,f935(a928,a923)),f330(f330(f7(a928,f935(a928,a923),f935(a928,f935(a928,a923))),f330(f330(f8(f935(a928,f935(f935(a928,a923),f935(a928,a923))),f935(f935(a928,a923),f935(a928,f935(a928,a923))),a928),f7(a928,f935(a928,a923),f935(a928,a923))),f330(f330(f8(f935(a928,a928),f935(a928,f935(f935(a928,a923),f935(a928,a923))),a928),f330(f8(a928,f935(f935(a928,a923),f935(a928,a923)),a928),f312(a928))),f23(a928)))),f191(f935(a928,a923)))))),f330(a107,x46971)) % 199.45/199.83 [4189]E(f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),x41891),x41891)),a100)),a100),f330(f330(f82(a1),x41891),x41891)) % 199.45/199.83 [4239]E(f330(f330(f23(a1),f330(f330(f23(a1),f330(f330(f82(a1),x42391),x42391)),a100)),a100),f330(f330(f82(a1),f330(f330(f23(a1),x42391),a100)),f330(f330(f23(a1),x42391),a100))) % 199.45/199.83 [4445]E(f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f82(a1),f330(f81(a1),x44451)),a100)),f330(f330(f82(a1),f330(f81(a1),x44451)),a100))),a100),f330(f81(a1),f330(f330(f23(a1),f330(f330(f82(a1),x44451),x44451)),a100))) % 199.45/199.83 [4490]E(f330(f330(f82(a928),x44901),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(a115,f330(a115,x44901))) % 199.45/199.83 [4491]E(f330(f330(f83(a928),x44911),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f82(a928),x44911),x44911)) % 199.45/199.83 [4492]E(f330(f330(f37(a928),f330(f330(f82(a928),x44921),x44921)),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x44921) % 199.45/199.83 [4570]E(f46(a928,f330(a115,f330(a115,x45701)),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f46(a928,x45701,f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 199.45/199.83 [4714]E(f330(a91,f330(f330(f40(f934(a928,a928),f935(f934(a928,a928),a923)),f330(a109,x47141)),f330(f260(a928,a928,f935(f934(a928,a928),a923)),f330(f330(f8(f935(a928,f935(f934(a928,a928),a923)),f935(a928,f935(f934(a928,a928),a923)),a928),f330(f8(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923),a928),f288(f934(a928,a928),f934(a928,a928),a111))),f330(f330(f7(a928,f935(f934(a928,a928),a923),f935(a928,f935(f934(a928,a928),a923))),f330(f330(f8(f935(a928,f935(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),f935(f935(f934(a928,a928),a923),f935(a928,f935(f934(a928,a928),a923))),a928),f7(a928,f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),f330(f330(f8(f935(a928,f934(a928,a928)),f935(a928,f935(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),a928),f330(f8(f934(a928,a928),f935(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),a928),f312(f934(a928,a928)))),f330(f7(a928,a928,f934(a928,a928)),f255(a928,a928))))),f191(f935(f934(a928,a928),a923))))))),f330(f81(a1),x47141)) % 199.45/199.83 [4565]E(f330(f330(f82(a928),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x45651),f330(a115,f330(a115,x45651))) % 199.45/199.83 [4566]E(f330(f330(f83(a928),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x45661),f330(f330(f82(a928),x45661),x45661)) % 199.45/199.83 [4602]E(f330(f330(f37(a928),f330(a115,f330(a115,x46021))),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(a115,f330(f330(f37(a928),x46021),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 199.45/199.83 [4652]E(f330(f330(f82(a928),f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))),x46521),f330(a115,f330(a115,f330(a115,x46521)))) % 199.45/199.83 [4727]E(f330(f260(a1,a1,f934(a1,a1)),f330(f330(f18(a1,f935(a1,f934(a1,a1)),f935(a1,f934(a1,a1))),f330(f330(f8(f935(a1,f935(f934(a1,a1),f934(a1,a1))),f935(f935(a1,f934(a1,a1)),f935(a1,f934(a1,a1))),a1),f18(a1,f934(a1,a1),f934(a1,a1))),f330(f330(f8(f935(a1,f934(a1,a1)),f935(a1,f935(f934(a1,a1),f934(a1,a1))),a1),f330(f18(a1,f934(a1,a1),f935(f934(a1,a1),f934(a1,a1))),f330(f330(f8(a923,f935(f934(a1,a1),f935(f934(a1,a1),f934(a1,a1))),a1),f99(f934(a1,a1))),f330(f330(f8(a1,a923,a1),f330(f238(a1),f2(a1))),f330(f330(f7(a1,a1,a1),f23(a1)),x47271))))),f330(f330(f7(a1,f935(a1,a1),f935(a1,f934(a1,a1))),f330(f330(f8(f935(a1,f934(a1,a1)),f935(f935(a1,a1),f935(a1,f934(a1,a1))),a1),f8(a1,f934(a1,a1),a1)),f330(f330(f8(a1,f935(a1,f934(a1,a1)),a1),f255(a1,a1)),f330(f330(f7(a1,a1,a1),f330(f330(f8(a1,f935(a1,a1),a1),f82(a1)),f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))),f80(a1))))),f330(f330(f7(a1,a1,a1),f23(a1)),x47271))))),f330(f330(f8(a1,f935(a1,f934(a1,a1)),a1),f255(a1,a1)),f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))))),f44(x47271)) % 199.45/199.83 [3415]P107(f934(x34151,x34152)) % 199.45/199.83 [3416]P107(f936(x34161,x34162)) % 199.45/199.83 [3417]P107(f933(x34171,x34172)) % 199.45/199.83 [3435]P13(a1,f181(x34351,x34352)) % 199.45/199.83 [3436]P39(x34361,f156(x34361,x34362)) % 199.45/199.83 [3437]P40(x34371,f266(x34371,x34372)) % 199.45/199.83 [3438]P40(x34381,f310(x34381,x34382)) % 199.45/199.83 [3439]P41(x34391,f266(x34391,x34392)) % 199.45/199.83 [3440]P54(x34401,f266(x34401,x34402)) % 199.45/199.83 [3504]P33(x35041,x35042,f116(x35041)) % 199.45/199.83 [3537]P55(x35371,x35372,f266(x35371,x35372)) % 199.45/199.83 [3538]P57(x35381,x35381,f266(x35381,x35382)) % 199.45/199.83 [3804]P25(x38041,x38041,f5(x38041),x38042) % 199.45/199.83 [3805]P25(x38051,x38051,f33(x38051),x38052) % 199.45/199.83 [3813]P34(x38131,x38132,f116(x38131),f116(x38131)) % 199.45/199.83 [3822]P25(f929(x38221),f929(x38221),f171(x38221),x38222) % 199.45/199.83 [4229]P26(x42291,x42291,f33(x42291),x42292,x42292) % 199.45/199.83 [4737]~E(f30(x47371,x47372),a25) % 199.45/199.83 [4738]~E(f31(x47381,x47382),a25) % 199.45/199.83 [4739]~E(f26(x47391,x47392),a25) % 199.45/199.83 [4768]~P35(x47681,x47682,f116(x47681)) % 199.45/199.83 [4769]~P37(x47691,x47692,f116(x47691)) % 199.45/199.83 [3401]E(f330(f265(x34011),x34012),x34012) % 199.45/199.83 [3402]E(f330(f5(x34021),x34022),x34022) % 199.45/199.83 [3404]E(f330(f33(x34041),x34042),x34042) % 199.45/199.83 [3414]E(f330(f194(x34141),x34142),f118(x34141)) % 199.45/199.83 [3422]E(f29(f26(x34221,x34222)),f2(a928)) % 199.45/199.83 [3433]E(f87(x34331,f330(a327,x34332)),x34332) % 199.45/199.83 [3434]E(f92(x34341,f330(a327,x34342)),x34342) % 199.45/199.83 [3456]E(f330(f192(a925),f26(x34561,x34562)),f2(a928)) % 199.45/199.83 [3457]E(f330(f128(x34571,x34572),f122(x34571)),f2(a928)) % 199.45/199.83 [3460]E(f330(f139(x34601,x34602),f116(x34601)),f116(x34601)) % 199.45/199.83 [3480]E(f310(x34801,f310(x34801,x34802)),f310(x34801,x34802)) % 199.45/199.83 [3481]E(f155(x34811,f155(x34811,x34812)),f155(x34811,x34812)) % 199.45/199.83 [3499]E(f330(f330(f137(x34991),x34992),f116(x34991)),x34992) % 199.45/199.83 [3505]E(f176(x35051,x35052,f116(x35051)),x35052) % 199.45/199.83 [3506]E(f119(x35061,f122(x35061),x35062),x35062) % 199.45/199.83 [3507]E(f176(x35071,f116(x35071),x35072),x35072) % 199.45/199.83 [3508]E(f172(x35081,f2(a928),x35082),f116(x35081)) % 199.45/199.83 [3514]E(f330(f330(f178(x35141),x35142),f116(x35141)),f116(x35141)) % 199.45/199.83 [3515]E(f330(f330(f141(x35151),x35152),f116(x35151)),f116(x35151)) % 199.45/199.83 [3517]E(f158(x35171,x35172,f116(x35171)),f2(a928)) % 199.45/199.83 [3519]E(f173(x35191,x35192,f116(x35191)),f116(x35191)) % 199.45/199.83 [3520]E(f180(x35201,x35202,f116(x35201)),f116(x35201)) % 199.45/199.83 [3521]E(f179(x35211,f116(x35211),x35212),f116(x35211)) % 199.45/199.83 [3525]E(f330(f175(x35251),f155(x35251,x35252)),f330(f175(x35251),x35252)) % 199.45/199.83 [3528]E(f330(f287(x35281,x35281),f266(x35281,x35282)),x35282) % 199.45/199.83 [3529]E(f330(f267(x35291,x35291),f266(x35291,x35292)),x35292) % 199.45/199.83 [3536]E(f330(f289(x35361,x35361),f266(x35361,x35362)),f266(x35361,x35362)) % 199.45/199.83 [3549]E(f310(f929(x35491),f160(x35491,x35492)),f161(x35491,f310(x35491,x35492))) % 199.45/199.83 [3551]P108(f330(f140(a1),f181(x35511,x35512))) % 199.45/199.83 [3559]E(f330(f287(x35591,x35591),f310(x35591,x35592)),f245(f935(x35591,a923))) % 199.45/199.83 [3560]E(f330(f267(x35601,x35601),f310(x35601,x35602)),f245(f935(x35601,a923))) % 199.45/199.83 [3564]P108(f330(f140(x35641),f155(x35641,x35642))) % 199.45/199.83 [3566]P108(f330(f163(x35661,x35662),f116(x35661))) % 199.45/199.83 [3572]E(f330(f175(a1),f181(x35721,x35722)),f306(a1,x35721,x35722)) % 199.45/199.83 [3586]P58(x35861,f191(f935(x35861,a923)),x35862) % 199.45/199.83 [3591]E(f330(f259(a1,a1),f47(x35911,x35912)),f46(a1,x35911,x35912)) % 199.45/199.83 [3592]E(f330(f305(a928,x35921),f330(a115,x35922)),f306(a928,x35921,x35922)) % 199.45/199.83 [3608]E(f330(f330(f154(x36081),x36082),f116(x36081)),f143(x36081,x36082,f116(x36081))) % 199.45/199.83 [3620]E(f306(a928,f330(a115,x36201),x36202),f308(a928,x36201,x36202)) % 199.45/199.83 [3623]P55(x36231,f245(f935(x36231,a923)),f310(x36231,x36232)) % 199.45/199.83 [3686]E(f330(f330(f23(a928),x36861),f330(a115,x36862)),f330(f36(a928),f309(a928,x36862,x36861))) % 199.45/199.83 [3742]E(f169(x37421,x37422,f116(x37421)),f330(f330(f255(f929(x37421),f929(x37421)),f116(x37421)),f116(x37421))) % 199.45/199.83 [3760]E(f330(f260(x37601,x37602,f934(x37601,x37602)),f255(x37601,x37602)),f33(f934(x37601,x37602))) % 199.45/199.83 [3764]P108(f330(f330(f332(f929(x37641)),f116(x37641)),f164(x37641,x37642))) % 199.45/199.83 [3765]E(f330(f192(f929(x37651)),f117(x37651,x37652)),f330(f330(f23(a928),f330(f192(f929(x37651)),x37652)),f80(a928))) % 199.45/199.83 [3773]P108(f330(f62(a928),f309(a928,x37731,x37732))) % 199.45/199.83 [3774]P108(f330(f62(a928),f308(a928,x37741,x37742))) % 199.45/199.83 [3775]P108(f330(f62(a928),f306(a928,x37751,x37752))) % 199.45/199.83 [3776]P108(f330(f62(a1),f309(a1,x37761,x37762))) % 199.45/199.83 [3777]P108(f330(f62(a1),f308(a1,x37771,x37772))) % 199.45/199.83 [3778]P108(f330(f62(a1),f306(a1,x37781,x37782))) % 199.45/199.83 [3884]E(f330(f313(a928,a928,a115),f306(a928,x38841,x38842)),f306(a928,f330(a115,x38841),f330(a115,x38842))) % 199.45/199.83 [3904]E(f330(f330(f292(x39041,x39041,x39041),f310(x39041,x39042)),f310(x39041,x39042)),f310(x39041,x39042)) % 199.45/199.83 [3939]E(f330(f330(f255(a1,a1),f330(f330(f37(a1),x39391),x39392)),f46(a1,x39391,x39392)),f47(x39391,x39392)) % 199.45/199.83 [3940]E(f330(f330(f255(a102,a102),f330(f330(f37(a102),x39401),x39402)),f46(a102,x39401,x39402)),f21(x39401,x39402)) % 199.45/199.83 [3967]E(f330(f330(f255(a928,a928),f330(f330(f37(a928),x39671),x39672)),f46(a928,x39671,x39672)),f87(f934(a928,a928),f49(x39671,x39672))) % 199.45/199.83 [4019]P108(f330(f330(f239(a928),f330(f330(f23(a928),x40191),x40192)),f330(a115,x40191))) % 199.45/199.83 [4069]P40(x40691,f330(f330(f292(x40691,x40691,x40691),x40692),f310(x40691,x40692))) % 199.45/199.83 [4120]E(f330(f330(f82(a1),f330(f330(f83(a1),x41201),f330(f330(f37(a1),x41202),x41201))),f46(a1,x41202,x41201)),x41202) % 199.45/199.83 [4124]E(f330(f330(f40(a928,f935(f934(f929(x41241),f929(x41241)),a923)),f245(f935(a928,a923))),f146(x41241,x41242)),f148(x41241,x41242)) % 199.45/199.83 [4348]P108(f330(f330(f332(f934(f929(x43481),f929(x43481))),f330(f330(f255(f929(x43481),f929(x43481)),f116(x43481)),f116(x43481))),f161(x43481,x43482))) % 199.45/199.83 [4457]E(f256(x44571,x44571,x44571,a327,f256(x44571,x44571,x44571,x44572,a327)),x44572) % 199.45/199.83 [4502]E(f261(x45021,x45021,x45022,x45022,f5(x45021),f5(x45022)),f33(f934(x45021,x45022))) % 199.45/199.83 [4504]E(f261(x45041,x45041,x45042,x45042,f33(x45041),f33(x45042)),f33(f934(x45041,x45042))) % 199.45/199.83 [3498]E(f330(f171(x34981),f330(f171(x34981),x34982)),x34982) % 199.45/199.83 [3500]E(f330(f330(f141(x35001),f2(a928)),x35002),x35002) % 199.45/199.83 [3516]E(f330(f330(f178(x35161),f2(a928)),x35162),f116(x35161)) % 199.45/199.83 [3523]E(f330(f330(f137(x35231),f116(x35231)),x35232),x35232) % 199.45/199.83 [3532]E(f38(f935(x35321,a923),f330(f311(x35321),x35322)),x35322) % 199.45/199.83 [3534]E(f330(f175(x35341),f330(f170(x35341),x35342)),f330(f175(x35341),x35342)) % 199.45/199.83 [3535]E(f330(f175(x35351),f330(f171(x35351),x35352)),f330(f175(x35351),x35352)) % 199.45/199.83 [3540]E(f330(f330(f23(a102),x35401),x35402),f330(f330(a24,x35401),x35402)) % 199.45/199.83 [3553]E(f330(f330(f83(a928),x35531),x35532),f330(f330(f83(a928),x35532),x35531)) % 199.45/199.83 [3554]E(f330(f330(f83(a1),x35541),x35542),f330(f330(f83(a1),x35542),x35541)) % 199.45/199.83 [3555]E(f330(f330(f82(a928),x35551),x35552),f330(f330(f82(a928),x35552),x35551)) % 199.45/199.83 [3556]E(f330(f330(f82(a1),x35561),x35562),f330(f330(f82(a1),x35562),x35561)) % 199.45/199.83 [3578]E(f330(f330(f186(x35781,x35781),f2(a928)),x35782),f33(x35781)) % 199.45/199.83 [3579]E(f330(f192(f929(x35791)),f330(f170(x35791),x35792)),f330(f192(f929(x35791)),x35792)) % 199.45/199.83 [3580]E(f330(f192(f929(x35801)),f330(f171(x35801),x35802)),f330(f192(f929(x35801)),x35802)) % 199.45/199.83 [3581]E(f179(x35811,x35812,f191(f935(a928,a923))),f116(x35811)) % 199.45/199.83 [3582]E(f330(f330(f157(x35821,x35821),f5(x35821)),x35822),x35822) % 199.45/199.83 [3584]E(f330(f254(a1,a1),f47(x35841,x35842)),f330(f330(f37(a1),x35841),x35842)) % 199.45/199.83 [3601]E(f330(f192(f929(x36011)),f155(x36011,x36012)),f330(f36(x36011),f330(f175(x36011),x36012))) % 199.45/199.83 [3602]E(f29(f30(x36021,x36022)),f330(f330(f82(a928),f29(x36022)),f330(a115,f2(a928)))) % 199.45/199.83 [3603]E(f330(f284(x36031),f330(f289(x36031,x36031),x36032)),f330(f284(x36031),x36032)) % 199.45/199.83 [3607]P108(f330(f62(x36071),f330(f175(x36071),x36072))) % 199.45/199.83 [3615]E(f330(f330(f82(a1),x36151),f330(f81(a1),x36152)),f330(f330(f23(a1),x36151),x36152)) % 199.45/199.83 [3622]P24(x36221,x36222,f191(f935(f927(x36221),a923))) % 199.45/199.83 [3624]E(f330(f313(x36241,x36241,f5(x36241)),x36242),x36242) % 199.45/199.83 [3625]E(f330(f313(x36251,x36251,f33(x36251)),x36252),x36252) % 199.45/199.83 [3626]E(f330(f314(x36261,x36261,f5(x36261)),x36262),x36262) % 199.45/199.83 [3627]E(f330(f314(x36271,x36271,f33(x36271)),x36272),x36272) % 199.45/199.83 [3628]P108(f330(f245(f935(x36281,a923)),x36282)) % 199.45/199.83 [3630]E(f330(f36(a928),f330(f305(a928,x36301),x36302)),f330(f330(f23(a928),x36302),x36301)) % 199.45/199.83 [3631]E(f330(f305(a928,f330(a115,x36311)),x36312),f309(a928,x36311,x36312)) % 199.45/199.83 [3644]E(f330(f330(f312(x36441),x36442),f191(f935(x36441,a923))),f330(f265(x36441),f330(a327,x36442))) % 199.45/199.83 [3649]E(f310(x36491,f330(f289(x36491,x36491),x36492)),f330(f289(x36491,x36491),f310(x36491,x36492))) % 199.45/199.83 [3654]E(f330(f330(f82(a928),f330(a115,x36541)),x36542),f330(f330(f82(a928),x36541),f330(a115,x36542))) % 199.45/199.83 [3655]E(f330(f330(f23(a928),f330(a115,x36551)),f330(a115,x36552)),f330(f330(f23(a928),x36551),x36552)) % 199.45/199.83 [3661]E(f56(x36611,f2(a928),x36612),f330(f330(f154(f929(x36611)),f116(x36611)),f116(f929(x36611)))) % 199.45/199.83 [3662]E(f330(f36(a928),f308(a928,x36621,x36622)),f330(f330(f23(a928),x36622),x36621)) % 199.45/199.83 [3671]P39(x36711,f330(f330(f291(a928,x36711),a243),x36712)) % 199.45/199.83 [3673]P13(a928,f142(a928,f330(f305(a928,x36731),x36732))) % 199.45/199.83 [3675]P108(f330(f62(a928),f330(f305(a928,x36751),x36752))) % 199.45/199.83 [3676]P108(f330(f62(a1),f330(f305(a1,x36761),x36762))) % 199.45/199.83 [3679]E(f330(f289(f929(x36791),f929(x36791)),f160(x36791,x36792)),f160(x36791,f330(f289(x36791,x36791),x36792))) % 199.45/199.83 [3680]E(f330(f192(a925),f30(x36801,x36802)),f330(f330(f82(a928),f330(f192(a925),x36802)),f330(a115,f2(a928)))) % 199.45/199.83 [3682]E(f330(f305(a1,x36821),f330(f330(f82(a1),x36822),f80(a1))),f306(a1,x36821,x36822)) % 199.45/199.83 [3685]E(f330(f330(f37(a1),f330(f81(a1),x36851)),f330(f81(a1),x36852)),f330(f330(f37(a1),x36851),x36852)) % 199.45/199.83 [3693]E(f330(f330(f186(f934(x36931,x36931),a923),f80(a928)),x36932),x36932) % 199.45/199.83 [3695]E(f330(f330(f23(f935(x36951,a923)),x36952),f191(f935(x36951,a923))),x36952) % 199.45/199.83 [3696]E(f330(f330(f104(f935(x36961,a923)),x36962),f245(f935(x36961,a923))),x36962) % 199.45/199.83 [3697]E(f330(f330(f113(f935(x36971,a923)),x36972),f191(f935(x36971,a923))),x36972) % 199.45/199.83 [3698]E(f330(f254(a928,a928),f87(f934(a928,a928),f49(x36981,x36982))),f330(f330(f37(a928),x36981),x36982)) % 199.45/199.83 [3705]E(f306(a1,f330(f330(f82(a1),x37051),f80(a1)),x37052),f308(a1,x37051,x37052)) % 199.45/199.83 [3710]E(f330(f259(a928,a928),f87(f934(a928,a928),f49(x37101,x37102))),f46(a928,x37101,x37102)) % 199.45/199.83 [3720]P108(f330(f330(f332(x37201),x37202),f245(f935(x37201,a923)))) % 199.45/199.83 [3725]E(f330(f330(f23(a928),f330(a115,x37251)),x37252),f330(f36(a928),f306(a928,x37252,x37251))) % 199.45/199.83 [3751]E(f330(f330(f23(f935(x37511,a923)),x37512),f245(f935(x37511,a923))),f191(f935(x37511,a923))) % 199.45/199.83 [3752]E(f330(f330(f104(f935(x37521,a923)),x37522),f191(f935(x37521,a923))),f191(f935(x37521,a923))) % 199.45/199.83 [3753]E(f330(f330(f113(f935(x37531,a923)),x37532),f245(f935(x37531,a923))),f245(f935(x37531,a923))) % 199.45/199.83 [3768]E(f46(a1,f330(f103(a1),x37681),f330(f103(a1),x37682)),f330(f103(a1),f46(a928,x37681,x37682))) % 199.45/199.83 [3769]E(f46(a1,f330(f81(a1),x37691),f330(f81(a1),x37692)),f330(f81(a1),f46(a1,x37691,x37692))) % 199.45/199.83 [3780]E(f330(f192(f929(x37801)),f330(f174(x37801),x37802)),f330(f330(f23(a928),f330(f192(f929(x37801)),x37802)),f80(a928))) % 199.45/199.83 [3806]E(f330(f330(f37(a1),f46(a1,x38061,x38062)),x38062),f2(a1)) % 199.45/199.83 [3815]E(f330(a3,f46(a928,f330(a20,x38151),f330(a20,x38152))),f46(a102,x38151,x38152)) % 199.45/199.83 [3850]E(f330(a3,f330(f330(f23(a928),f330(a20,x38501)),f330(a20,x38502))),f330(f330(f23(a102),x38501),x38502)) % 199.45/199.83 [3851]E(f330(a3,f330(f330(f83(a928),f330(a20,x38511)),f330(a20,x38512))),f330(f330(f83(a102),x38511),x38512)) % 199.45/199.83 [3852]E(f330(a3,f330(f330(f82(a928),f330(a20,x38521)),f330(a20,x38522))),f330(f330(f82(a102),x38521),x38522)) % 199.45/199.83 [3853]E(f330(a3,f330(f330(f37(a928),f330(a20,x38531)),f330(a20,x38532))),f330(f330(f37(a102),x38531),x38532)) % 199.45/199.83 [3862]E(f330(f313(a928,a928,a115),f330(f305(a928,x38621),x38622)),f330(f305(a928,f330(a115,x38621)),f330(a115,x38622))) % 199.45/199.83 [3889]P108(f330(f49(x38891,x38892),f87(f934(a928,a928),f49(x38891,x38892)))) % 199.45/199.83 [3913]E(f330(f330(f82(a928),f330(f330(f82(a928),f29(x39131)),f29(x39132))),f330(a115,f2(a928))),f29(f31(x39131,x39132))) % 199.45/199.83 [3914]E(f46(a928,f330(a115,f46(a928,x39141,x39142)),x39142),f46(a928,f330(a115,x39141),x39142)) % 199.45/199.83 [3926]E(f330(f330(f41(f935(x39261,a923),f935(x39261,a923)),x39262),f5(f935(x39261,a923))),f39(f935(x39261,a923),x39262)) % 199.45/199.83 [3927]E(f330(f330(f40(f935(x39271,a923),f935(x39271,a923)),x39272),f5(f935(x39271,a923))),f38(f935(x39271,a923),x39272)) % 199.45/199.83 [3928]E(f330(f313(f929(x39281),f935(x39281,a923),f175(x39281)),f330(f175(f929(x39281)),f55(x39281,x39282))),f330(f311(x39281),f330(f175(x39281),x39282))) % 199.45/199.83 [3932]P108(f330(f330(f332(f935(x39321,a923)),x39322),f330(f311(x39321),x39322))) % 199.45/199.83 [3938]E(f46(a1,f330(f81(a1),f46(a1,x39381,x39382)),x39382),f46(a1,f330(f81(a1),x39381),x39382)) % 199.45/199.83 [3949]P108(f330(f330(f238(f935(x39491,a923)),x39492),f245(f935(x39491,a923)))) % 199.45/199.83 [3951]E(f330(f330(f292(x39511,x39511,x39511),f310(x39511,x39512)),f310(x39511,f310(x39511,x39512))),f310(x39511,x39512)) % 199.45/199.83 [3952]E(f330(f330(f113(f935(x39521,a923)),f330(f267(x39521,x39521),x39522)),f330(f287(x39521,x39521),x39522)),f330(f284(x39521),x39522)) % 199.45/199.83 [3973]E(f316(x39731,x39732,f245(f935(x39731,a923)),f245(f935(x39732,a923))),f245(f935(f936(x39731,x39732),a923))) % 199.45/199.83 [4024]P108(f330(f330(f238(a928),f46(a928,x40241,x40242)),x40241)) % 199.45/199.83 [4048]P108(f330(f330(f238(a1),f330(f81(a1),f330(f103(a1),x40481))),f330(f103(a1),x40482))) % 199.45/199.83 [4074]P108(f330(f330(f332(f935(x40741,a923)),f191(f935(x40741,a923))),f330(f311(x40741),x40742))) % 199.45/199.83 [4079]E(f310(x40791,f330(f330(f292(x40791,x40791,x40791),x40792),f310(x40791,x40792))),f310(x40791,x40792)) % 199.45/199.83 [4082]E(f330(f330(f292(x40821,x40821,x40821),f310(x40821,x40822)),x40822),f330(f330(f292(x40821,x40821,x40821),x40822),f310(x40821,x40822))) % 199.45/199.83 [4084]E(f330(a107,f330(f330(f82(a1),f330(f330(f23(a1),x40841),x40842)),f80(a1))),f330(f36(a1),f306(a1,x40842,x40841))) % 199.45/199.83 [4099]E(f330(f287(x40991,x40991),f330(f330(f292(x40991,x40991,x40991),x40992),f310(x40991,x40992))),f330(f287(x40991,x40991),x40992)) % 199.45/199.83 [4100]E(f330(f267(x41001,x41001),f330(f330(f292(x41001,x41001,x41001),x41002),f310(x41001,x41002))),f330(f267(x41001,x41001),x41002)) % 199.45/199.83 [4116]E(f330(f330(f82(a928),f330(f330(f82(a928),f330(f192(a925),x41161)),f330(f192(a925),x41162))),f330(a115,f2(a928))),f330(f192(a925),f31(x41161,x41162))) % 199.45/199.83 [4119]E(f330(f145(f929(x41191),f929(x41191),f137(x41191),f116(x41191)),f172(f929(x41191),x41192,f116(x41191))),f116(x41191)) % 199.45/199.83 [4128]P25(a928,a928,f330(f330(f7(a928,a928,a928),f82(a928)),x41281),x41282) % 199.45/199.83 [4130]P13(a928,f330(f171(a928),f330(f330(f157(f929(x41301),a928),f192(f929(x41301))),f182(x41301,x41302)))) % 199.45/199.83 [4161]P54(x41611,f330(f330(f104(f935(f934(x41611,x41611),a923)),x41612),f330(f289(x41611,x41611),x41612))) % 199.45/199.83 [4162]P54(x41621,f330(f330(f113(f935(f934(x41621,x41621),a923)),x41622),f330(f289(x41621,x41621),x41622))) % 199.45/199.83 [4173]P108(f330(f330(f239(a1),f330(f81(a1),f330(f103(a1),f330(a115,x41731)))),f330(f103(a1),x41732))) % 199.45/199.83 [4218]E(f330(f145(f929(x42181),x42181,f330(f7(x42181,f929(x42181),f929(x42181)),f154(x42181)),f116(x42181)),x42182),f330(f171(x42181),x42182)) % 199.45/199.83 [4269]P108(f330(f330(f238(f935(f934(f929(x42691),f929(x42691)),a923)),f161(x42691,x42692)),f310(f929(x42691),f160(x42691,x42692)))) % 199.45/199.83 [4298]P108(f330(f49(x42981,x42982),f330(f330(f255(a928,a928),f330(f330(f37(a928),x42981),x42982)),f46(a928,x42981,x42982)))) % 199.45/199.83 [4310]P108(f330(f330(f238(f935(f934(f929(x43101),f929(x43101)),a923)),f160(x43101,f310(x43101,x43102))),f310(f929(x43101),f160(x43101,x43102)))) % 199.45/199.83 [4527]E(f330(f330(f262(f934(a102,a102),a102,f934(a102,a102),f934(x45271,f934(a102,a102))),f270(f330(f168(a102),f330(f330(f157(f934(a102,x45271),a102),f254(a102,x45271)),x45272)))),f330(f330(f8(x45271,f935(f934(a102,a102),f934(x45271,f934(a102,a102))),a102),f255(x45271,f934(a102,a102))),f271(x45271,x45272))),f269(x45271,x45272)) % 199.45/199.83 [4604]E(f227(a928,f934(x46041,f930(x46041)),f2(a928),f330(f260(x46041,f930(x46041),a928),f330(f16(f935(f930(x46041),a928),x46041),f330(f330(f7(f930(x46041),a928,a928),f330(f330(f8(a928,f935(a928,a928),f930(x46041)),f82(a928)),f192(f930(x46041)))),f80(a928)))),f330(f138(x46041),x46042)),f330(f192(f930(x46041)),x46042)) % 199.45/199.83 [4713]E(f330(f260(f935(f934(x47131,x47131),a923),f935(f934(x47131,x47131),a923),f935(f935(x47132,x47131),f934(f935(f934(x47132,x47132),a923),f935(f934(x47132,x47132),a923)))),f330(f330(f7(f935(f934(x47131,x47131),a923),f935(f935(f934(x47131,x47131),a923),f935(f935(x47132,x47131),f935(f934(x47132,x47132),a923))),f935(f935(f934(x47131,x47131),a923),f935(f935(x47132,x47131),f934(f935(f934(x47132,x47132),a923),f935(f934(x47132,x47132),a923))))),f330(f330(f8(f935(f935(f935(x47132,x47131),f935(f934(x47132,x47132),a923)),f935(f935(x47132,x47131),f934(f935(f934(x47132,x47132),a923),f935(f934(x47132,x47132),a923)))),f935(f935(f935(f934(x47131,x47131),a923),f935(f935(x47132,x47131),f935(f934(x47132,x47132),a923))),f935(f935(f934(x47131,x47131),a923),f935(f935(x47132,x47131),f934(f935(f934(x47132,x47132),a923),f935(f934(x47132,x47132),a923))))),f935(f934(x47131,x47131),a923)),f8(f935(f935(x47132,x47131),f935(f934(x47132,x47132),a923)),f935(f935(x47132,x47131),f934(f935(f934(x47132,x47132),a923),f935(f934(x47132,x47132),a923))),f935(f934(x47131,x47131),a923))),f330(f330(f8(f935(f935(x47132,x47131),f935(f935(f934(x47132,x47132),a923),f934(f935(f934(x47132,x47132),a923),f935(f934(x47132,x47132),a923)))),f935(f935(f935(x47132,x47131),f935(f934(x47132,x47132),a923)),f935(f935(x47132,x47131),f934(f935(f934(x47132,x47132),a923),f935(f934(x47132,x47132),a923)))),f935(f934(x47131,x47131),a923)),f18(f935(x47132,x47131),f935(f934(x47132,x47132),a923),f934(f935(f934(x47132,x47132),a923),f935(f934(x47132,x47132),a923)))),f330(f330(f8(f935(f935(x47132,x47131),f935(f934(x47132,x47132),a923)),f935(f935(x47132,x47131),f935(f935(f934(x47132,x47132),a923),f934(f935(f934(x47132,x47132),a923),f935(f934(x47132,x47132),a923)))),f935(f934(x47131,x47131),a923)),f330(f8(f935(f934(x47132,x47132),a923),f935(f935(f934(x47132,x47132),a923),f934(f935(f934(x47132,x47132),a923),f935(f934(x47132,x47132),a923))),f935(x47132,x47131)),f255(f935(f934(x47132,x47132),a923),f935(f934(x47132,x47132),a923)))),f291(x47131,x47132))))),f291(x47131,x47132))),f75(x47131,x47132)) % 199.45/199.83 [4792]~E(f330(f311(x47921),x47922),f191(f935(f935(x47921,a923),a923))) % 199.45/199.83 [4803]~P108(f330(f330(f175(x48031),f116(x48031)),x48032)) % 199.45/199.83 [4807]~P108(f330(f330(f332(x48071),x48072),f191(f935(x48071,a923)))) % 199.45/199.83 [4815]~P108(f330(f330(f239(f935(x48151,a923)),x48152),f191(f935(x48151,a923)))) % 199.45/199.83 [3633]E(f330(f330(f23(a928),x36331),f330(f330(f82(a928),x36331),x36332)),f2(a928)) % 199.45/199.83 [3636]E(f330(f330(f104(f935(x36361,a923)),x36362),x36362),x36362) % 199.45/199.83 [3637]E(f330(f330(f113(f935(x36371,a923)),x36372),x36372),x36372) % 199.45/199.83 [3665]E(f330(f330(f23(f935(x36651,a923)),x36652),x36652),f191(f935(x36651,a923))) % 199.45/199.83 [3668]E(f330(f146(x36681,x36682),f2(a928)),f191(f935(f934(f929(x36681),f929(x36681)),a923))) % 199.45/199.83 [3669]E(f330(f330(f82(a928),x36691),f330(a115,x36692)),f330(a115,f330(f330(f82(a928),x36691),x36692))) % 199.45/199.83 [3681]E(f197(f330(f103(a1),x36811),f330(f103(a1),x36812)),f330(f103(a1),f330(f330(f23(a928),x36811),x36812))) % 199.45/199.83 [3684]E(f330(f330(f37(a1),f330(f81(a1),x36841)),x36842),f330(f330(f37(a1),x36841),f330(f81(a1),x36842))) % 199.45/199.83 [3688]E(f330(f36(a1),f330(f305(a1,x36881),x36882)),f330(a107,f330(f330(f23(a1),x36882),x36881))) % 199.45/199.83 [3691]E(f330(f330(f82(a928),f330(a115,x36911)),x36912),f330(a115,f330(f330(f82(a928),x36911),x36912))) % 199.45/199.83 [3694]E(f330(f81(f935(x36941,a923)),f330(f81(f935(x36941,a923)),x36942)),x36942) % 199.45/199.83 [3707]E(f182(x37071,f330(f330(f154(f929(x37071)),f116(x37071)),x37072)),f182(x37071,x37072)) % 199.45/199.83 [3711]E(f330(f330(f82(a928),x37111),f330(f330(f83(a928),x37111),x37112)),f330(f330(f83(a928),x37111),f330(a115,x37112))) % 199.45/199.83 [3718]E(f330(f330(a24,f330(a3,x37181)),f330(a3,x37182)),f330(a3,f330(f330(f23(a928),x37181),x37182))) % 199.45/199.83 [3733]E(f330(f330(f83(a1),f330(f81(a1),x37331)),x37332),f330(f81(a1),f330(f330(f83(a1),x37331),x37332))) % 199.45/199.83 [3735]E(f330(f330(f247(a1),f330(f103(a1),x37351)),x37352),f330(f103(a1),f330(f330(f247(a928),x37351),x37352))) % 199.45/199.83 [3736]E(f330(f330(f83(a102),f330(a3,x37361)),f330(a3,x37362)),f330(a3,f330(f330(f83(a928),x37361),x37362))) % 199.45/199.83 [3737]E(f330(f330(f82(a102),f330(a3,x37371)),f330(a3,x37372)),f330(a3,f330(f330(f82(a928),x37371),x37372))) % 199.45/199.83 [3738]E(f330(f330(f236(a928),f330(a115,x37381)),f330(a115,x37382)),f330(a115,f330(f330(f236(a928),x37381),x37382))) % 199.45/199.83 [3739]E(f330(f330(f237(a928),f330(a115,x37391)),f330(a115,x37392)),f330(a115,f330(f330(f237(a928),x37391),x37392))) % 199.45/199.83 [3744]E(f330(f175(a928),f142(a928,f330(f305(a928,x37441),x37442))),f330(f305(a928,x37441),x37442)) % 199.45/199.83 [3745]E(f315(x37451,f330(f330(f312(x37451),x37452),f191(f935(x37451,a923)))),x37452) % 199.45/199.83 [3749]E(f330(f287(x37491,x37492),f191(f935(f934(x37491,x37492),a923))),f191(f935(x37492,a923))) % 199.45/199.83 [3750]E(f330(f267(x37501,x37502),f191(f935(f934(x37501,x37502),a923))),f191(f935(x37501,a923))) % 199.45/199.83 [3754]E(f330(a107,f330(f330(f23(a1),x37541),x37542)),f330(f36(a1),f308(a1,x37542,x37541))) % 199.45/199.83 [3759]E(f330(f330(f82(a928),x37591),f330(f330(f83(a928),x37592),x37591)),f330(f330(f83(a928),f330(a115,x37592)),x37591)) % 199.45/199.83 [3761]E(f330(f330(f61(x37611),f191(f935(x37611,a923))),x37612),f191(f935(f935(x37611,a923),a923))) % 199.45/199.83 [3770]E(f330(f192(f929(a928)),f142(a928,f330(f305(a928,x37701),x37702))),f330(f330(f23(a928),x37702),x37701)) % 199.45/199.83 [3785]E(f330(f330(f104(f935(x37851,a923)),f245(f935(x37851,a923))),x37852),x37852) % 199.45/199.83 [3786]E(f330(f330(f113(f935(x37861,a923)),f191(f935(x37861,a923))),x37862),x37862) % 199.45/199.83 [3789]E(f330(f330(f82(a1),f330(f81(a1),x37891)),f330(f81(a1),x37892)),f330(f81(a1),f330(f330(f82(a1),x37891),x37892))) % 199.45/199.83 [3791]E(f330(f330(f83(a1),f330(f106(a1),x37911)),f330(f106(a1),x37912)),f330(f106(a1),f330(f330(f83(a1),x37911),x37912))) % 199.45/199.83 [3793]E(f330(f330(f83(a1),f330(f103(a1),x37931)),f330(f103(a1),x37932)),f330(f103(a1),f330(f330(f83(a928),x37931),x37932))) % 199.45/199.83 [3794]E(f330(f330(f82(a1),f330(f106(a1),x37941)),f330(f106(a1),x37942)),f330(f106(a1),f330(f330(f82(a1),x37941),x37942))) % 199.45/199.83 [3796]E(f330(f330(f82(a1),f330(f103(a1),x37961)),f330(f103(a1),x37962)),f330(f103(a1),f330(f330(f82(a928),x37961),x37962))) % 199.45/199.83 [3797]E(f330(f330(f37(a1),f330(f103(a1),x37971)),f330(f103(a1),x37972)),f330(f103(a1),f330(f330(f37(a928),x37971),x37972))) % 199.45/199.83 [3816]E(f330(f330(f6(x38161,a928),f330(f16(a928,x38161),f80(a928))),x38162),f330(f36(x38161),x38162)) % 199.45/199.83 [3823]E(f330(f81(a1),f46(a1,f330(f81(a1),x38231),x38232)),f46(a1,x38231,f330(f81(a1),x38232))) % 199.45/199.83 [3825]E(f330(f175(a1),f181(x38251,f330(f330(f23(a1),x38252),f80(a1)))),f330(f305(a1,x38251),x38252)) % 199.45/199.83 [3830]P108(f330(f330(f238(a928),x38301),f330(f330(f82(a928),x38302),x38301))) % 199.45/199.83 [3831]P108(f330(f330(f238(a928),x38311),f330(f330(f82(a928),x38311),x38312))) % 199.45/199.83 [3833]E(f330(f330(f23(f935(x38331,a923)),f191(f935(x38331,a923))),x38332),f191(f935(x38331,a923))) % 199.45/199.83 [3834]E(f330(f330(f104(f935(x38341,a923)),f191(f935(x38341,a923))),x38342),f191(f935(x38341,a923))) % 199.45/199.83 [3835]E(f330(f330(f113(f935(x38351,a923)),f245(f935(x38351,a923))),x38352),f245(f935(x38351,a923))) % 199.45/199.83 [3842]E(f330(f330(f255(a1,a1),x38421),f330(f81(a1),x38422)),f330(a52,f330(f330(f255(a1,a1),x38421),x38422))) % 199.45/199.83 [3843]E(f330(f305(a1,f330(f330(f82(a1),x38431),f80(a1))),x38432),f309(a1,x38431,x38432)) % 199.45/199.83 [3854]E(f330(f330(f83(a928),x38541),f330(f330(f37(a928),x38542),x38541)),f330(f330(f23(a928),x38542),f46(a928,x38542,x38541))) % 199.45/199.83 [3855]E(f330(f330(f83(a1),x38551),f330(f330(f37(a1),x38552),x38551)),f330(f330(f23(a1),x38552),f46(a1,x38552,x38551))) % 199.45/199.83 [3859]E(f330(f175(a1),f181(f330(f330(f82(a1),x38591),f80(a1)),x38592)),f308(a1,x38591,x38592)) % 199.45/199.83 [3863]P108(f330(f330(f238(f935(x38631,a923)),x38632),x38632)) % 199.45/199.83 [3866]E(f330(f330(f104(f935(x38661,a923)),x38662),f330(f81(f935(x38661,a923)),x38662)),f191(f935(x38661,a923))) % 199.45/199.83 [3867]E(f330(f330(f113(f935(x38671,a923)),x38672),f330(f81(f935(x38671,a923)),x38672)),f245(f935(x38671,a923))) % 199.45/199.83 [3875]E(f330(f330(f23(a928),f330(f330(f23(a928),x38751),f80(a928))),x38752),f330(f330(f23(a928),x38751),f330(a115,x38752))) % 199.45/199.83 [3881]E(f330(f330(f23(f935(x38811,a923)),f245(f935(x38811,a923))),x38812),f330(f81(f935(x38811,a923)),x38812)) % 199.45/199.83 [3882]E(f330(f330(f23(a1),f330(f106(a1),x38821)),f330(f106(a1),x38822)),f330(f106(a1),f330(f330(f82(a1),x38821),f330(f81(a1),x38822)))) % 199.45/199.83 [3895]E(f330(f175(a928),f142(a928,f330(f305(a928,x38951),f330(a115,x38952)))),f306(a928,x38951,x38952)) % 199.45/199.83 [3911]E(f330(f192(f929(f929(x39111))),f55(x39111,x39112)),f330(f330(f247(a928),f330(a115,f330(a115,f2(a928)))),f330(f192(f929(x39111)),x39112))) % 199.45/199.83 [3930]E(f330(f330(f186(f934(x39301,x39301),a923),f2(a928)),x39302),f310(x39301,f191(f935(f934(x39301,x39301),a923)))) % 199.45/199.83 [3934]P108(f330(f140(a928),f142(a928,f330(f305(a928,x39341),x39342)))) % 199.45/199.83 [3950]E(f330(f313(a1,a928,a107),f306(a1,f330(f103(a1),x39501),f330(f103(a1),x39502))),f306(a928,x39501,x39502)) % 199.45/199.83 [3959]E(f188(a928,f2(a928),f5(a928),f330(f330(f23(a928),x39591),x39592)),f330(f330(f23(a928),x39591),f330(a115,x39592))) % 199.45/199.83 [3960]E(f330(a107,f330(f330(f23(a1),x39601),f330(f330(f82(a1),x39602),f80(a1)))),f330(f36(a1),f309(a1,x39602,x39601))) % 199.45/199.83 [3996]E(f330(f330(f157(a928,a928),a115),f142(a928,f330(f305(a928,x39961),x39962))),f142(a928,f330(f305(a928,f330(a115,x39961)),f330(a115,x39962)))) % 199.45/199.83 [4004]E(f330(f175(a1),f181(f330(f330(f82(a1),x40041),f80(a1)),f330(f330(f23(a1),x40042),f80(a1)))),f309(a1,x40041,x40042)) % 199.45/199.83 [4016]P108(f330(f330(f238(f935(x40161,a923)),f191(f935(x40161,a923))),x40162)) % 199.45/199.83 [4020]E(f87(x40201,f330(f330(f7(x40201,x40201,a923),a327),x40202)),x40202) % 199.45/199.83 [4021]E(f92(x40211,f330(f330(f7(x40211,x40211,a923),a327),x40212)),x40212) % 199.45/199.83 [4025]E(f330(f175(a928),f142(a928,f330(f305(a928,f330(a115,x40251)),f330(a115,x40252)))),f308(a928,x40251,x40252)) % 199.45/199.83 [4051]E(f330(f330(f257(x40511,x40512),f245(f935(x40511,a923))),f330(f16(f935(x40512,a923),x40511),f245(f935(x40512,a923)))),f245(f935(f934(x40511,x40512),a923))) % 199.45/199.83 [4086]E(f330(f265(x40861),f330(f330(f8(a923,a923,x40861),a325),x40862)),f330(f81(f935(x40861,a923)),f330(f265(x40861),x40862))) % 199.45/199.83 [4089]E(f330(f265(x40891),f330(f330(f7(x40891,x40891,a923),a327),x40892)),f330(f330(f312(x40891),x40892),f191(f935(x40891,a923)))) % 199.45/199.83 [4096]E(f330(f330(f82(a1),f330(f330(f23(a1),x40961),x40962)),f330(f330(f23(a1),x40961),x40962)),f330(f330(f23(a1),f330(f330(f82(a1),x40961),x40961)),f330(f330(f82(a1),x40962),x40962))) % 199.45/199.83 [4097]E(f330(f330(f82(a1),f330(f330(f82(a1),x40971),x40971)),f330(f330(f82(a1),x40972),x40972)),f330(f330(f82(a1),f330(f330(f82(a1),x40971),x40972)),f330(f330(f82(a1),x40971),x40972))) % 199.45/199.83 [4113]P108(f330(f330(f238(a928),f330(f36(x41131),f330(f175(x41131),x41132))),f330(f192(f929(x41131)),x41132))) % 199.45/199.83 [4114]P108(f330(f330(f238(a928),f330(f192(f929(x41141)),f155(x41141,x41142))),f330(f192(f929(x41141)),x41142))) % 199.45/199.83 [4125]E(f330(f265(x41251),f330(f330(f7(x41251,f935(x41251,a923),a923),f332(x41251)),x41252)),x41252) % 199.45/199.83 [4139]E(f330(f330(f178(x41391),f330(f330(f23(a928),f330(f192(f929(x41391)),x41392)),f80(a928))),x41392),f117(x41391,x41392)) % 199.45/199.83 [4160]E(f188(a928,f2(a928),f330(f330(f8(a928,a928,a928),a115),f330(f236(a928),x41601)),x41602),f330(f330(f236(a928),f330(a115,x41601)),x41602)) % 199.45/199.83 [4165]E(f38(f935(x41651,a923),f330(f313(f935(f934(x41651,x41651),a923),f935(x41651,a923),f284(x41651)),x41652)),f330(f284(x41651),f38(f935(f934(x41651,x41651),a923),x41652))) % 199.45/199.83 [4166]E(f188(a928,f330(a115,x41661),f330(f330(f8(a928,a928,a928),a115),f330(f237(a928),x41661)),x41662),f330(f330(f237(a928),f330(a115,x41661)),x41662)) % 199.45/199.83 [4168]E(f330(f330(f255(a1,a1),f330(f330(f37(a1),f330(f77(a1),x41681)),f330(f77(a1),x41682))),f46(a1,f330(f77(a1),x41681),f330(f77(a1),x41682))),f54(x41681,x41682)) % 199.45/199.83 [4191]P108(f330(f330(f238(f935(f935(x41911,a923),a923)),x41912),f330(f311(x41911),f38(f935(x41911,a923),x41912)))) % 199.45/199.83 [4223]E(f330(f330(f40(x42231,f935(x42231,a923)),x42232),f330(f330(f7(x42231,f935(x42231,a923),f935(x42231,a923)),f312(x42231)),f191(f935(x42231,a923)))),x42232) % 199.45/199.83 [4224]E(f330(f330(f292(x42241,x42241,x42241),f330(f289(x42241,x42241),x42242)),f310(x42241,f330(f289(x42241,x42241),x42242))),f330(f289(x42241,x42241),f330(f330(f292(x42241,x42241,x42241),x42242),f310(x42241,x42242)))) % 199.45/199.83 [4290]E(f330(f175(x42901),f330(f145(f929(x42901),f929(x42901),f137(x42901),f116(x42901)),x42902)),f330(f330(f40(f929(x42901),f935(x42901,a923)),f330(f175(f929(x42901)),x42902)),f175(x42901))) % 199.45/199.83 [4321]E(f330(f330(f113(f935(f934(x43211,x43211),a923)),f310(x43211,f191(f935(f934(x43211,x43211),a923)))),f330(f330(f292(x43211,x43211,x43211),f310(x43211,x43212)),x43212)),f310(x43211,x43212)) % 199.45/199.83 [4357]E(f330(f330(f184(x43571,x43571),x43572),x43572),f330(f330(f157(x43571,f934(x43571,x43571)),f330(f330(f18(x43571,x43571,f934(x43571,x43571)),f255(x43571,x43571)),f5(x43571))),x43572)) % 199.45/199.83 [4468]E(f330(f145(a928,f929(x44681),f330(f7(f929(x44681),a928,a928),f330(f330(f8(a928,f935(a928,a928),f929(x44681)),f237(a928)),f192(f929(x44681)))),f2(a928)),f330(f171(f929(x44681)),x44682)),f330(f192(f929(f929(x44681))),f182(x44681,x44682))) % 199.45/199.83 [4541]E(f330(f330(f291(f934(a928,f929(x45411)),f929(x45411)),f322(a928,f929(x45411),a243,f148(x45411,x45412))),f330(f330(f18(f929(x45411),f929(x45411),f934(a928,f929(x45411))),f330(f330(f8(a928,f935(f929(x45411),f934(a928,f929(x45411))),f929(x45411)),f255(a928,f929(x45411))),f192(f929(x45411)))),f5(f929(x45411)))),f149(x45411,x45412)) % 199.45/199.83 [4668]E(f330(f265(x46681),f330(f330(f8(f935(f935(x46681,a923),a923),a923,x46681),f90(f935(x46681,a923))),f330(f330(f8(f935(f935(x46681,a923),a923),f935(f935(x46681,a923),a923),x46681),f330(f18(f935(x46681,a923),a923,a923),f330(f330(f8(a923,f935(a923,a923),f935(x46681,a923)),a333),f330(f330(f7(f935(x46681,a923),f935(f935(x46681,a923),a923),a923),f332(f935(x46681,a923))),x46682)))),f332(x46681)))),f39(f935(x46681,a923),x46682)) % 199.45/199.83 [4669]E(f330(f265(x46691),f330(f330(f8(f935(f935(x46691,a923),a923),a923,x46691),f89(f935(x46691,a923))),f330(f330(f8(f935(f935(x46691,a923),a923),f935(f935(x46691,a923),a923),x46691),f330(f18(f935(x46691,a923),a923,a923),f330(f330(f8(a923,f935(a923,a923),f935(x46691,a923)),a328),f330(f330(f7(f935(x46691,a923),f935(f935(x46691,a923),a923),a923),f332(f935(x46691,a923))),x46692)))),f332(x46691)))),f38(f935(x46691,a923),x46692)) % 199.45/199.83 [4816]~P108(f330(f330(f239(a1),f330(f103(a1),x48161)),f330(f81(a1),f330(f103(a1),x48162)))) % 199.45/199.83 [3757]E(f330(f330(f23(a928),f330(f330(f82(a928),x37571),x37572)),x37572),x37571) % 199.45/199.83 [3758]E(f330(f330(f23(a928),f330(f330(f82(a928),x37581),x37582)),x37581),x37582) % 199.45/199.83 [3824]E(f330(f330(f82(a928),f330(f330(f23(a928),x38241),x38242)),x38242),f330(f330(f237(a928),x38241),x38242)) % 199.45/199.83 [3937]E(f330(f330(f83(a928),f330(f330(f37(a928),x39371),x39372)),x39372),f330(f330(f23(a928),x39371),f46(a928,x39371,x39372))) % 199.45/199.83 [3964]E(f330(f175(a928),f142(a928,f330(f305(a928,f330(a115,x39641)),x39642))),f309(a928,x39641,x39642)) % 199.45/199.83 [3972]E(f330(f103(a1),f220(f330(a107,f330(f77(a1),x39721)),f330(a107,f330(f77(a1),x39722)))),f330(f330(a221,x39721),x39722)) % 199.45/199.83 [3974]E(f330(f330(f104(f935(x39741,a923)),f330(f81(f935(x39741,a923)),x39742)),x39742),f191(f935(x39741,a923))) % 199.45/199.83 [3975]E(f330(f330(f113(f935(x39751,a923)),f330(f81(f935(x39751,a923)),x39752)),x39752),f245(f935(x39751,a923))) % 199.45/199.83 [3992]P108(f330(f330(f238(a928),f330(f330(f23(a928),x39921),x39922)),x39921)) % 199.45/199.83 [3993]P108(f330(f330(f238(a928),f330(f330(f37(a928),x39931),x39932)),x39931)) % 199.45/199.83 [4017]P108(f330(f330(f239(a928),x40171),f330(a115,f330(f330(f82(a928),x40172),x40171)))) % 199.45/199.83 [4018]P108(f330(f330(f239(a928),x40181),f330(a115,f330(f330(f82(a928),x40181),x40182)))) % 199.45/199.83 [4035]E(f330(f330(f83(a928),f330(a107,f330(f77(a1),x40351))),f330(a107,f330(f77(a1),x40352))),f330(a107,f330(f77(a1),f330(f330(f83(a1),x40351),x40352)))) % 199.45/199.83 [4047]P108(f330(f330(f238(a1),f2(a1)),f330(f330(f247(a1),f330(f77(a1),x40471)),x40472))) % 199.45/199.83 [4118]E(f330(f288(f929(x41181),f929(x41181),f161(x41181,x41182)),f330(f330(f312(f929(x41181)),f116(x41181)),f191(f935(f929(x41181),a923)))),f330(f330(f312(f929(x41181)),f116(x41181)),f191(f935(f929(x41181),a923)))) % 199.45/199.83 [4137]E(f330(f330(f113(f935(f934(x41371,x41371),a923)),f310(x41371,x41372)),f310(x41371,f191(f935(f934(x41371,x41371),a923)))),f310(x41371,x41372)) % 199.45/199.83 [4150]E(f330(f330(f37(a1),f330(f106(a1),f330(f330(f82(a1),x41501),x41501))),f330(f106(a1),f330(f330(f82(a1),x41502),x41502))),f330(f330(f37(a1),f330(f106(a1),x41501)),f330(f106(a1),x41502))) % 199.45/199.83 [4213]E(f330(f330(f247(a1),x42131),f330(f106(a928),f330(f330(f82(a1),x42132),x42132))),f330(f330(f88(a1,a1),f330(f330(f247(a1),x42131),f330(f106(a928),x42132))),f330(f330(f18(a1,a1,a1),f83(a1)),f5(a1)))) % 199.45/199.83 [4219]E(f330(f265(f935(x42191,a923)),f330(f330(f7(f935(x42191,a923),f935(x42191,a923),a923),f238(f935(x42191,a923))),x42192)),f330(f311(x42191),x42192)) % 199.45/199.83 [4235]E(f330(f330(f157(a1,a928),a107),f330(f330(f137(a1),f330(f330(f157(a928,a1),f103(a1)),x42351)),f330(f330(f157(a928,a1),f103(a1)),x42352))),f330(f330(f137(a928),x42351),x42352)) % 199.45/199.83 [4268]E(f330(f313(a1,a1,f330(f330(f7(a1,a1,a1),f82(a1)),x42681)),f330(f305(a1,f2(a1)),f330(f330(f23(a1),x42682),x42681))),f330(f305(a1,x42681),x42682)) % 199.45/199.83 [4270]P56(x42701,f330(f330(f23(f935(f934(x42701,x42701),a923)),x42702),f310(x42701,f191(f935(f934(x42701,x42701),a923))))) % 199.45/199.83 [4288]E(f330(f192(f929(x42881)),f330(f145(f929(x42881),f929(x42881),f137(x42881),f116(x42881)),x42882)),f330(f168(a928),f330(f330(f157(f929(x42881),a928),f192(f929(x42881))),x42882))) % 199.45/199.83 [4292]P55(x42921,f245(f935(x42921,a923)),f330(f330(f113(f935(f934(x42921,x42921),a923)),x42922),f310(x42921,f191(f935(f934(x42921,x42921),a923))))) % 199.45/199.83 [4337]E(f188(a928,f2(a928),f330(f330(f8(a928,a928,a928),a115),f330(f330(f7(a928,a928,a928),f236(a928)),x43371)),x43372),f330(f330(f236(a928),x43372),f330(a115,x43371))) % 199.45/199.83 [4340]E(f188(a928,f330(a115,x43401),f330(f330(f8(a928,a928,a928),a115),f330(f330(f7(a928,a928,a928),f237(a928)),x43401)),x43402),f330(f330(f237(a928),x43402),f330(a115,x43401))) % 199.45/199.83 [4343]E(f330(f313(x43431,f929(x43431),f330(f330(f7(x43431,f929(x43431),f929(x43431)),f154(x43431)),f116(x43431))),x43432),f177(x43431,x43432,f330(f330(f312(f929(x43431)),f116(x43431)),f191(f935(f929(x43431),a923))))) % 199.45/199.83 [4345]E(f330(f330(f113(f935(f934(x43451,x43451),a923)),f330(f330(f292(x43451,x43451,x43451),x43452),f310(x43451,x43452))),f310(x43451,f191(f935(f934(x43451,x43451),a923)))),f310(x43451,x43452)) % 199.45/199.83 [4352]P108(f330(f330(f238(f935(f934(x43521,x43521),a923)),f266(x43521,x43522)),f330(f330(f257(x43521,x43521),x43522),f330(f16(f935(x43521,a923),x43521),x43522)))) % 199.45/199.83 [4355]E(f330(f313(a1,a928,a107),f330(f330(f104(f935(a1,a923)),f330(f313(a928,a1,f103(a1)),x43551)),f330(f313(a928,a1,f103(a1)),x43552))),f330(f330(f104(f935(a928,a923)),x43551),x43552)) % 199.45/199.83 [4356]E(f330(f313(a1,a928,a107),f330(f330(f113(f935(a1,a923)),f330(f313(a928,a1,f103(a1)),x43561)),f330(f313(a928,a1,f103(a1)),x43562))),f330(f330(f113(f935(a928,a923)),x43561),x43562)) % 199.45/199.83 [4359]E(f330(f265(x43591),f330(f330(f8(a923,a923,x43591),a325),f330(f330(f7(x43591,f935(x43591,a923),a923),f332(x43591)),x43592))),f330(f81(f935(x43591,a923)),x43592)) % 199.45/199.83 [4386]E(f330(f145(f929(x43861),f929(x43861),f137(x43861),f116(x43861)),f330(f330(f157(f929(x43861),f929(x43861)),f171(x43861)),f330(f171(f929(x43861)),x43862))),f330(f171(x43861),f330(f145(f929(x43861),f929(x43861),f137(x43861),f116(x43861)),x43862))) % 199.45/199.83 [4412]E(f330(f330(f40(a928,f935(f934(x44121,x44121),a923)),f245(f935(a928,a923))),f330(f330(f7(a928,f935(f934(x44121,x44121),a923),f935(f934(x44121,x44121),a923)),f186(f934(x44121,x44121),a923)),x44122)),f310(x44121,x44122)) % 199.45/199.83 [4430]E(f87(x44301,f330(f330(f8(f935(x44301,a923),a923,x44301),f330(a327,x44302)),f330(f330(f7(x44301,f935(x44301,a923),f935(x44301,a923)),f312(x44301)),f191(f935(x44301,a923))))),f315(x44301,x44302)) % 199.45/199.83 [4438]E(f330(f192(f929(x44381)),f155(x44381,f330(f145(f929(x44381),f929(x44381),f137(x44381),f116(x44381)),x44382))),f330(f36(x44381),f330(f330(f40(f929(x44381),f935(x44381,a923)),f330(f175(f929(x44381)),x44382)),f175(x44381)))) % 199.45/199.83 [4452]E(f330(f330(f113(f935(f934(x44521,x44521),a923)),x44522),f330(f330(f292(x44521,x44521,x44521),f330(f330(f292(x44521,x44521,x44521),x44522),f310(x44521,x44522))),x44522)),f330(f330(f292(x44521,x44521,x44521),x44522),f310(x44521,x44522))) % 199.45/199.83 [4477]P108(f330(f330(f238(f935(f934(x44771,x44771),a923)),f330(f330(f292(x44771,x44771,x44771),x44772),f310(x44771,x44772))),f330(f330(f257(x44771,x44771),f330(f284(x44771),x44772)),f330(f16(f935(x44771,a923),x44771),f330(f284(x44771),x44772))))) % 199.45/199.83 [4518]E(f330(f265(f929(x45181)),f330(f330(f7(f929(x45181),f935(x45181,a923),a923),f330(f330(f8(f935(x45181,a923),f935(f935(x45181,a923),a923),f929(x45181)),f238(f935(x45181,a923))),f175(x45181))),x45182)),f164(x45181,x45182)) % 199.45/199.83 [4529]E(f330(f159(f929(x45291),x45291,f116(x45291),f330(f330(f8(f929(x45291),f935(f929(x45291),f929(x45291)),x45291),f330(f7(f929(x45291),f929(x45291),f929(x45291)),f137(x45291))),f330(f330(f7(x45291,f929(x45291),f929(x45291)),f154(x45291)),f116(x45291)))),x45292),f330(f170(x45291),x45292)) % 199.45/199.83 [4569]P25(f935(x45691,x45692),f935(f934(x45691,x45692),a923),f330(f330(f8(f935(f934(x45691,x45692),a923),f935(f934(x45691,x45692),a923),f935(x45691,x45692)),f265(f934(x45691,x45692))),f330(f330(f8(f935(x45691,f935(x45692,a923)),f935(f934(x45691,x45692),a923),f935(x45691,x45692)),f260(x45691,x45692,a923)),f330(f8(x45692,f935(x45692,a923),x45691),f330(f7(x45692,x45692,a923),a327)))),f245(f935(f935(x45691,x45692),a923))) % 199.45/199.83 [4574]E(f46(a1,f330(f106(a1),f330(f330(f82(a1),x45741),x45741)),f330(f106(a1),f330(f330(f82(a1),x45742),x45742))),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f46(a1,f330(f106(a1),x45741),f330(f106(a1),x45742)))) % 199.45/199.83 [4618]E(f330(f330(f40(x46181,f935(f934(x46181,x46181),a923)),x46182),f330(f330(f7(x46181,f935(f934(x46181,x46181),a923),f935(f934(x46181,x46181),a923)),f330(f330(f8(f934(x46181,x46181),f935(f935(f934(x46181,x46181),a923),f935(f934(x46181,x46181),a923)),x46181),f312(f934(x46181,x46181))),f330(f330(f18(x46181,x46181,f934(x46181,x46181)),f255(x46181,x46181)),f5(x46181)))),f191(f935(f934(x46181,x46181),a923)))),f266(x46181,x46182)) % 199.45/199.83 [4626]E(f206(x46261,f330(f330(f255(a1,a1),f330(f81(a1),f330(f330(f74(f934(a1,a1),a1,x46261,f254(a1,a1)),f216(x46261)),x46262))),f330(f330(f74(f934(a1,a1),a1,x46261,f259(a1,a1)),f216(x46261)),x46262))),f231(x46261,x46262)) % 199.45/199.83 [4709]E(f330(f265(f935(x47091,a923)),f330(f330(f8(f935(f935(x47091,a923),a923),a923,f935(x47091,a923)),f89(f935(x47091,a923))),f330(f330(f7(f935(x47091,a923),f935(f935(x47091,a923),a923),f935(f935(x47091,a923),a923)),f330(f330(f8(f935(f935(x47091,a923),f935(a923,a923)),f935(f935(f935(x47091,a923),a923),f935(f935(x47091,a923),a923)),f935(x47091,a923)),f18(f935(x47091,a923),a923,a923)),f330(f330(f8(f935(f935(x47091,a923),a923),f935(f935(x47091,a923),f935(a923,a923)),f935(x47091,a923)),f330(f8(a923,f935(a923,a923),f935(x47091,a923)),a328)),f330(f330(f7(f935(x47091,a923),f935(f935(x47091,a923),f935(x47091,a923)),f935(f935(x47091,a923),a923)),f330(f330(f8(f935(f935(x47091,a923),a923),f935(f935(f935(x47091,a923),f935(x47091,a923)),f935(f935(x47091,a923),a923)),f935(x47091,a923)),f8(f935(x47091,a923),a923,f935(x47091,a923))),a327)),f81(f935(x47091,a923)))))),f330(f330(f8(f935(f935(x47091,a923),a923),a923,f935(x47091,a923)),f330(f332(f935(x47091,a923)),x47092)),f311(x47091))))),f330(f311(x47091),f330(f81(f935(x47091,a923)),x47092))) % 199.45/199.83 [4814]~E(f330(f330(f82(a1),x48141),x48141),f330(f330(f23(a1),f330(f330(f82(a1),x48142),x48142)),a100)) % 199.45/199.83 [4818]~P108(f330(f330(f239(a928),f330(f330(f82(a928),x48181),x48182)),x48182)) % 199.45/199.83 [4819]~P108(f330(f330(f239(a928),f330(f330(f82(a928),x48191),x48192)),x48191)) % 199.45/199.83 [4052]E(f330(f330(f23(a928),x40521),f330(f330(f83(a928),f330(f330(f37(a928),x40521),x40522)),x40522)),f46(a928,x40521,x40522)) % 199.45/199.83 [4053]E(f330(f330(f23(a1),x40531),f330(f330(f83(a1),f330(f330(f37(a1),x40531),x40532)),x40532)),f46(a1,x40531,x40532)) % 199.45/199.83 [4087]E(f330(f330(f157(a928,x40871),f330(f167(x40871),x40872)),f142(a928,f330(f305(a928,f2(a928)),f330(f192(f929(x40871)),x40872)))),x40872) % 199.45/199.83 [4146]E(f330(f288(x41461,x41461,f310(x41461,f191(f935(f934(x41461,x41461),a923)))),x41462),x41462) % 199.45/199.83 [4273]E(f310(x42731,f330(f330(f23(f935(f934(x42731,x42731),a923)),x42732),f310(x42731,f191(f935(f934(x42731,x42731),a923))))),f310(x42731,x42732)) % 199.45/199.83 [4274]E(f310(x42741,f330(f330(f113(f935(f934(x42741,x42741),a923)),x42742),f310(x42741,f191(f935(f934(x42741,x42741),a923))))),f310(x42741,x42742)) % 199.45/199.83 [4324]E(f330(f330(f23(a1),f330(f330(f23(a1),f330(f330(f82(a1),x43241),x43241)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),x43242),x43242)),a100)),f330(f330(f82(a1),f330(f330(f23(a1),x43241),x43242)),f330(f330(f23(a1),x43241),x43242))) % 199.45/199.83 [4364]E(f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f82(a1),x43641),x43642)),f330(f330(f82(a1),x43641),x43642))),a100),f330(f330(f82(a1),f330(f330(f82(a1),x43641),x43641)),f330(f330(f23(a1),f330(f330(f82(a1),x43642),x43642)),a100))) % 199.45/199.83 [4389]E(f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),x43891),x43891)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),x43892),x43892)),a100)),f330(f330(f82(a1),f330(f330(f82(a1),x43891),f330(f330(f23(a1),x43892),a100))),f330(f330(f82(a1),x43891),f330(f330(f23(a1),x43892),a100)))) % 199.45/199.83 [4400]E(f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),x44001),x44002)),f330(f330(f23(a1),x44001),x44002))),a100),f330(f330(f23(a1),f330(f330(f23(a1),f330(f330(f82(a1),x44001),x44001)),a100)),f330(f330(f82(a1),x44002),x44002))) % 199.45/199.83 [4401]E(f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f82(a1),x44011),x44012)),f330(f330(f82(a1),x44011),x44012))),a100),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),x44011),x44011)),a100)),f330(f330(f82(a1),x44012),x44012))) % 199.45/199.83 [4449]E(f330(f103(a1),f330(f330(f37(a928),f330(f330(f83(a928),f330(a107,f330(f77(a1),x44491))),f330(a107,f330(f77(a1),x44492)))),f220(f330(a107,f330(f77(a1),x44491)),f330(a107,f330(f77(a1),x44492))))),f222(x44491,x44492)) % 199.45/199.83 [4495]E(f330(f330(f262(f934(a102,a102),a102,f934(a102,a102),f934(x44951,f934(a102,a102))),f270(f330(a3,f330(f192(f929(x44951)),x44952)))),f330(f330(f8(x44951,f935(f934(a102,a102),f934(x44951,f934(a102,a102))),a102),f255(x44951,f934(a102,a102))),f330(f330(f8(a928,x44951,a102),f330(f167(x44951),x44952)),a20))),f278(x44951,x44952)) % 199.45/199.83 [4575]E(f330(f145(a928,f929(x45751),f330(f7(f929(x45751),a928,a928),f330(f330(f8(a928,f935(a928,a928),f929(x45751)),f237(a928)),f192(f929(x45751)))),f2(a928)),f330(f171(f929(x45751)),f182(x45751,x45752))),f330(f192(f929(f929(x45751))),f330(f139(f929(x45751),f330(f330(f8(a923,a923,f929(x45751)),a325),f330(f330(f7(f929(x45751),f929(x45751),a923),a327),f116(x45751)))),x45752))) % 199.45/199.83 [4581]E(f330(f330(f40(a928,f935(x45811,a923)),f245(f935(a928,a923))),f330(f330(f7(a928,f935(a928,f935(x45811,a923)),f935(x45811,a923)),f330(f330(f8(f935(a928,a923),f935(f935(a928,f935(x45811,a923)),f935(x45811,a923)),a928),f40(a928,f935(x45811,a923))),f305(a928,f2(a928)))),x45812)),f330(f330(f40(a928,f935(x45811,a923)),f245(f935(a928,a923))),x45812)) % 199.45/199.83 [4603]P108(f330(f62(a928),f330(f265(a928),f330(f330(f18(a928,a923,a923),f330(f330(f8(a923,f935(a923,a923),a928),a328),x46031)),f330(f330(f7(a928,a928,a923),f239(a928)),x46032))))) % 199.45/199.83 [4718]E(f330(f265(f934(f929(x47181),f929(x47181))),f330(f260(f929(x47181),f929(x47181),a923),f330(f330(f18(f929(x47181),f935(f929(x47181),a923),f935(f929(x47181),a923)),f330(f330(f8(f935(f929(x47181),f935(a923,a923)),f935(f935(f929(x47181),a923),f935(f929(x47181),a923)),f929(x47181)),f18(f929(x47181),a923,a923)),f330(f330(f8(f935(f929(x47181),a923),f935(f929(x47181),f935(a923,a923)),f929(x47181)),f330(f8(a923,f935(a923,a923),f929(x47181)),a329)),f330(f330(f7(f929(x47181),f935(f929(x47181),a928),f935(f929(x47181),a923)),f330(f330(f8(f935(a928,a923),f935(f935(f929(x47181),a928),f935(f929(x47181),a923)),f929(x47181)),f8(a928,a923,f929(x47181))),f330(f330(f8(a928,f935(a928,a923),f929(x47181)),f239(a928)),f192(f929(x47181))))),f192(f929(x47181)))))),f330(f330(f18(f929(x47181),f935(f929(x47181),a923),f935(f929(x47181),a923)),f330(f330(f8(f935(f929(x47181),f935(a923,a923)),f935(f935(f929(x47181),a923),f935(f929(x47181),a923)),f929(x47181)),f18(f929(x47181),a923,a923)),f330(f330(f8(f935(f929(x47181),a923),f935(f929(x47181),f935(a923,a923)),f929(x47181)),f330(f8(a923,f935(a923,a923),f929(x47181)),a328)),f330(f330(f7(f929(x47181),f935(f929(x47181),a928),f935(f929(x47181),a923)),f330(f330(f8(f935(a928,a923),f935(f935(f929(x47181),a928),f935(f929(x47181),a923)),f929(x47181)),f8(a928,a923,f929(x47181))),f330(f330(f8(a928,f935(a928,a923),f929(x47181)),a327),f192(f929(x47181))))),f192(f929(x47181)))))),f330(f330(f7(f929(x47181),f935(f934(f929(x47181),f929(x47181)),a923),f935(f929(x47181),a923)),f330(f330(f8(f935(f929(x47181),f935(f935(f934(f929(x47181),f929(x47181)),a923),a923)),f935(f935(f934(f929(x47181),f929(x47181)),a923),f935(f929(x47181),a923)),f929(x47181)),f7(f929(x47181),f935(f934(f929(x47181),f929(x47181)),a923),a923)),f330(f330(f8(f935(f929(x47181),f934(f929(x47181),f929(x47181))),f935(f929(x47181),f935(f935(f934(f929(x47181),f929(x47181)),a923),a923)),f929(x47181)),f330(f8(f934(f929(x47181),f929(x47181)),f935(f935(f934(f929(x47181),f929(x47181)),a923),a923),f929(x47181)),f332(f934(f929(x47181),f929(x47181))))),f255(f929(x47181),f929(x47181))))),f148(x47181,x47182)))))),f149(x47181,x47182)) % 199.45/199.83 [4392]E(f330(f330(f82(a1),f330(f330(f82(a1),f330(f330(f83(a1),x43921),x43922)),f330(f330(f83(a1),x43921),x43922))),x43922),f330(f330(f83(a1),f330(f330(f23(a1),f330(f330(f82(a1),x43921),x43921)),a100)),x43922)) % 199.45/199.83 [4494]E(f330(a107,f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x44941),x44942)),f191(f935(f934(a928,a928),a923)))))),f330(f330(f23(a928),x44941),x44942)) % 199.45/199.83 [4498]E(f330(f330(f292(x44981,x44981,x44981),f330(f330(f113(f935(f934(x44981,x44981),a923)),x44982),f310(x44981,f191(f935(f934(x44981,x44981),a923))))),f310(x44981,f330(f330(f113(f935(f934(x44981,x44981),a923)),x44982),f310(x44981,f191(f935(f934(x44981,x44981),a923)))))),f310(x44981,x44982)) % 199.45/199.83 [4535]E(f271(x45351,f330(f139(f934(a102,x45351),f330(f260(a102,x45351,a923),f330(f330(f8(a923,f935(x45351,a923),a102),f16(a923,x45351)),f330(f239(a102),f2(a102))))),x45352)),f271(x45351,x45352)) % 199.45/199.83 [4536]E(f269(x45361,f330(f139(f934(a102,x45361),f330(f260(a102,x45361,a923),f330(f330(f8(a923,f935(x45361,a923),a102),f16(a923,x45361)),f330(f239(a102),f2(a102))))),x45362)),f269(x45361,x45362)) % 199.45/199.83 [4538]E(f330(f81(a1),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x45381),x45382)),f191(f935(f934(a928,a928),a923)))))),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x45382),x45381)),f191(f935(f934(a928,a928),a923)))))) % 199.45/199.83 [4594]E(f330(f330(f291(f929(a928),x45941),f148(a928,a243)),f330(f330(f7(x45941,f929(f935(x45941,a928)),f929(a928)),f330(f330(f8(f935(f935(x45941,a928),a928),f935(f929(f935(x45941,a928)),f929(a928)),x45941),f157(f935(x45941,a928),a928)),f330(f7(f935(x45941,a928),x45941,a928),f5(f935(x45941,a928))))),x45942)),f156(x45941,x45942)) % 199.45/199.83 [4615]E(f330(f330(f88(a1,a928),f330(f106(a1),f330(f330(f82(a1),x46151),a100))),f330(f330(f18(a1,a928,a928),f330(f330(f7(a1,a928,f935(a928,a928)),f330(f330(f8(a923,f935(a928,f935(a928,a928)),a1),f99(a928)),a196)),f2(a928))),f330(f330(f8(a928,a928,a1),a115),f330(f330(f8(a928,a928,a1),f330(f236(a928),x46152)),a107)))),f330(f330(f236(a928),f330(a115,x46152)),f330(f106(a928),x46151))) % 199.45/199.83 [4616]E(f330(f330(f88(a1,a928),f330(f106(a1),f330(f330(f82(a1),x46161),a100))),f330(f330(f18(a1,a928,a928),f330(f330(f7(a1,a928,f935(a928,a928)),f330(f330(f8(a923,f935(a928,f935(a928,a928)),a1),f99(a928)),a196)),f330(a115,x46162))),f330(f330(f8(a928,a928,a1),a115),f330(f330(f8(a928,a928,a1),f330(f237(a928),x46162)),a107)))),f330(f330(f237(a928),f330(a115,x46162)),f330(f106(a928),x46161))) % 199.45/199.83 [4636]E(f330(f145(f929(x46361),f929(x46361),f137(x46361),f116(x46361)),f330(f330(f157(f929(x46361),f929(x46361)),f159(f929(x46361),x46361,f116(x46361),f330(f330(f8(f929(x46361),f935(f929(x46361),f929(x46361)),x46361),f16(f929(x46361),f929(x46361))),f330(f330(f7(x46361,f929(x46361),f929(x46361)),f154(x46361)),f116(x46361))))),x46362)),f330(f330(f157(f929(x46361),x46361),f144(x46361)),f330(f139(f929(x46361),f330(f330(f8(a923,a923,f929(x46361)),a325),f330(f330(f7(f929(x46361),f929(x46361),a923),a327),f116(x46361)))),x46362))) % 199.45/199.83 [4698]E(f330(f260(a1,a1,a923),f330(f330(f7(a1,f935(a1,a923),f935(a1,a923)),f330(f330(f8(f935(a1,f935(a923,a923)),f935(f935(a1,a923),f935(a1,a923)),a1),f18(a1,a923,a923)),f330(f330(f8(f935(a1,a923),f935(a1,f935(a923,a923)),a1),f330(f8(a923,f935(a923,a923),a1),a328)),f330(f330(f8(f935(a1,a1),f935(a1,a923),a1),f330(f8(a1,a923,a1),f330(a327,x46981))),f330(f330(f8(a1,f935(a1,a1),a1),f82(a1)),f330(f83(a1),x46982)))))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f330(f8(a923,a923,a1),f330(a333,f330(f330(f239(a1),f2(a1)),x46982))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f238(a1),f2(a1)))),f330(f330(f7(a1,a1,a923),f239(a1)),x46982))))),f330(f330(f8(a923,a923,a1),f330(a333,f330(a325,f330(f330(f239(a1),f2(a1)),x46982)))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f239(a1),x46982))),f330(f330(f7(a1,a1,a923),f238(a1)),f2(a1))))))),f50(x46981,x46982)) % 199.45/199.83 [4701]E(f330(f265(x47011),f330(f330(f8(f935(a928,a923),a923,x47011),f89(a928)),f330(f330(f7(x47011,f935(a928,a923),f935(a928,a923)),f330(f330(f8(f935(a928,f935(a923,a923)),f935(f935(a928,a923),f935(a928,a923)),x47011),f18(a928,a923,a923)),f330(f330(f8(f935(a928,a923),f935(a928,f935(a923,a923)),x47011),f330(f8(a923,f935(a923,a923),a928),a328)),f330(f330(f7(x47011,f935(a928,x47011),f935(a928,a923)),f330(f330(f8(f935(x47011,a923),f935(f935(a928,x47011),f935(a928,a923)),x47011),f8(x47011,a923,a928)),a327)),f330(f167(x47011),x47012))))),f330(f330(f7(a928,a928,a923),f239(a928)),f330(f192(f929(x47011)),x47012))))),f330(f175(x47011),x47012)) % 199.45/199.83 [4508]E(f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),x45081),a100)),x45082)),f330(f330(f23(a1),f330(f330(f82(a1),x45081),a100)),x45082))),a100),f330(f330(f23(a1),f330(f330(f82(a1),x45081),x45081)),f330(f330(f23(a1),f330(f330(f82(a1),x45082),x45082)),a100))) % 199.45/199.83 [4631]E(f330(f145(f929(f929(x46311)),f929(f929(x46311)),f137(f929(x46311)),f116(f929(x46311))),f330(f330(f157(f929(x46311),f929(f929(x46311))),f159(f929(f929(x46311)),x46311,f116(f929(x46311)),f330(f16(f935(f929(x46311),f929(f929(x46311))),x46311),f330(f330(f7(f929(x46311),f929(f929(x46311)),f929(f929(x46311))),f154(f929(x46311))),f116(f929(x46311)))))),x46312)),f330(f330(f157(f929(x46311),f929(x46311)),f174(x46311)),f330(f139(f929(x46311),f330(f330(f8(a923,a923,f929(x46311)),a325),f330(f330(f7(f929(x46311),f929(x46311),a923),a327),f116(x46311)))),x46312))) % 199.45/199.83 [4641]E(f330(f330(f88(a1,a928),f330(f106(a1),f330(f330(f82(a1),x46411),a100))),f330(f330(f18(a1,a928,a928),f330(f330(f7(a1,a928,f935(a928,a928)),f330(f330(f8(a923,f935(a928,f935(a928,a928)),a1),f99(a928)),a196)),f2(a928))),f330(f330(f8(a928,a928,a1),a115),f330(f330(f7(a1,a928,a928),f330(f330(f8(a928,f935(a928,a928),a1),f236(a928)),a107)),x46412)))),f330(f330(f236(a928),f330(f106(a928),x46411)),f330(a115,x46412))) % 199.45/199.83 [4642]E(f330(f330(f88(a1,a928),f330(f106(a1),f330(f330(f82(a1),x46421),a100))),f330(f330(f18(a1,a928,a928),f330(f330(f7(a1,a928,f935(a928,a928)),f330(f330(f8(a923,f935(a928,f935(a928,a928)),a1),f99(a928)),a196)),f330(a115,x46422))),f330(f330(f8(a928,a928,a1),a115),f330(f330(f7(a1,a928,a928),f330(f330(f8(a928,f935(a928,a928),a1),f237(a928)),a107)),x46422)))),f330(f330(f237(a928),f330(f106(a928),x46421)),f330(a115,x46422))) % 199.45/199.83 [4630]E(f330(f260(x46301,x46301,a923),f330(f330(f18(x46301,a923,f935(x46301,a923)),f330(f330(f8(f935(x46301,f935(a923,a923)),f935(a923,f935(x46301,a923)),x46301),f7(x46301,a923,a923)),f330(f330(f8(f935(x46301,a923),f935(x46301,f935(a923,a923)),x46301),f330(f8(a923,f935(a923,a923),x46301),a328)),a327))),x46302)),f266(x46301,x46302)) % 199.45/199.83 [4675]E(f330(f330(f37(a928),x46751),f330(f330(f82(a928),f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))),x46752)),f330(f330(f37(a928),x46751),f330(a115,f330(a115,f330(a115,x46752))))) % 199.45/199.83 [4676]E(f46(a928,x46761,f330(f330(f82(a928),f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))),x46762)),f46(a928,x46761,f330(a115,f330(a115,f330(a115,x46762))))) % 199.45/199.83 [4677]E(f46(a928,f330(f330(f82(a928),f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))),x46771),x46772),f46(a928,f330(a115,f330(a115,f330(a115,x46771))),x46772)) % 199.45/199.83 [4689]E(f126(f330(x46891,f330(f330(f83(a102),f330(f106(a102),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))),x46892))),f330(f204(x46891),x46892)) % 199.45/199.83 [4690]E(f330(f330(f37(a928),f330(f330(f82(a928),f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))),x46901)),x46902),f330(f330(f37(a928),f330(a115,f330(a115,f330(a115,x46901)))),x46902)) % 199.45/199.83 [4762]~E(f28(x47621,x47622,x47623),a25) % 199.45/199.83 [4763]~E(f27(x47631,x47632,x47633),a25) % 199.45/199.83 [4767]~E(f129(x47671,x47672,x47673),f122(x47671)) % 199.45/199.83 [3482]E(f330(f195(x34821,x34822),x34823),f124(x34821,x34822)) % 199.45/199.83 [3501]E(f330(f203(x35011,x35012),x35013),f330(f132(x35011),x35012)) % 199.45/199.83 [3577]E(f330(f330(f157(x35771,x35772),x35773),f116(x35771)),f116(x35772)) % 199.45/199.83 [3617]E(f330(f187(x36171,x36172,x36173),f2(a928)),x36172) % 199.45/199.83 [3619]E(f330(f330(f184(x36191,x36192),x36193),f116(x36192)),f116(f934(x36191,x36192))) % 199.45/199.83 [3634]E(f330(f192(f929(x36341)),f172(x36341,x36342,x36343)),x36342) % 199.45/199.83 [3653]E(f87(x36531,f63(x36531,x36532,x36533)),f330(f64(x36531,x36532),x36533)) % 199.45/199.83 [3657]E(f246(x36571,x36572,f246(x36572,x36571,x36573)),x36573) % 199.45/199.83 [3677]E(f330(f171(x36771),f172(x36771,x36772,x36773)),f172(x36771,x36772,x36773)) % 199.45/199.83 [3704]E(f143(x37041,x37042,f155(x37041,x37043)),f155(x37041,f143(x37041,x37042,x37043))) % 199.45/199.83 [3723]E(f330(f254(f929(x37231),f929(x37231)),f169(x37231,x37232,x37233)),f330(f139(x37231,x37232),x37233)) % 199.45/199.83 [3766]E(f330(f330(f154(x37661),x37662),f172(x37661,x37663,x37662)),f172(x37661,f330(a115,x37663),x37662)) % 199.45/199.83 [3798]E(f188(x37981,x37982,x37983,f2(a928)),x37982) % 199.45/199.83 [3799]E(f17(x37991,x37992,x37993,f2(a102)),x37992) % 199.45/199.83 [3800]E(f19(x38001,x38002,x38003,f2(a102)),x38002) % 199.45/199.83 [3807]E(f166(x38071,x38072,x38073,f116(x38071)),f116(x38072)) % 199.45/199.83 [3808]E(f133(x38081,x38082,x38083,f122(x38081)),f122(x38082)) % 199.45/199.83 [3814]E(f330(f330(f167(x38141),f330(f330(f154(x38141),x38142),x38143)),f2(a928)),x38142) % 199.45/199.83 [3844]E(f60(x38441,x38442,f116(x38441),x38443),f116(f934(x38441,x38442))) % 199.45/199.83 [3865]P25(x38651,x38652,x38653,f191(f935(x38651,a923))) % 199.45/199.83 [3968]E(f268(x39681,x39682,x39683),f330(f255(f935(a102,f935(a923,f932(f930(x39681)))),f934(a102,a102)),f42(x39681))) % 199.45/199.83 [4026]E(f330(f74(x40261,x40262,x40261,x40263),f33(x40261)),x40263) % 199.45/199.83 [4205]P108(f330(f330(f332(f934(x42051,x42051)),f330(f330(f255(x42051,x42051),x42052),x42052)),f310(x42051,x42053))) % 199.45/199.83 [4823]~P108(f330(f330(f332(f934(f929(x48231),f929(x48231))),f330(f330(f255(f929(x48231),f929(x48231)),x48232),f116(x48231))),f148(x48231,x48233))) % 199.45/199.83 [4824]~P108(f330(f330(f332(f934(f929(x48241),f929(x48241))),f330(f330(f255(f929(x48241),f929(x48241)),x48242),f116(x48241))),f150(x48241,x48243))) % 199.45/199.83 [4825]~P108(f330(f330(f332(f934(f929(x48251),f929(x48251))),f330(f330(f255(f929(x48251),f929(x48251)),x48252),f116(x48251))),f160(x48251,x48253))) % 199.45/199.83 [4826]~P108(f330(f330(f332(f934(f929(x48261),f929(x48261))),f330(f330(f255(f929(x48261),f929(x48261)),f116(x48261)),x48262)),f148(x48261,x48263))) % 199.45/199.83 [4827]~P108(f330(f330(f332(f934(f929(x48271),f929(x48271))),f330(f330(f255(f929(x48271),f929(x48271)),f116(x48271)),x48272)),f160(x48271,x48273))) % 199.45/199.83 [3552]E(f330(f330(f205(x35521),x35522),x35523),f206(x35521,f219(x35522,x35523))) % 199.45/199.83 [3606]E(f330(f289(x36061,x36062),f330(f289(x36062,x36061),x36063)),x36063) % 199.45/199.83 [3629]E(f330(f330(f184(x36291,x36292),f116(x36291)),x36293),f116(f934(x36291,x36292))) % 199.45/199.83 [3632]E(f179(x36321,x36322,f330(f285(a928),x36323)),f330(f330(f178(x36321),x36323),x36322)) % 199.45/199.83 [3650]E(f155(x36501,f330(f139(x36501,x36502),x36503)),f330(f139(x36501,x36502),f155(x36501,x36503))) % 199.45/199.83 [3651]E(f330(f287(x36511,x36512),f330(f289(x36512,x36511),x36513)),f330(f267(x36512,x36511),x36513)) % 199.45/199.83 [3652]E(f330(f267(x36521,x36522),f330(f289(x36522,x36521),x36523)),f330(f287(x36522,x36521),x36523)) % 199.45/199.83 [3670]E(f330(f139(x36701,x36702),f330(f171(x36701),x36703)),f330(f171(x36701),f330(f139(x36701,x36702),x36703))) % 199.45/199.83 [3683]E(f330(f330(f141(x36831),x36832),f330(f174(x36831),x36833)),f330(f330(f141(x36831),f330(a115,x36832)),x36833)) % 199.45/199.83 [3699]E(f29(f27(x36991,x36992,x36993)),f330(f330(f82(a928),f29(x36993)),f330(a115,f2(a928)))) % 199.45/199.83 [3700]E(f330(f313(x37001,x37002,x37003),f191(f935(x37001,a923))),f191(f935(x37002,a923))) % 199.45/199.83 [3701]E(f330(f288(x37011,x37012,x37013),f191(f935(x37011,a923))),f191(f935(x37012,a923))) % 199.45/199.83 [3702]E(f330(f314(x37021,x37022,x37023),f191(f935(x37022,a923))),f191(f935(x37021,a923))) % 199.45/199.83 [3703]E(f330(f314(x37031,x37032,x37033),f245(f935(x37032,a923))),f245(f935(x37031,a923))) % 199.45/199.83 [3729]E(f123(x37291,f129(f930(x37291),x37292,x37293)),f119(x37291,x37292,f123(x37291,x37293))) % 199.45/199.83 [3731]E(f330(f330(f312(x37311),x37312),f330(f175(x37311),x37313)),f330(f175(x37311),f143(x37311,x37312,x37313))) % 199.45/199.83 [3818]E(f330(f192(a925),f27(x38181,x38182,x38183)),f330(f330(f82(a928),f330(f192(a925),x38183)),f330(a115,f2(a928)))) % 199.45/199.83 [3819]E(f330(f313(f934(x38191,x38192),x38192,f259(x38191,x38192)),x38193),f330(f287(x38191,x38192),x38193)) % 199.45/199.83 [3820]E(f330(f313(f934(x38201,x38202),x38201,f254(x38201,x38202)),x38203),f330(f267(x38201,x38202),x38203)) % 199.45/199.83 [3836]E(f330(f175(x38361),f172(x38361,f330(a115,x38362),x38363)),f330(f330(f312(x38361),x38363),f191(f935(x38361,a923)))) % 199.45/199.83 [3894]E(f330(f330(f255(x38941,x38942),f330(f254(x38941,x38942),x38943)),f330(f259(x38941,x38942),x38943)),x38943) % 199.45/199.83 [3901]E(f330(f192(f930(x39011)),f129(x39011,x39012,x39013)),f330(f330(f82(a928),f330(f192(f930(x39011)),x39013)),f330(a115,f2(a928)))) % 199.45/199.83 [3903]E(f330(f330(f260(x39031,x39032,x39031),f16(x39031,x39032)),x39033),f330(f254(x39031,x39032),x39033)) % 199.45/199.83 [3981]E(f29(f28(x39811,x39812,x39813)),f330(f330(f82(a928),f330(f330(f82(a928),f29(x39812)),f29(x39813))),f330(a115,f2(a928)))) % 199.45/199.83 [4031]E(f330(f74(x40311,x40311,x40312,f33(x40311)),x40313),x40313) % 199.45/199.83 [4038]E(f330(f330(f137(x40381),f172(x40381,x40382,x40383)),f330(f330(f154(x40381),x40383),f116(x40381))),f330(f330(f154(x40381),x40383),f172(x40381,x40382,x40383))) % 199.45/199.83 [4140]E(f330(f192(a925),f28(x41401,x41402,x41403)),f330(f330(f82(a928),f330(f330(f82(a928),f330(f192(a925),x41402)),f330(f192(a925),x41403))),f330(a115,f2(a928)))) % 199.45/199.83 [4214]P108(f330(f330(f238(f935(x42141,a923)),f330(f175(x42141),f330(f139(x42141,x42142),x42143))),f330(f175(x42141),x42143))) % 199.45/199.83 [4259]P108(f330(f330(f238(f935(x42591,a923)),f330(f175(x42591),f330(f330(f178(x42591),x42592),x42593))),f330(f175(x42591),x42593))) % 199.45/199.83 [4260]P108(f330(f330(f238(f935(x42601,a923)),f330(f175(x42601),f330(f330(f141(x42601),x42602),x42603))),f330(f175(x42601),x42603))) % 199.45/199.83 [4264]P108(f330(f330(f238(f935(x42641,a923)),f330(f175(x42641),f179(x42641,x42642,x42643))),f330(f175(x42641),x42642))) % 199.45/199.83 [4265]P108(f330(f330(f238(f935(x42651,a923)),f330(f175(x42651),f173(x42651,x42652,x42653))),f330(f175(x42651),x42653))) % 199.45/199.83 [4286]P25(f934(x42861,x42862),f934(x42862,x42861),f330(f260(x42861,x42862,f934(x42862,x42861)),f330(f7(x42862,x42861,f934(x42862,x42861)),f255(x42862,x42861))),x42863) % 199.45/199.83 [4297]E(f330(f330(f330(f186(f929(x42971),f929(x42971)),f46(a928,x42972,f330(f192(f929(x42971)),x42973))),f170(x42971)),x42973),f330(f330(f330(f186(f929(x42971),f929(x42971)),x42972),f170(x42971)),x42973)) % 199.45/199.83 [4341]P108(f330(f330(f332(f934(f929(x43411),f929(x43411))),f330(f330(f255(f929(x43411),f929(x43411)),x43412),x43412)),f161(x43411,f310(x43411,x43413)))) % 199.45/199.83 [4481]E(f87(f934(x44811,x44812),f330(f330(f18(f934(x44811,x44812),x44812,a923),f330(f330(f8(x44811,f935(x44812,a923),f934(x44811,x44812)),x44813),f254(x44811,x44812))),f259(x44811,x44812))),f87(f934(x44811,x44812),f330(f260(x44811,x44812,a923),x44813))) % 199.45/199.83 [4482]E(f92(f934(x44821,x44822),f330(f330(f18(f934(x44821,x44822),x44822,a923),f330(f330(f8(x44821,f935(x44822,a923),f934(x44821,x44822)),x44823),f254(x44821,x44822))),f259(x44821,x44822))),f92(f934(x44821,x44822),f330(f260(x44821,x44822,a923),x44823))) % 199.45/199.83 [4515]E(f330(f330(f291(f934(a928,x45151),x45151),f322(a928,x45151,a243,x45152)),f330(f330(f18(x45151,x45151,f934(a928,x45151)),f330(f330(f8(a928,f935(x45151,f934(a928,x45151)),x45151),f255(a928,x45151)),x45153)),f5(x45151))),f324(x45151,x45153,x45152)) % 199.45/199.83 [4577]E(f330(f261(x45771,x45771,x45772,x45772,f5(x45771),f5(x45772)),x45773),x45773) % 199.45/199.83 [4650]E(f330(f145(f929(f929(x46501)),f929(f929(x46501)),f137(f929(x46501)),f116(f929(x46501))),f330(f330(f157(f929(x46501),f929(f929(x46501))),f330(f330(f7(f929(x46501),f929(x46501),f929(f929(x46501))),f330(f330(f8(f935(x46501,f929(x46501)),f935(f929(x46501),f929(f929(x46501))),f929(x46501)),f157(x46501,f929(x46501))),f330(f7(x46501,f929(x46501),f929(x46501)),f154(x46501)))),x46502)),f56(x46501,x46503,x46502))),f56(x46501,f330(a115,x46503),x46502)) % 199.45/199.83 [4708]E(f227(a928,f934(x47081,f930(x47081)),f2(a928),f330(f260(x47081,f930(x47081),a928),f330(f330(f7(x47081,a928,f935(f930(x47081),a928)),f330(f330(f8(f935(f930(x47081),f935(a928,a928)),f935(a928,f935(f930(x47081),a928)),x47081),f7(f930(x47081),a928,a928)),f330(f330(f8(f935(f930(x47081),a928),f935(f930(x47081),f935(a928,a928)),x47081),f330(f8(a928,f935(a928,a928),f930(x47081)),f82(a928))),f330(f330(f7(x47081,f935(f930(x47081),a928),f935(f930(x47081),a928)),f330(f330(f8(f935(a928,a928),f935(f935(f930(x47081),a928),f935(f930(x47081),a928)),x47081),f8(a928,a928,f930(x47081))),f330(f330(f8(a928,f935(a928,a928),x47081),f82(a928)),x47082))),f128(x47081,x47082))))),f80(a928))),f330(f138(x47081),x47083)),f330(f128(x47081,x47082),x47083)) % 199.45/199.83 [4717]E(f330(f330(f88(a1,x47171),f222(f330(f330(f74(f934(a1,a1),a1,x47171,f259(a1,a1)),f216(x47171)),x47172),f330(f330(f74(f934(a1,a1),a1,x47171,f259(a1,a1)),f216(x47171)),x47173))),f330(f330(f18(a1,a1,x47171),f330(f330(f8(a1,f935(a1,x47171),a1),f205(x47171)),f330(f330(f18(a1,a1,a1),f330(f330(f8(a1,f935(a1,a1),a1),f82(a1)),f330(f330(f8(a1,a1,a1),f330(f83(a1),f330(f330(f74(f934(a1,a1),a1,x47171,f254(a1,a1)),f216(x47171)),x47172))),f330(f330(f7(a1,a1,a1),f37(a1)),f330(f330(f74(f934(a1,a1),a1,x47171,f259(a1,a1)),f216(x47171)),x47172))))),f330(f330(f8(a1,a1,a1),f330(f83(a1),f330(f330(f74(f934(a1,a1),a1,x47171,f254(a1,a1)),f216(x47171)),x47173))),f330(f330(f7(a1,a1,a1),f37(a1)),f330(f330(f74(f934(a1,a1),a1,x47171,f259(a1,a1)),f216(x47171)),x47173)))))),f5(a1))),f234(x47171,x47172,x47173)) % 199.45/199.83 [4758]~E(f330(f330(f154(x47581),x47582),x47583),x47583) % 199.45/199.83 [4765]~E(f330(f330(f154(x47651),x47652),x47653),f116(x47651)) % 199.45/199.83 [4783]~E(f330(f330(f312(x47831),x47832),x47833),f191(f935(x47831,a923))) % 199.45/199.83 [4805]~E(f330(f313(x48051,f935(x48051,a923),x48052),x48053),f330(f311(x48051),x48053)) % 199.45/199.83 [3611]E(f330(f330(f162(x36111,f116(x36111)),x36112),x36113),f116(x36111)) % 199.45/199.83 [3612]E(f330(f144(x36121),f330(f330(f154(x36121),x36122),x36123)),x36122) % 199.45/199.83 [3613]E(f330(f174(x36131),f330(f330(f154(x36131),x36132),x36133)),x36133) % 199.45/199.83 [3656]E(f330(f330(f141(x36561),f80(a928)),f330(f330(f154(x36561),x36562),x36563)),x36563) % 199.45/199.83 [3690]E(f117(x36901,f330(f330(f141(x36901),x36902),x36903)),f330(f330(f141(x36901),x36902),f117(x36901,x36903))) % 199.45/199.83 [3692]E(f330(f330(f162(x36921,x36922),x36923),f330(f330(f167(x36921),x36922),x36923)),x36922) % 199.45/199.83 [3713]E(f330(f330(f312(x37131),x37132),f330(f330(f312(x37131),x37132),x37133)),f330(f330(f312(x37131),x37132),x37133)) % 199.45/199.83 [3726]E(f330(f330(f312(x37261),x37262),f330(f175(x37261),x37263)),f330(f175(x37261),f330(f330(f154(x37261),x37262),x37263))) % 199.45/199.83 [3728]E(f330(f330(f141(x37281),x37282),f330(f174(x37281),x37283)),f330(f174(x37281),f330(f330(f141(x37281),x37282),x37283))) % 199.45/199.83 [3740]E(f330(f330(f178(x37401),f80(a928)),f330(f330(f154(x37401),x37402),x37403)),f330(f330(f154(x37401),x37402),f116(x37401))) % 199.45/199.83 [3783]E(f330(f64(x37831,x37832),f330(f330(f312(x37831),x37833),f191(f935(x37831,a923)))),x37833) % 199.45/199.83 [3826]E(f330(f330(f82(a928),x38261),f330(f330(f82(a928),x38262),x38263)),f330(f330(f82(a928),x38262),f330(f330(f82(a928),x38261),x38263))) % 199.45/199.83 [3827]E(f330(f330(f82(a1),x38271),f330(f330(f82(a1),x38272),x38273)),f330(f330(f82(a1),x38272),f330(f330(f82(a1),x38271),x38273))) % 199.45/199.83 [3832]E(f330(f330(f257(x38321,x38322),f191(f935(x38321,a923))),x38323),f191(f935(f934(x38321,x38322),a923))) % 199.45/199.83 [3857]E(f330(f330(f104(f935(x38571,a923)),x38572),x38573),f330(f330(f104(f935(x38571,a923)),x38573),x38572)) % 199.45/199.83 [3858]E(f330(f330(f113(f935(x38581,a923)),x38582),x38583),f330(f330(f113(f935(x38581,a923)),x38583),x38582)) % 199.45/199.83 [3860]E(f330(f330(f137(x38601),x38602),f330(f330(f154(x38601),x38603),f116(x38601))),f330(f170(x38601),f330(f330(f154(x38601),x38603),x38602))) % 199.45/199.83 [3861]E(f330(f330(f137(x38611),f330(f171(x38611),x38612)),f330(f171(x38611),x38613)),f330(f171(x38611),f330(f330(f137(x38611),x38613),x38612))) % 199.45/199.83 [3871]E(f330(f174(x38711),f330(f330(f178(x38711),f330(a115,x38712)),x38713)),f330(f330(f178(x38711),x38712),f330(f174(x38711),x38713))) % 199.45/199.83 [3879]P108(f330(f330(f332(x38791),x38792),f330(f330(f312(x38791),x38792),x38793))) % 199.45/199.83 [3883]E(f330(f330(f41(x38831,f935(x38832,a923)),f191(f935(x38831,a923))),x38833),f245(f935(x38832,a923))) % 199.45/199.83 [3886]E(f330(f288(x38861,x38861,f266(x38861,x38862)),x38863),f330(f330(f104(f935(x38861,a923)),x38862),x38863)) % 199.45/199.83 [3900]E(f330(f192(f929(x39001)),f330(f330(f154(x39001),x39002),x39003)),f330(f330(f82(a928),f330(f192(f929(x39001)),x39003)),f330(a115,f2(a928)))) % 199.45/199.83 [3905]E(f117(x39051,f330(f330(f137(x39051),x39052),f330(f330(f154(x39051),x39053),f116(x39051)))),x39052) % 199.45/199.83 [3906]E(f147(x39061,f330(f330(f137(x39061),x39062),f330(f330(f154(x39061),x39063),f116(x39061)))),x39063) % 199.45/199.83 [3915]E(f330(f330(f137(x39151),f330(f330(f178(x39151),x39152),x39153)),f330(f330(f141(x39151),x39152),x39153)),x39153) % 199.45/199.83 [3924]E(f330(f330(f23(a928),f330(f330(f82(a928),x39241),x39242)),f330(f330(f82(a928),x39243),x39242)),f330(f330(f23(a928),x39241),x39243)) % 199.45/199.83 [3925]E(f330(f330(f23(a928),f330(f330(f82(a928),x39251),x39252)),f330(f330(f82(a928),x39251),x39253)),f330(f330(f23(a928),x39252),x39253)) % 199.45/199.83 [3931]E(f330(f330(f137(x39311),f330(f171(x39311),x39312)),f330(f330(f154(x39311),x39313),f116(x39311))),f330(f171(x39311),f330(f330(f154(x39311),x39313),x39312))) % 199.45/199.83 [3933]E(f330(f330(f82(a928),f330(f192(f929(x39331)),x39332)),f330(f192(f929(x39331)),x39333)),f330(f192(f929(x39331)),f330(f330(f137(x39331),x39332),x39333))) % 199.45/199.83 [3936]E(f330(f330(f82(a928),f330(f192(f929(x39361)),x39362)),f330(f192(f929(x39361)),x39363)),f330(f192(f929(x39361)),f176(x39361,x39362,x39363))) % 199.45/199.83 [3943]E(f330(f330(f113(f935(x39431,a923)),f330(f175(x39431),x39432)),f330(f175(x39431),x39433)),f330(f175(x39431),f330(f330(f137(x39431),x39432),x39433))) % 199.45/199.83 [3944]E(f46(a928,f330(f330(f83(a928),x39441),x39442),f330(f330(f83(a928),x39441),x39443)),f330(f330(f83(a928),x39441),f46(a928,x39442,x39443))) % 199.45/199.83 [3956]E(f330(f330(f178(x39561),f330(f330(f23(a928),x39562),f80(a928))),f330(f174(x39561),x39563)),f330(f174(x39561),f330(f330(f178(x39561),x39562),x39563))) % 199.45/199.83 [3961]E(f330(f330(f104(f935(x39611,a923)),x39612),f330(f81(f935(x39611,a923)),x39613)),f330(f330(f23(f935(x39611,a923)),x39612),x39613)) % 199.45/199.83 [3962]E(f330(f330(f23(f935(x39621,a923)),x39622),f330(f81(f935(x39621,a923)),x39623)),f330(f330(f104(f935(x39621,a923)),x39622),x39623)) % 199.45/199.83 [3985]E(f330(f330(f257(x39851,x39852),x39853),f330(f16(f935(x39852,a923),x39851),f191(f935(x39852,a923)))),f191(f935(f934(x39851,x39852),a923))) % 199.45/199.83 [3987]E(f330(f330(f23(a928),f330(f330(f83(a928),x39871),x39872)),f330(f330(f83(a928),x39871),x39873)),f330(f330(f83(a928),x39871),f330(f330(f23(a928),x39872),x39873))) % 199.45/199.83 [3988]E(f330(f330(f82(a928),f330(f330(f83(a928),x39881),x39882)),f330(f330(f83(a928),x39881),x39883)),f330(f330(f83(a928),x39881),f330(f330(f82(a928),x39882),x39883))) % 199.45/199.83 [3989]E(f330(f330(f23(a1),f330(f330(f83(a1),x39891),x39892)),f330(f330(f83(a1),x39891),x39893)),f330(f330(f83(a1),x39891),f330(f330(f23(a1),x39892),x39893))) % 199.45/199.83 [3990]E(f330(f330(f82(a1),f330(f330(f83(a1),x39901),x39902)),f330(f330(f83(a1),x39901),x39903)),f330(f330(f83(a1),x39901),f330(f330(f82(a1),x39902),x39903))) % 199.45/199.83 [3991]E(f330(f330(f83(a1),f330(f330(f247(a1),x39911),x39912)),f330(f330(f247(a1),x39911),x39913)),f330(f330(f247(a1),x39911),f330(f330(f82(a928),x39912),x39913))) % 199.45/199.83 [4005]E(f330(f330(f40(x40051,f935(x40052,a923)),x40053),f330(f16(f935(x40052,a923),x40051),f191(f935(x40052,a923)))),f191(f935(x40052,a923))) % 199.45/199.83 [4007]E(f46(a928,f330(f330(f83(a928),x40071),x40072),f330(f330(f83(a928),x40073),x40072)),f330(f330(f83(a928),f46(a928,x40071,x40073)),x40072)) % 199.45/199.83 [4012]E(f46(a1,f330(f330(f23(a1),x40121),f46(a1,x40122,x40123)),x40123),f46(a1,f330(f330(f23(a1),x40121),x40122),x40123)) % 199.45/199.83 [4013]E(f46(a1,f330(f330(f83(a1),x40131),f46(a1,x40132,x40133)),x40133),f46(a1,f330(f330(f83(a1),x40131),x40132),x40133)) % 199.45/199.83 [4014]P108(f330(f330(f238(f935(x40141,a923)),x40142),f330(f330(f312(x40141),x40143),x40142))) % 199.45/199.83 [4091]E(f330(f330(f40(f935(x40911,a923),f935(x40911,a923)),x40912),f330(f104(f935(x40911,a923)),x40913)),f330(f330(f104(f935(x40911,a923)),x40913),f38(f935(x40911,a923),x40912))) % 199.45/199.83 [4092]E(f330(f330(f41(f935(x40921,a923),f935(x40921,a923)),x40922),f330(f113(f935(x40921,a923)),x40923)),f330(f330(f113(f935(x40921,a923)),x40923),f39(f935(x40921,a923),x40922))) % 199.45/199.83 [4104]E(f330(f175(x41041),f330(f330(f330(f186(f929(x41041),f929(x41041)),x41042),f170(x41041)),x41043)),f330(f175(x41041),x41043)) % 199.45/199.83 [4108]E(f330(f330(f178(x41081),f330(f192(f929(x41081)),f180(x41081,x41082,x41083))),x41083),f180(x41081,x41082,x41083)) % 199.45/199.83 [4112]E(f330(f192(f929(x41121)),f330(f330(f330(f186(f929(x41121),f929(x41121)),x41122),f170(x41121)),x41123)),f330(f192(f929(x41121)),x41123)) % 199.45/199.83 [4115]E(f330(f330(f260(x41151,x41152,x41152),f330(f16(f935(x41152,x41152),x41151),f5(x41152))),x41153),f330(f259(x41151,x41152),x41153)) % 199.45/199.83 [4122]E(f46(a1,f330(f330(f23(a1),f46(a1,x41221,x41222)),x41223),x41222),f46(a1,f330(f330(f23(a1),x41221),x41223),x41222)) % 199.45/199.83 [4123]E(f46(a1,f330(f330(f247(a1),f46(a1,x41231,x41232)),x41233),x41232),f46(a1,f330(f330(f247(a1),x41231),x41233),x41232)) % 199.45/199.83 [4126]E(f330(f330(f40(f935(f934(x41261,x41262),a923),f935(x41262,a923)),x41263),f287(x41261,x41262)),f330(f287(x41261,x41262),f38(f935(f934(x41261,x41262),a923),x41263))) % 199.45/199.83 [4127]E(f330(f330(f40(f935(f934(x41271,x41272),a923),f935(x41271,a923)),x41273),f267(x41271,x41272)),f330(f267(x41271,x41272),f38(f935(f934(x41271,x41272),a923),x41273))) % 199.45/199.83 [4151]E(f330(f74(x41511,x41511,x41511,x41512),f330(f330(f186(x41511,x41511),x41513),x41512)),f330(f330(f186(x41511,x41511),f330(a115,x41513)),x41512)) % 199.45/199.83 [4169]E(f330(f330(f141(x41691),f330(f330(f23(a928),f330(f192(f929(x41691)),x41692)),x41693)),f330(f171(x41691),x41692)),f330(f171(x41691),f330(f330(f178(x41691),x41693),x41692))) % 199.45/199.83 [4170]E(f330(f330(f178(x41701),f330(f330(f23(a928),f330(f192(f929(x41701)),x41702)),x41703)),f330(f171(x41701),x41702)),f330(f171(x41701),f330(f330(f141(x41701),x41703),x41702))) % 199.45/199.83 [4172]E(f330(f330(f82(a928),f330(f168(a928),f330(f330(f157(x41721,a928),x41722),x41723))),f330(f192(f929(x41721)),x41723)),f158(x41721,x41722,x41723)) % 199.45/199.83 [4192]E(f330(f170(x41921),f330(f330(f330(f186(f929(x41921),f929(x41921)),x41922),f170(x41921)),x41923)),f330(f330(f330(f186(f929(x41921),f929(x41921)),f330(a115,x41922)),f170(x41921)),x41923)) % 199.45/199.83 [4206]P108(f330(f330(f238(a928),f330(f192(f929(x42061)),f330(f139(x42061,x42062),x42063))),f330(f192(f929(x42061)),x42063))) % 199.45/199.83 [4222]E(f330(f330(f113(f935(f935(x42221,a923),a923)),f330(f311(x42221),x42222)),f330(f313(f935(x42221,a923),f935(x42221,a923),f330(f312(x42221),x42223)),f330(f311(x42221),x42222))),f330(f311(x42221),f330(f330(f312(x42221),x42223),x42222))) % 199.45/199.83 [4241]P24(x42411,x42412,f330(f330(f312(f927(x42411)),f330(f330(f330(f93(x42411),x42413),a25),x42413)),f191(f935(f927(x42411),a923)))) % 199.45/199.83 [4256]P108(f330(f330(f238(a928),f330(f192(f929(x42561)),f180(x42561,x42562,x42563))),f330(f192(f929(x42561)),x42563))) % 199.45/199.83 [4263]E(f330(f267(x42631,x42632),f330(f265(f934(x42631,x42632)),f330(f260(x42631,x42632,a923),x42633))),f330(f265(x42631),f330(f330(f8(f935(x42632,a923),a923,x42631),f89(x42632)),x42633))) % 199.45/199.83 [4275]E(f330(f313(a928,a928,f330(f330(f7(a928,a928,a928),f82(a928)),x42751)),f306(a928,x42752,x42753)),f306(a928,f330(f330(f82(a928),x42752),x42751),f330(f330(f82(a928),x42753),x42751))) % 199.45/199.83 [4289]E(f330(f313(a928,a928,f330(f330(f7(a928,a928,a928),f82(a928)),x42891)),f330(f305(a928,x42892),x42893)),f330(f305(a928,f330(f330(f82(a928),x42892),x42891)),f330(f330(f82(a928),x42893),x42891))) % 199.45/199.83 [4307]E(f330(f330(f184(x43071,x43072),f330(f330(f157(f934(x43071,x43072),x43071),f254(x43071,x43072)),x43073)),f330(f330(f157(f934(x43071,x43072),x43072),f259(x43071,x43072)),x43073)),x43073) % 199.45/199.83 [4312]E(f330(f330(f82(a928),f330(f330(f83(a928),x43121),f46(a928,f330(f330(f37(a928),x43122),x43121),x43123))),f46(a928,x43122,x43121)),f46(a928,x43122,f330(f330(f83(a928),x43121),x43123))) % 199.45/199.83 [4325]E(f330(f330(f137(x43251),x43252),f330(f145(f929(x43251),f929(x43251),f137(x43251),f116(x43251)),x43253)),f330(f145(f929(x43251),f929(x43251),f137(x43251),x43252),x43253)) % 199.45/199.83 [4346]P108(f330(f330(f332(f934(x43461,x43461)),f330(f330(f255(x43461,x43461),x43462),x43462)),f330(f330(f186(f934(x43461,x43461),a923),f2(a928)),x43463))) % 199.45/199.83 [4351]E(f330(f265(x43511),f330(f330(f8(f935(x43512,a923),a923,x43511),f89(x43512)),f330(f7(x43512,x43511,a923),x43513))),f330(f287(x43512,x43511),f330(f265(f934(x43512,x43511)),f330(f260(x43512,x43511,a923),x43513)))) % 199.45/199.83 [4368]E(f330(f330(f113(f935(x43681,a923)),f330(f330(f40(a928,f935(x43681,a923)),f306(a928,f80(a928),x43682)),x43683)),f330(x43683,f2(a928))),f330(f330(f40(a928,f935(x43681,a923)),f330(f304(a928),x43682)),x43683)) % 199.45/199.83 [4383]E(f330(f145(f929(x43831),f929(x43831),f137(x43831),f116(x43831)),f330(f330(f157(f929(x43831),f929(x43831)),f139(x43831,x43832)),x43833)),f330(f139(x43831,x43832),f330(f145(f929(x43831),f929(x43831),f137(x43831),f116(x43831)),x43833))) % 199.45/199.83 [4387]E(f330(f259(f929(x43871),f929(x43871)),f169(x43871,x43872,x43873)),f330(f139(x43871,f330(f74(a923,a923,x43871,a325),x43872)),x43873)) % 199.45/199.83 [4432]E(f330(f330(f82(a1),f330(f330(f82(a1),f330(f330(f83(a1),x44321),f330(f330(f37(a1),x44322),x44321))),f46(a1,x44322,x44321))),x44323),f330(f330(f82(a1),x44322),x44323)) % 199.45/199.83 [4470]E(f330(f330(f82(a1),f330(f330(f82(a1),f330(f330(f83(a1),f330(f330(f37(a1),x44701),x44702)),x44702)),f46(a1,x44701,x44702))),x44703),f330(f330(f82(a1),x44701),x44703)) % 199.45/199.83 [4496]E(f87(f934(x44961,x44962),f330(f260(x44961,x44962,a923),f330(f330(f8(f935(x44962,f934(x44961,x44962)),f935(x44962,a923),x44961),f330(f8(f934(x44961,x44962),a923,x44962),x44963)),f255(x44961,x44962)))),f87(f934(x44961,x44962),x44963)) % 199.45/199.83 [4497]E(f92(f934(x44971,x44972),f330(f260(x44971,x44972,a923),f330(f330(f8(f935(x44972,f934(x44971,x44972)),f935(x44972,a923),x44971),f330(f8(f934(x44971,x44972),a923,x44972),x44973)),f255(x44971,x44972)))),f92(f934(x44971,x44972),x44973)) % 199.45/199.83 [4524]P108(f330(f330(f238(f935(x45241,a923)),f38(f935(x45241,a923),f330(f330(f104(f935(f935(x45241,a923),a923)),x45242),x45243))),f330(f330(f104(f935(x45241,a923)),f38(f935(x45241,a923),x45242)),f38(f935(x45241,a923),x45243)))) % 199.45/199.83 [4525]E(f330(f171(x45251),f330(f330(f330(f186(f929(x45251),f929(x45251)),f330(f330(f23(a928),f330(f192(f929(x45251)),x45252)),f46(a928,x45253,f330(f192(f929(x45251)),x45252)))),f170(x45251)),x45252)),f330(f330(f330(f186(f929(x45251),f929(x45251)),x45253),f170(x45251)),f330(f171(x45251),x45252))) % 199.45/199.83 [4562]P108(f330(f330(f238(a928),f330(f192(f929(x45621)),f330(f330(f141(x45621),f330(f192(f929(x45621)),f180(x45621,x45622,x45623))),x45623))),f330(f192(f929(x45621)),x45623))) % 199.45/199.83 [4817]~P108(f330(f63(x48171,x48172,f191(f935(x48171,a923))),x48173)) % 199.45/199.83 [4822]~P108(f330(f330(f332(f934(x48221,x48221)),f330(f330(f255(x48221,x48221),x48222),x48223)),f156(x48221,f116(f935(x48221,a928))))) % 199.45/199.83 [3872]E(f330(f192(f929(x38721)),f330(f330(f178(x38721),x38722),x38723)),f330(f330(f236(a928),f330(f192(f929(x38721)),x38723)),x38722)) % 199.45/199.83 [3873]E(f330(f192(f929(x38731)),f330(f330(f141(x38731),x38732),x38733)),f330(f330(f23(a928),f330(f192(f929(x38731)),x38733)),x38732)) % 199.45/199.83 [3899]E(f330(f192(f929(f929(x38991))),f56(x38991,x38992,x38993)),f330(f330(f247(a928),f330(f192(f929(x38991)),x38993)),x38992)) % 199.45/199.83 [3917]E(f330(f330(f37(a928),f330(f330(f37(a928),x39171),x39172)),x39173),f330(f330(f37(a928),x39171),f330(f330(f83(a928),x39172),x39173))) % 199.45/199.83 [3918]E(f330(f330(f23(a928),f330(f330(f23(a928),x39181),x39182)),x39183),f330(f330(f23(a928),x39181),f330(f330(f82(a928),x39182),x39183))) % 199.45/199.83 [3919]E(f330(f330(f83(a928),f330(f330(f83(a928),x39191),x39192)),x39193),f330(f330(f83(a928),x39191),f330(f330(f83(a928),x39192),x39193))) % 199.45/199.83 [3920]E(f330(f330(f83(a1),f330(f330(f83(a1),x39201),x39202)),x39203),f330(f330(f83(a1),x39201),f330(f330(f83(a1),x39202),x39203))) % 199.45/199.83 [3921]E(f330(f330(f82(a928),f330(f330(f82(a928),x39211),x39212)),x39213),f330(f330(f82(a928),x39211),f330(f330(f82(a928),x39212),x39213))) % 199.45/199.83 [3922]E(f330(f330(f82(a1),f330(f330(f82(a1),x39221),x39222)),x39223),f330(f330(f82(a1),x39221),f330(f330(f82(a1),x39222),x39223))) % 199.45/199.83 [3923]E(f330(f330(f247(a1),f330(f330(f247(a1),x39231),x39232)),x39233),f330(f330(f247(a1),x39231),f330(f330(f83(a928),x39232),x39233))) % 199.45/199.83 [3942]E(f165(x39421,f330(f330(f154(f935(x39421,a923)),x39422),x39423)),f177(x39421,x39422,f165(x39421,x39423))) % 199.45/199.83 [3986]E(f330(f330(f23(a928),f330(f330(f23(a928),x39861),x39862)),x39863),f330(f330(f23(a928),f330(f330(f23(a928),x39861),x39863)),x39862)) % 199.45/199.83 [3994]E(f330(f330(f104(f935(x39941,a923)),x39942),f330(f330(f23(f935(x39941,a923)),x39943),x39942)),f191(f935(x39941,a923))) % 199.45/199.83 [3998]E(f330(f330(f157(a928,x39981),f330(f16(x39981,a928),x39982)),f142(a928,f330(f305(a928,f2(a928)),x39983))),f172(x39981,x39983,x39982)) % 199.45/199.83 [4036]E(f39(f935(x40361,a923),f330(f330(f312(f935(x40361,a923)),x40362),x40363)),f330(f330(f104(f935(x40361,a923)),x40362),f39(f935(x40361,a923),x40363))) % 199.45/199.83 [4037]E(f38(f935(x40371,a923),f330(f330(f312(f935(x40371,a923)),x40372),x40373)),f330(f330(f113(f935(x40371,a923)),x40372),f38(f935(x40371,a923),x40373))) % 199.45/199.83 [4039]E(f172(x40391,f330(f192(f929(x40391)),f330(f139(x40391,f330(a327,x40392)),x40393)),x40392),f330(f139(x40391,f330(a327,x40392)),x40393)) % 199.45/199.83 [4041]E(f330(f330(f23(a928),f330(f330(f83(a928),x40411),x40412)),f330(f330(f83(a928),x40413),x40412)),f330(f330(f83(a928),f330(f330(f23(a928),x40411),x40413)),x40412)) % 199.45/199.83 [4042]E(f330(f330(f82(a928),f330(f330(f83(a928),x40421),x40422)),f330(f330(f83(a928),x40423),x40422)),f330(f330(f83(a928),f330(f330(f82(a928),x40421),x40423)),x40422)) % 199.45/199.83 [4043]E(f330(f330(f23(a1),f330(f330(f83(a1),x40431),x40432)),f330(f330(f83(a1),x40433),x40432)),f330(f330(f83(a1),f330(f330(f23(a1),x40431),x40433)),x40432)) % 199.45/199.83 [4044]E(f330(f330(f82(a1),f330(f330(f83(a1),x40441),x40442)),f330(f330(f83(a1),x40443),x40442)),f330(f330(f83(a1),f330(f330(f82(a1),x40441),x40443)),x40442)) % 199.45/199.83 [4046]E(f330(f330(f236(a928),f330(f330(f23(a928),x40461),x40462)),f330(f330(f23(a928),x40463),x40462)),f330(f330(f23(a928),f330(f330(f236(a928),x40461),x40463)),x40462)) % 199.45/199.83 [4068]E(f330(f330(f104(f935(f929(x40681),a923)),f163(x40681,x40682)),f163(x40681,x40683)),f163(x40681,f330(f330(f104(f935(x40681,a923)),x40682),x40683))) % 199.45/199.83 [4071]E(f330(f330(f104(f935(x40711,a923)),x40712),f330(f330(f104(f935(x40711,a923)),x40712),x40713)),f330(f330(f104(f935(x40711,a923)),x40712),x40713)) % 199.45/199.83 [4072]E(f330(f330(f113(f935(x40721,a923)),x40722),f330(f330(f23(f935(x40721,a923)),x40723),x40722)),f330(f330(f113(f935(x40721,a923)),x40722),x40723)) % 199.45/199.83 [4073]E(f330(f330(f113(f935(x40731,a923)),x40732),f330(f330(f113(f935(x40731,a923)),x40732),x40733)),f330(f330(f113(f935(x40731,a923)),x40732),x40733)) % 199.45/199.83 [4085]E(f330(f330(f292(x40851,x40852,x40852),x40853),f310(x40852,f191(f935(f934(x40852,x40852),a923)))),x40853) % 199.45/199.83 [4088]E(f330(f330(f113(f935(x40881,a923)),f330(f330(f312(x40881),x40882),f191(f935(x40881,a923)))),x40883),f330(f330(f312(x40881),x40882),x40883)) % 199.45/199.83 [4107]E(f330(f330(f23(a928),f330(f330(f23(a928),f330(a115,x41071)),x41072)),f330(a115,x41073)),f330(f330(f23(a928),f330(f330(f23(a928),x41071),x41072)),x41073)) % 199.45/199.83 [4135]E(f330(f330(f104(f935(f935(x41351,a923),a923)),f330(f311(x41351),x41352)),f330(f311(x41351),x41353)),f330(f311(x41351),f330(f330(f104(f935(x41351,a923)),x41352),x41353))) % 199.45/199.83 [4138]E(f330(f330(f113(f935(x41381,a923)),f330(f81(f935(x41381,a923)),x41382)),x41383),f330(f81(f935(x41381,a923)),f330(f330(f23(f935(x41381,a923)),x41382),x41383))) % 199.45/199.83 [4148]E(f330(f330(f312(x41481),x41482),f330(f330(f23(f935(x41481,a923)),x41483),f330(f330(f312(x41481),x41482),f191(f935(x41481,a923))))),f330(f330(f312(x41481),x41482),x41483)) % 199.45/199.83 [4158]P108(f330(f330(f238(f935(x41581,a923)),x41582),f330(f330(f113(f935(x41581,a923)),x41583),x41582))) % 199.45/199.83 [4159]P108(f330(f330(f238(f935(x41591,a923)),x41592),f330(f330(f113(f935(x41591,a923)),x41592),x41593))) % 199.45/199.83 [4163]E(f330(f330(f113(f935(x41631,a923)),f330(f81(f935(x41631,a923)),x41632)),f330(f81(f935(x41631,a923)),x41633)),f330(f81(f935(x41631,a923)),f330(f330(f104(f935(x41631,a923)),x41632),x41633))) % 199.45/199.83 [4164]E(f330(f330(f104(f935(x41641,a923)),f330(f81(f935(x41641,a923)),x41642)),f330(f81(f935(x41641,a923)),x41643)),f330(f81(f935(x41641,a923)),f330(f330(f113(f935(x41641,a923)),x41642),x41643))) % 199.45/199.83 [4178]P108(f330(f330(f238(f935(x41781,a923)),f330(f175(x41781),x41782)),f330(f175(x41781),f330(f330(f154(x41781),x41783),x41782)))) % 199.45/199.83 [4190]E(f330(f330(f113(f935(x41901,a923)),f330(f330(f23(f935(x41901,a923)),x41902),x41903)),f330(f330(f104(f935(x41901,a923)),x41902),x41903)),x41902) % 199.45/199.83 [4243]E(f330(f330(f9(x42431,a1),f330(f330(f8(a928,a1,x42431),f103(a1)),x42432)),x42433),f330(f103(a1),f330(f330(f9(x42431,a928),x42432),x42433))) % 199.45/199.83 [4244]E(f330(f330(f6(x42441,a1),f330(f330(f8(a928,a1,x42441),f103(a1)),x42442)),x42443),f330(f103(a1),f330(f330(f6(x42441,a928),x42442),x42443))) % 199.45/199.83 [4291]E(f330(f330(f137(x42911),f180(x42911,x42912,x42913)),f330(f330(f141(x42911),f330(f192(f929(x42911)),f180(x42911,x42912,x42913))),x42913)),x42913) % 199.45/199.83 [4295]E(f330(f81(f935(f934(x42951,x42952),a923)),f330(f330(f257(x42951,x42952),x42953),f330(f16(f935(x42952,a923),x42951),f245(f935(x42952,a923))))),f330(f330(f257(x42951,x42952),f330(f81(f935(x42951,a923)),x42953)),f330(f16(f935(x42952,a923),x42951),f245(f935(x42952,a923))))) % 199.45/199.83 [4296]E(f330(f81(f935(f934(x42961,x42962),a923)),f330(f330(f257(x42961,x42962),f245(f935(x42961,a923))),f330(f16(f935(x42962,a923),x42961),x42963))),f330(f330(f257(x42961,x42962),f245(f935(x42961,a923))),f330(f16(f935(x42962,a923),x42961),f330(f81(f935(x42962,a923)),x42963)))) % 199.45/199.83 [4347]E(f330(f330(f40(f935(x43471,a923),f935(x43471,a923)),x43472),f330(f330(f7(f935(x43471,a923),f935(x43471,a923),f935(x43471,a923)),f104(f935(x43471,a923))),x43473)),f330(f330(f104(f935(x43471,a923)),f38(f935(x43471,a923),x43472)),x43473)) % 199.45/199.83 [4353]E(f330(f145(f929(x43531),f929(x43531),f137(x43531),f116(x43531)),f330(f330(f154(f929(x43531)),x43532),x43533)),f330(f330(f137(x43531),x43532),f330(f145(f929(x43531),f929(x43531),f137(x43531),f116(x43531)),x43533))) % 199.45/199.83 [4374]E(f330(f330(f312(f935(x43741,a923)),f330(f288(x43741,x43741,x43742),f330(f330(f312(x43741),x43743),f191(f935(x43741,a923))))),f191(f935(f935(x43741,a923),a923))),f330(f330(f61(x43741),f330(f330(f312(x43741),x43743),f191(f935(x43741,a923)))),x43742)) % 199.45/199.83 [4384]E(f330(f330(f82(a928),f330(f330(f83(a928),x43841),f330(f330(f37(a928),x43842),x43843))),f330(f330(f37(a928),f330(f330(f83(a928),x43841),f46(a928,x43842,x43843))),x43843)),f330(f330(f37(a928),f330(f330(f83(a928),x43841),x43842)),x43843)) % 199.45/199.83 [4385]E(f330(f330(f82(a1),f330(f330(f83(a1),x43851),f330(f330(f37(a1),x43852),x43853))),f330(f330(f37(a1),f330(f330(f83(a1),x43851),f46(a1,x43852,x43853))),x43853)),f330(f330(f37(a1),f330(f330(f83(a1),x43851),x43852)),x43853)) % 199.45/199.83 [4417]E(f330(f330(f23(f935(x44171,a923)),f330(f175(x44171),x44172)),f330(f330(f312(x44171),x44173),f191(f935(x44171,a923)))),f330(f175(x44171),f330(f139(x44171,f330(f330(f8(a923,a923,x44171),a325),f330(a327,x44173))),x44172))) % 199.45/199.83 [4467]E(f330(f330(f137(x44671),f330(f145(f929(x44671),f929(x44671),f137(x44671),f116(x44671)),x44672)),f330(f145(f929(x44671),f929(x44671),f137(x44671),f116(x44671)),x44673)),f330(f145(f929(x44671),f929(x44671),f137(x44671),f116(x44671)),f330(f330(f137(f929(x44671)),x44672),x44673))) % 199.45/199.83 [4471]E(f330(f330(f255(f929(x44711),f929(x44711)),f330(f139(x44711,x44712),x44713)),f330(f139(x44711,f330(f74(a923,a923,x44711,a325),x44712)),x44713)),f169(x44711,x44712,x44713)) % 199.45/199.83 [4474]E(f330(f330(f82(a928),f330(f330(f82(a928),f330(f330(f37(a928),x44741),x44742)),f330(f330(f37(a928),x44743),x44742))),f330(f330(f37(a928),f330(f330(f82(a928),f46(a928,x44741,x44742)),f46(a928,x44743,x44742))),x44742)),f330(f330(f37(a928),f330(f330(f82(a928),x44741),x44743)),x44742)) % 199.45/199.83 [4475]E(f330(f330(f82(a1),f330(f330(f82(a1),f330(f330(f37(a1),x44751),x44752)),f330(f330(f37(a1),x44753),x44752))),f330(f330(f37(a1),f330(f330(f82(a1),f46(a1,x44751,x44752)),f46(a1,x44753,x44752))),x44752)),f330(f330(f37(a1),f330(f330(f82(a1),x44751),x44753)),x44752)) % 199.45/199.83 [4528]E(f330(f330(f104(f935(f929(x45281),a923)),f330(f330(f7(f929(x45281),f935(f929(x45281),a923),a923),f332(f929(x45281))),f164(x45281,x45282))),f330(f330(f7(f929(x45281),f935(f929(x45281),a923),a923),f332(f929(x45281))),f164(x45281,x45283))),f163(x45281,f330(f330(f104(f935(x45281,a923)),f330(f330(f7(x45281,f935(x45281,a923),a923),f332(x45281)),x45282)),f330(f330(f7(x45281,f935(x45281,a923),a923),f332(x45281)),x45283)))) % 199.45/199.83 [4540]E(f330(f265(x45401),f330(f330(f18(x45401,a923,a923),f330(f330(f8(a923,f935(a923,a923),x45401),a329),f330(f330(f7(x45401,x45401,a923),a327),x45402))),f330(f330(f7(x45401,f935(x45401,a923),a923),f332(x45401)),x45403))),f330(f330(f312(x45401),x45402),x45403)) % 199.45/199.83 [4560]E(f330(f330(f88(f929(f929(x45601)),f929(f929(x45601))),f55(x45601,x45602)),f330(f330(f18(f929(f929(x45601)),f929(f929(x45601)),f929(f929(x45601))),f330(f330(f8(f929(f929(x45601)),f935(f929(f929(x45601)),f929(f929(x45601))),f929(f929(x45601))),f137(f929(x45601))),f330(f157(f929(x45601),f929(x45601)),f330(f154(x45601),x45603)))),f5(f929(f929(x45601))))),f55(x45601,f330(f330(f154(x45601),x45603),x45602))) % 199.45/199.83 [4563]E(f330(f265(x45631),f330(f330(f18(x45631,a923,a923),f330(f330(f8(a923,f935(a923,a923),x45631),a328),f330(f330(f7(x45631,f935(x45631,a923),a923),f332(x45631)),x45632))),f330(f330(f7(x45631,f935(x45631,a923),a923),f332(x45631)),x45633))),f330(f330(f104(f935(x45631,a923)),x45632),x45633)) % 199.45/199.83 [4564]E(f330(f265(x45641),f330(f330(f18(x45641,a923,a923),f330(f330(f8(a923,f935(a923,a923),x45641),a329),f330(f330(f7(x45641,f935(x45641,a923),a923),f332(x45641)),x45642))),f330(f330(f7(x45641,f935(x45641,a923),a923),f332(x45641)),x45643))),f330(f330(f113(f935(x45641,a923)),x45642),x45643)) % 199.45/199.83 [4653]E(f330(f330(f40(x46531,f935(f935(x46531,a923),a923)),x46532),f330(f330(f7(x46531,f935(f935(x46531,a923),a923),f935(f935(x46531,a923),a923)),f330(f330(f8(f935(x46531,a923),f935(f935(f935(x46531,a923),a923),f935(f935(x46531,a923),a923)),x46531),f312(f935(x46531,a923))),f330(f330(f8(f935(x46531,a923),f935(x46531,a923),x46531),f288(x46531,x46531,x46533)),f330(f330(f7(x46531,f935(x46531,a923),f935(x46531,a923)),f312(x46531)),f191(f935(x46531,a923)))))),f191(f935(f935(x46531,a923),a923)))),f330(f330(f61(x46531),x46532),x46533)) % 199.45/199.83 [4655]E(f330(f330(f205(x46551),f330(f330(f83(a1),f330(f330(f74(f934(a1,a1),a1,x46551,f254(a1,a1)),f216(x46551)),x46552)),f330(f330(f74(f934(a1,a1),a1,x46551,f254(a1,a1)),f216(x46551)),x46553))),f330(f330(f83(a1),f330(f330(f74(f934(a1,a1),a1,x46551,f259(a1,a1)),f216(x46551)),x46552)),f330(f330(f74(f934(a1,a1),a1,x46551,f259(a1,a1)),f216(x46551)),x46553))),f232(x46551,x46552,x46553)) % 199.45/199.83 [4658]E(f330(f265(f929(x46581)),f330(f330(f18(f929(x46581),a923,a923),f330(f330(f8(a923,f935(a923,a923),f929(x46581)),a328),f330(f330(f7(f929(x46581),a928,a923),f330(f330(f8(a928,f935(a928,a923),f929(x46581)),a327),f192(f929(x46581)))),x46582))),f330(f330(f7(f929(x46581),f935(x46581,a923),a923),f330(f330(f8(f935(x46581,a923),f935(f935(x46581,a923),a923),f929(x46581)),f238(f935(x46581,a923))),f175(x46581))),f330(f175(x46581),x46583)))),f330(f175(f929(x46581)),f56(x46581,x46582,x46583))) % 199.45/199.83 [4059]E(f46(a928,f330(f330(f82(a928),f330(f330(f83(a928),x40591),x40592)),x40593),x40592),f46(a928,x40593,x40592)) % 199.45/199.83 [4106]E(f142(a928,f330(f305(a928,f330(f330(f82(a928),x41061),x41062)),x41063)),f330(f330(f141(a928),x41062),f142(a928,f330(f305(a928,x41061),x41063)))) % 199.45/199.83 [4147]E(f330(f330(f82(a1),f330(f103(a1),x41471)),f330(f330(f82(a1),f330(f103(a1),x41472)),x41473)),f330(f330(f82(a1),f330(f103(a1),f330(f330(f82(a928),x41471),x41472))),x41473)) % 199.45/199.83 [4154]E(f330(f330(f23(f935(x41541,a923)),f330(f330(f23(f935(x41541,a923)),x41542),x41543)),x41543),f330(f330(f23(f935(x41541,a923)),x41542),x41543)) % 199.45/199.83 [4155]E(f330(f330(f113(f935(x41551,a923)),f330(f330(f23(f935(x41551,a923)),x41552),x41553)),x41553),f330(f330(f113(f935(x41551,a923)),x41552),x41553)) % 199.45/199.83 [4179]E(f330(f330(f292(x41791,x41791,x41792),f310(x41791,f191(f935(f934(x41791,x41791),a923)))),x41793),x41793) % 199.45/199.83 [4187]E(f330(f330(f113(f935(x41871,a923)),f330(f284(x41871),x41872)),f330(f284(x41871),x41873)),f330(f284(x41871),f330(f330(f113(f935(f934(x41871,x41871),a923)),x41872),x41873))) % 199.45/199.83 [4197]E(f269(x41971,f330(f330(f154(f934(a102,x41971)),f330(f330(f255(a102,x41971),f2(a102)),x41972)),x41973)),f269(x41971,x41973)) % 199.45/199.83 [4199]E(f330(f330(f104(f935(x41991,a923)),f39(f935(x41991,a923),x41992)),f39(f935(x41991,a923),x41993)),f39(f935(x41991,a923),f330(f330(f113(f935(f935(x41991,a923),a923)),x41992),x41993))) % 199.45/199.83 [4200]E(f330(f330(f113(f935(x42001,a923)),f38(f935(x42001,a923),x42002)),f38(f935(x42001,a923),x42003)),f38(f935(x42001,a923),f330(f330(f113(f935(f935(x42001,a923),a923)),x42002),x42003))) % 199.45/199.83 [4237]E(f330(f330(f292(x42371,x42371,x42371),f330(f330(f186(f934(x42371,x42371),a923),x42372),x42373)),x42373),f330(f330(f186(f934(x42371,x42371),a923),f330(a115,x42372)),x42373)) % 199.45/199.83 [4283]P108(f330(f330(f238(f935(x42831,a923)),f330(f330(f23(f935(x42831,a923)),x42832),x42833)),x42832)) % 199.45/199.83 [4284]P108(f330(f330(f238(f935(x42841,a923)),f330(f330(f104(f935(x42841,a923)),x42842),x42843)),x42843)) % 199.45/199.83 [4285]P108(f330(f330(f238(f935(x42851,a923)),f330(f330(f104(f935(x42851,a923)),x42852),x42853)),x42852)) % 199.45/199.83 [4309]E(f310(x43091,f330(f330(f113(f935(f934(x43091,x43091),a923)),f310(x43091,x43092)),f310(x43091,x43093))),f310(x43091,f330(f330(f113(f935(f934(x43091,x43091),a923)),x43092),x43093))) % 199.45/199.83 [4313]E(f39(f935(x43131,a923),f330(f330(f312(f935(x43131,a923)),x43132),f330(f330(f312(f935(x43131,a923)),x43133),f191(f935(f935(x43131,a923),a923))))),f330(f330(f104(f935(x43131,a923)),x43132),x43133)) % 199.45/199.83 [4314]E(f38(f935(x43141,a923),f330(f330(f312(f935(x43141,a923)),x43142),f330(f330(f312(f935(x43141,a923)),x43143),f191(f935(f935(x43141,a923),a923))))),f330(f330(f113(f935(x43141,a923)),x43142),x43143)) % 199.45/199.83 [4319]E(f330(f330(f292(x43191,x43191,x43191),f330(f330(f186(f934(x43191,x43191),a923),x43192),x43193)),x43193),f330(f330(f292(x43191,x43191,x43191),x43193),f330(f330(f186(f934(x43191,x43191),a923),x43192),x43193))) % 199.45/199.83 [4388]E(f330(f330(f113(f935(x43881,a923)),f330(f265(x43881),f330(f330(f7(x43881,x43881,a923),a327),x43882))),x43883),f330(f330(f312(x43881),x43882),x43883)) % 199.45/199.83 [4390]E(f330(a107,f330(f330(f9(x43901,a1),f330(f330(f8(a928,a1,x43901),f103(a1)),x43902)),x43903)),f330(f330(f9(x43901,a928),x43902),x43903)) % 199.45/199.83 [4391]E(f330(a107,f330(f330(f6(x43911,a1),f330(f330(f8(a928,a1,x43911),f103(a1)),x43912)),x43913)),f330(f330(f6(x43911,a928),x43912),x43913)) % 199.45/199.83 [4464]E(f330(f159(f929(x44641),x44641,f330(f174(x44641),x44642),f330(f16(f935(f929(x44641),f929(x44641)),x44641),f330(f330(f7(f929(x44641),f929(x44641),f929(x44641)),f137(x44641)),x44642))),x44643),f330(f174(x44641),f330(f330(f137(x44641),x44643),x44642))) % 199.45/199.83 [4493]P108(f330(f330(f238(f935(f935(x44931,a923),a923)),f330(f330(f113(f935(f935(x44931,a923),a923)),f330(f311(x44931),x44932)),f330(f311(x44931),x44933))),f330(f311(x44931),f330(f330(f113(f935(x44931,a923)),x44932),x44933)))) % 199.45/199.83 [4582]E(f330(f265(x45821),f330(f330(f18(x45821,a923,a923),f330(f330(f8(a923,f935(a923,a923),x45821),a328),f330(f330(f7(x45821,f935(x45821,a923),a923),f332(x45821)),x45822))),f330(f330(f8(a923,a923,x45821),a325),f330(f330(f7(x45821,f935(x45821,a923),a923),f332(x45821)),x45823)))),f330(f330(f23(f935(x45821,a923)),x45822),x45823)) % 199.45/199.83 [4606]E(f330(f36(a928),f330(f265(a928),f330(f330(f18(a928,a923,a923),f330(f330(f8(a923,f935(a923,a923),a928),a328),f330(f330(f7(a928,a928,a923),f239(a928)),f330(f192(f929(x46061)),x46062)))),f330(f330(f8(x46061,a923,a928),x46063),f330(f167(x46061),x46062))))),f330(f192(f929(x46061)),f330(f139(x46061,x46063),x46062))) % 199.45/199.83 [4608]E(f330(f192(f929(x46081)),f179(x46081,x46082,x46083)),f330(f36(a928),f330(f265(a928),f330(f330(f18(a928,a923,a923),f330(f330(f8(a923,f935(a923,a923),a928),a328),f330(f330(f7(a928,a928,a923),f239(a928)),f330(f192(f929(x46081)),x46082)))),f330(f330(f7(a928,f935(a928,a923),a923),f332(a928)),x46083))))) % 199.45/199.83 [4704]E(f330(f330(f104(f935(f934(f929(x47041),f929(x47041)),a923)),f330(f313(f934(f934(x47041,f929(x47041)),f934(x47041,f929(x47041))),f934(f929(x47041),f929(x47041)),f261(f934(x47041,f929(x47041)),f929(x47041),f934(x47041,f929(x47041)),f929(x47041),f330(f260(x47041,f929(x47041),f929(x47041)),f154(x47041)),f330(f260(x47041,f929(x47041),f929(x47041)),f154(x47041)))),f322(x47041,f929(x47041),x47042,f330(f146(x47041,x47042),x47043)))),f330(f265(f934(f929(x47041),f929(x47041))),f330(f260(f929(x47041),f929(x47041),a923),f330(f330(f7(f929(x47041),f935(f929(x47041),a923),f935(f929(x47041),a923)),f330(f330(f8(f935(a923,a923),f935(f935(f929(x47041),a923),f935(f929(x47041),a923)),f929(x47041)),f8(a923,a923,f929(x47041))),f330(f330(f8(a923,f935(a923,a923),f929(x47041)),a328),f330(f330(f7(f929(x47041),a928,a923),f330(f330(f8(a928,f935(a928,a923),f929(x47041)),a327),f192(f929(x47041)))),f330(a115,x47043))))),f330(f330(f7(f929(x47041),a928,a923),f330(f330(f8(a928,f935(a928,a923),f929(x47041)),a327),f192(f929(x47041)))),f330(a115,x47043)))))),f330(f146(x47041,x47042),f330(a115,x47043))) % 199.45/199.83 [4201]E(f46(a928,f330(a115,f330(f330(f82(a928),f330(f330(f83(a928),x42011),x42012)),x42013)),x42012),f46(a928,f330(a115,x42013),x42012)) % 199.45/199.83 [4450]E(f330(f265(x44501),f330(f330(f18(x44501,a923,a923),f330(f330(f8(a923,f935(a923,a923),x44501),a328),x44502)),x44503)),f330(f330(f104(f935(x44501,a923)),f330(f265(x44501),x44502)),f330(f265(x44501),x44503))) % 199.45/199.83 [4451]E(f330(f265(x44511),f330(f330(f18(x44511,a923,a923),f330(f330(f8(a923,f935(a923,a923),x44511),a329),x44512)),x44513)),f330(f330(f113(f935(x44511,a923)),f330(f265(x44511),x44512)),f330(f265(x44511),x44513))) % 199.45/199.83 [4453]E(f330(f330(f137(x44531),f330(f330(f141(x44531),f46(a928,x44532,f330(f192(f929(x44531)),x44533))),x44533)),f330(f330(f178(x44531),f46(a928,x44532,f330(f192(f929(x44531)),x44533))),x44533)),f330(f330(f330(f186(f929(x44531),f929(x44531)),x44532),f170(x44531)),x44533)) % 199.45/199.83 [4459]E(f330(f265(x44591),f330(f330(f18(x44591,a923,a923),f330(f330(f8(a923,f935(a923,a923),x44591),a333),x44592)),x44593)),f330(f330(f113(f935(x44591,a923)),f330(f81(f935(x44591,a923)),f330(f265(x44591),x44592))),f330(f265(x44591),x44593))) % 199.45/199.83 [4476]E(f330(f330(f82(a928),f330(f192(f929(x44761)),f330(f139(x44761,x44762),x44763))),f330(f192(f929(x44761)),f330(f139(x44761,f330(f330(f8(a923,a923,x44761),a325),x44762)),x44763))),f330(f192(f929(x44761)),x44763)) % 199.45/199.83 [4499]P108(f330(f330(f238(f935(x44991,a923)),f330(f330(f113(f935(x44991,a923)),f39(f935(x44991,a923),x44992)),f39(f935(x44991,a923),x44993))),f39(f935(x44991,a923),f330(f330(f104(f935(f935(x44991,a923),a923)),x44992),x44993)))) % 199.45/199.83 [4513]E(f330(f175(x45131),f330(f139(x45131,f330(f330(f8(a923,a923,x45131),a325),f330(f330(f7(x45131,x45131,a923),a327),x45132))),x45133)),f330(f330(f23(f935(x45131,a923)),f330(f175(x45131),x45133)),f330(f330(f312(x45131),x45132),f191(f935(x45131,a923))))) % 199.45/199.83 [4522]P108(f330(f330(f238(f935(f934(x45221,x45221),a923)),f330(f330(f113(f935(f934(x45221,x45221),a923)),f310(x45221,x45222)),f310(x45221,x45223))),f310(x45221,f330(f330(f113(f935(f934(x45221,x45221),a923)),x45222),x45223)))) % 199.45/199.83 [4545]E(f330(f330(f83(a928),f330(a115,f330(a115,f2(a928)))),f330(f330(f6(a928,a928),f330(f330(f8(a928,a928,a928),f330(f82(a928),x45451)),f330(f330(f7(a928,a928,a928),f83(a928)),x45452))),f330(f285(a928),x45453))),f330(f330(f83(a928),x45453),f330(f330(f82(a928),x45451),f330(f330(f82(a928),x45451),f330(f330(f83(a928),f330(f330(f23(a928),x45453),f80(a928))),x45452))))) % 199.45/199.83 [4555]E(f330(f265(x45551),f330(f330(f18(x45551,a923,a923),f330(f330(f8(a923,f935(a923,a923),x45551),a328),f330(f330(f7(x45551,f935(x45551,a923),a923),f332(x45551)),f330(f175(x45551),x45552)))),x45553)),f330(f175(x45551),f330(f139(x45551,x45553),x45552))) % 199.45/199.83 [4703]E(f330(f265(x47031),f330(f330(f8(f935(a928,a923),a923,x47031),f89(a928)),f330(f330(f7(x47031,f935(a928,a923),f935(a928,a923)),f330(f330(f8(f935(a928,f935(a923,a923)),f935(f935(a928,a923),f935(a928,a923)),x47031),f18(a928,a923,a923)),f330(f330(f8(f935(a928,a923),f935(a928,f935(a923,a923)),x47031),f330(f8(a923,f935(a923,a923),a928),a328)),f330(f330(f7(x47031,f935(a928,x47031),f935(a928,a923)),f330(f330(f8(f935(x47031,a923),f935(f935(a928,x47031),f935(a928,a923)),x47031),f8(x47031,a923,a928)),a327)),f330(f167(x47031),x47032))))),f330(f330(f18(a928,a923,a923),f330(f330(f8(a923,f935(a923,a923),a928),a328),f330(f330(f7(a928,a928,a923),f239(a928)),f330(f192(f929(x47031)),x47032)))),f330(f330(f7(a928,f935(a928,a923),a923),f332(a928)),x47033))))),f330(f175(x47031),f179(x47031,x47032,x47033))) % 199.45/199.83 [4595]E(f330(f265(x45951),f330(f330(f18(x45951,a923,a923),f330(f330(f8(a923,f935(a923,a923),x45951),a333),f330(f330(f8(a923,a923,x45951),a325),f330(f330(f7(x45951,x45951,a923),a327),x45952)))),x45953)),f330(f330(f312(x45951),x45952),f330(f265(x45951),x45953))) % 199.45/199.83 [4627]E(f330(f330(f157(f934(x46271,a928),x46271),f254(x46271,a928)),f330(f139(f934(x46271,a928),f330(f330(f7(f934(x46271,a928),f935(a928,a923),a923),f330(f330(f8(a928,f935(f935(a928,a923),a923),f934(x46271,a928)),f332(a928)),f259(x46271,a928))),x46272)),f330(f330(f184(x46271,a928),x46273),f142(a928,f330(f305(a928,f2(a928)),f330(f192(f929(x46271)),x46273)))))),f179(x46271,x46273,x46272)) % 199.45/199.83 [4654]E(f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f6(a928,a1),f330(f330(f8(a1,a1,a928),f330(f82(a1),x46541)),f330(f330(f7(a928,a1,a1),f330(f330(f8(a1,f935(a1,a1),a928),f83(a1)),f103(a1))),x46542))),f330(f285(a928),x46543))),f330(f330(f83(a1),f330(f103(a1),x46543)),f330(f330(f82(a1),x46541),f330(f330(f82(a1),x46541),f330(f330(f83(a1),f330(f103(a1),f330(f330(f23(a928),x46543),f80(a928)))),x46542))))) % 199.45/199.83 [4696]E(f330(f265(f934(x46961,x46962)),f330(f260(x46961,x46962,a923),f330(f330(f7(x46961,f935(f934(x46962,x46961),a923),f935(x46962,a923)),f330(f330(f8(f935(x46962,f935(f935(f934(x46962,x46961),a923),a923)),f935(f935(f934(x46962,x46961),a923),f935(x46962,a923)),x46961),f7(x46962,f935(f934(x46962,x46961),a923),a923)),f330(f330(f8(f935(x46962,f934(x46962,x46961)),f935(x46962,f935(f935(f934(x46962,x46961),a923),a923)),x46961),f330(f8(f934(x46962,x46961),f935(f935(f934(x46962,x46961),a923),a923),x46962),f332(f934(x46962,x46961)))),f330(f7(x46962,x46961,f934(x46962,x46961)),f255(x46962,x46961))))),x46963))),f330(f289(x46962,x46961),x46963)) % 199.45/199.83 [4725]E(f330(f265(f929(x47251)),f330(f330(f8(f935(x47251,a923),a923,f929(x47251)),f89(x47251)),f330(f330(f8(f935(x47251,f935(f929(x47251),a923)),f935(x47251,a923),f929(x47251)),f330(f8(f935(f929(x47251),a923),a923,x47251),f89(f929(x47251)))),f330(f330(f7(f929(x47251),f935(x47251,f935(f929(x47251),a923)),f935(x47251,f935(f929(x47251),a923))),f330(f330(f8(f935(x47251,f935(f935(f929(x47251),a923),f935(f929(x47251),a923))),f935(f935(x47251,f935(f929(x47251),a923)),f935(x47251,f935(f929(x47251),a923))),f929(x47251)),f18(x47251,f935(f929(x47251),a923),f935(f929(x47251),a923))),f330(f330(f8(f935(x47251,f935(f929(x47251),f935(a923,a923))),f935(x47251,f935(f935(f929(x47251),a923),f935(f929(x47251),a923))),f929(x47251)),f330(f8(f935(f929(x47251),f935(a923,a923)),f935(f935(f929(x47251),a923),f935(f929(x47251),a923)),x47251),f18(f929(x47251),a923,a923))),f330(f330(f8(f935(x47251,f935(f929(x47251),a923)),f935(x47251,f935(f929(x47251),f935(a923,a923))),f929(x47251)),f330(f8(f935(f929(x47251),a923),f935(f929(x47251),f935(a923,a923)),x47251),f330(f8(a923,f935(a923,a923),f929(x47251)),a328))),f330(f330(f7(f929(x47251),f935(x47251,f935(f929(x47251),f929(x47251))),f935(x47251,f935(f929(x47251),a923))),f330(f330(f8(f935(f935(f929(x47251),f929(x47251)),f935(f929(x47251),a923)),f935(f935(x47251,f935(f929(x47251),f929(x47251))),f935(x47251,f935(f929(x47251),a923))),f929(x47251)),f8(f935(f929(x47251),f929(x47251)),f935(f929(x47251),a923),x47251)),f330(f330(f8(f935(f929(x47251),a923),f935(f935(f929(x47251),f929(x47251)),f935(f929(x47251),a923)),f929(x47251)),f8(f929(x47251),a923,f929(x47251))),a327))),f154(x47251)))))),f330(f330(f7(x47251,f935(f929(x47251),a923),f935(f929(x47251),a923)),f330(f330(f8(f935(a923,a923),f935(f935(f929(x47251),a923),f935(f929(x47251),a923)),x47251),f8(a923,a923,f929(x47251))),f330(f330(f8(a923,f935(a923,a923),x47251),a328),f330(f330(f7(x47251,f935(x47251,a923),a923),f332(x47251)),x47252)))),f330(f330(f7(f929(x47251),f935(f929(x47251),a923),a923),f332(f929(x47251))),x47253)))))),f177(x47251,x47252,x47253)) % 199.45/199.83 [4716]E(f330(f330(f88(a1,f934(a1,a1)),f330(f330(f23(a1),x47161),x47162)),f330(f330(f7(a1,f934(a1,a1),f934(a1,a1)),f330(f330(f18(a1,f934(a1,a1),f935(f934(a1,a1),f934(a1,a1))),f330(f330(f8(a923,f935(f934(a1,a1),f935(f934(a1,a1),f934(a1,a1))),a1),f99(f934(a1,a1))),f330(f238(a1),f2(a1)))),f330(f255(a1,a1),f330(f330(f82(a1),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x47163)),f80(a1))))),f330(f330(f255(a1,a1),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x47163)),x47161))),f330(f44(x47162),f330(f330(f255(a1,a1),x47163),x47161))) % 199.45/199.83 [4747]~E(f31(x47471,x47472),f30(x47473,x47474)) % 199.45/199.83 [4750]~E(f26(x47501,x47502),f30(x47503,x47504)) % 199.45/199.83 [4751]~E(f26(x47511,x47512),f31(x47513,x47514)) % 199.45/199.83 [3756]E(f119(x37561,f330(x37562,x37563),f330(x37564,x37563)),f330(f207(x37561,x37562,x37564),x37563)) % 199.45/199.83 [3809]E(f330(f330(f248(x38091,x38092,x38093),x38094),f2(a928)),x38092) % 199.45/199.83 [3849]E(f188(x38491,x38492,x38493,f330(a115,x38494)),f330(x38493,x38494)) % 199.45/199.83 [3891]E(f173(x38911,x38912,f173(x38911,x38913,x38914)),f173(x38911,x38913,f173(x38911,x38912,x38914))) % 199.45/199.83 [3892]E(f129(x38921,x38922,f119(x38921,x38923,x38924)),f119(x38921,f129(x38921,x38922,x38923),x38924)) % 199.45/199.83 [4027]E(f330(f159(x40271,x40272,x40273,x40274),f116(x40272)),x40273) % 199.45/199.83 [4028]E(f330(f145(x40281,x40282,x40283,x40284),f116(x40282)),x40284) % 199.45/199.83 [4065]E(f330(f192(f933(x40651,x40652)),f224(x40651,x40652,x40653,x40654)),f2(a928)) % 199.45/199.83 [4090]E(f330(f260(x40901,x40902,x40903),f258(x40901,x40902,x40903,x40904)),x40904) % 199.45/199.83 [4134]E(f330(f330(f137(x41341),f172(x41341,x41342,x41343)),f172(x41341,x41344,x41343)),f330(f330(f137(x41341),f172(x41341,x41344,x41343)),f172(x41341,x41342,x41343))) % 199.45/199.83 [4220]E(f330(f330(f262(x42201,x42202,x42203,f934(x42202,x42203)),x42204),f255(x42202,x42203)),x42204) % 199.45/199.83 [4230]E(f130(x42301,x42302,x42303,x42304,f122(x42302)),x42303) % 199.45/199.83 [4236]E(f76(x42361,x42362,x42363,x42364,f330(x42363,x42364)),x42363) % 199.45/199.83 [4506]P44(x45061,x45062,x45063,x45064,f191(f935(x45061,a923)),x45064) % 199.45/199.83 [3558]E(f330(f330(f16(x35581,x35582),x35583),x35584),x35583) % 199.45/199.83 [3839]E(f173(x38391,x38392,f330(f139(x38391,x38393),x38394)),f330(f139(x38391,x38393),f173(x38391,x38392,x38394))) % 199.45/199.83 [3874]E(f330(f330(f65(x38741,x38742,x38743),x38744),f191(f935(x38741,a923))),x38744) % 199.45/199.83 [3898]E(f330(f330(f167(x38981),f330(f330(f154(x38981),x38982),x38983)),f330(a115,x38984)),f330(f330(f167(x38981),x38983),x38984)) % 199.45/199.83 [3966]E(f330(f330(x39661,x39662),f330(f187(x39663,x39664,x39661),x39662)),f330(f187(x39663,x39664,x39661),f330(a115,x39662))) % 199.45/199.83 [4008]E(f258(x40081,x40082,x40083,f330(f260(x40081,x40082,x40083),x40084)),x40084) % 199.45/199.83 [4063]E(f330(f330(f162(x40631,f330(f330(f154(x40631),x40632),x40633)),f2(a928)),x40634),f330(f330(f154(x40631),x40634),x40633)) % 199.45/199.83 [4075]E(f330(f330(f40(f935(x40751,a923),f935(x40752,a923)),x40753),f313(x40751,x40752,x40754)),f330(f313(x40751,x40752,x40754),f38(f935(x40751,a923),x40753))) % 199.45/199.83 [4076]E(f330(f330(f40(f935(x40761,a923),f935(x40762,a923)),x40763),f314(x40762,x40761,x40764)),f330(f314(x40762,x40761,x40764),f38(f935(x40761,a923),x40763))) % 199.45/199.83 [4101]E(f123(x41011,f133(x41012,f930(x41011),x41013,x41014)),f330(f121(x41012,x41011,x41014),x41013)) % 199.45/199.83 [4175]E(f330(f128(x41751,x41752),f129(x41751,x41753,x41754)),f330(f330(f82(a928),f330(f330(f82(a928),f330(x41752,x41753)),f330(f128(x41751,x41752),x41754))),f330(a115,f2(a928)))) % 199.45/199.83 [4196]E(f330(f145(x41961,x41962,f330(f7(x41962,x41961,x41961),x41963),x41964),f330(f171(x41962),f116(x41962))),x41964) % 199.45/199.83 [4242]E(f78(x42421,x42422,x42423,x42424,f191(f935(x42421,a923))),x42423) % 199.45/199.83 [4303]E(f227(x43031,f934(x43032,f930(x43032)),x43033,f330(f260(x43032,f930(x43032),x43031),x43034),f330(f138(x43032),f122(x43032))),x43033) % 199.45/199.83 [4435]E(f330(f260(x44351,x44352,x44353),f330(f330(f8(f935(x44352,f934(x44351,x44352)),f935(x44352,x44353),x44351),f330(f8(f934(x44351,x44352),x44353,x44352),x44354)),f255(x44351,x44352))),x44354) % 199.45/199.83 [3747]E(f330(f259(x37471,x37472),f330(f330(f255(x37471,x37472),x37473),x37474)),x37474) % 199.45/199.83 [3748]E(f330(f254(x37481,x37482),f330(f330(f255(x37481,x37482),x37483),x37484)),x37483) % 199.45/199.83 [3781]E(f330(f192(f929(x37811)),f330(f330(f162(x37811,x37812),x37813),x37814)),f330(f192(f929(x37811)),x37812)) % 199.45/199.83 [3782]E(f330(f192(f929(x37821)),f330(f330(f157(x37822,x37821),x37823),x37824)),f330(f192(f929(x37822)),x37824)) % 199.45/199.83 [3803]E(f330(f330(f141(x38031),f330(a115,x38032)),f330(f330(f154(x38031),x38033),x38034)),f330(f330(f141(x38031),x38032),x38034)) % 199.45/199.83 [3869]E(f330(f330(f178(x38691),x38692),f172(x38691,x38693,x38694)),f172(x38691,f330(f330(f236(a928),x38692),x38693),x38694)) % 199.45/199.83 [3870]E(f330(f330(f141(x38701),x38702),f172(x38701,x38703,x38704)),f172(x38701,f330(f330(f23(a928),x38703),x38702),x38704)) % 199.45/199.83 [3876]E(f330(f330(f312(x38761),x38762),f330(f330(f312(x38761),x38763),x38764)),f330(f330(f312(x38761),x38763),f330(f330(f312(x38761),x38762),x38764))) % 199.45/199.83 [3880]E(f330(f330(f157(x38801,x38802),x38803),f117(x38801,x38804)),f117(x38802,f330(f330(f157(x38801,x38802),x38803),x38804))) % 199.45/199.83 [3896]E(f330(f171(x38961),f330(f330(f157(x38962,x38961),x38963),x38964)),f330(f330(f157(x38962,x38961),x38963),f330(f171(x38962),x38964))) % 199.45/199.83 [3897]E(f330(f330(f157(x38971,x38972),x38973),f330(f174(x38971),x38974)),f330(f174(x38972),f330(f330(f157(x38971,x38972),x38973),x38974))) % 199.45/199.83 [3912]E(f330(f330(f178(x39121),f330(a115,x39122)),f330(f330(f154(x39121),x39123),x39124)),f330(f330(f154(x39121),x39123),f330(f330(f178(x39121),x39122),x39124))) % 199.45/199.83 [3916]E(f330(f175(x39161),f330(f330(f157(x39162,x39161),x39163),x39164)),f330(f313(x39162,x39161,x39163),f330(f175(x39162),x39164))) % 199.45/199.83 [3929]E(f330(f330(f157(x39291,x39292),f330(f16(x39292,x39291),x39293)),x39294),f172(x39292,f330(f192(f929(x39291)),x39294),x39293)) % 199.45/199.83 [3965]E(f17(x39651,x39652,x39653,f330(a3,f330(a115,f330(a20,x39654)))),f330(x39653,x39654)) % 199.45/199.83 [3969]E(f330(f330(f137(x39691),f330(f139(x39691,x39692),x39693)),f330(f139(x39691,x39692),x39694)),f330(f139(x39691,x39692),f330(f330(f137(x39691),x39693),x39694))) % 199.45/199.83 [3982]E(f155(x39821,f330(f330(f157(x39822,x39821),x39823),f155(x39822,x39824))),f155(x39821,f330(f330(f157(x39822,x39821),x39823),x39824))) % 199.45/199.83 [3997]E(f330(f289(x39971,x39971),f330(f330(f291(x39972,x39971),x39973),x39974)),f330(f330(f291(x39972,x39971),f330(f289(x39972,x39972),x39973)),x39974)) % 199.45/199.83 [4009]E(f330(f330(f292(x40091,x40092,x40093),x40094),f191(f935(f934(x40092,x40093),a923))),f191(f935(f934(x40091,x40093),a923))) % 199.45/199.83 [4010]E(f330(f330(f178(x40101),f330(f330(f23(a928),x40102),x40103)),f330(f330(f141(x40101),x40103),x40104)),f330(f330(f141(x40101),x40103),f330(f330(f178(x40101),x40102),x40104))) % 199.45/199.83 [4029]E(f330(f330(f137(x40291),f172(x40291,x40292,x40293)),f172(x40291,x40294,x40293)),f172(x40291,f330(f330(f82(a928),x40292),x40294),x40293)) % 199.45/199.83 [4030]E(f330(f330(f330(f281(x40301),x40302),x40303),x40304),f330(f255(f935(a102,f935(a923,f932(f930(x40301)))),f934(a102,a102)),f330(f43(x40301),x40302))) % 199.45/199.83 [4056]E(f39(f935(x40561,a923),f330(f313(x40562,f935(x40561,a923),x40563),x40564)),f330(f330(f41(x40562,f935(x40561,a923)),x40564),x40563)) % 199.45/199.83 [4057]E(f38(f935(x40571,a923),f330(f313(x40572,f935(x40571,a923),x40573),x40574)),f330(f330(f40(x40572,f935(x40571,a923)),x40574),x40573)) % 199.45/199.83 [4058]E(f330(f192(f929(f934(x40581,x40582))),f330(f330(f184(x40581,x40582),x40583),x40584)),f330(f330(f236(a928),f330(f192(f929(x40581)),x40583)),f330(f192(f929(x40582)),x40584))) % 199.45/199.83 [4060]E(f330(f314(x40601,x40602,x40603),f330(f81(f935(x40602,a923)),x40604)),f330(f81(f935(x40601,a923)),f330(f314(x40601,x40602,x40603),x40604))) % 199.45/199.83 [4111]E(f330(f314(x41111,x41112,x41113),f330(f265(x41112),x41114)),f330(f265(x41111),f330(f330(f8(x41112,a923,x41111),x41114),x41113))) % 199.45/199.83 [4129]E(f330(f330(f167(x41291),f330(f330(f137(x41291),x41292),f330(f330(f154(x41291),x41293),x41294))),f330(f192(f929(x41291)),x41292)),x41293) % 199.45/199.83 [4152]E(f330(f313(x41521,x41522,x41523),f330(f314(x41521,x41522,x41523),x41524)),f330(f330(f104(f935(x41522,a923)),x41524),f330(f313(x41521,x41522,x41523),f245(f935(x41521,a923))))) % 199.45/199.83 [4171]P108(f330(f330(f332(x41711),f330(x41712,x41713)),f330(f313(x41714,x41711,x41712),f245(f935(x41714,a923))))) % 199.45/199.83 [4180]E(f19(x41801,x41802,x41803,f330(a3,f330(a115,f330(a20,x41804)))),f330(f330(x41803,x41804),f19(x41801,x41802,x41803,x41804))) % 199.45/199.83 [4184]E(f330(f330(f137(x41841),f172(x41841,x41842,x41843)),f330(f330(f154(x41841),x41843),x41844)),f330(f330(f154(x41841),x41843),f330(f330(f137(x41841),f172(x41841,x41842,x41843)),x41844))) % 199.45/199.83 [4186]E(f330(f330(f257(x41861,x41862),f330(f175(x41861),x41863)),f330(f16(f935(x41862,a923),x41861),f330(f175(x41862),x41864))),f330(f175(f934(x41861,x41862)),f60(x41861,x41862,x41863,x41864))) % 199.45/199.83 [4198]E(f158(x41981,x41982,f330(f330(f154(x41981),x41983),x41984)),f330(f330(f82(a928),f330(f330(f82(a928),f330(x41982,x41983)),f158(x41981,x41982,x41984))),f330(a115,f2(a928)))) % 199.45/199.83 [4211]E(f188(f929(x42111),f330(f330(f154(x42111),x42112),x42113),f330(f330(f7(a928,f929(x42111),f929(x42111)),f141(x42111)),x42113),x42114),f330(f330(f141(x42111),x42114),f330(f330(f154(x42111),x42112),x42113))) % 199.45/199.83 [4212]P25(x42121,f934(x42122,x42121),f334(x42123,x42124,x42122,x42121),f330(f330(f40(x42122,f935(x42121,a923)),x42124),x42123)) % 199.45/199.83 [4221]E(f330(f330(f23(f935(x42211,a923)),f330(f330(f23(f935(x42211,a923)),x42212),x42213)),f330(f330(f312(x42211),x42214),f191(f935(x42211,a923)))),f330(f330(f23(f935(x42211,a923)),x42212),f330(f330(f312(x42211),x42214),x42213))) % 199.45/199.83 [4234]E(f330(f330(f186(f935(x42341,x42342),f935(x42341,x42342)),x42343),f74(x42342,x42342,x42341,x42344)),f74(x42342,x42342,x42341,f330(f330(f186(x42342,x42342),x42343),x42344))) % 199.45/199.83 [4308]E(f330(f330(f330(f186(f929(x43081),f929(x43081)),x43082),f170(x43081)),f330(f330(f330(f186(f929(x43081),f929(x43081)),x43083),f170(x43081)),x43084)),f330(f330(f330(f186(f929(x43081),f929(x43081)),f330(f330(f82(a928),x43082),x43083)),f170(x43081)),x43084)) % 199.45/199.83 [4393]P108(f330(f330(f238(f935(x43931,a923)),f330(f175(x43931),f330(f330(f162(x43931,x43932),x43933),x43934))),f330(f330(f312(x43931),x43934),f330(f175(x43931),x43932)))) % 199.45/199.83 [4425]E(f330(f330(f40(f935(x44251,a923),f935(f934(x44251,x44252),a923)),x44253),f330(f330(f7(f935(x44251,a923),f935(x44251,f935(x44252,a923)),f935(f934(x44251,x44252),a923)),f257(x44251,x44252)),x44254)),f330(f330(f257(x44251,x44252),f38(f935(x44251,a923),x44253)),x44254)) % 199.45/199.83 [4463]E(f213(x44631,x44632,x44633,f330(f74(x44632,f935(a102,f935(a102,f935(f934(a102,a102),f935(a102,f930(x44632))))),x44631,f208(x44632)),x44634)),f214(x44631,x44632,x44634,x44633)) % 199.45/199.83 [4479]E(f210(x44791,x44792,x44793,f330(f74(x44792,f935(a102,f935(a102,f935(f934(a102,a102),f935(a102,f930(f932(x44792)))))),x44791,f209(x44792)),x44794)),f211(x44791,x44792,x44794,x44793)) % 199.45/199.83 [4484]P108(f330(f67(x44841,x44842,x44843,x44844,f191(f935(x44841,a923))),x44844)) % 199.45/199.83 [4523]E(f330(f330(f40(x45231,f935(x45232,a923)),x45233),f330(f330(f7(x45231,f935(x45232,a923),f935(x45232,a923)),f330(f330(f8(x45232,f935(f935(x45232,a923),f935(x45232,a923)),x45231),f312(x45232)),x45234)),f191(f935(x45232,a923)))),f330(f313(x45231,x45232,x45234),x45233)) % 199.45/199.83 [4530]P108(f330(f330(f238(f935(x45301,a923)),f330(f287(x45302,x45301),f330(f330(f104(f935(f934(x45302,x45301),a923)),x45303),x45304))),f330(f330(f104(f935(x45301,a923)),f330(f287(x45302,x45301),x45303)),f330(f287(x45302,x45301),x45304)))) % 199.45/199.83 [4531]P108(f330(f330(f238(f935(x45311,a923)),f330(f267(x45311,x45312),f330(f330(f104(f935(f934(x45311,x45312),a923)),x45313),x45314))),f330(f330(f104(f935(x45311,a923)),f330(f267(x45311,x45312),x45313)),f330(f267(x45311,x45312),x45314)))) % 199.45/199.83 [4591]P108(f330(f330(f238(f935(f934(x45911,x45912),a923)),f330(f313(x45912,f934(x45911,x45912),f334(x45913,x45914,x45911,x45912)),f330(f330(f40(x45911,f935(x45912,a923)),x45914),x45913))),f330(f330(f257(x45911,x45912),x45914),x45913))) % 199.45/199.83 [4592]E(f330(f121(x45921,f934(x45921,x45922),x45923),f330(f330(f8(f935(x45922,f930(f934(x45921,x45922))),f930(f934(x45921,x45922)),x45921),f121(x45922,f934(x45921,x45922),x45924)),f330(f330(f8(f935(x45922,f934(x45921,x45922)),f935(x45922,f930(f934(x45921,x45922))),x45921),f330(f8(f934(x45921,x45922),f930(f934(x45921,x45922)),x45922),f132(f934(x45921,x45922)))),f255(x45921,x45922)))),f134(x45921,x45922,x45923,x45924)) % 199.45/199.83 [4593]E(f279(x45931,x45932,x45933,f330(f74(x45932,f935(a102,f935(a102,f935(f934(a102,a102),f934(f935(a102,f935(a923,f932(f930(x45932)))),f934(a102,a102))))),x45931,f281(x45932)),x45934)),f282(x45931,x45932,x45934,x45933)) % 199.45/199.83 [4633]E(f87(f934(x46331,x46332),f330(f260(x46331,x46332,a923),f330(f330(f7(x46331,f935(x46332,a923),f935(x46332,a923)),f330(f330(f8(f935(a923,a923),f935(f935(x46332,a923),f935(x46332,a923)),x46331),f8(a923,a923,x46332)),f330(f330(f8(a923,f935(a923,a923),x46331),a328),f330(a327,x46333)))),f330(a327,x46334)))),f330(f330(f255(x46331,x46332),x46333),x46334)) % 199.45/199.83 [4634]E(f92(f934(x46341,x46342),f330(f260(x46341,x46342,a923),f330(f330(f7(x46341,f935(x46342,a923),f935(x46342,a923)),f330(f330(f8(f935(a923,a923),f935(f935(x46342,a923),f935(x46342,a923)),x46341),f8(a923,a923,x46342)),f330(f330(f8(a923,f935(a923,a923),x46341),a328),f330(a327,x46343)))),f330(a327,x46344)))),f330(f330(f255(x46341,x46342),x46343),x46344)) % 199.45/199.83 [4707]E(f330(f330(f260(f929(x47071),f929(x47071),f934(f929(x47071),f929(x47071))),f330(f330(f18(f929(x47071),f935(f929(x47071),f934(f929(x47071),f929(x47071))),f935(f929(x47071),f934(f929(x47071),f929(x47071)))),f330(f330(f8(f935(f929(x47071),f935(f934(f929(x47071),f929(x47071)),f934(f929(x47071),f929(x47071)))),f935(f935(f929(x47071),f934(f929(x47071),f929(x47071))),f935(f929(x47071),f934(f929(x47071),f929(x47071)))),f929(x47071)),f18(f929(x47071),f934(f929(x47071),f929(x47071)),f934(f929(x47071),f929(x47071)))),f330(f330(f8(f935(f929(x47071),f934(f929(x47071),f929(x47071))),f935(f929(x47071),f935(f934(f929(x47071),f929(x47071)),f934(f929(x47071),f929(x47071)))),f929(x47071)),f330(f8(f934(f929(x47071),f929(x47071)),f935(f934(f929(x47071),f929(x47071)),f934(f929(x47071),f929(x47071))),f929(x47071)),f330(f99(f934(f929(x47071),f929(x47071))),f330(x47072,x47073)))),f330(f330(f8(f929(x47071),f935(f929(x47071),f934(f929(x47071),f929(x47071))),f929(x47071)),f255(f929(x47071),f929(x47071))),f330(f154(x47071),x47073))))),f330(f330(f7(f929(x47071),f935(f929(x47071),f929(x47071)),f935(f929(x47071),f934(f929(x47071),f929(x47071)))),f330(f330(f8(f935(f929(x47071),f934(f929(x47071),f929(x47071))),f935(f935(f929(x47071),f929(x47071)),f935(f929(x47071),f934(f929(x47071),f929(x47071)))),f929(x47071)),f8(f929(x47071),f934(f929(x47071),f929(x47071)),f929(x47071))),f255(f929(x47071),f929(x47071)))),f330(f154(x47071),x47073)))),f169(x47071,x47072,x47074)),f169(x47071,x47072,f330(f330(f154(x47071),x47073),x47074))) % 199.45/199.83 [3821]E(f330(f192(f927(x38211)),f330(f330(f330(f93(x38211),x38212),x38213),x38214)),f2(a928)) % 199.45/199.83 [3945]E(f330(f330(f178(x39451),x39452),f330(f330(f178(x39451),x39453),x39454)),f330(f330(f178(x39451),f330(f330(f236(a928),x39452),x39453)),x39454)) % 199.45/199.83 [3946]E(f330(f330(f141(x39461),x39462),f330(f330(f141(x39461),x39463),x39464)),f330(f330(f141(x39461),f330(f330(f82(a928),x39462),x39463)),x39464)) % 199.45/199.83 [3957]E(f330(f330(f137(x39571),f330(f330(f154(x39571),x39572),x39573)),x39574),f330(f330(f154(x39571),x39572),f330(f330(f137(x39571),x39573),x39574))) % 199.45/199.83 [3958]E(f330(f330(f137(x39581),f330(f330(f137(x39581),x39582),x39583)),x39584),f330(f330(f137(x39581),x39582),f330(f330(f137(x39581),x39583),x39584))) % 199.45/199.83 [4040]E(f330(f330(f167(x40401),f330(f330(f154(x40401),x40402),x40403)),x40404),f188(x40401,x40402,f330(f167(x40401),x40403),x40404)) % 199.45/199.83 [4049]E(f330(f330(f186(x40491,x40491),x40492),f330(f330(f186(x40491,x40491),x40493),x40494)),f330(f330(f186(x40491,x40491),f330(f330(f83(a928),x40493),x40492)),x40494)) % 199.45/199.83 [4078]E(f330(f330(f113(f935(x40781,a923)),x40782),f330(f330(f312(x40781),x40783),x40784)),f330(f330(f312(x40781),x40783),f330(f330(f113(f935(x40781,a923)),x40782),x40784))) % 199.45/199.83 [4093]E(f330(f330(f330(f186(x40931,x40931),x40932),x40933),f330(x40933,x40934)),f330(x40933,f330(f330(f330(f186(x40931,x40931),x40932),x40933),x40934))) % 199.45/199.83 [4102]E(f330(f330(f292(x41021,x41022,x41023),f191(f935(f934(x41021,x41022),a923))),x41024),f191(f935(f934(x41021,x41023),a923))) % 199.45/199.83 [4117]E(f330(f330(f113(f935(x41171,a923)),f330(f330(f312(x41171),x41172),x41173)),x41174),f330(f330(f312(x41171),x41172),f330(f330(f113(f935(x41171,a923)),x41173),x41174))) % 199.45/199.83 [4136]E(f330(f36(f934(x41361,x41362)),f330(f330(f257(x41361,x41362),x41363),f330(f16(f935(x41362,a923),x41361),x41364))),f330(f330(f83(a928),f330(f36(x41361),x41363)),f330(f36(x41362),x41364))) % 199.45/199.83 [4143]E(f330(f330(f104(f935(x41431,a923)),f330(f330(f312(x41431),x41432),x41433)),f330(f330(f312(x41431),x41432),x41434)),f330(f330(f312(x41431),x41432),f330(f330(f104(f935(x41431,a923)),x41433),x41434))) % 199.45/199.83 [4156]E(f330(f330(f104(f935(x41561,a923)),x41562),f330(f330(f104(f935(x41561,a923)),x41563),x41564)),f330(f330(f104(f935(x41561,a923)),x41563),f330(f330(f104(f935(x41561,a923)),x41562),x41564))) % 199.45/199.83 [4157]E(f330(f330(f113(f935(x41571,a923)),x41572),f330(f330(f113(f935(x41571,a923)),x41573),x41574)),f330(f330(f113(f935(x41571,a923)),x41573),f330(f330(f113(f935(x41571,a923)),x41572),x41574))) % 199.45/199.83 [4167]E(f65(x41671,x41672,f330(f330(f8(x41672,f935(x41672,x41672),x41671),x41673),x41674)),f330(f66(x41672,x41671,x41673),x41674)) % 199.45/199.83 [4176]E(f182(x41761,f330(f330(f157(f929(x41762),f929(x41761)),f330(f157(x41762,x41761),x41763)),x41764)),f330(f330(f157(f929(x41762),f929(x41761)),f330(f157(x41762,x41761),x41763)),f182(x41762,x41764))) % 199.45/199.83 [4195]E(f330(f145(f929(x41951),f929(x41951),f137(x41951),f116(x41951)),f330(f330(f157(x41952,f929(x41951)),x41953),x41954)),f166(x41952,x41951,x41953,x41954)) % 199.45/199.83 [4255]E(f330(f74(x42551,x42551,x42551,f330(f330(f186(x42551,x42551),x42552),x42553)),f330(f330(f186(x42551,x42551),x42554),x42553)),f330(f330(f186(x42551,x42551),f330(f330(f82(a928),x42552),x42554)),x42553)) % 199.45/199.83 [4278]E(f330(f330(f113(f935(x42781,a923)),f330(f330(f23(f935(x42781,a923)),x42782),x42783)),f330(f330(f23(f935(x42781,a923)),x42782),x42784)),f330(f330(f23(f935(x42781,a923)),x42782),f330(f330(f104(f935(x42781,a923)),x42783),x42784))) % 199.45/199.83 [4279]E(f330(f330(f104(f935(x42791,a923)),f330(f330(f23(f935(x42791,a923)),x42792),x42793)),f330(f330(f23(f935(x42791,a923)),x42792),x42794)),f330(f330(f23(f935(x42791,a923)),x42792),f330(f330(f113(f935(x42791,a923)),x42793),x42794))) % 199.45/199.83 [4280]E(f330(f330(f23(f935(x42801,a923)),f330(f330(f104(f935(x42801,a923)),x42802),x42803)),f330(f330(f104(f935(x42801,a923)),x42802),x42804)),f330(f330(f104(f935(x42801,a923)),x42802),f330(f330(f23(f935(x42801,a923)),x42803),x42804))) % 199.45/199.83 [4281]E(f330(f330(f113(f935(x42811,a923)),f330(f330(f104(f935(x42811,a923)),x42812),x42813)),f330(f330(f104(f935(x42811,a923)),x42812),x42814)),f330(f330(f104(f935(x42811,a923)),x42812),f330(f330(f113(f935(x42811,a923)),x42813),x42814))) % 199.45/199.83 [4282]E(f330(f330(f104(f935(x42821,a923)),f330(f330(f113(f935(x42821,a923)),x42822),x42823)),f330(f330(f113(f935(x42821,a923)),x42822),x42824)),f330(f330(f113(f935(x42821,a923)),x42822),f330(f330(f104(f935(x42821,a923)),x42823),x42824))) % 199.45/199.83 [4287]E(f330(f36(f934(x42871,x42872)),f330(f330(f257(x42871,x42872),f330(f330(f312(x42871),x42873),f191(f935(x42871,a923)))),f330(f16(f935(x42872,a923),x42871),x42874))),f330(f36(x42872),x42874)) % 199.45/199.83 [4322]E(f330(f330(f41(x43221,f935(x43222,a923)),x43223),f330(f330(f8(f935(x43222,a923),f935(x43222,a923),x43221),f81(f935(x43222,a923))),x43224)),f330(f81(f935(x43222,a923)),f330(f330(f40(x43221,f935(x43222,a923)),x43223),x43224))) % 199.45/199.83 [4323]E(f330(f330(f40(x43231,f935(x43232,a923)),x43233),f330(f330(f8(f935(x43232,a923),f935(x43232,a923),x43231),f81(f935(x43232,a923))),x43234)),f330(f81(f935(x43232,a923)),f330(f330(f41(x43231,f935(x43232,a923)),x43233),x43234))) % 199.45/199.83 [4339]E(f330(f330(f292(x43391,x43391,x43391),f330(f330(f186(f934(x43391,x43391),a923),x43392),x43393)),f330(f330(f186(f934(x43391,x43391),a923),x43394),x43393)),f330(f330(f186(f934(x43391,x43391),a923),f330(f330(f82(a928),x43392),x43394)),x43393)) % 199.45/199.83 [4369]E(f330(f330(f41(x43691,f935(f935(x43692,a923),a923)),x43693),f330(f330(f8(f935(x43692,a923),f935(f935(x43692,a923),a923),x43691),f311(x43692)),x43694)),f330(f311(x43692),f330(f330(f41(x43691,f935(x43692,a923)),x43693),x43694))) % 199.45/199.83 [4398]E(f330(f330(f40(f935(x43981,a923),f935(x43982,a923)),x43983),f330(f330(f7(f935(x43981,a923),f935(x43981,f935(x43982,a923)),f935(x43982,a923)),f40(x43981,f935(x43982,a923))),x43984)),f330(f330(f40(x43981,f935(x43982,a923)),f38(f935(x43981,a923),x43983)),x43984)) % 199.45/199.83 [4399]E(f330(f330(f41(f935(x43991,a923),f935(x43992,a923)),x43993),f330(f330(f7(f935(x43991,a923),f935(x43991,f935(x43992,a923)),f935(x43992,a923)),f41(x43991,f935(x43992,a923))),x43994)),f330(f330(f41(x43991,f935(x43992,a923)),f38(f935(x43991,a923),x43993)),x43994)) % 199.45/199.83 [4404]E(f330(f330(f157(x44041,x44042),x44043),f330(f145(f929(x44041),f929(x44041),f137(x44041),f116(x44041)),x44044)),f330(f145(f929(x44042),f929(x44042),f137(x44042),f116(x44042)),f330(f330(f157(f929(x44041),f929(x44042)),f330(f157(x44041,x44042),x44043)),x44044))) % 199.45/199.83 [4406]E(f188(f929(x44061),f116(x44061),f330(f330(f8(f929(x44061),f929(x44061),a928),f330(f154(x44061),x44062)),f330(f330(f7(a928,f929(x44061),f929(x44061)),f178(x44061)),x44063)),x44064),f330(f330(f178(x44061),x44064),f330(f330(f154(x44061),x44062),x44063))) % 199.45/199.83 [4444]P108(f330(f330(f238(f935(x44441,a923)),f330(f313(x44442,x44441,x44443),f330(f314(x44442,x44441,x44443),x44444))),x44444)) % 199.45/199.83 [4446]E(f330(f313(f934(x44461,x44462),f934(x44462,x44461),f330(f260(x44461,x44462,f934(x44462,x44461)),f330(f7(x44462,x44461,f934(x44462,x44461)),f255(x44462,x44461)))),f330(f330(f257(x44461,x44462),x44463),f330(f16(f935(x44462,a923),x44461),x44464))),f330(f330(f257(x44462,x44461),x44464),f330(f16(f935(x44461,a923),x44462),x44463))) % 199.45/199.83 [4455]E(f330(f330(f40(x44551,f935(x44552,a923)),x44553),f330(f330(f8(f935(x44551,a923),f935(x44552,a923),x44551),f288(x44551,x44552,x44554)),f330(f330(f7(x44551,f935(x44551,a923),f935(x44551,a923)),f312(x44551)),f191(f935(x44551,a923))))),f330(f288(x44551,x44552,x44554),x44553)) % 199.45/199.83 [4456]E(f330(f330(f40(x44561,f935(x44562,a923)),x44563),f330(f330(f8(f935(x44561,a923),f935(x44562,a923),x44561),f314(x44562,x44561,x44564)),f330(f330(f7(x44561,f935(x44561,a923),f935(x44561,a923)),f312(x44561)),f191(f935(x44561,a923))))),f330(f314(x44562,x44561,x44564),x44563)) % 199.45/199.83 [4544]E(f330(f330(f113(f935(x45441,a923)),f330(f330(f113(f935(x45441,a923)),f330(f330(f104(f935(x45441,a923)),x45442),x45443)),f330(f330(f104(f935(x45441,a923)),x45443),x45444))),f330(f330(f104(f935(x45441,a923)),x45444),x45442)),f330(f330(f104(f935(x45441,a923)),f330(f330(f104(f935(x45441,a923)),f330(f330(f113(f935(x45441,a923)),x45442),x45443)),f330(f330(f113(f935(x45441,a923)),x45443),x45444))),f330(f330(f113(f935(x45441,a923)),x45444),x45442))) % 199.45/199.83 [4607]E(f330(f145(f929(x46071),f929(x46071),f137(x46071),f116(x46071)),f330(f330(f157(x46072,f929(x46071)),f330(f330(f7(x46072,f929(x46071),f929(x46071)),f330(f330(f8(x46071,f935(f929(x46071),f929(x46071)),x46072),f154(x46071)),x46073)),f116(x46071))),x46074)),f330(f330(f157(x46072,x46071),x46073),x46074)) % 199.45/199.83 [4617]E(f330(f330(f88(a1,x46171),f330(f106(a1),f330(f330(f82(a1),x46172),a100))),f330(f330(f18(a1,x46171,x46171),f330(f330(f7(a1,x46171,f935(x46171,x46171)),f330(f330(f8(a923,f935(x46171,f935(x46171,x46171)),a1),f99(x46171)),a196)),x46173)),f330(f330(f8(a928,x46171,a1),x46174),a107))),f188(x46171,x46173,x46174,f330(f106(a928),x46172))) % 199.45/199.83 [4648]E(f330(f265(x46481),f330(f330(f8(f935(x46482,a923),a923,x46481),f89(x46482)),f330(f330(f8(f935(x46482,a923),f935(x46482,a923),x46481),f330(f18(x46482,a923,a923),f330(f330(f8(a923,f935(a923,a923),x46482),a328),f330(f330(f7(x46482,f935(x46482,a923),a923),f332(x46482)),x46483)))),f330(f7(x46482,x46481,a923),x46484)))),f330(f288(x46482,x46481,f330(f265(f934(x46482,x46481)),f330(f260(x46482,x46481,a923),x46484))),x46483)) % 199.45/199.83 [4821]~P108(f330(f330(f191(f935(x48211,f935(x48212,a923))),x48213),x48214)) % 199.45/199.83 [4105]E(f330(f330(f167(x41051),f330(f330(f137(x41051),x41052),x41053)),f330(f330(f82(a928),f330(f192(f929(x41051)),x41052)),x41054)),f330(f330(f167(x41051),x41053),x41054)) % 199.45/199.83 [4110]E(f330(f330(f141(x41101),x41102),f330(f330(f178(x41101),f330(f330(f82(a928),x41103),x41102)),x41104)),f330(f330(f178(x41101),x41103),f330(f330(f141(x41101),x41102),x41104))) % 199.45/199.83 [4209]E(f330(f330(f113(f935(x42091,a923)),f330(f287(x42092,x42091),x42093)),f330(f287(x42092,x42091),x42094)),f330(f287(x42092,x42091),f330(f330(f113(f935(f934(x42092,x42091),a923)),x42093),x42094))) % 199.45/199.83 [4210]E(f330(f330(f113(f935(x42101,a923)),f330(f267(x42101,x42102),x42103)),f330(f267(x42101,x42102),x42104)),f330(f267(x42101,x42102),f330(f330(f113(f935(f934(x42101,x42102),a923)),x42103),x42104))) % 199.45/199.83 [4215]E(f330(f330(f23(f935(x42151,a923)),f330(f330(f104(f935(x42151,a923)),x42152),x42153)),x42154),f330(f330(f104(f935(x42151,a923)),x42152),f330(f330(f23(f935(x42151,a923)),x42153),x42154))) % 199.45/199.83 [4216]E(f330(f330(f104(f935(x42161,a923)),f330(f330(f104(f935(x42161,a923)),x42162),x42163)),x42164),f330(f330(f104(f935(x42161,a923)),x42162),f330(f330(f104(f935(x42161,a923)),x42163),x42164))) % 199.45/199.83 [4217]E(f330(f330(f113(f935(x42171,a923)),f330(f330(f113(f935(x42171,a923)),x42172),x42173)),x42174),f330(f330(f113(f935(x42171,a923)),x42172),f330(f330(f113(f935(x42171,a923)),x42173),x42174))) % 199.45/199.83 [4257]E(f330(f330(f104(f935(f934(x42571,x42572),a923)),f330(f289(x42572,x42571),x42573)),f330(f289(x42572,x42571),x42574)),f330(f289(x42572,x42571),f330(f330(f104(f935(f934(x42572,x42571),a923)),x42573),x42574))) % 199.45/199.83 [4258]E(f330(f330(f113(f935(f934(x42581,x42582),a923)),f330(f289(x42582,x42581),x42583)),f330(f289(x42582,x42581),x42584)),f330(f289(x42582,x42581),f330(f330(f113(f935(f934(x42582,x42581),a923)),x42583),x42584))) % 199.45/199.83 [4271]E(f330(f330(f104(f935(x42711,f935(x42712,a923))),f246(x42712,x42711,x42713)),f246(x42712,x42711,x42714)),f246(x42712,x42711,f330(f330(f104(f935(x42712,f935(x42711,a923))),x42713),x42714))) % 199.45/199.83 [4272]E(f330(f330(f113(f935(x42721,f935(x42722,a923))),f246(x42722,x42721,x42723)),f246(x42722,x42721,x42724)),f246(x42722,x42721,f330(f330(f113(f935(x42722,f935(x42721,a923))),x42723),x42724))) % 199.45/199.83 [4326]E(f330(f330(f113(f935(x43261,a923)),f330(f330(f23(f935(x43261,a923)),x43262),x43263)),f330(f330(f23(f935(x43261,a923)),x43264),x43263)),f330(f330(f23(f935(x43261,a923)),f330(f330(f113(f935(x43261,a923)),x43262),x43264)),x43263)) % 199.45/199.83 [4327]E(f330(f330(f23(f935(x43271,a923)),f330(f330(f104(f935(x43271,a923)),x43272),x43273)),f330(f330(f104(f935(x43271,a923)),x43274),x43273)),f330(f330(f104(f935(x43271,a923)),f330(f330(f23(f935(x43271,a923)),x43272),x43274)),x43273)) % 199.45/199.83 [4328]E(f330(f330(f113(f935(x43281,a923)),f330(f330(f104(f935(x43281,a923)),x43282),x43283)),f330(f330(f104(f935(x43281,a923)),x43284),x43283)),f330(f330(f104(f935(x43281,a923)),f330(f330(f113(f935(x43281,a923)),x43282),x43284)),x43283)) % 199.45/199.83 [4329]E(f330(f330(f104(f935(x43291,a923)),f330(f330(f113(f935(x43291,a923)),x43292),x43293)),f330(f330(f113(f935(x43291,a923)),x43294),x43293)),f330(f330(f113(f935(x43291,a923)),f330(f330(f104(f935(x43291,a923)),x43292),x43294)),x43293)) % 199.45/199.83 [4330]E(f330(f330(f23(f935(x43301,a923)),f330(f330(f104(f935(x43301,a923)),x43302),x43303)),f330(f330(f104(f935(x43301,a923)),x43304),x43303)),f330(f330(f23(f935(x43301,a923)),f330(f330(f104(f935(x43301,a923)),x43302),x43303)),x43304)) % 199.45/199.83 [4342]E(f330(f330(f23(f935(x43421,a923)),f330(f330(f23(f935(x43421,a923)),x43422),f330(f330(f312(x43421),x43423),f191(f935(x43421,a923))))),x43424),f330(f330(f23(f935(x43421,a923)),x43422),f330(f330(f312(x43421),x43423),x43424))) % 199.45/199.83 [4395]E(f330(f330(f113(f935(x43951,a923)),f330(f330(f312(x43951),x43952),f330(f330(f312(x43951),x43953),f191(f935(x43951,a923))))),f330(f284(x43951),x43954)),f330(f284(x43951),f330(f330(f312(f934(x43951,x43951)),f330(f330(f255(x43951,x43951),x43952),x43953)),x43954))) % 199.45/199.83 [4420]E(f330(f330(f40(a928,f935(x44201,a923)),f330(f304(a928),x44202)),f330(f330(f8(a928,f935(x44201,a923),a928),x44203),f330(f330(f7(a928,a928,a928),f82(a928)),x44204))),f330(f330(f40(a928,f935(x44201,a923)),f306(a928,x44204,f330(f330(f82(a928),x44202),x44204))),x44203)) % 199.45/199.83 [4421]E(f177(x44211,f330(f288(x44211,x44211,x44212),f330(f330(f312(x44211),x44213),f191(f935(x44211,a923)))),f330(f288(f929(x44211),f929(x44211),f161(x44211,x44212)),f330(f330(f312(f929(x44211)),x44214),f191(f935(f929(x44211),a923))))),f330(f288(f929(x44211),f929(x44211),f161(x44211,x44212)),f330(f330(f312(f929(x44211)),f330(f330(f154(x44211),x44213),x44214)),f191(f935(f929(x44211),a923))))) % 199.45/199.83 [4486]E(f330(f265(x44861),f330(f330(f7(x44861,f935(x44862,a923),a923),f330(f330(f8(x44862,f935(f935(x44862,a923),a923),x44861),f332(x44862)),x44863)),x44864)),f330(f314(x44861,x44862,x44863),x44864)) % 199.45/199.83 [4576]E(f330(f265(x45761),f330(f330(f7(x45761,f935(f934(x45762,x45761),a923),a923),f330(f330(f8(f934(x45762,x45761),f935(f935(f934(x45762,x45761),a923),a923),x45761),f332(f934(x45762,x45761))),f330(f255(x45762,x45761),x45763))),x45764)),f330(f288(x45762,x45761,x45764),f330(f330(f312(x45762),x45763),f191(f935(x45762,a923))))) % 199.45/199.83 [4590]E(f330(f330(f157(f934(x45901,a928),x45901),f254(x45901,a928)),f330(f139(f934(x45901,a928),f330(f330(f8(a928,a923,f934(x45901,a928)),x45902),f330(f330(f8(a928,a928,f934(x45901,a928)),a115),f259(x45901,a928)))),f330(f330(f184(x45901,a928),x45903),x45904))),f330(f330(f157(f934(x45901,a928),x45901),f254(x45901,a928)),f330(f139(f934(x45901,a928),f330(f330(f8(a928,a923,f934(x45901,a928)),x45902),f259(x45901,a928))),f330(f330(f184(x45901,a928),x45903),f330(f330(f157(a928,a928),a115),x45904))))) % 199.45/199.83 [4599]P108(f330(f330(f238(f935(f935(x45991,a923),a923)),f330(f330(f40(x45992,f935(f935(x45991,a923),a923)),x45993),f330(f330(f8(f935(x45991,a923),f935(f935(x45991,a923),a923),x45992),f311(x45991)),x45994))),f330(f311(x45991),f330(f330(f40(x45992,f935(x45991,a923)),x45993),x45994)))) % 199.45/199.83 [4640]E(f330(f330(f88(a1,x46401),f330(f106(a1),f330(f330(f82(a1),x46402),a100))),f330(f330(f18(a1,x46401,x46401),f330(f330(f7(a1,x46401,f935(x46401,x46401)),f330(f330(f8(a923,f935(x46401,f935(x46401,x46401)),a1),f99(x46401)),a196)),x46403)),f330(f330(f18(a1,x46401,x46401),f330(f330(f8(a928,f935(x46401,x46401),a1),x46404),a107)),f330(f330(f8(a928,x46401,a1),f187(x46401,x46403,x46404)),a107)))),f330(f187(x46401,x46403,x46404),f330(f106(a928),x46402))) % 199.45/199.83 [4664]E(f330(f265(f934(x46641,x46642)),f330(f260(x46641,x46642,a923),f330(f330(f7(x46641,f935(x46642,a923),f935(x46642,a923)),f330(f330(f8(f935(a923,a923),f935(f935(x46642,a923),f935(x46642,a923)),x46641),f8(a923,a923,x46642)),f330(f330(f8(a923,f935(a923,a923),x46641),a328),f330(f330(f7(x46641,f935(x46641,a923),a923),f332(x46641)),x46643)))),f330(f330(f7(x46642,f935(x46642,a923),a923),f332(x46642)),x46644)))),f233(x46641,x46642,x46643,x46644)) % 199.45/199.83 [4700]E(f330(f330(f40(x47001,f935(f934(x47001,x47002),a923)),x47003),f330(f330(f18(x47001,f935(x47002,f935(f934(x47001,x47002),a923)),f935(f934(x47001,x47002),a923)),f330(f330(f8(f935(x47002,a923),f935(f935(x47002,f935(f934(x47001,x47002),a923)),f935(f934(x47001,x47002),a923)),x47001),f40(x47002,f935(f934(x47001,x47002),a923))),x47004)),f330(f330(f7(x47001,f935(f934(x47001,x47002),a923),f935(x47002,f935(f934(x47001,x47002),a923))),f330(f330(f8(f935(x47002,f935(f935(f934(x47001,x47002),a923),f935(f934(x47001,x47002),a923))),f935(f935(f934(x47001,x47002),a923),f935(x47002,f935(f934(x47001,x47002),a923))),x47001),f7(x47002,f935(f934(x47001,x47002),a923),f935(f934(x47001,x47002),a923))),f330(f330(f8(f935(x47002,f934(x47001,x47002)),f935(x47002,f935(f935(f934(x47001,x47002),a923),f935(f934(x47001,x47002),a923))),x47001),f330(f8(f934(x47001,x47002),f935(f935(f934(x47001,x47002),a923),f935(f934(x47001,x47002),a923)),x47002),f312(f934(x47001,x47002)))),f255(x47001,x47002)))),f191(f935(f934(x47001,x47002),a923))))),f330(f330(f257(x47001,x47002),x47003),x47004)) % 199.45/199.83 [4266]E(f330(f330(f137(x42661),f330(f330(f178(x42661),x42662),x42663)),f330(f330(f178(x42661),f330(f330(f23(a928),x42662),f330(f192(f929(x42661)),x42663))),x42664)),f330(f330(f178(x42661),x42662),f330(f330(f137(x42661),x42663),x42664))) % 199.45/199.83 [4267]E(f330(f330(f137(x42671),f330(f330(f141(x42671),x42672),x42673)),f330(f330(f141(x42671),f330(f330(f23(a928),x42672),f330(f192(f929(x42671)),x42673))),x42674)),f330(f330(f141(x42671),x42672),f330(f330(f137(x42671),x42673),x42674))) % 199.45/199.83 [4316]E(f330(f330(f82(a928),f330(f330(f83(a928),x43161),x43162)),f330(f330(f82(a928),f330(f330(f83(a928),x43163),x43162)),x43164)),f330(f330(f82(a928),f330(f330(f83(a928),f330(f330(f82(a928),x43161),x43163)),x43162)),x43164)) % 199.45/199.83 [4461]E(f92(x44611,f330(f330(f7(x44611,x44612,a923),f330(f330(f8(x44612,f935(x44612,a923),x44611),a327),x44613)),x44614)),f330(f94(x44611,x44612,f245(f935(x44611,a923)),x44613),x44614)) % 199.45/199.83 [4510]P108(f330(f330(f238(f935(x45101,a923)),f330(f330(f23(f935(x45101,a923)),f330(f287(x45102,x45101),x45103)),f330(f287(x45102,x45101),x45104))),f330(f287(x45102,x45101),f330(f330(f23(f935(f934(x45102,x45101),a923)),x45103),x45104)))) % 199.45/199.83 [4511]P108(f330(f330(f238(f935(x45111,a923)),f330(f330(f23(f935(x45111,a923)),f330(f267(x45111,x45112),x45113)),f330(f267(x45111,x45112),x45114))),f330(f267(x45111,x45112),f330(f330(f23(f935(f934(x45111,x45112),a923)),x45113),x45114)))) % 199.45/199.83 [4619]E(f330(f330(f82(a1),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x46191),x46192)),f191(f935(f934(a928,a928),a923)))))),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x46193),x46194)),f191(f935(f934(a928,a928),a923)))))),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),f330(f330(f82(a928),x46191),x46193)),f330(f330(f82(a928),x46192),x46194))),f191(f935(f934(a928,a928),a923)))))) % 199.45/199.83 [4659]E(f330(f330(f83(a1),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x46591),x46592)),f191(f935(f934(a928,a928),a923)))))),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x46593),x46594)),f191(f935(f934(a928,a928),a923)))))),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),f330(f330(f82(a928),f330(f330(f83(a928),x46591),x46593)),f330(f330(f83(a928),x46592),x46594))),f330(f330(f82(a928),f330(f330(f83(a928),x46591),x46594)),f330(f330(f83(a928),x46592),x46593)))),f191(f935(f934(a928,a928),a923)))))) % 199.45/199.83 [4680]E(f330(f265(x46801),f330(f330(f8(f935(x46802,a923),a923,x46801),f90(x46802)),f330(f330(f8(f935(x46802,a923),f935(x46802,a923),x46801),f330(f18(x46802,a923,a923),f330(f330(f8(a923,f935(a923,a923),x46802),a333),f330(f330(f7(x46802,f935(x46802,a923),a923),f332(x46802)),x46803)))),f330(f330(f7(x46801,f935(x46802,f935(x46801,a923)),f935(x46802,a923)),f330(f330(f8(f935(f935(x46801,a923),a923),f935(f935(x46802,f935(x46801,a923)),f935(x46802,a923)),x46801),f8(f935(x46801,a923),a923,x46802)),f332(x46801))),x46804)))),f330(f330(f41(x46802,f935(x46801,a923)),x46803),x46804)) % 199.45/199.83 [4715]E(f330(f330(f292(x47151,x47151,x47151),f330(f330(f312(f934(x47151,x47151)),f330(f330(f255(x47151,x47151),x47152),x47153)),x47154)),f310(x47151,f330(f330(f312(f934(x47151,x47151)),f330(f330(f255(x47151,x47151),x47152),x47153)),x47154))),f330(f330(f113(f935(f934(x47151,x47151),a923)),f330(f330(f292(x47151,x47151,x47151),x47154),f310(x47151,x47154))),f330(f265(f934(x47151,x47151)),f330(f260(x47151,x47151,a923),f330(f330(f7(x47151,f935(x47151,a923),f935(x47151,a923)),f330(f330(f8(f935(a923,a923),f935(f935(x47151,a923),f935(x47151,a923)),x47151),f8(a923,a923,x47151)),f330(f330(f8(a923,f935(a923,a923),x47151),a328),f330(f330(f7(x47151,f935(f934(x47151,x47151),a923),a923),f330(f330(f8(f934(x47151,x47151),f935(f935(f934(x47151,x47151),a923),a923),x47151),f332(f934(x47151,x47151))),f330(f330(f7(x47151,x47151,f934(x47151,x47151)),f255(x47151,x47151)),x47152))),f310(x47151,x47154))))),f330(f330(f7(x47151,f935(f934(x47151,x47151),a923),a923),f330(f330(f8(f934(x47151,x47151),f935(f935(f934(x47151,x47151),a923),a923),x47151),f332(f934(x47151,x47151))),f330(f255(x47151,x47151),x47153))),f310(x47151,x47154))))))) % 199.45/199.83 [4512]E(f330(f139(x45121,f330(f330(f18(x45121,a923,a923),f330(f330(f8(a923,f935(a923,a923),x45121),a328),x45122)),x45123)),x45124),f330(f139(x45121,x45123),f330(f139(x45121,x45122),x45124))) % 199.45/199.83 [4613]E(f330(f330(f137(x46131),f330(f330(f330(f99(f929(x46131)),f330(f330(f332(a928),f2(a928)),x46132)),f330(f330(f154(x46131),x46133),f116(x46131))),f116(x46131))),f179(x46131,x46134,f330(f265(a928),f330(f330(f7(a928,f935(a928,a923),a923),f330(f330(f8(a928,f935(f935(a928,a923),a923),a928),f332(a928)),a115)),x46132)))),f179(x46131,f330(f330(f154(x46131),x46133),x46134),x46132)) % 199.45/199.83 [4711]E(f330(f265(f934(x47111,x47112)),f330(f330(f8(f935(a928,a923),a923,f934(x47111,x47112)),f89(a928)),f330(f330(f7(f934(x47111,x47112),f935(a928,a923),f935(a928,a923)),f330(f330(f8(f935(a928,f935(a923,a923)),f935(f935(a928,a923),f935(a928,a923)),f934(x47111,x47112)),f18(a928,a923,a923)),f330(f330(f8(f935(a928,a923),f935(a928,f935(a923,a923)),f934(x47111,x47112)),f330(f8(a923,f935(a923,a923),a928),a328)),f330(f330(f7(f934(x47111,x47112),f935(a928,f934(x47111,x47112)),f935(a928,a923)),f330(f330(f8(f935(f934(x47111,x47112),a923),f935(f935(a928,f934(x47111,x47112)),f935(a928,a923)),f934(x47111,x47112)),f8(f934(x47111,x47112),a923,a928)),a327)),f330(f330(f18(a928,x47112,f934(x47111,x47112)),f330(f330(f8(x47111,f935(x47112,f934(x47111,x47112)),a928),f255(x47111,x47112)),f330(f167(x47111),x47113))),f330(f167(x47112),x47114)))))),f330(f330(f7(a928,a928,a923),f239(a928)),f330(f330(f236(a928),f330(f192(f929(x47111)),x47113)),f330(f192(f929(x47112)),x47114)))))),f330(f175(f934(x47111,x47112)),f330(f330(f184(x47111,x47112),x47113),x47114))) % 199.45/199.83 [4632]E(f330(f265(f934(x46321,x46322)),f330(f260(x46321,x46322,a923),f330(f330(f7(x46321,f935(x46322,a923),f935(x46322,a923)),f330(f330(f8(f935(a923,a923),f935(f935(x46322,a923),f935(x46322,a923)),x46321),f8(a923,a923,x46322)),f330(f330(f8(a923,f935(a923,a923),x46321),a328),x46323))),x46324))),f330(f330(f257(x46321,x46322),f330(f265(x46321),x46323)),f330(f16(f935(x46322,a923),x46321),f330(f265(x46322),x46324)))) % 199.45/199.83 [4635]E(f330(f265(f934(x46351,x46352)),f330(f260(x46351,x46352,a923),f330(f330(f18(x46351,f935(x46352,a923),f935(x46352,a923)),f330(f330(f8(f935(a923,a923),f935(f935(x46352,a923),f935(x46352,a923)),x46351),f8(a923,a923,x46352)),f330(f330(f8(a923,f935(a923,a923),x46351),a328),x46353))),x46354))),f330(f330(f257(x46351,x46352),f330(f265(x46351),x46353)),f330(f330(f8(f935(x46352,a923),f935(x46352,a923),x46351),f265(x46352)),x46354))) % 199.45/199.83 [4647]E(f330(f265(x46471),f330(f330(f8(f935(x46472,a923),a923,x46471),f90(x46472)),f330(f330(f8(f935(x46472,a923),f935(x46472,a923),x46471),f330(f18(x46472,a923,a923),f330(f330(f8(a923,f935(a923,a923),x46472),a333),f330(f330(f7(x46472,f935(x46472,a923),a923),f332(x46472)),x46473)))),x46474))),f330(f330(f41(x46472,f935(x46471,a923)),x46473),f330(f330(f8(f935(x46471,a923),f935(x46471,a923),x46472),f265(x46471)),f330(f7(x46471,x46472,a923),x46474)))) % 199.45/199.83 [4692]E(f330(f330(f157(f934(x46921,a928),x46921),f254(x46921,a928)),f330(f139(f934(x46921,a928),f330(f330(f7(f934(x46921,a928),f935(a928,a923),a923),f330(f330(f8(a928,f935(f935(a928,a923),a923),f934(x46921,a928)),f332(a928)),f259(x46921,a928))),x46922)),f330(f330(f184(x46921,a928),x46923),f142(a928,f330(f305(a928,x46924),f330(f330(f82(a928),x46924),f330(f192(f929(x46921)),x46923))))))),f330(f330(f157(f934(x46921,a928),x46921),f254(x46921,a928)),f330(f139(f934(x46921,a928),f330(f330(f7(f934(x46921,a928),f935(a928,a923),a923),f330(f330(f8(a928,f935(f935(a928,a923),a923),f934(x46921,a928)),f332(a928)),f330(f330(f7(f934(x46921,a928),a928,a928),f330(f330(f8(a928,f935(a928,a928),f934(x46921,a928)),f82(a928)),f259(x46921,a928))),x46924))),x46922)),f330(f330(f184(x46921,a928),x46923),f142(a928,f330(f305(a928,f2(a928)),f330(f192(f929(x46921)),x46923))))))) % 199.45/199.83 [4693]E(f330(a115,f330(f330(f237(a928),f330(f192(f929(x46931)),x46932)),f330(f145(a928,f929(x46933),f330(f7(f929(x46933),a928,a928),f330(f330(f8(a928,f935(a928,a928),f929(x46933)),f237(a928)),f330(f330(f7(f929(x46933),a928,a928),f330(f330(f8(a928,f935(a928,a928),f929(x46933)),f23(a928)),f192(f929(x46933)))),f330(a115,f2(a928))))),f2(a928)),f330(f171(f929(x46933)),f330(f139(f929(x46933),f330(f330(f8(a923,a923,f929(x46933)),a325),f330(f330(f7(f929(x46933),f929(x46933),a923),a327),f116(x46933)))),x46934))))),f330(f330(f237(a928),f330(a115,f330(f192(f929(x46931)),x46932))),f330(f145(a928,f929(x46933),f330(f7(f929(x46933),a928,a928),f330(f330(f8(a928,f935(a928,a928),f929(x46933)),f237(a928)),f192(f929(x46933)))),f2(a928)),f330(f171(f929(x46933)),x46934)))) % 199.45/199.83 [4646]E(f330(f330(f137(x46461),f179(x46461,x46462,x46463)),f179(x46461,x46464,f330(f265(a928),f330(f330(f7(a928,f935(a928,a923),a923),f330(f330(f8(a928,f935(f935(a928,a923),a923),a928),f332(a928)),f330(f330(f7(a928,a928,a928),f82(a928)),f330(f192(f929(x46461)),x46462)))),x46463)))),f179(x46461,f330(f330(f137(x46461),x46462),x46464),x46463)) % 199.45/199.83 [4694]E(f38(f935(x46941,a923),f330(f265(f935(x46941,a923)),f330(f330(f8(f935(x46942,a923),a923,f935(x46941,a923)),f89(x46942)),f330(f330(f8(f935(x46942,a923),f935(x46942,a923),f935(x46941,a923)),f330(f18(x46942,a923,a923),f330(f330(f8(a923,f935(a923,a923),x46942),a328),f330(f330(f7(x46942,f935(x46942,a923),a923),f332(x46942)),x46943)))),f330(f330(f7(f935(x46941,a923),f935(x46942,f935(x46941,a923)),f935(x46942,a923)),f330(f330(f8(f935(f935(x46941,a923),a923),f935(f935(x46942,f935(x46941,a923)),f935(x46942,a923)),f935(x46941,a923)),f8(f935(x46941,a923),a923,x46942)),a327)),x46944))))),f330(f330(f40(x46942,f935(x46941,a923)),x46943),x46944)) % 199.45/199.83 [4695]E(f39(f935(x46951,a923),f330(f265(f935(x46951,a923)),f330(f330(f8(f935(x46952,a923),a923,f935(x46951,a923)),f89(x46952)),f330(f330(f8(f935(x46952,a923),f935(x46952,a923),f935(x46951,a923)),f330(f18(x46952,a923,a923),f330(f330(f8(a923,f935(a923,a923),x46952),a328),f330(f330(f7(x46952,f935(x46952,a923),a923),f332(x46952)),x46953)))),f330(f330(f7(f935(x46951,a923),f935(x46952,f935(x46951,a923)),f935(x46952,a923)),f330(f330(f8(f935(f935(x46951,a923),a923),f935(f935(x46952,f935(x46951,a923)),f935(x46952,a923)),f935(x46951,a923)),f8(f935(x46951,a923),a923,x46952)),a327)),x46954))))),f330(f330(f41(x46952,f935(x46951,a923)),x46953),x46954)) % 199.45/199.83 [4702]E(f330(f330(f154(f929(x47021)),f330(f330(f154(x47021),x47022),f330(f145(f929(x47021),f929(x47021),f137(x47021),f116(x47021)),f330(f330(f157(f929(x47021),f929(x47021)),f159(f929(x47021),x47021,f116(x47021),f330(f330(f8(f929(x47021),f935(f929(x47021),f929(x47021)),x47021),f16(f929(x47021),f929(x47021))),f330(f330(f7(x47021,f929(x47021),f929(x47021)),f154(x47021)),f116(x47021))))),x47023)))),f182(x47021,f330(f330(f154(f929(x47021)),x47024),f330(f145(f929(f929(x47021)),f929(f929(x47021)),f137(f929(x47021)),f116(f929(x47021))),f330(f330(f157(f929(x47021),f929(f929(x47021))),f159(f929(f929(x47021)),x47021,f116(f929(x47021)),f330(f16(f935(f929(x47021),f929(f929(x47021))),x47021),f330(f330(f7(f929(x47021),f929(f929(x47021)),f929(f929(x47021))),f154(f929(x47021))),f116(f929(x47021)))))),x47023))))),f182(x47021,f330(f330(f154(f929(x47021)),f330(f330(f154(x47021),x47022),x47024)),x47023))) % 199.45/199.83 [4712]E(f330(f265(f934(x47121,x47121)),f330(f260(x47121,x47121,a923),f330(f330(f7(x47121,f935(f934(x47122,x47122),a923),f935(x47121,a923)),f330(f330(f8(f935(x47121,f935(f935(f934(x47122,x47122),a923),a923)),f935(f935(f934(x47122,x47122),a923),f935(x47121,a923)),x47121),f7(x47121,f935(f934(x47122,x47122),a923),a923)),f330(f330(f8(f935(x47121,f934(x47122,x47122)),f935(x47121,f935(f935(f934(x47122,x47122),a923),a923)),x47121),f330(f8(f934(x47122,x47122),f935(f935(f934(x47122,x47122),a923),a923),x47121),f332(f934(x47122,x47122)))),f330(f330(f7(x47121,f935(x47121,x47122),f935(x47121,f934(x47122,x47122))),f330(f330(f8(f935(x47122,f934(x47122,x47122)),f935(f935(x47121,x47122),f935(x47121,f934(x47122,x47122))),x47121),f8(x47122,f934(x47122,x47122),x47121)),f330(f330(f8(x47122,f935(x47122,f934(x47122,x47122)),x47121),f255(x47122,x47122)),x47123))),x47123)))),x47124))),f330(f330(f291(x47122,x47121),x47124),x47123)) % 199.45/199.83 [4770]~E(f30(x47701,x47702),f28(x47703,x47704,x47705)) % 199.45/199.83 [4771]~E(f30(x47711,x47712),f27(x47713,x47714,x47715)) % 199.45/199.83 [4772]~E(f31(x47721,x47722),f28(x47723,x47724,x47725)) % 199.45/199.83 [4773]~E(f31(x47731,x47732),f27(x47733,x47734,x47735)) % 199.45/199.83 [4774]~E(f26(x47741,x47742),f28(x47743,x47744,x47745)) % 199.45/199.83 [4775]~E(f26(x47751,x47752),f27(x47753,x47754,x47755)) % 199.45/199.83 [4776]~E(f28(x47761,x47762,x47763),f30(x47764,x47765)) % 199.45/199.83 [4777]~E(f28(x47771,x47772,x47773),f31(x47774,x47775)) % 199.45/199.83 [4778]~E(f28(x47781,x47782,x47783),f26(x47784,x47785)) % 199.45/199.83 [4779]~E(f27(x47791,x47792,x47793),f30(x47794,x47795)) % 199.45/199.83 [4780]~E(f27(x47801,x47802,x47803),f31(x47804,x47805)) % 199.45/199.83 [4781]~E(f27(x47811,x47812,x47813),f26(x47814,x47815)) % 199.45/199.83 [3840]E(f330(f330(f157(x38401,x38402),x38403),f172(x38401,x38404,x38405)),f172(x38402,x38404,f330(x38403,x38405))) % 199.45/199.83 [4177]E(f133(x41771,x41772,x41773,f129(x41771,x41774,x41775)),f129(x41772,f330(x41773,x41774),f133(x41771,x41772,x41773,x41775))) % 199.45/199.83 [4410]E(f330(f76(x44101,x44102,x44103,x44104,x44105),x44104),x44105) % 199.45/199.83 [4462]E(f256(x44621,x44622,x44623,f246(x44622,x44621,x44624),f246(x44623,x44622,x44625)),f246(x44623,x44621,f256(x44623,x44622,x44621,x44625,x44624))) % 199.45/199.83 [4034]E(f330(f330(f260(x40341,x40342,x40343),x40344),x40345),f330(f330(x40344,f330(f254(x40341,x40342),x40345)),f330(f259(x40341,x40342),x40345))) % 199.45/199.83 [4070]E(f330(f330(f330(f66(x40701,x40702,x40703),x40704),x40705),f191(f935(x40702,a923))),x40705) % 199.45/199.83 [4350]E(f330(f74(f929(x43501),f929(x43502),f929(x43503),f330(f157(x43501,x43502),x43504)),f330(f157(x43503,x43501),x43505)),f330(f157(x43503,x43502),f330(f74(x43501,x43502,x43503,x43504),x43505))) % 199.45/199.83 [4424]E(f87(x44241,f67(x44242,x44241,x44243,x44244,x44245)),f330(f330(f65(x44242,x44241,x44243),x44244),x44245)) % 199.45/199.83 [4458]E(f330(f330(f82(a928),f330(f330(f82(a928),f330(x44581,f330(f254(x44582,x44583),x44584))),f330(x44585,f330(f259(x44582,x44583),x44584)))),f330(a115,f2(a928))),f264(x44582,x44583,x44581,x44585,x44584)) % 199.45/199.83 [3970]E(f330(f330(f178(x39701),x39702),f330(f330(f157(x39703,x39701),x39704),x39705)),f330(f330(f157(x39703,x39701),x39704),f330(f330(f178(x39703),x39702),x39705))) % 199.45/199.83 [3971]E(f330(f330(f141(x39711),x39712),f330(f330(f157(x39713,x39711),x39714),x39715)),f330(f330(f157(x39713,x39711),x39714),f330(f330(f141(x39713),x39712),x39715))) % 199.45/199.83 [4003]E(f330(f330(f157(x40031,x40032),x40033),f330(f330(f154(x40031),x40034),x40035)),f330(f330(f154(x40032),f330(x40033,x40034)),f330(f330(f157(x40031,x40032),x40033),x40035))) % 199.45/199.83 [4064]E(f330(f313(x40641,x40642,x40643),f330(f330(f312(x40641),x40644),x40645)),f330(f330(f312(x40642),f330(x40643,x40644)),f330(f313(x40641,x40642,x40643),x40645))) % 199.45/199.83 [4094]E(f176(x40941,f330(f330(f154(x40941),x40942),x40943),f330(f330(f154(x40941),x40944),x40945)),f330(f330(f154(x40941),x40942),f330(f330(f154(x40941),x40944),f176(x40941,x40943,x40945)))) % 199.45/199.83 [4131]E(f330(f330(f184(x41311,x41312),f330(f330(f178(x41311),x41313),x41314)),f330(f330(f178(x41312),x41313),x41315)),f330(f330(f178(f934(x41311,x41312)),x41313),f330(f330(f184(x41311,x41312),x41314),x41315))) % 199.45/199.83 [4132]E(f330(f330(f184(x41321,x41322),f330(f330(f141(x41321),x41323),x41324)),f330(f330(f141(x41322),x41323),x41325)),f330(f330(f141(f934(x41321,x41322)),x41323),f330(f330(f184(x41321,x41322),x41324),x41325))) % 199.45/199.83 [4142]E(f330(f330(f162(x41421,f330(f330(f154(x41421),x41422),x41423)),f330(a115,x41424)),x41425),f330(f330(f154(x41421),x41422),f330(f330(f162(x41421,x41423),x41424),x41425))) % 199.45/199.83 [4145]E(f330(f330(f137(x41451),f330(f330(f157(x41452,x41451),x41453),x41454)),f330(f330(f157(x41452,x41451),x41453),x41455)),f330(f330(f157(x41452,x41451),x41453),f330(f330(f137(x41452),x41454),x41455))) % 199.45/199.83 [4149]E(f330(f330(x41491,x41492),f330(f330(f248(x41493,x41494,x41491),x41492),x41495)),f330(f330(f248(x41493,x41494,x41491),x41492),f330(a115,x41495))) % 199.45/199.83 [4181]E(f166(x41811,x41812,x41813,f330(f330(f154(x41811),x41814),x41815)),f330(f330(f137(x41812),f330(x41813,x41814)),f166(x41811,x41812,x41813,x41815))) % 199.45/199.83 [4193]E(f330(f330(f292(x41931,x41932,x41933),f330(f289(x41932,x41931),x41934)),f330(f289(x41933,x41932),x41935)),f330(f289(x41933,x41931),f330(f330(f292(x41933,x41932,x41931),x41935),x41934))) % 199.45/199.83 [4225]E(f330(f330(f330(f186(f929(x42251),f929(x42251)),x42252),f170(x42251)),f330(f330(f157(x42253,x42251),x42254),x42255)),f330(f330(f157(x42253,x42251),x42254),f330(f330(f330(f186(f929(x42253),f929(x42253)),x42252),f170(x42253)),x42255))) % 199.45/199.83 [4226]E(f330(f330(f262(x42261,x42262,x42261,x42263),f330(f255(x42262,x42261),x42264)),x42265),f330(x42265,x42264)) % 199.45/199.83 [4252]E(f158(x42521,x42522,f330(f330(f157(x42523,x42521),x42524),x42525)),f158(x42523,f330(f74(x42521,a928,x42523,x42522),x42524),x42525)) % 199.45/199.83 [4315]E(f180(f934(x43151,x43152),f330(f74(x43152,a923,f934(x43151,x43152),x43153),f259(x43151,x43152)),f330(f330(f184(x43151,x43152),x43154),x43155)),f330(f330(f184(x43151,x43152),x43154),f180(x43152,x43153,x43155))) % 199.45/199.83 [4320]E(f330(f313(x43201,x43202,f330(f330(f8(x43203,x43202,x43201),x43204),x43205)),f245(f935(x43201,a923))),f330(f313(x43203,x43202,x43204),f330(f313(x43201,x43203,x43205),f245(f935(x43201,a923))))) % 199.45/199.83 [4333]E(f180(f934(x43331,x43332),f330(f74(x43331,a923,f934(x43331,x43332),x43333),f254(x43331,x43332)),f330(f330(f184(x43331,x43332),x43334),x43335)),f330(f330(f184(x43331,x43332),f180(x43331,x43333,x43334)),x43335)) % 199.45/199.83 [4354]E(f330(f330(f113(f935(x43541,a923)),f330(f314(x43541,x43542,x43543),f330(f330(f312(x43542),x43544),f191(f935(x43542,a923))))),f330(f314(x43541,x43542,x43543),x43545)),f330(f314(x43541,x43542,x43543),f330(f330(f312(x43542),x43544),x43545))) % 199.45/199.83 [4409]E(f330(f330(f137(f934(x44091,x44092)),f330(f330(f157(x44092,f934(x44091,x44092)),f330(f255(x44091,x44092),x44093)),x44094)),f60(x44091,x44092,x44095,x44094)),f60(x44091,x44092,f330(f330(f154(x44091),x44093),x44095),x44094)) % 199.45/199.83 [4411]E(f330(f330(f157(x44111,x44112),x44113),f180(x44111,f330(f74(x44112,a923,x44111,x44114),x44113),x44115)),f180(x44112,x44114,f330(f330(f157(x44111,x44112),x44113),x44115))) % 199.45/199.83 [4416]E(f330(f145(x44161,x44162,f330(f7(x44162,x44161,x44161),f330(f7(x44161,x44162,x44161),x44163)),x44164),f330(f171(x44162),f330(f171(x44162),x44165))),f330(f145(x44161,x44162,x44163,x44164),x44165)) % 199.45/199.83 [4520]P108(f330(f330(f238(f935(x45201,a923)),f330(f313(x45202,x45201,x45203),f330(f330(f104(f935(x45202,a923)),x45204),x45205))),f330(f330(f104(f935(x45201,a923)),f330(f313(x45202,x45201,x45203),x45204)),f330(f313(x45202,x45201,x45203),x45205)))) % 199.45/199.83 [4521]P108(f330(f330(f238(f935(x45211,a923)),f330(f288(x45212,x45211,x45213),f330(f330(f104(f935(x45212,a923)),x45214),x45215))),f330(f330(f104(f935(x45211,a923)),f330(f288(x45212,x45211,x45213),x45214)),f330(f288(x45212,x45211,x45213),x45215)))) % 199.45/199.83 [4620]E(f330(f259(x46201,x46202),f330(f261(x46203,x46201,x46202,x46202,x46204,f33(x46202)),x46205)),f330(f259(x46203,x46202),x46205)) % 199.45/199.83 [4621]E(f330(f254(x46211,x46212),f330(f261(x46211,x46211,x46213,x46212,f33(x46211),x46214),x46215)),f330(f254(x46211,x46213),x46215)) % 199.45/199.83 [4706]P24(x47061,x47062,f330(f330(f312(f927(x47061)),f330(f330(f330(f93(x47061),f330(f330(f7(x47061,f935(a924,a924),f935(a924,a923)),f330(f330(f8(f935(a924,a923),f935(f935(a924,a924),f935(a924,a923)),x47061),f8(a924,a923,a924)),x47063)),f330(f330(f18(a924,a928,a924),f330(f330(f7(a924,a926,f935(a928,a924)),a199),x47064)),x47065))),f26(x47064,x47065)),x47063)),f191(f935(f927(x47061),a923)))) % 199.45/199.83 [4710]P24(x47101,x47102,f330(f330(f312(f927(x47101)),f330(f330(f330(f93(x47101),f330(f330(f7(x47101,f935(a924,a923),f935(a924,a923)),f330(f330(f8(f935(a924,f935(a923,a923)),f935(f935(a924,a923),f935(a924,a923)),x47101),f18(a924,a923,a923)),f330(f330(f8(f935(a924,a923),f935(a924,f935(a923,a923)),x47101),f330(f8(a923,f935(a923,a923),a924),a328)),x47103))),f330(f330(f8(a923,a923,a924),a325),x47104))),f30(x47104,x47105)),x47103)),f191(f935(f927(x47101),a923)))) % 199.45/199.83 [3810]E(f330(f330(f330(f330(f208(x38101),x38102),x38103),x38104),x38105),f203(x38101,x38102)) % 199.45/199.83 [3811]E(f330(f330(f330(f330(f209(x38111),x38112),x38113),x38114),x38115),f195(x38111,x38112)) % 199.45/199.83 [3856]E(f96(x38561,x38562,f330(f330(f330(f93(x38561),x38563),x38564),x38565)),f2(a928)) % 199.45/199.83 [4182]E(f330(f330(f40(x41821,f935(x41822,a923)),f330(f330(f312(x41821),x41823),x41824)),x41825),f330(f330(f113(f935(x41822,a923)),f330(x41825,x41823)),f330(f330(f40(x41821,f935(x41822,a923)),x41824),x41825))) % 199.45/199.83 [4183]E(f330(f330(f41(x41831,f935(x41832,a923)),f330(f330(f312(x41831),x41833),x41834)),x41835),f330(f330(f104(f935(x41832,a923)),f330(x41835,x41833)),f330(f330(f41(x41831,f935(x41832,a923)),x41834),x41835))) % 199.45/199.83 [4233]E(f330(f121(x42331,x42332,f330(x42333,x42334)),f330(f330(f7(x42331,a102,f930(x42332)),x42335),x42334)),f330(f201(x42331,x42332,x42333,x42335),x42334)) % 199.45/199.83 [4246]E(f330(f330(f113(f935(x42461,a923)),f330(f313(x42462,x42461,x42463),x42464)),f330(f313(x42462,x42461,x42463),x42465)),f330(f313(x42462,x42461,x42463),f330(f330(f113(f935(x42462,a923)),x42464),x42465))) % 199.45/199.83 [4247]E(f330(f330(f113(f935(x42471,a923)),f330(f288(x42472,x42471,x42473),x42474)),f330(f288(x42472,x42471,x42473),x42475)),f330(f288(x42472,x42471,x42473),f330(f330(f113(f935(x42472,a923)),x42474),x42475))) % 199.45/199.83 [4248]E(f330(f330(f23(f935(x42481,a923)),f330(f314(x42481,x42482,x42483),x42484)),f330(f314(x42481,x42482,x42483),x42485)),f330(f314(x42481,x42482,x42483),f330(f330(f23(f935(x42482,a923)),x42484),x42485))) % 199.45/199.83 [4249]E(f330(f330(f104(f935(x42491,a923)),f330(f314(x42491,x42492,x42493),x42494)),f330(f314(x42491,x42492,x42493),x42495)),f330(f314(x42491,x42492,x42493),f330(f330(f104(f935(x42492,a923)),x42494),x42495))) % 199.45/199.83 [4250]E(f330(f330(f113(f935(x42501,a923)),f330(f314(x42501,x42502,x42503),x42504)),f330(f314(x42501,x42502,x42503),x42505)),f330(f314(x42501,x42502,x42503),f330(f330(f113(f935(x42502,a923)),x42504),x42505))) % 199.45/199.83 [4311]E(f330(f330(f162(x43111,f330(f330(f137(x43111),x43112),f330(f330(f154(x43111),x43113),x43114))),f330(f192(f929(x43111)),x43112)),x43115),f330(f330(f137(x43111),x43112),f330(f330(f154(x43111),x43115),x43114))) % 199.45/199.83 [4318]E(f330(f330(f41(x43181,f935(x43182,a923)),x43183),f330(f330(f8(f935(x43182,a923),f935(x43182,a923),x43181),f330(f312(x43182),x43184)),x43185)),f330(f330(f312(x43182),x43184),f330(f330(f41(x43181,f935(x43182,a923)),x43183),x43185))) % 199.45/199.83 [4472]E(f330(f330(f157(x44721,x44722),x44723),f330(f139(x44721,f330(f74(x44722,a923,x44721,x44724),x44723)),x44725)),f330(f139(x44722,x44724),f330(f330(f157(x44721,x44722),x44723),x44725))) % 199.45/199.83 [4478]E(f330(f192(f929(x44781)),f330(f139(x44781,x44782),f330(f330(f157(x44783,x44781),x44784),x44785))),f330(f192(f929(x44783)),f330(f139(x44783,f330(f74(x44781,a923,x44783,x44782),x44784)),x44785))) % 199.45/199.83 [4685]E(f330(f159(f929(f934(x46851,x46852)),x46852,f116(f934(x46851,x46852)),f330(f330(f7(x46852,f935(f929(x46852),f929(f934(x46851,x46852))),f935(f929(x46852),f929(f934(x46851,x46852)))),f330(f330(f8(f935(f929(f934(x46851,x46852)),f929(f934(x46851,x46852))),f935(f935(f929(x46852),f929(f934(x46851,x46852))),f935(f929(x46852),f929(f934(x46851,x46852)))),x46852),f8(f929(f934(x46851,x46852)),f929(f934(x46851,x46852)),f929(x46852))),f330(f330(f8(f934(x46851,x46852),f935(f929(f934(x46851,x46852)),f929(f934(x46851,x46852))),x46852),f154(f934(x46851,x46852))),f330(f255(x46851,x46852),x46853)))),f330(f184(x46851,x46852),x46854))),x46855),f330(f330(f184(x46851,x46852),f330(f330(f154(x46851),x46853),x46854)),x46855)) % 199.45/199.83 [4174]E(f330(f330(f162(x41741,f330(f330(f162(x41741,x41742),x41743),x41744)),x41743),x41745),f330(f330(f162(x41741,x41742),x41743),x41745)) % 199.45/199.83 [4227]E(f330(f287(x42271,x42272),f330(f330(f312(f934(x42271,x42272)),f330(f330(f255(x42271,x42272),x42273),x42274)),x42275)),f330(f330(f312(x42272),x42274),f330(f287(x42271,x42272),x42275))) % 199.45/199.83 [4228]E(f330(f267(x42281,x42282),f330(f330(f312(f934(x42281,x42282)),f330(f330(f255(x42281,x42282),x42283),x42284)),x42285)),f330(f330(f312(x42281),x42283),f330(f267(x42281,x42282),x42285))) % 199.45/199.83 [4276]E(f125(x42761,x42762,f330(x42763,x42764),f330(f330(f7(x42761,a102,f930(f932(x42762))),x42765),x42764)),f330(f198(x42761,x42762,x42763,x42765),x42764)) % 199.45/199.83 [4304]E(f330(f330(f23(f935(f934(x43041,x43042),a923)),f330(f330(f257(x43041,x43042),x43043),x43044)),f330(f330(f257(x43041,x43042),x43045),x43044)),f330(f330(f257(x43041,x43042),f330(f330(f23(f935(x43041,a923)),x43043),x43045)),x43044)) % 199.45/199.83 [4305]E(f330(f330(f104(f935(f934(x43051,x43052),a923)),f330(f330(f257(x43051,x43052),x43053),x43054)),f330(f330(f257(x43051,x43052),x43055),x43054)),f330(f330(f257(x43051,x43052),f330(f330(f104(f935(x43051,a923)),x43053),x43055)),x43054)) % 199.45/199.83 [4306]E(f330(f330(f113(f935(f934(x43061,x43062),a923)),f330(f330(f257(x43061,x43062),x43063),x43064)),f330(f330(f257(x43061,x43062),x43065),x43064)),f330(f330(f257(x43061,x43062),f330(f330(f113(f935(x43061,a923)),x43063),x43065)),x43064)) % 199.45/199.83 [4365]E(f330(f330(f113(f935(x43651,a923)),f330(f330(f40(x43652,f935(x43651,a923)),x43653),x43654)),f330(f330(f40(x43652,f935(x43651,a923)),x43655),x43654)),f330(f330(f40(x43652,f935(x43651,a923)),f330(f330(f113(f935(x43652,a923)),x43653),x43655)),x43654)) % 199.45/199.83 [4366]E(f330(f330(f104(f935(x43661,a923)),f330(f330(f41(x43662,f935(x43661,a923)),x43663),x43664)),f330(f330(f41(x43662,f935(x43661,a923)),x43665),x43664)),f330(f330(f41(x43662,f935(x43661,a923)),f330(f330(f113(f935(x43662,a923)),x43663),x43665)),x43664)) % 199.45/199.83 [4380]E(f330(f330(f40(x43801,f935(x43802,a923)),x43803),f330(f330(f8(f935(x43802,a923),f935(x43802,a923),x43801),f330(f23(f935(x43802,a923)),x43804)),x43805)),f330(f330(f23(f935(x43802,a923)),x43804),f330(f330(f41(x43801,f935(x43802,a923)),x43803),x43805))) % 199.45/199.83 [4381]E(f330(f330(f40(x43811,f935(x43812,a923)),x43813),f330(f330(f8(f935(x43812,a923),f935(x43812,a923),x43811),f330(f104(f935(x43812,a923)),x43814)),x43815)),f330(f330(f104(f935(x43812,a923)),x43814),f330(f330(f40(x43811,f935(x43812,a923)),x43813),x43815))) % 199.45/199.83 [4382]E(f330(f330(f41(x43821,f935(x43822,a923)),x43823),f330(f330(f8(f935(x43822,a923),f935(x43822,a923),x43821),f330(f113(f935(x43822,a923)),x43824)),x43825)),f330(f330(f113(f935(x43822,a923)),x43824),f330(f330(f41(x43821,f935(x43822,a923)),x43823),x43825))) % 199.45/199.83 [4436]E(f188(f929(x44361),f330(f330(f154(x44361),x44362),x44363),f330(f330(f8(f929(x44361),f929(x44361),a928),f330(f154(x44361),x44364)),f330(f330(f7(a928,x44361,f929(x44361)),f162(x44361,x44363)),x44362)),x44365),f330(f330(f162(x44361,f330(f330(f154(x44361),x44364),x44363)),x44365),x44362)) % 199.45/199.83 [4440]E(f330(f330(f40(x44401,f935(f934(x44402,x44403),a923)),x44404),f330(f330(f8(f935(f934(x44403,x44402),a923),f935(f934(x44402,x44403),a923),x44401),f289(x44403,x44402)),x44405)),f330(f289(x44403,x44402),f330(f330(f40(x44401,f935(f934(x44403,x44402),a923)),x44404),x44405))) % 199.45/199.83 [4441]E(f330(f330(f41(x44411,f935(f934(x44412,x44413),a923)),x44414),f330(f330(f8(f935(f934(x44413,x44412),a923),f935(f934(x44412,x44413),a923),x44411),f289(x44413,x44412)),x44415)),f330(f289(x44413,x44412),f330(f330(f41(x44411,f935(f934(x44413,x44412),a923)),x44414),x44415))) % 199.45/199.83 [4543]P108(f330(f330(f238(f935(x45431,a923)),f330(f330(f23(f935(x45431,a923)),f330(f313(x45432,x45431,x45433),x45434)),f330(f313(x45432,x45431,x45433),x45435))),f330(f313(x45432,x45431,x45433),f330(f330(f23(f935(x45432,a923)),x45434),x45435)))) % 199.45/199.83 [4688]E(f330(f159(f929(f934(x46881,x46882)),x46881,f116(f934(x46881,x46882)),f330(f330(f7(x46881,f935(f929(x46881),f929(f934(x46881,x46882))),f935(f929(x46881),f929(f934(x46881,x46882)))),f330(f330(f8(f935(f929(f934(x46881,x46882)),f929(f934(x46881,x46882))),f935(f935(f929(x46881),f929(f934(x46881,x46882))),f935(f929(x46881),f929(f934(x46881,x46882)))),x46881),f8(f929(f934(x46881,x46882)),f929(f934(x46881,x46882)),f929(x46881))),f330(f330(f8(f934(x46881,x46882),f935(f929(f934(x46881,x46882)),f929(f934(x46881,x46882))),x46881),f154(f934(x46881,x46882))),f330(f330(f7(x46881,x46882,f934(x46881,x46882)),f255(x46881,x46882)),x46883)))),f330(f330(f7(f929(x46881),f929(x46882),f929(f934(x46881,x46882))),f184(x46881,x46882)),x46884))),x46885),f330(f330(f184(x46881,x46882),x46885),f330(f330(f154(x46882),x46883),x46884))) % 199.45/199.83 [4405]E(f330(f330(f113(f935(x44051,a923)),f330(f288(x44052,x44051,x44053),x44054)),f330(f288(x44052,x44051,x44055),x44054)),f330(f288(x44052,x44051,f330(f330(f113(f935(f934(x44052,x44051),a923)),x44053),x44055)),x44054)) % 199.45/199.83 [4442]E(f330(f330(f137(f934(x44421,x44422)),f330(f330(f184(x44421,x44422),x44423),f330(f330(f178(x44422),f330(f192(f929(x44421)),x44423)),x44424))),f330(f330(f184(x44421,x44422),x44425),f330(f330(f141(x44422),f330(f192(f929(x44421)),x44423)),x44424))),f330(f330(f184(x44421,x44422),f330(f330(f137(x44421),x44423),x44425)),x44424)) % 199.45/199.83 [4546]E(f330(f330(f257(x45461,x45462),x45463),f330(f330(f18(x45461,f935(x45462,a923),f935(x45462,a923)),f330(f330(f8(f935(x45462,a923),f935(f935(x45462,a923),f935(x45462,a923)),x45461),f23(f935(x45462,a923))),x45464)),x45465)),f330(f330(f23(f935(f934(x45461,x45462),a923)),f330(f330(f257(x45461,x45462),x45463),x45464)),f330(f330(f257(x45461,x45462),x45463),x45465))) % 199.45/199.83 [4547]E(f330(f330(f257(x45471,x45472),x45473),f330(f330(f18(x45471,f935(x45472,a923),f935(x45472,a923)),f330(f330(f8(f935(x45472,a923),f935(f935(x45472,a923),f935(x45472,a923)),x45471),f104(f935(x45472,a923))),x45474)),x45475)),f330(f330(f104(f935(f934(x45471,x45472),a923)),f330(f330(f257(x45471,x45472),x45473),x45474)),f330(f330(f257(x45471,x45472),x45473),x45475))) % 199.45/199.83 [4548]E(f330(f330(f257(x45481,x45482),x45483),f330(f330(f18(x45481,f935(x45482,a923),f935(x45482,a923)),f330(f330(f8(f935(x45482,a923),f935(f935(x45482,a923),f935(x45482,a923)),x45481),f113(f935(x45482,a923))),x45484)),x45485)),f330(f330(f113(f935(f934(x45481,x45482),a923)),f330(f330(f257(x45481,x45482),x45483),x45484)),f330(f330(f257(x45481,x45482),x45483),x45485))) % 199.45/199.83 [4552]E(f330(f330(f40(x45521,f935(x45522,a923)),x45523),f330(f330(f7(x45521,f935(x45522,a923),f935(x45522,a923)),f330(f330(f8(f935(x45522,a923),f935(f935(x45522,a923),f935(x45522,a923)),x45521),f23(f935(x45522,a923))),x45524)),x45525)),f330(f330(f23(f935(x45522,a923)),f330(f330(f40(x45521,f935(x45522,a923)),x45523),x45524)),x45525)) % 199.45/199.83 [4553]E(f330(f330(f40(x45531,f935(x45532,a923)),x45533),f330(f330(f7(x45531,f935(x45532,a923),f935(x45532,a923)),f330(f330(f8(f935(x45532,a923),f935(f935(x45532,a923),f935(x45532,a923)),x45531),f104(f935(x45532,a923))),x45534)),x45535)),f330(f330(f104(f935(x45532,a923)),f330(f330(f40(x45531,f935(x45532,a923)),x45533),x45534)),x45535)) % 199.45/199.83 [4554]E(f330(f330(f41(x45541,f935(x45542,a923)),x45543),f330(f330(f7(x45541,f935(x45542,a923),f935(x45542,a923)),f330(f330(f8(f935(x45542,a923),f935(f935(x45542,a923),f935(x45542,a923)),x45541),f113(f935(x45542,a923))),x45544)),x45545)),f330(f330(f113(f935(x45542,a923)),f330(f330(f41(x45541,f935(x45542,a923)),x45543),x45544)),x45545)) % 199.45/199.83 [4558]E(f330(f330(f40(x45581,f935(x45582,a923)),x45583),f330(f330(f18(x45581,f935(x45582,a923),f935(x45582,a923)),f330(f330(f8(f935(x45582,a923),f935(f935(x45582,a923),f935(x45582,a923)),x45581),f113(f935(x45582,a923))),x45584)),x45585)),f330(f330(f113(f935(x45582,a923)),f330(f330(f40(x45581,f935(x45582,a923)),x45583),x45584)),f330(f330(f40(x45581,f935(x45582,a923)),x45583),x45585))) % 199.45/199.83 [4559]E(f330(f330(f41(x45591,f935(x45592,a923)),x45593),f330(f330(f18(x45591,f935(x45592,a923),f935(x45592,a923)),f330(f330(f8(f935(x45592,a923),f935(f935(x45592,a923),f935(x45592,a923)),x45591),f104(f935(x45592,a923))),x45594)),x45595)),f330(f330(f104(f935(x45592,a923)),f330(f330(f41(x45591,f935(x45592,a923)),x45593),x45594)),f330(f330(f41(x45591,f935(x45592,a923)),x45593),x45595))) % 199.45/199.83 [4572]E(f330(f330(f40(x45721,f935(x45722,a923)),x45723),f330(f330(f18(x45721,f935(x45722,a923),f935(x45722,a923)),f330(f330(f8(f935(x45722,a923),f935(f935(x45722,a923),f935(x45722,a923)),x45721),f113(f935(x45722,a923))),x45724)),x45725)),f330(f330(f113(f935(x45722,a923)),f38(f935(x45722,a923),f330(f313(x45721,f935(x45722,a923),x45724),x45723))),f38(f935(x45722,a923),f330(f313(x45721,f935(x45722,a923),x45725),x45723)))) % 199.45/199.83 [4573]E(f330(f330(f41(x45731,f935(x45732,a923)),x45733),f330(f330(f18(x45731,f935(x45732,a923),f935(x45732,a923)),f330(f330(f8(f935(x45732,a923),f935(f935(x45732,a923),f935(x45732,a923)),x45731),f104(f935(x45732,a923))),x45734)),x45735)),f330(f330(f104(f935(x45732,a923)),f39(f935(x45732,a923),f330(f313(x45731,f935(x45732,a923),x45734),x45733))),f39(f935(x45732,a923),f330(f313(x45731,f935(x45732,a923),x45735),x45733)))) % 199.45/199.83 [4609]E(f330(f330(f141(x46091),f330(f192(f929(x46091)),f180(x46091,x46092,f330(f330(f157(x46093,x46091),x46094),x46095)))),f330(f330(f157(x46093,x46091),x46094),x46095)),f330(f330(f157(x46093,x46091),x46094),f330(f330(f141(x46093),f330(f192(f929(x46093)),f180(x46093,f330(f74(x46091,a923,x46093,x46092),x46094),x46095))),x46095))) % 199.45/199.83 [4485]E(f330(f330(f137(f934(x44851,x44852)),f330(f330(f184(x44851,x44852),f330(f330(f178(x44851),f330(f192(f929(x44852)),x44853)),x44854)),x44853)),f330(f330(f184(x44851,x44852),f330(f330(f141(x44851),f330(f192(f929(x44852)),x44853)),x44854)),x44855)),f330(f330(f184(x44851,x44852),x44854),f330(f330(f137(x44852),x44853),x44855))) % 199.45/199.83 [4600]E(f87(x46001,f330(f330(f18(x46001,a923,a923),f330(f330(f8(a923,f935(a923,a923),x46001),a328),f330(f330(f7(x46001,f935(x46001,a923),a923),f332(x46001)),x46002))),f330(f330(f7(x46001,x46003,a923),f330(f330(f8(x46003,f935(x46003,a923),x46001),a327),x46004)),x46005))),f330(f79(x46001,x46003,x46002,x46004),x46005)) % 199.45/199.83 [4601]E(f92(x46011,f330(f330(f18(x46011,a923,a923),f330(f330(f8(a923,f935(a923,a923),x46011),a328),f330(f330(f7(x46011,f935(x46011,a923),a923),f332(x46011)),x46012))),f330(f330(f7(x46011,x46013,a923),f330(f330(f8(x46013,f935(x46013,a923),x46011),a327),x46014)),x46015))),f330(f94(x46011,x46013,x46012,x46014),x46015)) % 199.45/199.83 [4649]E(f330(f330(f88(a1,x46491),f330(f106(a1),f330(f330(f82(a1),x46492),a100))),f330(f330(f18(a1,x46491,x46491),f330(f330(f7(a1,x46491,f935(x46491,x46491)),f330(f330(f8(a923,f935(x46491,f935(x46491,x46491)),a1),f99(x46491)),a196)),f188(x46491,x46493,x46494,x46495))),f330(f330(f8(a928,x46491,a1),x46494),f330(f330(f7(a1,a928,a928),f330(f330(f8(a928,f935(a928,a928),a1),f82(a928)),a107)),x46495)))),f188(x46491,x46493,x46494,f330(f330(f82(a928),f330(f106(a928),x46492)),x46495))) % 199.45/199.83 [4684]E(f330(f330(f88(a1,x46841),f330(f106(a1),f330(f330(f82(a1),x46842),a100))),f330(f330(f18(a1,x46841,x46841),f330(f330(f7(a1,x46841,f935(x46841,x46841)),f330(f330(f8(a923,f935(x46841,f935(x46841,x46841)),a1),f99(x46841)),a196)),f330(f187(x46841,x46843,x46844),x46845))),f330(f330(f18(a1,x46841,x46841),f330(f330(f8(a928,f935(x46841,x46841),a1),x46844),f330(f330(f7(a1,a928,a928),f330(f330(f8(a928,f935(a928,a928),a1),f82(a928)),a107)),x46845))),f330(f330(f8(a928,x46841,a1),f187(x46841,x46843,x46844)),f330(f330(f7(a1,a928,a928),f330(f330(f8(a928,f935(a928,a928),a1),f82(a928)),a107)),x46845))))),f330(f187(x46841,x46843,x46844),f330(f330(f82(a928),f330(f106(a928),x46842)),x46845))) % 199.45/199.83 [4726]E(f330(f265(f934(x47261,x47262)),f330(f260(x47261,x47262,a923),f330(f330(f8(f935(x47262,f935(x47263,a923)),f935(x47262,a923),x47261),f330(f8(f935(x47263,a923),a923,x47262),f89(x47263))),f330(f330(f7(x47261,f935(x47262,f935(x47263,a923)),f935(x47262,f935(x47263,a923))),f330(f330(f8(f935(f935(x47263,a923),f935(x47263,a923)),f935(f935(x47262,f935(x47263,a923)),f935(x47262,f935(x47263,a923))),x47261),f8(f935(x47263,a923),f935(x47263,a923),x47262)),f330(f330(f8(f935(x47263,f935(a923,a923)),f935(f935(x47263,a923),f935(x47263,a923)),x47261),f18(x47263,a923,a923)),f330(f330(f8(f935(x47263,a923),f935(x47263,f935(a923,a923)),x47261),f330(f8(a923,f935(a923,a923),x47263),a328)),f330(f330(f7(x47261,f935(f934(x47261,x47263),a923),f935(x47263,a923)),f330(f330(f8(f935(x47263,f935(f935(f934(x47261,x47263),a923),a923)),f935(f935(f934(x47261,x47263),a923),f935(x47263,a923)),x47261),f7(x47263,f935(f934(x47261,x47263),a923),a923)),f330(f330(f8(f935(x47263,f934(x47261,x47263)),f935(x47263,f935(f935(f934(x47261,x47263),a923),a923)),x47261),f330(f8(f934(x47261,x47263),f935(f935(f934(x47261,x47263),a923),a923),x47263),f332(f934(x47261,x47263)))),f255(x47261,x47263)))),x47264))))),f330(f330(f7(x47262,f935(f934(x47263,x47262),a923),f935(x47263,a923)),f330(f330(f8(f935(x47263,f935(f935(f934(x47263,x47262),a923),a923)),f935(f935(f934(x47263,x47262),a923),f935(x47263,a923)),x47262),f7(x47263,f935(f934(x47263,x47262),a923),a923)),f330(f330(f8(f935(x47263,f934(x47263,x47262)),f935(x47263,f935(f935(f934(x47263,x47262),a923),a923)),x47262),f330(f8(f934(x47263,x47262),f935(f935(f934(x47263,x47262),a923),a923),x47263),f332(f934(x47263,x47262)))),f330(f7(x47263,x47262,f934(x47263,x47262)),f255(x47263,x47262))))),x47265))))),f330(f330(f292(x47261,x47263,x47262),x47264),x47265)) % 199.45/199.83 [4800]~E(f27(x48001,x48002,x48003),f28(x48004,x48005,x48006)) % 199.45/199.83 [4334]E(f228(x43341,x43342,x43343,x43344,f224(x43341,x43342,x43345,x43346)),f330(f330(x43344,x43345),x43346)) % 199.45/199.83 [4335]E(f229(x43351,x43352,x43353,x43354,f224(x43351,x43352,x43355,x43356)),f330(f330(x43354,x43355),x43356)) % 199.45/199.83 [4460]E(f130(x44601,x44602,x44603,x44604,f129(x44602,x44605,x44606)),f330(f330(f330(x44604,x44605),x44606),f130(x44601,x44602,x44603,x44604,x44606))) % 199.45/199.83 [4480]E(f76(x44801,x44802,f76(x44801,x44802,x44803,x44804,x44805),x44804,x44806),f76(x44801,x44802,x44803,x44804,x44806)) % 199.45/199.83 [4588]E(f330(f74(f934(x45881,x45882),x45882,f934(x45883,x45884),f259(x45881,x45882)),f261(x45883,x45881,x45884,x45882,x45885,x45886)),f330(f74(x45884,x45882,f934(x45883,x45884),x45886),f259(x45883,x45884))) % 199.45/199.83 [4589]E(f330(f74(f934(x45891,x45892),x45891,f934(x45893,x45894),f254(x45891,x45892)),f261(x45893,x45891,x45894,x45892,x45895,x45896)),f330(f74(x45893,x45891,f934(x45893,x45894),x45895),f254(x45893,x45894))) % 199.45/199.83 [4203]E(f330(f330(f74(x42031,x42032,x42033,x42034),x42035),x42036),f330(x42034,f330(x42035,x42036))) % 199.45/199.83 [4344]E(f227(x43441,f934(x43442,f930(x43442)),x43443,f330(f260(x43442,f930(x43442),x43441),x43444),f330(f138(x43442),f129(x43442,x43445,x43446))),f330(f330(x43444,x43445),x43446)) % 199.45/199.83 [4394]E(f230(x43941,x43942,x43943,x43944,f224(x43941,x43942,x43945,x43946)),f330(f330(f82(a928),f330(f330(f82(a928),f330(x43943,x43945)),f330(x43944,x43946))),f330(a115,f2(a928)))) % 199.45/199.83 [4001]E(f330(f330(f260(x40011,x40012,x40013),x40014),f330(f330(f255(x40011,x40012),x40015),x40016)),f330(f330(x40014,x40015),x40016)) % 199.45/199.83 [4061]E(f330(f330(f330(f8(x40611,x40612,x40613),x40614),x40615),x40616),f330(x40614,f330(x40615,x40616))) % 199.45/199.83 [4062]E(f330(f330(f330(f7(x40621,x40622,x40623),x40624),x40625),x40626),f330(f330(x40624,x40626),x40625)) % 199.45/199.83 [4080]E(f330(f330(f330(f18(x40801,x40802,x40803),x40804),x40805),x40806),f330(f330(x40804,x40806),f330(x40805,x40806))) % 199.45/199.83 [4103]E(f330(f159(x41031,x41032,x41033,x41034),f330(f330(f154(x41032),x41035),x41036)),f330(f330(x41034,x41035),x41036)) % 199.45/199.83 [4141]E(f172(f934(x41411,x41412),f330(f330(f236(a928),x41413),x41414),f330(f330(f255(x41411,x41412),x41415),x41416)),f330(f330(f184(x41411,x41412),f172(x41411,x41413,x41415)),f172(x41412,x41414,x41416))) % 199.45/199.83 [4207]E(f330(f330(f154(f934(x42071,x42072)),f330(f330(f255(x42071,x42072),x42073),x42074)),f330(f330(f184(x42071,x42072),x42075),x42076)),f330(f330(f184(x42071,x42072),f330(f330(f154(x42071),x42073),x42075)),f330(f330(f154(x42072),x42074),x42076))) % 199.45/199.83 [4208]E(f330(f330(f157(x42081,x42082),x42083),f330(f330(f162(x42081,x42084),x42085),x42086)),f330(f330(f162(x42082,f330(f330(f157(x42081,x42082),x42083),x42084)),x42085),f330(x42083,x42086))) % 199.45/199.83 [4232]E(f330(f330(f258(x42321,x42322,x42323,x42324),x42325),x42326),f330(x42324,f330(f330(f255(x42321,x42322),x42325),x42326))) % 199.45/199.83 [4251]E(f330(f145(x42511,x42512,x42513,x42514),f330(f330(f154(x42512),x42515),x42516)),f330(f145(x42511,x42512,x42513,f330(f330(x42513,x42514),x42515)),x42516)) % 199.45/199.83 [4277]E(f263(x42771,x42772,x42773,x42774,f330(f330(f255(x42771,x42772),x42775),x42776)),f330(f330(x42774,x42775),x42776)) % 199.45/199.83 [4358]E(f330(f330(f40(x43581,f935(x43582,a923)),x43583),f330(f74(x43584,f935(x43582,a923),x43581,x43585),x43586)),f330(f330(f40(x43584,f935(x43582,a923)),f330(f313(x43581,x43584,x43586),x43583)),x43585)) % 199.45/199.83 [4408]E(f330(f330(f157(x44081,x44082),x44083),f330(f330(f157(x44084,x44081),x44085),x44086)),f330(f330(f157(x44084,x44082),f330(f74(x44081,x44082,x44084,x44083),x44085)),x44086)) % 199.45/199.83 [4414]E(f330(f313(x44141,x44142,f330(f74(x44143,x44142,x44141,x44144),x44145)),x44146),f330(f313(x44143,x44142,x44144),f330(f313(x44141,x44143,x44145),x44146))) % 199.45/199.83 [4415]E(f330(f314(x44151,x44152,f330(f74(x44153,x44152,x44151,x44154),x44155)),x44156),f330(f314(x44151,x44153,x44155),f330(f314(x44153,x44152,x44154),x44156))) % 199.45/199.83 [4443]E(f330(f145(x44431,x44432,x44433,f330(f145(x44431,x44432,x44433,x44434),x44435)),x44436),f330(f145(x44431,x44432,x44433,x44434),f330(f330(f137(x44432),x44435),x44436))) % 199.45/199.83 [4578]E(f330(f261(x45781,x45781,x45782,x45783,f33(x45781),x45784),f330(f330(f255(x45781,x45782),x45785),x45786)),f330(f330(f255(x45781,x45783),x45785),f330(x45784,x45786))) % 199.45/199.83 [4579]E(f330(f261(x45791,x45792,x45793,x45793,x45794,f33(x45793)),f330(f330(f255(x45791,x45793),x45795),x45796)),f330(f330(f255(x45792,x45793),f330(x45794,x45795)),x45796)) % 199.45/199.83 [4667]E(f330(f330(f157(f934(x46671,x46672),f934(x46671,x46673)),f330(f260(x46671,x46672,f934(x46671,x46673)),f330(f330(f7(x46671,f935(x46672,x46673),f935(x46672,f934(x46671,x46673))),f330(f330(f8(f935(x46673,f934(x46671,x46673)),f935(f935(x46672,x46673),f935(x46672,f934(x46671,x46673))),x46671),f8(x46673,f934(x46671,x46673),x46672)),f255(x46671,x46673))),x46674))),f330(f330(f184(x46671,x46672),x46675),x46676)),f330(f330(f184(x46671,x46673),x46675),f330(f330(f157(x46672,x46673),x46674),x46676))) % 199.45/199.83 [4066]E(f97(x40661,x40662,x40663,f330(f330(f330(f93(x40661),x40664),x40665),x40666)),f330(f330(f330(x40663,x40664),x40665),x40666)) % 199.45/199.83 [4067]E(f98(x40671,x40672,x40673,f330(f330(f330(f93(x40671),x40674),x40675),x40676)),f330(f330(f330(x40673,x40674),x40675),x40676)) % 199.45/199.83 [4261]E(f330(f330(f74(x42611,x42612,x42613,f330(f16(x42612,x42611),x42614)),x42615),x42616),x42614) % 199.45/199.83 [4293]E(f330(f313(x42931,x42932,x42933),f330(f313(x42934,x42931,x42935),x42936)),f330(f313(x42934,x42932,f330(f330(f8(x42931,x42932,x42934),x42933),x42935)),x42936)) % 199.45/199.83 [4299]E(f330(f330(f40(x42991,f935(x42992,a923)),f330(f313(x42993,x42991,x42994),x42995)),x42996),f330(f330(f40(x42993,f935(x42992,a923)),x42995),f330(f330(f8(x42991,f935(x42992,a923),x42993),x42996),x42994))) % 199.45/199.83 [4300]E(f330(f330(f41(x43001,f935(x43002,a923)),f330(f313(x43003,x43001,x43004),x43005)),x43006),f330(f330(f41(x43003,f935(x43002,a923)),x43005),f330(f330(f8(x43001,f935(x43002,a923),x43003),x43006),x43004))) % 199.45/199.83 [4301]E(f330(f330(f40(x43011,f935(x43012,a923)),x43013),f330(f330(f8(x43014,f935(x43012,a923),x43011),x43015),x43016)),f330(f330(f40(x43014,f935(x43012,a923)),f330(f313(x43011,x43014,x43016),x43013)),x43015)) % 199.45/199.83 [4302]E(f330(f330(f41(x43021,f935(x43022,a923)),x43023),f330(f330(f8(x43024,f935(x43022,a923),x43021),x43025),x43026)),f330(f330(f41(x43024,f935(x43022,a923)),f330(f313(x43021,x43024,x43026),x43023)),x43025)) % 199.45/199.83 [4360]E(f330(f330(f40(x43601,f935(x43602,a923)),x43603),f330(f330(f8(f935(x43604,a923),f935(x43602,a923),x43601),f313(x43604,x43602,x43605)),x43606)),f330(f313(x43604,x43602,x43605),f330(f330(f40(x43601,f935(x43604,a923)),x43603),x43606))) % 199.45/199.83 [4361]E(f330(f330(f40(x43611,f935(x43612,a923)),x43613),f330(f330(f8(f935(x43614,a923),f935(x43612,a923),x43611),f288(x43614,x43612,x43615)),x43616)),f330(f288(x43614,x43612,x43615),f330(f330(f40(x43611,f935(x43614,a923)),x43613),x43616))) % 199.45/199.83 [4362]E(f330(f330(f40(x43621,f935(x43622,a923)),x43623),f330(f330(f8(f935(x43624,a923),f935(x43622,a923),x43621),f314(x43622,x43624,x43625)),x43626)),f330(f314(x43622,x43624,x43625),f330(f330(f40(x43621,f935(x43624,a923)),x43623),x43626))) % 199.45/199.83 [4363]E(f330(f330(f41(x43631,f935(x43632,a923)),x43633),f330(f330(f8(f935(x43634,a923),f935(x43632,a923),x43631),f314(x43632,x43634,x43635)),x43636)),f330(f314(x43632,x43634,x43635),f330(f330(f41(x43631,f935(x43634,a923)),x43633),x43636))) % 199.45/199.83 [4448]E(f330(f145(x44481,x44482,f330(f7(x44482,x44481,x44481),x44483),x44484),f330(f171(x44482),f330(f330(f154(x44482),x44485),x44486))),f330(f330(x44483,x44485),f330(f145(x44481,x44482,f330(f7(x44482,x44481,x44481),x44483),x44484),f330(f171(x44482),x44486)))) % 199.45/199.83 [4507]E(f330(f330(f18(f934(x45071,x45072),x45072,x45073),f330(f330(f8(x45074,f935(x45072,x45073),f934(x45071,x45072)),x45075),f330(f330(f8(x45071,x45074,f934(x45071,x45072)),x45076),f254(x45071,x45072)))),f259(x45071,x45072)),f330(f260(x45071,x45072,x45073),f330(f330(f8(x45074,f935(x45072,x45073),x45071),x45075),x45076))) % 199.45/199.83 [4514]E(f330(f145(x45141,x45142,f330(f7(x45142,x45141,x45141),x45143),f330(f145(x45141,x45142,f330(f7(x45142,x45141,x45141),x45143),x45144),f330(f171(x45142),x45145))),f330(f171(x45142),x45146)),f330(f145(x45141,x45142,f330(f7(x45142,x45141,x45141),x45143),x45144),f330(f171(x45142),f330(f330(f137(x45142),x45146),x45145)))) % 199.45/199.83 [4516]E(f330(f330(f157(f934(x45161,x45162),f934(x45163,x45162)),f330(f260(x45161,x45162,f934(x45163,x45162)),f330(f330(f8(x45163,f935(x45162,f934(x45163,x45162)),x45161),f255(x45163,x45162)),x45164))),f330(f330(f184(x45161,x45162),x45165),x45166)),f330(f330(f184(x45163,x45162),f330(f330(f157(x45161,x45163),x45164),x45165)),x45166)) % 199.45/199.83 [4561]P108(f330(f330(f238(f935(x45611,a923)),f330(f288(x45612,x45611,x45613),f330(f330(f41(x45614,f935(x45612,a923)),x45615),x45616))),f330(f330(f41(x45614,f935(x45611,a923)),x45615),f330(f330(f8(f935(x45612,a923),f935(x45611,a923),x45614),f288(x45612,x45611,x45613)),x45616)))) % 199.45/199.83 [4373]E(f330(f330(f184(x43731,x43732),f330(f330(f162(x43731,x43733),x43734),f330(f254(x43731,x43732),x43735))),f330(f330(f162(x43732,x43736),x43734),f330(f259(x43731,x43732),x43735))),f330(f330(f162(f934(x43731,x43732),f330(f330(f184(x43731,x43732),x43733),x43736)),x43734),x43735)) % 199.45/199.83 [4431]E(f330(f330(f113(f935(f934(x44311,x44312),a923)),f330(f330(f292(x44311,x44313,x44312),x44314),x44315)),f330(f330(f292(x44311,x44313,x44312),x44314),x44316)),f330(f330(f292(x44311,x44313,x44312),x44314),f330(f330(f113(f935(f934(x44313,x44312),a923)),x44315),x44316))) % 199.45/199.83 [4526]E(f330(f330(f312(f934(x45261,x45262)),f330(f330(f255(x45261,x45262),x45263),x45264)),f330(f330(f113(f935(f934(x45261,x45262),a923)),f330(f330(f257(x45261,x45262),x45265),f330(f16(f935(x45262,a923),x45261),f330(f330(f312(x45262),x45264),x45266)))),f330(f330(f257(x45261,x45262),f330(f330(f312(x45261),x45263),x45265)),f330(f16(f935(x45262,a923),x45261),x45266)))),f330(f330(f257(x45261,x45262),f330(f330(f312(x45261),x45263),x45265)),f330(f16(f935(x45262,a923),x45261),f330(f330(f312(x45262),x45264),x45266)))) % 199.45/199.83 [4605]E(f330(f330(f104(f935(x46051,a923)),f330(f314(x46051,x46052,f330(f74(f934(x46052,x46053),x46052,x46051,f254(x46052,x46053)),x46054)),x46055)),f330(f314(x46051,x46053,f330(f74(f934(x46052,x46053),x46053,x46051,f259(x46052,x46053)),x46054)),x46056)),f330(f314(x46051,f934(x46052,x46053),x46054),f330(f330(f257(x46052,x46053),x46055),f330(f16(f935(x46053,a923),x46052),x46056)))) % 199.45/199.83 [4454]E(f330(f330(f113(f935(f934(x44541,x44542),a923)),f330(f330(f292(x44541,x44543,x44542),x44544),x44545)),f330(f330(f292(x44541,x44543,x44542),x44546),x44545)),f330(f330(f292(x44541,x44543,x44542),f330(f330(f113(f935(f934(x44541,x44543),a923)),x44544),x44546)),x44545)) % 199.45/199.83 [4586]E(f330(f330(f40(x45861,f935(x45862,a923)),x45863),f330(f330(f7(x45861,f935(x45864,f935(x45862,a923)),f935(x45862,a923)),f330(f330(f8(f935(x45864,a923),f935(f935(x45864,f935(x45862,a923)),f935(x45862,a923)),x45861),f40(x45864,f935(x45862,a923))),x45865)),x45866)),f330(f330(f40(x45864,f935(x45862,a923)),f330(f330(f40(x45861,f935(x45864,a923)),x45863),x45865)),x45866)) % 199.45/199.83 [4587]E(f330(f330(f41(x45871,f935(x45872,a923)),x45873),f330(f330(f7(x45871,f935(x45874,f935(x45872,a923)),f935(x45872,a923)),f330(f330(f8(f935(x45874,a923),f935(f935(x45874,f935(x45872,a923)),f935(x45872,a923)),x45871),f41(x45874,f935(x45872,a923))),x45875)),x45876)),f330(f330(f41(x45874,f935(x45872,a923)),f330(f330(f40(x45871,f935(x45874,a923)),x45873),x45875)),x45876)) % 199.45/199.83 [4639]E(f330(f260(x46391,x46392,f934(x46393,x46394)),f330(f330(f7(x46391,f935(x46392,x46394),f935(x46392,f934(x46393,x46394))),f330(f330(f8(f935(x46394,f934(x46393,x46394)),f935(f935(x46392,x46394),f935(x46392,f934(x46393,x46394))),x46391),f8(x46394,f934(x46393,x46394),x46392)),f330(f330(f8(x46393,f935(x46394,f934(x46393,x46394)),x46391),f255(x46393,x46394)),x46395))),x46396)),f261(x46391,x46393,x46392,x46394,x46395,x46396)) % 199.45/199.83 [4662]E(f330(f313(x46621,x46622,f330(f330(f18(x46621,x46622,x46622),f330(f330(f18(x46621,x46622,f935(x46622,x46622)),f330(f330(f8(a923,f935(x46622,f935(x46622,x46622)),x46621),f99(x46622)),x46623)),x46624)),x46625)),x46626),f330(f330(f113(f935(x46622,a923)),f330(f313(x46621,x46622,x46624),f330(f330(f104(f935(x46621,a923)),x46626),f330(f265(x46621),x46623)))),f330(f313(x46621,x46622,x46625),f330(f330(f104(f935(x46621,a923)),x46626),f330(f265(x46621),f330(f330(f8(a923,a923,x46621),a325),x46623)))))) % 199.45/199.83 [4674]E(f330(f313(x46741,f934(x46742,x46743),f330(f330(f18(x46741,x46743,f934(x46742,x46743)),f330(f330(f8(x46742,f935(x46743,f934(x46742,x46743)),x46741),f255(x46742,x46743)),x46744)),x46745)),x46746),f330(f330(f257(x46742,x46743),f330(f313(x46741,x46742,x46744),x46746)),f330(f330(f8(f935(x46741,a923),f935(x46743,a923),x46742),f313(x46741,x46743,x46745)),f330(f330(f7(x46742,f935(x46741,a923),f935(x46741,a923)),f330(f330(f8(f935(x46741,a923),f935(f935(x46741,a923),f935(x46741,a923)),x46742),f104(f935(x46741,a923))),f330(f330(f8(f935(x46742,a923),f935(x46741,a923),x46742),f314(x46741,x46742,x46744)),f330(f330(f7(x46742,f935(x46742,a923),f935(x46742,a923)),f312(x46742)),f191(f935(x46742,a923)))))),x46746)))) % 199.45/199.83 [4699]E(f249(x46991,x46992,x46993,x46994,x46995,x46996),f330(x46994,f330(f265(x46991),f330(f330(f8(f935(f935(x46993,x46991),a923),a923,x46991),f89(f935(x46993,x46991))),f330(f330(f8(f935(f935(x46993,x46991),a923),f935(f935(x46993,x46991),a923),x46991),f330(f18(f935(x46993,x46991),a923,a923),f330(f330(f8(a923,f935(a923,a923),f935(x46993,x46991)),a328),f330(f330(f7(f935(x46993,x46991),f935(f935(x46993,x46991),a923),a923),f332(f935(x46993,x46991))),x46995)))),f330(f330(f7(x46991,f935(f935(x46993,x46991),x46991),f935(f935(x46993,x46991),a923)),f330(f330(f8(f935(x46991,a923),f935(f935(f935(x46993,x46991),x46991),f935(f935(x46993,x46991),a923)),x46991),f8(x46991,a923,f935(x46993,x46991))),a327)),f330(f330(f7(f935(x46993,x46991),x46993,x46991),f5(f935(x46993,x46991))),x46996))))))) % 199.45/199.83 [4488]E(f330(f74(x44881,x44882,x44883,x44884),f76(x44883,x44881,x44885,x44886,x44887)),f76(x44883,x44882,f330(f74(x44881,x44882,x44883,x44884),x44885),x44886,f330(x44884,x44887))) % 199.45/199.83 [4622]E(f330(f259(x46221,x46222),f330(f261(x46223,x46221,x46224,x46222,x46225,x46226),x46227)),f330(x46226,f330(f259(x46223,x46224),x46227))) % 199.45/199.83 [4623]E(f330(f254(x46231,x46232),f330(f261(x46233,x46231,x46234,x46232,x46235,x46236),x46237)),f330(x46235,f330(f254(x46233,x46234),x46237))) % 199.45/199.83 [4336]E(f330(f330(f184(x43361,x43362),f330(f330(f162(x43361,x43363),x43364),x43365)),f330(f330(f162(x43362,x43366),x43364),x43367)),f330(f330(f162(f934(x43361,x43362),f330(f330(f184(x43361,x43362),x43363),x43366)),x43364),f330(f330(f255(x43361,x43362),x43365),x43367))) % 199.45/199.83 [4403]E(f330(f330(f330(f262(x44031,x44032,x44033,x44034),x44035),x44036),x44037),f330(f330(f260(x44032,x44033,x44034),x44036),f330(x44035,x44037))) % 199.45/199.83 [4413]E(f330(f330(f330(f262(x44131,x44132,x44133,x44134),x44135),x44136),x44137),f330(f330(x44136,f330(f254(x44132,x44133),f330(x44135,x44137))),f330(f259(x44132,x44133),f330(x44135,x44137)))) % 199.45/199.83 [4465]E(f330(f74(x44651,x44652,x44653,x44654),f330(f74(x44655,x44651,x44653,x44656),x44657)),f330(f74(x44655,x44652,x44653,f330(f74(x44651,x44652,x44655,x44654),x44656)),x44657)) % 199.45/199.83 [4643]E(f330(f261(x46431,x46432,x46433,x46433,x46434,f33(x46433)),f330(f261(x46431,x46431,x46435,x46433,f33(x46431),x46436),x46437)),f330(f330(f255(x46432,x46433),f330(x46434,f330(f254(x46431,x46435),x46437))),f330(x46436,f330(f259(x46431,x46435),x46437)))) % 199.45/199.83 [4644]E(f330(f261(x46441,x46441,x46442,x46443,f33(x46441),x46444),f330(f261(x46445,x46441,x46442,x46442,x46446,f33(x46442)),x46447)),f330(f330(f255(x46441,x46443),f330(x46446,f330(f254(x46445,x46442),x46447))),f330(x46444,f330(f259(x46445,x46442),x46447)))) % 199.45/199.83 [4660]E(f330(f261(x46601,x46602,x46603,x46603,x46604,f33(x46603)),f330(f261(x46605,x46601,x46603,x46603,x46606,f33(x46603)),x46607)),f330(f261(x46605,x46602,x46603,x46603,f330(f74(x46601,x46602,x46605,x46604),x46606),f33(x46603)),x46607)) % 199.45/199.83 [4661]E(f330(f261(x46611,x46611,x46612,x46613,f33(x46611),x46614),f330(f261(x46611,x46611,x46615,x46612,f33(x46611),x46616),x46617)),f330(f261(x46611,x46611,x46615,x46613,f33(x46611),f330(f74(x46612,x46613,x46615,x46614),x46616)),x46617)) % 199.45/199.83 [4671]E(f330(f261(x46711,x46712,x46713,x46713,x46714,f33(x46713)),f330(f261(x46711,x46711,x46715,x46713,f33(x46711),x46716),x46717)),f330(f261(x46712,x46712,x46715,x46713,f33(x46712),x46716),f330(f261(x46711,x46712,x46715,x46715,x46714,f33(x46715)),x46717))) % 199.45/199.83 [4370]E(f330(f330(f292(x43701,x43702,x43703),f330(f330(f292(x43701,x43704,x43702),x43705),x43706)),x43707),f330(f330(f292(x43701,x43704,x43703),x43705),f330(f330(f292(x43704,x43702,x43703),x43706),x43707))) % 199.45/199.83 [4437]E(f330(f330(f260(x44371,x44372,x44373),f330(f74(x44374,f935(x44372,x44373),x44371,x44375),x44376)),x44377),f330(f330(x44375,f330(x44376,f330(f254(x44371,x44372),x44377))),f330(f259(x44371,x44372),x44377))) % 199.45/199.83 [4519]E(f330(f145(x45191,x45192,f330(f7(x45192,x45191,x45191),x45193),x45194),f330(f171(x45192),f330(f330(f157(x45195,x45192),x45196),x45197))),f330(f145(x45191,x45195,f330(f7(x45195,x45191,x45191),f330(f74(x45192,f935(x45191,x45191),x45195,x45193),x45196)),x45194),f330(f171(x45195),x45197))) % 199.45/199.83 [4466]E(f330(f330(f40(x44661,f935(f934(x44662,x44663),a923)),x44664),f330(f330(f8(f935(f934(x44665,x44663),a923),f935(f934(x44662,x44663),a923),x44661),f330(f292(x44662,x44665,x44663),x44666)),x44667)),f330(f330(f292(x44662,x44665,x44663),x44666),f330(f330(f40(x44661,f935(f934(x44665,x44663),a923)),x44664),x44667))) % 199.45/199.83 [4610]E(f330(f330(f40(x46101,f935(f934(x46102,x46103),a923)),x46104),f330(f330(f7(x46101,f935(f934(x46105,x46103),a923),f935(f934(x46102,x46103),a923)),f330(f330(f8(f935(f934(x46102,x46105),a923),f935(f935(f934(x46105,x46103),a923),f935(f934(x46102,x46103),a923)),x46101),f292(x46102,x46105,x46103)),x46106)),x46107)),f330(f330(f292(x46102,x46105,x46103),f330(f330(f40(x46101,f935(f934(x46102,x46105),a923)),x46104),x46106)),x46107)) % 199.45/199.83 [4611]E(f330(f145(x46111,x46112,f330(f330(f7(x46111,f935(x46112,x46113),f935(x46112,x46111)),f330(f330(f8(f935(x46113,x46111),f935(f935(x46112,x46113),f935(x46112,x46111)),x46111),f8(x46113,x46111,x46112)),x46114)),x46115),x46116),x46117),f330(f145(x46111,x46113,x46114,x46116),f330(f330(f157(x46112,x46113),x46115),x46117))) % 199.45/199.83 [4672]E(f330(f330(f40(x46721,f935(x46722,a923)),x46723),f330(f330(f8(f935(x46724,f935(x46722,a923)),f935(x46722,a923),x46721),f330(f40(x46724,f935(x46722,a923)),x46725)),f330(f330(f7(x46721,f935(x46724,f935(x46722,a923)),f935(x46724,f935(x46722,a923))),f330(f330(f8(f935(f935(x46722,a923),f935(x46722,a923)),f935(f935(x46724,f935(x46722,a923)),f935(x46724,f935(x46722,a923))),x46721),f8(f935(x46722,a923),f935(x46722,a923),x46724)),f330(f330(f8(f935(x46722,a923),f935(f935(x46722,a923),f935(x46722,a923)),x46721),f104(f935(x46722,a923))),x46726))),x46727))),f330(f330(f104(f935(x46722,a923)),f330(f330(f40(x46721,f935(x46722,a923)),x46723),x46726)),f330(f330(f40(x46724,f935(x46722,a923)),x46725),x46727))) % 199.45/199.83 [4673]E(f330(f330(f41(x46731,f935(x46732,a923)),x46733),f330(f330(f8(f935(x46734,f935(x46732,a923)),f935(x46732,a923),x46731),f330(f41(x46734,f935(x46732,a923)),x46735)),f330(f330(f7(x46731,f935(x46734,f935(x46732,a923)),f935(x46734,f935(x46732,a923))),f330(f330(f8(f935(f935(x46732,a923),f935(x46732,a923)),f935(f935(x46734,f935(x46732,a923)),f935(x46734,f935(x46732,a923))),x46731),f8(f935(x46732,a923),f935(x46732,a923),x46734)),f330(f330(f8(f935(x46732,a923),f935(f935(x46732,a923),f935(x46732,a923)),x46731),f113(f935(x46732,a923))),x46736))),x46737))),f330(f330(f113(f935(x46732,a923)),f330(f330(f41(x46731,f935(x46732,a923)),x46733),x46736)),f330(f330(f41(x46734,f935(x46732,a923)),x46735),x46737))) % 199.45/199.83 [4665]E(f201(x46651,x46652,f330(f330(f330(x46653,x46654),x46655),x46656),f330(f330(f7(x46651,f934(a102,a102),f935(a102,f930(x46652))),f330(f330(f7(x46651,a102,f935(f934(a102,a102),f935(a102,f930(x46652)))),f330(f330(f7(x46651,a102,f935(a102,f935(f934(a102,a102),f935(a102,f930(x46652))))),x46657),x46654)),x46655)),x46656)),f330(f330(f330(f213(x46651,x46652,x46653,x46657),x46654),x46655),x46656)) % 199.45/199.83 [4679]E(f202(x46791,x46792,f330(f330(f330(x46793,x46794),x46795),x46796),f330(f330(f7(x46791,f934(a102,a102),f935(a102,f930(x46792))),f330(f330(f7(x46791,a102,f935(f934(a102,a102),f935(a102,f930(x46792)))),f330(f330(f7(x46791,a102,f935(a102,f935(f934(a102,a102),f935(a102,f930(x46792))))),x46797),x46794)),x46795)),x46796)),f215(x46791,x46792,x46793,x46797,x46794,x46795,x46796)) % 199.45/199.83 [4670]E(f198(x46701,x46702,f330(f330(f330(x46703,x46704),x46705),x46706),f330(f330(f7(x46701,f934(a102,a102),f935(a102,f930(f932(x46702)))),f330(f330(f7(x46701,a102,f935(f934(a102,a102),f935(a102,f930(f932(x46702))))),f330(f330(f7(x46701,a102,f935(a102,f935(f934(a102,a102),f935(a102,f930(f932(x46702)))))),x46707),x46704)),x46705)),x46706)),f330(f330(f330(f210(x46701,x46702,x46703,x46707),x46704),x46705),x46706)) % 199.45/199.83 [4681]E(f200(x46811,x46812,f330(f330(f330(x46813,x46814),x46815),x46816),f330(f330(f7(x46811,f934(a102,a102),f935(a102,f930(f932(x46812)))),f330(f330(f7(x46811,a102,f935(f934(a102,a102),f935(a102,f930(f932(x46812))))),f330(f330(f7(x46811,a102,f935(a102,f935(f934(a102,a102),f935(a102,f930(f932(x46812)))))),x46817),x46814)),x46815)),x46816)),f212(x46811,x46812,x46813,x46817,x46814,x46815,x46816)) % 199.45/199.83 [4580]E(f330(f261(x45801,x45802,x45803,x45804,x45805,x45806),f330(f330(f255(x45801,x45803),x45807),x45808)),f330(f330(f255(x45802,x45804),f330(x45805,x45807)),f330(x45806,x45808))) % 199.45/199.83 [4683]E(f330(f330(f157(f934(x46831,x46832),f934(x46833,x46834)),f330(f260(x46831,x46832,f934(x46833,x46834)),f330(f330(f7(x46831,f935(x46832,x46834),f935(x46832,f934(x46833,x46834))),f330(f330(f8(f935(x46834,f934(x46833,x46834)),f935(f935(x46832,x46834),f935(x46832,f934(x46833,x46834))),x46831),f8(x46834,f934(x46833,x46834),x46832)),f330(f330(f8(x46833,f935(x46834,f934(x46833,x46834)),x46831),f255(x46833,x46834)),x46835))),x46836))),f330(f330(f184(x46831,x46832),x46837),x46838)),f330(f330(f184(x46833,x46834),f330(f330(f157(x46831,x46833),x46835),x46837)),f330(f330(f157(x46832,x46834),x46836),x46838))) % 199.45/199.83 [4686]E(f330(f330(f157(f934(x46861,x46862),x46863),f330(f260(x46861,x46862,x46863),f330(f330(f8(f935(x46862,f934(x46861,x46864)),f935(x46862,x46863),x46861),f330(f8(f934(x46861,x46864),x46863,x46862),x46865)),f330(f330(f7(x46861,f935(x46862,x46864),f935(x46862,f934(x46861,x46864))),f330(f330(f8(f935(x46864,f934(x46861,x46864)),f935(f935(x46862,x46864),f935(x46862,f934(x46861,x46864))),x46861),f8(x46864,f934(x46861,x46864),x46862)),f255(x46861,x46864))),x46866)))),f330(f330(f184(x46861,x46862),x46867),x46868)),f330(f330(f157(f934(x46861,x46864),x46863),x46865),f330(f330(f184(x46861,x46864),x46867),f330(f330(f157(x46862,x46864),x46866),x46868)))) % 199.45/199.83 [4614]E(f330(f330(f157(f934(x46141,x46142),x46143),f330(f260(x46141,x46142,x46143),f330(f330(f8(f935(x46142,f934(x46144,x46142)),f935(x46142,x46143),x46141),f330(f8(f934(x46144,x46142),x46143,x46142),x46145)),f330(f330(f8(x46144,f935(x46142,f934(x46144,x46142)),x46141),f255(x46144,x46142)),x46146)))),f330(f330(f184(x46141,x46142),x46147),x46148)),f330(f330(f157(f934(x46144,x46142),x46143),x46145),f330(f330(f184(x46144,x46142),f330(f330(f157(x46141,x46144),x46146),x46147)),x46148))) % 199.45/199.83 [4571]E(f330(f330(f260(x45711,x45712,x45713),f330(f330(f8(f935(x45712,f934(x45714,x45715)),f935(x45712,x45713),x45711),f330(f8(f934(x45714,x45715),x45713,x45712),f330(f260(x45714,x45715,x45713),x45716))),x45717)),x45718),f330(f330(f260(x45714,x45715,x45713),x45716),f330(f330(f260(x45711,x45712,f934(x45714,x45715)),x45717),x45718))) % 199.45/199.83 [4687]E(f330(f330(f40(f934(x46871,x46872),f935(f934(x46873,x46874),a923)),f330(f330(f257(x46871,x46872),x46875),f330(f16(f935(x46872,a923),x46871),x46876))),f330(f260(x46871,x46872,f935(f934(x46873,x46874),a923)),f330(f330(f7(x46871,f935(x46872,f935(x46873,f935(x46874,a923))),f935(x46872,f935(f934(x46873,x46874),a923))),f330(f330(f8(f935(f935(x46873,f935(x46874,a923)),f935(f934(x46873,x46874),a923)),f935(f935(x46872,f935(x46873,f935(x46874,a923))),f935(x46872,f935(f934(x46873,x46874),a923))),x46871),f8(f935(x46873,f935(x46874,a923)),f935(f934(x46873,x46874),a923),x46872)),f330(f330(f8(f935(x46873,a923),f935(f935(x46873,f935(x46874,a923)),f935(f934(x46873,x46874),a923)),x46871),f257(x46873,x46874)),x46877))),f330(f330(f8(f935(x46874,a923),f935(x46873,f935(x46874,a923)),x46872),f16(f935(x46874,a923),x46873)),x46878)))),f330(f330(f257(x46873,x46874),f330(f330(f40(x46871,f935(x46873,a923)),x46875),x46877)),f330(f16(f935(x46874,a923),x46873),f330(f330(f40(x46872,f935(x46874,a923)),x46876),x46878)))) % 199.45/199.83 [4719]E(f32(x47191,x47192,x47193,x47194,x47195,x47196,x47197,x47198,x47199,a25),x47192) % 199.45/199.83 [4628]E(f330(f330(f262(x46281,x46282,x46283,x46284),f330(f330(f262(x46281,x46285,x46286,f934(x46282,x46283)),x46287),x46288)),x46289),f330(f330(f262(x46281,x46285,x46286,x46284),x46287),f330(f330(f7(x46285,f935(x46282,f935(x46283,x46284)),f935(x46286,x46284)),f330(f330(f8(f935(x46286,f934(x46282,x46283)),f935(f935(x46282,f935(x46283,x46284)),f935(x46286,x46284)),x46285),f262(x46286,x46282,x46283,x46284)),x46288)),x46289))) % 199.45/199.83 [4657]E(f330(f74(f934(x46571,x46572),f934(x46573,x46574),f934(x46575,x46576),f261(x46571,x46573,x46572,x46574,x46577,x46578)),f261(x46575,x46571,x46576,x46572,x46579,x465710)),f261(x46575,x46573,x46576,x46574,f330(f74(x46571,x46573,x46575,x46577),x46579),f330(f74(x46572,x46574,x46576,x46578),x465710))) % 199.45/199.83 [4720]E(f32(x47201,x47202,x47203,x47204,x47205,x47206,x47207,x47208,x47209,f30(x472010,x472011)),f330(f330(x47207,x472010),x472011)) % 199.45/199.83 [4721]E(f32(x47211,x47212,x47213,x47214,x47215,x47216,x47217,x47218,x47219,f31(x472110,x472111)),f330(f330(x47215,x472110),x472111)) % 199.45/199.83 [4722]E(f32(x47221,x47222,x47223,x47224,x47225,x47226,x47227,x47228,x47229,f26(x472210,x472211)),f330(f330(x47223,x472210),x472211)) % 199.45/199.83 [4663]E(f330(f261(x46631,x46632,x46633,x46634,x46635,x46636),f330(f261(x46637,x46631,x46638,x46633,x46639,x466310),x466311)),f330(f261(x46637,x46632,x46638,x46634,f330(f74(x46631,x46632,x46637,x46635),x46639),f330(f74(x46633,x46634,x46638,x46636),x466310)),x466311)) % 199.45/199.83 [4723]E(f32(x47231,x47232,x47233,x47234,x47235,x47236,x47237,x47238,x47239,f28(x472310,x472311,x472312)),f330(f330(f330(x47236,x472310),x472311),x472312)) % 199.45/199.83 [4724]E(f32(x47241,x47242,x47243,x47244,x47245,x47246,x47247,x47248,x47249,f27(x472410,x472411,x472412)),f330(f330(f330(x47244,x472410),x472411),x472412)) % 199.45/199.83 [4829]~P4(x48291)+P4(f932(x48291)) % 199.45/199.83 [4830]~P65(x48301)+P65(f932(x48301)) % 199.45/199.83 [4831]~P106(x48311)+P106(f929(x48311)) % 199.45/199.83 [4834]~P147(x48341)+~E(f80(x48341),f2(x48341)) % 199.45/199.83 [4836]~E(x48361,f2(a102))+E(f330(a22,x48361),f2(a1)) % 199.45/199.83 [4837]~E(x48371,f2(a1))+E(f84(a1,x48371),f2(a1)) % 199.45/199.83 [4843]~P148(x48431)+P29(x48431,f2(x48431)) % 199.45/199.83 [4845]~P110(x48451)+P13(x48451,f116(x48451)) % 199.45/199.83 [4854]P108(x48541)+P108(f330(a325,x48541)) % 199.45/199.83 [4908]~P148(x49081)+~P29(x49081,f80(x49081)) % 199.45/199.83 [4951]~P108(x49511)+~P108(f330(a325,x49511)) % 199.45/199.83 [4972]E(f330(a107,x49721),f2(a928))+~P108(f330(a196,x49721)) % 199.45/199.83 [5038]~P98(x50381)+P14(x50381,x50381,f83(x50381)) % 199.45/199.83 [5039]~P110(x50391)+P14(x50391,x50391,f236(x50391)) % 199.45/199.83 [5040]~P110(x50401)+P14(x50401,x50401,f237(x50401)) % 199.45/199.83 [5041]~P104(x50411)+P14(x50411,x50411,f104(x50411)) % 199.45/199.83 [5042]~P105(x50421)+P14(x50421,x50421,f113(x50421)) % 199.45/199.83 [5043]~P70(x50431)+P16(x50431,x50431,f83(x50431)) % 199.45/199.83 [4840]~E(x48401,f2(a928))+E(f330(f103(a1),x48401),f2(a1)) % 199.45/199.83 [4847]~P95(x48471)+E(f330(f106(x48471),a85),f2(x48471)) % 199.45/199.83 [4850]~E(f577(x48501),f2(a928))+E(f330(f168(a928),x48501),f2(a928)) % 199.45/199.83 [4851]~P111(x48511)+E(f240(x48511,f238(x48511)),f236(x48511)) % 199.45/199.83 [4852]~P111(x48521)+E(f241(x48521,f238(x48521)),f237(x48521)) % 199.45/199.83 [4853]~P91(x48531)+E(f84(x48531,f2(x48531)),f2(x48531)) % 199.45/199.83 [4862]~P148(x48621)+E(f330(f103(x48621),f80(a928)),f80(x48621)) % 199.45/199.83 [4863]~P148(x48631)+E(f330(f103(x48631),f2(a928)),f2(x48631)) % 199.45/199.83 [4864]~P145(x48641)+E(f330(f105(x48641),f80(a1)),f80(x48641)) % 199.45/199.83 [4865]~P145(x48651)+E(f330(f105(x48651),f2(a1)),f2(x48651)) % 199.45/199.83 [4866]E(x48661,f2(a928))+~E(f330(f103(a1),x48661),f2(a1)) % 199.45/199.83 [4902]~P121(x49021)+E(f330(f77(x49021),f80(x49021)),f80(x49021)) % 199.45/199.83 [4903]~P86(x49031)+E(f330(f77(x49031),f2(x49031)),f2(x49031)) % 199.45/199.83 [4904]~P97(x49041)+E(f330(f81(x49041),f191(x49041)),f245(x49041)) % 199.45/199.83 [4905]~P77(x49051)+E(f330(f81(x49051),f2(x49051)),f2(x49051)) % 199.45/199.83 [4906]~P97(x49061)+E(f330(f81(x49061),f245(x49061)),f191(x49061)) % 199.45/199.83 [4907]~P82(x49071)+E(f330(f168(x49071),f116(x49071)),f2(x49071)) % 199.45/199.83 [4925]~P38(x49251)+P42(f330(f175(a1),x49251)) % 199.45/199.83 [4956]~P95(x49561)+E(f330(f81(x49561),f80(x49561)),f330(f106(x49561),a100)) % 199.45/199.83 [4971]~P95(x49711)+P29(x49711,f330(f106(x49711),a85)) % 199.45/199.83 [4997]P38(x49971)+~P42(f330(f175(a1),x49971)) % 199.45/199.83 [5044]E(f330(f103(a1),f330(a107,x50441)),x50441)+P108(f330(a196,x50441)) % 199.45/199.83 [5114]~P117(x51141)+E(f248(x51141,f80(x51141),f83(x51141)),f247(x51141)) % 199.45/199.83 [5147]~P95(x51471)+~P29(x51471,f330(f106(x51471),a100)) % 199.45/199.83 [5294]E(f330(f77(a1),x52941),x52941)+P108(f330(f330(f239(a1),x52941),f2(a1))) % 199.45/199.83 [5312]~E(f330(a107,x53121),f2(a928))+P108(f330(f330(f238(a1),x53121),f2(a1))) % 199.45/199.83 [5377]~P108(f330(a196,x53771))+P108(f330(f330(f239(a1),x53771),f2(a1))) % 199.45/199.83 [5417]~P113(x54171)+P108(f330(f330(f238(x54171),f2(x54171)),f80(x54171))) % 199.45/199.83 [5418]~P145(x54181)+P108(f330(f330(f332(x54181),f80(x54181)),f112(x54181))) % 199.45/199.83 [5419]~P148(x54191)+P108(f330(f330(f332(x54191),f80(x54191)),f189(x54191))) % 199.45/199.83 [5420]~P145(x54201)+P108(f330(f330(f332(x54201),f2(x54201)),f112(x54201))) % 199.45/199.83 [5421]~P148(x54211)+P108(f330(f330(f332(x54211),f2(x54211)),f189(x54211))) % 199.45/199.83 [5422]~P113(x54221)+P108(f330(f330(f239(x54221),f2(x54221)),f80(x54221))) % 199.45/199.83 [5475]E(x54751,f2(a928))+~P108(f330(f330(f238(a928),x54751),f2(a928))) % 199.45/199.83 [5517]E(f330(a107,x55171),f2(a928))+~P108(f330(f330(f238(a1),x55171),f2(a1))) % 199.45/199.83 [5579]P108(f330(a196,x55791))+~P108(f330(f330(f239(a1),x55791),f2(a1))) % 199.45/199.83 [5586]~P110(x55861)+P16(x55861,f929(x55861),f151(x55861,x55861,f5(x55861))) % 199.45/199.83 [5604]P42(x56041)+~P108(f330(f330(f238(a1),f2(a1)),f337(x56041))) % 199.45/199.83 [5609]E(f330(f77(a1),x56091),f330(f81(a1),x56091))+~P108(f330(f330(f239(a1),x56091),f2(a1))) % 199.45/199.83 [5780]~P113(x57801)+~P108(f330(f330(f238(x57801),f80(x57801)),f2(x57801))) % 199.45/199.83 [5781]~P113(x57811)+~P108(f330(f330(f239(x57811),f80(x57811)),f2(x57811))) % 199.45/199.83 [5795]~E(x57951,f2(a928))+P108(f330(f330(f238(a1),f330(f103(a1),x57951)),f2(a1))) % 199.45/199.83 [5796]~E(x57961,f2(a1))+P108(f330(f330(f239(a1),f330(f77(a1),x57961)),f80(a1))) % 199.45/199.83 [5918]~P82(x59181)+E(f145(x59181,x59181,f82(x59181),f2(x59181)),f168(x59181)) % 199.45/199.83 [6092]~P96(x60921)+P25(a928,x60921,f103(x60921),f245(f935(a928,a923))) % 199.45/199.83 [6296]E(x62961,f2(a928))+~P108(f330(f330(f238(a1),f330(f103(a1),x62961)),f2(a1))) % 199.45/199.83 [6297]E(x62971,f2(a1))+~P108(f330(f330(f239(a1),f330(f77(a1),x62971)),f80(a1))) % 199.45/199.83 [7097]~P108(f330(f330(f239(a1),x70971),f2(a1)))+P108(f330(f330(f239(a1),f330(f330(f82(a1),x70971),x70971)),f2(a1))) % 199.45/199.83 [7651]P108(f330(f330(f239(a1),x76511),f2(a1)))+~P108(f330(f330(f239(a1),f330(f330(f82(a1),x76511),x76511)),f2(a1))) % 199.45/199.83 [8198]E(x81981,f330(a3,f2(a928)))+P108(f330(f330(f239(a928),f330(f330(f23(a928),f330(a20,x81981)),f330(a115,f2(a928)))),f330(a20,x81981))) % 199.45/199.83 [8960]~P108(f330(f330(f239(a1),x89601),f2(a1)))+P108(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x89601),x89601)),a100)),f2(a1))) % 199.45/199.83 [9057]~P108(f330(f330(f239(a1),x90571),f2(a1)))+P108(f330(f330(f239(a1),f330(f330(f82(a1),f330(f330(f82(a1),f80(a1)),x90571)),x90571)),f2(a1))) % 199.45/199.83 [9381]P108(f330(f330(f239(a1),x93811),f2(a1)))+~P108(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x93811),x93811)),a100)),f2(a1))) % 199.45/199.83 [9442]P108(f330(f330(f239(a1),x94421),f2(a1)))+~P108(f330(f330(f239(a1),f330(f330(f82(a1),f330(f330(f82(a1),f80(a1)),x94421)),x94421)),f2(a1))) % 199.45/199.83 [4945]~E(a85,x49451)+E(f330(f330(f82(a1),x49451),x49451),a85) % 199.45/199.83 [4946]~E(x49461,a85)+E(f330(f330(f82(a1),x49461),x49461),a85) % 199.45/199.83 [4957]E(x49571,f2(a1))+E(f330(f330(f37(a1),x49571),x49571),f80(a1)) % 199.45/199.83 [5091]E(x50911,a85)+~E(f330(f330(f82(a1),x50911),x50911),a85) % 199.45/199.83 [5092]E(a85,x50921)+~E(f330(f330(f82(a1),x50921),x50921),a85) % 199.45/199.83 [5104]~P5(x51041)+E(f39(x51041,f191(f935(x51041,a923))),f245(x51041)) % 199.45/199.83 [5105]~P5(x51051)+E(f39(x51051,f245(f935(x51051,a923))),f191(x51051)) % 199.45/199.83 [5106]~P5(x51061)+E(f38(x51061,f191(f935(x51061,a923))),f191(x51061)) % 199.45/199.83 [5107]~P5(x51071)+E(f38(x51071,f245(f935(x51071,a923))),f245(x51071)) % 199.45/199.83 [5108]~P110(x51081)+E(f142(x51081,f191(f935(x51081,a923))),f116(x51081)) % 199.45/199.83 [5250]E(x52501,f2(a928))+P108(f330(f330(f239(a928),f2(a928)),x52501)) % 199.45/199.83 [5269]~P6(x52691)+P108(f330(f330(f238(a1),f2(a1)),x52691)) % 199.45/199.83 [5303]~E(f330(f106(a928),x53031),f2(a928))+P108(f330(f330(f238(a1),x53031),a85)) % 199.45/199.83 [5308]P42(x53081)+P108(f330(f330(f332(a1),f337(x53081)),x53081)) % 199.45/199.83 [5309]E(x53091,f330(a3,f2(a928)))+P108(f330(f330(f238(a102),f80(a102)),x53091)) % 199.45/199.83 [5350]P108(f330(a196,x53501))+P108(f330(f330(f238(a1),f2(a1)),x53501)) % 199.45/199.83 [5399]E(f330(f103(a1),f330(a107,x53991)),f2(a1))+P108(f330(f330(f238(a1),f2(a1)),x53991)) % 199.45/199.83 [5456]E(f330(f103(a1),f330(f106(a928),x54561)),f330(f106(a1),x54561))+P108(f330(a196,f330(f106(a1),x54561))) % 199.45/199.83 [5481]E(f330(f106(a928),x54811),f2(a928))+~P108(f330(a196,f330(f106(a1),x54811))) % 199.45/199.83 [5482]E(f330(f106(a928),x54821),f2(a928))+~P108(f330(f330(f238(a1),x54821),a85)) % 199.45/199.83 [5514]P6(x55141)+~P108(f330(f330(f238(a1),f2(a1)),x55141)) % 199.45/199.83 [5589]E(f330(a115,f830(x55891)),x55891)+~P108(f330(f330(f239(a928),f2(a928)),x55891)) % 199.45/199.83 [5598]E(f330(a115,f330(f106(a928),x55981)),f80(a928))+~P108(f330(a196,f330(f106(a1),x55981))) % 199.45/199.83 [5605]E(f330(f103(a1),f910(x56051)),x56051)+~P108(f330(f330(f239(a1),f2(a1)),x56051)) % 199.45/199.83 [5612]~E(x56121,f330(a3,f2(a928)))+~P108(f330(f330(f238(a102),f80(a102)),x56121)) % 199.45/199.83 [5619]E(f330(f103(a1),f330(f106(a928),x56191)),f2(a1))+~P108(f330(a196,f330(f106(a1),x56191))) % 199.45/199.83 [5645]E(f330(f168(a928),x56451),f2(a928))+P108(f330(f330(f332(a928),f577(x56451)),f330(f175(a928),x56451))) % 199.45/199.83 [5665]E(f330(f103(a1),f330(a107,x56651)),x56651)+~P108(f330(f330(f238(a1),f2(a1)),x56651)) % 199.45/199.83 [5673]~P108(f330(a196,x56731))+~P108(f330(f330(f238(a1),f2(a1)),x56731)) % 199.45/199.83 [5773]E(f330(f330(f82(a928),f80(a928)),f330(f106(a928),x57731)),f80(a928))+~P108(f330(f330(f239(a1),x57731),a85)) % 199.45/199.83 [5838]E(x58381,f2(a928))+~P108(f330(f330(f239(a928),x58381),f330(a115,f2(a928)))) % 199.45/199.83 [5877]E(f330(f330(f23(a928),f330(f106(a928),x58771)),f80(a928)),f2(a928))+~P108(f330(f330(f238(a1),x58771),a85)) % 199.45/199.83 [5878]E(f330(f330(f82(a928),f330(f106(a928),x58781)),f80(a928)),f80(a928))+~P108(f330(f330(f239(a1),x58781),a85)) % 199.45/199.83 [5890]~P42(x58901)+E(f330(f36(a928),f330(f313(a1,a928,a107),x58901)),f330(f36(a1),x58901)) % 199.45/199.83 [5919]~P110(x59191)+E(f241(x59191,f330(f7(x59191,x59191,a923),f238(x59191))),f236(x59191)) % 199.45/199.83 [5920]~P110(x59201)+E(f240(x59201,f330(f7(x59201,x59201,a923),f238(x59201))),f237(x59201)) % 199.45/199.83 [5930]E(f46(a928,f330(a115,f2(a928)),f330(f106(a928),x59301)),f330(a115,f2(a928)))+~P108(f330(a196,f330(f106(a1),x59301))) % 199.45/199.83 [5939]~P108(f330(f330(f239(a1),f2(a1)),x59391))+P108(f330(f330(f238(a1),f80(a1)),x59391)) % 199.45/199.83 [5940]P108(f330(f330(f239(a1),f2(a1)),x59401))+~P108(f330(f330(f238(a1),f80(a1)),x59401)) % 199.45/199.83 [5951]E(f330(a115,f330(f330(f23(a928),x59511),f80(a928))),x59511)+~P108(f330(f330(f239(a928),f2(a928)),x59511)) % 199.45/199.83 [6007]P108(f330(f330(f239(a928),f2(a928)),f910(x60071)))+~P108(f330(f330(f239(a1),f2(a1)),x60071)) % 199.45/199.83 [6068]E(f46(a1,f330(f106(a1),a100),x60681),f330(f330(f23(a1),x60681),f80(a1)))+~P108(f330(f330(f239(a1),f2(a1)),x60681)) % 199.45/199.83 [6105]~P108(f330(f330(f239(a1),a85),x61051))+P108(f330(f330(f239(a928),f2(a928)),f330(f106(a928),x61051))) % 199.45/199.83 [6110]E(f330(a20,f819(x61101)),x61101)+~P108(f330(f330(f332(a928),x61101),f245(f935(a928,a923)))) % 199.45/199.83 [6163]P108(f330(f330(f239(a928),f2(a928)),f330(a107,x61631)))+~P108(f330(f330(f239(a1),f2(a1)),x61631)) % 199.45/199.83 [6213]~P108(f330(f330(f239(a928),f2(a928)),x62131))+P108(f330(f330(f239(a1),f2(a1)),f330(f103(a1),x62131))) % 199.45/199.83 [6249]~P108(f330(f330(f239(a928),f2(a928)),f330(a107,x62491)))+P108(f330(f330(f239(a1),f2(a1)),x62491)) % 199.45/199.83 [6264]~P42(x62641)+E(f330(f313(a928,a1,f103(a1)),f330(f313(a1,a928,a107),x62641)),x62641) % 199.45/199.83 [6277]P108(f330(f330(f239(a1),a85),x62771))+~P108(f330(f330(f239(a928),f2(a928)),f330(f106(a928),x62771))) % 199.45/199.83 [6335]P108(f330(f330(f239(a928),f2(a928)),x63351))+~P108(f330(f330(f239(a1),f2(a1)),f330(f103(a1),x63351))) % 199.45/199.83 [6449]E(f330(f313(a928,a1,f103(a1)),f330(f285(a928),f330(a107,x64491))),f330(f305(a1,f2(a1)),x64491))+~P108(f330(f330(f238(a1),f2(a1)),x64491)) % 199.45/199.83 [6466]~P113(x64661)+P108(f330(f330(f239(x64661),f2(x64661)),f330(f330(f82(x64661),f80(x64661)),f80(x64661)))) % 199.45/199.83 [6515]P108(f330(f330(f239(a928),f330(a115,f2(a928))),f330(a107,x65151)))+~P108(f330(f330(f239(a1),f80(a1)),x65151)) % 199.45/199.83 [6614]E(x66141,f2(a1))+P108(f330(f50(f2(a1),x66141),f330(f330(f255(a1,a1),f2(a1)),f2(a1)))) % 199.45/199.83 [6785]~P108(f330(f330(f239(a928),f330(a115,f2(a928))),f330(a107,x67851)))+P108(f330(f330(f239(a1),f80(a1)),x67851)) % 199.45/199.83 [7210]~P119(x72101)+P39(x72101,f330(f265(f934(x72101,x72101)),f330(f260(x72101,x72101,a923),f239(x72101)))) % 199.45/199.83 [5825]E(f330(f106(a928),f330(f330(f23(a1),x58251),a100)),f330(a115,f330(f106(a928),x58251)))+P108(f330(a196,f330(f106(a1),x58251))) % 199.45/199.83 [5841]~P38(x58411)+E(f330(f330(f157(a928,a1),f103(a1)),f330(f330(f157(a1,a928),a107),x58411)),x58411) % 199.45/199.83 [5957]E(f330(f81(a1),f330(f103(a1),f330(a115,f424(x59571)))),x59571)+~P108(f330(f330(f239(a1),x59571),f2(a1))) % 199.45/199.83 [5967]E(f330(f330(f82(a928),f80(a928)),f330(f106(a928),x59671)),f330(f106(a928),f330(f330(f23(a1),x59671),a100)))+P108(f330(f330(f239(a1),x59671),a85)) % 199.45/199.83 [6009]E(f330(f330(f37(a1),f330(f106(a1),a100)),x60091),f330(f106(a1),a100))+~P108(f330(f330(f239(a1),f2(a1)),x60091)) % 199.45/199.83 [6101]E(f330(f330(f23(a928),f330(f106(a928),x61011)),f80(a928)),f330(f106(a928),f330(f330(f82(a1),x61011),a100)))+P108(f330(f330(f238(a1),x61011),a85)) % 199.45/199.83 [6102]E(f330(f330(f82(a928),f330(f106(a928),x61021)),f80(a928)),f330(f106(a928),f330(f330(f23(a1),x61021),a100)))+P108(f330(f330(f239(a1),x61021),a85)) % 199.45/199.83 [6148]E(f330(a107,f330(f330(f82(a1),f80(a1)),x61481)),f330(a115,f330(a107,x61481)))+~P108(f330(f330(f238(a1),f2(a1)),x61481)) % 199.45/199.83 [6184]E(f330(a115,f330(f330(f23(a928),x61841),f330(a115,f2(a928)))),x61841)+~P108(f330(f330(f239(a928),f2(a928)),x61841)) % 199.45/199.83 [6400]E(f46(a928,f330(a115,f2(a928)),f330(f106(a928),x64001)),f330(a107,f46(a1,f80(a1),f330(f106(a1),x64001))))+P108(f330(a196,f330(f106(a1),x64001))) % 199.45/199.83 [6442]~P108(f330(f330(f238(a1),a85),x64421))+P108(f330(f330(f238(a1),a85),f330(f330(f82(a1),x64421),x64421))) % 199.45/199.83 [6443]~P108(f330(f330(f239(a1),a100),x64431))+P108(f330(f330(f238(a1),a100),f330(f330(f82(a1),x64431),x64431))) % 199.45/199.83 [6444]~P108(f330(f330(f239(a1),a85),x64441))+P108(f330(f330(f239(a1),a85),f330(f330(f82(a1),x64441),x64441))) % 199.45/199.83 [6445]~P108(f330(f330(f239(a1),a100),x64451))+P108(f330(f330(f239(a1),a100),f330(f330(f82(a1),x64451),x64451))) % 199.45/199.83 [6627]~P108(f330(f62(x66271),f245(f935(x66271,a923))))+P108(f330(f62(f932(x66271)),f245(f935(f932(x66271),a923)))) % 199.45/199.83 [6715]~P108(f330(f330(f238(a1),f2(a1)),x67151))+P108(f330(f330(f239(a1),f2(a1)),f330(f330(f82(a1),f80(a1)),x67151))) % 199.45/199.83 [6722]E(f330(f254(a1,a1),f48(f80(a1),f330(f106(a1),x67221))),f330(f330(f37(a1),f80(a1)),f330(f106(a1),x67221)))+~P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),x67221))) % 199.45/199.83 [6744]E(f330(f259(a1,a1),f48(f80(a1),f330(f106(a1),x67441))),f46(a1,f80(a1),f330(f106(a1),x67441)))+~P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),x67441))) % 199.45/199.83 [6756]P108(f330(f62(x67561),f245(f935(x67561,a923))))+~P108(f330(f62(f932(x67561)),f245(f935(f932(x67561),a923)))) % 199.45/199.83 [6786]P108(f330(f330(f238(a1),a85),x67861))+~P108(f330(f330(f238(a1),a85),f330(f330(f82(a1),x67861),x67861))) % 199.45/199.83 [6787]P108(f330(f330(f239(a1),a85),x67871))+~P108(f330(f330(f239(a1),a85),f330(f330(f82(a1),x67871),x67871))) % 199.45/199.83 [6788]P108(f330(f330(f239(a1),a100),x67881))+~P108(f330(f330(f238(a1),a100),f330(f330(f82(a1),x67881),x67881))) % 199.45/199.83 [6789]P108(f330(f330(f239(a1),a100),x67891))+~P108(f330(f330(f239(a1),a100),f330(f330(f82(a1),x67891),x67891))) % 199.45/199.83 [7101]~P108(f330(f62(x71011),f245(f935(x71011,a923))))+P108(f330(f330(f239(a928),f2(a928)),f330(f36(x71011),f245(f935(x71011,a923))))) % 199.45/199.83 [7690]P108(f330(f62(a928),x76901))+~P108(f330(f62(a1),f330(f313(a928,a1,f103(a1)),x76901))) % 199.45/199.83 [5748]~E(a100,x57481)+E(f330(f330(f23(a1),f330(f330(f82(a1),x57481),x57481)),a100),a100) % 199.45/199.83 [5749]~E(x57491,a100)+E(f330(f330(f23(a1),f330(f330(f82(a1),x57491),x57491)),a100),a100) % 199.45/199.83 [6272]E(x62721,a100)+~E(f330(f330(f23(a1),f330(f330(f82(a1),x62721),x62721)),a100),a100) % 199.45/199.83 [6273]E(a100,x62731)+~E(f330(f330(f23(a1),f330(f330(f82(a1),x62731),x62731)),a100),a100) % 199.45/199.83 [6682]~E(f330(f106(a928),x66821),f2(a928))+P108(f330(a196,f330(f106(a1),f330(f330(f82(a1),x66821),a100)))) % 199.45/199.83 [7031]~P108(f330(a196,f330(f106(a1),x70311)))+P108(f330(a196,f330(f106(a1),f330(f330(f82(a1),x70311),x70311)))) % 199.45/199.83 [7032]~P108(f330(f330(f238(a1),x70321),a85))+P108(f330(f330(f238(a1),f330(f330(f82(a1),x70321),x70321)),a85)) % 199.45/199.83 [7033]~P108(f330(f330(f238(a1),x70331),a100))+P108(f330(f330(f238(a1),f330(f330(f82(a1),x70331),x70331)),a100)) % 199.45/199.83 [7034]~P108(f330(f330(f239(a1),x70341),a85))+P108(f330(f330(f239(a1),f330(f330(f82(a1),x70341),x70341)),a85)) % 199.45/199.83 [7035]~P108(f330(f330(f238(a1),x70351),a100))+P108(f330(f330(f239(a1),f330(f330(f82(a1),x70351),x70351)),a100)) % 199.45/199.83 [7356]E(f330(f106(a928),x73561),f2(a928))+~P108(f330(a196,f330(f106(a1),f330(f330(f82(a1),x73561),a100)))) % 199.45/199.83 [7607]~P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),x76071)))+P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),f330(f330(f82(a1),x76071),x76071)))) % 199.45/199.83 [7608]P108(f330(a196,f330(f106(a1),x76081)))+~P108(f330(a196,f330(f106(a1),f330(f330(f82(a1),x76081),x76081)))) % 199.45/199.83 [7609]P108(f330(f330(f238(a1),x76091),a85))+~P108(f330(f330(f238(a1),f330(f330(f82(a1),x76091),x76091)),a85)) % 199.45/199.83 [7610]P108(f330(f330(f238(a1),x76101),a100))+~P108(f330(f330(f238(a1),f330(f330(f82(a1),x76101),x76101)),a100)) % 199.45/199.83 [7611]P108(f330(f330(f238(a1),x76111),a100))+~P108(f330(f330(f239(a1),f330(f330(f82(a1),x76111),x76111)),a100)) % 199.45/199.83 [7612]P108(f330(f330(f239(a1),x76121),a85))+~P108(f330(f330(f239(a1),f330(f330(f82(a1),x76121),x76121)),a85)) % 199.45/199.83 [7969]E(f330(a109,f549(x79691)),x79691)+~P108(f330(f330(f332(f935(f934(a928,a928),a923)),x79691),a101)) % 199.45/199.83 [6601]~P95(x66011)+E(f330(f106(x66011),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f80(x66011)) % 199.45/199.83 [7081]~P108(f330(a196,f330(f106(a1),x70811)))+E(f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),x70811),x70811)),a100)),f2(a928)) % 199.45/199.83 [8143]~P108(f330(f330(f239(a1),f330(f106(a1),x81431)),f2(a1)))+E(f330(f254(a1,a1),f330(a52,f51(f330(f81(a1),f80(a1)),f330(f81(a1),f330(f106(a1),x81431))))),f330(f330(f37(a1),f80(a1)),f330(f106(a1),x81431))) % 199.45/199.83 [8156]~P108(f330(f330(f239(a1),f330(f106(a1),x81561)),f2(a1)))+E(f330(f259(a1,a1),f330(a52,f51(f330(f81(a1),f80(a1)),f330(f81(a1),f330(f106(a1),x81561))))),f46(a1,f80(a1),f330(f106(a1),x81561))) % 199.45/199.83 [8205]~P108(f330(f330(f238(a1),a85),x82051))+P108(f330(f330(f238(a1),a85),f330(f330(f23(a1),f330(f330(f82(a1),x82051),x82051)),a100))) % 199.45/199.83 [8206]~P108(f330(f330(f238(a1),a100),x82061))+P108(f330(f330(f238(a1),a100),f330(f330(f23(a1),f330(f330(f82(a1),x82061),x82061)),a100))) % 199.45/199.83 [8207]~P108(f330(f330(f238(a1),a85),x82071))+P108(f330(f330(f239(a1),a85),f330(f330(f23(a1),f330(f330(f82(a1),x82071),x82071)),a100))) % 199.45/199.83 [8208]~P108(f330(f330(f239(a1),a100),x82081))+P108(f330(f330(f239(a1),a100),f330(f330(f23(a1),f330(f330(f82(a1),x82081),x82081)),a100))) % 199.45/199.83 [8503]~P95(x85031)+~P29(x85031,f330(f106(x85031),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))) % 199.45/199.83 [8686]P108(f330(f330(f238(a1),a85),x86861))+~P108(f330(f330(f238(a1),a85),f330(f330(f23(a1),f330(f330(f82(a1),x86861),x86861)),a100))) % 199.45/199.83 [8687]P108(f330(f330(f238(a1),a85),x86871))+~P108(f330(f330(f239(a1),a85),f330(f330(f23(a1),f330(f330(f82(a1),x86871),x86871)),a100))) % 199.45/199.83 [8688]P108(f330(f330(f238(a1),a100),x86881))+~P108(f330(f330(f238(a1),a100),f330(f330(f23(a1),f330(f330(f82(a1),x86881),x86881)),a100))) % 199.45/199.83 [8689]P108(f330(f330(f239(a1),a100),x86891))+~P108(f330(f330(f239(a1),a100),f330(f330(f23(a1),f330(f330(f82(a1),x86891),x86891)),a100))) % 199.45/199.83 [9007]E(f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),x90071),x90071)),a100)),f330(f330(f88(a928,a928),f330(f106(a928),x90071)),f330(f330(f8(a928,a928,a928),a115),f330(f330(f18(a928,a928,a928),f82(a928)),f5(a928)))))+P108(f330(a196,f330(f106(a1),x90071))) % 199.45/199.83 [9866]E(x98661,f191(f935(f934(a928,a928),a923)))+P108(f330(f330(f332(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),f330(f330(f255(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),x98661),f191(f935(f934(a928,a928),a923)))),a70)) % 199.45/199.83 [8934]~P108(f330(a196,f330(f106(a1),x89341)))+P108(f330(a196,f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),x89341),x89341)),a100)))) % 199.45/199.83 [8935]~P108(f330(f330(f239(a1),x89351),a85))+P108(f330(f330(f238(a1),f330(f330(f23(a1),f330(f330(f82(a1),x89351),x89351)),a100)),a85)) % 199.45/199.83 [8936]~P108(f330(f330(f238(a1),x89361),a100))+P108(f330(f330(f238(a1),f330(f330(f23(a1),f330(f330(f82(a1),x89361),x89361)),a100)),a100)) % 199.45/199.83 [8937]~P108(f330(f330(f239(a1),x89371),a85))+P108(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x89371),x89371)),a100)),a85)) % 199.45/199.83 [8938]~P108(f330(f330(f239(a1),x89381),a100))+P108(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x89381),x89381)),a100)),a100)) % 199.45/199.83 [9048]~P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),x90481)))+P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),x90481),x90481)),a100)))) % 199.45/199.83 [9211]~P95(x92111)+E(f330(f330(f82(x92111),f80(x92111)),f80(x92111)),f330(f106(x92111),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))) % 199.45/199.83 [9365]P108(f330(a196,f330(f106(a1),x93651)))+~P108(f330(a196,f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),x93651),x93651)),a100)))) % 199.45/199.83 [9366]P108(f330(f330(f238(a1),x93661),a100))+~P108(f330(f330(f238(a1),f330(f330(f23(a1),f330(f330(f82(a1),x93661),x93661)),a100)),a100)) % 199.45/199.83 [9367]P108(f330(f330(f239(a1),x93671),a85))+~P108(f330(f330(f238(a1),f330(f330(f23(a1),f330(f330(f82(a1),x93671),x93671)),a100)),a85)) % 199.45/199.83 [9368]P108(f330(f330(f239(a1),x93681),a85))+~P108(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x93681),x93681)),a100)),a85)) % 199.45/199.83 [9369]P108(f330(f330(f239(a1),x93691),a100))+~P108(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x93691),x93691)),a100)),a100)) % 199.45/199.83 [9911]~P108(f330(f62(f934(a928,a928)),x99111))+P108(f330(f330(f332(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),f330(f330(f255(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),f191(f935(f934(a928,a928),a923))),x99111)),a71)) % 199.45/199.83 [9695]~P148(x96951)+E(f330(f330(f247(x96951),f80(x96951)),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f80(x96951)) % 199.45/199.83 [9696]~P148(x96961)+E(f330(f330(f247(x96961),f2(x96961)),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f2(x96961)) % 199.45/199.83 [10136]~P108(f330(f330(f239(a928),f80(a928)),x101361))+P108(f330(f330(f239(a928),f2(a928)),f330(f330(f37(a928),x101361),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 199.45/199.83 [10142]~P108(f330(f330(f239(a928),f2(a928)),x101421))+P108(f330(f330(f239(a928),f2(a928)),f330(f330(f37(a928),f330(f330(f82(a928),x101421),f80(a928))),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 199.45/199.83 [10181]~E(f46(a928,x101811,f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f80(a928))+P108(f330(f330(f239(a928),f2(a928)),f46(a928,x101811,f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 199.45/199.83 [10203]E(f46(a928,x102031,f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f80(a928))+~P108(f330(f330(f239(a928),f2(a928)),f46(a928,x102031,f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 199.45/199.83 [4871]~P7(x48711,x48712)+P45(x48711,x48712) % 199.45/199.83 [4872]~P39(x48721,x48722)+P60(x48721,x48722) % 199.45/199.83 [4873]~P46(x48731,x48732)+P60(x48731,x48732) % 199.45/199.83 [4875]~P7(x48751,x48752)+P52(x48751,x48752) % 199.45/199.83 [4877]~P15(x48771,x48772)+P52(x48771,x48772) % 199.45/199.83 [4879]~P7(x48791,x48792)+P53(x48791,x48792) % 199.45/199.83 [4881]~P15(x48811,x48812)+P53(x48811,x48812) % 199.45/199.83 [4882]~P7(x48821,x48822)+P15(x48821,x48822) % 199.45/199.83 [4832]~E(x48321,x48322)+E(f272(x48321,x48322),f80(a102)) % 199.45/199.83 [4835]E(f220(x48351,x48352),x48351)+~E(x48352,f2(a928)) % 199.45/199.83 [4842]~E(x48422,f116(x48421))+E(f155(x48421,x48422),f116(x48421)) % 199.45/199.83 [4861]~E(f155(x48612,x48611),f116(x48612))+E(x48611,f116(x48612)) % 199.45/199.83 [4886]~P1(x48862)+P1(f935(x48861,x48862)) % 199.45/199.83 [4887]~P109(x48872)+P109(f935(x48871,x48872)) % 199.45/199.83 [4888]~P111(x48882)+P111(f935(x48881,x48882)) % 199.45/199.83 [4889]~P112(x48892)+P112(f935(x48891,x48892)) % 199.45/199.83 [4890]~P2(x48902)+P2(f935(x48901,x48902)) % 199.45/199.83 [4891]~P5(x48912)+P5(f935(x48911,x48912)) % 199.45/199.83 [4892]~P97(x48922)+P97(f935(x48921,x48922)) % 199.45/199.83 [4893]~P90(x48932)+P90(f935(x48931,x48932)) % 199.45/199.83 [4894]~P99(x48942)+P99(f935(x48941,x48942)) % 199.45/199.83 [4895]~P99(x48952)+P104(f935(x48951,x48952)) % 199.45/199.83 [4896]~P101(x48962)+P100(f935(x48961,x48962)) % 199.45/199.83 [4897]~P102(x48972)+P102(f935(x48971,x48972)) % 199.45/199.83 [4898]~P99(x48982)+P105(f935(x48981,x48982)) % 199.45/199.83 [4899]~P118(x48992)+P118(f935(x48991,x48992)) % 199.45/199.83 [4900]~P101(x49002)+P103(f935(x49001,x49002)) % 199.45/199.83 [4901]~P101(x49012)+P101(f935(x49011,x49012)) % 199.45/199.83 [4914]E(x49141,x49142)+~E(f330(a115,x49141),f330(a115,x49142)) % 199.45/199.83 [4915]E(x49151,x49152)+~E(f330(a109,x49151),f330(a109,x49152)) % 199.45/199.83 [4916]E(x49161,x49162)+~E(f330(a3,x49161),f330(a3,x49162)) % 199.45/199.83 [4918]E(x49181,x49182)+~E(f330(a20,x49181),f330(a20,x49182)) % 199.45/199.83 [4973]P41(x49731,x49732)+~E(f716(x49732,x49731),f717(x49732,x49731)) % 199.45/199.83 [5003]~P60(x50031,x50032)+P41(x50031,f310(x50031,x50032)) % 199.45/199.83 [5004]~P54(x50041,x50042)+P54(x50041,f310(x50041,x50042)) % 199.45/199.83 [5017]~P63(x50171)+E(f46(x50171,x50172,x50172),f2(x50171)) % 199.45/199.83 [5051]~P39(x50511,x50512)+P39(f929(x50511),f149(x50511,x50512)) % 199.45/199.83 [5052]~P39(x50521,x50522)+P39(f929(x50521),f148(x50521,x50522)) % 199.45/199.83 [5053]~P40(x50531,x50532)+P40(f929(x50531),f150(x50531,x50532)) % 199.45/199.83 [5054]~P40(x50541,x50542)+P40(f929(x50541),f161(x50541,x50542)) % 199.45/199.83 [5055]~P54(x50551,x50552)+P54(f929(x50551),f161(x50551,x50552)) % 199.45/199.83 [5152]~P39(x51521,x51522)+P39(f935(x51521,a923),f323(x51521,x51522)) % 199.45/199.83 [5153]~P39(x51531,x51532)+P39(f935(x51531,a923),f321(x51531,x51532)) % 199.45/199.83 [5278]~P6(x52781)+P42(f306(a1,x52781,x52782)) % 199.45/199.83 [5380]~P39(x53801,x53802)+P62(x53801,f68(x53801,x53801,x53802)) % 199.45/199.83 [5884]~P80(x58841)+P25(x58841,x58841,f81(x58841),x58842) % 199.45/199.83 [4856]~E(x48562,f116(x48561))+E(f330(f170(x48561),x48562),f116(x48561)) % 199.45/199.83 [4857]~E(x48572,f116(x48571))+E(f330(f171(x48571),x48572),f116(x48571)) % 199.45/199.83 [4920]E(x49201,f330(a107,x49202))+~E(f330(f103(a1),x49201),x49202) % 199.45/199.83 [4923]E(x49231,f116(x49232))+~E(f330(f170(x49232),x49231),f116(x49232)) % 199.45/199.83 [4924]E(x49241,f116(x49242))+~E(f330(f171(x49242),x49241),f116(x49242)) % 199.45/199.83 [4942]~P95(x49421)+E(f330(f106(x49421),x49422),f330(f105(x49421),x49422)) % 199.45/199.83 [4950]~P4(x49501)+P108(f330(f62(x49501),x49502)) % 199.45/199.83 [4958]~E(f676(x49582,x49581),f116(x49581))+E(f182(x49581,x49582),f116(f929(x49581))) % 199.45/199.83 [4967]~E(x49672,f116(x49671))+E(f330(f175(x49671),x49672),f191(f935(x49671,a923))) % 199.45/199.83 [4968]~E(x49682,f116(x49681))+E(f191(f935(x49681,a923)),f330(f175(x49681),x49682)) % 199.45/199.83 [4970]E(x49701,x49702)+~E(f330(f103(a1),x49701),f330(f103(a1),x49702)) % 199.45/199.84 [4974]E(f218(x49741,x49742),f2(a928))+P108(f330(f62(x49741),x49742)) % 199.45/199.84 [4992]~P121(x49921)+E(f84(x49921,f84(x49921,x49922)),f84(x49921,x49922)) % 199.45/199.84 [5006]~P81(x50061)+E(f330(f330(f247(x50061),x50062),f80(a928)),x50062) % 199.45/199.84 [5007]~P114(x50071)+E(f330(f330(f247(x50071),x50072),f80(a928)),x50072) % 199.45/199.84 [5008]~P54(x50081,x50082)+E(f330(f289(x50081,x50081),x50082),x50082) % 199.45/199.84 [5012]E(x50121,x50122)+E(f272(x50121,x50122),f330(f330(f82(a102),x50122),f80(a102))) % 199.45/199.84 [5015]E(f330(f36(x50151),x50152),f2(a928))+P108(f330(f62(x50151),x50152)) % 199.45/199.84 [5018]~E(f155(x50181,x50182),x50182)+P108(f330(f140(x50181),x50182)) % 199.45/199.84 [5021]~P77(x50211)+E(f330(f330(f23(x50211),x50212),f2(x50211)),x50212) % 199.45/199.84 [5022]~P81(x50221)+E(f330(f330(f83(x50221),x50222),f80(x50221)),x50222) % 199.45/199.84 [5023]~P72(x50231)+E(f330(f330(f83(x50231),x50232),f80(x50231)),x50232) % 199.45/199.84 [5024]~P114(x50241)+E(f330(f330(f83(x50241),x50242),f80(x50241)),x50242) % 199.45/199.84 [5025]~P114(x50251)+E(f330(f330(f82(x50251),x50252),f2(x50251)),x50252) % 199.45/199.84 [5026]~P76(x50261)+E(f330(f330(f82(x50261),x50262),f2(x50261)),x50262) % 199.45/199.84 [5027]~P82(x50271)+E(f330(f330(f82(x50271),x50272),f2(x50271)),x50272) % 199.45/199.84 [5028]~P63(x50281)+E(f330(f330(f37(x50281),x50282),f80(x50281)),x50282) % 199.45/199.84 [5029]~P125(x50291)+E(f330(f330(f294(x50291),x50292),f80(x50291)),x50292) % 199.45/199.84 [5030]~P103(x50301)+E(f330(f330(f104(x50301),x50302),f245(x50301)),x50302) % 199.45/199.84 [5031]~P100(x50311)+E(f330(f330(f113(x50311),x50312),f191(x50311)),x50312) % 199.45/199.84 [5032]~P114(x50321)+E(f330(f330(f247(x50321),x50322),f2(a928)),f80(x50321)) % 199.45/199.84 [5033]~P117(x50331)+E(f330(f330(f247(x50331),x50332),f2(a928)),f80(x50331)) % 199.45/199.84 [5034]~E(x50342,f191(f935(x50341,a923)))+E(f330(f36(x50341),x50342),f2(a928)) % 199.45/199.84 [5045]~P63(x50451)+E(f46(x50451,x50452,f2(x50451)),x50452) % 199.45/199.84 [5056]~P114(x50561)+E(f330(f330(f83(x50561),x50562),f2(x50561)),f2(x50561)) % 199.45/199.84 [5057]~P137(x50571)+E(f330(f330(f83(x50571),x50572),f2(x50571)),f2(x50571)) % 199.45/199.84 [5058]~P63(x50581)+E(f330(f330(f37(x50581),x50582),f2(x50581)),f2(x50581)) % 199.45/199.84 [5059]~P126(x50591)+E(f330(f330(f294(x50591),x50592),f2(x50591)),f2(x50591)) % 199.45/199.84 [5060]~P100(x50601)+E(f330(f330(f104(x50601),x50602),f191(x50601)),f191(x50601)) % 199.45/199.84 [5061]~P103(x50611)+E(f330(f330(f113(x50611),x50612),f245(x50611)),f245(x50611)) % 199.45/199.84 [5063]~P63(x50631)+E(f46(x50631,x50632,f80(x50631)),f2(x50631)) % 199.45/199.84 [5064]~P63(x50641)+E(f46(x50641,f2(x50641),x50642),f2(x50641)) % 199.45/199.84 [5093]E(x50931,f2(a928))+E(f56(x50932,x50931,f116(x50932)),f116(f929(x50932))) % 199.45/199.84 [5116]P54(x51161,x51162)+~E(f330(f289(x51161,x51161),x51162),x51162) % 199.45/199.84 [5117]P39(x51171,x51172)+~E(f578(x51172,x51171),f191(f935(x51171,a923))) % 199.45/199.84 [5118]E(x51181,f116(x51182))+~E(f330(f175(x51182),x51181),f191(f935(x51182,a923))) % 199.45/199.84 [5119]E(x51191,f116(x51192))+~E(f191(f935(x51192,a923)),f330(f175(x51192),x51191)) % 199.45/199.84 [5122]~E(x51221,x51222)+P108(f330(f330(a327,x51221),x51222)) % 199.45/199.84 [5132]P108(x51321)+P108(f330(f330(a333,x51321),x51322)) % 199.45/199.84 [5133]E(x51331,f116(x51332))+E(f330(f330(f167(x51332),x51331),f2(a928)),f330(f144(x51332),x51331)) % 199.45/199.84 [5136]E(f155(x51361,x51362),x51362)+~P108(f330(f140(x51361),x51362)) % 199.45/199.84 [5143]~P108(x51432)+P108(f330(f330(a329,x51431),x51432)) % 199.45/199.84 [5144]~P108(x51441)+P108(f330(f330(a329,x51441),x51442)) % 199.45/199.84 [5145]~P108(x51452)+P108(f330(f330(a333,x51451),x51452)) % 199.45/199.84 [5155]~E(f677(x51552,x51551),f682(x51552,x51551))+P108(f330(f140(x51551),x51552)) % 199.45/199.84 [5162]E(f330(f265(x51621),x51622),f191(f935(x51621,a923)))+P108(f330(x51622,f336(x51622))) % 199.45/199.84 [5163]E(f191(f935(x51631,a923)),f330(f265(x51631),x51632))+P108(f330(x51632,f391(x51632))) % 199.45/199.84 [5232]~P121(x52321)+E(f330(f330(f83(x52321),x52322),f84(x52321,x52322)),f330(f77(x52321),x52322)) % 199.45/199.84 [5243]~E(x52431,f2(a1))+E(f47(x52431,x52432),f330(f330(f255(a1,a1),f2(a1)),f2(a1))) % 199.45/199.84 [5274]~P60(x52741,x52742)+P60(x52741,f330(f289(x52741,x52741),x52742)) % 199.45/199.84 [5275]~P40(x52751,x52752)+P40(x52751,f330(f289(x52751,x52751),x52752)) % 199.45/199.84 [5276]~P41(x52761,x52762)+P41(x52761,f330(f289(x52761,x52761),x52762)) % 199.45/199.84 [5277]~P54(x52771,x52772)+P54(x52771,f330(f289(x52771,x52771),x52772)) % 199.45/199.84 [5299]E(x52991,x52992)+~P108(f330(f330(a327,x52991),x52992)) % 199.45/199.84 [5310]P108(x53101)+~P108(f330(f330(a328,x53102),x53101)) % 199.45/199.84 [5311]P108(x53111)+~P108(f330(f330(a328,x53111),x53112)) % 199.45/199.84 [5316]~P118(x53161)+P108(f330(f330(f238(x53161),x53162),f245(x53161))) % 199.45/199.84 [5317]~P114(x53171)+P108(f330(f330(f290(x53171),x53172),f2(x53171))) % 199.45/199.84 [5321]E(x53211,x53212)+~E(f330(x53211,f404(x53212,x53211)),f330(x53212,f404(x53212,x53211))) % 199.45/199.84 [5352]E(x53521,f2(a928))+E(f220(x53521,f46(a928,x53522,x53521)),f220(x53522,x53521)) % 199.45/199.84 [5357]~P110(x53571)+P13(x53571,f330(f330(f154(x53571),x53572),f116(x53571))) % 199.45/199.84 [5359]E(x53591,f2(a1))+P108(f330(f50(x53592,x53591),f47(x53592,x53591))) % 199.45/199.84 [5375]~P15(x53752,x53751)+P108(f330(f330(x53751,f812(x53751)),f812(x53751))) % 199.45/199.84 [5378]~E(x53781,x53782)+P108(f330(f330(f239(a928),x53781),f330(a115,x53782))) % 199.45/199.84 [5388]~E(x53881,f2(a928))+P108(f330(f330(f239(a928),x53881),f330(a115,x53882))) % 199.45/199.84 [5398]P108(f330(x53981,x53982))+P108(f330(f330(f238(a1),f2(a1)),f885(x53981))) % 199.45/199.84 [5461]E(f330(f330(f312(x54612),f446(x54612,x54611)),f534(x54612,x54611)),x54611)+E(x54611,f191(f935(x54612,a923))) % 199.45/199.84 [5462]P60(x54621,x54622)+~P60(x54621,f330(f289(x54621,x54621),x54622)) % 199.45/199.84 [5463]P40(x54631,x54632)+~P40(x54631,f330(f289(x54631,x54631),x54632)) % 199.45/199.84 [5464]P41(x54641,x54642)+~P41(x54641,f330(f289(x54641,x54641),x54642)) % 199.45/199.84 [5465]P54(x54651,x54652)+~P54(x54651,f330(f289(x54651,x54651),x54652)) % 199.45/199.84 [5468]~E(f46(a928,x54682,x54681),f2(a928))+E(f330(f330(f83(a928),x54681),f338(x54681,x54682)),x54682) % 199.45/199.84 [5469]~E(f46(a1,x54692,x54691),f2(a1))+E(f330(f330(f83(a1),x54691),f339(x54691,x54692)),x54692) % 199.45/199.84 [5495]~P108(f330(x54951,x54952))+P108(f330(f330(f238(a1),f2(a1)),f884(x54951))) % 199.45/199.84 [5506]E(f330(f330(f23(a928),f330(a107,x55061)),f330(a107,x55062)),f330(a107,x55061))+~P108(f330(a196,x55062)) % 199.45/199.84 [5535]E(f275(x55351,x55352),f80(a102))+~P108(f330(f330(f238(a102),x55351),f80(a102))) % 199.45/199.84 [5631]E(f330(f330(f167(x56311),x56312),f677(x56312,x56311)),f330(f330(f167(x56311),x56312),f682(x56312,x56311)))+P108(f330(f140(x56311),x56312)) % 199.45/199.84 [5674]~P108(f330(x56741,f92(x56742,x56741)))+P108(f330(x56741,f579(x56742,x56741))) % 199.45/199.84 [5738]P62(x57381,x57382)+~P108(f330(f318(x57381,x57382),f548(x57382,x57381))) % 199.45/199.84 [5881]~P15(x58812,x58811)+P108(f330(f330(x58811,f813(x58811,x58812)),f813(x58811,x58812))) % 199.45/199.84 [5882]~P15(x58822,x58821)+P108(f330(f330(x58821,f816(x58821,x58822)),f816(x58821,x58822))) % 199.45/199.84 [5891]~E(f330(a115,f46(a928,x58911,x58912)),x58912)+E(f46(a928,f330(a115,x58911),x58912),f2(a928)) % 199.45/199.84 [5946]P39(x59461,x59462)+P108(f330(f330(f332(x59461),f621(x59462,x59461)),f622(x59462,x59461))) % 199.45/199.84 [5953]~P95(x59531)+P108(f330(f330(f332(x59531),f330(f106(x59531),x59532)),f112(x59531))) % 199.45/199.84 [5954]~P145(x59541)+P108(f330(f330(f332(x59541),f330(f103(x59541),x59542)),f112(x59541))) % 199.45/199.84 [5955]~P148(x59551)+P108(f330(f330(f332(x59551),f330(f103(x59551),x59552)),f189(x59551))) % 199.45/199.84 [5956]~P145(x59561)+P108(f330(f330(f332(x59561),f330(f105(x59561),x59562)),f112(x59561))) % 199.45/199.84 [6090]~P40(x60901,x60902)+E(f330(f330(f292(x60901,x60901,x60901),x60902),f310(x60901,x60902)),x60902) % 199.45/199.84 [6104]E(f330(a115,f46(a928,x61041,x61042)),x61042)+E(f46(a928,f330(a115,x61041),x61042),f330(a115,f46(a928,x61041,x61042))) % 199.45/199.84 [6527]P39(x65271,x65272)+~P108(f330(f330(f332(x65271),f517(x65272,x65271)),f319(x65271,x65272))) % 199.45/199.84 [6565]~P113(x65651)+~P108(f330(f330(f239(x65651),f330(f103(x65651),x65652)),f2(x65651))) % 199.45/199.84 [6566]~P86(x65661)+~P108(f330(f330(f239(x65661),f330(f77(x65661),x65662)),f2(x65661))) % 199.45/199.84 [6597]E(x65971,f191(f935(x65972,a923)))+~P108(f330(f330(f332(x65972),f446(x65972,x65971)),f534(x65972,x65971))) % 199.45/199.84 [6655]P108(f330(f330(f239(a1),x66551),f46(a1,x66552,x66551)))+~P108(f330(f330(f239(a1),x66551),f2(a1))) % 199.45/199.84 [6758]E(f330(f330(f312(a928),f330(a115,x67581)),f306(a928,x67582,x67581)),f306(a928,x67582,f330(a115,x67581)))+~P108(f330(f330(f238(a928),x67582),f330(a115,x67581))) % 199.45/199.84 [6847]~P110(x68471)+P13(x68471,f153(x68471,x68471,f5(x68471),x68472)) % 199.45/199.84 [6975]E(f330(f170(x69751),x69752),x69752)+~P108(f330(f330(f238(a928),f330(f192(f929(x69751)),x69752)),f80(a928))) % 199.45/199.84 [6994]~P86(x69941)+P108(f330(f330(f238(x69941),f330(f81(x69941),f330(f77(x69941),x69942))),f2(x69941))) % 199.45/199.84 [7027]~P39(x70271,x70272)+P39(x70271,f330(f330(f292(x70271,x70271,x70271),x70272),f310(x70271,x70272))) % 199.45/199.84 [7028]~P54(x70281,x70282)+P54(x70281,f330(f330(f292(x70281,x70281,x70281),x70282),f310(x70281,x70282))) % 199.45/199.84 [7249]~P108(f330(f330(f239(a1),x72492),f2(a1)))+P108(f330(f330(f238(a1),f46(a1,x72491,x72492)),f2(a1))) % 199.45/199.84 [7648]~P148(x76481)+E(f193(x76481,f330(f330(f7(x76481,x76481,x76481),f82(x76481)),f80(x76481)),x76482,f2(x76481)),f330(f103(x76481),x76482)) % 199.45/199.84 [7676]~P128(x76761)+~P108(f330(f330(f239(x76761),f330(f330(f83(x76761),x76762),x76762)),f2(x76761))) % 199.45/199.84 [10291]~P121(x102911)+~P108(f330(f330(f239(x102911),f330(f330(f247(x102911),x102912),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f2(x102911))) % 199.45/199.84 [4921]~E(x49212,f116(x49211))+E(f330(f192(f929(x49211)),x49212),f2(a928)) % 199.45/199.84 [4959]~E(x49591,f2(a928))+E(f330(f330(f82(a928),x49591),x49592),x49592) % 199.45/199.84 [4960]~E(x49602,f2(a928))+E(f330(f330(f83(a928),x49601),x49602),f2(a928)) % 199.45/199.84 [4962]~E(x49621,f2(a928))+E(f330(f330(f83(a928),x49621),x49622),f2(a928)) % 199.45/199.84 [4963]~E(x49632,f2(a928))+E(f330(f330(f247(a928),x49631),x49632),f80(a928)) % 199.45/199.84 [4964]~E(x49642,f2(a1))+E(f330(f330(f37(a1),x49641),x49642),f2(a1)) % 199.45/199.84 [4975]E(x49751,f116(x49752))+~E(f330(f192(f929(x49752)),x49751),f2(a928)) % 199.45/199.84 [4977]~P98(x49771)+E(f330(f330(f83(x49771),x49772),x49772),x49772) % 199.45/199.84 [4979]~P110(x49791)+E(f330(f330(f236(x49791),x49792),x49792),x49792) % 199.45/199.84 [4981]~P110(x49811)+E(f330(f330(f237(x49811),x49812),x49812),x49812) % 199.45/199.84 [4982]~P99(x49821)+E(f330(f330(f104(x49821),x49822),x49822),x49822) % 199.45/199.84 [4984]~P104(x49841)+E(f330(f330(f104(x49841),x49842),x49842),x49842) % 199.45/199.84 [4985]~P99(x49851)+E(f330(f330(f113(x49851),x49852),x49852),x49852) % 199.45/199.84 [4987]~P105(x49871)+E(f330(f330(f113(x49871),x49872),x49872),x49872) % 199.45/199.84 [5005]~P77(x50051)+E(f330(f330(f23(x50051),x50052),x50052),f2(x50051)) % 199.45/199.84 [5019]~P77(x50191)+E(f330(f81(x50191),f330(f81(x50191),x50192)),x50192) % 199.45/199.84 [5020]~P97(x50201)+E(f330(f81(x50201),f330(f81(x50201),x50202)),x50202) % 199.45/199.84 [5037]~E(x50372,f2(a928))+E(f330(f330(f247(a928),x50371),x50372),f330(a115,f2(a928))) % 199.45/199.84 [5072]~P81(x50721)+E(f330(f330(f83(x50721),f80(x50721)),x50722),x50722) % 199.45/199.84 [5073]~P72(x50731)+E(f330(f330(f83(x50731),f80(x50731)),x50732),x50732) % 199.45/199.84 [5074]~P114(x50741)+E(f330(f330(f83(x50741),f80(x50741)),x50742),x50742) % 199.45/199.84 [5075]~P114(x50751)+E(f330(f330(f82(x50751),f2(x50751)),x50752),x50752) % 199.45/199.84 [5076]~P76(x50761)+E(f330(f330(f82(x50761),f2(x50761)),x50762),x50762) % 199.45/199.84 [5077]~P82(x50771)+E(f330(f330(f82(x50771),f2(x50771)),x50772),x50772) % 199.45/199.84 [5078]~P103(x50781)+E(f330(f330(f104(x50781),f245(x50781)),x50782),x50782) % 199.45/199.84 [5079]~P100(x50791)+E(f330(f330(f113(x50791),f191(x50791)),x50792),x50792) % 199.45/199.84 [5097]~P114(x50971)+E(f330(f330(f83(x50971),f2(x50971)),x50972),f2(x50971)) % 199.45/199.84 [5098]~P137(x50981)+E(f330(f330(f83(x50981),f2(x50981)),x50982),f2(x50981)) % 199.45/199.84 [5099]~P81(x50991)+E(f330(f330(f247(x50991),f80(x50991)),x50992),f80(x50991)) % 199.45/199.84 [5100]~P63(x51001)+E(f330(f330(f37(x51001),f2(x51001)),x51002),f2(x51001)) % 199.45/199.84 [5101]~P125(x51011)+E(f330(f330(f294(x51011),f2(x51011)),x51012),f2(x51011)) % 199.45/199.84 [5102]~P100(x51021)+E(f330(f330(f104(x51021),f191(x51021)),x51022),f191(x51021)) % 199.45/199.84 [5103]~P103(x51031)+E(f330(f330(f113(x51031),f245(x51031)),x51032),f245(x51031)) % 199.45/199.84 [5111]E(x51111,f116(x51112))+E(f147(x51112,f330(f171(x51112),x51111)),f330(f144(x51112),x51111)) % 199.45/199.84 [5112]E(x51121,f116(x51122))+E(f330(f144(x51122),f330(f171(x51122),x51121)),f147(x51122,x51121)) % 199.45/199.84 [5113]E(x51131,f2(a928))+~E(f330(f330(f82(a928),x51132),x51131),x51132) % 199.45/199.84 [5120]~P95(x51201)+E(f330(f105(x51201),f330(f106(a1),x51202)),f330(f106(x51201),x51202)) % 199.45/199.84 [5121]~P145(x51211)+E(f330(f105(x51211),f330(f103(a1),x51212)),f330(f103(x51211),x51212)) % 199.45/199.84 [5128]E(x51281,f80(a928))+~E(f330(f330(f83(a928),x51282),x51281),f80(a928)) % 199.45/199.84 [5129]E(x51291,f80(a928))+~E(f330(f330(f83(a928),x51291),x51292),f80(a928)) % 199.45/199.84 [5130]E(x51301,f2(a928))+~E(f330(f330(f82(a928),x51302),x51301),f2(a928)) % 199.45/199.84 [5131]E(x51311,f2(a928))+~E(f330(f330(f82(a928),x51311),x51312),f2(a928)) % 199.45/199.84 [5148]~P121(x51481)+E(f330(f77(x51481),f330(f103(x51481),x51482)),f330(f103(x51481),x51482)) % 199.45/199.84 [5149]~P86(x51491)+E(f330(f77(x51491),f330(f77(x51491),x51492)),f330(f77(x51491),x51492)) % 199.45/199.84 [5150]~P86(x51501)+E(f330(f77(x51501),f330(f81(x51501),x51502)),f330(f77(x51501),x51502)) % 199.45/199.84 [5151]~P76(x51511)+E(f330(f168(x51511),f330(f171(x51511),x51512)),f330(f168(x51511),x51512)) % 199.45/199.84 [5156]~E(x51561,f330(a115,f2(a928)))+E(f330(f330(f247(a928),x51561),x51562),f330(a115,f2(a928))) % 199.45/199.84 [5165]~P77(x51651)+E(f330(f330(f23(x51651),f2(x51651)),x51652),f330(f81(x51651),x51652)) % 199.45/199.84 [5166]~E(x51662,f2(a928))+E(f142(a928,f330(f305(a928,x51661),x51662)),f116(a928)) % 199.45/199.84 [5175]~P95(x51751)+E(f330(f330(f82(x51751),x51752),f330(f106(x51751),a85)),x51752) % 199.45/199.84 [5176]E(x51761,f2(a1))+E(f48(f330(f77(a1),x51762),f330(f77(a1),x51761)),f54(x51762,x51761)) % 199.45/199.84 [5192]~E(x51921,x51922)+P108(f330(f330(f238(a928),x51921),x51922)) % 199.45/199.84 [5199]~E(x51991,f2(a102))+E(f330(f330(f82(a928),f330(a20,x51991)),x51992),x51992) % 199.45/199.84 [5213]~P6(x52131)+P6(f330(f330(f247(a1),x52131),x52132)) % 199.45/199.84 [5214]~P77(x52141)+E(f330(f330(f82(x52141),x52142),f330(f81(x52141),x52142)),f2(x52141)) % 199.45/199.84 [5215]~P97(x52151)+E(f330(f330(f104(x52151),x52152),f330(f81(x52151),x52152)),f191(x52151)) % 199.45/199.84 [5216]~P97(x52161)+E(f330(f330(f113(x52161),x52162),f330(f81(x52161),x52162)),f245(x52161)) % 199.45/199.84 [5240]E(x52401,f2(a928))+~E(f330(f81(a1),f330(f103(a1),x52402)),f330(f103(a1),x52401)) % 199.45/199.84 [5241]E(x52411,f2(a928))+~E(f330(f81(a1),f330(f103(a1),x52411)),f330(f103(a1),x52412)) % 199.45/199.84 [5251]E(f197(x52511,x52512),f2(a1))+P108(f330(f330(f238(a1),x52512),x52511)) % 199.45/199.84 [5252]E(f181(x52521,x52522),f116(a1))+P108(f330(f330(f238(a1),x52521),x52522)) % 199.45/199.84 [5253]E(f244(x52531,x52532),f2(a102))+P108(f330(f330(f239(a102),x52531),x52532)) % 199.45/199.84 [5266]E(x52661,f330(a115,f2(a928)))+~E(f330(f330(f83(a928),x52662),x52661),f330(a115,f2(a928))) % 199.45/199.84 [5267]E(x52671,f330(a115,f2(a928)))+~E(f330(f330(f83(a928),x52671),x52672),f330(a115,f2(a928))) % 199.45/199.84 [5268]~P109(x52681)+P108(f330(f330(f238(x52681),x52682),x52682)) % 199.45/199.84 [5271]~P95(x52711)+E(f330(f330(f83(x52711),x52712),f330(f106(x52711),a100)),f330(f81(x52711),x52712)) % 199.45/199.84 [5291]~P95(x52911)+E(f330(f81(x52911),f330(f106(x52911),x52912)),f330(f106(x52911),f330(f81(a1),x52912))) % 199.45/199.84 [5292]~P145(x52921)+E(f330(f81(x52921),f330(f105(x52921),x52922)),f330(f105(x52921),f330(f81(a1),x52922))) % 199.45/199.84 [5322]~E(x53221,f330(a115,x53222))+P108(f330(f330(f239(a928),f2(a928)),x53221)) % 199.45/199.84 [5340]~P110(x53401)+E(f330(f81(f935(x53401,a923)),f330(f285(x53401),x53402)),f330(f286(x53401),x53402)) % 199.45/199.84 [5341]~P110(x53411)+E(f330(f81(f935(x53411,a923)),f330(f304(x53411),x53412)),f330(f307(x53411),x53412)) % 199.45/199.84 [5342]~P110(x53421)+E(f330(f81(f935(x53421,a923)),f330(f286(x53421),x53422)),f330(f285(x53421),x53422)) % 199.45/199.84 [5343]~P110(x53431)+E(f330(f81(f935(x53431,a923)),f330(f307(x53431),x53432)),f330(f304(x53431),x53432)) % 199.45/199.84 [5351]~E(f330(f103(a1),x53512),x53511)+P108(f330(f330(f238(a1),f2(a1)),x53511)) % 199.45/199.84 [5358]~E(x53582,f2(a1))+E(f54(x53581,x53582),f330(f330(f255(a1,a1),f2(a1)),f330(f77(a1),x53581))) % 199.45/199.84 [5360]~P1(x53601)+P108(f330(f330(f238(x53601),f191(x53601)),x53602)) % 199.45/199.84 [5393]E(x53931,x53932)+~E(f330(f330(f82(a1),x53931),x53931),f330(f330(f82(a1),x53932),x53932)) % 199.45/199.84 [5397]~P108(f330(x53971,x53972))+P108(f330(x53971,f330(a107,f884(x53971)))) % 199.45/199.84 [5423]~P121(x54231)+E(f330(f330(f83(x54231),f84(x54231,x54232)),f330(f77(x54231),x54232)),x54232) % 199.45/199.84 [5430]~E(x54302,f2(a928))+E(f87(f934(a928,a928),f49(x54301,x54302)),f330(f330(f255(a928,a928),f2(a928)),x54301)) % 199.45/199.84 [5435]~E(x54351,x54352)+~P108(f330(f330(f239(a928),x54351),x54352)) % 199.45/199.84 [5436]~E(x54361,x54362)+~P108(f330(f330(f239(a1),x54361),x54362)) % 199.45/199.84 [5439]~P148(x54391)+E(f330(f330(f82(x54391),f80(x54391)),f330(f103(x54391),x54392)),f330(f103(x54391),f330(a115,x54392))) % 199.45/199.84 [5443]~E(x54431,f2(a928))+~P108(f330(f330(f239(a928),x54432),x54431)) % 199.45/199.84 [5457]E(f155(x54571,x54572),x54572)+~E(f330(f192(f929(x54571)),f155(x54571,x54572)),f330(f192(f929(x54571)),x54572)) % 199.45/199.84 [5458]E(f330(f36(x54581),f330(f175(x54581),x54582)),f330(f192(f929(x54581)),x54582))+~P108(f330(f140(x54581),x54582)) % 199.45/199.84 [5473]~P108(f330(x54731,f886(x54731)))+P108(f330(x54731,f330(f103(a1),x54732))) % 199.45/199.84 [5483]E(f244(x54831,x54832),x54832)+~P108(f330(f330(f239(a102),x54831),x54832)) % 199.45/199.84 [5485]E(f275(x54851,x54852),f80(a102))+~P108(f330(f330(f239(a102),x54852),x54851)) % 199.45/199.84 [5486]E(f181(x54861,x54862),f116(a1))+~P108(f330(f330(f239(a1),x54862),x54861)) % 199.45/199.84 [5487]E(f131(x54871,x54872),f118(a1))+~P108(f330(f330(f239(a1),x54871),x54872)) % 199.45/199.84 [5489]~P112(x54891)+E(f306(x54891,x54892,x54892),f330(f330(f312(x54891),x54892),f191(f935(x54891,a923)))) % 199.45/199.84 [5509]~E(f330(f330(f23(a928),x55091),x55092),f2(a928))+P108(f330(f330(f238(a928),x55091),x55092)) % 199.45/199.84 [5532]~E(x55322,f2(a928))+E(f56(x55321,x55322,f116(x55321)),f330(f330(f154(f929(x55321)),f116(x55321)),f116(f929(x55321)))) % 199.45/199.84 [5536]~P109(x55361)+~P108(f330(f330(f239(x55361),x55362),x55362)) % 199.45/199.84 [5538]~E(f46(a1,x55381,x55382),f2(a1))+E(f46(a1,x55381,f330(f81(a1),x55382)),f2(a1)) % 199.45/199.84 [5540]~E(f46(a1,x55401,x55402),f2(a1))+E(f46(a1,f330(f81(a1),x55401),x55402),f2(a1)) % 199.45/199.84 [5548]E(f330(f305(a928,x55481),f330(a115,x55482)),f191(f935(a928,a923)))+P108(f330(f330(f238(a928),x55481),x55482)) % 199.45/199.84 [5571]E(f142(a928,f330(f305(a928,x55711),x55712)),f116(a928))+P108(f330(f330(f239(a928),x55711),x55712)) % 199.45/199.84 [5576]~E(f330(f36(x55761),f330(f175(x55761),x55762)),f330(f192(f929(x55761)),x55762))+P108(f330(f140(x55761),x55762)) % 199.45/199.84 [5580]~P108(f330(f140(x55801),x55802))+P108(f330(f140(x55801),f330(f170(x55801),x55802))) % 199.45/199.84 [5581]~P108(f330(f140(x55811),x55812))+P108(f330(f140(x55811),f330(f174(x55811),x55812))) % 199.45/199.84 [5582]~P108(f330(f140(x55821),x55822))+P108(f330(f140(x55821),f330(f171(x55821),x55822))) % 199.45/199.84 [5590]P108(f330(x55901,x55902))+~P108(f330(x55901,f330(a107,f885(x55901)))) % 199.45/199.84 [5591]P108(f330(f330(f238(a928),x55912),x55911))+P108(f330(f330(f238(a928),x55911),x55912)) % 199.45/199.84 [5592]P108(f330(f330(f238(a1),x55922),x55921))+P108(f330(f330(f238(a1),x55921),x55922)) % 199.45/199.84 [5596]~P86(x55961)+P108(f330(f330(f238(x55961),x55962),f330(f77(x55961),x55962))) % 199.45/199.84 [5599]P108(f330(x55991,f887(x55991)))+~P108(f330(x55991,f330(f103(a1),x55992))) % 199.45/199.84 [5623]E(f330(f330(f23(a928),x56231),x56232),f2(a928))+~P108(f330(f330(f238(a928),x56231),x56232)) % 199.45/199.84 [5624]E(f330(f330(f37(a928),x56241),x56242),f2(a928))+~P108(f330(f330(f239(a928),x56241),x56242)) % 199.45/199.84 [5643]E(f46(a928,x56431,x56432),x56431)+~P108(f330(f330(f239(a928),x56431),x56432)) % 199.45/199.84 [5651]E(f46(a1,x56511,f330(f81(a1),x56512)),f295(x56511,x56512))+P108(f330(f330(f238(a1),f2(a1)),x56512)) % 199.45/199.84 [5663]E(f330(f330(f23(a1),x56631),x56632),f197(x56631,x56632))+~P108(f330(f330(f238(a1),x56632),x56631)) % 199.45/199.84 [5683]P108(f330(f330(f238(a1),f2(a1)),f886(x56831)))+P108(f330(x56831,f330(f103(a1),x56832))) % 199.45/199.84 [5696]~P113(x56961)+P108(f330(f330(f238(x56961),f2(x56961)),f330(f103(x56961),x56962))) % 199.45/199.84 [5697]~P86(x56971)+P108(f330(f330(f238(x56971),f2(x56971)),f330(f77(x56971),x56972))) % 199.45/199.84 [5724]E(f330(f330(f82(a928),x57241),f761(x57242,x57241)),x57242)+~P108(f330(f330(f238(a928),x57241),x57242)) % 199.45/199.84 [5739]E(f306(a1,x57391,x57392),f191(f935(a1,a923)))+~P108(f330(f330(f239(a1),x57392),x57391)) % 199.45/199.84 [5741]~P121(x57411)+E(f330(f330(f83(x57411),f330(f77(x57411),x57412)),f330(f77(x57411),x57412)),f330(f330(f83(x57411),x57412),x57412)) % 199.45/199.84 [5747]E(f142(a928,f330(f305(a928,x57471),f330(a115,x57472))),f116(a928))+P108(f330(f330(f238(a928),x57471),x57472)) % 199.45/199.84 [5751]E(f330(f330(f37(a1),x57511),x57512),f296(x57511,x57512))+~P108(f330(f330(f238(a1),f2(a1)),x57512)) % 199.45/199.84 [5771]P108(f330(f140(x57711),x57712))+~P108(f330(f140(x57711),f330(f170(x57711),x57712))) % 199.45/199.84 [5772]P108(f330(f140(x57721),x57722))+~P108(f330(f140(x57721),f330(f171(x57721),x57722))) % 199.45/199.84 [5797]P108(f330(f62(a928),x57971))+P108(f330(f330(f332(a928),f683(x57971,x57972)),x57971)) % 199.45/199.84 [5798]P108(f330(f62(a928),x57981))+P108(f330(f330(f332(a928),f745(x57981,x57982)),x57981)) % 199.45/199.84 [5801]P108(f330(f330(f239(a928),x58012),f330(a115,x58011)))+P108(f330(f330(f239(a928),x58011),x58012)) % 199.45/199.84 [5802]E(f46(a1,x58021,x58022),f295(x58021,x58022))+~P108(f330(f330(f238(a1),f2(a1)),x58022)) % 199.45/199.84 [5806]E(f142(a928,f330(f305(a928,x58061),x58062)),f116(a928))+~P108(f330(f330(f238(a928),x58062),x58061)) % 199.45/199.84 [5807]~P80(x58071)+E(f330(f313(x58071,x58071,f81(x58071)),f330(f285(x58071),x58072)),f330(f307(x58071),f330(f81(x58071),x58072))) % 199.45/199.84 [5808]~P80(x58081)+E(f330(f313(x58081,x58081,f81(x58081)),f330(f304(x58081),x58082)),f330(f286(x58081),f330(f81(x58081),x58082))) % 199.45/199.84 [5809]~P80(x58091)+E(f330(f313(x58091,x58091,f81(x58091)),f330(f286(x58091),x58092)),f330(f304(x58091),f330(f81(x58091),x58092))) % 199.45/199.84 [5810]~P80(x58101)+E(f330(f313(x58101,x58101,f81(x58101)),f330(f307(x58101),x58102)),f330(f285(x58101),f330(f81(x58101),x58102))) % 199.45/199.84 [5821]E(x58211,f191(f935(x58212,a923)))+P108(f330(f330(f332(x58212),f405(x58211,x58212)),x58211)) % 199.45/199.84 [5822]E(x58221,f191(f935(x58222,a923)))+P108(f330(f330(f332(x58222),f406(x58221,x58222)),x58221)) % 199.45/199.84 [5833]~P108(f330(f330(f239(a928),x58331),x58332))+P108(f330(f330(f238(a928),x58331),x58332)) % 199.45/199.84 [5834]~P108(f330(f330(f239(a1),x58341),x58342))+P108(f330(f330(f238(a1),x58341),x58342)) % 199.45/199.84 [5850]E(f48(x58501,x58502),f330(f330(f255(a1,a1),f2(a1)),x58501))+~P108(f330(f330(f239(a1),x58501),x58502)) % 199.45/199.84 [5852]E(f219(f330(f81(a1),x58521),f330(f81(a1),x58522)),f219(x58521,x58522))+~P108(f330(f330(f239(a1),x58522),f2(a1))) % 199.45/199.84 [5863]E(x58631,x58632)+~E(f330(a3,f330(a115,f330(a20,x58631))),f330(a3,f330(a115,f330(a20,x58632)))) % 199.45/199.84 [5868]E(f48(x58681,x58682),f330(f330(f255(a1,a1),f2(a1)),x58681))+~P108(f330(f330(f238(a1),x58682),f2(a1))) % 199.45/199.84 [5897]E(f46(a928,f330(f106(a928),x58971),f330(f106(a928),x58972)),f2(a928))+~P108(f330(a196,f330(f106(a1),x58971))) % 199.45/199.84 [5911]P108(f330(f330(f238(a1),f2(a1)),f887(x59111)))+~P108(f330(x59111,f330(f103(a1),x59112))) % 199.45/199.84 [5944]P42(f306(a1,x59441,x59442))+~P108(f330(f330(f238(a1),f2(a1)),x59441)) % 199.45/199.84 [5949]~P108(f330(f62(x59491),x59492))+P108(f330(f62(f935(x59491,a923)),f330(f311(x59491),x59492))) % 199.45/199.84 [5962]E(f330(f330(f82(a1),x59621),f330(f103(a1),f911(x59622,x59621))),x59622)+~P108(f330(f330(f238(a1),x59621),x59622)) % 199.45/199.84 [5970]P108(f330(f330(f238(a928),x59701),x59702))+P108(f330(f330(f238(a928),f330(a115,x59702)),x59701)) % 199.45/199.84 [6014]E(f330(f330(f37(a928),f330(f106(a928),x60141)),f330(f106(a928),x60142)),f2(a928))+~P108(f330(a196,f330(f106(a1),x60141))) % 199.45/199.84 [6015]E(f330(f330(f83(a928),f330(f106(a928),x60151)),f330(f106(a928),x60152)),f2(a928))+~P108(f330(f330(f239(a1),x60151),a85)) % 199.45/199.84 [6017]P108(f330(f330(f238(a928),x60171),f330(a115,x60172)))+~P108(f330(f330(f238(a928),x60171),x60172)) % 199.45/199.84 [6019]P108(f330(f330(f239(a928),x60191),f330(a115,x60192)))+~P108(f330(f330(f238(a928),x60191),x60192)) % 199.45/199.84 [6021]P108(f330(f330(f239(a928),x60211),f330(a115,x60212)))+~P108(f330(f330(f239(a928),x60211),x60212)) % 199.45/199.84 [6024]~E(x60241,x60242)+P108(f330(f330(f239(a1),x60241),f330(f330(f82(a1),x60242),f80(a1)))) % 199.45/199.84 [6027]E(f46(a1,x60271,x60272),f2(a1))+E(f330(f330(f23(a1),x60272),f46(a1,x60271,x60272)),f46(a1,f330(f81(a1),x60271),x60272)) % 199.45/199.84 [6036]E(x60361,f116(x60362))+P108(f330(f330(f332(x60362),f147(x60362,x60361)),f330(f175(x60362),x60361))) % 199.45/199.84 [6048]E(f87(f934(a928,a928),f49(x60481,x60482)),f330(f330(f255(a928,a928),f2(a928)),x60481))+~P108(f330(f330(f239(a928),x60481),x60482)) % 199.45/199.84 [6083]E(f330(f330(f23(a928),f330(f106(a928),x60831)),f330(f106(a928),x60832)),f330(f106(a928),x60831))+~P108(f330(f330(f239(a1),x60832),a85)) % 199.45/199.84 [6084]E(f330(f330(f82(a928),f330(f106(a928),x60841)),f330(f106(a928),x60842)),f330(f106(a928),x60842))+~P108(f330(f330(f239(a1),x60841),a85)) % 199.45/199.84 [6091]E(f330(a115,f330(f330(f82(a928),x60911),f794(x60912,x60911))),x60912)+~P108(f330(f330(f239(a928),x60911),x60912)) % 199.45/199.84 [6115]P108(f330(x61151,x61152))+~P108(f330(x61151,f330(a91,f580(x61152,x61151)))) % 199.45/199.84 [6116]P108(f330(x61161,x61162))+~P108(f330(x61161,f330(a3,f828(x61162,x61161)))) % 199.45/199.84 [6125]~P108(f330(f330(f239(a928),x61251),f330(a115,x61252)))+P108(f330(f330(f238(a928),x61251),x61252)) % 199.45/199.84 [6175]E(f330(f330(f312(a928),x61751),f330(f305(a928,x61752),x61751)),f330(f305(a928,x61752),f330(a115,x61751)))+~P108(f330(f330(f238(a928),x61752),x61751)) % 199.45/199.84 [6177]E(x61771,f116(x61772))+E(f330(f330(f137(x61772),f117(x61772,x61771)),f330(f330(f154(x61772),f147(x61772,x61771)),f116(x61772))),x61771) % 199.45/199.84 [6194]P108(f330(f62(x61941),x61942))+~P108(f330(f330(f239(a928),f2(a928)),f330(f36(x61941),x61942))) % 199.45/199.84 [6198]~E(x61981,f191(f935(x61982,a923)))+~P108(f330(f330(f239(a928),f2(a928)),f330(f36(x61982),x61981))) % 199.45/199.84 [6210]~P108(f330(f330(f239(a928),x62101),x62102))+P108(f330(f330(f238(a928),f330(a115,x62101)),x62102)) % 199.45/199.84 [6214]~P110(x62141)+E(f153(x62141,x62141,f5(x62141),f155(x62141,x62142)),f142(x62141,f330(f175(x62141),x62142))) % 199.45/199.84 [6217]E(x62171,f116(x62172))+P108(f330(f330(f332(x62172),f330(f144(x62172),x62171)),f330(f175(x62172),x62171))) % 199.45/199.84 [6223]~P113(x62231)+P108(f330(f330(f239(x62231),x62232),f330(f330(f82(x62231),x62232),f80(x62231)))) % 199.45/199.84 [6225]~P86(x62251)+P108(f330(f330(f238(x62251),f330(f81(x62251),x62252)),f330(f77(x62251),x62252))) % 199.45/199.84 [6239]~E(x62391,x62392)+E(f293(a928,f290(a928),x62391,x62392),f330(f330(f312(a928),x62391),f191(f935(a928,a923)))) % 199.45/199.84 [6257]P108(f330(f62(a928),x62571))+~P108(f330(f330(f238(a928),f683(x62571,x62572)),x62572)) % 199.45/199.84 [6258]P108(f330(f62(a928),x62581))+~P108(f330(f330(f239(a928),f745(x62581,x62582)),x62582)) % 199.45/199.84 [6261]~P108(f330(f62(f934(x62611,x62611)),x62612))+P108(f330(f62(x62611),f330(f284(x62611),x62612))) % 199.45/199.84 [6319]~P108(f330(f330(f239(a928),x63192),f330(a115,x63191)))+~P108(f330(f330(f239(a928),x63191),x63192)) % 199.45/199.84 [6320]~P112(x63201)+E(f330(f330(f104(f935(x63201,a923)),f330(f304(x63201),x63202)),f330(f286(x63201),x63202)),f330(f330(f312(x63201),x63202),f191(f935(x63201,a923)))) % 199.45/199.84 [6332]P108(f330(f62(x63321),x63322))+~P108(f330(f62(f935(x63321,a923)),f330(f311(x63321),x63322))) % 199.45/199.84 [6355]P108(f330(f330(f238(a928),f330(a115,x63551)),f330(a115,x63552)))+~P108(f330(f330(f238(a928),x63551),x63552)) % 199.45/199.84 [6356]P108(f330(f330(f238(a928),f330(a20,x63561)),f330(a20,x63562)))+~P108(f330(f330(f238(a102),x63561),x63562)) % 199.45/199.84 [6357]P108(f330(f330(f238(a102),f330(a3,x63571)),f330(a3,x63572)))+~P108(f330(f330(f238(a928),x63571),x63572)) % 199.45/199.84 [6359]P108(f330(f330(f239(a928),f330(a115,x63591)),f330(a115,x63592)))+~P108(f330(f330(f239(a928),x63591),x63592)) % 199.45/199.84 [6360]P108(f330(f330(f239(a928),f330(a20,x63601)),f330(a20,x63602)))+~P108(f330(f330(f239(a102),x63601),x63602)) % 199.45/199.84 [6361]P108(f330(f330(f239(a102),f330(a3,x63611)),f330(a3,x63612)))+~P108(f330(f330(f239(a928),x63611),x63612)) % 199.45/199.84 [6366]E(x63661,x63662)+~E(f330(f313(a928,a1,f103(a1)),x63661),f330(f313(a928,a1,f103(a1)),x63662)) % 199.45/199.84 [6382]P108(f330(f330(f238(a928),x63821),x63822))+~P108(f330(f330(f238(a928),f330(a115,x63821)),x63822)) % 199.45/199.84 [6385]P108(f330(f330(f239(a928),x63851),x63852))+~P108(f330(f330(f238(a928),f330(a115,x63851)),x63852)) % 199.45/199.84 [6386]P108(f330(f330(f239(a928),x63861),x63862))+~P108(f330(f330(f239(a928),f330(a115,x63861)),x63862)) % 199.45/199.84 [6403]E(f46(a1,x64031,x64032),f2(a1))+E(f330(f330(f23(a1),f46(a1,x64031,x64032)),x64032),f46(a1,x64031,f330(f81(a1),x64032))) % 199.45/199.84 [6469]E(f330(f36(f935(x64691,a923)),f330(f311(x64691),x64692)),f330(f330(f247(a928),f330(a115,f330(a115,f2(a928)))),f330(f36(x64691),x64692)))+~P108(f330(f62(x64691),x64692)) % 199.45/199.84 [6472]E(x64721,f116(x64722))+E(f330(f330(f167(x64722),x64721),f330(f330(f23(a928),f330(f192(f929(x64722)),x64721)),f80(a928))),f147(x64722,x64721)) % 199.45/199.84 [6494]E(x64941,f116(x64942))+E(f330(f330(f137(x64942),f330(f174(x64942),x64941)),f330(f330(f154(x64942),f330(f144(x64942),x64941)),f116(x64942))),f330(f170(x64942),x64941)) % 199.45/199.84 [6524]~P108(f330(f62(x65241),f38(f935(x65241,a923),x65242)))+P108(f330(f62(f935(x65241,a923)),x65242)) % 199.45/199.84 [6546]P108(f330(f330(f238(a928),f330(f106(a928),x65461)),f330(f106(a928),x65462)))+~P108(f330(f330(f238(a1),x65461),a85)) % 199.45/199.84 [6567]~P108(f330(f330(f239(a1),x65671),x65672))+P108(f330(f330(f238(a1),x65671),f330(f330(f23(a1),x65672),f80(a1)))) % 199.45/199.84 [6568]~P108(f330(f330(f238(a1),x65681),x65682))+P108(f330(f330(f239(a1),x65681),f330(f330(f82(a1),x65682),f80(a1)))) % 199.45/199.84 [6569]~P108(f330(f330(f239(a1),x65691),x65692))+P108(f330(f330(f239(a1),x65691),f330(f330(f82(a1),x65692),f80(a1)))) % 199.45/199.84 [6571]~P108(f330(f330(f238(a1),x65711),x65712))+P108(f330(f330(f238(a928),f330(f106(a928),x65711)),f330(f106(a928),x65712))) % 199.45/199.84 [6572]~P108(f330(f330(f238(a1),x65721),x65722))+P108(f330(f330(f238(a1),f330(f106(a1),x65721)),f330(f106(a1),x65722))) % 199.45/199.84 [6574]~P108(f330(f330(f238(a928),x65741),x65742))+P108(f330(f330(f238(a1),f330(f103(a1),x65741)),f330(f103(a1),x65742))) % 199.45/199.84 [6575]~P108(f330(f330(f239(a1),x65751),x65752))+P108(f330(f330(f239(a1),f330(f106(a1),x65751)),f330(f106(a1),x65752))) % 199.45/199.84 [6577]~P108(f330(f330(f239(a928),x65771),x65772))+P108(f330(f330(f239(a1),f330(f103(a1),x65771)),f330(f103(a1),x65772))) % 199.45/199.84 [6598]~P108(f330(f330(f238(a928),x65981),x65982))+~P108(f330(f330(f238(a928),f330(a115,x65982)),x65981)) % 199.45/199.84 [6640]~P108(f330(f330(f238(a928),f330(a115,x66401)),f330(a115,x66402)))+P108(f330(f330(f238(a928),x66401),x66402)) % 199.45/199.84 [6641]~P108(f330(f330(f238(a102),f330(a3,x66411)),f330(a3,x66412)))+P108(f330(f330(f238(a928),x66411),x66412)) % 199.45/199.84 [6642]~P108(f330(f330(f238(a928),f330(a20,x66421)),f330(a20,x66422)))+P108(f330(f330(f238(a102),x66421),x66422)) % 199.45/199.84 [6644]~P108(f330(f330(f239(a928),f330(a115,x66441)),f330(a115,x66442)))+P108(f330(f330(f239(a928),x66441),x66442)) % 199.45/199.84 [6645]~P108(f330(f330(f239(a102),f330(a3,x66451)),f330(a3,x66452)))+P108(f330(f330(f239(a928),x66451),x66452)) % 199.45/199.84 [6646]~P108(f330(f330(f239(a928),f330(a107,x66461)),f330(a107,x66462)))+P108(f330(f330(f239(a1),x66461),x66462)) % 199.45/199.84 [6647]~P108(f330(f330(f239(a928),f330(a20,x66471)),f330(a20,x66472)))+P108(f330(f330(f239(a102),x66471),x66472)) % 199.45/199.84 [6688]~P108(f330(f330(f239(a928),f330(a107,x66882)),f330(a107,x66881)))+P108(f330(f330(f239(a1),f2(a1)),x66881)) % 199.45/199.84 [6721]P108(f330(f330(f238(a1),f2(a1)),f46(a1,x67211,x67212)))+~P108(f330(f330(f239(a1),f2(a1)),x67212)) % 199.45/199.84 [6881]P39(x68811,x68812)+~E(f330(f330(f292(x68811,x68811,x68811),x68812),x68812),f191(f935(f934(x68811,x68811),a923))) % 199.45/199.84 [6895]~P39(x68951,x68952)+P39(x68951,f330(f330(f292(x68951,x68951,x68951),x68952),x68952)) % 199.45/199.84 [6906]P108(f330(f330(f238(a1),x69061),x69062))+~P108(f330(f330(f239(a1),x69061),f330(f330(f82(a1),x69062),f80(a1)))) % 199.45/199.84 [6907]P108(f330(f330(f239(a1),x69071),x69072))+~P108(f330(f330(f238(a1),x69071),f330(f330(f23(a1),x69072),f80(a1)))) % 199.45/199.84 [6910]P108(f330(f330(f238(a928),x69101),x69102))+~P108(f330(f330(f238(a1),f330(f103(a1),x69101)),f330(f103(a1),x69102))) % 199.45/199.84 [6911]P108(f330(f330(f238(a1),x69111),x69112))+~P108(f330(f330(f238(a1),f330(f106(a1),x69111)),f330(f106(a1),x69112))) % 199.45/199.84 [6913]P108(f330(f330(f239(a928),x69131),x69132))+~P108(f330(f330(f239(a1),f330(f103(a1),x69131)),f330(f103(a1),x69132))) % 199.45/199.84 [6914]P108(f330(f330(f239(a1),x69141),x69142))+~P108(f330(f330(f239(a928),f330(f106(a928),x69141)),f330(f106(a928),x69142))) % 199.45/199.84 [6915]P108(f330(f330(f239(a1),x69151),x69152))+~P108(f330(f330(f239(a1),f330(f106(a1),x69151)),f330(f106(a1),x69152))) % 199.45/199.84 [7008]~E(f706(x70082,x70081),f116(x70081))+E(f330(f145(f929(x70081),f929(x70081),f137(x70081),f116(x70081)),x70082),f116(x70081)) % 199.45/199.84 [7009]~E(f711(x70092,x70091),f116(x70091))+E(f330(f145(f929(x70091),f929(x70091),f137(x70091),f116(x70091)),x70092),f116(x70091)) % 199.45/199.84 [7014]~P5(x70141)+E(f330(f145(x70141,x70141,f104(x70141),f245(x70141)),x70142),f39(x70141,f330(f175(x70141),x70142))) % 199.45/199.84 [7015]~P5(x70151)+E(f330(f145(x70151,x70151,f113(x70151),f191(x70151)),x70152),f38(x70151,f330(f175(x70151),x70152))) % 199.45/199.84 [7029]E(x70291,f2(a102))+E(f330(f330(f82(a928),f330(a20,f330(f330(f23(a102),x70291),f80(a102)))),f330(a115,x70292)),f330(f330(f82(a928),f330(a20,x70291)),x70292)) % 199.45/199.84 [7078]P108(f330(f330(f239(a1),f330(f330(f23(a1),x70781),x70782)),f2(a1)))+~P108(f330(f330(f239(a1),x70781),x70782)) % 199.45/199.84 [7103]~P110(x71031)+E(f330(f330(f113(f935(x71031,a923)),f330(f330(f312(x71031),x71032),f191(f935(x71031,a923)))),f330(f307(x71031),x71032)),f330(f286(x71031),x71032)) % 199.45/199.84 [7180]~P62(x71801,x71802)+P39(x71801,f330(f265(f934(x71801,x71801)),f330(f260(x71801,x71801,a923),x71802))) % 199.45/199.84 [7181]~P62(x71811,x71812)+P60(x71811,f330(f265(f934(x71811,x71811)),f330(f260(x71811,x71811,a923),x71812))) % 199.45/199.84 [7182]~P52(x71821,x71822)+P40(x71821,f330(f265(f934(x71821,x71821)),f330(f260(x71821,x71821,a923),x71822))) % 199.45/199.84 [7183]~P53(x71831,x71832)+P54(x71831,f330(f265(f934(x71831,x71831)),f330(f260(x71831,x71831,a923),x71832))) % 199.45/199.84 [7184]E(x71841,f191(f935(x71842,a923)))+~P108(f330(f330(f238(f935(x71842,a923)),x71841),f191(f935(x71842,a923)))) % 199.45/199.84 [7264]~P108(f330(f330(f239(a928),f2(a928)),x72642))+P108(f330(f330(f238(a928),f46(a928,x72641,x72642)),x72642)) % 199.45/199.84 [7265]~P108(f330(f330(f238(a1),f2(a1)),x72651))+P108(f330(f330(f238(a1),f46(a1,x72651,x72652)),x72651)) % 199.45/199.84 [7266]~P108(f330(f330(f239(a928),f2(a928)),x72662))+P108(f330(f330(f239(a928),f46(a928,x72661,x72662)),x72662)) % 199.45/199.84 [7268]~P108(f330(f330(f239(a1),f2(a1)),x72682))+P108(f330(f330(f239(a1),f46(a1,x72681,x72682)),x72682)) % 199.45/199.84 [7346]~P112(x73461)+E(f330(f330(f23(f935(x73461,a923)),f330(f330(f312(x73461),x73462),f191(f935(x73461,a923)))),f330(f285(x73461),x73462)),f330(f330(f312(x73461),x73462),f191(f935(x73461,a923)))) % 199.45/199.84 [7421]~P45(x74211,x74212)+P55(x74211,f245(f935(x74211,a923)),f330(f265(f934(x74211,x74211)),f330(f260(x74211,x74211,a923),x74212))) % 199.45/199.84 [7422]P108(f330(x74221,x74222))+P108(f330(f330(f332(f935(f934(a928,a928),a923)),f580(x74222,x74221)),a101)) % 199.45/199.84 [7467]E(f330(f330(f137(a928),f142(a928,f330(f305(a928,x74671),x74672))),f330(f330(f154(a928),x74672),f116(a928))),f142(a928,f330(f305(a928,x74671),f330(a115,x74672))))+~P108(f330(f330(f238(a928),x74671),x74672)) % 199.45/199.84 [7616]E(x76161,f2(a928))+~E(f330(f145(a928,a928,f82(a928),x76161),x76162),f2(a928)) % 199.45/199.84 [7640]~P108(f330(f330(f239(a1),f330(f330(f23(a1),x76401),x76402)),f2(a1)))+P108(f330(f330(f239(a1),x76401),x76402)) % 199.45/199.84 [7667]P39(x76671,x76672)+~P39(x76671,f330(f330(f292(x76671,x76671,x76671),x76672),x76672)) % 199.45/199.84 [7693]~P108(f330(f330(f238(a928),f330(a115,x76931)),x76932))+P108(f188(a923,a242,f330(f238(a928),x76931),x76932)) % 199.45/199.84 [7847]P25(a928,a928,f330(f330(f7(a928,a928,a928),f23(a928)),x78471),x78472)+P108(f330(f330(f332(a928),f842(x78471,x78472)),x78472)) % 199.45/199.84 [7905]E(f330(f330(f330(f66(a928,x79051,f82(a928)),f330(f16(a928,x79051),f80(a928))),f2(a928)),x79052),f330(f36(x79051),x79052))+~P108(f330(f62(x79051),x79052)) % 199.45/199.84 [7946]P25(a928,a928,f330(f330(f7(a928,a928,a928),f23(a928)),x79461),x79462)+~P108(f330(f330(f238(a928),x79461),f842(x79461,x79462))) % 199.45/199.84 [8001]P39(x80011,x80012)+P108(f330(f330(f238(f935(x80011,a923)),f578(x80012,x80011)),f330(f288(x80011,x80011,x80012),f578(x80012,x80011)))) % 199.45/199.84 [8006]P62(x80061,x80062)+~P39(x80061,f330(f265(f934(x80061,x80061)),f330(f260(x80061,x80061,a923),x80062))) % 199.45/199.84 [8007]P52(x80071,x80072)+~P40(x80071,f330(f265(f934(x80071,x80071)),f330(f260(x80071,x80071,a923),x80072))) % 199.45/199.84 [8008]P53(x80081,x80082)+~P54(x80081,f330(f265(f934(x80081,x80081)),f330(f260(x80081,x80081,a923),x80082))) % 199.45/199.84 [8074]P108(f330(f330(f238(a928),f330(a115,x80741)),x80742))+~P108(f188(a923,a242,f330(f238(a928),x80741),x80742)) % 199.45/199.84 [8131]P108(f330(f330(f332(f934(a928,a928)),f330(f330(f255(a928,a928),x81311),x81312)),f310(a928,a320)))+~P108(f330(f330(f238(a928),x81311),x81312)) % 199.45/199.84 [8227]P45(x82271,x82272)+~P55(x82271,f245(f935(x82271,a923)),f330(f265(f934(x82271,x82271)),f330(f260(x82271,x82271,a923),x82272))) % 199.45/199.84 [8282]~P108(f330(f140(x82821),x82822))+P108(f330(f140(f935(x82821,a923)),f330(f330(f157(f929(x82821),f935(x82821,a923)),f175(x82821)),f55(x82821,x82822)))) % 199.45/199.84 [8481]~P39(x84811,f330(f289(x84811,x84811),x84812))+P39(x84811,f330(f289(x84811,x84811),f330(f330(f292(x84811,x84811,x84811),x84812),f310(x84811,x84812)))) % 199.45/199.84 [8580]P26(x85801,a928,f834(x85802,x85801),x85802,f330(f305(a928,f2(a928)),f330(f36(x85801),x85802)))+~P108(f330(f62(x85801),x85802)) % 199.45/199.84 [8581]P26(a928,x85811,f835(x85812,x85811),f330(f305(a928,f2(a928)),f330(f36(x85811),x85812)),x85812)+~P108(f330(f62(x85811),x85812)) % 199.45/199.84 [8598]P26(a928,x85981,f836(x85982,x85981),f306(a928,f80(a928),f330(f36(x85981),x85982)),x85982)+~P108(f330(f62(x85981),x85982)) % 199.45/199.84 [8607]P108(f330(f62(f934(x86071,x86071)),f330(f330(f292(x86071,x86071,x86071),x86072),f310(x86071,x86072))))+~P108(f330(f62(f934(x86071,x86071)),x86072)) % 199.45/199.84 [8634]E(x86341,f2(a1))+P108(f330(f50(x86342,x86341),f330(f330(f255(a1,a1),f330(f330(f37(a1),x86342),x86341)),f46(a1,x86342,x86341)))) % 199.45/199.84 [8648]~P108(f330(f330(f332(f934(a928,a928)),f330(f330(f255(a928,a928),x86481),x86482)),f310(a928,a320)))+P108(f330(f330(f238(a928),x86481),x86482)) % 199.45/199.84 [8664]~P82(x86641)+E(f330(f145(x86641,x86641,f330(f7(x86641,x86641,x86641),f82(x86641)),f2(x86641)),f330(f171(x86641),x86642)),f330(f145(x86641,x86641,f82(x86641),f2(x86641)),x86642)) % 199.45/199.84 [8834]~P110(x88341)+E(f330(f145(f929(x88341),x88341,f330(f7(x88341,f929(x88341),f929(x88341)),f151(x88341,x88341,f5(x88341))),f116(x88341)),x88342),f153(x88341,x88341,f5(x88341),x88342)) % 199.45/199.84 [8945]~P60(x89451,f330(f265(f934(x89451,x89451)),f330(f260(x89451,x89451,a923),x89452)))+P60(x89451,f330(f265(f934(x89451,x89451)),f330(f260(x89451,x89451,a923),f246(x89451,x89451,x89452)))) % 199.45/199.84 [8959]P108(f330(f330(f332(f934(a928,a928)),f330(f330(f255(a928,a928),x89591),x89592)),f330(f330(f292(a928,a928,a928),a320),f310(a928,a320))))+~P108(f330(f330(f239(a928),x89591),x89592)) % 199.45/199.84 [9005]~P108(f330(f62(f934(x90051,x90051)),f330(f330(f292(x90051,x90051,x90051),x90052),f310(x90051,x90052))))+P108(f330(f62(f934(x90051,x90051)),x90052)) % 199.45/199.84 [9063]~P60(x90631,f330(f265(f934(x90631,x90631)),f330(f260(x90631,x90631,a923),f246(x90631,x90631,x90632))))+P60(x90631,f330(f265(f934(x90631,x90631)),f330(f260(x90631,x90631,a923),x90632))) % 199.45/199.84 [9265]P60(x92651,x92652)+P108(f330(f330(f332(f934(x92651,x92651)),f330(f330(f255(x92651,x92651),f610(x92652,x92651)),f610(x92652,x92651))),f330(f330(f292(x92651,x92651,x92651),x92652),f310(x92651,x92652)))) % 199.45/199.84 [9266]P60(x92661,x92662)+P108(f330(f330(f332(f934(x92661,x92661)),f330(f330(f255(x92661,x92661),f626(x92662,x92661)),f626(x92662,x92661))),f330(f330(f292(x92661,x92661,x92661),x92662),f310(x92661,x92662)))) % 199.45/199.84 [9384]~P108(f330(f330(f332(f934(a928,a928)),f330(f330(f255(a928,a928),x93841),x93842)),f330(f330(f292(a928,a928,a928),a320),f310(a928,a320))))+P108(f330(f330(f239(a928),x93841),x93842)) % 199.45/199.84 [5336]~P95(x53361)+E(f330(f330(f82(x53361),f330(f106(x53361),a85)),x53362),x53362) % 199.45/199.84 [5365]~P3(x53651)+E(f330(f330(f82(x53651),f330(f81(x53651),x53652)),x53652),f2(x53651)) % 199.45/199.84 [5366]~P77(x53661)+E(f330(f330(f82(x53661),f330(f81(x53661),x53662)),x53662),f2(x53661)) % 199.45/199.84 [5367]~P97(x53671)+E(f330(f330(f104(x53671),f330(f81(x53671),x53672)),x53672),f191(x53671)) % 199.45/199.84 [5368]~P97(x53681)+E(f330(f330(f113(x53681),f330(f81(x53681),x53682)),x53682),f245(x53681)) % 199.45/199.84 [5401]~P95(x54011)+E(f330(f330(f83(x54011),f330(f106(x54011),a100)),x54012),f330(f81(x54011),x54012)) % 199.45/199.84 [5563]~P116(x55631)+E(f330(f330(f83(x55631),f330(f81(x55631),f80(x55631))),x55632),f330(f81(x55631),x55632)) % 199.45/199.84 [5608]E(f330(f77(a1),x56081),f80(a1))+~E(f330(f77(a1),f330(f330(f83(a1),x56081),x56082)),f80(a1)) % 199.45/199.84 [5699]~P95(x56991)+E(f330(f330(f82(x56991),f80(x56991)),f330(f106(x56991),x56992)),f330(f106(x56991),f330(f330(f23(a1),x56992),a100))) % 199.45/199.84 [5752]~P110(x57521)+E(f14(x57521,f330(f330(f312(x57521),x57522),f191(f935(x57521,a923)))),x57522) % 199.45/199.84 [5753]~P110(x57531)+E(f15(x57531,f330(f330(f312(x57531),x57532),f191(f935(x57531,a923)))),x57532) % 199.45/199.84 [5754]~P99(x57541)+E(f13(x57541,f330(f330(f312(x57541),x57542),f191(f935(x57541,a923)))),x57542) % 199.45/199.84 [5755]~P99(x57551)+E(f10(x57551,f330(f330(f312(x57551),x57552),f191(f935(x57551,a923)))),x57552) % 199.45/199.84 [5756]~P5(x57561)+E(f39(x57561,f330(f330(f312(x57561),x57562),f191(f935(x57561,a923)))),x57562) % 199.45/199.84 [5757]~P5(x57571)+E(f38(x57571,f330(f330(f312(x57571),x57572),f191(f935(x57571,a923)))),x57572) % 199.45/199.84 [5779]E(f330(f330(f82(a928),x57791),f330(f330(f23(a928),x57792),x57791)),x57792)+P108(f330(f330(f239(a928),x57792),x57791)) % 199.45/199.84 [5816]E(x58161,f116(x58162))+P108(f330(f330(f239(a928),f2(a928)),f330(f192(f929(x58162)),x58161))) % 199.45/199.84 [5941]~P110(x59411)+E(f11(x59411,f236(x59411),f330(f330(f312(x59411),x59412),f191(f935(x59411,a923)))),x59412) % 199.45/199.84 [5942]~P110(x59421)+E(f12(x59421,f237(x59421),f330(f330(f312(x59421),x59422),f191(f935(x59421,a923)))),x59422) % 199.45/199.84 [6003]E(f330(f330(f23(a928),x60031),f330(f330(f23(a928),x60031),x60032)),x60032)+~P108(f330(f330(f238(a928),x60032),x60031)) % 199.45/199.84 [6004]E(f330(f330(f82(a928),x60041),f330(f330(f23(a928),x60042),x60041)),x60042)+~P108(f330(f330(f238(a928),x60041),x60042)) % 199.45/199.84 [6026]E(f46(a928,f330(f330(f23(a928),x60261),x60262),x60262),f46(a928,x60261,x60262))+P108(f330(f330(f239(a928),x60261),x60262)) % 199.45/199.84 [6037]E(f330(f81(a1),f330(f330(f37(a1),x60371),f330(f81(a1),x60372))),f296(x60371,x60372))+P108(f330(f330(f238(a1),f2(a1)),x60372)) % 199.45/199.84 [6039]~E(x60392,f2(a928))+P108(f330(f330(f239(a928),f2(a928)),f330(f330(f247(a928),x60391),x60392))) % 199.45/199.84 [6093]~P95(x60931)+E(f330(f330(f82(x60931),f330(f81(x60931),f80(x60931))),f330(f106(x60931),x60932)),f330(f106(x60931),f330(f330(f82(a1),x60932),a100))) % 199.45/199.84 [6095]E(f330(f330(f247(a928),f330(f106(a928),x60951)),x60952),f330(f330(f247(a928),f2(a928)),x60952))+~P108(f330(a196,f330(f106(a1),x60951))) % 199.45/199.84 [6202]E(f330(f144(a928),f142(a928,f330(f305(a928,x62021),x62022))),x62021)+~P108(f330(f330(f239(a928),x62021),x62022)) % 199.45/199.84 [6218]E(f330(f330(f83(a928),f330(f106(a928),x62181)),f330(f106(a928),x62182)),f330(f106(a928),f330(f330(f83(a1),x62181),x62182)))+P108(f330(f330(f239(a1),x62181),a85)) % 199.45/199.84 [6224]~P128(x62241)+P108(f330(f330(f238(x62241),f2(x62241)),f330(f330(f83(x62241),x62242),x62242))) % 199.45/199.84 [6236]E(f330(f330(f23(a928),f330(a115,x62361)),x62362),f330(a115,f330(f330(f23(a928),x62361),x62362)))+~P108(f330(f330(f238(a928),x62362),x62361)) % 199.45/199.84 [6240]E(f46(a928,f330(f330(f23(a928),x62401),x62402),x62402),f46(a928,x62401,x62402))+~P108(f330(f330(f238(a928),x62402),x62401)) % 199.45/199.84 [6292]E(f330(f330(f247(a928),f330(a107,x62921)),x62922),f330(a107,f330(f330(f247(a1),x62921),x62922)))+~P108(f330(f330(f238(a1),f2(a1)),x62921)) % 199.45/199.84 [6310]P108(f330(f140(x63101),x63102))+P108(f330(f330(f239(a928),f677(x63102,x63101)),f330(f192(f929(x63101)),x63102))) % 199.45/199.84 [6311]P108(f330(f140(x63111),x63112))+P108(f330(f330(f239(a928),f682(x63112,x63111)),f330(f192(f929(x63111)),x63112))) % 199.45/199.84 [6326]~E(x63261,f116(x63262))+~P108(f330(f330(f239(a928),f2(a928)),f330(f192(f929(x63262)),x63261))) % 199.45/199.84 [6337]E(f147(a928,f142(a928,f330(f305(a928,x63371),x63372))),f330(f330(f23(a928),x63372),f80(a928)))+~P108(f330(f330(f239(a928),x63371),x63372)) % 199.45/199.84 [6340]E(f330(f330(f82(a1),x63401),f330(f103(a1),f330(a115,f913(x63402,x63401)))),x63402)+~P108(f330(f330(f239(a1),x63401),x63402)) % 199.45/199.84 [6347]E(x63471,f2(a928))+E(f330(f330(f83(a928),x63472),f330(f330(f247(a928),x63472),f330(f330(f23(a928),x63471),f80(a928)))),f330(f330(f247(a928),x63472),x63471)) % 199.45/199.84 [6376]E(f330(f330(f83(a928),f330(a107,x63761)),f330(a107,x63762)),f330(a107,f330(f330(f83(a1),x63761),x63762)))+~P108(f330(f330(f238(a1),f2(a1)),x63761)) % 199.45/199.84 [6377]E(f330(f330(f37(a928),f330(a107,x63771)),f330(a107,x63772)),f330(a107,f330(f330(f37(a1),x63771),x63772)))+~P108(f330(f330(f238(a1),f2(a1)),x63771)) % 199.45/199.84 [6391]~P114(x63911)+E(f330(f330(f82(x63911),x63912),x63912),f330(f330(f83(x63911),f330(f330(f82(x63911),f80(x63911)),f80(x63911))),x63912)) % 199.45/199.84 [6412]E(f330(f330(f23(a1),f330(f103(a1),x64121)),f330(f103(a1),x64122)),f330(f103(a1),f330(f330(f23(a928),x64121),x64122)))+~P108(f330(f330(f238(a928),x64122),x64121)) % 199.45/199.84 [6414]E(f330(f330(f255(a1,a1),f330(f106(a1),a100)),f330(f330(f82(a1),x64141),x64142)),f51(x64141,x64142))+~P108(f330(f330(f238(a1),x64142),f2(a1))) % 199.45/199.84 [6446]E(f182(x64461,x64462),f116(f929(x64461)))+P108(f330(f330(f332(f929(x64461)),f676(x64462,x64461)),f330(f175(f929(x64461)),x64462))) % 199.45/199.84 [6456]E(f119(a1,f330(f132(a1),x64561),f131(x64562,f330(f330(f82(a1),x64561),f80(a1)))),f131(x64562,x64561))+P108(f330(f330(f239(a1),x64562),x64561)) % 199.45/199.84 [6530]E(f330(f330(f154(a1),x65301),f181(f330(f330(f82(a1),x65301),f80(a1)),x65302)),f181(x65301,x65302))+~P108(f330(f330(f238(a1),x65301),x65302)) % 199.45/199.84 [6570]~P108(f330(f330(f239(a928),x65702),x65701))+P108(f330(f330(f239(a928),f2(a928)),f330(f330(f23(a928),x65701),x65702))) % 199.45/199.84 [6603]~P108(f330(f330(f239(a928),x66031),f330(a107,x66032)))+P108(f330(f330(f239(a1),f330(f103(a1),x66031)),x66032)) % 199.45/199.84 [6631]~P110(x66311)+E(f330(f330(f113(f935(x66311,a923)),f330(f285(x66311),x66312)),f330(f330(f312(x66311),x66312),f191(f935(x66311,a923)))),f330(f304(x66311),x66312)) % 199.45/199.84 [6632]~P108(f330(f330(f238(a1),f2(a1)),x66321))+P108(f330(f330(f238(a1),f2(a1)),f330(f330(f247(a1),x66321),x66322))) % 199.45/199.84 [6635]~P108(f330(f330(f239(a928),f2(a928)),x66351))+P108(f330(f330(f239(a928),f2(a928)),f330(f330(f247(a928),x66351),x66352))) % 199.45/199.84 [6664]~E(f330(x66641,f2(a928)),f2(a928))+E(f330(f330(f6(a928,a928),x66641),f306(a928,f330(a115,f2(a928)),x66642)),f330(f330(f6(a928,a928),x66641),f306(a928,f2(a928),x66642))) % 199.45/199.84 [6729]~P95(x67291)+E(f330(f330(f83(x67291),f330(f330(f82(x67291),f80(x67291)),f80(x67291))),f330(f106(x67291),x67292)),f330(f106(x67291),f330(f330(f82(a1),x67292),x67292))) % 199.45/199.84 [6746]E(f330(f330(f312(a1),x67461),f306(a1,f330(f330(f82(a1),x67461),f80(a1)),x67462)),f306(a1,x67461,x67462))+P108(f330(f330(f239(a1),x67462),x67461)) % 199.45/199.84 [6747]P108(f330(f330(f239(a928),x67471),f330(a107,x67472)))+~P108(f330(f330(f239(a1),f330(f103(a1),x67471)),x67472)) % 199.45/199.84 [6850]E(f330(a107,f330(f330(f37(a1),f330(f106(a1),x68501)),f330(f106(a1),x68502))),f330(f330(f37(a928),f330(f106(a928),x68501)),f330(f106(a928),x68502)))+P108(f330(a196,f330(f106(a1),x68501))) % 199.45/199.84 [6908]P108(f330(f330(f239(a928),x69081),x69082))+~P108(f330(f330(f239(a928),f2(a928)),f330(f330(f23(a928),x69082),x69081))) % 199.45/199.84 [6951]P108(f330(f330(f239(a928),f2(a928)),x69511))+~P108(f330(f330(f239(a928),f2(a928)),f330(f330(f83(a928),x69512),x69511))) % 199.45/199.84 [6952]P108(f330(f330(f239(a928),f2(a928)),x69521))+~P108(f330(f330(f239(a928),f2(a928)),f330(f330(f83(a928),x69521),x69522))) % 199.45/199.84 [6970]~P108(f330(f330(f238(a1),x69701),f2(a1)))+E(f330(f330(f83(a928),f330(a107,f330(f81(a1),x69701))),f330(a107,f330(f81(a1),x69702))),f330(a107,f330(f330(f83(a1),x69701),x69702))) % 199.45/199.84 [7026]~E(x70262,f191(f935(x70261,a923)))+P108(f330(f330(f238(f935(x70261,a923)),x70262),f330(f81(f935(x70261,a923)),x70262))) % 199.45/199.84 [7088]~P95(x70881)+E(f330(f330(f82(x70881),f330(f330(f82(x70881),f2(x70881)),f330(f106(x70881),x70882))),f330(f106(x70881),x70882)),f330(f106(x70881),f330(f330(f82(a1),x70882),x70882))) % 199.45/199.84 [7144]~P108(f330(f330(f239(a1),x71441),x71442))+P108(f330(f330(f238(a1),f330(f330(f82(a1),x71441),f80(a1))),x71442)) % 199.45/199.84 [7211]E(x72111,f2(a928))+~P108(f330(f330(f238(a1),f330(f103(a1),x72112)),f330(f81(a1),f330(f103(a1),x72111)))) % 199.45/199.84 [7212]E(x72121,f2(a928))+~P108(f330(f330(f238(a1),f330(f103(a1),x72121)),f330(f81(a1),f330(f103(a1),x72122)))) % 199.45/199.84 [7314]E(f330(f330(f255(a1,a1),f330(f106(a1),a100)),f330(f330(f82(a1),x73141),x73142)),f51(x73141,x73142))+~P108(f330(f330(f238(a1),f2(a1)),f330(f330(f82(a1),x73141),x73142))) % 199.45/199.84 [7358]~P27(x73581,x73582)+P39(x73581,f330(f254(f935(f934(x73581,x73581),a923),f935(f934(x73581,x73581),a923)),x73582)) % 199.45/199.84 [7377]~P108(f330(f330(f238(a928),f330(a115,f2(a928))),x73771))+P108(f330(f330(f238(a928),f330(a115,f2(a928))),f330(f330(f247(a928),x73771),x73772))) % 199.45/199.84 [7557]~P108(f330(f330(f238(a1),x75571),x75572))+P108(f330(f330(f238(a1),f330(f330(f82(a1),x75571),x75571)),f330(f330(f82(a1),x75572),x75572))) % 199.45/199.84 [7562]~P108(f330(f330(f239(a1),x75621),x75622))+P108(f330(f330(f239(a1),f330(f330(f82(a1),x75621),x75621)),f330(f330(f82(a1),x75622),x75622))) % 199.45/199.84 [7617]~P108(f330(f330(f239(a928),f2(a928)),x76171))+P108(f330(f330(f239(a928),f330(f330(f23(a928),x76171),f330(a115,x76172))),x76171)) % 199.45/199.84 [7649]P108(f330(f330(f238(a928),f330(a115,f2(a928))),x76491))+~P108(f330(f330(f238(a928),f330(a115,f2(a928))),f330(f330(f83(a928),x76492),x76491))) % 199.45/199.84 [7650]P108(f330(f330(f238(a928),f330(a115,f2(a928))),x76501))+~P108(f330(f330(f238(a928),f330(a115,f2(a928))),f330(f330(f83(a928),x76501),x76502))) % 199.45/199.84 [7654]P108(f330(f330(f238(a928),f330(f330(f167(a928),x76541),x76542)),f330(f168(a928),x76541)))+~P108(f330(f330(f239(a928),x76542),f330(f192(f929(a928)),x76541))) % 199.45/199.84 [7692]P108(f330(f330(f239(a1),x76921),x76922))+~P108(f330(f330(f238(a1),f330(f330(f82(a1),x76921),f80(a1))),x76922)) % 199.45/199.84 [7734]P108(f330(f62(x77341),f245(f935(x77341,a923))))+~P108(f330(f62(f935(x77342,x77341)),f245(f935(f935(x77342,x77341),a923)))) % 199.45/199.84 [7735]P108(f330(f62(x77351),f245(f935(x77351,a923))))+~P108(f330(f62(f936(x77352,x77351)),f245(f935(f936(x77352,x77351),a923)))) % 199.45/199.84 [7736]P108(f330(f62(x77361),f245(f935(x77361,a923))))+~P108(f330(f62(f936(x77361,x77362)),f245(f935(f936(x77361,x77362),a923)))) % 199.45/199.84 [7775]E(x77751,f191(f935(x77752,a923)))+~P108(f330(f330(f238(f935(x77752,a923)),x77751),f330(f81(f935(x77752,a923)),x77751))) % 199.45/199.84 [7915]E(f330(f145(f929(x79151),f929(x79151),f137(x79151),f116(x79151)),x79152),f116(x79151))+P108(f330(f330(f332(f929(x79151)),f706(x79152,x79151)),f330(f175(f929(x79151)),x79152))) % 199.45/199.84 [7916]E(f330(f145(f929(x79161),f929(x79161),f137(x79161),f116(x79161)),x79162),f116(x79161))+P108(f330(f330(f332(f929(x79161)),f711(x79162,x79161)),f330(f175(f929(x79161)),x79162))) % 199.45/199.84 [8149]P108(f330(f330(f238(a1),x81491),x81492))+~P108(f330(f330(f238(a1),f330(f330(f82(a1),x81491),x81491)),f330(f330(f82(a1),x81492),x81492))) % 199.45/199.84 [8154]P108(f330(f330(f239(a1),x81541),x81542))+~P108(f330(f330(f239(a1),f330(f330(f82(a1),x81541),x81541)),f330(f330(f82(a1),x81542),x81542))) % 199.45/199.84 [8247]~P114(x82471)+E(f330(f330(f83(x82471),f330(f330(f82(x82471),f80(x82471)),f80(x82471))),f330(f330(f6(a928,x82471),f103(x82471)),f306(a928,f80(a928),x82472))),f330(f330(f83(x82471),f330(f103(x82471),x82472)),f330(f330(f82(x82471),f330(f103(x82471),x82472)),f80(x82471)))) % 199.45/199.84 [8296]P108(f330(f330(f332(a928),x82961),x82962))+~P108(f330(f330(f332(a1),f330(f103(a1),x82961)),f330(f313(a928,a1,f103(a1)),x82962))) % 199.45/199.84 [8453]~P108(f330(f62(x84531),x84532))+E(f330(f313(a928,x84531,f645(x84532,x84531)),f330(f265(a928),f330(f330(f7(a928,a928,a923),f239(a928)),f624(x84532,x84531)))),x84532) % 199.45/199.84 [8732]P56(x87321,x87322)+P108(f330(f330(f332(f934(x87321,x87321)),f330(f330(f255(x87321,x87321),f372(x87322,x87321)),f372(x87322,x87321))),x87322)) % 199.45/199.84 [8733]P40(x87331,x87332)+P108(f330(f330(f332(f934(x87331,x87331)),f330(f330(f255(x87331,x87331),f799(x87332,x87331)),f802(x87332,x87331))),x87332)) % 199.45/199.84 [8734]P40(x87341,x87342)+P108(f330(f330(f332(f934(x87341,x87341)),f330(f330(f255(x87341,x87341),f802(x87342,x87341)),f804(x87342,x87341))),x87342)) % 199.45/199.84 [8735]P41(x87351,x87352)+P108(f330(f330(f332(f934(x87351,x87351)),f330(f330(f255(x87351,x87351),f717(x87352,x87351)),f716(x87352,x87351))),x87352)) % 199.45/199.84 [8736]P41(x87361,x87362)+P108(f330(f330(f332(f934(x87361,x87361)),f330(f330(f255(x87361,x87361),f716(x87362,x87361)),f717(x87362,x87361))),x87362)) % 199.45/199.84 [8737]P54(x87371,x87372)+P108(f330(f330(f332(f934(x87371,x87371)),f330(f330(f255(x87371,x87371),f814(x87372,x87371)),f815(x87372,x87371))),x87372)) % 199.45/199.84 [8877]~P95(x88771)+E(f330(f330(f23(x88771),f80(x88771)),f330(f106(x88771),x88772)),f330(f106(x88771),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f81(a1),x88772)))) % 199.45/199.84 [9002]~P108(f330(f330(f239(f935(a928,a923)),x90021),x90022))+P108(f330(f330(f239(f935(a1,a923)),f330(f313(a928,a1,f103(a1)),x90021)),f330(f313(a928,a1,f103(a1)),x90022))) % 199.45/199.84 [9036]~P108(f330(f330(f239(a1),x90361),x90362))+P108(f330(f330(f238(a1),f330(f330(f23(a1),f330(f330(f82(a1),x90361),x90361)),a100)),f330(f330(f82(a1),x90362),x90362))) % 199.45/199.84 [9038]~P108(f330(f330(f239(a1),x90381),x90382))+P108(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x90381),x90381)),a100)),f330(f330(f82(a1),x90382),x90382))) % 199.45/199.84 [9111]~P108(f330(f330(f332(a928),x91111),f330(f175(a928),x91112)))+P108(f330(f330(f238(a928),x91111),f330(f145(a928,a928,f82(a928),f2(a928)),x91112))) % 199.45/199.84 [9205]P48(x92051,x92052)+~P108(f330(f330(f332(f934(x92051,x92051)),f330(f330(f255(x92051,x92051),f367(x92052,x92051)),f367(x92052,x92051))),x92052)) % 199.45/199.84 [9206]P40(x92061,x92062)+~P108(f330(f330(f332(f934(x92061,x92061)),f330(f330(f255(x92061,x92061),f799(x92062,x92061)),f804(x92062,x92061))),x92062)) % 199.45/199.84 [9207]P54(x92071,x92072)+~P108(f330(f330(f332(f934(x92071,x92071)),f330(f330(f255(x92071,x92071),f815(x92072,x92071)),f814(x92072,x92071))),x92072)) % 199.45/199.84 [9346]~P108(f330(f330(f238(f935(a1,a923)),f330(f313(a928,a1,f103(a1)),x93461)),f330(f313(a928,a1,f103(a1)),x93462)))+P108(f330(f330(f238(f935(a928,a923)),x93461),x93462)) % 199.45/199.84 [9347]~P108(f330(f330(f239(f935(a1,a923)),f330(f313(a928,a1,f103(a1)),x93471)),f330(f313(a928,a1,f103(a1)),x93472)))+P108(f330(f330(f239(f935(a928,a923)),x93471),x93472)) % 199.45/199.84 [9432]P108(f330(f330(f239(a1),x94321),x94322))+~P108(f330(f330(f238(a1),f330(f330(f23(a1),f330(f330(f82(a1),x94321),x94321)),a100)),f330(f330(f82(a1),x94322),x94322))) % 199.45/199.84 [9434]P108(f330(f330(f239(a1),x94341),x94342))+~P108(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x94341),x94341)),a100)),f330(f330(f82(a1),x94342),x94342))) % 199.45/199.84 [10311]~P106(x103111)+E(f119(f929(x103111),f330(f132(f929(x103111)),f116(x103111)),f330(f330(f330(f99(f930(f929(x103111))),f330(f330(f239(a1),f2(a1)),x103112)),f330(f121(f934(x103111,f929(x103111)),f929(x103111),f134(x103111,f929(x103111),f135(x103111,f330(f330(f23(a1),x103112),f80(a1))),f135(f929(x103111),f330(f330(f23(a1),x103112),f80(a1))))),f330(f260(x103111,f929(x103111),f930(f929(x103111))),f330(f330(f8(f935(f929(x103111),f929(x103111)),f935(f929(x103111),f930(f929(x103111))),x103111),f330(f8(f929(x103111),f930(f929(x103111)),f929(x103111)),f132(f929(x103111)))),f154(x103111))))),f118(f929(x103111)))),f135(f929(x103111),x103112)) % 199.45/199.84 [10333]~P108(f330(f62(x103331),x103332))+E(f330(f192(f929(x103331)),f92(f929(x103331),f330(f330(f18(f929(x103331),a923,a923),f330(f330(f8(a923,f935(a923,a923),f929(x103331)),a328),f330(f330(f7(f929(x103331),f935(x103331,a923),a923),f330(f330(f8(f935(x103331,a923),f935(f935(x103331,a923),a923),f929(x103331)),a327),f175(x103331))),x103332))),f140(x103331)))),f218(x103331,x103332)) % 199.45/199.84 [6336]E(f330(f330(f82(a928),f330(f330(f23(a928),x63361),x63362)),x63362),x63361)+~P108(f330(f330(f238(a928),x63362),x63361)) % 199.45/199.84 [6408]E(f330(f330(f37(a928),f330(f330(f83(a928),x64081),x64082)),x64082),x64081)+~P108(f330(f330(f239(a928),f2(a928)),x64082)) % 199.45/199.84 [6409]E(f330(f330(f37(a928),f330(f330(f83(a928),x64091),x64092)),x64091),x64092)+~P108(f330(f330(f239(a928),f2(a928)),x64091)) % 199.45/199.84 [6413]~P76(x64131)+E(f330(f330(f6(a928,x64131),f330(f167(x64131),x64132)),f330(f305(a928,f2(a928)),f330(f192(f929(x64131)),x64132))),f330(f168(x64131),x64132)) % 199.45/199.84 [6522]E(f46(a928,f330(a115,f330(f330(f83(a928),x65221),x65222)),x65221),f80(a928))+~P108(f330(f330(f239(a928),f80(a928)),x65221)) % 199.45/199.84 [6528]E(f330(a115,f330(f330(f82(a928),f330(f106(a928),x65281)),x65282)),f330(f330(f82(a928),f80(a928)),x65282))+~P108(f330(a196,f330(f106(a1),x65281))) % 199.45/199.84 [6557]E(f330(a107,f330(f330(f247(a1),f330(f106(a1),x65571)),x65572)),f330(f330(f247(a928),f330(f106(a928),x65571)),x65572))+P108(f330(a196,f330(f106(a1),x65571))) % 199.45/199.84 [6801]E(f330(f330(f23(a928),x68011),f330(f106(a928),f330(f330(f82(a1),x68012),a100))),f330(f330(f23(a928),f330(a115,x68011)),f330(f106(a928),x68012)))+~P108(f330(f330(f239(a1),a85),x68012)) % 199.45/199.84 [6880]E(x68801,f2(a928))+E(f330(a115,f330(f330(f82(a928),f330(f330(f23(a928),x68801),f80(a928))),x68802)),f330(f330(f82(a928),x68801),x68802)) % 199.45/199.84 [6921]E(x69211,f2(a1))+P108(f330(f330(f239(a1),f2(a1)),f330(f330(f247(a1),f330(f77(a1),x69211)),x69212))) % 199.45/199.84 [6936]~E(x69362,f2(a928))+P108(f330(f330(f239(a1),f2(a1)),f330(f330(f247(a1),f330(f77(a1),x69361)),x69362))) % 199.45/199.84 [6973]E(x69731,f2(a928))+E(f330(f330(f82(a928),x69732),f330(f330(f83(a928),f330(f330(f23(a928),x69731),f80(a928))),x69732)),f330(f330(f83(a928),x69731),x69732)) % 199.45/199.84 [7019]~P108(f330(f330(f238(a1),x70191),x70192))+P108(f330(f330(f239(a1),f330(f330(f82(a1),x70191),a100)),x70192)) % 199.45/199.84 [7148]E(f330(f330(f154(a928),x71481),f142(a928,f330(f305(a928,f330(a115,x71481)),x71482))),f142(a928,f330(f305(a928,x71481),x71482)))+~P108(f330(f330(f239(a928),x71481),x71482)) % 199.45/199.84 [7349]E(x73491,x73492)+~E(f330(f330(f23(a1),f330(f330(f82(a1),x73491),x73491)),a100),f330(f330(f23(a1),f330(f330(f82(a1),x73492),x73492)),a100)) % 199.45/199.84 [7352]E(x73521,f116(x73522))+E(f269(x73522,f330(f330(f157(x73522,f934(a102,x73522)),f330(f255(a102,x73522),f80(a102))),x73521)),f278(x73522,x73521)) % 199.45/199.84 [7588]P108(f330(f330(f238(a1),x75881),x75882))+~P108(f330(f330(f239(a1),f330(f330(f82(a1),x75881),a100)),x75882)) % 199.45/199.84 [8054]~P108(f330(f330(f239(a928),x80541),x80542))+P108(f330(f330(f332(f934(a928,a928)),f330(f330(f255(a928,a928),x80541),x80542)),a243)) % 199.45/199.84 [8273]~P108(f330(f330(f239(a102),f2(a102)),x82731))+P108(f330(f330(f239(a102),f330(f254(a102,f934(a102,a102)),f330(f270(x82731),x82732))),x82731)) % 199.45/199.84 [8534]~P40(x85341,x85342)+P40(x85341,f330(f330(f113(f935(f934(x85341,x85341),a923)),x85342),f310(x85341,f191(f935(f934(x85341,x85341),a923))))) % 199.45/199.84 [8535]~P41(x85351,x85352)+P41(x85351,f330(f330(f113(f935(f934(x85351,x85351),a923)),x85352),f310(x85351,f191(f935(f934(x85351,x85351),a923))))) % 199.45/199.84 [8584]~P86(x85841)+P108(f330(f330(f238(x85841),f330(f77(x85841),f330(f168(x85841),x85842))),f330(f168(x85841),f330(f330(f157(x85841,x85841),f77(x85841)),x85842)))) % 199.45/199.84 [8609]P108(f330(f330(f239(a928),x86091),x86092))+~P108(f330(f330(f332(f934(a928,a928)),f330(f330(f255(a928,a928),x86091),x86092)),a243)) % 199.45/199.84 [8756]E(f330(f330(f255(x87561,x87561),f637(x87562,x87561)),f637(x87562,x87561)),x87562)+~P108(f330(f330(f332(f934(x87561,x87561)),x87562),f310(x87561,f191(f935(f934(x87561,x87561),a923))))) % 199.45/199.84 [8799]E(f330(f305(a928,x87991),f330(f330(f82(a928),x87991),f330(f36(a928),x87992))),x87992)+~P108(f330(f330(f238(f935(a928,a923)),x87992),f330(f305(a928,x87991),f330(f330(f82(a928),x87991),f330(f36(a928),x87992))))) % 199.45/199.84 [9029]P41(x90291,x90292)+~P41(x90291,f330(f330(f113(f935(f934(x90291,x90291),a923)),x90292),f310(x90291,f191(f935(f934(x90291,x90291),a923))))) % 199.45/199.84 [9156]E(f330(f330(f37(a1),f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),x91561),x91561)),a100))),f330(f106(a1),f330(f330(f82(a1),x91562),x91562))),f330(f330(f37(a1),f330(f106(a1),x91561)),f330(f106(a1),x91562)))+~P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),x91562))) % 199.45/199.84 [9250]~P40(x92501,x92502)+P108(f330(f330(f238(f935(f934(x92501,x92501),a923)),f330(f330(f292(x92501,x92501,x92501),x92502),x92502)),x92502)) % 199.45/199.84 [9276]E(f180(f929(x92761),f330(f330(f8(a923,a923,f929(x92761)),a325),f330(f330(f7(f929(x92761),f929(x92761),a923),a327),f116(x92761))),x92762),f182(x92761,f182(x92761,x92762)))+~P13(a928,f330(f171(a928),f330(f330(f157(f929(x92761),a928),f192(f929(x92761))),x92762))) % 199.45/199.84 [9279]E(f330(f330(f37(a1),f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),x92791),x92791)),a100))),f330(f106(a1),f330(f330(f82(a1),x92792),x92792))),f330(f330(f37(a1),f330(f330(f82(a1),f330(f106(a1),x92791)),f80(a1))),f330(f106(a1),x92792)))+P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),x92792))) % 199.45/199.84 [10117]P108(f330(a196,x101172))+E(f330(f330(f88(a1,a928),f330(f330(f23(a1),x101171),x101172)),f330(f330(f18(a1,a928,a928),f330(f330(f7(a1,a928,f935(a928,a928)),f330(f330(f8(a923,f935(a928,f935(a928,a928)),a1),f99(a928)),a196)),f2(a928))),a107)),f330(f330(f23(a928),f330(a107,x101171)),f330(a107,x101172))) % 199.45/199.84 [10125]E(f330(f330(f88(a1,a928),f330(f106(a1),f330(f330(f82(a1),x101251),f330(f81(a1),x101252)))),f330(f330(f18(a1,a928,a928),f330(f330(f7(a1,a928,f935(a928,a928)),f330(f330(f8(a923,f935(a928,f935(a928,a928)),a1),f99(a928)),a196)),f2(a928))),a107)),f330(f330(f23(a928),f330(f106(a928),x101251)),f330(f106(a928),x101252)))+P108(f330(f330(f239(a1),x101252),a85)) % 199.45/199.84 [10126]~P27(x101261,x101262)+P108(f330(f330(f238(f935(f934(x101261,x101261),a923)),f330(f330(f292(x101261,x101261,x101261),f330(f254(f935(f934(x101261,x101261),a923),f935(f934(x101261,x101261),a923)),x101262)),f330(f259(f935(f934(x101261,x101261),a923),f935(f934(x101261,x101261),a923)),x101262))),f330(f254(f935(f934(x101261,x101261),a923),f935(f934(x101261,x101261),a923)),x101262))) % 199.45/199.84 [10182]~E(f330(f36(a928),f330(f265(a928),f330(f330(f18(a928,a923,a923),f330(f330(f8(a923,f935(a923,a923),a928),a328),f330(f330(f7(a928,f935(a928,a923),a923),f332(a928)),x101821))),f330(f330(f7(a928,a928,a923),f239(a928)),f330(a115,x101822))))),f2(a928))+~P108(f330(f330(f332(a928),f2(a928)),x101821)) % 199.45/199.84 [10196]E(f300(a928,f290(a928),f330(f330(f18(a928,f935(a928,a923),f935(a928,a923)),f330(f330(f8(f935(a928,f935(a923,a923)),f935(f935(a928,a923),f935(a928,a923)),a928),f18(a928,a923,a923)),f330(f330(f8(f935(a928,a923),f935(a928,f935(a923,a923)),a928),f330(f8(a923,f935(a923,a923),a928),a328)),f290(a928)))),f330(f330(f8(f935(a928,a923),f935(a928,a923),a928),f330(f8(a923,a923,a928),a325)),f330(f7(a928,a928,a923),f290(a928)))),x101961,x101962),f191(f935(a928,a923)))+P108(f330(f330(f290(a928),x101961),x101962)) % 199.45/199.84 [10197]E(f300(a928,f290(a928),f330(f330(f18(a928,f935(a928,a923),f935(a928,a923)),f330(f330(f8(f935(a928,f935(a923,a923)),f935(f935(a928,a923),f935(a928,a923)),a928),f18(a928,a923,a923)),f330(f330(f8(f935(a928,a923),f935(a928,f935(a923,a923)),a928),f330(f8(a923,f935(a923,a923),a928),a328)),f290(a928)))),f330(f330(f8(f935(a928,a923),f935(a928,a923),a928),f330(f8(a923,a923,a928),a325)),f330(f7(a928,a928,a923),f290(a928)))),x101971,x101972),f191(f935(a928,a923)))+~P108(f330(f330(f290(a928),x101972),x101971)) % 199.45/199.84 [10240]E(f46(a1,f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),x102401),x102401)),a100)),f330(f106(a1),f330(f330(f82(a1),x102402),x102402))),f330(f330(f82(a1),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f46(a1,f330(f106(a1),x102401),f330(f106(a1),x102402)))),f80(a1)))+~P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),x102402))) % 199.45/199.84 [10249]E(f46(a1,f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),x102491),x102491)),a100)),f330(f106(a1),f330(f330(f82(a1),x102492),x102492))),f330(f330(f23(a1),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f46(a1,f330(f330(f82(a1),f330(f106(a1),x102491)),f80(a1)),f330(f106(a1),x102492)))),f80(a1)))+P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),x102492))) % 199.45/199.84 [10300]~P5(x103001)+E(f38(x103001,f330(f265(x103001),f330(f330(f8(f935(x103001,a923),a923,x103001),f90(x103001)),f330(f330(f8(f935(x103001,a923),f935(x103001,a923),x103001),f330(f18(x103001,a923,a923),f330(f330(f8(a923,f935(a923,a923),x103001),a333),f330(f330(f7(x103001,f935(x103001,a923),a923),f332(x103001)),x103002)))),f238(x103001))))),f39(x103001,x103002)) % 199.45/199.84 [10326]~P39(x103261,x103262)+P62(x103261,f330(f330(f7(x103261,f935(f934(x103261,x103261),a923),f935(x103261,a923)),f330(f330(f8(f935(x103261,f935(f935(f934(x103261,x103261),a923),a923)),f935(f935(f934(x103261,x103261),a923),f935(x103261,a923)),x103261),f7(x103261,f935(f934(x103261,x103261),a923),a923)),f330(f330(f8(f935(x103261,f934(x103261,x103261)),f935(x103261,f935(f935(f934(x103261,x103261),a923),a923)),x103261),f330(f8(f934(x103261,x103261),f935(f935(f934(x103261,x103261),a923),a923),x103261),f332(f934(x103261,x103261)))),f255(x103261,x103261)))),x103262)) % 199.45/199.84 [10327]~P8(x103271,f245(f935(x103271,a923)),x103272)+P7(x103271,f330(f330(f7(x103271,f935(f934(x103271,x103271),a923),f935(x103271,a923)),f330(f330(f8(f935(x103271,f935(f935(f934(x103271,x103271),a923),a923)),f935(f935(f934(x103271,x103271),a923),f935(x103271,a923)),x103271),f7(x103271,f935(f934(x103271,x103271),a923),a923)),f330(f330(f8(f935(x103271,f934(x103271,x103271)),f935(x103271,f935(f935(f934(x103271,x103271),a923),a923)),x103271),f330(f8(f934(x103271,x103271),f935(f935(f934(x103271,x103271),a923),a923),x103271),f332(f934(x103271,x103271)))),f255(x103271,x103271)))),x103272)) % 199.45/199.84 [10371]P39(x103711,x103712)+~P62(x103711,f330(f330(f7(x103711,f935(f934(x103711,x103711),a923),f935(x103711,a923)),f330(f330(f8(f935(x103711,f935(f935(f934(x103711,x103711),a923),a923)),f935(f935(f934(x103711,x103711),a923),f935(x103711,a923)),x103711),f7(x103711,f935(f934(x103711,x103711),a923),a923)),f330(f330(f8(f935(x103711,f934(x103711,x103711)),f935(x103711,f935(f935(f934(x103711,x103711),a923),a923)),x103711),f330(f8(f934(x103711,x103711),f935(f935(f934(x103711,x103711),a923),a923),x103711),f332(f934(x103711,x103711)))),f255(x103711,x103711)))),x103712)) % 199.45/199.84 [10372]P8(x103721,f245(f935(x103721,a923)),x103722)+~P7(x103721,f330(f330(f7(x103721,f935(f934(x103721,x103721),a923),f935(x103721,a923)),f330(f330(f8(f935(x103721,f935(f935(f934(x103721,x103721),a923),a923)),f935(f935(f934(x103721,x103721),a923),f935(x103721,a923)),x103721),f7(x103721,f935(f934(x103721,x103721),a923),a923)),f330(f330(f8(f935(x103721,f934(x103721,x103721)),f935(x103721,f935(f935(f934(x103721,x103721),a923),a923)),x103721),f330(f8(f934(x103721,x103721),f935(f935(f934(x103721,x103721),a923),a923),x103721),f332(f934(x103721,x103721)))),f255(x103721,x103721)))),x103722)) % 199.45/199.84 [7537]E(f330(f330(f82(a928),f330(f106(a928),f330(f330(f23(a1),x75371),a100))),x75372),f330(a115,f330(f330(f82(a928),f330(f106(a928),x75371)),x75372)))+P108(f330(a196,f330(f106(a1),x75371))) % 199.45/199.84 [7972]~P95(x79721)+E(f330(f330(f82(x79721),f330(f330(f82(x79721),f80(x79721)),f330(f106(x79721),x79722))),f330(f106(x79721),x79722)),f330(f106(x79721),f330(f330(f23(a1),f330(f330(f82(a1),x79722),x79722)),a100))) % 199.45/199.84 [8611]~P108(f330(f330(f238(a1),x86111),x86112))+P108(f330(f330(f238(a1),f330(f330(f82(a1),x86111),x86111)),f330(f330(f23(a1),f330(f330(f82(a1),x86112),x86112)),a100))) % 199.45/199.84 [8613]~P108(f330(f330(f238(a1),x86131),x86132))+P108(f330(f330(f239(a1),f330(f330(f82(a1),x86131),x86131)),f330(f330(f23(a1),f330(f330(f82(a1),x86132),x86132)),a100))) % 199.45/199.84 [9040]P108(f330(f330(f238(a1),x90401),x90402))+~P108(f330(f330(f238(a1),f330(f330(f82(a1),x90401),x90401)),f330(f330(f23(a1),f330(f330(f82(a1),x90402),x90402)),a100))) % 199.45/199.84 [9042]P108(f330(f330(f238(a1),x90421),x90422))+~P108(f330(f330(f239(a1),f330(f330(f82(a1),x90421),x90421)),f330(f330(f23(a1),f330(f330(f82(a1),x90422),x90422)),a100))) % 199.45/199.84 [9335]~P108(f330(f330(f238(a1),x93351),x93352))+P108(f330(f330(f238(a1),f330(f330(f23(a1),f330(f330(f82(a1),x93351),x93351)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),x93352),x93352)),a100))) % 199.45/199.84 [9337]~P108(f330(f330(f239(a1),x93371),x93372))+P108(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x93371),x93371)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),x93372),x93372)),a100))) % 199.45/199.84 [9604]P108(f330(f330(f238(a1),x96041),x96042))+~P108(f330(f330(f238(a1),f330(f330(f23(a1),f330(f330(f82(a1),x96041),x96041)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),x96042),x96042)),a100))) % 199.45/199.84 [9606]P108(f330(f330(f239(a1),x96061),x96062))+~P108(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x96061),x96061)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),x96062),x96062)),a100))) % 199.45/199.84 [9639]~P108(f330(f62(x96391),x96392))+P108(f330(f62(f935(x96391,a923)),f330(f265(f935(x96391,a923)),f330(f330(f7(f935(x96391,a923),f935(x96391,a923),a923),f238(f935(x96391,a923))),x96392)))) % 199.45/199.84 [9690]~E(f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),x96901),f191(f935(f934(a928,a928),a923)))),f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),x96902),f191(f935(f934(a928,a928),a923)))))+P108(f330(f330(f332(f934(f934(a928,a928),f934(a928,a928))),f330(f330(f255(f934(a928,a928),f934(a928,a928)),x96901),x96902)),a111)) % 199.45/199.84 [9777]E(f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),x97771),f191(f935(f934(a928,a928),a923)))),f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),x97772),f191(f935(f934(a928,a928),a923)))))+~P108(f330(f330(f332(f934(f934(a928,a928),f934(a928,a928))),f330(f330(f255(f934(a928,a928),f934(a928,a928)),x97771),x97772)),a111)) % 199.45/199.84 [9813]P108(f330(f330(f238(a1),f2(a1)),f650(x98131,x98132)))+E(f330(f265(a1),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f238(a1),f2(a1)))),x98131)),f330(f265(a1),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f238(a1),f2(a1)))),x98132))) % 199.45/199.84 [10310]~P5(x103101)+E(f39(x103101,f330(f265(x103101),f330(f330(f8(f935(x103101,a923),a923,x103101),f90(x103101)),f330(f330(f8(f935(x103101,a923),f935(x103101,a923),x103101),f330(f18(x103101,a923,a923),f330(f330(f8(a923,f935(a923,a923),x103101),a333),f330(f330(f7(x103101,f935(x103101,a923),a923),f332(x103101)),x103102)))),f330(f7(x103101,x103101,a923),f238(x103101)))))),f38(x103101,x103102)) % 199.45/199.84 [10332]P108(f330(f330(f332(a928),f2(a928)),x103321))+E(f330(f36(a928),f330(f265(a928),f330(f330(f18(a928,a923,a923),f330(f330(f8(a923,f935(a923,a923),a928),a328),f330(f330(f7(a928,f935(a928,a923),a923),f330(f330(f8(a928,f935(f935(a928,a923),a923),a928),f332(a928)),a115)),x103321))),f330(f330(f7(a928,a928,a923),f239(a928)),x103322)))),f330(f36(a928),f330(f265(a928),f330(f330(f18(a928,a923,a923),f330(f330(f8(a923,f935(a923,a923),a928),a328),f330(f330(f7(a928,f935(a928,a923),a923),f332(a928)),x103321))),f330(f330(f7(a928,a928,a923),f239(a928)),f330(a115,x103322)))))) % 199.45/199.84 [7841]~P95(x78411)+E(f330(f330(f83(x78411),x78412),f330(f106(x78411),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),x78412) % 199.45/199.84 [8101]~P95(x81011)+E(f330(f330(f82(x81011),f330(f106(x81011),x81012)),f80(x81011)),f330(f106(x81011),f330(f330(f82(a1),x81012),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))) % 199.45/199.84 [8245]P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),x82452)))+E(f330(f330(f247(a1),x82451),f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),x82452),x82452)),a100))),f80(a1)) % 199.45/199.84 [9666]~P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),x96662)))+E(f330(f330(f247(a1),x96661),f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),x96662),x96662)),a100))),f330(f330(f88(a1,a1),f330(f330(f247(a1),x96661),f330(f106(a928),x96662))),f330(f330(f18(a1,a1,a1),f330(f330(f8(a1,f935(a1,a1),a1),f83(a1)),f330(f83(a1),x96661))),f5(a1)))) % 199.45/199.84 [10035]~P108(f330(f330(f238(a928),f878(x100352,x100351)),f330(x100351,f878(x100352,x100351))))+P108(f330(f62(a928),f330(f265(a928),f330(f330(f7(a928,a928,a923),f330(f330(f8(a928,f935(a928,a923),a928),f238(a928)),x100351)),x100352)))) % 199.45/199.84 [10172]~P108(f330(f330(f238(a928),f330(f106(a928),x101721)),f330(a115,x101722)))+P108(f330(f330(f88(a1,a923),f330(f106(a1),f330(f330(f82(a1),x101721),a100))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a333),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f7(a1,a928,a923),f330(f330(f8(a928,f935(a928,a923),a1),f238(a928)),a107)),x101722)))) % 199.45/199.84 [10173]~P108(f330(f330(f239(a928),f330(f106(a928),x101731)),f330(a115,x101732)))+P108(f330(f330(f88(a1,a923),f330(f106(a1),f330(f330(f82(a1),x101731),a100))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a333),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f7(a1,a928,a923),f330(f330(f8(a928,f935(a928,a923),a1),f239(a928)),a107)),x101732)))) % 199.45/199.84 [10224]P108(f330(f330(f238(a928),f330(f106(a928),x102241)),f330(a115,x102242)))+~P108(f330(f330(f88(a1,a923),f330(f106(a1),f330(f330(f82(a1),x102241),a100))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a333),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f7(a1,a928,a923),f330(f330(f8(a928,f935(a928,a923),a1),f238(a928)),a107)),x102242)))) % 199.45/199.84 [10225]P108(f330(f330(f239(a928),f330(f106(a928),x102251)),f330(a115,x102252)))+~P108(f330(f330(f88(a1,a923),f330(f106(a1),f330(f330(f82(a1),x102251),a100))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a333),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f7(a1,a928,a923),f330(f330(f8(a928,f935(a928,a923),a1),f239(a928)),a107)),x102252)))) % 199.45/199.84 [10255]~P108(f330(f330(f238(a928),f330(a115,x102552)),f330(f106(a928),x102551)))+P108(f330(f330(f88(a1,a923),f330(f106(a1),f330(f330(f82(a1),x102551),a100))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a333),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f8(a928,a923,a1),f330(f238(a928),x102552)),a107))))) % 199.45/199.84 [10256]~P108(f330(f330(f239(a928),f330(a115,x102562)),f330(f106(a928),x102561)))+P108(f330(f330(f88(a1,a923),f330(f106(a1),f330(f330(f82(a1),x102561),a100))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a333),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f8(a928,a923,a1),f330(f239(a928),x102562)),a107))))) % 199.45/199.84 [10298]P108(f330(f330(f238(a928),f330(a115,x102981)),f330(f106(a928),x102982)))+~P108(f330(f330(f88(a1,a923),f330(f106(a1),f330(f330(f82(a1),x102982),a100))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a333),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f8(a928,a923,a1),f330(f238(a928),x102981)),a107))))) % 199.45/199.84 [10299]P108(f330(f330(f239(a928),f330(a115,x102991)),f330(f106(a928),x102992)))+~P108(f330(f330(f88(a1,a923),f330(f106(a1),f330(f330(f82(a1),x102992),a100))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a333),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f8(a928,a923,a1),f330(f239(a928),x102991)),a107))))) % 199.45/199.84 [10381]~P108(f330(f330(f332(a928),f2(a928)),x103811))+E(f330(a115,f330(f36(a928),f330(f265(a928),f330(f330(f18(a928,a923,a923),f330(f330(f8(a923,f935(a923,a923),a928),a328),f330(f330(f7(a928,f935(a928,a923),a923),f330(f330(f8(a928,f935(f935(a928,a923),a923),a928),f332(a928)),a115)),x103811))),f330(f330(f7(a928,a928,a923),f239(a928)),x103812))))),f330(f36(a928),f330(f265(a928),f330(f330(f18(a928,a923,a923),f330(f330(f8(a923,f935(a923,a923),a928),a328),f330(f330(f7(a928,f935(a928,a923),a923),f332(a928)),x103811))),f330(f330(f7(a928,a928,a923),f239(a928)),f330(a115,x103812)))))) % 199.45/199.84 [8782]~P95(x87821)+E(f330(f330(f83(x87821),f330(f106(x87821),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),x87822),x87822) % 199.45/199.84 [8843]~P95(x88431)+E(f330(f330(f82(x88431),f80(x88431)),f330(f106(x88431),x88432)),f330(f106(x88431),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),x88432))) % 199.45/199.84 [8905]~P95(x89051)+E(f330(f330(f23(x89051),f330(f106(x89051),x89052)),f80(x89051)),f330(f106(x89051),f330(f330(f82(a1),x89052),f330(f81(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 199.45/199.84 [9059]~P108(f330(f330(f239(a928),f330(f106(a928),a85)),x90592))+E(f330(f330(f23(a928),x90591),f330(f330(f23(a928),x90592),f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f23(a928),f330(a115,x90591)),x90592)) % 199.45/199.84 [9708]~P114(x97081)+E(f330(f330(f83(x97081),x97082),x97082),f330(f330(f247(x97081),x97082),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 199.45/199.84 [9709]~P81(x97091)+E(f330(f330(f247(x97091),x97092),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f83(x97091),x97092),x97092)) % 199.45/199.84 [9711]~P95(x97111)+E(f330(f330(f83(x97111),x97112),f330(f106(x97111),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f82(x97111),x97112),x97112)) % 199.45/199.84 [9952]~P121(x99521)+E(f330(f330(f247(x99521),f330(f77(x99521),x99522)),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f247(x99521),x99522),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 199.45/199.84 [9953]~P145(x99531)+E(f330(f330(f247(x99531),f330(f81(x99531),x99532)),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f247(x99531),x99532),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 199.45/199.84 [9949]~P95(x99491)+E(f330(f330(f83(x99491),f330(f106(x99491),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x99492),f330(f330(f82(x99491),x99492),x99492)) % 199.45/199.84 [10068]~P121(x100681)+E(f330(f77(x100681),f330(f330(f247(x100681),x100682),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f247(x100681),x100682),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 199.45/199.84 [10133]~P121(x101331)+P108(f330(f330(f238(x101331),f2(x101331)),f330(f330(f247(x101331),x101332),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 199.45/199.84 [10289]~E(f330(a115,x102892),f330(f106(a928),x102891))+P108(f330(f330(f88(a1,a923),f330(f106(a1),f330(f330(f82(a1),x102891),a100))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a333),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f7(a1,a928,a923),f330(f330(f8(a928,f935(a928,a923),a1),a327),a107)),x102892))))) % 199.45/199.84 [10290]~E(f330(f106(a928),x102901),f330(a115,x102902))+P108(f330(f330(f88(a1,a923),f330(f106(a1),f330(f330(f82(a1),x102901),a100))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a333),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f7(a1,a928,a923),f330(f330(f8(a928,f935(a928,a923),a1),a327),a107)),x102902))))) % 199.45/199.84 [10335]E(f330(a115,x103351),f330(f106(a928),x103352))+~P108(f330(f330(f88(a1,a923),f330(f106(a1),f330(f330(f82(a1),x103352),a100))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a333),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f7(a1,a928,a923),f330(f330(f8(a928,f935(a928,a923),a1),a327),a107)),x103351))))) % 199.45/199.84 [10336]E(f330(f106(a928),x103361),f330(a115,x103362))+~P108(f330(f330(f88(a1,a923),f330(f106(a1),f330(f330(f82(a1),x103361),a100))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a333),f330(f330(f8(a923,a923,a1),a325),a196))),f330(f330(f7(a1,a928,a923),f330(f330(f8(a928,f935(a928,a923),a1),a327),a107)),x103362))))) % 199.45/199.84 [10382]~P15(x103821,x103822)+P108(f330(f330(f332(f935(x103821,a923)),f822(x103822,x103821)),f330(f330(f8(f935(x103821,a923),a923,f935(x103821,a923)),f89(x103821)),f330(f330(f8(f935(x103821,a923),f935(x103821,a923),f935(x103821,a923)),f330(f18(x103821,a923,a923),f330(f330(f8(a923,f935(a923,a923),x103821),a328),f330(f330(f18(x103821,x103821,a923),x103822),f5(x103821))))),f330(f330(f7(f935(x103821,a923),f935(x103821,f935(x103821,a923)),f935(x103821,a923)),f330(f330(f8(f935(f935(x103821,a923),a923),f935(f935(x103821,f935(x103821,a923)),f935(x103821,a923)),f935(x103821,a923)),f8(f935(x103821,a923),a923,x103821)),a327)),x103822))))) % 199.45/199.84 [10131]~P95(x101311)+E(f330(f330(f247(x101311),f330(f106(x101311),a100)),f330(f330(f83(a928),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x101312)),f80(x101311)) % 199.45/199.84 [10132]~P145(x101321)+E(f330(f330(f247(x101321),f330(f81(x101321),f80(x101321))),f330(f330(f83(a928),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x101322)),f80(x101321)) % 199.45/199.84 [10135]~P81(x101351)+E(f330(f330(f247(x101351),x101352),f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))),f330(f330(f83(x101351),f330(f330(f83(x101351),x101352),x101352)),x101352)) % 199.45/199.84 [10315]~P108(f330(f330(f238(a1),f2(a1)),x103152))+E(f46(a1,f330(f330(f82(a1),f80(a1)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103151)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103152)),f330(f330(f82(a1),f80(a1)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f46(a1,x103151,x103152)))) % 199.45/199.84 [10338]~P108(f330(f330(f238(a1),f2(a1)),x103382))+E(f330(f330(f37(a1),f330(f330(f82(a1),f80(a1)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103381))),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103382)),f330(f330(f37(a1),x103381),x103382)) % 199.45/199.84 [10340]~P108(f330(f330(f238(a1),x103402),f2(a1)))+E(f330(f330(f37(a1),f330(f330(f82(a1),f80(a1)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103401))),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103402)),f330(f330(f37(a1),f330(f330(f82(a1),x103401),f80(a1))),x103402)) % 199.45/199.84 [10341]~P108(f330(f330(f238(a1),x103412),f2(a1)))+E(f46(a1,f330(f330(f82(a1),f80(a1)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103411)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103412)),f330(f330(f23(a1),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f46(a1,f330(f330(f82(a1),x103411),f80(a1)),x103412))),f80(a1))) % 199.45/199.84 [10215]~P95(x102151)+E(f330(f330(f247(x102151),f330(f106(x102151),a100)),f330(a115,f330(f330(f83(a928),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102152))),f330(f106(x102151),a100)) % 199.45/199.84 [10217]~P145(x102171)+E(f330(f330(f247(x102171),f330(f81(x102171),f80(x102171))),f330(a115,f330(f330(f83(a928),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102172))),f330(f81(x102171),f80(x102171))) % 199.45/199.84 [5202]P40(x52021,x52022)+~P8(x52021,x52023,x52022) % 199.45/199.84 [5204]P54(x52041,x52042)+~P8(x52041,x52043,x52042) % 199.45/199.84 [5374]~P8(x53741,x53742,x53743)+P55(x53741,x53742,x53743) % 199.45/199.84 [8311]~E(x83112,x83113)+P36(x83111,x83111,a327,x83112,x83113) % 199.45/199.84 [8856]E(x88561,x88562)+~P36(x88563,x88563,a327,x88561,x88562) % 199.45/199.84 [5010]E(f172(x50101,x50102,x50103),f116(x50101))+~E(x50102,f2(a928)) % 199.45/199.84 [5178]~E(f172(x51782,x51781,x51783),f116(x51782))+E(x51781,f2(a928)) % 199.45/199.84 [5379]~P39(x53791,x53793)+P39(x53791,f324(x53791,x53792,x53793)) % 199.45/199.84 [5488]~P31(x54881,x54882,x54883)+P33(a1,x54881,f181(x54882,x54883)) % 199.45/199.84 [5543]P30(x55431,x55432,x55433)+~P30(x55431,f330(a115,x55432),x55433) % 199.45/199.84 [5561]P31(x55611,x55612,x55613)+~P33(a1,x55611,f181(x55612,x55613)) % 199.45/199.84 [5632]~P8(x56321,x56322,x56323)+P8(f929(x56321),f164(x56321,x56322),f161(x56321,x56323)) % 199.45/199.84 [5633]~P55(x56331,x56332,x56333)+P55(f929(x56331),f164(x56331,x56332),f161(x56331,x56333)) % 199.45/199.84 [5744]P57(x57441,x57442,x57443)+~E(f596(x57443,x57442,x57441),f597(x57443,x57442,x57441)) % 199.45/199.84 [5745]P58(x57451,x57452,x57453)+~E(f619(x57453,x57452,x57451),f620(x57453,x57452,x57451)) % 199.45/199.84 [6703]P28(x67031,x67032,x67033)+~P30(x67031,f582(x67033,x67032,x67031),f587(x67033,x67032,x67031)) % 199.45/199.84 [8317]~E(x83172,x83173)+P26(x83171,x83171,f33(x83171),x83172,x83173) % 199.45/199.84 [8864]E(x88641,x88642)+~P26(x88643,x88643,f33(x88643),x88641,x88642) % 199.45/199.84 [4965]~E(f330(f171(x49652),x49651),x49653)+E(x49651,f330(f171(x49652),x49653)) % 199.45/199.84 [4966]~E(x49662,f330(f171(x49661),x49663))+E(f330(f171(x49661),x49662),x49663) % 199.45/199.84 [5016]E(x50161,x50162)+~E(f330(f171(x50163),x50161),f330(f171(x50163),x50162)) % 199.45/199.84 [5228]~P7(x52283,x52281)+P108(f330(f330(x52281,x52282),x52282)) % 199.45/199.84 [5229]~P45(x52293,x52291)+P108(f330(f330(x52291,x52292),x52292)) % 199.45/199.84 [5231]~P62(x52311,x52312)+P108(f330(f318(x52311,x52312),x52313)) % 199.45/199.84 [5295]~P39(x52951,x52952)+P39(f929(x52951),f330(f146(x52951,x52952),x52953)) % 199.45/199.84 [5300]~P108(f330(x53002,x53003))+~E(f330(f265(x53001),x53002),f191(f935(x53001,a923))) % 199.45/199.84 [5301]~P108(f330(x53012,x53013))+~E(f191(f935(x53011,a923)),f330(f265(x53011),x53012)) % 199.45/199.84 [5313]E(x53131,f2(a928))+E(f147(x53132,f172(x53132,x53131,x53133)),x53133) % 199.45/199.84 [5332]~P108(f330(x53321,x53323))+P108(f330(x53321,f92(x53322,x53321))) % 199.45/199.84 [5333]~P108(f330(x53331,x53333))+P108(f330(x53331,f748(x53331,x53332))) % 199.45/199.84 [5345]E(x53451,f2(a928))+E(f330(f144(x53452),f172(x53452,x53451,x53453)),x53453) % 199.45/199.84 [5450]~E(x54502,x54503)+P108(f330(f330(f332(x54501),x54502),f330(a327,x54503))) % 199.45/199.84 [5466]~E(x54662,f2(a928))+E(f330(f175(x54661),f172(x54661,x54662,x54663)),f191(f935(x54661,a923))) % 199.45/199.84 [5510]E(f330(f171(x55101),x55102),f330(f330(f154(x55101),x55103),f116(x55101)))+~E(x55102,f330(f330(f154(x55101),x55103),f116(x55101))) % 199.45/199.84 [5511]~E(x55113,f330(f330(f154(x55111),x55112),f116(x55111)))+E(f330(f330(f154(x55111),x55112),f116(x55111)),f330(f171(x55111),x55113)) % 199.45/199.84 [5557]~P35(x55571,x55572,x55573)+P35(x55571,x55572,f330(f171(x55571),x55573)) % 199.45/199.84 [5558]~P33(x55581,x55582,x55583)+P33(x55581,x55582,f330(f171(x55581),x55583)) % 199.45/199.84 [5562]E(f330(f36(x55621),f829(x55622,x55623,x55621)),x55622)+~E(f330(f36(x55621),x55623),f330(a115,x55622)) % 199.45/199.84 [5569]~P39(x55691,x55693)+P108(f330(f330(f332(x55691),x55692),f319(x55691,x55693))) % 199.45/199.84 [5573]~E(f330(f171(x55732),x55731),f330(f330(f154(x55732),x55733),f116(x55732)))+E(x55731,f330(f330(f154(x55732),x55733),f116(x55732))) % 199.45/199.84 [5574]~E(f330(f330(f154(x55742),x55743),f116(x55742)),f330(f171(x55742),x55741))+E(x55741,f330(f330(f154(x55742),x55743),f116(x55742))) % 199.45/199.84 [5597]E(f87(f934(a928,a928),f49(x55971,x55972)),x55973)+~P108(f330(f49(x55971,x55972),x55973)) % 199.45/199.84 [5636]P35(x56361,x56362,x56363)+~P35(x56361,x56362,f330(f171(x56361),x56363)) % 199.45/199.84 [5637]P33(x56371,x56372,x56373)+~P33(x56371,x56372,f330(f171(x56371),x56373)) % 199.45/199.84 [5675]P108(f330(f330(x56751,x56752),x56752))+~P108(f330(f273(x56753,x56751),x56752)) % 199.45/199.84 [5676]~P108(f330(f330(x56762,x56763),x56763))+P108(f330(f273(x56761,x56762),x56763)) % 199.45/199.84 [5698]~E(x56982,f116(x56981))+P108(f330(f330(f332(f929(x56981)),x56982),f164(x56981,x56983))) % 199.45/199.84 [5707]~P55(x57071,x57072,x57073)+P55(x57071,x57072,f330(f289(x57071,x57071),x57073)) % 199.45/199.84 [5708]~P58(x57081,x57082,x57083)+P58(x57081,x57082,f330(f289(x57081,x57081),x57083)) % 199.45/199.84 [5725]~P63(x57251)+E(f46(x57251,f46(x57251,x57252,x57253),x57253),f46(x57251,x57252,x57253)) % 199.45/199.84 [5827]E(x58271,x58272)+~P108(f330(f330(f332(x58273),x58271),f330(a327,x58272))) % 199.45/199.84 [5873]~P148(x58731)+E(f193(x58731,x58732,f2(a928),x58733),x58733) % 199.45/199.84 [5895]P55(x58951,x58952,x58953)+~P55(x58951,x58952,f330(f289(x58951,x58951),x58953)) % 199.45/199.84 [5896]P58(x58961,x58962,x58963)+~P58(x58961,x58962,f330(f289(x58961,x58961),x58963)) % 199.45/199.84 [5900]~P110(x59002)+E(f153(x59001,x59002,x59003,f116(x59001)),f116(x59001)) % 199.45/199.84 [5912]E(f173(x59121,x59122,f155(x59121,x59123)),f155(x59121,f173(x59121,x59122,x59123)))+~P108(f330(f140(x59121),x59123)) % 199.45/199.84 [6011]~P108(f330(f330(x60113,x60112),x60112))+P108(f330(f330(f332(x60111),x60112),f273(x60111,x60113))) % 199.45/199.84 [6013]E(f330(f139(x60131,x60132),x60133),f116(x60131))+P108(f330(x60132,f712(x60133,x60132,x60131))) % 199.45/199.84 [6072]E(f69(x60721,x60722,x60723),x60722)+P108(f330(x60723,f749(x60722,x60721,x60723))) % 199.45/199.84 [6168]~P108(f330(f140(x61681),x61682))+P108(f330(f140(x61681),f179(x61681,x61682,x61683))) % 199.45/199.84 [6169]~P108(f330(f140(x61691),x61693))+P108(f330(f140(x61691),f173(x61691,x61692,x61693))) % 199.45/199.84 [6170]~P108(f330(f140(x61701),x61703))+P108(f330(f140(x61701),f180(x61701,x61702,x61703))) % 199.45/199.84 [6171]~P108(f330(f140(x61711),x61713))+P108(f330(f140(x61711),f143(x61711,x61712,x61713))) % 199.45/199.84 [6172]~P150(x61721,x61722,x61723)+P108(f330(x61721,f46(a1,x61722,x61723))) % 199.45/199.84 [6188]~P35(x61883,x61881,x61882)+P108(f330(x61881,f762(x61882,x61881,x61883))) % 199.45/199.84 [6189]~P37(x61893,x61891,x61892)+P108(f330(x61891,f768(x61892,x61891,x61893))) % 199.45/199.84 [6190]~P37(x61903,x61901,x61902)+P108(f330(x61901,f778(x61902,x61901,x61903))) % 199.45/199.84 [6191]~P35(x61913,x61911,x61912)+P108(f330(x61911,f806(x61912,x61911,x61913))) % 199.45/199.84 [6192]~P35(x61923,x61921,x61922)+P108(f330(x61921,f807(x61921,x61922,x61923))) % 199.45/199.84 [6197]P108(f330(f330(x61971,x61972),x61972))+~P108(f330(f330(f332(x61973),x61972),f273(x61973,x61971))) % 199.45/199.84 [6212]E(f330(f139(x62121,x62122),x62123),f180(x62121,x62122,x62123))+P108(f330(x62122,f733(x62123,x62122,x62121))) % 199.45/199.84 [6252]~P108(f330(f140(x62521),x62523))+P108(f330(f140(f929(x62521)),f56(x62521,x62522,x62523))) % 199.45/199.84 [6286]~P112(x62861)+E(f330(f330(f104(f935(x62861,a923)),f330(f285(x62861),x62862)),f306(x62861,x62862,x62863)),f191(f935(x62861,a923))) % 199.45/199.84 [6287]~P112(x62871)+E(f330(f330(f104(f935(x62871,a923)),f330(f304(x62871),x62872)),f309(x62871,x62872,x62873)),f191(f935(x62871,a923))) % 199.45/199.84 [6288]~P112(x62881)+E(f330(f330(f104(f935(x62881,a923)),f330(f304(x62881),x62882)),f308(x62881,x62882,x62883)),f191(f935(x62881,a923))) % 199.45/199.84 [6518]E(f330(f139(x65181,x65182),x65183),x65183)+~P108(f330(x65182,f713(x65183,x65182,x65181))) % 199.45/199.84 [6520]E(f330(f330(f312(x65201),f883(x65202,x65203,x65201)),f829(x65202,x65203,x65201)),x65203)+~E(f330(f36(x65201),x65203),f330(a115,x65202)) % 199.45/199.84 [6535]P150(x65351,x65352,x65353)+~P108(f330(x65351,f46(a1,x65352,x65353))) % 199.45/199.84 [6585]P33(x65851,x65852,x65853)+~P108(f330(x65852,f769(x65853,x65852,x65851))) % 199.45/199.84 [6586]P33(x65861,x65862,x65863)+~P108(f330(x65862,f776(x65862,x65863,x65861))) % 199.45/199.84 [6587]P33(x65871,x65872,x65873)+~P108(f330(x65872,f777(x65873,x65872,x65871))) % 199.45/199.84 [6588]P31(x65881,x65882,x65883)+~P108(f330(x65881,f795(x65883,x65882,x65881))) % 199.45/199.84 [6589]P32(x65891,x65892,x65893)+~P108(f330(x65891,f841(x65893,x65892,x65891))) % 199.45/199.84 [6591]E(f180(x65911,x65912,x65913),x65913)+~P108(f330(x65912,f728(x65913,x65912,x65911))) % 199.45/199.84 [6671]~P108(f330(x66712,f569(x66713,x66712,x66711)))+P108(f330(f251(x66711,x66712),x66713)) % 199.45/199.84 [6672]~P108(f330(x66722,f702(x66723,x66722,x66721)))+P108(f330(f163(x66721,x66722),x66723)) % 199.45/199.84 [6922]~P108(f330(f318(x69221,x69222),f362(x69223,x69222,x69221)))+P108(f330(f318(x69221,x69222),x69223)) % 199.45/199.84 [6923]~P108(f330(f318(x69231,x69232),f370(x69233,x69232,x69231)))+P108(f330(f318(x69231,x69232),x69233)) % 199.45/199.84 [7538]~P63(x75381)+E(f330(f330(f82(x75381),f330(f330(f83(x75381),x75382),f330(f330(f37(x75381),x75383),x75382))),f46(x75381,x75383,x75382)),x75383) % 199.45/199.84 [7568]P31(x75681,x75682,x75683)+P108(f330(f330(f332(a1),f795(x75683,x75682,x75681)),f306(a1,x75682,x75683))) % 199.45/199.84 [7993]E(f330(f330(f255(x79931,x79931),f414(x79932,x79933,x79931)),f414(x79932,x79933,x79931)),x79933)+~P108(f330(f330(f332(f934(x79931,x79931)),x79933),f266(x79931,x79932))) % 199.45/199.84 [8109]~P108(f330(f330(f332(x81091),f494(x81093,x81092,x81091)),f319(x81091,x81093)))+P108(f330(f330(f332(x81091),x81092),f319(x81091,x81093))) % 199.45/199.84 [8110]~P108(f330(f330(f332(x81101),f600(x81103,x81102,x81101)),f319(x81101,x81103)))+P108(f330(f330(f332(x81101),x81102),f319(x81101,x81103))) % 199.45/199.84 [8111]~P108(f330(f330(f332(x81111),f602(x81113,x81112,x81111)),f319(x81111,x81113)))+P108(f330(f330(f332(x81111),x81112),f319(x81111,x81113))) % 199.45/199.84 [8204]P35(a1,x82041,f181(x82042,x82043))+P31(f330(f74(a923,a923,a1,a325),x82041),x82042,x82043) % 199.45/199.84 [8292]~P63(x82921)+E(f330(f330(f82(x82921),f330(f330(f83(x82921),f330(f330(f37(x82921),x82922),x82923)),x82923)),f46(x82921,x82922,x82923)),x82922) % 199.45/199.84 [8338]~E(f330(f36(x83381),x83382),f330(a115,x83383))+~P108(f330(f330(f332(x83381),f883(x83383,x83382,x83381)),f829(x83383,x83382,x83381))) % 199.45/199.84 [8774]~P35(a1,x87741,f181(x87742,x87743))+~P31(f330(f74(a923,a923,a1,a325),x87741),x87742,x87743) % 199.45/199.84 [8961]P108(f330(f330(f238(f935(f934(x89611,x89611),a923)),f310(x89611,x89612)),f310(x89611,x89613)))+~P108(f330(f330(f238(f935(f934(x89611,x89611),a923)),x89612),f310(x89611,x89613))) % 199.45/199.84 [9246]E(x92461,f116(x92462))+~P108(f330(f330(f332(f934(f929(x92462),f929(x92462))),f330(f330(f255(f929(x92462),f929(x92462)),x92461),f116(x92462))),f161(x92462,x92463))) % 199.45/199.84 [9270]E(x92701,f116(x92702))+~P108(f330(f330(f332(f934(f929(x92702),f929(x92702))),f330(f330(f255(f929(x92702),f929(x92702)),f116(x92702)),x92701)),f161(x92702,x92703))) % 199.45/199.84 [9396]E(f330(f330(f154(x93961),f700(x93962,x93963,x93961)),f701(x93962,x93963,x93961)),x93963)+~P108(f330(f330(f332(f934(f929(x93961),f929(x93961))),f330(f330(f255(f929(x93961),f929(x93961)),f116(x93961)),x93963)),f150(x93961,x93962))) % 199.45/199.84 [9632]~P128(x96321)+~P108(f330(f330(f239(x96321),f330(f330(f82(x96321),f330(f330(f83(x96321),x96322),x96322)),f330(f330(f83(x96321),x96323),x96323))),f2(x96321))) % 199.45/199.84 [9683]P108(f330(f62(x96831),x96832))+~P108(f330(f330(f332(f934(f935(x96831,a923),f935(x96831,a923))),f330(f330(f255(f935(x96831,a923),f935(x96831,a923)),x96833),x96832)),f317(x96831))) % 199.45/199.84 [9978]~P49(x99781,x99782,x99783)+P108(f330(f330(f238(a1),f330(f330(f74(f934(a1,a1),a1,x99781,f254(a1,a1)),f216(x99781)),f234(x99781,x99782,f231(x99781,x99783)))),f2(a1))) % 199.45/199.84 [9979]~P50(x99791,x99792,x99793)+P108(f330(f330(f239(a1),f330(f330(f74(f934(a1,a1),a1,x99791,f254(a1,a1)),f216(x99791)),f234(x99791,x99792,f231(x99791,x99793)))),f2(a1))) % 199.45/199.84 [10099]P50(x100991,x100992,x100993)+~P108(f330(f330(f239(a1),f330(f330(f74(f934(a1,a1),a1,x100991,f254(a1,a1)),f216(x100991)),f234(x100991,x100992,f231(x100991,x100993)))),f2(a1))) % 199.45/199.84 [10100]P49(x101001,x101002,x101003)+~P108(f330(f330(f238(a1),f330(f330(f74(f934(a1,a1),a1,x101001,f254(a1,a1)),f216(x101001)),f234(x101001,x101002,f231(x101001,x101003)))),f2(a1))) % 199.45/199.84 [10442]~P121(x104421)+~P108(f330(f330(f239(x104421),f330(f330(f82(x104421),f330(f330(f247(x104421),x104422),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f247(x104421),x104423),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))),f2(x104421))) % 199.45/199.84 [4995]~E(x49953,f116(x49951))+E(f330(f330(f137(x49951),x49952),x49953),x49952) % 199.45/199.84 [4996]~E(x49962,f116(x49961))+E(f330(f330(f137(x49961),x49962),x49963),x49963) % 199.45/199.84 [5002]~E(x50022,f2(a928))+E(f330(f330(f178(x50021),x50022),x50023),f116(x50021)) % 199.45/199.84 [5011]~E(x50113,f116(x50111))+E(f330(f330(f178(x50111),x50112),x50113),f116(x50111)) % 199.45/199.84 [5050]~E(x50501,x50503)+E(x50501,f330(f330(f137(x50502),f116(x50502)),x50503)) % 199.45/199.84 [5141]~P1(x51412)+E(f330(f191(f935(x51411,x51412)),x51413),f191(x51412)) % 199.45/199.84 [5142]~P118(x51422)+E(f330(f245(f935(x51421,x51422)),x51423),f245(x51422)) % 199.45/199.84 [5160]E(x51601,f116(x51602))+~E(f330(f330(f137(x51602),x51603),x51601),x51603) % 199.45/199.84 [5161]E(x51611,f116(x51612))+~E(f330(f330(f137(x51612),x51611),x51613),x51613) % 199.45/199.84 [5169]E(x51691,f116(x51692))+~E(f330(f330(f137(x51692),x51693),x51691),f116(x51692)) % 199.45/199.84 [5170]E(x51701,f116(x51702))+~E(f330(f330(f137(x51702),x51701),x51703),f116(x51702)) % 199.45/199.84 [5195]~E(x51952,f2(a928))+E(f330(f330(f83(a928),x51951),x51952),f330(f330(f83(a928),x51953),x51952)) % 199.45/199.84 [5197]~E(x51971,f2(a928))+E(f330(f330(f83(a928),x51971),x51972),f330(f330(f83(a928),x51971),x51973)) % 199.45/199.84 [5254]~P114(x52541)+E(f330(f330(f83(x52541),x52542),x52543),f330(f330(f83(x52541),x52543),x52542)) % 199.45/199.84 [5255]~P114(x52551)+E(f330(f330(f82(x52551),x52552),x52553),f330(f330(f82(x52551),x52553),x52552)) % 199.45/199.84 [5257]~P110(x52571)+E(f330(f330(f236(x52571),x52572),x52573),f330(f330(f236(x52571),x52573),x52572)) % 199.45/199.84 [5259]~P110(x52591)+E(f330(f330(f237(x52591),x52592),x52593),f330(f330(f237(x52591),x52593),x52592)) % 199.45/199.84 [5260]~P99(x52601)+E(f330(f330(f104(x52601),x52602),x52603),f330(f330(f104(x52601),x52603),x52602)) % 199.45/199.84 [5262]~P104(x52621)+E(f330(f330(f104(x52621),x52622),x52623),f330(f330(f104(x52621),x52623),x52622)) % 199.45/199.84 [5263]~P99(x52631)+E(f330(f330(f113(x52631),x52632),x52633),f330(f330(f113(x52631),x52633),x52632)) % 199.45/199.84 [5265]~P105(x52651)+E(f330(f330(f113(x52651),x52652),x52653),f330(f330(f113(x52651),x52653),x52652)) % 199.45/199.84 [5327]E(f46(a928,x53271,x53272),f2(a928))+~E(x53271,f330(f330(f83(a928),x53272),x53273)) % 199.45/199.84 [5328]E(f46(a1,x53281,x53282),f2(a1))+~E(x53281,f330(f330(f83(a1),x53282),x53283)) % 199.45/199.84 [5391]E(x53911,x53912)+~E(f330(f330(f82(a928),x53913),x53911),f330(f330(f82(a928),x53913),x53912)) % 199.45/199.84 [5392]E(x53921,x53922)+~E(f330(f330(f82(a928),x53921),x53923),f330(f330(f82(a928),x53922),x53923)) % 199.45/199.84 [5402]~P3(x54021)+E(f330(f330(f82(x54021),x54022),f330(f81(x54021),x54023)),f330(f330(f23(x54021),x54022),x54023)) % 199.45/199.84 [5403]~P77(x54031)+E(f330(f330(f82(x54031),x54032),f330(f81(x54031),x54033)),f330(f330(f23(x54031),x54032),x54033)) % 199.45/199.84 [5404]~P116(x54041)+E(f330(f330(f82(x54041),x54042),f330(f81(x54041),x54043)),f330(f330(f23(x54041),x54042),x54043)) % 199.45/199.84 [5405]~P97(x54051)+E(f330(f330(f104(x54051),x54052),f330(f81(x54051),x54053)),f330(f330(f23(x54051),x54052),x54053)) % 199.45/199.84 [5406]~P77(x54061)+E(f330(f330(f23(x54061),x54062),f330(f81(x54061),x54063)),f330(f330(f82(x54061),x54062),x54063)) % 199.45/199.84 [5444]~P108(f330(x54443,x54442))+P108(f330(f330(f332(x54441),x54442),x54443)) % 199.45/199.84 [5446]~P72(x54462)+E(f330(f330(f9(x54461,x54462),x54463),f191(f935(x54461,a923))),f80(x54462)) % 199.45/199.84 [5448]~P76(x54482)+E(f330(f330(f6(x54481,x54482),x54483),f191(f935(x54481,a923))),f2(x54482)) % 199.45/199.84 [5500]~E(x55002,f330(f330(f82(a928),x55001),x55003))+P108(f330(f330(f238(a928),x55001),x55002)) % 199.45/199.84 [5503]~E(x55032,f191(f935(x55031,a923)))+E(f330(f330(f61(x55031),x55032),x55033),f191(f935(f935(x55031,a923),a923))) % 199.45/199.84 [5504]~E(x55042,f191(f935(x55041,a923)))+E(f191(f935(f935(x55041,a923),a923)),f330(f330(f61(x55041),x55042),x55043)) % 199.45/199.84 [5577]~E(f330(f287(x55772,x55773),x55771),f191(f935(x55773,a923)))+E(x55771,f191(f935(f934(x55772,x55773),a923))) % 199.45/199.84 [5578]~E(f330(f267(x55782,x55783),x55781),f191(f935(x55782,a923)))+E(x55781,f191(f935(f934(x55782,x55783),a923))) % 199.45/199.84 [5610]E(f330(f287(x56101,x56102),x56103),f191(f935(x56102,a923)))+~E(x56103,f191(f935(f934(x56101,x56102),a923))) % 199.45/199.84 [5611]E(f330(f267(x56111,x56112),x56113),f191(f935(x56111,a923)))+~E(x56113,f191(f935(f934(x56111,x56112),a923))) % 199.45/199.84 [5614]E(f277(x56141,x56142,x56143),f330(f330(f23(a102),x56142),x56143))+P108(f330(f330(f239(a102),x56142),x56143)) % 199.45/199.84 [5630]P108(f330(x56301,x56302))+~P108(f330(f330(f332(x56303),x56302),x56301)) % 199.45/199.84 [5668]E(x56681,x56682)+~E(f330(f81(f935(x56683,a923)),x56681),f330(f81(f935(x56683,a923)),x56682)) % 199.45/199.84 [5679]~E(x56791,f191(f935(x56792,a923)))+~P108(f330(f330(f332(x56792),x56793),x56791)) % 199.45/199.84 [5709]~E(x57092,f330(f330(f82(a1),x57091),f330(f103(a1),x57093)))+P108(f330(f330(f238(a1),x57091),x57092)) % 199.45/199.84 [5723]E(f330(f330(f312(x57231),x57232),x57233),x57233)+~P108(f330(f330(f332(x57231),x57232),x57233)) % 199.45/199.84 [5734]E(x57341,f191(f935(x57342,a923)))+~E(f330(f330(f61(x57342),x57341),x57343),f191(f935(f935(x57342,a923),a923))) % 199.45/199.84 [5735]E(x57351,f191(f935(x57352,a923)))+~E(f191(f935(f935(x57352,a923),a923)),f330(f330(f61(x57352),x57351),x57353)) % 199.45/199.84 [5742]~P132(x57421)+E(f330(f330(f83(x57421),f330(f81(x57421),x57422)),f330(f81(x57421),x57423)),f330(f330(f83(x57421),x57422),x57423)) % 199.45/199.84 [5743]~P66(x57431)+E(f330(f330(f294(x57431),f330(f81(x57431),x57432)),f330(f81(x57431),x57433)),f330(f330(f294(x57431),x57432),x57433)) % 199.45/199.84 [5775]~P108(f330(x57753,x57752))+P108(f330(f330(f332(x57751),x57752),f330(f265(x57751),x57753))) % 199.45/199.84 [5800]E(x58001,f2(a928))+E(f330(f175(x58002),f172(x58002,x58001,x58003)),f330(f330(f312(x58002),x58003),f191(f935(x58002,a923)))) % 199.45/199.84 [5820]E(f173(x58201,x58202,x58203),x58203)+P108(f330(f330(f332(x58201),x58202),f330(f175(x58201),x58203))) % 199.45/199.84 [5904]~P108(f330(f140(x59041),x59043))+P108(f330(f140(x59041),f330(f139(x59041,x59042),x59043))) % 199.45/199.84 [5947]~P63(x59471)+E(f330(f330(f37(x59471),f46(x59471,x59472,x59473)),x59473),f2(x59471)) % 199.45/199.84 [5966]E(f179(x59661,f330(f330(f154(x59661),x59662),f116(x59661)),x59663),f116(x59661))+P108(f330(f330(f332(a928),f2(a928)),x59663)) % 199.45/199.84 [5972]E(x59721,f2(a928))+E(f330(f174(x59722),f172(x59722,x59721,x59723)),f172(x59722,f330(f330(f23(a928),x59721),f80(a928)),x59723)) % 199.45/199.84 [6023]E(f330(f330(f154(x60231),x60232),x60233),f143(x60231,x60232,x60233))+P108(f330(f330(f332(x60231),x60232),f330(f175(x60231),x60233))) % 199.45/199.84 [6032]E(x60321,x60322)+~E(f330(f330(f83(a928),f330(a115,x60323)),x60321),f330(f330(f83(a928),f330(a115,x60323)),x60322)) % 199.45/199.84 [6033]~E(x60332,f330(f330(f82(a1),x60331),f330(f103(a1),f330(a115,x60333))))+P108(f330(f330(f239(a1),x60331),x60332)) % 199.45/199.84 [6094]~P32(x60941,x60942,x60943)+P33(a928,x60941,f142(a928,f330(f305(a928,x60942),x60943))) % 199.45/199.84 [6147]~E(x61473,f116(x61471))+E(f330(f330(f330(f186(f929(x61471),f929(x61471)),x61472),f170(x61471)),x61473),f116(x61471)) % 199.45/199.84 [6151]P108(f330(x61511,x61512))+~P108(f330(f330(f332(x61513),x61512),f330(f265(x61513),x61511))) % 199.45/199.84 [6183]E(x61831,x61832)+~E(f330(f330(f312(x61833),x61831),f191(f935(x61833,a923))),f330(f330(f312(x61833),x61832),f191(f935(x61833,a923)))) % 199.45/199.84 [6199]~P112(x61991)+E(f330(f330(f104(f935(x61991,a923)),f330(f285(x61991),x61992)),f330(f305(x61991,x61992),x61993)),f191(f935(x61991,a923))) % 199.45/199.84 [6238]E(f143(x62381,x62382,x62383),x62383)+~P108(f330(f330(f332(x62381),x62382),f330(f175(x62381),x62383))) % 199.45/199.84 [6260]~P80(x62601)+E(f330(f313(x62601,x62601,f81(x62601)),f330(f305(x62601,x62602),x62603)),f308(x62601,f330(f81(x62601),x62603),f330(f81(x62601),x62602))) % 199.45/199.84 [6271]E(f330(f192(f929(x62711)),f173(x62711,x62712,x62713)),f330(f192(f929(x62711)),x62713))+P108(f330(f330(f332(x62711),x62712),f330(f175(x62711),x62713))) % 199.45/199.84 [6325]~P112(x63251)+E(f330(f330(f104(f935(x63251,a923)),f330(f305(x63251,x63252),x63253)),f330(f286(x63251),x63253)),f191(f935(x63251,a923))) % 199.45/199.84 [6345]~P80(x63451)+E(f330(f313(x63451,x63451,f81(x63451)),f309(x63451,x63452,x63453)),f309(x63451,f330(f81(x63451),x63453),f330(f81(x63451),x63452))) % 199.45/199.84 [6346]~P80(x63461)+E(f330(f313(x63461,x63461,f81(x63461)),f306(x63461,x63462,x63463)),f306(x63461,f330(f81(x63461),x63463),f330(f81(x63461),x63462))) % 199.45/199.84 [6410]E(f179(x64101,f330(f330(f154(x64101),x64102),f116(x64101)),x64103),f330(f330(f154(x64101),x64102),f116(x64101)))+~P108(f330(f330(f332(a928),f2(a928)),x64103)) % 199.45/199.84 [6415]P32(x64151,x64152,x64153)+~P33(a928,x64151,f142(a928,f330(f305(a928,x64152),x64153))) % 199.45/199.84 [6418]~P80(x64181)+E(f330(f313(x64181,x64181,f81(x64181)),f308(x64181,x64182,x64183)),f330(f305(x64181,f330(f81(x64181),x64183)),f330(f81(x64181),x64182))) % 199.45/199.84 [6438]~P64(x64381)+E(f46(x64381,f330(f81(x64381),f46(x64381,x64382,x64383)),x64383),f46(x64381,f330(f81(x64381),x64382),x64383)) % 199.45/199.84 [6533]~P108(f330(f62(f934(x65332,x65331)),x65333))+P108(f330(f62(x65331),f330(f287(x65332,x65331),x65333))) % 199.45/199.84 [6534]~P108(f330(f62(f934(x65341,x65342)),x65343))+P108(f330(f62(x65341),f330(f267(x65341,x65342),x65343))) % 199.45/199.84 [6539]~P112(x65391)+E(f330(f330(f104(f935(x65391,a923)),f309(x65391,x65392,x65393)),f330(f286(x65391),x65393)),f191(f935(x65391,a923))) % 199.45/199.84 [6540]~P112(x65401)+E(f330(f330(f104(f935(x65401,a923)),f308(x65401,x65402,x65403)),f330(f307(x65401),x65403)),f191(f935(x65401,a923))) % 199.45/199.84 [6541]~P112(x65411)+E(f330(f330(f104(f935(x65411,a923)),f306(x65411,x65412,x65413)),f330(f307(x65411),x65413)),f191(f935(x65411,a923))) % 199.45/199.84 [6612]E(f330(f330(f167(x66121),x66122),f646(x66122,x66123,x66121)),x66123)+~P108(f330(f330(f332(x66121),x66123),f330(f175(x66121),x66122))) % 199.45/199.84 [6757]E(x67571,f116(x67572))+~E(f330(f330(f330(f186(f929(x67572),f929(x67572)),x67573),f170(x67572)),x67571),f116(x67572)) % 199.45/199.84 [6860]~P108(f330(f62(f934(x68602,x68601)),x68603))+P108(f330(f62(f934(x68601,x68602)),f330(f289(x68602,x68601),x68603))) % 199.45/199.84 [6883]E(x68831,x68832)+~E(f293(a928,f290(a928),x68833,x68831),f330(f330(f312(a928),x68832),f191(f935(a928,a923)))) % 199.45/199.84 [6884]E(x68841,x68842)+~E(f293(a928,f290(a928),x68841,x68842),f330(f330(f312(a928),x68843),f191(f935(a928,a923)))) % 199.45/199.84 [7010]P58(x70101,x70102,x70103)+P108(f330(f330(f332(x70101),f620(x70103,x70102,x70101)),x70102)) % 199.45/199.84 [7011]P58(x70111,x70112,x70113)+P108(f330(f330(f332(x70111),f619(x70113,x70112,x70111)),x70112)) % 199.45/199.84 [7022]P108(f330(f318(x70221,x70222),x70223))+P108(f330(f330(x70222,f362(x70223,x70222,x70221)),x70223)) % 199.45/199.84 [7023]P108(f330(f318(x70231,x70232),x70233))+P108(f330(f330(x70232,f370(x70233,x70232,x70231)),x70233)) % 199.45/199.84 [7054]E(f330(f192(f929(x70541)),f173(x70541,x70542,x70543)),f330(f330(f23(a928),f330(f192(f929(x70541)),x70543)),f80(a928)))+~P108(f330(f330(f332(x70541),x70542),f330(f175(x70541),x70543))) % 199.45/199.84 [7093]P108(f330(f251(x70931,x70932),x70933))+P108(f330(f330(f332(x70931),f569(x70933,x70932,x70931)),x70933)) % 199.45/199.84 [7102]~P108(f330(f62(f934(x71022,x71021)),f330(f289(x71021,x71022),x71023)))+P108(f330(f62(f934(x71021,x71022)),x71023)) % 199.45/199.84 [7160]~P108(f330(f330(f332(x71601),x71602),f330(f175(x71601),f117(x71601,x71603))))+P108(f330(f330(f332(x71601),x71602),f330(f175(x71601),x71603))) % 199.45/199.84 [7165]P28(x71651,x71652,x71653)+P108(f330(f330(f332(f927(x71651)),f587(x71653,x71652,x71651)),x71653)) % 199.45/199.84 [7195]E(f330(f139(x71951,x71952),x71953),x71953)+P108(f330(f330(f332(x71951),f713(x71953,x71952,x71951)),f330(f175(x71951),x71953))) % 199.45/199.84 [7209]E(f330(f139(x72091,x72092),x72093),f116(x72091))+P108(f330(f330(f332(x72091),f712(x72093,x72092,x72091)),f330(f175(x72091),x72093))) % 199.45/199.84 [7233]P33(x72331,x72332,x72333)+P108(f330(f330(f332(x72331),f769(x72333,x72332,x72331)),f330(f175(x72331),x72333))) % 199.45/199.84 [7234]P33(x72341,x72342,x72343)+P108(f330(f330(f332(x72341),f777(x72343,x72342,x72341)),f330(f175(x72341),x72343))) % 199.45/199.84 [7235]P33(x72351,x72352,x72353)+P108(f330(f330(f332(x72351),f776(x72352,x72353,x72351)),f330(f175(x72351),x72353))) % 199.45/199.84 [7238]E(f180(x72381,x72382,x72383),x72383)+P108(f330(f330(f332(x72381),f728(x72383,x72382,x72381)),f330(f175(x72381),x72383))) % 199.45/199.84 [7315]P108(f330(f163(x73151,x73152),x73153))+P108(f330(f330(f332(x73151),f702(x73153,x73152,x73151)),f330(f175(x73151),x73153))) % 199.45/199.84 [7324]~P35(x73241,x73243,x73242)+P108(f330(f330(f332(x73241),f762(x73242,x73243,x73241)),f330(f175(x73241),x73242))) % 199.45/199.84 [7325]~P37(x73251,x73253,x73252)+P108(f330(f330(f332(x73251),f768(x73252,x73253,x73251)),f330(f175(x73251),x73252))) % 199.45/199.84 [7326]~P37(x73261,x73263,x73262)+P108(f330(f330(f332(x73261),f778(x73262,x73263,x73261)),f330(f175(x73261),x73262))) % 199.45/199.84 [7327]~P35(x73271,x73273,x73272)+P108(f330(f330(f332(x73271),f806(x73272,x73273,x73271)),f330(f175(x73271),x73272))) % 199.45/199.84 [7328]~P35(x73281,x73282,x73283)+P108(f330(f330(f332(x73281),f807(x73282,x73283,x73281)),f330(f175(x73281),x73283))) % 199.45/199.84 [7362]P108(f330(f330(f332(x73621),x73622),f648(x73623,x73622,x73621)))+~P108(f330(f330(f332(x73621),x73622),f38(f935(x73621,a923),x73623))) % 199.45/199.84 [7363]~P76(x73631)+E(f330(f330(f82(x73631),f330(f330(f6(a928,x73631),x73632),f330(f285(a928),x73633))),f330(x73632,x73633)),f330(f330(f6(a928,x73631),x73632),f330(f285(a928),f330(a115,x73633)))) % 199.45/199.84 [7375]P32(x73751,x73752,x73753)+P108(f330(f330(f332(a928),f841(x73753,x73752,x73751)),f330(f305(a928,x73752),x73753))) % 199.45/199.84 [7455]~P35(x74552,x74551,x74553)+P108(f330(x74551,f330(f330(f167(x74552),x74553),f765(x74553,x74551,x74552)))) % 199.45/199.84 [7468]~P108(f330(f330(f332(x74681),x74682),f607(x74682,x74683,x74681)))+P108(f330(f330(f332(x74681),x74682),f39(f935(x74681,a923),x74683))) % 199.45/199.84 [7501]~P76(x75011)+E(f330(f330(f82(x75011),f330(f330(f6(a928,x75011),x75012),f330(f304(a928),x75013))),f330(x75012,f330(a115,x75013))),f330(f330(f6(a928,x75011),x75012),f330(f304(a928),f330(a115,x75013)))) % 199.45/199.84 [7638]P108(f330(f330(f332(f929(x76381)),x76382),f164(x76381,x76383)))+P108(f330(f330(f332(x76381),f670(x76383,x76382,x76381)),f330(f175(x76381),x76382))) % 199.45/199.84 [7652]~P108(f330(f330(f332(f929(x76521)),x76522),f164(x76521,f319(x76521,x76523))))+P108(f330(f330(f332(f929(x76521)),x76522),f319(f929(x76521),f160(x76521,x76523)))) % 199.45/199.84 [7677]~P108(f330(f330(f332(f929(x76771)),x76772),f319(f929(x76771),f160(x76771,x76773))))+P108(f330(f330(f332(f929(x76771)),x76772),f164(x76771,f319(x76771,x76773)))) % 199.45/199.84 [7710]E(f330(f330(f330(f186(f929(x77101),f929(x77101)),x77102),f170(x77101)),x77103),x77103)+~P108(f330(f330(f238(a928),f330(f192(f929(x77101)),x77103)),f80(a928))) % 199.45/199.84 [7743]E(f330(f330(f137(x77431),f771(x77432,x77433,x77431)),f330(f330(f154(x77431),x77433),f772(x77432,x77433,x77431))),x77432)+~P108(f330(f330(f332(x77431),x77433),f330(f175(x77431),x77432))) % 199.45/199.84 [7744]E(f330(f330(f137(x77441),f766(x77442,x77443,x77441)),f330(f330(f154(x77441),x77443),f767(x77442,x77443,x77441))),x77442)+~P108(f330(f330(f332(x77441),x77443),f330(f175(x77441),x77442))) % 199.45/199.84 [7745]E(f330(f330(f137(x77451),f773(x77452,x77453,x77451)),f330(f330(f154(x77451),x77453),f775(x77452,x77453,x77451))),x77452)+~P108(f330(f330(f332(x77451),x77453),f330(f175(x77451),x77452))) % 199.45/199.84 [7767]~P25(x77671,x77672,x77673,f245(f935(x77671,a923)))+P25(f929(x77671),f929(x77672),f330(f157(x77671,x77672),x77673),f245(f935(f929(x77671),a923))) % 199.45/199.84 [7917]E(x79171,f330(f330(f82(a928),f330(f330(f83(a928),f330(f254(a928,a928),x79172)),x79173)),f330(f259(a928,a928),x79172)))+~P108(f330(f49(x79171,x79173),x79172)) % 199.45/199.84 [7925]P25(x79251,x79252,x79253,f245(f935(x79251,a923)))+~P25(f929(x79251),f929(x79252),f330(f157(x79251,x79252),x79253),f245(f935(f929(x79251),a923))) % 199.45/199.84 [7968]P108(f330(f330(f332(f935(x79681,a923)),f607(x79682,x79683,x79681)),x79683))+P108(f330(f330(f332(x79681),x79682),f39(f935(x79681,a923),x79683))) % 199.45/199.84 [8057]P108(f330(f330(f332(f929(x80571)),x80572),f164(x80571,x80573)))+~P108(f330(f330(f332(x80571),f670(x80573,x80572,x80571)),x80573)) % 199.45/199.84 [8158]P33(x81581,x81582,x81583)+~P108(f330(x81582,f330(f330(f167(x81581),x81583),f770(x81583,x81582,x81581)))) % 199.45/199.84 [8183]E(x81831,x81832)+~E(f330(f330(f7(x81833,f935(x81833,a923),a923),f332(x81833)),x81831),f330(f330(f7(x81833,f935(x81833,a923),a923),f332(x81833)),x81832)) % 199.45/199.84 [8191]~P108(f330(f330(f332(f934(x81911,x81911)),x81913),f266(x81911,x81912)))+P108(f330(f330(f332(x81911),f414(x81912,x81913,x81911)),x81912)) % 199.45/199.84 [8193]~P108(f330(f330(f332(x81931),x81933),f38(f935(x81931,a923),x81932)))+P108(f330(f330(f332(f935(x81931,a923)),f648(x81932,x81933,x81931)),x81932)) % 199.45/199.84 [8312]P25(x83121,x83122,f94(x83122,x83121,f245(f935(x83122,a923)),x83123),f245(f935(x83121,a923)))+~E(f330(f313(x83122,x83121,x83123),f245(f935(x83122,a923))),f245(f935(x83121,a923))) % 199.45/199.84 [8366]~P108(f330(f330(f332(x83661),x83662),f330(f175(x83661),f766(x83663,x83662,x83661))))+~P108(f330(f330(f332(x83661),x83662),f330(f175(x83661),x83663))) % 199.45/199.84 [8367]~P108(f330(f330(f332(x83671),x83672),f330(f175(x83671),f775(x83673,x83672,x83671))))+~P108(f330(f330(f332(x83671),x83672),f330(f175(x83671),x83673))) % 199.45/199.84 [8394]P32(f330(f74(a923,a923,a928,a325),x83941),x83942,x83943)+P35(a928,x83941,f142(a928,f330(f305(a928,x83942),x83943))) % 199.45/199.84 [8555]E(x85551,f116(x85552))+P108(f330(f330(f332(x85552),f330(f254(x85552,f934(a102,a102)),f330(f278(x85552,x85551),x85553))),f330(f175(x85552),x85551))) % 199.45/199.84 [8654]~P71(x86541)+E(f330(f145(x86541,x86541,f330(f7(x86541,x86541,x86541),f82(x86541)),x86542),f330(f171(x86541),x86543)),f330(f145(x86541,x86541,f82(x86541),x86542),x86543)) % 199.45/199.84 [8844]~P25(x88442,x88441,x88443,f245(f935(x88442,a923)))+E(f330(f313(x88441,x88442,f94(x88442,x88441,f245(f935(x88442,a923)),x88443)),f245(f935(x88441,a923))),f245(f935(x88442,a923))) % 199.45/199.84 [8914]~P32(f330(f74(a923,a923,a928,a325),x89141),x89142,x89143)+~P35(a928,x89141,f142(a928,f330(f305(a928,x89142),x89143))) % 199.45/199.84 [9162]~P110(x91621)+E(f330(f175(x91621),f152(x91621,x91621,f5(x91621),x91622,x91623)),f330(f330(f312(x91621),x91622),f330(f175(x91621),x91623))) % 199.45/199.84 [9173]~E(f330(x91733,f330(f94(x91731,x91732,f245(f935(x91731,a923)),x91733),f821(x91733,x91732,x91731))),f821(x91733,x91732,x91731))+E(f330(f313(x91731,x91732,x91733),f245(f935(x91731,a923))),f245(f935(x91732,a923))) % 199.45/199.84 [9175]P108(f330(f330(f239(a928),f2(a928)),f628(x91751,x91752,x91753)))+~P108(f330(f330(f332(f934(x91753,x91753)),x91752),f330(f330(f292(x91753,x91753,x91753),x91751),f310(x91753,x91751)))) % 199.45/199.84 [9453]~P60(x94531,x94532)+~P108(f330(f330(f332(f934(x94531,x94531)),f330(f330(f255(x94531,x94531),x94533),x94533)),f330(f330(f292(x94531,x94531,x94531),x94532),f310(x94531,x94532)))) % 199.45/199.84 [9587]~E(f330(f330(f104(f935(f934(x95871,x95871),a923)),f330(f289(x95871,x95871),x95872)),f310(x95871,x95872)),f191(f935(f934(x95871,x95871),a923)))+~P108(f330(f330(f332(f934(x95871,x95871)),f330(f330(f255(x95871,x95871),x95873),x95873)),f330(f330(f292(x95871,x95871,x95871),x95872),f310(x95871,x95872)))) % 199.45/199.84 [9770]~P108(f330(f62(x97701),x97702))+P108(f330(f330(f238(a928),f330(f36(x97701),f330(f330(f23(f935(x97701,a923)),x97702),f330(f330(f312(x97701),x97703),f191(f935(x97701,a923)))))),f330(f36(x97701),x97702))) % 199.45/199.84 [5315]~E(x53153,f116(x53151))+E(f147(x53151,f330(f330(f154(x53151),x53152),x53153)),x53152) % 199.45/199.84 [5324]~E(x53243,f116(x53241))+E(f117(x53241,f330(f330(f154(x53241),x53242),x53243)),f116(x53241)) % 199.45/199.84 [5354]E(x53541,f116(x53542))+E(f147(x53542,f330(f330(f154(x53542),x53543),x53541)),f147(x53542,x53541)) % 199.45/199.84 [5356]E(x53561,f116(x53562))+E(f147(x53562,f330(f330(f137(x53562),x53563),x53561)),f147(x53562,x53561)) % 199.45/199.84 [5361]~E(x53613,f116(x53611))+E(f117(x53611,f330(f330(f137(x53611),x53612),x53613)),f117(x53611,x53612)) % 199.45/199.84 [5363]~E(x53633,f116(x53631))+E(f147(x53631,f330(f330(f137(x53631),x53632),x53633)),f147(x53631,x53632)) % 199.45/199.84 [5396]E(x53961,f116(x53962))+E(f330(f144(x53962),f330(f330(f137(x53962),x53961),x53963)),f330(f144(x53962),x53961)) % 199.45/199.84 [5424]~E(x54242,f116(x54241))+E(f330(f144(x54241),f330(f330(f137(x54241),x54242),x54243)),f330(f144(x54241),x54243)) % 199.45/199.84 [5476]~P110(x54761)+E(f330(f330(f236(x54761),x54762),f330(f330(f237(x54761),x54762),x54763)),x54762) % 199.45/199.84 [5477]~P110(x54771)+E(f330(f330(f237(x54771),x54772),f330(f330(f236(x54771),x54772),x54773)),x54772) % 199.45/199.84 [5478]~P99(x54781)+E(f330(f330(f104(x54781),x54782),f330(f330(f113(x54781),x54782),x54783)),x54782) % 199.45/199.84 [5479]~P99(x54791)+E(f330(f330(f113(x54791),x54792),f330(f330(f104(x54791),x54792),x54793)),x54792) % 199.45/199.84 [5498]~P63(x54981)+E(f46(x54981,f330(f330(f83(x54981),x54982),x54983),x54983),f2(x54981)) % 199.45/199.84 [5499]~P63(x54991)+E(f46(x54991,f330(f330(f83(x54991),x54992),x54993),x54992),f2(x54991)) % 199.45/199.84 [5572]~P3(x55721)+E(f330(f81(x55721),f330(f330(f23(x55721),x55722),x55723)),f330(f330(f23(x55721),x55723),x55722)) % 199.45/199.84 [5634]E(x56341,f116(x56342))+E(f117(x56342,f330(f330(f154(x56342),x56343),x56341)),f330(f330(f154(x56342),x56343),f117(x56342,x56341))) % 199.45/199.84 [5635]E(x56351,f116(x56352))+E(f117(x56352,f330(f330(f137(x56352),x56353),x56351)),f330(f330(f137(x56352),x56353),f117(x56352,x56351))) % 199.45/199.84 [5638]~P5(x56381)+E(f39(x56381,f330(f330(f312(x56381),x56382),x56383)),f330(f330(f104(x56381),x56382),f39(x56381,x56383))) % 199.45/199.84 [5639]~P5(x56391)+E(f38(x56391,f330(f330(f312(x56391),x56392),x56393)),f330(f330(f113(x56391),x56392),f38(x56391,x56393))) % 199.45/199.84 [5684]~P98(x56841)+E(f330(f330(f83(x56841),x56842),f330(f330(f83(x56841),x56842),x56843)),f330(f330(f83(x56841),x56842),x56843)) % 199.45/199.84 [5686]~P110(x56861)+E(f330(f330(f236(x56861),x56862),f330(f330(f236(x56861),x56862),x56863)),f330(f330(f236(x56861),x56862),x56863)) % 199.45/199.84 [5688]~P110(x56881)+E(f330(f330(f237(x56881),x56882),f330(f330(f237(x56881),x56882),x56883)),f330(f330(f237(x56881),x56882),x56883)) % 199.45/199.84 [5689]~P99(x56891)+E(f330(f330(f104(x56891),x56892),f330(f330(f104(x56891),x56892),x56893)),f330(f330(f104(x56891),x56892),x56893)) % 199.45/199.84 [5691]~P104(x56911)+E(f330(f330(f104(x56911),x56912),f330(f330(f104(x56911),x56912),x56913)),f330(f330(f104(x56911),x56912),x56913)) % 199.45/199.84 [5692]~P99(x56921)+E(f330(f330(f113(x56921),x56922),f330(f330(f113(x56921),x56922),x56923)),f330(f330(f113(x56921),x56922),x56923)) % 199.45/199.84 [5694]~P105(x56941)+E(f330(f330(f113(x56941),x56942),f330(f330(f113(x56941),x56942),x56943)),f330(f330(f113(x56941),x56942),x56943)) % 199.45/199.84 [5701]~P63(x57011)+E(f46(x57011,f330(f330(f82(x57011),x57012),x57013),x57013),f46(x57011,x57012,x57013)) % 199.45/199.84 [5702]~P63(x57021)+E(f46(x57021,f330(f330(f82(x57021),x57022),x57023),x57022),f46(x57021,x57023,x57022)) % 199.45/199.84 [5710]~P132(x57101)+E(f330(f330(f83(x57101),x57102),f330(f81(x57101),x57103)),f330(f81(x57101),f330(f330(f83(x57101),x57102),x57103))) % 199.45/199.84 [5711]~P66(x57111)+E(f330(f330(f294(x57111),x57112),f330(f81(x57111),x57113)),f330(f81(x57111),f330(f330(f294(x57111),x57112),x57113))) % 199.45/199.84 [5712]~P82(x57121)+E(f330(f330(f82(x57121),x57122),f330(f168(x57121),x57123)),f330(f168(x57121),f330(f330(f154(x57121),x57122),x57123))) % 199.45/199.84 [5740]~P132(x57401)+E(f330(f330(f83(x57401),f330(f81(x57401),x57402)),x57403),f330(f330(f83(x57401),x57402),f330(f81(x57401),x57403))) % 199.45/199.84 [5746]~P8(x57461,x57462,x57463)+E(f38(f935(x57461,a923),f330(f330(f61(x57461),x57462),x57463)),x57462) % 199.45/199.84 [5812]~P117(x58121)+E(f330(f330(f83(x58121),x58122),f330(f330(f247(x58121),x58122),x58123)),f330(f330(f247(x58121),x58122),f330(a115,x58123))) % 199.45/199.84 [5813]~P114(x58131)+E(f330(f330(f83(x58131),x58132),f330(f330(f247(x58131),x58132),x58133)),f330(f330(f247(x58131),x58132),f330(a115,x58133))) % 199.45/199.84 [5823]~P77(x58231)+E(f330(f330(f82(x58231),f330(f81(x58231),x58232)),f330(f330(f82(x58231),x58232),x58233)),x58233) % 199.45/199.84 [5846]~P148(x58461)+E(f330(f330(f247(x58461),f330(f103(x58461),x58462)),x58463),f330(f103(x58461),f330(f330(f247(a928),x58462),x58463))) % 199.45/199.84 [5847]~P145(x58471)+E(f330(f330(f247(x58471),f330(f105(x58471),x58472)),x58473),f330(f105(x58471),f330(f330(f247(a1),x58472),x58473))) % 199.45/199.84 [5853]~P86(x58531)+E(f330(f77(x58531),f330(f330(f23(x58531),x58532),x58533)),f330(f77(x58531),f330(f330(f23(x58531),x58533),x58532))) % 199.45/199.84 [5855]~P121(x58551)+E(f330(f330(f83(x58551),f84(x58551,x58552)),f84(x58551,x58553)),f84(x58551,f330(f330(f83(x58551),x58552),x58553))) % 199.45/199.84 [5859]E(x58591,f116(x58592))+E(f330(f330(f137(x58592),f330(f174(x58592),x58591)),x58593),f330(f174(x58592),f330(f330(f137(x58592),x58591),x58593))) % 199.45/199.84 [5864]~E(x58642,f330(a115,f330(f330(f82(a928),x58641),x58643)))+P108(f330(f330(f239(a928),x58641),x58642)) % 199.45/199.84 [5865]~P121(x58651)+E(f330(f330(f247(x58651),f330(f77(x58651),x58652)),x58653),f330(f77(x58651),f330(f330(f247(x58651),x58652),x58653))) % 199.45/199.84 [5866]~P132(x58661)+E(f330(f330(f83(x58661),f330(f81(x58661),x58662)),x58663),f330(f81(x58661),f330(f330(f83(x58661),x58662),x58663))) % 199.45/199.84 [5867]~P125(x58671)+E(f330(f330(f294(x58671),f330(f81(x58671),x58672)),x58673),f330(f81(x58671),f330(f330(f294(x58671),x58672),x58673))) % 199.45/199.84 [5965]E(f350(x59651,x59652,x59653),f388(x59651,x59652,x59653))+E(f330(f330(f104(f935(x59653,a923)),x59652),x59651),f191(f935(x59653,a923))) % 199.45/199.84 [5980]~P72(x59802)+E(f330(f330(f9(x59801,x59802),f330(f16(x59802,x59801),f80(x59802))),x59803),f80(x59802)) % 199.45/199.84 [5981]~P76(x59812)+E(f330(f330(f6(x59811,x59812),f330(f16(x59812,x59811),f2(x59812))),x59813),f2(x59812)) % 199.45/199.84 [5983]~P95(x59831)+E(f330(f330(f23(x59831),f330(f106(x59831),x59832)),f330(f106(x59831),x59833)),f330(f106(x59831),f330(f330(f23(a1),x59832),x59833))) % 199.45/199.84 [5986]~P148(x59861)+E(f330(f330(f83(x59861),f330(f103(x59861),x59862)),f330(f103(x59861),x59863)),f330(f103(x59861),f330(f330(f83(a928),x59862),x59863))) % 199.45/199.84 [5987]~P148(x59871)+E(f330(f330(f82(x59871),f330(f103(x59871),x59872)),f330(f103(x59871),x59873)),f330(f103(x59871),f330(f330(f82(a928),x59872),x59873))) % 199.45/199.84 [5988]~P145(x59881)+E(f330(f330(f23(x59881),f330(f105(x59881),x59882)),f330(f105(x59881),x59883)),f330(f105(x59881),f330(f330(f23(a1),x59882),x59883))) % 199.45/199.84 [5989]~P145(x59891)+E(f330(f330(f83(x59891),f330(f105(x59891),x59892)),f330(f105(x59891),x59893)),f330(f105(x59891),f330(f330(f83(a1),x59892),x59893))) % 199.45/199.84 [5990]~P145(x59901)+E(f330(f330(f82(x59901),f330(f105(x59901),x59902)),f330(f105(x59901),x59903)),f330(f105(x59901),f330(f330(f82(a1),x59902),x59903))) % 199.45/199.84 [5991]~P95(x59911)+E(f330(f330(f83(x59911),f330(f106(x59911),x59912)),f330(f106(x59911),x59913)),f330(f106(x59911),f330(f330(f83(a1),x59912),x59913))) % 199.45/199.84 [5992]~P95(x59921)+E(f330(f330(f82(x59921),f330(f106(x59921),x59922)),f330(f106(x59921),x59923)),f330(f106(x59921),f330(f330(f82(a1),x59922),x59923))) % 199.45/199.84 [6040]~E(x60403,x60402)+P108(f330(f330(f238(f935(x60401,a923)),x60402),x60403)) % 199.45/199.84 [6046]~E(x60462,x60463)+P108(f330(f330(f238(f935(x60461,a923)),x60462),x60463)) % 199.45/199.84 [6051]~P121(x60511)+E(f330(f330(f83(x60511),f330(f77(x60511),x60512)),f330(f77(x60511),x60513)),f330(f77(x60511),f330(f330(f83(x60511),x60512),x60513))) % 199.45/199.84 [6052]~P68(x60521)+E(f330(f330(f294(x60521),f330(f77(x60521),x60522)),f330(f77(x60521),x60523)),f330(f77(x60521),f330(f330(f294(x60521),x60522),x60523))) % 199.45/199.84 [6053]~P77(x60531)+E(f330(f330(f82(x60531),f330(f81(x60531),x60532)),f330(f81(x60531),x60533)),f330(f81(x60531),f330(f330(f82(x60531),x60533),x60532))) % 199.45/199.84 [6054]~P3(x60541)+E(f330(f330(f82(x60541),f330(f81(x60541),x60542)),f330(f81(x60541),x60543)),f330(f81(x60541),f330(f330(f82(x60541),x60542),x60543))) % 199.45/199.84 [6055]~P78(x60551)+E(f330(f330(f237(x60551),f330(f81(x60551),x60552)),f330(f81(x60551),x60553)),f330(f81(x60551),f330(f330(f236(x60551),x60552),x60553))) % 199.45/199.84 [6056]~P78(x60561)+E(f330(f330(f236(x60561),f330(f81(x60561),x60562)),f330(f81(x60561),x60563)),f330(f81(x60561),f330(f330(f237(x60561),x60562),x60563))) % 199.45/199.84 [6057]~P97(x60571)+E(f330(f330(f113(x60571),f330(f81(x60571),x60572)),f330(f81(x60571),x60573)),f330(f81(x60571),f330(f330(f104(x60571),x60572),x60573))) % 199.45/199.84 [6058]~P97(x60581)+E(f330(f330(f104(x60581),f330(f81(x60581),x60582)),f330(f81(x60581),x60583)),f330(f81(x60581),f330(f330(f113(x60581),x60582),x60583))) % 199.45/199.84 [6059]~P82(x60591)+E(f330(f330(f82(x60591),f330(f168(x60591),x60592)),f330(f168(x60591),x60593)),f330(f168(x60591),f330(f330(f137(x60591),x60592),x60593))) % 199.45/199.84 [6060]E(x60601,f191(f935(x60602,a923)))+~E(f330(f330(f113(f935(x60602,a923)),x60603),x60601),f191(f935(x60602,a923))) % 199.45/199.84 [6061]E(x60611,f191(f935(x60612,a923)))+~E(f330(f330(f113(f935(x60612,a923)),x60611),x60613),f191(f935(x60612,a923))) % 199.45/199.84 [6062]~P151(x60621,x60622,x60623)+P108(f330(x60621,f330(f330(f37(a1),x60622),x60623))) % 199.45/199.84 [6118]~P108(f330(f62(x61181),x61183))+P108(f330(f62(x61181),f330(f330(f312(x61181),x61182),x61183))) % 199.45/199.84 [6119]~P108(f330(f140(x61191),x61193))+P108(f330(f140(x61191),f330(f330(f178(x61191),x61192),x61193))) % 199.45/199.84 [6120]~P108(f330(f140(x61201),x61203))+P108(f330(f140(x61201),f330(f330(f141(x61201),x61202),x61203))) % 199.45/199.84 [6152]~P110(x61521)+P108(f330(f330(f238(x61521),x61522),f330(f330(f237(x61521),x61523),x61522))) % 199.45/199.84 [6153]~P110(x61531)+P108(f330(f330(f238(x61531),x61532),f330(f330(f237(x61531),x61532),x61533))) % 199.45/199.84 [6154]~P99(x61541)+P108(f330(f330(f238(x61541),x61542),f330(f330(f113(x61541),x61543),x61542))) % 199.45/199.84 [6155]~P105(x61551)+P108(f330(f330(f238(x61551),x61552),f330(f330(f113(x61551),x61553),x61552))) % 199.45/199.84 [6156]~P99(x61561)+P108(f330(f330(f238(x61561),x61562),f330(f330(f113(x61561),x61562),x61563))) % 199.45/199.84 [6157]~P105(x61571)+P108(f330(f330(f238(x61571),x61572),f330(f330(f113(x61571),x61572),x61573))) % 199.45/199.84 [6158]~P114(x61581)+P108(f330(f330(f290(x61581),x61582),f330(f330(f83(x61581),x61583),x61582))) % 199.45/199.84 [6159]~P114(x61591)+P108(f330(f330(f290(x61591),x61592),f330(f330(f83(x61591),x61592),x61593))) % 199.45/199.84 [6173]~E(x61731,f2(a928))+E(f330(f330(f37(a928),f330(f330(f83(a928),x61731),x61732)),f330(f330(f83(a928),x61731),x61733)),f2(a928)) % 199.45/199.84 [6254]~P95(x62541)+E(f330(f330(f23(x62541),f330(f106(x62541),x62542)),f330(f106(x62541),x62543)),f330(f106(x62541),f330(f330(f82(a1),x62542),f330(f81(a1),x62543)))) % 199.45/199.84 [6312]E(x63121,f2(a928))+E(f330(f330(f37(a928),f330(f330(f83(a928),x63121),x63122)),f330(f330(f83(a928),x63121),x63123)),f330(f330(f37(a928),x63122),x63123)) % 199.45/199.84 [6343]E(f155(x63431,f330(f330(f154(x63431),x63432),x63433)),f330(f330(f154(x63431),x63432),f155(x63431,x63433)))+P108(f330(f330(f332(x63431),x63432),f330(f175(x63431),x63433))) % 199.45/199.84 [6380]P151(x63801,x63802,x63803)+~P108(f330(x63801,f330(f330(f37(a1),x63802),x63803))) % 199.45/199.84 [6451]E(x64511,f116(x64512))+E(f330(f330(f154(x64512),f330(f144(x64512),x64511)),f330(f330(f178(x64512),x64513),f330(f174(x64512),x64511))),f330(f330(f178(x64512),f330(a115,x64513)),x64511)) % 199.45/199.84 [6459]E(f330(f330(f23(f935(x64591,a923)),x64592),x64593),x64592)+~E(f330(f330(f104(f935(x64591,a923)),x64592),x64593),f191(f935(x64591,a923))) % 199.45/199.84 [6473]E(f155(x64731,f330(f330(f154(x64731),x64732),x64733)),f155(x64731,x64733))+~P108(f330(f330(f332(x64731),x64732),f330(f175(x64731),x64733))) % 199.45/199.84 [6503]~P108(f330(f330(f238(a928),x65031),x65033))+P108(f330(f330(f238(a928),x65031),f330(f330(f82(a928),x65032),x65033))) % 199.45/199.84 [6505]~P108(f330(f330(f238(a928),x65051),x65052))+P108(f330(f330(f238(a928),x65051),f330(f330(f82(a928),x65052),x65053))) % 199.45/199.84 [6507]~P108(f330(f330(f239(a928),x65071),x65073))+P108(f330(f330(f239(a928),x65071),f330(f330(f82(a928),x65072),x65073))) % 199.45/199.84 [6509]~P108(f330(f330(f239(a928),x65091),x65092))+P108(f330(f330(f239(a928),x65091),f330(f330(f82(a928),x65092),x65093))) % 199.45/199.84 [6547]P108(f330(f62(x65471),x65472))+~P108(f330(f62(x65471),f330(f330(f312(x65471),x65473),x65472))) % 199.45/199.84 [6548]P108(f330(f140(x65481),x65482))+~P108(f330(f140(x65481),f330(f330(f154(x65481),x65483),x65482))) % 199.45/199.84 [6549]P108(f330(f140(x65491),x65492))+~P108(f330(f140(x65491),f330(f330(f137(x65491),x65493),x65492))) % 199.45/199.84 [6550]P108(f330(f140(x65501),x65502))+~P108(f330(f140(x65501),f330(f330(f137(x65501),x65502),x65503))) % 199.45/199.84 [6602]~P114(x66021)+E(f330(f330(f82(x66021),x66022),f330(f330(f83(x66021),x66023),x66022)),f330(f330(f83(x66021),f330(f330(f82(x66021),x66023),f80(x66021))),x66022)) % 199.45/199.84 [6648]~E(x66481,x66482)+~P108(f330(f330(f239(f935(x66483,a923)),x66481),x66482)) % 199.45/199.84 [6694]P108(f330(f330(f332(x66941),x66942),x66943))+P108(f330(f330(f332(x66941),x66942),f330(f81(f935(x66941,a923)),x66943))) % 199.45/199.84 [6700]E(f147(x67001,f330(f330(f141(x67001),x67002),x67003)),f147(x67001,x67003))+~P108(f330(f330(f239(a928),x67002),f330(f192(f929(x67001)),x67003))) % 199.45/199.84 [6701]E(f330(f330(f178(x67011),x67012),f117(x67011,x67013)),f330(f330(f178(x67011),x67012),x67013))+~P108(f330(f330(f239(a928),x67012),f330(f192(f929(x67011)),x67013))) % 199.45/199.84 [6759]E(f330(f330(f330(f186(f929(x67591),f929(x67591)),x67592),f170(x67591)),x67593),x67593)+~E(f46(a928,x67592,f330(f192(f929(x67591)),x67593)),f2(a928)) % 199.45/199.84 [6766]~P8(x67661,x67663,x67662)+E(f330(f330(f292(x67661,x67661,x67661),f330(f289(x67661,x67661),x67662)),x67662),x67662) % 199.45/199.84 [6808]~E(f330(f330(f113(f935(x68081,a923)),x68082),x68083),x68083)+P108(f330(f330(f238(f935(x68081,a923)),x68082),x68083)) % 199.45/199.84 [6813]~P57(x68131,x68131,x68133)+P57(x68131,x68131,f330(f330(f186(f934(x68131,x68131),a923),x68132),x68133)) % 199.45/199.84 [6817]~P108(f330(f330(f332(x68171),x68173),f330(f175(x68171),x68172)))+P108(f330(f330(f239(a928),f2(a928)),f330(f192(f929(x68171)),x68172))) % 199.45/199.84 [6843]~P86(x68431)+E(f330(f77(x68431),f330(f330(f82(x68431),f330(f77(x68431),x68432)),f330(f77(x68431),x68433))),f330(f330(f82(x68431),f330(f77(x68431),x68432)),f330(f77(x68431),x68433))) % 199.45/199.84 [6853]E(f330(f330(f37(a928),f330(f330(f83(a928),x68531),x68532)),f330(f330(f83(a928),x68531),x68533)),f330(f330(f37(a928),x68532),x68533))+~P108(f330(f330(f239(a928),f2(a928)),x68531)) % 199.45/199.84 [6990]~P108(f330(f62(x69901),x69903))+E(f330(f330(f65(x69901,f935(x69901,a923),f312(x69901)),x69902),x69903),f330(f330(f113(f935(x69901,a923)),x69903),x69902)) % 199.45/199.84 [7047]E(f330(f330(f104(f935(x70471,a923)),x70472),x70473),x70473)+~P108(f330(f330(f238(f935(x70471,a923)),x70473),x70472)) % 199.45/199.84 [7048]E(f330(f330(f104(f935(x70481,a923)),x70482),x70483),x70482)+~P108(f330(f330(f238(f935(x70481,a923)),x70482),x70483)) % 199.45/199.84 [7049]E(f330(f330(f113(f935(x70491,a923)),x70492),x70493),x70492)+~P108(f330(f330(f238(f935(x70491,a923)),x70493),x70492)) % 199.45/199.84 [7051]E(f330(f330(f113(f935(x70511,a923)),x70512),x70513),x70513)+~P108(f330(f330(f238(f935(x70511,a923)),x70512),x70513)) % 199.45/199.84 [7100]~P108(f330(f140(x71001),x71002))+E(f330(f330(f23(f935(x71001,a923)),f330(f175(x71001),x71002)),f330(f330(f312(x71001),x71003),f191(f935(x71001,a923)))),f330(f175(x71001),f173(x71001,x71003,x71002))) % 199.45/199.84 [7155]P39(x71551,x71552)+~P39(x71551,f330(f330(f186(f934(x71551,x71551),a923),x71553),x71552)) % 199.45/199.84 [7172]~E(x71721,f2(a928))+P108(f330(f330(f290(a928),f330(f330(f83(a928),x71721),x71722)),f330(f330(f83(a928),x71721),x71723))) % 199.45/199.84 [7221]P108(f330(f50(x72211,x72212),f330(a52,x72213)))+~P108(f330(f50(f330(f81(a1),x72211),f330(f81(a1),x72212)),x72213)) % 199.45/199.84 [7226]E(f330(f330(f23(f935(x72261,a923)),f330(f330(f312(x72261),x72262),x72263)),f330(f330(f312(x72261),x72262),f191(f935(x72261,a923)))),x72263)+P108(f330(f330(f332(x72261),x72262),x72263)) % 199.45/199.84 [7247]E(f330(f330(f104(f935(x72471,a923)),f330(f175(x72471),x72472)),f330(f175(x72471),x72473)),f191(f935(x72471,a923)))+~P108(f330(f140(x72471),f330(f330(f137(x72471),x72472),x72473))) % 199.45/199.84 [7262]~P108(f330(f330(f332(x72621),x72622),f330(f175(x72621),x72623)))+~P108(f330(f140(x72621),f330(f330(f154(x72621),x72622),x72623))) % 199.45/199.84 [7334]P33(x73341,x73342,x73343)+P108(f330(f330(f239(a928),f770(x73343,x73342,x73341)),f330(f192(f929(x73341)),x73343))) % 199.45/199.84 [7344]E(f330(f330(f104(f935(x73441,a923)),x73442),x73443),f191(f935(x73441,a923)))+P108(f330(f330(f332(x73441),f350(x73443,x73442,x73441)),x73442)) % 199.45/199.84 [7345]E(f330(f330(f104(f935(x73451,a923)),x73452),x73453),f191(f935(x73451,a923)))+P108(f330(f330(f332(x73451),f388(x73453,x73452,x73451)),x73453)) % 199.45/199.84 [7348]E(f117(x73481,f330(f330(f178(x73481),x73482),x73483)),f330(f330(f178(x73481),f330(f330(f23(a928),x73482),f80(a928))),x73483))+~P108(f330(f330(f238(a928),x73482),f330(f192(f929(x73481)),x73483))) % 199.45/199.84 [7408]~P35(x74083,x74082,x74081)+P108(f330(f330(f239(a928),f765(x74081,x74082,x74083)),f330(f192(f929(x74083)),x74081))) % 199.45/199.84 [7428]P108(f330(f330(f239(a928),f2(a928)),x74281))+P108(f330(f330(f238(a928),f330(f330(f83(a928),x74282),x74281)),f330(f330(f83(a928),x74283),x74281))) % 199.45/199.84 [7429]P108(f330(f330(f239(a928),f2(a928)),x74291))+P108(f330(f330(f238(a928),f330(f330(f83(a928),x74291),x74292)),f330(f330(f83(a928),x74291),x74293))) % 199.45/199.84 [7432]~P108(f330(f330(f332(x74321),x74322),x74323))+~P108(f330(f330(f332(x74321),x74322),f330(f81(f935(x74321,a923)),x74323))) % 199.45/199.84 [7438]~P108(f330(f330(f239(f935(x74381,a923)),x74382),x74383))+P108(f330(f330(f238(f935(x74381,a923)),x74382),x74383)) % 199.45/199.84 [7546]~P108(f330(f330(f238(a928),x75463),x75462))+P108(f330(f330(f238(a928),f330(f330(f23(a928),x75461),x75462)),f330(f330(f23(a928),x75461),x75463))) % 199.45/199.84 [7547]~P108(f330(f330(f238(a928),x75471),x75473))+P108(f330(f330(f238(a928),f330(f330(f23(a928),x75471),x75472)),f330(f330(f23(a928),x75473),x75472))) % 199.45/199.84 [7549]~P108(f330(f330(f238(a928),x75492),x75493))+P108(f330(f330(f238(a928),f330(f330(f83(a928),x75491),x75492)),f330(f330(f83(a928),x75491),x75493))) % 199.45/199.84 [7551]~P108(f330(f330(f238(a928),x75511),x75513))+P108(f330(f330(f238(a928),f330(f330(f83(a928),x75511),x75512)),f330(f330(f83(a928),x75513),x75512))) % 199.45/199.84 [7552]~P108(f330(f330(f238(a928),x75522),x75523))+P108(f330(f330(f238(a928),f330(f330(f82(a928),x75521),x75522)),f330(f330(f82(a928),x75521),x75523))) % 199.45/199.84 [7553]~P108(f330(f330(f238(a928),x75531),x75533))+P108(f330(f330(f238(a928),f330(f330(f82(a928),x75531),x75532)),f330(f330(f82(a928),x75533),x75532))) % 199.45/199.84 [7554]~P108(f330(f330(f238(a928),x75541),x75543))+P108(f330(f330(f238(a928),f330(f330(f37(a928),x75541),x75542)),f330(f330(f37(a928),x75543),x75542))) % 199.45/199.84 [7555]~P108(f330(f330(f238(a1),x75552),x75553))+P108(f330(f330(f238(a1),f330(f330(f82(a1),x75551),x75552)),f330(f330(f82(a1),x75551),x75553))) % 199.45/199.84 [7558]~P108(f330(f330(f239(a928),x75582),x75583))+P108(f330(f330(f239(a928),f330(f330(f82(a928),x75581),x75582)),f330(f330(f82(a928),x75581),x75583))) % 199.45/199.84 [7559]~P108(f330(f330(f239(a928),x75591),x75593))+P108(f330(f330(f239(a928),f330(f330(f82(a928),x75591),x75592)),f330(f330(f82(a928),x75593),x75592))) % 199.45/199.84 [7560]~P108(f330(f330(f239(a1),x75601),x75603))+P108(f330(f330(f239(a1),f330(f330(f82(a1),x75601),x75602)),f330(f330(f82(a1),x75603),x75602))) % 199.45/199.84 [7563]~P108(f330(f330(f290(a928),x75632),x75633))+P108(f330(f330(f290(a928),f330(f330(f83(a928),x75631),x75632)),f330(f330(f83(a928),x75631),x75633))) % 199.45/199.84 [7637]E(x76371,x76372)+~P108(f330(f330(f332(x76373),x76371),f330(f330(f312(x76373),x76372),f191(f935(x76373,a923))))) % 199.45/199.84 [7639]~E(f330(f330(f104(f935(x76391,a923)),x76392),x76393),f191(f935(x76391,a923)))+P108(f330(f330(f238(f935(x76391,a923)),x76392),f330(f81(f935(x76391,a923)),x76393))) % 199.45/199.84 [7644]P108(f330(f330(f332(f935(x76441,a923)),x76442),f330(f311(x76441),x76443)))+~P108(f330(f330(f238(f935(x76441,a923)),x76442),x76443)) % 199.45/199.84 [7694]E(f330(f330(f154(x76941),f330(f330(f167(x76941),x76942),x76943)),f330(f330(f141(x76941),f330(a115,x76943)),x76942)),f330(f330(f141(x76941),x76943),x76942))+~P108(f330(f330(f239(a928),x76943),f330(f192(f929(x76941)),x76942))) % 199.45/199.84 [7720]P108(f330(f330(f332(f934(x77201,x77201)),x77202),f310(x77201,x77203)))+~P108(f330(f330(f332(f934(x77201,x77201)),x77202),x77203)) % 199.45/199.84 [7729]~P108(f330(f330(f332(f935(x77291,a923)),x77292),f330(f311(x77291),x77293)))+P108(f330(f330(f238(f935(x77291,a923)),x77292),x77293)) % 199.45/199.84 [7773]P108(f330(f330(f238(f935(x77731,a923)),x77732),f38(f935(x77731,a923),x77733)))+~P108(f330(f330(f332(f935(x77731,a923)),x77732),x77733)) % 199.45/199.84 [7797]~P145(x77971)+E(f330(f330(f83(x77971),f330(f330(f247(x77971),f330(f81(x77971),f80(x77971))),x77972)),f330(f330(f247(x77971),x77973),x77972)),f330(f330(f247(x77971),f330(f81(x77971),x77973)),x77972)) % 199.45/199.84 [7819]E(f330(f330(f167(x78191),x78192),f330(f330(f23(a928),f330(f192(f929(x78191)),x78192)),f330(a115,x78193))),f330(f330(f167(x78191),f330(f171(x78191),x78192)),x78193))+~P108(f330(f330(f239(a928),x78193),f330(f192(f929(x78191)),x78192))) % 199.45/199.84 [7836]~E(f330(f330(f104(f935(x78361,a923)),f526(x78363,x78362,x78361)),x78363),f191(f935(x78361,a923)))+E(f330(f330(f104(f935(x78361,a923)),f38(f935(x78361,a923),x78362)),x78363),f191(f935(x78361,a923))) % 199.45/199.84 [7900]~P108(f330(f330(f332(x79003),x79002),f330(f175(x79003),x79001)))+P108(f330(f330(f239(a928),f646(x79001,x79002,x79003)),f330(f192(f929(x79003)),x79001))) % 199.45/199.84 [7908]P108(f330(f330(f332(x79081),f330(f330(f167(x79081),x79082),x79083)),f330(f175(x79081),x79082)))+~P108(f330(f330(f239(a928),x79083),f330(f192(f929(x79081)),x79082))) % 199.45/199.84 [8004]~P108(f330(x80042,f729(x80043,x80042,x80041)))+E(f330(f330(f141(x80041),f330(f192(f929(x80041)),f180(x80041,x80042,x80043))),x80043),f116(x80041)) % 199.45/199.84 [8017]P108(f330(f330(f238(f935(f929(x80171),a923)),f164(x80171,x80172)),f164(x80171,x80173)))+~P108(f330(f330(f238(f935(x80171,a923)),x80172),x80173)) % 199.45/199.84 [8018]P108(f330(f330(f238(f935(f929(x80181),a923)),f163(x80181,x80182)),f163(x80181,x80183)))+~P108(f330(f330(f238(f935(x80181,a923)),x80182),x80183)) % 199.45/199.84 [8044]E(f330(f330(f104(f935(x80441,a923)),f38(f935(x80441,a923),x80442)),x80443),f191(f935(x80441,a923)))+P108(f330(f330(f332(f935(x80441,a923)),f526(x80443,x80442,x80441)),x80442)) % 199.45/199.84 [8046]~P108(f330(f330(f332(f935(x80461,a923)),x80463),x80462))+P108(f330(f330(f238(f935(x80461,a923)),f39(f935(x80461,a923),x80462)),x80463)) % 199.45/199.84 [8048]E(f330(f330(f104(f935(x80481,a923)),x80482),x80483),f191(f935(x80481,a923)))+~P108(f330(f330(f238(f935(x80481,a923)),x80482),f330(f81(f935(x80481,a923)),x80483))) % 199.45/199.84 [8096]E(f330(f330(f23(a928),f330(f330(f82(a928),f330(f168(a928),x80961)),x80962)),f330(f330(f167(a928),x80961),x80963)),f330(f168(a928),f330(f330(f162(a928,x80961),x80963),x80962)))+~P108(f330(f330(f239(a928),x80963),f330(f192(f929(a928)),x80961))) % 199.45/199.84 [8147]P108(f330(f330(f238(a928),x81471),x81472))+~P108(f330(f330(f238(a928),f330(f330(f82(a928),x81473),x81471)),f330(f330(f82(a928),x81473),x81472))) % 199.45/199.84 [8150]P108(f330(f330(f239(a928),x81501),x81502))+~P108(f330(f330(f239(a928),f330(f330(f82(a928),x81503),x81501)),f330(f330(f82(a928),x81503),x81502))) % 199.45/199.84 [8151]P108(f330(f330(f239(a928),x81511),x81512))+~P108(f330(f330(f239(a928),f330(f330(f83(a928),x81513),x81511)),f330(f330(f83(a928),x81513),x81512))) % 199.45/199.84 [8152]P108(f330(f330(f239(a928),x81521),x81522))+~P108(f330(f330(f239(a928),f330(f330(f83(a928),x81521),x81523)),f330(f330(f83(a928),x81522),x81523))) % 199.45/199.84 [8181]P108(f330(f330(f239(a928),f2(a928)),x81811))+~P108(f330(f330(f239(a928),f330(f330(f83(a928),x81812),x81811)),f330(f330(f83(a928),x81813),x81811))) % 199.45/199.84 [8182]P108(f330(f330(f239(a928),f2(a928)),x81821))+~P108(f330(f330(f239(a928),f330(f330(f83(a928),x81821),x81822)),f330(f330(f83(a928),x81821),x81823))) % 199.45/199.84 [8255]E(f250(x82551,x82552,x82553),x82552)+~P108(f330(f330(f238(f935(x82551,a923)),x82553),f330(f330(f312(x82551),x82552),f191(f935(x82551,a923))))) % 199.45/199.84 [8305]~P108(f330(f140(x83051),x83053))+E(f330(f139(x83051,f330(f330(f8(a923,a923,x83051),a325),f330(a327,x83052))),x83053),f173(x83051,x83052,x83053)) % 199.45/199.84 [8330]E(f330(f330(f141(x83301),f330(f192(f929(x83301)),f180(x83301,x83302,x83303))),x83303),f116(x83301))+P108(f330(f330(f332(x83301),f729(x83303,x83302,x83301)),f330(f175(x83301),x83303))) % 199.45/199.84 [8334]E(f330(f330(f137(x83341),f330(f330(f178(x83341),x83342),x83343)),f330(f330(f154(x83341),f330(f330(f167(x83341),x83343),x83342)),f116(x83341))),f330(f330(f178(x83341),f330(a115,x83342)),x83343))+~P108(f330(f330(f239(a928),x83342),f330(f192(f929(x83341)),x83343))) % 199.45/199.84 [8399]E(f330(f139(x83991,f330(f330(f8(a923,a923,x83991),a325),f330(a327,x83992))),x83993),x83993)+P108(f330(f330(f332(x83991),x83992),f330(f175(x83991),x83993))) % 199.45/199.84 [8405]P108(f330(f330(f238(f935(f935(x84051,a923),a923)),f251(x84051,x84052)),f251(x84051,x84053)))+~P108(f330(f330(f238(f935(x84051,a923)),x84052),x84053)) % 199.45/199.84 [8444]~P108(f330(f140(x84441),x84443))+P108(f330(f140(x84441),f330(f330(f330(f186(f929(x84441),f929(x84441)),x84442),f170(x84441)),x84443))) % 199.45/199.84 [8450]~P108(f330(f330(f239(a928),x84502),x84503))+P108(f330(f330(f239(a928),f330(f330(f83(a928),f330(a115,x84501)),x84502)),f330(f330(f83(a928),f330(a115,x84501)),x84503))) % 199.45/199.84 [8470]P108(f330(f330(f238(f935(f935(x84701,a923),a923)),f330(f311(x84701),x84702)),f330(f311(x84701),x84703)))+~P108(f330(f330(f238(f935(x84701,a923)),x84702),x84703)) % 199.45/199.84 [8539]~E(f330(f313(x85391,x85392,x85393),f245(f935(x85391,a923))),f245(f935(x85392,a923)))+E(f330(f74(x85391,x85392,x85392,x85393),f94(x85391,x85392,f245(f935(x85391,a923)),x85393)),f33(x85392)) % 199.45/199.84 [8633]~P108(f330(f330(f238(f935(x86331,a923)),x86333),x86332))+P108(f330(f330(f238(f935(x86331,a923)),f330(f81(f935(x86331,a923)),x86332)),f330(f81(f935(x86331,a923)),x86333))) % 199.45/199.84 [8667]E(f330(f313(a928,a928,f330(f330(f7(a928,a928,a928),f23(a928)),x86671)),f330(f305(a928,x86672),x86673)),f330(f305(a928,f330(f330(f23(a928),x86672),x86671)),f330(f330(f23(a928),x86673),x86671)))+~P108(f330(f330(f239(a928),x86671),x86673)) % 199.45/199.84 [8693]~P82(x86931)+E(f330(f330(f82(x86931),x86932),f330(f145(x86931,x86931,f82(x86931),f2(x86931)),x86933)),f330(f145(x86931,x86931,f82(x86931),x86932),x86933)) % 199.45/199.84 [8768]~P86(x87681)+P108(f330(f330(f238(x87681),f330(f77(x87681),f330(f330(f23(x87681),x87682),x87683))),f330(f330(f82(x87681),f330(f77(x87681),x87682)),f330(f77(x87681),x87683)))) % 199.45/199.84 [8769]~P86(x87691)+P108(f330(f330(f238(x87691),f330(f77(x87691),f330(f330(f82(x87691),x87692),x87693))),f330(f330(f82(x87691),f330(f77(x87691),x87692)),f330(f77(x87691),x87693)))) % 199.45/199.84 [8780]E(f330(f330(f82(a1),f330(f330(f83(a1),x87801),f46(a1,f330(f330(f37(a1),x87802),x87801),x87803))),f46(a1,x87802,x87801)),f46(a1,x87802,f330(f330(f83(a1),x87801),x87803)))+~P108(f330(f330(f239(a1),f2(a1)),x87803)) % 199.45/199.84 [8786]E(f330(f330(f137(x87861),f330(f330(f178(x87861),x87862),x87863)),f330(f330(f154(x87861),f330(f144(x87861),f330(f330(f141(x87861),x87862),x87863))),f116(x87861))),f330(f330(f178(x87861),f330(a115,x87862)),x87863))+~P108(f330(f330(f239(a928),x87862),f330(f192(f929(x87861)),x87863))) % 199.45/199.84 [8806]E(f330(f271(x88061,f330(f330(f157(x88061,f934(a102,x88061)),f330(f255(a102,x88061),f80(a102))),x88062)),f330(a3,x88063)),f330(f330(f167(x88061),x88062),x88063))+~P108(f330(f330(f239(a928),x88063),f330(f192(f929(x88061)),x88062))) % 199.45/199.84 [8874]P108(f330(f330(f332(f934(x88741,x88741)),x88742),f330(f330(f292(x88741,x88741,x88741),x88743),f310(x88741,x88743))))+~P108(f330(f330(f332(f934(x88741,x88741)),x88742),x88743)) % 199.45/199.84 [8885]E(f330(f313(x88851,x88852,x88853),f245(f935(x88851,a923))),f245(f935(x88852,a923)))+~E(f330(f74(x88851,x88852,x88852,x88853),f94(x88851,x88852,f245(f935(x88851,a923)),x88853)),f33(x88852)) % 199.45/199.84 [8894]P108(f330(f330(f238(a928),x88941),x88942))+~P108(f330(f330(f238(a928),f330(f330(f83(a928),f330(a115,x88943)),x88941)),f330(f330(f83(a928),f330(a115,x88943)),x88942))) % 199.45/199.84 [8910]P108(f330(f330(f238(f935(x89101,a923)),x89102),x89103))+~P108(f330(f330(f238(f935(x89101,a923)),f330(f81(f935(x89101,a923)),x89103)),f330(f81(f935(x89101,a923)),x89102))) % 199.45/199.84 [8933]P108(f330(f140(x89331),x89332))+~P108(f330(f140(x89331),f330(f330(f330(f186(f929(x89331),f929(x89331)),x89333),f170(x89331)),x89332))) % 199.45/199.84 [9006]E(f330(f288(x90061,x90061,f310(x90061,x90062)),x90063),x90063)+~P108(f330(f330(f238(f935(x90061,a923)),f330(f288(x90061,x90061,x90062),x90063)),x90063)) % 199.45/199.84 [9054]~P110(x90541)+P13(x90541,f330(f139(x90541,f330(f330(f7(x90541,x90541,a923),a327),f330(x90542,x90543))),x90543)) % 199.45/199.84 [9061]~P108(f330(f330(f238(a928),x90611),x90612))+P108(f330(f330(f238(a928),x90611),f330(f145(a928,a928,f82(a928),x90612),x90613))) % 199.45/199.84 [9147]~P108(f330(f330(f332(f934(x91471,x91471)),x91472),f310(x91471,x91473)))+P108(f330(f330(f332(f934(x91471,x91471)),x91472),f330(f330(f186(f934(x91471,x91471),a923),f627(x91473,x91472,x91471)),x91473))) % 199.45/199.84 [9233]~P82(x92331)+E(f330(f330(f82(x92331),x92332),f330(f145(x92331,x92331,f330(f7(x92331,x92331,x92331),f82(x92331)),f2(x92331)),f330(f171(x92331),x92333))),f330(f145(x92331,x92331,f82(x92331),x92332),x92333)) % 199.45/199.84 [9350]~P26(x93502,x93501,x93503,f245(f935(x93502,a923)),f245(f935(x93501,a923)))+E(f94(x93501,x93502,f245(f935(x93501,a923)),f94(x93502,x93501,f245(f935(x93502,a923)),x93503)),x93503) % 199.45/199.84 [9503]P57(x95031,x95032,x95033)+P108(f330(f330(f332(f934(x95031,x95032)),f330(f330(f255(x95031,x95032),f617(x95033,x95032,x95031)),f597(x95033,x95032,x95031))),x95033)) % 199.45/199.84 [9504]P57(x95041,x95042,x95043)+P108(f330(f330(f332(f934(x95041,x95042)),f330(f330(f255(x95041,x95042),f617(x95043,x95042,x95041)),f596(x95043,x95042,x95041))),x95043)) % 199.45/199.84 [9572]~P108(f330(f330(f332(f934(x95721,x95721)),x95722),f330(f330(f292(x95721,x95721,x95721),x95723),f310(x95721,x95723))))+P108(f330(f330(f332(f934(x95721,x95721)),x95722),f330(f330(f186(f934(x95721,x95721),a923),f628(x95723,x95722,x95721)),x95723))) % 199.45/199.84 [9573]~P108(f330(x95731,f330(f330(f167(x95732),x95733),f330(f192(f929(x95732)),f180(x95732,x95731,x95733)))))+~P108(f330(f330(f239(a928),f330(f192(f929(x95732)),f180(x95732,x95731,x95733))),f330(f192(f929(x95732)),x95733))) % 199.45/199.84 [9664]~P108(f330(f330(f238(f935(x96641,a923)),x96642),x96643))+P108(f330(f330(f238(f935(x96641,a923)),f330(f330(f7(x96641,f935(x96641,a923),a923),f332(x96641)),x96642)),f330(f330(f7(x96641,f935(x96641,a923),a923),f332(x96641)),x96643))) % 199.45/199.84 [9721]~P108(f330(f330(f332(f934(f935(x97211,a923),f935(x97211,a923))),f330(f330(f255(f935(x97211,a923),f935(x97211,a923)),x97212),x97213)),f317(x97211)))+P108(f330(f330(f239(f935(x97211,a923)),x97212),x97213)) % 199.45/199.84 [9745]P58(x97451,x97452,x97453)+~P108(f330(f330(f332(f934(x97451,x97451)),f330(f330(f255(x97451,x97451),f620(x97453,x97452,x97451)),f619(x97453,x97452,x97451))),x97453)) % 199.45/199.84 [9746]P58(x97461,x97462,x97463)+~P108(f330(f330(f332(f934(x97461,x97461)),f330(f330(f255(x97461,x97461),f619(x97463,x97462,x97461)),f620(x97463,x97462,x97461))),x97463)) % 199.45/199.84 [9784]~P108(f330(f330(f332(f934(f929(x97841),f929(x97841))),f330(f330(f255(f929(x97841),f929(x97841)),x97842),x97842)),f150(x97841,x97843)))+P108(f330(f330(f332(f934(x97841,x97841)),f330(f330(f255(x97841,x97841),f667(x97842,x97843,x97841)),f667(x97842,x97843,x97841))),x97843)) % 199.45/199.84 [9834]P108(f330(f330(f238(f935(x98341,a923)),x98342),x98343))+~P108(f330(f330(f238(f935(x98341,a923)),f330(f330(f7(x98341,f935(x98341,a923),a923),f332(x98341)),x98342)),f330(f330(f7(x98341,f935(x98341,a923),a923),f332(x98341)),x98343))) % 199.45/199.84 [9915]E(f330(f330(f23(a928),f330(f330(f6(a928,a928),x99151),f330(f285(a928),x99152))),f330(f330(f6(a928,a928),x99153),f330(f285(a928),x99152))),f330(f330(f6(a928,a928),f330(f330(f18(a928,a928,a928),f330(f330(f8(a928,f935(a928,a928),a928),f23(a928)),x99151)),x99153)),f330(f285(a928),x99152)))+~P108(f330(f330(f238(a928),f330(x99153,f497(x99152,x99151,x99153))),f330(x99151,f497(x99152,x99151,x99153)))) % 199.45/199.84 [5901]~P77(x59011)+E(f330(f330(f23(x59011),f330(f330(f82(x59011),x59012),x59013)),x59013),x59012) % 199.45/199.84 [5902]~P77(x59021)+E(f330(f330(f82(x59021),f330(f330(f23(x59021),x59022),x59023)),x59023),x59022) % 199.45/199.84 [6127]~P77(x61271)+E(f330(f330(f82(x61271),x61272),f330(f330(f82(x61271),f330(f81(x61271),x61272)),x61273)),x61273) % 199.45/199.84 [6215]~P81(x62151)+E(f330(f330(f83(x62151),f330(f330(f247(x62151),x62152),x62153)),x62152),f330(f330(f247(x62151),x62152),f330(a115,x62153))) % 199.45/199.84 [6216]~P114(x62161)+E(f330(f330(f83(x62161),f330(f330(f247(x62161),x62162),x62163)),x62162),f330(f330(f247(x62161),x62162),f330(a115,x62163))) % 199.45/199.84 [6435]~P121(x64351)+E(f330(f77(x64351),f330(f330(f247(x64351),f330(f81(x64351),x64352)),x64353)),f330(f77(x64351),f330(f330(f247(x64351),x64352),x64353))) % 199.45/199.84 [6479]~P81(x64791)+E(f330(f330(f83(x64791),f330(f330(f247(x64791),x64792),x64793)),x64792),f330(f330(f83(x64791),x64792),f330(f330(f247(x64791),x64792),x64793))) % 199.45/199.84 [6538]E(f330(f330(f23(a102),f330(f330(f82(a102),x65381),x65382)),x65383),f277(x65381,x65382,x65383))+~P108(f330(f330(f239(a102),x65382),x65383)) % 199.45/199.84 [6562]~E(f330(f330(f141(x65621),x65623),x65622),f116(x65621))+P108(f330(f330(f238(a928),f330(f192(f929(x65621)),x65622)),x65623)) % 199.45/199.84 [6699]E(f330(f330(f83(a928),f330(f106(a928),x66991)),f330(f330(f83(a928),f330(f106(a928),x66992)),x66993)),f2(a928))+~P108(f330(f330(f239(a1),x66991),a85)) % 199.45/199.84 [6716]~P66(x67161)+E(f330(f330(f247(x67161),f330(f330(f294(x67161),f80(x67161)),x67162)),x67163),f330(f330(f294(x67161),f80(x67161)),f330(f330(f247(x67161),x67162),x67163))) % 199.45/199.84 [6795]E(f330(f330(f23(a928),f330(f330(f82(a928),x67951),x67952)),x67953),f330(f330(f23(a928),x67951),f330(f330(f23(a928),x67953),x67952)))+~P108(f330(f330(f238(a928),x67952),x67953)) % 199.45/199.84 [6797]E(f330(f330(f23(a928),f330(f330(f82(a928),x67971),x67972)),x67973),f330(f330(f82(a928),x67971),f330(f330(f23(a928),x67972),x67973)))+~P108(f330(f330(f238(a928),x67973),x67972)) % 199.45/199.84 [6834]~P110(x68341)+P108(f330(f330(f238(x68341),f330(f330(f236(x68341),x68342),x68343)),x68343)) % 199.45/199.84 [6835]~P110(x68351)+P108(f330(f330(f238(x68351),f330(f330(f236(x68351),x68352),x68353)),x68352)) % 199.45/199.84 [6836]~P99(x68361)+P108(f330(f330(f238(x68361),f330(f330(f104(x68361),x68362),x68363)),x68363)) % 199.45/199.84 [6837]~P104(x68371)+P108(f330(f330(f238(x68371),f330(f330(f104(x68371),x68372),x68373)),x68373)) % 199.45/199.84 [6838]~P99(x68381)+P108(f330(f330(f238(x68381),f330(f330(f104(x68381),x68382),x68383)),x68382)) % 199.45/199.84 [6839]~P104(x68391)+P108(f330(f330(f238(x68391),f330(f330(f104(x68391),x68392),x68393)),x68392)) % 199.45/199.84 [6852]E(f330(f330(f37(a1),f330(f330(f37(a1),x68521),x68522)),x68523),f330(f330(f37(a1),x68521),f330(f330(f83(a1),x68522),x68523)))+~P108(f330(f330(f239(a1),f2(a1)),x68523)) % 199.45/199.84 [6904]~P114(x69041)+E(f330(f330(f82(x69041),f330(f330(f83(x69041),x69042),x69043)),x69043),f330(f330(f83(x69041),f330(f330(f82(x69041),x69042),f80(x69041))),x69043)) % 199.45/199.84 [6905]~P95(x69051)+E(f330(f330(f83(x69051),f330(f81(x69051),f330(f106(x69051),x69052))),x69053),f330(f330(f83(x69051),f330(f106(x69051),f330(f81(a1),x69052))),x69053)) % 199.45/199.84 [6976]~P82(x69761)+E(f330(f168(x69761),f330(f330(f157(x69762,x69761),f330(f16(x69761,x69762),f2(x69761))),x69763)),f2(x69761)) % 199.45/199.84 [6991]E(f330(f330(f82(a928),f330(f106(a928),x69911)),f330(f330(f82(a928),f330(f106(a928),x69912)),x69913)),f330(f330(f82(a928),f330(f106(a928),x69912)),x69913))+~P108(f330(a196,f330(f106(a1),x69911))) % 199.45/199.84 [7006]~P5(x70061)+E(f39(x70061,f330(f330(f312(x70061),x70062),f330(f330(f312(x70061),x70063),f191(f935(x70061,a923))))),f330(f330(f104(x70061),x70062),x70063)) % 199.45/199.84 [7007]~P5(x70071)+E(f38(x70071,f330(f330(f312(x70071),x70072),f330(f330(f312(x70071),x70073),f191(f935(x70071,a923))))),f330(f330(f113(x70071),x70072),x70073)) % 199.45/199.84 [7030]E(f330(f330(f178(x70301),x70302),x70303),x70303)+~P108(f330(f330(f238(a928),f330(f192(f929(x70301)),x70303)),x70302)) % 199.45/199.84 [7042]E(f330(f330(f141(x70421),x70422),x70423),f116(x70421))+~P108(f330(f330(f238(a928),f330(f192(f929(x70421)),x70423)),x70422)) % 199.45/199.84 [7053]E(f330(f330(f82(a928),f330(f330(f23(a928),x70531),x70532)),x70533),f330(f330(f23(a928),f330(f330(f82(a928),x70531),x70533)),x70532))+~P108(f330(f330(f238(a928),x70532),x70531)) % 199.45/199.84 [7067]~P108(f330(f330(f239(a928),x70671),x70673))+P108(f330(f330(f239(a928),f330(f330(f23(a928),x70671),x70672)),x70673)) % 199.45/199.84 [7094]~P110(x70941)+E(f173(x70941,x70942,f330(f330(f151(x70941,x70941,f5(x70941)),x70942),x70943)),x70943) % 199.45/199.84 [7185]E(f330(f330(f23(a928),f330(f330(f82(a928),x71851),x71852)),f330(a115,x71853)),f330(f330(f23(a928),x71851),f330(a115,f330(f330(f23(a928),x71853),x71852))))+~P108(f330(f330(f238(a928),x71852),x71853)) % 199.45/199.84 [7186]~P121(x71861)+P108(f330(f330(f238(x71861),f2(x71861)),f330(f330(f247(x71861),f330(f77(x71861),x71862)),x71863))) % 199.45/199.84 [7231]P24(x72311,x72312,x72313)+~P108(f330(f330(f238(f935(f927(x72311),a923)),x72313),x72312)) % 199.45/199.84 [7273]~P108(f330(f62(x72731),x72732))+P108(f330(f62(x72731),f330(f330(f23(f935(x72731,a923)),x72732),x72733))) % 199.45/199.84 [7274]~P108(f330(f62(x72741),x72743))+P108(f330(f62(x72741),f330(f330(f104(f935(x72741,a923)),x72742),x72743))) % 199.45/199.84 [7275]~P108(f330(f62(x72751),x72752))+P108(f330(f62(x72751),f330(f330(f104(f935(x72751,a923)),x72752),x72753))) % 199.45/199.84 [7418]~P39(x74181,x74183)+P39(x74181,f330(f330(f104(f935(f934(x74181,x74181),a923)),x74182),x74183)) % 199.45/199.84 [7419]~P39(x74191,x74192)+P39(x74191,f330(f330(f104(f935(f934(x74191,x74191),a923)),x74192),x74193)) % 199.45/199.84 [7542]~P110(x75421)+E(f14(x75421,f330(f175(x75421),f330(f330(f154(x75421),x75422),x75423))),f330(f145(x75421,x75421,f236(x75421),x75422),x75423)) % 199.45/199.84 [7543]~P110(x75431)+E(f15(x75431,f330(f175(x75431),f330(f330(f154(x75431),x75432),x75433))),f330(f145(x75431,x75431,f237(x75431),x75432),x75433)) % 199.45/199.84 [7544]~P99(x75441)+E(f13(x75441,f330(f175(x75441),f330(f330(f154(x75441),x75442),x75443))),f330(f145(x75441,x75441,f113(x75441),x75442),x75443)) % 199.45/199.84 [7545]~P99(x75451)+E(f10(x75451,f330(f175(x75451),f330(f330(f154(x75451),x75452),x75453))),f330(f145(x75451,x75451,f104(x75451),x75452),x75453)) % 199.45/199.84 [7606]~P108(f330(f62(x76061),x76062))+P108(f330(f330(f238(a928),f330(f36(x76061),x76062)),f330(f36(x76061),f330(f330(f312(x76061),x76063),x76062)))) % 199.45/199.84 [7613]E(f330(f330(f113(f935(a928,a923)),f330(f305(a928,x76131),x76132)),f330(f305(a928,x76132),f330(f330(f82(a928),x76132),x76133))),f330(f305(a928,x76131),f330(f330(f82(a928),x76132),x76133)))+~P108(f330(f330(f238(a928),x76131),x76132)) % 199.45/199.84 [7622]P108(f330(f330(f238(a928),x76221),x76222))+~P108(f330(f330(f238(a928),f330(f330(f82(a928),x76223),x76221)),x76222)) % 199.45/199.84 [7623]P108(f330(f330(f238(a928),x76231),x76232))+~P108(f330(f330(f238(a928),f330(f330(f82(a928),x76231),x76233)),x76232)) % 199.45/199.84 [7624]P108(f330(f330(f239(a928),x76241),x76242))+~P108(f330(f330(f239(a928),f330(f330(f82(a928),x76241),x76243)),x76242)) % 199.45/199.84 [7661]~P110(x76611)+E(f11(x76611,f236(x76611),f330(f175(x76611),f330(f330(f154(x76611),x76612),x76613))),f330(f145(x76611,x76611,f236(x76611),x76612),x76613)) % 199.45/199.84 [7662]~P110(x76621)+E(f12(x76621,f237(x76621),f330(f175(x76621),f330(f330(f154(x76621),x76622),x76623))),f330(f145(x76621,x76621,f237(x76621),x76622),x76623)) % 199.45/199.84 [7666]~E(x76662,f191(f935(f934(x76661,x76661),a923)))+P108(f330(f330(f238(f935(f934(x76661,x76661),a923)),x76662),x76663)) % 199.45/199.84 [7768]E(f330(f330(f113(f935(x77681,a923)),x77682),f330(f330(f23(f935(x77681,a923)),x77683),x77682)),x77683)+~P108(f330(f330(f238(f935(x77681,a923)),x77682),x77683)) % 199.45/199.84 [7769]~P108(f330(f330(f238(a928),x77691),f330(f330(f82(a928),x77693),x77692)))+P108(f330(f330(f238(a928),f330(f330(f23(a928),x77691),x77692)),x77693)) % 199.45/199.84 [7770]~P108(f330(f330(f239(a928),x77701),f330(f330(f23(a928),x77703),x77702)))+P108(f330(f330(f239(a928),f330(f330(f82(a928),x77701),x77702)),x77703)) % 199.45/199.84 [7826]E(x78261,f116(x78262))+E(f330(f144(x78262),f330(f330(f330(f186(f929(x78262),f929(x78262)),x78263),f170(x78262)),x78261)),f330(f330(f167(x78262),x78261),f46(a928,x78263,f330(f192(f929(x78262)),x78261)))) % 199.45/199.84 [7835]E(f330(f330(f312(x78351),x78352),f330(f330(f23(f935(x78351,a923)),x78353),f330(f330(f312(x78351),x78352),f191(f935(x78351,a923))))),x78353)+~P108(f330(f330(f332(x78351),x78352),x78353)) % 199.45/199.84 [7995]P108(f330(f330(f238(a928),x79951),f330(f330(f82(a928),x79952),x79953)))+~P108(f330(f330(f238(a928),f330(f330(f23(a928),x79951),x79953)),x79952)) % 199.45/199.84 [7996]P108(f330(f330(f239(a928),x79961),f330(f330(f23(a928),x79962),x79963)))+~P108(f330(f330(f239(a928),f330(f330(f82(a928),x79961),x79963)),x79962)) % 199.45/199.84 [8021]P108(f330(f62(x80211),x80212))+~P108(f330(f62(x80211),f330(f330(f113(f935(x80211,a923)),x80213),x80212))) % 199.45/199.84 [8022]P108(f330(f62(x80221),x80222))+~P108(f330(f62(x80221),f330(f330(f113(f935(x80221,a923)),x80222),x80223))) % 199.45/199.84 [8095]~P48(x80951,x80953)+P108(f330(f330(f332(f934(x80951,x80951)),f330(f330(f255(x80951,x80951),x80952),x80952)),x80953)) % 199.45/199.84 [8228]E(f330(f330(f167(a928),f142(a928,f330(f305(a928,x82281),x82282))),x82283),f330(f330(f82(a928),x82281),x82283))+~P108(f330(f330(f239(a928),f330(f330(f82(a928),x82281),x82283)),x82282)) % 199.45/199.84 [8294]E(f330(f330(f178(a928),x82941),f142(a928,f330(f305(a928,x82942),x82943))),f142(a928,f330(f305(a928,x82942),f330(f330(f82(a928),x82942),x82941))))+~P108(f330(f330(f238(a928),f330(f330(f82(a928),x82942),x82941)),x82943)) % 199.45/199.84 [8350]~P95(x83501)+E(f330(f330(f247(x83501),x83502),f330(f106(a928),f330(f330(f82(a1),x83503),x83503))),f330(f330(f88(x83501,x83501),f330(f330(f247(x83501),x83502),f330(f106(a928),x83503))),f330(f330(f18(x83501,x83501,x83501),f83(x83501)),f5(x83501)))) % 199.45/199.84 [8614]E(f330(f330(f137(x86141),f330(f330(f178(x86141),x86142),x86143)),f330(f330(f154(x86141),f330(f330(f167(x86141),x86143),x86142)),f330(f330(f141(x86141),f330(a115,x86142)),x86143))),x86143)+~P108(f330(f330(f239(a928),x86142),f330(f192(f929(x86141)),x86143))) % 199.45/199.84 [8621]P108(f330(f330(f238(f935(x86211,a923)),f318(x86211,x86212)),f318(x86211,x86213)))+~P108(f330(f330(f238(f935(x86211,f935(x86211,a923))),x86213),x86212)) % 199.45/199.84 [8622]~P58(x86221,x86222,x86223)+P58(x86221,x86222,f330(f330(f23(f935(f934(x86221,x86221),a923)),x86223),f310(x86221,f191(f935(f934(x86221,x86221),a923))))) % 199.45/199.84 [8641]P108(f330(f330(f238(f935(x86411,a923)),f319(x86411,x86412)),f319(x86411,x86413)))+~P108(f330(f330(f238(f935(f934(x86411,x86411),a923)),x86413),x86412)) % 199.45/199.84 [8647]~P108(f330(f330(f239(f935(x86471,a923)),x86473),x86472))+P108(f330(f330(f332(x86471),f525(x86472,x86473,x86471)),f330(f330(f23(f935(x86471,a923)),x86472),x86473))) % 199.45/199.84 [8649]~P128(x86491)+P108(f330(f330(f238(x86491),f2(x86491)),f330(f330(f82(x86491),f330(f330(f83(x86491),x86492),x86492)),f330(f330(f83(x86491),x86493),x86493)))) % 199.45/199.84 [8682]P108(f330(f330(f238(f935(x86821,a923)),f330(f284(x86821),x86822)),f330(f284(x86821),x86823)))+~P108(f330(f330(f238(f935(f934(x86821,x86821),a923)),x86822),x86823)) % 199.45/199.84 [8711]~P56(x87111,x87112)+~P108(f330(f330(f332(f934(x87111,x87111)),f330(f330(f255(x87111,x87111),x87113),x87113)),x87112)) % 199.45/199.84 [8713]~P39(x87131,x87132)+~P108(f330(f330(f332(f934(x87131,x87131)),f330(f330(f255(x87131,x87131),x87133),x87133)),x87132)) % 199.45/199.84 [8770]P108(f330(f330(f238(f935(x87701,a923)),f39(f935(x87701,a923),x87702)),f39(f935(x87701,a923),x87703)))+~P108(f330(f330(f238(f935(f935(x87701,a923),a923)),x87703),x87702)) % 199.45/199.84 [8771]P108(f330(f330(f238(f935(x87711,a923)),f38(f935(x87711,a923),x87712)),f38(f935(x87711,a923),x87713)))+~P108(f330(f330(f238(f935(f935(x87711,a923),a923)),x87712),x87713)) % 199.45/199.84 [8825]~P8(x88251,x88253,x88252)+P108(f330(f330(f238(f935(f934(x88251,x88251),a923)),x88252),f330(f330(f257(x88251,x88251),x88253),f330(f16(f935(x88251,a923),x88251),x88253)))) % 199.45/199.84 [8826]~P55(x88261,x88263,x88262)+P108(f330(f330(f238(f935(f934(x88261,x88261),a923)),x88262),f330(f330(f257(x88261,x88261),x88263),f330(f16(f935(x88261,a923),x88261),x88263)))) % 199.45/199.84 [8875]~P86(x88751)+P108(f330(f330(f238(x88751),f330(f330(f23(x88751),f330(f77(x88751),x88752)),f330(f77(x88751),x88753))),f330(f77(x88751),f330(f330(f23(x88751),x88753),x88752)))) % 199.45/199.84 [8876]~P86(x88761)+P108(f330(f330(f238(x88761),f330(f330(f23(x88761),f330(f77(x88761),x88762)),f330(f77(x88761),x88763))),f330(f77(x88761),f330(f330(f23(x88761),x88762),x88763)))) % 199.45/199.84 [8908]P108(f330(f330(f238(f935(f934(x89081,x89081),a923)),f310(x89081,x89082)),f310(x89081,x89083)))+~P108(f330(f330(f238(f935(f934(x89081,x89081),a923)),x89082),x89083)) % 199.45/199.84 [9019]~P25(x90192,x90191,x90193,f245(f935(x90192,a923)))+E(f330(f74(x90191,x90192,x90192,f94(x90192,x90191,f245(f935(x90192,a923)),x90193)),x90193),f33(x90192)) % 199.45/199.84 [9079]P58(x90791,x90792,x90793)+~P58(x90791,x90792,f330(f330(f23(f935(f934(x90791,x90791),a923)),x90793),f310(x90791,f191(f935(f934(x90791,x90791),a923))))) % 199.45/199.84 [9099]P108(f330(f330(f238(f935(f934(f929(x90991),f929(x90991)),a923)),f160(x90991,x90992)),f160(x90991,x90993)))+~P108(f330(f330(f238(f935(f934(x90991,x90991),a923)),x90992),x90993)) % 199.45/199.84 [9100]P108(f330(f330(f238(f935(f934(f929(x91001),f929(x91001)),a923)),f161(x91001,x91002)),f161(x91001,x91003)))+~P108(f330(f330(f238(f935(f934(x91001,x91001),a923)),x91002),x91003)) % 199.45/199.84 [9121]~P55(x91211,x91213,x91212)+P108(f330(f330(f238(f935(f934(x91211,x91211),a923)),x91212),f330(f330(f292(x91211,x91211,x91211),f330(f289(x91211,x91211),x91212)),x91212))) % 199.45/199.84 [9176]~P108(f330(f140(x91761),x91762))+E(f330(f139(x91761,f330(f330(f7(x91761,f935(x91761,a923),a923),f332(x91761)),f330(f175(x91761),f179(x91761,x91762,x91763)))),x91762),f179(x91761,x91762,x91763)) % 199.45/199.84 [9231]E(x92311,x92312)+~P108(f330(f330(f332(f934(x92313,x92313)),f330(f330(f255(x92313,x92313),x92311),x92312)),f310(x92313,f191(f935(f934(x92313,x92313),a923))))) % 199.45/199.84 [9313]P108(f330(f330(f332(x93131),x93132),f319(x93131,x93133)))+P108(f330(f330(f332(f934(x93131,x93131)),f330(f330(f255(x93131,x93131),f494(x93133,x93132,x93131)),x93132)),x93133)) % 199.45/199.84 [9314]P108(f330(f330(f332(x93141),x93142),f319(x93141,x93143)))+P108(f330(f330(f332(f934(x93141,x93141)),f330(f330(f255(x93141,x93141),f600(x93143,x93142,x93141)),x93142)),x93143)) % 199.45/199.84 [9315]P108(f330(f330(f332(x93151),x93152),f319(x93151,x93153)))+P108(f330(f330(f332(f934(x93151,x93151)),f330(f330(f255(x93151,x93151),f602(x93153,x93152,x93151)),x93152)),x93153)) % 199.45/199.84 [9351]P25(x93511,x93512,x93513,f245(f935(x93511,a923)))+~E(f330(f74(x93512,x93511,x93511,f94(x93511,x93512,f245(f935(x93511,a923)),x93513)),x93513),f33(x93511)) % 199.45/199.84 [9405]~P108(f330(f330(f332(f929(x94051)),x94053),f164(x94051,x94052)))+P108(f330(f163(x94051,f330(f330(f7(x94051,f935(x94051,a923),a923),f332(x94051)),x94052)),x94053)) % 199.45/199.84 [9428]P108(f330(x94283,x94282))+E(f330(f265(x94281),f330(f330(f18(x94281,a923,a923),f330(f330(f8(a923,f935(a923,a923),x94281),a328),f330(a327,x94282))),x94283)),f191(f935(x94281,a923))) % 199.45/199.84 [9444]~P86(x94441)+P108(f330(f330(f238(x94441),f330(f77(x94441),f330(f330(f23(x94441),f330(f77(x94441),x94442)),f330(f77(x94441),x94443)))),f330(f77(x94441),f330(f330(f23(x94441),x94442),x94443)))) % 199.45/199.84 [9458]~P108(f330(x94583,x94582))+E(f330(f265(x94581),f330(f330(f18(x94581,a923,a923),f330(f330(f8(a923,f935(a923,a923),x94581),a328),f330(a327,x94582))),x94583)),f330(f330(f312(x94581),x94582),f191(f935(x94581,a923)))) % 199.45/199.84 [9467]~P108(f330(f330(f332(f935(x94671,a923)),x94673),f330(f311(x94671),x94672)))+P108(f330(f251(x94671,f330(f330(f7(x94671,f935(x94671,a923),a923),f332(x94671)),x94672)),x94673)) % 199.45/199.84 [9502]P39(x95021,x95022)+P108(f330(f330(f332(f934(x95021,x95021)),f330(f330(f255(x95021,x95021),f330(f529(x95022,x95021),f330(a115,x95023))),f330(f529(x95022,x95021),x95023))),x95022)) % 199.45/199.84 [9641]P108(f330(f330(f332(f929(x96411)),x96412),f164(x96411,x96413)))+~P108(f330(f163(x96411,f330(f330(f7(x96411,f935(x96411,a923),a923),f332(x96411)),x96413)),x96412)) % 199.45/199.84 [9656]P108(f330(f330(f332(f935(x96561,a923)),x96562),f330(f311(x96561),x96563)))+~P108(f330(f251(x96561,f330(f330(f7(x96561,f935(x96561,a923),a923),f332(x96561)),x96563)),x96562)) % 199.45/199.84 [9716]P108(f330(f330(f332(x97161),f330(f271(x97161,x97162),x97163)),f330(f175(x97161),f330(f330(f157(f934(a102,x97161),x97161),f259(a102,x97161)),x97162))))+~P108(f330(f330(f239(a102),x97163),f330(f168(a102),f330(f330(f157(f934(a102,x97161),a102),f254(a102,x97161)),x97162)))) % 199.45/199.84 [9763]P108(f330(f330(f238(f935(f934(f929(x97631),f929(x97631)),a923)),f161(x97631,x97632)),f330(f330(f257(f929(x97631),f929(x97631)),f164(x97631,x97633)),f330(f16(f935(f929(x97631),a923),f929(x97631)),f164(x97631,x97633)))))+~P108(f330(f330(f238(f935(f934(x97631,x97631),a923)),x97632),f330(f330(f257(x97631,x97631),x97633),f330(f16(f935(x97631,a923),x97631),x97633)))) % 199.45/199.84 [9787]P108(f330(f330(f332(x97871),f330(f254(x97871,f934(a102,a102)),f330(f269(x97871,x97872),x97873))),f330(f175(x97871),f330(f330(f157(f934(a102,x97871),x97871),f259(a102,x97871)),x97872))))+~P108(f330(f330(f239(a102),f2(a102)),f330(f168(a102),f330(f330(f157(f934(a102,x97871),a102),f254(a102,x97871)),x97872)))) % 199.45/199.84 [9802]~P108(f330(f330(f238(f935(f934(x98021,x98021),a923)),x98022),f330(f330(f257(x98021,x98021),x98023),f330(f16(f935(x98021,a923),x98021),x98023))))+P108(f330(f330(f238(f935(f934(x98021,x98021),a923)),f330(f330(f292(x98021,x98021,x98021),x98022),f310(x98021,x98022))),f330(f330(f257(x98021,x98021),x98023),f330(f16(f935(x98021,a923),x98021),x98023)))) % 199.45/199.84 [10102]~P39(x101021,x101022)+~P108(f330(f330(f332(f934(x101021,x101021)),f330(f330(f255(x101021,x101021),f330(x101023,f330(a115,f530(x101022,x101021,x101023)))),f330(x101023,f530(x101022,x101021,x101023)))),x101022)) % 199.45/199.84 [10103]~P39(x101031,x101032)+~P108(f330(f330(f332(f934(x101031,x101031)),f330(f330(f255(x101031,x101031),f330(x101033,f330(a115,f614(x101033,x101032,x101031)))),f330(x101033,f614(x101033,x101032,x101031)))),x101032)) % 199.45/199.84 [10352]P108(f330(f330(f238(f935(f934(f935(x103521,a923),f935(x103521,a923)),a923)),f330(f330(f292(f935(x103521,a923),f935(x103521,a923),f935(x103521,a923)),f323(x103521,x103522)),f330(f330(f113(f935(f934(f935(x103521,a923),f935(x103521,a923)),a923)),f323(x103521,x103523)),f330(f330(f312(f934(f935(x103521,a923),f935(x103521,a923))),f330(f330(f255(f935(x103521,a923),f935(x103521,a923)),f191(f935(x103521,a923))),f191(f935(x103521,a923)))),f191(f935(f934(f935(x103521,a923),f935(x103521,a923)),a923)))))),f323(x103521,x103522)))+~P108(f330(f330(f238(f935(f934(x103521,x103521),a923)),f330(f330(f292(x103521,x103521,x103521),x103522),x103523)),x103522)) % 199.45/199.84 [10353]P108(f330(f330(f238(f935(f934(f935(x103531,a923),f935(x103531,a923)),a923)),f330(f330(f292(f935(x103531,a923),f935(x103531,a923),f935(x103531,a923)),f321(x103531,x103532)),f330(f330(f113(f935(f934(f935(x103531,a923),f935(x103531,a923)),a923)),f321(x103531,x103533)),f330(f330(f312(f934(f935(x103531,a923),f935(x103531,a923))),f330(f330(f255(f935(x103531,a923),f935(x103531,a923)),f191(f935(x103531,a923))),f191(f935(x103531,a923)))),f191(f935(f934(f935(x103531,a923),f935(x103531,a923)),a923)))))),f321(x103531,x103532)))+~P108(f330(f330(f238(f935(f934(x103531,x103531),a923)),f330(f330(f292(x103531,x103531,x103531),x103532),x103533)),x103532)) % 199.45/199.84 [7541]~P108(f330(f330(f238(a928),x75412),x75411))+E(f330(f330(f23(a928),f330(a115,f330(f330(f23(a928),x75411),x75412))),x75413),f330(f330(f23(a928),f330(a115,x75411)),f330(f330(f82(a928),x75412),x75413))) % 199.45/199.84 [7581]~P63(x75811)+E(f330(f330(f82(x75811),f46(x75811,x75812,x75813)),f330(f330(f83(x75811),f330(f330(f37(x75811),x75812),x75813)),x75813)),x75812) % 199.45/199.84 [7774]E(f330(f330(f83(a928),f330(f106(a928),x77741)),f330(f330(f83(a928),f330(f106(a928),x77742)),x77743)),f330(f330(f83(a928),f330(f106(a928),f330(f330(f83(a1),x77741),x77742))),x77743))+P108(f330(f330(f239(a1),x77741),a85)) % 199.45/199.84 [8237]~P108(f330(f330(f238(a928),x82373),x82372))+P108(f330(f330(f238(a928),x82371),f330(f330(f23(a928),f330(f330(f82(a928),x82372),x82371)),x82373))) % 199.45/199.84 [8435]~P108(f330(f330(f238(a928),x84351),x84352))+E(f330(f330(f137(a928),f142(a928,f330(f305(a928,x84351),x84352))),f142(a928,f330(f305(a928,x84352),f330(f330(f82(a928),x84352),x84353)))),f142(a928,f330(f305(a928,x84351),f330(f330(f82(a928),x84352),x84353)))) % 199.45/199.84 [8690]~P108(f330(f62(x86901),x86902))+E(f330(a115,f330(f36(x86901),f330(f330(f23(f935(x86901,a923)),x86902),f330(f330(f312(x86901),x86903),f191(f935(x86901,a923)))))),f330(f36(x86901),f330(f330(f312(x86901),x86903),x86902))) % 199.45/199.84 [8729]~P108(f330(f62(x87291),x87292))+E(f330(f330(f82(a928),f80(a928)),f330(f36(x87291),f330(f330(f23(f935(x87291,a923)),x87292),f330(f330(f312(x87291),x87293),f191(f935(x87291,a923)))))),f330(f36(x87291),f330(f330(f312(x87291),x87293),x87292))) % 199.45/199.84 [8917]E(f330(f330(f23(a928),f330(f36(x89171),x89172)),f330(f36(x89171),f330(f330(f104(f935(x89171,a923)),x89172),x89173))),f330(f36(x89171),f330(f330(f23(f935(x89171,a923)),x89172),x89173)))+~P108(f330(f62(x89171),f330(f330(f104(f935(x89171,a923)),x89172),x89173))) % 199.45/199.84 [9171]~P6(f330(x91712,f377(x91712,x91713,x91711)))+E(f330(f103(a1),f330(f330(f9(x91711,a928),f330(f330(f8(a1,a928,x91711),a107),x91712)),x91713)),f330(f330(f9(x91711,a1),x91712),x91713)) % 199.45/199.84 [9172]~P6(f330(x91722,f481(x91722,x91723,x91721)))+E(f330(f103(a1),f330(f330(f6(x91721,a928),f330(f330(f8(a1,a928,x91721),a107),x91722)),x91723)),f330(f330(f6(x91721,a1),x91722),x91723)) % 199.45/199.84 [9214]~P108(f330(f62(x92141),x92143))+P108(f330(f330(f238(a928),f330(f330(f23(a928),f330(f36(x92141),x92142)),f330(f36(x92141),x92143))),f330(f36(x92141),f330(f330(f23(f935(x92141,a923)),x92142),x92143)))) % 199.45/199.84 [9241]P108(f330(f330(f332(x92411),f377(x92412,x92413,x92411)),x92413))+E(f330(f103(a1),f330(f330(f9(x92411,a928),f330(f330(f8(a1,a928,x92411),a107),x92412)),x92413)),f330(f330(f9(x92411,a1),x92412),x92413)) % 199.45/199.84 [9242]P108(f330(f330(f332(x92421),f481(x92422,x92423,x92421)),x92423))+E(f330(f103(a1),f330(f330(f6(x92421,a928),f330(f330(f8(a1,a928,x92421),a107),x92422)),x92423)),f330(f330(f6(x92421,a1),x92422),x92423)) % 199.45/199.84 [9305]E(f87(x93051,f330(f330(f7(x93051,f935(x93051,a923),a923),f332(x93051)),f330(f330(f23(f935(x93051,a923)),x93052),f330(f330(f312(x93051),x93053),f191(f935(x93051,a923)))))),f250(x93051,x93053,x93052))+P108(f330(f330(f238(f935(x93051,a923)),x93052),f330(f330(f312(x93051),x93053),f191(f935(x93051,a923))))) % 199.45/199.84 [9657]E(f330(f330(f157(f929(x96571),x96571),f330(f330(f7(f929(x96571),a928,x96571),f167(x96571)),x96572)),f330(f139(f929(x96571),f330(f330(f8(a928,a923,f929(x96571)),f330(f239(a928),x96572)),f192(f929(x96571)))),x96573)),f330(f330(f167(f929(x96571)),f182(x96571,x96573)),x96572))+~P108(f330(f330(f239(a928),x96572),f330(f192(f929(f929(x96571))),f182(x96571,x96573)))) % 199.45/199.84 [9736]E(f330(f139(x97361,x97362),x97363),f180(x97361,x97362,x97363))+P108(f330(f330(f332(x97361),f733(x97363,x97362,x97361)),f330(f175(x97361),f330(f330(f141(x97361),f330(f192(f929(x97361)),f180(x97361,x97362,x97363))),x97363)))) % 199.45/199.84 [9875]E(f330(f330(f141(x98751),f330(f192(f929(x98751)),f180(x98751,x98752,x98753))),x98753),f116(x98751))+~P108(f330(x98752,f330(f144(x98751),f330(f330(f141(x98751),f330(f192(f929(x98751)),f180(x98751,x98752,x98753))),x98753)))) % 199.45/199.84 [9967]~P108(f330(f330(f332(f934(x99671,x99671)),x99672),f310(x99671,x99673)))+P108(f330(f330(f332(f934(x99671,x99671)),x99672),f330(f330(f40(a928,f935(f934(x99671,x99671),a923)),f245(f935(a928,a923))),f330(f330(f7(a928,f935(f934(x99671,x99671),a923),f935(f934(x99671,x99671),a923)),f186(f934(x99671,x99671),a923)),x99673)))) % 199.45/199.84 [10028]~P108(f330(f330(f238(f935(x100281,a923)),f330(f330(f40(a928,f935(x100281,a923)),f330(f305(a928,f2(a928)),f513(x100283,x100282,x100281))),x100282)),x100283))+P108(f330(f330(f238(f935(x100281,a923)),f330(f330(f40(a928,f935(x100281,a923)),f245(f935(a928,a923))),x100282)),x100283)) % 199.45/199.84 [10075]~P108(f330(f330(f239(a1),f2(a1)),x100753))+P108(f330(f330(f239(a1),x100751),f330(f330(f82(a1),x100752),f330(f330(f83(a1),f330(f330(f82(a1),f330(f77(a1),f330(f330(f23(a1),x100752),x100751))),f80(a1))),x100753)))) % 199.45/199.84 [10089]~P39(x100891,f330(f330(f113(f935(f934(x100891,x100891),a923)),x100892),x100893))+P39(x100891,f330(f330(f113(f935(f934(x100891,x100891),a923)),f330(f330(f113(f935(f934(x100891,x100891),a923)),f330(f330(f292(x100891,x100891,x100891),x100892),x100892)),f330(f330(f292(x100891,x100891,x100891),x100893),x100892))),x100893)) % 199.45/199.84 [10164]P39(x101641,f330(f330(f113(f935(f934(x101641,x101641),a923)),x101642),x101643))+~P39(x101641,f330(f330(f113(f935(f934(x101641,x101641),a923)),f330(f330(f113(f935(f934(x101641,x101641),a923)),f330(f330(f292(x101641,x101641,x101641),x101642),x101642)),f330(f330(f292(x101641,x101641,x101641),x101643),x101642))),x101643)) % 199.45/199.84 [9739]~P145(x97391)+E(f330(f105(x97391),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x97392),x97393)),f191(f935(f934(a928,a928),a923)))))),f330(f330(f23(x97391),f330(f103(x97391),x97392)),f330(f103(x97391),x97393))) % 199.45/199.84 [9822]P108(f330(x98223,x98222))+E(f330(f265(x98221),f330(f330(f18(x98221,a923,a923),f330(f330(f8(a923,f935(a923,a923),x98221),a328),f330(f330(f7(x98221,x98221,a923),a327),x98222))),x98223)),f191(f935(x98221,a923))) % 199.45/199.84 [9824]~P108(f330(x98243,x98242))+E(f330(f265(x98241),f330(f330(f18(x98241,a923,a923),f330(f330(f8(a923,f935(a923,a923),x98241),a328),f330(f330(f7(x98241,x98241,a923),a327),x98242))),x98243)),f330(f330(f312(x98241),x98242),f191(f935(x98241,a923)))) % 199.45/199.84 [10054]E(x100541,x100542)+P108(f330(f330(f246(x100543,x100543,f330(f330(f8(f935(x100543,a923),f935(x100543,a923),x100543),f330(f8(a923,a923,x100543),a325)),a327)),x100541),x100542)) % 199.45/199.84 [10144]~E(x101441,x101442)+~P108(f330(f330(f246(x101443,x101443,f330(f330(f8(f935(x101443,a923),f935(x101443,a923),x101443),f330(f8(a923,a923,x101443),a325)),a327)),x101441),x101442)) % 199.45/199.84 [10156]~P108(f330(f62(x101561),x101563))+E(f330(f330(f65(x101561,f935(x101561,a923),f330(f330(f8(f935(x101561,a923),f935(f935(x101561,a923),f935(x101561,a923)),x101561),f330(f7(f935(x101561,a923),f935(x101561,a923),f935(x101561,a923)),f23(f935(x101561,a923)))),f330(f330(f7(x101561,f935(x101561,a923),f935(x101561,a923)),f312(x101561)),f191(f935(x101561,a923))))),x101562),x101563),f330(f330(f23(f935(x101561,a923)),x101562),x101563)) % 199.45/199.84 [10187]~P108(f330(f330(f239(a1),f2(a1)),x101873))+P108(f330(f330(f239(a1),f330(f330(f23(a1),x101871),f330(f330(f83(a1),f330(f330(f82(a1),f330(f77(a1),f330(f330(f23(a1),x101871),x101872))),f80(a1))),x101873))),x101872)) % 199.45/199.84 [10438]~P108(f330(f330(f332(x104381),x104383),f319(x104381,x104382)))+P108(f330(f318(x104381,f330(f330(f7(x104381,f935(f934(x104381,x104381),a923),f935(x104381,a923)),f330(f330(f8(f935(x104381,f935(f935(f934(x104381,x104381),a923),a923)),f935(f935(f934(x104381,x104381),a923),f935(x104381,a923)),x104381),f7(x104381,f935(f934(x104381,x104381),a923),a923)),f330(f330(f8(f935(x104381,f934(x104381,x104381)),f935(x104381,f935(f935(f934(x104381,x104381),a923),a923)),x104381),f330(f8(f934(x104381,x104381),f935(f935(f934(x104381,x104381),a923),a923),x104381),f332(f934(x104381,x104381)))),f255(x104381,x104381)))),x104382)),x104383)) % 199.45/199.84 [10452]P108(f330(f330(f332(x104521),x104522),f319(x104521,x104523)))+~P108(f330(f318(x104521,f330(f330(f7(x104521,f935(f934(x104521,x104521),a923),f935(x104521,a923)),f330(f330(f8(f935(x104521,f935(f935(f934(x104521,x104521),a923),a923)),f935(f935(f934(x104521,x104521),a923),f935(x104521,a923)),x104521),f7(x104521,f935(f934(x104521,x104521),a923),a923)),f330(f330(f8(f935(x104521,f934(x104521,x104521)),f935(x104521,f935(f935(f934(x104521,x104521),a923),a923)),x104521),f330(f8(f934(x104521,x104521),f935(f935(f934(x104521,x104521),a923),a923),x104521),f332(f934(x104521,x104521)))),f255(x104521,x104521)))),x104523)),x104522)) % 199.45/199.84 [10026]~P108(f330(f62(x100261),f330(f265(x100261),x100263)))+P108(f330(f62(x100261),f330(f265(x100261),f330(f330(f18(x100261,a923,a923),f330(f330(f8(a923,f935(a923,a923),x100261),a328),x100262)),x100263)))) % 199.45/199.84 [10027]~P108(f330(f62(x100271),f330(f265(x100271),x100272)))+P108(f330(f62(x100271),f330(f265(x100271),f330(f330(f18(x100271,a923,a923),f330(f330(f8(a923,f935(a923,a923),x100271),a328),x100272)),x100273)))) % 199.45/199.84 [10123]P108(f330(f62(x101231),f330(f265(x101231),x101232)))+~P108(f330(f62(x101231),f330(f265(x101231),f330(f330(f18(x101231,a923,a923),f330(f330(f8(a923,f935(a923,a923),x101231),a329),x101233)),x101232)))) % 199.45/199.84 [10124]P108(f330(f62(x101241),f330(f265(x101241),x101242)))+~P108(f330(f62(x101241),f330(f265(x101241),f330(f330(f18(x101241,a923,a923),f330(f330(f8(a923,f935(a923,a923),x101241),a329),x101242)),x101243)))) % 199.45/199.84 [10415]~P108(f330(f62(x104151),x104152))+P108(f330(f62(f929(x104151)),f330(f265(f929(x104151)),f330(f330(f18(f929(x104151),a923,a923),f330(f330(f8(a923,f935(a923,a923),f929(x104151)),a328),f330(f330(f7(f929(x104151),f935(x104151,a923),a923),f330(f330(f8(f935(x104151,a923),f935(f935(x104151,a923),a923),f929(x104151)),f238(f935(x104151,a923))),f175(x104151))),x104152))),f330(f330(f7(f929(x104151),a928,a923),f330(f330(f8(a928,f935(a928,a923),f929(x104151)),a327),f192(f929(x104151)))),x104153))))) % 199.45/199.84 [10416]~P108(f330(f62(x104161),x104162))+P108(f330(f62(f929(x104161)),f330(f265(f929(x104161)),f330(f330(f18(f929(x104161),a923,a923),f330(f330(f8(a923,f935(a923,a923),f929(x104161)),a328),f330(f330(f7(f929(x104161),f935(x104161,a923),a923),f330(f330(f8(f935(x104161,a923),f935(f935(x104161,a923),a923),f929(x104161)),f238(f935(x104161,a923))),f175(x104161))),x104162))),f330(f330(f7(f929(x104161),a928,a923),f330(f330(f8(a928,f935(a928,a923),f929(x104161)),f238(a928)),f192(f929(x104161)))),x104163))))) % 199.45/199.84 [10137]~P114(x101371)+E(f330(f330(f247(x101371),x101372),f330(f330(f83(a928),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x101373)),f330(f330(f83(x101371),f330(f330(f247(x101371),x101372),x101373)),f330(f330(f247(x101371),x101372),x101373))) % 199.45/199.84 [10168]~P81(x101681)+E(f330(f330(f247(x101681),f330(f330(f247(x101681),x101682),x101683)),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f247(x101681),x101682),f330(f330(f83(a928),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x101683))) % 199.45/199.84 [10216]~P145(x102161)+E(f330(f330(f247(x102161),f330(f81(x102161),x102162)),f330(f330(f83(a928),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102163)),f330(f330(f247(x102161),x102162),f330(f330(f83(a928),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102163))) % 199.45/199.84 [10360]~P121(x103601)+P108(f330(f330(f238(x103601),f2(x103601)),f330(f330(f82(x103601),f330(f330(f247(x103601),x103602),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f247(x103601),x103603),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))))) % 199.45/199.84 [10226]~P114(x102261)+E(f330(f330(f247(x102261),x102262),f330(a115,f330(f330(f83(a928),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102263))),f330(f330(f83(x102261),x102262),f330(f330(f83(x102261),f330(f330(f247(x102261),x102262),x102263)),f330(f330(f247(x102261),x102262),x102263)))) % 199.45/199.84 [10276]~P81(x102761)+E(f330(f330(f83(x102761),x102762),f330(f330(f247(x102761),f330(f330(f247(x102761),x102762),x102763)),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f247(x102761),x102762),f330(a115,f330(f330(f83(a928),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102763)))) % 199.45/199.84 [10314]~P121(x103141)+P108(f330(f330(f238(x103141),f2(x103141)),f330(f330(f247(x103141),x103142),f330(f330(f83(a928),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103143)))) % 199.45/199.84 [10391]~P95(x103911)+E(f330(f330(f23(x103911),f330(f330(f82(x103911),f330(f330(f247(x103911),x103912),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f247(x103911),x103913),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))),f330(f330(f83(x103911),f330(f330(f83(x103911),f330(f106(x103911),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103912)),x103913)),f330(f330(f247(x103911),f330(f330(f23(x103911),x103912),x103913)),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 199.45/199.84 [10392]~P95(x103921)+E(f330(f330(f82(x103921),f330(f330(f82(x103921),f330(f330(f247(x103921),x103922),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f247(x103921),x103923),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))),f330(f330(f83(x103921),f330(f330(f83(x103921),f330(f106(x103921),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103922)),x103923)),f330(f330(f247(x103921),f330(f330(f82(x103921),x103922),x103923)),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 199.45/199.84 [4936]E(x49361,x49362)+~E(f30(x49363,x49361),f30(x49364,x49362)) % 199.45/199.84 [4937]E(x49371,x49372)+~E(f30(x49371,x49373),f30(x49372,x49374)) % 199.45/199.84 [4938]E(x49381,x49382)+~E(f31(x49383,x49381),f31(x49384,x49382)) % 199.45/199.84 [4939]E(x49391,x49392)+~E(f31(x49391,x49393),f31(x49392,x49394)) % 199.45/199.84 [4940]E(x49401,x49402)+~E(f26(x49403,x49401),f26(x49404,x49402)) % 199.45/199.84 [4941]E(x49411,x49412)+~E(f26(x49411,x49413),f26(x49412,x49414)) % 199.45/199.84 [8038]P25(x80381,x80382,x80383,x80384)+~E(f453(x80384,x80383,x80382,x80381),f461(x80384,x80383,x80382,x80381)) % 199.45/199.84 [8328]P36(x83281,x83282,x83283,x83284,f116(x83282))+~E(x83284,f116(x83281)) % 199.45/199.84 [8329]P36(x83291,x83292,x83293,f116(x83291),x83294)+~E(x83294,f116(x83292)) % 199.45/199.84 [8865]~P36(x88652,x88653,x88654,x88651,f116(x88653))+E(x88651,f116(x88652)) % 199.45/199.84 [8866]~P36(x88663,x88662,x88664,f116(x88663),x88661)+E(x88661,f116(x88662)) % 199.45/199.84 [5320]~P17(x53203,x53201,x53204)+E(f330(f330(x53201,x53202),x53202),x53202) % 199.45/199.84 [5570]P108(f330(x55702,x55704))+E(f330(f139(x55701,x55702),f172(x55701,x55703,x55704)),f116(x55701)) % 199.45/199.84 [5607]~E(x56074,f191(f935(x56071,a923)))+E(f330(f313(x56071,x56072,x56073),x56074),f191(f935(x56072,a923))) % 199.45/199.84 [5851]~P108(f330(x58512,x58514))+E(f330(f139(x58511,x58512),f172(x58511,x58513,x58514)),f172(x58511,x58513,x58514)) % 199.45/199.84 [5880]~E(f330(f313(x58802,x58803,x58804),x58801),f191(f935(x58803,a923)))+E(x58801,f191(f935(x58802,a923))) % 199.45/199.84 [6067]~P7(x60671,x60673)+E(f274(x60671,x60672,f273(x60671,x60673),x60674),x60674) % 199.45/199.84 [6174]~P110(x61742)+E(f330(f330(f151(x61741,x61742,x61743),x61744),f116(x61741)),f330(f330(f154(x61741),x61744),f116(x61741))) % 199.45/199.84 [6532]~E(x65321,f191(f935(x65322,a923)))+~P108(f330(f63(x65322,x65323,x65321),x65324)) % 199.45/199.84 [6554]~P61(x65541,x65543,x65544,x65542)+P108(f330(f62(x65541),x65542)) % 199.45/199.84 [6556]~P61(x65561,x65563,x65562,x65564)+P108(f330(f62(x65561),x65562)) % 199.45/199.84 [6564]~P61(x65642,x65643,x65644,x65641)+~E(x65641,f191(f935(x65642,a923))) % 199.45/199.84 [6596]~P112(x65961)+E(f330(f330(f104(f935(x65961,a923)),f330(f305(x65961,x65962),x65963)),f306(x65961,x65963,x65964)),f191(f935(x65961,a923))) % 199.45/199.84 [6623]~P108(f330(f330(x66233,x66234),x66232))+P108(f330(f330(f332(x66231),x66232),f298(x66231,x66233,x66234))) % 199.45/199.84 [6624]~P108(f330(f330(x66243,x66244),x66242))+P108(f330(f330(f332(x66241),x66242),f297(x66241,x66243,x66244))) % 199.45/199.84 [6625]~P108(f330(f330(x66253,x66252),x66254))+P108(f330(f330(f332(x66251),x66252),f301(x66251,x66253,x66254))) % 199.45/199.84 [6626]~P108(f330(f330(x66263,x66262),x66264))+P108(f330(f330(f332(x66261),x66262),f299(x66261,x66263,x66264))) % 199.45/199.84 [6690]~P51(x66904,x66901,x66902,x66903)+P108(f330(f330(x66901,x66902),x66903)) % 199.45/199.84 [6770]~P112(x67701)+E(f330(f330(f104(f935(x67701,a923)),f309(x67701,x67702,x67703)),f306(x67701,x67703,x67704)),f191(f935(x67701,a923))) % 199.45/199.84 [6771]~P112(x67711)+E(f330(f330(f104(f935(x67711,a923)),f308(x67711,x67712,x67713)),f309(x67711,x67713,x67714)),f191(f935(x67711,a923))) % 199.45/199.84 [6772]~P112(x67721)+E(f330(f330(f104(f935(x67721,a923)),f308(x67721,x67722,x67723)),f308(x67721,x67723,x67724)),f191(f935(x67721,a923))) % 199.45/199.84 [6773]~P112(x67731)+E(f330(f330(f104(f935(x67731,a923)),f306(x67731,x67732,x67733)),f309(x67731,x67733,x67734)),f191(f935(x67731,a923))) % 199.45/199.84 [6774]~P112(x67741)+E(f330(f330(f104(f935(x67741,a923)),f306(x67741,x67742,x67743)),f308(x67741,x67743,x67744)),f191(f935(x67741,a923))) % 199.45/199.84 [6811]P108(f330(f330(x68111,x68112),f545(x68112,x68111)))+~P108(f330(f252(x68113,x68114,x68111),x68112)) % 199.45/199.84 [6815]~P51(x68151,x68152,x68153,x68154)+~P108(f330(f330(x68152,x68154),x68153)) % 199.45/199.84 [6891]~P110(x68912)+E(f330(f175(x68911),f153(x68911,x68912,x68913,x68914)),f330(f175(x68911),x68914)) % 199.45/199.84 [6941]~P148(x69411)+E(f193(x69411,x69412,f330(a115,x69413),x69414),f193(x69411,x69412,x69413,f330(x69412,x69414))) % 199.45/199.84 [7000]~P108(f330(f330(f332(x70004),x70003),f298(x70004,x70001,x70002)))+P108(f330(f330(x70001,x70002),x70003)) % 199.45/199.84 [7001]~P108(f330(f330(f332(x70014),x70013),f297(x70014,x70011,x70012)))+P108(f330(f330(x70011,x70012),x70013)) % 199.45/199.84 [7002]~P108(f330(f330(f332(x70024),x70022),f301(x70024,x70021,x70023)))+P108(f330(f330(x70021,x70022),x70023)) % 199.45/199.84 [7003]~P108(f330(f330(f332(x70034),x70032),f299(x70034,x70031,x70033)))+P108(f330(f330(x70031,x70032),x70033)) % 199.45/199.84 [7079]E(f330(f36(f936(x70791,x70792)),f316(x70791,x70792,x70793,x70794)),f2(a928))+P108(f330(f62(x70792),x70794)) % 199.45/199.84 [7080]E(f330(f36(f936(x70801,x70802)),f316(x70801,x70802,x70803,x70804)),f2(a928))+P108(f330(f62(x70801),x70803)) % 199.45/199.84 [7282]~P14(x72824,x72821,x72822)+E(f330(f74(x72821,x72821,x72821,f330(x72822,x72823)),f330(x72822,x72823)),f330(x72822,x72823)) % 199.45/199.84 [7526]E(f280(x75261,x75262,x75263,x75264),f330(f255(f935(a102,f935(a923,f932(f930(x75261)))),f934(a102,a102)),f42(x75261)))+~P108(f330(f330(f238(a102),x75263),f2(a102))) % 199.45/199.84 [8160]~E(x81602,x81603)+P108(f330(f330(f332(f934(x81601,x81601)),f330(f330(f255(x81601,x81601),x81602),x81603)),f310(x81601,x81604))) % 199.45/199.84 [8189]~P25(x81891,x81892,x81893,f245(f935(x81891,a923)))+E(f330(f79(x81891,x81892,f245(f935(x81891,a923)),x81893),f330(x81893,x81894)),x81894) % 199.45/199.84 [8190]~P25(x81901,x81902,x81903,f245(f935(x81901,a923)))+E(f330(f94(x81901,x81902,f245(f935(x81901,a923)),x81903),f330(x81903,x81904)),x81904) % 199.45/199.84 [8277]~P108(f330(f330(f332(f929(x82771)),f330(f330(f154(x82771),x82774),x82772)),f164(x82771,x82773)))+P108(f330(f330(f332(f929(x82771)),x82772),f164(x82771,x82773))) % 199.45/199.84 [8278]~P108(f330(f330(f332(f929(x82781)),f330(f330(f137(x82781),x82784),x82782)),f164(x82781,x82783)))+P108(f330(f330(f332(f929(x82781)),x82782),f164(x82781,x82783))) % 199.45/199.84 [8279]~P108(f330(f330(f332(f929(x82791)),f330(f330(f137(x82791),x82792),x82794)),f164(x82791,x82793)))+P108(f330(f330(f332(f929(x82791)),x82792),f164(x82791,x82793))) % 199.45/199.84 [8290]~P110(x82901)+P13(x82901,f330(f330(f157(x82902,x82901),x82903),f153(x82902,x82901,x82903,x82904))) % 199.45/199.84 [8393]P25(x83934,x83933,x83931,x83932)+E(f330(x83931,f453(x83932,x83931,x83933,x83934)),f330(x83931,f461(x83932,x83931,x83933,x83934))) % 199.45/199.84 [8499]~P25(x84992,x84991,x84994,x84993)+P25(x84991,x84992,f79(x84992,x84991,x84993,x84994),f330(f313(x84992,x84991,x84994),x84993)) % 199.45/199.84 [8639]P39(f934(x86392,x86394),f283(x86392,x86394,x86391,x86393))+P108(f330(x86391,f541(x86392,x86393,x86394,x86391))) % 199.45/199.84 [8754]E(x87541,x87542)+~P108(f330(f330(f332(f934(x87543,x87543)),f330(f330(f255(x87543,x87543),x87541),x87542)),f266(x87543,x87544))) % 199.45/199.84 [8817]~P108(f330(f62(f936(x88173,x88171)),f316(x88173,x88171,x88174,x88172)))+P108(f330(f62(x88171),x88172)) % 199.45/199.84 [8818]~P108(f330(f62(f936(x88181,x88183)),f316(x88181,x88183,x88182,x88184)))+P108(f330(f62(x88181),x88182)) % 199.45/199.84 [8827]~P25(x88271,x88272,x88273,x88274)+P26(x88271,x88272,x88273,x88274,f330(f313(x88271,x88272,x88273),x88274)) % 199.45/199.84 [8828]P11(x88281,x88282,x88283,x88284)+~E(f330(x88284,f858(x88282,x88284,x88283,x88281)),f330(x88284,f859(x88282,x88284,x88283,x88281))) % 199.45/199.84 [8918]~P26(x89182,x89183,x89184,x89181,f191(f935(x89183,a923)))+E(x89181,f191(f935(x89182,a923))) % 199.45/199.84 [8919]~P26(x89193,x89192,x89194,f191(f935(x89193,a923)),x89191)+E(x89191,f191(f935(x89192,a923))) % 199.45/199.84 [9011]P39(f934(x90111,x90112),f283(x90111,x90112,x90113,x90114))+~P39(x90112,f330(x90114,f541(x90111,x90114,x90112,x90113))) % 199.45/199.84 [9577]E(f330(f330(f162(x95771,x95772),f679(x95773,x95774,x95772,x95771)),f680(x95773,x95774,x95772,x95771)),x95774)+~P108(f330(f330(f332(f934(f929(x95771),f929(x95771))),f330(f330(f255(f929(x95771),f929(x95771)),x95772),x95774)),f160(x95771,x95773))) % 199.45/199.84 [9582]~P108(f330(f330(f332(f934(f929(x95821),f929(x95821))),f330(f330(f255(f929(x95821),f929(x95821)),x95822),x95823)),f148(x95821,x95824)))+P108(f330(f330(f332(f934(f929(x95821),f929(x95821))),f330(f330(f255(f929(x95821),f929(x95821)),x95822),x95823)),f150(x95821,x95824))) % 199.45/199.84 [9693]P108(f330(f62(x96931),x96932))+~P108(f330(f330(f332(f934(f935(x96931,a923),f935(x96931,a923))),f330(f330(f255(f935(x96931,a923),f935(x96931,a923)),x96933),x96932)),f321(x96931,x96934))) % 199.45/199.84 [9694]P108(f330(f62(x96941),x96942))+~P108(f330(f330(f332(f934(f935(x96941,a923),f935(x96941,a923))),f330(f330(f255(f935(x96941,a923),f935(x96941,a923)),x96942),x96943)),f321(x96941,x96944))) % 199.45/199.84 [9697]~E(x96971,f191(f935(x96972,a923)))+~P108(f330(f330(f332(f934(f935(x96972,a923),f935(x96972,a923))),f330(f330(f255(f935(x96972,a923),f935(x96972,a923)),x96973),x96971)),f321(x96972,x96974))) % 199.45/199.84 [10325]P11(x103251,x103252,x103253,x103254)+~P108(f330(f330(f260(x103251,x103251,a923),f330(f330(f7(x103251,f935(x103251,x103252),f935(x103251,a923)),f330(f330(f8(f935(x103252,a923),f935(f935(x103251,x103252),f935(x103251,a923)),x103251),f8(x103252,a923,x103251)),f330(f330(f8(x103252,f935(x103252,a923),x103251),a327),x103254))),x103254)),f575(x103254,x103253,x103252,x103251))) % 199.45/199.84 [5220]~E(x52202,f116(x52201))+E(f330(f330(f162(x52201,x52202),x52203),x52204),f116(x52201)) % 199.45/199.84 [5221]~E(x52214,f116(x52211))+E(f330(f330(f157(x52211,x52212),x52213),x52214),f116(x52212)) % 199.45/199.84 [5452]E(x54521,f116(x54522))+~E(f330(f330(f157(x54522,x54523),x54524),x54521),f116(x54523)) % 199.45/199.84 [5453]E(x54531,f116(x54532))+~E(f330(f330(f162(x54532,x54531),x54533),x54534),f116(x54532)) % 199.45/199.84 [5490]E(x54901,x54902)+~E(f330(f330(f137(x54903),x54904),x54901),f330(f330(f137(x54903),x54904),x54902)) % 199.45/199.84 [5491]E(x54911,x54912)+~E(f330(f330(f137(x54913),x54911),x54914),f330(f330(f137(x54913),x54912),x54914)) % 199.45/199.84 [5644]P108(f330(x56443,x56442))+E(f173(x56441,x56442,f330(f139(x56441,x56443),x56444)),f330(f139(x56441,x56443),x56444)) % 199.45/199.84 [5646]~P108(f330(x56462,x56463))+P35(x56461,x56462,f330(f330(f154(x56461),x56463),x56464)) % 199.45/199.84 [5655]E(x56551,x56552)+~E(f142(a928,f330(f305(a928,x56551),x56553)),f330(f330(f154(a928),x56552),x56554)) % 199.45/199.84 [5703]~P27(x57032,x57033)+P27(x57031,f330(f330(f75(x57032,x57031),x57033),x57034)) % 199.45/199.84 [5704]~P39(x57042,x57043)+P39(x57041,f330(f330(f291(x57042,x57041),x57043),x57044)) % 199.45/199.84 [5705]~P40(x57052,x57053)+P40(x57051,f330(f330(f291(x57052,x57051),x57053),x57054)) % 199.45/199.84 [5706]~P54(x57062,x57063)+P54(x57061,f330(f330(f291(x57062,x57061),x57063),x57064)) % 199.45/199.84 [5835]~P35(x58351,x58352,x58354)+P35(x58351,x58352,f330(f330(f154(x58351),x58353),x58354)) % 199.45/199.84 [5836]~P35(x58361,x58362,x58364)+P35(x58361,x58362,f330(f330(f137(x58361),x58363),x58364)) % 199.45/199.84 [5837]~P35(x58371,x58372,x58373)+P35(x58371,x58372,f330(f330(f137(x58371),x58373),x58374)) % 199.45/199.84 [5923]~E(x59231,f116(x59232))+~E(f330(f330(f137(x59232),x59233),f330(f330(f154(x59232),x59234),f116(x59232))),x59231) % 199.45/199.84 [5948]~P33(x59483,x59481,f330(f330(f154(x59483),x59482),x59484))+P108(f330(x59481,x59482)) % 199.45/199.84 [5958]E(f117(x59581,x59582),x59583)+~E(f330(f330(f137(x59581),x59583),f330(f330(f154(x59581),x59584),f116(x59581))),x59582) % 199.45/199.84 [5959]E(f147(x59591,x59592),x59593)+~E(f330(f330(f137(x59591),x59594),f330(f330(f154(x59591),x59593),f116(x59591))),x59592) % 199.45/199.84 [6069]~E(f142(a928,f330(f305(a928,x60691),x60692)),f330(f330(f154(a928),x60693),x60694))+P108(f330(f330(f239(a928),x60691),x60692)) % 199.45/199.84 [6078]P33(x60781,x60782,x60783)+~P33(x60781,x60782,f330(f330(f154(x60781),x60784),x60783)) % 199.45/199.84 [6079]P33(x60791,x60792,x60793)+~P33(x60791,x60792,f330(f330(f137(x60791),x60794),x60793)) % 199.45/199.84 [6080]P33(x60801,x60802,x60803)+~P33(x60801,x60802,f330(f330(f137(x60801),x60803),x60804)) % 199.45/199.84 [6278]E(x62781,f330(f330(f137(x62782),f330(f171(x62782),x62783)),f330(f330(f154(x62782),x62784),f116(x62782))))+~E(f330(f171(x62782),x62781),f330(f330(f154(x62782),x62784),x62783)) % 199.45/199.84 [6454]~P112(x64541)+E(f330(f330(f104(f935(x64541,a923)),f330(f305(x64541,x64542),x64543)),f330(f305(x64541,x64543),x64544)),f191(f935(x64541,a923))) % 199.45/199.84 [6465]E(f330(f330(f167(x64651),f172(x64651,x64652,x64653)),x64654),x64653)+~P108(f330(f330(f239(a928),x64654),x64652)) % 199.45/199.84 [6492]~P76(x64921)+E(f330(f168(x64921),f330(f330(f157(a1,x64921),x64922),f181(x64923,x64924))),f330(f330(f6(a1,x64921),x64922),f330(f175(a1),f181(x64923,x64924)))) % 199.45/199.84 [6493]~P76(x64931)+E(f330(f330(f6(a1,x64931),x64932),f330(f175(a1),f181(x64933,x64934))),f330(f168(x64931),f330(f330(f157(a1,x64931),x64932),f181(x64933,x64934)))) % 199.45/199.84 [6636]~E(x66362,f330(f330(f137(x66361),f330(f171(x66361),x66364)),f330(f330(f154(x66361),x66363),f116(x66361))))+E(f330(f171(x66361),x66362),f330(f330(f154(x66361),x66363),x66364)) % 199.45/199.84 [6652]~P19(x66522,x66523,x66524,x66521)+E(f330(x66521,f191(f935(x66522,a923))),f33(x66523)) % 199.45/199.84 [6679]~P112(x66791)+E(f330(f330(f104(f935(x66791,a923)),f309(x66791,x66792,x66793)),f330(f305(x66791,x66793),x66794)),f191(f935(x66791,a923))) % 199.45/199.84 [6892]E(x68921,f191(f935(x68922,a923)))+~E(f316(x68923,x68922,x68924,x68921),f191(f935(f936(x68923,x68922),a923))) % 199.45/199.84 [6893]E(x68931,f191(f935(x68932,a923)))+~E(f316(x68932,x68933,x68931,x68934),f191(f935(f936(x68932,x68933),a923))) % 199.45/199.84 [6961]~P110(x69612)+E(f330(f192(f929(x69611)),f153(x69611,x69612,x69613,x69614)),f330(f192(f929(x69611)),x69614)) % 199.45/199.84 [6972]~P108(f330(f253(x69723,x69724,x69721),x69722))+P108(f330(f330(x69721,f535(x69722,x69721)),x69722)) % 199.45/199.84 [7012]~P108(f330(f62(x70122),x70124))+P108(f330(f62(x70121),f330(f313(x70122,x70121,x70123),x70124))) % 199.45/199.84 [7243]~P25(x72432,x72431,x72433,x72434)+E(f330(f36(x72431),f330(f313(x72432,x72431,x72433),x72434)),f330(f36(x72432),x72434)) % 199.45/199.84 [7261]E(f330(f313(x72611,x72612,x72613),f330(f314(x72611,x72612,x72613),x72614)),x72614)+~E(f330(f313(x72611,x72612,x72613),f245(f935(x72611,a923))),f245(f935(x72612,a923))) % 199.45/199.84 [7675]~P25(x76751,x76752,x76753,f245(f935(x76751,a923)))+E(f330(f314(x76751,x76752,x76753),f330(f313(x76751,x76752,x76753),x76754)),x76754) % 199.45/199.84 [7956]E(x79561,x79562)+~P108(f330(f330(f332(x79563),x79561),f330(f175(x79563),f172(x79563,x79564,x79562)))) % 199.45/199.84 [7965]~E(x79651,f2(a928))+~P108(f330(f330(f332(x79652),x79653),f330(f175(x79652),f172(x79652,x79651,x79654)))) % 199.45/199.84 [7998]P108(f330(x79981,x79982))+~P108(f330(f330(f332(x79983),x79982),f330(f175(x79983),f180(x79983,x79981,x79984)))) % 199.45/199.84 [8106]~P108(f330(f330(f332(f929(x81061)),f330(f330(f154(x81061),x81062),x81064)),f164(x81061,x81063)))+P108(f330(f330(f332(x81061),x81062),x81063)) % 199.45/199.84 [8234]~P108(f330(f330(f332(x82341),x82342),f330(f175(x82341),f179(x82341,x82343,x82344))))+P108(f330(f330(f332(x82341),x82342),f330(f175(x82341),x82343))) % 199.45/199.84 [8235]~P108(f330(f330(f332(x82351),x82352),f330(f175(x82351),f173(x82351,x82354,x82353))))+P108(f330(f330(f332(x82351),x82352),f330(f175(x82351),x82353))) % 199.45/199.84 [8236]~P108(f330(f330(f332(x82361),x82362),f330(f175(x82361),f180(x82361,x82364,x82363))))+P108(f330(f330(f332(x82361),x82362),f330(f175(x82361),x82363))) % 199.45/199.84 [8246]E(f330(f192(f929(x82461)),x82462),x82463)+~P108(f330(f330(f332(f929(x82461)),x82462),f330(f175(f929(x82461)),f56(x82461,x82463,x82464)))) % 199.45/199.84 [8341]P108(f330(x83413,x83412))+E(f330(f139(x83411,f330(f330(f8(a923,a923,x83411),a325),f330(a327,x83412))),f330(f139(x83411,x83413),x83414)),f330(f139(x83411,x83413),x83414)) % 199.45/199.84 [8451]E(f330(f330(f167(x84511),f180(x84511,x84512,x84513)),x84514),f330(f330(f167(x84511),x84513),x84514))+~P108(f330(f330(f239(a928),x84514),f330(f192(f929(x84511)),f180(x84511,x84512,x84513)))) % 199.45/199.84 [8537]~P76(x85371)+E(f330(f330(f6(a928,x85371),f330(f330(f8(a928,x85371,a928),x85372),a115)),f330(f305(a928,x85373),x85374)),f330(f330(f6(a928,x85371),x85372),f330(f305(a928,f330(a115,x85373)),f330(a115,x85374)))) % 199.45/199.84 [8547]~P76(x85471)+E(f330(f330(f6(a928,x85471),f330(f330(f8(a928,x85471,a928),x85472),a115)),f306(a928,x85473,x85474)),f330(f330(f6(a928,x85471),x85472),f306(a928,f330(a115,x85473),f330(a115,x85474)))) % 199.45/199.84 [8675]~P25(x86751,x86753,x86754,f245(f935(x86751,a923)))+P25(x86751,f935(x86752,x86753),f330(f330(f8(x86753,f935(x86752,x86753),x86751),f16(x86753,x86752)),x86754),f245(f935(x86751,a923))) % 199.45/199.84 [8759]~P25(x87592,x87591,x87594,x87593)+E(f330(f313(x87591,x87592,f79(x87592,x87591,x87593,x87594)),f330(f313(x87592,x87591,x87594),x87593)),x87593) % 199.45/199.84 [8819]~P108(f330(f330(f332(f934(x88191,x88191)),f330(f330(f255(x88191,x88191),x88192),x88194)),f266(x88191,x88193)))+P108(f330(f330(f332(x88191),x88192),x88193)) % 199.45/199.84 [8942]~P25(x89422,x89421,x89423,f245(f935(x89422,a923)))+E(f330(f313(x89421,x89422,f94(x89422,x89421,f245(f935(x89422,a923)),x89423)),f330(f313(x89422,x89421,x89423),x89424)),x89424) % 199.45/199.84 [9017]~P26(x90171,x90172,x90173,x90174,f245(f935(x90172,a923)))+E(f330(f313(x90171,x90172,x90173),f245(f935(x90171,a923))),f245(f935(x90172,a923))) % 199.45/199.84 [9050]~E(f330(f330(f6(x90501,a928),x90504),x90503),f330(a115,x90502))+P108(f330(f330(f332(x90501),f594(x90502,x90503,x90504,x90501)),x90503)) % 199.45/199.84 [9071]~E(f330(f330(f6(x90714,a928),x90711),x90713),f330(a115,x90712))+P108(f330(f330(f239(a928),f2(a928)),f330(x90711,f594(x90712,x90713,x90711,x90714)))) % 199.45/199.84 [9082]~P108(f330(f62(x90822),x90824))+P108(f330(f330(f238(a928),f330(f36(x90821),f330(f313(x90822,x90821,x90823),x90824))),f330(f36(x90822),x90824))) % 199.45/199.84 [9083]E(f330(f330(f255(x90831,x90832),f652(x90833,x90834,x90832,x90831)),f653(x90833,x90834,x90832,x90831)),x90834)+~P108(f330(f330(f332(f934(x90831,x90832)),x90834),f330(f289(x90832,x90831),x90833))) % 199.45/199.84 [9091]P25(x90911,x90912,x90913,x90914)+P108(f330(f330(f332(x90911),f453(x90914,x90913,x90912,x90911)),x90914)) % 199.45/199.84 [9092]P25(x90921,x90922,x90923,x90924)+P108(f330(f330(f332(x90921),f461(x90924,x90923,x90922,x90921)),x90924)) % 199.45/199.84 [9161]P11(x91611,x91612,x91613,x91614)+P108(f330(f330(f332(f934(x91611,x91611)),f575(x91614,x91613,x91612,x91611)),x91613)) % 199.45/199.84 [9219]P108(f330(x92191,x92192))+~P108(f330(x92191,f330(f330(f255(x92193,x92194),f368(x92194,x92193,x92191)),f369(x92194,x92193,x92191)))) % 199.45/199.84 [9236]E(f330(f192(f929(x92361)),x92362),f330(f192(f929(x92361)),x92363))+~P108(f330(f330(f332(f934(f929(x92361),f929(x92361))),f330(f330(f255(f929(x92361),f929(x92361)),x92362),x92363)),f148(x92361,x92364))) % 199.45/199.84 [9237]E(f330(f192(f929(x92371)),x92372),f330(f192(f929(x92371)),x92373))+~P108(f330(f330(f332(f934(f929(x92371),f929(x92371))),f330(f330(f255(f929(x92371),f929(x92371)),x92372),x92373)),f160(x92371,x92374))) % 199.45/199.84 [9240]E(f330(f192(f929(x92401)),x92402),f330(f192(f929(x92401)),x92403))+~P108(f330(f330(f332(f934(f929(x92401),f929(x92401))),f330(f330(f255(f929(x92401),f929(x92401)),x92402),x92403)),f161(x92401,x92404))) % 199.45/199.84 [9309]P108(f330(f330(f238(a928),f158(x93091,x93092,x93093)),f158(x93091,x93094,x93093)))+P108(f330(f330(f332(x93091),f678(x93094,x93092,x93093,x93091)),f330(f175(x93091),x93093))) % 199.45/199.84 [9312]E(f330(f192(f929(x93121)),x93122),f330(f192(f929(x93121)),x93123))+~P108(f330(f330(f332(f934(f929(x93121),f929(x93121))),f330(f330(f255(f929(x93121),f929(x93121)),x93122),x93123)),f310(f929(x93121),f160(x93121,x93124)))) % 199.45/199.84 [9548]~P25(x95481,x95482,x95483,x95484)+~P108(f330(f330(f239(a928),f330(f36(x95482),f330(f313(x95481,x95482,x95483),x95484))),f330(f36(x95481),x95484))) % 199.45/199.84 [9595]~P108(f330(f330(f332(f934(f929(x95951),f929(x95951))),f330(f330(f255(f929(x95951),f929(x95951)),x95952),x95953)),f160(x95951,x95954)))+P108(f330(f330(f332(f934(f929(x95951),f929(x95951))),f330(f330(f255(f929(x95951),f929(x95951)),x95952),x95953)),f161(x95951,f310(x95951,x95954)))) % 199.45/199.84 [9599]~P108(f330(f330(f332(f934(f929(x95991),f929(x95991))),f330(f330(f255(f929(x95991),f929(x95991)),x95992),x95993)),f161(x95991,x95994)))+P108(f330(f330(f332(f934(f929(x95991),f929(x95991))),f330(f330(f255(f929(x95991),f929(x95991)),x95992),x95993)),f310(f929(x95991),f160(x95991,x95994)))) % 199.45/199.84 [9615]P108(f330(f330(f332(f934(x96151,x96151)),f330(f330(f255(x96151,x96151),x96152),x96153)),f310(x96151,x96154)))+~P108(f330(f330(f332(f934(x96151,x96151)),f330(f330(f255(x96151,x96151),x96152),x96153)),f330(f330(f292(x96151,x96151,x96151),x96154),f310(x96151,x96154)))) % 199.45/199.84 [9803]E(f330(f330(f137(x98031),f694(x98032,x98033,x98034,x98031)),f330(f330(f154(x98031),f695(x98032,x98033,x98034,x98031)),f697(x98032,x98033,x98034,x98031))),x98034)+~P108(f330(f330(f332(f934(f929(x98031),f929(x98031))),f330(f330(f255(f929(x98031),f929(x98031)),x98034),x98033)),f160(x98031,x98032))) % 199.45/199.84 [9804]E(f330(f330(f137(x98041),f694(x98042,x98043,x98044,x98041)),f330(f330(f154(x98041),f696(x98042,x98043,x98044,x98041)),f697(x98042,x98043,x98044,x98041))),x98043)+~P108(f330(f330(f332(f934(f929(x98041),f929(x98041))),f330(f330(f255(f929(x98041),f929(x98041)),x98044),x98043)),f160(x98041,x98042))) % 199.45/199.84 [9882]P108(f330(f330(f332(f934(x98821,x98821)),f330(f330(f255(x98821,x98821),x98822),f639(x98823,x98824,x98822,x98821))),f310(x98821,x98823)))+~P108(f330(f330(f332(f934(x98821,x98821)),f330(f330(f255(x98821,x98821),x98822),x98824)),f330(f330(f292(x98821,x98821,x98821),x98823),f310(x98821,x98823)))) % 199.45/199.84 [9950]P108(f330(f330(f238(a928),f158(x99501,x99502,x99503)),f158(x99501,x99504,x99503)))+~P108(f330(f330(f239(a928),f330(x99502,f678(x99504,x99502,x99503,x99501))),f330(x99504,f678(x99504,x99502,x99503,x99501)))) % 199.45/199.84 [10022]P108(f330(f330(f332(f934(x100221,x100221)),f330(f330(f255(x100221,x100221),f638(x100222,x100223,x100224,x100221)),x100223)),f310(x100221,x100222)))+~P108(f330(f330(f332(f934(x100221,x100221)),f330(f330(f255(x100221,x100221),x100224),x100223)),f330(f330(f292(x100221,x100221,x100221),x100222),f310(x100221,x100222)))) % 199.45/199.84 [5472]~E(x54722,x54723)+E(f173(x54721,x54722,f330(f330(f154(x54721),x54723),x54724)),x54724) % 199.45/199.84 [5600]P108(f330(x56002,x56003))+E(f180(x56001,x56002,f330(f330(f154(x56001),x56003),x56004)),f116(x56001)) % 199.45/199.84 [5667]~P90(x56672)+E(f330(f330(f81(f935(x56671,x56672)),x56673),x56674),f330(f81(x56672),f330(x56673,x56674))) % 199.45/199.84 [5680]~E(x56802,f2(a928))+E(f330(f330(f141(x56801),x56802),f330(f330(f154(x56801),x56803),x56804)),f330(f330(f154(x56801),x56803),x56804)) % 199.45/199.84 [5681]P108(f330(x56812,x56813))+E(f330(f139(x56811,x56812),f330(f330(f154(x56811),x56813),x56814)),f330(f139(x56811,x56812),x56814)) % 199.45/199.84 [5818]~E(x58182,x58184)+P108(f330(f330(f330(f312(x58181),x58182),x58183),x58184)) % 199.45/199.84 [5826]E(x58261,f116(x58262))+E(f147(x58263,f330(f330(f157(x58262,x58263),x58264),x58261)),f330(x58264,f147(x58262,x58261))) % 199.45/199.84 [5840]~E(x58401,f64(x58402,x58404))+E(f330(x58401,f330(f330(f312(x58402),x58403),f191(f935(x58402,a923)))),x58403) % 199.45/199.84 [5875]E(x58751,f116(x58752))+E(f330(f144(x58753),f330(f330(f157(x58752,x58753),x58754),x58751)),f330(x58754,f330(f144(x58752),x58751))) % 199.45/199.84 [5978]~P108(f330(x59783,x59784))+P108(f330(f330(f330(f312(x59781),x59782),x59783),x59784)) % 199.45/199.84 [6097]~P18(x60972,x60974,x60971)+E(f330(x60971,f330(f330(f312(x60972),x60973),f191(f935(x60972,a923)))),x60973) % 199.45/199.84 [6123]~E(x61232,x61233)+P108(f330(f330(f332(x61231),x61232),f330(f330(f312(x61231),x61233),x61234))) % 199.45/199.84 [6128]~P114(x61281)+E(f330(f330(f83(x61281),x61282),f330(f330(f83(x61281),x61283),x61284)),f330(f330(f83(x61281),x61283),f330(f330(f83(x61281),x61282),x61284))) % 199.45/199.84 [6129]~P114(x61291)+E(f330(f330(f82(x61291),x61292),f330(f330(f82(x61291),x61293),x61294)),f330(f330(f82(x61291),x61293),f330(f330(f82(x61291),x61292),x61294))) % 199.45/199.84 [6131]~P110(x61311)+E(f330(f330(f236(x61311),x61312),f330(f330(f236(x61311),x61313),x61314)),f330(f330(f236(x61311),x61313),f330(f330(f236(x61311),x61312),x61314))) % 199.45/199.84 [6133]~P110(x61331)+E(f330(f330(f237(x61331),x61332),f330(f330(f237(x61331),x61333),x61334)),f330(f330(f237(x61331),x61333),f330(f330(f237(x61331),x61332),x61334))) % 199.45/199.84 [6134]~P99(x61341)+E(f330(f330(f104(x61341),x61342),f330(f330(f104(x61341),x61343),x61344)),f330(f330(f104(x61341),x61343),f330(f330(f104(x61341),x61342),x61344))) % 199.45/199.84 [6136]~P104(x61361)+E(f330(f330(f104(x61361),x61362),f330(f330(f104(x61361),x61363),x61364)),f330(f330(f104(x61361),x61363),f330(f330(f104(x61361),x61362),x61364))) % 199.45/199.84 [6137]~P99(x61371)+E(f330(f330(f113(x61371),x61372),f330(f330(f113(x61371),x61373),x61374)),f330(f330(f113(x61371),x61373),f330(f330(f113(x61371),x61372),x61374))) % 199.45/199.84 [6139]~P105(x61391)+E(f330(f330(f113(x61391),x61392),f330(f330(f113(x61391),x61393),x61394)),f330(f330(f113(x61391),x61393),f330(f330(f113(x61391),x61392),x61394))) % 199.45/199.84 [6146]E(x61461,x61462)+E(f173(x61463,x61461,f330(f330(f154(x61463),x61462),x61464)),f330(f330(f154(x61463),x61462),f173(x61463,x61461,x61464))) % 199.45/199.84 [6161]~P108(f330(x61612,x61613))+E(f330(f139(x61611,x61612),f330(f330(f154(x61611),x61613),x61614)),f330(f330(f154(x61611),x61613),f330(f139(x61611,x61612),x61614))) % 199.45/199.84 [6298]~P108(f330(x62982,x62983))+E(f180(x62981,x62982,f330(f330(f154(x62981),x62983),x62984)),f330(f330(f154(x62981),x62983),f180(x62981,x62982,x62984))) % 199.45/199.84 [6348]P24(x63481,x63482,x63483)+~P24(x63481,x63482,f330(f330(f312(f927(x63481)),x63484),x63483)) % 199.45/199.84 [6364]E(x63641,f191(f935(x63642,a923)))+E(f330(f330(f40(x63642,f935(x63643,a923)),x63641),f330(f16(f935(x63643,a923),x63642),x63644)),x63644) % 199.45/199.84 [6365]E(x63651,f191(f935(x63652,a923)))+E(f330(f330(f41(x63652,f935(x63653,a923)),x63651),f330(f16(f935(x63653,a923),x63652),x63654)),x63654) % 199.45/199.84 [6374]~E(x63744,f191(f935(x63742,a923)))+E(f330(f330(f257(x63741,x63742),x63743),f330(f16(f935(x63742,a923),x63741),x63744)),f191(f935(f934(x63741,x63742),a923))) % 199.45/199.84 [6375]~E(x63753,f191(f935(x63751,a923)))+E(f330(f330(f257(x63751,x63752),x63753),f330(f16(f935(x63752,a923),x63751),x63754)),f191(f935(f934(x63751,x63752),a923))) % 199.45/199.84 [6426]E(x64261,f2(a928))+E(f330(f330(f141(x64262),x64261),f330(f330(f154(x64262),x64263),x64264)),f330(f330(f141(x64262),f330(f330(f23(a928),x64261),f80(a928))),x64264)) % 199.45/199.84 [6447]E(x64471,f191(f935(x64472,a923)))+E(f330(f313(x64472,x64473,f330(f16(x64473,x64472),x64474)),x64471),f330(f330(f312(x64473),x64474),f191(f935(x64473,a923)))) % 199.45/199.84 [6450]E(f330(f314(x64501,x64502,f330(f16(x64502,x64501),x64503)),x64504),f191(f935(x64501,a923)))+P108(f330(f330(f332(x64502),x64503),x64504)) % 199.45/199.84 [6516]~E(x65163,f191(f935(x65161,a923)))+E(f330(f330(f40(x65161,f935(x65162,a923)),x65163),f330(f16(f935(x65162,a923),x65161),x65164)),f191(f935(x65162,a923))) % 199.45/199.84 [6517]~E(x65173,f191(f935(x65171,a923)))+E(f330(f330(f41(x65171,f935(x65172,a923)),x65173),f330(f16(f935(x65172,a923),x65171),x65174)),f245(f935(x65172,a923))) % 199.45/199.84 [6519]~P63(x65191)+E(f46(x65191,f330(f330(f83(x65191),x65192),x65193),f330(f330(f83(x65191),x65192),x65194)),f330(f330(f83(x65191),x65192),f46(x65191,x65193,x65194))) % 199.45/199.84 [6689]E(f330(f314(x66891,x66892,f330(f16(x66892,x66891),x66893)),x66894),f245(f935(x66891,a923)))+~P108(f330(f330(f332(x66892),x66893),x66894)) % 199.45/199.84 [6714]~P108(f330(f330(f332(x67141),x67142),x67144))+P108(f330(f330(f332(x67141),x67142),f330(f330(f312(x67141),x67143),x67144))) % 199.45/199.84 [6719]P108(f330(x67191,x67192))+~P108(f330(f163(x67193,x67191),f330(f330(f154(x67193),x67192),x67194))) % 199.45/199.84 [6728]~E(x67283,f330(f330(f23(a928),f330(f192(f929(x67281)),x67282)),f80(a928)))+E(f117(x67281,f330(f330(f162(x67281,x67282),x67283),x67284)),f117(x67281,x67282)) % 199.45/199.84 [6748]~P110(x67481)+E(f330(f330(f104(f935(x67481,a923)),f330(f304(x67481),x67482)),f306(x67481,x67483,x67484)),f306(x67481,x67483,f330(f330(f236(x67481),x67482),x67484))) % 199.45/199.84 [6749]~P110(x67491)+E(f330(f330(f104(f935(x67491,a923)),f330(f286(x67491),x67492)),f306(x67491,x67493,x67494)),f306(x67491,f330(f330(f237(x67491),x67492),x67493),x67494)) % 199.45/199.84 [6765]E(f330(f330(f104(f935(x67651,a923)),x67652),f330(f330(f312(x67651),x67653),x67654)),f330(f330(f104(f935(x67651,a923)),x67652),x67654))+P108(f330(f330(f332(x67651),x67653),x67652)) % 199.45/199.84 [6777]E(f173(x67771,x67772,f330(f330(f137(x67771),x67773),x67774)),f330(f330(f137(x67771),x67773),f173(x67771,x67772,x67774)))+P108(f330(f330(f332(x67771),x67772),f330(f175(x67771),x67773))) % 199.45/199.84 [6782]~P81(x67821)+E(f330(f330(f83(x67821),f330(f330(f247(x67821),x67822),x67823)),f330(f330(f247(x67821),x67822),x67824)),f330(f330(f247(x67821),x67822),f330(f330(f82(a928),x67823),x67824))) % 199.45/199.84 [6783]~P114(x67831)+E(f330(f330(f83(x67831),f330(f330(f247(x67831),x67832),x67833)),f330(f330(f247(x67831),x67832),x67834)),f330(f330(f247(x67831),x67832),f330(f330(f82(a928),x67833),x67834))) % 199.45/199.84 [6820]~P114(x68201)+E(f330(f330(f82(x68201),f330(f330(f83(x68201),x68202),x68203)),f330(f330(f83(x68201),x68202),x68204)),f330(f330(f83(x68201),x68202),f330(f330(f82(x68201),x68203),x68204))) % 199.45/199.84 [6821]~P110(x68211)+E(f330(f330(f237(x68211),f330(f330(f236(x68211),x68212),x68213)),f330(f330(f236(x68211),x68212),x68214)),f330(f330(f236(x68211),x68212),f330(f330(f237(x68211),x68213),x68214))) % 199.45/199.84 [6822]~P110(x68221)+E(f330(f330(f236(x68221),f330(f330(f237(x68221),x68222),x68223)),f330(f330(f237(x68221),x68222),x68224)),f330(f330(f237(x68221),x68222),f330(f330(f236(x68221),x68223),x68224))) % 199.45/199.84 [6823]~P102(x68231)+E(f330(f330(f113(x68231),f330(f330(f104(x68231),x68232),x68233)),f330(f330(f104(x68231),x68232),x68234)),f330(f330(f104(x68231),x68232),f330(f330(f113(x68231),x68233),x68234))) % 199.45/199.84 [6824]~P102(x68241)+E(f330(f330(f104(x68241),f330(f330(f113(x68241),x68242),x68243)),f330(f330(f113(x68241),x68242),x68244)),f330(f330(f113(x68241),x68242),f330(f330(f104(x68241),x68243),x68244))) % 199.45/199.84 [6855]~P63(x68551)+E(f46(x68551,f330(f330(f83(x68551),x68552),x68553),f330(f330(f83(x68551),x68554),x68553)),f330(f330(f83(x68551),f46(x68551,x68552,x68554)),x68553)) % 199.45/199.84 [6858]~E(f330(f192(f929(x68581)),x68583),f330(f192(f929(x68582)),x68584))+E(f330(f330(f157(f934(x68581,x68582),x68582),f259(x68581,x68582)),f330(f330(f184(x68581,x68582),x68583),x68584)),x68584) % 199.45/199.84 [6859]~E(f330(f192(f929(x68591)),x68593),f330(f192(f929(x68592)),x68594))+E(f330(f330(f157(f934(x68591,x68592),x68591),f254(x68591,x68592)),f330(f330(f184(x68591,x68592),x68593),x68594)),x68593) % 199.45/199.84 [6864]P108(f330(f163(x68641,x68642),x68643))+~P108(f330(f163(x68641,x68642),f330(f330(f154(x68641),x68644),x68643))) % 199.45/199.84 [6865]P108(f330(f163(x68651,x68652),x68653))+~P108(f330(f163(x68651,x68652),f330(f330(f137(x68651),x68654),x68653))) % 199.45/199.84 [6866]P108(f330(f163(x68661,x68662),x68663))+~P108(f330(f163(x68661,x68662),f330(f330(f137(x68661),x68663),x68664))) % 199.45/199.84 [6871]~P64(x68711)+E(f46(x68711,f330(f330(f23(x68711),x68712),f46(x68711,x68713,x68714)),x68714),f46(x68711,f330(f330(f23(x68711),x68712),x68713),x68714)) % 199.45/199.84 [6872]~P63(x68721)+E(f46(x68721,f330(f330(f83(x68721),x68722),f46(x68721,x68723,x68724)),x68724),f46(x68721,f330(f330(f83(x68721),x68722),x68723),x68724)) % 199.45/199.84 [6874]~P63(x68741)+E(f46(x68741,f330(f330(f82(x68741),x68742),f46(x68741,x68743,x68744)),x68744),f46(x68741,f330(f330(f82(x68741),x68742),x68743),x68744)) % 199.45/199.84 [6954]~P110(x69541)+E(f330(f330(f104(f935(x69541,a923)),f306(x69541,x69542,x69543)),f330(f304(x69541),x69544)),f306(x69541,x69542,f330(f330(f236(x69541),x69543),x69544))) % 199.45/199.84 [6955]~P110(x69551)+E(f330(f330(f104(f935(x69551,a923)),f306(x69551,x69552,x69553)),f330(f286(x69551),x69554)),f306(x69551,f330(f330(f237(x69551),x69552),x69554),x69553)) % 199.45/199.84 [6958]~E(f330(f192(f929(x69581)),x69583),f330(f192(f929(x69582)),x69584))+E(f330(f330(f184(x69581,x69582),f330(f171(x69581),x69583)),f330(f171(x69582),x69584)),f330(f171(f934(x69581,x69582)),f330(f330(f184(x69581,x69582),x69583),x69584))) % 199.45/199.84 [6969]E(x69691,f330(f330(f23(a928),f330(f192(f929(x69692)),x69693)),f80(a928)))+E(f117(x69692,f330(f330(f162(x69692,x69693),x69691),x69694)),f330(f330(f162(x69692,f117(x69692,x69693)),x69691),x69694)) % 199.45/199.84 [6983]~P108(f330(f140(x69832),x69834))+P108(f330(f140(f934(x69831,x69832)),f330(f330(f184(x69831,x69832),x69833),x69834))) % 199.45/199.84 [6984]~P108(f330(f140(x69841),x69843))+P108(f330(f140(f934(x69841,x69842)),f330(f330(f184(x69841,x69842),x69843),x69844))) % 199.45/199.84 [7246]E(f330(f330(f37(a928),x72461),x72462),x72463)+~P108(f330(f49(x72461,x72462),f330(f330(f255(a928,a928),x72463),x72464))) % 199.45/199.84 [7269]E(f46(a928,x72691,x72692),x72693)+~P108(f330(f49(x72691,x72692),f330(f330(f255(a928,a928),x72694),x72693))) % 199.45/199.84 [7272]P108(f330(f140(x72721),x72722))+~P108(f330(f140(x72723),f330(f330(f157(x72721,x72723),x72724),x72722))) % 199.45/199.84 [7280]~P24(x72801,x72802,f330(f330(f312(f927(x72801)),x72803),x72804))+P24(x72801,x72802,f330(f330(f312(f927(x72801)),x72803),f191(f935(f927(x72801),a923)))) % 199.45/199.84 [7357]E(f173(x73571,x73572,f330(f330(f137(x73571),x73573),x73574)),f330(f330(f137(x73571),f173(x73571,x73572,x73573)),x73574))+~P108(f330(f330(f332(x73571),x73572),f330(f175(x73571),x73573))) % 199.45/199.84 [7450]~P64(x74501)+E(f46(x74501,f330(f330(f23(x74501),f46(x74501,x74502,x74503)),x74504),x74503),f46(x74501,f330(f330(f23(x74501),x74502),x74504),x74503)) % 199.45/199.84 [7453]~P63(x74531)+E(f46(x74531,f330(f330(f83(x74531),f46(x74531,x74532,x74533)),x74534),x74533),f46(x74531,f330(f330(f83(x74531),x74532),x74534),x74533)) % 199.45/199.84 [7454]~P63(x74541)+E(f46(x74541,f330(f330(f82(x74541),f46(x74541,x74542,x74543)),x74544),x74543),f46(x74541,f330(f330(f82(x74541),x74542),x74544),x74543)) % 199.45/199.84 [7646]~E(x76461,f330(f330(f154(x76462),x76463),x76464))+~P108(f330(f330(f238(a928),f330(f192(f929(x76462)),x76461)),f330(f192(f929(x76462)),x76464))) % 199.45/199.84 [7848]P25(x78481,x78482,x78483,f330(f175(x78481),x78484))+~P108(f330(f140(x78482),f330(f330(f157(x78481,x78482),x78483),x78484))) % 199.45/199.84 [7923]~P108(f330(f330(f238(f935(x79231,a923)),x79232),x79234))+P108(f330(f330(f238(f935(x79231,a923)),x79232),f330(f330(f312(x79231),x79233),x79234))) % 199.45/199.84 [7957]~P64(x79571)+E(f46(x79571,f330(f330(f23(x79571),f46(x79571,x79572,x79573)),f46(x79571,x79574,x79573)),x79573),f46(x79571,f330(f330(f23(x79571),x79572),x79574),x79573)) % 199.45/199.84 [7958]~P63(x79581)+E(f46(x79581,f330(f330(f83(x79581),f46(x79581,x79582,x79583)),f46(x79581,x79584,x79583)),x79583),f46(x79581,f330(f330(f83(x79581),x79582),x79584),x79583)) % 199.45/199.84 [7959]~P63(x79591)+E(f46(x79591,f330(f330(f82(x79591),f46(x79591,x79592,x79593)),f46(x79591,x79594,x79593)),x79593),f46(x79591,f330(f330(f82(x79591),x79592),x79594),x79593)) % 199.45/199.84 [8061]~E(f330(x80614,f896(x80614,x80613,x80611,x80612)),f191(f935(x80612,a923)))+E(f330(f330(f40(x80611,f935(x80612,a923)),x80613),x80614),f191(f935(x80612,a923))) % 199.45/199.84 [8062]~E(f330(x80624,f492(x80624,x80623,x80621,x80622)),f245(f935(x80622,a923)))+E(f330(f330(f41(x80621,f935(x80622,a923)),x80623),x80624),f245(f935(x80622,a923))) % 199.45/199.84 [8063]~E(f330(x80634,f907(x80634,x80633,x80632,x80631)),f191(f935(x80632,a923)))+E(f330(f330(f40(x80631,f935(x80632,a923)),x80633),x80634),f191(f935(x80632,a923))) % 199.45/199.84 [8064]~E(f330(x80644,f493(x80644,x80643,x80642,x80641)),f245(f935(x80642,a923)))+E(f330(f330(f41(x80641,f935(x80642,a923)),x80643),x80644),f245(f935(x80642,a923))) % 199.45/199.84 [8452]P108(f330(x84521,x84522))+~P108(f330(f330(f332(x84523),x84522),f330(f330(f104(f935(x84523,a923)),x84524),f330(f265(x84523),x84521)))) % 199.45/199.84 [8489]~P108(f330(f330(f238(f935(x84891,a923)),x84893),x84894))+P108(f330(f330(f238(f935(x84891,a923)),f330(f330(f312(x84891),x84892),x84893)),f330(f330(f312(x84891),x84892),x84894))) % 199.45/199.84 [8668]P108(f330(x86682,x86683))+E(f330(f330(f141(x86681),f330(f192(f929(x86681)),f180(x86681,x86682,f330(f330(f154(x86681),x86683),x86684)))),f330(f330(f154(x86681),x86683),x86684)),f330(f330(f154(x86681),x86683),x86684)) % 199.45/199.84 [8773]~P108(f330(f330(f239(a928),f330(x87734,x87732)),f330(x87734,x87733)))+P108(f330(f330(f332(f934(x87731,x87731)),f330(f330(f255(x87731,x87731),x87732),x87733)),f330(f330(f291(a928,x87731),a243),x87734))) % 199.45/199.84 [8869]~P108(f330(x88692,f751(x88694,x88692,x88693,x88691)))+E(f180(x88691,x88692,f330(f330(f137(x88691),x88693),x88694)),f330(f330(f137(x88691),x88693),f180(x88691,x88692,x88694))) % 199.45/199.84 [8946]P25(f929(x89461),f929(x89462),f330(f157(x89461,x89462),x89463),x89464)+~P25(x89461,x89462,x89463,f38(f935(x89461,a923),f330(f313(f929(x89461),f935(x89461,a923),f175(x89461)),x89464))) % 199.45/199.84 [9021]~P108(f330(x90212,x90213))+E(f330(f330(f141(x90211),f330(f192(f929(x90211)),f180(x90211,x90212,f330(f330(f154(x90211),x90213),x90214)))),f330(f330(f154(x90211),x90213),x90214)),f330(f330(f141(x90211),f330(f192(f929(x90211)),f180(x90211,x90212,x90214))),x90214)) % 199.45/199.84 [9062]~E(x90622,x90623)+E(f330(f139(x90621,f330(f330(f8(a923,a923,x90621),a325),f330(a327,x90622))),f330(f330(f154(x90621),x90623),x90624)),f330(f139(x90621,f330(f330(f8(a923,a923,x90621),a325),f330(a327,x90622))),x90624)) % 199.45/199.84 [9072]E(f330(f330(f40(x90721,f935(x90722,a923)),x90723),x90724),f191(f935(x90722,a923)))+P108(f330(f330(f332(x90721),f896(x90724,x90723,x90721,x90722)),x90723)) % 199.45/199.84 [9073]E(f330(f330(f41(x90731,f935(x90732,a923)),x90733),x90734),f245(f935(x90732,a923)))+P108(f330(f330(f332(x90731),f492(x90734,x90733,x90731,x90732)),x90733)) % 199.45/199.84 [9074]E(f330(f330(f40(x90741,f935(x90742,a923)),x90743),x90744),f191(f935(x90742,a923)))+P108(f330(f330(f332(x90741),f907(x90744,x90743,x90742,x90741)),x90743)) % 199.45/199.84 [9075]E(f330(f330(f41(x90751,f935(x90752,a923)),x90753),x90754),f245(f935(x90752,a923)))+P108(f330(f330(f332(x90751),f493(x90754,x90753,x90752,x90751)),x90753)) % 199.45/199.84 [9113]P108(f330(f330(f239(a928),f330(x91131,x91132)),f330(x91131,x91133)))+~P108(f330(f330(f332(f934(x91134,x91134)),f330(f330(f255(x91134,x91134),x91132),x91133)),f330(f330(f291(a928,x91134),a243),x91131))) % 199.45/199.84 [9139]E(f180(x91391,x91392,f330(f330(f137(x91391),x91393),x91394)),f330(f330(f137(x91391),x91393),f180(x91391,x91392,x91394)))+P108(f330(f330(f332(x91391),f751(x91394,x91392,x91393,x91391)),f330(f175(x91391),x91393))) % 199.45/199.84 [9195]~P26(x91951,x91952,x91953,f245(f935(x91951,a923)),f245(f935(x91952,a923)))+E(f330(f313(x91951,x91952,x91953),f330(f81(f935(x91951,a923)),x91954)),f330(f81(f935(x91952,a923)),f330(f313(x91951,x91952,x91953),x91954))) % 199.45/199.84 [9298]P108(f330(f330(f332(x92981),f897(x92982,x92983,x92984,x92981)),x92983))+~P108(f330(f330(f332(f935(x92981,a923)),x92984),f330(f330(f61(x92981),x92983),x92982))) % 199.45/199.84 [9301]E(x93011,x93012)+~P108(f330(f330(f332(f934(x93013,x93013)),f330(f330(f255(x93013,x93013),x93011),x93012)),f330(f330(f186(f934(x93013,x93013),a923),f2(a928)),x93014))) % 199.45/199.84 [9383]E(f330(f288(x93831,x93831,x93832),f330(f330(f312(x93831),f897(x93832,x93833,x93834,x93831)),f191(f935(x93831,a923)))),x93834)+~P108(f330(f330(f332(f935(x93831,a923)),x93834),f330(f330(f61(x93831),x93833),x93832))) % 199.45/199.84 [9388]~P108(f330(f330(f332(f934(x93881,x93881)),f330(f330(f255(x93881,x93881),x93883),x93882)),f310(x93881,x93884)))+P108(f330(f330(f332(f934(x93881,x93881)),f330(f330(f255(x93881,x93881),x93882),x93883)),f310(x93881,f330(f289(x93881,x93881),x93884)))) % 199.45/199.84 [9401]~P63(x94011)+E(f330(f330(f82(x94011),f330(f330(f82(x94011),f330(f330(f83(x94011),x94012),f330(f330(f37(x94011),x94013),x94012))),f46(x94011,x94013,x94012))),x94014),f330(f330(f82(x94011),x94013),x94014)) % 199.45/199.84 [9412]~P108(f330(f330(f332(x94121),x94123),x94124))+P108(f330(f330(f332(f935(x94121,a923)),f330(f288(x94121,x94121,x94122),f330(f330(f312(x94121),x94123),f191(f935(x94121,a923))))),f330(f330(f61(x94121),x94124),x94122))) % 199.45/199.84 [9424]P108(f330(f330(f332(f934(x94241,x94241)),f330(f330(f255(x94241,x94241),x94242),x94243)),f310(x94241,x94244)))+~P108(f330(f330(f332(f934(x94241,x94241)),f330(f330(f255(x94241,x94241),x94243),x94242)),f310(x94241,f330(f289(x94241,x94241),x94244)))) % 199.45/199.84 [9509]E(f330(f330(f162(x95091,f330(f171(x95091),x95092)),f330(f330(f23(a928),f330(f330(f23(a928),f330(f192(f929(x95091)),x95092)),x95093)),f80(a928))),x95094),f330(f171(x95091),f330(f330(f162(x95091,x95092),x95093),x95094)))+~P108(f330(f330(f239(a928),x95093),f330(f192(f929(x95091)),x95092))) % 199.45/199.84 [9512]~P108(f330(x95122,f746(x95124,x95122,x95123,x95121)))+E(f330(f330(f141(x95121),f330(f192(f929(x95121)),f180(x95121,x95122,f330(f330(f137(x95121),x95123),x95124)))),f330(f330(f137(x95121),x95123),x95124)),f330(f330(f141(x95121),f330(f192(f929(x95121)),f180(x95121,x95122,x95124))),x95124)) % 199.45/199.84 [9556]~P25(x95562,x95561,x95563,f245(f935(x95562,a923)))+P108(f330(f330(f238(f935(x95561,a923)),f330(f313(x95562,x95561,x95563),f330(f81(f935(x95562,a923)),x95564))),f330(f81(f935(x95561,a923)),f330(f313(x95562,x95561,x95563),x95564)))) % 199.45/199.84 [9568]~P5(x95681)+E(f330(f145(x95681,x95682,f330(f7(x95682,x95681,x95681),f330(f330(f8(x95681,f935(x95681,x95681),x95682),f113(x95681)),x95683)),f191(x95681)),x95684),f330(f330(f40(x95682,x95681),f330(f175(x95682),x95684)),x95683)) % 199.45/199.84 [9569]~P5(x95691)+E(f330(f145(x95691,x95692,f330(f7(x95692,x95691,x95691),f330(f330(f8(x95691,f935(x95691,x95691),x95692),f104(x95691)),x95693)),f245(x95691)),x95694),f330(f330(f41(x95692,x95691),f330(f175(x95692),x95694)),x95693)) % 199.45/199.84 [9579]E(f330(f330(f141(x95791),f330(f192(f929(x95791)),f180(x95791,x95792,f330(f330(f137(x95791),x95793),x95794)))),f330(f330(f137(x95791),x95793),x95794)),f330(f330(f141(x95791),f330(f192(f929(x95791)),f180(x95791,x95792,x95794))),x95794))+P108(f330(f330(f332(x95791),f746(x95794,x95792,x95793,x95791)),f330(f175(x95791),x95793))) % 199.45/199.84 [9649]~P108(f330(f330(f332(f934(f929(x96494),f929(x96494))),f330(f330(f255(f929(x96494),f929(x96494)),x96493),x96492)),f160(x96494,x96491)))+P108(f330(f330(f239(a928),f679(x96491,x96492,x96493,x96494)),f330(f192(f929(x96494)),x96493))) % 199.45/199.84 [9650]~P63(x96501)+E(f330(f330(f82(x96501),f330(f330(f82(x96501),f330(f330(f83(x96501),f330(f330(f37(x96501),x96502),x96503)),x96503)),f46(x96501,x96502,x96503))),x96504),f330(f330(f82(x96501),x96502),x96504)) % 199.45/199.84 [9679]~P108(f330(f330(f332(f934(f929(x96791),f929(x96791))),f330(f330(f255(f929(x96791),f929(x96791)),x96792),x96793)),f330(f289(f929(x96791),f929(x96791)),f160(x96791,x96794))))+P108(f330(f330(f332(f934(f929(x96791),f929(x96791))),f330(f330(f255(f929(x96791),f929(x96791)),x96792),x96793)),f160(x96791,f330(f289(x96791,x96791),x96794)))) % 199.45/199.84 [9680]P108(f330(f330(f332(f934(f929(x96801),f929(x96801))),f330(f330(f255(f929(x96801),f929(x96801)),x96802),x96803)),f330(f289(f929(x96801),f929(x96801)),f160(x96801,x96804))))+~P108(f330(f330(f332(f934(f929(x96801),f929(x96801))),f330(f330(f255(f929(x96801),f929(x96801)),x96802),x96803)),f160(x96801,f330(f289(x96801,x96801),x96804)))) % 199.45/199.84 [9719]~P108(f330(f330(f332(x97191),x97193),f330(f267(x97191,x97192),x97194)))+P108(f330(f330(f332(f934(x97191,x97192)),f330(f330(f255(x97191,x97192),x97193),f546(x97194,x97192,x97193,x97191))),x97194)) % 199.45/199.84 [9720]~P108(f330(f330(f332(x97201),x97203),f330(f267(x97201,x97202),x97204)))+P108(f330(f330(f332(f934(x97201,x97202)),f330(f330(f255(x97201,x97202),x97203),f547(x97204,x97202,x97203,x97201))),x97204)) % 199.45/199.84 [9877]~P108(f330(f330(f332(f934(x98771,x98771)),f330(f330(f255(x98771,x98771),x98772),x98774)),f330(f330(f292(x98771,x98771,x98771),x98773),f310(x98771,x98773))))+P108(f330(f330(f332(f934(x98771,x98771)),f330(f330(f255(x98771,x98771),x98772),f638(x98773,x98774,x98772,x98771))),x98773)) % 199.45/199.84 [10036]P11(x100361,x100362,x100363,x100364)+P108(f330(f330(f332(f934(x100361,x100361)),f330(f330(f255(x100361,x100361),f859(x100362,x100364,x100363,x100361)),f858(x100362,x100364,x100363,x100361))),x100363)) % 199.45/199.84 [10043]~P108(f330(f330(f332(f934(x100432,x100431)),x100434),f330(f289(x100431,x100432),x100433)))+P108(f330(f330(f332(f934(x100431,x100432)),f330(f330(f255(x100431,x100432),f653(x100433,x100434,x100431,x100432)),f652(x100433,x100434,x100431,x100432))),x100433)) % 199.45/199.84 [10067]~P108(f330(f330(f332(f934(f929(x100671),f929(x100671))),f330(f330(f255(f929(x100671),f929(x100671)),x100674),x100673)),f160(x100671,x100672)))+P108(f330(f330(f332(f934(x100671,x100671)),f330(f330(f255(x100671,x100671),f695(x100672,x100673,x100674,x100671)),f696(x100672,x100673,x100674,x100671))),x100672)) % 199.45/199.84 [10158]~P108(f330(f330(f332(f934(f929(x101581),f929(x101581))),f330(f330(f255(f929(x101581),f929(x101581)),x101582),x101584)),f160(x101581,x101583)))+P108(f330(f330(f332(f934(x101581,x101581)),f330(f330(f255(x101581,x101581),f330(f330(f167(x101581),x101582),f679(x101583,x101584,x101582,x101581))),f680(x101583,x101584,x101582,x101581))),x101583)) % 199.45/199.84 [10179]~P108(f330(f62(x101792),x101794))+E(f330(f330(f330(f66(f935(x101791,a923),x101792,f113(f935(x101791,a923))),f330(f330(f7(x101792,f935(x101791,a923),f935(x101791,a923)),f330(f330(f8(x101791,f935(f935(x101791,a923),f935(x101791,a923)),x101792),f312(x101791)),x101793)),f191(f935(x101791,a923)))),f191(f935(x101791,a923))),x101794),f330(f313(x101792,x101791,x101793),x101794)) % 199.45/199.84 [10278]~P25(x102781,x102782,x102783,f245(f935(x102781,a923)))+P108(f330(f330(f238(f935(x102781,a923)),f330(f314(x102781,x102782,x102783),f330(f330(f312(x102782),x102784),f191(f935(x102782,a923))))),f330(f330(f312(x102781),f87(x102781,f330(f330(f7(x102781,x102782,a923),f330(f330(f8(x102782,f935(x102782,a923),x102781),a327),x102783)),x102784))),f191(f935(x102781,a923))))) % 199.45/199.84 [5886]~E(f330(f330(f137(x58861),x58862),x58864),x58863)+E(f330(f330(f178(x58861),f330(f192(f929(x58861)),x58862)),x58863),x58862) % 199.45/199.84 [5887]~E(f330(f330(f137(x58872),x58873),x58871),x58874)+E(x58871,f330(f330(f141(x58872),f330(f192(f929(x58872)),x58873)),x58874)) % 199.45/199.84 [5898]~E(x58984,f2(a928))+E(f330(f330(f167(x58981),f330(f330(f154(x58981),x58982),x58983)),x58984),x58982) % 199.45/199.84 [6439]~P114(x64391)+E(f330(f330(f247(x64391),f330(f330(f247(x64391),x64392),x64393)),x64394),f330(f330(f247(x64391),x64392),f330(f330(f83(a928),x64393),x64394))) % 199.45/199.84 [6440]~P81(x64401)+E(f330(f330(f247(x64401),f330(f330(f247(x64401),x64402),x64403)),x64404),f330(f330(f247(x64401),x64402),f330(f330(f83(a928),x64403),x64404))) % 199.45/199.84 [6448]E(x64481,f2(a928))+E(f330(f330(f167(x64482),f330(f330(f154(x64482),x64483),x64484)),x64481),f330(f330(f167(x64482),x64484),f330(f330(f23(a928),x64481),f80(a928)))) % 199.45/199.84 [6475]~P125(x64751)+E(f330(f330(f294(x64751),f330(f330(f83(x64751),x64752),x64753)),x64754),f330(f330(f83(x64751),x64752),f330(f330(f294(x64751),x64753),x64754))) % 199.45/199.84 [6477]~P70(x64771)+E(f330(f330(f83(x64771),f330(f330(f83(x64771),x64772),x64773)),x64774),f330(f330(f83(x64771),x64772),f330(f330(f83(x64771),x64773),x64774))) % 199.45/199.84 [6478]~P114(x64781)+E(f330(f330(f83(x64781),f330(f330(f83(x64781),x64782),x64783)),x64784),f330(f330(f83(x64781),x64782),f330(f330(f83(x64781),x64783),x64784))) % 199.45/199.84 [6480]~P114(x64801)+E(f330(f330(f82(x64801),f330(f330(f82(x64801),x64802),x64803)),x64804),f330(f330(f82(x64801),x64802),f330(f330(f82(x64801),x64803),x64804))) % 199.45/199.84 [6481]~P71(x64811)+E(f330(f330(f82(x64811),f330(f330(f82(x64811),x64812),x64813)),x64814),f330(f330(f82(x64811),x64812),f330(f330(f82(x64811),x64813),x64814))) % 199.45/199.84 [6483]~P110(x64831)+E(f330(f330(f236(x64831),f330(f330(f236(x64831),x64832),x64833)),x64834),f330(f330(f236(x64831),x64832),f330(f330(f236(x64831),x64833),x64834))) % 199.45/199.84 [6485]~P110(x64851)+E(f330(f330(f237(x64851),f330(f330(f237(x64851),x64852),x64853)),x64854),f330(f330(f237(x64851),x64852),f330(f330(f237(x64851),x64853),x64854))) % 199.45/199.84 [6486]~P99(x64861)+E(f330(f330(f104(x64861),f330(f330(f104(x64861),x64862),x64863)),x64864),f330(f330(f104(x64861),x64862),f330(f330(f104(x64861),x64863),x64864))) % 199.45/199.84 [6488]~P104(x64881)+E(f330(f330(f104(x64881),f330(f330(f104(x64881),x64882),x64883)),x64884),f330(f330(f104(x64881),x64882),f330(f330(f104(x64881),x64883),x64884))) % 199.45/199.84 [6489]~P99(x64891)+E(f330(f330(f113(x64891),f330(f330(f113(x64891),x64892),x64893)),x64894),f330(f330(f113(x64891),x64892),f330(f330(f113(x64891),x64893),x64894))) % 199.45/199.84 [6491]~P105(x64911)+E(f330(f330(f113(x64911),f330(f330(f113(x64911),x64912),x64913)),x64914),f330(f330(f113(x64911),x64912),f330(f330(f113(x64911),x64913),x64914))) % 199.45/199.84 [6500]~P63(x65001)+E(f46(x65001,f330(f330(f82(x65001),x65002),f330(f330(f83(x65001),x65003),x65004)),x65004),f46(x65001,x65002,x65004)) % 199.45/199.84 [6501]~P63(x65011)+E(f46(x65011,f330(f330(f82(x65011),x65012),f330(f330(f83(x65011),x65013),x65014)),x65013),f46(x65011,x65012,x65013)) % 199.45/199.84 [6637]E(f330(f330(f167(x66371),f330(f330(f178(x66371),x66372),x66373)),x66374),f330(f330(f167(x66371),x66373),x66374))+~P108(f330(f330(f239(a928),x66374),x66372)) % 199.45/199.84 [6816]~E(x68162,x68164)+P108(f330(f330(f175(x68161),f330(f330(f154(x68161),x68162),x68163)),x68164)) % 199.45/199.84 [6818]~P114(x68181)+E(f330(f330(f83(x68181),f330(f330(f83(x68181),x68182),x68183)),x68184),f330(f330(f83(x68181),f330(f330(f83(x68181),x68182),x68184)),x68183)) % 199.45/199.84 [6819]~P114(x68191)+E(f330(f330(f82(x68191),f330(f330(f82(x68191),x68192),x68193)),x68194),f330(f330(f82(x68191),f330(f330(f82(x68191),x68192),x68194)),x68193)) % 199.45/199.84 [6877]~P148(x68772)+E(f330(f330(f6(x68771,x68772),f330(f16(x68772,x68771),x68773)),x68774),f330(f330(f83(x68772),f330(f103(x68772),f330(f36(x68771),x68774))),x68773)) % 199.45/199.84 [7045]E(f330(f330(f104(f935(x70451,a923)),f330(f330(f312(x70451),x70452),x70453)),x70454),f330(f330(f104(f935(x70451,a923)),x70453),x70454))+P108(f330(f330(f332(x70451),x70452),x70454)) % 199.45/199.84 [7114]~P80(x71141)+E(f330(f330(f236(x71141),f330(f330(f23(x71141),x71142),x71143)),f330(f330(f23(x71141),x71144),x71143)),f330(f330(f23(x71141),f330(f330(f236(x71141),x71142),x71144)),x71143)) % 199.45/199.84 [7115]~P80(x71151)+E(f330(f330(f237(x71151),f330(f330(f23(x71151),x71152),x71153)),f330(f330(f23(x71151),x71154),x71153)),f330(f330(f23(x71151),f330(f330(f237(x71151),x71152),x71154)),x71153)) % 199.45/199.84 [7117]~P115(x71171)+E(f330(f330(f82(x71171),f330(f330(f83(x71171),x71172),x71173)),f330(f330(f83(x71171),x71174),x71173)),f330(f330(f83(x71171),f330(f330(f82(x71171),x71172),x71174)),x71173)) % 199.45/199.84 [7118]~P84(x71181)+E(f330(f330(f236(x71181),f330(f330(f82(x71181),x71182),x71183)),f330(f330(f82(x71181),x71184),x71183)),f330(f330(f82(x71181),f330(f330(f236(x71181),x71182),x71184)),x71183)) % 199.45/199.84 [7119]~P84(x71191)+E(f330(f330(f237(x71191),f330(f330(f82(x71191),x71192),x71193)),f330(f330(f82(x71191),x71194),x71193)),f330(f330(f82(x71191),f330(f330(f237(x71191),x71192),x71194)),x71193)) % 199.45/199.84 [7120]~P72(x71201)+E(f330(f330(f83(x71201),f330(f330(f247(x71201),x71202),x71203)),f330(f330(f247(x71201),x71204),x71203)),f330(f330(f247(x71201),f330(f330(f83(x71201),x71202),x71204)),x71203)) % 199.45/199.84 [7121]~P114(x71211)+E(f330(f330(f83(x71211),f330(f330(f247(x71211),x71212),x71213)),f330(f330(f247(x71211),x71214),x71213)),f330(f330(f247(x71211),f330(f330(f83(x71211),x71212),x71214)),x71213)) % 199.45/199.84 [7122]~P66(x71221)+E(f330(f330(f294(x71221),f330(f330(f247(x71221),x71222),x71223)),f330(f330(f247(x71221),x71224),x71223)),f330(f330(f247(x71221),f330(f330(f294(x71221),x71222),x71224)),x71223)) % 199.45/199.84 [7123]~P110(x71231)+E(f330(f330(f237(x71231),f330(f330(f236(x71231),x71232),x71233)),f330(f330(f236(x71231),x71234),x71233)),f330(f330(f236(x71231),f330(f330(f237(x71231),x71232),x71234)),x71233)) % 199.45/199.84 [7124]~P125(x71241)+E(f330(f330(f23(x71241),f330(f330(f294(x71241),x71242),x71243)),f330(f330(f294(x71241),x71244),x71243)),f330(f330(f294(x71241),f330(f330(f23(x71241),x71242),x71244)),x71243)) % 199.45/199.84 [7125]~P125(x71251)+E(f330(f330(f82(x71251),f330(f330(f294(x71251),x71252),x71253)),f330(f330(f294(x71251),x71254),x71253)),f330(f330(f294(x71251),f330(f330(f82(x71251),x71252),x71254)),x71253)) % 199.45/199.84 [7126]~P110(x71261)+E(f330(f330(f236(x71261),f330(f330(f237(x71261),x71262),x71263)),f330(f330(f237(x71261),x71264),x71263)),f330(f330(f237(x71261),f330(f330(f236(x71261),x71262),x71264)),x71263)) % 199.45/199.84 [7127]~P102(x71271)+E(f330(f330(f113(x71271),f330(f330(f104(x71271),x71272),x71273)),f330(f330(f104(x71271),x71274),x71273)),f330(f330(f104(x71271),f330(f330(f113(x71271),x71272),x71274)),x71273)) % 199.45/199.84 [7128]~P102(x71281)+E(f330(f330(f104(x71281),f330(f330(f113(x71281),x71282),x71283)),f330(f330(f113(x71281),x71284),x71283)),f330(f330(f113(x71281),f330(f330(f104(x71281),x71282),x71284)),x71283)) % 199.45/199.84 [7129]~P114(x71291)+E(f330(f330(f82(x71291),f330(f330(f83(x71291),x71292),x71293)),f330(f330(f83(x71291),x71294),x71293)),f330(f330(f83(x71291),f330(f330(f82(x71291),x71292),x71294)),x71293)) % 199.45/199.84 [7161]E(f330(f330(f162(x71611,x71612),x71613),x71614),x71612)+~P108(f330(f330(f238(a928),f330(f192(f929(x71611)),x71612)),x71613)) % 199.45/199.84 [7188]~P108(f330(x71883,x71884))+P108(f330(f330(f330(f113(f935(x71881,a923)),x71882),x71883),x71884)) % 199.45/199.84 [7190]~P108(f330(x71902,x71904))+P108(f330(f330(f330(f113(f935(x71901,a923)),x71902),x71903),x71904)) % 199.45/199.84 [7208]E(f330(f330(f167(x72081),f330(f330(f137(x72081),x72082),x72083)),x72084),f330(f330(f167(x72081),x72082),x72084))+~P108(f330(f330(f239(a928),x72084),f330(f192(f929(x72081)),x72082))) % 199.45/199.84 [7219]E(f330(f330(f23(f935(x72191,a923)),f330(f330(f312(x72191),x72192),x72193)),x72194),f330(f330(f23(f935(x72191,a923)),x72193),x72194))+~P108(f330(f330(f332(x72191),x72192),x72194)) % 199.45/199.84 [7259]~E(f142(a928,f330(f305(a928,x72591),x72592)),f330(f330(f154(a928),x72594),x72593))+E(f142(a928,f330(f305(a928,f330(f330(f82(a928),x72591),f80(a928))),x72592)),x72593) % 199.45/199.84 [7281]~P108(f330(f330(f175(x72811),x72813),x72814))+P108(f330(f330(f175(x72811),f330(f330(f154(x72811),x72812),x72813)),x72814)) % 199.45/199.84 [7332]E(x73321,f2(a928))+E(f330(f330(f154(x73322),x73323),f330(f330(f178(x73322),f330(f330(f23(a928),x73321),f80(a928))),x73324)),f330(f330(f178(x73322),x73321),f330(f330(f154(x73322),x73323),x73324))) % 199.45/199.84 [7434]E(f330(f330(f167(x74341),x74342),f330(f330(f23(a928),x74343),f330(f192(f929(x74341)),x74344))),f330(f330(f167(x74341),f330(f330(f137(x74341),x74344),x74342)),x74343))+P108(f330(f330(f239(a928),x74343),f330(f192(f929(x74341)),x74344))) % 199.45/199.84 [7464]E(f330(f330(f104(f935(x74641,a923)),x74642),f330(f330(f312(x74641),x74643),x74644)),f330(f330(f312(x74641),x74643),f330(f330(f104(f935(x74641,a923)),x74642),x74644)))+~P108(f330(f330(f332(x74641),x74643),x74642)) % 199.45/199.84 [7502]E(f330(f330(f167(x75021),f330(f330(f162(x75021,x75022),x75023),x75024)),x75023),x75024)+~P108(f330(f330(f239(a928),x75023),f330(f192(f929(x75021)),x75022))) % 199.45/199.84 [7524]E(x75241,f191(f935(x75242,a923)))+E(f330(f313(f934(x75243,x75242),x75243,f254(x75243,x75242)),f330(f330(f257(x75243,x75242),x75244),f330(f16(f935(x75242,a923),x75243),x75241))),x75244) % 199.45/199.84 [7525]E(x75251,f191(f935(x75252,a923)))+E(f330(f313(f934(x75252,x75253),x75253,f259(x75252,x75253)),f330(f330(f257(x75252,x75253),x75251),f330(f16(f935(x75253,a923),x75252),x75254))),x75254) % 199.45/199.84 [7597]E(f330(f330(f23(f935(x75971,a923)),f330(f330(f312(x75971),x75972),x75973)),x75974),f330(f330(f312(x75971),x75972),f330(f330(f23(f935(x75971,a923)),x75973),x75974)))+P108(f330(f330(f332(x75971),x75972),x75974)) % 199.45/199.84 [7632]~E(x76324,f191(f935(x76322,a923)))+E(f330(f313(f934(x76321,x76322),x76321,f254(x76321,x76322)),f330(f330(f257(x76321,x76322),x76323),f330(f16(f935(x76322,a923),x76321),x76324))),f191(f935(x76321,a923))) % 199.45/199.84 [7633]~E(x76333,f191(f935(x76331,a923)))+E(f330(f313(f934(x76331,x76332),x76332,f259(x76331,x76332)),f330(f330(f257(x76331,x76332),x76333),f330(f16(f935(x76332,a923),x76331),x76334))),f191(f935(x76332,a923))) % 199.45/199.84 [7684]~P108(f330(f330(f332(x76841),x76842),x76844))+P108(f330(f330(f332(x76841),x76842),f330(f330(f113(f935(x76841,a923)),x76843),x76844))) % 199.45/199.84 [7687]~P108(f330(f330(f332(x76871),x76872),x76873))+P108(f330(f330(f332(x76871),x76872),f330(f330(f113(f935(x76871,a923)),x76873),x76874))) % 199.45/199.84 [7705]E(f330(f330(f104(f935(x77051,a923)),f330(f330(f312(x77051),x77052),x77053)),x77054),f330(f330(f312(x77051),x77052),f330(f330(f104(f935(x77051,a923)),x77053),x77054)))+~P108(f330(f330(f332(x77051),x77052),x77054)) % 199.45/199.84 [7979]P108(f330(x79791,x79792))+~P108(f330(f330(f330(f104(f935(x79793,a923)),x79794),x79791),x79792)) % 199.45/199.84 [7980]P108(f330(x79801,x79802))+~P108(f330(f330(f330(f104(f935(x79803,a923)),x79801),x79804),x79802)) % 199.45/199.84 [7981]E(f330(f330(f6(x79811,a928),x79812),f330(f330(f23(f935(x79811,a923)),x79813),f330(f330(f312(x79811),x79814),f191(f935(x79811,a923))))),f330(f330(f6(x79811,a928),x79812),x79813))+P108(f330(f330(f332(x79811),x79814),x79813)) % 199.45/199.84 [7986]~P76(x79861)+E(f330(f168(x79861),f330(f330(f157(a928,x79861),x79862),f142(a928,f330(f305(a928,x79863),x79864)))),f330(f330(f6(a928,x79861),x79862),f330(f175(a928),f142(a928,f330(f305(a928,x79863),x79864))))) % 199.45/199.84 [7987]~P76(x79871)+E(f330(f330(f6(a928,x79871),x79872),f330(f175(a928),f142(a928,f330(f305(a928,x79873),x79874)))),f330(f168(x79871),f330(f330(f157(a928,x79871),x79872),f142(a928,f330(f305(a928,x79873),x79874))))) % 199.45/199.84 [8099]~E(x80993,x80994)+P108(f330(f63(x80991,x80992,f330(f330(f312(x80991),x80993),f191(f935(x80991,a923)))),x80994)) % 199.45/199.84 [8196]P108(f330(f330(f332(x81961),x81962),f330(f175(x81961),x81963)))+~P108(f330(f330(f332(x81961),x81962),f330(f175(x81961),f330(f330(f178(x81961),x81964),x81963)))) % 199.45/199.84 [8197]P108(f330(f330(f332(x81971),x81972),f330(f175(x81971),x81973)))+~P108(f330(f330(f332(x81971),x81972),f330(f175(x81971),f330(f330(f141(x81971),x81974),x81973)))) % 199.45/199.84 [8267]P108(f330(f330(f332(x82671),x82672),x82673))+~P108(f330(f330(f332(x82671),x82672),f330(f330(f23(f935(x82671,a923)),x82673),x82674))) % 199.45/199.84 [8269]P108(f330(f330(f332(x82691),x82692),x82693))+~P108(f330(f330(f332(x82691),x82692),f330(f330(f104(f935(x82691,a923)),x82694),x82693))) % 199.45/199.84 [8272]P108(f330(f330(f332(x82721),x82722),x82723))+~P108(f330(f330(f332(x82721),x82722),f330(f330(f104(f935(x82721,a923)),x82723),x82724))) % 199.45/199.84 [8287]E(f330(f330(f137(x82871),f330(f330(f178(x82871),x82872),x82873)),f330(f330(f154(x82871),x82874),f330(f330(f141(x82871),f330(a115,x82872)),x82873))),f330(f330(f162(x82871,x82873),x82872),x82874))+~P108(f330(f330(f239(a928),x82872),f330(f192(f929(x82871)),x82873))) % 199.45/199.84 [8310]P108(f330(f330(f332(x83101),x83102),x83103))+~P108(f330(f330(f238(f935(x83101,a923)),f330(f330(f312(x83101),x83102),x83104)),x83103)) % 199.45/199.84 [8346]~P108(f330(f330(f332(x83461),x83462),x83463))+~P108(f330(f330(f332(x83461),x83462),f330(f330(f23(f935(x83461,a923)),x83464),x83463))) % 199.45/199.84 [8380]~P108(f330(f330(f239(a928),x83804),f330(f192(f929(x83801)),x83803)))+P108(f330(f330(f332(x83801),x83802),f330(f175(x83801),f330(f330(f162(x83801,x83803),x83804),x83802)))) % 199.45/199.84 [8431]E(f330(f330(f167(x84311),f330(f330(f141(x84311),x84312),x84313)),x84314),f330(f330(f167(x84311),x84313),f330(f330(f82(a928),x84312),x84314)))+~P108(f330(f330(f238(a928),f330(f330(f82(a928),x84312),x84314)),f330(f192(f929(x84311)),x84313))) % 199.45/199.84 [8440]~P148(x84402)+E(f330(f330(f6(x84401,x84402),f330(f330(f8(a928,x84402,x84401),f103(x84402)),x84403)),x84404),f330(f103(x84402),f330(f330(f6(x84401,a928),x84403),x84404))) % 199.45/199.84 [8441]~P145(x84412)+E(f330(f330(f6(x84411,x84412),f330(f330(f8(a1,x84412,x84411),f105(x84412)),x84413)),x84414),f330(f105(x84412),f330(f330(f6(x84411,a1),x84413),x84414))) % 199.45/199.84 [8491]~P69(x84912)+E(f330(f330(f9(x84911,x84912),f330(f330(f8(x84912,x84912,x84911),f77(x84912)),x84913)),x84914),f330(f77(x84912),f330(f330(f9(x84911,x84912),x84913),x84914))) % 199.45/199.84 [8492]~P3(x84922)+E(f330(f330(f6(x84921,x84922),f330(f330(f8(x84922,x84922,x84921),f81(x84922)),x84923)),x84924),f330(f81(x84922),f330(f330(f6(x84921,x84922),x84923),x84924))) % 199.45/199.84 [8494]E(f330(f330(f6(x84941,a928),x84942),f330(f330(f23(f935(x84941,a923)),x84943),f330(f330(f312(x84941),x84944),f191(f935(x84941,a923))))),f330(f330(f23(a928),f330(f330(f6(x84941,a928),x84942),x84943)),f330(x84942,x84944)))+~P108(f330(f330(f332(x84941),x84944),x84943)) % 199.45/199.84 [8513]P108(f330(f330(f238(f935(x85131,a923)),x85132),x85133))+~P108(f330(f330(f238(f935(x85131,a923)),f330(f330(f312(x85131),x85134),x85132)),x85133)) % 199.45/199.84 [8637]~E(f330(f313(x86372,x86373,x86371),f245(f935(x86372,a923))),f245(f935(x86373,a923)))+E(f330(x86371,f330(f94(x86372,x86373,f245(f935(x86372,a923)),x86371),x86374)),x86374) % 199.45/199.84 [8720]P39(x87201,x87202)+~P39(x87201,f330(f330(f312(f934(x87201,x87201)),f330(f330(f255(x87201,x87201),x87203),x87204)),x87202)) % 199.45/199.84 [8721]P60(x87211,x87212)+~P60(x87211,f330(f330(f312(f934(x87211,x87211)),f330(f330(f255(x87211,x87211),x87213),x87214)),x87212)) % 199.45/199.84 [8726]~P110(x87261)+E(f330(f330(f151(x87261,x87261,f5(x87261)),x87262),f330(f330(f151(x87261,x87261,f5(x87261)),x87263),x87264)),f330(f330(f151(x87261,x87261,f5(x87261)),x87263),f330(f330(f151(x87261,x87261,f5(x87261)),x87262),x87264))) % 199.45/199.84 [8741]E(x87411,x87412)+~P108(f330(f63(x87413,x87414,f330(f330(f312(x87413),x87411),f191(f935(x87413,a923)))),x87412)) % 199.45/199.84 [8750]E(f330(f330(f137(x87501),f330(f330(f178(x87501),x87502),x87503)),f330(f330(f178(x87501),x87504),f330(f330(f141(x87501),x87502),x87503))),f330(f330(f178(x87501),f330(f330(f82(a928),x87502),x87504)),x87503))+~P108(f330(f330(f238(a928),f330(f330(f82(a928),x87502),x87504)),f330(f192(f929(x87501)),x87503))) % 199.45/199.84 [8789]P108(f330(f62(x87891),x87892))+~E(x87892,f330(f313(a928,x87891,x87893),f330(f265(a928),f330(f330(f7(a928,a928,a923),f239(a928)),x87894)))) % 199.45/199.84 [8809]~P92(x88091)+E(f330(f145(x88091,x88091,f82(x88091),f330(f330(f82(x88091),x88092),x88093)),x88094),f330(f330(f82(x88091),x88092),f330(f145(x88091,x88091,f82(x88091),x88093),x88094))) % 199.45/199.84 [8845]P108(f330(f330(f238(f935(x88451,a923)),f330(f267(x88451,x88452),x88453)),f330(f267(x88451,x88452),x88454)))+~P108(f330(f330(f238(f935(f934(x88451,x88452),a923)),x88453),x88454)) % 199.45/199.84 [8857]~P108(f330(f330(f238(a928),x88572),x88574))+P108(f330(f330(f238(f935(x88571,a923)),f330(f175(x88571),f330(f330(f178(x88571),x88572),x88573))),f330(f175(x88571),f330(f330(f178(x88571),x88574),x88573)))) % 199.45/199.84 [8858]~P108(f330(f330(f238(a928),x88584),x88582))+P108(f330(f330(f238(f935(x88581,a923)),f330(f175(x88581),f330(f330(f141(x88581),x88582),x88583))),f330(f175(x88581),f330(f330(f141(x88581),x88584),x88583)))) % 199.45/199.84 [8915]~P108(f330(f62(x89151),f330(f330(f23(f935(x89151,a923)),x89152),x89154)))+P108(f330(f62(x89151),f330(f330(f23(f935(x89151,a923)),x89152),f330(f330(f312(x89151),x89153),x89154)))) % 199.45/199.84 [8957]P108(f330(f330(f332(f934(x89571,x89571)),x89572),f310(x89571,x89573)))+~P108(f330(f330(f332(f934(x89571,x89571)),x89572),f330(f330(f186(f934(x89571,x89571),a923),x89574),x89573))) % 199.45/199.84 [9043]~P108(f330(f62(x90431),f330(f330(f23(f935(x90431,a923)),x90432),f330(f330(f312(x90431),x90434),x90433))))+P108(f330(f62(x90431),f330(f330(f23(f935(x90431,a923)),x90432),x90433))) % 199.45/199.84 [9259]~P110(x92591)+P108(f330(f330(f238(x92591),f330(f330(f237(x92591),x92592),f330(f330(f236(x92591),x92593),x92594))),f330(f330(f236(x92591),f330(f330(f237(x92591),x92592),x92593)),f330(f330(f237(x92591),x92592),x92594)))) % 199.45/199.84 [9260]~P99(x92601)+P108(f330(f330(f238(x92601),f330(f330(f113(x92601),x92602),f330(f330(f104(x92601),x92603),x92604))),f330(f330(f104(x92601),f330(f330(f113(x92601),x92602),x92603)),f330(f330(f113(x92601),x92602),x92604)))) % 199.45/199.84 [9408]E(x94081,x94082)+~P108(f330(f330(f332(f934(x94083,x94083)),f330(f330(f255(x94083,x94083),x94081),x94082)),f330(f175(f934(x94083,x94083)),f330(f330(f184(x94083,x94083),x94084),x94084)))) % 199.45/199.84 [9438]~P108(f330(f330(f332(f934(x94381,x94381)),f330(f330(f255(x94381,x94381),x94383),x94382)),f310(x94381,x94384)))+~P39(x94381,f330(f330(f312(f934(x94381,x94381)),f330(f330(f255(x94381,x94381),x94382),x94383)),x94384)) % 199.45/199.84 [9439]~P108(f330(f330(f332(f934(x94391,x94391)),f330(f330(f255(x94391,x94391),x94393),x94392)),f310(x94391,x94394)))+~P60(x94391,f330(f330(f312(f934(x94391,x94391)),f330(f330(f255(x94391,x94391),x94392),x94393)),x94394)) % 199.45/199.84 [9443]E(x94431,x94432)+E(f330(f139(x94433,f330(f330(f8(a923,a923,x94433),a325),f330(a327,x94431))),f330(f330(f154(x94433),x94432),x94434)),f330(f330(f154(x94433),x94432),f330(f139(x94433,f330(f330(f8(a923,a923,x94433),a325),f330(a327,x94431))),x94434))) % 199.45/199.84 [9473]~P26(x94732,x94731,x94733,f245(f935(x94732,a923)),f245(f935(x94731,a923)))+E(f330(f313(x94731,x94732,f94(x94732,x94731,f245(f935(x94732,a923)),x94733)),x94734),f330(f314(x94732,x94731,x94733),x94734)) % 199.45/199.84 [9488]~P110(x94881)+P108(f330(f330(f238(x94881),f330(f330(f237(x94881),f330(f330(f236(x94881),x94882),x94883)),f330(f330(f236(x94881),x94882),x94884))),f330(f330(f236(x94881),x94882),f330(f330(f237(x94881),x94883),x94884)))) % 199.45/199.84 [9489]~P99(x94891)+P108(f330(f330(f238(x94891),f330(f330(f113(x94891),f330(f330(f104(x94891),x94892),x94893)),f330(f330(f104(x94891),x94892),x94894))),f330(f330(f104(x94891),x94892),f330(f330(f113(x94891),x94893),x94894)))) % 199.45/199.84 [9550]~P26(x95502,x95501,x95504,f245(f935(x95502,a923)),f245(f935(x95501,a923)))+E(f330(f265(x95501),f330(f330(f8(x95502,a923,x95501),x95503),f94(x95502,x95501,f245(f935(x95502,a923)),x95504))),f330(f313(x95502,x95501,x95504),f330(f265(x95502),x95503))) % 199.45/199.84 [9564]~E(f330(f313(x95642,x95641,x95643),f245(f935(x95642,a923))),f245(f935(x95641,a923)))+P108(f330(f330(f238(f935(x95641,a923)),f330(f81(f935(x95641,a923)),f330(f313(x95642,x95641,x95643),x95644))),f330(f313(x95642,x95641,x95643),f330(f81(f935(x95642,a923)),x95644)))) % 199.45/199.84 [9890]P108(f330(f330(f332(f934(x98901,x98901)),f330(f330(f255(x98901,x98901),x98902),x98903)),f330(f289(x98901,x98901),f330(f330(f292(x98901,x98901,x98901),x98904),f310(x98901,x98904)))))+~P108(f330(f330(f332(f934(x98901,x98901)),f330(f330(f255(x98901,x98901),x98902),x98903)),f330(f330(f292(x98901,x98901,x98901),f330(f289(x98901,x98901),x98904)),f310(x98901,f330(f289(x98901,x98901),x98904))))) % 199.45/199.84 [9891]~P108(f330(f330(f332(f934(x98911,x98911)),f330(f330(f255(x98911,x98911),x98912),x98913)),f330(f289(x98911,x98911),f330(f330(f292(x98911,x98911,x98911),x98914),f310(x98911,x98914)))))+P108(f330(f330(f332(f934(x98911,x98911)),f330(f330(f255(x98911,x98911),x98912),x98913)),f330(f330(f292(x98911,x98911,x98911),f330(f289(x98911,x98911),x98914)),f310(x98911,f330(f289(x98911,x98911),x98914))))) % 199.45/199.84 [9912]~P108(f330(f330(f332(x99122),x99124),f330(f287(x99121,x99122),x99123)))+P108(f330(f330(f332(f934(x99121,x99122)),f330(f330(f255(x99121,x99122),f543(x99123,x99121,x99124,x99122)),x99124)),x99123)) % 199.45/199.84 [9913]~P108(f330(f330(f332(x99132),x99134),f330(f287(x99131,x99132),x99133)))+P108(f330(f330(f332(f934(x99131,x99132)),f330(f330(f255(x99131,x99132),f544(x99133,x99131,x99134,x99132)),x99134)),x99133)) % 199.45/199.84 [9938]~P108(f330(f330(f332(x99381),x99384),f330(f330(f104(f935(x99381,a923)),x99382),x99383)))+P108(f330(f330(f330(f104(f935(x99381,a923)),f330(f330(f7(x99381,f935(x99381,a923),a923),f332(x99381)),x99382)),f330(f330(f7(x99381,f935(x99381,a923),a923),f332(x99381)),x99383)),x99384)) % 199.45/199.84 [9939]~P108(f330(f330(f332(x99391),x99394),f330(f330(f113(f935(x99391,a923)),x99392),x99393)))+P108(f330(f330(f330(f113(f935(x99391,a923)),f330(f330(f7(x99391,f935(x99391,a923),a923),f332(x99391)),x99392)),f330(f330(f7(x99391,f935(x99391,a923),a923),f332(x99391)),x99393)),x99394)) % 199.45/199.84 [10020]~P108(f330(f330(f332(f934(x100201,x100201)),f330(f330(f255(x100201,x100201),x100204),x100203)),f330(f330(f292(x100201,x100201,x100201),x100202),f310(x100201,x100202))))+P108(f330(f330(f332(f934(x100201,x100201)),f330(f330(f255(x100201,x100201),f639(x100202,x100203,x100204,x100201)),x100203)),x100202)) % 199.45/199.84 [10055]P108(f330(f330(f332(x100551),x100552),f330(f330(f104(f935(x100551,a923)),x100553),x100554)))+~P108(f330(f330(f330(f104(f935(x100551,a923)),f330(f330(f7(x100551,f935(x100551,a923),a923),f332(x100551)),x100553)),f330(f330(f7(x100551,f935(x100551,a923),a923),f332(x100551)),x100554)),x100552)) % 199.45/199.84 [10056]P108(f330(f330(f332(x100561),x100562),f330(f330(f113(f935(x100561,a923)),x100563),x100564)))+~P108(f330(f330(f330(f113(f935(x100561,a923)),f330(f330(f7(x100561,f935(x100561,a923),a923),f332(x100561)),x100563)),f330(f330(f7(x100561,f935(x100561,a923),a923),f332(x100561)),x100564)),x100562)) % 199.45/199.84 [10330]P34(x103301,f330(f330(f7(x103301,f935(f934(x103301,x103301),a923),f935(x103301,a923)),f330(f330(f8(f935(x103301,f935(f935(f934(x103301,x103301),a923),a923)),f935(f935(f934(x103301,x103301),a923),f935(x103301,a923)),x103301),f7(x103301,f935(f934(x103301,x103301),a923),a923)),f330(f330(f8(f935(x103301,f934(x103301,x103301)),f935(x103301,f935(f935(f934(x103301,x103301),a923),a923)),x103301),f330(f8(f934(x103301,x103301),f935(f935(f934(x103301,x103301),a923),a923),x103301),f332(f934(x103301,x103301)))),f255(x103301,x103301)))),x103302),x103303,x103304)+~P108(f330(f330(f332(f934(f929(x103301),f929(x103301))),f330(f330(f255(f929(x103301),f929(x103301)),x103303),x103304)),f161(x103301,x103302))) % 199.45/199.84 [10334]P61(x103341,f330(f330(f7(x103341,f935(f934(x103341,x103341),a923),f935(x103341,a923)),f330(f330(f8(f935(x103341,f935(f935(f934(x103341,x103341),a923),a923)),f935(f935(f934(x103341,x103341),a923),f935(x103341,a923)),x103341),f7(x103341,f935(f934(x103341,x103341),a923),a923)),f330(f330(f8(f935(x103341,f934(x103341,x103341)),f935(x103341,f935(f935(f934(x103341,x103341),a923),a923)),x103341),f330(f8(f934(x103341,x103341),f935(f935(f934(x103341,x103341),a923),a923),x103341),f332(f934(x103341,x103341)))),f255(x103341,x103341)))),x103342),x103343,x103344)+~P108(f330(f330(f332(f934(f935(x103341,a923),f935(x103341,a923))),f330(f330(f255(f935(x103341,a923),f935(x103341,a923)),x103343),x103344)),f321(x103341,x103342))) % 199.45/199.84 [10370]E(x103701,x103702)+~E(f330(f330(f7(x103703,f935(f934(x103703,x103704),a923),f935(x103704,a923)),f330(f330(f8(f935(x103704,f935(f935(f934(x103703,x103704),a923),a923)),f935(f935(f934(x103703,x103704),a923),f935(x103704,a923)),x103703),f7(x103704,f935(f934(x103703,x103704),a923),a923)),f330(f330(f8(f935(x103704,f934(x103703,x103704)),f935(x103704,f935(f935(f934(x103703,x103704),a923),a923)),x103703),f330(f8(f934(x103703,x103704),f935(f935(f934(x103703,x103704),a923),a923),x103704),f332(f934(x103703,x103704)))),f255(x103703,x103704)))),x103701),f330(f330(f7(x103703,f935(f934(x103703,x103704),a923),f935(x103704,a923)),f330(f330(f8(f935(x103704,f935(f935(f934(x103703,x103704),a923),a923)),f935(f935(f934(x103703,x103704),a923),f935(x103704,a923)),x103703),f7(x103704,f935(f934(x103703,x103704),a923),a923)),f330(f330(f8(f935(x103704,f934(x103703,x103704)),f935(x103704,f935(f935(f934(x103703,x103704),a923),a923)),x103703),f330(f8(f934(x103703,x103704),f935(f935(f934(x103703,x103704),a923),a923),x103704),f332(f934(x103703,x103704)))),f255(x103703,x103704)))),x103702)) % 199.45/199.84 [10373]~P34(x103731,f330(f330(f7(x103731,f935(f934(x103731,x103731),a923),f935(x103731,a923)),f330(f330(f8(f935(x103731,f935(f935(f934(x103731,x103731),a923),a923)),f935(f935(f934(x103731,x103731),a923),f935(x103731,a923)),x103731),f7(x103731,f935(f934(x103731,x103731),a923),a923)),f330(f330(f8(f935(x103731,f934(x103731,x103731)),f935(x103731,f935(f935(f934(x103731,x103731),a923),a923)),x103731),f330(f8(f934(x103731,x103731),f935(f935(f934(x103731,x103731),a923),a923),x103731),f332(f934(x103731,x103731)))),f255(x103731,x103731)))),x103734),x103732,x103733)+P108(f330(f330(f332(f934(f929(x103731),f929(x103731))),f330(f330(f255(f929(x103731),f929(x103731)),x103732),x103733)),f161(x103731,x103734))) % 199.45/199.84 [10374]~P61(x103741,f330(f330(f7(x103741,f935(f934(x103741,x103741),a923),f935(x103741,a923)),f330(f330(f8(f935(x103741,f935(f935(f934(x103741,x103741),a923),a923)),f935(f935(f934(x103741,x103741),a923),f935(x103741,a923)),x103741),f7(x103741,f935(f934(x103741,x103741),a923),a923)),f330(f330(f8(f935(x103741,f934(x103741,x103741)),f935(x103741,f935(f935(f934(x103741,x103741),a923),a923)),x103741),f330(f8(f934(x103741,x103741),f935(f935(f934(x103741,x103741),a923),a923),x103741),f332(f934(x103741,x103741)))),f255(x103741,x103741)))),x103744),x103742,x103743)+P108(f330(f330(f332(f934(f935(x103741,a923),f935(x103741,a923))),f330(f330(f255(f935(x103741,a923),f935(x103741,a923)),x103742),x103743)),f321(x103741,x103744))) % 199.45/199.84 [7754]~P95(x77541)+E(f330(f330(f83(x77541),f330(f106(x77541),x77542)),f330(f330(f83(x77541),f330(f106(x77541),x77543)),x77544)),f330(f330(f83(x77541),f330(f106(x77541),f330(f330(f83(a1),x77542),x77543))),x77544)) % 199.45/199.84 [7755]~P95(x77551)+E(f330(f330(f82(x77551),f330(f106(x77551),x77552)),f330(f330(f23(x77551),f330(f106(x77551),x77553)),x77554)),f330(f330(f23(x77551),f330(f106(x77551),f330(f330(f82(a1),x77552),x77553))),x77554)) % 199.45/199.84 [7756]~P95(x77561)+E(f330(f330(f82(x77561),f330(f106(x77561),x77562)),f330(f330(f82(x77561),f330(f106(x77561),x77563)),x77564)),f330(f330(f82(x77561),f330(f106(x77561),f330(f330(f82(a1),x77562),x77563))),x77564)) % 199.45/199.84 [7798]~P148(x77981)+E(f330(f168(x77981),f330(f330(f157(x77982,x77981),f330(f16(x77981,x77982),x77983)),x77984)),f330(f330(f83(x77981),f330(f103(x77981),f330(f192(f929(x77982)),x77984))),x77983)) % 199.45/199.84 [8035]E(f330(f271(x80351,f330(f330(f154(f934(a102,x80351)),x80352),x80353)),x80354),f330(f259(a102,x80351),x80352))+~P108(f330(f330(f239(a102),x80354),f330(f254(a102,x80351),x80352))) % 199.45/199.84 [8075]~P95(x80751)+E(f330(f330(f82(x80751),f330(f106(x80751),x80752)),f330(f330(f23(x80751),x80753),f330(f106(x80751),x80754))),f330(f330(f82(x80751),f330(f106(x80751),f330(f330(f82(a1),x80752),f330(f81(a1),x80754)))),x80753)) % 199.45/199.84 [8209]E(f330(f271(x82091,x82092),f330(f330(f23(a102),x82093),f330(f254(a102,x82091),x82094))),f330(f271(x82091,f330(f330(f154(f934(a102,x82091)),x82094),x82092)),x82093))+P108(f330(f330(f239(a102),x82093),f330(f254(a102,x82091),x82094))) % 199.45/199.84 [8643]~P108(f330(f330(f332(x86431),x86432),f330(f175(x86431),f117(x86431,x86434))))+P108(f330(f330(f332(x86431),x86432),f330(f175(x86431),f117(x86431,f330(f330(f137(x86431),x86433),x86434))))) % 199.45/199.84 [8644]~P108(f330(f330(f332(x86441),x86442),f330(f175(x86441),f117(x86441,x86443))))+P108(f330(f330(f332(x86441),x86442),f330(f175(x86441),f117(x86441,f330(f330(f137(x86441),x86443),x86444))))) % 199.45/199.84 [8663]E(f330(f330(f113(f935(x86631,a923)),f330(f330(f104(f935(x86631,a923)),x86632),x86633)),x86634),f330(f330(f104(f935(x86631,a923)),x86632),f330(f330(f113(f935(x86631,a923)),x86633),x86634)))+~P108(f330(f330(f238(f935(x86631,a923)),x86634),x86632)) % 199.45/199.84 [8971]~E(f330(f330(f113(f935(x89711,a923)),f330(f330(f104(f935(x89711,a923)),x89713),x89714)),x89712),f330(f330(f104(f935(x89711,a923)),x89713),f330(f330(f113(f935(x89711,a923)),x89714),x89712)))+P108(f330(f330(f238(f935(x89711,a923)),x89712),x89713)) % 199.45/199.84 [9264]~P108(f330(f330(f238(f935(x92641,a923)),x92642),f330(f330(f113(f935(x92641,a923)),x92643),x92644)))+P108(f330(f330(f238(f935(x92641,a923)),f330(f330(f23(f935(x92641,a923)),x92642),x92643)),x92644)) % 199.45/199.84 [9380]~E(f330(f313(x93801,x93802,x93803),f245(f935(x93801,a923))),f245(f935(x93802,a923)))+E(f330(f313(x93801,x93802,x93803),f330(f313(x93802,x93801,f94(x93801,x93802,f245(f935(x93801,a923)),x93803)),x93804)),x93804) % 199.45/199.84 [9385]P108(f330(f330(f238(f935(x93851,a923)),x93852),f330(f330(f113(f935(x93851,a923)),x93853),x93854)))+~P108(f330(f330(f238(f935(x93851,a923)),f330(f330(f23(f935(x93851,a923)),x93852),x93853)),x93854)) % 199.45/199.84 [9469]~P86(x94691)+E(f330(f77(x94691),f330(f330(f6(x94692,x94691),f330(f330(f8(x94691,x94691,x94692),f77(x94691)),x94693)),x94694)),f330(f330(f6(x94692,x94691),f330(f330(f8(x94691,x94691,x94692),f77(x94691)),x94693)),x94694)) % 199.45/199.84 [9640]~P86(x96401)+P108(f330(f330(f238(x96401),f2(x96401)),f330(f330(f6(x96402,x96401),f330(f330(f8(x96401,x96401,x96402),f77(x96401)),x96403)),x96404))) % 199.45/199.84 [9644]~P3(x96441)+E(f330(f168(x96441),f330(f330(f157(x96442,x96441),f330(f74(x96441,x96441,x96442,f81(x96441)),x96443)),x96444)),f330(f81(x96441),f330(f168(x96441),f330(f330(f157(x96442,x96441),x96443),x96444)))) % 199.45/199.84 [9786]~P86(x97861)+P108(f330(f330(f238(x97861),f330(f77(x97861),f330(f330(f6(x97862,x97861),x97863),x97864))),f330(f330(f6(x97862,x97861),f330(f330(f8(x97861,x97861,x97862),f77(x97861)),x97863)),x97864))) % 199.45/199.84 [9815]~E(f330(f330(f82(a928),x98151),x98154),f330(f330(f82(a928),x98153),x98152))+P108(f330(f330(f332(f934(f934(a928,a928),f934(a928,a928))),f330(f330(f255(f934(a928,a928),f934(a928,a928)),f330(f330(f255(a928,a928),x98151),x98152)),f330(f330(f255(a928,a928),x98153),x98154))),a111)) % 199.45/199.84 [9816]~P108(f330(f330(f239(a928),x98161),x98163))+P108(f330(f330(f332(f934(f934(a928,a928),f934(a928,a928))),f330(f330(f255(f934(a928,a928),f934(a928,a928)),f330(f330(f255(a928,a928),x98161),x98162)),f330(f330(f255(a928,a928),x98163),x98164))),a34)) % 199.45/199.84 [9817]~P108(f330(f330(f239(a928),x98171),x98173))+P108(f330(f330(f332(f934(f934(a928,a928),f934(a928,a928))),f330(f330(f255(f934(a928,a928),f934(a928,a928)),f330(f330(f255(a928,a928),x98171),x98172)),f330(f330(f255(a928,a928),x98173),x98174))),a72)) % 199.45/199.84 [9963]E(f330(f330(f82(a928),x99631),x99632),f330(f330(f82(a928),x99633),x99634))+~P108(f330(f330(f332(f934(f934(a928,a928),f934(a928,a928))),f330(f330(f255(f934(a928,a928),f934(a928,a928)),f330(f330(f255(a928,a928),x99631),x99634)),f330(f330(f255(a928,a928),x99633),x99632))),a111)) % 199.45/199.84 [9995]E(f330(f330(f167(x99951),f330(f330(f141(x99951),f330(f192(f929(x99951)),f180(x99951,x99952,x99953))),x99953)),x99954),f330(f330(f167(x99951),x99953),f330(f330(f82(a928),x99954),f330(f192(f929(x99951)),f180(x99951,x99952,x99953)))))+~P108(f330(f330(f239(a928),x99954),f330(f192(f929(x99951)),f330(f330(f141(x99951),f330(f192(f929(x99951)),f180(x99951,x99952,x99953))),x99953)))) % 199.45/199.84 [10011]~P108(f330(f330(f332(x100112),x100114),f330(f330(f40(x100111,f935(x100112,a923)),f245(f935(x100111,a923))),x100113)))+P108(f330(f330(f330(f40(x100111,f935(x100112,a923)),f245(f935(x100111,a923))),f330(f330(f8(f935(x100112,a923),f935(x100112,a923),x100111),f330(f7(x100112,f935(x100112,a923),a923),f332(x100112))),x100113)),x100114)) % 199.45/199.84 [10012]~P108(f330(f330(f332(x100122),x100124),f330(f330(f41(x100121,f935(x100122,a923)),f245(f935(x100121,a923))),x100123)))+P108(f330(f330(f330(f41(x100121,f935(x100122,a923)),f245(f935(x100121,a923))),f330(f330(f8(f935(x100122,a923),f935(x100122,a923),x100121),f330(f7(x100122,f935(x100122,a923),a923),f332(x100122))),x100123)),x100124)) % 199.45/199.84 [10082]~P108(f330(f50(x100821,x100822),f330(f330(f255(a1,a1),x100824),x100823)))+P108(f330(f50(f330(f81(a1),x100821),x100822),f330(f330(f255(a1,a1),f330(f330(f330(f99(a1),f330(f330(a327,x100823),f2(a1))),f330(f81(a1),x100824)),f330(f330(f23(a1),f330(f81(a1),x100824)),f80(a1)))),f330(f330(f330(f99(a1),f330(f330(a327,x100823),f2(a1))),f2(a1)),f330(f330(f23(a1),x100822),x100823))))) % 199.45/199.84 [10094]P108(f330(f330(f332(x100941),x100942),f330(f330(f40(x100943,f935(x100941,a923)),f245(f935(x100943,a923))),x100944)))+~P108(f330(f330(f330(f40(x100943,f935(x100941,a923)),f245(f935(x100943,a923))),f330(f330(f8(f935(x100941,a923),f935(x100941,a923),x100943),f330(f7(x100941,f935(x100941,a923),a923),f332(x100941))),x100944)),x100942)) % 199.45/199.84 [10095]P108(f330(f330(f332(x100951),x100952),f330(f330(f41(x100953,f935(x100951,a923)),f245(f935(x100953,a923))),x100954)))+~P108(f330(f330(f330(f41(x100953,f935(x100951,a923)),f245(f935(x100953,a923))),f330(f330(f8(f935(x100951,a923),f935(x100951,a923),x100953),f330(f7(x100951,f935(x100951,a923),a923),f332(x100951))),x100954)),x100952)) % 199.45/199.84 [10107]E(f330(f330(f40(a928,f935(x101071,a923)),f245(f935(a928,a923))),x101072),f330(f330(f40(a928,f935(x101071,a923)),f245(f935(a928,a923))),x101073))+~E(f330(f330(f40(a928,f935(x101071,a923)),f330(f305(a928,f2(a928)),f506(x101072,x101074,x101073,x101071))),x101073),f330(f330(f40(a928,f935(x101071,a923)),f330(f305(a928,f2(a928)),f330(f330(f82(a928),f506(x101072,x101074,x101073,x101071)),x101074))),x101072)) % 199.45/199.84 [10450]~P108(f330(f330(f238(f935(f934(x104501,x104502),a923)),x104503),x104504))+P108(f330(f330(f238(f935(x104501,f935(x104502,a923))),f330(f330(f7(x104501,f935(f934(x104501,x104502),a923),f935(x104502,a923)),f330(f330(f8(f935(x104502,f935(f935(f934(x104501,x104502),a923),a923)),f935(f935(f934(x104501,x104502),a923),f935(x104502,a923)),x104501),f7(x104502,f935(f934(x104501,x104502),a923),a923)),f330(f330(f8(f935(x104502,f934(x104501,x104502)),f935(x104502,f935(f935(f934(x104501,x104502),a923),a923)),x104501),f330(f8(f934(x104501,x104502),f935(f935(f934(x104501,x104502),a923),a923),x104502),f332(f934(x104501,x104502)))),f255(x104501,x104502)))),x104503)),f330(f330(f7(x104501,f935(f934(x104501,x104502),a923),f935(x104502,a923)),f330(f330(f8(f935(x104502,f935(f935(f934(x104501,x104502),a923),a923)),f935(f935(f934(x104501,x104502),a923),f935(x104502,a923)),x104501),f7(x104502,f935(f934(x104501,x104502),a923),a923)),f330(f330(f8(f935(x104502,f934(x104501,x104502)),f935(x104502,f935(f935(f934(x104501,x104502),a923),a923)),x104501),f330(f8(f934(x104501,x104502),f935(f935(f934(x104501,x104502),a923),a923),x104502),f332(f934(x104501,x104502)))),f255(x104501,x104502)))),x104504))) % 199.45/199.84 [10467]P108(f330(f330(f238(f935(f934(x104671,x104672),a923)),x104673),x104674))+~P108(f330(f330(f238(f935(x104671,f935(x104672,a923))),f330(f330(f7(x104671,f935(f934(x104671,x104672),a923),f935(x104672,a923)),f330(f330(f8(f935(x104672,f935(f935(f934(x104671,x104672),a923),a923)),f935(f935(f934(x104671,x104672),a923),f935(x104672,a923)),x104671),f7(x104672,f935(f934(x104671,x104672),a923),a923)),f330(f330(f8(f935(x104672,f934(x104671,x104672)),f935(x104672,f935(f935(f934(x104671,x104672),a923),a923)),x104671),f330(f8(f934(x104671,x104672),f935(f935(f934(x104671,x104672),a923),a923),x104672),f332(f934(x104671,x104672)))),f255(x104671,x104672)))),x104673)),f330(f330(f7(x104671,f935(f934(x104671,x104672),a923),f935(x104672,a923)),f330(f330(f8(f935(x104672,f935(f935(f934(x104671,x104672),a923),a923)),f935(f935(f934(x104671,x104672),a923),f935(x104672,a923)),x104671),f7(x104672,f935(f934(x104671,x104672),a923),a923)),f330(f330(f8(f935(x104672,f934(x104671,x104672)),f935(x104672,f935(f935(f934(x104671,x104672),a923),a923)),x104671),f330(f8(f934(x104671,x104672),f935(f935(f934(x104671,x104672),a923),a923),x104672),f332(f934(x104671,x104672)))),f255(x104671,x104672)))),x104674))) % 199.45/199.84 [9515]~P108(f330(f330(f332(f934(x95151,x95151)),x95152),f310(x95151,x95154)))+P108(f330(f330(f332(f934(x95151,x95151)),x95152),f310(x95151,f330(f330(f113(f935(f934(x95151,x95151),a923)),x95153),x95154)))) % 199.45/199.84 [9516]~P108(f330(f330(f332(f934(x95161,x95161)),x95162),f310(x95161,x95163)))+P108(f330(f330(f332(f934(x95161,x95161)),x95162),f310(x95161,f330(f330(f113(f935(f934(x95161,x95161),a923)),x95163),x95164)))) % 199.45/199.84 [10194]~P108(f330(f330(f238(a928),f330(f330(f82(a928),x101941),x101944)),f330(f330(f82(a928),x101943),x101942)))+P108(f330(f330(f238(a1),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x101941),x101942)),f191(f935(f934(a928,a928),a923)))))),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x101943),x101944)),f191(f935(f934(a928,a928),a923))))))) % 199.45/199.84 [10195]~P108(f330(f330(f239(a928),f330(f330(f82(a928),x101951),x101954)),f330(f330(f82(a928),x101953),x101952)))+P108(f330(f330(f239(a1),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x101951),x101952)),f191(f935(f934(a928,a928),a923)))))),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x101953),x101954)),f191(f935(f934(a928,a928),a923))))))) % 199.45/199.84 [10274]P108(f330(f330(f238(a928),f330(f330(f82(a928),x102741),x102742)),f330(f330(f82(a928),x102743),x102744)))+~P108(f330(f330(f238(a1),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x102741),x102744)),f191(f935(f934(a928,a928),a923)))))),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x102743),x102742)),f191(f935(f934(a928,a928),a923))))))) % 199.45/199.84 [10275]P108(f330(f330(f239(a928),f330(f330(f82(a928),x102751),x102752)),f330(f330(f82(a928),x102753),x102754)))+~P108(f330(f330(f239(a1),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x102751),x102754)),f191(f935(f934(a928,a928),a923)))))),f330(a91,f330(f288(f934(a928,a928),f934(a928,a928),a111),f330(f330(f312(f934(a928,a928)),f330(f330(f255(a928,a928),x102753),x102752)),f191(f935(f934(a928,a928),a923))))))) % 199.45/199.84 [10316]P108(f330(f330(f238(f935(x103161,a923)),f330(f330(f40(a928,f935(x103161,a923)),f245(f935(a928,a923))),x103162)),f330(f330(f40(a928,f935(x103161,a923)),f245(f935(a928,a923))),x103163)))+~P108(f330(f330(f238(f935(x103161,a923)),f330(f330(f40(a928,f935(x103161,a923)),f330(f305(a928,f2(a928)),f507(x103163,x103164,x103162,x103161))),x103162)),f330(f330(f40(a928,f935(x103161,a923)),f330(f305(a928,f2(a928)),f330(f330(f82(a928),f507(x103163,x103164,x103162,x103161)),x103164))),x103163))) % 199.45/199.84 [10377]P108(f330(f330(f238(a102),x103774),f2(a102)))+E(f330(f330(f262(f934(a102,a102),f934(x103771,f935(a931,a326)),f934(a102,a102),f934(f935(a102,f935(a923,f932(f930(x103771)))),f934(a102,a102))),f330(x103772,x103773)),f330(f330(f8(f935(f935(a102,f935(a923,f932(f930(x103771)))),f935(f934(a102,a102),f934(f935(a102,f935(a923,f932(f930(x103771)))),f934(a102,a102)))),f935(f934(a102,a102),f934(f935(a102,f935(a923,f932(f930(x103771)))),f934(a102,a102))),f934(x103771,f935(a931,a326))),f330(f262(f934(a102,a102),f935(a102,f935(a923,f932(f930(x103771)))),f934(a102,a102),f934(f935(a102,f935(a923,f932(f930(x103771)))),f934(a102,a102))),f280(x103771,x103772,f330(f330(f23(a102),x103774),f80(a102)),x103773))),f330(f330(f8(f935(f935(a102,f935(a923,f932(f930(x103771)))),f935(a102,f935(a923,f932(f930(x103771))))),f935(f935(a102,f935(a923,f932(f930(x103771)))),f935(f934(a102,a102),f934(f935(a102,f935(a923,f932(f930(x103771)))),f934(a102,a102)))),f934(x103771,f935(a931,a326))),f330(f8(f935(a102,f935(a923,f932(f930(x103771)))),f935(f934(a102,a102),f934(f935(a102,f935(a923,f932(f930(x103771)))),f934(a102,a102))),f935(a102,f935(a923,f932(f930(x103771))))),f255(f935(a102,f935(a923,f932(f930(x103771)))),f934(a102,a102)))),f330(f330(f8(f935(a102,f935(a923,f932(f930(x103771)))),f935(f935(a102,f935(a923,f932(f930(x103771)))),f935(a102,f935(a923,f932(f930(x103771))))),f934(x103771,f935(a931,a326))),f45(x103771)),f330(f330(f8(x103771,f935(a102,f935(a923,f932(f930(x103771)))),f934(x103771,f935(a931,a326))),f43(x103771)),f254(x103771,f935(a931,a326))))))),f280(x103771,x103772,x103774,x103773)) % 199.45/199.84 [10439]~P108(f330(f330(f332(x104392),x104394),f330(f287(x104391,x104392),x104393)))+P108(f330(f253(x104391,x104392,f330(f330(f7(x104391,f935(f934(x104391,x104392),a923),f935(x104392,a923)),f330(f330(f8(f935(x104392,f935(f935(f934(x104391,x104392),a923),a923)),f935(f935(f934(x104391,x104392),a923),f935(x104392,a923)),x104391),f7(x104392,f935(f934(x104391,x104392),a923),a923)),f330(f330(f8(f935(x104392,f934(x104391,x104392)),f935(x104392,f935(f935(f934(x104391,x104392),a923),a923)),x104391),f330(f8(f934(x104391,x104392),f935(f935(f934(x104391,x104392),a923),a923),x104392),f332(f934(x104391,x104392)))),f255(x104391,x104392)))),x104393)),x104394)) % 199.45/199.84 [10440]~P108(f330(f330(f332(x104401),x104404),f330(f267(x104401,x104402),x104403)))+P108(f330(f252(x104401,x104402,f330(f330(f7(x104401,f935(f934(x104401,x104402),a923),f935(x104402,a923)),f330(f330(f8(f935(x104402,f935(f935(f934(x104401,x104402),a923),a923)),f935(f935(f934(x104401,x104402),a923),f935(x104402,a923)),x104401),f7(x104402,f935(f934(x104401,x104402),a923),a923)),f330(f330(f8(f935(x104402,f934(x104401,x104402)),f935(x104402,f935(f935(f934(x104401,x104402),a923),a923)),x104401),f330(f8(f934(x104401,x104402),f935(f935(f934(x104401,x104402),a923),a923),x104402),f332(f934(x104401,x104402)))),f255(x104401,x104402)))),x104403)),x104404)) % 199.45/199.84 [10453]P108(f330(f330(f332(x104531),x104532),f330(f287(x104533,x104531),x104534)))+~P108(f330(f253(x104533,x104531,f330(f330(f7(x104533,f935(f934(x104533,x104531),a923),f935(x104531,a923)),f330(f330(f8(f935(x104531,f935(f935(f934(x104533,x104531),a923),a923)),f935(f935(f934(x104533,x104531),a923),f935(x104531,a923)),x104533),f7(x104531,f935(f934(x104533,x104531),a923),a923)),f330(f330(f8(f935(x104531,f934(x104533,x104531)),f935(x104531,f935(f935(f934(x104533,x104531),a923),a923)),x104533),f330(f8(f934(x104533,x104531),f935(f935(f934(x104533,x104531),a923),a923),x104531),f332(f934(x104533,x104531)))),f255(x104533,x104531)))),x104534)),x104532)) % 199.45/199.84 [10454]P108(f330(f330(f332(x104541),x104542),f330(f267(x104541,x104543),x104544)))+~P108(f330(f252(x104541,x104543,f330(f330(f7(x104541,f935(f934(x104541,x104543),a923),f935(x104543,a923)),f330(f330(f8(f935(x104543,f935(f935(f934(x104541,x104543),a923),a923)),f935(f935(f934(x104541,x104543),a923),f935(x104543,a923)),x104541),f7(x104543,f935(f934(x104541,x104543),a923),a923)),f330(f330(f8(f935(x104543,f934(x104541,x104543)),f935(x104543,f935(f935(f934(x104541,x104543),a923),a923)),x104541),f330(f8(f934(x104541,x104543),f935(f935(f934(x104541,x104543),a923),a923),x104543),f332(f934(x104541,x104543)))),f255(x104541,x104543)))),x104544)),x104542)) % 199.45/199.84 [10118]P108(f330(f163(x101181,x101182),x101183))+~P108(f330(f163(x101181,f330(f330(f18(x101181,a923,a923),f330(f330(f8(a923,f935(a923,a923),x101181),a328),x101184)),x101182)),x101183)) % 199.45/199.84 [10119]P108(f330(f163(x101191,x101192),x101193))+~P108(f330(f163(x101191,f330(f330(f18(x101191,a923,a923),f330(f330(f8(a923,f935(a923,a923),x101191),a328),x101192)),x101194)),x101193)) % 199.45/199.84 [10198]~P114(x101981)+E(f330(f330(f83(x101981),f330(f330(f82(x101981),f80(x101981)),f80(x101981))),f330(f330(f6(a928,x101981),f330(f330(f8(x101981,x101981,a928),f330(f82(x101981),x101982)),f330(f330(f7(a928,x101981,x101981),f330(f330(f8(x101981,f935(x101981,x101981),a928),f83(x101981)),f103(x101981))),x101983))),f330(f285(a928),x101984))),f330(f330(f83(x101981),f330(f103(x101981),x101984)),f330(f330(f82(x101981),x101982),f330(f330(f82(x101981),x101982),f330(f330(f83(x101981),f330(f103(x101981),f330(f330(f23(a928),x101984),f80(a928)))),x101983))))) % 199.45/199.84 [10337]P108(f330(x103371,f532(x103372,x103373,x103374,x103371)))+P39(x103372,f330(f265(f934(x103372,x103372)),f330(f260(x103372,x103372,a923),f330(f330(f8(f935(x103372,a923),f935(x103372,a923),x103372),f330(f18(x103372,a923,a923),f330(f330(f8(a923,f935(a923,a923),x103372),a328),x103371))),f330(f330(f7(x103372,f935(x103372,x103372),f935(x103372,a923)),f330(f330(f8(f935(x103372,a923),f935(f935(x103372,x103372),f935(x103372,a923)),x103372),f8(x103372,a923,x103372)),a327)),x103373))))) % 199.45/199.84 [10354]~P108(f330(f330(f239(a928),f330(x103544,f330(x103543,f532(x103541,x103543,x103544,x103542)))),f330(x103544,f532(x103541,x103543,x103544,x103542))))+P39(x103541,f330(f265(f934(x103541,x103541)),f330(f260(x103541,x103541,a923),f330(f330(f8(f935(x103541,a923),f935(x103541,a923),x103541),f330(f18(x103541,a923,a923),f330(f330(f8(a923,f935(a923,a923),x103541),a328),x103542))),f330(f330(f7(x103541,f935(x103541,x103541),f935(x103541,a923)),f330(f330(f8(f935(x103541,a923),f935(f935(x103541,x103541),f935(x103541,a923)),x103541),f8(x103541,a923,x103541)),a327)),x103543))))) % 199.45/199.84 [10424]~P5(x104241)+E(f39(x104241,f330(f265(x104241),f330(f330(f8(f935(f935(x104242,x104241),a923),a923,x104241),f89(f935(x104242,x104241))),f330(f330(f8(f935(f935(x104242,x104241),a923),f935(f935(x104242,x104241),a923),x104241),f330(f18(f935(x104242,x104241),a923,a923),f330(f330(f8(a923,f935(a923,a923),f935(x104242,x104241)),a328),f330(f330(f7(f935(x104242,x104241),f935(f935(x104242,x104241),a923),a923),f332(f935(x104242,x104241))),x104243)))),f330(f330(f7(x104241,f935(f935(x104242,x104241),x104241),f935(f935(x104242,x104241),a923)),f330(f330(f8(f935(x104241,a923),f935(f935(f935(x104242,x104241),x104241),f935(f935(x104242,x104241),a923)),x104241),f8(x104241,a923,f935(x104242,x104241))),a327)),f330(f330(f7(f935(x104242,x104241),x104242,x104241),f5(f935(x104242,x104241))),x104244)))))),f330(f39(f935(x104242,x104241),x104243),x104244)) % 199.45/199.84 [10425]~P5(x104251)+E(f39(x104251,f330(f265(x104251),f330(f330(f8(f935(f935(x104252,x104251),a923),a923,x104251),f89(f935(x104252,x104251))),f330(f330(f8(f935(f935(x104252,x104251),a923),f935(f935(x104252,x104251),a923),x104251),f330(f18(f935(x104252,x104251),a923,a923),f330(f330(f8(a923,f935(a923,a923),f935(x104252,x104251)),a328),f330(f330(f7(f935(x104252,x104251),f935(f935(x104252,x104251),a923),a923),f332(f935(x104252,x104251))),x104253)))),f330(f330(f7(x104251,f935(f935(x104252,x104251),x104251),f935(f935(x104252,x104251),a923)),f330(f330(f8(f935(x104251,a923),f935(f935(f935(x104252,x104251),x104251),f935(f935(x104252,x104251),a923)),x104251),f8(x104251,a923,f935(x104252,x104251))),a327)),f330(f330(f7(f935(x104252,x104251),x104252,x104251),f5(f935(x104252,x104251))),x104254)))))),f330(f39(f935(x104252,x104251),x104253),x104254)) % 199.45/199.84 [10426]~P5(x104261)+E(f38(x104261,f330(f265(x104261),f330(f330(f8(f935(f935(x104262,x104261),a923),a923,x104261),f89(f935(x104262,x104261))),f330(f330(f8(f935(f935(x104262,x104261),a923),f935(f935(x104262,x104261),a923),x104261),f330(f18(f935(x104262,x104261),a923,a923),f330(f330(f8(a923,f935(a923,a923),f935(x104262,x104261)),a328),f330(f330(f7(f935(x104262,x104261),f935(f935(x104262,x104261),a923),a923),f332(f935(x104262,x104261))),x104263)))),f330(f330(f7(x104261,f935(f935(x104262,x104261),x104261),f935(f935(x104262,x104261),a923)),f330(f330(f8(f935(x104261,a923),f935(f935(f935(x104262,x104261),x104261),f935(f935(x104262,x104261),a923)),x104261),f8(x104261,a923,f935(x104262,x104261))),a327)),f330(f330(f7(f935(x104262,x104261),x104262,x104261),f5(f935(x104262,x104261))),x104264)))))),f330(f38(f935(x104262,x104261),x104263),x104264)) % 199.45/199.84 [10427]~P5(x104271)+E(f38(x104271,f330(f265(x104271),f330(f330(f8(f935(f935(x104272,x104271),a923),a923,x104271),f89(f935(x104272,x104271))),f330(f330(f8(f935(f935(x104272,x104271),a923),f935(f935(x104272,x104271),a923),x104271),f330(f18(f935(x104272,x104271),a923,a923),f330(f330(f8(a923,f935(a923,a923),f935(x104272,x104271)),a328),f330(f330(f7(f935(x104272,x104271),f935(f935(x104272,x104271),a923),a923),f332(f935(x104272,x104271))),x104273)))),f330(f330(f7(x104271,f935(f935(x104272,x104271),x104271),f935(f935(x104272,x104271),a923)),f330(f330(f8(f935(x104271,a923),f935(f935(f935(x104272,x104271),x104271),f935(f935(x104272,x104271),a923)),x104271),f8(x104271,a923,f935(x104272,x104271))),a327)),f330(f330(f7(f935(x104272,x104271),x104272,x104271),f5(f935(x104272,x104271))),x104274)))))),f330(f38(f935(x104272,x104271),x104273),x104274)) % 199.45/199.84 [10480]~P108(f330(f330(f332(f934(x104801,x104801)),f330(f330(f255(x104801,x104801),x104803),x104804)),f330(f330(f113(f935(f934(x104801,x104801),a923)),x104802),f310(x104801,f191(f935(f934(x104801,x104801),a923))))))+P108(f330(f330(f330(f330(f113(f935(x104801,f935(x104801,a923))),f330(f330(f7(x104801,f935(f934(x104801,x104801),a923),f935(x104801,a923)),f330(f330(f8(f935(x104801,f935(f935(f934(x104801,x104801),a923),a923)),f935(f935(f934(x104801,x104801),a923),f935(x104801,a923)),x104801),f7(x104801,f935(f934(x104801,x104801),a923),a923)),f330(f330(f8(f935(x104801,f934(x104801,x104801)),f935(x104801,f935(f935(f934(x104801,x104801),a923),a923)),x104801),f330(f8(f934(x104801,x104801),f935(f935(f934(x104801,x104801),a923),a923),x104801),f332(f934(x104801,x104801)))),f255(x104801,x104801)))),x104802)),a327),x104803),x104804)) % 199.45/199.84 [10490]P108(f330(f330(f332(f934(x104901,x104901)),f330(f330(f255(x104901,x104901),x104902),x104903)),f330(f330(f113(f935(f934(x104901,x104901),a923)),x104904),f310(x104901,f191(f935(f934(x104901,x104901),a923))))))+~P108(f330(f330(f330(f330(f113(f935(x104901,f935(x104901,a923))),f330(f330(f7(x104901,f935(f934(x104901,x104901),a923),f935(x104901,a923)),f330(f330(f8(f935(x104901,f935(f935(f934(x104901,x104901),a923),a923)),f935(f935(f934(x104901,x104901),a923),f935(x104901,a923)),x104901),f7(x104901,f935(f934(x104901,x104901),a923),a923)),f330(f330(f8(f935(x104901,f934(x104901,x104901)),f935(x104901,f935(f935(f934(x104901,x104901),a923),a923)),x104901),f330(f8(f934(x104901,x104901),f935(f935(f934(x104901,x104901),a923),a923),x104901),f332(f934(x104901,x104901)))),f255(x104901,x104901)))),x104904)),a327),x104902),x104903)) % 199.45/199.84 [10435]E(f330(f330(f154(f929(x104351)),f330(f330(f154(x104351),x104352),f330(f145(f929(x104351),f929(x104351),f137(x104351),f116(x104351)),f330(f330(f157(f929(x104351),f929(x104351)),f159(f929(x104351),x104351,f116(x104351),f330(f330(f8(f929(x104351),f935(f929(x104351),f929(x104351)),x104351),f16(f929(x104351),f929(x104351))),f330(f330(f7(x104351,f929(x104351),f929(x104351)),f154(x104351)),f116(x104351))))),x104353)))),f182(x104351,f330(f330(f154(f929(x104351)),x104354),f330(f145(f929(f929(x104351)),f929(f929(x104351)),f137(f929(x104351)),f116(f929(x104351))),f330(f330(f157(f929(x104351),f929(f929(x104351))),f159(f929(f929(x104351)),x104351,f116(f929(x104351)),f330(f16(f935(f929(x104351),f929(f929(x104351))),x104351),f330(f330(f7(f929(x104351),f929(f929(x104351)),f929(f929(x104351))),f154(f929(x104351))),f116(f929(x104351)))))),x104353))))),f182(x104351,f330(f330(f154(f929(x104351)),f330(f330(f154(x104351),x104352),x104354)),x104353)))+~P108(f330(f318(f929(f929(x104351)),f183(x104351)),f330(f330(f154(f929(x104351)),f330(f330(f154(x104351),x104352),x104354)),x104353))) % 199.45/199.84 [10479]~P108(f330(f62(x104792),f330(f265(x104792),x104794)))+P108(f330(f62(x104791),f330(f265(x104791),f330(f330(f8(f935(x104792,a923),a923,x104791),f89(x104792)),f330(f330(f7(x104791,f935(x104792,a923),f935(x104792,a923)),f330(f330(f8(f935(x104792,f935(a923,a923)),f935(f935(x104792,a923),f935(x104792,a923)),x104791),f18(x104792,a923,a923)),f330(f330(f8(f935(x104792,a923),f935(x104792,f935(a923,a923)),x104791),f330(f8(a923,f935(a923,a923),x104792),a328)),f330(f330(f7(x104791,f935(x104792,x104791),f935(x104792,a923)),f330(f330(f8(f935(x104791,a923),f935(f935(x104792,x104791),f935(x104792,a923)),x104791),f8(x104791,a923,x104792)),a327)),x104793)))),x104794))))) % 199.45/199.84 [9009]P25(x90091,x90092,x90093,x90094)+~P26(x90091,x90092,x90093,x90094,x90095) % 199.45/199.84 [5524]E(x55241,x55242)+~E(f172(x55243,x55241,x55244),f172(x55243,x55242,x55245)) % 199.45/199.84 [5525]E(x55251,x55252)+~E(f129(x55253,x55254,x55251),f129(x55253,x55255,x55252)) % 199.45/199.84 [5526]E(x55261,x55262)+~E(f129(x55263,x55261,x55264),f129(x55263,x55262,x55265)) % 199.45/199.84 [8340]~E(f330(x83403,x83404),x83405)+E(f76(x83401,x83402,x83403,x83404,x83405),x83403) % 199.45/199.84 [8867]~E(f76(x88674,x88675,x88671,x88672,x88673),x88671)+E(f330(x88671,x88672),x88673) % 199.45/199.84 [9486]~P26(x94862,x94861,x94864,x94863,x94865)+P26(x94861,x94862,f79(x94862,x94861,x94863,x94864),x94865,x94863) % 199.45/199.84 [9487]~P26(x94872,x94871,x94874,x94873,x94875)+P26(x94871,x94872,f94(x94872,x94871,x94873,x94874),x94875,x94873) % 199.45/199.84 [6329]P108(f330(f253(x63291,x63292,x63293),x63294))+~P108(f330(f330(x63293,x63295),x63294)) % 199.45/199.84 [6331]P108(f330(f252(x63311,x63312,x63313),x63314))+~P108(f330(f330(x63313,x63314),x63315)) % 199.45/199.84 [6806]~E(x68065,f2(a102))+E(f330(f202(x68061,x68062,x68063,x68064),x68065),f118(x68062)) % 199.45/199.84 [6807]~E(x68075,f2(a102))+E(f330(f200(x68071,x68072,x68073,x68074),x68075),f127(x68072)) % 199.45/199.84 [6943]~E(x69433,f2(a102))+E(f330(f276(x69431,x69432,x69433,x69434),x69435),f330(f255(x69431,x69432),x69435)) % 199.45/199.84 [7991]~P20(x79914,x79911,x79912,x79915)+E(f330(f74(x79911,x79911,x79911,f330(x79912,x79913)),f330(x79912,x79913)),f330(x79912,x79913)) % 199.45/199.84 [8381]~P16(x83815,x83811,x83812)+E(f330(f74(x83811,x83811,x83811,f330(x83812,x83813)),f330(x83812,x83814)),f330(f74(x83811,x83811,x83811,f330(x83812,x83814)),f330(x83812,x83813))) % 199.45/199.84 [8703]P108(f330(f330(f332(f934(x87031,x87031)),f330(f330(f255(x87031,x87031),x87032),x87033)),f324(x87031,x87034,x87035)))+~P108(f330(f330(f239(a928),f330(x87034,x87032)),f330(x87034,x87033))) % 199.45/199.84 [8795]~P108(f330(f330(f332(x87954),x87953),f302(x87954,x87951,x87952,x87955)))+P108(f330(f330(x87951,x87952),x87953)) % 199.45/199.84 [8796]~P108(f330(f330(f332(x87964),x87963),f293(x87964,x87961,x87962,x87965)))+P108(f330(f330(x87961,x87962),x87963)) % 199.45/199.84 [8797]~P108(f330(f330(f332(x87974),x87972),f302(x87974,x87971,x87975,x87973)))+P108(f330(f330(x87971,x87972),x87973)) % 199.45/199.84 [8798]~P108(f330(f330(f332(x87984),x87982),f293(x87984,x87981,x87985,x87983)))+P108(f330(f330(x87981,x87982),x87983)) % 199.45/199.84 [8879]~P26(x88791,x88793,x88795,x88792,x88794)+E(f330(f36(x88791),x88792),f330(f36(x88793),x88794)) % 199.45/199.84 [8927]~P26(x89271,x89272,x89273,x89274,x89275)+E(f330(f313(x89271,x89272,x89273),x89274),x89275) % 199.45/199.84 [8947]~P59(x89472,x89471,x89475,x89473,x89474)+E(f330(f313(x89471,x89472,x89473),x89474),f245(f935(x89472,a923))) % 199.45/199.84 [9397]~P36(x93971,x93972,x93973,x93974,x93975)+P36(x93971,x93972,x93973,f330(f171(x93971),x93974),f330(f171(x93972),x93975)) % 199.45/199.84 [9399]~P36(x93991,x93992,x93993,f330(f171(x93991),x93994),x93995)+P36(x93991,x93992,x93993,x93994,f330(f171(x93992),x93995)) % 199.45/199.84 [9400]~P36(x94001,x94002,x94003,x94004,f330(f171(x94002),x94005))+P36(x94001,x94002,x94003,f330(f171(x94001),x94004),x94005) % 199.45/199.84 [9406]P36(x94061,x94062,x94063,x94064,x94065)+~P36(x94061,x94062,x94063,f330(f171(x94061),x94064),f330(f171(x94062),x94065)) % 199.45/199.84 [9805]P108(f330(f330(f332(f934(f929(x98051),f929(x98051))),f330(f330(f255(f929(x98051),f929(x98051)),f330(f330(f154(x98051),x98052),x98053)),f330(f330(f154(x98051),x98052),x98054))),f160(x98051,x98055)))+~P108(f330(f330(f332(f934(f929(x98051),f929(x98051))),f330(f330(f255(f929(x98051),f929(x98051)),x98053),x98054)),f160(x98051,x98055))) % 199.45/199.84 [9806]P108(f330(f330(f332(f934(f929(x98061),f929(x98061))),f330(f330(f255(f929(x98061),f929(x98061)),f330(f330(f137(x98061),x98062),x98063)),f330(f330(f137(x98061),x98062),x98064))),f150(x98061,x98065)))+~P108(f330(f330(f332(f934(f929(x98061),f929(x98061))),f330(f330(f255(f929(x98061),f929(x98061)),x98063),x98064)),f150(x98061,x98065))) % 199.45/199.84 [10002]E(f330(f330(f154(x100021),f663(x100022,x100023,x100024,x100025,x100021)),f666(x100022,x100023,x100024,x100025,x100021)),x100025)+~P108(f330(f330(f332(f934(f929(x100021),f929(x100021))),f330(f330(f255(f929(x100021),f929(x100021)),x100025),f330(f330(f154(x100021),x100024),x100023))),f161(x100021,x100022))) % 199.45/199.84 [10023]E(f330(f330(f154(x100231),f664(x100232,x100233,x100234,x100235,x100231)),f665(x100232,x100233,x100234,x100235,x100231)),x100233)+~P108(f330(f330(f332(f934(f929(x100231),f929(x100231))),f330(f330(f255(f929(x100231),f929(x100231)),f330(f330(f154(x100231),x100235),x100234)),x100233)),f161(x100231,x100232))) % 199.45/199.84 [10169]~P108(f330(f330(f332(f934(f929(x101691),f929(x101691))),f330(f330(f255(f929(x101691),f929(x101691)),f330(f330(f154(x101691),x101695),x101692)),x101694)),f161(x101691,x101693)))+P108(f330(f330(f332(f934(f929(x101691),f929(x101691))),f330(f330(f255(f929(x101691),f929(x101691)),x101692),f665(x101693,x101694,x101692,x101695,x101691))),f161(x101691,x101693))) % 199.45/199.84 [10241]~P108(f330(f330(f332(f934(f929(x102411),f929(x102411))),f330(f330(f255(f929(x102411),f929(x102411)),x102415),f330(f330(f154(x102411),x102414),x102413))),f161(x102411,x102412)))+P108(f330(f330(f332(f934(f929(x102411),f929(x102411))),f330(f330(f255(f929(x102411),f929(x102411)),f666(x102412,x102413,x102414,x102415,x102411)),x102413)),f161(x102411,x102412))) % 199.45/199.84 [10429]P108(f330(f330(f332(f934(x104291,x104291)),f330(f330(f255(x104291,x104291),f330(x104292,f330(f330(f82(a928),x104293),x104294))),f330(x104292,x104293))),f310(x104291,x104295)))+~P108(f330(f330(f332(f934(x104291,x104291)),f330(f330(f255(x104291,x104291),f330(x104292,f330(a115,f618(x104294,x104293,x104295,x104292,x104291)))),f330(x104292,f618(x104294,x104293,x104295,x104292,x104291)))),f310(x104291,x104295))) % 199.45/199.84 [5492]E(x54921,x54922)+~E(f330(f330(f154(x54923),x54924),x54921),f330(f330(f154(x54923),x54925),x54922)) % 199.45/199.84 [5493]E(x54931,x54932)+~E(f330(f330(f154(x54933),x54931),x54934),f330(f330(f154(x54933),x54932),x54935)) % 199.45/199.84 [5541]P108(f330(x55411,x55412))+~E(f330(f139(x55413,x55411),x55414),f330(f330(f154(x55413),x55412),x55415)) % 199.45/199.84 [5542]P108(f330(x55421,x55422))+~E(f330(f330(f154(x55423),x55422),x55424),f330(f139(x55423,x55421),x55425)) % 199.45/199.84 [5700]~E(f330(f330(f141(x57001),x57003),x57002),f330(f330(f154(x57001),x57004),x57005))+E(f330(f330(f167(x57001),x57002),x57003),x57004) % 199.45/199.84 [5839]~P14(x58394,x58395,x58391)+E(f330(f330(x58391,x58392),f330(f330(x58391,x58392),x58393)),f330(f330(x58391,x58392),x58393)) % 199.45/199.84 [6388]~E(x63884,f2(a102))+E(f330(f330(f120(x63881,x63882,x63883),x63884),x63885),f330(f330(f255(f929(x63882),x63881),f116(x63882)),x63885)) % 199.45/199.84 [6458]~P110(x64582)+~E(f330(f330(f151(x64581,x64582,x64583),x64584),x64585),f116(x64581)) % 199.45/199.84 [6845]E(x68451,x68452)+~E(f330(f330(f137(x68453),x68454),f330(f330(f154(x68453),x68451),f116(x68453))),f330(f330(f137(x68453),x68455),f330(f330(f154(x68453),x68452),f116(x68453)))) % 199.45/199.84 [6846]E(x68461,x68462)+~E(f330(f330(f137(x68463),x68461),f330(f330(f154(x68463),x68464),f116(x68463))),f330(f330(f137(x68463),x68462),f330(f330(f154(x68463),x68465),f116(x68463)))) % 199.45/199.84 [7159]E(f330(f330(f312(x71591),f330(x71592,x71593)),f330(f313(x71594,x71591,x71592),x71595)),f330(f313(x71594,x71591,x71592),x71595))+~P108(f330(f330(f332(x71594),x71593),x71595)) % 199.45/199.84 [7166]~P108(f330(x71664,f330(x71663,x71665)))+P108(f330(f330(f314(x71661,x71662,x71663),x71664),x71665)) % 199.45/199.84 [7169]~P108(f330(f330(x71693,x71695),x71694))+P108(f330(f330(f246(x71691,x71692,x71693),x71694),x71695)) % 199.45/199.84 [7263]~E(f330(f313(x72631,x72632,x72633),x72634),x72635)+E(f330(f313(f935(x72631,a923),f935(x72632,a923),f313(x72631,x72632,x72633)),f330(f311(x72631),x72634)),f330(f311(x72632),x72635)) % 199.45/199.84 [7292]E(f330(f274(x72921,x72922,x72923,x72924),x72925),f330(x72924,x72925))+~P108(f330(f330(f332(x72921),x72925),x72923)) % 199.45/199.84 [7605]P25(x76051,x76052,x76053,x76054)+~P25(x76051,x76052,x76053,f330(f330(f312(x76051),x76055),x76054)) % 199.45/199.84 [7668]P108(f330(x76681,x76682))+~P108(f330(f330(f95(x76683,x76684,x76681),x76685),x76682)) % 199.45/199.84 [7709]~P108(f330(f330(f332(x77094),x77093),x77095))+P108(f330(f330(f332(x77091),f330(x77092,x77093)),f330(f313(x77094,x77091,x77092),x77095))) % 199.45/199.84 [7730]~P110(x77302)+E(f153(x77301,x77302,x77303,f330(f139(x77301,x77304),x77305)),f330(f139(x77301,x77304),f153(x77301,x77302,x77303,x77305))) % 199.45/199.84 [7761]P108(f330(x77611,f330(x77612,x77613)))+~P108(f330(f330(f314(x77614,x77615,x77612),x77611),x77613)) % 199.45/199.84 [7764]P108(f330(f330(x77641,x77642),x77643))+~P108(f330(f330(f246(x77644,x77645,x77641),x77643),x77642)) % 199.45/199.84 [7765]P108(f330(f330(x77651,x77652),x77653))+~P108(f330(f330(f95(x77654,x77651,x77655),x77652),x77653)) % 199.45/199.84 [7828]~P108(f330(f330(f332(x78283),f330(x78284,x78282)),x78285))+P108(f330(f330(f332(x78281),x78282),f330(f314(x78281,x78283,x78284),x78285))) % 199.45/199.84 [8222]~P108(f330(f330(f332(x82225),x82223),f330(f314(x82225,x82221,x82222),x82224)))+P108(f330(f330(f332(x82221),f330(x82222,x82223)),x82224)) % 199.45/199.84 [8518]~P16(x85182,x85181,x85183)+E(f330(f145(x85181,x85182,f330(f7(x85182,x85181,x85181),x85183),x85184),f155(x85182,x85185)),f330(f330(f65(x85182,x85181,x85183),x85184),f330(f175(x85182),x85185))) % 199.45/199.84 [8540]E(f330(x85401,f356(x85402,x85401,x85403,x85404)),x85404)+~P108(f330(f330(f332(x85405),x85404),f330(f313(x85403,x85405,x85401),x85402))) % 199.45/199.84 [8541]E(f330(x85411,f436(x85412,x85411,x85413,x85414)),x85414)+~P108(f330(f330(f332(x85415),x85414),f330(f313(x85413,x85415,x85411),x85412))) % 199.45/199.84 [8842]~E(x88422,f330(f330(f154(x88421),x88424),x88425))+P108(f330(f330(f332(f934(f929(x88421),f929(x88421))),f330(f330(f255(f929(x88421),f929(x88421)),f116(x88421)),x88422)),f150(x88421,x88423))) % 199.45/199.84 [8888]E(f330(x88881,f330(f94(x88882,x88883,x88884,x88881),x88885)),x88885)+~P108(f330(f330(f332(x88883),x88885),f330(f313(x88882,x88883,x88881),x88884))) % 199.45/199.84 [8891]P25(x88911,x88912,f94(x88912,x88911,x88913,x88914),x88915)+~P108(f330(f330(f238(f935(x88911,a923)),x88915),f330(f313(x88912,x88911,x88914),x88913))) % 199.45/199.84 [8898]~P36(x88981,x88983,x88985,x88982,x88984)+E(f330(f192(f929(x88981)),x88982),f330(f192(f929(x88983)),x88984)) % 199.45/199.84 [8909]P108(f330(f330(f238(f935(x89091,a923)),f330(f330(f41(x89092,f935(x89091,a923)),x89093),x89094)),f330(x89094,x89095)))+~P108(f330(f330(f332(x89092),x89095),x89093)) % 199.45/199.84 [8963]~P59(x89631,x89632,x89633,x89635,x89634)+E(f330(f313(x89631,x89632,x89633),f245(f935(x89631,a923))),x89634) % 199.45/199.84 [9191]E(f330(f139(x91911,x91912),f752(x91913,x91914,x91915,x91912,x91911)),x91913)+~E(f330(f139(x91911,x91912),x91915),f330(f330(f154(x91911),x91914),x91913)) % 199.45/199.84 [9192]E(f330(f139(x91921,x91922),f755(x91923,x91922,x91924,x91925,x91921)),x91924)+~E(f330(f330(f154(x91921),x91925),x91924),f330(f139(x91921,x91922),x91923)) % 199.45/199.84 [9285]E(f330(f192(f929(x92851)),x92852),x92853)+~P108(f330(f330(f332(f934(f929(x92851),f929(x92851))),f330(f330(f255(f929(x92851),f929(x92851)),x92854),x92852)),f330(f146(x92851,x92855),x92853))) % 199.45/199.84 [9286]E(f330(f192(f929(x92861)),x92862),x92863)+~P108(f330(f330(f332(f934(f929(x92861),f929(x92861))),f330(f330(f255(f929(x92861),f929(x92861)),x92862),x92864)),f330(f146(x92861,x92865),x92863))) % 199.45/199.84 [9355]P108(f330(f330(f332(x93551),f356(x93552,x93553,x93551,x93554)),x93552))+~P108(f330(f330(f332(x93555),x93554),f330(f313(x93551,x93555,x93553),x93552))) % 199.45/199.84 [9356]P108(f330(f330(f332(x93561),f436(x93562,x93563,x93561,x93564)),x93562))+~P108(f330(f330(f332(x93565),x93564),f330(f313(x93561,x93565,x93563),x93562))) % 199.45/199.84 [9513]E(f330(f313(x95131,x95132,x95133),f371(x95134,x95133,x95131,x95135,x95132)),x95135)+~P108(f330(f330(f238(f935(x95132,a923)),x95135),f330(f313(x95131,x95132,x95133),x95134))) % 199.45/199.84 [9823]P108(f330(f330(f332(f934(f929(x98231),f929(x98231))),f330(f330(f255(f929(x98231),f929(x98231)),f330(f330(f154(x98231),x98232),x98233)),f330(f330(f154(x98231),x98232),x98234))),f310(f929(x98231),f160(x98231,x98235))))+~P108(f330(f330(f332(f934(f929(x98231),f929(x98231))),f330(f330(f255(f929(x98231),f929(x98231)),x98233),x98234)),f310(f929(x98231),f160(x98231,x98235)))) % 199.45/199.84 [9854]~E(f330(x98543,f704(x98545,x98544,x98543,x98542,x98541)),f330(x98545,f704(x98545,x98544,x98543,x98542,x98541)))+E(f330(f330(f157(x98541,x98542),x98543),x98544),f330(f330(f157(x98541,x98542),x98545),x98544)) % 199.45/199.84 [9929]~E(f330(f139(x99291,x99295),x99294),f330(f330(f154(x99291),x99293),x99292))+E(f330(f330(f137(x99291),f753(x99292,x99293,x99294,x99295,x99291)),f330(f330(f154(x99291),x99293),f752(x99292,x99293,x99294,x99295,x99291))),x99294) % 199.45/199.84 [9930]~E(f330(f330(f154(x99301),x99305),x99304),f330(f139(x99301,x99303),x99302))+E(f330(f330(f137(x99301),f756(x99302,x99303,x99304,x99305,x99301)),f330(f330(f154(x99301),x99305),f755(x99302,x99303,x99304,x99305,x99301))),x99302) % 199.45/199.84 [9934]E(f330(f330(f157(x99341,x99342),x99343),x99344),f330(f330(f157(x99341,x99342),x99345),x99344))+P108(f330(f330(f332(x99341),f704(x99343,x99344,x99345,x99342,x99341)),f330(f175(x99341),x99344))) % 199.45/199.84 [9964]~P108(f330(f330(f332(x99645),x99644),f330(f288(x99641,x99645,x99643),x99642)))+P108(f330(f330(f332(x99641),f365(x99642,x99643,x99641,x99644,x99645)),x99642)) % 199.45/199.84 [9965]~P108(f330(f330(f332(x99655),x99654),f330(f288(x99651,x99655,x99653),x99652)))+P108(f330(f330(f332(x99651),f432(x99652,x99653,x99651,x99654,x99655)),x99652)) % 199.45/199.84 [9996]~P108(f330(f330(f238(f935(x99965,a923)),x99964),f330(f313(x99961,x99965,x99963),x99962)))+P108(f330(f330(f238(f935(x99961,a923)),f371(x99962,x99963,x99961,x99964,x99965)),x99962)) % 199.45/199.84 [10430]E(x104301,f2(a102))+E(f227(f934(f929(x104302),x104303),f934(x104302,x104303),f330(f330(f255(f929(x104302),x104303),f116(x104302)),x104304),f330(f260(x104302,x104303,f934(f929(x104302),x104303)),f330(f330(f7(x104302,f935(x104303,f934(f929(x104302),x104303)),f935(x104303,f934(f929(x104302),x104303))),f330(f330(f8(f935(f934(f929(x104302),x104303),f934(f929(x104302),x104303)),f935(f935(x104303,f934(f929(x104302),x104303)),f935(x104303,f934(f929(x104302),x104303))),x104302),f8(f934(f929(x104302),x104303),f934(f929(x104302),x104303),x104303)),f330(f330(f8(f935(f929(x104302),f935(x104303,f934(f929(x104302),x104303))),f935(f934(f929(x104302),x104303),f934(f929(x104302),x104303)),x104302),f260(f929(x104302),x104303,f934(f929(x104302),x104303))),f330(f330(f8(f935(f929(x104302),f929(x104302)),f935(f929(x104302),f935(x104303,f934(f929(x104302),x104303))),x104302),f330(f8(f929(x104302),f935(x104303,f934(f929(x104302),x104303)),f929(x104302)),f255(f929(x104302),x104303))),f154(x104302))))),f330(f120(x104303,x104302,x104305),f330(f330(f23(a102),x104301),f80(a102))))),f330(x104305,x104304)),f330(f330(f120(x104303,x104302,x104305),x104301),x104304)) % 199.45/199.84 [6267]E(x62671,x62672)+~E(f330(f259(x62673,x62674),f330(f330(f255(x62673,x62674),x62675),x62671)),x62672) % 199.45/199.84 [6268]E(x62681,x62682)+~E(f330(f254(x62683,x62684),f330(f330(f255(x62683,x62684),x62681),x62685)),x62682) % 199.45/199.84 [6531]~E(x65313,f330(f330(f137(x65311),x65314),f330(f330(f154(x65311),x65312),x65315)))+P108(f330(f330(f332(x65311),x65312),f330(f175(x65311),x65313))) % 199.45/199.84 [6930]E(f330(f313(x69301,x69302,f330(f16(x69302,x69301),x69303)),x69304),f330(f330(f312(x69302),x69303),f191(f935(x69302,a923))))+~P108(f330(f330(f332(x69301),x69305),x69304)) % 199.45/199.84 [6999]E(f330(f330(f113(f935(x69991,a923)),f330(f175(x69991),x69992)),f330(f175(x69991),x69993)),f330(f175(x69991),x69994))+~E(f169(x69991,x69995,x69994),f330(f330(f255(f929(x69991),f929(x69991)),x69992),x69993)) % 199.45/199.84 [7099]~P110(x70992)+E(f330(f192(f929(x70991)),f330(f330(f151(x70991,x70992,x70993),x70994),x70995)),f330(a115,f330(f192(f929(x70991)),x70995))) % 199.45/199.84 [7113]~P110(x71132)+E(f330(f175(x71131),f330(f330(f151(x71131,x71132,x71133),x71134),x71135)),f330(f330(f312(x71131),x71134),f330(f175(x71131),x71135))) % 199.45/199.84 [7386]~P114(x73861)+E(f330(f330(f83(x73861),f330(f330(f83(x73861),x73862),x73863)),f330(f330(f83(x73861),x73864),x73865)),f330(f330(f83(x73861),f330(f330(f83(x73861),x73862),x73864)),f330(f330(f83(x73861),x73863),x73865))) % 199.45/199.84 [7387]~P114(x73871)+E(f330(f330(f82(x73871),f330(f330(f82(x73871),x73872),x73873)),f330(f330(f82(x73871),x73874),x73875)),f330(f330(f82(x73871),f330(f330(f82(x73871),x73872),x73874)),f330(f330(f82(x73871),x73873),x73875))) % 199.45/199.84 [7388]~P66(x73881)+E(f330(f330(f294(x73881),f330(f330(f83(x73881),x73882),x73883)),f330(f330(f83(x73881),x73884),x73885)),f330(f330(f83(x73881),f330(f330(f294(x73881),x73882),x73884)),f330(f330(f294(x73881),x73883),x73885))) % 199.45/199.84 [7402]~P110(x74021)+E(f309(x74021,f330(f330(f237(x74021),x74022),x74023),f330(f330(f236(x74021),x74024),x74025)),f330(f330(f104(f935(x74021,a923)),f309(x74021,x74022,x74024)),f309(x74021,x74023,x74025))) % 199.45/199.84 [7403]~P110(x74031)+E(f308(x74031,f330(f330(f237(x74031),x74032),x74033),f330(f330(f236(x74031),x74034),x74035)),f330(f330(f104(f935(x74031,a923)),f308(x74031,x74032,x74034)),f308(x74031,x74033,x74035))) % 199.45/199.84 [7404]~P110(x74041)+E(f306(x74041,f330(f330(f237(x74041),x74042),x74043),f330(f330(f236(x74041),x74044),x74045)),f330(f330(f104(f935(x74041,a923)),f306(x74041,x74042,x74044)),f306(x74041,x74043,x74045))) % 199.45/199.84 [7405]~P110(x74051)+E(f330(f330(f104(f935(x74051,a923)),f330(f305(x74051,x74052),x74053)),f330(f305(x74051,x74054),x74055)),f330(f305(x74051,f330(f330(f237(x74051),x74052),x74054)),f330(f330(f236(x74051),x74053),x74055))) % 199.45/199.84 [7527]~P108(f330(x75271,f363(x75273,x75272,x75271)))+P108(f330(x75271,f330(f330(f255(x75272,x75273),x75274),x75275))) % 199.45/199.84 [7635]~E(x76352,f330(x76354,x76355))+P108(f330(f330(f332(x76351),x76352),f330(f313(x76353,x76351,x76354),f245(f935(x76353,a923))))) % 199.45/199.84 [7706]~P14(x77063,x77062,x77064)+P14(x77061,x77062,f330(f330(f8(x77063,f935(x77062,x77062),x77061),x77064),x77065)) % 199.45/199.84 [7707]~P16(x77073,x77072,x77074)+P16(x77071,x77072,f330(f330(f8(x77073,f935(x77072,x77072),x77071),x77074),x77075)) % 199.45/199.84 [7845]~P25(x78451,x78452,x78453,x78454)+P25(x78451,x78452,x78453,f330(f330(f23(f935(x78451,a923)),x78454),x78455)) % 199.45/199.84 [8000]~P108(f330(f330(x80003,x80004),x80005))+P108(f330(f330(f260(x80001,x80002,a923),x80003),f330(f330(f255(x80001,x80002),x80004),x80005))) % 199.45/199.84 [8112]~P108(f330(x81122,x81124))+~E(f330(f330(f141(x81121),f330(f192(f929(x81121)),f180(x81121,x81122,x81123))),x81123),f330(f330(f154(x81121),x81124),x81125)) % 199.45/199.84 [8132]P25(x81321,x81322,x81323,x81324)+~P25(x81321,x81322,x81323,f330(f330(f113(f935(x81321,a923)),x81325),x81324)) % 199.45/199.84 [8133]P25(x81331,x81332,x81333,x81334)+~P25(x81331,x81332,x81333,f330(f330(f113(f935(x81331,a923)),x81334),x81335)) % 199.45/199.84 [8180]~P110(x81802)+E(f330(f330(f151(x81801,x81802,x81803),x81804),f153(x81801,x81802,x81803,x81805)),f153(x81801,x81802,x81803,f330(f330(f154(x81801),x81804),x81805))) % 199.45/199.84 [8495]~P14(x84952,x84951,x84953)+E(f330(f145(x84951,x84952,f330(f7(x84952,x84951,x84951),x84953),x84954),x84955),f330(f330(f65(x84952,x84951,x84953),x84954),f330(f175(x84952),x84955))) % 199.45/199.84 [8523]~E(f330(f330(f141(x85231),f330(f192(f929(x85231)),f180(x85231,x85232,x85233))),x85233),f330(f330(f154(x85231),x85234),x85235))+E(f330(f330(f137(x85231),f180(x85231,x85232,x85233)),f330(f330(f154(x85231),x85234),x85235)),x85233) % 199.45/199.84 [8551]P108(f330(f330(x85511,x85512),x85513))+~P108(f330(f330(f260(x85514,x85515,a923),x85511),f330(f330(f255(x85514,x85515),x85512),x85513))) % 199.45/199.84 [9026]P108(f330(f330(f238(f935(x90261,a923)),f330(f313(x90262,x90261,x90263),x90264)),f330(f313(x90262,x90261,x90263),x90265)))+~P108(f330(f330(f238(f935(x90262,a923)),x90264),x90265)) % 199.45/199.84 [9027]P108(f330(f330(f238(f935(x90271,a923)),f330(f314(x90271,x90272,x90273),x90274)),f330(f314(x90271,x90272,x90273),x90275)))+~P108(f330(f330(f238(f935(x90272,a923)),x90274),x90275)) % 199.45/199.84 [9106]E(x91061,f2(a102))+E(f330(f330(f262(x91062,x91063,x91062,f934(x91063,x91062)),f330(x91064,x91065)),f276(x91063,x91062,f330(f330(f23(a102),x91061),f80(a102)),x91064)),f330(f276(x91063,x91062,x91061,x91064),x91065)) % 199.45/199.84 [9218]P108(f330(f330(f258(x92181,x92182,a923,x92183),x92184),x92185))+~P108(f330(x92183,f330(f330(f255(x92181,x92182),x92184),x92185))) % 199.45/199.84 [9492]~P108(f330(f330(f258(x94922,x94923,a923,x94921),x94924),x94925))+P108(f330(x94921,f330(f330(f255(x94922,x94923),x94924),x94925))) % 199.45/199.84 [9674]~P108(f330(f330(f332(x96742),x96745),f330(f313(x96741,x96742,x96744),x96743)))+P108(f330(f330(f332(x96741),f330(f94(x96741,x96742,x96743,x96744),x96745)),x96743)) % 199.45/199.84 [9765]~P108(f330(f62(x97653),f330(f313(x97652,x97653,x97655),f245(f935(x97652,a923)))))+P108(f330(f62(x97651),f330(f313(x97652,x97651,f330(f330(f8(x97653,x97651,x97652),x97654),x97655)),f245(f935(x97652,a923))))) % 199.45/199.84 [9790]P108(f330(f330(f238(f935(f935(x97901,a923),a923)),f330(f313(f935(x97902,a923),f935(x97901,a923),f313(x97902,x97901,x97903)),f330(f311(x97902),x97904))),f330(f311(x97901),x97905)))+~P108(f330(f330(f238(f935(x97901,a923)),f330(f313(x97902,x97901,x97903),x97904)),x97905)) % 199.45/199.84 [9862]E(x98621,x98622)+~P108(f330(f67(x98623,x98624,x98625,x98621,f191(f935(x98623,a923))),x98622)) % 199.45/199.84 [9878]E(f330(f330(f255(x98781,x98782),f559(x98783,x98784,x98785,x98782,x98781)),f560(x98783,x98784,x98785,x98782,x98781)),x98785)+~P108(f330(f330(f332(f934(x98781,x98782)),x98785),f330(f330(f257(x98781,x98782),x98784),x98783))) % 199.45/199.84 [9970]P108(f330(f330(f332(x99701),f559(x99702,x99703,x99704,x99705,x99701)),x99703))+~P108(f330(f330(f332(f934(x99701,x99705)),x99704),f330(f330(f257(x99701,x99705),x99703),x99702))) % 199.45/199.84 [9980]P108(f330(f330(f332(x99801),f445(x99802,x99803,x99804,x99805,x99801)),x99805))+P108(f330(f330(f238(f935(x99804,a923)),f330(f313(x99801,x99804,x99803),x99805)),x99802)) % 199.45/199.84 [10071]P24(x100715,x100714,f330(f330(f312(f927(x100715)),f330(f330(f330(f93(x100715),x100711),x100713),x100712)),f191(f935(f927(x100715),a923))))+P108(f330(f330(x100711,f921(x100712,x100713,x100714,x100715,x100711)),f349(x100712,x100713,x100714,x100715,x100711))) % 199.45/199.84 [10127]P108(f330(f330(f332(x101271),f560(x101272,x101273,x101274,x101271,x101275)),f330(x101272,f559(x101272,x101273,x101274,x101271,x101275))))+~P108(f330(f330(f332(f934(x101275,x101271)),x101274),f330(f330(f257(x101275,x101271),x101273),x101272))) % 199.45/199.84 [10147]P108(f330(f330(f332(f934(x101471,x101471)),f330(f330(f255(x101471,x101471),x101472),f640(x101473,x101474,x101475,x101472,x101471))),x101473))+~P108(f330(f330(f332(f934(x101471,x101471)),f330(f330(f255(x101471,x101471),x101472),x101475)),f330(f330(f186(f934(x101471,x101471),a923),f330(a115,x101474)),x101473))) % 199.45/199.84 [10148]P108(f330(f330(f332(f934(x101481,x101481)),f330(f330(f255(x101481,x101481),x101482),f642(x101483,x101484,x101485,x101482,x101481))),x101483))+~P108(f330(f330(f332(f934(x101481,x101481)),f330(f330(f255(x101481,x101481),x101482),x101485)),f330(f330(f186(f934(x101481,x101481),a923),f330(a115,x101484)),x101483))) % 199.45/199.84 [10165]~P108(f330(f330(f332(f934(f929(x101651),f929(x101651))),f330(f330(f255(f929(x101651),f929(x101651)),f330(f330(f154(x101651),x101652),x101655)),x101654)),f161(x101651,x101653)))+P108(f330(f330(f332(f934(x101651,x101651)),f330(f330(f255(x101651,x101651),x101652),f664(x101653,x101654,x101655,x101652,x101651))),x101653)) % 199.45/199.84 [10167]~P24(x101671,x101672,f330(f330(f312(f927(x101671)),f330(f330(f330(f93(x101671),f95(x101671,x101673,x101674)),x101675),x101673)),f191(f935(f927(x101671),a923))))+P24(x101671,x101672,f330(f330(f312(f927(x101671)),f330(f330(f330(f93(x101671),x101673),f30(x101674,x101675)),f95(x101671,x101673,f330(f74(a923,a923,a924,a325),x101674)))),f191(f935(f927(x101671),a923)))) % 199.45/199.84 [10188]~P108(f330(f330(f332(x101881),f330(x101883,f445(x101885,x101883,x101881,x101884,x101882))),x101885))+P108(f330(f330(f238(f935(x101881,a923)),f330(f313(x101882,x101881,x101883),x101884)),x101885)) % 199.45/199.84 [10456]P24(x104561,x104562,f330(f330(f312(f927(x104561)),f330(f330(f330(f93(x104561),x104563),x104564),x104565)),f191(f935(f927(x104561),a923))))+~P24(x104561,x104562,f330(f330(f312(f927(x104561)),f330(f330(f330(f93(x104561),f330(f16(f935(a924,a923),x104561),f330(f330(f7(a924,a924,a923),a327),f349(x104565,x104564,x104562,x104561,x104563)))),x104564),f330(f16(f935(a924,a923),x104561),f330(x104565,f921(x104565,x104564,x104562,x104561,x104563))))),f191(f935(f927(x104561),a923)))) % 199.45/199.84 [6609]P108(f330(x66092,x66094))+E(f180(x66091,x66092,f330(f330(f137(x66091),x66093),f330(f330(f154(x66091),x66094),x66095))),f180(x66091,x66092,x66093)) % 199.45/199.84 [6658]~P2(x66582)+E(f330(f330(f330(f23(f935(x66581,x66582)),x66583),x66584),x66585),f330(f330(f23(x66582),f330(x66583,x66585)),f330(x66584,x66585))) % 199.45/199.84 [6660]~P99(x66602)+E(f330(f330(f330(f104(f935(x66601,x66602)),x66603),x66604),x66605),f330(f330(f104(x66602),f330(x66603,x66605)),f330(x66604,x66605))) % 199.45/199.84 [6662]~P99(x66622)+E(f330(f330(f330(f113(f935(x66621,x66622)),x66623),x66624),x66625),f330(f330(f113(x66622),f330(x66623,x66625)),f330(x66624,x66625))) % 199.45/199.84 [6680]E(x66801,x66802)+E(f330(f330(f167(x66803),f330(f330(f162(x66803,x66804),x66801),x66805)),x66802),f330(f330(f167(x66803),x66804),x66802)) % 199.45/199.84 [6948]~E(x69484,f191(f935(x69483,a923)))+E(f330(f330(f23(f935(x69481,a923)),x69482),f330(f330(f40(x69483,f935(x69481,a923)),x69484),x69485)),x69482) % 199.45/199.84 [6949]~E(x69494,f191(f935(x69493,a923)))+E(f330(f330(f104(f935(x69491,a923)),x69492),f330(f330(f41(x69493,f935(x69491,a923)),x69494),x69495)),x69492) % 199.45/199.84 [6950]~E(x69504,f191(f935(x69503,a923)))+E(f330(f330(f113(f935(x69501,a923)),x69502),f330(f330(f40(x69503,f935(x69501,a923)),x69504),x69505)),x69502) % 199.45/199.84 [6965]~E(x69654,f191(f935(x69653,a923)))+E(f330(f330(f312(x69651),x69652),f330(f330(f40(x69653,f935(x69651,a923)),x69654),x69655)),f330(f330(f312(x69651),x69652),f191(f935(x69651,a923)))) % 199.45/199.84 [7752]E(f330(f330(f167(x77521),f330(f330(f157(x77522,x77521),x77523),x77524)),x77525),f330(x77523,f330(f330(f167(x77522),x77524),x77525)))+~P108(f330(f330(f239(a928),x77525),f330(f192(f929(x77522)),x77524))) % 199.45/199.84 [7816]E(f330(f330(f104(f935(x78161,a923)),f330(x78162,x78163)),f330(f330(f41(x78164,f935(x78161,a923)),x78165),x78162)),f330(f330(f41(x78164,f935(x78161,a923)),x78165),x78162))+~P108(f330(f330(f332(x78164),x78163),x78165)) % 199.45/199.84 [7817]E(f330(f330(f113(f935(x78171,a923)),f330(x78172,x78173)),f330(f330(f40(x78174,f935(x78171,a923)),x78175),x78172)),f330(f330(f40(x78174,f935(x78171,a923)),x78175),x78172))+~P108(f330(f330(f332(x78174),x78173),x78175)) % 199.45/199.84 [8418]~E(x84183,f191(f935(x84181,a923)))+E(f330(f330(f40(x84181,f935(x84182,a923)),x84183),f330(f330(f8(f935(x84182,a923),f935(x84182,a923),x84181),f330(f312(x84182),x84184)),x84185)),f191(f935(x84182,a923))) % 199.45/199.84 [8423]~P108(f330(f330(f332(x84234),x84233),x84235))+P108(f330(f330(f238(f935(x84231,a923)),f330(x84232,x84233)),f330(f330(f40(x84234,f935(x84231,a923)),x84235),x84232))) % 199.45/199.84 [8550]~E(f330(x85504,x85502),x85505)+P108(f330(f330(f332(x85501),x85502),f330(f314(x85501,x85503,x85504),f330(f330(f312(x85503),x85505),f191(f935(x85503,a923)))))) % 199.45/199.84 [8597]~P57(x85971,x85972,f330(f289(x85972,x85971),x85973))+E(f330(f330(f104(f935(x85971,a923)),f330(f288(x85972,x85971,x85973),x85974)),f330(f288(x85972,x85971,x85973),x85975)),f330(f288(x85972,x85971,x85973),f330(f330(f104(f935(x85972,a923)),x85974),x85975))) % 199.45/199.84 [8672]E(x86721,f2(a102))+E(f330(f121(x86722,x86723,f330(x86724,f330(f330(f23(a102),x86721),f80(a102)))),f330(f330(f7(x86722,a102,f930(x86723)),x86725),x86721)),f330(f202(x86722,x86723,x86724,x86725),x86721)) % 199.45/199.84 [8710]E(x87101,f191(f935(x87102,a923)))+E(f330(f330(f40(x87102,f935(x87103,a923)),x87101),f330(f330(f8(f935(x87103,a923),f935(x87103,a923),x87102),f330(f312(x87103),x87104)),x87105)),f330(f330(f312(x87103),x87104),f330(f330(f40(x87102,f935(x87103,a923)),x87101),x87105))) % 199.45/199.84 [8760]~P25(x87602,x87601,x87603,f245(f935(x87602,a923)))+E(f330(f330(f23(f935(x87601,a923)),f330(f313(x87602,x87601,x87603),x87604)),f330(f313(x87602,x87601,x87603),x87605)),f330(f313(x87602,x87601,x87603),f330(f330(f23(f935(x87602,a923)),x87604),x87605))) % 199.45/199.84 [8761]~P25(x87612,x87611,x87613,f245(f935(x87612,a923)))+E(f330(f330(f104(f935(x87611,a923)),f330(f313(x87612,x87611,x87613),x87614)),f330(f313(x87612,x87611,x87613),x87615)),f330(f313(x87612,x87611,x87613),f330(f330(f104(f935(x87612,a923)),x87614),x87615))) % 199.45/199.84 [8829]~P108(f330(f330(f68(x88291,x88292,x88295),x88293),x88294))+P108(f330(f330(f332(f934(x88291,x88292)),f330(f330(f255(x88291,x88292),x88293),x88294)),x88295)) % 199.45/199.84 [8861]P108(f330(f330(f332(x88611),x88612),f330(f287(x88613,x88611),x88614)))+~P108(f330(f330(f332(f934(x88613,x88611)),f330(f330(f255(x88613,x88611),x88615),x88612)),x88614)) % 199.45/199.84 [8863]P108(f330(f330(f332(x88631),x88632),f330(f267(x88631,x88633),x88634)))+~P108(f330(f330(f332(f934(x88631,x88633)),f330(f330(f255(x88631,x88633),x88632),x88635)),x88634)) % 199.45/199.84 [9010]P108(f330(f330(f68(x90101,x90102,x90103),x90104),x90105))+~P108(f330(f330(f332(f934(x90101,x90102)),f330(f330(f255(x90101,x90102),x90104),x90105)),x90103)) % 199.45/199.84 [9049]E(f330(x90491,x90492),x90493)+~P108(f330(f330(f332(x90494),x90492),f330(f314(x90494,x90495,x90491),f330(f330(f312(x90495),x90493),f191(f935(x90495,a923)))))) % 199.45/199.84 [9282]P108(f330(f330(f332(f934(x92821,x92822)),f330(f330(f255(x92821,x92822),x92823),x92824)),f330(f289(x92822,x92821),x92825)))+~P108(f330(f330(f332(f934(x92822,x92821)),f330(f330(f255(x92822,x92821),x92824),x92823)),x92825)) % 199.45/199.84 [9300]~P108(f330(f330(x93001,x93005),x93004))+P108(f330(f330(x93001,f330(f259(x93002,x93003),f330(f330(f255(x93002,x93003),x93004),x93005))),f330(f254(x93002,x93003),f330(f330(f255(x93002,x93003),x93004),x93005)))) % 199.45/199.84 [9330]~P108(f330(f330(f332(f934(x93302,x93301)),f330(f330(f255(x93302,x93301),x93304),x93303)),f330(f289(x93301,x93302),x93305)))+P108(f330(f330(f332(f934(x93301,x93302)),f330(f330(f255(x93301,x93302),x93303),x93304)),x93305)) % 199.45/199.84 [9363]~P108(f330(f330(f332(f934(x93633,x93631)),f330(f330(f255(x93633,x93631),x93635),x93632)),x93634))+P108(f330(f330(f332(x93631),x93632),f330(f288(x93633,x93631,x93634),f330(f330(f312(x93633),x93635),f191(f935(x93633,a923)))))) % 199.45/199.84 [9410]P108(f330(f330(f332(f934(x94101,x94102)),f330(f330(f255(x94101,x94102),x94103),x94104)),x94105))+~P108(f330(f330(f332(x94102),x94104),f330(f288(x94101,x94102,x94105),f330(f330(f312(x94101),x94103),f191(f935(x94101,a923)))))) % 199.45/199.84 [9499]~P76(x94991)+E(f330(f330(f6(a928,x94991),x94992),f306(a928,f330(f330(f82(a928),x94993),x94994),f330(f330(f82(a928),x94995),x94994))),f330(f330(f6(a928,x94991),f330(f330(f8(a928,x94991,a928),x94992),f330(f330(f7(a928,a928,a928),f82(a928)),x94994))),f306(a928,x94993,x94995))) % 199.45/199.84 [9518]~P76(x95181)+E(f330(f330(f6(a928,x95181),x95182),f330(f305(a928,f330(f330(f82(a928),x95183),x95184)),f330(f330(f82(a928),x95185),x95184))),f330(f330(f6(a928,x95181),f330(f330(f8(a928,x95181,a928),x95182),f330(f330(f7(a928,a928,a928),f82(a928)),x95184))),f330(f305(a928,x95183),x95185))) % 199.45/199.84 [9574]~P25(x95741,x95742,x95743,f245(f935(x95741,a923)))+E(f330(f330(f157(x95741,x95742),x95743),f330(f139(x95741,f330(f330(f8(a923,a923,x95741),a325),f330(a327,x95744))),x95745)),f330(f139(x95742,f330(f330(f8(a923,a923,x95742),a325),f330(a327,f330(x95743,x95744)))),f330(f330(f157(x95741,x95742),x95743),x95745))) % 199.45/199.84 [9592]~P25(x95921,x95922,x95923,f330(f330(f312(x95921),x95924),f330(f175(x95921),x95925)))+E(f330(f330(f157(x95921,x95922),x95923),f330(f139(x95921,f330(f330(f8(a923,a923,x95921),a325),f330(a327,x95924))),x95925)),f330(f139(x95922,f330(f330(f8(a923,a923,x95922),a325),f330(a327,f330(x95923,x95924)))),f330(f330(f157(x95921,x95922),x95923),x95925))) % 199.45/199.84 [9753]P108(f330(f330(f332(f934(f929(x97531),f929(x97531))),f330(f330(f255(f929(x97531),f929(x97531)),f330(f330(f154(x97531),x97532),x97533)),f330(f330(f154(x97531),x97534),x97533))),f160(x97531,x97535)))+~P108(f330(f330(f332(f934(x97531,x97531)),f330(f330(f255(x97531,x97531),x97532),x97534)),x97535)) % 199.45/199.84 [9873]E(f330(f330(f312(x98731),f655(x98732,x98733,x98734,x98735,x98731)),f668(x98732,x98733,x98734,x98735,x98731)),f330(f330(f312(x98731),x98734),x98733))+~P108(f330(f63(x98731,x98735,f330(f330(f312(x98731),x98734),x98733)),x98732)) % 199.45/199.84 [9874]E(f330(f330(f312(x98741),f681(x98742,x98743,x98744,x98745,x98741)),f693(x98742,x98743,x98744,x98745,x98741)),f330(f330(f312(x98741),x98744),x98743))+~P108(f330(f63(x98741,x98745,f330(f330(f312(x98741),x98744),x98743)),x98742)) % 199.45/199.84 [9955]P108(f330(f330(f332(x99551),f511(x99552,x99553,x99554,x99555,x99551)),x99554))+P108(f330(f330(f330(f41(x99551,f935(x99555,a923)),x99554),x99553),x99552)) % 199.45/199.84 [9960]P108(f330(f330(f332(x99601),f509(x99602,x99603,x99601,x99604,x99605)),x99603))+P108(f330(f330(f332(x99605),x99604),f330(f330(f41(x99601,f935(x99605,a923)),x99603),x99602))) % 199.45/199.84 [9968]P108(f330(f330(f332(x99681),f510(x99682,x99683,x99681,x99684,x99685)),x99683))+P108(f330(f330(f238(f935(x99685,a923)),x99684),f330(f330(f41(x99681,f935(x99685,a923)),x99683),x99682))) % 199.45/199.84 [9969]P108(f330(f330(f332(x99691),f848(x99692,x99693,x99694,x99695,x99691)),x99695))+P108(f330(f330(f238(f935(x99694,a923)),x99693),f330(f330(f41(x99691,f935(x99694,a923)),x99695),x99692))) % 199.45/199.84 [9971]P108(f330(f330(x99711,f899(x99712,x99711,x99713,x99714,x99715)),x99712))+~P108(f330(f330(f330(f40(x99715,f935(x99714,a923)),x99713),x99711),x99712)) % 199.45/199.84 [9975]P108(f330(f330(f332(x99751),f899(x99752,x99753,x99754,x99755,x99751)),x99754))+~P108(f330(f330(f330(f40(x99751,f935(x99755,a923)),x99754),x99753),x99752)) % 199.45/199.84 [9976]P55(x99764,f330(f330(f41(x99761,f935(x99764,a923)),x99765),x99763),f330(f330(f41(x99761,f935(f934(x99764,x99764),a923)),x99765),x99762))+P108(f330(f330(f332(x99761),f787(x99762,x99763,x99764,x99765,x99761)),x99765)) % 199.45/199.84 [9977]P55(x99774,f330(f330(f40(x99771,f935(x99774,a923)),x99775),x99773),f330(f330(f40(x99771,f935(f934(x99774,x99774),a923)),x99775),x99772))+P108(f330(f330(f332(x99771),f840(x99772,x99773,x99774,x99775,x99771)),x99775)) % 199.45/199.84 [9988]P108(f330(f330(f332(x99881),f905(x99882,x99883,x99881,x99884,x99885)),x99883))+~P108(f330(f330(f332(x99885),x99884),f330(f330(f40(x99881,f935(x99885,a923)),x99883),x99882))) % 199.45/199.84 [9994]P108(f330(f330(f332(x99941),x99942),f330(x99943,f905(x99943,x99944,x99945,x99942,x99941))))+~P108(f330(f330(f332(x99941),x99942),f330(f330(f40(x99945,f935(x99941,a923)),x99944),x99943))) % 199.45/199.84 [10076]~P108(f330(f330(x100764,f511(x100765,x100764,x100763,x100762,x100761)),x100765))+P108(f330(f330(f330(f41(x100761,f935(x100762,a923)),x100763),x100764),x100765)) % 199.45/199.84 [10079]~P108(f330(f330(f332(x100791),x100792),f330(x100795,f509(x100795,x100794,x100793,x100792,x100791))))+P108(f330(f330(f332(x100791),x100792),f330(f330(f41(x100793,f935(x100791,a923)),x100794),x100795))) % 199.45/199.84 [10083]~P55(x100831,f330(x100834,f840(x100835,x100834,x100831,x100833,x100832)),f330(x100835,f840(x100835,x100834,x100831,x100833,x100832)))+P55(x100831,f330(f330(f40(x100832,f935(x100831,a923)),x100833),x100834),f330(f330(f40(x100832,f935(f934(x100831,x100831),a923)),x100833),x100835)) % 199.45/199.84 [10084]~P55(x100841,f330(x100844,f787(x100845,x100844,x100841,x100843,x100842)),f330(x100845,f787(x100845,x100844,x100841,x100843,x100842)))+P55(x100841,f330(f330(f41(x100842,f935(x100841,a923)),x100843),x100844),f330(f330(f41(x100842,f935(f934(x100841,x100841),a923)),x100843),x100845)) % 199.45/199.84 [10085]~P108(f330(f330(f238(f935(x100851,a923)),x100852),f330(x100855,f510(x100855,x100854,x100853,x100852,x100851))))+P108(f330(f330(f238(f935(x100851,a923)),x100852),f330(f330(f41(x100853,f935(x100851,a923)),x100854),x100855))) % 199.45/199.84 [10086]~P108(f330(f330(f238(f935(x100861,a923)),x100862),f330(x100865,f848(x100865,x100862,x100861,x100864,x100863))))+P108(f330(f330(f238(f935(x100861,a923)),x100862),f330(f330(f41(x100863,f935(x100861,a923)),x100864),x100865))) % 199.45/199.84 [10151]~P108(f330(f330(f332(x101511),f655(x101515,x101514,x101513,x101512,x101511)),f668(x101515,x101514,x101513,x101512,x101511)))+~P108(f330(f63(x101511,x101512,f330(f330(f312(x101511),x101513),x101514)),x101515)) % 199.45/199.84 [10152]~P108(f330(f330(f332(x101521),f681(x101525,x101524,x101523,x101522,x101521)),f693(x101525,x101524,x101523,x101522,x101521)))+~P108(f330(f63(x101521,x101522,f330(f330(f312(x101521),x101523),x101524)),x101525)) % 199.45/199.84 [10153]~P108(f330(f330(f332(f934(x101531,x101531)),f330(f330(f255(x101531,x101531),x101532),x101535)),f330(f330(f186(f934(x101531,x101531),a923),f330(a115,x101534)),x101533)))+P108(f330(f330(f332(f934(x101531,x101531)),f330(f330(f255(x101531,x101531),x101532),f641(x101533,x101534,x101535,x101532,x101531))),f330(f330(f186(f934(x101531,x101531),a923),x101534),x101533))) % 199.45/199.84 [10159]P108(f330(f67(x101591,x101591,x101592,f655(x101593,x101594,x101595,x101592,x101591),f668(x101593,x101594,x101595,x101592,x101591)),x101593))+~P108(f330(f63(x101591,x101592,f330(f330(f312(x101591),x101595),x101594)),x101593)) % 199.45/199.84 [10160]P108(f330(f67(x101601,x101601,x101602,f681(x101603,x101604,x101605,x101602,x101601),f693(x101603,x101604,x101605,x101602,x101601)),x101603))+~P108(f330(f63(x101601,x101602,f330(f330(f312(x101601),x101605),x101604)),x101603)) % 199.45/199.84 [10171]~P110(x101711)+P13(x101711,f330(f330(f157(x101712,x101711),x101713),f330(f139(x101712,f330(f330(f7(x101712,x101711,a923),f330(f330(f8(x101711,f935(x101711,a923),x101712),a327),x101713)),f330(x101714,x101715))),x101715))) % 199.45/199.84 [10213]~P108(f330(f330(f332(x102132),x102135),f330(f288(x102131,x102132,x102134),x102133)))+P108(f330(f330(f332(f934(x102131,x102132)),f330(f330(f255(x102131,x102132),f365(x102133,x102134,x102131,x102135,x102132)),x102135)),x102134)) % 199.45/199.84 [10214]~P108(f330(f330(f332(x102142),x102145),f330(f288(x102141,x102142,x102144),x102143)))+P108(f330(f330(f332(f934(x102141,x102142)),f330(f330(f255(x102141,x102142),f432(x102143,x102144,x102141,x102145,x102142)),x102145)),x102144)) % 199.45/199.84 [10234]~P108(f330(f330(f332(f934(x102341,x102341)),f330(f330(f255(x102341,x102341),x102345),x102344)),f330(f330(f186(f934(x102341,x102341),a923),f330(a115,x102343)),x102342)))+P108(f330(f330(f332(f934(x102341,x102341)),f330(f330(f255(x102341,x102341),f641(x102342,x102343,x102344,x102345,x102341)),x102344)),x102342)) % 199.45/199.84 [10237]~P108(f330(f330(f332(f934(x102371,x102371)),f330(f330(f255(x102371,x102371),x102375),x102374)),f330(f330(f186(f934(x102371,x102371),a923),f330(a115,x102373)),x102372)))+P108(f330(f330(f332(f934(x102371,x102371)),f330(f330(f255(x102371,x102371),f640(x102372,x102373,x102374,x102375,x102371)),x102374)),f330(f330(f186(f934(x102371,x102371),a923),x102373),x102372))) % 199.45/199.84 [10238]~P108(f330(f330(f332(f934(x102381,x102381)),f330(f330(f255(x102381,x102381),x102385),x102384)),f330(f330(f186(f934(x102381,x102381),a923),f330(a115,x102383)),x102382)))+P108(f330(f330(f332(f934(x102381,x102381)),f330(f330(f255(x102381,x102381),f642(x102382,x102383,x102384,x102385,x102381)),x102384)),f330(f330(f186(f934(x102381,x102381),a923),x102383),x102382))) % 199.45/199.84 [10239]~P108(f330(f330(f332(f934(f929(x102391),f929(x102391))),f330(f330(f255(f929(x102391),f929(x102391)),x102395),f330(f330(f154(x102391),x102394),x102393))),f161(x102391,x102392)))+P108(f330(f330(f332(f934(x102391,x102391)),f330(f330(f255(x102391,x102391),f663(x102392,x102393,x102394,x102395,x102391)),x102394)),x102392)) % 199.45/199.84 [7837]~E(x78373,f191(f935(x78372,a923)))+E(f330(f330(f104(f935(x78371,a923)),f330(f330(f41(x78372,f935(x78371,a923)),x78373),x78374)),x78375),x78375) % 199.45/199.84 [7838]~E(x78383,f191(f935(x78382,a923)))+E(f330(f330(f113(f935(x78381,a923)),f330(f330(f40(x78382,f935(x78381,a923)),x78383),x78384)),x78385),x78385) % 199.45/199.84 [8261]~E(x82613,f191(f935(x82612,a923)))+E(f330(f330(f23(f935(x82611,a923)),f330(f330(f41(x82612,f935(x82611,a923)),x82613),x82614)),x82615),f330(f330(f23(f935(x82611,a923)),f245(f935(x82611,a923))),x82615)) % 199.45/199.84 [8392]E(f330(f330(f162(x83921,f330(f330(f137(x83921),x83922),x83923)),x83924),x83925),f330(f330(f137(x83921),f330(f330(f162(x83921,x83922),x83924),x83925)),x83923))+~P108(f330(f330(f239(a928),x83924),f330(f192(f929(x83921)),x83922))) % 199.45/199.84 [8662]E(f330(f330(f167(x86621),f330(f330(f157(a928,x86621),x86622),f142(a928,f330(f305(a928,x86623),x86624)))),x86625),f330(x86622,f330(f330(f82(a928),x86623),x86625)))+~P108(f330(f330(f239(a928),x86625),f330(f330(f23(a928),x86624),x86623))) % 199.45/199.84 [8676]E(x86761,f2(a102))+E(f125(x86762,x86763,f330(x86764,f330(f330(f23(a102),x86761),f80(a102))),f330(f330(f7(x86762,a102,f930(f932(x86763))),x86765),x86761)),f330(f200(x86762,x86763,x86764,x86765),x86761)) % 199.45/199.84 [8700]~E(x87003,f191(f935(x87001,a923)))+E(f330(f330(f40(x87001,f935(x87002,a923)),x87003),f330(f330(f8(f935(x87002,a923),f935(x87002,a923),x87001),f330(f113(f935(x87002,a923)),x87004)),x87005)),f191(f935(x87002,a923))) % 199.45/199.84 [8701]~E(x87013,f191(f935(x87011,a923)))+E(f330(f330(f41(x87011,f935(x87012,a923)),x87013),f330(f330(f8(f935(x87012,a923),f935(x87012,a923),x87011),f330(f23(f935(x87012,a923)),x87014)),x87015)),f245(f935(x87012,a923))) % 199.45/199.84 [8702]~E(x87023,f191(f935(x87021,a923)))+E(f330(f330(f41(x87021,f935(x87022,a923)),x87023),f330(f330(f8(f935(x87022,a923),f935(x87022,a923),x87021),f330(f104(f935(x87022,a923)),x87024)),x87025)),f245(f935(x87022,a923))) % 199.45/199.84 [8704]~P149(x87042)+E(f330(f330(f6(x87041,x87042),f330(f330(f8(x87042,x87042,x87041),f330(f83(x87042),x87043)),x87044)),x87045),f330(f330(f83(x87042),x87043),f330(f330(f6(x87041,x87042),x87044),x87045))) % 199.45/199.84 [8994]E(x89941,f191(f935(x89942,a923)))+E(f330(f330(f40(x89942,f935(x89943,a923)),x89941),f330(f330(f8(f935(x89943,a923),f935(x89943,a923),x89942),f330(f113(f935(x89943,a923)),x89944)),x89945)),f330(f330(f113(f935(x89943,a923)),x89944),f330(f330(f40(x89942,f935(x89943,a923)),x89941),x89945))) % 199.45/199.84 [8995]E(x89951,f191(f935(x89952,a923)))+E(f330(f330(f41(x89952,f935(x89953,a923)),x89951),f330(f330(f8(f935(x89953,a923),f935(x89953,a923),x89952),f330(f23(f935(x89953,a923)),x89954)),x89955)),f330(f330(f23(f935(x89953,a923)),x89954),f330(f330(f40(x89952,f935(x89953,a923)),x89951),x89955))) % 199.45/199.84 [8996]E(x89961,f191(f935(x89962,a923)))+E(f330(f330(f41(x89962,f935(x89963,a923)),x89961),f330(f330(f8(f935(x89963,a923),f935(x89963,a923),x89962),f330(f104(f935(x89963,a923)),x89964)),x89965)),f330(f330(f104(f935(x89963,a923)),x89964),f330(f330(f41(x89962,f935(x89963,a923)),x89961),x89965))) % 199.45/199.84 [9200]~P108(f330(f330(f239(a928),f330(x92004,x92002)),f330(x92004,x92003)))+P108(f330(f330(f332(f934(x92001,x92001)),f330(f330(f255(x92001,x92001),x92002),x92003)),f156(x92001,f330(f330(f154(f935(x92001,a928)),x92004),x92005)))) % 199.45/199.84 [9465]~P25(x94652,x94651,x94653,f330(f330(f113(f935(x94652,a923)),x94654),x94655))+E(f330(f330(f104(f935(x94651,a923)),f330(f313(x94652,x94651,x94653),f330(f330(f23(f935(x94652,a923)),x94654),x94655))),f330(f313(x94652,x94651,x94653),f330(f330(f23(f935(x94652,a923)),x94655),x94654))),f191(f935(x94651,a923))) % 199.45/199.84 [9718]~P25(x97183,x97181,x97185,f245(f935(x97183,a923)))+E(f330(f74(x97181,x97182,x97183,f330(f74(x97183,x97182,x97181,x97184),f94(x97183,x97181,f245(f935(x97183,a923)),x97185))),x97185),x97184) % 199.45/199.84 [9749]~P108(f330(f330(f238(f935(x97493,a923)),f330(f288(x97491,x97493,x97494),x97492)),x97495))+P108(f330(f330(f238(f935(x97491,a923)),x97492),f330(f81(f935(x97491,a923)),f330(f288(x97493,x97491,f330(f289(x97491,x97493),x97494)),f330(f81(f935(x97493,a923)),x97495))))) % 199.45/199.84 [9774]~P25(x97741,x97742,x97743,f330(f330(f312(x97741),x97744),x97745))+~P108(f330(f330(f332(x97742),f330(x97743,x97744)),f330(f313(x97741,x97742,x97743),f330(f330(f23(f935(x97741,a923)),x97745),f330(f330(f312(x97741),x97744),f191(f935(x97741,a923))))))) % 199.45/199.84 [9827]P108(f330(f330(f238(f935(x98271,a923)),f330(f288(x98272,x98271,x98273),x98274)),x98275))+~P108(f330(f330(f238(f935(x98272,a923)),x98274),f330(f81(f935(x98272,a923)),f330(f288(x98271,x98272,f330(f289(x98272,x98271),x98273)),f330(f81(f935(x98271,a923)),x98275))))) % 199.45/199.84 [9900]~P86(x99001)+P108(f330(f330(f238(x99001),f330(f77(x99001),f330(f330(f23(x99001),f330(f330(f82(x99001),x99002),x99003)),f330(f330(f82(x99001),x99004),x99005)))),f330(f330(f82(x99001),f330(f77(x99001),f330(f330(f23(x99001),x99002),x99004))),f330(f77(x99001),f330(f330(f23(x99001),x99003),x99005))))) % 199.45/199.84 [10009]P108(f330(f330(f332(x100091),f909(x100092,x100093,x100094,x100091,x100095)),x100094))+P108(f330(f330(f238(f935(x100095,a923)),f330(f330(f40(x100091,f935(x100095,a923)),x100094),x100093)),x100092)) % 199.45/199.84 [10190]~P108(f330(f330(f238(f935(x101901,a923)),f330(x101904,f909(x101905,x101904,x101903,x101902,x101901))),x101905))+P108(f330(f330(f238(f935(x101901,a923)),f330(f330(f40(x101902,f935(x101901,a923)),x101903),x101904)),x101905)) % 199.45/199.84 [8808]E(f330(f330(f137(x88081),x88082),f330(f330(f162(x88081,x88083),f330(f330(f23(a928),x88084),f330(f192(f929(x88081)),x88082))),x88085)),f330(f330(f162(x88081,f330(f330(f137(x88081),x88082),x88083)),x88084),x88085))+P108(f330(f330(f239(a928),x88084),f330(f192(f929(x88081)),x88082))) % 199.45/199.84 [8836]~P131(x88361)+E(f330(f330(f82(x88361),f330(f330(f83(x88361),x88362),x88363)),f330(f330(f82(x88361),f330(f330(f83(x88361),x88364),x88363)),x88365)),f330(f330(f82(x88361),f330(f330(f83(x88361),f330(f330(f82(x88361),x88362),x88364)),x88363)),x88365)) % 199.45/199.84 [9419]~P149(x94191)+E(f330(f168(x94191),f330(f330(f157(x94192,x94191),f330(f330(f8(x94191,x94191,x94192),f330(f83(x94191),x94193)),x94194)),x94195)),f330(f330(f83(x94191),x94193),f330(f168(x94191),f330(f330(f157(x94192,x94191),x94194),x94195)))) % 199.45/199.84 [9591]E(f330(f192(f929(x95911)),f330(f330(f178(x95911),f330(f330(f236(a928),f330(f192(f929(x95911)),x95912)),f330(f192(f929(x95913)),x95914))),x95912)),f330(f192(f929(x95913)),f330(f330(f178(x95913),f330(f330(f236(a928),f330(f192(f929(x95911)),x95912)),f330(f192(f929(x95913)),x95914))),x95914)))+P108(f330(x95915,f330(f330(f184(x95911,x95913),x95912),x95914))) % 199.45/199.84 [9837]~P149(x98372)+E(f330(f330(f6(x98371,x98372),f330(f330(f7(x98371,x98372,x98372),f330(f330(f8(x98372,f935(x98372,x98372),x98371),f83(x98372)),x98373)),x98374)),x98375),f330(f330(f83(x98372),f330(f330(f6(x98371,x98372),x98373),x98375)),x98374)) % 199.45/199.84 [9838]~P67(x98382)+E(f330(f330(f6(x98381,x98382),f330(f330(f7(x98381,x98382,x98382),f330(f330(f8(x98382,f935(x98382,x98382),x98381),f294(x98382)),x98383)),x98384)),x98385),f330(f330(f294(x98382),f330(f330(f6(x98381,x98382),x98383),x98385)),x98384)) % 199.45/199.84 [9845]~P72(x98452)+E(f330(f330(f9(x98451,x98452),f330(f330(f18(x98451,x98452,x98452),f330(f330(f8(x98452,f935(x98452,x98452),x98451),f83(x98452)),x98453)),x98454)),x98455),f330(f330(f83(x98452),f330(f330(f9(x98451,x98452),x98453),x98455)),f330(f330(f9(x98451,x98452),x98454),x98455))) % 199.45/199.84 [9846]~P3(x98462)+E(f330(f330(f6(x98461,x98462),f330(f330(f18(x98461,x98462,x98462),f330(f330(f8(x98462,f935(x98462,x98462),x98461),f23(x98462)),x98463)),x98464)),x98465),f330(f330(f23(x98462),f330(f330(f6(x98461,x98462),x98463),x98465)),f330(f330(f6(x98461,x98462),x98464),x98465))) % 199.45/199.84 [9847]~P76(x98472)+E(f330(f330(f6(x98471,x98472),f330(f330(f18(x98471,x98472,x98472),f330(f330(f8(x98472,f935(x98472,x98472),x98471),f82(x98472)),x98473)),x98474)),x98475),f330(f330(f82(x98472),f330(f330(f6(x98471,x98472),x98473),x98475)),f330(f330(f6(x98471,x98472),x98474),x98475))) % 199.45/199.84 [9885]~E(x98853,f191(f935(x98851,a923)))+E(f330(f330(f40(x98851,f935(x98852,a923)),x98853),f330(f330(f7(x98851,f935(x98852,a923),f935(x98852,a923)),f330(f330(f8(f935(x98852,a923),f935(f935(x98852,a923),f935(x98852,a923)),x98851),f113(f935(x98852,a923))),x98854)),x98855)),f191(f935(x98852,a923))) % 199.45/199.84 [9886]~E(x98863,f191(f935(x98861,a923)))+E(f330(f330(f41(x98861,f935(x98862,a923)),x98863),f330(f330(f7(x98861,f935(x98862,a923),f935(x98862,a923)),f330(f330(f8(f935(x98862,a923),f935(f935(x98862,a923),f935(x98862,a923)),x98861),f23(f935(x98862,a923))),x98864)),x98865)),f245(f935(x98862,a923))) % 199.45/199.84 [9887]~E(x98873,f191(f935(x98871,a923)))+E(f330(f330(f41(x98871,f935(x98872,a923)),x98873),f330(f330(f7(x98871,f935(x98872,a923),f935(x98872,a923)),f330(f330(f8(f935(x98872,a923),f935(f935(x98872,a923),f935(x98872,a923)),x98871),f104(f935(x98872,a923))),x98874)),x98875)),f245(f935(x98872,a923))) % 199.45/199.84 [9908]E(x99081,f191(f935(x99082,a923)))+E(f330(f330(f40(x99082,f935(x99083,a923)),x99081),f330(f330(f7(x99082,f935(x99083,a923),f935(x99083,a923)),f330(f330(f8(f935(x99083,a923),f935(f935(x99083,a923),f935(x99083,a923)),x99082),f113(f935(x99083,a923))),x99084)),x99085)),f330(f330(f113(f935(x99083,a923)),f330(f330(f40(x99082,f935(x99083,a923)),x99081),x99084)),x99085)) % 199.45/199.84 [9909]E(x99091,f191(f935(x99092,a923)))+E(f330(f330(f41(x99092,f935(x99093,a923)),x99091),f330(f330(f7(x99092,f935(x99093,a923),f935(x99093,a923)),f330(f330(f8(f935(x99093,a923),f935(f935(x99093,a923),f935(x99093,a923)),x99092),f23(f935(x99093,a923))),x99094)),x99095)),f330(f330(f23(f935(x99093,a923)),f330(f330(f41(x99092,f935(x99093,a923)),x99091),x99094)),x99095)) % 199.45/199.84 [9910]E(x99101,f191(f935(x99102,a923)))+E(f330(f330(f41(x99102,f935(x99103,a923)),x99101),f330(f330(f7(x99102,f935(x99103,a923),f935(x99103,a923)),f330(f330(f8(f935(x99103,a923),f935(f935(x99103,a923),f935(x99103,a923)),x99102),f104(f935(x99103,a923))),x99104)),x99105)),f330(f330(f104(f935(x99103,a923)),f330(f330(f41(x99102,f935(x99103,a923)),x99101),x99104)),x99105)) % 199.45/199.84 [9470]~P108(f330(f330(f238(a928),x94701),x94704))+E(f330(f330(f23(a928),f330(f330(f82(a928),f330(f330(f83(a928),x94701),x94702)),x94703)),f330(f330(f82(a928),f330(f330(f83(a928),x94704),x94702)),x94705)),f330(f330(f23(a928),x94703),f330(f330(f82(a928),f330(f330(f83(a928),f330(f330(f23(a928),x94704),x94701)),x94702)),x94705))) % 199.45/199.84 [10058]~P149(x100581)+E(f330(f168(x100581),f330(f330(f157(x100582,x100581),f330(f330(f7(x100582,x100581,x100581),f330(f330(f8(x100581,f935(x100581,x100581),x100582),f83(x100581)),x100583)),x100584)),x100585)),f330(f330(f83(x100581),f330(f168(x100581),f330(f330(f157(x100582,x100581),x100583),x100585))),x100584)) % 199.45/199.84 [10064]~P3(x100641)+E(f330(f168(x100641),f330(f330(f157(x100642,x100641),f330(f330(f18(x100642,x100641,x100641),f330(f330(f8(x100641,f935(x100641,x100641),x100642),f23(x100641)),x100643)),x100644)),x100645)),f330(f330(f23(x100641),f330(f168(x100641),f330(f330(f157(x100642,x100641),x100643),x100645))),f330(f168(x100641),f330(f330(f157(x100642,x100641),x100644),x100645)))) % 199.45/199.84 [10065]~P76(x100651)+E(f330(f168(x100651),f330(f330(f157(x100652,x100651),f330(f330(f18(x100652,x100651,x100651),f330(f330(f8(x100651,f935(x100651,x100651),x100652),f82(x100651)),x100653)),x100654)),x100655)),f330(f330(f82(x100651),f330(f168(x100651),f330(f330(f157(x100652,x100651),x100653),x100655))),f330(f168(x100651),f330(f330(f157(x100652,x100651),x100654),x100655)))) % 199.45/199.84 [10205]P108(f330(x102051,f330(f330(f184(x102052,x102053),x102054),x102055)))+~P108(f330(x102051,f330(f330(f184(x102052,x102053),f330(f330(f178(x102052),f330(f330(f236(a928),f330(f192(f929(x102052)),x102054)),f330(f192(f929(x102053)),x102055))),x102054)),f330(f330(f178(x102053),f330(f330(f236(a928),f330(f192(f929(x102052)),x102054)),f330(f192(f929(x102053)),x102055))),x102055)))) % 199.45/199.84 [10466]~P108(f330(f330(f332(f934(x104662,x104661)),f330(f330(f255(x104662,x104661),x104664),x104665)),f330(f289(x104661,x104662),x104663)))+P108(f330(f330(f246(x104661,x104662,f330(f330(f7(x104661,f935(f934(x104661,x104662),a923),f935(x104662,a923)),f330(f330(f8(f935(x104662,f935(f935(f934(x104661,x104662),a923),a923)),f935(f935(f934(x104661,x104662),a923),f935(x104662,a923)),x104661),f7(x104662,f935(f934(x104661,x104662),a923),a923)),f330(f330(f8(f935(x104662,f934(x104661,x104662)),f935(x104662,f935(f935(f934(x104661,x104662),a923),a923)),x104661),f330(f8(f934(x104661,x104662),f935(f935(f934(x104661,x104662),a923),a923),x104662),f332(f934(x104661,x104662)))),f255(x104661,x104662)))),x104663)),x104664),x104665)) % 199.45/199.84 [10476]P108(f330(f330(f332(f934(x104761,x104762)),f330(f330(f255(x104761,x104762),x104763),x104764)),f330(f289(x104762,x104761),x104765)))+~P108(f330(f330(f246(x104762,x104761,f330(f330(f7(x104762,f935(f934(x104762,x104761),a923),f935(x104761,a923)),f330(f330(f8(f935(x104761,f935(f935(f934(x104762,x104761),a923),a923)),f935(f935(f934(x104762,x104761),a923),f935(x104761,a923)),x104762),f7(x104761,f935(f934(x104762,x104761),a923),a923)),f330(f330(f8(f935(x104761,f934(x104762,x104761)),f935(x104761,f935(f935(f934(x104762,x104761),a923),a923)),x104762),f330(f8(f934(x104762,x104761),f935(f935(f934(x104762,x104761),a923),a923),x104761),f332(f934(x104762,x104761)))),f255(x104762,x104761)))),x104765)),x104763),x104764)) % 199.45/199.84 [9717]~P108(f330(f330(f238(a928),x97174),x97171))+E(f330(f330(f23(a928),f330(f330(f82(a928),f330(f330(f83(a928),x97171),x97172)),x97173)),f330(f330(f82(a928),f330(f330(f83(a928),x97174),x97172)),x97175)),f330(f330(f23(a928),f330(f330(f82(a928),f330(f330(f83(a928),f330(f330(f23(a928),x97171),x97174)),x97172)),x97173)),x97175)) % 199.45/199.84 [5518]E(x55181,x55182)+~E(f28(x55183,x55184,x55181),f28(x55185,x55186,x55182)) % 199.45/199.84 [5519]E(x55191,x55192)+~E(f28(x55193,x55191,x55194),f28(x55195,x55192,x55196)) % 199.45/199.84 [5520]E(x55201,x55202)+~E(f28(x55201,x55203,x55204),f28(x55202,x55205,x55206)) % 199.45/199.84 [5521]E(x55211,x55212)+~E(f27(x55213,x55214,x55211),f27(x55215,x55216,x55212)) % 199.45/199.84 [5522]E(x55221,x55222)+~E(f27(x55223,x55221,x55224),f27(x55225,x55222,x55226)) % 199.45/199.84 [5523]E(x55231,x55232)+~E(f27(x55231,x55233,x55234),f27(x55232,x55235,x55236)) % 199.45/199.84 [7535]E(x75351,x75352)+~E(f224(x75353,x75354,x75355,x75351),f224(x75353,x75354,x75356,x75352)) % 199.45/199.84 [7536]E(x75361,x75362)+~E(f224(x75363,x75364,x75361,x75365),f224(x75363,x75364,x75362,x75366)) % 199.45/199.84 [8646]~P19(x86465,x86461,x86462,x86466)+E(f330(f74(x86461,x86461,x86461,f330(x86462,x86463)),f330(x86462,x86464)),f330(f74(x86461,x86461,x86461,f330(x86462,x86464)),f330(x86462,x86463))) % 199.45/199.84 [8880]~P59(x88804,x88805,x88802,x88801,x88806)+E(f330(x88801,f330(x88802,x88803)),x88803) % 199.45/199.84 [9047]P25(x90471,x90472,x90473,x90474)+~P25(x90471,x90475,f330(f74(x90472,x90475,x90471,x90476),x90473),x90474) % 199.45/199.84 [9120]~E(x91206,x91204)+E(f330(f76(x91201,x91202,x91203,x91204,x91205),x91206),x91205) % 199.45/199.84 [9126]E(x91261,x91262)+E(f330(f76(x91263,x91264,x91265,x91262,x91266),x91261),f330(x91265,x91261)) % 199.45/199.84 [9138]~P25(x91384,x91382,f330(f74(x91381,x91382,x91384,x91383),x91385),x91386)+P25(x91381,x91382,x91383,f330(f313(x91384,x91381,x91385),x91386)) % 199.45/199.84 [9848]P108(f330(f62(x98481),x98482))+~P108(f330(f67(x98481,x98483,x98484,x98485,x98482),x98486)) % 199.45/199.84 [9857]~P108(f330(f330(f332(x98574),x98573),f303(x98574,x98575,x98571,x98572,x98576)))+P108(f330(f330(x98571,x98572),x98573)) % 199.45/199.84 [9858]~P108(f330(f330(f332(x98584),x98583),f300(x98584,x98581,x98585,x98582,x98586)))+P108(f330(f330(x98581,x98582),x98583)) % 199.45/199.84 [9859]~P108(f330(f330(f332(x98594),x98592),f303(x98594,x98591,x98595,x98596,x98593)))+P108(f330(f330(x98591,x98592),x98593)) % 199.45/199.84 [9860]~P108(f330(f330(f332(x98604),x98602),f300(x98604,x98605,x98601,x98606,x98603)))+P108(f330(f330(x98601,x98602),x98603)) % 199.45/199.84 [10355]P12(x103551,x103552,x103553,x103554,x103555,x103556)+~E(f330(f330(x103556,f862(x103553,x103556,x103555,x103552,x103554,x103551)),f864(x103553,x103556,x103555,x103552,x103554,x103551)),f330(f330(x103556,f863(x103553,x103556,x103555,x103552,x103554,x103551)),f865(x103553,x103556,x103555,x103552,x103554,x103551))) % 199.45/199.84 [6029]E(x60291,x60292)+~E(f330(f330(f255(x60293,x60294),x60295),x60291),f330(f330(f255(x60293,x60294),x60296),x60292)) % 199.45/199.84 [6031]E(x60311,x60312)+~E(f330(f330(f255(x60313,x60314),x60311),x60315),f330(f330(f255(x60313,x60314),x60312),x60316)) % 199.45/199.84 [6167]~P16(x61675,x61676,x61671)+E(f330(f330(x61671,x61672),f330(f330(x61671,x61673),x61674)),f330(f330(x61671,x61673),f330(f330(x61671,x61672),x61674))) % 199.45/199.84 [7599]~P34(x75994,x75991,f330(f330(f154(x75994),x75992),x75995),f330(f330(f154(x75994),x75993),x75996))+P108(f330(f330(x75991,x75992),x75993)) % 199.45/199.84 [7953]P34(x79531,x79532,x79533,x79534)+~P34(x79531,x79532,f330(f330(f154(x79531),x79535),x79533),f330(f330(f154(x79531),x79536),x79534)) % 199.45/199.84 [8984]~P59(x89845,x89841,x89842,x89846,x89844)+P108(f330(f330(f332(x89841),f330(x89842,x89843)),x89844)) % 199.45/199.84 [9167]E(f330(f78(x91671,x91672,x91673,x91674,x91675),x91676),f330(x91673,x91676))+P108(f330(f330(f332(x91671),x91676),x91675)) % 199.45/199.84 [9189]~E(x91893,f330(f330(f154(x91891),x91895),x91896))+P108(f330(f330(f332(f934(f929(x91891),f929(x91891))),f330(f330(f255(f929(x91891),f929(x91891)),x91892),f330(f330(f137(x91891),x91892),x91893))),f150(x91891,x91894))) % 199.45/199.84 [9194]E(f330(f78(x91941,x91942,x91943,x91944,x91945),x91946),f330(x91944,x91946))+~P108(f330(f330(f332(x91941),x91946),x91945)) % 199.45/199.84 [9425]~P36(x94251,x94252,x94253,x94255,x94256)+P36(x94251,x94252,x94253,f330(f330(f178(x94251),x94254),x94255),f330(f330(f178(x94252),x94254),x94256)) % 199.45/199.84 [9426]~P36(x94261,x94262,x94263,x94265,x94266)+P36(x94261,x94262,x94263,f330(f330(f141(x94261),x94264),x94265),f330(f330(f141(x94262),x94264),x94266)) % 199.45/199.84 [9684]E(f330(f313(x96841,x96842,f76(x96841,x96842,x96843,x96844,x96845)),x96846),f330(f313(x96841,x96842,x96843),x96846))+P108(f330(f330(f332(x96841),x96844),x96846)) % 199.45/199.84 [9687]E(f330(f330(f157(x96871,x96872),f76(x96871,x96872,x96873,x96874,x96875)),x96876),f330(f330(f157(x96871,x96872),x96873),x96876))+P108(f330(f330(f332(x96871),x96874),f330(f175(x96871),x96876))) % 199.45/199.84 [9920]~P23(x99204,x99202,x99205,x99203,x99206,x99201)+E(f330(x99201,f191(f935(x99202,a923))),x99203) % 199.45/199.84 [10154]~E(f330(x101544,f330(f254(x101541,x101543),x101545)),f330(x101546,f330(f254(x101541,x101543),x101545)))+E(f330(f261(x101541,x101542,x101543,x101543,x101544,f33(x101543)),x101545),f330(f261(x101541,x101542,x101543,x101543,x101546,f33(x101543)),x101545)) % 199.45/199.84 [10155]~E(f330(x101554,f330(f259(x101551,x101552),x101555)),f330(x101556,f330(f259(x101551,x101552),x101555)))+E(f330(f261(x101551,x101551,x101552,x101553,f33(x101551),x101554),x101555),f330(f261(x101551,x101551,x101552,x101553,f33(x101551),x101556),x101555)) % 199.45/199.84 [10201]~E(f330(f261(x102012,x102016,x102013,x102013,x102011,f33(x102013)),x102014),f330(f261(x102012,x102016,x102013,x102013,x102015,f33(x102013)),x102014))+E(f330(x102011,f330(f254(x102012,x102013),x102014)),f330(x102015,f330(f254(x102012,x102013),x102014))) % 199.45/199.84 [10202]~E(f330(f261(x102022,x102022,x102023,x102026,f33(x102022),x102021),x102024),f330(f261(x102022,x102022,x102023,x102026,f33(x102022),x102025),x102024))+E(f330(x102021,f330(f259(x102022,x102023),x102024)),f330(x102025,f330(f259(x102022,x102023),x102024))) % 199.45/199.84 [9087]P108(f330(f330(f332(x90871),x90872),x90873))+~P108(f330(f330(f332(f934(x90871,x90874)),f330(f330(f255(x90871,x90874),x90872),x90875)),f330(f330(f257(x90871,x90874),x90873),x90876))) % 199.45/199.84 [9103]P108(f330(f330(f332(x91031),x91032),f330(x91033,x91034)))+~P108(f330(f330(f332(f934(x91035,x91031)),f330(f330(f255(x91035,x91031),x91034),x91032)),f330(f330(f257(x91035,x91031),x91036),x91033))) % 199.45/199.84 [9541]P108(f330(f330(f332(f934(x95411,x95411)),f330(f330(f255(x95411,x95411),f330(x95412,x95413)),f330(x95412,x95414))),x95415))+~P108(f330(f330(f332(f934(x95416,x95416)),f330(f330(f255(x95416,x95416),x95413),x95414)),f330(f330(f291(x95411,x95416),x95415),x95412))) % 199.45/199.84 [9561]~P108(f330(f330(f332(f934(x95614,x95614)),f330(f330(f255(x95614,x95614),f330(x95616,x95612)),f330(x95616,x95613))),x95615))+P108(f330(f330(f332(f934(x95611,x95611)),f330(f330(f255(x95611,x95611),x95612),x95613)),f330(f330(f291(x95614,x95611),x95615),x95616))) % 199.45/199.84 [10204]E(f330(f330(f255(x102041,x102042),f656(x102043,x102044,x102045,x102046,x102042,x102041)),f657(x102043,x102044,x102045,x102046,x102042,x102041)),x102046)+~P108(f330(f330(f332(f934(x102041,x102042)),x102046),f330(f330(f292(x102041,x102045,x102042),x102044),x102043))) % 199.45/199.84 [10420]~P108(f330(f330(f332(f934(x104201,x104206)),x104205),f330(f330(f292(x104201,x104202,x104206),x104204),x104203)))+P108(f330(f330(f332(f934(x104201,x104202)),f330(f330(f255(x104201,x104202),f656(x104203,x104204,x104202,x104205,x104206,x104201)),f658(x104203,x104204,x104202,x104205,x104206,x104201))),x104204)) % 199.45/199.84 [10421]~P108(f330(f330(f332(f934(x104216,x104212)),x104215),f330(f330(f292(x104216,x104211,x104212),x104214),x104213)))+P108(f330(f330(f332(f934(x104211,x104212)),f330(f330(f255(x104211,x104212),f658(x104213,x104214,x104211,x104215,x104212,x104216)),f657(x104213,x104214,x104211,x104215,x104212,x104216))),x104213)) % 199.45/199.84 [10422]P12(x104221,x104222,x104223,x104224,x104225,x104226)+P108(f330(f330(f332(f934(x104222,x104222)),f330(f330(f255(x104222,x104222),f865(x104223,x104226,x104225,x104222,x104224,x104221)),f864(x104223,x104226,x104225,x104222,x104224,x104221))),x104225)) % 199.45/199.84 [10423]P12(x104231,x104232,x104233,x104234,x104235,x104236)+P108(f330(f330(f332(f934(x104231,x104231)),f330(f330(f255(x104231,x104231),f863(x104233,x104236,x104235,x104232,x104234,x104231)),f862(x104233,x104236,x104235,x104232,x104234,x104231))),x104234)) % 199.45/199.84 [8023]~P5(x80232)+E(f330(f330(f40(x80231,x80232),x80233),f330(f330(f7(x80231,x80234,x80232),x80235),x80236)),f330(f330(f330(f40(x80231,f935(x80234,x80232)),x80233),x80235),x80236)) % 199.45/199.84 [8024]~P5(x80242)+E(f330(f330(f41(x80241,x80242),x80243),f330(f330(f7(x80241,x80244,x80242),x80245),x80246)),f330(f330(f330(f41(x80241,f935(x80244,x80242)),x80243),x80245),x80246)) % 199.45/199.84 [8790]E(f330(f330(f40(x87901,f935(x87902,a923)),x87903),f330(f330(f8(f935(x87902,a923),f935(x87902,a923),x87901),f330(f312(x87902),x87904)),x87905)),f330(f330(f312(x87902),x87904),f330(f330(f40(x87901,f935(x87902,a923)),x87903),x87905)))+~P108(f330(f330(f332(x87901),x87906),x87903)) % 199.45/199.84 [9244]~P5(x92442)+E(f330(f330(f40(x92441,x92442),x92443),f330(f330(f8(f935(x92444,x92442),x92442,x92441),f330(f40(x92444,x92442),x92445)),f330(f7(x92444,x92441,x92442),x92446))),f330(f330(f40(x92444,x92442),x92445),f330(f330(f8(f935(x92441,x92442),x92442,x92444),f330(f40(x92441,x92442),x92443)),x92446))) % 199.45/199.84 [9245]~P5(x92452)+E(f330(f330(f41(x92451,x92452),x92453),f330(f330(f8(f935(x92454,x92452),x92452,x92451),f330(f41(x92454,x92452),x92455)),f330(f7(x92454,x92451,x92452),x92456))),f330(f330(f41(x92454,x92452),x92455),f330(f330(f8(f935(x92451,x92452),x92452,x92454),f330(f41(x92451,x92452),x92453)),x92456))) % 199.45/199.84 [9450]P108(f330(f330(f332(x94501),x94502),f330(f175(x94501),x94503)))+~P108(f330(f330(f332(f934(x94504,x94501)),f330(f330(f255(x94504,x94501),x94505),x94502)),f330(f175(f934(x94504,x94501)),f330(f330(f184(x94504,x94501),x94506),x94503)))) % 199.45/199.84 [9451]P108(f330(f330(f332(x94511),x94512),f330(f175(x94511),x94513)))+~P108(f330(f330(f332(f934(x94511,x94514)),f330(f330(f255(x94511,x94514),x94512),x94515)),f330(f175(f934(x94511,x94514)),f330(f330(f184(x94511,x94514),x94513),x94516)))) % 199.45/199.84 [9557]P108(f330(f330(f238(f935(x95571,a923)),f330(f288(x95572,x95571,x95573),x95574)),x95575))+~P108(f330(f330(f238(f935(f934(x95572,x95571),a923)),x95573),f330(f330(f257(x95572,x95571),x95576),f330(f16(f935(x95571,a923),x95572),x95575)))) % 199.45/199.84 [9562]~P26(x95624,x95622,x95625,f245(f935(x95624,a923)),f245(f935(x95622,a923)))+E(f330(f330(f41(x95621,f935(x95622,a923)),x95623),f330(f330(f8(f935(x95624,a923),f935(x95622,a923),x95621),f313(x95624,x95622,x95625)),x95626)),f330(f313(x95624,x95622,x95625),f330(f330(f41(x95621,f935(x95624,a923)),x95623),x95626))) % 199.45/199.84 [9752]P108(f330(f330(f332(f934(f929(x97521),f929(x97521))),f330(f330(f255(f929(x97521),f929(x97521)),f330(f330(f154(x97521),x97522),x97523)),f330(f330(f154(x97521),x97524),x97525))),f150(x97521,x97526)))+~P108(f330(f330(f332(f934(x97521,x97521)),f330(f330(f255(x97521,x97521),x97522),x97524)),x97526)) % 199.45/199.84 [10200]E(f330(f330(f255(x102001,x102002),f590(x102003,x102004,x102005,x102002,x102001,x102006)),f593(x102003,x102004,x102005,x102002,x102001,x102006)),x102006)+P108(f330(f330(f332(x102005),x102004),f330(f330(f260(x102001,x102002,f935(x102005,a923)),x102003),x102006))) % 199.45/199.84 [10206]E(f330(f330(f255(x102061,x102062),f591(x102063,x102064,x102062,x102061,x102065,x102066)),f592(x102063,x102064,x102062,x102061,x102065,x102066)),x102063)+~P108(f330(f330(f332(x102066),x102065),f330(f330(f260(x102061,x102062,f935(x102066,a923)),x102064),x102063))) % 199.45/199.84 [10368]P108(f330(f330(f332(x103681),x103682),f330(f330(x103683,f591(x103684,x103683,x103685,x103686,x103682,x103681)),f592(x103684,x103683,x103685,x103686,x103682,x103681))))+~P108(f330(f330(f332(x103681),x103682),f330(f330(f260(x103686,x103685,f935(x103681,a923)),x103683),x103684))) % 199.45/199.84 [10393]~P108(f330(f330(f332(x103931),x103932),f330(f330(x103935,f590(x103935,x103932,x103931,x103934,x103933,x103936)),f593(x103935,x103932,x103931,x103934,x103933,x103936))))+P108(f330(f330(f332(x103931),x103932),f330(f330(f260(x103933,x103934,f935(x103931,a923)),x103935),x103936))) % 199.45/199.84 [8692]E(x86921,x86922)+E(f330(f330(f162(x86923,f330(f330(f162(x86923,x86924),x86921),x86925)),x86922),x86926),f330(f330(f162(x86923,f330(f330(f162(x86923,x86924),x86922),x86926)),x86921),x86925)) % 199.45/199.84 [9812]~P108(f330(f330(f332(x98123),x98126),x98125))+E(f330(f330(f312(x98121),x98122),f330(f313(x98123,x98121,x98124),f330(f330(f23(f935(x98123,a923)),x98125),f330(f330(f312(x98123),x98126),f191(f935(x98123,a923)))))),f330(f313(x98123,x98121,f76(x98123,x98121,x98124,x98126,x98122)),x98125)) % 199.45/199.84 [9323]~P108(f330(f330(x93234,x93235),x93236))+P108(f330(f330(f330(f330(f113(f935(x93231,f935(x93232,a923))),x93233),x93234),x93235),x93236)) % 199.45/199.84 [9325]~P108(f330(f330(x93253,x93255),x93256))+P108(f330(f330(f330(f330(f113(f935(x93251,f935(x93252,a923))),x93253),x93254),x93255),x93256)) % 199.45/199.84 [9612]P108(f330(f330(x96121,x96122),x96123))+~P108(f330(f330(f330(f330(f104(f935(x96124,f935(x96125,a923))),x96126),x96121),x96122),x96123)) % 199.45/199.84 [9613]P108(f330(f330(x96131,x96132),x96133))+~P108(f330(f330(f330(f330(f104(f935(x96134,f935(x96135,a923))),x96131),x96136),x96132),x96133)) % 199.45/199.84 [10046]~P72(x100462)+E(f330(f330(f9(x100461,x100462),f330(f330(f7(x100461,f935(x100463,a923),x100462),f330(f330(f8(f935(x100463,x100462),f935(f935(x100463,a923),x100462),x100461),f9(x100463,x100462)),x100464)),x100465)),x100466),f330(f330(f9(f934(x100461,x100463),x100462),f330(f260(x100461,x100463,x100462),x100464)),f330(f330(f257(x100461,x100463),x100466),f330(f16(f935(x100463,a923),x100461),x100465)))) % 199.45/199.84 [10047]~P76(x100472)+E(f330(f330(f6(x100471,x100472),f330(f330(f7(x100471,f935(x100473,a923),x100472),f330(f330(f8(f935(x100473,x100472),f935(f935(x100473,a923),x100472),x100471),f6(x100473,x100472)),x100474)),x100475)),x100476),f330(f330(f6(f934(x100471,x100473),x100472),f330(f260(x100471,x100473,x100472),x100474)),f330(f330(f257(x100471,x100473),x100476),f330(f16(f935(x100473,a923),x100471),x100475)))) % 199.45/199.84 [10180]~P76(x101802)+E(f330(f330(f6(x101801,x101802),f330(f330(f7(x101801,f935(x101803,a923),x101802),f330(f330(f8(f935(x101803,x101802),f935(f935(x101803,a923),x101802),x101801),f6(x101803,x101802)),f330(f7(x101803,x101801,x101802),x101804))),x101805)),x101806),f330(f330(f6(x101803,x101802),f330(f330(f7(x101803,f935(x101801,a923),x101802),f330(f330(f8(f935(x101801,x101802),f935(f935(x101801,a923),x101802),x101803),f6(x101801,x101802)),x101804)),x101806)),x101805)) % 199.45/199.84 [10488]~P108(f330(f330(f332(f934(x104881,x104882)),f330(f330(f255(x104881,x104882),x104885),x104886)),f330(f330(f104(f935(f934(x104881,x104882),a923)),x104883),x104884)))+P108(f330(f330(f330(f330(f104(f935(x104881,f935(x104882,a923))),f330(f330(f7(x104881,f935(f934(x104881,x104882),a923),f935(x104882,a923)),f330(f330(f8(f935(x104882,f935(f935(f934(x104881,x104882),a923),a923)),f935(f935(f934(x104881,x104882),a923),f935(x104882,a923)),x104881),f7(x104882,f935(f934(x104881,x104882),a923),a923)),f330(f330(f8(f935(x104882,f934(x104881,x104882)),f935(x104882,f935(f935(f934(x104881,x104882),a923),a923)),x104881),f330(f8(f934(x104881,x104882),f935(f935(f934(x104881,x104882),a923),a923),x104882),f332(f934(x104881,x104882)))),f255(x104881,x104882)))),x104883)),f330(f330(f7(x104881,f935(f934(x104881,x104882),a923),f935(x104882,a923)),f330(f330(f8(f935(x104882,f935(f935(f934(x104881,x104882),a923),a923)),f935(f935(f934(x104881,x104882),a923),f935(x104882,a923)),x104881),f7(x104882,f935(f934(x104881,x104882),a923),a923)),f330(f330(f8(f935(x104882,f934(x104881,x104882)),f935(x104882,f935(f935(f934(x104881,x104882),a923),a923)),x104881),f330(f8(f934(x104881,x104882),f935(f935(f934(x104881,x104882),a923),a923),x104882),f332(f934(x104881,x104882)))),f255(x104881,x104882)))),x104884)),x104885),x104886)) % 199.45/199.84 [10489]~P108(f330(f330(f332(f934(x104891,x104892)),f330(f330(f255(x104891,x104892),x104895),x104896)),f330(f330(f113(f935(f934(x104891,x104892),a923)),x104893),x104894)))+P108(f330(f330(f330(f330(f113(f935(x104891,f935(x104892,a923))),f330(f330(f7(x104891,f935(f934(x104891,x104892),a923),f935(x104892,a923)),f330(f330(f8(f935(x104892,f935(f935(f934(x104891,x104892),a923),a923)),f935(f935(f934(x104891,x104892),a923),f935(x104892,a923)),x104891),f7(x104892,f935(f934(x104891,x104892),a923),a923)),f330(f330(f8(f935(x104892,f934(x104891,x104892)),f935(x104892,f935(f935(f934(x104891,x104892),a923),a923)),x104891),f330(f8(f934(x104891,x104892),f935(f935(f934(x104891,x104892),a923),a923),x104892),f332(f934(x104891,x104892)))),f255(x104891,x104892)))),x104893)),f330(f330(f7(x104891,f935(f934(x104891,x104892),a923),f935(x104892,a923)),f330(f330(f8(f935(x104892,f935(f935(f934(x104891,x104892),a923),a923)),f935(f935(f934(x104891,x104892),a923),f935(x104892,a923)),x104891),f7(x104892,f935(f934(x104891,x104892),a923),a923)),f330(f330(f8(f935(x104892,f934(x104891,x104892)),f935(x104892,f935(f935(f934(x104891,x104892),a923),a923)),x104891),f330(f8(f934(x104891,x104892),f935(f935(f934(x104891,x104892),a923),a923),x104892),f332(f934(x104891,x104892)))),f255(x104891,x104892)))),x104894)),x104895),x104896)) % 199.45/199.84 [10498]P108(f330(f330(f332(f934(x104981,x104982)),f330(f330(f255(x104981,x104982),x104983),x104984)),f330(f330(f104(f935(f934(x104981,x104982),a923)),x104985),x104986)))+~P108(f330(f330(f330(f330(f104(f935(x104981,f935(x104982,a923))),f330(f330(f7(x104981,f935(f934(x104981,x104982),a923),f935(x104982,a923)),f330(f330(f8(f935(x104982,f935(f935(f934(x104981,x104982),a923),a923)),f935(f935(f934(x104981,x104982),a923),f935(x104982,a923)),x104981),f7(x104982,f935(f934(x104981,x104982),a923),a923)),f330(f330(f8(f935(x104982,f934(x104981,x104982)),f935(x104982,f935(f935(f934(x104981,x104982),a923),a923)),x104981),f330(f8(f934(x104981,x104982),f935(f935(f934(x104981,x104982),a923),a923),x104982),f332(f934(x104981,x104982)))),f255(x104981,x104982)))),x104985)),f330(f330(f7(x104981,f935(f934(x104981,x104982),a923),f935(x104982,a923)),f330(f330(f8(f935(x104982,f935(f935(f934(x104981,x104982),a923),a923)),f935(f935(f934(x104981,x104982),a923),f935(x104982,a923)),x104981),f7(x104982,f935(f934(x104981,x104982),a923),a923)),f330(f330(f8(f935(x104982,f934(x104981,x104982)),f935(x104982,f935(f935(f934(x104981,x104982),a923),a923)),x104981),f330(f8(f934(x104981,x104982),f935(f935(f934(x104981,x104982),a923),a923),x104982),f332(f934(x104981,x104982)))),f255(x104981,x104982)))),x104986)),x104983),x104984)) % 199.45/199.84 [10499]P108(f330(f330(f332(f934(x104991,x104992)),f330(f330(f255(x104991,x104992),x104993),x104994)),f330(f330(f113(f935(f934(x104991,x104992),a923)),x104995),x104996)))+~P108(f330(f330(f330(f330(f113(f935(x104991,f935(x104992,a923))),f330(f330(f7(x104991,f935(f934(x104991,x104992),a923),f935(x104992,a923)),f330(f330(f8(f935(x104992,f935(f935(f934(x104991,x104992),a923),a923)),f935(f935(f934(x104991,x104992),a923),f935(x104992,a923)),x104991),f7(x104992,f935(f934(x104991,x104992),a923),a923)),f330(f330(f8(f935(x104992,f934(x104991,x104992)),f935(x104992,f935(f935(f934(x104991,x104992),a923),a923)),x104991),f330(f8(f934(x104991,x104992),f935(f935(f934(x104991,x104992),a923),a923),x104992),f332(f934(x104991,x104992)))),f255(x104991,x104992)))),x104995)),f330(f330(f7(x104991,f935(f934(x104991,x104992),a923),f935(x104992,a923)),f330(f330(f8(f935(x104992,f935(f935(f934(x104991,x104992),a923),a923)),f935(f935(f934(x104991,x104992),a923),f935(x104992,a923)),x104991),f7(x104992,f935(f934(x104991,x104992),a923),a923)),f330(f330(f8(f935(x104992,f934(x104991,x104992)),f935(x104992,f935(f935(f934(x104991,x104992),a923),a923)),x104991),f330(f8(f934(x104991,x104992),f935(f935(f934(x104991,x104992),a923),a923),x104992),f332(f934(x104991,x104992)))),f255(x104991,x104992)))),x104996)),x104993),x104994)) % 199.45/199.84 [10482]~P108(f330(f330(f332(f934(x104822,x104823)),f330(f330(f255(x104822,x104823),x104825),x104826)),f330(f330(f40(x104821,f935(f934(x104822,x104823),a923)),f245(f935(x104821,a923))),x104824)))+P108(f330(f330(f330(f330(f40(x104821,f935(x104822,f935(x104823,a923))),f245(f935(x104821,a923))),f330(f330(f8(f935(f934(x104822,x104823),a923),f935(x104822,f935(x104823,a923)),x104821),f330(f7(x104822,f935(f934(x104822,x104823),a923),f935(x104823,a923)),f330(f330(f8(f935(x104823,f935(f935(f934(x104822,x104823),a923),a923)),f935(f935(f934(x104822,x104823),a923),f935(x104823,a923)),x104822),f7(x104823,f935(f934(x104822,x104823),a923),a923)),f330(f330(f8(f935(x104823,f934(x104822,x104823)),f935(x104823,f935(f935(f934(x104822,x104823),a923),a923)),x104822),f330(f8(f934(x104822,x104823),f935(f935(f934(x104822,x104823),a923),a923),x104823),f332(f934(x104822,x104823)))),f255(x104822,x104823))))),x104824)),x104825),x104826)) % 199.45/199.84 [10483]~P108(f330(f330(f332(f934(x104832,x104833)),f330(f330(f255(x104832,x104833),x104835),x104836)),f330(f330(f41(x104831,f935(f934(x104832,x104833),a923)),f245(f935(x104831,a923))),x104834)))+P108(f330(f330(f330(f330(f41(x104831,f935(x104832,f935(x104833,a923))),f245(f935(x104831,a923))),f330(f330(f8(f935(f934(x104832,x104833),a923),f935(x104832,f935(x104833,a923)),x104831),f330(f7(x104832,f935(f934(x104832,x104833),a923),f935(x104833,a923)),f330(f330(f8(f935(x104833,f935(f935(f934(x104832,x104833),a923),a923)),f935(f935(f934(x104832,x104833),a923),f935(x104833,a923)),x104832),f7(x104833,f935(f934(x104832,x104833),a923),a923)),f330(f330(f8(f935(x104833,f934(x104832,x104833)),f935(x104833,f935(f935(f934(x104832,x104833),a923),a923)),x104832),f330(f8(f934(x104832,x104833),f935(f935(f934(x104832,x104833),a923),a923),x104833),f332(f934(x104832,x104833)))),f255(x104832,x104833))))),x104834)),x104835),x104836)) % 199.45/199.84 [10492]P108(f330(f330(f332(f934(x104921,x104922)),f330(f330(f255(x104921,x104922),x104923),x104924)),f330(f330(f40(x104925,f935(f934(x104921,x104922),a923)),f245(f935(x104925,a923))),x104926)))+~P108(f330(f330(f330(f330(f40(x104925,f935(x104921,f935(x104922,a923))),f245(f935(x104925,a923))),f330(f330(f8(f935(f934(x104921,x104922),a923),f935(x104921,f935(x104922,a923)),x104925),f330(f7(x104921,f935(f934(x104921,x104922),a923),f935(x104922,a923)),f330(f330(f8(f935(x104922,f935(f935(f934(x104921,x104922),a923),a923)),f935(f935(f934(x104921,x104922),a923),f935(x104922,a923)),x104921),f7(x104922,f935(f934(x104921,x104922),a923),a923)),f330(f330(f8(f935(x104922,f934(x104921,x104922)),f935(x104922,f935(f935(f934(x104921,x104922),a923),a923)),x104921),f330(f8(f934(x104921,x104922),f935(f935(f934(x104921,x104922),a923),a923),x104922),f332(f934(x104921,x104922)))),f255(x104921,x104922))))),x104926)),x104923),x104924)) % 199.45/199.84 [10493]P108(f330(f330(f332(f934(x104931,x104932)),f330(f330(f255(x104931,x104932),x104933),x104934)),f330(f330(f41(x104935,f935(f934(x104931,x104932),a923)),f245(f935(x104935,a923))),x104936)))+~P108(f330(f330(f330(f330(f41(x104935,f935(x104931,f935(x104932,a923))),f245(f935(x104935,a923))),f330(f330(f8(f935(f934(x104931,x104932),a923),f935(x104931,f935(x104932,a923)),x104935),f330(f7(x104931,f935(f934(x104931,x104932),a923),f935(x104932,a923)),f330(f330(f8(f935(x104932,f935(f935(f934(x104931,x104932),a923),a923)),f935(f935(f934(x104931,x104932),a923),f935(x104932,a923)),x104931),f7(x104932,f935(f934(x104931,x104932),a923),a923)),f330(f330(f8(f935(x104932,f934(x104931,x104932)),f935(x104932,f935(f935(f934(x104931,x104932),a923),a923)),x104931),f330(f8(f934(x104931,x104932),f935(f935(f934(x104931,x104932),a923),a923),x104932),f332(f934(x104931,x104932)))),f255(x104931,x104932))))),x104936)),x104933),x104934)) % 199.45/199.84 [7702]E(f330(x77021,f330(x77022,x77023)),f330(x77024,x77023))+~E(f330(f74(x77025,x77026,x77027,x77021),x77022),x77024) % 199.45/199.84 [9828]E(x98281,x98282)+E(f76(x98283,x98284,f76(x98283,x98284,x98285,x98281,x98286),x98282,x98287),f76(x98283,x98284,f76(x98283,x98284,x98285,x98282,x98287),x98281,x98286)) % 199.45/199.84 [9919]~P22(x99193,x99194,x99191,x99195,x99196,x99197)+E(f330(f330(x99191,x99192),x99192),x99192) % 199.45/199.84 [6269]~E(f330(f330(f157(x62691,x62695),x62696),x62692),f330(f330(f157(x62693,x62695),x62697),x62694))+E(f330(f192(f929(x62691)),x62692),f330(f192(f929(x62693)),x62694)) % 199.45/199.84 [8723]E(f330(x87231,f330(x87232,x87233)),f330(x87234,x87233))+~E(f330(f74(x87235,x87236,x87237,x87231),x87232),f330(f74(x87236,x87236,x87237,f33(x87236)),x87234)) % 199.45/199.84 [9076]~P36(x90764,x90765,x90761,f330(f330(f154(x90764),x90762),x90766),f330(f330(f154(x90765),x90763),x90767))+P108(f330(f330(x90761,x90762),x90763)) % 199.45/199.84 [9457]P36(x94571,x94572,x94573,x94574,x94575)+~P36(x94571,x94572,x94573,f330(f330(f154(x94571),x94576),x94574),f330(f330(f154(x94572),x94577),x94575)) % 199.45/199.84 [10080]P108(f330(f330(x100801,x100802),f527(x100803,x100802,x100804,x100801)))+~P108(f330(f330(f256(x100805,x100806,x100807,x100801,x100804),x100802),x100803)) % 199.45/199.84 [10104]P108(f330(f330(x101041,f527(x101042,x101043,x101041,x101044)),x101042))+~P108(f330(f330(f256(x101045,x101046,x101047,x101044,x101041),x101043),x101042)) % 199.45/199.84 [6315]E(x63151,x63152)+~E(f330(f330(f330(f93(x63153),x63154),x63155),x63151),f330(f330(f330(f93(x63153),x63156),x63157),x63152)) % 199.45/199.84 [6316]E(x63161,x63162)+~E(f330(f330(f330(f93(x63163),x63164),x63161),x63165),f330(f330(f330(f93(x63163),x63166),x63162),x63167)) % 199.45/199.84 [6317]E(x63171,x63172)+~E(f330(f330(f330(f93(x63173),x63171),x63174),x63175),f330(f330(f330(f93(x63173),x63172),x63176),x63177)) % 199.45/199.84 [9198]~P20(x91986,x91981,x91983,x91987)+E(f330(f74(x91981,x91981,x91982,f330(x91983,x91984)),f330(f74(x91981,x91981,x91982,f330(x91983,x91984)),x91985)),f330(f74(x91981,x91981,x91982,f330(x91983,x91984)),x91985)) % 199.45/199.84 [9565]~P36(x95653,x95652,x95654,f330(f330(f157(x95651,x95653),x95655),x95656),x95657)+P36(x95651,x95652,f330(f330(f8(x95653,f935(x95652,a923),x95651),x95654),x95655),x95656,x95657) % 199.45/199.84 [9588]P36(x95881,x95882,x95883,f330(f330(f157(x95884,x95881),x95885),x95886),x95887)+~P36(x95884,x95882,f330(f330(f8(x95881,f935(x95882,a923),x95884),x95883),x95885),x95886,x95887) % 199.45/199.84 [9197]~P108(f330(f330(f332(x91971),x91972),f330(f330(x91975,x91976),x91977)))+P108(f330(f330(f332(x91971),x91972),f330(f330(f260(x91973,x91974,f935(x91971,a923)),x91975),f330(f330(f255(x91973,x91974),x91976),x91977)))) % 199.45/199.84 [9482]P108(f330(f330(f330(x94821,x94822),x94823),x94824))+~P108(f330(f330(f330(f260(x94825,x94826,f935(x94827,a923)),x94821),f330(f330(f255(x94825,x94826),x94822),x94823)),x94824)) % 199.45/199.84 [9627]P108(f330(f330(f332(x96271),f330(f330(x96272,x96273),x96274)),f330(f313(f934(x96275,x96276),x96271,f330(f260(x96275,x96276,x96271),x96272)),x96277)))+~P108(f330(f330(f332(f934(x96275,x96276)),f330(f330(f255(x96275,x96276),x96273),x96274)),x96277)) % 199.45/199.84 [9966]P108(f330(f330(f332(f934(f929(x99661),f929(x99661))),f330(f330(f255(f929(x99661),f929(x99661)),f330(f330(f137(x99661),x99662),f330(f330(f154(x99661),x99663),x99664))),f330(f330(f137(x99661),x99662),f330(f330(f154(x99661),x99665),x99666)))),f150(x99661,x99667)))+~P108(f330(f330(f332(f934(x99661,x99661)),f330(f330(f255(x99661,x99661),x99663),x99665)),x99667)) % 199.45/199.84 [10031]~P36(x100311,x100313,x100314,x100316,f330(f330(f157(x100312,x100313),x100315),x100317))+P36(x100311,x100312,f330(f330(f7(x100311,f935(x100312,x100313),f935(x100312,a923)),f330(f330(f8(f935(x100313,a923),f935(f935(x100312,x100313),f935(x100312,a923)),x100311),f8(x100313,a923,x100312)),x100314)),x100315),x100316,x100317) % 199.45/199.84 [10108]P36(x101081,x101082,x101083,x101084,f330(f330(f157(x101085,x101082),x101086),x101087))+~P36(x101081,x101085,f330(f330(f7(x101081,f935(x101085,x101082),f935(x101085,a923)),f330(f330(f8(f935(x101082,a923),f935(f935(x101085,x101082),f935(x101085,a923)),x101081),f8(x101082,a923,x101085)),x101083)),x101086),x101084,x101087) % 199.45/199.84 [10407]P108(f330(f330(f332(x104071),f515(x104072,x104073,x104074,x104075,x104076,x104077,x104071)),x104075))+P108(f330(f330(f330(f330(f41(x104071,f935(x104077,f935(x104076,a923))),x104075),x104074),x104073),x104072)) % 199.45/199.84 [10408]P108(f330(f330(f332(x104081),f797(x104082,x104083,x104084,x104085,x104086,x104087,x104081)),x104087))+P108(f330(f330(f330(f330(f41(x104081,f935(x104083,f935(x104082,a923))),x104087),x104086),x104085),x104084)) % 199.45/199.84 [10409]P108(f330(f330(f332(x104091),f916(x104092,x104093,x104094,x104095,x104096,x104097,x104091)),x104095))+~P108(f330(f330(f330(f330(f40(x104091,f935(x104097,f935(x104096,a923))),x104095),x104094),x104093),x104092)) % 199.45/199.84 [10410]P108(f330(f330(f332(x104101),f798(x104102,x104103,x104104,x104105,x104106,x104107,x104101)),x104105))+~P108(f330(f330(f330(f330(f40(x104101,f935(x104107,f935(x104106,a923))),x104105),x104104),x104103),x104102)) % 199.45/199.84 [10445]P108(f330(f330(f330(x104451,f916(x104452,x104453,x104451,x104454,x104455,x104456,x104457)),x104453),x104452))+~P108(f330(f330(f330(f330(f40(x104457,f935(x104456,f935(x104455,a923))),x104454),x104451),x104453),x104452)) % 199.45/199.84 [10446]P108(f330(f330(f330(x104461,f798(x104462,x104463,x104461,x104464,x104465,x104466,x104467)),x104463),x104462))+~P108(f330(f330(f330(f330(f40(x104467,f935(x104466,f935(x104465,a923))),x104464),x104461),x104463),x104462)) % 199.45/199.84 [10463]~P108(f330(f330(f330(x104635,f515(x104637,x104636,x104635,x104634,x104633,x104632,x104631)),x104636),x104637))+P108(f330(f330(f330(f330(f41(x104631,f935(x104632,f935(x104633,a923))),x104634),x104635),x104636),x104637)) % 199.45/199.84 [10464]~P108(f330(f330(f330(x104645,f797(x104643,x104642,x104647,x104646,x104645,x104644,x104641)),x104646),x104647))+P108(f330(f330(f330(f330(f41(x104641,f935(x104642,f935(x104643,a923))),x104644),x104645),x104646),x104647)) % 199.45/199.84 [10481]~P108(f330(f330(f332(f934(x104811,x104813)),f330(f330(f255(x104811,x104813),x104816),x104817)),f330(f330(f292(x104811,x104812,x104813),x104814),x104815)))+P108(f330(f330(f256(x104811,x104812,x104813,f330(f330(f7(x104811,f935(f934(x104811,x104812),a923),f935(x104812,a923)),f330(f330(f8(f935(x104812,f935(f935(f934(x104811,x104812),a923),a923)),f935(f935(f934(x104811,x104812),a923),f935(x104812,a923)),x104811),f7(x104812,f935(f934(x104811,x104812),a923),a923)),f330(f330(f8(f935(x104812,f934(x104811,x104812)),f935(x104812,f935(f935(f934(x104811,x104812),a923),a923)),x104811),f330(f8(f934(x104811,x104812),f935(f935(f934(x104811,x104812),a923),a923),x104812),f332(f934(x104811,x104812)))),f255(x104811,x104812)))),x104814),f330(f330(f7(x104812,f935(f934(x104812,x104813),a923),f935(x104813,a923)),f330(f330(f8(f935(x104813,f935(f935(f934(x104812,x104813),a923),a923)),f935(f935(f934(x104812,x104813),a923),f935(x104813,a923)),x104812),f7(x104813,f935(f934(x104812,x104813),a923),a923)),f330(f330(f8(f935(x104813,f934(x104812,x104813)),f935(x104813,f935(f935(f934(x104812,x104813),a923),a923)),x104812),f330(f8(f934(x104812,x104813),f935(f935(f934(x104812,x104813),a923),a923),x104813),f332(f934(x104812,x104813)))),f255(x104812,x104813)))),x104815)),x104816),x104817)) % 199.45/199.84 [10491]P108(f330(f330(f332(f934(x104911,x104912)),f330(f330(f255(x104911,x104912),x104913),x104914)),f330(f330(f292(x104911,x104915,x104912),x104916),x104917)))+~P108(f330(f330(f256(x104911,x104915,x104912,f330(f330(f7(x104911,f935(f934(x104911,x104915),a923),f935(x104915,a923)),f330(f330(f8(f935(x104915,f935(f935(f934(x104911,x104915),a923),a923)),f935(f935(f934(x104911,x104915),a923),f935(x104915,a923)),x104911),f7(x104915,f935(f934(x104911,x104915),a923),a923)),f330(f330(f8(f935(x104915,f934(x104911,x104915)),f935(x104915,f935(f935(f934(x104911,x104915),a923),a923)),x104911),f330(f8(f934(x104911,x104915),f935(f935(f934(x104911,x104915),a923),a923),x104915),f332(f934(x104911,x104915)))),f255(x104911,x104915)))),x104916),f330(f330(f7(x104915,f935(f934(x104915,x104912),a923),f935(x104912,a923)),f330(f330(f8(f935(x104912,f935(f935(f934(x104915,x104912),a923),a923)),f935(f935(f934(x104915,x104912),a923),f935(x104912,a923)),x104915),f7(x104912,f935(f934(x104915,x104912),a923),a923)),f330(f330(f8(f935(x104912,f934(x104915,x104912)),f935(x104912,f935(f935(f934(x104915,x104912),a923),a923)),x104915),f330(f8(f934(x104915,x104912),f935(f935(f934(x104915,x104912),a923),a923),x104912),f332(f934(x104915,x104912)))),f255(x104915,x104912)))),x104917)),x104913),x104914)) % 199.45/199.84 [10419]~P149(x104192)+E(f330(f330(f6(x104191,x104192),f330(f330(f7(x104191,f935(x104193,a923),x104192),f330(f330(f8(f935(x104193,x104192),f935(f935(x104193,a923),x104192),x104191),f6(x104193,x104192)),f330(f330(f7(x104191,f935(x104193,x104192),f935(x104193,x104192)),f330(f330(f8(f935(x104192,x104192),f935(f935(x104193,x104192),f935(x104193,x104192)),x104191),f8(x104192,x104192,x104193)),f330(f330(f8(x104192,f935(x104192,x104192),x104191),f83(x104192)),x104194))),x104195))),x104196)),x104197),f330(f330(f83(x104192),f330(f330(f6(x104191,x104192),x104194),x104197)),f330(f330(f6(x104193,x104192),x104195),x104196))) % 199.45/199.84 [9514]~P19(x95147,x95141,x95143,x95148)+E(f330(f74(x95141,x95141,x95142,f330(x95143,x95144)),f330(f74(x95141,x95141,x95142,f330(x95143,x95145)),x95146)),f330(f74(x95141,x95141,x95142,f330(x95143,x95145)),f330(f74(x95141,x95141,x95142,f330(x95143,x95144)),x95146))) % 199.45/199.84 [10486]E(f330(f330(f255(x104861,x104862),f330(x104863,f563(x104864,x104865,x104863,x104866,x104867,x104868,x104862,x104861))),f330(x104865,f564(x104864,x104865,x104863,x104866,x104867,x104868,x104862,x104861))),x104868)+~P108(f330(f330(f332(f934(x104861,x104862)),x104868),f330(f313(f934(x104867,x104866),f934(x104861,x104862),f261(x104867,x104861,x104866,x104862,x104863,x104865)),x104864))) % 199.45/199.84 [10504]~P108(f330(f330(f332(f934(x105048,x105047)),x105046),f330(f313(f934(x105041,x105042),f934(x105048,x105047),f261(x105041,x105048,x105042,x105047,x105045,x105044)),x105043)))+P108(f330(f330(f332(f934(x105041,x105042)),f330(f330(f255(x105041,x105042),f563(x105043,x105044,x105045,x105042,x105041,x105046,x105047,x105048)),f564(x105043,x105044,x105045,x105042,x105041,x105046,x105047,x105048))),x105043)) % 199.45/199.84 [9956]P108(f330(f330(f332(f934(f934(x99561,x99562),f934(x99561,x99562))),f330(f330(f255(f934(x99561,x99562),f934(x99561,x99562)),f330(f330(f255(x99561,x99562),x99563),x99564)),f330(f330(f255(x99561,x99562),x99565),x99566))),f322(x99561,x99562,x99567,x99568)))+~P108(f330(f330(f332(f934(x99561,x99561)),f330(f330(f255(x99561,x99561),x99563),x99565)),x99567)) % 199.45/199.84 [10475]E(f330(f145(x104751,x104752,f330(f7(x104752,x104751,x104751),x104753),f330(x104754,x104755)),x104756),f330(x104754,f330(f145(x104757,x104752,f330(f7(x104752,x104757,x104757),x104758),x104755),x104756)))+P108(f330(f330(f332(x104752),f743(x104755,x104758,x104754,x104753,x104757,x104751,x104756,x104752)),f330(f175(x104752),x104756))) % 199.45/199.84 [10494]~E(f330(f74(x104941,x104941,x104947,f330(x104943,f743(x104945,x104948,x104944,x104943,x104947,x104941,x104946,x104942))),x104944),f330(f74(x104947,x104941,x104947,x104944),f330(x104948,f743(x104945,x104948,x104944,x104943,x104947,x104941,x104946,x104942))))+E(f330(f145(x104941,x104942,f330(f7(x104942,x104941,x104941),x104943),f330(x104944,x104945)),x104946),f330(x104944,f330(f145(x104947,x104942,f330(f7(x104942,x104947,x104947),x104948),x104945),x104946))) % 199.45/199.84 [8728]E(f330(x87281,f330(x87282,x87283)),f330(x87284,f330(x87285,x87283)))+~E(f330(f74(x87286,x87287,x87288,x87281),x87282),f330(f74(x87289,x87287,x87288,x87284),x87285)) % 199.45/199.84 [10331]P108(f330(f330(f332(f934(x103311,x103312)),f330(f330(f255(x103311,x103312),f330(x103313,x103314)),f330(x103315,x103316))),f330(f313(f934(x103317,x103318),f934(x103311,x103312),f261(x103317,x103311,x103318,x103312,x103313,x103315)),x103319)))+~P108(f330(f330(f332(f934(x103317,x103318)),f330(f330(f255(x103317,x103318),x103314),x103316)),x103319)) % 199.45/199.84 [9022]~E(f330(x90224,f330(x90225,x90226)),f330(x90229,f330(x902210,x902211)))+E(f330(f330(f74(x90221,x90222,x90223,x90224),x90225),x90226),f330(f330(f74(x90227,x90222,x90228,x90229),x902210),x902211)) % 199.45/199.84 [4838]~P110(x48381)+~P104(x48381)+E(f236(x48381),f104(x48381)) % 199.45/199.84 [4839]~P110(x48391)+~P105(x48391)+E(f237(x48391),f113(x48391)) % 199.45/199.84 [5090]~P121(x50901)+~P95(x50901)+E(f330(f77(x50901),f330(f106(x50901),a100)),f80(x50901)) % 199.45/199.84 [5376]E(x53761,f2(a1))+E(f84(a1,x53761),f330(f81(a1),f80(a1)))+P108(f330(f330(f239(a1),f2(a1)),x53761)) % 199.45/199.84 [5585]E(x55851,f2(a1))+E(f84(a1,x55851),f80(a1))+~P108(f330(f330(f239(a1),f2(a1)),x55851)) % 199.45/199.84 [7603]~P42(x76031)+P108(f330(f62(a1),x76031))+~P108(f330(f62(a928),f330(f313(a1,a928,a107),x76031))) % 199.45/199.84 [9918]E(x99181,f191(f935(f934(a928,a928),a923)))+~P108(f330(f62(f934(a928,a928)),x99181))+P108(f330(f330(f332(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),f330(f330(f255(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),f191(f935(f934(a928,a928),a923))),x99181)),a35)) % 199.45/199.84 [10081]E(x100811,f2(a928))+E(x100811,f330(a115,f2(a928)))+~P108(f330(f330(f239(a928),x100811),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 199.45/199.84 [10363]E(x103631,f2(a102))+E(f330(f330(f82(a1),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(a22,f330(f330(f37(a102),x103631),f330(f106(a102),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))))),f80(a1)),f330(a22,x103631))+E(f46(a102,x103631,f330(f106(a102),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f2(a102)) % 199.45/199.84 [10210]E(x102101,f2(a102))+~E(f46(a102,x102101,f330(f106(a102),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f2(a102))+E(f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(a22,f330(f330(f37(a102),x102101),f330(f106(a102),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))),f330(a22,x102101)) % 199.45/199.84 [4919]~P60(x49191,x49192)+P46(x49191,x49192)+~P47(a923) % 199.45/199.84 [4848]~P148(x48481)+P29(x48481,x48482)+~E(x48482,f2(x48481)) % 199.45/199.84 [4849]~P110(x48491)+P13(x48491,x48492)+~E(x48492,f116(x48491)) % 199.45/199.84 [4858]~P121(x48581)+~E(x48582,f2(x48581))+E(f84(x48581,x48582),f2(x48581)) % 199.45/199.84 [4859]~P91(x48591)+~E(x48592,f2(x48591))+E(f84(x48591,x48592),f2(x48591)) % 199.45/199.84 [4867]~P148(x48672)+~P29(x48672,x48671)+E(x48671,f2(x48672)) % 199.45/199.84 [4912]~P121(x49122)+~E(f84(x49122,x49121),f2(x49122))+E(x49121,f2(x49122)) % 199.45/199.84 [4926]~P4(x49262)+~P4(x49261)+P4(f935(x49261,x49262)) % 199.45/199.84 [4927]~P4(x49272)+~P4(x49271)+P4(f934(x49271,x49272)) % 199.45/199.84 [4928]~P4(x49282)+~P4(x49281)+P4(f936(x49281,x49282)) % 199.45/199.84 [4929]~P6(x49292)+~P6(x49291)+P6(f197(x49291,x49292)) % 199.45/199.84 [4930]~P65(x49302)+~P65(x49301)+P65(f935(x49301,x49302)) % 199.45/199.84 [4931]~P65(x49312)+~P65(x49311)+P65(f934(x49311,x49312)) % 199.45/199.84 [4932]~P65(x49322)+~P65(x49321)+P65(f936(x49321,x49322)) % 199.45/199.84 [4933]~P106(x49332)+~P106(x49331)+P106(f934(x49331,x49332)) % 199.45/199.84 [5062]~P110(x50621)+~P13(x50621,x50622)+P13(x50621,f155(x50621,x50622)) % 199.45/199.84 [5304]~P6(x53042)+~P6(x53041)+P6(f46(a1,x53041,x53042)) % 199.45/199.84 [4869]~P78(x48691)+~E(x48692,f2(x48691))+E(f330(f81(x48691),x48692),x48692) % 199.45/199.84 [4884]~P93(x48841)+~E(x48842,f2(a1))+E(f330(f105(x48841),x48842),f2(x48841)) % 199.45/199.84 [4885]~P145(x48851)+~E(x48852,f2(a1))+E(f330(f105(x48851),x48852),f2(x48851)) % 199.45/199.84 [4909]~P77(x49091)+~E(f2(x49091),x49092)+E(f330(f81(x49091),x49092),f2(x49091)) % 199.45/199.84 [4910]~P86(x49101)+~E(x49102,f2(x49101))+E(f330(f77(x49101),x49102),f2(x49101)) % 199.45/199.84 [4911]~P77(x49111)+~E(x49112,f2(x49111))+E(f330(f81(x49111),x49112),f2(x49111)) % 199.45/199.84 [4935]~P78(x49352)+E(x49351,f2(x49352))+~E(f330(f81(x49352),x49351),x49351) % 199.45/199.84 [4943]E(x49431,f330(a107,x49432))+~E(x49431,f2(a928))+~E(x49432,f330(f103(a1),x49431)) % 199.45/199.84 [4944]E(f330(a107,x49441),x49442)+~E(x49442,f2(a928))+~E(x49441,f330(f103(a1),x49442)) % 199.45/199.84 [4948]~P93(x49482)+E(x49481,f2(a1))+~E(f330(f105(x49482),x49481),f2(x49482)) % 199.45/199.84 [4952]~P86(x49522)+E(x49521,f2(x49522))+~E(f330(f77(x49522),x49521),f2(x49522)) % 199.45/199.84 [4953]~P77(x49532)+E(x49531,f2(x49532))+~E(f330(f81(x49532),x49531),f2(x49532)) % 199.45/199.84 [4954]~P77(x49541)+E(f2(x49541),x49542)+~E(f330(f81(x49541),x49542),f2(x49541)) % 199.45/199.84 [5137]~P110(x51371)+~P13(x51371,x51372)+P13(x51371,f330(f174(x51371),x51372)) % 199.45/199.84 [5164]~P108(x51642)+~P108(x51641)+P108(f330(f330(a328,x51641),x51642)) % 199.45/199.84 [5198]~E(f80(a928),f2(a928))+E(f330(f36(x51981),x51982),f2(a928))+~P108(f330(f62(x51981),x51982)) % 199.45/199.84 [5234]~P117(x52341)+~P149(x52341)+E(f330(f330(f247(x52341),f2(x52341)),f330(a115,x52342)),f2(x52341)) % 199.45/199.84 [5272]~P110(x52721)+P13(x52721,f142(x52721,x52722))+~P108(f330(f62(x52721),x52722)) % 199.45/199.84 [5273]~P110(x52731)+P13(x52731,f736(x52732,x52731))+~P108(f330(f62(x52731),x52732)) % 199.45/199.84 [5296]~P110(x52961)+E(f330(f175(x52961),f142(x52961,x52962)),x52962)+~P108(f330(f62(x52961),x52962)) % 199.45/199.84 [5297]~P110(x52971)+E(f330(f175(x52971),f736(x52972,x52971)),x52972)+~P108(f330(f62(x52971),x52972)) % 199.45/199.84 [5326]P108(x53261)+P108(x53262)+~P108(f330(f330(a329,x53262),x53261)) % 199.45/199.84 [5339]E(x53391,f191(f935(x53392,a923)))+~E(f330(f36(x53392),x53391),f2(a928))+~P108(f330(f62(x53392),x53391)) % 199.45/199.84 [5344]P108(x53441)+~P108(x53442)+~P108(f330(f330(a333,x53442),x53441)) % 199.45/199.84 [5394]~P75(x53941)+E(f330(f77(x53941),x53942),x53942)+P108(f330(f330(f239(x53941),x53942),f2(x53941))) % 199.45/199.84 [5454]~P65(x54542)+~P108(f330(f57(x54542),x54541))+P108(f330(x54541,f737(x54541,x54542))) % 199.45/199.84 [5455]~P65(x54552)+~P108(f330(f57(x54552),x54551))+P108(f330(x54551,f744(x54551,x54552))) % 199.45/199.84 [5496]E(x54961,f116(x54962))+P108(f330(f140(x54962),f117(x54962,x54961)))+~P108(f330(f140(x54962),x54961)) % 199.45/199.84 [5501]~P110(x55011)+~P108(f330(f62(x55011),x55012))+P108(f330(f140(x55011),f142(x55011,x55012))) % 199.45/199.84 [5502]~P110(x55021)+~P108(f330(f62(x55021),x55022))+P108(f330(f140(x55021),f736(x55022,x55021))) % 199.45/199.84 [5507]~P145(x55071)+E(f330(f103(x55071),f330(a107,x55072)),f330(f105(x55071),x55072))+P108(f330(f330(f239(a1),x55072),f2(a1))) % 199.45/199.84 [5534]P7(x55342,x55341)+E(f330(x55341,f447(x55341)),f330(x55341,f516(x55341)))+P108(f330(f330(x55341,f447(x55341)),f516(x55341))) % 199.45/199.84 [5547]E(f330(f103(a1),f919(x55471,x55472)),x55471)+P108(f330(x55472,f330(a107,x55471)))+~P108(f330(x55472,f2(a928))) % 199.45/199.84 [5559]~P65(x55591)+~P108(f330(x55592,f750(x55592,x55591)))+P108(f330(f58(x55591),x55592)) % 199.45/199.84 [5560]~P65(x55601)+~P108(f330(x55602,f760(x55602,x55601)))+P108(f330(f58(x55601),x55602)) % 199.45/199.84 [5595]~P121(x55951)+~E(f84(x55951,x55952),f330(f81(x55951),f80(x55951)))+P108(f330(f330(f239(x55951),x55952),f2(x55951))) % 199.45/199.84 [5669]~E(x56692,f2(a1))+E(f219(x56691,x56692),f330(f330(f255(a1,a1),f2(a1)),f80(a1)))+P108(f330(f330(f239(a1),x56692),f2(a1))) % 199.45/199.84 [5670]~E(x56701,f2(a1))+E(f219(x56701,x56702),f330(f330(f255(a1,a1),f2(a1)),f80(a1)))+P108(f330(f330(f239(a1),x56702),f2(a1))) % 199.45/199.84 [5722]E(f330(f103(a1),f919(x57221,x57222)),x57221)+P108(f330(x57222,f330(a107,x57221)))+P108(f330(f330(f239(a1),x57221),f2(a1))) % 199.45/199.84 [5789]~P121(x57891)+E(f84(x57891,x57892),f330(f81(x57891),f80(x57891)))+~P108(f330(f330(f239(x57891),x57892),f2(x57891))) % 199.45/199.84 [5790]~P86(x57901)+E(f330(f77(x57901),x57902),f330(f81(x57901),x57902))+~P108(f330(f330(f238(x57901),x57902),f2(x57901))) % 199.45/199.84 [5791]~P86(x57911)+E(f330(f77(x57911),x57912),f330(f81(x57911),x57912))+~P108(f330(f330(f239(x57911),x57912),f2(x57911))) % 199.45/199.84 [5792]~P75(x57921)+E(f330(f77(x57921),x57922),f330(f81(x57921),x57922))+~P108(f330(f330(f239(x57921),x57922),f2(x57921))) % 199.45/199.84 [5892]~P108(f330(x58921,f919(x58922,x58921)))+P108(f330(x58921,f330(a107,x58922)))+~P108(f330(x58921,f2(a928))) % 199.45/199.84 [5899]E(x58991,f2(a928))+E(f330(a115,f831(x58992,x58991)),x58991)+~P108(f330(f330(f239(a928),x58991),f330(a115,x58992))) % 199.45/199.84 [5903]P7(x59031,x59032)+~E(f330(x59032,f447(x59032)),f330(x59032,f516(x59032)))+~P108(f330(f330(x59032,f447(x59032)),f516(x59032))) % 199.45/199.84 [5921]~P110(x59211)+P13(x59211,x59212)+P108(f330(f330(f238(a928),f719(x59212,x59211)),f720(x59212,x59211))) % 199.45/199.84 [5922]~P110(x59221)+P13(x59221,x59222)+P108(f330(f330(f238(a928),f727(x59222,x59221)),f731(x59222,x59221))) % 199.45/199.84 [6008]~P86(x60081)+~E(x60082,f2(x60081))+P108(f330(f330(f238(x60081),f330(f77(x60081),x60082)),f2(x60081))) % 199.45/199.84 [6096]~P108(f330(x60961,f919(x60962,x60961)))+P108(f330(x60961,f330(a107,x60962)))+P108(f330(f330(f239(a1),x60962),f2(a1))) % 199.45/199.84 [6121]~P108(f330(x61211,f330(a107,x61212)))+P108(f330(x61211,f2(a928)))+~P108(f330(f330(f239(a1),x61212),f2(a1))) % 199.45/199.84 [6468]~P121(x64681)+~P108(f330(f330(f239(x64681),x64682),f2(x64681)))+P108(f330(f330(f239(x64681),f84(x64681,x64682)),f2(x64681))) % 199.45/199.84 [6582]~P121(x65821)+P108(f330(f330(f238(x65821),f330(f105(x65821),x65822)),f2(x65821)))+~P108(f330(f330(f238(a1),x65822),f2(a1))) % 199.45/199.84 [6583]~P121(x65831)+P108(f330(f330(f239(x65831),f330(f105(x65831),x65832)),f2(x65831)))+~P108(f330(f330(f239(a1),x65832),f2(a1))) % 199.45/199.84 [6592]~P86(x65922)+E(x65921,f2(x65922))+~P108(f330(f330(f238(x65922),f330(f77(x65922),x65921)),f2(x65922))) % 199.45/199.84 [6669]~P145(x66691)+~P108(f330(f330(f332(x66691),x66692),f112(x66691)))+P108(f330(f330(f332(x66691),f330(f81(x66691),x66692)),f112(x66691))) % 199.45/199.84 [6702]~P121(x67021)+~P108(f330(f330(f239(x67021),f84(x67021,x67022)),f2(x67021)))+P108(f330(f330(f239(x67021),x67022),f2(x67021))) % 199.45/199.84 [6875]~P121(x68752)+~P108(f330(f330(f238(x68752),f330(f105(x68752),x68751)),f2(x68752)))+P108(f330(f330(f238(a1),x68751),f2(a1))) % 199.45/199.84 [6876]~P121(x68762)+~P108(f330(f330(f239(x68762),f330(f105(x68762),x68761)),f2(x68762)))+P108(f330(f330(f239(a1),x68761),f2(a1))) % 199.45/199.84 [7378]~P78(x73781)+~P108(f330(f330(f238(x73781),x73782),f2(x73781)))+P108(f330(f330(f238(x73781),f330(f330(f82(x73781),x73782),x73782)),f2(x73781))) % 199.45/199.84 [7380]~P121(x73801)+~P108(f330(f330(f239(x73801),x73802),f2(x73801)))+P108(f330(f330(f239(x73801),f330(f330(f82(x73801),x73802),x73802)),f2(x73801))) % 199.45/199.84 [7381]~P78(x73811)+~P108(f330(f330(f239(x73811),x73812),f2(x73811)))+P108(f330(f330(f239(x73811),f330(f330(f82(x73811),x73812),x73812)),f2(x73811))) % 199.45/199.84 [7947]~P78(x79471)+~P108(f330(f330(f238(x79471),f330(f330(f82(x79471),x79472),x79472)),f2(x79471)))+P108(f330(f330(f238(x79471),x79472),f2(x79471))) % 199.45/199.84 [7948]~P121(x79481)+~P108(f330(f330(f239(x79481),f330(f330(f82(x79481),x79482),x79482)),f2(x79481)))+P108(f330(f330(f239(x79481),x79482),f2(x79481))) % 199.45/199.84 [7949]~P78(x79491)+~P108(f330(f330(f239(x79491),f330(f330(f82(x79491),x79492),x79492)),f2(x79491)))+P108(f330(f330(f239(x79491),x79492),f2(x79491))) % 199.45/199.84 [4989]~E(x49892,f80(a928))+~E(x49891,f80(a928))+E(f330(f330(f83(a928),x49891),x49892),f80(a928)) % 199.45/199.84 [4990]~E(x49902,f80(a1))+~E(x49901,f80(a1))+E(f330(f330(f83(a1),x49901),x49902),f80(a1)) % 199.45/199.84 [4991]~E(x49912,f2(a928))+~E(x49911,f2(a928))+E(f330(f330(f82(a928),x49911),x49912),f2(a928)) % 199.45/199.84 [5046]~P63(x50462)+E(x50461,f2(x50462))+E(f330(f330(f37(x50462),x50461),x50461),f80(x50462)) % 199.45/199.84 [5047]~P125(x50472)+E(x50471,f2(x50472))+E(f330(f330(f294(x50472),x50471),x50471),f80(x50472)) % 199.45/199.84 [5048]~P126(x50482)+E(x50481,f2(x50482))+E(f330(f330(f294(x50482),x50481),x50481),f80(x50482)) % 199.45/199.84 [5068]~P146(x50681)+~E(x50682,f80(x50681))+E(f330(f330(f83(x50681),x50682),x50682),f80(x50681)) % 199.45/199.84 [5069]~P78(x50691)+~E(x50692,f2(x50691))+E(f330(f330(f82(x50691),x50692),x50692),f2(x50691)) % 199.45/199.84 [5070]~P126(x50701)+~E(x50702,f2(x50701))+E(f330(f330(f294(x50701),x50702),x50702),f2(x50701)) % 199.45/199.84 [5115]~E(x51152,f2(a928))+~E(x51151,f2(a928))+E(f330(f81(a1),f330(f103(a1),x51151)),f330(f103(a1),x51152)) % 199.45/199.84 [5134]E(x51341,f80(a928))+E(x51342,f2(a928))+~E(f330(f330(f83(a928),x51342),x51341),x51342) % 199.45/199.84 [5146]E(x51461,f2(a928))+E(x51462,f2(a928))+~E(f330(f330(f83(a928),x51462),x51461),f2(a928)) % 199.45/199.84 [5173]~E(x51732,f2(a928))+~E(x51731,f330(a115,f2(a928)))+E(f330(f330(f82(a928),x51731),x51732),f330(a115,f2(a928))) % 199.45/199.84 [5174]~E(x51741,f2(a928))+~E(x51742,f330(a115,f2(a928)))+E(f330(f330(f82(a928),x51741),x51742),f330(a115,f2(a928))) % 199.45/199.84 [5181]E(x51811,f80(a1))+E(x51812,f330(f106(a1),a100))+~E(f330(f330(f83(a1),x51811),x51812),f80(a1)) % 199.45/199.84 [5182]E(x51821,f80(a1))+E(x51822,f330(f106(a1),a100))+~E(f330(f330(f83(a1),x51822),x51821),f80(a1)) % 199.45/199.84 [5183]E(x51831,f80(a1))+E(x51831,f330(f106(a1),a100))+~E(f330(f330(f83(a1),x51832),x51831),f80(a1)) % 199.45/199.84 [5185]E(x51851,f80(a1))+E(x51851,f330(f106(a1),a100))+~E(f330(f330(f83(a1),x51851),x51852),f80(a1)) % 199.45/199.84 [5206]~P78(x52062)+E(x52061,f2(x52062))+~E(f330(f330(f82(x52062),x52061),x52061),f2(x52062)) % 199.45/199.84 [5212]~E(x52121,f330(f106(a1),a100))+~E(x52122,f330(f106(a1),a100))+E(f330(f330(f83(a1),x52121),x52122),f80(a1)) % 199.45/199.84 [5223]E(x52231,f2(a928))+E(x52232,f2(a928))+~E(f330(f330(f82(a928),x52232),x52231),f330(a115,f2(a928))) % 199.45/199.84 [5233]~P95(x52331)+~P66(x52331)+E(f330(f330(f294(x52331),x52332),f330(f106(x52331),a85)),f2(x52331)) % 199.45/199.84 [5239]~P146(x52391)+~E(x52392,f330(f81(x52391),f80(x52391)))+E(f330(f330(f83(x52391),x52392),x52392),f80(x52391)) % 199.45/199.84 [5244]~P6(x52442)+~P6(x52441)+P6(f330(f330(f83(a1),x52441),x52442)) % 199.45/199.84 [5245]~P6(x52452)+~P6(x52451)+P6(f330(f330(f82(a1),x52451),x52452)) % 199.45/199.84 [5246]~P6(x52462)+~P6(x52461)+P6(f330(f330(f37(a1),x52461),x52462)) % 199.45/199.84 [5248]~E(x52482,f2(a1))+E(x52481,f2(a1))+E(f47(x52481,x52482),f330(f330(f255(a1,a1),f2(a1)),x52481)) % 199.45/199.84 [5270]~E(x52702,f330(a115,f2(a928)))+~E(x52701,f330(a115,f2(a928)))+E(f330(f330(f83(a928),x52701),x52702),f330(a115,f2(a928))) % 199.45/199.84 [5287]E(x52871,f2(a928))+E(x52872,f330(a115,f2(a928)))+~E(f330(f330(f247(a928),x52872),x52871),f330(a115,f2(a928))) % 199.45/199.84 [5288]E(x52881,f2(a928))+E(x52881,f330(a115,f2(a928)))+~E(f330(f330(f82(a928),x52882),x52881),f330(a115,f2(a928))) % 199.45/199.84 [5289]E(x52891,f2(a928))+E(x52891,f330(a115,f2(a928)))+~E(f330(f330(f82(a928),x52891),x52892),f330(a115,f2(a928))) % 199.45/199.84 [5298]~P95(x52981)+~P66(x52981)+E(f330(f330(f294(x52981),x52982),f330(f106(x52981),a100)),f330(f81(x52981),x52982)) % 199.45/199.84 [5318]E(x53181,f330(a107,x53182))+~E(x53181,f2(a928))+P108(f330(f330(f238(a1),f2(a1)),x53182)) % 199.45/199.84 [5319]E(f330(a107,x53191),x53192)+~E(x53192,f2(a928))+P108(f330(f330(f238(a1),f2(a1)),x53191)) % 199.45/199.84 [5335]E(x53351,f330(a115,f2(a928)))+E(x53352,f330(a115,f2(a928)))+~E(f330(f330(f82(a928),x53351),x53352),f330(a115,f2(a928))) % 199.45/199.84 [5346]~E(x53461,f330(a107,x53462))+E(x53461,f2(a928))+P108(f330(f330(f238(a1),f2(a1)),x53462)) % 199.45/199.84 [5347]~E(f330(a107,x53472),x53471)+E(x53471,f2(a928))+P108(f330(f330(f238(a1),f2(a1)),x53472)) % 199.45/199.84 [5369]~P110(x53691)+E(f330(f64(x53691,f236(x53691)),x53692),f14(x53691,x53692))+~P108(f330(f62(x53691),x53692)) % 199.45/199.84 [5370]~P110(x53701)+E(f330(f64(x53701,f237(x53701)),x53702),f15(x53701,x53702))+~P108(f330(f62(x53701),x53702)) % 199.45/199.84 [5371]~P99(x53711)+E(f330(f64(x53711,f113(x53711)),x53712),f13(x53711,x53712))+~P108(f330(f62(x53711),x53712)) % 199.45/199.84 [5372]~P99(x53721)+E(f330(f64(x53721,f104(x53721)),x53722),f10(x53721,x53722))+~P108(f330(f62(x53721),x53722)) % 199.45/199.84 [5449]E(x54491,x54492)+~E(f330(f330(f23(a928),x54492),x54491),f2(a928))+~E(f330(f330(f23(a928),x54491),x54492),f2(a928)) % 199.45/199.84 [5467]P6(x54671)+~P42(x54672)+~P108(f330(f330(f332(a1),x54671),x54672)) % 199.45/199.84 [5497]~P121(x54971)+~E(f84(x54971,x54972),f80(x54971))+P108(f330(f330(f239(x54971),f2(x54971)),x54972)) % 199.45/199.84 [5508]~P95(x55081)+E(f330(f103(x55081),f330(f106(a928),x55082)),f330(f106(x55081),x55082))+P108(f330(a196,f330(f106(a1),x55082))) % 199.45/199.84 [5513]~P46(x55131,x55132)+P47(a923)+P108(f330(f62(f934(x55131,x55131)),x55132)) % 199.45/199.84 [5587]~P110(x55871)+E(f330(f64(x55871,f236(x55871)),x55872),f11(x55871,f236(x55871),x55872))+~P108(f330(f62(x55871),x55872)) % 199.45/199.84 [5588]~P110(x55881)+E(f330(f64(x55881,f237(x55881)),x55882),f12(x55881,f237(x55881),x55882))+~P108(f330(f62(x55881),x55882)) % 199.45/199.84 [5602]E(x56021,x56022)+P108(f330(f330(f239(a928),x56022),x56021))+P108(f330(f330(f239(a928),x56021),x56022)) % 199.45/199.84 [5603]E(x56031,x56032)+P108(f330(f330(f239(a1),x56032),x56031))+P108(f330(f330(f239(a1),x56031),x56032)) % 199.45/199.84 [5656]~P95(x56561)+E(f330(f103(x56561),f330(f106(a928),x56562)),f2(x56561))+~P108(f330(a196,f330(f106(a1),x56562))) % 199.45/199.84 [5659]~E(x56592,f330(a107,x56591))+E(x56591,f330(f103(a1),x56592))+~P108(f330(f330(f238(a1),f2(a1)),x56591)) % 199.45/199.84 [5660]~E(f330(a107,x56601),x56602)+E(x56601,f330(f103(a1),x56602))+~P108(f330(f330(f238(a1),f2(a1)),x56601)) % 199.45/199.84 [5661]~E(x56611,f330(a107,x56612))+E(f330(f103(a1),x56611),x56612)+~P108(f330(f330(f238(a1),f2(a1)),x56612)) % 199.45/199.84 [5671]E(x56711,f330(a107,x56712))+~E(x56712,f330(f103(a1),x56711))+~P108(f330(f330(f238(a1),f2(a1)),x56712)) % 199.45/199.84 [5672]E(f330(a107,x56721),x56722)+~E(x56721,f330(f103(a1),x56722))+~P108(f330(f330(f238(a1),f2(a1)),x56721)) % 199.45/199.84 [5713]~P86(x57132)+E(x57131,f2(x57132))+P108(f330(f330(f239(x57132),f2(x57132)),f330(f77(x57132),x57131))) % 199.45/199.84 [5778]~P121(x57781)+E(f84(x57781,x57782),f80(x57781))+~P108(f330(f330(f239(x57781),f2(x57781)),x57782)) % 199.45/199.84 [5782]~P95(x57821)+E(f330(f103(x57821),f330(f106(a928),x57822)),f2(x57821))+P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),x57822))) % 199.45/199.84 [5793]~P86(x57931)+E(f330(f77(x57931),x57932),x57932)+~P108(f330(f330(f238(x57931),f2(x57931)),x57932)) % 199.45/199.84 [5794]~P86(x57941)+E(f330(f77(x57941),x57942),x57942)+~P108(f330(f330(f239(x57941),f2(x57941)),x57942)) % 199.45/199.84 [5803]E(x58031,f2(a928))+~E(f142(a928,f330(f305(a928,x58032),x58031)),f116(a928))+P108(f330(f330(f238(a928),x58031),x58032)) % 199.45/199.84 [5814]~P76(x58141)+E(f330(f330(f6(x58141,x58141),f5(x58141)),f330(f175(x58141),x58142)),f330(f168(x58141),x58142))+~P108(f330(f140(x58141),x58142)) % 199.45/199.84 [5817]~P145(x58171)+E(f330(f103(x58171),f330(a107,x58172)),f330(f105(x58171),x58172))+~P108(f330(f330(f238(a1),f2(a1)),x58172)) % 199.45/199.84 [5844]E(x58441,x58442)+P108(f330(f330(f239(a928),x58441),x58442))+~P108(f330(f330(f238(a928),x58441),x58442)) % 199.45/199.84 [5845]E(x58451,x58452)+P108(f330(f330(f239(a1),x58451),x58452))+~P108(f330(f330(f238(a1),x58451),x58452)) % 199.45/199.84 [5848]E(x58481,f80(a1))+~E(f330(f330(f83(a1),x58482),x58481),f80(a1))+~P108(f330(f330(f239(a1),f2(a1)),x58482)) % 199.45/199.84 [5849]E(x58491,f80(a1))+~E(f330(f330(f83(a1),x58491),x58492),f80(a1))+~P108(f330(f330(f239(a1),f2(a1)),x58491)) % 199.45/199.84 [5889]~P42(x58892)+P108(f330(f330(f238(a1),f2(a1)),x58891))+~P108(f330(f330(f332(a1),x58891),x58892)) % 199.45/199.84 [5908]~P60(x59081,x59082)+P39(x59081,x59082)+~P108(f330(f62(f934(x59081,x59081)),x59082)) % 199.45/199.84 [5910]~P60(x59101,x59102)+P46(x59101,x59102)+~P108(f330(f62(f934(x59101,x59101)),x59102)) % 199.45/199.84 [5952]E(x59521,f191(f935(x59522,a923)))+~P108(f330(f62(x59522),x59521))+P108(f330(f330(f239(a928),f2(a928)),f330(f36(x59522),x59521))) % 199.45/199.84 [5979]~P108(f330(x59791,x59792))+P108(f330(x59791,f2(a928)))+P108(f330(f330(f239(a928),f888(x59792,x59791)),x59792)) % 199.45/199.84 [6002]E(x60021,f2(a928))+~E(f330(f168(a928),x60022),f2(a928))+~P108(f330(f330(f332(a928),x60021),f330(f175(a928),x60022))) % 199.45/199.84 [6070]E(x60701,x60702)+~P108(f330(f330(f238(a928),x60702),x60701))+~P108(f330(f330(f238(a928),x60701),x60702)) % 199.45/199.84 [6071]E(x60711,x60712)+~P108(f330(f330(f238(a1),x60712),x60711))+~P108(f330(f330(f238(a1),x60711),x60712)) % 199.45/199.84 [6073]E(f330(f36(x60731),x60732),f2(a928))+~P108(f330(f62(x60731),x60732))+P108(f330(f330(f332(x60731),f890(x60732,x60731)),x60732)) % 199.45/199.84 [6082]E(f51(x60821,x60822),f47(x60821,x60822))+P108(f330(f330(f238(a1),f2(a1)),x60821))+~P108(f330(f330(f239(a1),f2(a1)),x60822)) % 199.45/199.84 [6108]~P108(f330(x61081,f918(x61081)))+P108(f330(x61081,f330(a107,x61082)))+~P108(f330(f330(f238(a1),f2(a1)),x61082)) % 199.45/199.84 [6111]P108(f330(f330(f238(a928),x61111),f684(x61112)))+~P108(f330(f62(a928),x61112))+~P108(f330(f330(f332(a928),x61111),x61112)) % 199.45/199.84 [6112]P108(f330(f330(f239(a928),x61121),f732(x61122)))+~P108(f330(f62(a928),x61122))+~P108(f330(f330(f332(a928),x61121),x61122)) % 199.45/199.84 [6143]E(x61431,x61432)+~P108(f330(f330(f239(a928),x61431),f330(a115,x61432)))+P108(f330(f330(f239(a928),x61431),x61432)) % 199.45/199.84 [6179]E(x61791,f330(a115,x61792))+~P108(f330(f330(f238(a928),x61791),f330(a115,x61792)))+P108(f330(f330(f238(a928),x61791),x61792)) % 199.45/199.84 [6195]P108(f330(x61951,f920(x61951)))+~P108(f330(x61951,f330(a107,x61952)))+~P108(f330(f330(f238(a1),f2(a1)),x61952)) % 199.45/199.84 [6211]~P108(f330(x62111,x62112))+~P108(f330(f330(f238(a1),f2(a1)),x62112))+P108(f330(x62111,f330(f103(a1),f892(x62111)))) % 199.45/199.84 [6222]~P86(x62222)+~E(x62221,f2(x62222))+~P108(f330(f330(f239(x62222),f2(x62222)),f330(f77(x62222),x62221))) % 199.45/199.84 [6247]~P60(x62471,x62472)+P39(x62471,f330(f289(x62471,x62471),x62472))+~P108(f330(f62(f934(x62471,x62471)),x62472)) % 199.45/199.84 [6256]~P95(x62561)+E(f330(f103(x62561),f330(f106(a928),x62562)),f330(f106(x62561),x62562))+~P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),x62562))) % 199.45/199.84 [6259]E(f330(a115,x62591),x62592)+~P108(f330(f330(f239(a928),x62591),x62592))+P108(f330(f330(f239(a928),f330(a115,x62591)),x62592)) % 199.45/199.84 [6275]E(f330(f330(f37(a1),x62751),x62752),f2(a1))+~P108(f330(f330(f238(a1),x62751),f2(a1)))+~P108(f330(f330(f239(a1),x62752),x62751)) % 199.45/199.84 [6285]E(f46(a1,x62851,x62852),x62851)+~P108(f330(f330(f238(a1),x62851),f2(a1)))+~P108(f330(f330(f239(a1),x62852),x62851)) % 199.45/199.84 [6299]E(f48(x62991,x62992),f47(x62991,x62992))+~P108(f330(f330(f238(a1),f2(a1)),x62991))+~P108(f330(f330(f238(a1),f2(a1)),x62992)) % 199.45/199.84 [6309]E(f330(f330(f37(a1),x63091),x63092),f2(a1))+~P108(f330(f330(f238(a1),f2(a1)),x63091))+~P108(f330(f330(f239(a1),x63091),x63092)) % 199.45/199.84 [6321]E(f46(a928,f330(f106(a928),x63211),f330(f106(a928),x63212)),f330(f106(a928),x63211))+P108(f330(a196,f330(f106(a1),x63211)))+~P108(f330(a196,f330(f106(a1),x63212))) % 199.45/199.84 [6323]E(f46(a1,x63231,x63232),x63231)+~P108(f330(f330(f238(a1),f2(a1)),x63231))+~P108(f330(f330(f239(a1),x63231),x63232)) % 199.45/199.84 [6324]E(x63241,x63242)+~P108(f330(f330(f239(a928),x63241),f330(a115,x63242)))+~P108(f330(f330(f238(a928),x63242),x63241)) % 199.45/199.84 [6338]~P78(x63381)+~P108(f330(f330(f238(x63381),x63382),f2(x63381)))+P108(f330(f330(f238(x63381),x63382),f330(f81(x63381),x63382))) % 199.45/199.84 [6339]~P121(x63391)+~P108(f330(f330(f239(x63391),x63392),f2(x63391)))+P108(f330(f330(f239(x63391),x63392),f330(f81(x63391),x63392))) % 199.45/199.84 [6349]~P5(x63491)+E(f330(f330(f65(x63491,x63491,f104(x63491)),f245(x63491)),x63492),f39(x63491,x63492))+~P108(f330(f62(x63491),x63492)) % 199.45/199.84 [6350]~P5(x63501)+E(f330(f330(f65(x63501,x63501,f113(x63501)),f191(x63501)),x63502),f38(x63501,x63502))+~P108(f330(f62(x63501),x63502)) % 199.45/199.84 [6367]~P121(x63671)+~P108(f330(f330(f238(a1),f2(a1)),x63672))+P108(f330(f330(f238(x63671),f2(x63671)),f330(f105(x63671),x63672))) % 199.45/199.84 [6368]~P113(x63681)+~P108(f330(f330(f239(a928),f2(a928)),x63682))+P108(f330(f330(f239(x63681),f2(x63681)),f330(f103(x63681),x63682))) % 199.45/199.84 [6369]~P121(x63691)+~P108(f330(f330(f239(a1),f2(a1)),x63692))+P108(f330(f330(f239(x63691),f2(x63691)),f330(f105(x63691),x63692))) % 199.45/199.84 [6372]~P6(x63722)+~P6(x63721)+E(f330(f313(a928,a1,f103(a1)),f306(a928,f330(a107,x63721),f330(a107,x63722))),f306(a1,x63721,x63722)) % 199.45/199.84 [6378]P108(f330(x63781,x63782))+~P108(f330(f330(f238(a1),f2(a1)),x63782))+~P108(f330(x63781,f330(f103(a1),f912(x63781)))) % 199.45/199.84 [6407]E(f330(f330(f82(a928),f330(f106(a928),x64071)),f330(f106(a928),x64072)),f330(f106(a928),x64071))+P108(f330(f330(f239(a1),x64071),a85))+~P108(f330(f330(f239(a1),x64072),a85)) % 199.45/199.84 [6411]~P121(x64111)+P108(f330(f330(f239(x64111),f2(x64111)),f84(x64111,x64112)))+~P108(f330(f330(f239(x64111),f2(x64111)),x64112)) % 199.45/199.84 [6423]~P80(x64231)+~P108(f330(f330(f238(x64231),x64232),f2(x64231)))+P108(f330(f330(f238(x64231),f2(x64231)),f330(f81(x64231),x64232))) % 199.45/199.84 [6424]~P80(x64241)+~P108(f330(f330(f239(x64241),x64242),f2(x64241)))+P108(f330(f330(f239(x64241),f2(x64241)),f330(f81(x64241),x64242))) % 199.45/199.84 [6427]E(x64271,f245(f935(x64272,a923)))+~E(f330(f36(x64272),x64271),f330(f36(x64272),f245(f935(x64272,a923))))+~P108(f330(f62(x64272),f245(f935(x64272,a923)))) % 199.45/199.84 [6453]~P108(f330(f330(f239(a928),f2(a928)),x64532))+~P108(f330(f330(f290(a928),x64531),x64532))+P108(f330(f330(f238(a928),x64531),x64532)) % 199.45/199.84 [6460]~P78(x64601)+P108(f330(f330(f238(x64601),x64602),f2(x64601)))+~P108(f330(f330(f238(x64601),x64602),f330(f81(x64601),x64602))) % 199.45/199.84 [6461]~P121(x64611)+P108(f330(f330(f239(x64611),x64612),f2(x64611)))+~P108(f330(f330(f239(x64611),x64612),f330(f81(x64611),x64612))) % 199.45/199.84 [6470]~P95(x64701)+P108(f330(f330(f332(x64701),f330(f106(x64701),x64702)),f189(x64701)))+~P108(f330(f330(f238(a1),a85),x64702)) % 199.45/199.84 [6499]E(x64991,f2(a928))+~P108(f330(f330(f239(a928),x64991),f330(a115,x64992)))+P108(f330(f330(f239(a928),f831(x64992,x64991)),x64992)) % 199.45/199.84 [6521]~P121(x65211)+~P108(f330(f330(f239(x65211),f2(x65211)),f84(x65211,x65212)))+P108(f330(f330(f239(x65211),f2(x65211)),x65212)) % 199.45/199.84 [6523]~E(f330(f106(a928),x65232),f330(f106(a928),x65231))+P108(f330(f330(f238(a1),f330(f106(a1),x65231)),f2(a1)))+~P108(f330(a196,f330(f106(a1),x65232))) % 199.45/199.84 [6552]E(f330(f254(a1,a1),f51(x65521,x65522)),f330(f330(f37(a1),x65521),x65522))+~P108(f330(f330(f239(a1),x65521),f2(a1)))+~P108(f330(f330(f239(a1),f2(a1)),x65522)) % 199.45/199.84 [6590]E(f330(f259(a1,a1),f51(x65901,x65902)),f46(a1,x65901,x65902))+~P108(f330(f330(f239(a1),x65901),f2(a1)))+~P108(f330(f330(f239(a1),f2(a1)),x65902)) % 199.45/199.84 [6593]~P121(x65932)+~P108(f330(f330(f238(x65932),f2(x65932)),f330(f105(x65932),x65931)))+P108(f330(f330(f238(a1),f2(a1)),x65931)) % 199.45/199.84 [6594]~P113(x65942)+~P108(f330(f330(f239(x65942),f2(x65942)),f330(f103(x65942),x65941)))+P108(f330(f330(f239(a928),f2(a928)),x65941)) % 199.45/199.84 [6595]~P121(x65952)+~P108(f330(f330(f239(x65952),f2(x65952)),f330(f105(x65952),x65951)))+P108(f330(f330(f239(a1),f2(a1)),x65951)) % 199.45/199.84 [6599]E(f330(f254(a1,a1),f48(x65991,x65992)),f330(f330(f37(a1),x65991),x65992))+~P108(f330(f330(f238(a1),f2(a1)),x65992))+~P108(f330(f330(f239(a1),f2(a1)),x65991)) % 199.45/199.84 [6613]E(f330(f259(a1,a1),f48(x66131,x66132)),f46(a1,x66131,x66132))+~P108(f330(f330(f238(a1),f2(a1)),x66132))+~P108(f330(f330(f239(a1),f2(a1)),x66131)) % 199.45/199.84 [6628]~P80(x66281)+P108(f330(f330(f238(x66281),x66282),f2(x66281)))+~P108(f330(f330(f238(x66281),f2(x66281)),f330(f81(x66281),x66282))) % 199.45/199.84 [6629]~P80(x66291)+P108(f330(f330(f239(x66291),x66292),f2(x66291)))+~P108(f330(f330(f239(x66291),f2(x66291)),f330(f81(x66291),x66292))) % 199.45/199.84 [6656]P108(f330(f50(x66561,x66562),f51(x66561,x66562)))+~P108(f330(f330(f239(a1),x66561),f2(a1)))+~P108(f330(f330(f239(a1),f2(a1)),x66562)) % 199.45/199.84 [6681]P108(f330(f50(x66811,x66812),f48(x66811,x66812)))+~P108(f330(f330(f238(a1),f2(a1)),x66811))+~P108(f330(f330(f239(a1),f2(a1)),x66812)) % 199.45/199.84 [6726]~P80(x67261)+P108(f330(f330(f238(x67261),f330(f81(x67261),x67262)),f2(x67261)))+~P108(f330(f330(f238(x67261),f2(x67261)),x67262)) % 199.45/199.84 [6727]~P80(x67271)+P108(f330(f330(f239(x67271),f330(f81(x67271),x67272)),f2(x67271)))+~P108(f330(f330(f239(x67271),f2(x67271)),x67272)) % 199.45/199.84 [6745]E(f330(f330(f23(a928),f330(a107,x67451)),f330(a107,x67452)),f330(a107,f197(x67451,x67452)))+~P108(f330(f330(f238(a1),f2(a1)),x67452))+~P108(f330(f330(f238(a1),f2(a1)),x67451)) % 199.45/199.84 [6763]P108(f330(f330(f238(a1),f2(a1)),f197(x67631,x67632)))+~P108(f330(f330(f238(a1),f2(a1)),x67632))+~P108(f330(f330(f238(a1),f2(a1)),x67631)) % 199.45/199.84 [6800]~P108(f330(x68001,x68002))+P108(f330(x68001,f2(a928)))+P108(f330(x68001,f330(f330(f82(a928),f888(x68002,x68001)),f80(a928)))) % 199.45/199.84 [6882]E(f330(f106(a928),x68821),f330(f106(a928),x68822))+~P108(f330(f330(f238(a1),f330(f106(a1),x68822)),f2(a1)))+~P108(f330(a196,f330(f106(a1),x68821))) % 199.45/199.84 [6894]~E(x68941,f2(a928))+~E(f685(x68942,x68941),f2(a928))+E(f330(f145(a928,a928,f82(a928),x68941),x68942),f2(a928)) % 199.45/199.84 [6918]~P108(f330(f62(x69181),f528(x69182,x69181)))+~P108(f330(f62(f935(x69181,a923)),x69182))+P108(f330(f62(x69181),f38(f935(x69181,a923),x69182))) % 199.45/199.84 [6924]E(x69241,x69242)+P108(f330(f330(f239(a1),x69241),x69242))+~P108(f330(f330(f239(a1),x69241),f330(f330(f82(a1),x69242),f80(a1)))) % 199.45/199.84 [6925]P108(f330(f330(f238(a928),f330(a107,x69251)),f330(a107,x69252)))+~P108(f330(f330(f238(a1),f2(a1)),x69252))+~P108(f330(f330(f238(a1),x69251),x69252)) % 199.45/199.84 [6926]P108(f330(f330(f238(a928),f330(a107,x69261)),f330(a107,x69262)))+~P108(f330(f330(f239(a1),f2(a1)),x69261))+~P108(f330(f330(f238(a1),x69261),x69262)) % 199.45/199.84 [6928]P108(f330(f330(f239(a928),f330(a107,x69281)),f330(a107,x69282)))+~P108(f330(f330(f238(a1),f2(a1)),x69281))+~P108(f330(f330(f239(a1),x69281),x69282)) % 199.45/199.84 [6929]P108(f330(f330(f239(a928),f330(a107,x69291)),f330(a107,x69292)))+~P108(f330(f330(f239(a1),f2(a1)),x69292))+~P108(f330(f330(f239(a1),x69291),x69292)) % 199.45/199.84 [6940]E(f46(a928,f330(a107,x69401),f330(a107,x69402)),f330(a107,f46(a1,x69401,x69402)))+~P108(f330(f330(f238(a1),f2(a1)),x69402))+~P108(f330(f330(f238(a1),f2(a1)),x69401)) % 199.45/199.84 [6963]~P80(x69631)+~P108(f330(f330(f238(x69631),f330(f81(x69631),x69632)),f2(x69631)))+P108(f330(f330(f238(x69631),f2(x69631)),x69632)) % 199.45/199.84 [6964]~P80(x69641)+~P108(f330(f330(f239(x69641),f330(f81(x69641),x69642)),f2(x69641)))+P108(f330(f330(f239(x69641),f2(x69641)),x69642)) % 199.45/199.84 [6978]~P108(f330(f330(f239(a1),a85),x69782))+~P108(f330(f330(f239(a1),x69781),x69782))+P108(f330(f330(f239(a928),f330(f106(a928),x69781)),f330(f106(a928),x69782))) % 199.45/199.84 [7068]~P108(f330(f330(f238(a1),f2(a1)),x70681))+P108(f330(f330(f239(a928),f330(a107,x70681)),x70682))+~P108(f330(f330(f239(a1),x70681),f330(f103(a1),x70682))) % 199.45/199.84 [7073]P108(f330(x70731,x70732))+~P108(f330(x70731,f330(a20,f820(x70731,x70732))))+~P108(f330(f330(f332(a928),x70732),f245(f935(a928,a923)))) % 199.45/199.84 [7084]E(x70841,f2(a1))+E(f46(a1,x70842,x70841),f2(a1))+E(f330(f330(f23(a1),f330(f81(a1),f330(f330(f37(a1),x70842),x70841))),f80(a1)),f330(f330(f37(a1),x70842),f330(f81(a1),x70841))) % 199.45/199.84 [7098]~P108(f330(f330(f238(a1),f2(a1)),x70981))+~P108(f330(f330(f239(a928),f330(a107,x70981)),x70982))+P108(f330(f330(f239(a1),x70981),f330(f103(a1),x70982))) % 199.45/199.84 [7134]~P108(f330(f330(f238(a928),f330(a107,x71341)),f330(a107,x71342)))+~P108(f330(f330(f238(a1),f2(a1)),x71342))+P108(f330(f330(f238(a1),x71341),x71342)) % 199.45/199.84 [7135]~P108(f330(f330(f238(a928),f330(a107,x71351)),f330(a107,x71352)))+~P108(f330(f330(f239(a1),f2(a1)),x71351))+P108(f330(f330(f238(a1),x71351),x71352)) % 199.45/199.84 [7164]P108(f330(f330(f238(a1),x71641),x71642))+~P108(f330(f330(f238(a928),f330(f106(a928),x71641)),f330(f106(a928),x71642)))+P108(f330(f330(f238(a1),x71641),a85)) % 199.45/199.84 [7191]P108(f330(f330(f238(a1),f2(a1)),f46(a1,x71911,x71912)))+~P108(f330(f330(f238(a1),f2(a1)),x71912))+~P108(f330(f330(f238(a1),f2(a1)),x71911)) % 199.45/199.84 [7287]P108(f330(f330(f239(a1),a85),x72871))+~P108(f330(f330(f239(a1),x72872),x72871))+~P108(f330(f330(f239(a928),f330(f106(a928),x72872)),f330(f106(a928),x72871))) % 199.45/199.84 [7341]E(f330(f330(f255(a1,a1),f330(f330(f37(a1),x73411),x73412)),f46(a1,x73411,x73412)),f51(x73411,x73412))+~P108(f330(f330(f239(a1),x73411),f2(a1)))+~P108(f330(f330(f239(a1),f2(a1)),x73412)) % 199.45/199.84 [7361]E(f330(f330(f255(a1,a1),f330(f330(f37(a1),x73611),x73612)),f46(a1,x73611,x73612)),f48(x73611,x73612))+~P108(f330(f330(f238(a1),f2(a1)),x73612))+~P108(f330(f330(f238(a1),f2(a1)),x73611)) % 199.45/199.84 [7415]~P98(x74152)+E(x74151,f116(x74152))+E(f330(f145(x74152,x74152,f83(x74152),f330(f144(x74152),x74151)),f330(f174(x74152),x74151)),f330(f64(x74152,f83(x74152)),f330(f175(x74152),x74151))) % 199.45/199.84 [7532]~E(x75321,f2(a928))+E(f330(f145(a928,a928,f82(a928),x75321),x75322),f2(a928))+P108(f330(f330(f332(a928),f685(x75322,x75321)),f330(f175(a928),x75322))) % 199.45/199.84 [7583]~P108(f330(f330(f238(a1),x75831),f2(a1)))+P108(f330(f330(f238(a1),f330(f330(f37(a1),x75831),x75832)),f2(a1)))+~P108(f330(f330(f239(a1),f2(a1)),x75832)) % 199.45/199.84 [7584]~P108(f330(f330(f239(a1),x75842),f2(a1)))+P108(f330(f330(f238(a1),f330(f330(f37(a1),x75841),x75842)),f2(a1)))+~P108(f330(f330(f238(a1),f2(a1)),x75841)) % 199.45/199.84 [7585]~P108(f330(f330(f239(a1),x75852),f2(a1)))+P108(f330(f330(f239(a1),f330(f330(f37(a1),x75851),x75852)),f2(a1)))+~P108(f330(f330(f239(a1),f2(a1)),x75851)) % 199.45/199.84 [7587]~P108(f330(f330(f239(a1),x75871),f2(a1)))+P108(f330(f330(f239(a1),f330(f330(f37(a1),x75871),x75872)),f2(a1)))+~P108(f330(f330(f239(a1),f2(a1)),x75872)) % 199.45/199.84 [7593]P108(f330(f330(f332(f935(x75931,a923)),f528(x75932,x75931)),x75932))+~P108(f330(f62(f935(x75931,a923)),x75932))+P108(f330(f62(x75931),f38(f935(x75931,a923),x75932))) % 199.45/199.84 [7681]P25(x76811,x76811,x76812,f245(f935(x76811,a923)))+~E(f330(f313(x76811,x76811,x76812),f245(f935(x76811,a923))),f245(f935(x76811,a923)))+~P108(f330(f62(x76811),f245(f935(x76811,a923)))) % 199.45/199.84 [7802]~P25(x78021,x78021,x78022,f245(f935(x78021,a923)))+E(f330(f313(x78021,x78021,x78022),f245(f935(x78021,a923))),f245(f935(x78021,a923)))+~P108(f330(f62(x78021),f245(f935(x78021,a923)))) % 199.45/199.84 [7941]E(f330(f330(f37(a1),x79411),x79412),f330(f106(a1),a100))+~P108(f330(f330(f238(a1),f330(f330(f82(a1),x79411),x79412)),f2(a1)))+~P108(f330(f330(f239(a1),f2(a1)),x79411)) % 199.45/199.84 [7997]~P108(f330(f330(f239(a1),x79972),f2(a1)))+~P108(f330(f330(f239(a1),f330(f330(f37(a1),x79971),x79972)),f2(a1)))+P108(f330(f330(f239(a1),f2(a1)),x79971)) % 199.45/199.84 [8002]E(f330(f330(f82(a1),x80021),x80022),f46(a1,x80021,x80022))+~P108(f330(f330(f238(a1),f330(f330(f82(a1),x80021),x80022)),f2(a1)))+~P108(f330(f330(f239(a1),f2(a1)),x80021)) % 199.45/199.84 [8005]P108(f330(f330(f239(a1),x80051),f2(a1)))+~P108(f330(f330(f239(a1),f330(f330(f37(a1),x80051),x80052)),f2(a1)))+~P108(f330(f330(f239(a1),f2(a1)),x80052)) % 199.45/199.84 [8697]~P110(x86971)+P13(x86971,x86972)+~P108(f330(f330(f238(x86971),f330(f330(f167(x86971),x86972),f719(x86972,x86971))),f330(f330(f167(x86971),x86972),f720(x86972,x86971)))) % 199.45/199.84 [8698]~P110(x86981)+P13(x86981,x86982)+~P108(f330(f330(f238(x86981),f330(f330(f167(x86981),x86982),f727(x86982,x86981))),f330(f330(f167(x86981),x86982),f731(x86982,x86981)))) % 199.45/199.84 [5945]E(x59451,f2(a1))+~E(f46(a1,x59452,x59451),f2(a1))+E(f330(f330(f37(a1),x59452),f330(f81(a1),x59451)),f330(f81(a1),f330(f330(f37(a1),x59452),x59451))) % 199.45/199.84 [5963]~P42(x59632)+~P42(x59631)+P42(f330(f330(f104(f935(a1,a923)),x59631),x59632)) % 199.45/199.84 [5964]~P42(x59642)+~P42(x59641)+P42(f330(f330(f113(f935(a1,a923)),x59641),x59642)) % 199.45/199.84 [5982]~P95(x59821)+~P66(x59821)+E(f330(f81(x59821),f330(f330(f294(x59821),f80(x59821)),x59822)),f330(f330(f294(x59821),f330(f106(x59821),a100)),x59822)) % 199.45/199.84 [6100]E(x61001,f2(a1))+~E(f46(a1,x61002,x61001),f2(a1))+E(f330(f330(f37(a1),f330(f81(a1),x61002)),x61001),f330(f81(a1),f330(f330(f37(a1),x61002),x61001))) % 199.45/199.84 [6241]~P110(x62411)+P13(x62411,x62412)+P108(f330(f330(f239(a928),f720(x62412,x62411)),f330(f192(f929(x62411)),x62412))) % 199.45/199.84 [6242]~P110(x62421)+P13(x62421,x62422)+P108(f330(f330(f239(a928),f731(x62422,x62421)),f330(f192(f929(x62421)),x62422))) % 199.45/199.84 [6401]~P95(x64011)+~E(f330(f106(x64011),x64012),f2(x64011))+P29(x64011,f330(f106(x64011),f330(f330(f82(a1),x64012),f330(f81(a1),a85)))) % 199.45/199.84 [6402]~P95(x64021)+~E(f330(f106(x64021),x64022),f2(x64021))+P29(x64021,f330(f106(x64021),f330(f330(f82(a1),a85),f330(f81(a1),x64022)))) % 199.45/199.84 [6404]E(f330(a52,f48(f330(f81(a1),x64041),f330(f81(a1),x64042))),f47(x64041,x64042))+P108(f330(f330(f238(a1),f2(a1)),x64041))+P108(f330(f330(f239(a1),f2(a1)),x64042)) % 199.45/199.84 [6529]~E(x65292,f2(a928))+~E(x65291,f2(a928))+P108(f330(f330(f238(a1),f330(f103(a1),x65291)),f330(f81(a1),f330(f103(a1),x65292)))) % 199.45/199.84 [6558]E(f330(f330(f82(a928),f330(f106(a928),x65581)),f330(f106(a928),x65582)),f330(f106(a928),f330(f330(f82(a1),x65581),x65582)))+P108(f330(f330(f239(a1),x65581),a85))+P108(f330(f330(f239(a1),x65582),a85)) % 199.45/199.84 [6691]~P78(x66911)+~P108(f330(f330(f238(x66911),f2(x66911)),x66912))+P108(f330(f330(f238(x66911),f330(f81(x66911),x66912)),x66912)) % 199.45/199.84 [6692]~P78(x66921)+~P108(f330(f330(f239(x66921),f2(x66921)),x66922))+P108(f330(f330(f239(x66921),f330(f81(x66921),x66922)),x66922)) % 199.45/199.84 [6868]E(f330(f330(f23(a928),f330(a107,x68681)),f330(a107,x68682)),f330(a107,f330(f330(f23(a1),x68681),x68682)))+~P108(f330(f330(f238(a1),f2(a1)),x68682))+~P108(f330(f330(f238(a1),x68682),x68681)) % 199.45/199.84 [6902]E(f330(a107,f46(a1,f330(f106(a1),x69021),f330(f106(a1),x69022))),f46(a928,f330(f106(a928),x69021),f330(f106(a928),x69022)))+P108(f330(a196,f330(f106(a1),x69021)))+P108(f330(a196,f330(f106(a1),x69022))) % 199.45/199.84 [6919]~P78(x69191)+P108(f330(f330(f238(x69191),f2(x69191)),x69192))+~P108(f330(f330(f238(x69191),f330(f81(x69191),x69192)),x69192)) % 199.45/199.84 [6920]~P78(x69201)+P108(f330(f330(f239(x69201),f2(x69201)),x69202))+~P108(f330(f330(f239(x69201),f330(f81(x69201),x69202)),x69202)) % 199.45/199.84 [6932]~P78(x69321)+~P108(f330(f330(f238(x69321),f2(x69321)),x69322))+P108(f330(f330(f238(x69321),f2(x69321)),f330(f330(f82(x69321),x69322),x69322))) % 199.45/199.84 [6934]~P78(x69341)+~P108(f330(f330(f239(x69341),f2(x69341)),x69342))+P108(f330(f330(f239(x69341),f2(x69341)),f330(f330(f82(x69341),x69342),x69342))) % 199.45/199.84 [6946]E(f330(f330(f82(a928),f330(a107,x69461)),f330(a107,x69462)),f330(a107,f330(f330(f82(a1),x69461),x69462)))+~P108(f330(f330(f238(a1),f2(a1)),x69462))+~P108(f330(f330(f238(a1),f2(a1)),x69461)) % 199.45/199.84 [6957]E(x69571,f2(a928))+P108(f330(f330(f239(a928),f2(a928)),x69572))+~P108(f330(f330(f239(a928),f2(a928)),f330(f330(f247(a928),x69572),x69571))) % 199.45/199.84 [6988]~P95(x69881)+E(f330(f106(x69881),x69882),f2(x69881))+~P29(x69881,f330(f106(x69881),f330(f330(f82(a1),a85),f330(f81(a1),x69882)))) % 199.45/199.84 [6989]~P95(x69891)+E(f330(f106(x69891),x69892),f2(x69891))+~P29(x69891,f330(f106(x69891),f330(f330(f82(a1),x69892),f330(f81(a1),a85)))) % 199.45/199.84 [7046]~P108(f330(f62(x70461),x70462))+~P108(f330(f62(x70461),f245(f935(x70461,a923))))+P108(f330(f62(x70461),f330(f81(f935(x70461,a923)),x70462))) % 199.45/199.84 [7069]~P108(f330(f330(f239(a1),f2(a1)),x70692))+~P108(f330(f330(f238(a1),x70692),x70691))+P108(f330(f330(f239(a1),f2(a1)),f330(f330(f37(a1),x70691),x70692))) % 199.45/199.84 [7070]~P108(f330(f330(f238(a1),x70701),f2(a1)))+~P108(f330(f330(f239(a1),x70702),f2(a1)))+P108(f330(f330(f238(a1),f2(a1)),f330(f330(f37(a1),x70701),x70702))) % 199.45/199.84 [7108]~P108(f330(f330(f238(a1),f2(a1)),x71082))+~P108(f330(f330(f238(a1),f2(a1)),x71081))+P108(f330(f330(f238(a1),f2(a1)),f330(f330(f83(a1),x71081),x71082))) % 199.45/199.84 [7109]~P108(f330(f330(f238(a1),f2(a1)),x71092))+~P108(f330(f330(f238(a1),f2(a1)),x71091))+P108(f330(f330(f238(a1),f2(a1)),f330(f330(f82(a1),x71091),x71092))) % 199.45/199.84 [7110]~P108(f330(f330(f238(a1),f2(a1)),x71102))+~P108(f330(f330(f238(a1),f2(a1)),x71101))+P108(f330(f330(f238(a1),f2(a1)),f330(f330(f37(a1),x71101),x71102))) % 199.45/199.84 [7111]~P108(f330(f330(f238(a1),f2(a1)),x71111))+~P108(f330(f330(f239(a1),f2(a1)),x71112))+P108(f330(f330(f238(a1),f2(a1)),f330(f330(f37(a1),x71111),x71112))) % 199.45/199.84 [7112]~P108(f330(f330(f239(a928),f2(a928)),x71122))+~P108(f330(f330(f239(a928),f2(a928)),x71121))+P108(f330(f330(f239(a928),f2(a928)),f330(f330(f83(a928),x71121),x71122))) % 199.45/199.84 [7178]E(x71781,f2(a1))+E(f46(a1,x71782,x71781),f2(a1))+E(f330(f330(f23(a1),f330(f81(a1),f330(f330(f37(a1),x71782),x71781))),f80(a1)),f330(f330(f37(a1),f330(f81(a1),x71782)),x71781)) % 199.45/199.84 [7232]P108(f330(f330(f239(a928),f2(a928)),x72321))+P108(f330(f330(f239(a928),f2(a928)),x72322))+~P108(f330(f330(f239(a928),f2(a928)),f330(f330(f82(a928),x72322),x72321))) % 199.45/199.84 [7236]~P78(x72361)+P108(f330(f330(f238(x72361),f2(x72361)),x72362))+~P108(f330(f330(f238(x72361),f2(x72361)),f330(f330(f82(x72361),x72362),x72362))) % 199.45/199.84 [7237]~P78(x72371)+P108(f330(f330(f239(x72371),f2(x72371)),x72372))+~P108(f330(f330(f239(x72371),f2(x72371)),f330(f330(f82(x72371),x72372),x72372))) % 199.45/199.84 [7288]~P108(f330(f62(x72881),x72882))+P108(f330(f62(x72881),f245(f935(x72881,a923))))+~P108(f330(f62(x72881),f330(f81(f935(x72881,a923)),x72882))) % 199.45/199.84 [7353]P108(f330(f330(f238(a1),x73531),f2(a1)))+~P108(f330(f330(f239(a1),x73532),f2(a1)))+~P108(f330(f330(f238(a1),f2(a1)),f330(f330(f37(a1),x73531),x73532))) % 199.45/199.84 [7359]~P108(f330(f330(f239(a1),f2(a1)),x73591))+P108(f330(f330(f238(a1),x73591),x73592))+~P108(f330(f330(f239(a1),f2(a1)),f330(f330(f37(a1),x73592),x73591))) % 199.45/199.84 [7360]~P108(f330(f330(f238(a1),f2(a1)),x73602))+P108(f330(f330(f238(a1),x73601),x73602))+~P108(f330(f330(f239(a1),f2(a1)),f330(f330(f37(a1),x73602),x73601))) % 199.45/199.84 [7390]P108(f330(f330(f238(a1),f2(a1)),x73901))+~P108(f330(f330(f239(a1),f2(a1)),x73902))+~P108(f330(f330(f238(a1),f2(a1)),f330(f330(f37(a1),x73901),x73902))) % 199.45/199.84 [7391]P108(f330(f330(f239(a1),f2(a1)),x73911))+~P108(f330(f330(f238(a1),f2(a1)),x73912))+~P108(f330(f330(f239(a1),f2(a1)),f330(f330(f37(a1),x73912),x73911))) % 199.45/199.84 [7833]~P108(f330(f62(x78332),f245(f935(x78332,a923))))+~P108(f330(f62(x78331),f245(f935(x78331,a923))))+P108(f330(f62(f934(x78331,x78332)),f245(f935(f934(x78331,x78332),a923)))) % 199.45/199.84 [7834]~P108(f330(f62(x78342),f245(f935(x78342,a923))))+~P108(f330(f62(x78341),f245(f935(x78341,a923))))+P108(f330(f62(f936(x78341,x78342)),f245(f935(f936(x78341,x78342),a923)))) % 199.45/199.84 [7906]~P108(f330(f330(f239(a928),f330(a115,f2(a928))),x79061))+~P108(f330(f330(f239(a928),f330(a115,f2(a928))),x79062))+P108(f330(f330(f239(a928),x79061),f330(f330(f83(a928),x79062),x79061))) % 199.45/199.84 [7907]~P108(f330(f330(f239(a928),f330(a115,f2(a928))),x79071))+~P108(f330(f330(f239(a928),f330(a115,f2(a928))),x79072))+P108(f330(f330(f239(a928),x79071),f330(f330(f83(a928),x79071),x79072))) % 199.45/199.84 [7940]E(f330(f36(x79401),f245(f935(x79401,a923))),f330(a115,f2(a928)))+P108(f330(f62(x79402),f245(f935(x79402,a923))))+~P108(f330(f62(f935(x79402,x79401)),f245(f935(f935(x79402,x79401),a923)))) % 199.45/199.84 [8065]~P108(f330(f330(f238(a928),f330(a115,f2(a928))),x80651))+~P108(f330(f330(f238(a928),f330(a115,f2(a928))),x80652))+P108(f330(f330(f238(a928),f330(a115,f2(a928))),f330(f330(f83(a928),x80651),x80652))) % 199.45/199.84 [8066]~P108(f330(f330(f239(a928),f330(a115,f2(a928))),x80662))+~P108(f330(f330(f239(a928),f330(a115,f2(a928))),x80661))+P108(f330(f330(f239(a928),f330(a115,f2(a928))),f330(f330(f83(a928),x80661),x80662))) % 199.45/199.84 [8744]E(x87441,f116(x87442))+~P108(f330(f140(x87442),x87441))+E(f180(x87442,f330(f330(f8(a923,a923,x87442),a325),f330(f330(f7(x87442,x87442,a923),a327),f147(x87442,x87441))),x87441),f117(x87442,x87441)) % 199.45/199.84 [8838]~P42(x88382)+~P42(x88381)+E(f330(f313(a928,a1,f103(a1)),f330(f330(f104(f935(a928,a923)),f330(f313(a1,a928,a107),x88381)),f330(f313(a1,a928,a107),x88382))),f330(f330(f104(f935(a1,a923)),x88381),x88382)) % 199.45/199.84 [8839]~P42(x88392)+~P42(x88391)+E(f330(f313(a928,a1,f103(a1)),f330(f330(f113(f935(a928,a923)),f330(f313(a1,a928,a107),x88391)),f330(f313(a1,a928,a107),x88392))),f330(f330(f113(f935(a1,a923)),x88391),x88392)) % 199.45/199.84 [9508]~P95(x95081)+~E(f330(f106(x95081),x95082),f80(x95081))+P29(x95081,f330(f106(x95081),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f81(a1),x95082)))) % 199.45/199.84 [9750]~P95(x97501)+E(f330(f106(x97501),x97502),f80(x97501))+~P29(x97501,f330(f106(x97501),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f81(a1),x97502)))) % 199.45/199.84 [10501]E(x105011,f2(a1))+E(x105012,f2(a1))+E(f330(f261(a1,a1,a1,a1,f33(a1),f330(f83(a1),f84(a1,x105012))),f330(f330(f330(f99(f934(a1,a1)),f330(f330(a327,f84(a1,x105011)),f84(a1,x105012))),f54(x105011,x105012)),f330(f330(f260(a1,a1,f934(a1,a1)),f330(f330(f18(a1,f935(a1,f934(a1,a1)),f935(a1,f934(a1,a1))),f330(f330(f8(f935(a1,f935(f934(a1,a1),f934(a1,a1))),f935(f935(a1,f934(a1,a1)),f935(a1,f934(a1,a1))),a1),f18(a1,f934(a1,a1),f934(a1,a1))),f330(f330(f8(f934(a1,a1),f935(a1,f935(f934(a1,a1),f934(a1,a1))),a1),f330(f7(a1,f934(a1,a1),f935(f934(a1,a1),f934(a1,a1))),f330(f330(f8(a923,f935(f934(a1,a1),f935(f934(a1,a1),f934(a1,a1))),a1),f99(f934(a1,a1))),f330(f330(f7(a1,a1,a923),a327),f2(a1))))),f330(f330(f7(a1,a1,f934(a1,a1)),f330(f330(f8(a1,f935(a1,f934(a1,a1)),a1),f255(a1,a1)),f81(a1))),f2(a1))))),f330(f330(f7(a1,f935(a1,a1),f935(a1,f934(a1,a1))),f330(f330(f8(f935(a1,f934(a1,a1)),f935(f935(a1,a1),f935(a1,f934(a1,a1))),a1),f8(a1,f934(a1,a1),a1)),f330(f330(f8(a1,f935(a1,f934(a1,a1)),a1),f255(a1,a1)),f330(f330(f7(a1,a1,a1),f330(f330(f8(a1,f935(a1,a1),a1),f23(a1)),f81(a1))),f80(a1))))),f330(f23(a1),f330(f77(a1),x105012))))),f54(x105011,x105012)))),f47(x105011,x105012)) % 199.45/199.84 [10502]E(x105021,f2(a1))+E(x105022,f2(a1))+E(f330(f261(a1,a1,a1,a1,f33(a1),f330(f83(a1),f84(a1,x105022))),f330(f330(f330(f99(f934(a1,a1)),f330(f330(a329,f330(f330(a328,f330(f330(f239(a1),f2(a1)),x105022)),f330(f330(f238(a1),f2(a1)),x105021))),f330(f330(a328,f330(f330(f239(a1),x105022),f2(a1))),f330(f330(f239(a1),x105021),f2(a1))))),f54(x105021,x105022)),f330(f330(f260(a1,a1,f934(a1,a1)),f330(f330(f18(a1,f935(a1,f934(a1,a1)),f935(a1,f934(a1,a1))),f330(f330(f8(f935(a1,f935(f934(a1,a1),f934(a1,a1))),f935(f935(a1,f934(a1,a1)),f935(a1,f934(a1,a1))),a1),f18(a1,f934(a1,a1),f934(a1,a1))),f330(f330(f8(f934(a1,a1),f935(a1,f935(f934(a1,a1),f934(a1,a1))),a1),f330(f7(a1,f934(a1,a1),f935(f934(a1,a1),f934(a1,a1))),f330(f330(f8(a923,f935(f934(a1,a1),f935(f934(a1,a1),f934(a1,a1))),a1),f99(f934(a1,a1))),f330(f330(f7(a1,a1,a923),a327),f2(a1))))),f330(f330(f7(a1,a1,f934(a1,a1)),f330(f330(f8(a1,f935(a1,f934(a1,a1)),a1),f255(a1,a1)),f81(a1))),f2(a1))))),f330(f330(f7(a1,f935(a1,a1),f935(a1,f934(a1,a1))),f330(f330(f8(f935(a1,f934(a1,a1)),f935(f935(a1,a1),f935(a1,f934(a1,a1))),a1),f8(a1,f934(a1,a1),a1)),f330(f330(f8(a1,f935(a1,f934(a1,a1)),a1),f255(a1,a1)),f330(f330(f7(a1,a1,a1),f330(f330(f8(a1,f935(a1,a1),a1),f23(a1)),f81(a1))),f80(a1))))),f330(f23(a1),f330(f77(a1),x105022))))),f54(x105021,x105022)))),f47(x105021,x105022)) % 199.45/199.84 [5971]~P121(x59711)+~P95(x59711)+E(f330(f77(x59711),f330(f330(f247(x59711),f330(f106(x59711),a100)),x59712)),f80(x59711)) % 199.45/199.84 [6471]~P145(x64711)+~P108(f330(f330(f239(a1),x64712),f2(a1)))+E(f330(f81(x64711),f330(f103(x64711),f330(a107,f330(f81(a1),x64712)))),f330(f105(x64711),x64712)) % 199.45/199.84 [6674]P108(f330(f330(f238(a102),x66741),f80(a102)))+E(f330(f330(f82(a102),f80(a102)),f275(x66741,f330(f330(f37(a102),x66742),x66741))),f275(x66741,x66742))+P108(f330(f330(f239(a102),x66742),x66741)) % 199.45/199.84 [7276]~P93(x72761)+~P108(f330(f330(f332(x72761),x72762),f112(x72761)))+~E(f330(f330(f82(x72761),f330(f330(f82(x72761),f80(x72761)),x72762)),x72762),f2(x72761)) % 199.45/199.84 [7392]~P108(f330(f330(f238(a1),x73922),f2(a1)))+~P108(f330(f330(f239(a1),x73921),f2(a1)))+E(f330(f254(a1,a1),f330(a52,f48(f330(f81(a1),x73921),f330(f81(a1),x73922)))),f330(f330(f37(a1),x73921),x73922)) % 199.45/199.84 [7409]~P108(f330(f330(f238(a1),x74092),f2(a1)))+~P108(f330(f330(f239(a1),x74091),f2(a1)))+E(f330(f259(a1,a1),f330(a52,f48(f330(f81(a1),x74091),f330(f81(a1),x74092)))),f46(a1,x74091,x74092)) % 199.45/199.84 [7417]~P108(f330(f330(f239(a1),x74172),f2(a1)))+E(f330(f254(a1,a1),f330(a52,f51(f330(f81(a1),x74171),f330(f81(a1),x74172)))),f330(f330(f37(a1),x74171),x74172))+~P108(f330(f330(f239(a1),f2(a1)),x74171)) % 199.45/199.84 [7435]~P108(f330(f330(f239(a1),x74352),f2(a1)))+E(f330(f259(a1,a1),f330(a52,f51(f330(f81(a1),x74351),f330(f81(a1),x74352)))),f46(a1,x74351,x74352))+~P108(f330(f330(f239(a1),f2(a1)),x74351)) % 199.45/199.84 [7488]E(f330(f330(f37(a1),f330(f330(f247(a1),x74881),x74882)),x74881),f330(f330(f247(a1),x74881),f330(f330(f23(a928),x74882),f330(a115,f2(a928)))))+~P108(f330(f330(f239(a928),f2(a928)),x74882))+~P108(f330(f330(f239(a1),f2(a1)),x74881)) % 199.45/199.84 [7590]~P108(f330(f330(f239(a928),f2(a928)),x75901))+~P108(f330(f330(f239(a928),f2(a928)),x75902))+P108(f330(f330(f239(a928),f330(f330(f23(a928),x75901),x75902)),x75901)) % 199.45/199.84 [7591]~P108(f330(f330(f239(a928),f2(a928)),x75911))+~P108(f330(f330(f239(a928),f80(a928)),x75912))+P108(f330(f330(f239(a928),f330(f330(f37(a928),x75911),x75912)),x75911)) % 199.45/199.84 [7592]~P108(f330(f330(f239(a1),f2(a1)),x75921))+~P108(f330(f330(f239(a1),f80(a1)),x75922))+P108(f330(f330(f239(a1),f330(f330(f37(a1),x75921),x75922)),x75921)) % 199.45/199.84 [7727]E(x77271,f2(a928))+~E(x77272,f2(a1))+~P108(f330(f330(f239(a1),f2(a1)),f330(f330(f247(a1),f330(f77(a1),x77272)),x77271))) % 199.45/199.84 [8144]~E(x81442,f116(f929(x81441)))+E(f330(f192(f929(f929(x81441))),f182(x81441,x81442)),f2(a928))+~P13(a928,f330(f171(a928),f330(f330(f157(f929(x81441),a928),f192(f929(x81441))),x81442))) % 199.45/199.84 [8395]P108(f330(x83951,x83952))+~P108(f330(x83951,f330(a109,f570(x83951,x83952))))+~P108(f330(f330(f332(f935(f934(a928,a928),a923)),x83952),a101)) % 199.45/199.84 [8411]E(x84111,f116(f929(x84112)))+E(f330(f192(f929(x84112)),f330(f330(f167(f929(x84112)),x84111),f2(a928))),f330(f192(f929(f929(x84112))),f182(x84112,x84111)))+~P13(a928,f330(f171(a928),f330(f330(f157(f929(x84112),a928),f192(f929(x84112))),x84111))) % 199.45/199.84 [8552]~P40(x85521,x85522)+~P41(x85521,x85522)+P40(x85521,f330(f330(f23(f935(f934(x85521,x85521),a923)),x85522),f310(x85521,f191(f935(f934(x85521,x85521),a923))))) % 199.45/199.84 [9123]~P108(f330(f62(x91231),f330(f265(x91231),x91232)))+~P108(f330(f62(x91231),f245(f935(x91231,a923))))+P108(f330(f62(x91231),f330(f265(x91231),f330(f330(f8(a923,a923,x91231),a325),x91232)))) % 199.45/199.84 [9190]E(f330(f330(f255(a928,a928),f330(a115,f330(f330(f37(a928),f330(f330(f23(a928),x91901),x91902)),x91902))),f46(a928,f330(f330(f23(a928),x91901),x91902),x91902)),f87(f934(a928,a928),f49(x91901,x91902)))+~P108(f330(f330(f239(a928),f2(a928)),x91902))+~P108(f330(f330(f238(a928),x91902),x91901)) % 199.45/199.84 [9474]~P108(f330(f62(x94741),f330(f265(x94741),x94742)))+P108(f330(f62(x94741),f245(f935(x94741,a923))))+~P108(f330(f62(x94741),f330(f265(x94741),f330(f330(f8(a923,a923,x94741),a325),x94742)))) % 199.45/199.84 [10192]P27(x101921,x101922)+~P39(x101921,f330(f254(f935(f934(x101921,x101921),a923),f935(f934(x101921,x101921),a923)),x101922))+~P108(f330(f330(f238(f935(f934(x101921,x101921),a923)),f330(f330(f292(x101921,x101921,x101921),f330(f254(f935(f934(x101921,x101921),a923),f935(f934(x101921,x101921),a923)),x101922)),f330(f259(f935(f934(x101921,x101921),a923),f935(f934(x101921,x101921),a923)),x101922))),f330(f254(f935(f934(x101921,x101921),a923),f935(f934(x101921,x101921),a923)),x101922))) % 199.45/199.84 [10277]~E(f300(a928,f290(a928),f330(f330(f18(a928,f935(a928,a923),f935(a928,a923)),f330(f330(f8(f935(a928,f935(a923,a923)),f935(f935(a928,a923),f935(a928,a923)),a928),f18(a928,a923,a923)),f330(f330(f8(f935(a928,a923),f935(a928,f935(a923,a923)),a928),f330(f8(a923,f935(a923,a923),a928),a328)),f290(a928)))),f330(f330(f8(f935(a928,a923),f935(a928,a923),a928),f330(f8(a923,a923,a928),a325)),f330(f7(a928,a928,a923),f290(a928)))),x102772,x102771),f191(f935(a928,a923)))+~P108(f330(f330(f290(a928),x102772),x102771))+P108(f330(f330(f290(a928),x102771),x102772)) % 199.45/199.84 [7518]~P108(f330(f330(f239(a928),f2(a928)),x75182))+P108(f330(f330(f239(a928),x75181),x75182))+E(f330(a115,f330(f330(f37(a928),f330(f330(f23(a928),x75181),x75182)),x75182)),f330(f330(f37(a928),x75181),x75182)) % 199.45/199.84 [7653]~P108(f330(f330(f239(a928),f2(a928)),x76532))+~P108(f330(f330(f238(a928),x76532),x76531))+E(f330(a115,f330(f330(f37(a928),f330(f330(f23(a928),x76531),x76532)),x76532)),f330(f330(f37(a928),x76531),x76532)) % 199.45/199.84 [8615]~P95(x86151)+~P93(x86151)+~P29(x86151,f330(f106(x86151),f330(f330(f23(a1),f330(f330(f82(a1),x86152),x86152)),a100))) % 199.45/199.84 [9382]E(x93821,f2(a928))+E(f330(f330(f260(a928,a928,f934(a928,a928)),f330(f330(f8(a928,f935(a928,f934(a928,a928)),a928),f255(a928,a928)),a115)),f87(f934(a928,a928),f49(f330(f330(f23(a928),x93822),x93821),x93821))),f87(f934(a928,a928),f49(x93822,x93821)))+P108(f330(f330(f239(a928),x93822),x93821)) % 199.45/199.84 [9560]~P40(x95601,x95602)+~P54(x95601,x95602)+P108(f330(f330(f238(f935(f934(x95601,x95601),a923)),f330(f330(f292(x95601,x95601,x95601),f330(f289(x95601,x95601),x95602)),x95602)),x95602)) % 199.45/199.84 [9814]P108(f330(x98142,f650(x98142,x98141)))+P108(f330(x98141,f650(x98142,x98141)))+E(f330(f265(a1),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f238(a1),f2(a1)))),x98141)),f330(f265(a1),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f238(a1),f2(a1)))),x98142))) % 199.45/199.84 [9818]~P108(f330(x98182,f650(x98182,x98181)))+~P108(f330(x98181,f650(x98182,x98181)))+E(f330(f265(a1),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f238(a1),f2(a1)))),x98181)),f330(f265(a1),f330(f330(f18(a1,a923,a923),f330(f330(f8(a923,f935(a923,a923),a1),a328),f330(f238(a1),f2(a1)))),x98182))) % 199.45/199.84 [7864]~P95(x78641)+~P67(x78641)+E(f330(f330(f294(x78641),x78642),f330(f106(x78641),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),x78642) % 199.45/199.84 [9507]~P95(x95071)+~E(f330(f106(x95071),x95072),f80(x95071))+P29(x95071,f330(f106(x95071),f330(f330(f82(a1),x95072),f330(f81(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 199.45/199.84 [9691]~P146(x96911)+~E(x96912,f80(x96911))+E(f330(f330(f247(x96911),x96912),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f80(x96911)) % 199.45/199.84 [9692]~P146(x96921)+~E(x96922,f2(x96921))+E(f330(f330(f247(x96921),x96922),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f2(x96921)) % 199.45/199.84 [9707]~P146(x97071)+~E(x97072,f330(f81(x97071),f80(x97071)))+E(f330(f330(f247(x97071),x97072),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f80(x97071)) % 199.45/199.84 [9751]~P95(x97511)+E(f330(f106(x97511),x97512),f80(x97511))+~P29(x97511,f330(f106(x97511),f330(f330(f82(a1),x97512),f330(f81(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 199.45/199.84 [10134]~P121(x101342)+E(x101341,f2(x101342))+P108(f330(f330(f239(x101342),f2(x101342)),f330(f330(f247(x101342),x101341),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 199.45/199.84 [10191]~P121(x101912)+~E(x101911,f2(x101912))+~P108(f330(f330(f239(x101912),f2(x101912)),f330(f330(f247(x101912),x101911),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 199.45/199.84 [10218]P108(f330(f330(f238(a1),x102181),f2(a1)))+P108(f330(f330(f239(a1),x102182),x102181))+E(f330(f44(x102181),f48(x102182,f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102181))),f48(x102182,x102181)) % 199.45/199.84 [10219]~P108(f330(f330(f239(a1),f2(a1)),x102191))+P108(f330(f330(f239(a1),x102192),x102191))+E(f330(f44(x102191),f48(x102192,f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102191))),f48(x102192,x102191)) % 199.45/199.84 [10220]P108(f330(f330(f238(a1),x102201),f2(a1)))+P108(f330(f330(f238(a1),f2(a1)),f330(f330(f82(a1),x102202),x102201)))+E(f330(f44(x102201),f51(x102202,f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102201))),f51(x102202,x102201)) % 199.45/199.84 [10221]~P108(f330(f330(f239(a1),f2(a1)),x102211))+P108(f330(f330(f238(a1),f2(a1)),f330(f330(f82(a1),x102212),x102211)))+E(f330(f44(x102211),f51(x102212,f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102211))),f51(x102212,x102211)) % 199.45/199.84 [10222]~P148(x102221)+~P108(f330(f330(f238(a1),f2(a1)),x102222))+E(f330(f103(x102221),f330(a107,f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102222))),f330(f330(f82(x102221),f330(f103(x102221),f330(a107,x102222))),f330(f103(x102221),f330(a107,x102222)))) % 199.45/199.84 [5305]~P150(x53051,x53052,x53053)+~E(x53053,f2(a1))+P108(f330(x53051,x53052)) % 199.45/199.84 [5428]~P110(x54281)+~P13(x54281,x54283)+P13(x54281,f173(x54281,x54282,x54283)) % 199.45/199.84 [5429]~P110(x54291)+~P13(x54291,x54293)+P13(x54291,f180(x54291,x54292,x54293)) % 199.45/199.84 [4999]~P77(x49992)+~E(x49993,f330(f81(x49992),x49991))+E(x49991,f330(f81(x49992),x49993)) % 199.45/199.84 [5001]~P77(x50011)+~E(f330(f81(x50011),x50013),x50012)+E(f330(f81(x50011),x50012),x50013) % 199.45/199.84 [5080]~P96(x50803)+E(x50801,x50802)+~E(f330(f103(x50803),x50801),f330(f103(x50803),x50802)) % 199.45/199.84 [5081]~P77(x50813)+E(x50811,x50812)+~E(f330(f81(x50813),x50811),f330(f81(x50813),x50812)) % 199.45/199.84 [5082]~P97(x50823)+E(x50821,x50822)+~E(f330(f81(x50823),x50821),f330(f81(x50823),x50822)) % 199.45/199.84 [5083]~P93(x50833)+E(x50831,x50832)+~E(f330(f105(x50833),x50831),f330(f105(x50833),x50832)) % 199.45/199.84 [5084]~P110(x50843)+E(x50841,x50842)+~E(f330(f285(x50843),x50841),f330(f285(x50843),x50842)) % 199.45/199.84 [5085]~P110(x50853)+E(x50851,x50852)+~E(f330(f304(x50853),x50851),f330(f304(x50853),x50852)) % 199.45/199.84 [5086]~P110(x50863)+E(x50861,x50862)+~E(f330(f286(x50863),x50861),f330(f286(x50863),x50862)) % 199.45/199.84 [5087]~P110(x50873)+E(x50871,x50872)+~E(f330(f307(x50873),x50871),f330(f307(x50873),x50872)) % 199.45/199.84 [5189]~P65(x51891)+~P108(f330(x51892,x51893))+P108(f330(f57(x51891),x51892)) % 199.45/199.84 [5225]~P65(x52253)+P108(f330(x52251,x52252))+~P108(f330(f58(x52253),x52251)) % 199.45/199.84 [5325]~P151(x53251,x53253,x53252)+~E(x53252,f2(a1))+P108(f330(x53251,f2(a1))) % 199.45/199.84 [5364]~E(x53641,f2(a928))+E(f829(x53641,x53642,x53643),f191(f935(x53643,a923)))+~E(f330(f36(x53643),x53642),f330(a115,x53641)) % 199.45/199.84 [5512]~E(x55122,f2(a928))+E(f330(f254(a928,a928),x55121),f2(a928))+~P108(f330(f49(x55123,x55122),x55121)) % 199.45/199.84 [5556]P108(f330(x55561,x55562))+~E(x55563,f330(f103(a1),x55562))+~P108(f330(x55561,f330(a107,x55563))) % 199.45/199.84 [6035]~E(x60353,f2(a928))+~P108(f330(x60351,x60352))+P108(f330(x60351,f46(a928,x60352,x60353))) % 199.45/199.84 [6270]~P106(x62702)+~P106(x62701)+E(f134(x62701,x62702,f135(x62701,x62703),f135(x62702,x62703)),f135(f934(x62701,x62702),x62703)) % 199.45/199.84 [6452]~E(x64523,f2(a928))+P108(f330(x64521,x64522))+~P108(f330(x64521,f46(a928,x64522,x64523))) % 199.45/199.84 [7133]E(x71331,f2(a928))+~P108(f330(x71332,f346(x71331,x71333,x71332)))+P108(f330(x71332,f46(a928,x71333,x71331))) % 199.45/199.84 [7242]~P5(x72421)+~P108(f330(f330(f238(x72421),x72422),f519(x72423,x72422,x72421)))+P108(f330(f330(f238(x72421),x72422),f39(x72421,x72423))) % 199.45/199.84 [7244]~P108(f330(x72441,x72442))+~P108(f330(x72441,f346(x72443,x72442,x72441)))+P108(f330(x72441,f46(a928,x72442,x72443))) % 199.45/199.84 [7347]E(x73471,f116(x73472))+E(f330(f330(f154(x73472),f699(x73473,x73471,x73472)),f703(x73473,x73471,x73472)),x73471)+~P108(f330(f330(f332(f929(x73472)),x73471),f164(x73472,x73473))) % 199.45/199.84 [7379]~P145(x73791)+~P108(f330(f330(f332(x73791),x73792),f112(x73791)))+P108(f330(f330(f332(x73791),f330(f330(f247(x73791),x73792),x73793)),f112(x73791))) % 199.45/199.84 [7699]P39(x76991,x76992)+~P108(f330(f330(f332(x76991),x76993),f622(x76992,x76991)))+P108(f330(f330(f332(x76991),f649(x76992,x76991,x76993)),f622(x76992,x76991))) % 199.45/199.84 [7967]E(x79671,f116(x79672))+~P108(f330(f330(f332(f929(x79672)),x79671),f164(x79672,x79673)))+P108(f330(f330(f332(f929(x79672)),f703(x79673,x79671,x79672)),f164(x79672,x79673))) % 199.45/199.84 [8019]E(x80191,f2(a928))+E(f330(f330(f82(a928),f330(f330(f83(a928),x80191),f348(x80191,x80192,x80193))),f346(x80191,x80192,x80193)),x80192)+P108(f330(x80193,f46(a928,x80192,x80191))) % 199.45/199.84 [8060]~P108(f330(x80603,x80602))+E(f330(f330(f82(a928),f330(f330(f83(a928),x80601),f348(x80601,x80602,x80603))),f346(x80601,x80602,x80603)),x80602)+P108(f330(x80603,f46(a928,x80602,x80601))) % 199.45/199.84 [8200]P108(f330(f330(f239(a1),x82001),f340(x82002,x82003,x82001)))+P108(f330(f330(x82003,f330(f330(f37(a1),x82002),x82001)),f46(a1,x82002,x82001)))+~P108(f330(f330(f239(a1),x82001),f2(a1))) % 199.45/199.84 [8466]P108(f330(f330(x84662,f330(f330(f37(a1),x84661),x84663)),f46(a1,x84661,x84663)))+~P108(f330(f330(f239(a1),x84663),f2(a1)))+P108(f330(f330(f238(a1),f340(x84661,x84662,x84663)),f2(a1))) % 199.45/199.84 [8650]E(f330(f330(f82(a1),f330(f330(f83(a1),x86501),f343(x86502,x86503,x86501))),f340(x86502,x86503,x86501)),x86502)+P108(f330(f330(x86503,f330(f330(f37(a1),x86502),x86501)),f46(a1,x86502,x86501)))+~P108(f330(f330(f239(a1),x86501),f2(a1))) % 199.45/199.84 [8886]~P108(f330(f330(x88861,f343(x88862,x88861,x88863)),f340(x88862,x88861,x88863)))+P108(f330(f330(x88861,f330(f330(f37(a1),x88862),x88863)),f46(a1,x88862,x88863)))+~P108(f330(f330(f239(a1),x88863),f2(a1))) % 199.45/199.84 [9136]~P110(x91361)+~P13(x91361,x91363)+P13(x91361,f152(x91361,x91361,f5(x91361),x91362,x91363)) % 199.45/199.84 [9637]~P129(x96372)+E(x96371,f2(x96372))+~P108(f330(f330(f238(x96372),f330(f330(f82(x96372),f330(f330(f83(x96372),x96373),x96373)),f330(f330(f83(x96372),x96371),x96371))),f2(x96372))) % 199.45/199.84 [9638]~P129(x96382)+E(x96381,f2(x96382))+~P108(f330(f330(f238(x96382),f330(f330(f82(x96382),f330(f330(f83(x96382),x96381),x96381)),f330(f330(f83(x96382),x96383),x96383))),f2(x96382))) % 199.45/199.84 [10433]~P121(x104331)+~P108(f330(f330(f239(x104331),x104332),f2(x104331)))+P108(f330(f330(f239(x104331),f330(f330(f247(x104331),x104332),f330(a115,f330(f330(f83(a928),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x104333)))),f2(x104331))) % 199.45/199.84 [10443]~P121(x104432)+E(x104431,f2(x104432))+~P108(f330(f330(f238(x104432),f330(f330(f82(x104432),f330(f330(f247(x104432),x104433),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f247(x104432),x104431),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))),f2(x104432))) % 199.45/199.84 [10444]~P121(x104442)+E(x104441,f2(x104442))+~P108(f330(f330(f238(x104442),f330(f330(f82(x104442),f330(f330(f247(x104442),x104441),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f247(x104442),x104443),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))),f2(x104442))) % 199.45/199.84 [5035]~E(x50352,x50353)+~P3(x50351)+E(f330(f330(f23(x50351),x50352),x50353),f2(x50351)) % 199.45/199.84 [5036]~E(x50362,x50363)+~P77(x50361)+E(f330(f330(f23(x50361),x50362),x50363),f2(x50361)) % 199.45/199.84 [5049]~P130(x50491)+~E(x50493,f2(x50491))+E(f330(f330(f82(x50491),x50492),x50493),x50492) % 199.45/199.84 [5066]~P144(x50661)+~E(x50663,f2(x50661))+E(f330(f330(f83(x50661),x50662),x50663),f2(x50661)) % 199.45/199.84 [5067]~P144(x50671)+~E(x50672,f2(x50671))+E(f330(f330(f83(x50671),x50672),x50673),f2(x50671)) % 199.45/199.84 [5089]~E(x50893,f116(x50891))+~E(x50892,f116(x50891))+E(f330(f330(f137(x50891),x50892),x50893),f116(x50891)) % 199.45/199.84 [5179]~P130(x51792)+E(x51791,f2(x51792))+~E(f330(f330(f82(x51792),x51793),x51791),x51793) % 199.45/199.84 [5180]~P77(x51801)+~E(x51802,f330(f81(x51801),x51803))+E(f330(f330(f82(x51801),x51802),x51803),f2(x51801)) % 199.45/199.84 [5187]E(x51871,f116(x51872))+E(x51873,f2(a928))+~E(f330(f330(f178(x51872),x51873),x51871),f116(x51872)) % 199.45/199.84 [5193]~P3(x51933)+E(x51931,x51932)+~E(f330(f330(f23(x51933),x51931),x51932),f2(x51933)) % 199.45/199.84 [5194]~P77(x51943)+E(x51941,x51942)+~E(f330(f330(f23(x51943),x51941),x51942),f2(x51943)) % 199.45/199.84 [5207]~P146(x52072)+E(x52071,f2(x52072))+~E(f330(f330(f247(x52072),x52071),x52073),f2(x52072)) % 199.45/199.84 [5208]~P100(x52082)+E(x52081,f191(x52082))+~E(f330(f330(f113(x52082),x52083),x52081),f191(x52082)) % 199.45/199.84 [5209]~P100(x52092)+E(x52091,f191(x52092))+~E(f330(f330(f113(x52092),x52091),x52093),f191(x52092)) % 199.45/199.84 [5210]~P103(x52102)+E(x52101,f245(x52102))+~E(f330(f330(f104(x52102),x52103),x52101),f245(x52102)) % 199.45/199.84 [5211]~P103(x52112)+E(x52111,f245(x52112))+~E(f330(f330(f104(x52112),x52111),x52113),f245(x52112)) % 199.45/199.84 [5279]~P77(x52792)+E(x52791,f330(f81(x52792),x52793))+~E(f330(f330(f82(x52792),x52791),x52793),f2(x52792)) % 199.45/199.85 [5280]~P77(x52801)+E(f330(f81(x52801),x52802),x52803)+~E(f330(f330(f82(x52801),x52802),x52803),f2(x52801)) % 199.45/199.85 [5282]~E(x52822,x52823)+~P109(x52821)+P108(f330(f330(f238(x52821),x52822),x52823)) % 199.45/199.85 [5284]~E(x52842,x52843)+~P112(x52841)+P108(f330(f330(f238(x52841),x52842),x52843)) % 199.45/199.85 [5381]~P123(x53811)+~E(x53812,f330(f81(x53811),x53813))+E(f330(f330(f83(x53811),x53812),x53812),f330(f330(f83(x53811),x53813),x53813)) % 199.45/199.85 [5389]~P110(x53891)+~P13(x53891,x53893)+P13(x53891,f330(f330(f178(x53891),x53892),x53893)) % 199.45/199.85 [5390]~P110(x53901)+~P13(x53901,x53903)+P13(x53901,f330(f330(f141(x53901),x53902),x53903)) % 199.45/199.85 [5426]E(x54261,x54262)+E(x54263,f2(a928))+~E(f330(f330(f83(a928),x54263),x54261),f330(f330(f83(a928),x54263),x54262)) % 199.45/199.85 [5427]E(x54271,x54272)+E(x54273,f2(a928))+~E(f330(f330(f83(a928),x54271),x54273),f330(f330(f83(a928),x54272),x54273)) % 199.45/199.85 [5505]~E(x55052,x55053)+~P112(x55051)+E(f306(x55051,x55052,x55053),f330(f330(f312(x55051),x55052),f191(f935(x55051,a923)))) % 199.45/199.85 [5554]~E(x55541,x55542)+~P110(x55543)+~P108(f330(f330(f239(x55543),x55541),x55542)) % 199.45/199.85 [5555]~E(x55551,x55552)+~P112(x55553)+~P108(f330(f330(f239(x55553),x55551),x55552)) % 199.45/199.85 [5567]~P112(x55671)+E(f330(f305(x55671,x55672),x55673),f191(f935(x55671,a923)))+P108(f330(f330(f239(x55671),x55672),x55673)) % 199.45/199.85 [5615]~P112(x56151)+E(f308(x56151,x56152,x56153),f191(f935(x56151,a923)))+P108(f330(f330(f239(x56151),x56152),x56153)) % 199.45/199.85 [5616]~P112(x56161)+E(f306(x56161,x56162,x56163),f191(f935(x56161,a923)))+P108(f330(f330(f238(x56161),x56162),x56163)) % 199.45/199.85 [5617]~P112(x56171)+E(f191(f935(x56171,a923)),f308(x56171,x56172,x56173))+P108(f330(f330(f239(x56171),x56172),x56173)) % 199.45/199.85 [5618]~P112(x56181)+E(f191(f935(x56181,a923)),f306(x56181,x56182,x56183))+P108(f330(f330(f238(x56181),x56182),x56183)) % 199.45/199.85 [5626]~P110(x56261)+~E(f330(f330(f236(x56261),x56262),x56263),x56262)+P108(f330(f330(f238(x56261),x56262),x56263)) % 199.45/199.85 [5627]~P110(x56271)+~E(f330(f330(f237(x56271),x56272),x56273),x56273)+P108(f330(f330(f238(x56271),x56272),x56273)) % 199.45/199.85 [5628]~P104(x56281)+~E(f330(f330(f104(x56281),x56282),x56283),x56282)+P108(f330(f330(f238(x56281),x56282),x56283)) % 199.45/199.85 [5629]~P105(x56291)+~E(f330(f330(f113(x56291),x56292),x56293),x56293)+P108(f330(f330(f238(x56291),x56292),x56293)) % 199.45/199.85 [5648]~P110(x56481)+P13(x56481,x56482)+~P13(x56481,f330(f330(f154(x56481),x56483),x56482)) % 199.45/199.85 [5649]~P110(x56491)+P13(x56491,x56492)+~P13(x56491,f330(f330(f137(x56491),x56493),x56492)) % 199.45/199.85 [5650]~P110(x56501)+P13(x56501,x56502)+~P13(x56501,f330(f330(f137(x56501),x56502),x56503)) % 199.45/199.85 [5715]~P110(x57151)+P108(f330(f330(f238(x57151),x57153),x57152))+P108(f330(f330(f238(x57151),x57152),x57153)) % 199.45/199.85 [5720]~P110(x57201)+P108(f330(f330(f239(x57201),x57203),x57202))+P108(f330(f330(f238(x57201),x57202),x57203)) % 199.45/199.85 [5758]~P110(x57581)+E(f330(f330(f236(x57581),x57582),x57583),x57583)+~P108(f330(f330(f238(x57581),x57583),x57582)) % 199.45/199.85 [5760]~P110(x57601)+E(f330(f330(f236(x57601),x57602),x57603),x57602)+~P108(f330(f330(f238(x57601),x57602),x57603)) % 199.45/199.85 [5761]~P110(x57611)+E(f330(f330(f237(x57611),x57612),x57613),x57612)+~P108(f330(f330(f238(x57611),x57613),x57612)) % 199.45/199.85 [5763]~P110(x57631)+E(f330(f330(f237(x57631),x57632),x57633),x57633)+~P108(f330(f330(f238(x57631),x57632),x57633)) % 199.45/199.85 [5764]~P104(x57641)+E(f330(f330(f104(x57641),x57642),x57643),x57643)+~P108(f330(f330(f238(x57641),x57643),x57642)) % 199.45/199.85 [5766]~P104(x57661)+E(f330(f330(f104(x57661),x57662),x57663),x57662)+~P108(f330(f330(f238(x57661),x57662),x57663)) % 199.45/199.85 [5767]~P105(x57671)+E(f330(f330(f113(x57671),x57672),x57673),x57672)+~P108(f330(f330(f238(x57671),x57673),x57672)) % 199.45/199.85 [5769]~P105(x57691)+E(f330(f330(f113(x57691),x57692),x57693),x57693)+~P108(f330(f330(f238(x57691),x57692),x57693)) % 199.45/199.85 [5776]~P125(x57762)+E(x57761,f2(x57762))+E(f330(f330(f294(x57762),f330(f81(x57762),x57763)),f330(f81(x57762),x57761)),f330(f330(f294(x57762),x57763),x57761)) % 199.45/199.85 [5828]~P112(x58281)+E(f330(f305(x58281,x58282),x58283),f191(f935(x58281,a923)))+~P108(f330(f330(f238(x58281),x58283),x58282)) % 199.45/199.85 [5860]~P112(x58601)+E(f309(x58601,x58602,x58603),f191(f935(x58601,a923)))+~P108(f330(f330(f238(x58601),x58603),x58602)) % 199.45/199.85 [5861]~P112(x58611)+E(f308(x58611,x58612,x58613),f191(f935(x58611,a923)))+~P108(f330(f330(f238(x58611),x58613),x58612)) % 199.45/199.85 [5862]~P112(x58621)+E(f306(x58621,x58622,x58623),f191(f935(x58621,a923)))+~P108(f330(f330(f239(x58621),x58623),x58622)) % 199.45/199.85 [5914]~E(f330(f330(f23(a928),x59141),x59143),x59142)+E(x59141,f330(f330(f82(a928),x59142),x59143))+~P108(f330(f330(f238(a928),x59143),x59141)) % 199.45/199.85 [5915]~E(x59151,f330(f330(f82(a928),x59153),x59152))+E(f330(f330(f23(a928),x59151),x59152),x59153)+~P108(f330(f330(f238(a928),x59152),x59151)) % 199.45/199.85 [5960]~P108(f330(x59601,x59603))+P108(f330(x59601,f428(x59601,x59602)))+~P108(f330(f330(f238(a928),x59603),x59602)) % 199.45/199.85 [5961]~P108(f330(x59611,x59613))+P108(f330(x59611,f443(x59611,x59612)))+~P108(f330(f330(f239(a928),x59613),x59612)) % 199.45/199.85 [5969]~P112(x59691)+~E(f330(f305(x59691,x59692),x59693),f191(f935(x59691,a923)))+~P108(f330(f330(f239(x59691),x59692),x59693)) % 199.45/199.85 [5974]~P109(x59741)+~P108(f330(f330(f239(x59741),x59742),x59743))+P108(f330(f330(f238(x59741),x59742),x59743)) % 199.45/199.85 [5976]~P112(x59761)+~P108(f330(f330(f239(x59761),x59762),x59763))+P108(f330(f330(f238(x59761),x59762),x59763)) % 199.45/199.85 [6085]~P112(x60851)+~E(f308(x60851,x60852,x60853),f191(f935(x60851,a923)))+~P108(f330(f330(f239(x60851),x60852),x60853)) % 199.45/199.85 [6086]~P112(x60861)+~E(f306(x60861,x60862,x60863),f191(f935(x60861,a923)))+~P108(f330(f330(f238(x60861),x60862),x60863)) % 199.45/199.85 [6087]~P112(x60871)+~E(f191(f935(x60871,a923)),f308(x60871,x60872,x60873))+~P108(f330(f330(f239(x60871),x60872),x60873)) % 199.45/199.85 [6088]~P112(x60881)+~E(f191(f935(x60881,a923)),f306(x60881,x60882,x60883))+~P108(f330(f330(f238(x60881),x60882),x60883)) % 199.45/199.85 [6098]P108(f330(x60981,x60982))+~P108(f330(x60981,f429(x60981,x60983)))+~P108(f330(f330(f238(a928),x60982),x60983)) % 199.45/199.85 [6099]P108(f330(x60991,x60992))+~P108(f330(x60991,f448(x60991,x60993)))+~P108(f330(f330(f239(a928),x60992),x60993)) % 199.45/199.85 [6107]~E(x61071,f330(a115,x61073))+P108(f330(f330(f239(a928),x61071),f330(a115,x61072)))+~P108(f330(f330(f239(a928),x61073),x61072)) % 199.45/199.85 [6126]E(x61261,x61262)+~E(f330(f330(f83(a928),x61263),x61261),f330(f330(f83(a928),x61263),x61262))+~P108(f330(f330(f239(a928),f2(a928)),x61263)) % 199.45/199.85 [6186]E(f330(x61861,f451(x61861,x61862,x61863)),f80(a928))+~E(f330(f330(f6(x61863,a928),x61861),x61862),f80(a928))+~P108(f330(f62(x61863),x61862)) % 199.45/199.85 [6203]~P5(x62031)+P108(f330(f330(f238(x62031),x62032),f38(x62031,x62033)))+~P108(f330(f330(f332(x62031),x62032),x62033)) % 199.45/199.85 [6226]~P109(x62261)+~P108(f330(f330(f239(x62261),x62263),x62262))+~P108(f330(f330(f238(x62261),x62262),x62263)) % 199.45/199.85 [6230]~P109(x62301)+~P108(f330(f330(f239(x62301),x62303),x62302))+~P108(f330(f330(f239(x62301),x62302),x62303)) % 199.45/199.85 [6233]~P110(x62331)+~P108(f330(f330(f239(x62331),x62333),x62332))+~P108(f330(f330(f238(x62331),x62332),x62333)) % 199.45/199.85 [6234]~P110(x62341)+~P108(f330(f330(f239(x62341),x62343),x62342))+~P108(f330(f330(f239(x62341),x62342),x62343)) % 199.45/199.85 [6235]~P112(x62351)+~P108(f330(f330(f239(x62351),x62353),x62352))+~P108(f330(f330(f239(x62351),x62352),x62353)) % 199.45/199.85 [6255]~E(x62552,x62553)+~E(x62551,x62552)+E(f293(a928,f290(a928),x62551,x62552),f330(f330(f312(a928),x62553),f191(f935(a928,a923)))) % 199.45/199.85 [6262]~E(f330(x62622,f351(x62622,x62623,x62621)),f80(a928))+E(f330(f330(f9(x62621,a928),x62622),x62623),f80(a928))+~P108(f330(f62(x62621),x62623)) % 199.45/199.85 [6263]~E(f330(x62632,f452(x62632,x62633,x62631)),f2(a928))+E(f330(f330(f6(x62631,a928),x62632),x62633),f2(a928))+~P108(f330(f62(x62631),x62633)) % 199.45/199.85 [6279]~P111(x62791)+~P108(f330(f330(f238(x62791),x62793),x62792))+P108(f330(f330(f332(x62791),x62792),f330(f286(x62791),x62793))) % 199.45/199.85 [6280]~P111(x62801)+~P108(f330(f330(f239(x62801),x62803),x62802))+P108(f330(f330(f332(x62801),x62802),f330(f307(x62801),x62803))) % 199.45/199.85 [6281]~P111(x62811)+~P108(f330(f330(f239(x62811),x62812),x62813))+P108(f330(f330(f332(x62811),x62812),f330(f285(x62811),x62813))) % 199.45/199.85 [6282]~P111(x62821)+~P108(f330(f330(f238(x62821),x62822),x62823))+P108(f330(f330(f332(x62821),x62822),f330(f304(x62821),x62823))) % 199.45/199.85 [6294]E(f330(x62941,f477(x62941,x62942,x62943)),f330(a115,f2(a928)))+~E(f330(f330(f6(x62943,a928),x62941),x62942),f330(a115,f2(a928)))+~P108(f330(f62(x62943),x62942)) % 199.45/199.85 [6379]~P5(x63791)+~P108(f330(f330(f332(x63791),x63793),x63792))+P108(f330(f330(f238(x63791),f39(x63791,x63792)),x63793)) % 199.45/199.85 [6398]~P108(f330(f330(f238(a928),x63981),x63983))+P108(f330(f330(f238(a928),x63981),x63982))+~P108(f330(f330(f238(a928),x63983),x63982)) % 199.45/199.85 [6399]~P108(f330(f330(f238(a1),x63991),x63993))+P108(f330(f330(f238(a1),x63991),x63992))+~P108(f330(f330(f238(a1),x63993),x63992)) % 199.45/199.85 [6419]~P111(x64191)+~P108(f330(f330(f332(x64191),x64193),f330(f286(x64191),x64192)))+P108(f330(f330(f238(x64191),x64192),x64193)) % 199.45/199.85 [6420]~P111(x64201)+~P108(f330(f330(f332(x64201),x64202),f330(f304(x64201),x64203)))+P108(f330(f330(f238(x64201),x64202),x64203)) % 199.45/199.85 [6421]~P111(x64211)+~P108(f330(f330(f332(x64211),x64213),f330(f307(x64211),x64212)))+P108(f330(f330(f239(x64211),x64212),x64213)) % 199.45/199.85 [6422]~P111(x64221)+~P108(f330(f330(f332(x64221),x64222),f330(f285(x64221),x64223)))+P108(f330(f330(f239(x64221),x64222),x64223)) % 199.45/199.85 [6496]~P108(f330(x64961,x64962))+P108(f330(x64961,f803(x64961)))+~P108(f330(f330(f332(x64963),x64962),f245(f935(x64963,a923)))) % 199.45/199.85 [6638]~P68(x66381)+P108(f330(f330(f239(x66381),f2(x66381)),f430(x66383,x66382,x66381)))+P108(f330(f330(f238(x66381),x66382),x66383)) % 199.45/199.85 [6639]~P69(x66391)+P108(f330(f330(f239(x66391),f2(x66391)),f779(x66393,x66392,x66391)))+P108(f330(f330(f238(x66391),x66392),x66393)) % 199.45/199.85 [6709]~P80(x67091)+~P108(f330(f330(f238(x67091),x67093),f330(f81(x67091),x67092)))+P108(f330(f330(f238(x67091),x67092),f330(f81(x67091),x67093))) % 199.45/199.85 [6711]~P80(x67111)+~P108(f330(f330(f239(x67111),x67113),f330(f81(x67111),x67112)))+P108(f330(f330(f239(x67111),x67112),f330(f81(x67111),x67113))) % 199.45/199.85 [6723]~P108(f330(f330(f239(a928),x67231),x67233))+~P108(f330(f330(f239(a928),x67233),x67232))+P108(f330(f330(f239(a928),f330(a115,x67231)),x67232)) % 199.45/199.85 [6751]~P113(x67511)+P108(f330(f330(f238(x67511),f330(f103(x67511),x67512)),f330(f103(x67511),x67513)))+~P108(f330(f330(f238(a928),x67512),x67513)) % 199.45/199.85 [6752]~P121(x67521)+P108(f330(f330(f238(x67521),f330(f105(x67521),x67522)),f330(f105(x67521),x67523)))+~P108(f330(f330(f238(a1),x67522),x67523)) % 199.45/199.85 [6754]~P121(x67541)+P108(f330(f330(f239(x67541),f330(f105(x67541),x67542)),f330(f105(x67541),x67543)))+~P108(f330(f330(f239(a1),x67542),x67543)) % 199.45/199.85 [6755]~P113(x67551)+P108(f330(f330(f239(x67551),f330(f103(x67551),x67552)),f330(f103(x67551),x67553)))+~P108(f330(f330(f239(a928),x67552),x67553)) % 199.45/199.85 [6761]~P110(x67611)+E(f330(f330(f113(f935(x67611,a923)),f330(f285(x67611),x67612)),f330(f305(x67611,x67612),x67613)),f330(f285(x67611),x67613))+~P108(f330(f330(f238(x67611),x67612),x67613)) % 199.45/199.85 [6791]~P80(x67911)+~P108(f330(f330(f238(x67911),x67913),x67912))+P108(f330(f330(f238(x67911),f330(f81(x67911),x67912)),f330(f81(x67911),x67913))) % 199.45/199.85 [6793]~P97(x67931)+~P108(f330(f330(f238(x67931),x67933),x67932))+P108(f330(f330(f238(x67931),f330(f81(x67931),x67932)),f330(f81(x67931),x67933))) % 199.45/199.85 [6794]~P80(x67941)+~P108(f330(f330(f239(x67941),x67943),x67942))+P108(f330(f330(f239(x67941),f330(f81(x67941),x67942)),f330(f81(x67941),x67943))) % 199.45/199.85 [6828]~P110(x68281)+E(f330(f330(f113(f935(x68281,a923)),f330(f285(x68281),x68282)),f306(x68281,x68282,x68283)),f330(f304(x68281),x68283))+~P108(f330(f330(f238(x68281),x68282),x68283)) % 199.45/199.85 [6829]~P110(x68291)+E(f330(f330(f113(f935(x68291,a923)),f330(f304(x68291),x68292)),f309(x68291,x68292,x68293)),f330(f285(x68291),x68293))+~P108(f330(f330(f239(x68291),x68292),x68293)) % 199.45/199.85 [6830]~P110(x68301)+E(f330(f330(f113(f935(x68301,a923)),f330(f304(x68301),x68302)),f308(x68301,x68302,x68303)),f330(f304(x68301),x68303))+~P108(f330(f330(f238(x68301),x68302),x68303)) % 199.45/199.85 [6863]~P110(x68631)+E(f330(f330(f113(f935(x68631,a923)),f330(f305(x68631,x68632),x68633)),f330(f286(x68631),x68633)),f330(f286(x68631),x68632))+~P108(f330(f330(f238(x68631),x68632),x68633)) % 199.45/199.85 [7016]~P110(x70161)+E(f330(f330(f113(f935(x70161,a923)),f309(x70161,x70162,x70163)),f330(f286(x70161),x70163)),f330(f307(x70161),x70162))+~P108(f330(f330(f239(x70161),x70162),x70163)) % 199.45/199.85 [7017]~P110(x70171)+E(f330(f330(f113(f935(x70171,a923)),f308(x70171,x70172,x70173)),f330(f307(x70171),x70173)),f330(f307(x70171),x70172))+~P108(f330(f330(f238(x70171),x70172),x70173)) % 199.45/199.85 [7018]~P110(x70181)+E(f330(f330(f113(f935(x70181,a923)),f306(x70181,x70182,x70183)),f330(f307(x70181),x70183)),f330(f286(x70181),x70182))+~P108(f330(f330(f238(x70181),x70182),x70183)) % 199.45/199.85 [7037]P108(f330(x70371,x70372))+~P108(f330(f330(f238(a928),x70372),x70373))+P108(f330(f330(f332(a928),f429(x70371,x70373)),f306(a928,f2(a928),x70373))) % 199.45/199.85 [7071]E(x70711,x70712)+~E(f330(f330(f167(x70713),x70711),f647(x70713,x70712,x70711)),f330(f330(f167(x70713),x70712),f647(x70713,x70712,x70711)))+~E(f330(f192(f929(x70713)),x70711),f330(f192(f929(x70713)),x70712)) % 199.45/199.85 [7076]~E(x70763,f330(f330(f37(a928),x70761),x70762))+~P108(f330(f330(f239(a928),f2(a928)),x70762))+P108(f330(f330(f239(a928),x70761),f330(f330(f83(a928),x70762),f330(a115,x70763)))) % 199.45/199.85 [7092]~P108(f330(x70921,x70923))+~P108(f330(f330(f238(a928),x70923),x70922))+P108(f330(f330(f332(a928),f428(x70921,x70922)),f306(a928,f2(a928),x70922))) % 199.45/199.85 [7131]~P108(f330(x71311,x71313))+P108(f330(x71311,f444(x71311,x71312)))+~P108(f330(f330(f332(a928),x71313),f306(a928,f2(a928),x71312))) % 199.45/199.85 [7150]~P113(x71503)+~P108(f330(f330(f238(x71503),f330(f103(x71503),x71501)),f330(f103(x71503),x71502)))+P108(f330(f330(f238(a928),x71501),x71502)) % 199.45/199.85 [7151]~P121(x71513)+~P108(f330(f330(f238(x71513),f330(f105(x71513),x71511)),f330(f105(x71513),x71512)))+P108(f330(f330(f238(a1),x71511),x71512)) % 199.45/199.85 [7153]~P113(x71533)+~P108(f330(f330(f239(x71533),f330(f103(x71533),x71531)),f330(f103(x71533),x71532)))+P108(f330(f330(f239(a928),x71531),x71532)) % 199.45/199.85 [7154]~P121(x71543)+~P108(f330(f330(f239(x71543),f330(f105(x71543),x71541)),f330(f105(x71543),x71542)))+P108(f330(f330(f239(a1),x71541),x71542)) % 199.45/199.85 [7171]~P113(x71711)+~P108(f330(f330(f239(x71711),f80(x71711)),x71712))+P108(f330(f330(f239(x71711),f80(x71711)),f330(f330(f247(x71711),x71712),f330(a115,x71713)))) % 199.45/199.85 [7174]~P80(x71741)+~P108(f330(f330(f238(x71741),f330(f81(x71741),x71743)),f330(f81(x71741),x71742)))+P108(f330(f330(f238(x71741),x71742),x71743)) % 199.45/199.85 [7175]~P97(x71751)+~P108(f330(f330(f238(x71751),f330(f81(x71751),x71753)),f330(f81(x71751),x71752)))+P108(f330(f330(f238(x71751),x71752),x71753)) % 199.45/199.85 [7176]~P80(x71761)+~P108(f330(f330(f239(x71761),f330(f81(x71761),x71763)),f330(f81(x71761),x71762)))+P108(f330(f330(f239(x71761),x71762),x71763)) % 199.45/199.85 [7200]P108(f330(x72001,x72002))+~P108(f330(x72001,f435(x72001,x72003)))+~P108(f330(f330(f332(a928),x72002),f306(a928,f2(a928),x72003))) % 199.45/199.85 [7220]~P68(x72201)+P108(f330(f330(f239(x72201),f430(x72203,x72202,x72201)),f80(x72201)))+P108(f330(f330(f238(x72201),x72202),x72203)) % 199.45/199.85 [7239]~E(f46(a928,x72393,x72392),f46(a928,x72391,x72392))+E(f330(f330(f82(a928),x72391),f330(f330(f83(a928),x72392),f595(x72391,x72392,x72393))),x72393)+~P108(f330(f330(f238(a928),x72391),x72393)) % 199.45/199.85 [7295]E(f330(f330(f9(x72951,a928),x72952),x72953),f80(a928))+~P108(f330(f62(x72951),x72953))+P108(f330(f330(f332(x72951),f351(x72952,x72953,x72951)),x72953)) % 199.45/199.85 [7296]E(f330(f330(f6(x72961,a928),x72962),x72963),f2(a928))+~P108(f330(f62(x72961),x72963))+P108(f330(f330(f332(x72961),f452(x72962,x72963,x72961)),x72963)) % 199.45/199.85 [7318]~P110(x73181)+~P108(f330(f330(f238(x73181),x73182),x73183))+P108(f330(f330(f238(f935(x73181,a923)),f330(f285(x73181),x73182)),f330(f285(x73181),x73183))) % 199.45/199.85 [7319]~P112(x73191)+~P108(f330(f330(f238(x73191),x73192),x73193))+P108(f330(f330(f238(f935(x73191,a923)),f330(f304(x73191),x73192)),f330(f304(x73191),x73193))) % 199.45/199.85 [7320]~P112(x73201)+~P108(f330(f330(f238(x73201),x73203),x73202))+P108(f330(f330(f238(f935(x73201,a923)),f330(f286(x73201),x73202)),f330(f286(x73201),x73203))) % 199.45/199.85 [7321]~P110(x73211)+~P108(f330(f330(f238(x73211),x73213),x73212))+P108(f330(f330(f238(f935(x73211,a923)),f330(f307(x73211),x73212)),f330(f307(x73211),x73213))) % 199.45/199.85 [7322]~P110(x73221)+~P108(f330(f330(f239(x73221),x73222),x73223))+P108(f330(f330(f239(f935(x73221,a923)),f330(f285(x73221),x73222)),f330(f285(x73221),x73223))) % 199.45/199.85 [7333]~P5(x73331)+P108(f330(f330(f238(x73331),x73332),f39(x73331,x73333)))+P108(f330(f330(f332(x73331),f519(x73333,x73332,x73331)),x73333)) % 199.45/199.85 [7339]~P80(x73391)+P108(f330(f330(f238(x73391),f330(f330(f23(x73391),x73392),x73393)),f2(x73391)))+~P108(f330(f330(f238(x73391),x73392),x73393)) % 199.45/199.85 [7340]~P80(x73401)+P108(f330(f330(f239(x73401),f330(f330(f23(x73401),x73402),x73403)),f2(x73401)))+~P108(f330(f330(f239(x73401),x73402),x73403)) % 199.45/199.85 [7382]P108(f330(x73821,x73822))+P108(f330(f330(f238(a928),f435(x73821,x73823)),x73823))+~P108(f330(f330(f332(a928),x73822),f306(a928,f2(a928),x73823))) % 199.45/199.85 [7424]~E(f330(f330(f6(x74241,a928),x74242),x74243),f80(a928))+~P108(f330(f62(x74241),x74243))+P108(f330(f330(f332(x74241),f451(x74242,x74243,x74241)),x74243)) % 199.45/199.85 [7425]~P108(f330(x74251,x74253))+P108(f330(f330(f238(a928),f444(x74251,x74252)),x74252))+~P108(f330(f330(f332(a928),x74253),f306(a928,f2(a928),x74252))) % 199.45/199.85 [7465]~P5(x74651)+P108(f330(f330(f332(x74651),f524(x74653,x74652,x74651)),x74652))+P108(f330(f330(f238(x74651),f38(x74651,x74652)),x74653)) % 199.45/199.85 [7499]~E(f330(f330(f6(x74991,a928),x74992),x74993),f330(a115,f2(a928)))+~P108(f330(f62(x74991),x74993))+P108(f330(f330(f332(x74991),f477(x74992,x74993,x74991)),x74993)) % 199.45/199.85 [7510]E(x75101,f2(a928))+P108(f330(x75102,f46(a928,x75103,x75101)))+P108(f330(f330(f239(a928),f346(x75101,x75103,x75102)),x75101)) % 199.45/199.85 [7619]~P108(f330(x76191,x76192))+P108(f330(x76191,f46(a928,x76192,x76193)))+P108(f330(f330(f239(a928),f346(x76193,x76192,x76191)),x76193)) % 199.45/199.85 [7731]E(x77311,f116(x77312))+~P108(f330(f330(f332(f929(x77312)),x77311),f164(x77312,x77313)))+P108(f330(f330(f332(x77312),f699(x77313,x77311,x77312)),x77313)) % 199.45/199.85 [7753]~P110(x77531)+E(f330(f330(f113(f935(x77531,a923)),f330(f330(f312(x77531),x77532),f191(f935(x77531,a923)))),f309(x77531,x77532,x77533)),f330(f305(x77531,x77532),x77533))+~P108(f330(f330(f239(x77531),x77532),x77533)) % 199.45/199.85 [7776]~P110(x77761)+E(f330(f330(f113(f935(x77761,a923)),f330(f330(f312(x77761),x77762),f191(f935(x77761,a923)))),f308(x77761,x77762,x77763)),f306(x77761,x77762,x77763))+~P108(f330(f330(f238(x77761),x77762),x77763)) % 199.45/199.85 [7886]~P110(x78861)+P108(f330(f330(f238(x78861),x78862),x78863))+~P108(f330(f330(f238(f935(x78861,a923)),f330(f307(x78861),x78863)),f330(f307(x78861),x78862))) % 199.45/199.85 [7887]~P112(x78871)+P108(f330(f330(f238(x78871),x78872),x78873))+~P108(f330(f330(f238(f935(x78871,a923)),f330(f286(x78871),x78873)),f330(f286(x78871),x78872))) % 199.45/199.85 [7888]~P110(x78881)+P108(f330(f330(f238(x78881),x78882),x78883))+~P108(f330(f330(f238(f935(x78881,a923)),f330(f285(x78881),x78882)),f330(f285(x78881),x78883))) % 199.45/199.85 [7889]~P112(x78891)+P108(f330(f330(f238(x78891),x78892),x78893))+~P108(f330(f330(f238(f935(x78891,a923)),f330(f304(x78891),x78892)),f330(f304(x78891),x78893))) % 199.45/199.85 [7890]~P110(x78901)+P108(f330(f330(f239(x78901),x78902),x78903))+~P108(f330(f330(f239(f935(x78901,a923)),f330(f285(x78901),x78902)),f330(f285(x78901),x78903))) % 199.45/199.85 [7913]~P80(x79131)+~P108(f330(f330(f238(x79131),f330(f330(f23(x79131),x79132),x79133)),f2(x79131)))+P108(f330(f330(f238(x79131),x79132),x79133)) % 199.45/199.85 [7914]~P80(x79141)+~P108(f330(f330(f239(x79141),f330(f330(f23(x79141),x79142),x79143)),f2(x79141)))+P108(f330(f330(f239(x79141),x79142),x79143)) % 199.45/199.85 [8067]E(x80671,f2(a928))+~E(f330(f145(a928,a928,f82(a928),x80672),x80673),f2(a928))+~P108(f330(f330(f332(a928),x80671),f330(f175(a928),x80673))) % 199.45/199.85 [8071]~P5(x80711)+~P108(f330(f330(f238(x80711),f524(x80713,x80712,x80711)),x80713))+P108(f330(f330(f238(x80711),f38(x80711,x80712)),x80713)) % 199.45/199.85 [8225]P108(f330(f330(f238(a1),f2(a1)),f341(x82251,x82252,x82253)))+P108(f330(f330(x82252,f330(f330(f37(a1),x82251),x82253)),f46(a1,x82251,x82253)))+~P108(f330(f330(f239(a1),f2(a1)),x82253)) % 199.45/199.85 [8313]E(x83131,x83132)+~E(f330(f192(f929(x83133)),x83131),f330(f192(f929(x83133)),x83132))+~P108(f330(f330(f260(x83133,x83133,a923),a327),f674(x83133,x83131,x83132))) % 199.45/199.85 [8384]~P39(x83842,x83843)+E(x83841,f191(f935(x83842,a923)))+~P108(f330(f330(f238(f935(x83842,a923)),x83841),f330(f288(x83842,x83842,x83843),x83841))) % 199.45/199.85 [8413]~P69(x84131)+~P108(f330(f330(f238(x84131),x84132),f330(f330(f82(x84131),x84133),f779(x84133,x84132,x84131))))+P108(f330(f330(f238(x84131),x84132),x84133)) % 199.45/199.85 [8448]P55(x84481,x84482,x84483)+P108(f330(f330(f332(x84481),f571(x84483,x84482,x84481)),x84482))+P108(f330(f330(f332(f934(x84481,x84481)),f572(x84483,x84482,x84481)),x84483)) % 199.45/199.85 [8469]P108(f330(f330(x84692,f330(f330(f37(a1),x84691),x84693)),f46(a1,x84691,x84693)))+~P108(f330(f330(f239(a1),f2(a1)),x84693))+P108(f330(f330(f239(a1),f341(x84691,x84692,x84693)),x84693)) % 199.45/199.85 [8493]E(f330(f313(a928,a928,f330(f330(f7(a928,a928,a928),f23(a928)),x84931)),f330(f305(a928,x84932),x84933)),f191(f935(a928,a923)))+P108(f330(f330(f239(a928),x84931),x84933))+P108(f330(f330(f239(a928),x84932),x84933)) % 199.45/199.85 [8604]E(f330(f313(a928,a928,f330(f330(f7(a928,a928,a928),f23(a928)),x86041)),f330(f305(a928,x86042),x86043)),f330(f330(f312(a928),f2(a928)),f191(f935(a928,a923))))+P108(f330(f330(f239(a928),x86041),x86043))+~P108(f330(f330(f239(a928),x86042),x86043)) % 199.45/199.85 [8618]~P110(x86181)+E(f152(x86181,x86181,f5(x86181),x86182,x86183),x86183)+~P108(f330(f330(f332(x86181),x86182),f330(f175(x86181),x86183))) % 199.45/199.85 [8631]P25(x86311,x86311,x86312,x86313)+~P108(f330(f62(x86311),x86313))+~P108(f330(f330(f238(f935(x86311,a923)),x86313),f330(f313(x86311,x86311,x86312),x86313))) % 199.45/199.85 [8658]E(f330(f330(f82(a1),f330(f330(f83(a1),x86581),f342(x86582,x86583,x86581))),f341(x86582,x86583,x86581)),x86582)+P108(f330(f330(x86583,f330(f330(f37(a1),x86582),x86581)),f46(a1,x86582,x86581)))+~P108(f330(f330(f239(a1),f2(a1)),x86581)) % 199.45/199.85 [8893]~P108(f330(f330(x88931,f342(x88932,x88931,x88933)),f341(x88932,x88931,x88933)))+P108(f330(f330(x88931,f330(f330(f37(a1),x88932),x88933)),f46(a1,x88932,x88933)))+~P108(f330(f330(f239(a1),f2(a1)),x88933)) % 199.45/199.85 [9782]~P108(f330(f62(x97821),x97822))+~P108(f330(f330(f332(x97821),x97823),x97822))+P108(f330(f330(f239(a928),f330(f36(x97821),f330(f330(f23(f935(x97821,a923)),x97822),f330(f330(f312(x97821),x97823),f191(f935(x97821,a923)))))),f330(f36(x97821),x97822))) % 199.45/199.85 [10376]P55(x103761,x103762,x103763)+~P108(f330(f330(f260(x103761,x103761,a923),f330(f330(f7(x103761,f935(x103761,a923),f935(x103761,a923)),f330(f330(f8(f935(a923,a923),f935(f935(x103761,a923),f935(x103761,a923)),x103761),f8(a923,a923,x103761)),f330(f330(f8(a923,f935(a923,a923),x103761),a328),f330(f330(f7(x103761,f935(x103761,a923),a923),f332(x103761)),x103762)))),f330(f330(f7(x103761,f935(x103761,a923),a923),f332(x103761)),x103762))),f572(x103763,x103762,x103761)))+P108(f330(f330(f332(x103761),f571(x103763,x103762,x103761)),x103762)) % 199.45/199.85 [5737]~P125(x57372)+E(x57371,f2(x57372))+E(f330(f330(f294(x57372),x57373),f330(f81(x57372),x57371)),f330(f81(x57372),f330(f330(f294(x57372),x57373),x57371))) % 199.45/199.85 [5876]~E(x58763,f191(f935(x58761,a923)))+~E(x58762,f191(f935(x58761,a923)))+E(f330(f330(f113(f935(x58761,a923)),x58762),x58763),f191(f935(x58761,a923))) % 199.45/199.85 [5934]~E(x59343,f2(a928))+~P108(f330(x59341,f2(a928)))+P108(f330(x59341,f330(f330(f37(a928),x59342),x59343))) % 199.45/199.85 [6077]~P69(x60772)+E(x60771,f2(x60772))+E(f330(f330(f294(x60772),f330(f77(x60772),x60773)),f330(f77(x60772),x60771)),f330(f77(x60772),f330(f330(f294(x60772),x60773),x60771))) % 199.45/199.85 [6196]~P63(x61961)+E(f330(f330(f83(x61961),x61962),f330(f330(f37(x61961),x61963),x61962)),x61963)+~P108(f330(f330(f290(x61961),x61962),x61963)) % 199.45/199.85 [6251]~P108(f330(f62(x62511),x62513))+E(f330(f36(x62511),f330(f330(f312(x62511),x62512),x62513)),f330(a115,f330(f36(x62511),x62513)))+P108(f330(f330(f332(x62511),x62512),x62513)) % 199.45/199.85 [6327]~E(x63272,f2(a928))+P108(f330(x63271,f2(a928)))+~P108(f330(x63271,f330(f330(f37(a928),x63273),x63272))) % 199.45/199.85 [6344]~P108(f330(f62(x63441),x63443))+E(f330(f36(x63441),f330(f330(f312(x63441),x63442),x63443)),f330(f36(x63441),x63443))+~P108(f330(f330(f332(x63441),x63442),x63443)) % 199.45/199.85 [6381]~P108(f330(f62(x63811),x63813))+E(f330(f36(x63811),f330(f330(f312(x63811),x63812),x63813)),f330(f330(f82(a928),f80(a928)),f330(f36(x63811),x63813)))+P108(f330(f330(f332(x63811),x63812),x63813)) % 199.45/199.85 [6497]E(f330(f330(f82(a928),x64971),f881(x64971,x64972,x64973)),x64972)+~P108(f330(x64973,f2(a928)))+P108(f330(x64973,f330(f330(f23(a928),x64972),x64971))) % 199.45/199.85 [6498]E(f330(f330(f82(a928),x64981),f882(x64981,x64982,x64983)),x64982)+~P108(f330(x64983,f2(a928)))+P108(f330(x64983,f330(f330(f23(a928),x64982),x64981))) % 199.45/199.85 [6544]~P5(x65441)+~P108(f330(f62(x65441),x65443))+E(f330(f330(f65(x65441,x65441,f104(x65441)),x65442),x65443),f330(f330(f104(x65441),x65442),f39(x65441,x65443))) % 199.45/199.85 [6545]~P5(x65451)+~P108(f330(f62(x65451),x65453))+E(f330(f330(f65(x65451,x65451,f113(x65451)),x65452),x65453),f330(f330(f113(x65451),x65452),f38(x65451,x65453))) % 199.45/199.85 [6551]~P95(x65511)+~E(f330(f106(x65511),x65512),f330(f106(x65511),x65513))+P29(x65511,f330(f106(x65511),f330(f330(f82(a1),x65512),f330(f81(a1),x65513)))) % 199.45/199.85 [6560]~P145(x65601)+E(f330(f330(f23(x65601),f330(f103(x65601),x65602)),f330(f103(x65601),x65603)),f330(f103(x65601),f330(f330(f23(a928),x65602),x65603)))+~P108(f330(f330(f238(a928),x65603),x65602)) % 199.45/199.85 [6649]E(f330(f330(f82(a928),x66491),f881(x66491,x66492,x66493)),x66492)+P108(f330(f330(f239(a928),x66492),x66491))+P108(f330(x66493,f330(f330(f23(a928),x66492),x66491))) % 199.45/199.85 [6650]E(f330(f330(f82(a928),x66501),f882(x66501,x66502,x66503)),x66502)+P108(f330(f330(f239(a928),x66502),x66501))+P108(f330(x66503,f330(f330(f23(a928),x66502),x66501))) % 199.45/199.85 [6666]~P121(x66661)+E(f330(f330(f83(x66661),f330(f77(x66661),x66662)),x66663),f330(f77(x66661),f330(f330(f83(x66661),x66662),x66663)))+~P108(f330(f330(f238(x66661),f2(x66661)),x66663)) % 199.45/199.85 [6667]~P68(x66671)+E(f330(f330(f294(x66671),f330(f77(x66671),x66672)),x66673),f330(f77(x66671),f330(f330(f294(x66671),x66672),x66673)))+~P108(f330(f330(f239(x66671),f2(x66671)),x66673)) % 199.45/199.85 [6675]~P110(x66751)+~P108(f330(f62(x66751),x66753))+E(f330(f330(f65(x66751,x66751,f236(x66751)),x66752),x66753),f14(x66751,f330(f330(f312(x66751),x66752),x66753))) % 199.45/199.85 [6676]~P110(x66761)+~P108(f330(f62(x66761),x66763))+E(f330(f330(f65(x66761,x66761,f237(x66761)),x66762),x66763),f15(x66761,f330(f330(f312(x66761),x66762),x66763))) % 199.45/199.85 [6677]~P99(x66771)+~P108(f330(f62(x66771),x66773))+E(f330(f330(f65(x66771,x66771,f113(x66771)),x66772),x66773),f13(x66771,f330(f330(f312(x66771),x66772),x66773))) % 199.45/199.85 [6678]~P99(x66781)+~P108(f330(f62(x66781),x66783))+E(f330(f330(f65(x66781,x66781,f104(x66781)),x66782),x66783),f10(x66781,f330(f330(f312(x66781),x66782),x66783))) % 199.45/199.85 [6725]E(x67251,f116(x67252))+~E(f182(x67252,x67253),f116(f929(x67252)))+~P108(f330(f330(f332(f929(x67252)),x67251),f330(f175(f929(x67252)),x67253))) % 199.45/199.85 [6769]~P108(f330(f140(x67691),x67693))+P108(f330(f330(f332(x67691),x67692),f330(f175(x67691),x67693)))+P108(f330(f140(x67691),f330(f330(f154(x67691),x67692),x67693))) % 199.45/199.85 [6780]~P98(x67801)+~P108(f330(f62(x67801),x67803))+E(f330(f64(x67801,f83(x67801)),f330(f330(f312(x67801),x67802),x67803)),f330(f330(f65(x67801,x67801,f83(x67801)),x67802),x67803)) % 199.45/199.85 [6802]~P110(x68021)+~P108(f330(f62(x68021),x68023))+E(f11(x68021,f236(x68021),f330(f330(f312(x68021),x68022),x68023)),f330(f330(f65(x68021,x68021,f236(x68021)),x68022),x68023)) % 199.45/199.85 [6803]~P110(x68031)+~P108(f330(f62(x68031),x68033))+E(f12(x68031,f237(x68031),f330(f330(f312(x68031),x68032),x68033)),f330(f330(f65(x68031,x68031,f237(x68031)),x68032),x68033)) % 199.45/199.85 [6805]P108(f330(x68051,f2(a928)))+~P108(f330(f330(f239(a928),x68052),x68053))+~P108(f330(x68051,f330(f330(f23(a928),x68052),x68053))) % 199.45/199.85 [6826]~P86(x68261)+P108(f330(f330(f238(x68261),x68262),x68263))+~P108(f330(f330(f238(x68261),f330(f77(x68261),x68262)),x68263)) % 199.45/199.85 [6827]~P121(x68271)+P108(f330(f330(f239(x68271),x68272),x68273))+~P108(f330(f330(f239(x68271),f330(f77(x68271),x68272)),x68273)) % 199.45/199.85 [6844]E(x68441,f116(x68442))+E(f330(f144(x68442),f330(f330(f141(x68442),x68443),x68441)),f330(f330(f167(x68442),x68441),x68443))+~P108(f330(f330(f239(a928),x68443),f330(f192(f929(x68442)),x68441))) % 199.45/199.85 [6896]~P108(f330(x68961,x68963))+P108(f330(x68961,f449(x68961,x68962)))+~P108(f330(f330(f332(a928),x68963),f330(f305(a928,f2(a928)),x68962))) % 199.45/199.85 [6916]P108(f330(x69161,x69162))+~P108(f330(f330(f239(a928),x69162),x69163))+P108(f330(f330(f332(a928),f448(x69161,x69163)),f330(f305(a928,f2(a928)),x69163))) % 199.45/199.85 [6931]~P113(x69311)+~P108(f330(f330(f238(x69311),f80(x69311)),x69312))+P108(f330(f330(f238(x69311),f80(x69311)),f330(f330(f247(x69311),x69312),x69313))) % 199.45/199.85 [6933]~P113(x69331)+~P108(f330(f330(f238(x69331),f2(x69331)),x69332))+P108(f330(f330(f238(x69331),f2(x69331)),f330(f330(f247(x69331),x69332),x69333))) % 199.45/199.85 [6935]~P113(x69351)+~P108(f330(f330(f239(x69351),f2(x69351)),x69352))+P108(f330(f330(f239(x69351),f2(x69351)),f330(f330(f247(x69351),x69352),x69353))) % 199.45/199.85 [6959]~P108(f330(x69591,x69593))+~P108(f330(f330(f239(a928),x69593),x69592))+P108(f330(f330(f332(a928),f443(x69591,x69592)),f330(f305(a928,f2(a928)),x69592))) % 199.45/199.85 [6967]P108(f330(f62(x69671),x69672))+~P108(f330(f62(x69671),x69673))+~P108(f330(f330(f238(f935(x69671,a923)),x69672),x69673)) % 199.45/199.85 [6974]P108(f330(x69741,x69742))+~P108(f330(x69741,f450(x69741,x69743)))+~P108(f330(f330(f332(a928),x69742),f330(f305(a928,f2(a928)),x69743))) % 199.45/199.85 [6985]E(x69851,f2(a928))+P108(f330(x69852,f344(x69851,x69853,x69852)))+~P108(f330(x69852,f330(f330(f37(a928),x69853),x69851))) % 199.45/199.85 [6992]~P129(x69922)+E(x69921,f2(x69922))+~E(f330(f330(f82(x69922),f330(f330(f83(x69922),x69923),x69923)),f330(f330(f83(x69922),x69921),x69921)),f2(x69922)) % 199.45/199.85 [6993]~P129(x69932)+E(x69931,f2(x69932))+~E(f330(f330(f82(x69932),f330(f330(f83(x69932),x69931),x69931)),f330(f330(f83(x69932),x69933),x69933)),f2(x69932)) % 199.45/199.85 [7038]E(x70381,f2(a928))+~P108(f330(x70382,f345(x70381,x70383,x70382)))+P108(f330(x70382,f330(f330(f37(a928),x70383),x70381))) % 199.45/199.85 [7043]~P110(x70431)+~P13(x70431,x70433)+P13(x70431,f330(f330(f151(x70431,x70431,f5(x70431)),x70432),x70433)) % 199.45/199.85 [7085]P108(f330(x70851,f344(x70852,x70853,x70851)))+P108(f330(x70851,f2(a928)))+~P108(f330(x70851,f330(f330(f37(a928),x70853),x70852))) % 199.45/199.85 [7091]~P95(x70911)+E(f330(f106(x70911),x70912),f330(f106(x70911),x70913))+~P29(x70911,f330(f106(x70911),f330(f330(f82(a1),x70912),f330(f81(a1),x70913)))) % 199.45/199.85 [7157]E(x71571,f2(a1))+E(x71572,f2(a1))+~P108(f330(f50(x71572,x71572),f330(f330(f255(a1,a1),x71573),x71571))) % 199.45/199.85 [7158]E(x71581,f80(a1))+E(x71582,f2(a1))+~P108(f330(f50(x71582,x71582),f330(f330(f255(a1,a1),x71581),x71583))) % 199.45/199.85 [7173]P108(f330(x71731,x71732))+P108(f330(f330(f239(a928),f450(x71731,x71733)),x71733))+~P108(f330(f330(f332(a928),x71732),f330(f305(a928,f2(a928)),x71733))) % 199.45/199.85 [7196]~P108(f330(x71961,f881(x71963,x71962,x71961)))+~P108(f330(x71961,f2(a928)))+P108(f330(x71961,f330(f330(f23(a928),x71962),x71963))) % 199.45/199.85 [7197]~P108(f330(x71971,f882(x71973,x71972,x71971)))+~P108(f330(x71971,f2(a928)))+P108(f330(x71971,f330(f330(f23(a928),x71972),x71973))) % 199.45/199.85 [7198]~P108(f330(x71981,f345(x71983,x71982,x71981)))+~P108(f330(x71981,f2(a928)))+P108(f330(x71981,f330(f330(f37(a928),x71982),x71983))) % 199.45/199.85 [7216]~P108(f330(x72161,x72163))+P108(f330(f330(f239(a928),f449(x72161,x72162)),x72162))+~P108(f330(f330(f332(a928),x72163),f330(f305(a928,f2(a928)),x72162))) % 199.45/199.85 [7217]E(f330(f330(f23(a928),f330(f330(f23(a928),x72171),x72172)),f330(f330(f23(a928),x72173),x72172)),f330(f330(f23(a928),x72171),x72173))+~P108(f330(f330(f238(a928),x72172),x72171))+~P108(f330(f330(f238(a928),x72172),x72173)) % 199.45/199.85 [7252]~P80(x72521)+~P108(f330(f330(f238(x72521),f330(f81(x72521),x72523)),x72522))+P108(f330(f330(f238(x72521),f330(f81(x72521),x72522)),x72523)) % 199.45/199.85 [7254]~P86(x72541)+~P108(f330(f330(f238(x72541),f330(f77(x72541),x72542)),x72543))+P108(f330(f330(f238(x72541),f330(f81(x72541),x72542)),x72543)) % 199.45/199.85 [7256]~P80(x72561)+~P108(f330(f330(f239(x72561),f330(f81(x72561),x72563)),x72562))+P108(f330(f330(f239(x72561),f330(f81(x72561),x72562)),x72563)) % 199.45/199.85 [7257]~P121(x72571)+~P108(f330(f330(f239(x72571),f330(f77(x72571),x72572)),x72573))+P108(f330(f330(f239(x72571),f330(f81(x72571),x72572)),x72573)) % 199.45/199.85 [7290]~P108(f330(x72903,f881(x72902,x72901,x72903)))+P108(f330(f330(f239(a928),x72901),x72902))+P108(f330(x72903,f330(f330(f23(a928),x72901),x72902))) % 199.45/199.85 [7291]~P108(f330(x72913,f882(x72912,x72911,x72913)))+P108(f330(f330(f239(a928),x72911),x72912))+P108(f330(x72913,f330(f330(f23(a928),x72911),x72912))) % 199.45/199.85 [7343]~E(f536(x73433,x73432,x73431),f533(x73433,x73432,x73431))+E(f330(f330(f104(f935(x73431,a923)),x73432),f38(f935(x73431,a923),x73433)),f191(f935(x73431,a923)))+P108(f330(f330(f332(f935(x73431,a923)),x73432),x73433)) % 199.45/199.85 [7351]~P108(f330(f62(x73511),x73513))+P108(f330(f62(x73511),f39(f935(x73511,a923),x73512)))+~P108(f330(f330(f332(f935(x73511,a923)),x73513),x73512)) % 199.45/199.85 [7411]~P110(x74111)+E(f330(f330(f113(f935(x74111,a923)),f330(f305(x74111,x74112),x74113)),f330(f330(f312(x74111),x74113),f191(f935(x74111,a923)))),f306(x74111,x74112,x74113))+~P108(f330(f330(f238(x74111),x74112),x74113)) % 199.45/199.85 [7414]E(x74141,f2(a928))+P108(f330(f330(f239(a928),f347(x74141,x74143,x74142)),x74141))+P108(f330(x74142,f330(f330(f37(a928),x74143),x74141))) % 199.45/199.85 [7443]P108(f330(f330(f239(a928),f330(f192(f929(x74431)),x74432)),f796(x74433,x74431)))+~P108(f330(f62(f929(x74431)),x74433))+~P108(f330(f330(f332(f929(x74431)),x74432),x74433)) % 199.45/199.85 [7449]E(x74491,x74492)+~P108(f330(f330(f238(f935(x74493,a923)),x74491),x74492))+P108(f330(f330(f239(f935(x74493,a923)),x74491),x74492)) % 199.45/199.85 [7462]E(x74621,x74622)+~E(f330(f192(f929(x74623)),x74621),f330(f192(f929(x74623)),x74622))+P108(f330(f330(f239(a928),f647(x74623,x74621,x74622)),f330(f192(f929(x74623)),x74622))) % 199.45/199.85 [7511]P8(x75111,x75112,x75113)+~E(f330(f267(x75111,x75111),x75113),x75112)+~E(f330(f330(f292(x75111,x75111,x75111),f330(f289(x75111,x75111),x75113)),x75113),x75113) % 199.45/199.85 [7589]~P108(f330(x75891,f2(a928)))+P108(f330(f330(f239(a928),f347(x75893,x75892,x75891)),x75893))+P108(f330(x75891,f330(f330(f37(a928),x75892),x75893))) % 199.45/199.85 [7598]~P110(x75981)+E(f330(f330(f113(f935(x75981,a923)),f309(x75981,x75982,x75983)),f330(f330(f312(x75981),x75983),f191(f935(x75981,a923)))),f308(x75981,x75982,x75983))+~P108(f330(f330(f239(x75981),x75982),x75983)) % 199.45/199.85 [7688]~P108(f330(f62(x76881),x76883))+P108(f330(f330(f238(a928),f330(f36(x76881),x76882)),f330(f36(x76881),x76883)))+~P108(f330(f330(f238(f935(x76881,a923)),x76882),x76883)) % 199.45/199.85 [7689]~P108(f330(f62(x76891),x76893))+P108(f330(f330(f239(a928),f330(f36(x76891),x76892)),f330(f36(x76891),x76893)))+~P108(f330(f330(f239(f935(x76891,a923)),x76892),x76893)) % 199.45/199.85 [7821]E(x78211,x78212)+~P108(f330(f330(f238(f935(x78213,a923)),x78212),x78211))+~P108(f330(f330(f238(f935(x78213,a923)),x78211),x78212)) % 199.45/199.85 [7824]~P110(x78241)+P13(x78241,x78242)+~P13(x78241,f330(f330(f151(x78241,x78241,f5(x78241)),x78243),x78242)) % 199.45/199.85 [7895]~P108(f330(f330(f239(a928),x78953),x78952))+~P108(f330(f330(f239(a928),x78953),x78951))+P108(f330(f330(f239(a928),f330(f330(f23(a928),x78951),x78952)),f330(f330(f23(a928),x78951),x78953))) % 199.45/199.85 [7896]~P108(f330(f330(f238(a928),x78962),x78961))+~P108(f330(f330(f239(a928),x78961),x78963))+P108(f330(f330(f239(a928),f330(f330(f23(a928),x78961),x78962)),f330(f330(f23(a928),x78963),x78962))) % 199.45/199.85 [7911]~P108(f330(f330(f239(a1),x79112),f2(a1)))+~P108(f330(f330(f238(a1),x79113),x79111))+P108(f330(f330(f238(a1),f330(f330(f37(a1),x79111),x79112)),f330(f330(f37(a1),x79113),x79112))) % 199.45/199.85 [7928]~P108(f330(f330(f239(a928),f2(a928)),x79283))+~P108(f330(f330(f238(a928),x79283),x79282))+P108(f330(f330(f238(a928),f330(f330(f37(a928),x79281),x79282)),f330(f330(f37(a928),x79281),x79283))) % 199.45/199.85 [7929]~P108(f330(f330(f239(a1),f2(a1)),x79292))+~P108(f330(f330(f238(a1),x79291),x79293))+P108(f330(f330(f238(a1),f330(f330(f37(a1),x79291),x79292)),f330(f330(f37(a1),x79293),x79292))) % 199.45/199.85 [7933]~P108(f330(f330(f239(a928),f2(a928)),x79332))+~P108(f330(f330(f239(a928),x79331),x79333))+P108(f330(f330(f239(a928),f330(f330(f83(a928),x79331),x79332)),f330(f330(f83(a928),x79333),x79332))) % 199.45/199.85 [7934]~P108(f330(f330(f239(a928),f2(a928)),x79341))+~P108(f330(f330(f239(a928),x79342),x79343))+P108(f330(f330(f239(a928),f330(f330(f83(a928),x79341),x79342)),f330(f330(f83(a928),x79341),x79343))) % 199.45/199.85 [7935]~P108(f330(f330(f239(a1),f2(a1)),x79351))+~P108(f330(f330(f239(a1),x79352),x79353))+P108(f330(f330(f239(a1),f330(f330(f83(a1),x79351),x79352)),f330(f330(f83(a1),x79351),x79353))) % 199.45/199.85 [7982]E(x79821,f2(a928))+E(f330(f330(f82(a928),f330(f330(f83(a928),x79821),f345(x79821,x79822,x79823))),f347(x79821,x79822,x79823)),x79822)+P108(f330(x79823,f330(f330(f37(a928),x79822),x79821))) % 199.45/199.85 [8041]E(f330(f330(f82(a928),f330(f330(f83(a928),x80411),f345(x80411,x80412,x80413))),f347(x80411,x80412,x80413)),x80412)+~P108(f330(x80413,f2(a928)))+P108(f330(x80413,f330(f330(f37(a928),x80412),x80411))) % 199.45/199.85 [8058]~P108(f330(f62(x80581),x80583))+P108(f330(f330(f332(x80581),f364(x80582,x80583,x80581)),x80583))+P108(f330(f330(f239(a928),f2(a928)),f330(f330(f9(x80581,a928),x80582),x80583))) % 199.45/199.85 [8059]~P108(f330(f62(x80591),x80593))+P108(f330(f330(f332(x80591),f550(x80592,x80593,x80591)),x80593))+P108(f330(f330(f239(a928),f2(a928)),f330(f330(f9(x80591,a928),x80592),x80593))) % 199.45/199.85 [8159]E(x81591,f2(a928))+P108(f330(f330(f290(a928),x81592),x81593))+~P108(f330(f330(f290(a928),f330(f330(f83(a928),x81591),x81592)),f330(f330(f83(a928),x81591),x81593))) % 199.45/199.85 [8348]E(x83481,f191(f935(x83482,a923)))+E(x83481,f330(f330(f312(x83482),x83483),f191(f935(x83482,a923))))+~P108(f330(f330(f238(f935(x83482,a923)),x83481),f330(f330(f312(x83482),x83483),f191(f935(x83482,a923))))) % 199.45/199.85 [8385]~P108(f330(f330(f239(a928),f80(a928)),x83853))+P108(f330(f330(f238(a928),x83851),x83852))+~P108(f330(f330(f290(a928),f330(f330(f247(a928),x83853),x83851)),f330(f330(f247(a928),x83853),x83852))) % 199.45/199.85 [8387]~P108(f330(f330(f239(a928),f2(a928)),x83873))+P108(f330(f330(f238(a928),x83871),x83872))+~P108(f330(f330(f238(a928),f330(f330(f83(a928),x83873),x83871)),f330(f330(f83(a928),x83873),x83872))) % 199.45/199.85 [8388]~P108(f330(f330(f239(a928),f2(a928)),x83883))+P108(f330(f330(f238(a928),x83881),x83882))+~P108(f330(f330(f238(a928),f330(f330(f83(a928),x83881),x83883)),f330(f330(f83(a928),x83882),x83883))) % 199.45/199.85 [8390]~P108(f330(f330(f239(a928),f2(a928)),x83903))+P108(f330(f330(f239(a928),x83901),x83902))+~P108(f330(f330(f239(a928),f330(f330(f247(a928),x83903),x83901)),f330(f330(f247(a928),x83903),x83902))) % 199.45/199.85 [8429]~E(f330(f330(f104(f935(x84291,a923)),f533(x84293,x84292,x84291)),f536(x84293,x84292,x84291)),f191(f935(x84291,a923)))+E(f330(f330(f104(f935(x84291,a923)),x84292),f38(f935(x84291,a923),x84293)),f191(f935(x84291,a923)))+P108(f330(f330(f332(f935(x84291,a923)),x84292),x84293)) % 199.45/199.85 [8443]E(x84431,f116(x84432))+~E(f330(f145(f929(x84432),f929(x84432),f137(x84432),f116(x84432)),x84433),f116(x84432))+~P108(f330(f330(f332(f929(x84432)),x84431),f330(f175(f929(x84432)),x84433))) % 199.45/199.85 [8498]E(x84981,f191(f935(f935(x84982,a923),a923)))+P108(f330(f330(f332(f935(x84982,a923)),f540(x84983,x84981,x84982)),x84981))+P108(f330(f330(f238(f935(x84982,a923)),f39(f935(x84982,a923),x84981)),x84983)) % 199.45/199.85 [8504]~P72(x85041)+~P76(x85041)+E(f330(f330(f9(a1,x85041),f330(f330(f8(a928,x85041,a1),x85042),a107)),f330(f313(a928,a1,f103(a1)),x85043)),f330(f330(f9(a928,x85041),x85042),x85043)) % 199.45/199.85 [8505]~P72(x85051)+~P76(x85051)+E(f330(f330(f6(a1,x85051),f330(f330(f8(a928,x85051,a1),x85052),a107)),f330(f313(a928,a1,f103(a1)),x85053)),f330(f330(f6(a928,x85051),x85052),x85053)) % 199.45/199.85 [8548]~P108(f330(f62(x85481),x85483))+~P108(f330(f330(f239(a928),f2(a928)),f330(x85482,f364(x85482,x85483,x85481))))+P108(f330(f330(f239(a928),f2(a928)),f330(f330(f9(x85481,a928),x85482),x85483))) % 199.45/199.85 [8549]~P108(f330(f62(x85491),x85493))+~P108(f330(f330(f239(a928),f2(a928)),f330(x85492,f550(x85492,x85493,x85491))))+P108(f330(f330(f239(a928),f2(a928)),f330(f330(f9(x85491,a928),x85492),x85493))) % 199.45/199.85 [8585]~P67(x85852)+E(x85851,f80(x85852))+E(f330(f330(f294(x85852),f330(f330(f23(x85852),f330(f330(f247(x85852),x85851),x85853)),f80(x85852))),f330(f330(f23(x85852),x85851),f80(x85852))),f330(f330(f6(a928,x85852),f330(f247(x85852),x85851)),f330(f305(a928,f2(a928)),x85853))) % 199.45/199.85 [8642]E(x86421,f2(a928))+~P108(f330(x86423,f330(f330(f37(a928),x86422),x86421)))+P108(f330(f330(f239(a928),x86422),f330(f330(f83(a928),x86421),f330(a115,f344(x86421,x86422,x86423))))) % 199.45/199.85 [8661]P108(f330(x86611,f2(a928)))+~P108(f330(x86611,f330(f330(f37(a928),x86612),x86613)))+P108(f330(f330(f239(a928),x86612),f330(f330(f83(a928),x86613),f330(a115,f344(x86613,x86612,x86611))))) % 199.45/199.85 [8699]E(x86991,f2(a928))+~P108(f330(x86993,f330(f330(f37(a928),x86992),x86991)))+P108(f330(f330(f238(a928),f330(f330(f83(a928),x86991),f344(x86991,x86992,x86993))),x86992)) % 199.45/199.85 [8730]P108(f330(x87301,f2(a928)))+~P108(f330(x87301,f330(f330(f37(a928),x87303),x87302)))+P108(f330(f330(f238(a928),f330(f330(f83(a928),x87302),f344(x87302,x87303,x87301))),x87303)) % 199.45/199.85 [8738]~P110(x87381)+E(f330(f330(f151(x87381,x87381,f5(x87381)),x87382),x87383),f152(x87381,x87381,f5(x87381),x87382,x87383))+P108(f330(f330(f332(x87381),x87382),f330(f175(x87381),x87383))) % 199.45/199.85 [8772]~E(f330(x87723,f584(x87722,x87723,x87721)),f330(x87723,f586(x87722,x87723,x87721)))+~P62(x87721,f330(x87723,f585(x87722,x87723,x87721)))+P62(x87721,f330(f330(f40(x87722,f935(x87721,f935(x87721,a923))),f245(f935(x87722,a923))),x87723)) % 199.45/199.85 [8781]E(x87811,f191(f935(f935(x87812,a923),a923)))+~P108(f330(f330(f238(f935(x87812,a923)),f540(x87813,x87811,x87812)),x87813))+P108(f330(f330(f238(f935(x87812,a923)),f39(f935(x87812,a923),x87811)),x87813)) % 199.45/199.85 [8841]~P69(x88411)+~P108(f330(f330(f239(x88411),x88412),x88413))+P108(f330(f330(f239(x88411),x88412),f330(f330(f294(x88411),f330(f330(f82(x88411),x88412),x88413)),f330(f330(f82(x88411),f80(x88411)),f80(x88411))))) % 199.45/199.85 [8899]~P108(f330(f330(x88991,f373(x88991,x88993,x88992)),f374(x88991,x88993,x88992)))+P108(f330(f330(x88991,x88992),x88993))+~P108(f330(f318(f934(a1,a1),a53),f330(f330(f255(a1,a1),x88992),x88993))) % 199.45/199.85 [8900]~P108(f330(f330(x89001,f375(x89001,x89003,x89002)),f376(x89001,x89003,x89002)))+P108(f330(f330(x89001,x89002),x89003))+~P108(f330(f318(f934(a1,a1),a59),f330(f330(f255(a1,a1),x89002),x89003))) % 199.45/199.85 [8901]~P108(f330(f330(x89011,f378(x89011,x89013,x89012)),f379(x89011,x89013,x89012)))+P108(f330(f330(x89011,x89012),x89013))+~P108(f330(f318(f934(a1,a1),a225),f330(f330(f255(a1,a1),x89012),x89013))) % 199.45/199.85 [8902]~P108(f330(f330(x89021,f380(x89021,x89023,x89022)),f381(x89021,x89023,x89022)))+P108(f330(f330(x89021,x89022),x89023))+~P108(f330(f318(f934(a928,a928),a223),f330(f330(f255(a928,a928),x89022),x89023))) % 199.45/199.85 [8903]~P108(f330(f330(x89031,f686(x89031,x89033,x89032)),f688(x89031,x89033,x89032)))+P108(f330(f330(x89031,x89032),x89033))+~P108(f330(f318(f934(a1,a1),a185),f330(f330(f255(a1,a1),x89032),x89033))) % 199.45/199.85 [8904]~P108(f330(f330(x89041,f783(x89041,x89043,x89042)),f786(x89041,x89043,x89042)))+P108(f330(f330(x89041,x89042),x89043))+~P108(f330(f318(f934(a1,a1),a136),f330(f330(f255(a1,a1),x89042),x89043))) % 199.45/199.85 [9180]P108(f330(f330(x91801,x91802),x91803))+P108(f330(f318(f934(a928,a928),a223),f330(f330(f255(a928,a928),f380(x91801,x91803,x91802)),f381(x91801,x91803,x91802))))+~P108(f330(f318(f934(a928,a928),a223),f330(f330(f255(a928,a928),x91802),x91803))) % 199.45/199.85 [9181]P108(f330(f330(x91811,x91812),x91813))+P108(f330(f318(f934(a1,a1),a53),f330(f330(f255(a1,a1),f373(x91811,x91813,x91812)),f374(x91811,x91813,x91812))))+~P108(f330(f318(f934(a1,a1),a53),f330(f330(f255(a1,a1),x91812),x91813))) % 199.45/199.85 [9182]P108(f330(f330(x91821,x91822),x91823))+P108(f330(f318(f934(a1,a1),a59),f330(f330(f255(a1,a1),f375(x91821,x91823,x91822)),f376(x91821,x91823,x91822))))+~P108(f330(f318(f934(a1,a1),a59),f330(f330(f255(a1,a1),x91822),x91823))) % 199.45/199.85 [9183]P108(f330(f330(x91831,x91832),x91833))+P108(f330(f318(f934(a1,a1),a225),f330(f330(f255(a1,a1),f378(x91831,x91833,x91832)),f379(x91831,x91833,x91832))))+~P108(f330(f318(f934(a1,a1),a225),f330(f330(f255(a1,a1),x91832),x91833))) % 199.45/199.85 [9184]P108(f330(f330(x91841,x91842),x91843))+P108(f330(f318(f934(a1,a1),a185),f330(f330(f255(a1,a1),f686(x91841,x91843,x91842)),f688(x91841,x91843,x91842))))+~P108(f330(f318(f934(a1,a1),a185),f330(f330(f255(a1,a1),x91842),x91843))) % 199.45/199.85 [9185]P108(f330(f330(x91851,x91852),x91853))+P108(f330(f318(f934(a1,a1),a136),f330(f330(f255(a1,a1),f783(x91851,x91853,x91852)),f786(x91851,x91853,x91852))))+~P108(f330(f318(f934(a1,a1),a136),f330(f330(f255(a1,a1),x91852),x91853))) % 199.45/199.85 [9520]~P108(f330(f62(x95201),x95203))+P108(f330(f330(f332(f934(f935(x95201,a923),f935(x95201,a923))),f330(f330(f255(f935(x95201,a923),f935(x95201,a923)),x95202),x95203)),f317(x95201)))+~P108(f330(f330(f239(f935(x95201,a923)),x95202),x95203)) % 199.45/199.85 [9593]~P62(x95931,f330(x95933,f585(x95932,x95933,x95931)))+P62(x95931,f330(f330(f40(x95932,f935(x95931,f935(x95931,a923))),f245(f935(x95932,a923))),x95933))+~E(f330(f330(f104(f935(x95931,a923)),f252(x95931,x95931,f330(x95933,f584(x95932,x95933,x95931)))),f253(x95931,x95931,f330(x95933,f586(x95932,x95933,x95931)))),f191(f935(x95931,a923))) % 199.45/199.85 [9795]P55(x97951,x97952,x97953)+P108(f330(f330(f332(f934(x97951,x97951)),f572(x97953,x97952,x97951)),x97953))+~P108(f330(f330(f332(f934(x97951,x97951)),f330(f330(f255(x97951,x97951),f571(x97953,x97952,x97951)),f571(x97953,x97952,x97951))),x97953)) % 199.45/199.85 [10379]P55(x103791,x103792,x103793)+~P108(f330(f330(f260(x103791,x103791,a923),f330(f330(f7(x103791,f935(x103791,a923),f935(x103791,a923)),f330(f330(f8(f935(a923,a923),f935(f935(x103791,a923),f935(x103791,a923)),x103791),f8(a923,a923,x103791)),f330(f330(f8(a923,f935(a923,a923),x103791),a328),f330(f330(f7(x103791,f935(x103791,a923),a923),f332(x103791)),x103792)))),f330(f330(f7(x103791,f935(x103791,a923),a923),f332(x103791)),x103792))),f572(x103793,x103792,x103791)))+~P108(f330(f330(f332(f934(x103791,x103791)),f330(f330(f255(x103791,x103791),f571(x103793,x103792,x103791)),f571(x103793,x103792,x103791))),x103793)) % 199.45/199.85 [5916]~P63(x59162)+E(x59161,f2(x59162))+E(f330(f330(f37(x59162),f330(f330(f83(x59162),x59163),x59161)),x59161),x59163) % 199.45/199.85 [5917]~P63(x59172)+E(x59171,f2(x59172))+E(f330(f330(f37(x59172),f330(f330(f83(x59172),x59171),x59173)),x59171),x59173) % 199.45/199.85 [6561]~P63(x65611)+E(f330(f330(f83(x65611),f330(f330(f37(x65611),x65612),x65613)),x65613),x65612)+~P108(f330(f330(f290(x65611),x65613),x65612)) % 199.45/199.85 [6724]~P76(x67241)+~E(f330(x67242,f2(a928)),f2(x67241))+E(f330(f330(f6(a928,x67241),x67242),f330(f305(a928,f330(a115,f2(a928))),x67243)),f330(f330(f6(a928,x67241),x67242),f330(f305(a928,f2(a928)),x67243))) % 199.45/199.85 [6856]~P63(x68562)+E(x68561,f2(x68562))+E(f330(f330(f37(x68562),f330(f330(f82(x68562),x68563),x68561)),x68561),f330(f330(f82(x68562),f330(f330(f37(x68562),x68563),x68561)),f80(x68562))) % 199.45/199.85 [6857]~P63(x68572)+E(x68571,f2(x68572))+E(f330(f330(f37(x68572),f330(f330(f82(x68572),x68571),x68573)),x68571),f330(f330(f82(x68572),f330(f330(f37(x68572),x68573),x68571)),f80(x68572))) % 199.45/199.85 [7074]~P108(f330(x70743,f2(a1)))+P108(f330(f330(f238(a928),x70741),x70742))+P108(f330(x70743,f330(f103(a1),f330(f330(f23(a928),x70742),x70741)))) % 199.45/199.85 [7179]P108(f330(f330(f239(a928),x71792),x71791))+P108(f330(f330(f238(a928),x71791),x71792))+P108(f330(x71793,f330(f103(a1),f330(f330(f23(a928),x71792),x71791)))) % 199.45/199.85 [7250]E(f330(f330(f82(a928),f330(f106(a928),x72501)),f330(f330(f82(a928),f330(f106(a928),x72502)),x72503)),f330(f330(f82(a928),f330(f106(a928),x72501)),x72503))+P108(f330(a196,f330(f106(a1),x72501)))+~P108(f330(a196,f330(f106(a1),x72502))) % 199.45/199.85 [7330]~E(x73302,f330(f330(f37(a928),x73303),x73301))+~P108(f330(f330(f239(a928),f2(a928)),x73301))+P108(f330(f330(f238(a928),f330(f330(f83(a928),x73301),x73302)),x73303)) % 199.45/199.85 [7447]~P108(f330(f62(x74471),x74473))+~P108(f330(f62(x74471),x74472))+P108(f330(f62(x74471),f330(f330(f113(f935(x74471,a923)),x74472),x74473))) % 199.45/199.85 [7496]~P40(x74961,x74963)+~P40(x74961,x74962)+P40(x74961,f330(f330(f104(f935(f934(x74961,x74961),a923)),x74962),x74963)) % 199.45/199.85 [7497]~P54(x74971,x74973)+~P54(x74971,x74972)+P54(x74971,f330(f330(f104(f935(f934(x74971,x74971),a923)),x74972),x74973)) % 199.45/199.85 [7498]~P54(x74981,x74983)+~P54(x74981,x74982)+P54(x74981,f330(f330(f113(f935(f934(x74981,x74981),a923)),x74982),x74983)) % 199.45/199.85 [7737]~P110(x77371)+~P108(f330(f62(x77371),x77372))+E(f142(x77371,f330(f330(f23(f935(x77371,a923)),x77372),f330(f330(f312(x77371),x77373),f191(f935(x77371,a923))))),f173(x77371,x77373,f142(x77371,x77372))) % 199.45/199.85 [7800]P108(f330(x78001,f2(a1)))+~P108(f330(f330(f239(a928),x78002),x78003))+~P108(f330(x78001,f330(f103(a1),f330(f330(f23(a928),x78002),x78003)))) % 199.45/199.85 [7818]~P108(f330(f62(x78181),x78182))+E(f330(f36(x78181),f330(f330(f23(f935(x78181,a923)),x78182),f330(f330(f312(x78181),x78183),f191(f935(x78181,a923))))),f330(f36(x78181),x78182))+P108(f330(f330(f332(x78181),x78183),x78182)) % 199.45/199.85 [7950]~P113(x79501)+~P108(f330(f330(f239(x79501),f80(x79501)),x79502))+P108(f330(f330(f239(x79501),f80(x79501)),f330(f330(f83(x79501),x79502),f330(f330(f247(x79501),x79502),x79503)))) % 199.45/199.85 [7992]~P108(f330(f62(x79921),x79923))+E(f330(f330(f23(a928),f330(f36(x79921),x79922)),f330(f36(x79921),x79923)),f330(f36(x79921),f330(f330(f23(f935(x79921,a923)),x79922),x79923)))+~P108(f330(f330(f238(f935(x79921,a923)),x79923),x79922)) % 199.45/199.85 [8049]~P108(f330(f330(f238(a928),x80492),x80493))+~P108(f330(f330(f238(a928),x80491),f330(f330(f23(a928),x80493),x80492)))+P108(f330(f330(f238(a928),f330(f330(f82(a928),x80491),x80492)),x80493)) % 199.45/199.85 [8102]P108(f330(f62(x81021),x81022))+~P108(f330(f62(x81021),x81023))+~P108(f330(f62(x81021),f330(f330(f23(f935(x81021,a923)),x81022),x81023))) % 199.45/199.85 [8108]~P108(f330(f62(x81081),x81082))+E(f330(f36(x81081),f330(f330(f23(f935(x81081,a923)),x81082),f330(f330(f312(x81081),x81083),f191(f935(x81081,a923))))),f330(f330(f23(a928),f330(f36(x81081),x81082)),f80(a928)))+~P108(f330(f330(f332(x81081),x81083),x81082)) % 199.45/199.85 [8184]P62(x81841,x81842)+~P62(x81841,x81843)+~P108(f330(f330(f238(f935(x81841,f935(x81841,a923))),x81842),x81843)) % 199.45/199.85 [8224]~P108(f330(f330(f238(a928),x82243),x82242))+P108(f330(f330(f238(a928),x82241),f330(f330(f23(a928),x82242),x82243)))+~P108(f330(f330(f238(a928),f330(f330(f82(a928),x82241),x82243)),x82242)) % 199.45/199.85 [8242]P39(x82421,x82422)+~P39(x82421,x82423)+~P108(f330(f330(f238(f935(f934(x82421,x82421),a923)),x82422),x82423)) % 199.45/199.85 [8243]P60(x82431,x82432)+~P60(x82431,x82433)+~P108(f330(f330(f238(f935(f934(x82431,x82431),a923)),x82432),x82433)) % 199.45/199.85 [8244]P41(x82441,x82442)+~P41(x82441,x82443)+~P108(f330(f330(f238(f935(f934(x82441,x82441),a923)),x82442),x82443)) % 199.45/199.85 [8476]~P113(x84761)+~P108(f330(f330(f239(x84761),f80(x84761)),x84762))+P108(f330(f330(f239(x84761),f330(f330(f247(x84761),x84762),x84763)),f330(f330(f83(x84761),x84762),f330(f330(f247(x84761),x84762),x84763)))) % 199.45/199.85 [8567]~P108(f330(x85671,f2(a1)))+~P108(f330(x85671,f330(f330(f23(a1),f330(f103(a1),x85672)),f330(f103(a1),x85673))))+P108(f330(x85671,f330(f103(a1),f330(f330(f23(a928),x85672),x85673)))) % 199.45/199.85 [8582]~P108(f330(f330(f238(a928),x85823),x85822))+P108(f330(x85821,f330(f330(f23(a1),f330(f103(a1),x85822)),f330(f103(a1),x85823))))+~P108(f330(x85821,f330(f103(a1),f330(f330(f23(a928),x85822),x85823)))) % 199.45/199.85 [8601]P108(f330(f330(f239(a928),x86011),x86012))+~P108(f330(x86013,f330(f330(f23(a1),f330(f103(a1),x86011)),f330(f103(a1),x86012))))+P108(f330(x86013,f330(f103(a1),f330(f330(f23(a928),x86011),x86012)))) % 199.45/199.85 [8655]~P129(x86552)+E(x86551,f2(x86552))+P108(f330(f330(f239(x86552),f2(x86552)),f330(f330(f82(x86552),f330(f330(f83(x86552),x86553),x86553)),f330(f330(f83(x86552),x86551),x86551)))) % 199.45/199.85 [8656]~P129(x86562)+E(x86561,f2(x86562))+P108(f330(f330(f239(x86562),f2(x86562)),f330(f330(f82(x86562),f330(f330(f83(x86562),x86561),x86561)),f330(f330(f83(x86562),x86563),x86563)))) % 199.45/199.85 [8755]~P108(f330(f330(f239(a928),f2(a928)),x87551))+~P108(f330(f330(f239(a1),x87552),x87553))+P108(f330(f330(f239(a1),f330(f330(f83(a1),f330(f103(a1),x87551)),x87552)),f330(f330(f83(a1),f330(f103(a1),x87551)),x87553))) % 199.45/199.85 [8810]E(f330(f330(f104(f935(x88101,a923)),x88102),f38(f935(x88101,a923),x88103)),f191(f935(x88101,a923)))+P108(f330(f330(f332(f935(x88101,a923)),x88102),x88103))+P108(f330(f330(f332(f935(x88101,a923)),f533(x88103,x88102,x88101)),f330(f330(f312(f935(x88101,a923)),x88102),x88103))) % 199.45/199.85 [8811]E(f330(f330(f104(f935(x88111,a923)),x88112),f38(f935(x88111,a923),x88113)),f191(f935(x88111,a923)))+P108(f330(f330(f332(f935(x88111,a923)),x88112),x88113))+P108(f330(f330(f332(f935(x88111,a923)),f536(x88113,x88112,x88111)),f330(f330(f312(f935(x88111,a923)),x88112),x88113))) % 199.45/199.85 [8840]E(x88401,x88402)+~E(f330(f192(f929(x88403)),x88401),f330(f192(f929(x88403)),x88402))+P108(f330(f330(f332(f934(x88403,x88403)),f674(x88403,x88401,x88402)),f330(f175(f934(x88403,x88403)),f330(f330(f184(x88403,x88403),x88402),x88401)))) % 199.45/199.85 [9090]E(f310(x90901,x90902),f310(x90901,x90903))+~P108(f330(f330(f238(f935(f934(x90901,x90901),a923)),x90903),f310(x90901,x90902)))+~P108(f330(f330(f238(f935(f934(x90901,x90901),a923)),x90902),x90903)) % 199.45/199.85 [9158]~P55(x91581,f245(f935(x91581,a923)),x91583)+P108(f330(f330(f238(f935(f934(f929(x91581),f929(x91581)),a923)),f160(x91581,x91582)),f161(x91581,x91583)))+~P108(f330(f330(f238(f935(f934(x91581,x91581),a923)),x91582),x91583)) % 199.45/199.85 [9358]P39(x93581,x93582)+~P108(f330(f330(f332(x93581),x93583),f622(x93582,x93581)))+P108(f330(f330(f332(f934(x93581,x93581)),f330(f330(f255(x93581,x93581),f649(x93582,x93581,x93583)),x93583)),x93582)) % 199.45/199.85 [9393]~P108(f330(f62(x93931),x93932))+P108(f330(f62(f935(x93931,a923)),f330(f330(f61(x93931),x93932),x93933)))+~P108(f330(f330(f238(f935(f934(x93931,x93931),a923)),x93933),f330(f330(f257(x93931,x93931),x93932),f330(f16(f935(x93931,a923),x93931),x93932)))) % 199.45/199.85 [9429]P55(x94291,x94292,x94293)+P108(f330(f330(f332(x94291),f558(x94293,x94292,x94291)),x94292))+~P108(f330(f330(f238(f935(f934(x94291,x94291),a923)),x94293),f330(f330(f257(x94291,x94291),x94292),f330(f16(f935(x94291,a923),x94291),x94292)))) % 199.45/199.85 [9430]P55(x94301,x94302,x94303)+P108(f330(f330(f332(x94301),f567(x94302,x94303,x94301)),x94302))+~P108(f330(f330(f238(f935(f934(x94301,x94301),a923)),x94303),f330(f330(f257(x94301,x94301),x94302),f330(f16(f935(x94301,a923),x94301),x94302)))) % 199.45/199.85 [9464]~P69(x94641)+~P108(f330(f330(f239(x94641),x94642),x94643))+P108(f330(f330(f239(x94641),f330(f330(f294(x94641),f330(f330(f82(x94641),x94642),x94643)),f330(f330(f82(x94641),f80(x94641)),f80(x94641)))),x94643)) % 199.45/199.85 [9493]~P68(x94931)+P108(f330(f330(f238(x94931),x94932),x94933))+~P108(f330(f330(f238(x94931),f330(f330(f83(x94931),f430(x94933,x94932,x94931)),x94932)),x94933)) % 199.45/199.85 [9628]E(f330(f192(f929(f929(x96281))),f330(f139(f929(x96281),f330(f330(f8(a928,a923,f929(x96281)),f330(f239(a928),x96282)),f192(f929(x96281)))),f182(x96281,x96283))),f330(f192(f929(x96281)),f330(f330(f167(f929(x96281)),x96283),x96282)))+~P13(a928,f330(f171(a928),f330(f330(f157(f929(x96281),a928),f192(f929(x96281))),x96283)))+~P108(f330(f330(f239(a928),x96282),f330(f192(f929(f929(x96281))),x96283))) % 199.45/199.85 [9742]~P39(x97421,x97422)+P27(x97421,f330(f330(f255(f935(f934(x97421,x97421),a923),f935(f934(x97421,x97421),a923)),x97422),x97423))+~P108(f330(f330(f238(f935(f934(x97421,x97421),a923)),f330(f330(f292(x97421,x97421,x97421),x97422),x97423)),x97422)) % 199.45/199.85 [9748]E(f330(f330(f157(f929(x97481),x97481),f330(f330(f7(f929(x97481),a928,x97481),f167(x97481)),x97482)),f330(f139(f929(x97481),f330(f330(f8(a928,a923,f929(x97481)),f330(f239(a928),x97482)),f192(f929(x97481)))),f182(x97481,x97483))),f330(f330(f167(f929(x97481)),x97483),x97482))+~P13(a928,f330(f171(a928),f330(f330(f157(f929(x97481),a928),f192(f929(x97481))),x97483)))+~P108(f330(f330(f239(a928),x97482),f330(f192(f929(f929(x97481))),x97483))) % 199.45/199.85 [9883]P55(x98831,x98832,x98833)+~P108(f330(f330(f332(f934(x98831,x98831)),f330(f330(f255(x98831,x98831),f558(x98833,x98832,x98831)),f558(x98833,x98832,x98831))),x98833))+~P108(f330(f330(f238(f935(f934(x98831,x98831),a923)),x98833),f330(f330(f257(x98831,x98831),x98832),f330(f16(f935(x98831,a923),x98831),x98832)))) % 199.45/199.85 [9884]P55(x98841,x98842,x98843)+~P108(f330(f330(f332(f934(x98841,x98841)),f330(f330(f255(x98841,x98841),f567(x98842,x98843,x98841)),f567(x98842,x98843,x98841))),x98843))+~P108(f330(f330(f238(f935(f934(x98841,x98841),a923)),x98843),f330(f330(f257(x98841,x98841),x98842),f330(f16(f935(x98841,a923),x98841),x98842)))) % 199.45/199.85 [10053]~P145(x100531)+~P127(x100531)+E(f330(f330(f294(x100531),f330(f105(x100531),f330(f330(f74(f934(a1,a1),a1,x100532,f254(a1,a1)),f216(x100532)),x100533))),f330(f105(x100531),f330(f330(f74(f934(a1,a1),a1,x100532,f259(a1,a1)),f216(x100532)),x100533))),f226(x100532,x100531,x100533)) % 199.45/199.85 [10250]~E(x102503,f2(a928))+~E(f330(f192(f929(x102501)),f330(f330(f167(f929(x102501)),x102502),f722(x102503,x102501,x102502))),x102503)+E(f330(f330(f157(a928,f929(x102501)),f330(f330(f7(a928,f929(a928),f929(x102501)),f330(f330(f8(f935(a928,x102501),f935(f929(a928),f929(x102501)),a928),f157(a928,x102501)),f330(f7(a928,a928,x102501),f330(f330(f8(f929(x102501),f935(a928,x102501),a928),f167(x102501)),f330(f167(f929(x102501)),x102502))))),f142(a928,f330(f305(a928,f2(a928)),f330(f192(f929(f929(x102501))),x102502))))),f142(a928,f330(f305(a928,f2(a928)),x102503))),f182(x102501,x102502)) % 199.45/199.85 [10251]E(x102511,f116(f929(x102512)))+~E(f330(f192(f929(x102512)),f330(f330(f167(f929(x102512)),x102511),f722(x102513,x102512,x102511))),x102513)+E(f330(f330(f157(a928,f929(x102512)),f330(f330(f7(a928,f929(a928),f929(x102512)),f330(f330(f8(f935(a928,x102512),f935(f929(a928),f929(x102512)),a928),f157(a928,x102512)),f330(f7(a928,a928,x102512),f330(f330(f8(f929(x102512),f935(a928,x102512),a928),f167(x102512)),f330(f167(f929(x102512)),x102511))))),f142(a928,f330(f305(a928,f2(a928)),f330(f192(f929(f929(x102512))),x102511))))),f142(a928,f330(f305(a928,f2(a928)),x102513))),f182(x102512,x102511)) % 199.45/199.85 [10252]~E(x102523,f2(a928))+E(f330(f330(f157(a928,f929(x102521)),f330(f330(f7(a928,f929(a928),f929(x102521)),f330(f330(f8(f935(a928,x102521),f935(f929(a928),f929(x102521)),a928),f157(a928,x102521)),f330(f7(a928,a928,x102521),f330(f330(f8(f929(x102521),f935(a928,x102521),a928),f167(x102521)),f330(f167(f929(x102521)),x102522))))),f142(a928,f330(f305(a928,f2(a928)),f330(f192(f929(f929(x102521))),x102522))))),f142(a928,f330(f305(a928,f2(a928)),x102523))),f182(x102521,x102522))+P108(f330(f330(f239(a928),f722(x102523,x102521,x102522)),f330(f192(f929(f929(x102521))),x102522))) % 199.45/199.85 [10253]E(x102531,f116(f929(x102532)))+E(f330(f330(f157(a928,f929(x102532)),f330(f330(f7(a928,f929(a928),f929(x102532)),f330(f330(f8(f935(a928,x102532),f935(f929(a928),f929(x102532)),a928),f157(a928,x102532)),f330(f7(a928,a928,x102532),f330(f330(f8(f929(x102532),f935(a928,x102532),a928),f167(x102532)),f330(f167(f929(x102532)),x102531))))),f142(a928,f330(f305(a928,f2(a928)),f330(f192(f929(f929(x102532))),x102531))))),f142(a928,f330(f305(a928,f2(a928)),x102533))),f182(x102532,x102531))+P108(f330(f330(f239(a928),f722(x102533,x102532,x102531)),f330(f192(f929(f929(x102532))),x102531))) % 199.45/199.85 [7989]E(f330(f330(f82(a928),f330(f106(a928),x79891)),f330(f330(f82(a928),f330(f106(a928),x79892)),x79893)),f330(f330(f82(a928),f330(f106(a928),f330(f330(f82(a1),x79891),x79892))),x79893))+P108(f330(a196,f330(f106(a1),x79891)))+P108(f330(a196,f330(f106(a1),x79892))) % 199.45/199.85 [8747]~P108(f330(f62(x87471),x87472))+~P108(f330(f330(f332(x87471),x87473),x87472))+E(f330(a115,f330(f36(x87471),f330(f330(f23(f935(x87471,a923)),x87472),f330(f330(f312(x87471),x87473),f191(f935(x87471,a923)))))),f330(f36(x87471),x87472)) % 199.45/199.85 [8762]~P108(f330(f62(x87621),x87622))+~P108(f330(f330(f332(x87621),x87623),x87622))+E(f330(f330(f82(a928),f80(a928)),f330(f36(x87621),f330(f330(f23(f935(x87621,a923)),x87622),f330(f330(f312(x87621),x87623),f191(f935(x87621,a923)))))),f330(f36(x87621),x87622)) % 199.45/199.85 [8849]~P110(x88491)+~P108(f330(f62(x88491),x88493))+E(f330(f330(f151(x88491,x88491,f5(x88491)),x88492),f142(x88491,f330(f330(f23(f935(x88491,a923)),x88493),f330(f330(f312(x88491),x88492),f191(f935(x88491,a923)))))),f142(x88491,f330(f330(f312(x88491),x88492),x88493))) % 199.45/199.85 [9015]~P108(f330(f62(x90151),x90153))+~P108(f330(f62(x90151),x90152))+E(f330(f330(f82(a928),f330(f36(x90151),f330(f330(f113(f935(x90151,a923)),x90152),x90153))),f330(f36(x90151),f330(f330(f104(f935(x90151,a923)),x90152),x90153))),f330(f330(f82(a928),f330(f36(x90151),x90152)),f330(f36(x90151),x90153))) % 199.45/199.85 [10199]~P25(x101991,f935(f935(x101991,a923),a923),f330(f330(f7(x101991,f935(f934(x101991,x101991),a923),f935(f935(x101991,a923),a923)),f330(f330(f8(f935(x101991,a923),f935(f935(f934(x101991,x101991),a923),f935(f935(x101991,a923),a923)),x101991),f61(x101991)),f330(f330(f7(x101991,f935(x101991,a923),f935(x101991,a923)),f312(x101991)),f191(f935(x101991,a923))))),x101993),x101992)+~P108(f330(f62(x101991),x101992))+E(f330(f36(f935(x101991,a923)),f330(f330(f61(x101991),x101992),x101993)),f330(f36(x101991),x101992)) % 199.45/199.85 [8256]~P95(x82561)+P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),x82563)))+E(f330(f330(f247(x82561),x82562),f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),x82563),x82563)),a100))),f80(x82561)) % 199.45/199.85 [9727]~P95(x97271)+~P108(f330(f330(f238(a1),f2(a1)),f330(f106(a1),x97273)))+E(f330(f330(f247(x97271),x97272),f330(f106(a928),f330(f330(f23(a1),f330(f330(f82(a1),x97273),x97273)),a100))),f330(f330(f88(x97271,x97271),f330(f330(f247(x97271),x97272),f330(f106(a928),x97273))),f330(f330(f18(x97271,x97271,x97271),f330(f330(f8(x97271,f935(x97271,x97271),x97271),f83(x97271)),f330(f83(x97271),x97272))),f5(x97271)))) % 199.45/199.85 [10116]~P108(f330(f140(x101161),x101163))+~P108(f330(f330(f332(x101161),x101162),f330(f175(x101161),x101163)))+E(f330(f330(f141(x101161),f330(f192(f929(x101161)),f180(x101161,f330(f330(f8(a923,a923,x101161),a325),f330(f330(f7(x101161,x101161,a923),a327),x101162)),f330(f171(x101161),x101163)))),f330(f171(x101161),x101163)),f330(f330(f154(x101161),x101162),f330(f171(x101161),f180(x101161,f330(f330(f8(a923,a923,x101161),a325),f330(f330(f7(x101161,x101161,a923),a327),x101162)),x101163)))) % 199.45/199.85 [10177]P108(f330(f330(f238(f935(f934(x101771,x101771),a923)),f310(x101771,x101772)),x101773))+~P108(f330(f330(f238(f935(f934(x101771,x101771),a923)),f310(x101771,f191(f935(f934(x101771,x101771),a923)))),x101773))+~P108(f330(f330(f238(f935(f934(x101771,x101771),a923)),f330(f330(f292(x101771,x101771,x101771),f330(f330(f104(f935(f934(x101771,x101771),a923)),f310(x101771,x101772)),x101773)),x101772)),x101773)) % 199.45/199.85 [10033]~P108(f330(f62(x100331),f330(f265(x100331),x100333)))+~P108(f330(f62(x100331),f330(f265(x100331),x100332)))+P108(f330(f62(x100331),f330(f265(x100331),f330(f330(f18(x100331,a923,a923),f330(f330(f8(a923,f935(a923,a923),x100331),a329),x100332)),x100333)))) % 199.45/199.85 [10313]P108(f330(f330(f238(f935(f934(x103131,x103131),a923)),f330(f330(f292(x103131,x103131,x103131),x103132),f310(x103131,x103132))),x103133))+~P108(f330(f330(f238(f935(f934(x103131,x103131),a923)),x103132),x103133))+~P108(f330(f330(f238(f935(f934(x103131,x103131),a923)),f330(f330(f292(x103131,x103131,x103131),f330(f330(f104(f935(f934(x103131,x103131),a923)),f330(f330(f292(x103131,x103131,x103131),x103132),f310(x103131,x103132))),x103133)),x103132)),x103133)) % 199.45/199.85 [10266]~P121(x102662)+E(x102661,f2(x102662))+~E(f330(f330(f82(x102662),f330(f330(f247(x102662),x102663),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f247(x102662),x102661),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f2(x102662)) % 199.45/199.85 [10267]~P121(x102672)+E(x102671,f2(x102672))+~E(f330(f330(f82(x102672),f330(f330(f247(x102672),x102671),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f247(x102672),x102673),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f2(x102672)) % 199.45/199.85 [10272]~P108(f330(f140(x102721),x102723))+~P108(f330(f330(f332(x102721),x102722),f330(f175(x102721),x102723)))+E(f330(f171(x102721),f330(f174(x102721),f330(f330(f141(x102721),f330(f192(f929(x102721)),f180(x102721,f330(f330(f8(a923,a923,x102721),a325),f330(f330(f7(x102721,x102721,a923),a327),x102722)),x102723))),x102723))),f180(x102721,f330(f330(f8(a923,a923,x102721),a325),f330(f330(f7(x102721,x102721,a923),a327),x102722)),f330(f171(x102721),x102723))) % 199.45/199.85 [10361]~P121(x103612)+E(x103611,f2(x103612))+P108(f330(f330(f239(x103612),f2(x103612)),f330(f330(f82(x103612),f330(f330(f247(x103612),x103613),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f247(x103612),x103611),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))))) % 199.45/199.85 [10362]~P121(x103622)+E(x103621,f2(x103622))+P108(f330(f330(f239(x103622),f2(x103622)),f330(f330(f82(x103622),f330(f330(f247(x103622),x103621),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f247(x103622),x103623),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))))) % 199.45/199.85 [10417]~P121(x104171)+P108(f330(f330(f238(x104171),f2(x104171)),x104172))+~P108(f330(f330(f238(x104171),f2(x104171)),f330(f330(f247(x104171),x104172),f330(a115,f330(f330(f83(a928),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x104173))))) % 199.45/199.85 [5750]~P24(x57501,x57504,x57503)+P24(x57501,x57502,x57503)+~P24(x57501,x57502,x57504) % 199.45/199.85 [5217]~E(x52172,f92(x52173,x52171))+P108(f330(x52171,x52172))+~P108(f330(x52171,x52174)) % 199.45/199.85 [5460]E(f69(x54603,x54602,x54604),x54602)+E(x54601,f749(x54602,x54603,x54604))+~P108(f330(x54604,x54601)) % 199.45/199.85 [6781]E(f69(x67811,x67812,x67813),f87(x67811,x67813))+~E(f793(x67812,x67811,x67813,x67814),x67814)+~P108(f330(x67813,x67814)) % 199.45/199.85 [6986]~P39(x69862,x69864)+~P39(x69861,x69863)+P39(f934(x69861,x69862),f322(x69861,x69862,x69863,x69864)) % 199.45/199.85 [6987]~P40(x69872,x69874)+~P40(x69871,x69873)+P40(f934(x69871,x69872),f322(x69871,x69872,x69873,x69874)) % 199.45/199.85 [5400]~P7(x54004,x54001)+~E(f330(x54001,x54002),f330(x54001,x54003))+P108(f330(f330(x54001,x54002),x54003)) % 199.45/199.85 [5564]~P7(x55644,x55641)+E(f330(x55641,x55642),f330(x55641,x55643))+~P108(f330(f330(x55641,x55642),x55643)) % 199.45/199.85 [5565]~P15(x55654,x55651)+E(f330(x55651,x55652),f330(x55651,x55653))+~P108(f330(f330(x55651,x55652),x55653)) % 199.45/199.85 [5657]~P18(x56573,x56574,x56571)+E(f330(x56571,x56572),f330(f64(x56573,x56574),x56572))+~P108(f330(f62(x56573),x56572)) % 199.45/199.85 [5658]~P9(x56583,x56584,x56581)+E(f330(x56581,x56582),f330(f64(x56583,x56584),x56582))+~P108(f330(f62(x56583),x56582)) % 199.45/199.85 [5783]~P7(x57834,x57831)+~P108(f330(f330(x57831,x57833),x57832))+P108(f330(f330(x57831,x57832),x57833)) % 199.45/199.85 [5784]~P53(x57844,x57841)+~P108(f330(f330(x57841,x57843),x57842))+P108(f330(f330(x57841,x57842),x57843)) % 199.45/199.85 [5785]~P15(x57854,x57851)+~P108(f330(f330(x57851,x57853),x57852))+P108(f330(f330(x57851,x57852),x57853)) % 199.45/199.85 [5786]~P15(x57863,x57861)+P108(f330(f330(x57861,x57862),x57862))+~P108(f330(f330(x57861,x57864),x57862)) % 199.45/199.85 [5787]~P15(x57873,x57871)+P108(f330(f330(x57871,x57872),x57872))+~P108(f330(f330(x57871,x57872),x57874)) % 199.45/199.85 [5858]E(x58581,x58582)+~E(f330(f254(x58583,x58584),x58581),f330(f254(x58583,x58584),x58582))+~E(f330(f259(x58583,x58584),x58581),f330(f259(x58583,x58584),x58582)) % 199.45/199.85 [5885]E(x58851,x58852)+~P108(f330(f49(x58853,x58854),x58852))+~P108(f330(f49(x58853,x58854),x58851)) % 199.45/199.85 [6076]~P76(x60762)+E(f235(x60761,x60762,x60763,x60764),f2(x60762))+P108(f330(f62(x60761),x60764)) % 199.45/199.85 [6124]~P7(x61243,x61242)+~P108(f330(x61241,x61244))+P108(f330(x61241,f832(x61241,x61242,x61243))) % 199.49/199.85 [6221]~P108(f330(f318(x62211,x62212),x62214))+P108(f330(f318(x62211,x62212),x62213))+~P108(f330(f330(x62212,x62213),x62214)) % 199.49/199.85 [6653]P51(x66531,x66532,x66533,x66534)+P108(f330(f330(x66532,x66534),x66533))+~P108(f330(f330(x66532,x66533),x66534)) % 199.49/199.85 [7021]~P31(x70211,x70213,x70214)+P108(f330(x70211,x70212))+~P108(f330(f330(f332(a1),x70212),f306(a1,x70213,x70214))) % 199.49/199.85 [7213]~P7(x72131,x72133)+~P108(f330(x72132,x72134))+P108(f330(f330(f332(x72131),f832(x72132,x72133,x72131)),f273(x72131,x72133))) % 199.49/199.85 [8097]E(x80971,f2(a928))+~P108(f330(x80972,x80973))+P108(f330(x80972,f781(x80972,x80973,x80971,x80974))) % 199.49/199.85 [8179]~P110(x81792)+~P108(f330(f140(x81791),x81794))+P108(f330(f140(x81791),f153(x81791,x81792,x81793,x81794))) % 199.49/199.85 [8223]E(f69(x82231,x82232,x82233),f87(x82231,x82233))+~P108(f330(x82233,x82234))+P108(f330(x82233,f793(x82232,x82231,x82233,x82234))) % 199.49/199.85 [8403]~P108(f330(f62(x84032),x84034))+~P108(f330(f62(x84031),x84033))+P108(f330(f62(f936(x84031,x84032)),f316(x84031,x84032,x84033,x84034))) % 199.49/199.85 [8404]~P108(f330(f140(x84042),x84044))+~P108(f330(f140(x84041),x84043))+P108(f330(f140(f934(x84041,x84042)),f60(x84041,x84042,x84043,x84044))) % 199.49/199.85 [8407]P108(f330(f330(f332(f929(x84071)),f330(f330(f137(x84071),x84072),x84073)),f164(x84071,x84074)))+~P108(f330(f330(f332(f929(x84071)),x84073),f164(x84071,x84074)))+~P108(f330(f330(f332(f929(x84071)),x84072),f164(x84071,x84074))) % 199.49/199.85 [8685]E(x86851,f2(a928))+P108(f330(x86852,x86853))+~P108(f330(x86852,f782(x86852,x86853,x86851,x86854))) % 199.49/199.85 [8722]~P110(x87223)+~P108(f330(f140(x87221),f153(x87221,x87223,x87224,x87222)))+P108(f330(f140(x87221),x87222)) % 199.49/199.85 [9004]~P108(f330(f330(f332(f934(x90041,x90041)),f330(f330(f255(x90041,x90041),x90042),x90044)),f310(x90041,x90043)))+P108(f330(f330(f332(x90041),x90042),f319(x90041,x90043)))+~P108(f330(f330(f332(x90041),x90044),f319(x90041,x90043))) % 199.49/199.85 [5384]~P72(x53842)+E(f330(f330(f9(x53841,x53842),x53843),x53844),f80(x53842))+P108(f330(f62(x53841),x53844)) % 199.49/199.85 [5387]~P76(x53872)+E(f330(f330(f6(x53871,x53872),x53873),x53874),f2(x53872))+P108(f330(f62(x53871),x53874)) % 199.49/199.85 [5528]~P73(x55283)+E(x55281,x55282)+~E(f330(f330(f82(x55283),x55284),x55281),f330(f330(f82(x55283),x55284),x55282)) % 199.49/199.85 [5529]~P74(x55293)+E(x55291,x55292)+~E(f330(f330(f82(x55293),x55294),x55291),f330(f330(f82(x55293),x55294),x55292)) % 199.49/199.85 [5531]~P73(x55313)+E(x55311,x55312)+~E(f330(f330(f82(x55313),x55311),x55314),f330(f330(f82(x55313),x55312),x55314)) % 199.49/199.85 [5625]~P124(x56251)+~E(x56253,f330(f330(f83(x56251),x56252),x56254))+P108(f330(f330(f290(x56251),x56252),x56253)) % 199.49/199.85 [5653]~P5(x56533)+E(x56531,f191(f935(x56532,a923)))+E(f330(f330(f40(x56532,x56533),x56531),f330(f16(x56533,x56532),x56534)),x56534) % 199.49/199.85 [5654]~P5(x56543)+E(x56541,f191(f935(x56542,a923)))+E(f330(f330(f41(x56542,x56543),x56541),f330(f16(x56543,x56542),x56544)),x56544) % 199.49/199.85 [5804]~E(x58044,f191(f935(x58041,a923)))+~E(x58044,f330(f330(f312(x58041),x58042),x58043))+P108(f330(f330(f332(x58041),x58042),x58043)) % 199.49/199.85 [5871]~P112(x58713)+E(x58711,x58712)+~E(f306(x58713,x58714,x58711),f330(f330(f312(x58713),x58712),f191(f935(x58713,a923)))) % 199.49/199.85 [5872]~P112(x58723)+E(x58721,x58722)+~E(f306(x58723,x58721,x58722),f330(f330(f312(x58723),x58724),f191(f935(x58723,a923)))) % 199.49/199.85 [5932]~P37(x59323,x59321,x59324)+P37(x59323,x59321,f330(f330(f154(x59323),x59322),x59324))+P108(f330(x59321,x59322)) % 199.49/199.85 [6034]~P33(x60341,x60342,x60344)+~P108(f330(x60342,x60343))+P33(x60341,x60342,f330(f330(f154(x60341),x60343),x60344)) % 199.49/199.85 [6176]P108(f330(x61761,x61762))+~P108(f330(f251(x61763,x61761),x61764))+~P108(f330(f330(f332(x61763),x61762),x61764)) % 199.49/199.85 [6185]~P33(x61851,x61852,x61854)+~P33(x61851,x61852,x61853)+P33(x61851,x61852,f330(f330(f137(x61851),x61853),x61854)) % 199.49/199.85 [6200]P35(x62001,x62002,x62003)+~P35(x62001,x62002,f330(f330(f154(x62001),x62004),x62003))+P108(f330(x62002,x62004)) % 199.49/199.85 [6201]P37(x62011,x62012,x62013)+~P37(x62011,x62012,f330(f330(f154(x62011),x62014),x62013))+P108(f330(x62012,x62014)) % 199.49/199.85 [6276]P35(x62761,x62762,x62763)+P35(x62761,x62762,x62764)+~P35(x62761,x62762,f330(f330(f137(x62761),x62764),x62763)) % 199.49/199.85 [6295]~P76(x62951)+E(f330(f330(f6(a928,x62951),x62952),f330(f305(a928,x62953),f330(a115,x62954))),f2(x62951))+~P108(f330(f330(f239(a928),x62954),x62953)) % 199.49/199.85 [6300]~P64(x63001)+~E(f46(x63001,x63002,x63003),f46(x63001,x63004,x63003))+E(f46(x63001,f330(f81(x63001),x63002),x63003),f46(x63001,f330(f81(x63001),x63004),x63003)) % 199.49/199.85 [6370]P108(f330(x63701,x63702))+~E(f330(f139(x63703,x63701),x63704),x63704)+~P108(f330(f330(f332(x63703),x63702),f330(f175(x63703),x63704))) % 199.49/199.85 [6389]~E(f330(f330(f82(a928),x63893),x63892),f330(f330(f82(a928),x63891),x63894))+~P108(f330(f330(f239(a928),x63893),x63894))+P108(f330(f330(f239(a928),x63891),x63892)) % 199.49/199.85 [6395]P35(x63951,x63952,x63953)+~P108(f330(x63952,x63954))+~P108(f330(f330(f332(x63951),x63954),f330(f175(x63951),x63953))) % 199.49/199.85 [6434]~P33(x64343,x64341,x64344)+P108(f330(x64341,x64342))+~P108(f330(f330(f332(x64343),x64342),f330(f175(x64343),x64344))) % 199.49/199.85 [6436]~E(f330(f139(x64361,x64362),x64363),f116(x64361))+~P108(f330(x64362,x64364))+~P108(f330(f330(f332(x64361),x64364),f330(f175(x64361),x64363))) % 199.49/199.85 [6437]~E(f180(x64373,x64371,x64374),x64374)+P108(f330(x64371,x64372))+~P108(f330(f330(f332(x64373),x64372),f330(f175(x64373),x64374))) % 199.49/199.85 [6464]~E(x64644,f191(f935(x64642,a923)))+~E(x64643,f191(f935(x64641,a923)))+E(f316(x64641,x64642,x64643,x64644),f191(f935(f936(x64641,x64642),a923))) % 199.49/199.85 [6611]P108(f330(x66111,x66112))+~P108(f330(f163(x66113,x66111),x66114))+~P108(f330(f330(f332(x66113),x66112),f330(f175(x66113),x66114))) % 199.49/199.85 [6750]~P32(x67501,x67503,x67504)+P108(f330(x67501,x67502))+~P108(f330(f330(f332(a928),x67502),f330(f305(a928,x67503),x67504))) % 199.49/199.85 [6886]~P76(x68861)+E(f330(f330(f6(a928,x68861),x68862),f306(a928,x68863,f330(a115,x68864))),f2(x68861))+~P108(f330(f330(f239(a928),f330(a115,x68864)),x68863)) % 199.49/199.85 [7024]~P110(x70241)+E(f330(f330(f23(f935(x70241,a923)),f330(f305(x70241,x70242),x70243)),f330(f305(x70241,x70242),x70244)),f330(f305(x70241,x70244),x70243))+~P108(f330(f330(f238(x70241),x70242),x70244)) % 199.49/199.85 [7095]~E(x70953,x70954)+E(x70951,f2(a928))+P108(f330(f330(f332(x70952),x70953),f330(f175(x70952),f172(x70952,x70951,x70954)))) % 199.49/199.85 [7376]~P108(f330(f330(f332(f929(x73761)),x73764),f164(x73761,x73763)))+P108(f330(f330(f332(x73761),x73762),x73763))+~P108(f330(f330(f332(x73761),x73762),f330(f175(x73761),x73764))) % 199.49/199.85 [7383]~P39(x73831,x73832)+P108(f330(f330(f332(x73831),f623(x73832,x73831,x73833)),x73833))+~P108(f330(f330(f332(x73831),x73834),x73833)) % 199.49/199.85 [7440]~P72(x74401)+E(f330(f330(f330(f66(x74401,x74402,f83(x74401)),x74403),f80(x74401)),x74404),f330(f330(f9(x74402,x74401),x74403),x74404))+~P108(f330(f62(x74402),x74404)) % 199.49/199.85 [7442]~P76(x74421)+E(f330(f330(f330(f66(x74421,x74422,f82(x74421)),x74423),f2(x74421)),x74424),f330(f330(f6(x74422,x74421),x74423),x74424))+~P108(f330(f62(x74422),x74424)) % 199.49/199.85 [7471]P25(x74711,x74712,x74713,x74714)+~E(f330(f36(x74712),f330(f313(x74711,x74712,x74713),x74714)),f330(f36(x74711),x74714))+~P108(f330(f62(x74711),x74714)) % 199.49/199.85 [7659]~P76(x76591)+E(f330(f330(f82(x76591),f330(x76592,x76593)),f330(f330(f6(a928,x76591),x76592),f308(a928,x76593,x76594))),f330(f330(f6(a928,x76591),x76592),f306(a928,x76593,x76594)))+~P108(f330(f330(f238(a928),x76593),x76594)) % 199.49/199.85 [7669]~P72(x76691)+~P25(x76692,x76691,x76693,x76694)+E(f330(f330(f9(x76691,x76691),f33(x76691)),f330(f313(x76692,x76691,x76693),x76694)),f330(f330(f9(x76692,x76691),x76693),x76694)) % 199.49/199.85 [7670]~P76(x76701)+~P25(x76702,x76701,x76703,x76704)+E(f330(f330(f6(x76701,x76701),f33(x76701)),f330(f313(x76702,x76701,x76703),x76704)),f330(f330(f6(x76702,x76701),x76703),x76704)) % 199.49/199.85 [7719]E(f330(f36(f936(x77191,x77192)),f316(x77191,x77192,x77193,x77194)),f330(f330(f82(a928),f330(f36(x77191),x77193)),f330(f36(x77192),x77194)))+~P108(f330(f62(x77192),x77194))+~P108(f330(f62(x77191),x77193)) % 199.49/199.85 [7801]E(x78011,x78012)+P108(f330(f330(f332(x78013),x78011),f330(f175(x78013),f173(x78013,x78012,x78014))))+~P108(f330(f330(f332(x78013),x78011),f330(f175(x78013),x78014))) % 199.49/199.85 [8028]~P76(x80281)+E(f330(f330(f82(x80281),f330(f330(f6(a928,x80281),x80282),f330(f305(a928,x80283),x80284))),f330(x80282,x80284)),f330(f330(f6(a928,x80281),x80282),f330(f305(a928,x80283),f330(a115,x80284))))+P108(f330(f330(f239(a928),x80284),x80283)) % 199.49/199.85 [8077]~P25(x80771,x80772,x80773,f245(f935(x80771,a923)))+~P108(f330(f62(x80772),x80774))+P108(f330(f62(x80771),f330(f314(x80771,x80772,x80773),x80774))) % 199.49/199.85 [8194]P108(f330(f330(f332(f929(x81941)),f330(f330(f154(x81941),x81942),x81943)),f164(x81941,x81944)))+~P108(f330(f330(f332(f929(x81941)),x81943),f164(x81941,x81944)))+~P108(f330(f330(f332(x81941),x81942),x81944)) % 199.49/199.85 [8280]~E(f330(f313(x82803,x82801,x82804),f245(f935(x82803,a923))),f245(f935(x82801,a923)))+P108(f330(f62(x82801),x82802))+~P108(f330(f62(x82803),f330(f314(x82803,x82801,x82804),x82802))) % 199.49/199.85 [8375]~P25(x83751,x83753,x83754,x83752)+P108(f330(f62(x83751),x83752))+~P108(f330(f62(x83753),f330(f313(x83751,x83753,x83754),x83752))) % 199.49/199.85 [8397]~E(x83972,x83973)+P108(f330(f330(f332(f934(x83971,x83971)),f330(f330(f255(x83971,x83971),x83972),x83973)),f266(x83971,x83974)))+~P108(f330(f330(f332(x83971),x83972),x83974)) % 199.49/199.85 [8430]~P76(x84301)+E(f330(f330(f82(x84301),f330(f330(f6(a928,x84301),x84302),f306(a928,x84303,x84304))),f330(x84302,f330(a115,x84304))),f330(f330(f6(a928,x84301),x84302),f306(a928,x84303,f330(a115,x84304))))+P108(f330(f330(f239(a928),f330(a115,x84304)),x84303)) % 199.49/199.85 [8490]P108(f330(x84901,x84902))+~P108(f330(x84901,f330(f330(f167(x84903),x84904),f673(x84901,x84904,x84903))))+~P108(f330(f330(f332(x84903),x84902),f330(f175(x84903),x84904))) % 199.49/199.85 [8630]~P108(f330(f330(f332(x86301),x86302),f319(x86301,x86304)))+P108(f330(f330(f332(f929(x86301)),f330(f330(f154(x86301),x86302),x86303)),f319(f929(x86301),f160(x86301,x86304))))+~P108(f330(f330(f332(f929(x86301)),x86303),f319(f929(x86301),f160(x86301,x86304)))) % 199.49/199.85 [8645]~P25(x86452,x86453,x86454,f542(x86454,x86453,x86452,x86451))+P25(x86452,x86453,x86454,f39(f935(x86452,a923),x86451))+E(x86451,f191(f935(f935(x86452,a923),a923))) % 199.49/199.85 [8913]E(x89131,x89132)+~P108(f330(f330(f332(f934(x89133,x89133)),f330(f330(f255(x89133,x89133),x89131),x89132)),f310(x89133,x89134)))+P108(f330(f330(f332(x89133),x89131),f330(f267(x89133,x89133),x89134))) % 199.49/199.85 [9196]E(x91961,f2(a928))+P108(f330(x91962,x91963))+P108(f330(f330(f332(x91964),f782(x91962,x91963,x91961,x91964)),f330(f175(x91964),f172(x91964,x91961,x91963)))) % 199.49/199.85 [9208]E(x92081,f2(a928))+~P108(f330(x92083,x92084))+P108(f330(f330(f332(x92082),f781(x92083,x92084,x92081,x92082)),f330(f175(x92082),f172(x92082,x92081,x92084)))) % 199.49/199.85 [9210]~P26(x92101,x92102,x92103,f245(f935(x92101,a923)),f245(f935(x92102,a923)))+~P108(f330(f62(x92102),x92104))+P108(f330(f62(x92101),f330(f314(x92101,x92102,x92103),x92104))) % 199.49/199.85 [9213]P25(x92132,x92133,x92134,f39(f935(x92132,a923),x92131))+E(x92131,f191(f935(f935(x92132,a923),a923)))+P108(f330(f330(f332(f935(x92132,a923)),f542(x92134,x92133,x92132,x92131)),x92131)) % 199.49/199.85 [9328]~P26(x93283,x93281,x93284,f245(f935(x93283,a923)),f245(f935(x93281,a923)))+P108(f330(f62(x93281),x93282))+~P108(f330(f62(x93283),f330(f314(x93283,x93281,x93284),x93282))) % 199.49/199.85 [9345]P108(f330(f62(x93451),x93452))+~P108(f330(f62(x93454),f330(f313(x93451,x93454,x93453),x93452)))+P108(f330(f330(f332(x93451),f784(x93453,x93454,x93452,x93451)),x93452)) % 199.49/199.85 [9440]~P5(x94402)+E(f330(f330(f65(x94401,x94402,f330(f330(f8(x94402,f935(x94402,x94402),x94401),f113(x94402)),x94403)),f191(x94402)),x94404),f330(f330(f40(x94401,x94402),x94404),x94403))+~P108(f330(f62(x94401),x94404)) % 199.49/199.85 [9441]~P5(x94412)+E(f330(f330(f65(x94411,x94412,f330(f330(f8(x94412,f935(x94412,x94412),x94411),f104(x94412)),x94413)),f245(x94412)),x94414),f330(f330(f41(x94411,x94412),x94414),x94413))+~P108(f330(f62(x94411),x94414)) % 199.49/199.85 [9523]P108(f330(x95231,x95232))+~P108(f330(x95231,f330(f330(f167(x95233),x95234),f707(x95232,x95231,x95234,x95233))))+~P108(f330(f330(f332(x95233),x95232),f330(f175(x95233),x95234))) % 199.49/199.85 [9544]E(x95441,x95442)+~P108(f330(f330(f332(f934(x95443,x95443)),f330(f330(f255(x95443,x95443),x95441),x95442)),f310(x95443,x95444)))+P108(f330(f330(f332(f934(x95443,x95443)),f330(f330(f255(x95443,x95443),x95441),x95442)),f330(f330(f292(x95443,x95443,x95443),x95444),f310(x95443,x95444)))) % 199.49/199.85 [9594]~E(f330(f192(f929(x95941)),x95942),f330(f192(f929(x95941)),x95943))+~P108(f330(f330(f332(f934(f929(x95941),f929(x95941))),f330(f330(f255(f929(x95941),f929(x95941)),x95942),x95943)),f150(x95941,x95944)))+P108(f330(f330(f332(f934(f929(x95941),f929(x95941))),f330(f330(f255(f929(x95941),f929(x95941)),x95942),x95943)),f148(x95941,x95944))) % 199.49/199.85 [9831]P33(x98311,f330(f330(f18(x98311,a923,a923),f330(f330(f8(a923,f935(a923,a923),x98311),a329),f330(f330(f8(a923,a923,x98311),a325),x98312))),f330(a327,x98313)),x98314)+~P108(f330(x98312,x98313))+~P37(x98311,x98312,f330(f330(f154(x98311),x98313),x98314)) % 199.49/199.85 [9997]~P33(x99971,f330(f330(f18(x99971,a923,a923),f330(f330(f8(a923,f935(a923,a923),x99971),a329),f330(f330(f8(a923,a923,x99971),a325),x99972))),f330(a327,x99973)),x99974)+~P108(f330(x99972,x99973))+P37(x99971,x99972,f330(f330(f154(x99971),x99973),x99974)) % 199.49/199.85 [10001]~P37(x100011,x100012,x100014)+~P33(x100011,f330(f330(f18(x100011,a923,a923),f330(f330(f8(a923,f935(a923,a923),x100011),a329),f330(f330(f8(a923,a923,x100011),a325),x100012))),f330(a327,x100013)),x100014)+P37(x100011,x100012,f330(f330(f154(x100011),x100013),x100014)) % 199.49/199.85 [10034]~P3(x100341)+E(f330(f330(f6(a928,x100341),f330(f330(f18(a928,x100341,x100341),f330(f330(f8(x100341,f935(x100341,x100341),a928),f23(x100341)),x100342)),f330(f330(f8(a928,x100341,a928),x100342),f330(f330(f7(a928,a928,a928),f82(a928)),f80(a928))))),f306(a928,x100343,x100344)),f2(x100341))+P108(f330(f330(f238(a928),x100343),x100344)) % 199.49/199.85 [10265]~P39(x102652,x102654)+~P25(x102652,x102651,x102653,f245(f935(x102652,a923)))+P39(x102651,f330(f313(f934(x102652,x102652),f934(x102651,x102651),f261(x102652,x102651,x102652,x102651,x102653,x102653)),x102654)) % 199.49/199.85 [10455]~E(f330(f192(f929(x104551)),x104553),f330(f192(f929(x104551)),x104552))+P108(f330(f330(f332(f934(f929(x104551),f929(x104551))),f330(f330(f255(f929(x104551),f929(x104551)),x104552),x104553)),f161(x104551,x104554)))+~P108(f330(f330(f260(x104551,x104551,a923),f330(f330(f7(x104551,f935(f934(x104551,x104551),a923),f935(x104551,a923)),f330(f330(f8(f935(x104551,f935(f935(f934(x104551,x104551),a923),a923)),f935(f935(f934(x104551,x104551),a923),f935(x104551,a923)),x104551),f7(x104551,f935(f934(x104551,x104551),a923),a923)),f330(f330(f8(f935(x104551,f934(x104551,x104551)),f935(x104551,f935(f935(f934(x104551,x104551),a923),a923)),x104551),f330(f8(f934(x104551,x104551),f935(f935(f934(x104551,x104551),a923),a923),x104551),f332(f934(x104551,x104551)))),f255(x104551,x104551)))),x104554)),f675(x104554,x104553,x104552,x104551))) % 199.49/199.85 [6351]~P63(x63511)+~E(x63512,f2(x63511))+E(f330(f330(f37(x63511),f330(f330(f83(x63511),x63512),x63513)),f330(f330(f83(x63511),x63512),x63514)),f2(x63511)) % 199.49/199.85 [6392]E(x63921,f116(x63922))+E(x63923,f330(f330(f23(a928),f330(f192(f929(x63922)),x63921)),f80(a928)))+E(f147(x63922,f330(f330(f162(x63922,x63921),x63923),x63924)),f147(x63922,x63921)) % 199.49/199.85 [6425]E(x64251,x64252)+P108(f330(x64253,x64252))+~P108(f330(f330(f330(f312(x64254),x64251),x64253),x64252)) % 199.49/199.85 [6441]~P76(x64411)+~P108(f330(f140(x64412),x64414))+E(f330(f168(x64411),f330(f330(f157(x64412,x64411),x64413),x64414)),f330(f330(f6(x64412,x64411),x64413),f330(f175(x64412),x64414))) % 199.49/199.85 [6457]~P72(x64572)+~P108(f330(f62(x64571),x64574))+E(f330(f330(f9(x64571,x64572),f330(f16(x64572,x64571),x64573)),x64574),f330(f330(f247(x64572),x64573),f330(f36(x64571),x64574))) % 199.49/199.85 [6510]~P63(x65102)+E(x65101,f2(x65102))+E(f330(f330(f37(x65102),f330(f330(f83(x65102),x65103),x65101)),f330(f330(f83(x65102),x65104),x65101)),f330(f330(f37(x65102),x65103),x65104)) % 199.49/199.85 [6512]~P66(x65122)+E(x65121,f2(x65122))+E(f330(f330(f294(x65122),f330(f330(f83(x65122),x65123),x65121)),f330(f330(f83(x65122),x65124),x65121)),f330(f330(f294(x65122),x65123),x65124)) % 199.49/199.85 [6513]~P66(x65132)+E(x65131,f2(x65132))+E(f330(f330(f294(x65132),f330(f330(f83(x65132),x65131),x65133)),f330(f330(f83(x65132),x65131),x65134)),f330(f330(f294(x65132),x65133),x65134)) % 199.49/199.85 [6514]~P63(x65142)+E(x65141,f2(x65142))+E(f330(f330(f37(x65142),f330(f330(f83(x65142),x65141),x65143)),f330(f330(f83(x65142),x65141),x65144)),f330(f330(f37(x65142),x65143),x65144)) % 199.49/199.85 [6579]P108(f330(x65791,x65792))+~E(x65793,f330(f330(f82(a928),x65794),x65792))+~P108(f330(x65791,f330(f330(f23(a928),x65793),x65794))) % 199.49/199.85 [6663]P28(x66631,x66632,x66633)+P30(x66631,f582(x66633,x66632,x66631),x66634)+~P108(f330(f330(f332(f927(x66631)),x66634),x66632)) % 199.49/199.85 [6665]~P108(f330(x66652,x66653))+~P108(f330(f163(x66651,x66652),x66654))+P108(f330(f163(x66651,x66652),f330(f330(f154(x66651),x66653),x66654))) % 199.49/199.85 [6707]E(x67071,f116(x67072))+~E(x67073,f330(f330(f23(a928),f330(f192(f929(x67072)),x67071)),f80(a928)))+E(f147(x67072,f330(f330(f162(x67072,x67071),x67073),x67074)),x67074) % 199.49/199.85 [6731]~P110(x67311)+~P108(f330(f330(f238(x67311),x67312),x67314))+P108(f330(f330(f238(x67311),x67312),f330(f330(f237(x67311),x67313),x67314))) % 199.49/199.85 [6733]~P110(x67331)+~P108(f330(f330(f238(x67331),x67332),x67333))+P108(f330(f330(f238(x67331),x67332),f330(f330(f237(x67331),x67333),x67334))) % 199.49/199.85 [6734]~P105(x67341)+~P108(f330(f330(f238(x67341),x67342),x67344))+P108(f330(f330(f238(x67341),x67342),f330(f330(f113(x67341),x67343),x67344))) % 199.49/199.85 [6735]~P105(x67351)+~P108(f330(f330(f238(x67351),x67352),x67353))+P108(f330(f330(f238(x67351),x67352),f330(f330(f113(x67351),x67353),x67354))) % 199.49/199.85 [6737]~P110(x67371)+~P108(f330(f330(f239(x67371),x67372),x67374))+P108(f330(f330(f239(x67371),x67372),f330(f330(f237(x67371),x67373),x67374))) % 199.49/199.85 [6739]~P110(x67391)+~P108(f330(f330(f239(x67391),x67392),x67393))+P108(f330(f330(f239(x67391),x67392),f330(f330(f237(x67391),x67393),x67394))) % 199.49/199.85 [6740]~P105(x67401)+~P108(f330(f330(f239(x67401),x67402),x67404))+P108(f330(f330(f239(x67401),x67402),f330(f330(f113(x67401),x67403),x67404))) % 199.49/199.85 [6741]~P105(x67411)+~P108(f330(f330(f239(x67411),x67412),x67413))+P108(f330(f330(f239(x67411),x67412),f330(f330(f113(x67411),x67413),x67414))) % 199.49/199.85 [6742]~P114(x67421)+~P108(f330(f330(f290(x67421),x67422),x67424))+P108(f330(f330(f290(x67421),x67422),f330(f330(f83(x67421),x67423),x67424))) % 199.49/199.85 [6743]~P114(x67431)+~P108(f330(f330(f290(x67431),x67432),x67433))+P108(f330(f330(f290(x67431),x67432),f330(f330(f83(x67431),x67433),x67434))) % 199.49/199.85 [6831]~E(f330(f330(f167(x68311),x68312),x68313),x68314)+E(f330(f330(f162(x68311,x68312),x68313),x68314),x68312)+~P108(f330(f330(f239(a928),x68313),f330(f192(f929(x68311)),x68312))) % 199.49/199.85 [6870]P108(f330(x68701,x68702))+~P108(f330(x68703,x68702))+~P108(f330(f330(f238(f935(x68704,a923)),x68703),x68701)) % 199.49/199.85 [6903]~E(f330(f330(f162(x69031,x69032),x69033),x69034),x69032)+E(f330(f330(f167(x69031),x69032),x69033),x69034)+~P108(f330(f330(f239(a928),x69033),f330(f192(f929(x69031)),x69032))) % 199.49/199.85 [6917]~P108(f330(f163(x69171,x69172),x69174))+~P108(f330(f163(x69171,x69172),x69173))+P108(f330(f163(x69171,x69172),f330(f330(f137(x69171),x69173),x69174))) % 199.49/199.85 [7013]P30(x70131,x70132,x70133)+~P30(x70131,f330(a115,x70132),f588(x70132,x70134,x70131))+~P108(f330(f330(f332(f927(x70131)),x70133),x70134)) % 199.49/199.85 [7020]E(x70201,f191(f935(x70202,a923)))+E(x70203,f191(f935(x70204,a923)))+~E(f330(f330(f257(x70204,x70202),x70203),f330(f16(f935(x70202,a923),x70204),x70201)),f191(f935(f934(x70204,x70202),a923))) % 199.49/199.85 [7040]E(x70401,x70402)+P108(f330(f330(f332(x70403),x70401),x70404))+~P108(f330(f330(f332(x70403),x70401),f330(f330(f312(x70403),x70402),x70404))) % 199.49/199.85 [7057]~P110(x70571)+P108(f330(f330(f238(x70571),x70572),x70573))+~P108(f330(f330(f238(x70571),x70572),f330(f330(f236(x70571),x70574),x70573))) % 199.49/199.85 [7059]~P110(x70591)+P108(f330(f330(f238(x70591),x70592),x70593))+~P108(f330(f330(f238(x70591),x70592),f330(f330(f236(x70591),x70593),x70594))) % 199.49/199.85 [7061]~P104(x70611)+P108(f330(f330(f238(x70611),x70612),x70613))+~P108(f330(f330(f238(x70611),x70612),f330(f330(f104(x70611),x70614),x70613))) % 199.49/199.85 [7063]~P104(x70631)+P108(f330(f330(f238(x70631),x70632),x70633))+~P108(f330(f330(f238(x70631),x70632),f330(f330(f104(x70631),x70633),x70634))) % 199.49/199.85 [7064]~P110(x70641)+P108(f330(f330(f239(x70641),x70642),x70643))+~P108(f330(f330(f239(x70641),x70642),f330(f330(f236(x70641),x70644),x70643))) % 199.49/199.85 [7065]~P110(x70651)+P108(f330(f330(f239(x70651),x70652),x70653))+~P108(f330(f330(f239(x70651),x70652),f330(f330(f236(x70651),x70653),x70654))) % 199.49/199.85 [7086]~E(f330(f330(f167(x70861),x70863),x70864),x70862)+P108(f330(f330(f332(x70861),x70862),f330(f175(x70861),x70863)))+~P108(f330(f330(f239(a928),x70864),f330(f192(f929(x70861)),x70863))) % 199.49/199.85 [7096]~P110(x70961)+~P13(x70961,f330(f330(f154(x70961),x70962),f330(f330(f154(x70961),x70963),x70964)))+P108(f330(f330(f238(x70961),x70962),x70963)) % 199.49/199.85 [7240]~P33(x72402,x72401,x72403)+P108(f330(x72401,f330(f330(f167(x72402),x72403),x72404)))+~P108(f330(f330(f239(a928),x72404),f330(f192(f929(x72402)),x72403))) % 199.49/199.85 [7258]E(x72581,f2(a1))+E(f330(f330(f37(a1),x72582),x72581),x72583)+~P108(f330(f50(x72582,x72581),f330(f330(f255(a1,a1),x72583),x72584))) % 199.49/199.85 [7279]E(f46(a1,x72792,x72791),x72793)+E(x72791,f2(a1))+~P108(f330(f50(x72792,x72791),f330(f330(f255(a1,a1),x72794),x72793))) % 199.49/199.85 [7400]P108(f330(f330(f332(x74001),x74002),x74003))+~P108(f330(f330(f332(x74001),x74002),x74004))+~P108(f330(f330(f239(f935(x74001,a923)),x74004),x74003)) % 199.49/199.85 [7401]P108(f330(f330(f332(x74011),x74012),x74013))+~P108(f330(f330(f332(x74011),x74012),x74014))+~P108(f330(f330(f238(f935(x74011,a923)),x74014),x74013)) % 199.49/199.85 [7412]~P123(x74121)+~E(x74123,f2(x74121))+P108(f330(f330(f290(x74121),f330(f330(f83(x74121),x74122),x74123)),f330(f330(f83(x74121),x74124),x74123))) % 199.49/199.85 [7413]~P123(x74131)+~E(x74132,f2(x74131))+P108(f330(f330(f290(x74131),f330(f330(f83(x74131),x74132),x74133)),f330(f330(f83(x74131),x74132),x74134))) % 199.49/199.85 [7515]P35(x75151,x75152,x75153)+~P108(f330(x75152,f330(f330(f167(x75151),x75153),x75154)))+~P108(f330(f330(f239(a928),x75154),f330(f192(f929(x75151)),x75153))) % 199.49/199.85 [7627]~P111(x76272)+~P108(f330(f330(f239(f935(x76271,x76272)),x76273),x76274))+P108(f330(f330(f238(f935(x76271,x76272)),x76273),x76274)) % 199.49/199.85 [7708]~P24(x77081,x77082,x77084)+P24(x77081,x77082,f330(f330(f312(f927(x77081)),x77083),x77084))+~P24(x77081,x77082,f330(f330(f312(f927(x77081)),x77083),f191(f935(f927(x77081),a923)))) % 199.49/199.85 [7750]~P108(f330(f330(f332(x77501),x77502),x77504))+P108(f330(f330(f332(x77501),x77502),f38(f935(x77501,a923),x77503)))+~P108(f330(f330(f332(f935(x77501,a923)),x77504),x77503)) % 199.49/199.85 [7760]P30(x77601,x77602,x77603)+P108(f330(f330(f332(f927(x77601)),f588(x77602,x77604,x77601)),x77604))+~P108(f330(f330(f332(f927(x77601)),x77603),x77604)) % 199.49/199.85 [7779]~P84(x77791)+~P108(f330(f330(f238(x77791),x77793),x77794))+P108(f330(f330(f238(x77791),f330(f330(f82(x77791),x77792),x77793)),f330(f330(f82(x77791),x77792),x77794))) % 199.49/199.85 [7780]~P85(x77801)+~P108(f330(f330(f238(x77801),x77803),x77804))+P108(f330(f330(f238(x77801),f330(f330(f82(x77801),x77802),x77803)),f330(f330(f82(x77801),x77802),x77804))) % 199.49/199.85 [7781]~P84(x77811)+~P108(f330(f330(f238(x77811),x77812),x77814))+P108(f330(f330(f238(x77811),f330(f330(f82(x77811),x77812),x77813)),f330(f330(f82(x77811),x77814),x77813))) % 199.49/199.85 [7782]~P85(x77821)+~P108(f330(f330(f238(x77821),x77822),x77824))+P108(f330(f330(f238(x77821),f330(f330(f82(x77821),x77822),x77823)),f330(f330(f82(x77821),x77824),x77823))) % 199.49/199.85 [7783]~P84(x77831)+~P108(f330(f330(f239(x77831),x77833),x77834))+P108(f330(f330(f239(x77831),f330(f330(f82(x77831),x77832),x77833)),f330(f330(f82(x77831),x77832),x77834))) % 199.49/199.85 [7784]~P87(x77841)+~P108(f330(f330(f239(x77841),x77843),x77844))+P108(f330(f330(f239(x77841),f330(f330(f82(x77841),x77842),x77843)),f330(f330(f82(x77841),x77842),x77844))) % 199.49/199.85 [7785]~P84(x77851)+~P108(f330(f330(f239(x77851),x77852),x77854))+P108(f330(f330(f239(x77851),f330(f330(f82(x77851),x77852),x77853)),f330(f330(f82(x77851),x77854),x77853))) % 199.49/199.85 [7786]~P87(x77861)+~P108(f330(f330(f239(x77861),x77862),x77864))+P108(f330(f330(f239(x77861),f330(f330(f82(x77861),x77862),x77863)),f330(f330(f82(x77861),x77864),x77863))) % 199.49/199.85 [7787]~P123(x77871)+~P108(f330(f330(f290(x77871),x77873),x77874))+P108(f330(f330(f290(x77871),f330(f330(f83(x77871),x77872),x77873)),f330(f330(f83(x77871),x77872),x77874))) % 199.49/199.85 [7788]~P123(x77881)+~P108(f330(f330(f290(x77881),x77882),x77884))+P108(f330(f330(f290(x77881),f330(f330(f83(x77881),x77882),x77883)),f330(f330(f83(x77881),x77884),x77883))) % 199.49/199.85 [7795]~P132(x77951)+~P94(x77951)+E(f330(f330(f23(x77951),f330(f330(f83(x77951),x77952),f330(f106(x77951),x77953))),f330(f330(f83(x77951),x77954),f330(f106(x77951),x77953))),f330(f330(f83(x77951),f330(f330(f23(x77951),x77952),x77954)),f330(f106(x77951),x77953))) % 199.49/199.85 [7796]~P131(x77961)+~P94(x77961)+E(f330(f330(f82(x77961),f330(f330(f83(x77961),x77962),f330(f106(x77961),x77963))),f330(f330(f83(x77961),x77964),f330(f106(x77961),x77963))),f330(f330(f83(x77961),f330(f330(f82(x77961),x77962),x77964)),f330(f106(x77961),x77963))) % 199.49/199.85 [7832]~P76(x78321)+E(f330(f330(f82(x78321),f330(x78322,x78323)),f330(f330(f6(a928,x78321),x78322),f306(a928,f330(a115,x78323),x78324))),f330(f330(f6(a928,x78321),x78322),f306(a928,x78323,x78324)))+~P108(f330(f330(f238(a928),x78323),x78324)) % 199.49/199.85 [7844]~P25(x78442,x78441,x78443,f330(f175(x78442),x78444))+~P108(f330(f140(x78442),x78444))+P108(f330(f140(x78441),f330(f330(f157(x78442,x78441),x78443),x78444))) % 199.49/199.85 [7893]~P108(f330(f330(f238(a928),x78932),x78934))+~P108(f330(f330(f238(a928),x78931),x78933))+P108(f330(f330(f238(a928),f330(f330(f83(a928),x78931),x78932)),f330(f330(f83(a928),x78933),x78934))) % 199.49/199.85 [7894]~P108(f330(f330(f238(a928),x78942),x78944))+~P108(f330(f330(f238(a928),x78941),x78943))+P108(f330(f330(f238(a928),f330(f330(f82(a928),x78941),x78942)),f330(f330(f82(a928),x78943),x78944))) % 199.49/199.85 [7897]~P108(f330(f330(f239(a928),x78972),x78974))+~P108(f330(f330(f239(a928),x78971),x78973))+P108(f330(f330(f239(a928),f330(f330(f82(a928),x78971),x78972)),f330(f330(f82(a928),x78973),x78974))) % 199.49/199.85 [7898]~P108(f330(f330(f238(a1),x78982),x78984))+~P108(f330(f330(f239(a1),x78981),x78983))+P108(f330(f330(f239(a1),f330(f330(f82(a1),x78981),x78982)),f330(f330(f82(a1),x78983),x78984))) % 199.49/199.85 [7945]P108(f330(f330(f332(x79451),x79452),x79453))+~P108(f330(f330(f332(x79451),x79452),f39(f935(x79451,a923),x79454)))+~P108(f330(f330(f332(f935(x79451,a923)),x79453),x79454)) % 199.49/199.85 [7961]~P108(f330(x79611,f671(x79611,x79613,x79612)))+P108(f330(x79611,f330(f330(f167(x79612),x79613),x79614)))+~P108(f330(f330(f239(a928),x79614),f330(f192(f929(x79612)),x79613))) % 199.49/199.85 [7966]P108(f330(x79661,x79662))+~P108(f330(f330(f332(x79664),x79662),f330(f175(x79664),x79663)))+P108(f330(f330(f239(a928),f673(x79661,x79663,x79664)),f330(f192(f929(x79664)),x79663))) % 199.49/199.85 [8013]~P111(x80131)+~P108(f330(f330(f239(f935(x80132,x80131)),x80134),x80133))+~P108(f330(f330(f238(f935(x80132,x80131)),x80133),x80134)) % 199.49/199.85 [8056]~P108(f330(x80564,x80562))+~P108(f330(f330(f332(x80561),x80562),x80563))+P108(f330(f330(f332(x80561),x80562),f330(f330(f104(f935(x80561,a923)),x80563),f330(f265(x80561),x80564)))) % 199.49/199.85 [8201]~P108(f330(f330(f332(x82011),x82013),x82014))+~P108(f330(f330(f239(f935(x82011,a923)),x82012),x82014))+P108(f330(f330(f239(f935(x82011,a923)),x82012),f330(f330(f312(x82011),x82013),x82014))) % 199.49/199.85 [8203]E(f330(f330(f104(f935(x82031,a923)),x82032),x82033),f191(f935(x82031,a923)))+~E(f330(f330(f104(f935(x82031,a923)),f38(f935(x82031,a923),x82034)),x82033),f191(f935(x82031,a923)))+~P108(f330(f330(f332(f935(x82031,a923)),x82032),x82034)) % 199.49/199.85 [8276]P108(f330(f330(f332(x82761),x82762),x82763))+~P108(f330(f330(f238(f935(x82761,a923)),x82763),f330(f330(f312(x82761),x82762),x82764)))+P108(f330(f330(f238(f935(x82761,a923)),x82763),x82764)) % 199.49/199.85 [8293]P108(f330(f330(f332(x82932),f671(x82931,x82933,x82932)),f330(f175(x82932),x82933)))+P108(f330(x82931,f330(f330(f167(x82932),x82933),x82934)))+~P108(f330(f330(f239(a928),x82934),f330(f192(f929(x82932)),x82933))) % 199.49/199.85 [8301]~P108(f330(f330(f238(f935(x83011,a923)),x83012),x83014))+P108(f330(f330(f238(f935(x83011,a923)),x83012),x83013))+~P108(f330(f330(f238(f935(x83011,a923)),x83014),x83013)) % 199.49/199.85 [8302]~P108(f330(f330(f239(f935(x83021,a923)),x83022),x83024))+~P108(f330(f330(f238(f935(x83021,a923)),x83024),x83023))+P108(f330(f330(f239(f935(x83021,a923)),x83022),x83023)) % 199.49/199.85 [8303]~P108(f330(f330(f238(f935(x83031,a923)),x83032),x83034))+~P108(f330(f330(f239(f935(x83031,a923)),x83034),x83033))+P108(f330(f330(f239(f935(x83031,a923)),x83032),x83033)) % 199.49/199.85 [8304]~P108(f330(f330(f239(f935(x83041,a923)),x83042),x83044))+P108(f330(f330(f239(f935(x83041,a923)),x83042),x83043))+~P108(f330(f330(f239(f935(x83041,a923)),x83044),x83043)) % 199.49/199.85 [8347]~P108(f330(f330(f332(x83471),x83474),x83473))+~P108(f330(f330(f239(f935(x83471,a923)),x83472),f330(f330(f312(x83471),x83474),x83473)))+P108(f330(f330(f239(f935(x83471,a923)),x83472),x83473)) % 199.49/199.85 [8358]~P84(x83581)+P108(f330(f330(f238(x83581),x83582),x83583))+~P108(f330(f330(f238(x83581),f330(f330(f82(x83581),x83584),x83582)),f330(f330(f82(x83581),x83584),x83583))) % 199.49/199.85 [8360]~P84(x83601)+P108(f330(f330(f238(x83601),x83602),x83603))+~P108(f330(f330(f238(x83601),f330(f330(f82(x83601),x83602),x83604)),f330(f330(f82(x83601),x83603),x83604))) % 199.49/199.85 [8362]~P84(x83621)+P108(f330(f330(f239(x83621),x83622),x83623))+~P108(f330(f330(f239(x83621),f330(f330(f82(x83621),x83624),x83622)),f330(f330(f82(x83621),x83624),x83623))) % 199.49/199.85 [8364]~P84(x83641)+P108(f330(f330(f239(x83641),x83642),x83643))+~P108(f330(f330(f239(x83641),f330(f330(f82(x83641),x83642),x83644)),f330(f330(f82(x83641),x83643),x83644))) % 199.49/199.85 [8414]P108(f330(x84141,x84142))+~E(f330(f330(f141(x84143),f330(f192(f929(x84143)),f180(x84143,x84141,x84144))),x84144),f116(x84143))+~P108(f330(f330(f332(x84143),x84142),f330(f175(x84143),x84144))) % 199.49/199.85 [8532]P108(f330(x85321,x85322))+~P108(f330(f330(f332(x85323),x85322),f330(f175(x85323),x85324)))+P108(f330(f330(f239(a928),f330(f192(f929(x85323)),f330(f139(x85323,x85321),x85324))),f330(f192(f929(x85323)),x85324))) % 199.49/199.85 [9020]~P108(f330(x90201,f764(x90201,x90203,x90202,x90204)))+P108(f330(x90201,f330(f330(f167(x90202),x90203),x90204)))+~P108(f330(f330(f239(a928),x90204),f330(f192(f929(x90202)),x90203))) % 199.49/199.85 [9044]~P25(x90444,x90443,x90441,f245(f935(x90444,a923)))+E(f330(x90441,f495(x90442,x90441,x90443,x90444)),x90442)+~P108(f330(f330(f332(x90443),x90442),f330(f313(x90444,x90443,x90441),f245(f935(x90444,a923))))) % 199.49/199.85 [9112]E(f180(x91121,x91122,x91123),f330(f330(f178(x91121),x91124),x91123))+P108(f330(f330(f239(a928),f734(x91122,x91123,x91121,x91124)),x91124))+P108(f330(f330(f239(a928),x91124),f330(f192(f929(x91121)),x91123))) % 199.49/199.85 [9115]E(f180(x91151,x91152,x91153),f330(f330(f178(x91151),x91154),x91153))+P108(f330(f330(f239(a928),f734(x91152,x91153,x91151,x91154)),x91154))+P108(f330(x91152,f330(f330(f167(x91151),x91153),x91154))) % 199.49/199.85 [9150]P108(f330(x91501,x91502))+~P108(f330(f330(f332(x91504),x91502),f330(f175(x91504),x91503)))+P108(f330(f330(f239(a928),f707(x91502,x91501,x91503,x91504)),f330(f192(f929(x91504)),x91503))) % 199.49/199.85 [9153]E(f180(x91531,x91532,x91533),f330(f330(f178(x91531),x91534),x91533))+P108(f330(f330(f239(a928),x91534),f330(f192(f929(x91531)),x91533)))+P108(f330(f330(f239(a928),f734(x91532,x91533,x91531,x91534)),f330(f192(f929(x91531)),x91533))) % 199.49/199.85 [9160]E(f180(x91601,x91602,x91603),f330(f330(f178(x91601),x91604),x91603))+P108(f330(x91602,f330(f330(f167(x91601),x91603),x91604)))+P108(f330(f330(f239(a928),f734(x91602,x91603,x91601,x91604)),f330(f192(f929(x91601)),x91603))) % 199.49/199.85 [9187]~P113(x91874)+P108(f330(f330(f332(x91871),f654(x91872,x91873,x91871,x91874)),x91873))+P108(f330(f330(f239(x91874),f2(x91874)),f330(f330(f9(x91871,x91874),x91872),x91873))) % 199.49/199.85 [9188]~P113(x91884)+P108(f330(f330(f332(x91881),f659(x91882,x91883,x91881,x91884)),x91883))+P108(f330(f330(f238(x91884),f2(x91884)),f330(f330(f9(x91881,x91884),x91882),x91883))) % 199.49/199.85 [9215]~P108(f330(f62(x92151),x92154))+P108(f330(f330(f332(x92151),f553(x92152,x92153,x92154,x92151)),x92154))+P108(f330(f62(f934(x92151,x92153)),f330(f330(f257(x92151,x92153),x92154),x92152))) % 199.49/199.85 [9247]P108(f330(f330(f332(x92472),f764(x92471,x92473,x92472,x92474)),f330(f175(x92472),x92473)))+P108(f330(x92471,f330(f330(f167(x92472),x92473),x92474)))+~P108(f330(f330(f239(a928),x92474),f330(f192(f929(x92472)),x92473))) % 199.49/199.85 [9377]P108(f330(f330(f238(a928),x93774),f330(f192(f929(x93772)),f180(x93772,x93773,x93771))))+P108(f330(f330(f239(a928),f735(x93771,x93772,x93773,x93774)),x93774))+~P108(f330(f330(f238(a928),x93774),f330(f192(f929(x93772)),x93771))) % 199.49/199.85 [9527]E(f180(x95271,x95272,x95273),f330(f330(f178(x95271),x95274),x95273))+~P108(f330(x95272,f330(f330(f167(x95271),x95273),f734(x95272,x95273,x95271,x95274))))+P108(f330(f330(f239(a928),x95274),f330(f192(f929(x95271)),x95273))) % 199.49/199.85 [9534]E(f180(x95341,x95342,x95343),f330(f330(f178(x95341),x95344),x95343))+~P108(f330(x95342,f330(f330(f167(x95341),x95343),f734(x95342,x95343,x95341,x95344))))+P108(f330(x95342,f330(f330(f167(x95341),x95343),x95344))) % 199.49/199.85 [9538]~P108(f330(f62(x95381),x95383))+~P108(f330(f62(x95382),f330(x95384,f553(x95384,x95382,x95383,x95381))))+P108(f330(f62(f934(x95381,x95382)),f330(f330(f257(x95381,x95382),x95383),x95384))) % 199.49/199.85 [9546]~P113(x95461)+~P108(f330(f330(f238(x95461),f2(x95461)),f330(x95463,f659(x95463,x95464,x95462,x95461))))+P108(f330(f330(f238(x95461),f2(x95461)),f330(f330(f9(x95462,x95461),x95463),x95464))) % 199.49/199.85 [9547]~P113(x95471)+~P108(f330(f330(f239(x95471),f2(x95471)),f330(x95473,f654(x95473,x95474,x95472,x95471))))+P108(f330(f330(f239(x95471),f2(x95471)),f330(f330(f9(x95472,x95471),x95473),x95474))) % 199.49/199.85 [9555]~E(f330(f192(f929(x95554)),x95552),f330(f192(f929(x95554)),x95553))+P108(f330(f330(f332(f934(f929(x95554),f929(x95554))),f330(f330(f255(f929(x95554),f929(x95554)),x95553),x95552)),f161(x95554,x95551)))+P108(f330(f330(f239(a928),f660(x95551,x95552,x95553,x95554)),f330(f192(f929(x95554)),x95553))) % 199.49/199.85 [9607]~P108(f330(x96073,f330(f330(f167(x96072),x96074),f735(x96074,x96072,x96073,x96071))))+P108(f330(f330(f238(a928),x96071),f330(f192(f929(x96072)),f180(x96072,x96073,x96074))))+~P108(f330(f330(f238(a928),x96071),f330(f192(f929(x96072)),x96074))) % 199.49/199.85 [9688]E(f330(f330(f178(x96881),f672(x96882,x96883,x96884,x96881)),x96883),f330(f330(f178(x96881),f672(x96882,x96883,x96884,x96881)),x96884))+~P108(f330(f330(f332(f934(f929(x96881),f929(x96881))),f330(f330(f255(f929(x96881),f929(x96881)),x96884),x96883)),f150(x96881,x96882)))+P108(f330(f330(f239(a928),f330(f192(f929(x96881)),x96884)),f330(f192(f929(x96881)),x96883))) % 199.49/199.85 [9744]~P108(f330(f330(f239(a928),f2(a928)),x97443))+~P108(f330(f330(f239(a928),x97444),x97441))+P108(f330(f330(f239(a928),f330(f330(f82(a928),f330(f330(f83(a928),x97441),f46(a928,x97442,x97443))),x97444)),f330(f330(f83(a928),x97441),x97443))) % 199.49/199.85 [9936]~P111(x99362)+~P108(f330(f330(f238(x99362),f330(x99363,f382(x99364,x99363,x99361,x99362))),f330(x99364,f382(x99364,x99363,x99361,x99362))))+P108(f330(f330(f238(f935(x99361,x99362)),x99363),x99364)) % 199.49/199.85 [10039]~P3(x100391)+E(f330(f330(f6(a928,x100391),f330(f330(f18(a928,x100391,x100391),f330(f330(f8(x100391,f935(x100391,x100391),a928),f23(x100391)),x100392)),f330(f330(f8(a928,x100391,a928),x100392),f330(f330(f7(a928,a928,a928),f82(a928)),f80(a928))))),f306(a928,x100393,x100394)),f330(f330(f23(x100391),f330(x100392,x100393)),f330(x100392,f330(f330(f82(a928),x100394),f80(a928)))))+~P108(f330(f330(f238(a928),x100393),x100394)) % 199.49/199.85 [10115]~P39(x101153,f330(f330(f292(x101153,x101153,x101153),x101152),f310(x101153,x101152)))+~P108(f330(f330(f332(f934(x101153,x101153)),f330(f330(f255(x101153,x101153),f330(x101151,f330(a115,f847(x101152,x101151,x101153)))),f330(x101151,f847(x101152,x101151,x101153)))),f310(x101153,x101152)))+E(f330(x101151,f330(f330(f82(a928),f846(x101152,x101151,x101153)),x101154)),f330(x101151,f846(x101152,x101151,x101153))) % 199.49/199.85 [7004]~P63(x70041)+E(f330(f330(f37(x70041),f330(f330(f83(x70041),x70042),x70043)),x70044),f330(f330(f83(x70041),x70042),f330(f330(f37(x70041),x70043),x70044)))+~P108(f330(f330(f290(x70041),x70044),x70043)) % 199.49/199.85 [7090]E(f330(f330(f137(x70901),x70902),x70903),x70904)+~E(x70903,f330(f330(f141(x70901),f330(f192(f929(x70901)),x70902)),x70904))+~E(f330(f330(f178(x70901),f330(f192(f929(x70901)),x70902)),x70904),x70902) % 199.49/199.85 [7146]~P67(x71462)+E(x71461,f2(x71462))+E(f330(f330(f294(x71462),f330(f330(f247(x71462),x71463),x71464)),f330(f330(f247(x71462),x71461),x71464)),f330(f330(f247(x71462),f330(f330(f294(x71462),x71463),x71461)),x71464)) % 199.49/199.85 [7289]~P63(x72891)+E(f330(f330(f37(x72891),f330(f330(f83(x72891),x72892),x72893)),x72894),f330(f330(f83(x72891),f330(f330(f37(x72891),x72892),x72894)),x72893))+~P108(f330(f330(f290(x72891),x72894),x72892)) % 199.49/199.85 [7298]~P110(x72981)+~P108(f330(f330(f238(x72981),x72983),x72984))+P108(f330(f330(f238(x72981),f330(f330(f236(x72981),x72982),x72983)),x72984)) % 199.49/199.85 [7300]~P110(x73001)+~P108(f330(f330(f238(x73001),x73002),x73004))+P108(f330(f330(f238(x73001),f330(f330(f236(x73001),x73002),x73003)),x73004)) % 199.49/199.85 [7301]~P104(x73011)+~P108(f330(f330(f238(x73011),x73013),x73014))+P108(f330(f330(f238(x73011),f330(f330(f104(x73011),x73012),x73013)),x73014)) % 199.49/199.85 [7302]~P104(x73021)+~P108(f330(f330(f238(x73021),x73022),x73024))+P108(f330(f330(f238(x73021),f330(f330(f104(x73021),x73022),x73023)),x73024)) % 199.49/199.85 [7304]~P110(x73041)+~P108(f330(f330(f239(x73041),x73043),x73044))+P108(f330(f330(f239(x73041),f330(f330(f236(x73041),x73042),x73043)),x73044)) % 199.49/199.85 [7306]~P110(x73061)+~P108(f330(f330(f239(x73061),x73062),x73064))+P108(f330(f330(f239(x73061),f330(f330(f236(x73061),x73062),x73063)),x73064)) % 199.49/199.85 [7307]~P104(x73071)+~P108(f330(f330(f239(x73071),x73073),x73074))+P108(f330(f330(f239(x73071),f330(f330(f104(x73071),x73072),x73073)),x73074)) % 199.49/199.85 [7308]~P104(x73081)+~P108(f330(f330(f239(x73081),x73082),x73084))+P108(f330(f330(f239(x73081),f330(f330(f104(x73081),x73082),x73083)),x73084)) % 199.49/199.85 [7331]~P108(f330(x73313,x73314))+~P108(f330(x73312,x73314))+P108(f330(f330(f330(f104(f935(x73311,a923)),x73312),x73313),x73314)) % 199.49/199.85 [7457]P24(x74571,x74572,x74573)+~P24(x74571,x74574,x74573)+~P108(f330(f330(f238(f935(f927(x74571),a923)),x74574),x74572)) % 199.49/199.85 [7458]P24(x74581,x74582,x74583)+~P24(x74581,x74582,x74584)+~P108(f330(f330(f238(f935(f927(x74581),a923)),x74583),x74584)) % 199.49/199.85 [7822]~P76(x78221)+E(f330(f330(f82(x78221),f330(x78222,x78223)),f330(f330(f6(a928,x78221),x78222),f330(f305(a928,f330(a115,x78223)),x78224))),f330(f330(f6(a928,x78221),x78222),f330(f305(a928,x78223),x78224)))+~P108(f330(f330(f239(a928),x78223),x78224)) % 199.49/199.85 [7840]E(x78401,x78402)+P108(f330(f330(f175(x78403),x78404),x78402))+~P108(f330(f330(f175(x78403),f330(f330(f154(x78403),x78401),x78404)),x78402)) % 199.49/199.85 [7852]~P110(x78521)+P108(f330(f330(f238(x78521),x78522),x78523))+~P108(f330(f330(f238(x78521),f330(f330(f237(x78521),x78524),x78522)),x78523)) % 199.49/199.85 [7854]~P110(x78541)+P108(f330(f330(f238(x78541),x78542),x78543))+~P108(f330(f330(f238(x78541),f330(f330(f237(x78541),x78542),x78544)),x78543)) % 199.49/199.85 [7856]~P105(x78561)+P108(f330(f330(f238(x78561),x78562),x78563))+~P108(f330(f330(f238(x78561),f330(f330(f113(x78561),x78564),x78562)),x78563)) % 199.49/199.85 [7858]~P105(x78581)+P108(f330(f330(f238(x78581),x78582),x78583))+~P108(f330(f330(f238(x78581),f330(f330(f113(x78581),x78582),x78584)),x78583)) % 199.49/199.85 [7859]~P110(x78591)+P108(f330(f330(f239(x78591),x78592),x78593))+~P108(f330(f330(f239(x78591),f330(f330(f237(x78591),x78594),x78592)),x78593)) % 199.49/199.85 [7860]~P110(x78601)+P108(f330(f330(f239(x78601),x78602),x78603))+~P108(f330(f330(f239(x78601),f330(f330(f237(x78601),x78602),x78604)),x78603)) % 199.49/199.85 [7861]~P114(x78611)+P108(f330(f330(f290(x78611),x78612),x78613))+~P108(f330(f330(f290(x78611),f330(f330(f83(x78611),x78614),x78612)),x78613)) % 199.49/199.85 [7862]~P114(x78621)+P108(f330(f330(f290(x78621),x78622),x78623))+~P108(f330(f330(f290(x78621),f330(f330(f83(x78621),x78622),x78624)),x78623)) % 199.49/199.85 [7937]~P108(f330(f330(f332(x79371),x79372),x79374))+P108(f330(f330(f332(x79371),x79372),x79373))+P108(f330(f330(f332(x79371),x79372),f330(f330(f23(f935(x79371,a923)),x79374),x79373))) % 199.49/199.85 [8020]P108(f330(x80201,x80202))+P108(f330(x80203,x80202))+~P108(f330(f330(f330(f113(f935(x80204,a923)),x80203),x80201),x80202)) % 199.49/199.85 [8031]~P108(f330(f330(f332(x80311),x80312),x80314))+~P108(f330(f330(f332(x80311),x80312),x80313))+P108(f330(f330(f332(x80311),x80312),f330(f330(f104(f935(x80311,a923)),x80313),x80314))) % 199.49/199.85 [8078]~P110(x80781)+~P108(f330(f62(x80781),x80784))+E(f330(f330(f65(x80781,x80781,f236(x80781)),x80782),f330(f330(f312(x80781),x80783),x80784)),f330(f330(f236(x80781),x80783),f330(f330(f65(x80781,x80781,f236(x80781)),x80782),x80784))) % 199.49/199.85 [8079]~P110(x80791)+~P108(f330(f62(x80791),x80794))+E(f330(f330(f65(x80791,x80791,f237(x80791)),x80792),f330(f330(f312(x80791),x80793),x80794)),f330(f330(f237(x80791),x80793),f330(f330(f65(x80791,x80791,f237(x80791)),x80792),x80794))) % 199.49/199.85 [8080]~P104(x80801)+~P108(f330(f62(x80801),x80804))+E(f330(f330(f65(x80801,x80801,f104(x80801)),x80802),f330(f330(f312(x80801),x80803),x80804)),f330(f330(f104(x80801),x80803),f330(f330(f65(x80801,x80801,f104(x80801)),x80802),x80804))) % 199.49/199.85 [8081]~P105(x80811)+~P108(f330(f62(x80811),x80814))+E(f330(f330(f65(x80811,x80811,f113(x80811)),x80812),f330(f330(f312(x80811),x80813),x80814)),f330(f330(f113(x80811),x80813),f330(f330(f65(x80811,x80811,f113(x80811)),x80812),x80814))) % 199.49/199.85 [8083]~P132(x80831)+~P94(x80831)+E(f330(f330(f23(x80831),f330(f330(f83(x80831),f330(f106(x80831),x80832)),x80833)),f330(f330(f83(x80831),f330(f106(x80831),x80832)),x80834)),f330(f330(f83(x80831),f330(f106(x80831),x80832)),f330(f330(f23(x80831),x80833),x80834))) % 199.49/199.85 [8084]~P131(x80841)+~P94(x80841)+E(f330(f330(f82(x80841),f330(f330(f83(x80841),f330(f106(x80841),x80842)),x80843)),f330(f330(f83(x80841),f330(f106(x80841),x80842)),x80844)),f330(f330(f83(x80841),f330(f106(x80841),x80842)),f330(f330(f82(x80841),x80843),x80844))) % 199.49/199.85 [8199]E(x81991,x81992)+P108(f330(f330(f332(x81993),x81991),f330(f175(x81993),x81994)))+~P108(f330(f330(f332(x81993),x81991),f330(f175(x81993),f330(f330(f154(x81993),x81992),x81994)))) % 199.49/199.85 [8370]P57(x83701,x83702,x83703)+~P57(x83701,x83702,x83704)+~P108(f330(f330(f238(f935(f934(x83701,x83702),a923)),x83703),x83704)) % 199.49/199.85 [8416]P108(f330(f330(f332(x84161),x84162),x84163))+P108(f330(f330(f332(x84161),x84162),x84164))+~P108(f330(f330(f332(x84161),x84162),f330(f330(f113(f935(x84161,a923)),x84164),x84163))) % 199.49/199.85 [8426]~P55(x84261,x84264,x84263)+~P108(f330(f330(f332(x84261),x84262),x84264))+P108(f330(f330(f332(f934(x84261,x84261)),f330(f330(f255(x84261,x84261),x84262),x84262)),x84263)) % 199.49/199.85 [8438]~P108(f330(f62(x84382),x84384))+~P108(f330(f62(x84381),x84383))+P108(f330(f62(f934(x84381,x84382)),f330(f330(f257(x84381,x84382),x84383),f330(f16(f935(x84382,a923),x84381),x84384)))) % 199.49/199.85 [8439]~P108(f330(f330(f332(x84391),x84392),x84394))+~P108(f330(f330(f238(f935(x84391,a923)),x84393),x84394))+P108(f330(f330(f238(f935(x84391,a923)),f330(f330(f312(x84391),x84392),x84393)),x84394)) % 199.49/199.85 [8446]~P72(x84462)+~P148(x84462)+E(f330(f330(f9(x84461,x84462),f330(f330(f8(a928,x84462,x84461),f103(x84462)),x84463)),x84464),f330(f103(x84462),f330(f330(f9(x84461,a928),x84463),x84464))) % 199.49/199.85 [8447]~P72(x84472)+~P145(x84472)+E(f330(f330(f9(x84471,x84472),f330(f330(f8(a1,x84472,x84471),f105(x84472)),x84473)),x84474),f330(f105(x84472),f330(f330(f9(x84471,a1),x84473),x84474))) % 199.49/199.85 [8471]E(f330(f330(f23(f935(x84711,a923)),x84712),f330(f330(f23(f935(x84711,a923)),x84713),x84714)),x84714)+~P108(f330(f330(f238(f935(x84711,a923)),x84712),x84713))+~P108(f330(f330(f238(f935(x84711,a923)),x84714),x84712)) % 199.49/199.85 [8568]~P108(f330(f62(x85681),x85684))+E(f330(f330(f23(a928),f330(f330(f6(x85681,a928),x85682),x85683)),f330(f330(f6(x85681,a928),x85682),x85684)),f330(f330(f6(x85681,a928),x85682),f330(f330(f23(f935(x85681,a923)),x85683),x85684)))+~P108(f330(f330(f238(f935(x85681,a923)),x85684),x85683)) % 199.49/199.85 [8719]~P8(x87191,x87194,x87193)+~P108(f330(f330(f332(x87191),x87192),x87194))+P108(f330(f330(f332(x87191),x87192),f330(f288(x87191,x87191,x87193),f330(f330(f312(x87191),x87192),f191(f935(x87191,a923)))))) % 199.49/199.85 [8779]~P108(f330(f330(f238(f935(x87791,a923)),x87792),x87793))+~P108(f330(f330(f238(f935(x87791,a923)),x87792),x87794))+P108(f330(f330(f238(f935(x87791,a923)),x87792),f330(f330(f104(f935(x87791,a923)),x87793),x87794))) % 199.49/199.85 [8881]E(x88811,f191(f935(x88812,a923)))+P108(f330(f62(x88813),x88814))+~P108(f330(f62(f934(x88813,x88812)),f330(f330(f257(x88813,x88812),x88814),f330(f16(f935(x88812,a923),x88813),x88811)))) % 199.49/199.85 [8882]E(x88821,f191(f935(x88822,a923)))+P108(f330(f62(x88823),x88824))+~P108(f330(f62(f934(x88822,x88823)),f330(f330(f257(x88822,x88823),x88821),f330(f16(f935(x88823,a923),x88822),x88824)))) % 199.49/199.85 [8955]P108(f330(f330(f332(x89551),x89552),f319(x89551,x89553)))+~P108(f330(f330(f332(x89551),x89554),f319(x89551,x89553)))+~P108(f330(f330(f332(f934(x89551,x89551)),f330(f330(f255(x89551,x89551),x89552),x89554)),x89553)) % 199.49/199.85 [9012]~P39(x90121,x90124)+P108(f330(f330(f332(f934(x90121,x90121)),f330(f330(f255(x90121,x90121),x90123),x90122)),f310(x90121,x90124)))+P39(x90121,f330(f330(f312(f934(x90121,x90121)),f330(f330(f255(x90121,x90121),x90122),x90123)),x90124)) % 199.49/199.85 [9013]~P60(x90131,x90134)+P108(f330(f330(f332(f934(x90131,x90131)),f330(f330(f255(x90131,x90131),x90133),x90132)),f310(x90131,x90134)))+P60(x90131,f330(f330(f312(f934(x90131,x90131)),f330(f330(f255(x90131,x90131),x90132),x90133)),x90134)) % 199.49/199.85 [9095]~E(x90952,x90953)+~P108(f330(f330(f332(x90951),x90952),f330(f175(x90951),x90954)))+P108(f330(f330(f332(f934(x90951,x90951)),f330(f330(f255(x90951,x90951),x90952),x90953)),f330(f175(f934(x90951,x90951)),f330(f330(f184(x90951,x90951),x90954),x90954)))) % 199.49/199.85 [9186]~E(x91863,x91864)+P108(f330(f330(f260(x91861,x91861,a923),a327),x91862))+~P108(f330(f330(f332(f934(x91861,x91861)),x91862),f330(f175(f934(x91861,x91861)),f330(f330(f184(x91861,x91861),x91863),x91864)))) % 199.49/199.85 [9232]P108(f330(f330(f332(f934(f929(x92321),f929(x92321))),f330(f330(f255(f929(x92321),f929(x92321)),x92322),x92323)),f150(x92321,x92324)))+~E(f330(f330(f178(x92321),f330(f192(f929(x92321)),x92322)),x92323),x92322)+~P108(f330(f330(f239(a928),f330(f192(f929(x92321)),x92322)),f330(f192(f929(x92321)),x92323))) % 199.49/199.85 [9235]~P54(x92351,x92354)+~P108(f330(f330(f332(f934(x92351,x92351)),f330(f330(f255(x92351,x92351),x92353),x92352)),x92354))+P108(f330(f330(f332(f934(x92351,x92351)),f330(f330(f255(x92351,x92351),x92352),x92353)),x92354)) % 199.49/199.85 [9326]~P108(f330(f62(x93261),x93264))+P108(f330(f330(f332(x93261),f898(x93262,x93263,x93264,x93261)),x93264))+P108(f330(f62(x93263),f330(f330(f40(x93261,f935(x93263,a923)),x93264),x93262))) % 199.49/199.85 [9327]~P108(f330(f62(x93271),x93274))+P108(f330(f330(f332(x93271),f908(x93272,x93273,x93274,x93271)),x93274))+P108(f330(f62(x93273),f330(f330(f40(x93271,f935(x93273,a923)),x93274),x93272))) % 199.49/199.85 [9413]P108(f330(f330(f332(f934(x94131,x94131)),x94132),f330(f330(f292(x94131,x94131,x94131),x94133),f310(x94131,x94133))))+~P108(f330(f330(f239(a928),f2(a928)),x94134))+~P108(f330(f330(f332(f934(x94131,x94131)),x94132),f330(f330(f186(f934(x94131,x94131),a923),x94134),x94133))) % 199.49/199.85 [9421]~P39(x94211,x94212)+~P108(f330(f330(f332(f934(x94211,x94211)),f330(f330(f255(x94211,x94211),x94214),x94213)),x94212))+~P108(f330(f330(f332(f934(x94211,x94211)),f330(f330(f255(x94211,x94211),x94213),x94214)),x94212)) % 199.49/199.85 [9545]~P108(f330(f62(x95451),x95454))+E(f330(f330(f6(x95451,a928),f330(f330(f8(f935(x95452,a923),a928,x95451),f36(x95452)),x95453)),x95454),f330(f36(f934(x95451,x95452)),f330(f330(f257(x95451,x95452),x95454),x95453)))+P108(f330(f330(f332(x95451),f554(x95453,x95452,x95454,x95451)),x95454)) % 199.49/199.85 [9549]~P108(f330(f140(x95491),x95492))+P108(f330(f140(x95491),f330(f330(f162(x95491,x95492),x95493),x95494)))+P108(f330(f330(f332(x95491),x95494),f330(f330(f23(f935(x95491,a923)),f330(f175(x95491),x95492)),f330(f330(f312(x95491),f330(f330(f167(x95491),x95492),x95493)),f191(f935(x95491,a923)))))) % 199.49/199.85 [9566]~P108(f330(f62(x95662),x95663))+~P108(f330(f62(x95661),f330(x95664,f898(x95664,x95661,x95663,x95662))))+P108(f330(f62(x95661),f330(f330(f40(x95662,f935(x95661,a923)),x95663),x95664))) % 199.49/199.85 [9567]~P108(f330(f62(x95672),x95673))+~P108(f330(f62(x95671),f330(x95674,f908(x95674,x95671,x95673,x95672))))+P108(f330(f62(x95671),f330(f330(f40(x95672,f935(x95671,a923)),x95673),x95674))) % 199.49/199.85 [9645]~P108(f330(f330(f332(f934(x96451,x96451)),x96452),f330(f330(f292(x96451,x96451,x96451),x96454),f310(x96451,x96454))))+P108(f330(f330(f332(f934(x96451,x96451)),x96452),f330(f330(f292(x96451,x96451,x96451),x96453),f310(x96451,x96453))))+~P108(f330(f330(f238(f935(f934(x96451,x96451),a923)),x96454),x96453)) % 199.49/199.85 [9655]E(f330(f330(f178(x96551),f672(x96554,x96553,x96552,x96551)),x96553),f330(f330(f178(x96551),f672(x96554,x96553,x96552,x96551)),x96552))+~P108(f330(f330(f332(f934(f929(x96551),f929(x96551))),f330(f330(f255(f929(x96551),f929(x96551)),x96552),x96553)),f150(x96551,x96554)))+E(f330(f330(f178(x96551),f330(f192(f929(x96551)),x96552)),x96553),x96552) % 199.49/199.85 [9671]~P108(f330(f62(x96711),x96714))+E(f330(f330(f6(x96711,a928),f330(f330(f8(f935(x96712,a923),a928,x96711),f36(x96712)),x96713)),x96714),f330(f36(f934(x96711,x96712)),f330(f330(f257(x96711,x96712),x96714),x96713)))+~P108(f330(f62(x96712),f330(x96713,f554(x96713,x96712,x96714,x96711)))) % 199.49/199.85 [9675]~E(f330(f192(f929(x96751)),x96753),f330(f192(f929(x96751)),x96752))+P108(f330(f330(f332(f934(f929(x96751),f929(x96751))),f330(f330(f255(f929(x96751),f929(x96751)),x96752),x96753)),f161(x96751,x96754)))+P108(f330(f330(f332(f934(x96751,x96751)),f675(x96754,x96753,x96752,x96751)),f330(f175(f934(x96751,x96751)),f330(f330(f184(x96751,x96751),x96752),x96753)))) % 199.49/199.85 [9756]~P108(f330(f330(f332(f934(f929(x97561),f929(x97561))),f330(f330(f255(f929(x97561),f929(x97561)),x97562),x97563)),f150(x97561,x97564)))+E(f330(f330(f178(x97561),f330(f192(f929(x97561)),x97562)),x97563),x97562)+P108(f330(f330(f239(a928),f672(x97564,x97563,x97562,x97561)),f330(f330(f236(a928),f330(f192(f929(x97561)),x97562)),f330(f192(f929(x97561)),x97563)))) % 199.49/199.85 [9780]~P108(f330(f330(f332(f934(f929(x97801),f929(x97801))),f330(f330(f255(f929(x97801),f929(x97801)),x97802),x97803)),f150(x97801,x97804)))+P108(f330(f330(f239(a928),f330(f192(f929(x97801)),x97802)),f330(f192(f929(x97801)),x97803)))+P108(f330(f330(f239(a928),f672(x97804,x97803,x97802,x97801)),f330(f330(f236(a928),f330(f192(f929(x97801)),x97802)),f330(f192(f929(x97801)),x97803)))) % 199.49/199.85 [10183]~P108(f330(f330(f332(f934(f929(x101831),f929(x101831))),f330(f330(f255(f929(x101831),f929(x101831)),x101832),x101833)),f150(x101831,x101834)))+E(f330(f330(f178(x101831),f330(f192(f929(x101831)),x101832)),x101833),x101832)+P108(f330(f330(f332(f934(x101831,x101831)),f330(f330(f255(x101831,x101831),f330(f330(f167(x101831),x101832),f672(x101834,x101833,x101832,x101831))),f330(f330(f167(x101831),x101833),f672(x101834,x101833,x101832,x101831)))),x101834)) % 199.49/199.85 [10184]~P108(f330(f330(f332(f934(f929(x101841),f929(x101841))),f330(f330(f255(f929(x101841),f929(x101841)),x101842),x101843)),f150(x101841,x101844)))+P108(f330(f330(f239(a928),f330(f192(f929(x101841)),x101842)),f330(f192(f929(x101841)),x101843)))+P108(f330(f330(f332(f934(x101841,x101841)),f330(f330(f255(x101841,x101841),f330(f330(f167(x101841),x101842),f672(x101844,x101843,x101842,x101841))),f330(f330(f167(x101841),x101843),f672(x101844,x101843,x101842,x101841)))),x101844)) % 199.49/199.85 [10243]~E(f330(f192(f929(x102431)),x102432),f330(f192(f929(x102431)),x102433))+P108(f330(f330(f332(f934(f929(x102431),f929(x102431))),f330(f330(f255(f929(x102431),f929(x102431)),x102432),x102433)),f161(x102431,x102434)))+~P108(f330(f330(f332(f934(x102431,x102431)),f330(f330(f255(x102431,x102431),f330(f330(f167(x102431),x102432),f660(x102434,x102433,x102432,x102431))),f330(f330(f167(x102431),x102433),f660(x102434,x102433,x102432,x102431)))),x102434)) % 199.49/199.85 [10390]~P76(x103901)+~P108(f330(f62(x103902),x103904))+E(f330(f168(x103901),f330(f330(f157(x103902,x103901),x103903),f92(f929(x103902),f330(f330(f18(f929(x103902),a923,a923),f330(f330(f8(a923,f935(a923,a923),f929(x103902)),a328),f330(f330(f7(f929(x103902),f935(x103902,a923),a923),f330(f330(f8(f935(x103902,a923),f935(f935(x103902,a923),a923),f929(x103902)),a327),f175(x103902))),x103904))),f140(x103902))))),f235(x103902,x103901,x103903,x103904)) % 199.49/199.85 [7671]~P66(x76712)+E(x76711,f2(x76712))+E(f330(f330(f294(x76712),f330(f330(f82(x76712),x76713),f330(f330(f83(x76712),x76714),x76711))),x76711),f330(f330(f82(x76712),x76714),f330(f330(f294(x76712),x76713),x76711))) % 199.49/199.85 [7672]~P63(x76722)+E(x76721,f2(x76722))+E(f330(f330(f37(x76722),f330(f330(f82(x76722),x76723),f330(f330(f83(x76722),x76724),x76721))),x76721),f330(f330(f82(x76722),x76724),f330(f330(f37(x76722),x76723),x76721))) % 199.49/199.85 [7673]~P63(x76732)+E(x76731,f2(x76732))+E(f330(f330(f37(x76732),f330(f330(f82(x76732),x76733),f330(f330(f83(x76732),x76731),x76734))),x76731),f330(f330(f82(x76732),x76734),f330(f330(f37(x76732),x76733),x76731))) % 199.49/199.85 [7901]~P67(x79012)+E(x79011,f2(x79012))+E(f330(f330(f294(x79012),f330(f330(f23(x79012),x79013),f330(f330(f83(x79012),x79011),x79014))),x79011),f330(f330(f23(x79012),f330(f330(f294(x79012),x79013),x79011)),x79014)) % 199.49/199.85 [7902]~P66(x79022)+E(x79021,f2(x79022))+E(f330(f330(f294(x79022),f330(f330(f82(x79022),x79023),f330(f330(f83(x79022),x79024),x79021))),x79021),f330(f330(f82(x79022),f330(f330(f294(x79022),x79023),x79021)),x79024)) % 199.49/199.85 [7903]~P67(x79032)+E(x79031,f2(x79032))+E(f330(f330(f294(x79032),f330(f330(f82(x79032),x79033),f330(f330(f83(x79032),x79031),x79034))),x79031),f330(f330(f82(x79032),f330(f330(f294(x79032),x79033),x79031)),x79034)) % 199.49/199.85 [8599]~P108(f330(f163(x85991,x85993),x85994))+~P108(f330(f163(x85991,x85992),x85994))+P108(f330(f163(x85991,f330(f330(f104(f935(x85991,a923)),x85992),x85993)),x85994)) % 199.49/199.85 [8970]~E(f330(f330(f292(x89701,x89701,x89701),x89702),x89704),f191(f935(f934(x89701,x89701),a923)))+~E(f330(f330(f292(x89701,x89701,x89701),x89702),x89703),f191(f935(f934(x89701,x89701),a923)))+E(f330(f330(f292(x89701,x89701,x89701),x89702),f330(f330(f113(f935(f934(x89701,x89701),a923)),x89703),x89704)),f191(f935(f934(x89701,x89701),a923))) % 199.49/199.85 [9096]~P108(f330(f330(f238(f935(x90961,a923)),x90963),x90964))+~P108(f330(f330(f238(f935(x90961,a923)),x90962),x90964))+P108(f330(f330(f238(f935(x90961,a923)),f330(f330(f113(f935(x90961,a923)),x90962),x90963)),x90964)) % 199.49/199.85 [9475]~P108(f330(f62(x94751),x94754))+~P108(f330(f62(x94751),x94753))+E(f330(f330(f23(a928),f330(f330(f82(a928),f330(f330(f6(x94751,a928),x94752),x94753)),f330(f330(f6(x94751,a928),x94752),x94754))),f330(f330(f6(x94751,a928),x94752),f330(f330(f104(f935(x94751,a923)),x94753),x94754))),f330(f330(f6(x94751,a928),x94752),f330(f330(f113(f935(x94751,a923)),x94753),x94754))) % 199.49/199.85 [9563]~P108(f330(f330(f332(x95631),x95633),x95632))+~P108(f330(f330(f238(f935(x95631,a923)),x95632),f330(f330(f312(x95631),x95633),x95634)))+P108(f330(f330(f238(f935(x95631,a923)),f330(f330(f23(f935(x95631,a923)),x95632),f330(f330(f312(x95631),x95633),f191(f935(x95631,a923))))),x95634)) % 199.49/199.85 [9731]~P108(f330(f330(f332(x97311),x97313),x97312))+P108(f330(f330(f238(f935(x97311,a923)),x97312),f330(f330(f312(x97311),x97313),x97314)))+~P108(f330(f330(f238(f935(x97311,a923)),f330(f330(f23(f935(x97311,a923)),x97312),f330(f330(f312(x97311),x97313),f191(f935(x97311,a923))))),x97314)) % 199.49/199.85 [9820]~P108(f330(f330(f238(a928),x98201),x98203))+~P108(f330(f330(f239(a928),x98202),x98204))+P108(f330(f330(f332(f934(f934(a928,a928),f934(a928,a928))),f330(f330(f255(f934(a928,a928),f934(a928,a928)),f330(f330(f255(a928,a928),x98201),x98202)),f330(f330(f255(a928,a928),x98203),x98204))),a34)) % 199.49/199.85 [9821]~P108(f330(f330(f238(a928),x98212),x98214))+~P108(f330(f330(f238(a928),x98211),x98213))+P108(f330(f330(f332(f934(f934(a928,a928),f934(a928,a928))),f330(f330(f255(f934(a928,a928),f934(a928,a928)),f330(f330(f255(a928,a928),x98211),x98212)),f330(f330(f255(a928,a928),x98213),x98214))),a72)) % 199.49/199.85 [10113]~P108(f330(f330(f332(f929(x101131)),x101134),f164(x101131,x101133)))+~P108(f330(f330(f332(f929(x101131)),x101134),f164(x101131,x101132)))+P108(f330(f163(x101131,f330(f330(f104(f935(x101131,a923)),f330(f330(f7(x101131,f935(x101131,a923),a923),f332(x101131)),x101132)),f330(f330(f7(x101131,f935(x101131,a923),a923),f332(x101131)),x101133))),x101134)) % 199.49/199.85 [10209]~P25(x102091,f935(f935(x102091,a923),a923),f330(f330(f7(x102091,f935(f934(x102091,x102091),a923),f935(f935(x102091,a923),a923)),f330(f330(f8(f935(x102091,a923),f935(f935(f934(x102091,x102091),a923),f935(f935(x102091,a923),a923)),x102091),f61(x102091)),f330(f330(f7(x102091,f935(x102091,a923),f935(x102091,a923)),f312(x102091)),f191(f935(x102091,a923))))),x102093),x102092)+~P108(f330(f330(f332(x102091),x102094),x102092))+E(f330(f330(f23(f935(f935(x102091,a923),a923)),f330(f330(f61(x102091),x102092),x102093)),f330(f330(f61(x102091),f330(f330(f312(x102091),x102094),f191(f935(x102091,a923)))),x102093)),f330(f330(f61(x102091),f330(f330(f23(f935(x102091,a923)),x102092),f330(f330(f312(x102091),x102094),f191(f935(x102091,a923))))),x102093)) % 199.49/199.85 [10343]~P55(x103431,x103432,x103434)+~P108(f330(f330(f332(f934(x103431,x103431)),x103433),x103434))+P108(f330(f330(f260(x103431,x103431,a923),f330(f330(f7(x103431,f935(x103431,a923),f935(x103431,a923)),f330(f330(f8(f935(a923,a923),f935(f935(x103431,a923),f935(x103431,a923)),x103431),f8(a923,a923,x103431)),f330(f330(f8(a923,f935(a923,a923),x103431),a328),f330(f330(f7(x103431,f935(x103431,a923),a923),f332(x103431)),x103432)))),f330(f330(f7(x103431,f935(x103431,a923),a923),f332(x103431)),x103432))),x103433)) % 199.49/199.85 [10358]P108(f330(f62(x103581),x103582))+~P108(f330(f62(x103583),f330(f313(x103581,x103583,x103584),x103582)))+~P108(f330(f62(x103581),f330(f265(x103581),f330(f330(f18(x103581,a923,a923),f330(f330(f8(a923,f935(a923,a923),x103581),a328),f330(f330(f7(x103581,f935(x103581,a923),a923),f332(x103581)),x103582))),f330(f330(f7(x103581,x103583,a923),f330(f330(f8(x103583,f935(x103583,a923),x103581),a327),x103584)),f330(x103584,f784(x103584,x103583,x103582,x103581))))))) % 199.49/199.85 [8353]~P67(x83532)+E(x83531,f2(x83532))+E(f330(f330(f294(x83532),f330(f330(f23(x83532),f330(f330(f83(x83532),x83531),x83533)),x83534)),x83531),f330(f330(f23(x83532),x83533),f330(f330(f294(x83532),x83534),x83531))) % 199.49/199.85 [8354]~P67(x83542)+E(x83541,f2(x83542))+E(f330(f330(f294(x83542),f330(f330(f82(x83542),f330(f330(f83(x83542),x83541),x83543)),x83544)),x83541),f330(f330(f82(x83542),x83543),f330(f330(f294(x83542),x83544),x83541))) % 199.49/199.85 [9261]~E(f330(f330(f292(x92611,x92611,x92611),x92613),x92614),f191(f935(f934(x92611,x92611),a923)))+~E(f330(f330(f292(x92611,x92611,x92611),x92612),x92614),f191(f935(f934(x92611,x92611),a923)))+E(f330(f330(f292(x92611,x92611,x92611),f330(f330(f113(f935(f934(x92611,x92611),a923)),x92612),x92613)),x92614),f191(f935(f934(x92611,x92611),a923))) % 199.49/199.85 [10029]~P108(f330(f163(x100291,x100293),x100294))+~P108(f330(f163(x100291,x100292),x100294))+P108(f330(f163(x100291,f330(f330(f18(x100291,a923,a923),f330(f330(f8(a923,f935(a923,a923),x100291),a328),x100292)),x100293)),x100294)) % 199.49/199.85 [10279]P108(f330(x102791,f366(x102792,x102793,x102791,x102794)))+~P108(f330(f62(x102794),f330(f265(x102794),x102791)))+P108(f330(f62(x102793),f330(f265(x102793),f330(f330(f8(f935(x102794,a923),a923,x102793),f89(x102794)),f330(f330(f8(f935(x102794,a923),f935(x102794,a923),x102793),f330(f18(x102794,a923,a923),f330(f330(f8(a923,f935(a923,a923),x102794),a328),x102791))),x102792))))) % 199.49/199.85 [10297]~P108(f330(f62(x102972),f330(f265(x102972),x102973)))+~P108(f330(f62(x102971),f330(f265(x102971),f330(f330(f7(x102971,x102972,a923),x102974),f366(x102974,x102971,x102973,x102972)))))+P108(f330(f62(x102971),f330(f265(x102971),f330(f330(f8(f935(x102972,a923),a923,x102971),f89(x102972)),f330(f330(f8(f935(x102972,a923),f935(x102972,a923),x102971),f330(f18(x102972,a923,a923),f330(f330(f8(a923,f935(a923,a923),x102972),a328),x102973))),x102974))))) % 199.49/199.85 [10369]~P108(f330(f62(x103691),x103694))+P108(f330(f330(f332(x103691),f805(x103692,x103693,x103694,x103691)),x103694))+P108(f330(f62(x103693),f330(f265(x103693),f330(f330(f8(f935(x103691,a923),a923,x103693),f89(x103691)),f330(f330(f8(f935(x103691,a923),f935(x103691,a923),x103693),f330(f18(x103691,a923,a923),f330(f330(f8(a923,f935(a923,a923),x103691),a328),f330(f330(f7(x103691,f935(x103691,a923),a923),f332(x103691)),x103694)))),x103692))))) % 199.49/199.85 [10375]~P108(f330(f62(x103752),x103753))+~P108(f330(f62(x103751),f330(f265(x103751),f330(f330(f7(x103751,x103752,a923),x103754),f805(x103754,x103751,x103753,x103752)))))+P108(f330(f62(x103751),f330(f265(x103751),f330(f330(f8(f935(x103752,a923),a923,x103751),f89(x103752)),f330(f330(f8(f935(x103752,a923),f935(x103752,a923),x103751),f330(f18(x103752,a923,a923),f330(f330(f8(a923,f935(a923,a923),x103752),a328),f330(f330(f7(x103752,f935(x103752,a923),a923),f332(x103752)),x103753)))),x103754))))) % 199.49/199.85 [5293]~E(x52932,x52934)+E(f172(x52931,x52932,x52933),f172(x52931,x52934,x52935))+~E(x52932,f2(a928)) % 199.49/199.85 [5546]E(x55461,x55462)+~E(f172(x55464,x55463,x55461),f172(x55464,x55465,x55462))+E(x55463,f2(a928)) % 199.49/199.85 [6810]E(x68101,x68102)+~E(f330(x68103,x68101),f330(x68103,x68102))+~P25(x68104,x68105,x68103,f245(f935(x68104,a923))) % 199.49/199.85 [7703]E(x77031,x77032)+~P25(x77033,x77034,x77035,f245(f935(x77033,a923)))+~E(f330(f313(x77033,x77034,x77035),x77031),f330(f313(x77033,x77034,x77035),x77032)) % 199.49/199.85 [7954]P25(x79542,x79543,f480(x79544,x79543,x79542,x79541),x79541)+~E(f330(f313(x79543,x79542,x79545),x79544),x79541)+E(x79541,f191(f935(x79542,a923))) % 199.49/199.85 [8482]~P108(f330(f330(x84823,x84822),x84825))+~P108(f330(f330(x84823,x84824),x84822))+P108(f330(f330(f332(x84821),x84822),f302(x84821,x84823,x84824,x84825))) % 199.49/199.85 [8483]~P108(f330(f330(x84833,x84832),x84835))+~P108(f330(f330(x84833,x84834),x84832))+P108(f330(f330(f332(x84831),x84832),f293(x84831,x84833,x84834,x84835))) % 199.49/199.85 [8787]~P25(x87871,x87872,x87873,x87874)+P26(x87871,x87872,x87873,x87874,x87875)+~E(f330(f313(x87871,x87872,x87873),x87874),x87875) % 199.49/199.85 [8920]~P26(x89201,x89203,x89204,x89202,x89205)+~P108(f330(f62(x89203),x89205))+P108(f330(f62(x89201),x89202)) % 199.49/199.85 [8921]~P26(x89213,x89211,x89214,x89215,x89212)+~P108(f330(f62(x89213),x89215))+P108(f330(f62(x89211),x89212)) % 199.49/199.85 [9053]~P25(x90531,x90533,x90535,f245(f935(x90531,a923)))+~P25(x90533,x90532,x90534,f245(f935(x90533,a923)))+P25(x90531,x90532,f330(f74(x90533,x90532,x90531,x90534),x90535),f245(f935(x90531,a923))) % 199.49/199.85 [9622]P108(f330(f330(f332(f934(x96221,x96221)),f330(f330(f255(x96221,x96221),x96222),x96223)),f310(x96221,x96224)))+~P108(f330(f330(f332(f934(x96221,x96221)),f330(f330(f255(x96221,x96221),x96222),x96225)),f310(x96221,x96224)))+~P108(f330(f330(f332(f934(x96221,x96221)),f330(f330(f255(x96221,x96221),x96225),x96223)),f310(x96221,x96224))) % 199.49/199.85 [9662]~P110(x96622)+~P108(f330(f140(x96621),x96625))+P108(f330(f140(x96621),f152(x96621,x96622,x96623,x96624,x96625))) % 199.49/199.85 [5620]~E(x56202,f116(x56201))+E(f330(f330(f137(x56201),x56202),x56203),f330(f330(f154(x56201),x56204),x56205))+~E(x56203,f330(f330(f154(x56201),x56204),x56205)) % 199.49/199.85 [5621]~E(x56212,f116(x56211))+E(f330(f330(f137(x56211),x56212),x56213),f330(f330(f154(x56211),x56214),x56215))+~E(f330(f330(f154(x56211),x56214),x56215),x56213) % 199.49/199.85 [6767]~E(f330(f192(f929(x67671)),x67675),f330(f192(f929(x67672)),x67674))+E(f330(f330(f157(f934(x67671,x67672),x67672),f259(x67671,x67672)),x67673),x67674)+~E(f330(f330(f184(x67671,x67672),x67675),x67674),x67673) % 199.49/199.85 [6768]~E(f330(f192(f929(x67681)),x67684),f330(f192(f929(x67682)),x67685))+E(f330(f330(f157(f934(x67681,x67682),x67681),f254(x67681,x67682)),x67683),x67684)+~E(f330(f330(f184(x67681,x67682),x67684),x67685),x67683) % 199.49/199.85 [7241]~P110(x72411)+~P13(x72411,f330(f330(f157(x72412,x72411),x72413),x72415))+P13(x72411,f330(f330(f157(x72412,x72411),x72413),f330(f139(x72412,x72414),x72415))) % 199.49/199.85 [7284]~P108(f330(x72843,x72845))+~P108(f330(f330(x72842,x72844),x72845))+P108(f330(f330(f95(x72841,x72842,x72843),x72844),x72845)) % 199.49/199.85 [7384]~P110(x73841)+P13(x73841,f330(f330(f157(x73842,x73841),x73843),f173(x73842,x73844,x73845)))+~P13(x73841,f330(f330(f157(x73842,x73841),x73843),x73845)) % 199.49/199.85 [7407]~P57(x74073,x74072,x74075)+~P57(x74071,x74073,x74074)+P57(x74071,x74072,f330(f330(f292(x74071,x74073,x74072),x74074),x74075)) % 199.49/199.85 [7504]E(x75041,x75042)+~P25(x75043,x75044,x75045,f245(f935(x75043,a923)))+~E(f330(f330(f157(x75043,x75044),x75045),x75041),f330(f330(f157(x75043,x75044),x75045),x75042)) % 199.49/199.85 [7657]~P108(f330(f330(f238(a928),x76571),f330(x76573,x76575)))+P108(f330(f330(f238(a928),x76571),f158(x76572,x76573,x76574)))+~P108(f330(f330(f332(x76572),x76575),f330(f175(x76572),x76574))) % 199.49/199.85 [7658]~P108(f330(f330(f239(a928),x76581),f330(x76583,x76585)))+P108(f330(f330(f239(a928),x76581),f158(x76582,x76583,x76584)))+~P108(f330(f330(f332(x76582),x76585),f330(f175(x76582),x76584))) % 199.49/199.85 [8050]P108(f330(x80501,x80502))+~P108(f330(x80501,x80503))+~P108(f330(f330(f332(x80504),x80502),f330(f175(x80504),f172(x80504,x80505,x80503)))) % 199.49/199.85 [8051]P108(f330(x80511,x80512))+~P108(f330(x80511,x80513))+~P108(f330(f330(f332(x80514),x80513),f330(f175(x80514),f172(x80514,x80515,x80512)))) % 199.49/199.85 [8055]~P112(x80551)+P108(f330(f330(f238(f935(x80551,a923)),f306(x80551,x80552,x80553)),f306(x80551,x80554,x80555)))+P108(f330(f330(f238(x80551),x80552),x80553)) % 199.49/199.85 [8076]~P5(x80761)+P108(f330(f330(f238(x80761),f330(f330(f41(x80762,x80761),x80763),x80764)),f330(x80764,x80765)))+~P108(f330(f330(f332(x80762),x80765),x80763)) % 199.49/199.85 [8145]~P25(x81451,x81452,x81454,x81453)+E(f330(f79(x81451,x81452,x81453,x81454),f330(x81454,x81455)),x81455)+~P108(f330(f330(f332(x81451),x81455),x81453)) % 199.49/199.85 [8146]~P25(x81461,x81462,x81464,x81463)+E(f330(f94(x81461,x81462,x81463,x81464),f330(x81464,x81465)),x81465)+~P108(f330(f330(f332(x81461),x81465),x81463)) % 199.49/199.85 [8342]~P108(f330(x83421,x83425))+P108(f330(x83421,f415(x83421,x83422,x83423,x83424)))+~P108(f330(f330(f332(x83424),x83425),x83423)) % 199.49/199.85 [8343]~P108(f330(x83431,x83435))+P108(f330(x83431,f415(x83431,x83432,x83433,x83434)))+~P108(f330(f330(f332(x83434),x83435),x83432)) % 199.49/199.85 [8436]P108(f330(f62(x84361),x84362))+~P108(f330(f62(x84363),x84364))+~P108(f330(f330(f238(f935(x84361,a923)),x84362),f330(f313(x84363,x84361,x84365),x84364))) % 199.49/199.85 [8603]E(x86031,x86032)+~P25(x86033,x86034,x86035,f330(f330(f113(f935(x86033,a923)),f330(f175(x86033),x86031)),f330(f175(x86033),x86032)))+~E(f330(f330(f157(x86033,x86034),x86035),x86031),f330(f330(f157(x86033,x86034),x86035),x86032)) % 199.49/199.85 [8657]~P112(x86571)+~P108(f330(f330(f239(f935(x86571,a923)),f306(x86571,x86574,x86575)),f306(x86571,x86572,x86573)))+P108(f330(f330(f238(x86571),x86572),x86573)) % 199.49/199.85 [8718]~P25(x87181,x87184,x87185,f245(f935(x87181,a923)))+~P108(f330(f330(f332(x87184),f330(x87185,x87182)),f330(f313(x87181,x87184,x87185),x87183)))+P108(f330(f330(f332(x87181),x87182),x87183)) % 199.49/199.85 [8793]P108(f330(x87931,x87932))+~P108(f330(x87931,f407(x87931,x87933,x87934,x87935)))+~P108(f330(f330(f332(x87935),x87932),x87934)) % 199.49/199.85 [8794]P108(f330(x87941,x87942))+~P108(f330(x87941,f407(x87941,x87943,x87944,x87945)))+~P108(f330(f330(f332(x87945),x87942),x87943)) % 199.49/199.85 [9093]~P25(x90932,x90933,x90931,x90934)+E(f330(x90931,f330(f79(x90932,x90933,x90934,x90931),x90935)),x90935)+~P108(f330(f330(f332(x90933),x90935),f330(f313(x90932,x90933,x90931),x90934))) % 199.49/199.85 [9201]E(x92011,f116(x92012))+E(f330(f330(f154(x92012),x92013),f689(x92014,x92013,x92015,x92011,x92012)),x92011)+~E(f330(f330(f137(x92012),x92011),x92015),f330(f330(f154(x92012),x92013),x92014)) % 199.49/199.85 [9202]E(x92021,f116(x92022))+E(f330(f330(f154(x92022),x92023),f690(x92024,x92021,x92025,x92023,x92022)),x92021)+~E(f330(f330(f137(x92022),x92021),x92024),f330(f330(f154(x92022),x92023),x92025)) % 199.49/199.85 [9220]E(f330(f330(f154(x92202),x92203),f689(x92204,x92203,x92201,x92205,x92202)),x92205)+~E(f330(f330(f137(x92202),x92205),x92201),f330(f330(f154(x92202),x92203),x92204))+E(x92201,f330(f330(f154(x92202),x92203),x92204)) % 199.49/199.85 [9221]E(f330(f330(f154(x92211),x92212),f690(x92214,x92215,x92213,x92212,x92211)),x92215)+~E(f330(f330(f137(x92211),x92215),x92214),f330(f330(f154(x92211),x92212),x92213))+E(f330(f330(f154(x92211),x92212),x92213),x92214) % 199.49/199.85 [9297]~E(f330(f313(x92973,x92972,x92974),f245(f935(x92973,a923))),f245(f935(x92972,a923)))+~E(f330(f313(x92971,x92973,x92975),f245(f935(x92971,a923))),f245(f935(x92973,a923)))+E(f330(f313(x92971,x92972,f330(f74(x92973,x92972,x92971,x92974),x92975)),f245(f935(x92971,a923))),f245(f935(x92972,a923))) % 199.49/199.85 [9668]E(x96681,f116(x96682))+~E(f330(f330(f137(x96682),x96681),x96683),f330(f330(f154(x96682),x96685),x96684))+E(f330(f330(f137(x96682),f690(x96683,x96681,x96684,x96685,x96682)),x96683),x96684) % 199.49/199.85 [9669]E(x96691,f116(x96692))+~E(f330(f330(f137(x96692),x96691),x96695),f330(f330(f154(x96692),x96694),x96693))+E(f330(f330(f137(x96692),f689(x96693,x96694,x96695,x96691,x96692)),x96695),x96693) % 199.49/199.85 [9676]E(f330(f330(f137(x96762),f689(x96764,x96763,x96761,x96765,x96762)),x96761),x96764)+~E(f330(f330(f137(x96762),x96765),x96761),f330(f330(f154(x96762),x96763),x96764))+E(x96761,f330(f330(f154(x96762),x96763),x96764)) % 199.49/199.85 [9677]~E(f330(f330(f137(x96771),x96775),x96774),f330(f330(f154(x96771),x96772),x96773))+E(f330(f330(f137(x96771),f690(x96774,x96775,x96773,x96772,x96771)),x96774),x96773)+E(f330(f330(f154(x96771),x96772),x96773),x96774) % 199.49/199.85 [9678]E(f330(f330(f137(x96781),x96785),f692(x96783,x96782,x96784,x96785,x96781)),x96782)+E(f330(f330(f137(x96781),x96782),f691(x96783,x96782,x96784,x96785,x96781)),x96785)+~E(f330(f330(f137(x96781),x96785),x96784),f330(f330(f137(x96781),x96782),x96783)) % 199.49/199.85 [9714]~P110(x97141)+P13(x97141,f330(f330(f157(x97142,x97141),x97143),f152(x97142,x97141,x97143,x97144,x97145)))+~P13(x97141,f330(f330(f157(x97142,x97141),x97143),x97145)) % 199.49/199.85 [9728]~P61(x97285,x97281,x97284,x97283)+P108(f330(f330(x97281,x97282),f522(x97283,x97284,x97281,x97285,x97282)))+~P108(f330(f330(f332(x97285),x97282),x97284)) % 199.49/199.85 [9729]~P61(x97295,x97291,x97294,x97293)+P108(f330(f330(x97291,x97292),f810(x97293,x97294,x97291,x97295,x97292)))+~P108(f330(f330(f332(x97295),x97292),x97294)) % 199.49/199.85 [9832]~P108(f330(f330(f332(f934(x98321,x98321)),f330(f330(f255(x98321,x98321),x98325),x98323)),f310(x98321,x98324)))+P108(f330(f330(f332(f934(x98321,x98321)),f330(f330(f255(x98321,x98321),x98322),x98323)),f330(f330(f292(x98321,x98321,x98321),x98324),f310(x98321,x98324))))+~P108(f330(f330(f332(f934(x98321,x98321)),f330(f330(f255(x98321,x98321),x98322),x98325)),f330(f330(f292(x98321,x98321,x98321),x98324),f310(x98321,x98324)))) % 199.49/199.85 [9833]~P108(f330(f330(f332(f934(x98331,x98331)),f330(f330(f255(x98331,x98331),x98332),x98335)),f310(x98331,x98334)))+P108(f330(f330(f332(f934(x98331,x98331)),f330(f330(f255(x98331,x98331),x98332),x98333)),f330(f330(f292(x98331,x98331,x98331),x98334),f310(x98331,x98334))))+~P108(f330(f330(f332(f934(x98331,x98331)),f330(f330(f255(x98331,x98331),x98335),x98333)),f330(f330(f292(x98331,x98331,x98331),x98334),f310(x98331,x98334)))) % 199.49/199.85 [9835]P108(f330(f330(f332(f934(f929(x98351),f929(x98351))),f330(f330(f255(f929(x98351),f929(x98351)),x98352),x98353)),f161(x98351,f310(x98351,x98354))))+~P108(f330(f330(f332(f934(f929(x98351),f929(x98351))),f330(f330(f255(f929(x98351),f929(x98351)),x98352),x98355)),f161(x98351,f310(x98351,x98354))))+~P108(f330(f330(f332(f934(f929(x98351),f929(x98351))),f330(f330(f255(f929(x98351),f929(x98351)),x98355),x98353)),f161(x98351,f310(x98351,x98354)))) % 199.49/199.85 [9839]E(f330(f330(f137(x98391),x98392),f691(x98393,x98392,x98394,x98395,x98391)),x98395)+E(f330(f330(f137(x98391),f692(x98393,x98392,x98394,x98395,x98391)),x98393),x98394)+~E(f330(f330(f137(x98391),x98392),x98393),f330(f330(f137(x98391),x98395),x98394)) % 199.49/199.85 [9840]E(f330(f330(f137(x98401),x98402),f692(x98403,x98404,x98405,x98402,x98401)),x98404)+E(f330(f330(f137(x98401),f691(x98403,x98404,x98405,x98402,x98401)),x98405),x98403)+~E(f330(f330(f137(x98401),x98402),x98405),f330(f330(f137(x98401),x98404),x98403)) % 199.49/199.85 [9894]P108(f330(f330(f332(f934(x98941,x98941)),f330(f330(f255(x98941,x98941),x98942),x98943)),f330(f330(f292(x98941,x98941,x98941),x98944),f310(x98941,x98944))))+~P108(f330(f330(f332(f934(x98941,x98941)),f330(f330(f255(x98941,x98941),x98942),x98945)),f330(f330(f292(x98941,x98941,x98941),x98944),f310(x98941,x98944))))+~P108(f330(f330(f332(f934(x98941,x98941)),f330(f330(f255(x98941,x98941),x98945),x98943)),f330(f330(f292(x98941,x98941,x98941),x98944),f310(x98941,x98944)))) % 199.49/199.85 [9921]P36(x99211,x99212,x99213,x99214,x99215)+~E(f330(f192(f929(x99211)),x99214),f330(f192(f929(x99212)),x99215))+~P108(f330(f330(f260(x99211,x99212,a923),x99213),f708(x99215,x99214,x99213,x99212,x99211))) % 199.49/199.85 [9922]P36(x99221,x99222,x99223,x99224,x99225)+~E(f330(f192(f929(x99221)),x99224),f330(f192(f929(x99222)),x99225))+~P108(f330(f330(f260(x99221,x99222,a923),x99223),f709(x99223,x99225,x99224,x99222,x99221))) % 199.49/199.85 [9927]E(f330(f330(f137(x99271),f691(x99272,x99273,x99274,x99275,x99271)),x99274),x99272)+~E(f330(f330(f137(x99271),x99273),x99272),f330(f330(f137(x99271),x99275),x99274))+E(f330(f330(f137(x99271),f692(x99272,x99273,x99274,x99275,x99271)),x99272),x99274) % 199.49/199.85 [9942]~P110(x99422)+E(f330(f330(f151(x99421,x99422,x99423),x99424),x99425),f330(f330(f154(x99421),x99424),x99425))+P108(f330(f330(f332(x99421),f754(x99424,x99423,x99425,x99421,x99422)),f330(f175(x99421),x99425))) % 199.49/199.85 [9946]~P61(x99461,x99464,x99463,x99462)+~P108(f330(f330(f332(x99461),x99465),x99463))+P108(f330(f330(f332(x99461),f522(x99462,x99463,x99464,x99461,x99465)),x99462)) % 199.49/199.85 [9947]~P61(x99471,x99474,x99473,x99472)+~P108(f330(f330(f332(x99471),x99475),x99473))+P108(f330(f330(f332(x99471),f810(x99472,x99473,x99474,x99471,x99475)),x99472)) % 199.49/199.85 [10062]~P108(f330(f330(f332(f934(f935(x100621,a923),f935(x100621,a923))),f330(f330(f255(f935(x100621,a923),f935(x100621,a923)),x100624),x100623)),f321(x100621,x100622)))+~P108(f330(f330(f332(x100621),x100625),x100624))+P108(f330(f330(f332(x100621),f603(x100622,x100623,x100624,x100621,x100625)),x100623)) % 199.49/199.85 [10073]~P110(x100732)+E(f330(f330(f151(x100731,x100732,x100733),x100734),x100735),f330(f330(f154(x100731),x100734),x100735))+~P108(f330(f330(f238(x100732),f330(x100733,x100734)),f330(x100733,f754(x100734,x100733,x100735,x100731,x100732)))) % 199.49/199.85 [10122]~P25(x101223,x101224,x101225,f245(f935(x101223,a923)))+P108(f330(x101221,x101222))+~P108(f330(x101221,f330(f94(x101223,x101224,f245(f935(x101223,a923)),x101225),f824(x101222,x101221,x101225,x101224,x101223)))) % 199.49/199.85 [10260]P36(x102601,x102602,x102603,x102604,x102605)+~E(f330(f192(f929(x102601)),x102604),f330(f192(f929(x102602)),x102605))+~P108(f330(f330(x102603,f330(f330(f167(x102601),x102604),f710(x102605,x102604,x102603,x102602,x102601))),f330(f330(f167(x102602),x102605),f710(x102605,x102604,x102603,x102602,x102601)))) % 199.49/199.85 [10261]P36(x102611,x102612,x102613,x102614,x102615)+~E(f330(f192(f929(x102611)),x102614),f330(f192(f929(x102612)),x102615))+~P108(f330(f330(x102613,f330(f330(f167(x102611),x102614),f747(x102613,x102615,x102612,x102614,x102611))),f330(f330(f167(x102612),x102615),f747(x102613,x102615,x102612,x102614,x102611)))) % 199.49/199.85 [6840]~P17(x68402,x68405,x68401)+~P108(f330(f62(x68402),x68404))+E(f330(x68401,f330(f330(f312(x68402),x68403),x68404)),f330(f330(f65(x68402,x68402,x68405),x68403),x68404)) % 199.49/199.85 [6841]~E(x68413,x68414)+~E(x68412,x68415)+E(f330(f330(f312(x68411),x68412),f330(f330(f312(x68411),x68413),f191(f935(x68411,a923)))),f330(f330(f312(x68411),x68414),f330(f330(f312(x68411),x68415),f191(f935(x68411,a923))))) % 199.49/199.85 [6851]P108(f330(x68512,x68515))+E(f180(x68511,x68512,f330(f330(f137(x68511),x68513),x68514)),f180(x68511,x68512,x68513))+~P108(f330(f330(f332(x68511),x68515),f330(f175(x68511),x68513))) % 199.49/199.85 [6889]E(f330(x68891,x68892),f191(f935(x68893,a923)))+~E(f330(f330(f40(x68894,f935(x68893,a923)),x68895),x68891),f191(f935(x68893,a923)))+~P108(f330(f330(f332(x68894),x68892),x68895)) % 199.49/199.85 [6890]E(f330(x68901,x68902),f245(f935(x68903,a923)))+~E(f330(f330(f41(x68904,f935(x68903,a923)),x68905),x68901),f245(f935(x68903,a923)))+~P108(f330(f330(f332(x68904),x68902),x68905)) % 199.49/199.85 [7394]~E(x73942,x73944)+~P130(x73941)+E(f330(f330(f82(x73941),f330(f330(f83(x73941),x73942),x73943)),f330(f330(f83(x73941),x73944),x73945)),f330(f330(f82(x73941),f330(f330(f83(x73941),x73942),x73945)),f330(f330(f83(x73941),x73944),x73943))) % 199.49/199.85 [7456]~P5(x74561)+~P108(f330(f330(f332(x74564),x74563),x74565))+P108(f330(f330(f238(x74561),f330(x74562,x74563)),f330(f330(f40(x74564,x74561),x74565),x74562))) % 199.49/199.85 [7509]~P111(x75091)+P108(f330(f330(f238(x75091),f330(x75092,x75093)),f330(x75094,x75093)))+~P108(f330(f330(f238(f935(x75095,x75091)),x75092),x75094)) % 199.49/199.85 [7628]E(x76281,x76282)+E(x76283,x76281)+~E(f330(f330(f312(x76284),x76281),f330(f330(f312(x76284),x76285),f191(f935(x76284,a923)))),f330(f330(f312(x76284),x76282),f330(f330(f312(x76284),x76283),f191(f935(x76284,a923))))) % 199.49/199.85 [7629]E(x76291,x76292)+E(x76293,x76291)+~E(f330(f330(f312(x76294),x76293),f330(f330(f312(x76294),x76292),f191(f935(x76294,a923)))),f330(f330(f312(x76294),x76295),f330(f330(f312(x76294),x76291),f191(f935(x76294,a923))))) % 199.49/199.85 [7630]E(x76301,x76302)+E(x76301,x76303)+~E(f330(f330(f312(x76304),x76303),f330(f330(f312(x76304),x76302),f191(f935(x76304,a923)))),f330(f330(f312(x76304),x76305),f330(f330(f312(x76304),x76301),f191(f935(x76304,a923))))) % 199.49/199.85 [7631]E(x76311,x76312)+E(x76311,x76313)+~E(f330(f330(f312(x76314),x76311),f330(f330(f312(x76314),x76315),f191(f935(x76314,a923)))),f330(f330(f312(x76314),x76312),f330(f330(f312(x76314),x76313),f191(f935(x76314,a923))))) % 199.49/199.85 [8155]P25(x81551,x81552,x81553,x81554)+~P25(x81551,x81552,x81553,x81555)+~P108(f330(f330(f238(f935(x81551,a923)),x81554),x81555)) % 199.49/199.85 [8185]~E(f330(x81853,x81855),x81854)+~P25(x81851,x81852,x81853,f245(f935(x81851,a923)))+E(f330(f94(x81851,x81852,f245(f935(x81851,a923)),x81853),x81854),x81855) % 199.49/199.85 [8331]E(x83311,x83312)+~E(f330(f313(x83313,x83314,x83315),x83311),f330(f313(x83313,x83314,x83315),x83312))+~P25(x83313,x83314,x83315,f330(f330(f113(f935(x83313,a923)),x83311),x83312)) % 199.49/199.85 [8406]P108(f330(x84062,x84064))+E(f330(f330(f141(x84061),f330(f192(f929(x84061)),f180(x84061,x84062,x84063))),x84063),f330(f330(f154(x84061),x84064),x84065))+~E(f330(f330(f137(x84061),f180(x84061,x84062,x84063)),f330(f330(f154(x84061),x84064),x84065)),x84063) % 199.49/199.85 [8434]~P25(x84341,x84342,x84343,x84345)+~P25(x84341,x84342,x84343,x84344)+P25(x84341,x84342,x84343,f330(f330(f104(f935(x84341,a923)),x84344),x84345)) % 199.49/199.85 [8542]~P76(x85421)+E(f330(f330(f82(x85421),f330(x85422,x85423)),f330(f168(x85421),f330(f330(f157(x85424,x85421),x85422),f173(x85424,x85423,x85425)))),f330(f168(x85421),f330(f330(f157(x85424,x85421),x85422),x85425)))+~P108(f330(f330(f332(x85424),x85423),f330(f175(x85424),x85425))) % 199.49/199.85 [8629]~P110(x86291)+~P13(x86291,f330(f330(f157(x86292,x86291),x86293),x86295))+P13(x86291,f330(f330(f157(x86292,x86291),x86293),f330(f330(f151(x86292,x86291,x86293),x86294),x86295))) % 199.49/199.85 [8714]~P5(x87141)+P108(f330(f330(f238(x87141),f330(f330(f40(x87142,x87141),x87143),x87144)),f330(f330(f40(x87142,x87141),x87145),x87144)))+~P108(f330(f330(f238(f935(x87142,a923)),x87143),x87145)) % 199.49/199.85 [8715]~P5(x87151)+P108(f330(f330(f238(x87151),f330(f330(f41(x87152,x87151),x87153),x87154)),f330(f330(f41(x87152,x87151),x87155),x87154)))+~P108(f330(f330(f238(f935(x87152,a923)),x87155),x87153)) % 199.49/199.85 [8748]~P110(x87483)+P108(f330(f140(x87481),x87482))+~P108(f330(f140(x87481),f330(f330(f151(x87481,x87483,x87484),x87485),x87482))) % 199.49/199.85 [8892]~P110(x88921)+~P108(f330(f330(f332(x88922),x88923),f330(f175(x88922),x88924)))+~P108(f330(f140(x88922),f330(f330(f151(x88922,x88921,x88925),x88923),x88924))) % 199.49/199.85 [8982]~P110(x89821)+P13(x89821,f330(f330(f157(x89822,x89821),x89823),x89824))+~P13(x89821,f330(f330(f157(x89822,x89821),x89823),f330(f330(f151(x89822,x89821,x89823),x89825),x89824))) % 199.49/199.85 [9028]~P25(x90282,x90281,x90284,x90283)+E(f330(f313(x90281,x90282,f94(x90282,x90281,x90283,x90284)),f330(f313(x90282,x90281,x90284),x90285)),x90285)+~P108(f330(f330(f238(f935(x90282,a923)),x90285),x90283)) % 199.49/199.85 [9081]~P110(x90812)+E(f330(f330(f151(x90811,x90812,x90813),x90814),x90815),f152(x90811,x90812,x90813,x90814,x90815))+P108(f330(f330(f332(x90812),f330(x90813,x90814)),f330(f313(x90811,x90812,x90813),f330(f175(x90811),x90815)))) % 199.49/199.85 [9163]~P110(x91632)+E(f152(x91631,x91632,x91633,x91634,x91635),x91635)+~P108(f330(f330(f332(x91632),f330(x91633,x91634)),f330(f313(x91631,x91632,x91633),f330(f175(x91631),x91635)))) % 199.49/199.85 [9179]~P25(x91792,x91791,x91793,x91795)+P108(f330(f330(f239(f935(x91791,a923)),f330(f313(x91792,x91791,x91793),x91794)),f330(f313(x91792,x91791,x91793),x91795)))+~P108(f330(f330(f239(f935(x91792,a923)),x91794),x91795)) % 199.49/199.85 [9338]~P25(x93381,x93382,x93383,f245(f935(x93381,a923)))+~P108(f330(f330(f238(f935(x93382,a923)),x93384),f330(f313(x93381,x93382,x93383),x93385)))+P108(f330(f330(f238(f935(x93381,a923)),f330(f314(x93381,x93382,x93383),x93384)),x93385)) % 199.49/199.85 [9362]~E(f330(f313(x93623,x93621,x93624),f245(f935(x93623,a923))),f245(f935(x93621,a923)))+P108(f330(f330(f238(f935(x93621,a923)),x93622),f330(f313(x93623,x93621,x93624),x93625)))+~P108(f330(f330(f238(f935(x93623,a923)),f330(f314(x93623,x93621,x93624),x93622)),x93625)) % 199.49/199.85 [9468]~P25(x94681,x94684,x94685,f245(f935(x94681,a923)))+~P108(f330(f330(f238(f935(x94684,a923)),f330(f313(x94681,x94684,x94685),x94682)),f330(f313(x94681,x94684,x94685),x94683)))+P108(f330(f330(f238(f935(x94681,a923)),x94682),x94683)) % 199.49/199.85 [9590]~P82(x95901)+~E(f330(x95903,f730(x95903,x95904,x95905,x95902,x95901)),f2(x95901))+E(f330(f168(x95901),f330(f330(f157(x95902,x95901),x95903),f330(f139(x95902,x95904),x95905))),f330(f168(x95901),f330(f330(f157(x95902,x95901),x95903),x95905))) % 199.49/199.85 [9617]~P26(x96171,x96172,x96173,f245(f935(x96171,a923)),f245(f935(x96172,a923)))+~P108(f330(f330(f238(f935(x96172,a923)),x96174),f330(f313(x96171,x96172,x96173),x96175)))+P108(f330(f330(f238(f935(x96171,a923)),f330(f314(x96171,x96172,x96173),x96174)),x96175)) % 199.49/199.85 [9646]~P26(x96463,x96461,x96464,f245(f935(x96463,a923)),f245(f935(x96461,a923)))+P108(f330(f330(f238(f935(x96461,a923)),x96462),f330(f313(x96463,x96461,x96464),x96465)))+~P108(f330(f330(f238(f935(x96463,a923)),f330(f314(x96463,x96461,x96464),x96462)),x96465)) % 199.49/199.85 [9773]~P16(x97731,x97732,x97733)+~P108(f330(f62(x97731),x97735))+P108(f330(f67(x97731,x97732,x97733,x97734,x97735),f330(f330(f65(x97731,x97732,x97733),x97734),x97735))) % 199.49/199.85 [9852]~P26(x98522,x98521,x98524,f245(f935(x98522,a923)),f245(f935(x98521,a923)))+~P26(x98521,x98523,x98525,f245(f935(x98521,a923)),f245(f935(x98523,a923)))+E(f330(f74(x98521,x98522,x98523,f94(x98522,x98521,f245(f935(x98522,a923)),x98524)),f94(x98521,x98523,f245(f935(x98521,a923)),x98525)),f94(x98522,x98523,f245(f935(x98522,a923)),f330(f74(x98521,x98523,x98522,x98525),x98524))) % 199.49/199.85 [9853]P108(f330(x98531,f651(x98532,x98531,x98533,x98534,x98535)))+~P108(f330(f330(f238(f935(x98535,a923)),x98534),x98533))+P108(f330(f330(f238(f935(x98535,a923)),f330(f330(f104(f935(x98535,a923)),x98534),f330(f265(x98535),x98531))),f330(f330(f104(f935(x98535,a923)),x98533),f330(f265(x98535),x98532)))) % 199.49/199.85 [9867]~P82(x98671)+~P108(f330(x98674,f730(x98673,x98674,x98675,x98672,x98671)))+E(f330(f168(x98671),f330(f330(f157(x98672,x98671),x98673),f330(f139(x98672,x98674),x98675))),f330(f168(x98671),f330(f330(f157(x98672,x98671),x98673),x98675))) % 199.49/199.85 [9944]~P5(x99445)+P108(f330(f330(f332(x99441),f508(x99442,x99443,x99441,x99444,x99445)),x99443))+P108(f330(f330(f238(x99445),x99444),f330(f330(f41(x99441,x99445),x99443),x99442))) % 199.49/199.85 [9948]~P82(x99481)+E(f330(f168(x99481),f330(f330(f157(x99482,x99481),x99483),f330(f139(x99482,x99484),x99485))),f330(f168(x99481),f330(f330(f157(x99482,x99481),x99483),x99485)))+P108(f330(f330(f332(x99482),f730(x99483,x99484,x99485,x99482,x99481)),f330(f175(x99482),x99485))) % 199.49/199.85 [9958]~P108(f330(x99585,f651(x99585,x99583,x99584,x99582,x99581)))+~P108(f330(f330(f238(f935(x99581,a923)),x99582),x99584))+P108(f330(f330(f238(f935(x99581,a923)),f330(f330(f104(f935(x99581,a923)),x99582),f330(f265(x99581),x99583))),f330(f330(f104(f935(x99581,a923)),x99584),f330(f265(x99581),x99585)))) % 199.49/199.85 [9974]~P25(x99745,x99743,x99744,f245(f935(x99745,a923)))+P108(f330(x99741,x99742))+P108(f330(f330(f332(x99743),f824(x99742,x99741,x99744,x99743,x99745)),f330(f313(x99745,x99743,x99744),f245(f935(x99745,a923))))) % 199.49/199.85 [9998]P36(x99981,x99982,x99983,x99984,x99985)+~E(f330(f192(f929(x99982)),x99985),f330(f192(f929(x99981)),x99984))+P108(f330(f330(f239(a928),f710(x99985,x99984,x99983,x99982,x99981)),f330(f192(f929(x99981)),x99984))) % 199.49/199.85 [9999]P36(x99991,x99992,x99993,x99994,x99995)+~E(f330(f192(f929(x99992)),x99995),f330(f192(f929(x99991)),x99994))+P108(f330(f330(f239(a928),f747(x99993,x99995,x99992,x99994,x99991)),f330(f192(f929(x99991)),x99994))) % 199.49/199.85 [10030]P108(f330(f330(f332(x100301),f651(x100302,x100303,x100304,x100305,x100301)),x100305))+~P108(f330(f330(f238(f935(x100301,a923)),x100305),x100304))+P108(f330(f330(f238(f935(x100301,a923)),f330(f330(f104(f935(x100301,a923)),x100305),f330(f265(x100301),x100303))),f330(f330(f104(f935(x100301,a923)),x100304),f330(f265(x100301),x100302)))) % 199.49/199.85 [10074]~P5(x100741)+~P108(f330(f330(f238(x100741),x100742),f330(x100745,f508(x100745,x100744,x100743,x100742,x100741))))+P108(f330(f330(f238(x100741),x100742),f330(f330(f41(x100743,x100741),x100744),x100745))) % 199.49/199.85 [10111]~P72(x101111)+~P108(f330(f62(x101112),x101115))+E(f330(f330(f330(f66(x101111,x101112,f83(x101111)),f330(f330(f18(x101112,x101111,x101111),f330(f330(f8(x101111,f935(x101111,x101111),x101112),f83(x101111)),x101113)),x101114)),f80(x101111)),x101115),f330(f330(f83(x101111),f330(f330(f330(f66(x101111,x101112,f83(x101111)),x101113),f80(x101111)),x101115)),f330(f330(f330(f66(x101111,x101112,f83(x101111)),x101114),f80(x101111)),x101115))) % 199.49/199.85 [10166]~P108(f330(f330(f332(f934(f935(x101661,a923),f935(x101661,a923))),f330(f330(f255(f935(x101661,a923),f935(x101661,a923)),x101665),x101664)),f321(x101661,x101663)))+~P108(f330(f330(f332(x101661),x101662),x101665))+P108(f330(f330(f332(f934(x101661,x101661)),f330(f330(f255(x101661,x101661),x101662),f603(x101663,x101664,x101665,x101661,x101662))),x101663)) % 199.49/199.85 [10294]~P108(f330(f330(f332(f934(f929(x102941),f929(x102941))),f330(f330(f255(f929(x102941),f929(x102941)),f330(f330(f137(x102941),x102945),x102942)),f330(f330(f137(x102941),x102945),x102943))),f150(x102941,x102944)))+P108(f330(f330(f332(f934(f929(x102941),f929(x102941))),f330(f330(f255(f929(x102941),f929(x102941)),x102942),x102943)),f150(x102941,x102944)))+P108(f330(f330(f332(f934(x102941,x102941)),f330(f330(f255(x102941,x102941),f698(x102944,x102943,x102942,x102945,x102941)),f698(x102944,x102943,x102942,x102945,x102941))),x102944)) % 199.49/199.85 [7512]~E(x75123,x75125)+E(f330(f330(f167(x75121),f330(f330(f162(x75121,x75122),x75123),x75124)),x75125),x75124)+~P108(f330(f330(f239(a928),x75123),f330(f192(f929(x75121)),x75122))) % 199.49/199.85 [7625]~E(f330(f330(f137(x76251),x76252),x76254),f330(f330(f137(x76251),x76253),x76255))+E(f330(f330(f178(x76251),f330(f192(f929(x76251)),x76252)),x76253),x76252)+P108(f330(f330(f238(a928),f330(f192(f929(x76251)),x76253)),f330(f192(f929(x76251)),x76252))) % 199.49/199.85 [8116]~E(f330(f330(f137(x81161),x81162),x81164),f330(f330(f137(x81161),x81163),x81165))+E(f330(f330(f178(x81161),f330(f192(f929(x81161)),x81162)),x81163),x81162)+~P108(f330(f330(f238(a928),f330(f192(f929(x81161)),x81162)),f330(f192(f929(x81161)),x81163))) % 199.49/199.85 [8140]~P108(f330(f62(x81401),f330(x81404,x81405)))+~P108(f330(f330(f332(x81402),x81405),x81403))+P108(f330(f62(x81401),f330(f330(f41(x81402,f935(x81401,a923)),x81403),x81404))) % 199.49/199.85 [8315]~P55(x83151,x83153,x83155)+~P55(x83151,x83152,x83154)+P55(x83151,f330(f330(f104(f935(x83151,a923)),x83152),x83153),f330(f330(f104(f935(f934(x83151,x83151),a923)),x83154),x83155)) % 199.49/199.85 [8316]~P55(x83161,x83163,x83165)+~P55(x83161,x83162,x83164)+P55(x83161,f330(f330(f113(f935(x83161,a923)),x83162),x83163),f330(f330(f113(f935(f934(x83161,x83161),a923)),x83164),x83165)) % 199.49/199.85 [8669]E(f330(f330(f255(x86691,x86692),f330(f330(f167(x86691),x86693),x86694)),f330(f330(f167(x86692),x86695),x86694)),f330(f330(f167(f934(x86691,x86692)),f330(f330(f184(x86691,x86692),x86693),x86695)),x86694))+~P108(f330(f330(f239(a928),x86694),f330(f192(f929(x86691)),x86693)))+~P108(f330(f330(f239(a928),x86694),f330(f192(f929(x86692)),x86695))) % 199.49/199.85 [8821]~P55(x88211,x88213,x88214)+P108(f330(f330(f332(x88211),x88212),x88213))+~P108(f330(f330(f332(f934(x88211,x88211)),f330(f330(f255(x88211,x88211),x88215),x88212)),x88214)) % 199.49/199.85 [8822]~P55(x88221,x88223,x88224)+P108(f330(f330(f332(x88221),x88222),x88223))+~P108(f330(f330(f332(f934(x88221,x88221)),f330(f330(f255(x88221,x88221),x88222),x88225)),x88224)) % 199.49/199.85 [8823]~P8(x88231,x88233,x88234)+P108(f330(f330(f332(x88231),x88232),x88233))+~P108(f330(f330(f332(f934(x88231,x88231)),f330(f330(f255(x88231,x88231),x88235),x88232)),x88234)) % 199.49/199.85 [8824]~P8(x88241,x88243,x88244)+P108(f330(f330(f332(x88241),x88242),x88243))+~P108(f330(f330(f332(f934(x88241,x88241)),f330(f330(f255(x88241,x88241),x88242),x88245)),x88244)) % 199.49/199.85 [9105]~P8(x91051,x91055,x91052)+E(f330(f288(x91051,x91051,x91052),f330(f330(f312(x91051),x91053),f191(f935(x91051,a923)))),f330(f288(x91051,x91051,x91052),f330(f330(f312(x91051),x91054),f191(f935(x91051,a923)))))+~P108(f330(f330(f332(f934(x91051,x91051)),f330(f330(f255(x91051,x91051),x91053),x91054)),x91052)) % 199.49/199.85 [9294]P108(f330(x92941,x92942))+~P108(f330(f330(f332(x92943),x92942),x92945))+P108(f330(f330(f332(x92943),f407(x92941,x92944,x92945,x92943)),f330(f330(f113(f935(x92943,a923)),x92945),x92944))) % 199.49/199.85 [9295]P108(f330(x92951,x92952))+~P108(f330(f330(f332(x92953),x92952),x92954))+P108(f330(f330(f332(x92953),f407(x92951,x92954,x92955,x92953)),f330(f330(f113(f935(x92953,a923)),x92955),x92954))) % 199.49/199.85 [9303]~P108(f330(x93032,x93035))+~P108(f330(f330(f332(x93031),x93035),x93034))+P108(f330(f330(f332(x93031),f415(x93032,x93033,x93034,x93031)),f330(f330(f113(f935(x93031,a923)),x93034),x93033))) % 199.49/199.85 [9304]~P108(f330(x93042,x93045))+~P108(f330(f330(f332(x93041),x93045),x93043))+P108(f330(f330(f332(x93041),f415(x93042,x93043,x93044,x93041)),f330(f330(f113(f935(x93041,a923)),x93044),x93043))) % 199.49/199.85 [9319]~P108(f330(f330(f238(f935(x93191,a923)),x93195),x93193))+~P108(f330(f330(f238(f935(x93191,a923)),x93192),x93194))+P108(f330(f330(f238(f935(x93191,a923)),f330(f330(f23(f935(x93191,a923)),x93192),x93193)),f330(f330(f23(f935(x93191,a923)),x93194),x93195))) % 199.49/199.85 [9320]~P108(f330(f330(f238(f935(x93201,a923)),x93203),x93205))+~P108(f330(f330(f238(f935(x93201,a923)),x93202),x93204))+P108(f330(f330(f238(f935(x93201,a923)),f330(f330(f104(f935(x93201,a923)),x93202),x93203)),f330(f330(f104(f935(x93201,a923)),x93204),x93205))) % 199.49/199.85 [9321]~P108(f330(f330(f238(f935(x93211,a923)),x93213),x93215))+~P108(f330(f330(f238(f935(x93211,a923)),x93212),x93214))+P108(f330(f330(f238(f935(x93211,a923)),f330(f330(f113(f935(x93211,a923)),x93212),x93213)),f330(f330(f113(f935(x93211,a923)),x93214),x93215))) % 199.49/199.85 [9416]P108(f330(f330(f332(f934(x94161,x94161)),f330(f330(f255(x94161,x94161),x94162),x94163)),f324(x94161,x94164,x94165)))+~P108(f330(f330(f238(a928),f330(x94164,x94162)),f330(x94164,x94163)))+~P108(f330(f330(f332(f934(x94161,x94161)),f330(f330(f255(x94161,x94161),x94162),x94163)),x94165)) % 199.49/199.85 [9600]P108(f330(f330(f332(f934(x96001,x96001)),f330(f330(f255(x96001,x96001),x96002),x96003)),f310(x96001,x96004)))+~P108(f330(f330(f332(f934(x96001,x96001)),f330(f330(f255(x96001,x96001),x96002),x96005)),f310(x96001,x96004)))+~P108(f330(f330(f332(f934(x96001,x96001)),f330(f330(f255(x96001,x96001),x96005),x96003)),x96004)) % 199.49/199.85 [9601]P108(f330(f330(f332(f934(x96011,x96011)),f330(f330(f255(x96011,x96011),x96012),x96013)),f310(x96011,x96014)))+~P108(f330(f330(f332(f934(x96011,x96011)),f330(f330(f255(x96011,x96011),x96015),x96013)),f310(x96011,x96014)))+~P108(f330(f330(f332(f934(x96011,x96011)),f330(f330(f255(x96011,x96011),x96012),x96015)),x96014)) % 199.49/199.85 [9701]E(x97011,x97012)+E(f330(a115,f629(x97013,x97014,x97011,x97012,x97015)),x97014)+~P108(f330(f330(f332(f934(x97015,x97015)),f330(f330(f255(x97015,x97015),x97012),x97011)),f330(f330(f186(f934(x97015,x97015),a923),x97014),x97013))) % 199.49/199.85 [9702]E(x97021,x97022)+E(f330(a115,f631(x97023,x97024,x97021,x97022,x97025)),x97024)+~P108(f330(f330(f332(f934(x97025,x97025)),f330(f330(f255(x97025,x97025),x97022),x97021)),f330(f330(f186(f934(x97025,x97025),a923),x97024),x97023))) % 199.49/199.85 [9703]E(x97031,f2(a928))+E(f330(a115,f629(x97032,x97031,x97033,x97034,x97035)),x97031)+~P108(f330(f330(f332(f934(x97035,x97035)),f330(f330(f255(x97035,x97035),x97034),x97033)),f330(f330(f186(f934(x97035,x97035),a923),x97031),x97032))) % 199.49/199.85 [9704]E(x97041,f2(a928))+E(f330(a115,f631(x97042,x97041,x97043,x97044,x97045)),x97041)+~P108(f330(f330(f332(f934(x97045,x97045)),f330(f330(f255(x97045,x97045),x97044),x97043)),f330(f330(f186(f934(x97045,x97045),a923),x97041),x97042))) % 199.49/199.85 [9725]P108(f330(f330(f332(f934(x97251,x97251)),f330(f330(f255(x97251,x97251),x97252),x97253)),f330(f330(f292(x97251,x97251,x97251),x97254),f310(x97251,x97254))))+~P108(f330(f330(f332(f934(x97251,x97251)),f330(f330(f255(x97251,x97251),x97252),x97255)),x97254))+~P108(f330(f330(f332(f934(x97251,x97251)),f330(f330(f255(x97251,x97251),x97255),x97253)),x97254)) % 199.49/199.85 [9732]~P108(f330(f330(f332(f934(x97321,x97321)),f330(f330(f255(x97321,x97321),x97322),x97325)),f310(x97321,x97324)))+P108(f330(f330(f332(f934(x97321,x97321)),f330(f330(f255(x97321,x97321),x97322),x97323)),f330(f330(f292(x97321,x97321,x97321),x97324),f310(x97321,x97324))))+~P108(f330(f330(f332(f934(x97321,x97321)),f330(f330(f255(x97321,x97321),x97325),x97323)),x97324)) % 199.49/199.85 [9767]~P8(x97671,x97675,x97672)+~P108(f330(f330(f332(f934(x97671,x97671)),f330(f330(f255(x97671,x97671),x97673),x97674)),x97672))+P108(f330(f330(f238(f935(x97671,a923)),f330(f288(x97671,x97671,x97672),f330(f330(f312(x97671),x97673),f191(f935(x97671,a923))))),f330(f288(x97671,x97671,x97672),f330(f330(f312(x97671),x97674),f191(f935(x97671,a923)))))) % 199.49/199.85 [9825]P108(f330(f330(f332(f934(x98251,x98251)),f330(f330(f255(x98251,x98251),x98252),x98253)),f330(f330(f292(x98251,x98251,x98251),x98254),f310(x98251,x98254))))+~P108(f330(f330(f332(f934(x98251,x98251)),f330(f330(f255(x98251,x98251),x98252),x98255)),f330(f330(f292(x98251,x98251,x98251),x98254),f310(x98251,x98254))))+~P108(f330(f330(f332(f934(x98251,x98251)),f330(f330(f255(x98251,x98251),x98255),x98253)),x98254)) % 199.49/199.85 [9826]P108(f330(f330(f332(f934(x98261,x98261)),f330(f330(f255(x98261,x98261),x98262),x98263)),f330(f330(f292(x98261,x98261,x98261),x98264),f310(x98261,x98264))))+~P108(f330(f330(f332(f934(x98261,x98261)),f330(f330(f255(x98261,x98261),x98265),x98263)),f330(f330(f292(x98261,x98261,x98261),x98264),f310(x98261,x98264))))+~P108(f330(f330(f332(f934(x98261,x98261)),f330(f330(f255(x98261,x98261),x98262),x98265)),x98264)) % 199.49/199.85 [9876]~P108(f330(f67(x98761,x98761,x98764,x98762,x98763),x98765))+P108(f330(f330(f332(x98761),x98762),x98763))+P108(f330(f63(x98761,x98764,f330(f330(f312(x98761),x98762),x98763)),x98765)) % 199.49/199.85 [9914]~E(f330(f313(x99143,x99142,x99145),x99144),x99141)+E(x99141,f191(f935(x99142,a923)))+P108(f330(f330(f238(f935(x99143,a923)),f330(f313(x99142,x99143,f480(x99144,x99143,x99142,x99141)),x99141)),x99144)) % 199.49/199.85 [9961]~P5(x99615)+P108(f330(f330(f332(x99611),f904(x99612,x99613,x99614,x99611,x99615)),x99614))+P108(f330(f330(f238(x99615),f330(f330(f40(x99611,x99615),x99614),x99613)),x99612)) % 199.49/199.85 [10017]P36(x100171,x100172,x100173,x100174,x100175)+~E(f330(f192(f929(x100171)),x100174),f330(f192(f929(x100172)),x100175))+P108(f330(f330(f332(f934(x100171,x100172)),f708(x100175,x100174,x100173,x100172,x100171)),f330(f175(f934(x100171,x100172)),f330(f330(f184(x100171,x100172),x100174),x100175)))) % 199.49/199.85 [10018]P36(x100181,x100182,x100183,x100184,x100185)+~E(f330(f192(f929(x100181)),x100184),f330(f192(f929(x100182)),x100185))+P108(f330(f330(f332(f934(x100181,x100182)),f709(x100183,x100185,x100184,x100182,x100181)),f330(f175(f934(x100181,x100182)),f330(f330(f184(x100181,x100182),x100184),x100185)))) % 199.49/199.85 [10145]E(x101451,x101452)+P108(f330(f330(f332(f934(x101453,x101453)),f330(f330(f255(x101453,x101453),x101451),f632(x101454,x101455,x101452,x101451,x101453))),x101454))+~P108(f330(f330(f332(f934(x101453,x101453)),f330(f330(f255(x101453,x101453),x101451),x101452)),f330(f330(f186(f934(x101453,x101453),a923),x101455),x101454))) % 199.49/199.85 [10146]E(x101461,f2(a928))+P108(f330(f330(f332(f934(x101462,x101462)),f330(f330(f255(x101462,x101462),x101463),f632(x101464,x101461,x101465,x101463,x101462))),x101464))+~P108(f330(f330(f332(f934(x101462,x101462)),f330(f330(f255(x101462,x101462),x101463),x101465)),f330(f330(f186(f934(x101462,x101462),a923),x101461),x101464))) % 199.49/199.85 [10186]~P5(x101861)+~P108(f330(f330(f238(x101861),f330(x101864,f904(x101865,x101864,x101863,x101862,x101861))),x101865))+P108(f330(f330(f238(x101861),f330(f330(f40(x101862,x101861),x101863),x101864)),x101865)) % 199.49/199.85 [10230]E(x102301,x102302)+P108(f330(f330(f332(f934(x102303,x102303)),f330(f330(f255(x102303,x102303),f630(x102304,x102305,x102301,x102302,x102303)),x102301)),x102304))+~P108(f330(f330(f332(f934(x102303,x102303)),f330(f330(f255(x102303,x102303),x102302),x102301)),f330(f330(f186(f934(x102303,x102303),a923),x102305),x102304))) % 199.49/199.85 [10231]E(x102311,f2(a928))+P108(f330(f330(f332(f934(x102312,x102312)),f330(f330(f255(x102312,x102312),f630(x102313,x102311,x102314,x102315,x102312)),x102314)),x102313))+~P108(f330(f330(f332(f934(x102312,x102312)),f330(f330(f255(x102312,x102312),x102315),x102314)),f330(f330(f186(f934(x102312,x102312),a923),x102311),x102313))) % 199.49/199.85 [10235]E(x102351,x102352)+P108(f330(f330(f332(f934(x102353,x102353)),f330(f330(f255(x102353,x102353),x102351),f630(x102354,x102355,x102352,x102351,x102353))),f330(f330(f186(f934(x102353,x102353),a923),f629(x102354,x102355,x102352,x102351,x102353)),x102354)))+~P108(f330(f330(f332(f934(x102353,x102353)),f330(f330(f255(x102353,x102353),x102351),x102352)),f330(f330(f186(f934(x102353,x102353),a923),x102355),x102354))) % 199.49/199.85 [10236]E(x102361,f2(a928))+P108(f330(f330(f332(f934(x102362,x102362)),f330(f330(f255(x102362,x102362),x102363),f630(x102364,x102361,x102365,x102363,x102362))),f330(f330(f186(f934(x102362,x102362),a923),f629(x102364,x102361,x102365,x102363,x102362)),x102364)))+~P108(f330(f330(f332(f934(x102362,x102362)),f330(f330(f255(x102362,x102362),x102363),x102365)),f330(f330(f186(f934(x102362,x102362),a923),x102361),x102364))) % 199.49/199.85 [10285]E(x102851,x102852)+P108(f330(f330(f332(f934(x102853,x102853)),f330(f330(f255(x102853,x102853),f632(x102854,x102855,x102851,x102852,x102853)),x102851)),f330(f330(f186(f934(x102853,x102853),a923),f631(x102854,x102855,x102851,x102852,x102853)),x102854)))+~P108(f330(f330(f332(f934(x102853,x102853)),f330(f330(f255(x102853,x102853),x102852),x102851)),f330(f330(f186(f934(x102853,x102853),a923),x102855),x102854))) % 199.49/199.85 [10286]E(x102861,f2(a928))+P108(f330(f330(f332(f934(x102862,x102862)),f330(f330(f255(x102862,x102862),f632(x102863,x102861,x102864,x102865,x102862)),x102864)),f330(f330(f186(f934(x102862,x102862),a923),f631(x102863,x102861,x102864,x102865,x102862)),x102863)))+~P108(f330(f330(f332(f934(x102862,x102862)),f330(f330(f255(x102862,x102862),x102865),x102864)),f330(f330(f186(f934(x102862,x102862),a923),x102861),x102863))) % 199.49/199.85 [10321]~P76(x103212)+~P108(f330(f62(x103211),x103215))+E(f330(f330(f6(x103211,x103212),f330(f330(f7(x103211,x103212,x103212),f330(f330(f18(x103211,x103212,f935(x103212,x103212)),f330(f330(f8(a923,f935(x103212,f935(x103212,x103212)),x103211),f99(x103212)),f330(f330(f7(x103211,f935(x103211,a923),a923),f332(x103211)),x103213))),x103214)),f2(x103212))),x103215),f330(f330(f6(x103211,x103212),x103214),f330(f330(f104(f935(x103211,a923)),x103215),x103213))) % 199.49/199.85 [8889]~P72(x88891)+~P108(f330(f62(x88894),x88895))+E(f330(f330(f83(x88891),f330(x88892,x88893)),f330(f330(f9(x88894,x88891),x88892),f330(f330(f23(f935(x88894,a923)),x88895),f330(f330(f312(x88894),x88893),f191(f935(x88894,a923)))))),f330(f330(f9(x88894,x88891),x88892),f330(f330(f312(x88894),x88893),x88895))) % 199.49/199.85 [8890]~P76(x88901)+~P108(f330(f62(x88904),x88905))+E(f330(f330(f82(x88901),f330(x88902,x88903)),f330(f330(f6(x88904,x88901),x88902),f330(f330(f23(f935(x88904,a923)),x88905),f330(f330(f312(x88904),x88903),f191(f935(x88904,a923)))))),f330(f330(f6(x88904,x88901),x88902),f330(f330(f312(x88904),x88903),x88905))) % 199.49/199.85 [9227]~P110(x92272)+~P13(x92272,f330(f171(x92272),f330(f330(f157(x92271,x92272),x92274),x92275)))+E(f330(f139(x92271,f330(f330(f8(x92272,a923,x92271),f330(f239(x92272),x92273)),x92274)),x92275),f180(x92271,f330(f330(f8(x92272,a923,x92271),f330(f239(x92272),x92273)),x92274),x92275)) % 199.49/199.85 [9251]~P76(x92511)+E(f330(f330(f82(x92511),f330(f330(f6(a928,x92511),x92512),f306(a928,x92513,x92514))),f330(f330(f6(a928,x92511),x92512),f306(a928,f330(f330(f82(a928),x92514),f80(a928)),f330(f330(f82(a928),x92514),x92515)))),f330(f330(f6(a928,x92511),x92512),f306(a928,x92513,f330(f330(f82(a928),x92514),x92515))))+~P108(f330(f330(f238(a928),x92513),f330(f330(f82(a928),x92514),f80(a928)))) % 199.49/199.85 [9252]~P108(f330(f330(f332(x92521),x92524),x92525))+~P108(f330(f330(f238(f935(x92521,a923)),f330(f175(x92521),x92522)),x92525))+P108(f330(f330(f238(f935(x92521,a923)),f330(f175(x92521),f330(f330(f162(x92521,x92522),x92523),x92524))),x92525)) % 199.49/199.85 [9476]~P5(x94762)+~P108(f330(f62(x94761),x94765))+E(f330(f330(f65(x94761,x94762,f330(f330(f8(x94762,f935(x94762,x94762),x94761),f104(x94762)),x94763)),x94764),x94765),f330(f330(f104(x94762),x94764),f330(f330(f41(x94761,x94762),x94765),x94763))) % 199.49/199.85 [9477]~P5(x94772)+~P108(f330(f62(x94771),x94775))+E(f330(f330(f65(x94771,x94772,f330(f330(f8(x94772,f935(x94772,x94772),x94771),f113(x94772)),x94773)),x94774),x94775),f330(f330(f113(x94772),x94774),f330(f330(f40(x94771,x94772),x94775),x94773))) % 199.49/199.85 [9525]E(f330(x95251,x95252),f330(x95251,x95253))+P108(f330(f330(f239(a928),f330(x95251,x95252)),f330(x95251,x95253)))+~P108(f330(f330(f332(f934(x95254,x95254)),f330(f330(f255(x95254,x95254),x95252),x95253)),f156(x95254,f330(f330(f154(f935(x95254,a928)),x95251),x95255)))) % 199.49/199.85 [9558]~E(f330(x95584,x95582),f330(x95584,x95583))+~P108(f330(f330(f332(f934(x95581,x95581)),f330(f330(f255(x95581,x95581),x95582),x95583)),f156(x95581,x95585)))+P108(f330(f330(f332(f934(x95581,x95581)),f330(f330(f255(x95581,x95581),x95582),x95583)),f156(x95581,f330(f330(f154(f935(x95581,a928)),x95584),x95585)))) % 199.49/199.85 [9578]~P25(x95781,x95782,x95783,x95785)+P25(x95781,x95782,x95783,f330(f330(f312(x95781),x95784),x95785))+P108(f330(f330(f332(x95782),f330(x95783,x95784)),f330(f313(x95781,x95782,x95783),f330(f330(f23(f935(x95781,a923)),x95785),f330(f330(f312(x95781),x95784),f191(f935(x95781,a923))))))) % 199.49/199.85 [9581]P108(f330(x95812,x95815))+~P108(f330(f330(f332(x95811),x95815),f330(f175(x95811),x95813)))+E(f330(f330(f141(x95811),f330(f192(f929(x95811)),f180(x95811,x95812,f330(f330(f137(x95811),x95813),x95814)))),f330(f330(f137(x95811),x95813),x95814)),f330(f330(f137(x95811),f330(f330(f141(x95811),f330(f192(f929(x95811)),f180(x95811,x95812,x95813))),x95813)),x95814)) % 199.49/199.85 [9586]~P108(f330(f330(f332(f934(x95861,x95861)),f330(f330(f255(x95861,x95861),x95862),x95863)),f156(x95861,x95865)))+~P108(f330(f330(f238(a928),f330(x95864,x95862)),f330(x95864,x95863)))+P108(f330(f330(f332(f934(x95861,x95861)),f330(f330(f255(x95861,x95861),x95862),x95863)),f156(x95861,f330(f330(f154(f935(x95861,a928)),x95864),x95865)))) % 199.49/199.85 [9653]P108(f330(f330(f332(f934(x96534,x96534)),f330(f330(f255(x96534,x96534),x96532),x96533)),f156(x96534,x96535)))+P108(f330(f330(f239(a928),f330(x96531,x96532)),f330(x96531,x96533)))+~P108(f330(f330(f332(f934(x96534,x96534)),f330(f330(f255(x96534,x96534),x96532),x96533)),f156(x96534,f330(f330(f154(f935(x96534,a928)),x96531),x96535)))) % 199.49/199.85 [9797]~P108(f330(f330(f332(f934(f929(x97971),f929(x97971))),f330(f330(f255(f929(x97971),f929(x97971)),x97972),x97974)),f161(x97971,x97975)))+~P108(f330(f330(f239(a928),x97973),f330(f192(f929(x97971)),x97972)))+P108(f330(f330(f332(f934(x97971,x97971)),f330(f330(f255(x97971,x97971),f330(f330(f167(x97971),x97972),x97973)),f330(f330(f167(x97971),x97974),x97973))),x97975)) % 199.49/199.85 [10040]E(x100401,f2(a1))+~P108(f330(f50(x100403,x100401),f330(f330(f255(a1,a1),x100404),x100405)))+P108(f330(f50(f330(f330(f83(a1),x100402),x100403),x100401),f330(f330(f255(a1,a1),f330(f330(f82(a1),f330(f330(f83(a1),x100402),x100404)),f330(f330(f37(a1),f330(f330(f83(a1),x100402),x100405)),x100401))),f46(a1,f330(f330(f83(a1),x100402),x100405),x100401)))) % 199.49/199.85 [10041]~P108(f330(f330(f239(a928),f2(a928)),x100413))+~P108(f330(f49(x100412,x100413),f330(f330(f255(a928,a928),x100414),x100415)))+P108(f330(f49(f330(f330(f83(a928),x100411),x100412),x100413),f330(f330(f255(a928,a928),f330(f330(f82(a928),f330(f330(f83(a928),x100411),x100414)),f330(f330(f37(a928),f330(f330(f83(a928),x100411),x100415)),x100413))),f46(a928,f330(f330(f83(a928),x100411),x100415),x100413)))) % 199.49/199.85 [10344]~P76(x103442)+~P108(f330(f62(x103441),x103444))+E(f330(f330(f6(x103441,x103442),x103443),f330(f265(x103441),f330(f330(f18(x103441,a923,a923),f330(f330(f8(a923,f935(a923,a923),x103441),a328),f330(f330(f7(x103441,f935(x103441,a923),a923),f332(x103441)),x103444))),f330(f330(f7(x103441,f935(x103441,a923),a923),f332(x103441)),x103445)))),f330(f330(f6(x103441,x103442),f330(f330(f7(x103441,x103442,x103442),f330(f330(f18(x103441,x103442,f935(x103442,x103442)),f330(f330(f8(a923,f935(x103442,f935(x103442,x103442)),x103441),f99(x103442)),f330(f330(f7(x103441,f935(x103441,a923),a923),f332(x103441)),x103445))),x103443)),f2(x103442))),x103444)) % 199.49/199.85 [8520]~E(f330(f330(f137(x85201),x85202),x85205),f330(f330(f137(x85201),x85203),x85204))+E(f330(f330(f137(x85201),f330(f330(f141(x85201),f330(f192(f929(x85201)),x85202)),x85203)),x85204),x85205)+P108(f330(f330(f238(a928),f330(f192(f929(x85201)),x85203)),f330(f192(f929(x85201)),x85202))) % 199.49/199.85 [8717]~E(f330(f330(f137(x87172),x87173),x87171),f330(f330(f137(x87172),x87174),x87175))+E(x87171,f330(f330(f137(x87172),f330(f330(f141(x87172),f330(f192(f929(x87172)),x87173)),x87174)),x87175))+~P108(f330(f330(f238(a928),f330(f192(f929(x87172)),x87173)),f330(f192(f929(x87172)),x87174))) % 199.49/199.85 [8804]~E(f330(f330(f82(a928),f330(f330(f83(a928),x88043),x88044)),x88041),f330(f330(f82(a928),f330(f330(f83(a928),x88042),x88044)),x88045))+~P108(f330(f330(f238(a928),x88043),x88042))+E(x88041,f330(f330(f82(a928),f330(f330(f83(a928),f330(f330(f23(a928),x88042),x88043)),x88044)),x88045)) % 199.49/199.85 [8805]~E(f330(f330(f82(a928),f330(f330(f83(a928),x88051),x88053)),x88054),f330(f330(f82(a928),f330(f330(f83(a928),x88052),x88053)),x88055))+~P108(f330(f330(f238(a928),x88052),x88051))+E(f330(f330(f82(a928),f330(f330(f83(a928),f330(f330(f23(a928),x88051),x88052)),x88053)),x88054),x88055) % 199.49/199.85 [8973]E(f330(f330(f82(a928),f330(f330(f83(a928),x89731),x89732)),x89733),f330(f330(f82(a928),f330(f330(f83(a928),x89734),x89732)),x89735))+~P108(f330(f330(f238(a928),x89734),x89731))+~E(x89735,f330(f330(f82(a928),f330(f330(f83(a928),f330(f330(f23(a928),x89731),x89734)),x89732)),x89733)) % 199.49/199.85 [8974]E(f330(f330(f82(a928),f330(f330(f83(a928),x89741),x89742)),x89743),f330(f330(f82(a928),f330(f330(f83(a928),x89744),x89742)),x89745))+~P108(f330(f330(f238(a928),x89744),x89741))+~E(f330(f330(f82(a928),f330(f330(f83(a928),f330(f330(f23(a928),x89741),x89744)),x89742)),x89743),x89745) % 199.49/199.85 [9850]~P66(x98502)+~P108(f330(f62(x98501),x98505))+E(f330(f330(f9(x98501,x98502),f330(f330(f18(x98501,x98502,x98502),f330(f330(f8(x98502,f935(x98502,x98502),x98501),f294(x98502)),x98503)),x98504)),x98505),f330(f330(f294(x98502),f330(f330(f9(x98501,x98502),x98503),x98505)),f330(f330(f9(x98501,x98502),x98504),x98505))) % 199.49/199.85 [9981]~E(f633(x99815,x99814,x99813,x99812,x99811),f634(x99815,x99814,x99813,x99812,x99811))+P108(f330(f330(f332(f934(x99811,x99811)),f330(f330(f255(x99811,x99811),x99812),x99813)),f310(x99811,x99814)))+~P108(f330(f330(f332(f934(x99811,x99811)),f330(f330(f255(x99811,x99811),x99812),x99813)),f310(x99811,f330(f330(f113(f935(f934(x99811,x99811),a923)),x99814),x99815)))) % 199.49/199.85 [9982]~E(f635(x99825,x99824,x99823,x99822,x99821),f636(x99825,x99824,x99823,x99822,x99821))+P108(f330(f330(f332(f934(x99821,x99821)),f330(f330(f255(x99821,x99821),x99822),x99823)),f310(x99821,x99824)))+~P108(f330(f330(f332(f934(x99821,x99821)),f330(f330(f255(x99821,x99821),x99822),x99823)),f310(x99821,f330(f330(f113(f935(f934(x99821,x99821),a923)),x99824),x99825)))) % 199.49/199.85 [10176]P108(f330(f330(f332(f934(x101761,x101761)),f330(f330(f255(x101761,x101761),x101762),f634(x101765,x101764,x101763,x101762,x101761))),f310(x101761,x101764)))+P108(f330(f330(f332(f934(x101761,x101761)),f330(f330(f255(x101761,x101761),x101762),x101763)),f310(x101761,x101764)))+~P108(f330(f330(f332(f934(x101761,x101761)),f330(f330(f255(x101761,x101761),x101762),x101763)),f310(x101761,f330(f330(f113(f935(f934(x101761,x101761),a923)),x101764),x101765)))) % 199.49/199.85 [10257]P108(f330(f330(f332(f934(x102571,x102571)),f330(f330(f255(x102571,x102571),f636(x102575,x102574,x102573,x102572,x102571)),x102573)),f310(x102571,x102574)))+P108(f330(f330(f332(f934(x102571,x102571)),f330(f330(f255(x102571,x102571),x102572),x102573)),f310(x102571,x102574)))+~P108(f330(f330(f332(f934(x102571,x102571)),f330(f330(f255(x102571,x102571),x102572),x102573)),f310(x102571,f330(f330(f113(f935(f934(x102571,x102571),a923)),x102574),x102575)))) % 199.49/199.85 [10292]P108(f330(f330(f332(f934(x102921,x102921)),f330(f330(f255(x102921,x102921),x102922),x102923)),f310(x102921,x102924)))+P108(f330(f330(f332(f934(x102921,x102921)),f330(f330(f255(x102921,x102921),f634(x102925,x102924,x102923,x102922,x102921)),f633(x102925,x102924,x102923,x102922,x102921))),x102925))+~P108(f330(f330(f332(f934(x102921,x102921)),f330(f330(f255(x102921,x102921),x102922),x102923)),f310(x102921,f330(f330(f113(f935(f934(x102921,x102921),a923)),x102924),x102925)))) % 199.49/199.85 [10293]P108(f330(f330(f332(f934(x102931,x102931)),f330(f330(f255(x102931,x102931),x102932),x102933)),f310(x102931,x102934)))+P108(f330(f330(f332(f934(x102931,x102931)),f330(f330(f255(x102931,x102931),f635(x102935,x102934,x102933,x102932,x102931)),f636(x102935,x102934,x102933,x102932,x102931))),x102935))+~P108(f330(f330(f332(f934(x102931,x102931)),f330(f330(f255(x102931,x102931),x102932),x102933)),f310(x102931,f330(f330(f113(f935(f934(x102931,x102931),a923)),x102934),x102935)))) % 199.49/199.85 [10441]~P108(f330(f330(f332(f934(f929(x104411),f929(x104411))),f330(f330(f255(f929(x104411),f929(x104411)),x104414),x104415)),f161(x104411,x104412)))+~P108(f330(f330(f332(f934(x104411,x104411)),x104413),f330(f175(f934(x104411,x104411)),f330(f330(f184(x104411,x104411),x104414),x104415))))+P108(f330(f330(f260(x104411,x104411,a923),f330(f330(f7(x104411,f935(f934(x104411,x104411),a923),f935(x104411,a923)),f330(f330(f8(f935(x104411,f935(f935(f934(x104411,x104411),a923),a923)),f935(f935(f934(x104411,x104411),a923),f935(x104411,a923)),x104411),f7(x104411,f935(f934(x104411,x104411),a923),a923)),f330(f330(f8(f935(x104411,f934(x104411,x104411)),f935(x104411,f935(f935(f934(x104411,x104411),a923),a923)),x104411),f330(f8(f934(x104411,x104411),f935(f935(f934(x104411,x104411),a923),a923),x104411),f332(f934(x104411,x104411)))),f255(x104411,x104411)))),x104412)),x104413)) % 199.49/199.85 [9880]~P108(f330(f330(f238(a928),x98803),x98802))+~P108(f330(f330(f238(a928),f330(f330(f82(a928),f330(f330(f83(a928),x98803),x98804)),x98801)),f330(f330(f82(a928),f330(f330(f83(a928),x98802),x98804)),x98805)))+P108(f330(f330(f238(a928),x98801),f330(f330(f82(a928),f330(f330(f83(a928),f330(f330(f23(a928),x98802),x98803)),x98804)),x98805))) % 199.49/199.85 [9881]~P108(f330(f330(f238(a928),x98813),x98812))+~P108(f330(f330(f239(a928),f330(f330(f82(a928),f330(f330(f83(a928),x98813),x98814)),x98811)),f330(f330(f82(a928),f330(f330(f83(a928),x98812),x98814)),x98815)))+P108(f330(f330(f239(a928),x98811),f330(f330(f82(a928),f330(f330(f83(a928),f330(f330(f23(a928),x98812),x98813)),x98814)),x98815))) % 199.49/199.85 [9898]~P108(f330(f330(f238(a928),x98981),x98984))+P108(f330(f330(f238(a928),f330(f330(f82(a928),f330(f330(f83(a928),x98981),x98982)),x98983)),f330(f330(f82(a928),f330(f330(f83(a928),x98984),x98982)),x98985)))+~P108(f330(f330(f238(a928),x98983),f330(f330(f82(a928),f330(f330(f83(a928),f330(f330(f23(a928),x98984),x98981)),x98982)),x98985))) % 199.49/199.85 [9899]~P108(f330(f330(f238(a928),x98991),x98994))+P108(f330(f330(f239(a928),f330(f330(f82(a928),f330(f330(f83(a928),x98991),x98992)),x98993)),f330(f330(f82(a928),f330(f330(f83(a928),x98994),x98992)),x98995)))+~P108(f330(f330(f239(a928),x98993),f330(f330(f82(a928),f330(f330(f83(a928),f330(f330(f23(a928),x98994),x98991)),x98992)),x98995))) % 199.49/199.85 [10015]~P108(f330(f330(f238(a928),x100152),x100151))+~P108(f330(f330(f238(a928),f330(f330(f82(a928),f330(f330(f83(a928),x100151),x100153)),x100154)),f330(f330(f82(a928),f330(f330(f83(a928),x100152),x100153)),x100155)))+P108(f330(f330(f238(a928),f330(f330(f82(a928),f330(f330(f83(a928),f330(f330(f23(a928),x100151),x100152)),x100153)),x100154)),x100155)) % 199.49/199.85 [10016]~P108(f330(f330(f238(a928),x100162),x100161))+~P108(f330(f330(f239(a928),f330(f330(f82(a928),f330(f330(f83(a928),x100161),x100163)),x100164)),f330(f330(f82(a928),f330(f330(f83(a928),x100162),x100163)),x100165)))+P108(f330(f330(f239(a928),f330(f330(f82(a928),f330(f330(f83(a928),f330(f330(f23(a928),x100161),x100162)),x100163)),x100164)),x100165)) % 199.49/199.85 [10059]~P108(f330(f330(f238(a928),x100594),x100591))+P108(f330(f330(f238(a928),f330(f330(f82(a928),f330(f330(f83(a928),x100591),x100592)),x100593)),f330(f330(f82(a928),f330(f330(f83(a928),x100594),x100592)),x100595)))+~P108(f330(f330(f238(a928),f330(f330(f82(a928),f330(f330(f83(a928),f330(f330(f23(a928),x100591),x100594)),x100592)),x100593)),x100595)) % 199.49/199.85 [10060]~P108(f330(f330(f238(a928),x100604),x100601))+P108(f330(f330(f239(a928),f330(f330(f82(a928),f330(f330(f83(a928),x100601),x100602)),x100603)),f330(f330(f82(a928),f330(f330(f83(a928),x100604),x100602)),x100605)))+~P108(f330(f330(f239(a928),f330(f330(f82(a928),f330(f330(f83(a928),f330(f330(f23(a928),x100601),x100604)),x100602)),x100603)),x100605)) % 199.49/199.85 [10280]~P11(x102801,x102802,x102805,x102803)+~P108(f330(f330(f332(f934(x102801,x102801)),x102804),x102805))+P108(f330(f330(f260(x102801,x102801,a923),f330(f330(f7(x102801,f935(x102801,x102802),f935(x102801,a923)),f330(f330(f8(f935(x102802,a923),f935(f935(x102801,x102802),f935(x102801,a923)),x102801),f8(x102802,a923,x102801)),f330(f330(f8(x102802,f935(x102802,a923),x102801),a327),x102803))),x102803)),x102804)) % 199.49/199.85 [8681]~P19(x86816,x86811,x86812,x86814)+E(f330(f74(x86811,x86811,x86811,f330(x86812,x86813)),f330(x86814,x86815)),f330(f74(x86811,x86811,x86811,f330(x86814,x86815)),f330(x86812,x86813)))+~P108(f330(f62(x86816),x86815)) % 199.49/199.85 [9117]~P25(x91171,x91173,x91175,x91176)+~P25(x91173,x91172,x91174,f330(f313(x91171,x91173,x91175),x91176))+P25(x91171,x91172,f330(f74(x91173,x91172,x91171,x91174),x91175),x91176) % 199.49/199.85 [9685]~P108(f330(f330(x96853,x96852),x96856))+~P108(f330(f330(x96854,x96855),x96852))+P108(f330(f330(f332(x96851),x96852),f303(x96851,x96853,x96854,x96855,x96856))) % 199.49/199.85 [9686]~P108(f330(f330(x96864,x96862),x96866))+~P108(f330(f330(x96863,x96865),x96862))+P108(f330(f330(f332(x96861),x96862),f300(x96861,x96863,x96864,x96865,x96866))) % 199.49/199.85 [9798]E(x97981,x97982)+E(x97983,x97984)+~P108(f330(f330(f332(f934(f929(x97985),f929(x97985))),f330(f330(f255(f929(x97985),f929(x97985)),f330(f330(f154(x97985),x97983),x97981)),f330(f330(f154(x97985),x97984),x97982))),f160(x97985,x97986))) % 199.49/199.85 [9807]~E(x98072,x98074)+P108(f330(f330(f332(f934(f929(x98071),f929(x98071))),f330(f330(f255(f929(x98071),f929(x98071)),f330(f330(f154(x98071),x98072),x98073)),f330(f330(f154(x98071),x98074),x98075))),f148(x98071,x98076)))+~P108(f330(f330(f332(f934(f929(x98071),f929(x98071))),f330(f330(f255(f929(x98071),f929(x98071)),x98073),x98075)),f148(x98071,x98076))) % 199.49/199.85 [9808]~E(x98082,x98084)+P108(f330(f330(f332(f934(f929(x98081),f929(x98081))),f330(f330(f255(f929(x98081),f929(x98081)),f330(f330(f154(x98081),x98082),x98083)),f330(f330(f154(x98081),x98084),x98085))),f150(x98081,x98086)))+~P108(f330(f330(f332(f934(f929(x98081),f929(x98081))),f330(f330(f255(f929(x98081),f929(x98081)),x98083),x98085)),f150(x98081,x98086))) % 199.49/199.85 [9809]~E(x98092,x98094)+P108(f330(f330(f332(f934(f929(x98091),f929(x98091))),f330(f330(f255(f929(x98091),f929(x98091)),f330(f330(f154(x98091),x98092),x98093)),f330(f330(f154(x98091),x98094),x98095))),f160(x98091,x98096)))+~P108(f330(f330(f332(f934(f929(x98091),f929(x98091))),f330(f330(f255(f929(x98091),f929(x98091)),x98093),x98095)),f160(x98091,x98096))) % 199.49/199.85 [9810]~E(x98102,x98104)+P108(f330(f330(f332(f934(f929(x98101),f929(x98101))),f330(f330(f255(f929(x98101),f929(x98101)),f330(f330(f137(x98101),x98102),x98103)),f330(f330(f137(x98101),x98104),x98105))),f160(x98101,x98106)))+~P108(f330(f330(f332(f934(f929(x98101),f929(x98101))),f330(f330(f255(f929(x98101),f929(x98101)),x98103),x98105)),f160(x98101,x98106))) % 199.49/199.85 [9811]~E(x98113,x98115)+P108(f330(f330(f332(f934(f929(x98111),f929(x98111))),f330(f330(f255(f929(x98111),f929(x98111)),f330(f330(f137(x98111),x98112),x98113)),f330(f330(f137(x98111),x98114),x98115))),f160(x98111,x98116)))+~P108(f330(f330(f332(f934(f929(x98111),f929(x98111))),f330(f330(f255(f929(x98111),f929(x98111)),x98112),x98114)),f160(x98111,x98116))) % 199.49/199.85 [9868]E(x98681,x98682)+P108(f330(f330(f332(f934(f929(x98683),f929(x98683))),f330(f330(f255(f929(x98683),f929(x98683)),x98681),x98682)),f160(x98683,x98684)))+~P108(f330(f330(f332(f934(f929(x98683),f929(x98683))),f330(f330(f255(f929(x98683),f929(x98683)),f330(f330(f154(x98683),x98685),x98681)),f330(f330(f154(x98683),x98686),x98682))),f160(x98683,x98684))) % 199.49/199.85 [10019]~E(x100193,x100195)+P108(f330(f330(f332(f934(f929(x100191),f929(x100191))),f330(f330(f255(f929(x100191),f929(x100191)),f330(f330(f137(x100191),x100192),f330(f330(f154(x100191),x100193),f116(x100191)))),f330(f330(f137(x100191),x100194),f330(f330(f154(x100191),x100195),f116(x100191))))),f160(x100191,x100196)))+~P108(f330(f330(f332(f934(f929(x100191),f929(x100191))),f330(f330(f255(f929(x100191),f929(x100191)),x100192),x100194)),f160(x100191,x100196))) % 199.49/199.85 [10063]E(x100631,x100632)+E(x100633,x100634)+~P108(f330(f330(f332(f934(f929(x100635),f929(x100635))),f330(f330(f255(f929(x100635),f929(x100635)),f330(f330(f137(x100635),x100633),f330(f330(f154(x100635),x100631),f116(x100635)))),f330(f330(f137(x100635),x100634),f330(f330(f154(x100635),x100632),f116(x100635))))),f160(x100635,x100636))) % 199.49/199.85 [10090]E(x100901,x100902)+~P108(f330(f330(f332(f934(f929(x100903),f929(x100903))),f330(f330(f255(f929(x100903),f929(x100903)),f330(f330(f137(x100903),x100901),f330(f330(f154(x100903),x100905),f116(x100903)))),f330(f330(f137(x100903),x100902),f330(f330(f154(x100903),x100906),f116(x100903))))),f160(x100903,x100904)))+P108(f330(f330(f332(f934(f929(x100903),f929(x100903))),f330(f330(f255(f929(x100903),f929(x100903)),x100901),x100902)),f160(x100903,x100904))) % 199.49/199.85 [10128]~P108(f330(f330(f332(f934(f935(x101281,a923),f935(x101281,a923))),f330(f330(f255(f935(x101281,a923),f935(x101281,a923)),x101282),x101284)),f321(x101281,x101286)))+~P108(f330(f330(f332(f934(f935(x101281,a923),f935(x101281,a923))),f330(f330(f255(f935(x101281,a923),f935(x101281,a923)),x101283),x101285)),f321(x101281,x101286)))+P108(f330(f330(f332(f934(f935(x101281,a923),f935(x101281,a923))),f330(f330(f255(f935(x101281,a923),f935(x101281,a923)),f330(f330(f113(f935(x101281,a923)),x101282),x101283)),f330(f330(f113(f935(x101281,a923)),x101284),x101285))),f321(x101281,x101286))) % 199.49/199.85 [5924]~E(f330(f330(f137(x59241),x59246),x59243),x59245)+E(f330(f330(f137(x59241),x59242),x59243),f330(f330(f154(x59241),x59244),x59245))+~E(x59242,f330(f330(f154(x59241),x59244),x59246)) % 199.49/199.85 [5925]~E(f330(f330(f137(x59251),x59256),x59253),x59255)+E(f330(f330(f137(x59251),x59252),x59253),f330(f330(f137(x59251),x59254),x59255))+~E(x59252,f330(f330(f137(x59251),x59254),x59256)) % 199.49/199.85 [5927]E(f330(f330(f137(x59271),x59272),x59273),f330(f330(f154(x59271),x59274),x59275))+~E(f330(f330(f154(x59271),x59274),x59276),x59272)+~E(x59275,f330(f330(f137(x59271),x59276),x59273)) % 199.49/199.85 [5929]~E(f330(f330(f137(x59291),x59292),x59296),x59294)+E(f330(f330(f137(x59291),x59292),x59293),f330(f330(f137(x59291),x59294),x59295))+~E(x59293,f330(f330(f137(x59291),x59296),x59295)) % 199.49/199.85 [7072]E(f330(x70721,x70722),f330(x70723,x70722))+~E(f330(f330(f157(x70724,x70725),x70721),x70726),f330(f330(f157(x70724,x70725),x70723),x70726))+~P108(f330(f330(f332(x70724),x70722),f330(f175(x70724),x70726))) % 199.49/199.85 [7459]~P19(x74594,x74595,x74596,x74591)+E(f330(f330(x74591,x74592),x74593),f330(f330(f65(x74594,x74595,x74596),x74593),x74592))+~P108(f330(f62(x74594),x74592)) % 199.49/199.85 [7530]~E(x75302,f330(x75304,x75306))+~P108(f330(f330(f332(x75303),x75306),x75305))+P108(f330(f330(f332(x75301),x75302),f330(f313(x75303,x75301,x75304),x75305))) % 199.49/199.85 [7531]~E(f330(x75314,x75312),x75316)+~P108(f330(f330(f332(x75313),x75316),x75315))+P108(f330(f330(f332(x75311),x75312),f330(f314(x75311,x75313,x75314),x75315))) % 199.49/199.85 [7975]~P34(x79751,x79752,x79754,x79756)+P34(x79751,x79752,f330(f330(f154(x79751),x79753),x79754),f330(f330(f154(x79751),x79755),x79756))+~P108(f330(f330(x79752,x79753),x79755)) % 199.49/199.85 [8983]~P59(x89834,x89835,x89831,x89832,x89836)+E(f330(x89831,f330(x89832,x89833)),x89833)+~P108(f330(f330(f332(x89835),x89833),x89836)) % 199.49/199.85 [9485]~P26(x94852,x94851,x94855,x94854,x94853)+E(f330(f94(x94851,x94852,x94853,f94(x94852,x94851,x94854,x94855)),x94856),f330(x94855,x94856))+~P108(f330(f330(f332(x94852),x94856),x94854)) % 199.49/199.85 [9496]~P25(x94961,x94962,x94963,x94966)+P25(x94961,x94962,f76(x94961,x94962,x94963,x94964,x94965),x94966)+P108(f330(f330(f332(x94962),x94965),f330(f313(x94961,x94962,x94963),x94966))) % 199.49/199.85 [9800]E(x98001,x98002)+E(f330(f192(f929(x98003)),x98004),f330(f192(f929(x98003)),x98005))+~P108(f330(f330(f332(f934(f929(x98003),f929(x98003))),f330(f330(f255(f929(x98003),f929(x98003)),f330(f330(f154(x98003),x98001),x98004)),f330(f330(f154(x98003),x98002),x98005))),f148(x98003,x98006))) % 199.49/199.85 [9863]~P16(x98631,x98632,x98633)+E(f330(f330(f65(x98631,x98632,x98633),x98634),x98635),x98636)+~P108(f330(f67(x98631,x98632,x98633,x98634,x98635),x98636)) % 199.49/199.85 [9871]E(f330(f192(f929(x98711)),x98712),f330(f192(f929(x98711)),x98713))+P108(f330(f330(f332(f934(f929(x98711),f929(x98711))),f330(f330(f255(f929(x98711),f929(x98711)),x98712),x98713)),f148(x98711,x98714)))+~P108(f330(f330(f332(f934(f929(x98711),f929(x98711))),f330(f330(f255(f929(x98711),f929(x98711)),f330(f330(f154(x98711),x98715),x98712)),f330(f330(f154(x98711),x98716),x98713))),f148(x98711,x98714))) % 199.49/199.85 [9892]~P108(f330(f330(f332(f934(x98921,x98921)),f330(f330(f255(x98921,x98921),x98922),x98924)),f310(x98921,x98926)))+P108(f330(f330(f332(f934(f929(x98921),f929(x98921))),f330(f330(f255(f929(x98921),f929(x98921)),f330(f330(f154(x98921),x98922),x98923)),f330(f330(f154(x98921),x98924),x98925))),f310(f929(x98921),f160(x98921,x98926))))+~P108(f330(f330(f332(f934(f929(x98921),f929(x98921))),f330(f330(f255(f929(x98921),f929(x98921)),x98923),x98925)),f310(f929(x98921),f160(x98921,x98926)))) % 199.49/199.85 [10069]~P108(f330(x100692,x100696))+~E(f330(f139(x100691,x100692),x100693),f330(f330(f154(x100691),x100694),x100695))+~P108(f330(f330(f332(x100691),x100696),f330(f175(x100691),f753(x100695,x100694,x100693,x100692,x100691)))) % 199.49/199.85 [10070]~P108(f330(x100704,x100706))+~E(f330(f330(f154(x100701),x100702),x100703),f330(f139(x100701,x100704),x100705))+~P108(f330(f330(f332(x100701),x100706),f330(f175(x100701),f756(x100705,x100704,x100703,x100702,x100701)))) % 199.49/199.85 [10380]~P76(x103802)+E(f330(f330(f6(x103801,x103802),f330(f330(f8(f935(x103803,a923),x103802,x103801),f330(f6(x103803,x103802),x103804)),f330(f330(f8(f935(x103803,a923),f935(x103803,a923),x103801),f265(x103803)),f330(f330(f8(f935(x103803,a923),f935(x103803,a923),x103801),f330(f18(x103803,a923,a923),f330(f330(f8(a923,f935(a923,a923),x103803),a328),f330(f330(f7(x103803,f935(x103803,a923),a923),f332(x103803)),x103805)))),f330(f7(x103803,x103801,a923),f330(f330(f8(x103801,f935(x103801,a923),x103803),a327),x103806)))))),f330(f313(x103803,x103801,x103806),x103805)),f330(f330(f6(x103803,x103802),x103804),x103805))+~P108(f330(f62(x103803),x103805)) % 199.49/199.85 [7130]~P110(x71303)+P108(f330(x71302,x71305))+E(f330(f139(x71301,x71302),f330(f330(f151(x71301,x71303,x71304),x71305),x71306)),f330(f139(x71301,x71302),x71306)) % 199.49/199.85 [7132]P108(f330(x71321,x71322))+~E(f169(x71323,x71321,x71324),f330(f330(f255(f929(x71323),f929(x71323)),x71325),x71326))+~P108(f330(f330(f332(x71323),x71322),f330(f175(x71323),x71325))) % 199.49/199.85 [7177]~P108(f330(x71772,x71776))+~E(f169(x71771,x71772,x71773),f330(f330(f255(f929(x71771),f929(x71771)),x71774),x71775))+~P108(f330(f330(f332(x71771),x71776),f330(f175(x71771),x71775))) % 199.49/199.85 [7839]~P14(x78391,x78392,x78393)+~P108(f330(f62(x78391),x78396))+E(f330(f330(f65(x78391,x78392,x78393),x78394),f330(f330(f312(x78391),x78395),x78396)),f330(f330(f65(x78391,x78392,x78393),f330(f330(x78393,x78395),x78394)),x78396)) % 199.49/199.85 [7892]~P110(x78922)+~P108(f330(f330(f238(x78922),f330(x78923,x78924)),f330(x78923,x78925)))+E(f330(f330(f151(x78921,x78922,x78923),x78924),f330(f330(f154(x78921),x78925),x78926)),f330(f330(f154(x78921),x78924),f330(f330(f154(x78921),x78925),x78926))) % 199.49/199.85 [8003]E(x80031,x80032)+~E(f330(f330(f257(x80033,x80034),x80031),f330(f16(f935(x80034,a923),x80033),x80035)),f330(f330(f257(x80033,x80034),x80032),f330(f16(f935(x80034,a923),x80033),x80035)))+~P108(f330(f330(f332(x80034),x80036),x80035)) % 199.49/199.85 [8068]~P14(x80681,x80682,x80683)+~P108(f330(f62(x80681),x80686))+E(f330(f330(f65(x80681,x80682,x80683),x80684),f330(f330(f312(x80681),x80685),x80686)),f330(f330(x80683,x80685),f330(f330(f65(x80681,x80682,x80683),x80684),x80686))) % 199.49/199.85 [8186]~P16(x81861,x81862,x81863)+~P108(f330(f62(x81861),x81866))+E(f330(f330(f65(x81861,x81862,x81863),f330(f330(x81863,x81864),x81865)),x81866),f330(f330(x81863,x81864),f330(f330(f65(x81861,x81862,x81863),x81865),x81866))) % 199.49/199.85 [8254]~P20(x82542,x82545,x82546,x82541)+~P108(f330(f62(x82542),x82544))+E(f330(x82541,f330(f330(f312(x82542),x82543),x82544)),f330(f74(x82545,x82545,x82545,f330(x82541,x82544)),f330(x82546,x82543))) % 199.49/199.85 [8286]~P110(x82862)+P108(f330(f330(f238(x82862),f330(x82863,x82864)),f330(x82863,x82865)))+E(f330(f330(f151(x82861,x82862,x82863),x82864),f330(f330(f154(x82861),x82865),x82866)),f330(f330(f154(x82861),x82865),f330(f330(f151(x82861,x82862,x82863),x82864),x82866))) % 199.49/199.85 [8427]~E(f330(f192(f929(x84271)),x84275),f330(f192(f929(x84272)),x84276))+~E(f330(f192(f929(x84271)),x84273),f330(f192(f929(x84272)),x84274))+E(f330(f330(f137(f934(x84271,x84272)),f330(f330(f184(x84271,x84272),x84273),x84274)),f330(f330(f184(x84271,x84272),x84275),x84276)),f330(f330(f184(x84271,x84272),f330(f330(f137(x84271),x84273),x84275)),f330(f330(f137(x84272),x84274),x84276))) % 199.49/199.85 [8538]~E(x85382,f330(f313(x85383,x85381,x85384),x85386))+P108(f330(f330(f238(f935(x85381,a923)),x85382),f330(f313(x85383,x85381,x85384),x85385)))+~P108(f330(f330(f238(f935(x85383,a923)),x85386),x85385)) % 199.49/199.85 [8640]~P110(x86405)+E(f330(x86401,x86402),f330(x86401,x86403))+E(f330(f330(f151(x86404,x86405,x86401),x86402),f330(f330(f151(x86404,x86405,x86401),x86403),x86406)),f330(f330(f151(x86404,x86405,x86401),x86403),f330(f330(f151(x86404,x86405,x86401),x86402),x86406))) % 199.49/199.85 [8813]~P108(f330(f330(f332(x88132),x88134),f330(x88136,x88133)))+~P108(f330(f330(f332(x88131),x88133),x88135))+P108(f330(f330(f332(f934(x88131,x88132)),f330(f330(f255(x88131,x88132),x88133),x88134)),f330(f330(f257(x88131,x88132),x88135),x88136))) % 199.49/199.85 [9292]~P72(x92922)+~P25(x92924,x92921,x92925,x92926)+E(f330(f330(f9(x92921,x92922),x92923),f330(f313(x92924,x92921,x92925),x92926)),f330(f330(f9(x92924,x92922),f330(f74(x92921,x92922,x92924,x92923),x92925)),x92926)) % 199.49/199.85 [9293]~P76(x92932)+~P25(x92934,x92931,x92935,x92936)+E(f330(f330(f6(x92931,x92932),x92933),f330(f313(x92934,x92931,x92935),x92936)),f330(f330(f6(x92934,x92932),f330(f74(x92931,x92932,x92934,x92933),x92935)),x92936)) % 199.49/199.85 [9340]~P36(x93402,x93405,x93401,x93403,x93406)+P108(f330(f330(x93401,f330(f330(f167(x93402),x93403),x93404)),f330(f330(f167(x93405),x93406),x93404)))+~P108(f330(f330(f239(a928),x93404),f330(f192(f929(x93405)),x93406))) % 199.49/199.85 [9341]~P36(x93412,x93415,x93411,x93413,x93416)+P108(f330(f330(x93411,f330(f330(f167(x93412),x93413),x93414)),f330(f330(f167(x93415),x93416),x93414)))+~P108(f330(f330(f239(a928),x93414),f330(f192(f929(x93412)),x93413))) % 199.49/199.85 [9352]~E(f330(f313(x93521,x93522,x93523),x93524),x93526)+E(f330(f313(x93521,x93522,x93523),f330(f313(x93522,x93521,f94(x93521,x93522,x93524,x93523)),x93525)),x93525)+~P108(f330(f330(f238(f935(x93522,a923)),x93525),x93526)) % 199.49/199.85 [9553]~P19(x95533,x95531,x95536,x95532)+~P108(f330(f62(x95533),x95534))+E(f330(f74(x95531,x95531,x95531,f330(x95532,f330(f330(f23(f935(x95533,a923)),x95534),f330(f330(f312(x95533),x95535),f191(f935(x95533,a923)))))),f330(x95536,x95535)),f330(x95532,f330(f330(f312(x95533),x95535),x95534))) % 199.49/199.85 [10157]~E(f330(f313(x101572,x101574,x101576),f245(f935(x101572,a923))),f245(f935(x101574,a923)))+~E(f330(f313(x101571,x101573,x101575),f245(f935(x101571,a923))),f245(f935(x101573,a923)))+E(f330(f313(f934(x101571,x101572),f934(x101573,x101574),f261(x101571,x101573,x101572,x101574,x101575,x101576)),f245(f935(f934(x101571,x101572),a923))),f245(f935(f934(x101573,x101574),a923))) % 199.49/199.85 [10207]~P25(x102073,x102074,x102075,f330(x102076,f573(x102076,x102075,x102074,x102073,x102072,x102071)))+P25(x102073,x102074,x102075,f330(f330(f41(x102072,f935(x102073,a923)),x102071),x102076))+E(x102071,f191(f935(x102072,a923))) % 199.49/199.85 [10264]P25(x102646,x102645,x102644,f330(f330(f41(x102642,f935(x102646,a923)),x102641),x102643))+E(x102641,f191(f935(x102642,a923)))+P108(f330(f330(f332(x102642),f573(x102643,x102644,x102645,x102646,x102642,x102641)),x102641)) % 199.49/199.85 [10269]P108(f330(f330(f332(x102691),f601(x102692,x102693,x102694,x102695,x102696,x102691)),x102696))+P108(f330(f330(f238(f935(f934(x102691,x102694),a923)),f330(f330(f257(x102691,x102694),x102696),x102693)),f330(f330(f257(x102691,x102694),x102695),x102692)))+~P108(f330(f330(f238(f935(x102691,a923)),x102696),x102695)) % 199.49/199.85 [10306]P24(x103066,x103065,f330(f330(f312(f927(x103066)),f330(f330(f330(f93(x103066),x103061),x103063),x103062)),f191(f935(f927(x103066),a923))))+~P24(x103066,x103065,f330(f330(f312(f927(x103066)),f330(f330(f330(f93(x103066),x103064),x103063),x103062)),f191(f935(f927(x103066),a923))))+P108(f330(f330(x103061,f561(x103061,x103062,x103063,x103064,x103065,x103066)),f669(x103061,x103062,x103063,x103064,x103065,x103066))) % 199.49/199.85 [10307]P24(x103076,x103075,f330(f330(f312(f927(x103076)),f330(f330(f330(f93(x103076),x103074),x103073),x103072)),f191(f935(f927(x103076),a923))))+~P24(x103076,x103075,f330(f330(f312(f927(x103076)),f330(f330(f330(f93(x103076),x103074),x103073),x103071)),f191(f935(f927(x103076),a923))))+P108(f330(f330(x103071,f785(x103072,x103071,x103073,x103074,x103075,x103076)),f880(x103072,x103071,x103073,x103074,x103075,x103076))) % 199.49/199.85 [10349]~P24(x103491,x103492,f330(f330(f312(f927(x103491)),f330(f330(f330(f93(x103491),x103493),x103494),x103496)),f191(f935(f927(x103491),a923))))+P24(x103491,x103492,f330(f330(f312(f927(x103491)),f330(f330(f330(f93(x103491),x103493),x103494),x103495)),f191(f935(f927(x103491),a923))))+~P108(f330(f330(x103495,f785(x103495,x103496,x103494,x103493,x103492,x103491)),f880(x103495,x103496,x103494,x103493,x103492,x103491))) % 199.49/199.85 [10350]~P24(x103501,x103502,f330(f330(f312(f927(x103501)),f330(f330(f330(f93(x103501),x103506),x103504),x103505)),f191(f935(f927(x103501),a923))))+P24(x103501,x103502,f330(f330(f312(f927(x103501)),f330(f330(f330(f93(x103501),x103503),x103504),x103505)),f191(f935(f927(x103501),a923))))+~P108(f330(f330(x103506,f561(x103503,x103505,x103504,x103506,x103502,x103501)),f669(x103503,x103505,x103504,x103506,x103502,x103501))) % 199.49/199.85 [10394]~P108(f330(f330(f238(f935(x103942,a923)),f330(x103944,f601(x103946,x103944,x103942,x103945,x103943,x103941))),f330(x103946,f601(x103946,x103944,x103942,x103945,x103943,x103941))))+~P108(f330(f330(f238(f935(x103941,a923)),x103943),x103945))+P108(f330(f330(f238(f935(f934(x103941,x103942),a923)),f330(f330(f257(x103941,x103942),x103943),x103944)),f330(f330(f257(x103941,x103942),x103945),x103946))) % 199.49/199.85 [8025]~P108(f330(x80251,x80255))+~P108(f330(x80256,x80254))+P108(f330(x80251,f330(f259(x80252,x80253),f330(f330(f255(x80252,x80253),x80254),x80255)))) % 199.49/199.85 [8026]~P108(f330(x80261,x80264))+~P108(f330(x80266,x80265))+P108(f330(x80261,f330(f254(x80262,x80263),f330(f330(f255(x80262,x80263),x80264),x80265)))) % 199.49/199.85 [8073]~P108(f330(f330(x80734,x80736),x80735))+~P108(f330(f330(f332(x80731),x80736),x80733))+P108(f330(f330(f330(f40(x80731,f935(x80732,a923)),x80733),x80734),x80735)) % 199.49/199.85 [8379]~P108(f330(f330(f332(x83791),x83792),f330(x83795,x83796)))+~P108(f330(f330(f332(x83793),x83796),x83794))+P108(f330(f330(f332(x83791),x83792),f330(f330(f40(x83793,f935(x83791,a923)),x83794),x83795))) % 199.49/199.85 [8421]P108(f330(f330(x84211,x84212),x84213))+~P108(f330(f330(x84214,x84212),x84213))+~P108(f330(f330(f238(f935(x84215,f935(x84216,a923))),x84214),x84211)) % 199.49/199.85 [8562]P108(f330(f330(x85621,x85622),x85623))+~P108(f330(f330(f332(x85624),x85622),x85625))+~P108(f330(f330(f330(f41(x85624,f935(x85626,a923)),x85625),x85621),x85623)) % 199.49/199.85 [8696]P108(f330(f330(f332(x86961),x86962),f330(x86963,x86964)))+~P108(f330(f330(f332(x86965),x86964),x86966))+~P108(f330(f330(f332(x86961),x86962),f330(f330(f41(x86965,f935(x86961,a923)),x86966),x86963))) % 199.49/199.85 [8962]~P11(x89624,x89625,x89626,x89621)+E(f330(x89621,x89622),f330(x89621,x89623))+~P108(f330(f330(f332(f934(x89624,x89624)),f330(f330(f255(x89624,x89624),x89622),x89623)),x89626)) % 199.49/199.85 [8997]P108(f330(f330(f238(f935(x89971,a923)),x89972),f330(x89973,x89974)))+~P108(f330(f330(f332(x89975),x89974),x89976))+~P108(f330(f330(f238(f935(x89971,a923)),x89972),f330(f330(f41(x89975,f935(x89971,a923)),x89976),x89973))) % 199.49/199.85 [9030]~P57(x90303,x90304,f330(f289(x90304,x90303),x90305))+E(x90301,f191(f935(x90302,a923)))+E(f330(f330(f41(x90302,f935(x90303,a923)),x90301),f330(f330(f8(f935(x90304,a923),f935(x90303,a923),x90302),f288(x90304,x90303,x90305)),x90306)),f330(f288(x90304,x90303,x90305),f330(f330(f41(x90302,f935(x90304,a923)),x90301),x90306))) % 199.49/199.85 [9108]P108(f330(f330(f332(x91081),x91082),f330(f288(x91083,x91081,x91084),x91085)))+~P108(f330(f330(f332(x91083),x91086),x91085))+~P108(f330(f330(f332(f934(x91083,x91081)),f330(f330(f255(x91083,x91081),x91086),x91082)),x91084)) % 199.49/199.85 [9418]P108(f330(f330(f238(f935(x94181,a923)),f330(f288(x94182,x94181,x94183),x94184)),f330(f288(x94182,x94181,x94185),x94186)))+~P108(f330(f330(f238(f935(x94182,a923)),x94184),x94186))+~P108(f330(f330(f238(f935(f934(x94182,x94181),a923)),x94183),x94185)) % 199.49/199.85 [9602]~P108(f330(f330(f332(x96022),x96026),x96024))+~P108(f330(f330(f238(f935(x96021,a923)),x96023),x96025))+P108(f330(f330(f238(f935(f934(x96021,x96022),a923)),f330(f330(f257(x96021,x96022),x96023),f330(f16(f935(x96022,a923),x96021),x96024))),f330(f330(f257(x96021,x96022),x96025),f330(f16(f935(x96022,a923),x96021),x96024)))) % 199.49/199.85 [9614]~P36(x96141,x96142,x96143,x96145,x96146)+P108(f330(f330(f260(x96141,x96142,a923),x96143),x96144))+~P108(f330(f330(f332(f934(x96141,x96142)),x96144),f330(f175(f934(x96141,x96142)),f330(f330(f184(x96141,x96142),x96145),x96146)))) % 199.49/199.85 [9754]~E(x97543,x97545)+P108(f330(f330(f332(f934(f929(x97541),f929(x97541))),f330(f330(f255(f929(x97541),f929(x97541)),f330(f330(f154(x97541),x97542),x97543)),f330(f330(f154(x97541),x97544),x97545))),f160(x97541,x97546)))+~P108(f330(f330(f332(f934(x97541,x97541)),f330(f330(f255(x97541,x97541),x97542),x97544)),x97546)) % 199.49/199.85 [9760]~E(f330(f192(f929(x97601)),x97603),f330(f192(f929(x97601)),x97605))+P108(f330(f330(f332(f934(f929(x97601),f929(x97601))),f330(f330(f255(f929(x97601),f929(x97601)),f330(f330(f154(x97601),x97602),x97603)),f330(f330(f154(x97601),x97604),x97605))),f148(x97601,x97606)))+~P108(f330(f330(f332(f934(x97601,x97601)),f330(f330(f255(x97601,x97601),x97602),x97604)),x97606)) % 199.49/199.85 [9792]P108(f330(f330(f332(f934(x97921,x97921)),f330(f330(f255(x97921,x97921),x97922),x97923)),f330(f330(f186(f934(x97921,x97921),a923),f330(a115,x97924)),x97925)))+~P108(f330(f330(f332(f934(x97921,x97921)),f330(f330(f255(x97921,x97921),x97926),x97923)),x97925))+~P108(f330(f330(f332(f934(x97921,x97921)),f330(f330(f255(x97921,x97921),x97922),x97926)),f330(f330(f186(f934(x97921,x97921),a923),x97924),x97925))) % 199.49/199.85 [9793]P108(f330(f330(f332(f934(x97931,x97931)),f330(f330(f255(x97931,x97931),x97932),x97933)),f330(f330(f186(f934(x97931,x97931),a923),f330(a115,x97934)),x97935)))+~P108(f330(f330(f332(f934(x97931,x97931)),f330(f330(f255(x97931,x97931),x97932),x97936)),x97935))+~P108(f330(f330(f332(f934(x97931,x97931)),f330(f330(f255(x97931,x97931),x97936),x97933)),f330(f330(f186(f934(x97931,x97931),a923),x97934),x97935))) % 199.49/199.85 [9796]~P108(f330(f330(f332(x97964),x97965),x97966))+P108(f330(f330(f238(f935(x97961,a923)),x97962),x97963))+~P108(f330(f330(f238(f935(f934(x97961,x97964),a923)),f330(f330(f257(x97961,x97964),x97962),f330(f16(f935(x97964,a923),x97961),x97966))),f330(f330(f257(x97961,x97964),x97963),f330(f16(f935(x97964,a923),x97961),x97966)))) % 199.49/199.85 [9841]E(x98411,x98412)+~P108(f330(f330(f332(f934(f929(x98413),f929(x98413))),f330(f330(f255(f929(x98413),f929(x98413)),f330(f330(f154(x98413),x98411),x98415)),f330(f330(f154(x98413),x98412),x98416))),f148(x98413,x98414)))+P108(f330(f330(f332(f934(x98413,x98413)),f330(f330(f255(x98413,x98413),x98411),x98412)),x98414)) % 199.49/199.85 [9842]E(x98421,x98422)+~P108(f330(f330(f332(f934(f929(x98423),f929(x98423))),f330(f330(f255(f929(x98423),f929(x98423)),f330(f330(f154(x98423),x98421),x98425)),f330(f330(f154(x98423),x98422),x98426))),f150(x98423,x98424)))+P108(f330(f330(f332(f934(x98423,x98423)),f330(f330(f255(x98423,x98423),x98421),x98422)),x98424)) % 199.49/199.85 [9843]E(x98431,x98432)+~P108(f330(f330(f332(f934(f929(x98433),f929(x98433))),f330(f330(f255(f929(x98433),f929(x98433)),f330(f330(f154(x98433),x98431),x98435)),f330(f330(f154(x98433),x98432),x98436))),f160(x98433,x98434)))+P108(f330(f330(f332(f934(x98433,x98433)),f330(f330(f255(x98433,x98433),x98431),x98432)),x98434)) % 199.49/199.85 [9879]P108(f330(f330(f332(f934(f929(x98791),f929(x98791))),f330(f330(f255(f929(x98791),f929(x98791)),f330(f330(f154(x98791),x98792),x98793)),f330(f330(f154(x98791),x98794),x98795))),f161(x98791,x98796)))+~P108(f330(f330(f332(f934(f929(x98791),f929(x98791))),f330(f330(f255(f929(x98791),f929(x98791)),x98793),x98795)),f161(x98791,x98796)))+~P108(f330(f330(f332(f934(x98791,x98791)),f330(f330(f255(x98791,x98791),x98792),x98794)),x98796)) % 199.49/199.85 [9896]P108(f330(x98961,x98962))+~P108(f330(x98961,f901(x98961,x98963,x98964,x98965,x98966)))+~P108(f330(f330(f332(x98966),x98962),f330(f330(f40(x98965,f935(x98966,a923)),x98964),x98963))) % 199.49/199.85 [9901]~P108(f330(f330(f332(f934(f929(x99011),f929(x99011))),f330(f330(f255(f929(x99011),f929(x99011)),f330(f330(f154(x99011),x99012),x99015)),f330(f330(f154(x99011),x99013),x99016))),f148(x99011,x99014)))+P108(f330(f330(f332(f934(f929(x99011),f929(x99011))),f330(f330(f255(f929(x99011),f929(x99011)),x99015),x99016)),f148(x99011,x99014)))+P108(f330(f330(f332(f934(x99011,x99011)),f330(f330(f255(x99011,x99011),x99012),x99013)),x99014)) % 199.49/199.85 [9902]~P108(f330(f330(f332(f934(f929(x99021),f929(x99021))),f330(f330(f255(f929(x99021),f929(x99021)),f330(f330(f154(x99021),x99022),x99025)),f330(f330(f154(x99021),x99023),x99026))),f150(x99021,x99024)))+P108(f330(f330(f332(f934(f929(x99021),f929(x99021))),f330(f330(f255(f929(x99021),f929(x99021)),x99025),x99026)),f150(x99021,x99024)))+P108(f330(f330(f332(f934(x99021,x99021)),f330(f330(f255(x99021,x99021),x99022),x99023)),x99024)) % 199.49/199.85 [9903]~P108(f330(f330(f332(f934(f929(x99031),f929(x99031))),f330(f330(f255(f929(x99031),f929(x99031)),f330(f330(f154(x99031),x99032),x99035)),f330(f330(f154(x99031),x99033),x99036))),f160(x99031,x99034)))+P108(f330(f330(f332(f934(f929(x99031),f929(x99031))),f330(f330(f255(f929(x99031),f929(x99031)),x99035),x99036)),f160(x99031,x99034)))+P108(f330(f330(f332(f934(x99031,x99031)),f330(f330(f255(x99031,x99031),x99032),x99033)),x99034)) % 199.49/199.85 [9992]P108(f330(x99921,x99922))+P108(f330(f330(f332(x99923),f902(x99921,x99924,x99925,x99923,x99926)),x99925))+~P108(f330(f330(f332(x99926),x99922),f330(f330(f40(x99923,f935(x99926,a923)),x99925),x99924))) % 199.49/199.85 [10003]~E(x100032,x100034)+P108(f330(f330(f332(f934(f929(x100031),f929(x100031))),f330(f330(f255(f929(x100031),f929(x100031)),f330(f330(f137(x100031),x100032),f330(f330(f154(x100031),x100033),f116(x100031)))),f330(f330(f137(x100031),x100034),f330(f330(f154(x100031),x100035),f116(x100031))))),f160(x100031,x100036)))+~P108(f330(f330(f332(f934(x100031,x100031)),f330(f330(f255(x100031,x100031),x100033),x100035)),x100036)) % 199.49/199.85 [10078]E(x100781,x100782)+~P108(f330(f330(f332(f934(f929(x100783),f929(x100783))),f330(f330(f255(f929(x100783),f929(x100783)),f330(f330(f137(x100783),x100785),f330(f330(f154(x100783),x100781),f116(x100783)))),f330(f330(f137(x100783),x100786),f330(f330(f154(x100783),x100782),f116(x100783))))),f160(x100783,x100784)))+P108(f330(f330(f332(f934(x100783,x100783)),f330(f330(f255(x100783,x100783),x100781),x100782)),x100784)) % 199.49/199.85 [10109]~P108(f330(f330(f332(f934(f929(x101091),f929(x101091))),f330(f330(f255(f929(x101091),f929(x101091)),f330(f330(f137(x101091),x101095),f330(f330(f154(x101091),x101092),f116(x101091)))),f330(f330(f137(x101091),x101096),f330(f330(f154(x101091),x101093),f116(x101091))))),f160(x101091,x101094)))+P108(f330(f330(f332(f934(f929(x101091),f929(x101091))),f330(f330(f255(f929(x101091),f929(x101091)),x101095),x101096)),f160(x101091,x101094)))+P108(f330(f330(f332(f934(x101091,x101091)),f330(f330(f255(x101091,x101091),x101092),x101093)),x101094)) % 199.49/199.85 [10129]P108(f330(x101291,x101292))+P108(f330(f330(f332(x101293),f901(x101291,x101294,x101295,x101296,x101293)),f330(x101294,f902(x101291,x101294,x101295,x101296,x101293))))+~P108(f330(f330(f332(x101293),x101292),f330(f330(f40(x101296,f935(x101293,a923)),x101295),x101294))) % 199.49/199.85 [10273]P108(f330(f330(f332(x102731),f849(x102732,x102733,x102734,x102735,x102736,x102731)),x102735))+~P108(f330(f330(f238(f935(x102731,a923)),x102736),x102735))+P108(f330(f330(f238(f935(x102734,a923)),f330(f330(f41(x102731,f935(x102734,a923)),x102735),x102733)),f330(f330(f41(x102731,f935(x102734,a923)),x102735),x102732))) % 199.49/199.85 [10395]~P108(f330(f330(f238(f935(x103951,a923)),f330(x103954,f849(x103955,x103954,x103951,x103953,x103956,x103952))),f330(x103955,f849(x103955,x103954,x103951,x103953,x103956,x103952))))+~P108(f330(f330(f238(f935(x103952,a923)),x103956),x103953))+P108(f330(f330(f238(f935(x103951,a923)),f330(f330(f41(x103952,f935(x103951,a923)),x103953),x103954)),f330(f330(f41(x103952,f935(x103951,a923)),x103953),x103955))) % 199.49/199.85 [9128]~P16(x91283,x91284,x91281)+~P108(f330(f62(x91283),x91286))+E(f330(f330(x91281,x91282),f330(f330(f65(x91283,x91284,x91281),x91285),f330(f330(f23(f935(x91283,a923)),x91286),f330(f330(f312(x91283),x91282),f191(f935(x91283,a923)))))),f330(f330(f65(x91283,x91284,x91281),x91285),f330(f330(f312(x91283),x91282),x91286))) % 199.49/199.85 [9427]~P108(f330(f330(f332(x94275),x94273),x94276))+P108(f330(f330(f238(f935(x94271,a923)),f330(x94272,x94273)),x94274))+~P108(f330(f330(f238(f935(x94271,a923)),f330(f330(f40(x94275,f935(x94271,a923)),x94276),x94272)),x94274)) % 199.49/199.85 [10052]~P8(x100521,x100525,x100524)+P108(f330(f330(f332(f934(x100521,x100521)),f330(f330(f255(x100521,x100521),x100522),x100523)),x100524))+~P108(f330(f330(f332(x100521),x100526),f330(f330(f104(f935(x100521,a923)),f330(f288(x100521,x100521,x100524),f330(f330(f312(x100521),x100522),f191(f935(x100521,a923))))),f330(f288(x100521,x100521,x100524),f330(f330(f312(x100521),x100523),f191(f935(x100521,a923))))))) % 199.49/199.85 [8850]~P132(x88502)+~E(f330(f330(f82(x88502),f330(f330(f83(x88502),x88504),x88505)),x88501),f330(f330(f82(x88502),f330(f330(f83(x88502),x88503),x88505)),x88506))+E(x88501,f330(f330(f82(x88502),f330(f330(f83(x88502),f330(f330(f23(x88502),x88503),x88504)),x88505)),x88506)) % 199.49/199.85 [8851]~P132(x88511)+~E(f330(f330(f82(x88511),f330(f330(f83(x88511),x88512),x88514)),x88515),f330(f330(f82(x88511),f330(f330(f83(x88511),x88513),x88514)),x88516))+E(f330(f330(f82(x88511),f330(f330(f83(x88511),f330(f330(f23(x88511),x88512),x88513)),x88514)),x88515),x88516) % 199.49/199.85 [9033]~P132(x90331)+E(f330(f330(f82(x90331),f330(f330(f83(x90331),x90332),x90333)),x90334),f330(f330(f82(x90331),f330(f330(f83(x90331),x90335),x90333)),x90336))+~E(x90336,f330(f330(f82(x90331),f330(f330(f83(x90331),f330(f330(f23(x90331),x90332),x90335)),x90333)),x90334)) % 199.49/199.85 [9034]~P132(x90341)+E(f330(f330(f82(x90341),f330(f330(f83(x90341),x90342),x90343)),x90344),f330(f330(f82(x90341),f330(f330(f83(x90341),x90345),x90343)),x90346))+~E(f330(f330(f82(x90341),f330(f330(f83(x90341),f330(f330(f23(x90341),x90342),x90345)),x90343)),x90344),x90346) % 199.49/199.85 [9364]~P108(f330(f330(x93644,x93645),x93646))+~P108(f330(f330(x93643,x93645),x93646))+P108(f330(f330(f330(f330(f104(f935(x93641,f935(x93642,a923))),x93643),x93644),x93645),x93646)) % 199.49/199.85 [9623]P108(f330(f330(x96231,x96232),x96233))+P108(f330(f330(x96234,x96232),x96233))+~P108(f330(f330(f330(f330(f113(f935(x96235,f935(x96236,a923))),x96234),x96231),x96232),x96233)) % 199.49/199.85 [9916]~P133(x99161)+~P108(f330(f330(f238(x99161),f330(f330(f82(x99161),f330(f330(f83(x99161),x99164),x99165)),x99162)),f330(f330(f82(x99161),f330(f330(f83(x99161),x99163),x99165)),x99166)))+P108(f330(f330(f238(x99161),x99162),f330(f330(f82(x99161),f330(f330(f83(x99161),f330(f330(f23(x99161),x99163),x99164)),x99165)),x99166))) % 199.49/199.85 [9917]~P133(x99171)+~P108(f330(f330(f239(x99171),f330(f330(f82(x99171),f330(f330(f83(x99171),x99174),x99175)),x99172)),f330(f330(f82(x99171),f330(f330(f83(x99171),x99173),x99175)),x99176)))+P108(f330(f330(f239(x99171),x99172),f330(f330(f82(x99171),f330(f330(f83(x99171),f330(f330(f23(x99171),x99173),x99174)),x99175)),x99176))) % 199.49/199.85 [9940]~P133(x99401)+P108(f330(f330(f238(x99401),f330(f330(f82(x99401),f330(f330(f83(x99401),x99402),x99403)),x99404)),f330(f330(f82(x99401),f330(f330(f83(x99401),x99405),x99403)),x99406)))+~P108(f330(f330(f238(x99401),x99404),f330(f330(f82(x99401),f330(f330(f83(x99401),f330(f330(f23(x99401),x99405),x99402)),x99403)),x99406))) % 199.49/199.85 [9941]~P133(x99411)+P108(f330(f330(f239(x99411),f330(f330(f82(x99411),f330(f330(f83(x99411),x99412),x99413)),x99414)),f330(f330(f82(x99411),f330(f330(f83(x99411),x99415),x99413)),x99416)))+~P108(f330(f330(f239(x99411),x99414),f330(f330(f82(x99411),f330(f330(f83(x99411),f330(f330(f23(x99411),x99415),x99412)),x99413)),x99416))) % 199.49/199.85 [10044]~P133(x100441)+~P108(f330(f330(f238(x100441),f330(f330(f82(x100441),f330(f330(f83(x100441),x100442),x100444)),x100445)),f330(f330(f82(x100441),f330(f330(f83(x100441),x100443),x100444)),x100446)))+P108(f330(f330(f238(x100441),f330(f330(f82(x100441),f330(f330(f83(x100441),f330(f330(f23(x100441),x100442),x100443)),x100444)),x100445)),x100446)) % 199.49/199.85 [10045]~P133(x100451)+~P108(f330(f330(f239(x100451),f330(f330(f82(x100451),f330(f330(f83(x100451),x100452),x100454)),x100455)),f330(f330(f82(x100451),f330(f330(f83(x100451),x100453),x100454)),x100456)))+P108(f330(f330(f239(x100451),f330(f330(f82(x100451),f330(f330(f83(x100451),f330(f330(f23(x100451),x100452),x100453)),x100454)),x100455)),x100456)) % 199.49/199.85 [10092]~P133(x100921)+P108(f330(f330(f238(x100921),f330(f330(f82(x100921),f330(f330(f83(x100921),x100922),x100923)),x100924)),f330(f330(f82(x100921),f330(f330(f83(x100921),x100925),x100923)),x100926)))+~P108(f330(f330(f238(x100921),f330(f330(f82(x100921),f330(f330(f83(x100921),f330(f330(f23(x100921),x100922),x100925)),x100923)),x100924)),x100926)) % 199.49/199.85 [10093]~P133(x100931)+P108(f330(f330(f239(x100931),f330(f330(f82(x100931),f330(f330(f83(x100931),x100932),x100933)),x100934)),f330(f330(f82(x100931),f330(f330(f83(x100931),x100935),x100933)),x100936)))+~P108(f330(f330(f239(x100931),f330(f330(f82(x100931),f330(f330(f83(x100931),f330(f330(f23(x100931),x100932),x100935)),x100933)),x100934)),x100936)) % 199.49/199.85 [10258]~P76(x102582)+~P108(f330(f62(x102581),x102586))+E(f330(f330(f6(x102581,x102582),f330(f330(f18(x102581,x102582,x102582),f330(f330(f18(x102581,x102582,f935(x102582,x102582)),f330(f330(f8(a923,f935(x102582,f935(x102582,x102582)),x102581),f99(x102582)),x102583)),x102584)),x102585)),x102586),f330(f330(f82(x102582),f330(f330(f6(x102581,x102582),x102584),f330(f330(f104(f935(x102581,a923)),x102586),f330(f265(x102581),x102583)))),f330(f330(f6(x102581,x102582),x102585),f330(f330(f104(f935(x102581,a923)),x102586),f330(f81(f935(x102581,a923)),f330(f265(x102581),x102583)))))) % 199.49/199.85 [10317]P108(f330(f330(f332(x103172),x103174),x103176))+P108(f330(f330(f332(x103172),x103175),x103176))+E(f330(f314(x103171,x103172,f330(f330(f7(x103171,x103172,x103172),f330(f330(f7(x103171,x103172,f935(x103172,x103172)),f330(f330(f8(a923,f935(x103172,f935(x103172,x103172)),x103171),f99(x103172)),f330(f330(f7(x103171,f935(x103171,a923),a923),f332(x103171)),x103173))),x103174)),x103175)),x103176),f191(f935(x103171,a923))) % 199.49/199.85 [10318]P108(f330(f330(f332(x103182),x103185),x103186))+~P108(f330(f330(f332(x103182),x103184),x103186))+E(f330(f314(x103181,x103182,f330(f330(f7(x103181,x103182,x103182),f330(f330(f7(x103181,x103182,f935(x103182,x103182)),f330(f330(f8(a923,f935(x103182,f935(x103182,x103182)),x103181),f99(x103182)),f330(f330(f7(x103181,f935(x103181,a923),a923),f332(x103181)),x103183))),x103184)),x103185)),x103186),x103183) % 199.49/199.85 [10319]P108(f330(f330(f332(x103192),x103194),x103196))+~P108(f330(f330(f332(x103192),x103195),x103196))+E(f330(f314(x103191,x103192,f330(f330(f7(x103191,x103192,x103192),f330(f330(f7(x103191,x103192,f935(x103192,x103192)),f330(f330(f8(a923,f935(x103192,f935(x103192,x103192)),x103191),f99(x103192)),f330(f330(f7(x103191,f935(x103191,a923),a923),f332(x103191)),x103193))),x103194)),x103195)),x103196),f330(f81(f935(x103191,a923)),x103193)) % 199.49/199.85 [10320]~P108(f330(f330(f332(x103202),x103204),x103206))+~P108(f330(f330(f332(x103202),x103205),x103206))+E(f330(f314(x103201,x103202,f330(f330(f7(x103201,x103202,x103202),f330(f330(f7(x103201,x103202,f935(x103202,x103202)),f330(f330(f8(a923,f935(x103202,f935(x103202,x103202)),x103201),f99(x103202)),f330(f330(f7(x103201,f935(x103201,a923),a923),f332(x103201)),x103203))),x103204)),x103205)),x103206),f245(f935(x103201,a923))) % 199.49/199.85 [8883]E(x88831,x88832)+~P59(x88834,x88835,x88833,x88836,x88837)+~E(f330(x88833,x88831),f330(x88833,x88832)) % 199.49/199.85 [8912]~P10(x89126,x89125,x89127,x89124,x89121)+E(f330(f330(x89121,x89122),x89123),x89124)+P108(f330(f62(x89125),x89123)) % 199.49/199.85 [9783]P44(x97831,x97832,x97833,x97834,x97835,f330(f330(x97833,x97836),x97837))+~E(f330(f330(x97833,x97836),x97837),x97834)+~E(x97835,f191(f935(x97831,a923))) % 199.49/199.85 [9962]~P108(f330(x99626,x99623))+~P108(f330(f330(f332(f934(x99622,x99622)),f330(f330(f255(x99622,x99622),x99624),x99625)),f330(x99627,x99623)))+P108(f330(f330(f332(f934(f934(x99621,x99622),f934(x99621,x99622))),f330(f330(f255(f934(x99621,x99622),f934(x99621,x99622)),f330(f330(f255(x99621,x99622),x99623),x99624)),f330(f330(f255(x99621,x99622),x99623),x99625))),f283(x99621,x99622,x99626,x99627))) % 199.49/199.85 [10383]~P44(x103832,x103837,x103833,x103836,x103831,f330(f330(x103833,x103835),x103834))+E(f330(f330(x103833,f505(x103834,x103835,x103831,x103836,x103833,x103837,x103832)),f514(x103834,x103835,x103831,x103836,x103833,x103837,x103832)),f330(f330(x103833,x103835),x103834))+E(x103831,f191(f935(x103832,a923))) % 199.49/199.85 [10384]~P44(x103847,x103846,x103841,x103844,x103845,f330(f330(x103841,x103842),x103843))+E(f330(f330(x103841,f505(x103843,x103842,x103845,x103844,x103841,x103846,x103847)),f514(x103843,x103842,x103845,x103844,x103841,x103846,x103847)),f330(f330(x103841,x103842),x103843))+E(f330(f330(x103841,x103842),x103843),x103844) % 199.49/199.85 [9460]~P36(x94601,x94602,x94603,x94605,x94607)+P36(x94601,x94602,x94603,f330(f330(f154(x94601),x94604),x94605),f330(f330(f154(x94602),x94606),x94607))+~P108(f330(f330(x94603,x94604),x94606)) % 199.49/199.85 [9478]P36(x94781,x94782,x94783,x94784,x94785)+~P36(x94781,x94782,x94783,f330(f330(f137(x94781),x94786),x94784),f330(f330(f137(x94782),x94787),x94785))+~E(f330(f192(f929(x94781)),x94786),f330(f192(f929(x94782)),x94787)) % 199.49/199.85 [9479]P36(x94791,x94792,x94793,x94794,x94795)+~P36(x94791,x94792,x94793,f330(f330(f137(x94791),x94794),x94796),f330(f330(f137(x94792),x94795),x94797))+~E(f330(f192(f929(x94791)),x94794),f330(f192(f929(x94792)),x94795)) % 199.49/199.85 [9689]~P36(x96891,x96892,x96893,x96895,x96897)+~P36(x96891,x96892,x96893,x96894,x96896)+P36(x96891,x96892,x96893,f330(f330(f137(x96891),x96894),x96895),f330(f330(f137(x96892),x96896),x96897)) % 199.49/199.85 [10037]~P108(f330(f67(x100371,x100374,x100375,x100376,x100373),x100377))+P108(f330(f67(x100371,x100374,x100375,x100376,f330(f330(f312(x100371),x100372),x100373)),f330(f330(x100375,x100372),x100377)))+P108(f330(f330(f332(x100371),x100372),x100373)) % 199.49/199.85 [10411]~P44(x104112,x104117,x104116,x104115,x104111,f330(f330(x104116,x104114),x104113))+E(x104111,f191(f935(x104112,a923)))+P108(f330(f330(f332(x104112),f505(x104113,x104114,x104111,x104115,x104116,x104117,x104112)),x104111)) % 199.49/199.85 [10412]~P44(x104125,x104127,x104121,x104124,x104126,f330(f330(x104121,x104122),x104123))+E(f330(f330(x104121,x104122),x104123),x104124)+P108(f330(f330(f332(x104125),f505(x104123,x104122,x104126,x104124,x104121,x104127,x104125)),x104126)) % 199.49/199.85 [10503]E(f330(f330(f255(x105031,x105032),x105033),x105034),f330(f330(f255(x105031,x105032),x105035),x105036))+P108(f330(f330(f332(f934(f934(x105031,x105032),f934(x105031,x105032))),f330(f330(f255(f934(x105031,x105032),f934(x105031,x105032)),f330(f330(f255(x105031,x105032),f851(x105037,x105034,x105033,x105036,x105035,x105032,x105031)),f852(x105037,x105034,x105033,x105036,x105035,x105032,x105031))),f330(f330(f255(x105031,x105032),x105033),x105034))),f310(f934(x105031,x105032),x105037)))+~P108(f330(f330(f332(f934(f934(x105031,x105032),f934(x105031,x105032))),f330(f330(f255(f934(x105031,x105032),f934(x105031,x105032)),f330(f330(f255(x105031,x105032),x105035),x105036)),f330(f330(f255(x105031,x105032),x105033),x105034))),f310(f934(x105031,x105032),x105037))) % 199.49/199.85 [9154]~P21(x91544,x91545,x91546,x91547,x91541)+~P108(f330(f62(x91545),x91543))+E(f330(f330(x91541,x91542),x91543),f330(f330(f330(f66(x91544,x91545,x91546),x91542),x91547),x91543)) % 199.49/199.85 [9155]~P10(x91554,x91555,x91556,x91557,x91551)+~P108(f330(f62(x91555),x91553))+E(f330(f330(x91551,x91552),x91553),f330(f330(f330(f66(x91554,x91555,x91556),x91552),x91557),x91553)) % 199.49/199.85 [9747]~P24(x97471,x97472,f330(f330(f312(f927(x97471)),f330(f330(f330(f93(x97471),x97473),x97474),x97477)),f191(f935(f927(x97471),a923))))+P24(x97471,x97472,f330(f330(f312(f927(x97471)),f330(f330(f330(f93(x97471),x97473),f31(x97474,x97475)),x97476)),f191(f935(f927(x97471),a923))))+~P24(x97471,x97472,f330(f330(f312(f927(x97471)),f330(f330(f330(f93(x97471),x97477),x97475),x97476)),f191(f935(f927(x97471),a923)))) % 199.49/199.85 [9935]~P23(x99353,x99354,x99355,x99357,x99356,x99351)+~P108(f330(f62(x99354),x99352))+E(f330(x99351,x99352),f330(f330(f330(f66(x99353,x99354,x99355),x99356),x99357),x99352)) % 199.49/199.85 [10087]P44(x100871,x100872,x100873,x100874,x100875,f330(f330(x100873,x100876),x100877))+~P44(x100871,x100872,x100873,x100874,f330(f330(f23(f935(x100871,a923)),x100875),f330(f330(f312(x100871),x100876),f191(f935(x100871,a923)))),x100877)+~P108(f330(f330(f332(x100871),x100876),x100875)) % 199.49/199.85 [10351]~P24(x103511,x103512,f330(f330(f312(f927(x103511)),f330(f330(f330(f93(x103511),f95(x103511,x103513,x103514)),x103515),x103517)),f191(f935(f927(x103511),a923))))+P24(x103511,x103512,f330(f330(f312(f927(x103511)),f330(f330(f330(f93(x103511),x103513),f28(x103514,x103515,x103516)),x103517)),f191(f935(f927(x103511),a923))))+~P24(x103511,x103512,f330(f330(f312(f927(x103511)),f330(f330(f330(f93(x103511),f95(x103511,x103513,f330(f74(a923,a923,a924,a325),x103514))),x103516),x103517)),f191(f935(f927(x103511),a923)))) % 199.49/199.85 [10436]P108(f330(f330(x104367,f800(x104364,x104365,x104361,x104366,x104363,x104362,x104367)),f801(x104364,x104365,x104361,x104366,x104363,x104362,x104367)))+~P108(f330(f330(x104367,f330(f259(x104362,x104363),x104366)),f330(f254(x104362,x104363),x104366)))+P108(f330(x104361,f330(f330(f260(x104362,x104363,x104364),x104365),x104366))) % 199.49/199.85 [10437]P24(x104377,x104376,f330(f330(f312(f927(x104377)),f330(f330(f330(f93(x104377),x104371),x104374),x104372)),f191(f935(f927(x104377),a923))))+~P24(x104377,x104376,f330(f330(f312(f927(x104377)),f330(f330(f330(f93(x104377),x104375),x104374),x104373)),f191(f935(f927(x104377),a923))))+P108(f330(f330(x104371,f895(x104372,x104371,x104373,x104374,x104375,x104376,x104377)),f906(x104372,x104371,x104373,x104374,x104375,x104376,x104377))) % 199.49/199.85 [10447]~P44(x104472,x104473,x104474,x104475,x104471,f330(f330(x104474,x104477),x104476))+P44(x104472,x104473,x104474,x104475,f330(f330(f23(f935(x104472,a923)),x104471),f330(f330(f312(x104472),f505(x104476,x104477,x104471,x104475,x104474,x104473,x104472)),f191(f935(x104472,a923)))),f514(x104476,x104477,x104471,x104475,x104474,x104473,x104472))+E(x104471,f191(f935(x104472,a923))) % 199.49/199.85 [10448]~P44(x104485,x104486,x104481,x104484,x104487,f330(f330(x104481,x104482),x104483))+P44(x104485,x104486,x104481,x104484,f330(f330(f23(f935(x104485,a923)),x104487),f330(f330(f312(x104485),f505(x104483,x104482,x104487,x104484,x104481,x104486,x104485)),f191(f935(x104485,a923)))),f514(x104483,x104482,x104487,x104484,x104481,x104486,x104485))+E(f330(f330(x104481,x104482),x104483),x104484) % 199.49/199.85 [10449]~P24(x104491,x104492,f330(f330(f312(f927(x104491)),f330(f330(f330(f93(x104491),x104497),x104494),x104496)),f191(f935(f927(x104491),a923))))+P24(x104491,x104492,f330(f330(f312(f927(x104491)),f330(f330(f330(f93(x104491),x104493),x104494),x104495)),f191(f935(f927(x104491),a923))))+~P108(f330(f330(x104495,f895(x104495,x104493,x104496,x104494,x104497,x104492,x104491)),f914(x104495,x104493,x104496,x104494,x104497,x104492,x104491))) % 199.49/199.85 [10470]~P108(f330(x104701,f330(f330(x104705,f801(x104704,x104705,x104701,x104706,x104703,x104702,x104707)),f800(x104704,x104705,x104701,x104706,x104703,x104702,x104707))))+~P108(f330(f330(x104707,f330(f259(x104702,x104703),x104706)),f330(f254(x104702,x104703),x104706)))+P108(f330(x104701,f330(f330(f260(x104702,x104703,x104704),x104705),x104706))) % 199.49/199.85 [9768]P108(f330(f330(f238(f935(f934(x97681,x97682),a923)),f330(f330(f292(x97681,x97683,x97682),x97684),x97685)),f330(f330(f292(x97681,x97683,x97682),x97686),x97687)))+~P108(f330(f330(f238(f935(f934(x97683,x97682),a923)),x97685),x97687))+~P108(f330(f330(f238(f935(f934(x97681,x97683),a923)),x97684),x97686)) % 199.49/199.85 [10497]E(f330(f330(f255(x104971,x104972),x104973),x104974),f330(f330(f255(x104971,x104972),x104975),x104976))+~P108(f330(f330(f332(f934(f934(x104971,x104972),f934(x104971,x104972))),f330(f330(f255(f934(x104971,x104972),f934(x104971,x104972)),f330(f330(f255(x104971,x104972),x104973),x104974)),f330(f330(f255(x104971,x104972),x104975),x104976))),f310(f934(x104971,x104972),x104977)))+P108(f330(f330(f332(f934(f934(x104971,x104972),f934(x104971,x104972))),f330(f330(f255(f934(x104971,x104972),f934(x104971,x104972)),f330(f330(f255(x104971,x104972),x104973),x104974)),f330(f330(f255(x104971,x104972),f851(x104977,x104976,x104975,x104974,x104973,x104972,x104971)),f852(x104977,x104976,x104975,x104974,x104973,x104972,x104971)))),x104977)) % 199.49/199.85 [10098]~P108(f330(f330(f332(x100981),x100986),x100985))+P108(f330(f67(x100981,x100982,x100983,x100984,x100985),f330(f330(x100983,x100986),x100987)))+~P108(f330(f67(x100981,x100982,x100983,x100984,f330(f330(f23(f935(x100981,a923)),x100985),f330(f330(f312(x100981),x100986),f191(f935(x100981,a923))))),x100987)) % 199.49/199.85 [10510]~P149(x105101)+~P25(f934(x105102,x105103),x105101,f330(f260(x105102,x105103,x105101),f330(f330(f7(x105102,f935(x105103,x105101),f935(x105103,x105101)),f330(f330(f8(f935(x105101,x105101),f935(f935(x105103,x105101),f935(x105103,x105101)),x105102),f8(x105101,x105101,x105103)),f330(f330(f8(x105101,f935(x105101,x105101),x105102),f83(x105101)),x105104))),x105105)),f330(f330(f257(x105102,x105103),x105106),f330(f16(f935(x105103,a923),x105102),x105107)))+E(f330(f330(f6(x105101,x105101),f33(x105101)),f330(f265(x105101),f330(f330(f8(f935(x105102,a923),a923,x105101),f89(x105102)),f330(f330(f8(f935(x105102,f935(x105103,a923)),f935(x105102,a923),x105101),f330(f8(f935(x105103,a923),a923,x105102),f89(x105103))),f330(f330(f7(x105101,f935(x105102,f935(x105103,a923)),f935(x105102,f935(x105103,a923))),f330(f330(f8(f935(x105102,f935(f935(x105103,a923),f935(x105103,a923))),f935(f935(x105102,f935(x105103,a923)),f935(x105102,f935(x105103,a923))),x105101),f18(x105102,f935(x105103,a923),f935(x105103,a923))),f330(f330(f8(f935(x105102,f935(x105103,f935(a923,a923))),f935(x105102,f935(f935(x105103,a923),f935(x105103,a923))),x105101),f330(f8(f935(x105103,f935(a923,a923)),f935(f935(x105103,a923),f935(x105103,a923)),x105102),f18(x105103,a923,a923))),f330(f330(f8(f935(x105102,f935(x105103,a923)),f935(x105102,f935(x105103,f935(a923,a923))),x105101),f330(f8(f935(x105103,a923),f935(x105103,f935(a923,a923)),x105102),f330(f8(a923,f935(a923,a923),x105103),a328))),f330(f330(f7(x105101,f935(x105102,f935(x105103,x105101)),f935(x105102,f935(x105103,a923))),f330(f330(f8(f935(f935(x105103,x105101),f935(x105103,a923)),f935(f935(x105102,f935(x105103,x105101)),f935(x105102,f935(x105103,a923))),x105101),f8(f935(x105103,x105101),f935(x105103,a923),x105102)),f330(f330(f8(f935(x105101,a923),f935(f935(x105103,x105101),f935(x105103,a923)),x105101),f8(x105101,a923,x105103)),a327))),f330(f330(f7(x105102,f935(x105103,x105101),f935(x105103,x105101)),f330(f330(f8(f935(x105101,x105101),f935(f935(x105103,x105101),f935(x105103,x105101)),x105102),f8(x105101,x105101,x105103)),f330(f330(f8(x105101,f935(x105101,x105101),x105102),f83(x105101)),x105104))),x105105)))))),f330(f330(f7(x105102,f935(x105103,a923),f935(x105103,a923)),f330(f330(f8(f935(a923,a923),f935(f935(x105103,a923),f935(x105103,a923)),x105102),f8(a923,a923,x105103)),f330(f330(f8(a923,f935(a923,a923),x105102),a328),f330(f330(f7(x105102,f935(x105102,a923),a923),f332(x105102)),x105106)))),f330(f330(f7(x105103,f935(x105103,a923),a923),f332(x105103)),x105107))))))),f330(f330(f83(x105101),f330(f330(f6(x105102,x105101),x105104),x105106)),f330(f330(f6(x105103,x105101),x105105),x105107))) % 199.49/199.85 [9772]~P26(x97721,x97723,x97725,x97726,x97728)+~P26(x97723,x97722,x97724,x97728,x97727)+P26(x97721,x97722,f330(f74(x97723,x97722,x97721,x97724),x97725),x97726,x97727) % 199.49/199.85 [9801]P26(x98011,x98012,x98013,x98014,x98015)+~P26(x98016,x98011,x98017,x98018,x98014)+~P26(x98016,x98012,f330(f74(x98011,x98012,x98016,x98013),x98017),x98018,x98015) % 199.49/199.85 [9933]~P108(f330(f330(x99334,x99336),x99338))+~P108(f330(f330(x99335,x99338),x99337))+P108(f330(f330(f256(x99331,x99332,x99333,x99334,x99335),x99336),x99337)) % 199.49/199.85 [9530]~P19(x95308,x95301,x95303,x95305)+~P108(f330(f62(x95308),x95306))+E(f330(f74(x95301,x95301,x95302,f330(x95303,x95304)),f330(f74(x95301,x95301,x95302,f330(x95305,x95306)),x95307)),f330(f74(x95301,x95301,x95302,f330(x95305,x95306)),f330(f74(x95301,x95301,x95302,f330(x95303,x95304)),x95307))) % 199.49/199.85 [9923]~P22(x99237,x99232,x99235,x99238,x99236,x99231)+~P108(f330(f62(x99232),x99234))+E(f330(x99231,f330(f330(f312(x99232),x99233),x99234)),f330(f330(x99235,f330(x99236,x99233)),f330(x99231,x99234))) % 199.49/199.85 [10042]~P25(x100422,x100424,x100426,x100428)+~P25(x100421,x100423,x100425,x100427)+P25(f934(x100421,x100422),f934(x100423,x100424),f261(x100421,x100423,x100422,x100424,x100425,x100426),f330(f330(f257(x100421,x100422),x100427),f330(f16(f935(x100422,a923),x100421),x100428))) % 199.49/199.85 [9715]P108(f330(f330(f332(f934(x97151,x97152)),f330(f330(f255(x97151,x97152),x97153),x97154)),f330(f330(f292(x97151,x97155,x97152),x97156),x97157)))+~P108(f330(f330(f332(f934(x97151,x97155)),f330(f330(f255(x97151,x97155),x97153),x97158)),x97156))+~P108(f330(f330(f332(f934(x97155,x97152)),f330(f330(f255(x97155,x97152),x97158),x97154)),x97157)) % 199.49/199.85 [9904]~P108(f330(f330(f238(f935(f934(x99043,x99042),a923)),x99045),f330(f330(f257(x99043,x99042),x99048),f330(f16(f935(x99042,a923),x99043),x99047))))+~P108(f330(f330(f238(f935(f934(x99041,x99043),a923)),x99044),f330(f330(f257(x99041,x99043),x99046),f330(f16(f935(x99043,a923),x99041),x99048))))+P108(f330(f330(f238(f935(f934(x99041,x99042),a923)),f330(f330(f292(x99041,x99043,x99042),x99044),x99045)),f330(f330(f257(x99041,x99042),x99046),f330(f16(f935(x99042,a923),x99041),x99047)))) % 199.49/199.85 [9957]~E(x99573,x99575)+P108(f330(f330(f332(f934(f934(x99571,x99572),f934(x99571,x99572))),f330(f330(f255(f934(x99571,x99572),f934(x99571,x99572)),f330(f330(f255(x99571,x99572),x99573),x99574)),f330(f330(f255(x99571,x99572),x99575),x99576))),f322(x99571,x99572,x99577,x99578)))+~P108(f330(f330(f332(f934(x99572,x99572)),f330(f330(f255(x99572,x99572),x99574),x99576)),x99578)) % 199.49/199.85 [10061]E(x100611,x100612)+~P108(f330(f330(f332(f934(f934(x100613,x100615),f934(x100613,x100615))),f330(f330(f255(f934(x100613,x100615),f934(x100613,x100615)),f330(f330(f255(x100613,x100615),x100611),x100616)),f330(f330(f255(x100613,x100615),x100612),x100617))),f322(x100613,x100615,x100614,x100618)))+P108(f330(f330(f332(f934(x100613,x100613)),f330(f330(f255(x100613,x100613),x100611),x100612)),x100614)) % 199.49/199.85 [10077]~P108(f330(f330(f332(f934(f934(x100771,x100775),f934(x100771,x100775))),f330(f330(f255(f934(x100771,x100775),f934(x100771,x100775)),f330(f330(f255(x100771,x100775),x100772),x100776)),f330(f330(f255(x100771,x100775),x100773),x100777))),f322(x100771,x100775,x100774,x100778)))+P108(f330(f330(f332(f934(x100771,x100771)),f330(f330(f255(x100771,x100771),x100772),x100773)),x100774))+P108(f330(f330(f332(f934(x100775,x100775)),f330(f330(f255(x100775,x100775),x100776),x100777)),x100778)) % 199.49/199.85 [9993]~P23(x99937,x99935,x99931,x99938,x99932,x99934)+~P108(f330(f62(x99935),x99936))+E(f330(f330(x99931,f330(x99932,x99933)),f330(x99934,f330(f330(f23(f935(x99935,a923)),x99936),f330(f330(f312(x99935),x99933),f191(f935(x99935,a923)))))),f330(x99934,f330(f330(f312(x99935),x99933),x99936))) % 199.49/199.85 [9484]~P108(f330(f330(f330(x94845,x94848),x94846),x94847))+~P108(f330(f330(f332(x94841),x94848),x94844))+P108(f330(f330(f330(f330(f40(x94841,f935(x94842,f935(x94843,a923))),x94844),x94845),x94846),x94847)) % 199.49/199.85 [9700]P108(f330(f330(f330(x97001,x97002),x97003),x97004))+~P108(f330(f330(f332(x97005),x97002),x97006))+~P108(f330(f330(f330(f330(f41(x97005,f935(x97007,f935(x97008,a923))),x97006),x97001),x97003),x97004)) % 199.49/199.85 [9897]~P21(x98973,x98972,x98974,x98978,x98971)+~P108(f330(f62(x98972),x98977))+E(f330(f330(x98971,f330(f330(f18(x98972,x98973,x98973),f330(f330(f8(x98973,f935(x98973,x98973),x98972),x98974),x98975)),x98976)),x98977),f330(f330(x98974,f330(f330(x98971,x98975),x98977)),f330(f330(x98971,x98976),x98977))) % 199.49/199.85 [10163]~E(f330(f313(x101632,x101634,x101636),x101638),x1016310)+~E(f330(f313(x101631,x101633,x101635),x101637),x101639)+E(f330(f313(f934(x101631,x101632),f934(x101633,x101634),f261(x101631,x101633,x101632,x101634,x101635,x101636)),f330(f330(f257(x101631,x101632),x101637),f330(f16(f935(x101632,a923),x101631),x101638))),f330(f330(f257(x101633,x101634),x101639),f330(f16(f935(x101634,a923),x101633),x1016310))) % 199.49/199.85 [5139]~P45(x51391,x51392)+~P52(x51391,x51392)+~P53(x51391,x51392)+P7(x51391,x51392) % 199.49/199.85 [5095]~P110(x50952)+~P13(x50952,x50951)+P13(x50952,f117(x50952,x50951))+E(x50951,f116(x50952)) % 199.49/199.85 [5096]~P110(x50962)+~P13(x50962,x50961)+P13(x50962,f718(x50961,x50962))+E(x50961,f116(x50962)) % 199.49/199.85 [5337]~P5(x53372)+E(f10(x53372,x53371),f39(x53372,x53371))+E(x53371,f191(f935(x53372,a923)))+~P108(f330(f62(x53372),x53371)) % 199.49/199.85 [5338]~P5(x53382)+E(f13(x53382,x53381),f38(x53382,x53381))+E(x53381,f191(f935(x53382,a923)))+~P108(f330(f62(x53382),x53381)) % 199.49/199.85 [5494]~P110(x54942)+~P13(x54942,x54941)+E(x54941,f116(x54942))+E(f330(f330(f154(x54942),f738(x54941,x54942)),f718(x54941,x54942)),x54941) % 199.49/199.85 [6306]~P99(x63062)+E(x63061,f191(f935(x63062,a923)))+P108(f330(f330(f238(x63062),f10(x63062,x63061)),f13(x63062,x63061)))+~P108(f330(f62(x63062),x63061)) % 199.49/199.85 [6318]~P42(x63182)+~P42(x63181)+E(x63181,x63182)+~E(f330(f313(a1,a928,a107),x63181),f330(f313(a1,a928,a107),x63182)) % 199.49/199.85 [9342]~P121(x93421)+~P108(f330(f330(f332(x93421),x93422),f112(x93421)))+P108(f330(f330(f239(x93421),f330(f330(f82(x93421),f330(f330(f82(x93421),f80(x93421)),x93422)),x93422)),f2(x93421)))+~P108(f330(f330(f239(x93421),x93422),f2(x93421))) % 199.49/199.85 [9583]~P121(x95831)+~P108(f330(f330(f332(x95831),x95832),f112(x95831)))+~P108(f330(f330(f239(x95831),f330(f330(f82(x95831),f330(f330(f82(x95831),f80(x95831)),x95832)),x95832)),f2(x95831)))+P108(f330(f330(f239(x95831),x95832),f2(x95831))) % 199.49/199.85 [5154]~P117(x51542)+~P149(x51542)+E(x51541,f2(a928))+E(f330(f330(f247(x51542),f2(x51542)),x51541),f2(x51542)) % 199.49/199.85 [5157]~P117(x51571)+~P149(x51571)+~E(x51572,f2(a928))+E(f330(f330(f247(x51571),f2(x51571)),x51572),f80(x51571)) % 199.49/199.85 [5323]~P146(x53232)+E(x53231,f80(x53232))+E(x53231,f330(f81(x53232),f80(x53232)))+~E(f330(f330(f83(x53232),x53231),x53231),f80(x53232)) % 199.49/199.85 [5575]~P91(x55752)+E(x55751,f2(x55752))+E(f84(x55752,x55751),f330(f81(x55752),f80(x55752)))+P108(f330(f330(f239(x55752),f2(x55752)),x55751)) % 199.49/199.85 [5815]~P91(x58152)+E(f84(x58152,x58151),f80(x58152))+E(x58151,f2(x58152))+~P108(f330(f330(f239(x58152),f2(x58152)),x58151)) % 199.49/199.85 [5824]E(x58241,x58242)+~E(f330(f106(a928),x58241),f330(f106(a928),x58242))+P108(f330(a196,f330(f106(a1),x58242)))+P108(f330(a196,f330(f106(a1),x58241))) % 199.49/199.85 [5874]~P93(x58741)+~E(x58742,f2(x58741))+E(f330(f330(f82(x58741),x58742),x58742),f2(x58741))+~P108(f330(f330(f332(x58741),x58742),f112(x58741))) % 199.49/199.85 [5913]E(x59131,f2(a1))+~E(f330(f330(f37(a1),x59132),x59131),f2(a1))+P108(f330(f330(f239(a1),x59131),x59132))+P108(f330(f330(f239(a1),x59132),x59131)) % 199.49/199.85 [5943]E(x59431,f2(a1))+~E(f330(f330(f37(a1),x59432),x59431),f2(a1))+P108(f330(f330(f238(a1),x59432),f2(a1)))+P108(f330(f330(f239(a1),x59432),x59431)) % 199.49/199.85 [5977]E(x59771,f2(a1))+~E(f330(f330(f37(a1),x59772),x59771),f2(a1))+P108(f330(f330(f238(a1),f2(a1)),x59772))+P108(f330(f330(f239(a1),x59771),x59772)) % 199.49/199.85 [6012]~P93(x60122)+E(x60121,f2(x60122))+~E(f330(f330(f82(x60122),x60121),x60121),f2(x60122))+~P108(f330(f330(f332(x60122),x60121),f112(x60122))) % 199.49/199.85 [6074]E(f330(f106(a928),x60741),f330(f106(a928),x60742))+~E(f330(f106(a1),x60742),f2(a1))+P108(f330(a196,f330(f106(a1),x60742)))+~P108(f330(a196,f330(f106(a1),x60741))) % 199.49/199.85 [6103]~E(f330(f106(a928),x61032),f330(f106(a928),x61031))+E(f330(f106(a1),x61031),f2(a1))+P108(f330(a196,f330(f106(a1),x61031)))+~P108(f330(a196,f330(f106(a1),x61032))) % 199.49/199.85 [6113]~P110(x61132)+E(x61131,f191(f935(x61132,a923)))+~P108(f330(f62(x61132),x61131))+P108(f330(f330(f332(x61132),f14(x61132,x61131)),x61131)) % 199.49/199.85 [6114]~P110(x61142)+E(x61141,f191(f935(x61142,a923)))+~P108(f330(f62(x61142),x61141))+P108(f330(f330(f332(x61142),f15(x61142,x61141)),x61141)) % 199.49/199.85 [6283]~P121(x62831)+~P95(x62831)+P108(f330(f330(f238(x62831),f2(x62831)),f330(f106(x62831),x62832)))+~P108(f330(f330(f238(a1),a85),x62832)) % 199.49/199.85 [6284]~P121(x62841)+~P95(x62841)+P108(f330(f330(f239(x62841),f2(x62841)),f330(f106(x62841),x62842)))+~P108(f330(f330(f239(a1),a85),x62842)) % 199.49/199.85 [6305]~P121(x63051)+~P95(x63051)+E(f330(f77(x63051),f330(f106(x63051),x63052)),f330(f106(x63051),x63052))+P108(f330(f330(f239(x63051),f330(f106(x63051),x63052)),f2(x63051))) % 199.49/199.85 [6342]E(x63421,x63422)+~E(f330(a107,x63421),f330(a107,x63422))+~P108(f330(f330(f238(a1),f2(a1)),x63422))+~P108(f330(f330(f238(a1),f2(a1)),x63421)) % 199.49/199.85 [6536]~P95(x65362)+~P121(x65362)+~P108(f330(f330(f238(x65362),f2(x65362)),f330(f106(x65362),x65361)))+P108(f330(f330(f238(a1),a85),x65361)) % 199.49/199.85 [6537]~P95(x65372)+~P121(x65372)+~P108(f330(f330(f239(x65372),f2(x65372)),f330(f106(x65372),x65371)))+P108(f330(f330(f239(a1),a85),x65371)) % 199.49/199.85 [6542]~P121(x65421)+~P95(x65421)+P108(f330(f330(f238(x65421),f330(f106(x65421),x65422)),f2(x65421)))+~P108(f330(f330(f238(a1),x65422),a85)) % 199.49/199.85 [6543]~P121(x65431)+~P95(x65431)+P108(f330(f330(f239(x65431),f330(f106(x65431),x65432)),f2(x65431)))+~P108(f330(f330(f239(a1),x65432),a85)) % 199.49/199.85 [6861]~P95(x68612)+~P121(x68612)+~P108(f330(f330(f238(x68612),f330(f106(x68612),x68611)),f2(x68612)))+P108(f330(f330(f238(a1),x68611),a85)) % 199.49/199.85 [6862]~P95(x68622)+~P121(x68622)+~P108(f330(f330(f239(x68622),f330(f106(x68622),x68621)),f2(x68622)))+P108(f330(f330(f239(a1),x68621),a85)) % 199.49/199.85 [6953]~P121(x69531)+~P95(x69531)+E(f330(f77(x69531),f330(f106(x69531),x69532)),f330(f81(x69531),f330(f106(x69531),x69532)))+~P108(f330(f330(f239(x69531),f330(f106(x69531),x69532)),f2(x69531))) % 199.49/199.85 [6971]E(f330(f106(a928),x69711),f330(f106(a928),x69712))+~E(f330(f106(a1),x69712),f2(a1))+~P108(f330(f330(f238(a1),f330(f106(a1),x69711)),f2(a1)))+~P108(f330(a196,f330(f106(a1),x69711))) % 199.49/199.85 [7846]~P110(x78462)+E(x78461,f191(f935(x78462,a923)))+~P108(f330(f62(x78462),x78461))+P108(f330(f330(f238(x78462),f11(x78462,f236(x78462),x78461)),f12(x78462,f237(x78462),x78461))) % 199.49/199.85 [8162]~P42(x81622)+~P6(x81621)+P108(f330(f330(f332(a1),x81621),x81622))+~P108(f330(f330(f332(a928),f330(a107,x81621)),f330(f313(a1,a928,a107),x81622))) % 199.49/199.85 [6109]~P145(x61092)+E(x61091,f2(a1))+E(f330(f81(x61092),f330(f105(x61092),f330(f81(a1),x61091))),f330(f105(x61092),x61091))+~P108(f330(f330(f239(a1),x61091),f2(a1))) % 199.49/199.85 [6187]~P93(x61871)+~P95(x61871)+~P29(x61871,f330(f106(x61871),x61872))+P29(x61871,f330(f106(x61871),f330(f330(f82(a1),x61872),x61872))) % 199.49/199.85 [6525]~P78(x65252)+E(x65251,f191(f935(x65252,a923)))+E(f15(x65252,f330(f313(x65252,x65252,f81(x65252)),x65251)),f330(f81(x65252),f14(x65252,x65251)))+~P108(f330(f62(x65252),x65251)) % 199.49/199.85 [6526]~P78(x65262)+E(x65261,f191(f935(x65262,a923)))+E(f14(x65262,f330(f313(x65262,x65262,f81(x65262)),x65261)),f330(f81(x65262),f15(x65262,x65261)))+~P108(f330(f62(x65262),x65261)) % 199.49/199.85 [6559]~P93(x65591)+~P95(x65591)+P29(x65591,f330(f106(x65591),x65592))+~P29(x65591,f330(f106(x65591),f330(f330(f82(a1),x65592),x65592))) % 199.49/199.85 [6651]E(x66511,f2(a1))+E(f330(a52,f51(f330(f81(a1),x66511),f330(f81(a1),x66512))),f47(x66511,x66512))+P108(f330(f330(f238(a1),f2(a1)),x66512))+~P108(f330(f330(f238(a1),f2(a1)),x66511)) % 199.49/199.85 [8940]~P42(x89402)+~P42(x89401)+P108(f330(f330(f239(f935(a928,a923)),f330(f313(a1,a928,a107),x89401)),f330(f313(a1,a928,a107),x89402)))+~P108(f330(f330(f239(f935(a1,a923)),x89401),x89402)) % 199.49/199.85 [9174]~E(f740(x91742,x91741),f741(x91742,x91741))+~P108(f330(f140(x91741),f742(x91742,x91741)))+~P108(f330(f140(f929(x91741)),x91742))+P108(f330(f140(x91741),f330(f145(f929(x91741),f929(x91741),f137(x91741),f116(x91741)),x91742))) % 199.49/199.85 [9262]~P42(x92622)+~P42(x92621)+~P108(f330(f330(f238(f935(a928,a923)),f330(f313(a1,a928,a107),x92621)),f330(f313(a1,a928,a107),x92622)))+P108(f330(f330(f238(f935(a1,a923)),x92621),x92622)) % 199.49/199.85 [9263]~P42(x92632)+~P42(x92631)+~P108(f330(f330(f239(f935(a928,a923)),f330(f313(a1,a928,a107),x92631)),f330(f313(a1,a928,a107),x92632)))+P108(f330(f330(f239(f935(a1,a923)),x92631),x92632)) % 199.49/199.85 [9269]~E(f740(x92692,x92691),f741(x92692,x92691))+~P108(f330(f140(f929(x92691)),x92692))+P108(f330(f140(x92691),f330(f145(f929(x92691),f929(x92691),f137(x92691),f116(x92691)),x92692)))+P108(f330(f330(f332(f929(x92691)),f742(x92692,x92691)),f330(f175(f929(x92691)),x92692))) % 199.49/199.85 [9310]~P108(f330(f140(x93101),f742(x93102,x93101)))+~P108(f330(f140(f929(x93101)),x93102))+P108(f330(f140(x93101),f330(f145(f929(x93101),f929(x93101),f137(x93101),f116(x93101)),x93102)))+P108(f330(f330(f332(f929(x93101)),f741(x93102,x93101)),f330(f175(f929(x93101)),x93102))) % 199.49/199.85 [9311]~P108(f330(f140(x93111),f742(x93112,x93111)))+~P108(f330(f140(f929(x93111)),x93112))+P108(f330(f140(x93111),f330(f145(f929(x93111),f929(x93111),f137(x93111),f116(x93111)),x93112)))+P108(f330(f330(f332(f929(x93111)),f740(x93112,x93111)),f330(f175(f929(x93111)),x93112))) % 199.49/199.85 [9389]~P108(f330(f140(f929(x93891)),x93892))+P108(f330(f140(x93891),f330(f145(f929(x93891),f929(x93891),f137(x93891),f116(x93891)),x93892)))+P108(f330(f330(f332(f929(x93891)),f741(x93892,x93891)),f330(f175(f929(x93891)),x93892)))+P108(f330(f330(f332(f929(x93891)),f742(x93892,x93891)),f330(f175(f929(x93891)),x93892))) % 199.49/199.85 [9390]~P108(f330(f140(f929(x93901)),x93902))+P108(f330(f140(x93901),f330(f145(f929(x93901),f929(x93901),f137(x93901),f116(x93901)),x93902)))+P108(f330(f330(f332(f929(x93901)),f740(x93902,x93901)),f330(f175(f929(x93901)),x93902)))+P108(f330(f330(f332(f929(x93901)),f742(x93902,x93901)),f330(f175(f929(x93901)),x93902))) % 199.49/199.85 [9404]~E(f330(f330(f104(f935(x94041,a923)),f330(f175(x94041),f741(x94042,x94041))),f330(f175(x94041),f740(x94042,x94041))),f191(f935(x94041,a923)))+~P108(f330(f140(x94041),f742(x94042,x94041)))+~P108(f330(f140(f929(x94041)),x94042))+P108(f330(f140(x94041),f330(f145(f929(x94041),f929(x94041),f137(x94041),f116(x94041)),x94042))) % 199.49/199.85 [9466]~E(f330(f330(f104(f935(x94661,a923)),f330(f175(x94661),f741(x94662,x94661))),f330(f175(x94661),f740(x94662,x94661))),f191(f935(x94661,a923)))+~P108(f330(f140(f929(x94661)),x94662))+P108(f330(f140(x94661),f330(f145(f929(x94661),f929(x94661),f137(x94661),f116(x94661)),x94662)))+P108(f330(f330(f332(f929(x94661)),f742(x94662,x94661)),f330(f175(f929(x94661)),x94662))) % 199.49/199.85 [9740]E(x97401,f2(a1))+E(x97402,f2(a1))+E(f330(f330(f88(a1,f934(a1,a1)),f330(f330(a221,x97402),x97401)),f330(f330(f18(a1,a1,f934(a1,a1)),f330(f330(f8(a1,f935(a1,f934(a1,a1)),a1),f255(a1,a1)),f330(f37(a1),x97402))),f330(f37(a1),x97401))),f219(x97402,x97401))+P108(f330(f330(f239(a1),x97401),f2(a1))) % 199.49/199.85 [8486]~P95(x84862)+~P121(x84862)+~P108(f330(f330(f238(x84862),f330(f106(x84862),x84861)),f80(x84862)))+P108(f330(f330(f238(a1),x84861),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))) % 199.49/199.85 [8487]~P95(x84872)+~P121(x84872)+~P108(f330(f330(f239(x84872),f330(f106(x84872),x84871)),f80(x84872)))+P108(f330(f330(f239(a1),x84871),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))) % 199.49/199.85 [8757]~P121(x87571)+~P95(x87571)+P108(f330(f330(f238(x87571),f330(f106(x87571),x87572)),f80(x87571)))+~P108(f330(f330(f238(a1),x87572),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))) % 199.49/199.85 [8758]~P121(x87581)+~P95(x87581)+P108(f330(f330(f239(x87581),f330(f106(x87581),x87582)),f80(x87581)))+~P108(f330(f330(f239(a1),x87582),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))) % 199.49/199.85 [8968]~P95(x89682)+~P121(x89682)+~P108(f330(f330(f238(x89682),f80(x89682)),f330(f106(x89682),x89681)))+P108(f330(f330(f238(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),x89681)) % 199.49/199.85 [8969]~P95(x89692)+~P121(x89692)+~P108(f330(f330(f239(x89692),f80(x89692)),f330(f106(x89692),x89691)))+P108(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),x89691)) % 199.49/199.85 [9348]~P121(x93481)+~P95(x93481)+P108(f330(f330(f238(x93481),f80(x93481)),f330(f106(x93481),x93482)))+~P108(f330(f330(f238(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),x93482)) % 199.49/199.85 [9349]~P121(x93491)+~P95(x93491)+P108(f330(f330(f239(x93491),f80(x93491)),f330(f106(x93491),x93492)))+~P108(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),x93492)) % 199.49/199.85 [9870]~P146(x98702)+E(x98701,f80(x98702))+E(x98701,f330(f81(x98702),f80(x98702)))+~E(f330(f330(f247(x98702),x98701),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f80(x98702)) % 199.49/199.85 [10139]~P95(x101391)+~P68(x101391)+~P108(f330(f330(f239(x101391),f2(x101391)),x101392))+P108(f330(f330(f239(x101391),f2(x101391)),f330(f330(f294(x101391),x101392),f330(f106(x101391),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 199.49/199.85 [10193]~P95(x101931)+~P68(x101931)+P108(f330(f330(f239(x101931),f2(x101931)),x101932))+~P108(f330(f330(f239(x101931),f2(x101931)),f330(f330(f294(x101931),x101932),f330(f106(x101931),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 199.49/199.85 [10477]~P145(x104772)+E(x104771,f2(a1))+P108(f330(f330(f239(a1),x104771),f2(a1)))+E(f330(f330(f260(a1,a1,x104772),f330(f330(f7(a1,f935(a1,f935(x104772,x104772)),f935(a1,x104772)),f330(f330(f8(f935(f935(x104772,x104772),x104772),f935(f935(a1,f935(x104772,x104772)),f935(a1,x104772)),a1),f8(f935(x104772,x104772),x104772,a1)),f330(f330(f8(x104772,f935(f935(x104772,x104772),x104772),a1),f88(x104772,x104772)),f105(x104772)))),f330(f330(f7(a1,f935(x104772,x104772),f935(x104772,x104772)),f330(f330(f8(f935(x104772,f935(x104772,x104772)),f935(f935(x104772,x104772),f935(x104772,x104772)),a1),f18(x104772,x104772,x104772)),f330(f330(f7(a1,f935(x104772,x104772),f935(x104772,f935(x104772,x104772))),f330(f330(f8(f935(x104772,f935(x104772,x104772)),f935(f935(x104772,x104772),f935(x104772,f935(x104772,x104772))),a1),f8(x104772,f935(x104772,x104772),x104772)),f330(f330(f8(a923,f935(x104772,f935(x104772,x104772)),a1),f99(x104772)),f330(f330(f7(a1,a1,a923),a327),f2(a1))))),f330(f330(f18(x104772,x104772,x104772),f82(x104772)),f5(x104772))))),f330(f330(f7(x104772,x104772,x104772),f330(f330(f8(x104772,f935(x104772,x104772),x104772),f82(x104772)),f330(f330(f18(x104772,x104772,x104772),f82(x104772)),f5(x104772)))),f80(x104772))))),f47(x104771,f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f105(x104772),x104771)) % 199.49/199.85 [5584]~P40(x55841,x55843)+~P54(x55841,x55843)+~P55(x55841,x55842,x55843)+P8(x55841,x55842,x55843) % 199.49/199.85 [5123]~P93(x51233)+~P95(x51233)+E(x51231,x51232)+~E(f330(f106(x51233),x51231),f330(f106(x51233),x51232)) % 199.49/199.85 [5594]~P52(x55941,x55942)+~P53(x55941,x55942)+P15(x55941,x55942)+~P108(f330(f330(x55942,x55943),x55943)) % 199.49/199.85 [6089]P15(x60892,x60891)+E(f330(x60891,f817(x60891)),f330(x60891,f818(x60891)))+P108(f330(f330(x60891,f817(x60891)),f818(x60891)))+~P108(f330(f330(x60891,x60893),x60893)) % 199.49/199.85 [6293]~P108(f330(x62931,x62932))+~P108(f330(x62931,x62933))+~P108(f330(f330(f238(a928),x62933),f888(x62932,x62931)))+P108(f330(x62931,f2(a928))) % 199.49/199.85 [6362]P15(x63621,x63622)+P108(f330(f330(x63622,f817(x63622)),f817(x63622)))+P108(f330(f330(x63622,f817(x63622)),f818(x63622)))+~P108(f330(f330(x63622,x63623),x63623)) % 199.49/199.85 [6363]P15(x63631,x63632)+P108(f330(f330(x63632,f817(x63632)),f818(x63632)))+P108(f330(f330(x63632,f818(x63632)),f818(x63632)))+~P108(f330(f330(x63632,x63633),x63633)) % 199.49/199.85 [6717]P151(x67172,x67173,x67171)+E(x67171,f2(a1))+P108(f330(f330(f238(a1),f2(a1)),f867(x67171,x67173,x67172)))+P108(f330(f330(f239(a1),x67171),f2(a1))) % 199.49/199.85 [6718]P150(x67182,x67183,x67181)+E(x67181,f2(a1))+P108(f330(f330(f238(a1),f2(a1)),f875(x67181,x67183,x67182)))+P108(f330(f330(f239(a1),x67181),f2(a1))) % 199.49/199.85 [6842]P150(x68421,x68422,x68423)+~P108(f330(x68421,x68422))+P108(f330(f330(f238(a1),f2(a1)),f875(x68423,x68422,x68421)))+P108(f330(f330(f239(a1),x68423),f2(a1))) % 199.49/199.85 [6867]P151(x68671,x68672,x68673)+P108(f330(f330(f238(a1),f2(a1)),f867(x68673,x68672,x68671)))+~P108(f330(x68671,f2(a1)))+P108(f330(f330(f239(a1),x68673),f2(a1))) % 199.49/199.85 [6897]P151(x68972,x68973,x68971)+E(x68971,f2(a1))+~P108(f330(x68972,f868(x68971,x68973,x68972)))+P108(f330(f330(f239(a1),x68971),f2(a1))) % 199.49/199.85 [6898]P150(x68982,x68983,x68981)+E(x68981,f2(a1))+~P108(f330(x68982,f875(x68981,x68983,x68982)))+P108(f330(f330(f239(a1),x68981),f2(a1))) % 199.49/199.85 [6995]~P110(x69951)+~P5(x69951)+~P108(f330(f330(f239(x69951),x69952),f38(x69951,x69953)))+P108(f330(f330(f239(x69951),x69952),f518(x69953,x69952,x69951))) % 199.49/199.85 [7005]P150(x70051,x70052,x70053)+~P108(f330(x70051,x70052))+~P108(f330(x70051,f875(x70053,x70052,x70051)))+P108(f330(f330(f239(a1),x70053),f2(a1))) % 199.49/199.85 [7036]P151(x70361,x70362,x70363)+~P108(f330(x70361,f868(x70363,x70362,x70361)))+~P108(f330(x70361,f2(a1)))+P108(f330(f330(f239(a1),x70363),f2(a1))) % 199.49/199.85 [7285]P151(x72852,x72853,x72851)+E(x72851,f2(a1))+P108(f330(f330(f238(a1),f2(a1)),f867(x72851,x72853,x72852)))+P108(f330(f330(f239(a1),x72851),f866(x72851,x72853,x72852))) % 199.49/199.85 [7286]P150(x72862,x72863,x72861)+E(x72861,f2(a1))+P108(f330(f330(f238(a1),f2(a1)),f875(x72861,x72863,x72862)))+P108(f330(f330(f239(a1),x72861),f874(x72861,x72863,x72862))) % 199.49/199.85 [7406]P150(x74061,x74062,x74063)+~P108(f330(x74061,x74062))+P108(f330(f330(f238(a1),f2(a1)),f875(x74063,x74062,x74061)))+P108(f330(f330(f239(a1),x74063),f874(x74063,x74062,x74061))) % 199.49/199.85 [7427]P151(x74271,x74272,x74273)+P108(f330(f330(f238(a1),f2(a1)),f867(x74273,x74272,x74271)))+P108(f330(f330(f239(a1),x74273),f866(x74273,x74272,x74271)))+~P108(f330(x74271,f2(a1))) % 199.49/199.85 [7460]P151(x74602,x74603,x74601)+E(x74601,f2(a1))+~P108(f330(x74602,f868(x74601,x74603,x74602)))+P108(f330(f330(f239(a1),x74601),f866(x74601,x74603,x74602))) % 199.49/199.85 [7461]P150(x74612,x74613,x74611)+E(x74611,f2(a1))+~P108(f330(x74612,f875(x74611,x74613,x74612)))+P108(f330(f330(f239(a1),x74611),f874(x74611,x74613,x74612))) % 199.49/199.85 [7505]P151(x75052,x75053,x75051)+E(x75051,f2(a1))+P108(f330(f330(f238(a1),f2(a1)),f867(x75051,x75053,x75052)))+~P108(f330(x75052,f873(x75051,x75053,x75052))) % 199.49/199.85 [7506]P150(x75062,x75063,x75061)+E(x75061,f2(a1))+P108(f330(f330(f238(a1),f2(a1)),f875(x75061,x75063,x75062)))+~P108(f330(x75062,f874(x75061,x75063,x75062))) % 199.49/199.85 [7600]P150(x76001,x76002,x76003)+~P108(f330(x76001,x76002))+~P108(f330(x76001,f875(x76003,x76002,x76001)))+P108(f330(f330(f239(a1),x76003),f874(x76003,x76002,x76001))) % 199.49/199.85 [7615]P151(x76151,x76152,x76153)+~P108(f330(x76151,f868(x76153,x76152,x76151)))+P108(f330(f330(f239(a1),x76153),f866(x76153,x76152,x76151)))+~P108(f330(x76151,f2(a1))) % 199.49/199.85 [7618]P150(x76181,x76182,x76183)+~P108(f330(x76181,x76182))+P108(f330(f330(f238(a1),f2(a1)),f875(x76183,x76182,x76181)))+~P108(f330(x76181,f874(x76183,x76182,x76181))) % 199.49/199.85 [7634]P151(x76341,x76342,x76343)+P108(f330(f330(f238(a1),f2(a1)),f867(x76343,x76342,x76341)))+~P108(f330(x76341,f873(x76343,x76342,x76341)))+~P108(f330(x76341,f2(a1))) % 199.49/199.85 [7655]P151(x76552,x76553,x76551)+E(x76551,f2(a1))+~P108(f330(x76552,f868(x76551,x76553,x76552)))+~P108(f330(x76552,f873(x76551,x76553,x76552))) % 199.49/199.85 [7656]P150(x76562,x76563,x76561)+E(x76561,f2(a1))+~P108(f330(x76562,f875(x76561,x76563,x76562)))+~P108(f330(x76562,f874(x76561,x76563,x76562))) % 199.49/199.85 [7742]P150(x77421,x77422,x77423)+~P108(f330(x77421,x77422))+~P108(f330(x77421,f875(x77423,x77422,x77421)))+~P108(f330(x77421,f874(x77423,x77422,x77421))) % 199.49/199.85 [7759]P151(x77591,x77592,x77593)+~P108(f330(x77591,f868(x77593,x77592,x77591)))+~P108(f330(x77591,f873(x77593,x77592,x77591)))+~P108(f330(x77591,f2(a1))) % 199.49/199.85 [7805]P151(x78052,x78053,x78051)+E(x78051,f2(a1))+P108(f330(f330(f238(a1),f2(a1)),f867(x78051,x78053,x78052)))+P108(f330(f330(f238(a1),f866(x78051,x78053,x78052)),f2(a1))) % 199.49/199.85 [7806]P150(x78062,x78063,x78061)+E(x78061,f2(a1))+P108(f330(f330(f238(a1),f2(a1)),f875(x78061,x78063,x78062)))+P108(f330(f330(f238(a1),f874(x78061,x78063,x78062)),f2(a1))) % 199.49/199.85 [7807]~P89(x78071)+~P108(f330(f330(f238(x78071),x78073),f2(x78071)))+~P108(f330(f330(f238(x78071),x78072),f2(x78071)))+P108(f330(f330(f238(x78071),f330(f330(f82(x78071),x78072),x78073)),f2(x78071))) % 199.49/199.85 [7808]~P145(x78081)+~P108(f330(f330(f332(x78081),x78083),f112(x78081)))+~P108(f330(f330(f332(x78081),x78082),f112(x78081)))+P108(f330(f330(f332(x78081),f330(f330(f23(x78081),x78082),x78083)),f112(x78081))) % 199.49/199.85 [7809]~P145(x78091)+~P108(f330(f330(f332(x78091),x78093),f112(x78091)))+~P108(f330(f330(f332(x78091),x78092),f112(x78091)))+P108(f330(f330(f332(x78091),f330(f330(f83(x78091),x78092),x78093)),f112(x78091))) % 199.49/199.85 [7810]~P148(x78101)+~P108(f330(f330(f332(x78101),x78103),f189(x78101)))+~P108(f330(f330(f332(x78101),x78102),f189(x78101)))+P108(f330(f330(f332(x78101),f330(f330(f83(x78101),x78102),x78103)),f189(x78101))) % 199.49/199.85 [7811]~P145(x78111)+~P108(f330(f330(f332(x78111),x78113),f112(x78111)))+~P108(f330(f330(f332(x78111),x78112),f112(x78111)))+P108(f330(f330(f332(x78111),f330(f330(f82(x78111),x78112),x78113)),f112(x78111))) % 199.49/199.85 [7812]~P148(x78121)+~P108(f330(f330(f332(x78121),x78123),f189(x78121)))+~P108(f330(f330(f332(x78121),x78122),f189(x78121)))+P108(f330(f330(f332(x78121),f330(f330(f82(x78121),x78122),x78123)),f189(x78121))) % 199.49/199.85 [7813]~P89(x78131)+~P108(f330(f330(f238(x78131),x78133),f2(x78131)))+~P108(f330(f330(f239(x78131),x78132),f2(x78131)))+P108(f330(f330(f239(x78131),f330(f330(f82(x78131),x78132),x78133)),f2(x78131))) % 199.49/199.85 [7814]~P89(x78141)+~P108(f330(f330(f238(x78141),x78142),f2(x78141)))+~P108(f330(f330(f239(x78141),x78143),f2(x78141)))+P108(f330(f330(f239(x78141),f330(f330(f82(x78141),x78142),x78143)),f2(x78141))) % 199.49/199.85 [7815]~P89(x78151)+~P108(f330(f330(f239(x78151),x78153),f2(x78151)))+~P108(f330(f330(f239(x78151),x78152),f2(x78151)))+P108(f330(f330(f239(x78151),f330(f330(f82(x78151),x78152),x78153)),f2(x78151))) % 199.49/199.85 [7842]P151(x78423,x78422,x78421)+E(x78421,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x78421),f868(x78421,x78422,x78423))),f867(x78421,x78422,x78423)),x78422)+P108(f330(f330(f239(a1),x78421),f2(a1))) % 199.49/199.85 [7843]P150(x78433,x78432,x78431)+E(x78431,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x78431),f876(x78431,x78432,x78433))),f875(x78431,x78432,x78433)),x78432)+P108(f330(f330(f239(a1),x78431),f2(a1))) % 199.49/199.85 [7926]P150(x79261,x79262,x79263)+~P108(f330(x79261,x79262))+P108(f330(f330(f238(a1),f2(a1)),f875(x79263,x79262,x79261)))+P108(f330(f330(f238(a1),f874(x79263,x79262,x79261)),f2(a1))) % 199.49/199.85 [7955]P151(x79551,x79552,x79553)+P108(f330(f330(f238(a1),f2(a1)),f867(x79553,x79552,x79551)))+~P108(f330(x79551,f2(a1)))+P108(f330(f330(f238(a1),f866(x79553,x79552,x79551)),f2(a1))) % 199.49/199.85 [7964]P150(x79643,x79642,x79641)+~P108(f330(x79643,x79642))+E(f330(f330(f82(a1),f330(f330(f83(a1),x79641),f876(x79641,x79642,x79643))),f875(x79641,x79642,x79643)),x79642)+P108(f330(f330(f239(a1),x79641),f2(a1))) % 199.49/199.85 [7970]P151(x79702,x79703,x79701)+E(x79701,f2(a1))+~P108(f330(x79702,f868(x79701,x79703,x79702)))+P108(f330(f330(f238(a1),f866(x79701,x79703,x79702)),f2(a1))) % 199.49/199.85 [7971]P150(x79712,x79713,x79711)+E(x79711,f2(a1))+~P108(f330(x79712,f875(x79711,x79713,x79712)))+P108(f330(f330(f238(a1),f874(x79711,x79713,x79712)),f2(a1))) % 199.49/199.85 [7976]P151(x79763,x79762,x79761)+E(f330(f330(f82(a1),f330(f330(f83(a1),x79761),f868(x79761,x79762,x79763))),f867(x79761,x79762,x79763)),x79762)+~P108(f330(x79763,f2(a1)))+P108(f330(f330(f239(a1),x79761),f2(a1))) % 199.49/199.85 [8032]P150(x80321,x80322,x80323)+~P108(f330(x80321,x80322))+~P108(f330(x80321,f875(x80323,x80322,x80321)))+P108(f330(f330(f238(a1),f874(x80323,x80322,x80321)),f2(a1))) % 199.49/199.85 [8036]P151(x80361,x80362,x80363)+~P108(f330(x80361,f868(x80363,x80362,x80361)))+~P108(f330(x80361,f2(a1)))+P108(f330(f330(f238(a1),f866(x80363,x80362,x80361)),f2(a1))) % 199.49/199.85 [8103]~P129(x81031)+~P108(f330(f330(f238(x81031),f330(f330(f83(x81031),x81033),x81032)),f2(x81031)))+P108(f330(f330(f238(x81031),x81032),f2(x81031)))+P108(f330(f330(f238(x81031),x81033),f2(x81031))) % 199.49/199.85 [8104]~P68(x81041)+~P108(f330(f330(f238(x81041),f330(f330(f294(x81041),x81043),x81042)),f2(x81041)))+P108(f330(f330(f238(x81041),x81042),f2(x81041)))+P108(f330(f330(f238(x81041),x81043),f2(x81041))) % 199.49/199.85 [8105]~P68(x81051)+~P108(f330(f330(f239(x81051),f330(f330(f294(x81051),x81053),x81052)),f2(x81051)))+P108(f330(f330(f239(x81051),x81052),f2(x81051)))+P108(f330(f330(f239(x81051),x81053),f2(x81051))) % 199.49/199.85 [8218]P151(x82183,x82182,x82181)+E(x82181,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x82181),f868(x82181,x82182,x82183))),f867(x82181,x82182,x82183)),x82182)+P108(f330(f330(f239(a1),x82181),f866(x82181,x82182,x82183))) % 199.49/199.85 [8219]P150(x82193,x82192,x82191)+E(x82191,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x82191),f876(x82191,x82192,x82193))),f875(x82191,x82192,x82193)),x82192)+P108(f330(f330(f239(a1),x82191),f874(x82191,x82192,x82193))) % 199.49/199.85 [8231]P151(x82313,x82312,x82311)+E(x82311,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x82311),f873(x82311,x82312,x82313))),f866(x82311,x82312,x82313)),x82312)+P108(f330(f330(f238(a1),f2(a1)),f867(x82311,x82312,x82313))) % 199.49/199.85 [8232]P150(x82323,x82322,x82321)+E(x82321,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x82321),f877(x82321,x82322,x82323))),f874(x82321,x82322,x82323)),x82322)+P108(f330(f330(f238(a1),f2(a1)),f875(x82321,x82322,x82323))) % 199.49/199.85 [8274]P150(x82743,x82742,x82741)+~P108(f330(x82743,x82742))+E(f330(f330(f82(a1),f330(f330(f83(a1),x82741),f876(x82741,x82742,x82743))),f875(x82741,x82742,x82743)),x82742)+P108(f330(f330(f239(a1),x82741),f874(x82741,x82742,x82743))) % 199.49/199.85 [8283]P151(x82833,x82832,x82831)+E(f330(f330(f82(a1),f330(f330(f83(a1),x82831),f868(x82831,x82832,x82833))),f867(x82831,x82832,x82833)),x82832)+P108(f330(f330(f239(a1),x82831),f866(x82831,x82832,x82833)))+~P108(f330(x82833,f2(a1))) % 199.49/199.85 [8289]P150(x82893,x82892,x82891)+~P108(f330(x82893,x82892))+E(f330(f330(f82(a1),f330(f330(f83(a1),x82891),f877(x82891,x82892,x82893))),f874(x82891,x82892,x82893)),x82892)+P108(f330(f330(f238(a1),f2(a1)),f875(x82891,x82892,x82893))) % 199.49/199.85 [8295]P151(x82953,x82952,x82951)+E(f330(f330(f82(a1),f330(f330(f83(a1),x82951),f873(x82951,x82952,x82953))),f866(x82951,x82952,x82953)),x82952)+P108(f330(f330(f238(a1),f2(a1)),f867(x82951,x82952,x82953)))+~P108(f330(x82953,f2(a1))) % 199.49/199.85 [8306]P151(x83063,x83062,x83061)+E(x83061,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x83061),f868(x83061,x83062,x83063))),f867(x83061,x83062,x83063)),x83062)+~P108(f330(x83063,f873(x83061,x83062,x83063))) % 199.49/199.85 [8307]P150(x83073,x83072,x83071)+E(x83071,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x83071),f876(x83071,x83072,x83073))),f875(x83071,x83072,x83073)),x83072)+~P108(f330(x83073,f874(x83071,x83072,x83073))) % 199.49/199.85 [8308]P151(x83083,x83082,x83081)+E(x83081,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x83081),f873(x83081,x83082,x83083))),f866(x83081,x83082,x83083)),x83082)+~P108(f330(x83083,f868(x83081,x83082,x83083))) % 199.49/199.85 [8309]P150(x83093,x83092,x83091)+E(x83091,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x83091),f877(x83091,x83092,x83093))),f874(x83091,x83092,x83093)),x83092)+~P108(f330(x83093,f875(x83091,x83092,x83093))) % 199.49/199.85 [8368]P150(x83683,x83682,x83681)+~P108(f330(x83683,x83682))+E(f330(f330(f82(a1),f330(f330(f83(a1),x83681),f876(x83681,x83682,x83683))),f875(x83681,x83682,x83683)),x83682)+~P108(f330(x83683,f874(x83681,x83682,x83683))) % 199.49/199.85 [8369]P150(x83693,x83692,x83691)+~P108(f330(x83693,x83692))+E(f330(f330(f82(a1),f330(f330(f83(a1),x83691),f877(x83691,x83692,x83693))),f874(x83691,x83692,x83693)),x83692)+~P108(f330(x83693,f875(x83691,x83692,x83693))) % 199.49/199.85 [8382]P151(x83823,x83822,x83821)+E(f330(f330(f82(a1),f330(f330(f83(a1),x83821),f868(x83821,x83822,x83823))),f867(x83821,x83822,x83823)),x83822)+~P108(f330(x83823,f873(x83821,x83822,x83823)))+~P108(f330(x83823,f2(a1))) % 199.49/199.85 [8383]P151(x83833,x83832,x83831)+E(f330(f330(f82(a1),f330(f330(f83(a1),x83831),f873(x83831,x83832,x83833))),f866(x83831,x83832,x83833)),x83832)+~P108(f330(x83833,f868(x83831,x83832,x83833)))+~P108(f330(x83833,f2(a1))) % 199.49/199.85 [8479]P151(x84793,x84792,x84791)+E(x84791,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x84791),f868(x84791,x84792,x84793))),f867(x84791,x84792,x84793)),x84792)+P108(f330(f330(f238(a1),f866(x84791,x84792,x84793)),f2(a1))) % 199.49/199.85 [8480]P150(x84803,x84802,x84801)+E(x84801,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x84801),f876(x84801,x84802,x84803))),f875(x84801,x84802,x84803)),x84802)+P108(f330(f330(f238(a1),f874(x84801,x84802,x84803)),f2(a1))) % 199.49/199.85 [8519]P150(x85193,x85192,x85191)+~P108(f330(x85193,x85192))+E(f330(f330(f82(a1),f330(f330(f83(a1),x85191),f876(x85191,x85192,x85193))),f875(x85191,x85192,x85193)),x85192)+P108(f330(f330(f238(a1),f874(x85191,x85192,x85193)),f2(a1))) % 199.49/199.85 [8524]P151(x85243,x85242,x85241)+E(f330(f330(f82(a1),f330(f330(f83(a1),x85241),f868(x85241,x85242,x85243))),f867(x85241,x85242,x85243)),x85242)+~P108(f330(x85243,f2(a1)))+P108(f330(f330(f238(a1),f866(x85241,x85242,x85243)),f2(a1))) % 199.49/199.85 [8659]P151(x86593,x86592,x86591)+E(x86591,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x86591),f873(x86591,x86592,x86593))),f866(x86591,x86592,x86593)),x86592)+E(f330(f330(f82(a1),f330(f330(f83(a1),x86591),f868(x86591,x86592,x86593))),f867(x86591,x86592,x86593)),x86592) % 199.49/199.85 [8660]P150(x86603,x86602,x86601)+E(x86601,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x86601),f877(x86601,x86602,x86603))),f874(x86601,x86602,x86603)),x86602)+E(f330(f330(f82(a1),f330(f330(f83(a1),x86601),f876(x86601,x86602,x86603))),f875(x86601,x86602,x86603)),x86602) % 199.49/199.85 [8680]P150(x86803,x86802,x86801)+~P108(f330(x86803,x86802))+E(f330(f330(f82(a1),f330(f330(f83(a1),x86801),f877(x86801,x86802,x86803))),f874(x86801,x86802,x86803)),x86802)+E(f330(f330(f82(a1),f330(f330(f83(a1),x86801),f876(x86801,x86802,x86803))),f875(x86801,x86802,x86803)),x86802) % 199.49/199.85 [8691]P151(x86913,x86912,x86911)+E(f330(f330(f82(a1),f330(f330(f83(a1),x86911),f873(x86911,x86912,x86913))),f866(x86911,x86912,x86913)),x86912)+E(f330(f330(f82(a1),f330(f330(f83(a1),x86911),f868(x86911,x86912,x86913))),f867(x86911,x86912,x86913)),x86912)+~P108(f330(x86913,f2(a1))) % 199.49/199.85 [9357]~P129(x93571)+~E(x93573,f2(x93571))+~E(x93572,f2(x93571))+P108(f330(f330(f238(x93571),f330(f330(f82(x93571),f330(f330(f83(x93571),x93572),x93572)),f330(f330(f83(x93571),x93573),x93573))),f2(x93571))) % 199.49/199.85 [10414]~P121(x104141)+~E(x104143,f2(x104141))+~E(x104142,f2(x104141))+P108(f330(f330(f238(x104141),f330(f330(f82(x104141),f330(f330(f247(x104141),x104142),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f247(x104141),x104143),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))),f2(x104141))) % 199.49/199.85 [5071]~E(x50713,x50711)+~P125(x50712)+E(x50711,f2(x50712))+E(f330(f330(f294(x50712),x50713),x50711),f80(x50712)) % 199.49/199.85 [5124]~P103(x51241)+~E(x51243,f245(x51241))+~E(x51242,f245(x51241))+E(f330(f330(f104(x51241),x51242),x51243),f245(x51241)) % 199.49/199.85 [5125]~P100(x51251)+~E(x51253,f191(x51251))+~E(x51252,f191(x51251))+E(f330(f330(f113(x51251),x51252),x51253),f191(x51251)) % 199.49/199.85 [5218]~P125(x52183)+E(x52181,x52182)+E(x52182,f2(x52183))+~E(f330(f330(f294(x52183),x52181),x52182),f80(x52183)) % 199.49/199.85 [5235]~P144(x52352)+E(x52351,f2(x52352))+E(x52353,f2(x52352))+~E(f330(f330(f83(x52352),x52353),x52351),f2(x52352)) % 199.49/199.85 [5237]~P139(x52372)+E(x52371,f2(x52372))+E(x52373,f2(x52372))+~E(f330(f330(f83(x52372),x52373),x52371),f2(x52372)) % 199.49/199.85 [5613]~P123(x56133)+E(x56131,x56132)+E(x56131,f330(f81(x56133),x56132))+~E(f330(f330(f83(x56133),x56131),x56131),f330(f330(f83(x56133),x56132),x56132)) % 199.49/199.85 [5652]~P97(x56521)+E(f330(f81(x56521),x56522),x56523)+~E(f330(f330(f104(x56521),x56522),x56523),f191(x56521))+~E(f330(f330(f113(x56521),x56522),x56523),f245(x56521)) % 199.49/199.85 [5731]~P121(x57313)+E(x57311,x57312)+P108(f330(f330(f239(x57313),x57312),x57311))+P108(f330(f330(f239(x57313),x57311),x57312)) % 199.49/199.85 [5732]~P110(x57323)+E(x57321,x57322)+P108(f330(f330(f239(x57323),x57322),x57321))+P108(f330(f330(f239(x57323),x57321),x57322)) % 199.49/199.85 [5733]~E(x57332,x57333)+~P110(x57331)+P108(f330(f330(f239(x57331),x57332),x57333))+P108(f330(f330(f238(x57331),x57332),x57333)) % 199.49/199.85 [5993]~P112(x59933)+E(x59931,x59932)+~P108(f330(f330(f238(x59933),x59932),x59931))+P108(f330(f330(f239(x59933),x59932),x59931)) % 199.49/199.85 [5995]~P110(x59953)+E(x59951,x59952)+~P108(f330(f330(f238(x59953),x59951),x59952))+P108(f330(f330(f239(x59953),x59951),x59952)) % 199.49/199.85 [6001]~P112(x60013)+E(x60011,x60012)+~P108(f330(f330(f238(x60013),x60011),x60012))+P108(f330(f330(f239(x60013),x60011),x60012)) % 199.49/199.85 [6106]P150(x61061,x61062,x61063)+~P108(f330(x61061,x61062))+P108(f330(f330(f239(a1),x61063),f2(a1)))+P108(f330(f330(f239(a1),f2(a1)),x61063)) % 199.49/199.85 [6160]P151(x61601,x61602,x61603)+~P108(f330(x61601,f2(a1)))+P108(f330(f330(f239(a1),x61603),f2(a1)))+P108(f330(f330(f239(a1),f2(a1)),x61603)) % 199.49/199.85 [6165]~P99(x61651)+E(f330(f330(f104(x61651),x61652),f13(x61651,x61653)),x61652)+~P108(f330(f62(x61651),x61653))+~P108(f330(f330(f332(x61651),x61652),x61653)) % 199.49/199.85 [6166]~P99(x61661)+E(f330(f330(f113(x61661),x61662),f10(x61661,x61663)),x61662)+~P108(f330(f62(x61661),x61663))+~P108(f330(f330(f332(x61661),x61662),x61663)) % 199.49/199.85 [6204]~P110(x62041)+E(f330(f330(f236(x62041),x62042),f14(x62041,x62043)),f14(x62041,x62043))+~P108(f330(f62(x62041),x62043))+~P108(f330(f330(f332(x62041),x62042),x62043)) % 199.49/199.85 [6205]~P110(x62051)+E(f330(f330(f237(x62051),x62052),f15(x62051,x62053)),f15(x62051,x62053))+~P108(f330(f62(x62051),x62053))+~P108(f330(f330(f332(x62051),x62052),x62053)) % 199.49/199.85 [6206]~P99(x62061)+E(f330(f330(f104(x62061),x62062),f10(x62061,x62063)),f10(x62061,x62063))+~P108(f330(f62(x62061),x62063))+~P108(f330(f330(f332(x62061),x62062),x62063)) % 199.49/199.85 [6207]~P99(x62071)+E(f330(f330(f113(x62071),x62072),f13(x62071,x62073)),f13(x62071,x62073))+~P108(f330(f62(x62071),x62073))+~P108(f330(f330(f332(x62071),x62072),x62073)) % 199.49/199.85 [6246]E(x62461,x62462)+~P112(x62463)+~P108(f330(f330(f238(x62463),x62462),x62461))+~P108(f330(f330(f238(x62463),x62461),x62462)) % 199.49/199.85 [6390]~P109(x63901)+P108(f330(f330(f239(x63901),x63903),x63902))+~P108(f330(f330(f238(x63901),x63903),x63902))+P108(f330(f330(f238(x63901),x63902),x63903)) % 199.49/199.85 [6416]~P110(x64161)+~P108(f330(f62(x64161),x64163))+P108(f330(f330(f238(x64161),x64162),f15(x64161,x64163)))+~P108(f330(f330(f332(x64161),x64162),x64163)) % 199.49/199.85 [6462]~P110(x64621)+E(f330(f330(f236(x64621),x64622),f12(x64621,f237(x64621),x64623)),x64622)+~P108(f330(f62(x64621),x64623))+~P108(f330(f330(f332(x64621),x64622),x64623)) % 199.49/199.85 [6463]~P110(x64631)+E(f330(f330(f237(x64631),x64632),f11(x64631,f236(x64631),x64633)),x64632)+~P108(f330(f62(x64631),x64633))+~P108(f330(f330(f332(x64631),x64632),x64633)) % 199.49/199.85 [6604]E(x66041,x66042)+~E(f330(f330(f23(a928),x66041),x66043),f330(f330(f23(a928),x66042),x66043))+~P108(f330(f330(f238(a928),x66043),x66041))+~P108(f330(f330(f238(a928),x66043),x66042)) % 199.49/199.85 [6630]~P110(x66301)+~P108(f330(f62(x66301),x66302))+~P108(f330(f330(f332(x66301),x66303),x66302))+P108(f330(f330(f238(x66301),f14(x66301,x66302)),x66303)) % 199.49/199.85 [6695]P151(x66952,x66953,x66951)+E(x66951,f2(a1))+P108(f330(f330(f239(a1),x66951),f866(x66951,x66953,x66952)))+P108(f330(f330(f239(a1),f2(a1)),x66951)) % 199.49/199.85 [6696]P150(x66962,x66963,x66961)+E(x66961,f2(a1))+P108(f330(f330(f239(a1),x66961),f874(x66961,x66963,x66962)))+P108(f330(f330(f239(a1),f2(a1)),x66961)) % 199.49/199.85 [6697]~P110(x66971)+E(f330(f330(f236(x66971),x66972),f11(x66971,f236(x66971),x66973)),f11(x66971,f236(x66971),x66973))+~P108(f330(f62(x66971),x66973))+~P108(f330(f330(f332(x66971),x66972),x66973)) % 199.49/199.85 [6698]~P110(x66981)+E(f330(f330(f237(x66981),x66982),f12(x66981,f237(x66981),x66983)),f12(x66981,f237(x66981),x66983))+~P108(f330(f62(x66981),x66983))+~P108(f330(f330(f332(x66981),x66982),x66983)) % 199.49/199.85 [6704]~P108(f330(x67041,x67042))+P108(f330(x67041,f598(x67042,x67041,x67043)))+P108(f330(x67041,f2(a928)))+~P108(f330(f330(f239(a928),x67042),x67043)) % 199.49/199.85 [6762]~P108(f330(x67621,x67622))+~P108(f330(f62(x67623),x67622))+P108(f330(x67621,f599(x67621,x67622,x67623)))+P108(f330(x67621,f191(f935(x67623,a923)))) % 199.49/199.85 [6775]~P121(x67751)+~P95(x67751)+P108(f330(f330(f238(x67751),f330(f106(x67751),x67752)),f330(f106(x67751),x67753)))+~P108(f330(f330(f238(a1),x67752),x67753)) % 199.49/199.85 [6776]~P121(x67761)+~P95(x67761)+P108(f330(f330(f239(x67761),f330(f106(x67761),x67762)),f330(f106(x67761),x67763)))+~P108(f330(f330(f239(a1),x67762),x67763)) % 199.49/199.85 [6779]~P108(f330(x67791,x67793))+~P108(f330(f62(x67792),x67793))+P108(f330(f62(x67792),f599(x67791,x67793,x67792)))+P108(f330(x67791,f191(f935(x67792,a923)))) % 199.49/199.85 [6812]P150(x68121,x68122,x68123)+~P108(f330(x68121,x68122))+P108(f330(f330(f239(a1),x68123),f874(x68123,x68122,x68121)))+P108(f330(f330(f239(a1),f2(a1)),x68123)) % 199.49/199.85 [6848]P151(x68481,x68482,x68483)+P108(f330(f330(f239(a1),x68483),f866(x68483,x68482,x68481)))+~P108(f330(x68481,f2(a1)))+P108(f330(f330(f239(a1),f2(a1)),x68483)) % 199.49/199.85 [6878]~P111(x68781)+~P94(x68781)+E(f330(f330(f236(x68781),f330(f106(x68781),x68782)),f330(f106(x68781),x68783)),f330(f106(x68781),x68783))+P108(f330(f330(f238(x68781),f330(f106(x68781),x68782)),f330(f106(x68781),x68783))) % 199.49/199.85 [6879]~P111(x68791)+~P94(x68791)+E(f330(f330(f237(x68791),f330(f106(x68791),x68792)),f330(f106(x68791),x68793)),f330(f106(x68791),x68792))+P108(f330(f330(f238(x68791),f330(f106(x68791),x68792)),f330(f106(x68791),x68793))) % 199.49/199.85 [6937]P151(x69372,x69373,x69371)+E(x69371,f2(a1))+~P108(f330(x69372,f873(x69371,x69373,x69372)))+P108(f330(f330(f239(a1),f2(a1)),x69371)) % 199.49/199.85 [6938]P150(x69382,x69383,x69381)+E(x69381,f2(a1))+~P108(f330(x69382,f874(x69381,x69383,x69382)))+P108(f330(f330(f239(a1),f2(a1)),x69381)) % 199.49/199.85 [6942]P108(f330(x69421,x69422))+~P108(f330(f62(x69423),x69422))+P108(f330(x69421,f893(x69421,x69422,x69423)))+~P108(f330(x69421,f191(f935(x69423,a923)))) % 199.49/199.85 [6962]P108(f330(x69621,x69622))+P108(f330(f62(x69623),f893(x69621,x69622,x69623)))+~P108(f330(f62(x69623),x69622))+~P108(f330(x69621,f191(f935(x69623,a923)))) % 199.49/199.85 [7025]P150(x70251,x70252,x70253)+~P108(f330(x70251,x70252))+~P108(f330(x70251,f874(x70253,x70252,x70251)))+P108(f330(f330(f239(a1),f2(a1)),x70253)) % 199.49/199.85 [7055]P151(x70551,x70552,x70553)+~P108(f330(x70551,f873(x70553,x70552,x70551)))+~P108(f330(x70551,f2(a1)))+P108(f330(f330(f239(a1),f2(a1)),x70553)) % 199.49/199.85 [7162]~P95(x71623)+~P121(x71623)+~P108(f330(f330(f238(x71623),f330(f106(x71623),x71621)),f330(f106(x71623),x71622)))+P108(f330(f330(f238(a1),x71621),x71622)) % 199.49/199.85 [7163]~P95(x71633)+~P121(x71633)+~P108(f330(f330(f239(x71633),f330(f106(x71633),x71631)),f330(f106(x71633),x71632)))+P108(f330(f330(f239(a1),x71631),x71632)) % 199.49/199.85 [7192]~P110(x71921)+~P13(x71921,x71923)+P13(x71921,f330(f330(f154(x71921),x71922),x71923))+~P108(f330(f330(f238(x71921),x71922),f721(x71923,x71922,x71921))) % 199.49/199.85 [7193]~P110(x71931)+~P13(x71931,x71933)+P13(x71931,f330(f330(f154(x71931),x71932),x71933))+~P108(f330(f330(f238(x71931),x71932),f723(x71933,x71932,x71931))) % 199.49/199.85 [7194]~P110(x71941)+~P13(x71941,x71943)+P13(x71941,f330(f330(f154(x71941),x71942),x71943))+~P108(f330(f330(f238(x71941),x71942),f763(x71942,x71943,x71941))) % 199.49/199.85 [7277]P151(x72772,x72773,x72771)+E(x72771,f2(a1))+P108(f330(f330(f239(a1),x72771),f2(a1)))+P108(f330(f330(f239(a1),f867(x72771,x72773,x72772)),x72771)) % 199.49/199.85 [7278]P150(x72782,x72783,x72781)+E(x72781,f2(a1))+P108(f330(f330(f239(a1),x72781),f2(a1)))+P108(f330(f330(f239(a1),f875(x72781,x72783,x72782)),x72781)) % 199.49/199.85 [7316]P151(x73162,x73163,x73161)+E(x73161,f2(a1))+P108(f330(f330(f238(a1),f866(x73161,x73163,x73162)),f2(a1)))+P108(f330(f330(f239(a1),f2(a1)),x73161)) % 199.49/199.85 [7317]P150(x73172,x73173,x73171)+E(x73171,f2(a1))+P108(f330(f330(f238(a1),f874(x73171,x73173,x73172)),f2(a1)))+P108(f330(f330(f239(a1),f2(a1)),x73171)) % 199.49/199.85 [7342]~P110(x73421)+~P13(x73421,x73423)+E(f330(f330(f151(x73421,x73421,f5(x73421)),x73422),f173(x73421,x73422,x73423)),x73423)+~P108(f330(f330(f332(x73421),x73422),f330(f175(x73421),x73423))) % 199.49/199.85 [7389]P150(x73891,x73892,x73893)+~P108(f330(x73891,x73892))+P108(f330(f330(f239(a1),x73893),f2(a1)))+P108(f330(f330(f239(a1),f875(x73893,x73892,x73891)),x73893)) % 199.49/199.85 [7395]~P111(x73951)+~P94(x73951)+E(f330(f330(f236(x73951),f330(f106(x73951),x73952)),f330(f106(x73951),x73953)),f330(f106(x73951),x73952))+~P108(f330(f330(f238(x73951),f330(f106(x73951),x73952)),f330(f106(x73951),x73953))) % 199.49/199.85 [7396]~P111(x73961)+~P94(x73961)+E(f330(f330(f237(x73961),f330(f106(x73961),x73962)),f330(f106(x73961),x73963)),f330(f106(x73961),x73963))+~P108(f330(f330(f238(x73961),f330(f106(x73961),x73962)),f330(f106(x73961),x73963))) % 199.49/199.85 [7410]P151(x74101,x74102,x74103)+~P108(f330(x74101,f2(a1)))+P108(f330(f330(f239(a1),x74103),f2(a1)))+P108(f330(f330(f239(a1),f867(x74103,x74102,x74101)),x74103)) % 199.49/199.85 [7420]P150(x74201,x74202,x74203)+~P108(f330(x74201,x74202))+P108(f330(f330(f238(a1),f874(x74203,x74202,x74201)),f2(a1)))+P108(f330(f330(f239(a1),f2(a1)),x74203)) % 199.49/199.85 [7444]P151(x74441,x74442,x74443)+~P108(f330(x74441,f2(a1)))+P108(f330(f330(f238(a1),f866(x74443,x74442,x74441)),f2(a1)))+P108(f330(f330(f239(a1),f2(a1)),x74443)) % 199.49/199.85 [7472]~P108(f330(x74721,x74722))+P108(f330(x74721,f2(a928)))+~P108(f330(f330(f239(a928),x74722),x74723))+P108(f330(f330(f239(a928),f598(x74722,x74721,x74723)),x74723)) % 199.49/199.85 [7489]~P110(x74891)+~P13(x74891,x74893)+P13(x74891,f330(f330(f154(x74891),x74892),x74893))+P108(f330(f330(f332(x74891),f721(x74893,x74892,x74891)),f330(f175(x74891),x74893))) % 199.49/199.85 [7490]~P110(x74901)+~P13(x74901,x74903)+P13(x74901,f330(f330(f154(x74901),x74902),x74903))+P108(f330(f330(f332(x74901),f723(x74903,x74902,x74901)),f330(f175(x74901),x74903))) % 199.49/199.85 [7491]~P110(x74911)+~P13(x74911,x74913)+P13(x74911,f330(f330(f154(x74911),x74912),x74913))+P108(f330(f330(f332(x74911),f763(x74912,x74913,x74911)),f330(f175(x74911),x74913))) % 199.49/199.85 [7604]~P110(x76041)+~P5(x76041)+~P108(f330(f330(f239(x76041),x76043),f38(x76041,x76042)))+P108(f330(f330(f332(x76041),f518(x76042,x76043,x76041)),x76042)) % 199.49/199.85 [7757]~P110(x77571)+~P5(x77571)+~P108(f330(f330(f239(x77571),f39(x77571,x77573)),x77572))+P108(f330(f330(f332(x77571),f520(x77572,x77573,x77571)),x77573)) % 199.49/199.85 [7758]~P110(x77581)+~P5(x77581)+~P108(f330(f330(f239(x77581),f39(x77581,x77583)),x77582))+P108(f330(f330(f239(x77581),f520(x77582,x77583,x77581)),x77582)) % 199.49/199.85 [7771]P151(x77712,x77713,x77711)+E(x77711,f2(a1))+P108(f330(f330(f239(a1),x77711),f866(x77711,x77713,x77712)))+P108(f330(f330(f239(a1),f867(x77711,x77713,x77712)),x77711)) % 199.49/199.85 [7772]P150(x77722,x77723,x77721)+E(x77721,f2(a1))+P108(f330(f330(f239(a1),x77721),f874(x77721,x77723,x77722)))+P108(f330(f330(f239(a1),f875(x77721,x77723,x77722)),x77721)) % 199.49/199.85 [7865]P151(x78653,x78652,x78651)+E(x78651,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x78651),f873(x78651,x78652,x78653))),f866(x78651,x78652,x78653)),x78652)+P108(f330(f330(f239(a1),f2(a1)),x78651)) % 199.49/199.85 [7866]P150(x78663,x78662,x78661)+E(x78661,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x78661),f877(x78661,x78662,x78663))),f874(x78661,x78662,x78663)),x78662)+P108(f330(f330(f239(a1),f2(a1)),x78661)) % 199.49/199.85 [7868]~P129(x78681)+~P108(f330(f330(f238(x78681),x78683),f2(x78681)))+P108(f330(f330(f238(x78681),f330(f330(f83(x78681),x78682),x78683)),f2(x78681)))+~P108(f330(f330(f238(x78681),f2(x78681)),x78682)) % 199.49/199.85 [7869]~P129(x78691)+~P108(f330(f330(f238(x78691),x78692),f2(x78691)))+P108(f330(f330(f238(x78691),f330(f330(f83(x78691),x78692),x78693)),f2(x78691)))+~P108(f330(f330(f238(x78691),f2(x78691)),x78693)) % 199.49/199.85 [7871]~P140(x78711)+~P108(f330(f330(f238(x78711),x78713),f2(x78711)))+P108(f330(f330(f238(x78711),f330(f330(f83(x78711),x78712),x78713)),f2(x78711)))+~P108(f330(f330(f238(x78711),f2(x78711)),x78712)) % 199.49/199.85 [7873]~P140(x78731)+~P108(f330(f330(f238(x78731),x78732),f2(x78731)))+P108(f330(f330(f238(x78731),f330(f330(f83(x78731),x78732),x78733)),f2(x78731)))+~P108(f330(f330(f238(x78731),f2(x78731)),x78733)) % 199.49/199.85 [7874]~P69(x78741)+~P108(f330(f330(f238(x78741),x78742),f2(x78741)))+P108(f330(f330(f238(x78741),f330(f330(f294(x78741),x78742),x78743)),f2(x78741)))+~P108(f330(f330(f239(x78741),f2(x78741)),x78743)) % 199.49/199.85 [7875]~P69(x78751)+~P108(f330(f330(f239(x78751),x78753),f2(x78751)))+P108(f330(f330(f238(x78751),f330(f330(f294(x78751),x78752),x78753)),f2(x78751)))+~P108(f330(f330(f238(x78751),f2(x78751)),x78752)) % 199.49/199.85 [7876]~P68(x78761)+~P108(f330(f330(f238(x78761),x78763),f2(x78761)))+P108(f330(f330(f238(x78761),f330(f330(f294(x78761),x78762),x78763)),f2(x78761)))+~P108(f330(f330(f238(x78761),f2(x78761)),x78762)) % 199.49/199.85 [7877]~P68(x78771)+~P108(f330(f330(f238(x78771),x78772),f2(x78771)))+P108(f330(f330(f238(x78771),f330(f330(f294(x78771),x78772),x78773)),f2(x78771)))+~P108(f330(f330(f238(x78771),f2(x78771)),x78773)) % 199.49/199.85 [7879]~P138(x78791)+~P108(f330(f330(f239(x78791),x78793),f2(x78791)))+P108(f330(f330(f239(x78791),f330(f330(f83(x78791),x78792),x78793)),f2(x78791)))+~P108(f330(f330(f239(x78791),f2(x78791)),x78792)) % 199.49/199.85 [7880]~P138(x78801)+~P108(f330(f330(f239(x78801),x78802),f2(x78801)))+P108(f330(f330(f239(x78801),f330(f330(f83(x78801),x78802),x78803)),f2(x78801)))+~P108(f330(f330(f239(x78801),f2(x78801)),x78803)) % 199.49/199.85 [7881]~P69(x78811)+~P108(f330(f330(f239(x78811),x78813),f2(x78811)))+P108(f330(f330(f239(x78811),f330(f330(f294(x78811),x78812),x78813)),f2(x78811)))+~P108(f330(f330(f239(x78811),f2(x78811)),x78812)) % 199.49/199.85 [7882]~P69(x78821)+~P108(f330(f330(f239(x78821),x78822),f2(x78821)))+P108(f330(f330(f239(x78821),f330(f330(f294(x78821),x78822),x78823)),f2(x78821)))+~P108(f330(f330(f239(x78821),f2(x78821)),x78823)) % 199.49/199.85 [7883]~P68(x78831)+~P108(f330(f330(f239(x78831),x78833),f2(x78831)))+P108(f330(f330(f239(x78831),f330(f330(f294(x78831),x78832),x78833)),f2(x78831)))+~P108(f330(f330(f239(x78831),f2(x78831)),x78832)) % 199.49/199.85 [7884]~P68(x78841)+~P108(f330(f330(f239(x78841),x78842),f2(x78841)))+P108(f330(f330(f239(x78841),f330(f330(f294(x78841),x78842),x78843)),f2(x78841)))+~P108(f330(f330(f239(x78841),f2(x78841)),x78843)) % 199.49/199.85 [7899]P150(x78991,x78992,x78993)+~P108(f330(x78991,x78992))+P108(f330(f330(f239(a1),x78993),f874(x78993,x78992,x78991)))+P108(f330(f330(f239(a1),f875(x78993,x78992,x78991)),x78993)) % 199.49/199.85 [7912]P151(x79121,x79122,x79123)+P108(f330(f330(f239(a1),x79123),f866(x79123,x79122,x79121)))+~P108(f330(x79121,f2(a1)))+P108(f330(f330(f239(a1),f867(x79123,x79122,x79121)),x79123)) % 199.49/199.85 [7962]P151(x79622,x79623,x79621)+E(x79621,f2(a1))+~P108(f330(x79622,f873(x79621,x79623,x79622)))+P108(f330(f330(f239(a1),f867(x79621,x79623,x79622)),x79621)) % 199.49/199.85 [7963]P150(x79632,x79633,x79631)+E(x79631,f2(a1))+~P108(f330(x79632,f874(x79631,x79633,x79632)))+P108(f330(f330(f239(a1),f875(x79631,x79633,x79632)),x79631)) % 199.49/199.85 [7973]P150(x79733,x79732,x79731)+~P108(f330(x79733,x79732))+E(f330(f330(f82(a1),f330(f330(f83(a1),x79731),f877(x79731,x79732,x79733))),f874(x79731,x79732,x79733)),x79732)+P108(f330(f330(f239(a1),f2(a1)),x79731)) % 199.49/199.85 [7988]P151(x79883,x79882,x79881)+E(f330(f330(f82(a1),f330(f330(f83(a1),x79881),f873(x79881,x79882,x79883))),f866(x79881,x79882,x79883)),x79882)+~P108(f330(x79883,f2(a1)))+P108(f330(f330(f239(a1),f2(a1)),x79881)) % 199.49/199.85 [8016]~P108(f330(x80161,x80163))+~P108(f330(f62(x80162),x80163))+P108(f330(f330(f332(x80162),f589(x80161,x80163,x80162)),f599(x80161,x80163,x80162)))+P108(f330(x80161,f191(f935(x80162,a923)))) % 199.49/199.85 [8027]P150(x80271,x80272,x80273)+~P108(f330(x80271,x80272))+~P108(f330(x80271,f874(x80273,x80272,x80271)))+P108(f330(f330(f239(a1),f875(x80273,x80272,x80271)),x80273)) % 199.49/199.85 [8033]P151(x80331,x80332,x80333)+~P108(f330(x80331,f873(x80333,x80332,x80331)))+~P108(f330(x80331,f2(a1)))+P108(f330(f330(f239(a1),f867(x80333,x80332,x80331)),x80333)) % 199.49/199.85 [8134]~P129(x81341)+~P108(f330(f330(f238(x81341),f330(f330(f83(x81341),x81343),x81342)),f2(x81341)))+P108(f330(f330(f238(x81341),x81342),f2(x81341)))+P108(f330(f330(f238(x81341),f2(x81341)),x81342)) % 199.49/199.85 [8135]~P129(x81351)+~P108(f330(f330(f238(x81351),f330(f330(f83(x81351),x81352),x81353)),f2(x81351)))+P108(f330(f330(f238(x81351),x81352),f2(x81351)))+P108(f330(f330(f238(x81351),f2(x81351)),x81352)) % 199.49/199.85 [8136]~P68(x81361)+~P108(f330(f330(f238(x81361),f330(f330(f294(x81361),x81363),x81362)),f2(x81361)))+P108(f330(f330(f238(x81361),x81362),f2(x81361)))+P108(f330(f330(f238(x81361),f2(x81361)),x81362)) % 199.49/199.85 [8137]~P68(x81371)+~P108(f330(f330(f238(x81371),f330(f330(f294(x81371),x81372),x81373)),f2(x81371)))+P108(f330(f330(f238(x81371),x81372),f2(x81371)))+P108(f330(f330(f238(x81371),f2(x81371)),x81372)) % 199.49/199.85 [8138]~P68(x81381)+~P108(f330(f330(f239(x81381),f330(f330(f294(x81381),x81383),x81382)),f2(x81381)))+P108(f330(f330(f239(x81381),x81382),f2(x81381)))+P108(f330(f330(f239(x81381),f2(x81381)),x81382)) % 199.49/199.85 [8139]~P68(x81391)+~P108(f330(f330(f239(x81391),f330(f330(f294(x81391),x81392),x81393)),f2(x81391)))+P108(f330(f330(f239(x81391),x81392),f2(x81391)))+P108(f330(f330(f239(x81391),f2(x81391)),x81392)) % 199.49/199.85 [8163]~P129(x81631)+~P108(f330(f330(f238(x81631),f330(f330(f83(x81631),x81632),x81633)),f2(x81631)))+P108(f330(f330(f238(x81631),f2(x81631)),x81632))+P108(f330(f330(f238(x81631),f2(x81631)),x81633)) % 199.49/199.85 [8164]~P68(x81641)+~P108(f330(f330(f238(x81641),f330(f330(f294(x81641),x81642),x81643)),f2(x81641)))+P108(f330(f330(f238(x81641),f2(x81641)),x81642))+P108(f330(f330(f238(x81641),f2(x81641)),x81643)) % 199.49/199.85 [8165]~P68(x81651)+~P108(f330(f330(f239(x81651),f330(f330(f294(x81651),x81652),x81653)),f2(x81651)))+P108(f330(f330(f239(x81651),f2(x81651)),x81652))+P108(f330(f330(f239(x81651),f2(x81651)),x81653)) % 199.49/199.85 [8187]P151(x81872,x81873,x81871)+E(x81871,f2(a1))+P108(f330(f330(f238(a1),f866(x81871,x81873,x81872)),f2(a1)))+P108(f330(f330(f239(a1),f867(x81871,x81873,x81872)),x81871)) % 199.49/199.85 [8188]P150(x81882,x81883,x81881)+E(x81881,f2(a1))+P108(f330(f330(f238(a1),f874(x81881,x81883,x81882)),f2(a1)))+P108(f330(f330(f239(a1),f875(x81881,x81883,x81882)),x81881)) % 199.49/199.85 [8195]~P113(x81951)+~P108(f330(f330(f239(x81951),x81952),f80(x81951)))+P108(f330(f330(f239(x81951),f330(f330(f247(x81951),x81952),f330(a115,x81953))),f80(x81951)))+~P108(f330(f330(f239(x81951),f2(x81951)),x81952)) % 199.49/199.85 [8248]~P110(x82481)+~E(x82483,f116(x82481))+~P13(x82481,f330(f171(x82481),x82483))+E(f330(f145(x82481,x82481,f330(f7(x82481,x82481,x82481),f237(x82481)),x82482),f330(f171(x82481),x82483)),x82482) % 199.49/199.85 [8251]P150(x82511,x82512,x82513)+~P108(f330(x82511,x82512))+P108(f330(f330(f238(a1),f874(x82513,x82512,x82511)),f2(a1)))+P108(f330(f330(f239(a1),f875(x82513,x82512,x82511)),x82513)) % 199.49/199.85 [8258]P151(x82581,x82582,x82583)+~P108(f330(x82581,f2(a1)))+P108(f330(f330(f238(a1),f866(x82583,x82582,x82581)),f2(a1)))+P108(f330(f330(f239(a1),f867(x82583,x82582,x82581)),x82583)) % 199.49/199.85 [8474]P151(x84743,x84742,x84741)+E(x84741,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x84741),f873(x84741,x84742,x84743))),f866(x84741,x84742,x84743)),x84742)+P108(f330(f330(f239(a1),f867(x84741,x84742,x84743)),x84741)) % 199.49/199.85 [8475]P150(x84753,x84752,x84751)+E(x84751,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x84751),f877(x84751,x84752,x84753))),f874(x84751,x84752,x84753)),x84752)+P108(f330(f330(f239(a1),f875(x84751,x84752,x84753)),x84751)) % 199.49/199.85 [8510]P150(x85103,x85102,x85101)+~P108(f330(x85103,x85102))+E(f330(f330(f82(a1),f330(f330(f83(a1),x85101),f877(x85101,x85102,x85103))),f874(x85101,x85102,x85103)),x85102)+P108(f330(f330(f239(a1),f875(x85101,x85102,x85103)),x85101)) % 199.49/199.85 [8511]~P72(x85111)+~P76(x85111)+~P42(x85113)+E(f330(f330(f9(a928,x85111),f330(f330(f8(a1,x85111,a928),x85112),f103(a1))),f330(f313(a1,a928,a107),x85113)),f330(f330(f9(a1,x85111),x85112),x85113)) % 199.49/199.85 [8512]~P72(x85121)+~P76(x85121)+~P42(x85123)+E(f330(f330(f6(a928,x85121),f330(f330(f8(a1,x85121,a928),x85122),f103(a1))),f330(f313(a1,a928,a107),x85123)),f330(f330(f6(a1,x85121),x85122),x85123)) % 199.49/199.85 [8521]P151(x85213,x85212,x85211)+E(f330(f330(f82(a1),f330(f330(f83(a1),x85211),f873(x85211,x85212,x85213))),f866(x85211,x85212,x85213)),x85212)+~P108(f330(x85213,f2(a1)))+P108(f330(f330(f239(a1),f867(x85211,x85212,x85213)),x85211)) % 199.49/199.85 [8544]~E(x85442,f2(a928))+~E(f330(f254(a928,a928),x85443),f2(a928))+~E(x85441,f330(f330(f82(a928),f330(f330(f83(a928),f330(f254(a928,a928),x85443)),x85442)),f330(f259(a928,a928),x85443)))+P108(f330(f49(x85441,x85442),x85443)) % 199.49/199.85 [8600]P108(f330(x86001,x86002))+~P108(f330(f330(f332(x86003),f894(x86001,x86002,x86003)),f893(x86001,x86002,x86003)))+~P108(f330(f62(x86003),x86002))+~P108(f330(x86001,f191(f935(x86003,a923)))) % 199.49/199.85 [9228]P108(f330(x92281,x92282))+~P108(f330(f62(x92283),x92282))+~P108(f330(x92281,f330(f330(f312(x92283),f894(x92281,x92282,x92283)),f893(x92281,x92282,x92283))))+~P108(f330(x92281,f191(f935(x92283,a923)))) % 199.49/199.85 [9459]P108(f330(f330(f238(a1),x94591),f2(a1)))+~P108(f330(f330(f239(a1),f330(f330(f82(a1),f330(f330(f83(a1),x94593),x94591)),x94592)),f2(a1)))+~P108(f330(f330(f238(a1),f2(a1)),x94592))+~P108(f330(f330(f239(a1),f2(a1)),x94593)) % 199.49/199.85 [6063]~P110(x60632)+E(x60631,f191(f935(x60632,a923)))+~P108(f330(f62(x60632),x60631))+E(f14(x60632,f330(f330(f312(x60632),x60633),x60631)),f330(f330(f236(x60632),x60633),f14(x60632,x60631))) % 199.49/199.85 [6064]~P110(x60642)+E(x60641,f191(f935(x60642,a923)))+~P108(f330(f62(x60642),x60641))+E(f15(x60642,f330(f330(f312(x60642),x60643),x60641)),f330(f330(f237(x60642),x60643),f15(x60642,x60641))) % 199.49/199.85 [6065]~P99(x60652)+E(x60651,f191(f935(x60652,a923)))+~P108(f330(f62(x60652),x60651))+E(f13(x60652,f330(f330(f312(x60652),x60653),x60651)),f330(f330(f113(x60652),x60653),f13(x60652,x60651))) % 199.49/199.85 [6066]~P99(x60662)+E(x60661,f191(f935(x60662,a923)))+~P108(f330(f62(x60662),x60661))+E(f10(x60662,f330(f330(f312(x60662),x60663),x60661)),f330(f330(f104(x60662),x60663),f10(x60662,x60661))) % 199.49/199.85 [6387]~P129(x63871)+~E(x63873,f2(x63871))+~E(x63872,f2(x63871))+E(f330(f330(f82(x63871),f330(f330(f83(x63871),x63872),x63872)),f330(f330(f83(x63871),x63873),x63873)),f2(x63871)) % 199.49/199.85 [6455]~P98(x64552)+E(x64551,f191(f935(x64552,a923)))+~P108(f330(f62(x64552),x64551))+E(f330(f64(x64552,f83(x64552)),f330(f330(f312(x64552),x64553),x64551)),f330(f330(f83(x64552),x64553),f330(f64(x64552,f83(x64552)),x64551))) % 199.49/199.85 [6580]~P110(x65802)+E(x65801,f191(f935(x65802,a923)))+~P108(f330(f62(x65802),x65801))+E(f11(x65802,f236(x65802),f330(f330(f312(x65802),x65803),x65801)),f330(f330(f236(x65802),x65803),f11(x65802,f236(x65802),x65801))) % 199.49/199.85 [6581]~P110(x65812)+E(x65811,f191(f935(x65812,a923)))+~P108(f330(f62(x65812),x65811))+E(f12(x65812,f237(x65812),f330(f330(f312(x65812),x65813),x65811)),f330(f330(f237(x65812),x65813),f12(x65812,f237(x65812),x65811))) % 199.49/199.85 [7089]~P70(x70891)+~P108(f330(f62(x70891),x70893))+E(f330(f64(x70891,f83(x70891)),f330(f330(f312(x70891),x70892),x70893)),f330(f330(f65(x70891,x70891,f83(x70891)),x70892),x70893))+P108(f330(f330(f332(x70891),x70892),x70893)) % 199.49/199.85 [7170]~E(f330(f330(f82(a1),x71702),f330(f330(f83(a1),x71703),x71701)),x71703)+~P108(f330(f330(f239(a1),f2(a1)),x71703))+P108(f330(f330(f238(a1),f80(a1)),x71701))+~P108(f330(f330(f239(a1),x71702),x71703)) % 199.49/199.85 [7199]~E(f330(f330(f82(a1),x71992),f330(f330(f83(a1),x71993),x71991)),x71993)+P108(f330(f330(f238(a1),x71991),f80(a1)))+~P108(f330(f330(f238(a1),f2(a1)),x71992))+~P108(f330(f330(f239(a1),f2(a1)),x71993)) % 199.49/199.85 [7215]E(x72151,f2(a928))+~P108(f330(f49(x72153,x72151),x72152))+~P108(f330(f330(f239(a928),f2(a928)),x72151))+P108(f330(f330(f239(a928),f330(f259(a928,a928),x72152)),x72151)) % 199.49/199.85 [7245]~P143(x72451)+~P108(f330(f330(f238(x72451),x72452),f2(x72451)))+~P108(f330(f330(f238(x72451),x72453),f2(x72451)))+E(f330(f330(f83(x72451),f330(f77(x72451),x72452)),f330(f77(x72451),x72453)),f330(f77(x72451),f330(f330(f83(x72451),x72452),x72453))) % 199.49/199.85 [7293]~P143(x72931)+~P108(f330(f330(f238(x72931),x72932),f2(x72931)))+E(f330(f330(f83(x72931),f330(f77(x72931),x72932)),f330(f77(x72931),x72933)),f330(f77(x72931),f330(f330(f83(x72931),x72932),x72933)))+~P108(f330(f330(f238(x72931),f2(x72931)),x72933)) % 199.49/199.85 [7294]~P143(x72941)+~P108(f330(f330(f238(x72941),x72943),f2(x72941)))+E(f330(f330(f83(x72941),f330(f77(x72941),x72942)),f330(f77(x72941),x72943)),f330(f77(x72941),f330(f330(f83(x72941),x72942),x72943)))+~P108(f330(f330(f238(x72941),f2(x72941)),x72942)) % 199.49/199.85 [7350]~P143(x73501)+E(f330(f330(f83(x73501),f330(f77(x73501),x73502)),f330(f77(x73501),x73503)),f330(f77(x73501),f330(f330(f83(x73501),x73502),x73503)))+~P108(f330(f330(f238(x73501),f2(x73501)),x73502))+~P108(f330(f330(f238(x73501),f2(x73501)),x73503)) % 199.49/199.85 [7367]~P133(x73671)+~P108(f330(f330(f238(x73671),x73673),f2(x73671)))+~P108(f330(f330(f238(x73671),x73672),f2(x73671)))+P108(f330(f330(f238(x73671),f2(x73671)),f330(f330(f83(x73671),x73672),x73673))) % 199.49/199.85 [7368]~P129(x73681)+~P108(f330(f330(f238(x73681),x73683),f2(x73681)))+~P108(f330(f330(f238(x73681),x73682),f2(x73681)))+P108(f330(f330(f238(x73681),f2(x73681)),f330(f330(f83(x73681),x73682),x73683))) % 199.49/199.85 [7369]~P69(x73691)+~P108(f330(f330(f239(x73691),x73693),f2(x73691)))+~P108(f330(f330(f238(x73691),x73692),f2(x73691)))+P108(f330(f330(f238(x73691),f2(x73691)),f330(f330(f294(x73691),x73692),x73693))) % 199.49/199.85 [7370]~P68(x73701)+~P108(f330(f330(f238(x73701),x73703),f2(x73701)))+~P108(f330(f330(f238(x73701),x73702),f2(x73701)))+P108(f330(f330(f238(x73701),f2(x73701)),f330(f330(f294(x73701),x73702),x73703))) % 199.49/199.85 [7371]~P129(x73711)+~P108(f330(f330(f239(x73711),x73713),f2(x73711)))+~P108(f330(f330(f239(x73711),x73712),f2(x73711)))+P108(f330(f330(f239(x73711),f2(x73711)),f330(f330(f83(x73711),x73712),x73713))) % 199.49/199.85 [7372]~P69(x73721)+~P108(f330(f330(f239(x73721),x73723),f2(x73721)))+~P108(f330(f330(f239(x73721),x73722),f2(x73721)))+P108(f330(f330(f239(x73721),f2(x73721)),f330(f330(f294(x73721),x73722),x73723))) % 199.49/199.85 [7373]~P68(x73731)+~P108(f330(f330(f239(x73731),x73733),f2(x73731)))+~P108(f330(f330(f239(x73731),x73732),f2(x73731)))+P108(f330(f330(f239(x73731),f2(x73731)),f330(f330(f294(x73731),x73732),x73733))) % 199.49/199.85 [7374]~P113(x73741)+~P108(f330(f330(f239(a928),f2(a928)),x73743))+~P108(f330(f330(f239(x73741),f80(x73741)),x73742))+P108(f330(f330(f239(x73741),f80(x73741)),f330(f330(f247(x73741),x73742),x73743))) % 199.49/199.85 [7473]~P133(x74731)+~P108(f330(f330(f238(x74731),f2(x74731)),x74733))+~P108(f330(f330(f238(x74731),f2(x74731)),x74732))+P108(f330(f330(f238(x74731),f2(x74731)),f330(f330(f83(x74731),x74732),x74733))) % 199.49/199.85 [7474]~P129(x74741)+~P108(f330(f330(f238(x74741),f2(x74741)),x74743))+~P108(f330(f330(f238(x74741),f2(x74741)),x74742))+P108(f330(f330(f238(x74741),f2(x74741)),f330(f330(f83(x74741),x74742),x74743))) % 199.49/199.85 [7475]~P140(x74751)+~P108(f330(f330(f238(x74751),f2(x74751)),x74753))+~P108(f330(f330(f238(x74751),f2(x74751)),x74752))+P108(f330(f330(f238(x74751),f2(x74751)),f330(f330(f83(x74751),x74752),x74753))) % 199.49/199.85 [7477]~P69(x74771)+~P108(f330(f330(f239(x74771),f2(x74771)),x74773))+~P108(f330(f330(f238(x74771),f2(x74771)),x74772))+P108(f330(f330(f238(x74771),f2(x74771)),f330(f330(f294(x74771),x74772),x74773))) % 199.49/199.85 [7478]~P68(x74781)+~P108(f330(f330(f238(x74781),f2(x74781)),x74783))+~P108(f330(f330(f238(x74781),f2(x74781)),x74782))+P108(f330(f330(f238(x74781),f2(x74781)),f330(f330(f294(x74781),x74782),x74783))) % 199.49/199.85 [7479]~P113(x74791)+~P108(f330(f330(f239(x74791),f80(x74791)),x74793))+~P108(f330(f330(f239(x74791),f80(x74791)),x74792))+P108(f330(f330(f239(x74791),f80(x74791)),f330(f330(f83(x74791),x74792),x74793))) % 199.49/199.85 [7480]~P138(x74801)+~P108(f330(f330(f239(x74801),f2(x74801)),x74803))+~P108(f330(f330(f239(x74801),f2(x74801)),x74802))+P108(f330(f330(f239(x74801),f2(x74801)),f330(f330(f83(x74801),x74802),x74803))) % 199.49/199.85 [7483]~P89(x74831)+~P108(f330(f330(f239(x74831),f2(x74831)),x74833))+~P108(f330(f330(f239(x74831),f2(x74831)),x74832))+P108(f330(f330(f239(x74831),f2(x74831)),f330(f330(f82(x74831),x74832),x74833))) % 199.49/199.85 [7484]~P69(x74841)+~P108(f330(f330(f239(x74841),f2(x74841)),x74843))+~P108(f330(f330(f239(x74841),f2(x74841)),x74842))+P108(f330(f330(f239(x74841),f2(x74841)),f330(f330(f294(x74841),x74842),x74843))) % 199.49/199.85 [7485]~P68(x74851)+~P108(f330(f330(f239(x74851),f2(x74851)),x74853))+~P108(f330(f330(f239(x74851),f2(x74851)),x74852))+P108(f330(f330(f239(x74851),f2(x74851)),f330(f330(f294(x74851),x74852),x74853))) % 199.49/199.85 [7564]~P110(x75641)+~P108(f330(f62(x75641),x75643))+E(f14(x75641,f330(f330(f312(x75641),x75642),x75643)),x75642)+~E(f330(f330(f23(f935(x75641,a923)),x75643),f330(f330(f312(x75641),x75642),f191(f935(x75641,a923)))),f191(f935(x75641,a923))) % 199.49/199.85 [7565]~P110(x75651)+~P108(f330(f62(x75651),x75653))+E(f15(x75651,f330(f330(f312(x75651),x75652),x75653)),x75652)+~E(f330(f330(f23(f935(x75651,a923)),x75653),f330(f330(f312(x75651),x75652),f191(f935(x75651,a923)))),f191(f935(x75651,a923))) % 199.49/199.85 [7566]~P99(x75661)+~P108(f330(f62(x75661),x75663))+E(f13(x75661,f330(f330(f312(x75661),x75662),x75663)),x75662)+~E(f330(f330(f23(f935(x75661,a923)),x75663),f330(f330(f312(x75661),x75662),f191(f935(x75661,a923)))),f191(f935(x75661,a923))) % 199.49/199.85 [7567]~P99(x75671)+~P108(f330(f62(x75671),x75673))+E(f10(x75671,f330(f330(f312(x75671),x75672),x75673)),x75672)+~E(f330(f330(f23(f935(x75671,a923)),x75673),f330(f330(f312(x75671),x75672),f191(f935(x75671,a923)))),f191(f935(x75671,a923))) % 199.49/199.85 [7569]~P129(x75691)+P108(f330(f330(f238(x75691),x75692),f2(x75691)))+P108(f330(f330(f238(x75691),f2(x75691)),x75693))+~P108(f330(f330(f238(x75691),f2(x75691)),f330(f330(f83(x75691),x75693),x75692))) % 199.49/199.85 [7570]~P129(x75701)+P108(f330(f330(f238(x75701),x75702),f2(x75701)))+P108(f330(f330(f238(x75701),f2(x75701)),x75703))+~P108(f330(f330(f238(x75701),f2(x75701)),f330(f330(f83(x75701),x75702),x75703))) % 199.49/199.85 [7571]~P68(x75711)+P108(f330(f330(f238(x75711),x75712),f2(x75711)))+P108(f330(f330(f238(x75711),f2(x75711)),x75713))+~P108(f330(f330(f238(x75711),f2(x75711)),f330(f330(f294(x75711),x75713),x75712))) % 199.49/199.85 [7572]~P68(x75721)+P108(f330(f330(f238(x75721),x75722),f2(x75721)))+P108(f330(f330(f238(x75721),f2(x75721)),x75723))+~P108(f330(f330(f238(x75721),f2(x75721)),f330(f330(f294(x75721),x75722),x75723))) % 199.49/199.85 [7573]~P129(x75731)+P108(f330(f330(f238(x75731),x75732),f2(x75731)))+P108(f330(f330(f238(x75731),f2(x75731)),x75732))+~P108(f330(f330(f238(x75731),f2(x75731)),f330(f330(f83(x75731),x75733),x75732))) % 199.49/199.85 [7574]~P129(x75741)+P108(f330(f330(f238(x75741),x75742),f2(x75741)))+P108(f330(f330(f238(x75741),f2(x75741)),x75742))+~P108(f330(f330(f238(x75741),f2(x75741)),f330(f330(f83(x75741),x75742),x75743))) % 199.49/199.85 [7575]~P68(x75751)+P108(f330(f330(f238(x75751),x75752),f2(x75751)))+P108(f330(f330(f238(x75751),f2(x75751)),x75752))+~P108(f330(f330(f238(x75751),f2(x75751)),f330(f330(f294(x75751),x75753),x75752))) % 199.49/199.85 [7576]~P68(x75761)+P108(f330(f330(f238(x75761),x75762),f2(x75761)))+P108(f330(f330(f238(x75761),f2(x75761)),x75762))+~P108(f330(f330(f238(x75761),f2(x75761)),f330(f330(f294(x75761),x75762),x75763))) % 199.49/199.85 [7577]~P68(x75771)+P108(f330(f330(f239(x75771),x75772),f2(x75771)))+P108(f330(f330(f239(x75771),f2(x75771)),x75773))+~P108(f330(f330(f239(x75771),f2(x75771)),f330(f330(f294(x75771),x75773),x75772))) % 199.49/199.85 [7578]~P68(x75781)+P108(f330(f330(f239(x75781),x75782),f2(x75781)))+P108(f330(f330(f239(x75781),f2(x75781)),x75783))+~P108(f330(f330(f239(x75781),f2(x75781)),f330(f330(f294(x75781),x75782),x75783))) % 199.49/199.85 [7579]~P68(x75791)+P108(f330(f330(f239(x75791),x75792),f2(x75791)))+P108(f330(f330(f239(x75791),f2(x75791)),x75792))+~P108(f330(f330(f239(x75791),f2(x75791)),f330(f330(f294(x75791),x75793),x75792))) % 199.49/199.85 [7580]~P68(x75801)+P108(f330(f330(f239(x75801),x75802),f2(x75801)))+P108(f330(f330(f239(x75801),f2(x75801)),x75802))+~P108(f330(f330(f239(x75801),f2(x75801)),f330(f330(f294(x75801),x75802),x75803))) % 199.49/199.85 [7663]~E(f330(f330(f104(f935(x76631,a923)),f330(f175(x76631),x76632)),f330(f175(x76631),x76633)),f191(f935(x76631,a923)))+~P108(f330(f140(x76631),x76633))+~P108(f330(f140(x76631),x76632))+P108(f330(f140(x76631),f330(f330(f137(x76631),x76632),x76633))) % 199.49/199.85 [7664]~P110(x76641)+~P108(f330(f62(x76641),x76643))+E(f11(x76641,f236(x76641),f330(f330(f312(x76641),x76642),x76643)),x76642)+~E(f330(f330(f23(f935(x76641,a923)),x76643),f330(f330(f312(x76641),x76642),f191(f935(x76641,a923)))),f191(f935(x76641,a923))) % 199.49/199.85 [7665]~P110(x76651)+~P108(f330(f62(x76651),x76653))+E(f12(x76651,f237(x76651),f330(f330(f312(x76651),x76652),x76653)),x76652)+~E(f330(f330(f23(f935(x76651,a923)),x76653),f330(f330(f312(x76651),x76652),f191(f935(x76651,a923)))),f191(f935(x76651,a923))) % 199.49/199.85 [7679]~P86(x76791)+~P108(f330(f330(f238(x76791),x76792),x76793))+~P108(f330(f330(f238(x76791),f330(f81(x76791),x76792)),x76793))+P108(f330(f330(f238(x76791),f330(f77(x76791),x76792)),x76793)) % 199.49/199.85 [7680]~P121(x76801)+~P108(f330(f330(f239(x76801),x76802),x76803))+~P108(f330(f330(f239(x76801),f330(f81(x76801),x76802)),x76803))+P108(f330(f330(f239(x76801),f330(f77(x76801),x76802)),x76803)) % 199.49/199.85 [7747]~P138(x77471)+P108(f330(f330(f239(x77471),f2(x77471)),x77472))+~P108(f330(f330(f239(x77471),f2(x77471)),x77473))+~P108(f330(f330(f239(x77471),f2(x77471)),f330(f330(f83(x77471),x77473),x77472))) % 199.49/199.85 [7748]~P138(x77481)+P108(f330(f330(f239(x77481),f2(x77481)),x77482))+~P108(f330(f330(f239(x77481),f2(x77481)),x77483))+~P108(f330(f330(f239(x77481),f2(x77481)),f330(f330(f83(x77481),x77482),x77483))) % 199.49/199.85 [8047]E(x80471,x80472)+~P108(f330(f62(x80473),x80471))+~P108(f330(f330(f238(a928),f330(f36(x80473),x80471)),f330(f36(x80473),x80472)))+~P108(f330(f330(f238(f935(x80473,a923)),x80472),x80471)) % 199.49/199.85 [8192]~P108(f330(f330(f239(a1),x81921),f2(a1)))+~P108(f330(f330(f239(a1),f2(a1)),x81922))+~P108(f330(f330(f238(a1),x81922),x81923))+P108(f330(f330(f238(a1),f330(f330(f37(a1),x81921),x81922)),f330(f330(f37(a1),x81921),x81923))) % 199.49/199.85 [8202]~P108(f330(f330(f238(a1),f2(a1)),x82021))+~P108(f330(f330(f239(a1),f2(a1)),x82023))+~P108(f330(f330(f238(a1),x82023),x82022))+P108(f330(f330(f238(a1),f330(f330(f37(a1),x82021),x82022)),f330(f330(f37(a1),x82021),x82023))) % 199.49/199.85 [8336]E(f330(x83361,f551(x83362,x83361,x83363)),x83362)+~P108(f330(f330(f238(a1),x83362),f330(x83361,x83363)))+P108(f330(f330(f239(a928),f552(x83362,x83361,x83363)),x83363))+~P108(f330(f330(f238(a1),f330(x83361,f2(a928))),x83362)) % 199.49/199.85 [8337]E(f330(x83371,f565(x83372,x83371,x83373)),x83372)+~P108(f330(f330(f238(a1),x83372),f330(x83371,x83373)))+P108(f330(f330(f239(a928),f566(x83372,x83371,x83373)),x83373))+~P108(f330(f330(f238(a1),f330(x83371,f2(a928))),x83372)) % 199.49/199.85 [8437]~P108(f330(f62(x84371),x84373))+~P108(f330(f330(f239(a928),f330(f36(x84371),x84372)),f330(f36(x84371),x84373)))+~P108(f330(f330(f238(f935(x84371,a923)),x84372),x84373))+P108(f330(f330(f239(f935(x84371,a923)),x84372),x84373)) % 199.49/199.85 [8464]E(f330(f330(f82(a1),f462(x84643,x84641,x84642)),f454(x84643,x84641,x84642)),x84641)+E(f330(f330(f23(a1),x84641),x84642),x84641)+~P108(f330(f330(f239(a1),f2(a1)),x84642))+~P108(f330(f330(f332(a1),f330(f330(f23(a1),x84641),f80(a1))),x84643)) % 199.49/199.85 [8465]E(f330(f330(f23(a1),f463(x84653,x84651,x84652)),f464(x84653,x84651,x84652)),x84651)+E(f330(f330(f82(a1),x84651),x84652),x84651)+~P108(f330(f330(f239(a1),f2(a1)),x84652))+~P108(f330(f330(f332(a1),f330(f330(f82(a1),x84651),f80(a1))),x84653)) % 199.49/199.85 [8516]~P108(f330(f330(f238(a928),x85163),x85161))+P108(f330(f330(f238(a928),x85161),x85162))+~P108(f330(f330(f238(a928),x85163),x85162))+~P108(f330(f330(f238(a928),f330(f330(f23(a928),x85161),x85163)),f330(f330(f23(a928),x85162),x85163))) % 199.49/199.85 [8517]~P108(f330(f330(f238(a928),x85173),x85171))+P108(f330(f330(f239(a928),x85171),x85172))+~P108(f330(f330(f238(a928),x85173),x85172))+~P108(f330(f330(f239(a928),f330(f330(f23(a928),x85171),x85173)),f330(f330(f23(a928),x85172),x85173))) % 199.49/199.85 [8536]~P110(x85362)+E(x85361,f116(x85362))+~P13(x85362,f330(f171(x85362),x85361))+E(f330(f145(x85362,x85362,f330(f7(x85362,x85362,x85362),f237(x85362)),x85363),f330(f171(x85362),x85361)),f330(f330(f237(x85362),f330(f330(f167(x85362),x85361),f2(a928))),x85363)) % 199.49/199.85 [8605]E(f330(f330(f23(a1),x86051),x86052),x86051)+~P108(f330(f330(f239(a1),f2(a1)),x86052))+P108(f330(f330(f332(a1),f462(x86053,x86051,x86052)),x86053))+~P108(f330(f330(f332(a1),f330(f330(f23(a1),x86051),f80(a1))),x86053)) % 199.49/199.85 [8606]E(f330(f330(f82(a1),x86061),x86062),x86061)+~P108(f330(f330(f239(a1),f2(a1)),x86062))+P108(f330(f330(f332(a1),f463(x86063,x86061,x86062)),x86063))+~P108(f330(f330(f332(a1),f330(f330(f82(a1),x86061),f80(a1))),x86063)) % 199.49/199.85 [8678]~P108(f330(f330(f238(a1),x86781),f330(x86782,x86783)))+P108(f330(f330(f239(a928),f552(x86781,x86782,x86783)),x86783))+P108(f330(f330(f238(a928),f551(x86781,x86782,x86783)),x86783))+~P108(f330(f330(f238(a1),f330(x86782,f2(a928))),x86781)) % 199.49/199.85 [8679]~P108(f330(f330(f238(a1),x86791),f330(x86792,x86793)))+P108(f330(f330(f239(a928),f566(x86791,x86792,x86793)),x86793))+P108(f330(f330(f238(a928),f565(x86791,x86792,x86793)),x86793))+~P108(f330(f330(f238(a1),f330(x86792,f2(a928))),x86791)) % 199.49/199.85 [8751]E(f330(f330(f23(a1),x87511),x87512),x87511)+~P108(f330(f330(f239(a1),f2(a1)),x87512))+P108(f330(f330(f332(a1),f454(x87513,x87511,x87512)),f306(a1,f80(a1),x87512)))+~P108(f330(f330(f332(a1),f330(f330(f23(a1),x87511),f80(a1))),x87513)) % 199.49/199.85 [8752]E(f330(f330(f82(a1),x87521),x87522),x87521)+~P108(f330(f330(f239(a1),f2(a1)),x87522))+P108(f330(f330(f332(a1),f464(x87523,x87521,x87522)),f306(a1,f80(a1),x87522)))+~P108(f330(f330(f332(a1),f330(f330(f82(a1),x87521),f80(a1))),x87523)) % 199.49/199.85 [8884]~P113(x88841)+~P108(f330(f330(f239(x88841),x88842),f80(x88841)))+~P108(f330(f330(f239(x88841),f2(x88841)),x88842))+P108(f330(f330(f239(x88841),f330(f330(f83(x88841),x88842),f330(f330(f247(x88841),x88842),x88843))),f330(f330(f247(x88841),x88842),x88843))) % 199.49/199.85 [8977]~P108(f330(x89771,x89772))+P108(f330(x89771,f2(a928)))+~P108(f330(f330(f239(a928),x89772),x89773))+~P108(f330(x89771,f46(a928,f330(a115,f598(x89772,x89771,x89773)),x89773))) % 199.49/199.85 [9129]E(f381(x91291,x91292,x91293),f2(a928))+P108(f330(f330(x91291,x91293),x91292))+P108(f330(f330(x91291,f381(x91291,x91292,x91293)),f46(a928,f380(x91291,x91292,x91293),f381(x91291,x91292,x91293))))+~P108(f330(f318(f934(a928,a928),a223),f330(f330(f255(a928,a928),x91293),x91292))) % 199.49/199.85 [9168]~P25(x91681,x91681,x91682,x91683)+E(f330(f313(x91681,x91681,x91682),x91683),x91683)+~P108(f330(f62(x91681),x91683))+~P108(f330(f330(f238(f935(x91681,a923)),f330(f313(x91681,x91681,x91682),x91683)),x91683)) % 199.49/199.85 [9386]P108(f330(f330(x93861,x93862),x93863))+P108(f330(f330(f239(a1),f783(x93861,x93863,x93862)),f786(x93861,x93863,x93862)))+P108(f330(f330(x93861,f783(x93861,x93863,x93862)),f330(f330(f82(a1),f786(x93861,x93863,x93862)),f80(a1))))+~P108(f330(f318(f934(a1,a1),a136),f330(f330(f255(a1,a1),x93862),x93863))) % 199.49/199.85 [9403]P108(f330(f330(x94031,x94032),x94033))+~P108(f330(f330(f239(a1),f379(x94031,x94033,x94032)),f2(a1)))+P108(f330(f330(x94031,f330(f81(a1),f378(x94031,x94033,x94032))),f330(f81(a1),f379(x94031,x94033,x94032))))+~P108(f330(f318(f934(a1,a1),a225),f330(f330(f255(a1,a1),x94032),x94033))) % 199.49/199.85 [9589]P108(f330(f330(x95891,x95892),x95893))+P108(f330(f330(x95891,f330(f330(f82(a1),f686(x95891,x95893,x95892)),f80(a1))),f688(x95891,x95893,x95892)))+~P108(f330(f330(f238(a1),f686(x95891,x95893,x95892)),f688(x95891,x95893,x95892)))+~P108(f330(f318(f934(a1,a1),a185),f330(f330(f255(a1,a1),x95892),x95893))) % 199.49/199.85 [10024]~P65(x100242)+~P65(x100241)+~P108(f330(f57(f934(x100241,x100242)),x100243))+P108(f330(f57(x100241),f330(f330(f8(f935(x100242,a923),a923,x100241),f57(x100242)),f330(f330(f8(f935(x100242,f934(x100241,x100242)),f935(x100242,a923),x100241),f330(f8(f934(x100241,x100242),a923,x100242),x100243)),f255(x100241,x100242))))) % 199.49/199.85 [10025]~P65(x100252)+~P65(x100251)+~P108(f330(f58(f934(x100251,x100252)),x100253))+P108(f330(f58(x100251),f330(f330(f8(f935(x100252,a923),a923,x100251),f58(x100252)),f330(f330(f8(f935(x100252,f934(x100251,x100252)),f935(x100252,a923),x100251),f330(f8(f934(x100251,x100252),a923,x100252),x100253)),f255(x100251,x100252))))) % 199.49/199.85 [10120]~P65(x101202)+~P65(x101201)+P108(f330(f57(f934(x101201,x101202)),x101203))+~P108(f330(f57(x101201),f330(f330(f8(f935(x101202,a923),a923,x101201),f57(x101202)),f330(f330(f8(f935(x101202,f934(x101201,x101202)),f935(x101202,a923),x101201),f330(f8(f934(x101201,x101202),a923,x101202),x101203)),f255(x101201,x101202))))) % 199.49/199.85 [10121]~P65(x101212)+~P65(x101211)+P108(f330(f58(f934(x101211,x101212)),x101213))+~P108(f330(f58(x101211),f330(f330(f8(f935(x101212,a923),a923,x101211),f58(x101212)),f330(f330(f8(f935(x101212,f934(x101211,x101212)),f935(x101212,a923),x101211),f330(f8(f934(x101211,x101212),a923,x101212),x101213)),f255(x101211,x101212))))) % 199.49/199.85 [10283]E(f330(x102831,f551(x102832,x102831,x102833)),x102832)+~P108(f330(f330(f238(a1),x102832),f330(x102831,x102833)))+~P108(f330(f330(f238(a1),f330(f77(a1),f330(f330(f23(a1),f330(x102831,f330(f330(f82(a928),f552(x102832,x102831,x102833)),f80(a928)))),f330(x102831,f552(x102832,x102831,x102833))))),f80(a1)))+~P108(f330(f330(f238(a1),f330(x102831,f2(a928))),x102832)) % 199.49/199.85 [10284]E(f330(x102841,f565(x102842,x102841,x102843)),x102842)+~P108(f330(f330(f238(a1),x102842),f330(x102841,x102843)))+~P108(f330(f330(f238(a1),f330(f77(a1),f330(f330(f23(a1),f330(x102841,f330(f330(f82(a928),f566(x102842,x102841,x102843)),f80(a928)))),f330(x102841,f566(x102842,x102841,x102843))))),f80(a1)))+~P108(f330(f330(f238(a1),f330(x102841,f2(a928))),x102842)) % 199.49/199.85 [10287]~P108(f330(f330(f238(a1),x102871),f330(x102872,x102873)))+~P108(f330(f330(f238(a1),f330(f77(a1),f330(f330(f23(a1),f330(x102872,f330(f330(f82(a928),f552(x102871,x102872,x102873)),f80(a928)))),f330(x102872,f552(x102871,x102872,x102873))))),f80(a1)))+P108(f330(f330(f238(a928),f551(x102871,x102872,x102873)),x102873))+~P108(f330(f330(f238(a1),f330(x102872,f2(a928))),x102871)) % 199.49/199.85 [10288]~P108(f330(f330(f238(a1),x102881),f330(x102882,x102883)))+~P108(f330(f330(f238(a1),f330(f77(a1),f330(f330(f23(a1),f330(x102882,f330(f330(f82(a928),f566(x102881,x102882,x102883)),f80(a928)))),f330(x102882,f566(x102881,x102882,x102883))))),f80(a1)))+P108(f330(f330(f238(a928),f565(x102881,x102882,x102883)),x102883))+~P108(f330(f330(f238(a1),f330(x102882,f2(a928))),x102881)) % 199.49/199.85 [10347]E(x103471,x103472)+~E(f330(f145(f929(x103473),f929(x103473),f137(x103473),f116(x103473)),x103471),f330(f145(f929(x103473),f929(x103473),f137(x103473),f116(x103473)),x103472))+~E(f330(f192(f929(f929(x103473))),x103471),f330(f192(f929(f929(x103473))),x103472))+~P108(f330(f330(f260(f929(x103473),f929(x103473),a923),f330(f330(f7(f929(x103473),f935(f929(x103473),a928),f935(f929(x103473),a923)),f330(f330(f8(f935(a928,a923),f935(f935(f929(x103473),a928),f935(f929(x103473),a923)),f929(x103473)),f8(a928,a923,f929(x103473))),f330(f330(f8(a928,f935(a928,a923),f929(x103473)),a327),f192(f929(x103473))))),f192(f929(x103473)))),f714(x103472,x103471,x103473))) % 199.49/199.85 [10348]E(x103481,x103482)+~E(f330(f145(f929(x103483),f929(x103483),f137(x103483),f116(x103483)),x103481),f330(f145(f929(x103483),f929(x103483),f137(x103483),f116(x103483)),x103482))+~E(f330(f192(f929(f929(x103483))),x103481),f330(f192(f929(f929(x103483))),x103482))+~P108(f330(f330(f260(f929(x103483),f929(x103483),a923),f330(f330(f7(f929(x103483),f935(f929(x103483),a928),f935(f929(x103483),a923)),f330(f330(f8(f935(a928,a923),f935(f935(f929(x103483),a928),f935(f929(x103483),a923)),f929(x103483)),f8(a928,a923,f929(x103483))),f330(f330(f8(a928,f935(a928,a923),f929(x103483)),a327),f192(f929(x103483))))),f192(f929(x103483)))),f715(x103481,x103482,x103483))) % 199.49/199.85 [7077]~E(f80(a928),f2(a928))+~P108(f330(f62(x70771),x70773))+~P108(f330(f62(x70771),x70772))+E(f330(f330(f82(a928),f330(f36(x70771),x70772)),f330(f36(x70771),x70773)),f330(f36(x70771),f330(f330(f113(f935(x70771,a923)),x70772),x70773))) % 199.49/199.85 [7492]~P110(x74921)+~P108(f330(f62(x74921),x74922))+~P108(f330(f330(f332(x74921),x74923),x74922))+P108(f330(f330(f238(x74921),f330(f64(x74921,f236(x74921)),x74922)),x74923)) % 199.49/199.85 [7493]~P104(x74931)+~P108(f330(f62(x74931),x74932))+~P108(f330(f330(f332(x74931),x74933),x74932))+P108(f330(f330(f238(x74931),f330(f64(x74931,f104(x74931)),x74932)),x74933)) % 199.49/199.85 [7741]~P108(f330(f62(x77411),x77413))+~P108(f330(f62(x77411),x77412))+~E(f330(f330(f104(f935(x77411,a923)),x77412),x77413),f191(f935(x77411,a923)))+E(f330(f330(f82(a928),f330(f36(x77411),x77412)),f330(f36(x77411),x77413)),f330(f36(x77411),f330(f330(f113(f935(x77411,a923)),x77412),x77413))) % 199.49/199.85 [8522]~P39(x85221,x85223)+~P39(x85221,x85222)+~E(f330(f330(f104(f935(x85221,a923)),f330(f267(x85221,x85221),x85222)),f330(f287(x85221,x85221),x85223)),f191(f935(x85221,a923)))+P39(x85221,f330(f330(f113(f935(f934(x85221,x85221),a923)),x85222),x85223)) % 199.49/199.85 [8617]E(x86171,f330(f330(f37(a928),x86172),x86173))+~P108(f330(f330(f239(a928),f2(a928)),x86173))+~P108(f330(f330(f239(a928),x86172),f330(f330(f83(a928),x86173),f330(a115,x86171))))+~P108(f330(f330(f238(a928),f330(f330(f83(a928),x86173),x86171)),x86172)) % 199.49/199.85 [8749]~P108(f330(f62(x87491),x87492))+~P108(f330(f62(x87491),x87493))+E(f330(f330(f82(a928),f330(f36(x87491),x87492)),f330(f36(x87491),x87493)),f330(f36(x87491),f330(f330(f113(f935(x87491,a923)),x87492),x87493)))+P108(f330(f330(f332(x87491),f416(x87493,x87492,x87491)),f330(f330(f104(f935(x87491,a923)),x87492),x87493))) % 199.49/199.85 [9141]~P129(x91412)+~E(x91411,f2(x91412))+~E(x91413,f2(x91412))+~P108(f330(f330(f239(x91412),f2(x91412)),f330(f330(f82(x91412),f330(f330(f83(x91412),x91413),x91413)),f330(f330(f83(x91412),x91411),x91411)))) % 199.49/199.85 [9670]~P39(x96701,x96703)+~P39(x96701,x96702)+P39(x96701,f330(f330(f113(f935(f934(x96701,x96701),a923)),x96702),x96703))+~P108(f330(f330(f238(f935(f934(x96701,x96701),a923)),f330(f330(f292(x96701,x96701,x96701),x96702),x96703)),x96702)) % 199.49/199.85 [9799]~P108(f330(x97991,x97993))+~P108(f330(f62(x97992),x97993))+P108(f330(x97991,f191(f935(x97992,a923))))+~P108(f330(x97991,f330(f330(f23(f935(x97992,a923)),f599(x97991,x97993,x97992)),f330(f330(f312(x97992),f589(x97991,x97993,x97992)),f191(f935(x97992,a923)))))) % 199.49/199.85 [8924]~P108(f330(f330(f239(a1),f2(a1)),x89243))+P108(f330(f330(f238(a1),f2(a1)),x89241))+~P108(f330(f330(f239(a1),x89242),x89243))+~P108(f330(f330(f238(a1),f2(a1)),f330(f330(f82(a1),f330(f330(f83(a1),x89243),x89241)),x89242))) % 199.49/199.85 [8948]~P110(x89481)+~P108(f330(f62(x89481),x89482))+E(f330(f330(f23(f935(x89481,a923)),x89482),f330(f330(f312(x89481),x89483),f191(f935(x89481,a923)))),f191(f935(x89481,a923)))+E(f330(f330(f236(x89481),x89483),f14(x89481,f330(f330(f23(f935(x89481,a923)),x89482),f330(f330(f312(x89481),x89483),f191(f935(x89481,a923)))))),f14(x89481,f330(f330(f312(x89481),x89483),x89482))) % 199.49/199.85 [8949]~P110(x89491)+~P108(f330(f62(x89491),x89492))+E(f330(f330(f23(f935(x89491,a923)),x89492),f330(f330(f312(x89491),x89493),f191(f935(x89491,a923)))),f191(f935(x89491,a923)))+E(f330(f330(f237(x89491),x89493),f15(x89491,f330(f330(f23(f935(x89491,a923)),x89492),f330(f330(f312(x89491),x89493),f191(f935(x89491,a923)))))),f15(x89491,f330(f330(f312(x89491),x89493),x89492))) % 199.49/199.85 [8950]~P99(x89501)+~P108(f330(f62(x89501),x89502))+E(f330(f330(f23(f935(x89501,a923)),x89502),f330(f330(f312(x89501),x89503),f191(f935(x89501,a923)))),f191(f935(x89501,a923)))+E(f330(f330(f113(x89501),x89503),f13(x89501,f330(f330(f23(f935(x89501,a923)),x89502),f330(f330(f312(x89501),x89503),f191(f935(x89501,a923)))))),f13(x89501,f330(f330(f312(x89501),x89503),x89502))) % 199.49/199.85 [8951]~P99(x89511)+~P108(f330(f62(x89511),x89512))+E(f330(f330(f23(f935(x89511,a923)),x89512),f330(f330(f312(x89511),x89513),f191(f935(x89511,a923)))),f191(f935(x89511,a923)))+E(f330(f330(f104(x89511),x89513),f10(x89511,f330(f330(f23(f935(x89511,a923)),x89512),f330(f330(f312(x89511),x89513),f191(f935(x89511,a923)))))),f10(x89511,f330(f330(f312(x89511),x89513),x89512))) % 199.49/199.85 [9023]~P110(x90231)+~P108(f330(f62(x90231),x90232))+E(f330(f330(f23(f935(x90231,a923)),x90232),f330(f330(f312(x90231),x90233),f191(f935(x90231,a923)))),f191(f935(x90231,a923)))+E(f330(f330(f236(x90231),x90233),f11(x90231,f236(x90231),f330(f330(f23(f935(x90231,a923)),x90232),f330(f330(f312(x90231),x90233),f191(f935(x90231,a923)))))),f11(x90231,f236(x90231),f330(f330(f312(x90231),x90233),x90232))) % 199.49/199.85 [9024]~P110(x90241)+~P108(f330(f62(x90241),x90242))+E(f330(f330(f23(f935(x90241,a923)),x90242),f330(f330(f312(x90241),x90243),f191(f935(x90241,a923)))),f191(f935(x90241,a923)))+E(f330(f330(f237(x90241),x90243),f12(x90241,f237(x90241),f330(f330(f23(f935(x90241,a923)),x90242),f330(f330(f312(x90241),x90243),f191(f935(x90241,a923)))))),f12(x90241,f237(x90241),f330(f330(f312(x90241),x90243),x90242))) % 199.49/199.85 [9608]E(x96081,x96082)+~E(f330(f145(f929(x96083),f929(x96083),f137(x96083),f116(x96083)),x96081),f330(f145(f929(x96083),f929(x96083),f137(x96083),f116(x96083)),x96082))+~E(f330(f192(f929(f929(x96083))),x96081),f330(f192(f929(f929(x96083))),x96082))+P108(f330(f330(f332(f934(f929(x96083),f929(x96083))),f714(x96082,x96081,x96083)),f330(f175(f934(f929(x96083),f929(x96083))),f330(f330(f184(f929(x96083),f929(x96083)),x96081),x96082)))) % 199.49/199.85 [9609]E(x96091,x96092)+~E(f330(f145(f929(x96093),f929(x96093),f137(x96093),f116(x96093)),x96091),f330(f145(f929(x96093),f929(x96093),f137(x96093),f116(x96093)),x96092))+~E(f330(f192(f929(f929(x96093))),x96091),f330(f192(f929(f929(x96093))),x96092))+P108(f330(f330(f332(f934(f929(x96093),f929(x96093))),f715(x96091,x96092,x96093)),f330(f175(f934(f929(x96093),f929(x96093))),f330(f330(f184(f929(x96093),f929(x96093)),x96092),x96091)))) % 199.49/199.85 [10457]~P79(x104572)+E(x104571,f191(f935(x104572,a923)))+~P108(f330(f62(x104572),x104571))+E(f14(x104572,f330(f265(x104572),f330(f330(f8(f935(x104572,a923),a923,x104572),f89(x104572)),f330(f330(f7(x104572,f935(x104572,a923),f935(x104572,a923)),f330(f330(f8(f935(x104572,f935(a923,a923)),f935(f935(x104572,a923),f935(x104572,a923)),x104572),f18(x104572,a923,a923)),f330(f330(f8(f935(x104572,a923),f935(x104572,f935(a923,a923)),x104572),f330(f8(a923,f935(a923,a923),x104572),a328)),f330(f330(f7(x104572,f935(x104572,x104572),f935(x104572,a923)),f330(f330(f8(f935(x104572,a923),f935(f935(x104572,x104572),f935(x104572,a923)),x104572),f8(x104572,a923,x104572)),a327)),f330(f82(x104572),x104573))))),f330(f330(f7(x104572,f935(x104572,a923),a923),f332(x104572)),x104571))))),f330(f330(f82(x104572),x104573),f14(x104572,x104571))) % 199.49/199.85 [10458]~P79(x104582)+E(x104581,f191(f935(x104582,a923)))+~P108(f330(f62(x104582),x104581))+E(f15(x104582,f330(f265(x104582),f330(f330(f8(f935(x104582,a923),a923,x104582),f89(x104582)),f330(f330(f7(x104582,f935(x104582,a923),f935(x104582,a923)),f330(f330(f8(f935(x104582,f935(a923,a923)),f935(f935(x104582,a923),f935(x104582,a923)),x104582),f18(x104582,a923,a923)),f330(f330(f8(f935(x104582,a923),f935(x104582,f935(a923,a923)),x104582),f330(f8(a923,f935(a923,a923),x104582),a328)),f330(f330(f7(x104582,f935(x104582,x104582),f935(x104582,a923)),f330(f330(f8(f935(x104582,a923),f935(f935(x104582,x104582),f935(x104582,a923)),x104582),f8(x104582,a923,x104582)),a327)),f330(f82(x104582),x104583))))),f330(f330(f7(x104582,f935(x104582,a923),a923),f332(x104582)),x104581))))),f330(f330(f82(x104582),x104583),f15(x104582,x104581))) % 199.49/199.85 [10459]~P102(x104592)+E(x104591,f191(f935(x104592,a923)))+~P108(f330(f62(x104592),x104591))+E(f13(x104592,f330(f265(x104592),f330(f330(f8(f935(x104592,a923),a923,x104592),f89(x104592)),f330(f330(f7(x104592,f935(x104592,a923),f935(x104592,a923)),f330(f330(f8(f935(x104592,f935(a923,a923)),f935(f935(x104592,a923),f935(x104592,a923)),x104592),f18(x104592,a923,a923)),f330(f330(f8(f935(x104592,a923),f935(x104592,f935(a923,a923)),x104592),f330(f8(a923,f935(a923,a923),x104592),a328)),f330(f330(f7(x104592,f935(x104592,x104592),f935(x104592,a923)),f330(f330(f8(f935(x104592,a923),f935(f935(x104592,x104592),f935(x104592,a923)),x104592),f8(x104592,a923,x104592)),a327)),f330(f104(x104592),x104593))))),f330(f330(f7(x104592,f935(x104592,a923),a923),f332(x104592)),x104591))))),f330(f330(f104(x104592),x104593),f13(x104592,x104591))) % 199.49/199.85 [10460]~P102(x104602)+E(x104601,f191(f935(x104602,a923)))+~P108(f330(f62(x104602),x104601))+E(f10(x104602,f330(f265(x104602),f330(f330(f8(f935(x104602,a923),a923,x104602),f89(x104602)),f330(f330(f7(x104602,f935(x104602,a923),f935(x104602,a923)),f330(f330(f8(f935(x104602,f935(a923,a923)),f935(f935(x104602,a923),f935(x104602,a923)),x104602),f18(x104602,a923,a923)),f330(f330(f8(f935(x104602,a923),f935(x104602,f935(a923,a923)),x104602),f330(f8(a923,f935(a923,a923),x104602),a328)),f330(f330(f7(x104602,f935(x104602,x104602),f935(x104602,a923)),f330(f330(f8(f935(x104602,a923),f935(f935(x104602,x104602),f935(x104602,a923)),x104602),f8(x104602,a923,x104602)),a327)),f330(f113(x104602),x104603))))),f330(f330(f7(x104602,f935(x104602,a923),a923),f332(x104602)),x104601))))),f330(f330(f113(x104602),x104603),f10(x104602,x104601))) % 199.49/199.85 [10461]~P110(x104612)+E(x104611,f191(f935(x104612,a923)))+~P108(f330(f62(x104612),x104611))+E(f12(x104612,f237(x104612),f330(f265(x104612),f330(f330(f8(f935(x104612,a923),a923,x104612),f89(x104612)),f330(f330(f7(x104612,f935(x104612,a923),f935(x104612,a923)),f330(f330(f8(f935(x104612,f935(a923,a923)),f935(f935(x104612,a923),f935(x104612,a923)),x104612),f18(x104612,a923,a923)),f330(f330(f8(f935(x104612,a923),f935(x104612,f935(a923,a923)),x104612),f330(f8(a923,f935(a923,a923),x104612),a328)),f330(f330(f7(x104612,f935(x104612,x104612),f935(x104612,a923)),f330(f330(f8(f935(x104612,a923),f935(f935(x104612,x104612),f935(x104612,a923)),x104612),f8(x104612,a923,x104612)),a327)),f330(f236(x104612),x104613))))),f330(f330(f7(x104612,f935(x104612,a923),a923),f332(x104612)),x104611))))),f330(f330(f236(x104612),x104613),f12(x104612,f237(x104612),x104611))) % 199.49/199.85 [10462]~P110(x104622)+E(x104621,f191(f935(x104622,a923)))+~P108(f330(f62(x104622),x104621))+E(f11(x104622,f236(x104622),f330(f265(x104622),f330(f330(f8(f935(x104622,a923),a923,x104622),f89(x104622)),f330(f330(f7(x104622,f935(x104622,a923),f935(x104622,a923)),f330(f330(f8(f935(x104622,f935(a923,a923)),f935(f935(x104622,a923),f935(x104622,a923)),x104622),f18(x104622,a923,a923)),f330(f330(f8(f935(x104622,a923),f935(x104622,f935(a923,a923)),x104622),f330(f8(a923,f935(a923,a923),x104622),a328)),f330(f330(f7(x104622,f935(x104622,x104622),f935(x104622,a923)),f330(f330(f8(f935(x104622,a923),f935(f935(x104622,x104622),f935(x104622,a923)),x104622),f8(x104622,a923,x104622)),a327)),f330(f237(x104622),x104623))))),f330(f330(f7(x104622,f935(x104622,a923),a923),f332(x104622)),x104621))))),f330(f330(f237(x104622),x104623),f11(x104622,f236(x104622),x104621))) % 199.49/199.85 [10185]~P121(x101851)+~E(x101853,f2(x101851))+~E(x101852,f2(x101851))+E(f330(f330(f82(x101851),f330(f330(f247(x101851),x101852),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f247(x101851),x101853),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f2(x101851)) % 199.49/199.85 [10328]~P113(x103281)+~P108(f330(f330(f238(x103281),f2(x103281)),x103283))+P108(f330(f330(f238(x103281),x103282),x103283))+~P108(f330(f330(f238(x103281),f330(f330(f247(x103281),x103282),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f247(x103281),x103283),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 199.49/199.85 [10386]~P121(x103862)+~E(x103861,f2(x103862))+~E(x103863,f2(x103862))+~P108(f330(f330(f239(x103862),f2(x103862)),f330(f330(f82(x103862),f330(f330(f247(x103862),x103863),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f247(x103862),x103861),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))))) % 199.49/199.85 [6960]~P7(x69603,x69602)+~P108(f330(x69601,x69604))+~P108(f330(f330(f332(x69603),x69604),f273(x69603,x69602)))+P108(f330(x69601,f833(x69601,x69602,x69603))) % 199.49/199.85 [8859]P26(x88591,x88592,f837(x88593,x88592,x88594,x88591),x88594,x88593)+~E(f330(f36(x88591),x88594),f330(f36(x88592),x88593))+~P108(f330(f62(x88592),x88593))+~P108(f330(f62(x88591),x88594)) % 199.49/199.85 [9571]E(x95711,x95712)+~E(f661(x95711,x95712,x95714,x95713),f662(x95711,x95712,x95714,x95713))+P108(f330(f330(f332(f934(f929(x95713),f929(x95713))),f330(f330(f255(f929(x95713),f929(x95713)),x95712),x95711)),f150(x95713,x95714)))+P108(f330(f330(f332(f934(f929(x95713),f929(x95713))),f330(f330(f255(f929(x95713),f929(x95713)),x95711),x95712)),f150(x95713,x95714))) % 199.49/199.85 [5109]~P66(x51092)+~E(x51094,f2(x51092))+~E(x51091,f2(x51092))+E(x51091,f330(f330(f294(x51092),x51093),x51094)) % 199.49/199.85 [5110]~P66(x51101)+~E(x51103,f2(x51101))+~E(x51104,f2(x51101))+E(f330(f330(f294(x51101),x51102),x51103),x51104) % 199.49/199.85 [5226]~P66(x52262)+E(x52261,f2(x52262))+~E(x52263,f2(x52262))+~E(x52261,f330(f330(f294(x52262),x52264),x52263)) % 199.49/199.85 [5227]~P66(x52272)+E(x52271,f2(x52272))+~E(x52273,f2(x52272))+~E(f330(f330(f294(x52272),x52274),x52273),x52271) % 199.49/199.85 [5407]~P125(x54072)+E(x54071,f2(x54072))+~E(f330(f330(f294(x54072),x54073),x54071),x54074)+E(x54073,f330(f330(f83(x54072),x54074),x54071)) % 199.49/199.85 [5409]~P125(x54092)+E(x54091,f2(x54092))+~E(f330(f330(f83(x54092),x54093),x54091),x54094)+E(x54093,f330(f330(f294(x54092),x54094),x54091)) % 199.49/199.85 [5410]~P66(x54102)+E(x54101,f2(x54102))+~E(f330(f330(f294(x54102),x54103),x54101),x54104)+E(x54103,f330(f330(f83(x54102),x54104),x54101)) % 199.49/199.85 [5411]~P66(x54112)+E(x54111,f2(x54112))+~E(f330(f330(f83(x54112),x54113),x54111),x54114)+E(x54113,f330(f330(f294(x54112),x54114),x54111)) % 199.49/199.85 [5412]~P125(x54122)+E(x54121,f2(x54122))+~E(x54123,f330(f330(f294(x54122),x54124),x54121))+E(f330(f330(f83(x54122),x54123),x54121),x54124) % 199.49/199.85 [5414]~P125(x54142)+E(x54141,f2(x54142))+~E(x54143,f330(f330(f83(x54142),x54144),x54141))+E(f330(f330(f294(x54142),x54143),x54141),x54144) % 199.49/199.85 [5415]~P66(x54152)+E(x54151,f2(x54152))+~E(x54153,f330(f330(f294(x54152),x54154),x54151))+E(f330(f330(f83(x54152),x54153),x54151),x54154) % 199.49/199.85 [5416]~P66(x54162)+E(x54161,f2(x54162))+~E(x54163,f330(f330(f83(x54162),x54164),x54161))+E(f330(f330(f294(x54162),x54163),x54161),x54164) % 199.49/199.85 [5440]~P66(x54402)+~E(x54401,f2(x54402))+~E(f330(f330(f83(x54402),x54401),x54404),x54403)+E(x54401,f330(f330(f294(x54402),x54403),x54404)) % 199.49/199.85 [5441]~P66(x54411)+~E(x54414,f2(x54411))+~E(x54412,f330(f330(f83(x54411),x54414),x54413))+E(f330(f330(f294(x54411),x54412),x54413),x54414) % 199.49/199.85 [5515]~E(x55153,x55154)+~E(x55152,x55153)+~P112(x55151)+E(f306(x55151,x55152,x55153),f330(f330(f312(x55151),x55154),f191(f935(x55151,a923)))) % 199.49/199.85 [5721]~E(f117(x57212,x57211),x57213)+~E(f147(x57212,x57211),x57214)+E(x57211,f116(x57212))+E(f330(f330(f137(x57212),x57213),f330(f330(f154(x57212),x57214),f116(x57212))),x57211) % 199.49/199.85 [6353]~P113(x63533)+E(x63531,x63532)+~E(f330(f330(f247(x63533),x63534),x63531),f330(f330(f247(x63533),x63534),x63532))+~P108(f330(f330(f239(x63533),f80(x63533)),x63534)) % 199.49/199.85 [6354]E(x63541,x63542)+~E(f330(f330(f312(x63543),x63544),x63541),f330(f330(f312(x63543),x63544),x63542))+P108(f330(f330(f332(x63543),x63544),x63542))+P108(f330(f330(f332(x63543),x63544),x63541)) % 199.49/199.85 [6396]E(f330(x63961,x63962),f80(a928))+~E(f330(f330(f9(x63963,a928),x63961),x63964),f80(a928))+~P108(f330(f62(x63963),x63964))+~P108(f330(f330(f332(x63963),x63962),x63964)) % 199.49/199.85 [6397]E(f330(x63971,x63972),f2(a928))+~E(f330(f330(f6(x63973,a928),x63971),x63974),f2(a928))+~P108(f330(f62(x63973),x63974))+~P108(f330(f330(f332(x63973),x63972),x63974)) % 199.49/199.85 [6615]~P112(x66151)+~P108(f330(f330(f238(x66151),x66154),x66153))+P108(f330(f330(f238(x66151),x66152),x66153))+~P108(f330(f330(f238(x66151),x66152),x66154)) % 199.49/199.85 [6616]~P109(x66161)+~P108(f330(f330(f238(x66161),x66162),x66164))+P108(f330(f330(f238(x66161),x66162),x66163))+~P108(f330(f330(f238(x66161),x66164),x66163)) % 199.49/199.85 [6617]~P112(x66171)+~P108(f330(f330(f239(x66171),x66174),x66173))+P108(f330(f330(f239(x66171),x66172),x66173))+~P108(f330(f330(f238(x66171),x66172),x66174)) % 199.49/199.85 [6618]~P112(x66181)+~P108(f330(f330(f239(x66181),x66182),x66184))+P108(f330(f330(f239(x66181),x66182),x66183))+~P108(f330(f330(f238(x66181),x66184),x66183)) % 199.49/199.85 [6619]~P112(x66191)+~P108(f330(f330(f239(x66191),x66194),x66193))+P108(f330(f330(f239(x66191),x66192),x66193))+~P108(f330(f330(f239(x66191),x66192),x66194)) % 199.49/199.85 [6620]~P109(x66201)+~P108(f330(f330(f239(x66201),x66202),x66204))+P108(f330(f330(f239(x66201),x66202),x66203))+~P108(f330(f330(f238(x66201),x66204),x66203)) % 199.49/199.85 [6621]~P109(x66211)+~P108(f330(f330(f239(x66211),x66214),x66213))+P108(f330(f330(f239(x66211),x66212),x66213))+~P108(f330(f330(f238(x66211),x66212),x66214)) % 199.49/199.85 [6622]~P109(x66221)+~P108(f330(f330(f239(x66221),x66222),x66224))+P108(f330(f330(f239(x66221),x66222),x66223))+~P108(f330(f330(f239(x66221),x66224),x66223)) % 199.49/199.85 [6705]~P37(x67054,x67053,x67052)+E(x67051,f768(x67052,x67053,x67054))+~P108(f330(x67053,x67051))+~P108(f330(f330(f332(x67054),x67051),f330(f175(x67054),x67052))) % 199.49/199.85 [6706]~P37(x67064,x67063,x67062)+E(x67061,f778(x67062,x67063,x67064))+~P108(f330(x67063,x67061))+~P108(f330(f330(f332(x67064),x67061),f330(f175(x67064),x67062))) % 199.49/199.85 [6854]~P5(x68541)+~P108(f330(f330(f238(x68541),x68542),f39(x68541,x68544)))+P108(f330(f330(f238(x68541),x68542),x68543))+~P108(f330(f330(f332(x68541),x68543),x68544)) % 199.49/199.85 [6998]~P110(x69981)+~P13(x69981,f330(f330(f154(x69981),x69982),x69984))+~P108(f330(f330(f332(x69981),x69983),f330(f175(x69981),x69984)))+P108(f330(f330(f238(x69981),x69982),x69983)) % 199.49/199.85 [7087]~P5(x70871)+~P108(f330(f330(f238(x70871),f38(x70871,x70874)),x70873))+P108(f330(f330(f238(x70871),x70872),x70873))+~P108(f330(f330(f332(x70871),x70872),x70874)) % 199.49/199.85 [7495]~P110(x74951)+E(f330(f330(f113(f935(x74951,a923)),f330(f305(x74951,x74952),x74953)),f330(f305(x74951,x74953),x74954)),f330(f305(x74951,x74952),x74954))+~P108(f330(f330(f238(x74951),x74953),x74954))+~P108(f330(f330(f238(x74951),x74952),x74953)) % 199.49/199.85 [7539]P37(x75391,x75392,x75393)+~E(f780(x75393,x75392,x75391,x75394),x75394)+~P108(f330(x75392,x75394))+~P108(f330(f330(f332(x75391),x75394),f330(f175(x75391),x75393))) % 199.49/199.85 [7540]P37(x75401,x75402,x75403)+~E(f788(x75403,x75402,x75401,x75404),x75404)+~P108(f330(x75402,x75404))+~P108(f330(f330(f332(x75401),x75404),f330(f175(x75401),x75403))) % 199.49/199.85 [7614]~P110(x76141)+E(f330(f330(f113(f935(x76141,a923)),f330(f305(x76141,x76142),x76143)),f306(x76141,x76143,x76144)),f306(x76141,x76142,x76144))+~P108(f330(f330(f238(x76141),x76143),x76144))+~P108(f330(f330(f238(x76141),x76142),x76143)) % 199.49/199.85 [7674]~P110(x76741)+E(f330(f330(f113(f935(x76741,a923)),f309(x76741,x76742,x76743)),f330(f305(x76741,x76743),x76744)),f309(x76741,x76742,x76744))+~P108(f330(f330(f238(x76741),x76743),x76744))+~P108(f330(f330(f239(x76741),x76742),x76743)) % 199.49/199.85 [7691]~P110(x76911)+E(f330(f330(f113(f935(x76911,a923)),f306(x76911,x76912,x76913)),f309(x76911,x76913,x76914)),f330(f305(x76911,x76912),x76914))+~P108(f330(f330(f238(x76911),x76912),x76913))+~P108(f330(f330(f239(x76911),x76913),x76914)) % 199.49/199.85 [7722]~P110(x77221)+E(f330(f330(f113(f935(x77221,a923)),f309(x77221,x77222,x77223)),f306(x77221,x77223,x77224)),f308(x77221,x77222,x77224))+~P108(f330(f330(f238(x77221),x77223),x77224))+~P108(f330(f330(f239(x77221),x77222),x77223)) % 199.49/199.85 [7723]~P110(x77231)+E(f330(f330(f113(f935(x77231,a923)),f308(x77231,x77232,x77233)),f309(x77231,x77233,x77234)),f309(x77231,x77232,x77234))+~P108(f330(f330(f238(x77231),x77232),x77233))+~P108(f330(f330(f239(x77231),x77233),x77234)) % 199.49/199.85 [7724]~P110(x77241)+E(f330(f330(f113(f935(x77241,a923)),f308(x77241,x77242,x77243)),f308(x77241,x77243,x77244)),f308(x77241,x77242,x77244))+~P108(f330(f330(f238(x77241),x77243),x77244))+~P108(f330(f330(f238(x77241),x77242),x77243)) % 199.49/199.85 [7725]~P110(x77251)+E(f330(f330(f113(f935(x77251,a923)),f306(x77251,x77252,x77253)),f308(x77251,x77253,x77254)),f306(x77251,x77252,x77254))+~P108(f330(f330(f238(x77251),x77253),x77254))+~P108(f330(f330(f238(x77251),x77252),x77253)) % 199.49/199.85 [8506]P25(x85061,x85062,f726(x85063,x85062,x85064,x85061),x85064)+~P108(f330(f62(x85062),x85063))+~P108(f330(f62(x85061),x85064))+~P108(f330(f330(f238(a928),f330(f36(x85061),x85064)),f330(f36(x85062),x85063))) % 199.49/199.85 [8527]P37(x85271,x85272,x85273)+~P108(f330(x85272,x85274))+P108(f330(x85272,f780(x85273,x85272,x85271,x85274)))+~P108(f330(f330(f332(x85271),x85274),f330(f175(x85271),x85273))) % 199.49/199.85 [8528]P37(x85281,x85282,x85283)+~P108(f330(x85282,x85284))+P108(f330(x85282,f788(x85283,x85282,x85281,x85284)))+~P108(f330(f330(f332(x85281),x85284),f330(f175(x85281),x85283))) % 199.49/199.85 [8583]~P72(x85831)+~E(f330(x85833,f870(x85833,x85834,x85832,x85831)),f80(x85831))+E(f330(f330(f330(f66(x85831,x85832,f83(x85831)),x85833),f80(x85831)),x85834),f80(x85831))+~P108(f330(f62(x85832),x85834)) % 199.49/199.85 [8848]~P113(x88481)+~P108(f330(f330(f238(x88481),f2(x88481)),x88483))+P108(f330(f330(f238(x88481),x88482),x88483))+~P108(f330(f330(f238(x88481),f330(f330(f247(x88481),x88482),f330(a115,x88484))),f330(f330(f247(x88481),x88483),f330(a115,x88484)))) % 199.49/199.85 [9169]P37(x91691,x91692,x91693)+~P108(f330(x91692,x91694))+~P108(f330(f330(f332(x91691),x91694),f330(f175(x91691),x91693)))+P108(f330(f330(f332(x91691),f780(x91693,x91692,x91691,x91694)),f330(f175(x91691),x91693))) % 199.49/199.85 [9170]P37(x91701,x91702,x91703)+~P108(f330(x91702,x91704))+~P108(f330(f330(f332(x91701),x91704),f330(f175(x91701),x91703)))+P108(f330(f330(f332(x91701),f788(x91703,x91702,x91701,x91704)),f330(f175(x91701),x91703))) % 199.49/199.85 [9248]~P72(x92481)+E(f330(f330(f330(f66(x92481,x92482,f83(x92481)),x92483),f80(x92481)),x92484),f80(x92481))+~P108(f330(f62(x92482),x92484))+P108(f330(f330(f332(x92482),f870(x92483,x92484,x92482,x92481)),x92484)) % 199.49/199.85 [9741]~P108(f330(f330(f238(a1),x97414),f2(a1)))+P108(f330(f330(f238(a1),f330(f330(f82(a1),f330(f330(f83(a1),x97411),f46(a1,x97412,x97413))),x97414)),f2(a1)))+~P108(f330(f330(f239(a1),f2(a1)),x97413))+~P108(f330(f330(f239(a1),x97411),x97414)) % 199.49/199.85 [10178]~P108(f330(f62(x101781),x101782))+~P108(f330(f330(f332(x101781),x101784),x101782))+~P108(f330(f330(f332(x101781),x101783),x101782))+P108(f330(f330(f239(a928),f330(f36(x101781),f330(f330(f23(f935(x101781,a923)),f330(f330(f23(f935(x101781,a923)),x101782),f330(f330(f312(x101781),x101783),f191(f935(x101781,a923))))),f330(f330(f312(x101781),x101784),f191(f935(x101781,a923)))))),f330(f36(x101781),x101782))) % 199.49/199.85 [7145]~P149(x71453)+~P124(x71453)+P108(f330(x71451,f869(x71452,x71451,x71453)))+~P108(f330(x71451,f330(f330(f83(x71453),x71452),x71454))) % 199.49/199.85 [7203]~P110(x72031)+~P108(f330(f330(f238(x72031),x72032),x72034))+~P108(f330(f330(f238(x72031),x72032),x72033))+P108(f330(f330(f238(x72031),x72032),f330(f330(f236(x72031),x72033),x72034))) % 199.49/199.85 [7206]~P104(x72061)+~P108(f330(f330(f238(x72061),x72062),x72064))+~P108(f330(f330(f238(x72061),x72062),x72063))+P108(f330(f330(f238(x72061),x72062),f330(f330(f104(x72061),x72063),x72064))) % 199.49/199.85 [7207]~P110(x72071)+~P108(f330(f330(f239(x72071),x72072),x72074))+~P108(f330(f330(f239(x72071),x72072),x72073))+P108(f330(f330(f239(x72071),x72072),f330(f330(f236(x72071),x72073),x72074))) % 199.49/199.85 [7227]~P67(x72272)+E(x72271,f2(x72272))+E(f330(f330(f294(x72272),f330(f330(f247(x72272),x72271),x72273)),f330(f330(f247(x72272),x72271),x72274)),f330(f330(f247(x72272),x72271),f330(f330(f23(a928),x72273),x72274)))+~P108(f330(f330(f238(a928),x72274),x72273)) % 199.49/199.85 [7271]~P110(x72711)+~P13(x72711,f330(f330(f154(x72711),x72713),x72714))+P13(x72711,f330(f330(f154(x72711),x72712),f330(f330(f154(x72711),x72713),x72714)))+~P108(f330(f330(f238(x72711),x72712),x72713)) % 199.49/199.85 [7309]~P89(x73091)+~P108(f330(f330(f238(x73091),f2(x73091)),x73094))+~P108(f330(f330(f238(x73091),x73092),x73093))+P108(f330(f330(f238(x73091),x73092),f330(f330(f82(x73091),x73093),x73094))) % 199.49/199.85 [7310]~P89(x73101)+~P108(f330(f330(f238(x73101),f2(x73101)),x73103))+~P108(f330(f330(f238(x73101),x73102),x73104))+P108(f330(f330(f238(x73101),x73102),f330(f330(f82(x73101),x73103),x73104))) % 199.49/199.85 [7311]~P113(x73111)+~P108(f330(f330(f239(x73111),f2(x73111)),x73113))+~P108(f330(f330(f239(x73111),x73112),x73114))+P108(f330(f330(f239(x73111),x73112),f330(f330(f82(x73111),x73113),x73114))) % 199.49/199.85 [7312]~P89(x73121)+~P108(f330(f330(f238(x73121),x73122),x73124))+~P108(f330(f330(f239(x73121),f2(x73121)),x73123))+P108(f330(f330(f239(x73121),x73122),f330(f330(f82(x73121),x73123),x73124))) % 199.49/199.85 [7313]~P89(x73131)+~P108(f330(f330(f238(x73131),f2(x73131)),x73133))+~P108(f330(f330(f239(x73131),x73132),x73134))+P108(f330(f330(f239(x73131),x73132),f330(f330(f82(x73131),x73133),x73134))) % 199.49/199.85 [7354]~P110(x73541)+P108(f330(f330(f238(x73541),x73542),x73543))+P108(f330(f330(f238(x73541),x73542),x73544))+~P108(f330(f330(f238(x73541),x73542),f330(f330(f237(x73541),x73544),x73543))) % 199.49/199.85 [7355]~P110(x73551)+P108(f330(f330(f239(x73551),x73552),x73553))+P108(f330(f330(f239(x73551),x73552),x73554))+~P108(f330(f330(f239(x73551),x73552),f330(f330(f237(x73551),x73554),x73553))) % 199.49/199.85 [7647]~P112(x76472)+~P65(x76471)+~P108(f330(f330(f239(f935(x76471,x76472)),x76473),x76474))+P108(f330(f330(f238(f935(x76471,x76472)),x76473),x76474)) % 199.49/199.85 [8009]~P69(x80091)+~P108(f330(f330(f239(x80091),x80094),f2(x80091)))+~P108(f330(f330(f238(x80091),x80093),f330(f330(f294(x80091),x80092),x80094)))+P108(f330(f330(f238(x80091),x80092),f330(f330(f83(x80091),x80093),x80094))) % 199.49/199.85 [8010]~P69(x80101)+~P108(f330(f330(f239(x80101),x80104),f2(x80101)))+~P108(f330(f330(f238(x80101),x80103),f330(f330(f83(x80101),x80102),x80104)))+P108(f330(f330(f238(x80101),x80102),f330(f330(f294(x80101),x80103),x80104))) % 199.49/199.85 [8011]~P69(x80111)+~P108(f330(f330(f239(x80111),x80114),f2(x80111)))+~P108(f330(f330(f239(x80111),x80113),f330(f330(f294(x80111),x80112),x80114)))+P108(f330(f330(f239(x80111),x80112),f330(f330(f83(x80111),x80113),x80114))) % 199.49/199.85 [8012]~P69(x80121)+~P108(f330(f330(f239(x80121),x80124),f2(x80121)))+~P108(f330(f330(f239(x80121),x80123),f330(f330(f83(x80121),x80122),x80124)))+P108(f330(f330(f239(x80121),x80122),f330(f330(f294(x80121),x80123),x80124))) % 199.49/199.85 [8117]~P133(x81171)+~P108(f330(f330(f238(x81171),x81172),f2(x81171)))+~P108(f330(f330(f238(x81171),x81174),x81173))+P108(f330(f330(f238(x81171),f330(f330(f83(x81171),x81172),x81173)),f330(f330(f83(x81171),x81172),x81174))) % 199.49/199.85 [8118]~P129(x81181)+~P108(f330(f330(f239(x81181),x81182),f2(x81181)))+~P108(f330(f330(f238(x81181),x81184),x81183))+P108(f330(f330(f238(x81181),f330(f330(f83(x81181),x81182),x81183)),f330(f330(f83(x81181),x81182),x81184))) % 199.49/199.85 [8119]~P133(x81191)+~P108(f330(f330(f238(x81191),x81193),f2(x81191)))+~P108(f330(f330(f238(x81191),x81194),x81192))+P108(f330(f330(f238(x81191),f330(f330(f83(x81191),x81192),x81193)),f330(f330(f83(x81191),x81194),x81193))) % 199.49/199.85 [8120]~P68(x81201)+~P108(f330(f330(f238(x81201),x81203),f2(x81201)))+~P108(f330(f330(f238(x81201),x81204),x81202))+P108(f330(f330(f238(x81201),f330(f330(f294(x81201),x81202),x81203)),f330(f330(f294(x81201),x81204),x81203))) % 199.49/199.85 [8124]~P129(x81241)+~P108(f330(f330(f239(x81241),x81243),f2(x81241)))+~P108(f330(f330(f239(x81241),x81244),x81242))+P108(f330(f330(f239(x81241),f330(f330(f83(x81241),x81242),x81243)),f330(f330(f83(x81241),x81244),x81243))) % 199.49/199.85 [8125]~P129(x81251)+~P108(f330(f330(f239(x81251),x81252),f2(x81251)))+~P108(f330(f330(f239(x81251),x81254),x81253))+P108(f330(f330(f239(x81251),f330(f330(f83(x81251),x81252),x81253)),f330(f330(f83(x81251),x81252),x81254))) % 199.49/199.85 [8126]~P69(x81261)+~P108(f330(f330(f239(x81261),x81263),f2(x81261)))+~P108(f330(f330(f239(x81261),x81264),x81262))+P108(f330(f330(f239(x81261),f330(f330(f294(x81261),x81262),x81263)),f330(f330(f294(x81261),x81264),x81263))) % 199.49/199.85 [8127]~P113(x81271)+~P108(f330(f330(f239(x81271),f80(x81271)),x81272))+~P108(f330(f330(f238(a928),x81273),x81274))+P108(f330(f330(f238(x81271),f330(f330(f247(x81271),x81272),x81273)),f330(f330(f247(x81271),x81272),x81274))) % 199.49/199.85 [8128]~P113(x81281)+~P108(f330(f330(f238(x81281),f80(x81281)),x81282))+~P108(f330(f330(f238(a928),x81283),x81284))+P108(f330(f330(f238(x81281),f330(f330(f247(x81281),x81282),x81283)),f330(f330(f247(x81281),x81282),x81284))) % 199.49/199.85 [8130]~P113(x81301)+~P108(f330(f330(f239(x81301),f80(x81301)),x81302))+~P108(f330(f330(f239(a928),x81303),x81304))+P108(f330(f330(f239(x81301),f330(f330(f247(x81301),x81302),x81303)),f330(f330(f247(x81301),x81302),x81304))) % 199.49/199.85 [8157]P108(f330(f330(f239(a928),f2(a928)),f330(x81571,x81572)))+~P108(f330(f62(x81573),x81574))+~P108(f330(f330(f332(x81573),x81572),x81574))+~P108(f330(f330(f239(a928),f2(a928)),f330(f330(f9(x81573,a928),x81571),x81574))) % 199.49/199.85 [8166]~P129(x81661)+~P108(f330(f330(f239(x81661),f2(x81661)),x81662))+~P108(f330(f330(f238(x81661),x81663),x81664))+P108(f330(f330(f238(x81661),f330(f330(f83(x81661),x81662),x81663)),f330(f330(f83(x81661),x81662),x81664))) % 199.49/199.85 [8167]~P142(x81671)+~P108(f330(f330(f238(x81671),x81673),x81674))+~P108(f330(f330(f238(x81671),f2(x81671)),x81672))+P108(f330(f330(f238(x81671),f330(f330(f83(x81671),x81672),x81673)),f330(f330(f83(x81671),x81672),x81674))) % 199.49/199.85 [8168]~P141(x81681)+~P108(f330(f330(f238(x81681),x81683),x81684))+~P108(f330(f330(f238(x81681),f2(x81681)),x81682))+P108(f330(f330(f238(x81681),f330(f330(f83(x81681),x81682),x81683)),f330(f330(f83(x81681),x81682),x81684))) % 199.49/199.85 [8169]~P142(x81691)+~P108(f330(f330(f238(x81691),x81692),x81694))+~P108(f330(f330(f238(x81691),f2(x81691)),x81693))+P108(f330(f330(f238(x81691),f330(f330(f83(x81691),x81692),x81693)),f330(f330(f83(x81691),x81694),x81693))) % 199.49/199.85 [8170]~P113(x81701)+~P108(f330(f330(f238(x81701),x81702),x81704))+~P108(f330(f330(f238(x81701),f2(x81701)),x81702))+P108(f330(f330(f238(x81701),f330(f330(f247(x81701),x81702),x81703)),f330(f330(f247(x81701),x81704),x81703))) % 199.49/199.85 [8171]~P68(x81711)+~P108(f330(f330(f238(x81711),x81712),x81714))+~P108(f330(f330(f238(x81711),f2(x81711)),x81713))+P108(f330(f330(f238(x81711),f330(f330(f294(x81711),x81712),x81713)),f330(f330(f294(x81711),x81714),x81713))) % 199.49/199.85 [8173]~P122(x81731)+~P108(f330(f330(f239(x81731),x81733),x81734))+~P108(f330(f330(f239(x81731),f2(x81731)),x81732))+P108(f330(f330(f239(x81731),f330(f330(f83(x81731),x81732),x81733)),f330(f330(f83(x81731),x81732),x81734))) % 199.49/199.85 [8174]~P138(x81741)+~P108(f330(f330(f239(x81741),x81743),x81744))+~P108(f330(f330(f239(x81741),f2(x81741)),x81742))+P108(f330(f330(f239(x81741),f330(f330(f83(x81741),x81742),x81743)),f330(f330(f83(x81741),x81742),x81744))) % 199.49/199.85 [8175]~P129(x81751)+~P108(f330(f330(f239(x81751),x81752),x81754))+~P108(f330(f330(f239(x81751),f2(x81751)),x81753))+P108(f330(f330(f239(x81751),f330(f330(f83(x81751),x81752),x81753)),f330(f330(f83(x81751),x81754),x81753))) % 199.49/199.85 [8176]~P138(x81761)+~P108(f330(f330(f239(x81761),x81762),x81764))+~P108(f330(f330(f239(x81761),f2(x81761)),x81763))+P108(f330(f330(f239(x81761),f330(f330(f83(x81761),x81762),x81763)),f330(f330(f83(x81761),x81764),x81763))) % 199.49/199.85 [8177]~P129(x81771)+~P108(f330(f330(f239(x81771),x81773),x81774))+~P108(f330(f330(f239(x81771),f2(x81771)),x81772))+P108(f330(f330(f239(x81771),f330(f330(f83(x81771),x81772),x81773)),f330(f330(f83(x81771),x81772),x81774))) % 199.49/199.85 [8178]~P69(x81781)+~P108(f330(f330(f239(x81781),x81782),x81784))+~P108(f330(f330(f239(x81781),f2(x81781)),x81783))+P108(f330(f330(f239(x81781),f330(f330(f294(x81781),x81782),x81783)),f330(f330(f294(x81781),x81784),x81783))) % 199.49/199.85 [8220]~P111(x82202)+P108(f330(f330(f239(f935(x82201,x82202)),x82204),x82203))+~P108(f330(f330(f238(f935(x82201,x82202)),x82204),x82203))+P108(f330(f330(f238(f935(x82201,x82202)),x82203),x82204)) % 199.49/199.85 [8260]P108(f330(f330(f332(x82601),x82602),x82603))+P108(f330(f330(f332(x82601),x82602),x82604))+~P108(f330(f330(f238(f935(x82601,a923)),x82604),x82603))+P108(f330(f330(f239(f935(x82601,a923)),x82604),f330(f330(f312(x82601),x82602),x82603))) % 199.49/199.85 [8371]~P123(x83712)+E(x83711,f2(x83712))+P108(f330(f330(f290(x83712),x83713),x83714))+~P108(f330(f330(f290(x83712),f330(f330(f83(x83712),x83713),x83711)),f330(f330(f83(x83712),x83714),x83711))) % 199.49/199.85 [8372]~P123(x83722)+E(x83721,f2(x83722))+P108(f330(f330(f290(x83722),x83723),x83724))+~P108(f330(f330(f290(x83722),f330(f330(f83(x83722),x83721),x83723)),f330(f330(f83(x83722),x83721),x83724))) % 199.49/199.85 [8419]P108(f330(f330(f332(x84191),x84192),x84193))+P108(f330(f330(f332(x84191),x84192),x84194))+~P108(f330(f330(f239(f935(x84191,a923)),x84194),f330(f330(f312(x84191),x84192),x84193)))+P108(f330(f330(f238(f935(x84191,a923)),x84194),x84193)) % 199.49/199.85 [8484]~P129(x84841)+P108(f330(f330(f239(x84841),x84843),x84842))+P108(f330(f330(f239(x84841),x84842),x84843))+~P108(f330(f330(f239(x84841),f330(f330(f83(x84841),x84844),x84842)),f330(f330(f83(x84841),x84844),x84843))) % 199.49/199.85 [8485]~P129(x84851)+P108(f330(f330(f239(x84851),x84853),x84852))+P108(f330(f330(f239(x84851),x84852),x84853))+~P108(f330(f330(f239(x84851),f330(f330(f83(x84851),x84852),x84854)),f330(f330(f83(x84851),x84853),x84854))) % 199.49/199.85 [8496]~P129(x84961)+P108(f330(f330(f239(x84961),x84964),f2(x84961)))+P108(f330(f330(f239(x84961),x84962),x84963))+~P108(f330(f330(f239(x84961),f330(f330(f83(x84961),x84962),x84964)),f330(f330(f83(x84961),x84963),x84964))) % 199.49/199.85 [8497]~P129(x84971)+P108(f330(f330(f239(x84971),x84974),f2(x84971)))+P108(f330(f330(f239(x84971),x84972),x84973))+~P108(f330(f330(f239(x84971),f330(f330(f83(x84971),x84974),x84972)),f330(f330(f83(x84971),x84974),x84973))) % 199.49/199.85 [8500]~P129(x85001)+P108(f330(f330(f239(x85001),x85002),x85003))+P108(f330(f330(f239(x85001),f2(x85001)),x85004))+~P108(f330(f330(f239(x85001),f330(f330(f83(x85001),x85004),x85003)),f330(f330(f83(x85001),x85004),x85002))) % 199.49/199.85 [8501]~P129(x85011)+P108(f330(f330(f239(x85011),x85012),x85013))+P108(f330(f330(f239(x85011),f2(x85011)),x85014))+~P108(f330(f330(f239(x85011),f330(f330(f83(x85011),x85013),x85014)),f330(f330(f83(x85011),x85012),x85014))) % 199.49/199.85 [8514]~P129(x85141)+P108(f330(f330(f239(x85141),x85142),f2(x85141)))+P108(f330(f330(f239(x85141),f2(x85141)),x85142))+~P108(f330(f330(f239(x85141),f330(f330(f83(x85141),x85143),x85142)),f330(f330(f83(x85141),x85144),x85142))) % 199.49/199.85 [8515]~P129(x85151)+P108(f330(f330(f239(x85151),x85152),f2(x85151)))+P108(f330(f330(f239(x85151),f2(x85151)),x85152))+~P108(f330(f330(f239(x85151),f330(f330(f83(x85151),x85152),x85153)),f330(f330(f83(x85151),x85152),x85154))) % 199.49/199.85 [8545]~P129(x85451)+~P108(f330(f330(f239(x85451),x85454),f2(x85451)))+P108(f330(f330(f238(x85451),x85452),x85453))+~P108(f330(f330(f238(x85451),f330(f330(f83(x85451),x85454),x85453)),f330(f330(f83(x85451),x85454),x85452))) % 199.49/199.85 [8546]~P129(x85461)+~P108(f330(f330(f239(x85461),x85464),f2(x85461)))+P108(f330(f330(f239(x85461),x85462),x85463))+~P108(f330(f330(f239(x85461),f330(f330(f83(x85461),x85464),x85463)),f330(f330(f83(x85461),x85464),x85462))) % 199.49/199.85 [8557]~P113(x85573)+~P108(f330(f330(f239(x85573),f80(x85573)),x85574))+P108(f330(f330(f238(a928),x85571),x85572))+~P108(f330(f330(f238(x85573),f330(f330(f247(x85573),x85574),x85571)),f330(f330(f247(x85573),x85574),x85572))) % 199.49/199.85 [8559]~P113(x85593)+~P108(f330(f330(f239(x85593),f80(x85593)),x85594))+P108(f330(f330(f239(a928),x85591),x85592))+~P108(f330(f330(f239(x85593),f330(f330(f247(x85593),x85594),x85591)),f330(f330(f247(x85593),x85594),x85592))) % 199.49/199.85 [8569]~P129(x85691)+P108(f330(f330(f238(x85691),x85692),x85693))+~P108(f330(f330(f239(x85691),f2(x85691)),x85694))+~P108(f330(f330(f238(x85691),f330(f330(f83(x85691),x85694),x85692)),f330(f330(f83(x85691),x85694),x85693))) % 199.49/199.85 [8570]~P138(x85701)+P108(f330(f330(f238(x85701),x85702),x85703))+~P108(f330(f330(f239(x85701),f2(x85701)),x85704))+~P108(f330(f330(f238(x85701),f330(f330(f83(x85701),x85704),x85702)),f330(f330(f83(x85701),x85704),x85703))) % 199.49/199.85 [8571]~P138(x85711)+P108(f330(f330(f238(x85711),x85712),x85713))+~P108(f330(f330(f239(x85711),f2(x85711)),x85714))+~P108(f330(f330(f238(x85711),f330(f330(f83(x85711),x85712),x85714)),f330(f330(f83(x85711),x85713),x85714))) % 199.49/199.85 [8572]~P129(x85721)+P108(f330(f330(f239(x85721),x85722),x85723))+~P108(f330(f330(f239(x85721),f2(x85721)),x85724))+~P108(f330(f330(f239(x85721),f330(f330(f83(x85721),x85724),x85722)),f330(f330(f83(x85721),x85724),x85723))) % 199.49/199.85 [8573]~P138(x85731)+P108(f330(f330(f239(x85731),x85732),x85733))+~P108(f330(f330(f238(x85731),f2(x85731)),x85734))+~P108(f330(f330(f239(x85731),f330(f330(f83(x85731),x85734),x85732)),f330(f330(f83(x85731),x85734),x85733))) % 199.49/199.85 [8574]~P135(x85741)+P108(f330(f330(f239(x85741),x85742),x85743))+~P108(f330(f330(f238(x85741),f2(x85741)),x85744))+~P108(f330(f330(f239(x85741),f330(f330(f83(x85741),x85744),x85742)),f330(f330(f83(x85741),x85744),x85743))) % 199.49/199.85 [8575]~P113(x85751)+~P108(f330(f330(f238(x85751),f2(x85751)),x85753))+P108(f330(f330(f239(x85751),x85752),x85753))+~P108(f330(f330(f239(x85751),f330(f330(f247(x85751),x85752),x85754)),f330(f330(f247(x85751),x85753),x85754))) % 199.49/199.85 [8576]~P138(x85761)+P108(f330(f330(f239(x85761),x85762),x85763))+~P108(f330(f330(f238(x85761),f2(x85761)),x85764))+~P108(f330(f330(f239(x85761),f330(f330(f83(x85761),x85762),x85764)),f330(f330(f83(x85761),x85763),x85764))) % 199.49/199.85 [8577]~P135(x85771)+P108(f330(f330(f239(x85771),x85772),x85773))+~P108(f330(f330(f238(x85771),f2(x85771)),x85774))+~P108(f330(f330(f239(x85771),f330(f330(f83(x85771),x85772),x85774)),f330(f330(f83(x85771),x85773),x85774))) % 199.49/199.85 [8620]P108(f330(f330(f332(x86201),x86202),x86203))+~P108(f330(f330(f238(f935(x86201,a923)),x86203),x86204))+~P108(f330(f330(f239(f935(x86201,a923)),x86203),x86204))+P108(f330(f330(f239(f935(x86201,a923)),x86203),f330(f330(f312(x86201),x86202),x86204))) % 199.49/199.85 [8653]~P149(x86531)+~P124(x86531)+P108(f330(f330(f290(x86531),x86532),f330(f330(f82(x86531),f869(x86532,x86533,x86531)),f2(x86531))))+~P108(f330(x86533,f330(f330(f83(x86531),x86532),x86534))) % 199.49/199.85 [8998]E(f330(f330(f23(a1),f466(x89981,x89982,x89983,x89984)),f467(x89981,x89982,x89983,x89984)),x89984)+~P108(f330(f330(f239(a1),f2(a1)),x89983))+~P108(f330(f330(f238(a1),x89981),x89984))+P108(f330(f330(f238(a1),x89981),f330(f330(f82(a1),x89984),x89983))) % 199.49/199.85 [8999]E(f330(f330(f23(a1),f473(x89991,x89992,x89993,x89994)),f474(x89991,x89992,x89993,x89994)),x89994)+~P108(f330(f330(f239(a1),f2(a1)),x89993))+~P108(f330(f330(f239(a1),x89991),x89994))+P108(f330(f330(f239(a1),x89991),f330(f330(f82(a1),x89994),x89993))) % 199.49/199.85 [9149]~E(f330(f330(f167(x91491),x91493),f687(x91494,x91493,x91491,x91492)),f330(f330(f167(x91491),x91494),f687(x91494,x91493,x91491,x91492)))+E(f330(f330(f178(x91491),x91492),x91493),f330(f330(f178(x91491),x91492),x91494))+~P108(f330(f330(f238(a928),x91492),f330(f192(f929(x91491)),x91493)))+~P108(f330(f330(f238(a928),x91492),f330(f192(f929(x91491)),x91494))) % 199.49/199.85 [9216]~P108(f330(f330(f239(a1),f2(a1)),x92163))+~P108(f330(f330(f238(a1),x92161),x92164))+P108(f330(f330(f332(a1),f466(x92161,x92162,x92163,x92164)),x92162))+P108(f330(f330(f238(a1),x92161),f330(f330(f82(a1),x92164),x92163))) % 199.49/199.85 [9217]~P108(f330(f330(f239(a1),f2(a1)),x92173))+~P108(f330(f330(f239(a1),x92171),x92174))+P108(f330(f330(f332(a1),f473(x92171,x92172,x92173,x92174)),x92172))+P108(f330(f330(f239(a1),x92171),f330(f330(f82(a1),x92174),x92173))) % 199.49/199.85 [9257]~P110(x92571)+~P108(f330(f62(x92571),x92573))+~P108(f330(f330(f332(x92571),x92574),x92573))+P108(f330(f330(f238(x92571),f330(f330(f65(x92571,x92571,f236(x92571)),x92572),x92573)),f330(f330(f236(x92571),x92574),x92572))) % 199.49/199.85 [9258]~P104(x92581)+~P108(f330(f62(x92581),x92583))+~P108(f330(f330(f332(x92581),x92584),x92583))+P108(f330(f330(f238(x92581),f330(f330(f65(x92581,x92581,f104(x92581)),x92582),x92583)),f330(f330(f104(x92581),x92584),x92582))) % 199.49/199.85 [9302]E(f330(f330(f178(x93021),x93022),x93023),f330(f330(f178(x93021),x93022),x93024))+P108(f330(f330(f239(a928),f687(x93023,x93024,x93021,x93022)),x93022))+~P108(f330(f330(f238(a928),x93022),f330(f192(f929(x93021)),x93023)))+~P108(f330(f330(f238(a928),x93022),f330(f192(f929(x93021)),x93024))) % 199.49/199.85 [9307]~P108(f330(f330(f239(a1),f2(a1)),x93073))+~P108(f330(f330(f238(a1),x93071),x93072))+P108(f330(f330(f332(a1),f467(x93071,x93074,x93073,x93072)),f306(a1,f80(a1),x93073)))+P108(f330(f330(f238(a1),x93071),f330(f330(f82(a1),x93072),x93073))) % 199.49/199.85 [9308]~P108(f330(f330(f239(a1),f2(a1)),x93083))+~P108(f330(f330(f239(a1),x93081),x93082))+P108(f330(f330(f332(a1),f474(x93081,x93084,x93083,x93082)),f306(a1,f80(a1),x93083)))+P108(f330(f330(f239(a1),x93081),f330(f330(f82(a1),x93082),x93083))) % 199.49/199.85 [9629]~P110(x96291)+~P108(f330(f62(x96291),x96294))+P108(f330(f330(f332(x96291),f605(x96292,x96293,x96294,x96291)),x96294))+P108(f330(f330(f238(x96291),f330(f330(f65(x96291,x96291,f237(x96291)),x96292),x96294)),f330(f330(f237(x96291),x96293),x96292))) % 199.49/199.85 [9630]~P105(x96301)+~P108(f330(f62(x96301),x96304))+P108(f330(f330(f332(x96301),f613(x96302,x96303,x96304,x96301)),x96304))+P108(f330(f330(f238(x96301),f330(f330(f65(x96301,x96301,f113(x96301)),x96302),x96304)),f330(f330(f113(x96301),x96303),x96302))) % 199.49/199.85 [9758]~P110(x97581)+~P108(f330(f62(x97581),x97583))+~P108(f330(f330(f238(x97581),f605(x97582,x97584,x97583,x97581)),x97584))+P108(f330(f330(f238(x97581),f330(f330(f65(x97581,x97581,f237(x97581)),x97582),x97583)),f330(f330(f237(x97581),x97584),x97582))) % 199.49/199.85 [9759]~P105(x97591)+~P108(f330(f62(x97591),x97593))+~P108(f330(f330(f238(x97591),f613(x97592,x97594,x97593,x97591)),x97594))+P108(f330(f330(f238(x97591),f330(f330(f65(x97591,x97591,f113(x97591)),x97592),x97593)),f330(f330(f113(x97591),x97594),x97592))) % 199.49/199.85 [9761]~P108(f330(f330(f238(a1),f2(a1)),x97614))+~P108(f330(f330(f239(a1),f2(a1)),x97613))+~P108(f330(f330(f239(a1),x97614),x97611))+P108(f330(f330(f239(a1),f330(f330(f82(a1),f330(f330(f83(a1),x97611),f46(a1,x97612,x97613))),x97614)),f330(f330(f83(a1),x97611),x97613))) % 199.49/199.85 [10149]E(x101491,x101492)+P108(f330(f330(f332(f934(f929(x101493),f929(x101493))),f330(f330(f255(f929(x101493),f929(x101493)),x101492),x101491)),f150(x101493,x101494)))+P108(f330(f330(f332(f934(f929(x101493),f929(x101493))),f330(f330(f255(f929(x101493),f929(x101493)),x101491),x101492)),f150(x101493,x101494)))+~P108(f330(f330(f332(f934(x101493,x101493)),f330(f330(f255(x101493,x101493),f661(x101491,x101492,x101494,x101493)),f662(x101491,x101492,x101494,x101493))),x101494)) % 199.49/199.85 [10150]E(x101501,x101502)+P108(f330(f330(f332(f934(f929(x101503),f929(x101503))),f330(f330(f255(f929(x101503),f929(x101503)),x101502),x101501)),f150(x101503,x101504)))+P108(f330(f330(f332(f934(f929(x101503),f929(x101503))),f330(f330(f255(f929(x101503),f929(x101503)),x101501),x101502)),f150(x101503,x101504)))+~P108(f330(f330(f332(f934(x101503,x101503)),f330(f330(f255(x101503,x101503),f662(x101501,x101502,x101504,x101503)),f661(x101501,x101502,x101504,x101503))),x101504)) % 199.49/199.85 [7713]~P110(x77131)+~P108(f330(f330(f238(x77131),x77133),x77134))+~P108(f330(f330(f238(x77131),x77132),x77134))+P108(f330(f330(f238(x77131),f330(f330(f237(x77131),x77132),x77133)),x77134)) % 199.49/199.85 [7716]~P105(x77161)+~P108(f330(f330(f238(x77161),x77163),x77164))+~P108(f330(f330(f238(x77161),x77162),x77164))+P108(f330(f330(f238(x77161),f330(f330(f113(x77161),x77162),x77163)),x77164)) % 199.49/199.85 [7717]~P110(x77171)+~P108(f330(f330(f239(x77171),x77173),x77174))+~P108(f330(f330(f239(x77171),x77172),x77174))+P108(f330(f330(f239(x77171),f330(f330(f237(x77171),x77172),x77173)),x77174)) % 199.49/199.85 [8034]~E(x80341,x80343)+E(f142(a928,f330(f305(a928,x80341),x80342)),f330(f330(f154(a928),x80343),x80344))+~E(f142(a928,f330(f305(a928,f330(f330(f82(a928),x80341),f80(a928))),x80342)),x80344)+~P108(f330(f330(f239(a928),x80341),x80342)) % 199.49/199.85 [8042]~P110(x80421)+P108(f330(f330(f238(x80421),x80422),x80423))+P108(f330(f330(f238(x80421),x80424),x80423))+~P108(f330(f330(f238(x80421),f330(f330(f236(x80421),x80424),x80422)),x80423)) % 199.49/199.85 [8043]~P110(x80431)+P108(f330(f330(f239(x80431),x80432),x80433))+P108(f330(f330(f239(x80431),x80434),x80433))+~P108(f330(f330(f239(x80431),f330(f330(f236(x80431),x80434),x80432)),x80433)) % 199.49/199.85 [8318]~P68(x83181)+~P108(f330(f330(f239(x83181),f2(x83181)),x83183))+~P108(f330(f330(f238(x83181),x83182),f330(f330(f294(x83181),x83184),x83183)))+P108(f330(f330(f238(x83181),f330(f330(f83(x83181),x83182),x83183)),x83184)) % 199.49/199.85 [8319]~P69(x83191)+~P108(f330(f330(f239(x83191),f2(x83191)),x83193))+~P108(f330(f330(f238(x83191),x83192),f330(f330(f294(x83191),x83194),x83193)))+P108(f330(f330(f238(x83191),f330(f330(f83(x83191),x83192),x83193)),x83194)) % 199.49/199.85 [8321]~P68(x83211)+~P108(f330(f330(f239(x83211),f2(x83211)),x83213))+~P108(f330(f330(f238(x83211),x83212),f330(f330(f83(x83211),x83214),x83213)))+P108(f330(f330(f238(x83211),f330(f330(f294(x83211),x83212),x83213)),x83214)) % 199.49/199.85 [8322]~P69(x83221)+~P108(f330(f330(f239(x83221),f2(x83221)),x83223))+~P108(f330(f330(f238(x83221),x83222),f330(f330(f83(x83221),x83224),x83223)))+P108(f330(f330(f238(x83221),f330(f330(f294(x83221),x83222),x83223)),x83224)) % 199.49/199.85 [8323]~P68(x83231)+~P108(f330(f330(f239(x83231),f2(x83231)),x83233))+~P108(f330(f330(f239(x83231),x83232),f330(f330(f294(x83231),x83234),x83233)))+P108(f330(f330(f239(x83231),f330(f330(f83(x83231),x83232),x83233)),x83234)) % 199.49/199.85 [8324]~P69(x83241)+~P108(f330(f330(f239(x83241),f2(x83241)),x83243))+~P108(f330(f330(f239(x83241),x83242),f330(f330(f294(x83241),x83244),x83243)))+P108(f330(f330(f239(x83241),f330(f330(f83(x83241),x83242),x83243)),x83244)) % 199.49/199.85 [8326]~P68(x83261)+~P108(f330(f330(f239(x83261),f2(x83261)),x83263))+~P108(f330(f330(f239(x83261),x83262),f330(f330(f83(x83261),x83264),x83263)))+P108(f330(f330(f239(x83261),f330(f330(f294(x83261),x83262),x83263)),x83264)) % 199.49/199.85 [8327]~P69(x83271)+~P108(f330(f330(f239(x83271),f2(x83271)),x83273))+~P108(f330(f330(f239(x83271),x83272),f330(f330(f83(x83271),x83274),x83273)))+P108(f330(f330(f239(x83271),f330(f330(f294(x83271),x83272),x83273)),x83274)) % 199.49/199.85 [8454]~P68(x84541)+~P108(f330(f330(f239(x84541),f2(x84541)),x84544))+P108(f330(f330(f238(x84541),x84542),f330(f330(f83(x84541),x84543),x84544)))+~P108(f330(f330(f238(x84541),f330(f330(f294(x84541),x84542),x84544)),x84543)) % 199.49/199.85 [8456]~P68(x84561)+~P108(f330(f330(f239(x84561),f2(x84561)),x84564))+P108(f330(f330(f238(x84561),x84562),f330(f330(f294(x84561),x84563),x84564)))+~P108(f330(f330(f238(x84561),f330(f330(f83(x84561),x84562),x84564)),x84563)) % 199.49/199.85 [8457]~P69(x84571)+~P108(f330(f330(f239(x84571),f2(x84571)),x84574))+P108(f330(f330(f238(x84571),x84572),f330(f330(f83(x84571),x84573),x84574)))+~P108(f330(f330(f238(x84571),f330(f330(f294(x84571),x84572),x84574)),x84573)) % 199.49/199.85 [8458]~P69(x84581)+~P108(f330(f330(f239(x84581),f2(x84581)),x84584))+P108(f330(f330(f238(x84581),x84582),f330(f330(f294(x84581),x84583),x84584)))+~P108(f330(f330(f238(x84581),f330(f330(f83(x84581),x84582),x84584)),x84583)) % 199.49/199.85 [8459]~P68(x84591)+~P108(f330(f330(f239(x84591),f2(x84591)),x84594))+P108(f330(f330(f239(x84591),x84592),f330(f330(f83(x84591),x84593),x84594)))+~P108(f330(f330(f239(x84591),f330(f330(f294(x84591),x84592),x84594)),x84593)) % 199.49/199.85 [8461]~P68(x84611)+~P108(f330(f330(f239(x84611),f2(x84611)),x84614))+P108(f330(f330(f239(x84611),x84612),f330(f330(f294(x84611),x84613),x84614)))+~P108(f330(f330(f239(x84611),f330(f330(f83(x84611),x84612),x84614)),x84613)) % 199.49/199.85 [8462]~P69(x84621)+~P108(f330(f330(f239(x84621),f2(x84621)),x84624))+P108(f330(f330(f239(x84621),x84622),f330(f330(f83(x84621),x84623),x84624)))+~P108(f330(f330(f239(x84621),f330(f330(f294(x84621),x84622),x84624)),x84623)) % 199.49/199.85 [8463]~P69(x84631)+~P108(f330(f330(f239(x84631),f2(x84631)),x84634))+P108(f330(f330(f239(x84631),x84632),f330(f330(f294(x84631),x84633),x84634)))+~P108(f330(f330(f239(x84631),f330(f330(f83(x84631),x84632),x84634)),x84633)) % 199.49/199.85 [8623]~P69(x86231)+~P108(f330(f330(f239(x86231),x86233),f2(x86231)))+~P108(f330(f330(f238(x86231),f330(f330(f294(x86231),x86234),x86233)),x86232))+P108(f330(f330(f238(x86231),f330(f330(f83(x86231),x86232),x86233)),x86234)) % 199.49/199.85 [8624]~P69(x86241)+~P108(f330(f330(f239(x86241),x86243),f2(x86241)))+~P108(f330(f330(f238(x86241),f330(f330(f83(x86241),x86244),x86243)),x86242))+P108(f330(f330(f238(x86241),f330(f330(f294(x86241),x86242),x86243)),x86244)) % 199.49/199.85 [8625]~P69(x86251)+~P108(f330(f330(f239(x86251),x86253),f2(x86251)))+~P108(f330(f330(f239(x86251),f330(f330(f294(x86251),x86254),x86253)),x86252))+P108(f330(f330(f239(x86251),f330(f330(f83(x86251),x86252),x86253)),x86254)) % 199.49/199.85 [8626]~P69(x86261)+~P108(f330(f330(f239(x86261),x86263),f2(x86261)))+~P108(f330(f330(f239(x86261),f330(f330(f83(x86261),x86264),x86263)),x86262))+P108(f330(f330(f239(x86261),f330(f330(f294(x86261),x86262),x86263)),x86264)) % 199.49/199.85 [8638]~P108(f330(x86381,x86384))+~P108(f330(f330(f239(a928),x86382),f330(f330(f83(a928),x86383),f330(a115,x86384))))+P108(f330(x86381,f330(f330(f37(a928),x86382),x86383)))+~P108(f330(f330(f238(a928),f330(f330(f83(a928),x86383),x86384)),x86382)) % 199.49/199.85 [8846]~P110(x88461)+~P108(f330(f62(x88461),x88464))+~P108(f330(f330(f332(x88461),x88462),x88464))+P108(f330(f330(f238(x88461),f330(f330(f237(x88461),x88462),x88463)),f330(f330(f65(x88461,x88461,f237(x88461)),x88463),x88464))) % 199.49/199.85 [8847]~P105(x88471)+~P108(f330(f62(x88471),x88474))+~P108(f330(f330(f332(x88471),x88472),x88474))+P108(f330(f330(f238(x88471),f330(f330(f113(x88471),x88472),x88473)),f330(f330(f65(x88471,x88471,f113(x88471)),x88473),x88474))) % 199.49/199.85 [9000]~P108(f330(f62(x90001),x90002))+E(f330(f36(x90001),f330(f330(f23(f935(x90001,a923)),x90002),f330(f330(f312(x90001),x90003),x90004))),f330(f330(f23(a928),f330(f36(x90001),f330(f330(f23(f935(x90001,a923)),x90002),x90004))),f80(a928)))+P108(f330(f330(f332(x90001),x90003),x90004))+~P108(f330(f330(f332(x90001),x90003),x90002)) % 199.49/199.85 [9077]E(f330(f330(f82(a1),f468(x90771,x90772,x90773,x90774)),f469(x90771,x90772,x90773,x90774)),x90774)+~P108(f330(f330(f239(a1),f2(a1)),x90773))+~P108(f330(f330(f238(a1),x90774),x90771))+P108(f330(f330(f238(a1),f330(f330(f23(a1),x90774),x90773)),x90771)) % 199.49/199.85 [9078]E(f330(f330(f82(a1),f475(x90781,x90782,x90783,x90784)),f476(x90781,x90782,x90783,x90784)),x90784)+~P108(f330(f330(f239(a1),f2(a1)),x90783))+~P108(f330(f330(f239(a1),x90784),x90781))+P108(f330(f330(f239(a1),f330(f330(f23(a1),x90784),x90783)),x90781)) % 199.49/199.85 [9287]~P108(f330(f330(f239(a1),f2(a1)),x92873))+~P108(f330(f330(f238(a1),x92874),x92871))+P108(f330(f330(f332(a1),f468(x92871,x92872,x92873,x92874)),x92872))+P108(f330(f330(f238(a1),f330(f330(f23(a1),x92874),x92873)),x92871)) % 199.49/199.85 [9288]~P108(f330(f330(f239(a1),f2(a1)),x92883))+~P108(f330(f330(f239(a1),x92884),x92881))+P108(f330(f330(f332(a1),f475(x92881,x92882,x92883,x92884)),x92882))+P108(f330(f330(f239(a1),f330(f330(f23(a1),x92884),x92883)),x92881)) % 199.49/199.85 [9375]~P108(f330(f330(f239(a1),f2(a1)),x93752))+~P108(f330(f330(f238(a1),x93751),x93753))+P108(f330(f330(f332(a1),f469(x93753,x93754,x93752,x93751)),f306(a1,f80(a1),x93752)))+P108(f330(f330(f238(a1),f330(f330(f23(a1),x93751),x93752)),x93753)) % 199.49/199.85 [9376]~P108(f330(f330(f239(a1),f2(a1)),x93762))+~P108(f330(f330(f239(a1),x93761),x93763))+P108(f330(f330(f332(a1),f476(x93763,x93764,x93762,x93761)),f306(a1,f80(a1),x93762)))+P108(f330(f330(f239(a1),f330(f330(f23(a1),x93761),x93762)),x93763)) % 199.49/199.85 [9394]~P108(f330(f330(f238(a1),f2(a1)),x93944))+~P108(f330(f330(f239(a1),f2(a1)),x93943))+~P108(f330(f330(f239(a1),x93944),x93941))+P108(f330(f330(f238(a1),f2(a1)),f330(f330(f82(a1),f330(f330(f83(a1),x93941),f46(a1,x93942,x93943))),x93944))) % 199.49/199.85 [9423]E(x94231,x94232)+~P41(x94233,x94234)+~P108(f330(f330(f332(f934(x94233,x94233)),f330(f330(f255(x94233,x94233),x94232),x94231)),x94234))+~P108(f330(f330(f332(f934(x94233,x94233)),f330(f330(f255(x94233,x94233),x94231),x94232)),x94234)) % 199.49/199.85 [9455]~P110(x94551)+~P108(f330(f62(x94551),x94554))+~P108(f330(f330(f238(x94551),x94552),f604(x94553,x94552,x94554,x94551)))+P108(f330(f330(f238(x94551),f330(f330(f236(x94551),x94552),x94553)),f330(f330(f65(x94551,x94551,f236(x94551)),x94553),x94554))) % 199.49/199.85 [9456]~P104(x94561)+~P108(f330(f62(x94561),x94564))+~P108(f330(f330(f238(x94561),x94562),f612(x94563,x94562,x94564,x94561)))+P108(f330(f330(f238(x94561),f330(f330(f104(x94561),x94562),x94563)),f330(f330(f65(x94561,x94561,f104(x94561)),x94563),x94564))) % 199.49/199.85 [9472]~P108(f330(f330(f238(a1),x94724),f2(a1)))+~P108(f330(f330(f239(a1),f2(a1)),x94722))+~P108(f330(f330(f239(a1),x94721),x94724))+P108(f330(f330(f239(a1),f330(f330(f83(a1),x94721),x94722)),f330(f330(f82(a1),f330(f330(f83(a1),x94721),f46(a1,x94723,x94722))),x94724))) % 199.49/199.85 [9497]P108(f330(f62(x94971),x94972))+~P108(f330(f62(x94971),x94973))+~P108(f330(f330(f332(f935(x94971,a923)),x94972),f330(f330(f61(x94971),x94973),x94974)))+~P108(f330(f330(f238(f935(f934(x94971,x94971),a923)),x94974),f330(f330(f257(x94971,x94971),x94973),f330(f16(f935(x94971,a923),x94971),x94973)))) % 199.49/199.85 [9521]~P110(x95211)+~P108(f330(f62(x95211),x95214))+P108(f330(f330(f332(x95211),f604(x95212,x95213,x95214,x95211)),x95214))+P108(f330(f330(f238(x95211),f330(f330(f236(x95211),x95213),x95212)),f330(f330(f65(x95211,x95211,f236(x95211)),x95212),x95214))) % 199.49/199.85 [9522]~P104(x95221)+~P108(f330(f62(x95221),x95224))+P108(f330(f330(f332(x95221),f612(x95222,x95223,x95224,x95221)),x95224))+P108(f330(f330(f238(x95221),f330(f330(f104(x95221),x95223),x95222)),f330(f330(f65(x95221,x95221,f104(x95221)),x95222),x95224))) % 199.49/199.85 [9925]~P108(f330(f62(x99252),x99254))+~P108(f330(f62(x99251),x99253))+~P108(f330(f330(f238(a928),f330(f36(x99252),x99254)),f330(f36(x99251),x99253)))+P108(f330(f330(f238(f935(x99251,a923)),f330(f313(x99252,x99251,f726(x99253,x99251,x99254,x99252)),x99254)),x99253)) % 199.49/199.85 [9570]~P108(f330(f330(f332(x95701),x95702),x95704))+P108(f330(f330(f332(x95701),x95702),x95703))+~P108(f330(f330(f239(f935(x95701,a923)),x95704),f330(f330(f312(x95701),x95702),x95703)))+P108(f330(f330(f239(f935(x95701,a923)),f330(f330(f23(f935(x95701,a923)),x95704),f330(f330(f312(x95701),x95702),f191(f935(x95701,a923))))),x95703)) % 199.49/199.85 [9738]~P108(f330(f330(f332(x97381),x97382),x97384))+P108(f330(f330(f332(x97381),x97382),x97383))+P108(f330(f330(f239(f935(x97381,a923)),x97384),f330(f330(f312(x97381),x97382),x97383)))+~P108(f330(f330(f239(f935(x97381,a923)),f330(f330(f23(f935(x97381,a923)),x97384),f330(f330(f312(x97381),x97382),f191(f935(x97381,a923))))),x97383)) % 199.49/199.85 [9764]P108(f330(f330(f332(x97641),x97642),x97643))+~P108(f330(f330(f238(f935(x97641,a923)),x97644),x97643))+P108(f330(f330(f239(f935(x97641,a923)),x97644),f330(f330(f312(x97641),x97642),x97643)))+~P108(f330(f330(f239(f935(x97641,a923)),f330(f330(f23(f935(x97641,a923)),x97644),f330(f330(f312(x97641),x97642),f191(f935(x97641,a923))))),x97643)) % 199.49/199.85 [9769]~P108(f330(f330(f332(x97691),x97693),x97692))+~P108(f330(f330(f239(f935(x97691,a923)),x97692),x97694))+P108(f330(f330(f239(f935(x97691,a923)),x97692),f330(f330(f312(x97691),x97693),x97694)))+~P108(f330(f330(f239(f935(x97691,a923)),f330(f330(f23(f935(x97691,a923)),x97692),f330(f330(f312(x97691),x97693),f191(f935(x97691,a923))))),x97694)) % 199.49/199.85 [9785]~P108(f330(f330(f238(f935(x97851,a923)),x97852),x97854))+~P108(f330(f330(f239(f935(x97851,a923)),x97852),x97854))+P108(f330(f330(f239(f935(x97851,a923)),x97852),f330(f330(f312(x97851),x97853),x97854)))+~P108(f330(f330(f239(f935(x97851,a923)),f330(f330(f23(f935(x97851,a923)),x97852),f330(f330(f312(x97851),x97853),f191(f935(x97851,a923))))),x97854)) % 199.49/199.85 [9830]~P112(x98302)+~P65(x98301)+~P108(f330(f330(f238(f935(x98301,x98302)),x98303),x98304))+P108(f330(f58(x98301),f330(f330(f18(x98301,x98302,a923),f330(f330(f8(x98302,f935(x98302,a923),x98301),f238(x98302)),x98303)),x98304))) % 199.49/199.85 [9973]~P112(x99732)+~P65(x99731)+P108(f330(f330(f238(f935(x99731,x99732)),x99733),x99734))+~P108(f330(f58(x99731),f330(f330(f18(x99731,x99732,a923),f330(f330(f8(x99732,f935(x99732,a923),x99731),f238(x99732)),x99733)),x99734))) % 199.49/199.85 [10140]E(f330(f330(f167(x101401),f330(f330(f167(f929(x101401)),f182(x101401,x101402)),x101403)),x101404),f330(f330(f167(x101401),f330(f330(f167(f929(x101401)),x101402),x101404)),x101403))+~P108(f330(f330(f239(a928),x101403),f330(f192(f929(f929(x101401))),f182(x101401,x101402))))+~P13(a928,f330(f171(a928),f330(f330(f157(f929(x101401),a928),f192(f929(x101401))),x101402)))+~P108(f330(f330(f239(a928),x101404),f330(f192(f929(f929(x101401))),f330(f139(f929(x101401),f330(f330(f8(a928,a923,f929(x101401)),f330(f239(a928),x101403)),f192(f929(x101401)))),x101402)))) % 199.49/199.85 [10161]~P108(f330(f330(f332(f934(a928,a928)),x101614),x101611))+~P108(f330(f330(f332(f934(f934(a928,a928),f934(a928,a928))),f330(f330(f255(f934(a928,a928),f934(a928,a928)),x101614),x101612)),a34))+~P108(f330(f330(f332(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),f330(f330(f255(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),x101611),x101613)),a70))+P108(f330(f330(f332(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),f330(f330(f255(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),x101611),f330(f330(f312(f934(a928,a928)),x101612),x101613))),a70)) % 199.49/199.85 [10162]~P108(f330(f330(f332(f934(a928,a928)),x101624),x101621))+~P108(f330(f330(f332(f934(f934(a928,a928),f934(a928,a928))),f330(f330(f255(f934(a928,a928),f934(a928,a928)),x101624),x101622)),a72))+~P108(f330(f330(f332(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),f330(f330(f255(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),x101621),x101623)),a73))+P108(f330(f330(f332(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),f330(f330(f255(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),x101621),f330(f330(f312(f934(a928,a928)),x101622),x101623))),a73)) % 199.49/199.85 [10051]~P112(x100512)+~P65(x100511)+~P108(f330(f330(f239(f935(x100511,x100512)),x100513),x100514))+P108(f330(f57(x100511),f330(f330(f8(a923,a923,x100511),a325),f330(f330(f18(x100511,x100512,a923),f330(f330(f8(x100512,f935(x100512,a923),x100511),a327),x100513)),x100514)))) % 199.49/199.85 [10174]~P108(f330(f330(f332(f934(a928,a928)),x101744),x101743))+~P108(f330(f330(f332(f934(f934(a928,a928),f934(a928,a928))),f330(f330(f255(f934(a928,a928),f934(a928,a928)),x101741),x101744)),a34))+~P108(f330(f330(f332(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),f330(f330(f255(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),x101742),x101743)),a35))+P108(f330(f330(f332(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),f330(f330(f255(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),f330(f330(f312(f934(a928,a928)),x101741),x101742)),x101743)),a35)) % 199.49/199.85 [10175]~P108(f330(f330(f332(f934(a928,a928)),x101754),x101753))+~P108(f330(f330(f332(f934(f934(a928,a928),f934(a928,a928))),f330(f330(f255(f934(a928,a928),f934(a928,a928)),x101751),x101754)),a72))+~P108(f330(f330(f332(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),f330(f330(f255(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),x101752),x101753)),a71))+P108(f330(f330(f332(f934(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923))),f330(f330(f255(f935(f934(a928,a928),a923),f935(f934(a928,a928),a923)),f330(f330(f312(f934(a928,a928)),x101751),x101752)),x101753)),a71)) % 199.49/199.85 [6302]~P7(x63024,x63021)+~P108(f330(f330(x63021,x63022),x63025))+P108(f330(f330(x63021,x63022),x63023))+~P108(f330(f330(x63021,x63025),x63023)) % 199.49/199.85 [6303]~P52(x63034,x63031)+~P108(f330(f330(x63031,x63032),x63035))+P108(f330(f330(x63031,x63032),x63033))+~P108(f330(f330(x63031,x63035),x63033)) % 199.49/199.85 [6304]~P15(x63044,x63041)+~P108(f330(f330(x63041,x63042),x63045))+P108(f330(f330(x63041,x63042),x63043))+~P108(f330(f330(x63041,x63045),x63043)) % 199.49/199.85 [8985]~P7(x89854,x89853)+~P108(f330(x89851,x89855))+P108(f330(x89852,f844(x89852,x89851,x89853,x89854)))+P108(f330(x89851,f843(x89852,x89851,x89853,x89854))) % 199.49/199.85 [9224]~P7(x92244,x92243)+~P108(f330(x92242,x92245))+~P108(f330(x92241,f843(x92241,x92242,x92243,x92244)))+P108(f330(x92241,f844(x92241,x92242,x92243,x92244))) % 199.49/199.85 [9407]~P7(x94074,x94073)+~P108(f330(x94071,x94075))+P108(f330(f330(f332(x94074),f844(x94072,x94071,x94073,x94074)),f273(x94074,x94073)))+P108(f330(x94071,f843(x94072,x94071,x94073,x94074))) % 199.49/199.85 [9528]~P7(x95281,x95284)+~P108(f330(x95283,x95285))+~P108(f330(x95282,f843(x95282,x95283,x95284,x95281)))+P108(f330(f330(f332(x95281),f844(x95282,x95283,x95284,x95281)),f273(x95281,x95284))) % 199.49/199.85 [9819]~P40(x98191,x98194)+P108(f330(f330(f332(f934(f929(x98191),f929(x98191))),f330(f330(f255(f929(x98191),f929(x98191)),x98192),x98193)),f150(x98191,x98194)))+~P108(f330(f330(f332(f934(f929(x98191),f929(x98191))),f330(f330(f255(f929(x98191),f929(x98191)),x98192),x98195)),f150(x98191,x98194)))+~P108(f330(f330(f332(f934(f929(x98191),f929(x98191))),f330(f330(f255(f929(x98191),f929(x98191)),x98195),x98193)),f150(x98191,x98194))) % 199.49/199.85 [5545]~P3(x55455)+E(x55451,x55452)+~E(x55453,x55454)+~E(f330(f330(f23(x55455),x55453),x55454),f330(f330(f23(x55455),x55451),x55452)) % 199.49/199.85 [6417]~P17(x64175,x64171,x64173)+E(f330(f330(x64171,x64172),f330(x64173,x64174)),f330(x64173,x64174))+~P108(f330(f62(x64175),x64174))+~P108(f330(f330(f332(x64175),x64172),x64174)) % 199.49/199.85 [6606]~P80(x66061)+~E(f330(f330(f23(x66061),x66064),x66065),f330(f330(f23(x66061),x66062),x66063))+~P108(f330(f330(f238(x66061),x66064),x66065))+P108(f330(f330(f238(x66061),x66062),x66063)) % 199.49/199.85 [6608]~P80(x66081)+~E(f330(f330(f23(x66081),x66084),x66085),f330(f330(f23(x66081),x66082),x66083))+~P108(f330(f330(f239(x66081),x66084),x66085))+P108(f330(f330(f239(x66081),x66082),x66083)) % 199.49/199.85 [7582]~E(x75822,f330(f330(f154(x75821),x75824),x75825))+P108(f330(f330(f332(f929(x75821)),x75822),f164(x75821,x75823)))+~P108(f330(f330(f332(f929(x75821)),x75825),f164(x75821,x75823)))+~P108(f330(f330(f332(x75821),x75824),x75823)) % 199.49/199.85 [7983]~E(f330(f192(f929(x79831)),x79833),f330(f192(f929(x79832)),x79834))+~E(f330(f330(f157(f934(x79831,x79832),x79832),f259(x79831,x79832)),x79835),x79834)+~E(f330(f330(f157(f934(x79831,x79832),x79831),f254(x79831,x79832)),x79835),x79833)+E(f330(f330(f184(x79831,x79832),x79833),x79834),x79835) % 199.49/199.85 [8314]~P112(x83141)+P108(f330(f330(f239(f935(x83141,a923)),f306(x83141,x83142,x83143)),f306(x83141,x83144,x83145)))+~P108(f330(f330(f238(x83141),x83144),x83145))+P108(f330(f330(f238(x83141),x83142),x83143)) % 199.49/199.85 [8412]~P112(x84121)+P108(f330(f330(f238(f935(x84121,a923)),f306(x84121,x84122,x84123)),f306(x84121,x84124,x84125)))+~P108(f330(f330(f238(x84121),x84123),x84125))+~P108(f330(f330(f238(x84121),x84124),x84122)) % 199.49/199.85 [8530]~P110(x85301)+P108(f330(f330(f238(x85301),x85302),x85303))+P108(f330(f330(f238(x85301),x85304),x85303))+~P108(f330(f330(f238(f935(x85301,a923)),f330(f305(x85301,x85303),x85302)),f330(f305(x85301,x85304),x85305))) % 199.49/199.85 [8531]~P110(x85311)+P108(f330(f330(f238(x85311),x85312),x85313))+P108(f330(f330(f238(x85311),x85312),x85314))+~P108(f330(f330(f238(f935(x85311,a923)),f330(f305(x85311,x85313),x85312)),f330(f305(x85311,x85315),x85314))) % 199.49/199.85 [8763]~P112(x87631)+~P108(f330(f330(f238(f935(x87631,a923)),f306(x87631,x87634,x87632)),f306(x87631,x87635,x87633)))+P108(f330(f330(f238(x87631),x87632),x87633))+~P108(f330(f330(f238(x87631),x87634),x87632)) % 199.49/199.85 [8764]~P112(x87641)+~P108(f330(f330(f239(f935(x87641,a923)),f306(x87641,x87644,x87642)),f306(x87641,x87645,x87643)))+P108(f330(f330(f238(x87641),x87642),x87643))+~P108(f330(f330(f238(x87641),x87644),x87642)) % 199.49/199.85 [8765]~P112(x87651)+~P108(f330(f330(f238(f935(x87651,a923)),f306(x87651,x87653,x87654)),f306(x87651,x87652,x87655)))+P108(f330(f330(f238(x87651),x87652),x87653))+~P108(f330(f330(f238(x87651),x87653),x87654)) % 199.49/199.85 [8766]~P112(x87661)+~P108(f330(f330(f239(f935(x87661,a923)),f306(x87661,x87663,x87664)),f306(x87661,x87662,x87665)))+P108(f330(f330(f238(x87661),x87662),x87663))+~P108(f330(f330(f238(x87661),x87663),x87664)) % 199.49/199.85 [6301]~P17(x63012,x63015,x63013)+E(x63011,f191(f935(x63012,a923)))+~P108(f330(f62(x63012),x63011))+E(f330(x63013,f330(f330(f312(x63012),x63014),x63011)),f330(f330(x63015,x63014),f330(x63013,x63011))) % 199.49/199.85 [7075]~E(x70751,x70752)+~E(f330(f330(f104(f935(x70753,a923)),x70754),x70755),f191(f935(x70753,a923)))+~P108(f330(f330(f332(x70753),x70752),x70755))+~P108(f330(f330(f332(x70753),x70751),x70754)) % 199.49/199.85 [7156]~P18(x71562,x71565,x71561)+~P108(f330(f62(x71562),x71564))+E(f330(x71561,f330(f330(f312(x71562),x71563),x71564)),f330(f330(f65(x71562,x71562,x71565),x71563),x71564))+P108(f330(f330(f332(x71562),x71563),x71564)) % 199.49/199.85 [7223]~P72(x72232)+~P108(f330(f62(x72231),x72235))+E(f330(f330(f9(x72231,x72232),x72233),f330(f330(f312(x72231),x72234),x72235)),f330(f330(f83(x72232),f330(x72233,x72234)),f330(f330(f9(x72231,x72232),x72233),x72235)))+P108(f330(f330(f332(x72231),x72234),x72235)) % 199.49/199.85 [7225]~P76(x72252)+~P108(f330(f62(x72251),x72255))+E(f330(f330(f6(x72251,x72252),x72253),f330(f330(f312(x72251),x72254),x72255)),f330(f330(f82(x72252),f330(x72253,x72254)),f330(f330(f6(x72251,x72252),x72253),x72255)))+P108(f330(f330(f332(x72251),x72254),x72255)) % 199.49/199.85 [7726]~P18(x77262,x77265,x77261)+~P108(f330(f62(x77262),x77264))+E(f330(x77261,f330(f330(f312(x77262),x77263),x77264)),x77263)+~E(f330(f330(f23(f935(x77262,a923)),x77264),f330(f330(f312(x77262),x77263),f191(f935(x77262,a923)))),f191(f935(x77262,a923))) % 199.49/199.85 [8082]~P63(x80821)+E(f330(f330(f37(x80821),f330(f330(f83(x80821),x80822),x80823)),f330(f330(f83(x80821),x80824),x80825)),f330(f330(f83(x80821),f330(f330(f37(x80821),x80822),x80824)),f330(f330(f37(x80821),x80823),x80825)))+~P108(f330(f330(f290(x80821),x80825),x80823))+~P108(f330(f330(f290(x80821),x80824),x80822)) % 199.49/199.85 [8086]~P85(x80861)+~P108(f330(f330(f238(x80861),x80863),x80865))+~P108(f330(f330(f238(x80861),x80862),x80864))+P108(f330(f330(f238(x80861),f330(f330(f82(x80861),x80862),x80863)),f330(f330(f82(x80861),x80864),x80865))) % 199.49/199.85 [8087]~P110(x80871)+~P108(f330(f330(f238(x80871),x80873),x80875))+~P108(f330(f330(f238(x80871),x80872),x80874))+P108(f330(f330(f238(x80871),f330(f330(f236(x80871),x80872),x80873)),f330(f330(f236(x80871),x80874),x80875))) % 199.49/199.85 [8088]~P110(x80881)+~P108(f330(f330(f238(x80881),x80883),x80885))+~P108(f330(f330(f238(x80881),x80882),x80884))+P108(f330(f330(f238(x80881),f330(f330(f237(x80881),x80882),x80883)),f330(f330(f237(x80881),x80884),x80885))) % 199.49/199.85 [8089]~P104(x80891)+~P108(f330(f330(f238(x80891),x80893),x80895))+~P108(f330(f330(f238(x80891),x80892),x80894))+P108(f330(f330(f238(x80891),f330(f330(f104(x80891),x80892),x80893)),f330(f330(f104(x80891),x80894),x80895))) % 199.49/199.85 [8090]~P105(x80901)+~P108(f330(f330(f238(x80901),x80903),x80905))+~P108(f330(f330(f238(x80901),x80902),x80904))+P108(f330(f330(f238(x80901),f330(f330(f113(x80901),x80902),x80903)),f330(f330(f113(x80901),x80904),x80905))) % 199.49/199.85 [8091]~P87(x80911)+~P108(f330(f330(f238(x80911),x80913),x80915))+~P108(f330(f330(f239(x80911),x80912),x80914))+P108(f330(f330(f239(x80911),f330(f330(f82(x80911),x80912),x80913)),f330(f330(f82(x80911),x80914),x80915))) % 199.49/199.85 [8092]~P87(x80921)+~P108(f330(f330(f238(x80921),x80922),x80924))+~P108(f330(f330(f239(x80921),x80923),x80925))+P108(f330(f330(f239(x80921),f330(f330(f82(x80921),x80922),x80923)),f330(f330(f82(x80921),x80924),x80925))) % 199.49/199.85 [8093]~P87(x80931)+~P108(f330(f330(f239(x80931),x80933),x80935))+~P108(f330(f330(f239(x80931),x80932),x80934))+P108(f330(f330(f239(x80931),f330(f330(f82(x80931),x80932),x80933)),f330(f330(f82(x80931),x80934),x80935))) % 199.49/199.85 [8094]~P114(x80941)+~P108(f330(f330(f290(x80941),x80943),x80945))+~P108(f330(f330(f290(x80941),x80942),x80944))+P108(f330(f330(f290(x80941),f330(f330(f83(x80941),x80942),x80943)),f330(f330(f83(x80941),x80944),x80945))) % 199.49/199.85 [8230]~P130(x82305)+E(x82301,x82302)+E(x82303,x82304)+~E(f330(f330(f82(x82305),f330(f330(f83(x82305),x82303),x82301)),f330(f330(f83(x82305),x82304),x82302)),f330(f330(f82(x82305),f330(f330(f83(x82305),x82303),x82302)),f330(f330(f83(x82305),x82304),x82301))) % 199.49/199.85 [8365]P30(x83651,x83652,x83653)+~P28(x83651,x83654,x83655)+~P30(x83651,x83652,f583(x83655,x83654,x83651,x83652))+~P108(f330(f330(f332(f927(x83651)),x83653),x83655)) % 199.49/199.85 [8432]~P110(x84324)+~P108(f330(f140(x84321),x84323))+P108(f330(f330(f332(x84321),x84322),f330(f175(x84321),x84323)))+P108(f330(f140(x84321),f330(f330(f151(x84321,x84324,x84325),x84322),x84323))) % 199.49/199.85 [8578]~P3(x85781)+E(f330(f330(f23(x85781),f330(f330(f6(a928,x85781),x85782),f330(f305(a928,x85783),x85784))),f330(f330(f6(a928,x85781),x85782),f330(f305(a928,x85783),x85785))),f330(f330(f6(a928,x85781),x85782),f330(f305(a928,x85785),x85784)))+~P108(f330(f330(f238(a928),x85785),x85784))+~P108(f330(f330(f238(a928),x85783),x85785)) % 199.49/199.85 [8579]~P76(x85791)+E(f330(f330(f82(x85791),f330(f330(f6(a928,x85791),x85792),f330(f305(a928,x85793),x85794))),f330(f330(f6(a928,x85791),x85792),f330(f305(a928,x85794),x85795))),f330(f330(f6(a928,x85791),x85792),f330(f305(a928,x85793),x85795)))+~P108(f330(f330(f238(a928),x85794),x85795))+~P108(f330(f330(f238(a928),x85793),x85794)) % 199.49/199.85 [8906]~P67(x89062)+E(x89061,f2(x89062))+E(x89063,f2(x89062))+E(f330(f330(f294(x89062),f330(f330(f23(x89062),f330(f330(f83(x89062),x89064),x89061)),f330(f330(f83(x89062),x89065),x89063))),f330(f330(f83(x89062),x89063),x89061)),f330(f330(f23(x89062),f330(f330(f294(x89062),x89064),x89063)),f330(f330(f294(x89062),x89065),x89061))) % 199.49/199.85 [8907]~P67(x89072)+E(x89071,f2(x89072))+E(x89073,f2(x89072))+E(f330(f330(f294(x89072),f330(f330(f82(x89072),f330(f330(f83(x89072),x89074),x89071)),f330(f330(f83(x89072),x89075),x89073))),f330(f330(f83(x89072),x89073),x89071)),f330(f330(f82(x89072),f330(f330(f294(x89072),x89074),x89073)),f330(f330(f294(x89072),x89075),x89071))) % 199.49/199.85 [8916]~E(x89162,f330(x89163,x89161))+E(x89161,f495(x89162,x89163,x89164,x89165))+~P25(x89165,x89164,x89163,f245(f935(x89165,a923)))+~P108(f330(f330(f332(x89164),x89162),f330(f313(x89165,x89164,x89163),f245(f935(x89165,a923))))) % 199.49/199.85 [9133]~P121(x91331)+~P108(f330(f330(f239(x91331),f330(f77(x91331),x91332)),x91334))+P108(f330(f330(f239(x91331),f330(f330(f83(x91331),f330(f77(x91331),x91332)),f330(f77(x91331),x91333))),f330(f330(f83(x91331),x91334),x91335)))+~P108(f330(f330(f239(x91331),f330(f77(x91331),x91333)),x91335)) % 199.49/199.85 [9151]~P28(x91511,x91515,x91514)+P30(x91511,x91512,x91513)+P108(f330(f330(f332(f927(x91511)),f583(x91514,x91515,x91511,x91512)),x91515))+~P108(f330(f330(f332(f927(x91511)),x91513),x91514)) % 199.49/199.85 [9249]~P25(x92491,x92493,x92495,x92492)+~P108(f330(f62(x92493),x92494))+P108(f330(f330(f238(a928),f330(f36(x92491),x92492)),f330(f36(x92493),x92494)))+~P108(f330(f330(f238(f935(x92493,a923)),f330(f313(x92491,x92493,x92495),x92492)),x92494)) % 199.49/199.85 [9316]~P72(x93162)+~P25(x93161,x93161,x93164,x93165)+~P108(f330(f62(x93161),x93165))+E(f330(f330(f9(x93161,x93162),f330(f74(x93161,x93162,x93161,x93163),x93164)),x93165),f330(f330(f9(x93161,x93162),x93163),f330(f313(x93161,x93161,x93164),x93165))) % 199.49/199.85 [9317]~P76(x93172)+~P25(x93171,x93171,x93174,x93175)+~P108(f330(f62(x93171),x93175))+E(f330(f330(f6(x93171,x93172),f330(f74(x93171,x93172,x93171,x93173),x93174)),x93175),f330(f330(f6(x93171,x93172),x93173),f330(f313(x93171,x93171,x93174),x93175))) % 199.49/199.85 [9435]~P39(x94351,x94352)+~P108(f330(f330(f332(x94351),x94353),x94354))+~P108(f330(f330(f332(x94351),x94355),x94354))+~P108(f330(f330(f332(f934(x94351,x94351)),f330(f330(f255(x94351,x94351),x94355),f623(x94352,x94351,x94354))),x94352)) % 199.49/199.85 [9471]~P25(x94712,x94713,x94715,x94711)+E(x94711,f191(f935(x94712,a923)))+E(f330(f313(x94713,x94712,f482(x94714,x94713,x94712,x94711)),x94714),x94711)+~P108(f330(f330(f238(f935(x94713,a923)),f330(f313(x94712,x94713,x94715),x94711)),x94714)) % 199.49/199.85 [9954]~P110(x99545)+~P5(x99545)+P108(f330(f330(f332(x99541),f903(x99542,x99543,x99541,x99544,x99545)),x99543))+~P108(f330(f330(f239(x99545),x99544),f330(f330(f40(x99541,x99545),x99543),x99542))) % 199.49/199.85 [9959]~P110(x99591)+~P5(x99591)+P108(f330(f330(f239(x99591),x99592),f330(x99593,f903(x99593,x99594,x99595,x99592,x99591))))+~P108(f330(f330(f239(x99591),x99592),f330(f330(f40(x99595,x99591),x99594),x99593))) % 199.49/199.85 [10038]~P70(x100381)+~P108(f330(f67(x100381,x100381,f83(x100381),x100382,x100383),x100385))+P108(f330(f330(f332(x100381),x100382),x100383))+P108(f330(f67(x100381,x100381,f83(x100381),x100384,f330(f330(f312(x100381),x100382),x100383)),f330(f330(f83(x100381),x100384),x100385))) % 199.49/199.85 [10244]~P72(x102442)+~P108(f330(f62(x102441),x102445))+E(f330(f330(f9(x102441,x102442),f330(f330(f7(x102441,x102442,x102442),f330(f330(f18(x102441,x102442,f935(x102442,x102442)),f330(f330(f8(a923,f935(x102442,f935(x102442,x102442)),x102441),f99(x102442)),f330(a327,x102443))),x102444)),f80(x102442))),x102445),f80(x102442))+P108(f330(f330(f332(x102441),x102443),x102445)) % 199.49/199.85 [10245]~P76(x102452)+~P108(f330(f62(x102451),x102455))+E(f330(f330(f6(x102451,x102452),f330(f330(f7(x102451,x102452,x102452),f330(f330(f18(x102451,x102452,f935(x102452,x102452)),f330(f330(f8(a923,f935(x102452,f935(x102452,x102452)),x102451),f99(x102452)),f330(a327,x102453))),x102454)),f2(x102452))),x102455),f2(x102452))+P108(f330(f330(f332(x102451),x102453),x102455)) % 199.49/199.85 [10246]~P72(x102462)+~P108(f330(f62(x102461),x102465))+E(f330(f330(f9(x102461,x102462),f330(f330(f7(x102461,x102462,x102462),f330(f330(f18(x102461,x102462,f935(x102462,x102462)),f330(f330(f8(a923,f935(x102462,f935(x102462,x102462)),x102461),f99(x102462)),f330(a327,x102463))),x102464)),f80(x102462))),x102465),f330(x102464,x102463))+~P108(f330(f330(f332(x102461),x102463),x102465)) % 199.49/199.85 [10247]~P76(x102472)+~P108(f330(f62(x102471),x102475))+E(f330(f330(f6(x102471,x102472),f330(f330(f7(x102471,x102472,x102472),f330(f330(f18(x102471,x102472,f935(x102472,x102472)),f330(f330(f8(a923,f935(x102472,f935(x102472,x102472)),x102471),f99(x102472)),f330(a327,x102473))),x102474)),f2(x102472))),x102475),f330(x102474,x102473))+~P108(f330(f330(f332(x102471),x102473),x102475)) % 199.49/199.85 [10301]~P72(x103012)+~P108(f330(f62(x103011),x103015))+E(f330(f330(f9(x103011,x103012),f330(f330(f7(x103011,x103012,x103012),f330(f330(f18(x103011,x103012,f935(x103012,x103012)),f330(f330(f8(a923,f935(x103012,f935(x103012,x103012)),x103011),f99(x103012)),f330(f330(f7(x103011,x103011,a923),a327),x103013))),x103014)),f80(x103012))),x103015),f80(x103012))+P108(f330(f330(f332(x103011),x103013),x103015)) % 199.49/199.85 [10302]~P76(x103022)+~P108(f330(f62(x103021),x103025))+E(f330(f330(f6(x103021,x103022),f330(f330(f7(x103021,x103022,x103022),f330(f330(f18(x103021,x103022,f935(x103022,x103022)),f330(f330(f8(a923,f935(x103022,f935(x103022,x103022)),x103021),f99(x103022)),f330(f330(f7(x103021,x103021,a923),a327),x103023))),x103024)),f2(x103022))),x103025),f2(x103022))+P108(f330(f330(f332(x103021),x103023),x103025)) % 199.49/199.85 [10304]~P72(x103042)+~P108(f330(f62(x103041),x103045))+E(f330(f330(f9(x103041,x103042),f330(f330(f7(x103041,x103042,x103042),f330(f330(f18(x103041,x103042,f935(x103042,x103042)),f330(f330(f8(a923,f935(x103042,f935(x103042,x103042)),x103041),f99(x103042)),f330(f330(f7(x103041,x103041,a923),a327),x103043))),x103044)),f80(x103042))),x103045),f330(x103044,x103043))+~P108(f330(f330(f332(x103041),x103043),x103045)) % 199.49/199.85 [10305]~P76(x103052)+~P108(f330(f62(x103051),x103055))+E(f330(f330(f6(x103051,x103052),f330(f330(f7(x103051,x103052,x103052),f330(f330(f18(x103051,x103052,f935(x103052,x103052)),f330(f330(f8(a923,f935(x103052,f935(x103052,x103052)),x103051),f99(x103052)),f330(f330(f7(x103051,x103051,a923),a327),x103053))),x103054)),f2(x103052))),x103055),f330(x103054,x103053))+~P108(f330(f330(f332(x103051),x103053),x103055)) % 199.49/199.85 [8085]~P3(x80852)+~P108(f330(f62(x80851),x80854))+E(f330(f330(f6(x80851,x80852),x80853),f330(f330(f23(f935(x80851,a923)),x80854),f330(f330(f312(x80851),x80855),f191(f935(x80851,a923))))),f330(f330(f6(x80851,x80852),x80853),x80854))+P108(f330(f330(f332(x80851),x80855),x80854)) % 199.49/199.85 [8586]~P132(x85862)+~P108(f330(f62(x85861),x85864))+E(f330(f330(f6(x85861,x85862),x85863),f330(f330(f23(f935(x85861,a923)),x85864),f330(f330(f312(x85861),x85865),f191(f935(x85861,a923))))),f330(f330(f23(x85862),f330(f330(f6(x85861,x85862),x85863),x85864)),f330(x85863,x85865)))+~P108(f330(f330(f332(x85861),x85865),x85864)) % 199.49/199.85 [8587]~P3(x85872)+~P108(f330(f62(x85871),x85874))+E(f330(f330(f6(x85871,x85872),x85873),f330(f330(f23(f935(x85871,a923)),x85874),f330(f330(f312(x85871),x85875),f191(f935(x85871,a923))))),f330(f330(f23(x85872),f330(f330(f6(x85871,x85872),x85873),x85874)),f330(x85873,x85875)))+~P108(f330(f330(f332(x85871),x85875),x85874)) % 199.49/199.85 [8616]~P3(x86161)+~P108(f330(f62(x86162),x86164))+E(f330(f330(f23(x86161),f330(f330(f6(x86162,x86161),x86163),x86164)),f330(f330(f6(x86162,x86161),x86163),x86165)),f330(f330(f6(x86162,x86161),x86163),f330(f330(f23(f935(x86162,a923)),x86164),x86165)))+~P108(f330(f330(f238(f935(x86162,a923)),x86165),x86164)) % 199.49/199.85 [8635]P108(f330(f62(x86351),f330(x86352,x86353)))+~P108(f330(f62(x86354),x86355))+~P108(f330(f330(f332(x86354),x86353),x86355))+~P108(f330(f62(x86351),f330(f330(f40(x86354,f935(x86351,a923)),x86355),x86352))) % 199.49/199.85 [9089]~P8(x90891,x90895,x90894)+~E(f330(f288(x90891,x90891,x90894),f330(f330(f312(x90891),x90892),f191(f935(x90891,a923)))),f330(f288(x90891,x90891,x90894),f330(f330(f312(x90891),x90893),f191(f935(x90891,a923)))))+~P108(f330(f330(f332(x90891),x90893),x90895))+P108(f330(f330(f332(f934(x90891,x90891)),f330(f330(f255(x90891,x90891),x90892),x90893)),x90894)) % 199.49/199.85 [9392]~P108(f330(x93921,x93925))+P108(f330(x93921,f413(x93921,x93922,x93923,x93924)))+P108(f330(x93921,f410(x93921,x93922,x93923,x93924)))+~P108(f330(f330(f332(x93924),x93925),f330(f330(f113(f935(x93924,a923)),x93923),x93922))) % 199.49/199.85 [9575]~P108(f330(x95751,x95755))+P108(f330(x95751,f410(x95751,x95752,x95753,x95754)))+P108(f330(f330(f332(x95754),f413(x95751,x95752,x95753,x95754)),x95752))+~P108(f330(f330(f332(x95754),x95755),f330(f330(f113(f935(x95754,a923)),x95753),x95752))) % 199.49/199.85 [9576]~P108(f330(x95761,x95765))+P108(f330(x95761,f413(x95761,x95762,x95763,x95764)))+P108(f330(f330(f332(x95764),f410(x95761,x95762,x95763,x95764)),x95763))+~P108(f330(f330(f332(x95764),x95765),f330(f330(f113(f935(x95764,a923)),x95763),x95762))) % 199.49/199.85 [9580]P108(f330(x95801,x95802))+~P108(f330(x95801,f412(x95801,x95803,x95804,x95805)))+~P108(f330(x95801,f411(x95801,x95803,x95804,x95805)))+~P108(f330(f330(f332(x95805),x95802),f330(f330(f113(f935(x95805,a923)),x95804),x95803))) % 199.49/199.85 [9585]~P40(x95851,x95854)+~P108(f330(f330(f332(f934(x95851,x95851)),f330(f330(f255(x95851,x95851),x95852),x95855)),x95854))+P108(f330(f330(f332(f934(x95851,x95851)),f330(f330(f255(x95851,x95851),x95852),x95853)),x95854))+~P108(f330(f330(f332(f934(x95851,x95851)),f330(f330(f255(x95851,x95851),x95855),x95853)),x95854)) % 199.49/199.85 [9624]E(x96241,x96242)+~P108(f330(f330(f332(f934(x96243,x96243)),f330(f330(f255(x96243,x96243),x96241),x96242)),f310(x96243,x96245)))+P108(f330(f330(f332(x96243),x96241),x96244))+~P108(f330(f330(f238(f935(f934(x96243,x96243),a923)),x96245),f330(f330(f257(x96243,x96243),x96244),f330(f16(f935(x96243,a923),x96243),x96244)))) % 199.49/199.85 [9642]P108(f330(x96421,x96422))+~P108(f330(x96421,f411(x96421,x96424,x96425,x96423)))+P108(f330(f330(f332(x96423),f412(x96421,x96424,x96425,x96423)),x96424))+~P108(f330(f330(f332(x96423),x96422),f330(f330(f113(f935(x96423,a923)),x96425),x96424))) % 199.49/199.85 [9643]P108(f330(x96431,x96432))+~P108(f330(x96431,f412(x96431,x96434,x96435,x96433)))+P108(f330(f330(f332(x96433),f411(x96431,x96434,x96435,x96433)),x96435))+~P108(f330(f330(f332(x96433),x96432),f330(f330(f113(f935(x96433,a923)),x96435),x96434))) % 199.49/199.85 [9710]P108(f330(x97101,x97102))+P108(f330(f330(f332(x97103),f412(x97101,x97104,x97105,x97103)),x97104))+P108(f330(f330(f332(x97103),f411(x97101,x97104,x97105,x97103)),x97105))+~P108(f330(f330(f332(x97103),x97102),f330(f330(f113(f935(x97103,a923)),x97105),x97104))) % 199.49/199.85 [9712]~P108(f330(x97122,x97125))+P108(f330(f330(f332(x97121),f413(x97122,x97123,x97124,x97121)),x97123))+P108(f330(f330(f332(x97121),f410(x97122,x97123,x97124,x97121)),x97124))+~P108(f330(f330(f332(x97121),x97125),f330(f330(f113(f935(x97121,a923)),x97124),x97123))) % 199.49/199.85 [9861]~P8(x98611,x98615,x98614)+~P108(f330(f330(f332(x98611),x98613),x98615))+P108(f330(f330(f332(f934(x98611,x98611)),f330(f330(f255(x98611,x98611),x98612),x98613)),x98614))+~P108(f330(f330(f238(f935(x98611,a923)),f330(f288(x98611,x98611,x98614),f330(f330(f312(x98611),x98613),f191(f935(x98611,a923))))),f330(f288(x98611,x98611,x98614),f330(f330(f312(x98611),x98612),f191(f935(x98611,a923)))))) % 199.49/199.85 [9989]~P110(x99895)+~P5(x99895)+P108(f330(f330(f332(x99891),f512(x99892,x99893,x99894,x99891,x99895)),x99894))+~P108(f330(f330(f239(x99895),f330(f330(f41(x99891,x99895),x99894),x99893)),x99892)) % 199.49/199.85 [10021]~P85(x100215)+~P82(x100215)+P108(f330(f330(f332(x100211),f705(x100212,x100213,x100214,x100211,x100215)),f330(f175(x100211),x100214)))+P108(f330(f330(f238(x100215),f330(f168(x100215),f330(f330(f157(x100211,x100215),x100213),x100214))),f330(f168(x100215),f330(f330(f157(x100211,x100215),x100212),x100214)))) % 199.49/199.85 [10130]~P110(x101301)+~P5(x101301)+P108(f330(f330(f239(x101301),f330(x101302,f512(x101303,x101302,x101304,x101305,x101301))),x101303))+~P108(f330(f330(f239(x101301),f330(f330(f41(x101305,x101301),x101304),x101302)),x101303)) % 199.49/199.85 [10262]~P85(x102621)+~P82(x102621)+~P108(f330(f330(f238(x102621),f330(x102623,f705(x102625,x102623,x102624,x102622,x102621))),f330(x102625,f705(x102625,x102623,x102624,x102622,x102621))))+P108(f330(f330(f238(x102621),f330(f168(x102621),f330(f330(f157(x102622,x102621),x102623),x102624))),f330(f168(x102621),f330(f330(f157(x102622,x102621),x102625),x102624)))) % 199.49/199.85 [8928]~P72(x89281)+~P108(f330(f62(x89284),x89285))+~P108(f330(f330(f332(x89284),x89283),x89285))+E(f330(f330(f83(x89281),f330(x89282,x89283)),f330(f330(f9(x89284,x89281),x89282),f330(f330(f23(f935(x89284,a923)),x89285),f330(f330(f312(x89284),x89283),f191(f935(x89284,a923)))))),f330(f330(f9(x89284,x89281),x89282),x89285)) % 199.49/199.85 [8930]~P76(x89301)+~P108(f330(f62(x89304),x89305))+~P108(f330(f330(f332(x89304),x89303),x89305))+E(f330(f330(f82(x89301),f330(x89302,x89303)),f330(f330(f6(x89304,x89301),x89302),f330(f330(f23(f935(x89304,a923)),x89305),f330(f330(f312(x89304),x89303),f191(f935(x89304,a923)))))),f330(f330(f6(x89304,x89301),x89302),x89305)) % 199.49/199.85 [8990]~P18(x89901,x89904,x89905)+~P108(f330(f62(x89901),x89902))+E(f330(f330(f23(f935(x89901,a923)),x89902),f330(f330(f312(x89901),x89903),f191(f935(x89901,a923)))),f191(f935(x89901,a923)))+E(f330(f330(x89904,x89903),f330(x89905,f330(f330(f23(f935(x89901,a923)),x89902),f330(f330(f312(x89901),x89903),f191(f935(x89901,a923)))))),f330(x89905,f330(f330(f312(x89901),x89903),x89902))) % 199.49/199.85 [9371]~P72(x93711)+~P108(f330(f62(x93712),x93715))+~P108(f330(f62(x93712),x93714))+E(f330(f330(f83(x93711),f330(f330(f9(x93712,x93711),x93713),f330(f330(f113(f935(x93712,a923)),x93714),x93715))),f330(f330(f9(x93712,x93711),x93713),f330(f330(f104(f935(x93712,a923)),x93714),x93715))),f330(f330(f83(x93711),f330(f330(f9(x93712,x93711),x93713),x93714)),f330(f330(f9(x93712,x93711),x93713),x93715))) % 199.49/199.85 [9372]~P76(x93721)+~P108(f330(f62(x93722),x93725))+~P108(f330(f62(x93722),x93724))+E(f330(f330(f82(x93721),f330(f330(f6(x93722,x93721),x93723),f330(f330(f113(f935(x93722,a923)),x93724),x93725))),f330(f330(f6(x93722,x93721),x93723),f330(f330(f104(f935(x93722,a923)),x93724),x93725))),f330(f330(f82(x93721),f330(f330(f6(x93722,x93721),x93723),x93724)),f330(f330(f6(x93722,x93721),x93723),x93725))) % 199.49/199.85 [9510]~P3(x95101)+~P108(f330(f62(x95102),x95105))+~P108(f330(f62(x95102),x95104))+E(f330(f330(f23(x95101),f330(f330(f82(x95101),f330(f330(f6(x95102,x95101),x95103),x95104)),f330(f330(f6(x95102,x95101),x95103),x95105))),f330(f330(f6(x95102,x95101),x95103),f330(f330(f104(f935(x95102,a923)),x95104),x95105))),f330(f330(f6(x95102,x95101),x95103),f330(f330(f113(f935(x95102,a923)),x95104),x95105))) % 199.49/199.85 [9722]~P25(x97221,x97222,x97223,x97225)+~P25(x97221,x97222,x97223,x97224)+P25(x97221,x97222,x97223,f330(f330(f113(f935(x97221,a923)),x97224),x97225))+~E(f330(f330(f104(f935(x97222,a923)),f330(f313(x97221,x97222,x97223),f330(f330(f23(f935(x97221,a923)),x97224),x97225))),f330(f313(x97221,x97222,x97223),f330(f330(f23(f935(x97221,a923)),x97225),x97224))),f191(f935(x97222,a923))) % 199.49/199.85 [9836]E(x98361,f2(a1))+~P108(f330(f330(f239(a1),f2(a1)),x98363))+~P108(f330(f50(x98362,x98361),f330(f330(f255(a1,a1),x98364),x98365)))+P108(f330(f50(x98362,f330(f330(f83(a1),x98361),x98363)),f330(f330(f255(a1,a1),f330(f330(f37(a1),x98364),x98363)),f330(f330(f82(a1),f330(f330(f83(a1),x98361),f46(a1,x98364,x98363))),x98365)))) % 199.49/199.85 [9844]~P108(f330(f330(f239(a928),f2(a928)),x98443))+~P108(f330(f330(f239(a928),f2(a928)),x98442))+~P108(f330(f49(x98441,x98442),f330(f330(f255(a928,a928),x98444),x98445)))+P108(f330(f49(x98441,f330(f330(f83(a928),x98442),x98443)),f330(f330(f255(a928,a928),f330(f330(f37(a928),x98444),x98443)),f330(f330(f82(a928),f330(f330(f83(a928),x98442),f46(a928,x98444,x98443))),x98445)))) % 199.49/199.85 [9893]~P72(x98931)+~P108(f330(f62(x98932),x98935))+~P108(f330(f62(x98932),x98934))+E(f330(f330(f83(x98931),f330(f330(f330(f66(x98931,x98932,f83(x98931)),x98933),f80(x98931)),f330(f330(f113(f935(x98932,a923)),x98934),x98935))),f330(f330(f330(f66(x98931,x98932,f83(x98931)),x98933),f80(x98931)),f330(f330(f104(f935(x98932,a923)),x98934),x98935))),f330(f330(f83(x98931),f330(f330(f330(f66(x98931,x98932,f83(x98931)),x98933),f80(x98931)),x98934)),f330(f330(f330(f66(x98931,x98932,f83(x98931)),x98933),f80(x98931)),x98935))) % 199.49/199.85 [9895]~E(f330(f330(f178(x98951),x98955),x98952),f330(f330(f178(x98951),x98955),x98953))+P108(f330(f330(f332(f934(f929(x98951),f929(x98951))),f330(f330(f255(f929(x98951),f929(x98951)),x98952),x98953)),f150(x98951,x98954)))+~P108(f330(f330(f239(a928),x98955),f330(f330(f236(a928),f330(f192(f929(x98951)),x98952)),f330(f192(f929(x98951)),x98953))))+~P108(f330(f330(f332(f934(x98951,x98951)),f330(f330(f255(x98951,x98951),f330(f330(f167(x98951),x98952),x98955)),f330(f330(f167(x98951),x98953),x98955))),x98954)) % 199.49/199.85 [10010]~P85(x100105)+~P148(x100105)+P108(f330(f330(f332(x100101),f484(x100102,x100103,x100104,x100101,x100105)),x100104))+P108(f330(f330(f238(x100105),f330(f330(f6(x100101,x100105),x100103),x100104)),f330(f330(f83(x100105),f330(f103(x100105),f330(f36(x100101),x100104))),x100102))) % 199.49/199.85 [10189]~P85(x101891)+~P148(x101891)+~P108(f330(f330(f238(x101891),f330(x101893,f484(x101895,x101893,x101894,x101892,x101891))),x101895))+P108(f330(f330(f238(x101891),f330(f330(f6(x101892,x101891),x101893),x101894)),f330(f330(f83(x101891),f330(f103(x101891),f330(f36(x101892),x101894))),x101895))) % 199.49/199.85 [8958]E(f330(f330(f137(x89581),x89582),x89583),f330(f330(f137(x89581),x89584),x89585))+~E(f330(f330(f178(x89581),f330(f192(f929(x89581)),x89582)),x89584),x89582)+~E(f330(f330(f137(x89581),f330(f330(f141(x89581),f330(f192(f929(x89581)),x89582)),x89584)),x89585),x89583)+P108(f330(f330(f238(a928),f330(f192(f929(x89581)),x89584)),f330(f192(f929(x89581)),x89582))) % 199.49/199.85 [9088]E(f330(f330(f137(x90881),x90882),x90883),f330(f330(f137(x90881),x90884),x90885))+~E(f330(f330(f178(x90881),f330(f192(f929(x90881)),x90882)),x90884),x90882)+~E(x90883,f330(f330(f137(x90881),f330(f330(f141(x90881),f330(f192(f929(x90881)),x90882)),x90884)),x90885))+~P108(f330(f330(f238(a928),f330(f192(f929(x90881)),x90882)),f330(f192(f929(x90881)),x90884))) % 199.49/199.85 [10324]~P108(f330(x103245,x103244))+~P108(f330(f62(x103242),f330(f265(x103242),x103245)))+P108(f330(f62(x103241),f330(f265(x103241),f330(f330(f7(x103241,x103242,a923),x103243),x103244))))+~P108(f330(f62(x103241),f330(f265(x103241),f330(f330(f8(f935(x103242,a923),a923,x103241),f89(x103242)),f330(f330(f8(f935(x103242,a923),f935(x103242,a923),x103241),f330(f18(x103242,a923,a923),f330(f330(f8(a923,f935(a923,a923),x103242),a328),x103245))),x103243))))) % 199.49/199.85 [10397]~P108(f330(f62(x103972),x103975))+~P108(f330(f330(f332(x103972),x103974),x103975))+P108(f330(f62(x103971),f330(f265(x103971),f330(f330(f7(x103971,x103972,a923),x103973),x103974))))+~P108(f330(f62(x103971),f330(f265(x103971),f330(f330(f8(f935(x103972,a923),a923,x103971),f89(x103972)),f330(f330(f8(f935(x103972,a923),f935(x103972,a923),x103971),f330(f18(x103972,a923,a923),f330(f330(f8(a923,f935(a923,a923),x103972),a328),f330(f330(f7(x103972,f935(x103972,a923),a923),f332(x103972)),x103975)))),x103973))))) % 199.49/199.85 [8745]~P19(x87455,x87451,x87456,x87452)+E(f330(f74(x87451,x87451,x87451,f330(x87452,x87453)),f330(x87452,x87454)),f330(f74(x87451,x87451,x87451,f330(x87452,x87454)),f330(x87452,x87453)))+~P108(f330(f62(x87455),x87454))+~P108(f330(f62(x87455),x87453)) % 199.49/199.85 [8141]~P25(x81411,x81412,x81414,x81413)+~E(f330(x81414,x81416),x81415)+E(f330(f79(x81411,x81412,x81413,x81414),x81415),x81416)+~P108(f330(f330(f332(x81411),x81416),x81413)) % 199.49/199.85 [8142]~P25(x81421,x81422,x81424,x81423)+~E(f330(x81424,x81426),x81425)+E(f330(f94(x81421,x81422,x81423,x81424),x81425),x81426)+~P108(f330(f330(f332(x81421),x81426),x81423)) % 199.49/199.85 [8335]~P20(x83356,x83351,x83354,x83352)+E(f330(f74(x83351,x83351,x83351,f330(x83352,x83353)),f330(x83354,x83355)),f330(x83352,x83353))+~P108(f330(f62(x83356),x83353))+~P108(f330(f330(f332(x83356),x83355),x83353)) % 199.49/199.85 [9463]E(x94631,x94632)+~E(f330(f94(x94633,x94634,x94635,x94636),x94631),f330(f94(x94633,x94634,x94635,x94636),x94632))+~P108(f330(f330(f332(x94634),x94632),f330(f313(x94633,x94634,x94636),x94635)))+~P108(f330(f330(f332(x94634),x94631),f330(f313(x94633,x94634,x94636),x94635))) % 199.49/199.85 [9559]~P19(x95593,x95591,x95596,x95592)+E(f330(f74(x95591,x95591,x95591,f330(x95592,f330(f330(f23(f935(x95593,a923)),x95594),f330(f330(f312(x95593),x95595),f191(f935(x95593,a923)))))),f330(x95596,x95595)),f330(x95592,x95594))+~P108(f330(f62(x95593),x95594))+~P108(f330(f330(f332(x95593),x95595),x95594)) % 199.49/199.85 [7228]~P64(x72281)+~E(f46(x72281,x72283,x72284),f46(x72281,x72286,x72284))+~E(f46(x72281,x72282,x72284),f46(x72281,x72285,x72284))+E(f46(x72281,f330(f330(f23(x72281),x72282),x72283),x72284),f46(x72281,f330(f330(f23(x72281),x72285),x72286),x72284)) % 199.49/199.85 [7229]~P63(x72291)+~E(f46(x72291,x72293,x72294),f46(x72291,x72296,x72294))+~E(f46(x72291,x72292,x72294),f46(x72291,x72295,x72294))+E(f46(x72291,f330(f330(f83(x72291),x72292),x72293),x72294),f46(x72291,f330(f330(f83(x72291),x72295),x72296),x72294)) % 199.49/199.85 [7230]~P63(x72301)+~E(f46(x72301,x72303,x72304),f46(x72301,x72306,x72304))+~E(f46(x72301,x72302,x72304),f46(x72301,x72305,x72304))+E(f46(x72301,f330(f330(f82(x72301),x72302),x72303),x72304),f46(x72301,f330(f330(f82(x72301),x72305),x72306),x72304)) % 199.49/199.85 [8037]~P16(x80371,x80372,x80373)+~P108(f330(f62(x80371),x80376))+E(f330(f330(f65(x80371,x80372,x80373),x80374),f330(f330(f312(x80371),x80375),x80376)),f330(f330(f65(x80371,x80372,x80373),f330(f330(x80373,x80375),x80374)),x80376))+P108(f330(f330(f332(x80371),x80375),x80376)) % 199.49/199.85 [8100]~P5(x81001)+P108(f330(f330(f238(x81001),x81002),f330(x81003,x81004)))+~P108(f330(f330(f332(x81005),x81004),x81006))+~P108(f330(f330(f238(x81001),x81002),f330(f330(f41(x81005,x81001),x81006),x81003))) % 199.49/199.85 [8257]~P16(x82571,x82572,x82573)+~P108(f330(f62(x82571),x82576))+E(f330(f330(f65(x82571,x82572,x82573),x82574),f330(f330(f312(x82571),x82575),x82576)),f330(f330(x82573,x82575),f330(f330(f65(x82571,x82572,x82573),x82574),x82576)))+P108(f330(f330(f332(x82571),x82575),x82576)) % 199.49/199.85 [8352]~P110(x83523)+~P108(f330(x83522,x83525))+~P13(x83523,f330(f330(f157(x83521,x83523),x83524),x83526))+E(f330(f139(x83521,x83522),f330(f330(f151(x83521,x83523,x83524),x83525),x83526)),f330(f330(f151(x83521,x83523,x83524),x83525),f330(f139(x83521,x83522),x83526))) % 199.49/199.85 [8376]E(x83761,x83762)+E(x83763,f2(a1))+~P108(f330(f50(x83764,x83763),f330(f330(f255(a1,a1),x83765),x83762)))+~P108(f330(f50(x83764,x83763),f330(f330(f255(a1,a1),x83766),x83761))) % 199.49/199.85 [8377]E(x83771,x83772)+E(x83773,f2(a1))+~P108(f330(f50(x83774,x83773),f330(f330(f255(a1,a1),x83772),x83775)))+~P108(f330(f50(x83774,x83773),f330(f330(f255(a1,a1),x83771),x83776))) % 199.49/199.85 [8398]~P19(x83982,x83985,x83986,x83981)+~P108(f330(f62(x83982),x83984))+E(f330(x83981,f330(f330(f312(x83982),x83983),x83984)),f330(f74(x83985,x83985,x83985,f330(x83981,x83984)),f330(x83986,x83983)))+P108(f330(f330(f332(x83982),x83983),x83984)) % 199.49/199.85 [8619]~P20(x86195,x86191,x86196,x86192)+E(f330(f74(x86191,x86191,x86191,f330(x86192,x86193)),f330(x86192,x86194)),f330(x86192,x86193))+~P108(f330(f62(x86195),x86193))+~P108(f330(f330(f238(f935(x86195,a923)),x86194),x86193)) % 199.49/199.85 [9766]~P25(x97661,x97662,x97664,x97663)+~P108(f330(f330(f332(x97662),x97665),f330(f313(x97661,x97662,x97664),x97663)))+P108(f330(f330(f332(x97661),f330(f79(x97661,x97662,x97663,x97664),x97665)),x97666))+~P108(f330(f330(f238(f935(x97661,a923)),x97663),x97666)) % 199.49/199.85 [10141]~P76(x101412)+~E(f489(x101411,x101413,x101415,x101416,x101414,x101412),f490(x101411,x101413,x101415,x101416,x101414,x101412))+~P108(f330(f62(x101414),x101416))+E(f330(f330(f6(x101411,x101412),x101413),f330(f313(x101414,x101411,x101415),x101416)),f330(f330(f6(x101414,x101412),f330(f74(x101411,x101412,x101414,x101413),x101415)),x101416)) % 199.49/199.85 [10170]~P76(x101706)+E(f330(x101701,f489(x101702,x101703,x101701,x101704,x101705,x101706)),f330(x101701,f490(x101702,x101703,x101701,x101704,x101705,x101706)))+E(f330(f330(f6(x101702,x101706),x101703),f330(f313(x101705,x101702,x101701),x101704)),f330(f330(f6(x101705,x101706),f330(f74(x101702,x101706,x101705,x101703),x101701)),x101704))+~P108(f330(f62(x101705),x101704)) % 199.49/199.85 [10212]~P76(x102122)+~E(f330(x102123,f330(x102125,f490(x102121,x102123,x102125,x102126,x102124,x102122))),f2(x102122))+~P108(f330(f62(x102124),x102126))+E(f330(f330(f6(x102121,x102122),x102123),f330(f313(x102124,x102121,x102125),x102126)),f330(f330(f6(x102124,x102122),f330(f74(x102121,x102122,x102124,x102123),x102125)),x102126)) % 199.49/199.85 [10270]~P76(x102702)+~P108(f330(f62(x102704),x102706))+E(f330(f330(f6(x102701,x102702),x102703),f330(f313(x102704,x102701,x102705),x102706)),f330(f330(f6(x102704,x102702),f330(f74(x102701,x102702,x102704,x102703),x102705)),x102706))+P108(f330(f330(f332(x102704),f490(x102701,x102703,x102705,x102706,x102704,x102702)),x102706)) % 199.49/199.85 [10271]~P76(x102712)+~P108(f330(f62(x102714),x102716))+E(f330(f330(f6(x102711,x102712),x102713),f330(f313(x102714,x102711,x102715),x102716)),f330(f330(f6(x102714,x102712),f330(f74(x102711,x102712,x102714,x102713),x102715)),x102716))+P108(f330(f330(f332(x102714),f489(x102711,x102713,x102715,x102716,x102714,x102712)),x102716)) % 199.49/199.85 [10396]~P72(x103961)+~P108(f330(f62(x103962),x103966))+E(f330(f330(f330(f66(x103961,x103962,f83(x103961)),f330(f330(f18(x103962,f935(x103963,a923),x103961),f330(f330(f7(x103962,x103961,f935(f935(x103963,a923),x103961)),f330(f330(f8(f935(x103963,x103961),f935(x103961,f935(f935(x103963,a923),x103961)),x103962),f66(x103961,x103963,f83(x103961))),x103964)),f80(x103961))),x103965)),f80(x103961)),x103966),f330(f330(f330(f66(x103961,f934(x103962,x103963),f83(x103961)),f330(f260(x103962,x103963,x103961),x103964)),f80(x103961)),f330(f330(f257(x103962,x103963),x103966),x103965)))+P108(f330(f330(f332(x103962),f556(x103964,x103965,x103963,x103966,x103962,x103961)),x103966)) % 199.49/199.85 [10418]~P72(x104181)+~P108(f330(f62(x104182),x104186))+E(f330(f330(f330(f66(x104181,x104182,f83(x104181)),f330(f330(f18(x104182,f935(x104183,a923),x104181),f330(f330(f7(x104182,x104181,f935(f935(x104183,a923),x104181)),f330(f330(f8(f935(x104183,x104181),f935(x104181,f935(f935(x104183,a923),x104181)),x104182),f66(x104181,x104183,f83(x104181))),x104184)),f80(x104181))),x104185)),f80(x104181)),x104186),f330(f330(f330(f66(x104181,f934(x104182,x104183),f83(x104181)),f330(f260(x104182,x104183,x104181),x104184)),f80(x104181)),f330(f330(f257(x104182,x104183),x104186),x104185)))+~P108(f330(f62(x104183),f330(x104185,f556(x104184,x104185,x104183,x104186,x104182,x104181)))) % 199.49/199.85 [8529]~P20(x85292,x85295,x85296,x85291)+~P108(f330(f62(x85292),x85294))+~P108(f330(f62(x85292),x85293))+E(f330(x85291,f330(f330(f113(f935(x85292,a923)),x85293),x85294)),f330(f74(x85295,x85295,x85295,f330(x85291,x85293)),f330(x85291,x85294))) % 199.49/199.85 [8746]~P5(x87461)+P108(f330(f330(f238(x87461),f330(x87462,x87463)),x87464))+~P108(f330(f330(f332(x87465),x87463),x87466))+~P108(f330(f330(f238(x87461),f330(f330(f40(x87465,x87461),x87466),x87462)),x87464)) % 199.49/199.85 [9177]~P25(x91772,x91771,x91773,x91776)+E(f330(f330(f23(f935(x91771,a923)),f330(f313(x91772,x91771,x91773),x91774)),f330(f313(x91772,x91771,x91773),x91775)),f330(f313(x91772,x91771,x91773),f330(f330(f23(f935(x91772,a923)),x91774),x91775)))+~P108(f330(f330(f238(f935(x91772,a923)),x91775),x91776))+~P108(f330(f330(f238(f935(x91772,a923)),x91774),x91776)) % 199.49/199.85 [9178]~P25(x91782,x91781,x91783,x91786)+E(f330(f330(f104(f935(x91781,a923)),f330(f313(x91782,x91781,x91783),x91784)),f330(f313(x91782,x91781,x91783),x91785)),f330(f313(x91782,x91781,x91783),f330(f330(f104(f935(x91782,a923)),x91784),x91785)))+~P108(f330(f330(f238(f935(x91782,a923)),x91785),x91786))+~P108(f330(f330(f238(f935(x91782,a923)),x91784),x91786)) % 199.49/199.85 [9437]E(x94371,x94372)+~P57(x94373,x94374,x94375)+~P108(f330(f330(f332(f934(x94373,x94374)),f330(f330(f255(x94373,x94374),x94376),x94372)),x94375))+~P108(f330(f330(f332(f934(x94373,x94374)),f330(f330(f255(x94373,x94374),x94376),x94371)),x94375)) % 199.49/199.85 [10208]~P70(x102081)+~E(f330(x102083,f879(x102084,x102086,x102083,x102085,x102082,x102081)),f330(x102086,f879(x102084,x102086,x102083,x102085,x102082,x102081)))+~P108(f330(f62(x102082),x102085))+E(f330(f330(f330(f66(x102081,x102082,f83(x102081)),x102083),x102084),x102085),f330(f330(f330(f66(x102081,x102082,f83(x102081)),x102086),x102084),x102085)) % 199.49/199.85 [10268]~P70(x102681)+~P108(f330(f62(x102682),x102685))+E(f330(f330(f330(f66(x102681,x102682,f83(x102681)),x102683),x102684),x102685),f330(f330(f330(f66(x102681,x102682,f83(x102681)),x102686),x102684),x102685))+P108(f330(f330(f332(x102682),f879(x102684,x102683,x102686,x102685,x102682,x102681)),x102685)) % 199.49/199.85 [8972]~P70(x89721)+~P108(f330(f62(x89722),x89726))+P108(f330(f330(f332(x89722),x89725),x89726))+E(f330(f330(f330(f66(x89721,x89722,f83(x89721)),x89723),x89724),f330(f330(f312(x89722),x89725),x89726)),f330(f330(f83(x89721),f330(x89723,x89725)),f330(f330(f330(f66(x89721,x89722,f83(x89721)),x89723),x89724),x89726))) % 199.49/199.85 [9025]~P8(x90251,x90256,x90253)+~P11(x90251,f935(x90252,a923),x90253,x90255)+~P108(f330(f330(f332(x90251),x90254),x90256))+E(f330(f330(f40(x90251,f935(x90252,a923)),f330(f288(x90251,x90251,x90253),f330(f330(f312(x90251),x90254),f191(f935(x90251,a923))))),x90255),f330(x90255,x90254)) % 199.49/199.85 [9152]~P16(x91523,x91524,x91521)+~P108(f330(f62(x91523),x91526))+~P108(f330(f330(f332(x91523),x91522),x91526))+E(f330(f330(x91521,x91522),f330(f330(f65(x91523,x91524,x91521),x91525),f330(f330(f23(f935(x91523,a923)),x91526),f330(f330(f312(x91523),x91522),f191(f935(x91523,a923)))))),f330(f330(f65(x91523,x91524,x91521),x91525),x91526)) % 199.49/199.85 [9447]~P19(x94473,x94471,x94476,x94472)+~P108(f330(f62(x94473),x94475))+~P108(f330(f62(x94473),x94474))+E(f330(f74(x94471,x94471,x94471,f330(x94472,f330(f330(f113(f935(x94473,a923)),x94474),x94475))),f330(x94472,f330(f330(f104(f935(x94473,a923)),x94474),x94475))),f330(f74(x94471,x94471,x94471,f330(x94472,x94474)),f330(x94472,x94475))) % 199.49/199.85 [9789]~E(x97893,f330(f330(f162(x97891,x97892),x97895),x97896))+P108(f330(f330(f332(f934(f929(x97891),f929(x97891))),f330(f330(f255(f929(x97891),f929(x97891)),x97892),x97893)),f160(x97891,x97894)))+~P108(f330(f330(f239(a928),x97895),f330(f192(f929(x97891)),x97892)))+~P108(f330(f330(f332(f934(x97891,x97891)),f330(f330(f255(x97891,x97891),f330(f330(f167(x97891),x97892),x97895)),x97896)),x97894)) % 199.49/199.85 [10281]~P72(x102812)+~P108(f330(f62(x102811),x102816))+P108(f330(f330(f332(x102811),f555(x102814,x102815,x102813,x102816,x102811,x102812)),x102816))+E(f330(f330(f9(x102811,x102812),f330(f330(f18(x102811,f935(x102813,a923),x102812),f330(f330(f8(f935(x102813,x102812),f935(f935(x102813,a923),x102812),x102811),f9(x102813,x102812)),x102814)),x102815)),x102816),f330(f330(f9(f934(x102811,x102813),x102812),f330(f260(x102811,x102813,x102812),x102814)),f330(f330(f257(x102811,x102813),x102816),x102815))) % 199.49/199.85 [10282]~P76(x102822)+~P108(f330(f62(x102821),x102826))+P108(f330(f330(f332(x102821),f557(x102824,x102825,x102823,x102826,x102821,x102822)),x102826))+E(f330(f330(f6(x102821,x102822),f330(f330(f18(x102821,f935(x102823,a923),x102822),f330(f330(f8(f935(x102823,x102822),f935(f935(x102823,a923),x102822),x102821),f6(x102823,x102822)),x102824)),x102825)),x102826),f330(f330(f6(f934(x102821,x102823),x102822),f330(f260(x102821,x102823,x102822),x102824)),f330(f330(f257(x102821,x102823),x102826),x102825))) % 199.49/199.85 [10322]~P72(x103222)+~P108(f330(f62(x103221),x103226))+~P108(f330(f62(x103223),f330(x103225,f555(x103224,x103225,x103223,x103226,x103221,x103222))))+E(f330(f330(f9(x103221,x103222),f330(f330(f18(x103221,f935(x103223,a923),x103222),f330(f330(f8(f935(x103223,x103222),f935(f935(x103223,a923),x103222),x103221),f9(x103223,x103222)),x103224)),x103225)),x103226),f330(f330(f9(f934(x103221,x103223),x103222),f330(f260(x103221,x103223,x103222),x103224)),f330(f330(f257(x103221,x103223),x103226),x103225))) % 199.49/199.85 [10323]~P76(x103232)+~P108(f330(f62(x103231),x103236))+~P108(f330(f62(x103233),f330(x103235,f557(x103234,x103235,x103233,x103236,x103231,x103232))))+E(f330(f330(f6(x103231,x103232),f330(f330(f18(x103231,f935(x103233,a923),x103232),f330(f330(f8(f935(x103233,x103232),f935(f935(x103233,a923),x103232),x103231),f6(x103233,x103232)),x103234)),x103235)),x103236),f330(f330(f6(f934(x103231,x103233),x103232),f330(f260(x103231,x103233,x103232),x103234)),f330(f330(f257(x103231,x103233),x103236),x103235))) % 199.49/199.85 [10303]~P72(x103032)+~P108(f330(f62(x103031),x103036))+P108(f330(f330(f332(x103031),x103033),x103036))+E(f330(f330(f9(x103031,x103032),f330(f330(f7(x103031,x103032,x103032),f330(f330(f18(x103031,x103032,f935(x103032,x103032)),f330(f330(f8(a923,f935(x103032,f935(x103032,x103032)),x103031),f99(x103032)),f330(f330(f7(x103031,x103031,a923),a327),x103033))),x103034)),x103035)),x103036),f330(f330(f247(x103032),x103035),f330(f36(x103031),x103036))) % 199.49/199.85 [10308]~P72(x103082)+~P108(f330(f62(x103081),x103086))+~P108(f330(f330(f332(x103081),x103083),x103086))+E(f330(f330(f9(x103081,x103082),f330(f330(f7(x103081,x103082,x103082),f330(f330(f18(x103081,x103082,f935(x103082,x103082)),f330(f330(f8(a923,f935(x103082,f935(x103082,x103082)),x103081),f99(x103082)),f330(f330(f7(x103081,x103081,a923),a327),x103083))),x103084)),x103085)),x103086),f330(f330(f83(x103082),f330(x103084,x103083)),f330(f330(f247(x103082),x103085),f330(f330(f23(a928),f330(f36(x103081),x103086)),f80(a928))))) % 199.49/199.85 [10387]~P108(f330(f62(x103871),x103875))+~P108(f330(f62(x103872),x103873))+P108(f330(f330(f332(x103872),f486(x103876,x103874,x103873,x103872,x103875,x103871)),x103873))+E(f330(f330(f6(x103871,a928),f330(f330(f8(f935(x103872,a923),a928,x103871),f36(x103872)),f330(f330(f8(f935(x103872,a923),f935(x103872,a923),x103871),f265(x103872)),f330(f330(f8(f935(x103872,a923),f935(x103872,a923),x103871),f330(f18(x103872,a923,a923),f330(f330(f8(a923,f935(a923,a923),x103872),a328),f330(f330(f7(x103872,f935(x103872,a923),a923),f332(x103872)),x103873)))),x103874)))),x103875),f330(f330(f83(a928),x103876),f330(f36(x103872),x103873))) % 199.49/199.85 [10388]~P108(f330(f62(x103881),x103885))+~P108(f330(f62(x103882),x103883))+P108(f330(f330(f332(x103882),f491(x103886,x103884,x103883,x103882,x103885,x103881)),x103883))+E(f330(f330(f6(x103881,a928),f330(f330(f8(f935(x103882,a923),a928,x103881),f36(x103882)),f330(f330(f8(f935(x103882,a923),f935(x103882,a923),x103881),f265(x103882)),f330(f330(f8(f935(x103882,a923),f935(x103882,a923),x103881),f330(f18(x103882,a923,a923),f330(f330(f8(a923,f935(a923,a923),x103882),a328),f330(f330(f7(x103882,f935(x103882,a923),a923),f332(x103882)),x103883)))),x103884)))),x103885),f330(f330(f6(x103882,a928),x103886),x103883)) % 199.49/199.85 [10432]~P108(f330(f62(x104322),x104323))+~P108(f330(f62(x104321),x104325))+~E(f330(f36(x104321),f330(f265(x104321),f330(f330(f18(x104321,a923,a923),f330(f330(f8(a923,f935(a923,a923),x104321),a328),f330(f330(f7(x104321,f935(x104321,a923),a923),f332(x104321)),x104325))),f330(f330(f7(x104321,x104322,a923),x104324),f486(x104326,x104324,x104323,x104322,x104325,x104321))))),x104326)+E(f330(f330(f6(x104321,a928),f330(f330(f8(f935(x104322,a923),a928,x104321),f36(x104322)),f330(f330(f8(f935(x104322,a923),f935(x104322,a923),x104321),f265(x104322)),f330(f330(f8(f935(x104322,a923),f935(x104322,a923),x104321),f330(f18(x104322,a923,a923),f330(f330(f8(a923,f935(a923,a923),x104322),a328),f330(f330(f7(x104322,f935(x104322,a923),a923),f332(x104322)),x104323)))),x104324)))),x104325),f330(f330(f83(a928),x104326),f330(f36(x104322),x104323))) % 199.49/199.85 [10434]~P108(f330(f62(x104342),x104343))+~P108(f330(f62(x104341),x104345))+~E(f330(f36(x104341),f330(f265(x104341),f330(f330(f18(x104341,a923,a923),f330(f330(f8(a923,f935(a923,a923),x104341),a328),f330(f330(f7(x104341,f935(x104341,a923),a923),f332(x104341)),x104345))),f330(f330(f7(x104341,x104342,a923),x104344),f491(x104346,x104344,x104343,x104342,x104345,x104341))))),f330(x104346,f491(x104346,x104344,x104343,x104342,x104345,x104341)))+E(f330(f330(f6(x104341,a928),f330(f330(f8(f935(x104342,a923),a928,x104341),f36(x104342)),f330(f330(f8(f935(x104342,a923),f935(x104342,a923),x104341),f265(x104342)),f330(f330(f8(f935(x104342,a923),f935(x104342,a923),x104341),f330(f18(x104342,a923,a923),f330(f330(f8(a923,f935(a923,a923),x104342),a328),f330(f330(f7(x104342,f935(x104342,a923),a923),f332(x104342)),x104343)))),x104344)))),x104345),f330(f330(f6(x104342,a928),x104346),x104343)) % 199.49/199.85 [10066]E(x100661,x100662)+~P16(x100663,x100664,x100665)+~P108(f330(f67(x100663,x100664,x100665,x100666,x100667),x100662))+~P108(f330(f67(x100663,x100664,x100665,x100666,x100667),x100661)) % 199.49/199.85 [9865]P108(f330(x98651,x98652))+~P108(f330(f330(f332(x98657),x98652),f330(x98656,x98654)))+~P108(f330(x98651,f900(x98651,x98656,x98655,x98653,x98657)))+~P108(f330(f330(f332(x98653),x98654),x98655)) % 199.49/199.85 [10295]~P16(x102957,x102956,x102951)+E(f330(f330(x102951,x102952),f889(x102952,x102953,x102954,x102955,x102951,x102956,x102957)),x102953)+~P108(f330(f67(x102957,x102956,x102951,x102955,x102954),x102953))+~P108(f330(f330(f332(x102957),x102952),x102954)) % 199.49/199.85 [10365]~P16(x103651,x103652,x103653)+~P108(f330(f67(x103651,x103652,x103653,x103654,x103655),x103657))+P108(f330(f67(x103651,x103652,x103653,x103654,f330(f330(f23(f935(x103651,a923)),x103655),f330(f330(f312(x103651),x103656),f191(f935(x103651,a923))))),f889(x103656,x103657,x103655,x103654,x103653,x103652,x103651)))+~P108(f330(f330(f332(x103651),x103656),x103655)) % 199.49/199.85 [9517]P26(x95171,x95172,x95173,x95174,x95175)+~P26(x95171,x95172,x95173,x95176,x95177)+~E(f330(f313(x95171,x95172,x95173),x95174),x95175)+~P108(f330(f330(f238(f935(x95171,a923)),x95174),x95176)) % 199.49/199.85 [9757]~P26(x97571,x97572,x97573,x97575,x97577)+~P26(x97571,x97572,x97573,x97574,x97576)+P26(x97571,x97572,x97573,f330(f330(f113(f935(x97571,a923)),x97574),x97575),f330(f330(f113(f935(x97572,a923)),x97576),x97577))+~E(f330(f330(f104(f935(x97572,a923)),x97576),x97577),f191(f935(x97572,a923))) % 199.49/199.85 [9762]~P70(x97621)+~P25(x97625,x97622,x97626,x97627)+~P108(f330(f62(x97625),x97627))+E(f330(f330(f330(f66(x97621,x97622,f83(x97621)),x97623),x97624),f330(f313(x97625,x97622,x97626),x97627)),f330(f330(f330(f66(x97621,x97625,f83(x97621)),f330(f74(x97622,x97621,x97625,x97623),x97626)),x97624),x97627)) % 199.49/199.85 [9888]~E(f330(f330(f312(x98881),x98885),x98886),f330(f330(f312(x98881),x98882),x98883))+~P108(f330(f67(x98881,x98881,x98884,x98882,x98883),x98887))+P108(f330(f330(f332(x98881),x98882),x98883))+P108(f330(f63(x98881,x98884,f330(f330(f312(x98881),x98885),x98886)),x98887)) % 199.49/199.85 [9972]P108(f330(x99721,x99722))+~P108(f330(f330(f332(x99723),x99722),f330(x99724,x99727)))+~P108(f330(f330(f332(x99726),x99727),x99725))+P108(f330(f330(f332(x99723),f900(x99721,x99724,x99725,x99726,x99723)),f330(f330(f40(x99726,f935(x99723,a923)),x99725),x99724))) % 199.49/199.85 [9990]~P25(x99902,x99901,x99905,x99904)+~P25(x99901,x99903,x99906,f330(f313(x99902,x99901,x99905),x99904))+E(f330(f330(f74(x99901,x99902,x99903,f79(x99902,x99901,x99904,x99905)),f79(x99901,x99903,f330(f313(x99902,x99901,x99905),x99904),x99906)),x99907),f330(f79(x99902,x99903,x99904,f330(f74(x99901,x99903,x99902,x99906),x99905)),x99907))+~P108(f330(f330(f332(x99903),x99907),f330(f313(x99901,x99903,x99906),f330(f313(x99902,x99901,x99905),x99904)))) % 199.49/199.85 [9991]~P25(x99912,x99911,x99915,x99914)+~P25(x99911,x99913,x99916,f330(f313(x99912,x99911,x99915),x99914))+E(f330(f330(f74(x99911,x99912,x99913,f94(x99912,x99911,x99914,x99915)),f94(x99911,x99913,f330(f313(x99912,x99911,x99915),x99914),x99916)),x99917),f330(f94(x99912,x99913,x99914,f330(f74(x99911,x99913,x99912,x99916),x99915)),x99917))+~P108(f330(f330(f332(x99913),x99917),f330(f313(x99911,x99913,x99916),f330(f313(x99912,x99911,x99915),x99914)))) % 199.49/199.85 [10296]~P16(x102967,x102966,x102961)+E(f330(f330(x102961,x102962),f891(x102963,x102964,x102962,x102965,x102961,x102966,x102967)),x102963)+P108(f330(f330(f332(x102967),x102962),x102964))+~P108(f330(f67(x102967,x102966,x102961,x102965,f330(f330(f312(x102967),x102962),x102964)),x102963)) % 199.49/199.85 [10364]~P16(x103641,x103644,x103645)+P108(f330(f67(x103641,x103644,x103645,x103646,x103643),f891(x103647,x103643,x103642,x103646,x103645,x103644,x103641)))+P108(f330(f330(f332(x103641),x103642),x103643))+~P108(f330(f67(x103641,x103644,x103645,x103646,f330(f330(f312(x103641),x103642),x103643)),x103647)) % 199.49/199.85 [10048]E(x100481,f2(a1))+~P108(f330(f50(x100483,x100481),f330(f330(f255(a1,a1),x100485),x100487)))+~P108(f330(f50(x100482,x100481),f330(f330(f255(a1,a1),x100484),x100486)))+P108(f330(f50(f330(f330(f82(a1),x100482),x100483),x100481),f330(f330(f255(a1,a1),f330(f330(f82(a1),f330(f330(f82(a1),x100484),x100485)),f330(f330(f37(a1),f330(f330(f82(a1),x100486),x100487)),x100481))),f46(a1,f330(f330(f82(a1),x100486),x100487),x100481)))) % 199.49/199.85 [10050]~P108(f330(f330(f239(a928),f2(a928)),x100503))+~P108(f330(f49(x100502,x100503),f330(f330(f255(a928,a928),x100505),x100507)))+~P108(f330(f49(x100501,x100503),f330(f330(f255(a928,a928),x100504),x100506)))+P108(f330(f49(f330(f330(f82(a928),x100501),x100502),x100503),f330(f330(f255(a928,a928),f330(f330(f82(a928),f330(f330(f82(a928),x100504),x100505)),f330(f330(f37(a928),f330(f330(f82(a928),x100506),x100507)),x100503))),f46(a928,f330(f330(f82(a928),x100506),x100507),x100503)))) % 199.49/199.85 [10431]~P76(x104312)+~P108(f330(f62(x104313),x104315))+~P108(f330(f62(x104311),x104317))+E(f330(f330(f6(x104311,x104312),f330(f330(f18(x104311,f935(x104313,a923),x104312),f330(f330(f8(f935(x104313,x104312),f935(f935(x104313,a923),x104312),x104311),f6(x104313,x104312)),x104314)),f330(f330(f8(f935(x104313,a923),f935(x104313,a923),x104311),f265(x104313)),f330(f330(f8(f935(x104313,a923),f935(x104313,a923),x104311),f330(f18(x104313,a923,a923),f330(f330(f8(a923,f935(a923,a923),x104313),a328),f330(f330(f7(x104313,f935(x104313,a923),a923),f332(x104313)),x104315)))),x104316)))),x104317),f330(f330(f6(x104313,x104312),f330(f330(f18(x104313,f935(x104311,a923),x104312),f330(f330(f8(f935(x104311,x104312),f935(f935(x104311,a923),x104312),x104313),f6(x104311,x104312)),f330(f7(x104311,x104313,x104312),x104314))),f330(f330(f8(f935(x104311,a923),f935(x104311,a923),x104313),f265(x104311)),f330(f330(f8(f935(x104311,a923),f935(x104311,a923),x104313),f330(f18(x104311,a923,a923),f330(f330(f8(a923,f935(a923,a923),x104311),a328),f330(f330(f7(x104311,f935(x104311,a923),a923),f332(x104311)),x104317)))),f330(f7(x104311,x104313,a923),x104316))))),x104315)) % 199.49/199.85 [10385]~P21(x103858,x103857,x103856,x103855,x103851)+~E(f330(x103852,f871(x103854,x103852,x103853,x103851,x103855,x103856,x103857)),f330(x103854,f871(x103854,x103852,x103853,x103851,x103855,x103856,x103857)))+E(f330(f330(x103851,x103852),x103853),f330(f330(x103851,x103854),x103853))+~P108(f330(f62(x103857),x103853)) % 199.49/199.85 [9924]~P22(x99247,x99246,x99241,x99248,x99242,x99244)+E(f330(f330(x99241,f330(x99242,x99243)),f330(x99244,x99245)),f330(x99244,x99245))+~P108(f330(f62(x99246),x99245))+~P108(f330(f330(f332(x99246),x99243),x99245)) % 199.49/199.85 [9928]~P12(x99286,x99281,x99282,x99288,x99283,x99284)+~P8(x99286,x99287,x99288)+P11(x99281,x99282,x99283,f330(x99284,x99285))+~P108(f330(f330(f332(x99286),x99285),x99287)) % 199.49/199.85 [10403]~P21(x104038,x104035,x104037,x104036,x104031)+E(f330(f330(x104031,x104032),x104033),f330(f330(x104031,x104034),x104033))+~P108(f330(f62(x104035),x104033))+P108(f330(f330(f332(x104035),f871(x104032,x104034,x104033,x104031,x104036,x104037,x104035)),x104033)) % 199.49/199.85 [10484]~P108(f330(f330(x104841,x104846),x104845))+P108(f330(f330(x104841,f860(x104841,x104844,x104845,x104846,x104843,x104842,x104847,x104848)),f861(x104841,x104844,x104845,x104846,x104843,x104842,x104847,x104848)))+P108(f330(f330(x104841,x104842),x104843))+~P108(f330(f330(f332(f934(f934(x104848,x104847),f934(x104848,x104847))),f330(f330(f255(f934(x104848,x104847),f934(x104848,x104847)),f330(f330(f255(x104848,x104847),x104842),x104843)),f330(f330(f255(x104848,x104847),x104846),x104845))),f310(f934(x104848,x104847),x104844))) % 199.49/199.85 [10485]~P108(f330(f330(x104851,x104856),x104855))+P108(f330(f330(x104851,f850(x104851,x104854,x104853,x104852,x104855,x104856,x104857,x104858)),f853(x104851,x104854,x104853,x104852,x104855,x104856,x104857,x104858)))+P108(f330(f330(x104851,x104852),x104853))+~P108(f330(f330(f332(f934(f934(x104858,x104857),f934(x104858,x104857))),f330(f330(f255(f934(x104858,x104857),f934(x104858,x104857)),f330(f330(f255(x104858,x104857),x104856),x104855)),f330(f330(f255(x104858,x104857),x104852),x104853))),f310(f934(x104858,x104857),x104854))) % 199.49/199.85 [10495]~P108(f330(f330(x104951,f854(x104951,x104956,x104955,x104954,x104953,x104952,x104957,x104958)),f857(x104951,x104956,x104955,x104954,x104953,x104952,x104957,x104958)))+P108(f330(f330(x104951,x104952),x104953))+~P108(f330(f330(x104951,x104954),x104955))+~P108(f330(f330(f332(f934(f934(x104958,x104957),f934(x104958,x104957))),f330(f330(f255(f934(x104958,x104957),f934(x104958,x104957)),f330(f330(f255(x104958,x104957),x104952),x104953)),f330(f330(f255(x104958,x104957),x104954),x104955))),f310(f934(x104958,x104957),x104956))) % 199.49/199.85 [10496]~P108(f330(f330(x104961,f855(x104961,x104966,x104963,x104962,x104965,x104964,x104967,x104968)),f856(x104961,x104966,x104963,x104962,x104965,x104964,x104967,x104968)))+P108(f330(f330(x104961,x104962),x104963))+~P108(f330(f330(x104961,x104964),x104965))+~P108(f330(f330(f332(f934(f934(x104968,x104967),f934(x104968,x104967))),f330(f330(f255(f934(x104968,x104967),f934(x104968,x104967)),f330(f330(f255(x104968,x104967),x104964),x104965)),f330(f330(f255(x104968,x104967),x104962),x104963))),f310(f934(x104968,x104967),x104966))) % 199.49/199.85 [10509]~P108(f330(f330(x105091,x105096),x105097))+P108(f330(f330(x105091,x105092),x105093))+P108(f330(f330(f332(f934(f934(x105094,x105095),f934(x105094,x105095))),f330(f330(f255(f934(x105094,x105095),f934(x105094,x105095)),f330(f330(f255(x105094,x105095),x105096),x105097)),f330(f330(f255(x105094,x105095),f850(x105091,x105098,x105093,x105092,x105097,x105096,x105095,x105094)),f853(x105091,x105098,x105093,x105092,x105097,x105096,x105095,x105094)))),f310(f934(x105094,x105095),x105098)))+~P108(f330(f330(f332(f934(f934(x105094,x105095),f934(x105094,x105095))),f330(f330(f255(f934(x105094,x105095),f934(x105094,x105095)),f330(f330(f255(x105094,x105095),x105096),x105097)),f330(f330(f255(x105094,x105095),x105092),x105093))),f310(f934(x105094,x105095),x105098))) % 199.49/199.85 [10511]~P108(f330(f330(x105111,x105118),x105117))+P108(f330(f330(x105111,x105112),x105113))+P108(f330(f330(f332(f934(f934(x105114,x105115),f934(x105114,x105115))),f330(f330(f255(f934(x105114,x105115),f934(x105114,x105115)),f330(f330(f255(x105114,x105115),f860(x105111,x105116,x105117,x105118,x105113,x105112,x105115,x105114)),f861(x105111,x105116,x105117,x105118,x105113,x105112,x105115,x105114))),f330(f330(f255(x105114,x105115),x105118),x105117))),f310(f934(x105114,x105115),x105116)))+~P108(f330(f330(f332(f934(f934(x105114,x105115),f934(x105114,x105115))),f330(f330(f255(f934(x105114,x105115),f934(x105114,x105115)),f330(f330(f255(x105114,x105115),x105112),x105113)),f330(f330(f255(x105114,x105115),x105118),x105117))),f310(f934(x105114,x105115),x105116))) % 199.49/199.85 [9542]~P19(x95427,x95421,x95428,x95423)+~P108(f330(f62(x95427),x95425))+~P108(f330(f62(x95427),x95424))+E(f330(f74(x95421,x95421,x95422,f330(x95423,x95424)),f330(f74(x95421,x95421,x95422,f330(x95423,x95425)),x95426)),f330(f74(x95421,x95421,x95422,f330(x95423,x95425)),f330(f74(x95421,x95421,x95422,f330(x95423,x95424)),x95426))) % 199.49/199.85 [9551]~P36(x95511,x95512,x95513,x95514,x95517)+P36(x95511,x95512,x95513,f330(f330(f162(x95511,x95514),x95515),x95516),f330(f330(f162(x95512,x95517),x95515),x95518))+~P108(f330(f330(x95513,x95516),x95518))+~P108(f330(f330(f239(a928),x95515),f330(f192(f929(x95511)),x95514))) % 199.49/199.85 [9552]~P36(x95521,x95522,x95523,x95524,x95527)+P36(x95521,x95522,x95523,f330(f330(f162(x95521,x95524),x95525),x95526),f330(f330(f162(x95522,x95527),x95525),x95528))+~P108(f330(f330(x95523,x95526),x95528))+~P108(f330(f330(f239(a928),x95525),f330(f192(f929(x95522)),x95527))) % 199.49/199.85 [9631]~P25(x96312,x96312,x96315,x96316)+~P21(x96313,x96312,x96317,x96318,x96311)+~P108(f330(f62(x96312),x96316))+E(f330(f330(x96311,f330(f74(x96312,x96313,x96312,x96314),x96315)),x96316),f330(f330(x96311,x96314),f330(f313(x96312,x96312,x96315),x96316))) % 199.49/199.85 [9889]P26(x98891,x98892,x98893,x98894,x98895)+~P26(x98892,x98896,x98897,x98895,x98898)+~P26(x98891,x98896,f330(f74(x98892,x98896,x98891,x98897),x98893),x98894,x98898)+~P108(f330(f330(f238(f935(x98892,a923)),f330(f313(x98891,x98892,x98893),x98894)),x98895)) % 199.49/199.85 [9926]~P23(x99267,x99262,x99265,x99268,x99266,x99261)+~P108(f330(f62(x99262),x99264))+E(f330(x99261,f330(f330(f312(x99262),x99263),x99264)),f330(f330(x99265,f330(x99266,x99263)),f330(x99261,x99264)))+P108(f330(f330(f332(x99262),x99263),x99264)) % 199.49/199.85 [9937]~P22(x99376,x99375,x99371,x99377,x99378,x99372)+E(f330(f330(x99371,f330(x99372,x99373)),f330(x99372,x99374)),f330(x99372,x99374))+~P108(f330(f62(x99375),x99374))+~P108(f330(f330(f238(f935(x99375,a923)),x99373),x99374)) % 199.49/199.85 [10428]P24(x104288,x104287,f330(f330(f312(f927(x104288)),f330(f330(f330(f93(x104288),x104284),x104285),x104283)),f191(f935(f927(x104288),a923))))+~P24(x104288,x104287,f330(f330(f312(f927(x104288)),f330(f330(f330(f93(x104288),x104286),x104285),x104281)),f191(f935(f927(x104288),a923))))+~P108(f330(f330(x104286,x104282),f906(x104283,x104284,x104281,x104285,x104286,x104287,x104288)))+P108(f330(f330(x104281,x104282),f914(x104283,x104284,x104281,x104285,x104286,x104287,x104288))) % 199.49/199.85 [9529]P108(f330(f330(f332(f934(f929(x95291),f929(x95291))),f330(f330(f255(f929(x95291),f929(x95291)),x95292),x95293)),f160(x95291,x95294)))+~E(x95293,f330(f330(f137(x95291),x95295),f330(f330(f154(x95291),x95296),x95297)))+~E(x95292,f330(f330(f137(x95291),x95295),f330(f330(f154(x95291),x95298),x95297)))+~P108(f330(f330(f332(f934(x95291,x95291)),f330(f330(f255(x95291,x95291),x95298),x95296)),x95294)) % 199.49/199.85 [9931]~P22(x99316,x99312,x99315,x99317,x99318,x99311)+~P108(f330(f62(x99312),x99314))+~P108(f330(f62(x99312),x99313))+E(f330(x99311,f330(f330(f113(f935(x99312,a923)),x99313),x99314)),f330(f330(x99315,f330(x99311,x99313)),f330(x99311,x99314))) % 199.49/199.85 [10474]~P25(x104744,x104742,x104745,x104748)+E(f330(f330(f41(x104741,f935(x104742,a923)),x104743),f330(f330(f8(f935(x104744,a923),f935(x104742,a923),x104741),f313(x104744,x104742,x104745)),x104746)),f330(f313(x104744,x104742,x104745),f330(f330(f41(x104741,f935(x104744,a923)),x104743),x104746)))+~P108(f330(f330(f332(x104741),x104747),x104743))+P108(f330(f330(f332(x104741),f523(x104747,x104746,x104743,x104741,x104748,x104745,x104742,x104744)),x104743)) % 199.49/199.85 [10500]~P25(x105004,x105002,x105005,x105007)+E(f330(f330(f41(x105001,f935(x105002,a923)),x105003),f330(f330(f8(f935(x105004,a923),f935(x105002,a923),x105001),f313(x105004,x105002,x105005)),x105006)),f330(f313(x105004,x105002,x105005),f330(f330(f41(x105001,f935(x105004,a923)),x105003),x105006)))+~P108(f330(f330(f332(x105001),x105008),x105003))+~P108(f330(f330(f238(f935(x105004,a923)),f330(x105006,f523(x105008,x105006,x105003,x105001,x105007,x105005,x105002,x105004))),x105007)) % 199.49/199.85 [10512]~P108(f330(f330(x105121,x105128),x105127))+P108(f330(f330(x105121,x105122),x105123))+~P108(f330(f330(f332(f934(f934(x105124,x105125),f934(x105124,x105125))),f330(f330(f255(f934(x105124,x105125),f934(x105124,x105125)),f330(f330(f255(x105124,x105125),x105122),x105123)),f330(f330(f255(x105124,x105125),x105128),x105127))),f310(f934(x105124,x105125),x105126)))+P108(f330(f330(f332(f934(f934(x105124,x105125),f934(x105124,x105125))),f330(f330(f255(f934(x105124,x105125),f934(x105124,x105125)),f330(f330(f255(x105124,x105125),f854(x105121,x105126,x105127,x105128,x105123,x105122,x105125,x105124)),f857(x105121,x105126,x105127,x105128,x105123,x105122,x105125,x105124))),f330(f330(f255(x105124,x105125),f860(x105121,x105126,x105127,x105128,x105123,x105122,x105125,x105124)),f861(x105121,x105126,x105127,x105128,x105123,x105122,x105125,x105124)))),x105126)) % 199.49/199.85 [10513]~P108(f330(f330(x105131,x105138),x105137))+P108(f330(f330(x105131,x105132),x105133))+~P108(f330(f330(f332(f934(f934(x105134,x105135),f934(x105134,x105135))),f330(f330(f255(f934(x105134,x105135),f934(x105134,x105135)),f330(f330(f255(x105134,x105135),x105138),x105137)),f330(f330(f255(x105134,x105135),x105132),x105133))),f310(f934(x105134,x105135),x105136)))+P108(f330(f330(f332(f934(f934(x105134,x105135),f934(x105134,x105135))),f330(f330(f255(f934(x105134,x105135),f934(x105134,x105135)),f330(f330(f255(x105134,x105135),f850(x105131,x105136,x105133,x105132,x105137,x105138,x105135,x105134)),f853(x105131,x105136,x105133,x105132,x105137,x105138,x105135,x105134))),f330(f330(f255(x105134,x105135),f855(x105131,x105136,x105133,x105132,x105137,x105138,x105135,x105134)),f856(x105131,x105136,x105133,x105132,x105137,x105138,x105135,x105134)))),x105136)) % 199.49/199.85 [10000]~P23(x100007,x100005,x100001,x100008,x100002,x100004)+~P108(f330(f62(x100005),x100006))+~P108(f330(f330(f332(x100005),x100003),x100006))+E(f330(f330(x100001,f330(x100002,x100003)),f330(x100004,f330(f330(f23(f935(x100005,a923)),x100006),f330(f330(f312(x100005),x100003),f191(f935(x100005,a923)))))),f330(x100004,x100006)) % 199.49/199.85 [10008]~P23(x100086,x100083,x100081,x100087,x100088,x100082)+~P108(f330(f62(x100083),x100085))+~P108(f330(f62(x100083),x100084))+E(f330(f330(x100081,f330(x100082,f330(f330(f113(f935(x100083,a923)),x100084),x100085))),f330(x100082,f330(f330(f104(f935(x100083,a923)),x100084),x100085))),f330(f330(x100081,f330(x100082,x100084)),f330(x100082,x100085))) % 199.49/199.85 [10091]P44(x100911,x100912,x100913,x100914,x100915,f330(f330(x100913,x100916),x100917))+~P44(x100911,x100912,x100913,x100914,f330(f330(f23(f935(x100911,a923)),x100915),f330(f330(f312(x100911),x100918),f191(f935(x100911,a923)))),x100919)+~E(f330(f330(x100913,x100916),x100917),f330(f330(x100913,x100918),x100919))+~P108(f330(f330(f332(x100911),x100918),x100915)) % 199.49/199.85 [10516]P24(x105161,x105162,f330(f330(f312(f927(x105161)),f330(f330(f330(f93(x105161),f330(x105163,f562(x105164,x105165,x105166,x105167,x105163,x105162,x105161,x105168,x105169))),f330(x105167,f562(x105164,x105165,x105166,x105167,x105163,x105162,x105161,x105168,x105169))),f330(x105166,f562(x105164,x105165,x105166,x105167,x105163,x105162,x105161,x105168,x105169)))),f191(f935(f927(x105161),a923))))+~P108(f330(f62(x105169),x105168))+~P24(x105161,x105162,f330(f313(x105169,f927(x105161),f330(f330(f18(x105169,f935(x105161,f935(a924,a923)),f927(x105161)),f330(f330(f18(x105169,a925,f935(f935(x105161,f935(a924,a923)),f927(x105161))),f330(f330(f8(f935(x105161,f935(a924,a923)),f935(a925,f935(f935(x105161,f935(a924,a923)),f927(x105161))),x105169),f93(x105161)),x105163)),x105167)),x105166)),x105168))+P24(x105161,x105162,f330(f313(x105169,f927(x105161),f330(f330(f18(x105169,f935(x105161,f935(a924,a923)),f927(x105161)),f330(f330(f18(x105169,a925,f935(f935(x105161,f935(a924,a923)),f927(x105161))),f330(f330(f8(f935(x105161,f935(a924,a923)),f935(a925,f935(f935(x105161,f935(a924,a923)),f927(x105161))),x105169),f93(x105161)),x105165)),x105167)),x105164)),x105168)) % 199.49/199.85 [10517]~P24(x105171,x105172,f330(f330(f312(f927(x105171)),f330(f330(f330(f93(x105171),f330(x105174,f562(x105176,x105174,x105178,x105175,x105179,x105172,x105171,x105177,x105173))),f330(x105175,f562(x105176,x105174,x105178,x105175,x105179,x105172,x105171,x105177,x105173))),f330(x105176,f562(x105176,x105174,x105178,x105175,x105179,x105172,x105171,x105177,x105173)))),f191(f935(f927(x105171),a923))))+~P108(f330(f62(x105173),x105177))+~P24(x105171,x105172,f330(f313(x105173,f927(x105171),f330(f330(f18(x105173,f935(x105171,f935(a924,a923)),f927(x105171)),f330(f330(f18(x105173,a925,f935(f935(x105171,f935(a924,a923)),f927(x105171))),f330(f330(f8(f935(x105171,f935(a924,a923)),f935(a925,f935(f935(x105171,f935(a924,a923)),f927(x105171))),x105173),f93(x105171)),x105179)),x105175)),x105178)),x105177))+P24(x105171,x105172,f330(f313(x105173,f927(x105171),f330(f330(f18(x105173,f935(x105171,f935(a924,a923)),f927(x105171)),f330(f330(f18(x105173,a925,f935(f935(x105171,f935(a924,a923)),f927(x105171))),f330(f330(f8(f935(x105171,f935(a924,a923)),f935(a925,f935(f935(x105171,f935(a924,a923)),f927(x105171))),x105173),f93(x105171)),x105174)),x105175)),x105176)),x105177)) % 199.49/199.85 [10032]~P12(x100326,x100327,x100328,x100329,x1003210,x100321)+E(f330(f330(x100321,x100322),x100323),f330(f330(x100321,x100324),x100325))+~P108(f330(f330(f332(f934(x100327,x100327)),f330(f330(f255(x100327,x100327),x100323),x100325)),x1003210))+~P108(f330(f330(f332(f934(x100326,x100326)),f330(f330(f255(x100326,x100326),x100322),x100324)),x100329)) % 199.49/199.85 [9635]~P99(x96352)+E(x96351,f191(f935(x96352,a923)))+~P108(f330(f62(x96352),x96351))+P108(f330(f330(f332(x96352),f13(x96352,x96351)),x96351))+~P108(f330(f330(f332(x96352),f330(f330(f113(x96352),f417(x96351,x96352)),f420(x96351,x96352))),f330(f330(f312(x96352),f417(x96351,x96352)),f330(f330(f312(x96352),f420(x96351,x96352)),f191(f935(x96352,a923)))))) % 199.49/199.85 [9636]~P99(x96362)+E(x96361,f191(f935(x96362,a923)))+~P108(f330(f62(x96362),x96361))+P108(f330(f330(f332(x96362),f10(x96362,x96361)),x96361))+~P108(f330(f330(f332(x96362),f330(f330(f104(x96362),f396(x96361,x96362)),f399(x96361,x96362))),f330(f330(f312(x96362),f396(x96361,x96362)),f330(f330(f312(x96362),f399(x96361,x96362)),f191(f935(x96362,a923)))))) % 199.49/199.85 [9667]~P70(x96672)+E(x96671,f191(f935(x96672,a923)))+~P108(f330(f62(x96672),x96671))+P108(f330(f330(f332(x96672),f330(f64(x96672,f83(x96672)),x96671)),x96671))+~P108(f330(f330(f332(x96672),f330(f330(f83(x96672),f811(x96671,x96672)),f823(x96671,x96672))),f330(f330(f312(x96672),f811(x96671,x96672)),f330(f330(f312(x96672),f823(x96671,x96672)),f191(f935(x96672,a923)))))) % 199.49/199.85 [9672]~P110(x96722)+E(x96721,f191(f935(x96722,a923)))+~P108(f330(f62(x96722),x96721))+P108(f330(f330(f332(x96722),f11(x96722,f236(x96722),x96721)),x96721))+~P108(f330(f330(f332(x96722),f330(f330(f236(x96722),f360(x96721,x96722)),f361(x96721,x96722))),f330(f330(f312(x96722),f360(x96721,x96722)),f330(f330(f312(x96722),f361(x96721,x96722)),f191(f935(x96722,a923)))))) % 199.49/199.85 [9673]~P110(x96732)+E(x96731,f191(f935(x96732,a923)))+~P108(f330(f62(x96732),x96731))+P108(f330(f330(f332(x96732),f12(x96732,f237(x96732),x96731)),x96731))+~P108(f330(f330(f332(x96732),f330(f330(f237(x96732),f397(x96731,x96732)),f398(x96731,x96732))),f330(f330(f312(x96732),f397(x96731,x96732)),f330(f330(f312(x96732),f398(x96731,x96732)),f191(f935(x96732,a923)))))) % 199.49/199.85 [6798]~P89(x67982)+E(x67981,f2(x67982))+~E(f330(f330(f82(x67982),x67983),x67981),f2(x67982))+~P108(f330(f330(f238(x67982),f2(x67982)),x67983))+~P108(f330(f330(f238(x67982),f2(x67982)),x67981)) % 199.49/199.85 [6799]~P89(x67992)+E(x67991,f2(x67992))+~E(f330(f330(f82(x67992),x67991),x67993),f2(x67992))+~P108(f330(f330(f238(x67992),f2(x67992)),x67993))+~P108(f330(f330(f238(x67992),f2(x67992)),x67991)) % 199.49/199.85 [7329]~P110(x73292)+~P13(x73292,x73291)+E(x73291,f116(x73292))+~P108(f330(f330(f332(x73292),x73293),f330(f175(x73292),f718(x73291,x73292))))+P108(f330(f330(f238(x73292),f738(x73291,x73292)),x73293)) % 199.49/199.85 [7500]~P110(x75001)+E(f14(x75001,x75002),x75003)+~P108(f330(f62(x75001),x75002))+~P108(f330(f330(f238(x75001),x75003),f608(x75003,x75002,x75001)))+~P108(f330(f330(f332(x75001),x75003),x75002)) % 199.49/199.85 [7533]~P110(x75331)+~P13(x75331,x75332)+~P13(x75331,x75333)+P13(x75331,f330(f330(f137(x75331),x75332),x75333))+P108(f330(f330(f332(x75331),f724(x75333,x75332,x75331)),f330(f175(x75331),x75332))) % 199.49/199.85 [7534]~P110(x75341)+~P13(x75341,x75342)+~P13(x75341,x75343)+P13(x75341,f330(f330(f137(x75341),x75342),x75343))+P108(f330(f330(f332(x75341),f725(x75343,x75342,x75341)),f330(f175(x75341),x75343))) % 199.49/199.85 [7594]~P110(x75941)+E(f14(x75941,x75942),x75943)+~P108(f330(f62(x75941),x75942))+P108(f330(f330(f332(x75941),f608(x75943,x75942,x75941)),x75942))+~P108(f330(f330(f332(x75941),x75943),x75942)) % 199.49/199.85 [7595]~P110(x75951)+E(f15(x75951,x75952),x75953)+~P108(f330(f62(x75951),x75952))+P108(f330(f330(f332(x75951),f609(x75953,x75952,x75951)),x75952))+~P108(f330(f330(f332(x75951),x75953),x75952)) % 199.49/199.85 [8161]~P110(x81611)+E(f15(x81611,x81612),x81613)+~P108(f330(f62(x81611),x81612))+~P108(f330(f330(f332(x81611),x81613),x81612))+~P108(f330(f330(f238(x81611),f609(x81613,x81612,x81611)),x81613)) % 199.49/199.85 [8477]~P110(x84771)+~P13(x84771,x84772)+~P13(x84771,x84773)+P13(x84771,f330(f330(f137(x84771),x84772),x84773))+~P108(f330(f330(f238(x84771),f724(x84773,x84772,x84771)),f725(x84773,x84772,x84771))) % 199.49/199.85 [9272]~P110(x92722)+E(x92721,f191(f935(x92722,a923)))+~E(f330(f330(f236(x92722),f330(x92723,f408(x92721,x92723,x92722))),f330(x92723,f409(x92721,x92723,x92722))),f330(x92723,f330(f330(f236(x92722),f408(x92721,x92723,x92722)),f409(x92721,x92723,x92722))))+E(f14(x92722,f330(f313(x92722,x92722,x92723),x92721)),f330(x92723,f14(x92722,x92721)))+~P108(f330(f62(x92722),x92721)) % 199.49/199.85 [9273]~P110(x92732)+E(x92731,f191(f935(x92732,a923)))+~E(f330(f330(f237(x92732),f330(x92733,f392(x92731,x92733,x92732))),f330(x92733,f402(x92731,x92733,x92732))),f330(x92733,f330(f330(f237(x92732),f392(x92731,x92733,x92732)),f402(x92731,x92733,x92732))))+E(f15(x92732,f330(f313(x92732,x92732,x92733),x92731)),f330(x92733,f15(x92732,x92731)))+~P108(f330(f62(x92732),x92731)) % 199.49/199.85 [9274]~P99(x92742)+E(x92741,f191(f935(x92742,a923)))+~E(f330(f330(f113(x92742),f330(x92743,f425(x92741,x92743,x92742))),f330(x92743,f427(x92741,x92743,x92742))),f330(x92743,f330(f330(f113(x92742),f425(x92741,x92743,x92742)),f427(x92741,x92743,x92742))))+E(f13(x92742,f330(f313(x92742,x92742,x92743),x92741)),f330(x92743,f13(x92742,x92741)))+~P108(f330(f62(x92742),x92741)) % 199.49/199.85 [9275]~P99(x92752)+E(x92751,f191(f935(x92752,a923)))+~E(f330(f330(f104(x92752),f330(x92753,f423(x92751,x92753,x92752))),f330(x92753,f426(x92751,x92753,x92752))),f330(x92753,f330(f330(f104(x92752),f423(x92751,x92753,x92752)),f426(x92751,x92753,x92752))))+E(f10(x92752,f330(f313(x92752,x92752,x92753),x92751)),f330(x92753,f10(x92752,x92751)))+~P108(f330(f62(x92752),x92751)) % 199.49/199.85 [9343]~P110(x93432)+E(x93431,f191(f935(x93432,a923)))+~E(f330(f330(f236(x93432),f330(x93433,f393(x93431,x93433,x93432))),f330(x93433,f401(x93431,x93433,x93432))),f330(x93433,f330(f330(f236(x93432),f393(x93431,x93433,x93432)),f401(x93431,x93433,x93432))))+E(f11(x93432,f236(x93432),f330(f313(x93432,x93432,x93433),x93431)),f330(x93433,f11(x93432,f236(x93432),x93431)))+~P108(f330(f62(x93432),x93431)) % 199.49/199.85 [9344]~P110(x93442)+E(x93441,f191(f935(x93442,a923)))+~E(f330(f330(f237(x93442),f330(x93443,f394(x93441,x93443,x93442))),f330(x93443,f400(x93441,x93443,x93442))),f330(x93443,f330(f330(f237(x93442),f394(x93441,x93443,x93442)),f400(x93441,x93443,x93442))))+E(f12(x93442,f237(x93442),f330(f313(x93442,x93442,x93443),x93441)),f330(x93443,f12(x93442,f237(x93442),x93441)))+~P108(f330(f62(x93442),x93441)) % 199.49/199.85 [6814]~P70(x68142)+E(x68141,f191(f935(x68142,a923)))+~P108(f330(f62(x68142),x68141))+E(f330(f64(x68142,f83(x68142)),f330(f330(f312(x68142),x68143),x68141)),f330(f330(f83(x68142),x68143),f330(f64(x68142,f83(x68142)),x68141)))+P108(f330(f330(f332(x68142),x68143),x68141)) % 199.49/199.85 [7335]~P110(x73352)+E(f330(f330(f236(x73352),f14(x73352,x73351)),f14(x73352,x73353)),f14(x73352,x73353))+E(x73351,f191(f935(x73352,a923)))+~P108(f330(f62(x73352),x73353))+~P108(f330(f330(f238(f935(x73352,a923)),x73351),x73353)) % 199.49/199.85 [7336]~P110(x73362)+E(f330(f330(f237(x73362),f15(x73362,x73361)),f15(x73362,x73363)),f15(x73362,x73363))+E(x73361,f191(f935(x73362,a923)))+~P108(f330(f62(x73362),x73363))+~P108(f330(f330(f238(f935(x73362,a923)),x73361),x73363)) % 199.49/199.85 [7337]~P99(x73372)+E(f330(f330(f104(x73372),f10(x73372,x73371)),f10(x73372,x73373)),f10(x73372,x73373))+E(x73371,f191(f935(x73372,a923)))+~P108(f330(f62(x73372),x73373))+~P108(f330(f330(f238(f935(x73372,a923)),x73371),x73373)) % 199.49/199.85 [7338]~P99(x73382)+E(f330(f330(f113(x73382),f13(x73382,x73381)),f13(x73382,x73383)),f13(x73382,x73383))+E(x73381,f191(f935(x73382,a923)))+~P108(f330(f62(x73382),x73383))+~P108(f330(f330(f238(f935(x73382,a923)),x73381),x73383)) % 199.49/199.85 [7641]~P110(x76412)+E(x76411,f191(f935(x76412,a923)))+~P108(f330(f62(x76412),x76413))+P108(f330(f330(f238(x76412),f14(x76412,x76413)),f14(x76412,x76411)))+~P108(f330(f330(f238(f935(x76412,a923)),x76411),x76413)) % 199.49/199.85 [7642]~P110(x76422)+E(x76421,f191(f935(x76422,a923)))+~P108(f330(f62(x76422),x76423))+P108(f330(f330(f238(x76422),f15(x76422,x76421)),f15(x76422,x76423)))+~P108(f330(f330(f238(f935(x76422,a923)),x76421),x76423)) % 199.49/199.85 [7695]~P110(x76951)+E(f14(x76951,x76952),x76953)+~P108(f330(f62(x76951),x76952))+~E(f330(f330(f23(f935(x76951,a923)),x76952),f330(f330(f312(x76951),x76953),f191(f935(x76951,a923)))),f191(f935(x76951,a923)))+~P108(f330(f330(f332(x76951),x76953),x76952)) % 199.49/199.85 [7696]~P110(x76961)+E(f15(x76961,x76962),x76963)+~P108(f330(f62(x76961),x76962))+~E(f330(f330(f23(f935(x76961,a923)),x76962),f330(f330(f312(x76961),x76963),f191(f935(x76961,a923)))),f191(f935(x76961,a923)))+~P108(f330(f330(f332(x76961),x76963),x76962)) % 199.49/199.85 [7697]~P99(x76971)+E(f13(x76971,x76972),x76973)+~P108(f330(f62(x76971),x76972))+~E(f330(f330(f23(f935(x76971,a923)),x76972),f330(f330(f312(x76971),x76973),f191(f935(x76971,a923)))),f191(f935(x76971,a923)))+~P108(f330(f330(f332(x76971),x76973),x76972)) % 199.49/199.85 [7698]~P99(x76981)+E(f10(x76981,x76982),x76983)+~P108(f330(f62(x76981),x76982))+~E(f330(f330(f23(f935(x76981,a923)),x76982),f330(f330(f312(x76981),x76983),f191(f935(x76981,a923)))),f191(f935(x76981,a923)))+~P108(f330(f330(f332(x76981),x76983),x76982)) % 199.49/199.85 [7793]~P110(x77931)+E(f11(x77931,f236(x77931),x77932),x77933)+~P108(f330(f62(x77931),x77932))+~E(f330(f330(f23(f935(x77931,a923)),x77932),f330(f330(f312(x77931),x77933),f191(f935(x77931,a923)))),f191(f935(x77931,a923)))+~P108(f330(f330(f332(x77931),x77933),x77932)) % 199.49/199.85 [7794]~P110(x77941)+E(f12(x77941,f237(x77941),x77942),x77943)+~P108(f330(f62(x77941),x77942))+~E(f330(f330(f23(f935(x77941,a923)),x77942),f330(f330(f312(x77941),x77943),f191(f935(x77941,a923)))),f191(f935(x77941,a923)))+~P108(f330(f330(f332(x77941),x77943),x77942)) % 199.49/199.85 [7829]~P110(x78292)+E(x78291,f191(f935(x78292,a923)))+~P108(f330(f62(x78292),x78291))+~P108(f330(f330(f238(x78292),x78293),f353(x78293,x78291,x78292)))+P108(f330(f330(f238(x78292),x78293),f330(f64(x78292,f236(x78292)),x78291))) % 199.49/199.85 [7830]~P104(x78302)+E(x78301,f191(f935(x78302,a923)))+~P108(f330(f62(x78302),x78301))+~P108(f330(f330(f238(x78302),x78303),f389(x78303,x78301,x78302)))+P108(f330(f330(f238(x78302),x78303),f330(f64(x78302,f104(x78302)),x78301))) % 199.49/199.85 [7831]~P110(x78312)+E(x78311,f191(f935(x78312,a923)))+~P108(f330(f62(x78312),x78311))+~P108(f330(f330(f239(x78312),x78313),f354(x78313,x78311,x78312)))+P108(f330(f330(f239(x78312),x78313),f330(f64(x78312,f236(x78312)),x78311))) % 199.49/199.85 [7918]~P110(x79182)+E(x79181,f191(f935(x79182,a923)))+~P108(f330(f62(x79182),x79181))+P108(f330(f330(f332(x79182),f354(x79183,x79181,x79182)),x79181))+P108(f330(f330(f239(x79182),x79183),f330(f64(x79182,f236(x79182)),x79181))) % 199.49/199.85 [7919]~P110(x79192)+E(x79191,f191(f935(x79192,a923)))+~P108(f330(f62(x79192),x79191))+P108(f330(f330(f332(x79192),f353(x79193,x79191,x79192)),x79191))+P108(f330(f330(f238(x79192),x79193),f330(f64(x79192,f236(x79192)),x79191))) % 199.49/199.85 [7920]~P104(x79202)+E(x79201,f191(f935(x79202,a923)))+~P108(f330(f62(x79202),x79201))+P108(f330(f330(f332(x79202),f389(x79203,x79201,x79202)),x79201))+P108(f330(f330(f238(x79202),x79203),f330(f64(x79202,f104(x79202)),x79201))) % 199.49/199.85 [8039]~P110(x80392)+E(x80391,f191(f935(x80392,a923)))+E(f330(f330(f236(x80392),f11(x80392,f236(x80392),x80391)),f11(x80392,f236(x80392),x80393)),f11(x80392,f236(x80392),x80393))+~P108(f330(f62(x80392),x80393))+~P108(f330(f330(f238(f935(x80392,a923)),x80391),x80393)) % 199.49/199.85 [8040]~P110(x80402)+E(x80401,f191(f935(x80402,a923)))+E(f330(f330(f237(x80402),f12(x80402,f237(x80402),x80401)),f12(x80402,f237(x80402),x80403)),f12(x80402,f237(x80402),x80403))+~P108(f330(f62(x80402),x80403))+~P108(f330(f330(f238(f935(x80402,a923)),x80401),x80403)) % 199.49/199.85 [8238]~E(f537(x82381,x82383,x82382),f538(x82381,x82383,x82382))+~E(f330(f36(x82382),f539(x82381,x82383,x82382)),x82381)+E(f330(f330(f83(a928),x82381),f330(f36(f935(x82382,a923)),x82383)),f330(f36(x82382),f38(f935(x82382,a923),x82383)))+~P108(f330(f62(x82382),f38(f935(x82382,a923),x82383)))+~P108(f330(f62(f935(x82382,a923)),x82383)) % 199.49/199.85 [8417]~P110(x84172)+E(x84171,f191(f935(x84172,a923)))+~P108(f330(f62(x84172),x84173))+P108(f330(f330(f238(x84172),f330(f64(x84172,f236(x84172)),x84173)),f330(f64(x84172,f236(x84172)),x84171)))+~P108(f330(f330(f238(f935(x84172,a923)),x84171),x84173)) % 199.49/199.85 [8716]~E(f537(x87161,x87163,x87162),f538(x87161,x87163,x87162))+E(f330(f330(f83(a928),x87161),f330(f36(f935(x87162,a923)),x87163)),f330(f36(x87162),f38(f935(x87162,a923),x87163)))+P108(f330(f330(f332(f935(x87162,a923)),f539(x87161,x87163,x87162)),x87163))+~P108(f330(f62(x87162),f38(f935(x87162,a923),x87163)))+~P108(f330(f62(f935(x87162,a923)),x87163)) % 199.49/199.85 [8742]~E(f330(f36(x87422),f539(x87421,x87423,x87422)),x87421)+E(f330(f330(f83(a928),x87421),f330(f36(f935(x87422,a923)),x87423)),f330(f36(x87422),f38(f935(x87422,a923),x87423)))+P108(f330(f330(f332(f935(x87422,a923)),f538(x87421,x87423,x87422)),x87423))+~P108(f330(f62(x87422),f38(f935(x87422,a923),x87423)))+~P108(f330(f62(f935(x87422,a923)),x87423)) % 199.49/199.85 [8743]~E(f330(f36(x87432),f539(x87431,x87433,x87432)),x87431)+E(f330(f330(f83(a928),x87431),f330(f36(f935(x87432,a923)),x87433)),f330(f36(x87432),f38(f935(x87432,a923),x87433)))+P108(f330(f330(f332(f935(x87432,a923)),f537(x87431,x87433,x87432)),x87433))+~P108(f330(f62(x87432),f38(f935(x87432,a923),x87433)))+~P108(f330(f62(f935(x87432,a923)),x87433)) % 199.49/199.85 [8767]~E(f330(f36(x87672),f539(x87671,x87673,x87672)),x87671)+~E(f330(f330(f104(f935(x87672,a923)),f538(x87671,x87673,x87672)),f537(x87671,x87673,x87672)),f191(f935(x87672,a923)))+E(f330(f330(f83(a928),x87671),f330(f36(f935(x87672,a923)),x87673)),f330(f36(x87672),f38(f935(x87672,a923),x87673)))+~P108(f330(f62(f935(x87672,a923)),x87673))+~P108(f330(f62(x87672),f38(f935(x87672,a923),x87673))) % 199.49/199.85 [9031]E(f330(f330(f83(a928),x90311),f330(f36(f935(x90312,a923)),x90313)),f330(f36(x90312),f38(f935(x90312,a923),x90313)))+P108(f330(f330(f332(f935(x90312,a923)),f539(x90311,x90313,x90312)),x90313))+P108(f330(f330(f332(f935(x90312,a923)),f538(x90311,x90313,x90312)),x90313))+~P108(f330(f62(f935(x90312,a923)),x90313))+~P108(f330(f62(x90312),f38(f935(x90312,a923),x90313))) % 199.49/199.85 [9032]E(f330(f330(f83(a928),x90321),f330(f36(f935(x90322,a923)),x90323)),f330(f36(x90322),f38(f935(x90322,a923),x90323)))+P108(f330(f330(f332(f935(x90322,a923)),f539(x90321,x90323,x90322)),x90323))+P108(f330(f330(f332(f935(x90322,a923)),f537(x90321,x90323,x90322)),x90323))+~P108(f330(f62(f935(x90322,a923)),x90323))+~P108(f330(f62(x90322),f38(f935(x90322,a923),x90323))) % 199.49/199.85 [9058]~E(f330(f330(f104(f935(x90582,a923)),f538(x90581,x90583,x90582)),f537(x90581,x90583,x90582)),f191(f935(x90582,a923)))+E(f330(f330(f83(a928),x90581),f330(f36(f935(x90582,a923)),x90583)),f330(f36(x90582),f38(f935(x90582,a923),x90583)))+~P108(f330(f62(f935(x90582,a923)),x90583))+P108(f330(f330(f332(f935(x90582,a923)),f539(x90581,x90583,x90582)),x90583))+~P108(f330(f62(x90582),f38(f935(x90582,a923),x90583))) % 199.49/199.85 [9318]~P98(x93182)+E(x93181,f191(f935(x93182,a923)))+~E(f330(f330(f83(x93182),f330(x93183,f838(x93181,x93183,x93182))),f330(x93183,f845(x93181,x93183,x93182))),f330(x93183,f330(f330(f83(x93182),f838(x93181,x93183,x93182)),f845(x93181,x93183,x93182))))+~P108(f330(f62(x93182),x93181))+E(f330(f64(x93182,f83(x93182)),f330(f313(x93182,x93182,x93183),x93181)),f330(x93183,f330(f64(x93182,f83(x93182)),x93181))) % 199.49/199.85 [10242]P108(f330(f330(x102421,x102422),x102423))+P108(f330(f330(f239(a1),f375(x102421,x102423,x102422)),f376(x102421,x102423,x102422)))+P108(f330(f330(f238(a1),f376(x102421,x102423,x102422)),f2(a1)))+P108(f330(f330(x102421,f375(x102421,x102423,x102422)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f376(x102421,x102423,x102422))))+~P108(f330(f318(f934(a1,a1),a59),f330(f330(f255(a1,a1),x102422),x102423))) % 199.49/199.85 [10248]P108(f330(f330(x102481,x102482),x102483))+P108(f330(f330(f238(a1),f374(x102481,x102483,x102482)),f2(a1)))+P108(f330(f330(x102481,f373(x102481,x102483,x102482)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f374(x102481,x102483,x102482))))+P108(f330(f330(f238(a1),f2(a1)),f330(f330(f82(a1),f373(x102481,x102483,x102482)),f374(x102481,x102483,x102482))))+~P108(f330(f318(f934(a1,a1),a53),f330(f330(f255(a1,a1),x102482),x102483))) % 199.49/199.85 [8210]~P121(x82101)+~P108(f330(f330(f238(x82101),x82102),f80(x82101)))+~P108(f330(f330(f238(x82101),f2(x82101)),x82102))+~P108(f330(f330(f238(x82101),f2(x82101)),x82103))+P108(f330(f330(f238(x82101),f330(f330(f83(x82101),x82102),x82103)),x82103)) % 199.49/199.85 [8211]~P121(x82111)+~P108(f330(f330(f238(x82111),x82113),f80(x82111)))+~P108(f330(f330(f238(x82111),f2(x82111)),x82113))+~P108(f330(f330(f238(x82111),f2(x82111)),x82112))+P108(f330(f330(f238(x82111),f330(f330(f83(x82111),x82112),x82113)),x82112)) % 199.49/199.85 [8563]~P110(x85632)+E(x85631,f191(f935(x85632,a923)))+~P108(f330(f62(x85632),x85631))+P108(f330(f330(f238(x85632),f357(x85633,x85631,x85632)),x85633))+~P108(f330(f330(f238(x85632),f330(f64(x85632,f236(x85632)),x85631)),x85633)) % 199.49/199.85 [8564]~P110(x85642)+E(x85641,f191(f935(x85642,a923)))+~P108(f330(f62(x85642),x85641))+P108(f330(f330(f332(x85642),f355(x85643,x85641,x85642)),x85641))+~P108(f330(f330(f239(x85642),f330(f64(x85642,f236(x85642)),x85641)),x85643)) % 199.49/199.85 [8565]~P110(x85652)+E(x85651,f191(f935(x85652,a923)))+~P108(f330(f62(x85652),x85651))+P108(f330(f330(f332(x85652),f357(x85653,x85651,x85652)),x85651))+~P108(f330(f330(f238(x85652),f330(f64(x85652,f236(x85652)),x85651)),x85653)) % 199.49/199.85 [8566]~P110(x85662)+E(x85661,f191(f935(x85662,a923)))+~P108(f330(f62(x85662),x85661))+P108(f330(f330(f239(x85662),f355(x85663,x85661,x85662)),x85663))+~P108(f330(f330(f239(x85662),f330(f64(x85662,f236(x85662)),x85661)),x85663)) % 199.49/199.85 [8652]~P108(f330(x86521,x86523))+P108(f330(x86521,f470(x86521,x86522)))+P108(f330(x86521,f465(x86521,x86522)))+~P108(f330(f330(f239(a1),f2(a1)),x86522))+P108(f330(x86521,f330(f330(f23(a1),f465(x86521,x86522)),f330(f330(f83(a1),f471(x86521,x86522)),x86522)))) % 199.49/199.85 [8868]~P108(f330(x88681,x88683))+P108(f330(x88681,f465(x88681,x88682)))+~P108(f330(f330(f239(a1),f2(a1)),x88682))+P108(f330(f330(f332(a1),f470(x88681,x88682)),f306(a1,f80(a1),x88682)))+P108(f330(x88681,f330(f330(f23(a1),f465(x88681,x88682)),f330(f330(f83(a1),f471(x88681,x88682)),x88682)))) % 199.49/199.85 [9080]~P108(f330(x90801,x90803))+~P108(f330(x90801,f465(x90801,x90802)))+P108(f330(x90801,f470(x90801,x90802)))+~P108(f330(f330(f239(a1),f2(a1)),x90802))+~P108(f330(x90801,f330(f330(f23(a1),f465(x90801,x90802)),f330(f330(f83(a1),f471(x90801,x90802)),x90802)))) % 199.49/199.85 [9209]~P108(f330(x92091,x92093))+~P108(f330(x92091,f465(x92091,x92092)))+~P108(f330(f330(f239(a1),f2(a1)),x92092))+P108(f330(f330(f332(a1),f470(x92091,x92092)),f306(a1,f80(a1),x92092)))+~P108(f330(x92091,f330(f330(f23(a1),f465(x92091,x92092)),f330(f330(f83(a1),f471(x92091,x92092)),x92092)))) % 199.49/199.85 [8986]~P110(x89861)+~P108(f330(f62(x89861),x89862))+E(f330(f330(f23(f935(x89861,a923)),x89862),f330(f330(f312(x89861),x89863),f191(f935(x89861,a923)))),f191(f935(x89861,a923)))+~P108(f330(f330(f332(x89861),x89863),x89862))+E(f330(f330(f236(x89861),x89863),f14(x89861,f330(f330(f23(f935(x89861,a923)),x89862),f330(f330(f312(x89861),x89863),f191(f935(x89861,a923)))))),f14(x89861,x89862)) % 199.49/199.85 [8987]~P110(x89871)+~P108(f330(f62(x89871),x89872))+E(f330(f330(f23(f935(x89871,a923)),x89872),f330(f330(f312(x89871),x89873),f191(f935(x89871,a923)))),f191(f935(x89871,a923)))+~P108(f330(f330(f332(x89871),x89873),x89872))+E(f330(f330(f237(x89871),x89873),f15(x89871,f330(f330(f23(f935(x89871,a923)),x89872),f330(f330(f312(x89871),x89873),f191(f935(x89871,a923)))))),f15(x89871,x89872)) % 199.49/199.85 [8988]~P99(x89881)+~P108(f330(f62(x89881),x89882))+E(f330(f330(f23(f935(x89881,a923)),x89882),f330(f330(f312(x89881),x89883),f191(f935(x89881,a923)))),f191(f935(x89881,a923)))+~P108(f330(f330(f332(x89881),x89883),x89882))+E(f330(f330(f113(x89881),x89883),f13(x89881,f330(f330(f23(f935(x89881,a923)),x89882),f330(f330(f312(x89881),x89883),f191(f935(x89881,a923)))))),f13(x89881,x89882)) % 199.49/199.85 [8989]~P99(x89891)+~P108(f330(f62(x89891),x89892))+E(f330(f330(f23(f935(x89891,a923)),x89892),f330(f330(f312(x89891),x89893),f191(f935(x89891,a923)))),f191(f935(x89891,a923)))+~P108(f330(f330(f332(x89891),x89893),x89892))+E(f330(f330(f104(x89891),x89893),f10(x89891,f330(f330(f23(f935(x89891,a923)),x89892),f330(f330(f312(x89891),x89893),f191(f935(x89891,a923)))))),f10(x89891,x89892)) % 199.49/199.85 [9051]~P110(x90511)+~P108(f330(f62(x90511),x90512))+E(f330(f330(f23(f935(x90511,a923)),x90512),f330(f330(f312(x90511),x90513),f191(f935(x90511,a923)))),f191(f935(x90511,a923)))+~P108(f330(f330(f332(x90511),x90513),x90512))+E(f330(f330(f236(x90511),x90513),f11(x90511,f236(x90511),f330(f330(f23(f935(x90511,a923)),x90512),f330(f330(f312(x90511),x90513),f191(f935(x90511,a923)))))),f11(x90511,f236(x90511),x90512)) % 199.49/199.85 [9052]~P110(x90521)+~P108(f330(f62(x90521),x90522))+E(f330(f330(f23(f935(x90521,a923)),x90522),f330(f330(f312(x90521),x90523),f191(f935(x90521,a923)))),f191(f935(x90521,a923)))+~P108(f330(f330(f332(x90521),x90523),x90522))+E(f330(f330(f237(x90521),x90523),f12(x90521,f237(x90521),f330(f330(f23(f935(x90521,a923)),x90522),f330(f330(f312(x90521),x90523),f191(f935(x90521,a923)))))),f12(x90521,f237(x90521),x90522)) % 199.49/199.85 [9067]~P110(x90671)+~P108(f330(f62(x90671),x90673))+~P108(f330(f62(x90671),x90672))+E(f330(f330(f104(f935(x90671,a923)),x90672),x90673),f191(f935(x90671,a923)))+E(f330(f330(f236(x90671),f14(x90671,f330(f330(f113(f935(x90671,a923)),x90672),x90673))),f14(x90671,f330(f330(f104(f935(x90671,a923)),x90672),x90673))),f330(f330(f236(x90671),f14(x90671,x90672)),f14(x90671,x90673))) % 199.49/199.85 [9068]~P110(x90681)+~P108(f330(f62(x90681),x90683))+~P108(f330(f62(x90681),x90682))+E(f330(f330(f104(f935(x90681,a923)),x90682),x90683),f191(f935(x90681,a923)))+E(f330(f330(f237(x90681),f15(x90681,f330(f330(f113(f935(x90681,a923)),x90682),x90683))),f15(x90681,f330(f330(f104(f935(x90681,a923)),x90682),x90683))),f330(f330(f237(x90681),f15(x90681,x90682)),f15(x90681,x90683))) % 199.49/199.85 [9069]~P99(x90691)+~P108(f330(f62(x90691),x90693))+~P108(f330(f62(x90691),x90692))+E(f330(f330(f104(f935(x90691,a923)),x90692),x90693),f191(f935(x90691,a923)))+E(f330(f330(f104(x90691),f10(x90691,f330(f330(f113(f935(x90691,a923)),x90692),x90693))),f10(x90691,f330(f330(f104(f935(x90691,a923)),x90692),x90693))),f330(f330(f104(x90691),f10(x90691,x90692)),f10(x90691,x90693))) % 199.49/199.85 [9070]~P99(x90701)+~P108(f330(f62(x90701),x90703))+~P108(f330(f62(x90701),x90702))+E(f330(f330(f104(f935(x90701,a923)),x90702),x90703),f191(f935(x90701,a923)))+E(f330(f330(f113(x90701),f13(x90701,f330(f330(f113(f935(x90701,a923)),x90702),x90703))),f13(x90701,f330(f330(f104(f935(x90701,a923)),x90702),x90703))),f330(f330(f113(x90701),f13(x90701,x90702)),f13(x90701,x90703))) % 199.49/199.85 [9290]~P110(x92901)+~P108(f330(f62(x92901),x92903))+~P108(f330(f62(x92901),x92902))+E(f330(f330(f104(f935(x92901,a923)),x92902),x92903),f191(f935(x92901,a923)))+E(f330(f330(f236(x92901),f11(x92901,f236(x92901),f330(f330(f113(f935(x92901,a923)),x92902),x92903))),f11(x92901,f236(x92901),f330(f330(f104(f935(x92901,a923)),x92902),x92903))),f330(f330(f236(x92901),f11(x92901,f236(x92901),x92902)),f11(x92901,f236(x92901),x92903))) % 199.49/199.85 [9291]~P110(x92911)+~P108(f330(f62(x92911),x92913))+~P108(f330(f62(x92911),x92912))+E(f330(f330(f104(f935(x92911,a923)),x92912),x92913),f191(f935(x92911,a923)))+E(f330(f330(f237(x92911),f12(x92911,f237(x92911),f330(f330(f113(f935(x92911,a923)),x92912),x92913))),f12(x92911,f237(x92911),f330(f330(f104(f935(x92911,a923)),x92912),x92913))),f330(f330(f237(x92911),f12(x92911,f237(x92911),x92912)),f12(x92911,f237(x92911),x92913))) % 199.49/199.85 [10088]~P113(x100883)+E(x100881,x100882)+~P108(f330(f330(f238(x100883),f2(x100883)),x100882))+~P108(f330(f330(f238(x100883),f2(x100883)),x100881))+~E(f330(f330(f247(x100883),x100881),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f247(x100883),x100882),f330(f106(a928),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 199.49/199.85 [6144]~P63(x61442)+E(x61441,f2(x61442))+~E(f330(f330(f37(x61442),x61443),x61441),x61444)+E(x61443,f330(f330(f83(x61442),x61444),x61441))+~P108(f330(f330(f290(x61442),x61441),x61443)) % 199.49/199.85 [6145]~P63(x61452)+E(x61451,f2(x61452))+~E(x61453,f330(f330(f83(x61452),x61454),x61451))+E(f330(f330(f37(x61452),x61453),x61451),x61454)+~P108(f330(f330(f290(x61452),x61451),x61453)) % 199.49/199.85 [6610]E(f451(x66101,x66102,x66103),x66104)+E(f330(x66101,x66104),f2(a928))+~E(f330(f330(f6(x66103,a928),x66101),x66102),f80(a928))+~P108(f330(f62(x66103),x66102))+~P108(f330(f330(f332(x66103),x66104),x66102)) % 199.49/199.85 [6673]E(f477(x66731,x66732,x66733),x66734)+E(f330(x66731,x66734),f2(a928))+~E(f330(f330(f6(x66733,a928),x66731),x66732),f330(a115,f2(a928)))+~P108(f330(f62(x66733),x66732))+~P108(f330(f330(f332(x66733),x66734),x66732)) % 199.49/199.85 [6784]~P110(x67841)+~P5(x67841)+P108(f330(f330(f239(x67841),x67842),f38(x67841,x67843)))+~P108(f330(f330(f239(x67841),x67842),x67844))+~P108(f330(f330(f332(x67841),x67844),x67843)) % 199.49/199.85 [6956]~P110(x69561)+~P5(x69561)+~P108(f330(f330(f239(x69561),x69564),x69563))+P108(f330(f330(f239(x69561),f39(x69561,x69562)),x69563))+~P108(f330(f330(f332(x69561),x69564),x69562)) % 199.49/199.85 [7214]~P113(x72143)+E(x72141,x72142)+~E(f330(f330(f247(x72143),x72141),f330(a115,x72144)),f330(f330(f247(x72143),x72142),f330(a115,x72144)))+~P108(f330(f330(f238(x72143),f2(x72143)),x72142))+~P108(f330(f330(f238(x72143),f2(x72143)),x72141)) % 199.49/199.85 [7426]~E(f479(x74262,x74263,x74261,x74264),x74264)+~E(f330(x74262,x74264),f80(a928))+E(f330(f330(f6(x74261,a928),x74262),x74263),f80(a928))+~P108(f330(f62(x74261),x74263))+~P108(f330(f330(f332(x74261),x74264),x74263)) % 199.49/199.85 [7433]~P114(x74334)+~P139(x74334)+E(f330(x74331,f352(x74331,x74332,x74333,x74334)),f2(x74334))+~E(f330(f330(f9(x74333,x74334),x74331),x74332),f2(x74334))+~P108(f330(f62(x74333),x74332)) % 199.49/199.85 [7523]~E(f478(x75232,x75233,x75231,x75234),x75234)+~E(f330(x75232,x75234),f330(a115,f2(a928)))+E(f330(f330(f6(x75231,a928),x75232),x75233),f330(a115,f2(a928)))+~P108(f330(f62(x75231),x75233))+~P108(f330(f330(f332(x75231),x75234),x75233)) % 199.49/199.85 [8250]~E(f330(x82502,x82504),f80(a928))+~E(f330(x82502,f479(x82502,x82503,x82501,x82504)),f2(a928))+E(f330(f330(f6(x82501,a928),x82502),x82503),f80(a928))+~P108(f330(f62(x82501),x82503))+~P108(f330(f330(f332(x82501),x82504),x82503)) % 199.49/199.85 [8288]~E(f330(x82882,x82884),f330(a115,f2(a928)))+~E(f330(x82882,f478(x82882,x82883,x82881,x82884)),f2(a928))+E(f330(f330(f6(x82881,a928),x82882),x82883),f330(a115,f2(a928)))+~P108(f330(f62(x82881),x82883))+~P108(f330(f330(f332(x82881),x82884),x82883)) % 199.49/199.85 [8374]~P149(x83742)+~P124(x83742)+~P108(f330(x83741,x83744))+~P108(f330(f330(f290(x83742),x83743),f330(f330(f82(x83742),x83744),f2(x83742))))+P108(f330(x83741,f330(f330(f83(x83742),x83743),f872(x83743,x83741,x83742)))) % 199.49/199.85 [8835]~P110(x88351)+~P13(x88351,x88354)+P13(x88351,x88352)+~E(x88352,f330(f330(f154(x88351),x88353),x88354))+~P108(f330(f330(f238(x88351),x88353),f739(x88352,x88351,x88354,x88353))) % 199.49/199.85 [8872]E(x88721,x88722)+E(f330(f330(f23(a1),f438(x88723,x88722,x88724,x88721)),f439(x88723,x88722,x88724,x88721)),x88721)+~E(f330(f330(f82(a1),x88721),x88724),x88722)+~P108(f330(f330(f239(a1),f2(a1)),x88724))+~P108(f330(f330(f332(a1),x88722),x88723)) % 199.49/199.85 [8873]E(x88731,x88732)+E(f330(f330(f82(a1),f455(x88733,x88732,x88734,x88731)),f456(x88733,x88732,x88734,x88731)),x88731)+~E(f330(f330(f23(a1),x88731),x88734),x88732)+~P108(f330(f330(f239(a1),f2(a1)),x88734))+~P108(f330(f330(f332(a1),x88732),x88733)) % 199.49/199.85 [9065]E(f330(x90651,f643(x90652,x90651,x90653,x90654)),x90652)+P108(f330(f330(f238(a928),x90654),f644(x90652,x90651,x90653,x90654)))+~P108(f330(f330(f238(a1),x90652),f330(x90651,x90653)))+~P108(f330(f330(f239(a928),x90654),x90653))+~P108(f330(f330(f238(a1),f330(x90651,x90654)),x90652)) % 199.49/199.85 [9066]~P110(x90661)+~P13(x90661,x90663)+P13(x90661,x90662)+~E(x90662,f330(f330(f154(x90661),x90664),x90663))+P108(f330(f330(f332(x90661),f739(x90662,x90661,x90663,x90664)),f330(f175(x90661),x90663))) % 199.49/199.85 [9084]~P114(x90844)+~P139(x90844)+~E(f330(f330(f9(x90841,x90844),x90842),x90843),f2(x90844))+~P108(f330(f62(x90841),x90843))+P108(f330(f330(f332(x90841),f352(x90842,x90843,x90841,x90844)),x90843)) % 199.49/199.85 [9122]~E(f330(x91222,x91224),f80(a928))+E(f330(f330(f6(x91221,a928),x91222),x91223),f80(a928))+~P108(f330(f62(x91221),x91223))+~P108(f330(f330(f332(x91221),x91224),x91223))+P108(f330(f330(f332(x91221),f479(x91222,x91223,x91221,x91224)),x91223)) % 199.49/199.85 [9134]E(x91341,x91342)+~E(f330(f330(f82(a1),x91342),x91344),x91341)+~P108(f330(f330(f239(a1),f2(a1)),x91344))+~P108(f330(f330(f332(a1),x91341),x91343))+P108(f330(f330(f332(a1),f438(x91343,x91341,x91344,x91342)),x91343)) % 199.49/199.85 [9135]E(x91351,x91352)+~E(f330(f330(f23(a1),x91352),x91354),x91351)+~P108(f330(f330(f239(a1),f2(a1)),x91354))+~P108(f330(f330(f332(a1),x91351),x91353))+P108(f330(f330(f332(a1),f455(x91353,x91351,x91354,x91352)),x91353)) % 199.49/199.85 [9137]~E(f330(x91372,x91374),f330(a115,f2(a928)))+E(f330(f330(f6(x91371,a928),x91372),x91373),f330(a115,f2(a928)))+~P108(f330(f62(x91371),x91373))+~P108(f330(f330(f332(x91371),x91374),x91373))+P108(f330(f330(f332(x91371),f478(x91372,x91373,x91371,x91374)),x91373)) % 199.49/199.85 [9142]P61(x91422,x91423,x91424,x91421)+E(x91421,f191(f935(x91422,a923)))+~P108(f330(f62(x91422),x91424))+~P108(f330(f62(x91422),x91421))+P108(f330(f330(f332(x91422),f808(x91423,x91421,x91424,x91422)),x91424)) % 199.49/199.85 [9143]P61(x91432,x91433,x91434,x91431)+E(x91431,f191(f935(x91432,a923)))+~P108(f330(f62(x91432),x91434))+~P108(f330(f62(x91432),x91431))+P108(f330(f330(f332(x91432),f521(x91431,x91434,x91433,x91432)),x91434)) % 199.49/199.85 [9144]P61(x91442,x91443,x91444,x91441)+E(x91441,f191(f935(x91442,a923)))+~P108(f330(f62(x91442),x91444))+~P108(f330(f62(x91442),x91441))+P108(f330(f330(f332(x91442),f809(x91441,x91444,x91443,x91442)),x91444)) % 199.49/199.85 [9222]E(x92221,x92222)+~E(f330(f330(f82(a1),x92222),x92224),x92221)+~P108(f330(f330(f239(a1),f2(a1)),x92224))+~P108(f330(f330(f332(a1),x92221),x92223))+P108(f330(f330(f332(a1),f439(x92223,x92221,x92224,x92222)),f306(a1,f80(a1),x92224))) % 199.49/199.85 [9223]E(x92231,x92232)+~E(f330(f330(f23(a1),x92232),x92234),x92231)+~P108(f330(f330(f239(a1),f2(a1)),x92234))+~P108(f330(f330(f332(a1),x92231),x92233))+P108(f330(f330(f332(a1),f456(x92233,x92231,x92234,x92232)),f306(a1,f80(a1),x92234))) % 199.49/199.85 [9296]P108(f330(f330(f238(a928),x92961),f643(x92962,x92963,x92964,x92961)))+~P108(f330(f330(f238(a1),x92962),f330(x92963,x92964)))+P108(f330(f330(f238(a928),x92961),f644(x92962,x92963,x92964,x92961)))+~P108(f330(f330(f239(a928),x92961),x92964))+~P108(f330(f330(f238(a1),f330(x92963,x92961)),x92962)) % 199.49/199.85 [9411]E(f330(x94111,f643(x94112,x94111,x94113,x94114)),x94112)+~P108(f330(f330(f238(a1),x94112),f330(x94111,x94113)))+P108(f330(f330(f239(a928),f644(x94112,x94111,x94113,x94114)),x94113))+~P108(f330(f330(f239(a928),x94114),x94113))+~P108(f330(f330(f238(a1),f330(x94111,x94114)),x94112)) % 199.49/199.85 [9539]~P108(f330(f330(f238(a1),x95392),f330(x95393,x95394)))+P108(f330(f330(f238(a928),x95391),f644(x95392,x95393,x95394,x95391)))+P108(f330(f330(f238(a928),f643(x95392,x95393,x95394,x95391)),x95394))+~P108(f330(f330(f239(a928),x95391),x95394))+~P108(f330(f330(f238(a1),f330(x95393,x95391)),x95392)) % 199.49/199.85 [9540]~P108(f330(f330(f238(a1),x95402),f330(x95403,x95404)))+P108(f330(f330(f238(a928),x95401),f643(x95402,x95403,x95404,x95401)))+P108(f330(f330(f239(a928),f644(x95402,x95403,x95404,x95401)),x95404))+~P108(f330(f330(f239(a928),x95401),x95404))+~P108(f330(f330(f238(a1),f330(x95403,x95401)),x95402)) % 199.49/199.85 [9648]~P108(f330(f330(f238(a1),x96481),f330(x96482,x96483)))+P108(f330(f330(f239(a928),f644(x96481,x96482,x96483,x96484)),x96483))+~P108(f330(f330(f239(a928),x96484),x96483))+~P108(f330(f330(f238(a1),f330(x96482,x96484)),x96481))+P108(f330(f330(f238(a928),f643(x96481,x96482,x96483,x96484)),x96483)) % 199.49/199.85 [9734]E(x97341,f191(f935(x97342,a923)))+~P108(f330(f62(x97342),x97344))+~P108(f330(f62(x97342),x97341))+P108(f330(f330(f332(f934(f935(x97342,a923),f935(x97342,a923))),f330(f330(f255(f935(x97342,a923),f935(x97342,a923)),x97344),x97341)),f321(x97342,x97343)))+P108(f330(f330(f332(x97342),f531(x97343,x97341,x97344,x97342)),x97344)) % 199.49/199.85 [9735]E(x97351,f191(f935(x97352,a923)))+~P108(f330(f62(x97352),x97354))+~P108(f330(f62(x97352),x97351))+P108(f330(f330(f332(f934(f935(x97352,a923),f935(x97352,a923))),f330(f330(f255(f935(x97352,a923),f935(x97352,a923)),x97354),x97351)),f321(x97352,x97353)))+P108(f330(f330(f332(x97352),f606(x97353,x97351,x97354,x97352)),x97354)) % 199.49/199.85 [10398]E(f330(x103981,f643(x103982,x103981,x103983,x103984)),x103982)+~P108(f330(f330(f238(a1),x103982),f330(x103981,x103983)))+~P108(f330(f330(f238(a1),f330(f77(a1),f330(f330(f23(a1),f330(x103981,f330(f330(f82(a928),f644(x103982,x103981,x103983,x103984)),f80(a928)))),f330(x103981,f644(x103982,x103981,x103983,x103984))))),f80(a1)))+~P108(f330(f330(f239(a928),x103984),x103983))+~P108(f330(f330(f238(a1),f330(x103981,x103984)),x103982)) % 199.49/199.85 [10399]~P108(f330(f330(f238(a1),x103992),f330(x103993,x103994)))+P108(f330(f330(f238(a928),x103991),f643(x103992,x103993,x103994,x103991)))+~P108(f330(f330(f238(a1),f330(f77(a1),f330(f330(f23(a1),f330(x103993,f330(f330(f82(a928),f644(x103992,x103993,x103994,x103991)),f80(a928)))),f330(x103993,f644(x103992,x103993,x103994,x103991))))),f80(a1)))+~P108(f330(f330(f239(a928),x103991),x103994))+~P108(f330(f330(f238(a1),f330(x103993,x103991)),x103992)) % 199.49/199.85 [10400]~P108(f330(f330(f238(a1),x104001),f330(x104002,x104003)))+~P108(f330(f330(f238(a1),f330(f77(a1),f330(f330(f23(a1),f330(x104002,f330(f330(f82(a928),f644(x104001,x104002,x104003,x104004)),f80(a928)))),f330(x104002,f644(x104001,x104002,x104003,x104004))))),f80(a1)))+~P108(f330(f330(f239(a928),x104004),x104003))+~P108(f330(f330(f238(a1),f330(x104002,x104004)),x104001))+P108(f330(f330(f238(a928),f643(x104001,x104002,x104003,x104004)),x104003)) % 199.49/199.85 [7486]~P68(x74861)+P108(f330(f330(f239(x74861),x74862),f2(x74861)))+~P108(f330(f330(f238(x74861),x74863),f2(x74861)))+P108(f330(f330(f239(x74861),f2(x74861)),x74862))+P108(f330(f330(f238(x74861),x74863),f330(f330(f294(x74861),x74864),x74862))) % 199.49/199.85 [7487]~P68(x74871)+P108(f330(f330(f239(x74871),x74872),f2(x74871)))+~P108(f330(f330(f239(x74871),x74873),f2(x74871)))+P108(f330(f330(f239(x74871),f2(x74871)),x74872))+P108(f330(f330(f239(x74871),x74873),f330(f330(f294(x74871),x74874),x74872))) % 199.49/199.85 [7732]~P68(x77321)+P108(f330(f330(f238(x77321),x77322),f2(x77321)))+P108(f330(f330(f239(x77321),x77323),f2(x77321)))+P108(f330(f330(f239(x77321),f2(x77321)),x77323))+~P108(f330(f330(f238(x77321),x77322),f330(f330(f294(x77321),x77324),x77323))) % 199.49/199.85 [7733]~P68(x77331)+P108(f330(f330(f239(x77331),x77332),f2(x77331)))+P108(f330(f330(f239(x77331),x77333),f2(x77331)))+P108(f330(f330(f239(x77331),f2(x77331)),x77333))+~P108(f330(f330(f239(x77331),x77332),f330(f330(f294(x77331),x77334),x77333))) % 199.49/199.85 [7850]E(x78501,x78502)+~E(f330(f330(f167(x78503),x78504),x78501),f330(f330(f167(x78503),x78504),x78502))+~P108(f330(f140(x78503),x78504))+~P108(f330(f330(f239(a928),x78502),f330(f192(f929(x78503)),x78504)))+~P108(f330(f330(f239(a928),x78501),f330(f192(f929(x78503)),x78504))) % 199.49/199.85 [8212]~P68(x82121)+~P108(f330(f330(f238(x82121),x82123),f2(x82121)))+P108(f330(f330(f239(x82121),f2(x82121)),x82122))+~P108(f330(f330(f238(x82121),x82124),f330(f330(f83(x82121),x82123),x82122)))+P108(f330(f330(f238(x82121),x82123),f330(f330(f294(x82121),x82124),x82122))) % 199.49/199.85 [8213]~P68(x82131)+~P108(f330(f330(f239(x82131),x82133),f2(x82131)))+P108(f330(f330(f239(x82131),f2(x82131)),x82132))+~P108(f330(f330(f239(x82131),x82134),f330(f330(f83(x82131),x82133),x82132)))+P108(f330(f330(f239(x82131),x82133),f330(f330(f294(x82131),x82134),x82132))) % 199.49/199.85 [8214]~P68(x82141)+~P108(f330(f330(f239(x82141),x82142),f2(x82141)))+P108(f330(f330(f239(x82141),f2(x82141)),x82142))+~P108(f330(f330(f238(x82141),x82144),f330(f330(f83(x82141),x82143),x82142)))+P108(f330(f330(f238(x82141),x82143),f330(f330(f294(x82141),x82144),x82142))) % 199.49/199.85 [8215]~P68(x82151)+~P108(f330(f330(f239(x82151),x82152),f2(x82151)))+P108(f330(f330(f239(x82151),f2(x82151)),x82152))+~P108(f330(f330(f238(x82151),x82154),f330(f330(f294(x82151),x82153),x82152)))+P108(f330(f330(f238(x82151),x82153),f330(f330(f83(x82151),x82154),x82152))) % 199.49/199.85 [8216]~P68(x82161)+~P108(f330(f330(f239(x82161),x82162),f2(x82161)))+P108(f330(f330(f239(x82161),f2(x82161)),x82162))+~P108(f330(f330(f239(x82161),x82164),f330(f330(f83(x82161),x82163),x82162)))+P108(f330(f330(f239(x82161),x82163),f330(f330(f294(x82161),x82164),x82162))) % 199.49/199.85 [8217]~P68(x82171)+~P108(f330(f330(f239(x82171),x82172),f2(x82171)))+P108(f330(f330(f239(x82171),f2(x82171)),x82172))+~P108(f330(f330(f239(x82171),x82174),f330(f330(f294(x82171),x82173),x82172)))+P108(f330(f330(f239(x82171),x82173),f330(f330(f83(x82171),x82174),x82172))) % 199.49/199.85 [8356]~P110(x83561)+~P13(x83561,x83562)+~P108(f330(f330(f238(a928),x83563),x83564))+P108(f330(f330(f238(x83561),f330(f330(f167(x83561),x83562),x83563)),f330(f330(f167(x83561),x83562),x83564)))+~P108(f330(f330(f239(a928),x83564),f330(f192(f929(x83561)),x83562))) % 199.49/199.85 [8408]~P113(x84081)+~P108(f330(f330(f238(x84081),x84082),f80(x84081)))+~P108(f330(f330(f238(x84081),f2(x84081)),x84082))+~P108(f330(f330(f238(a928),x84084),x84083))+P108(f330(f330(f238(x84081),f330(f330(f247(x84081),x84082),x84083)),f330(f330(f247(x84081),x84082),x84084))) % 199.49/199.85 [8409]~P113(x84091)+~P108(f330(f330(f239(x84091),x84092),f80(x84091)))+~P108(f330(f330(f239(x84091),f2(x84091)),x84092))+~P108(f330(f330(f239(a928),x84094),x84093))+P108(f330(f330(f239(x84091),f330(f330(f247(x84091),x84092),x84093)),f330(f330(f247(x84091),x84092),x84094))) % 199.49/199.85 [8410]~P113(x84101)+~P108(f330(f330(f238(x84101),f2(x84101)),x84102))+~P108(f330(f330(f239(a928),f2(a928)),x84103))+~P108(f330(f330(f239(x84101),x84102),x84104))+P108(f330(f330(f239(x84101),f330(f330(f247(x84101),x84102),x84103)),f330(f330(f247(x84101),x84104),x84103))) % 199.49/199.85 [8428]~P110(x84281)+~P13(x84281,f330(f171(x84281),x84282))+~P108(f330(f330(f238(a928),x84284),x84283))+P108(f330(f330(f238(x84281),f330(f330(f167(x84281),x84282),x84283)),f330(f330(f167(x84281),x84282),x84284)))+~P108(f330(f330(f239(a928),x84283),f330(f192(f929(x84281)),x84282))) % 199.49/199.85 [8673]~P68(x86731)+~P108(f330(f330(f238(x86731),x86732),f2(x86731)))+~P108(f330(f330(f238(x86731),x86733),x86734))+~P108(f330(f330(f239(x86731),f2(x86731)),f330(f330(f83(x86731),x86733),x86734)))+P108(f330(f330(f238(x86731),f330(f330(f294(x86731),x86732),x86733)),f330(f330(f294(x86731),x86732),x86734))) % 199.49/199.85 [8674]~P69(x86741)+~P108(f330(f330(f239(x86741),x86742),f2(x86741)))+~P108(f330(f330(f239(x86741),x86743),x86744))+~P108(f330(f330(f239(x86741),f2(x86741)),f330(f330(f83(x86741),x86743),x86744)))+P108(f330(f330(f239(x86741),f330(f330(f294(x86741),x86742),x86743)),f330(f330(f294(x86741),x86742),x86744))) % 199.49/199.85 [8683]~P69(x86831)+~P108(f330(f330(f238(x86831),x86834),x86833))+~P108(f330(f330(f238(x86831),f2(x86831)),x86832))+~P108(f330(f330(f239(x86831),f2(x86831)),f330(f330(f83(x86831),x86833),x86834)))+P108(f330(f330(f238(x86831),f330(f330(f294(x86831),x86832),x86833)),f330(f330(f294(x86831),x86832),x86834))) % 199.49/199.85 [8684]~P69(x86841)+~P108(f330(f330(f239(x86841),x86844),x86843))+~P108(f330(f330(f239(x86841),f2(x86841)),x86842))+~P108(f330(f330(f239(x86841),f2(x86841)),f330(f330(f83(x86841),x86843),x86844)))+P108(f330(f330(f239(x86841),f330(f330(f294(x86841),x86842),x86843)),f330(f330(f294(x86841),x86842),x86844))) % 199.49/199.85 [8783]P108(f330(x87831,x87832))+~P108(f330(f62(x87834),x87832))+P108(f330(x87831,f625(x87831,x87833,x87832,x87834)))+~P108(f330(x87831,f191(f935(x87834,a923))))+~P108(f330(f330(f238(f935(x87834,a923)),x87832),x87833)) % 199.49/199.85 [8792]P108(f330(x87921,x87922))+P108(f330(f62(x87923),f625(x87921,x87924,x87922,x87923)))+~P108(f330(f62(x87923),x87922))+~P108(f330(x87921,f191(f935(x87923,a923))))+~P108(f330(f330(f238(f935(x87923,a923)),x87922),x87924)) % 199.49/199.85 [9060]E(f330(f330(f82(a1),f457(x90601,x90602,x90603,x90604)),f458(x90601,x90602,x90603,x90604)),x90604)+~P108(f330(f330(f239(a1),f2(a1)),x90603))+~P108(f330(f330(f239(a1),x90602),x90604))+~P108(f330(f330(f332(a1),x90602),x90601))+P108(f330(f330(f239(a1),x90602),f330(f330(f23(a1),x90604),x90603))) % 199.49/199.85 [9278]~P108(f330(f330(f239(a1),f2(a1)),x92783))+~P108(f330(f330(f239(a1),x92782),x92784))+~P108(f330(f330(f332(a1),x92782),x92781))+P108(f330(f330(f332(a1),f457(x92781,x92782,x92783,x92784)),x92781))+P108(f330(f330(f239(a1),x92782),f330(f330(f23(a1),x92784),x92783))) % 199.49/199.85 [9289]P108(f330(x92891,x92892))+~P108(f330(f62(x92893),x92892))+P108(f330(f330(f332(x92893),f611(x92891,x92894,x92892,x92893)),x92894))+~P108(f330(x92891,f191(f935(x92893,a923))))+~P108(f330(f330(f238(f935(x92893,a923)),x92892),x92894)) % 199.49/199.85 [9306]E(f330(f330(f82(a1),f440(x93061,x93062,x93063,x93064)),f441(x93061,x93062,x93063,x93064)),x93064)+~P108(f330(f330(f239(a1),f2(a1)),x93063))+~P108(f330(f330(f238(a1),x93062),x93064))+P108(f330(f330(f238(a1),x93062),f330(f330(f23(a1),x93064),x93063)))+~P108(f330(f330(f332(a1),f330(f330(f23(a1),x93062),f80(a1))),x93061)) % 199.49/199.85 [9361]~P108(f330(f330(f239(a1),f2(a1)),x93613))+~P108(f330(f330(f239(a1),x93611),x93612))+~P108(f330(f330(f332(a1),x93611),x93614))+P108(f330(f330(f332(a1),f458(x93614,x93611,x93613,x93612)),f306(a1,f80(a1),x93613)))+P108(f330(f330(f239(a1),x93611),f330(f330(f23(a1),x93612),x93613))) % 199.49/199.85 [9387]~P76(x93872)+~E(f789(x93873,x93874,x93871,x93872),f790(x93873,x93874,x93871,x93872))+~P108(f330(f62(x93871),f791(x93873,x93874,x93871,x93872)))+E(f330(f330(f6(f935(x93871,a923),x93872),f330(f6(x93871,x93872),x93873)),x93874),f330(f330(f6(x93871,x93872),x93873),f38(f935(x93871,a923),x93874)))+~P108(f330(f62(f935(x93871,a923)),x93874)) % 199.49/199.85 [9391]~P76(x93912)+~E(f330(x93913,f792(x93913,x93914,x93911,x93912)),f2(x93912))+~P108(f330(f62(x93911),f791(x93913,x93914,x93911,x93912)))+E(f330(f330(f6(f935(x93911,a923),x93912),f330(f6(x93911,x93912),x93913)),x93914),f330(f330(f6(x93911,x93912),x93913),f38(f935(x93911,a923),x93914)))+~P108(f330(f62(f935(x93911,a923)),x93914)) % 199.49/199.85 [9454]~P108(f330(f330(f239(a1),f2(a1)),x94543))+~P108(f330(f330(f238(a1),x94542),x94544))+P108(f330(f330(f332(a1),f440(x94541,x94542,x94543,x94544)),x94541))+P108(f330(f330(f238(a1),x94542),f330(f330(f23(a1),x94544),x94543)))+~P108(f330(f330(f332(a1),f330(f330(f23(a1),x94542),f80(a1))),x94541)) % 199.49/199.85 [9498]~P108(f330(f330(f239(a1),f2(a1)),x94983))+~P108(f330(f330(f238(a1),x94981),x94982))+P108(f330(f330(f332(a1),f441(x94984,x94981,x94983,x94982)),f306(a1,f80(a1),x94983)))+P108(f330(f330(f238(a1),x94981),f330(f330(f23(a1),x94982),x94983)))+~P108(f330(f330(f332(a1),f330(f330(f23(a1),x94981),f80(a1))),x94984)) % 199.49/199.85 [9519]~P76(x95192)+~E(f789(x95193,x95194,x95191,x95192),f790(x95193,x95194,x95191,x95192))+E(f330(f330(f6(f935(x95191,a923),x95192),f330(f6(x95191,x95192),x95193)),x95194),f330(f330(f6(x95191,x95192),x95193),f38(f935(x95191,a923),x95194)))+P108(f330(f330(f332(f935(x95191,a923)),f791(x95193,x95194,x95191,x95192)),x95194))+~P108(f330(f62(f935(x95191,a923)),x95194)) % 199.49/199.85 [9524]~P76(x95242)+~E(f330(x95243,f792(x95243,x95244,x95241,x95242)),f2(x95242))+E(f330(f330(f6(f935(x95241,a923),x95242),f330(f6(x95241,x95242),x95243)),x95244),f330(f330(f6(x95241,x95242),x95243),f38(f935(x95241,a923),x95244)))+P108(f330(f330(f332(f935(x95241,a923)),f791(x95243,x95244,x95241,x95242)),x95244))+~P108(f330(f62(f935(x95241,a923)),x95244)) % 199.49/199.85 [9625]~P76(x96252)+~P108(f330(f62(x96251),f791(x96253,x96254,x96251,x96252)))+E(f330(f330(f6(f935(x96251,a923),x96252),f330(f6(x96251,x96252),x96253)),x96254),f330(f330(f6(x96251,x96252),x96253),f38(f935(x96251,a923),x96254)))+P108(f330(f330(f332(f935(x96251,a923)),f790(x96253,x96254,x96251,x96252)),x96254))+~P108(f330(f62(f935(x96251,a923)),x96254)) % 199.49/199.85 [9626]~P76(x96262)+~P108(f330(f62(x96261),f791(x96263,x96264,x96261,x96262)))+E(f330(f330(f6(f935(x96261,a923),x96262),f330(f6(x96261,x96262),x96263)),x96264),f330(f330(f6(x96261,x96262),x96263),f38(f935(x96261,a923),x96264)))+P108(f330(f330(f332(f935(x96261,a923)),f789(x96263,x96264,x96261,x96262)),x96264))+~P108(f330(f62(f935(x96261,a923)),x96264)) % 199.49/199.85 [9705]~P76(x97052)+E(f330(f330(f6(f935(x97051,a923),x97052),f330(f6(x97051,x97052),x97053)),x97054),f330(f330(f6(x97051,x97052),x97053),f38(f935(x97051,a923),x97054)))+P108(f330(f330(f332(f935(x97051,a923)),f791(x97053,x97054,x97051,x97052)),x97054))+P108(f330(f330(f332(f935(x97051,a923)),f790(x97053,x97054,x97051,x97052)),x97054))+~P108(f330(f62(f935(x97051,a923)),x97054)) % 199.49/199.85 [9706]~P76(x97062)+E(f330(f330(f6(f935(x97061,a923),x97062),f330(f6(x97061,x97062),x97063)),x97064),f330(f330(f6(x97061,x97062),x97063),f38(f935(x97061,a923),x97064)))+P108(f330(f330(f332(f935(x97061,a923)),f791(x97063,x97064,x97061,x97062)),x97064))+P108(f330(f330(f332(f935(x97061,a923)),f789(x97063,x97064,x97061,x97062)),x97064))+~P108(f330(f62(f935(x97061,a923)),x97064)) % 199.49/199.85 [9723]~P76(x97232)+P108(f330(f330(f332(x97231),f792(x97233,x97234,x97231,x97232)),f790(x97233,x97234,x97231,x97232)))+~P108(f330(f62(x97231),f791(x97233,x97234,x97231,x97232)))+E(f330(f330(f6(f935(x97231,a923),x97232),f330(f6(x97231,x97232),x97233)),x97234),f330(f330(f6(x97231,x97232),x97233),f38(f935(x97231,a923),x97234)))+~P108(f330(f62(f935(x97231,a923)),x97234)) % 199.49/199.85 [9724]~P76(x97242)+P108(f330(f330(f332(x97241),f792(x97243,x97244,x97241,x97242)),f789(x97243,x97244,x97241,x97242)))+~P108(f330(f62(x97241),f791(x97243,x97244,x97241,x97242)))+E(f330(f330(f6(f935(x97241,a923),x97242),f330(f6(x97241,x97242),x97243)),x97244),f330(f330(f6(x97241,x97242),x97243),f38(f935(x97241,a923),x97244)))+~P108(f330(f62(f935(x97241,a923)),x97244)) % 199.49/199.85 [9737]P108(f330(x97371,x97372))+~P108(f330(f330(f332(x97373),f611(x97371,x97374,x97372,x97373)),f625(x97371,x97374,x97372,x97373)))+~P108(f330(f62(x97373),x97372))+~P108(f330(x97371,f191(f935(x97373,a923))))+~P108(f330(f330(f238(f935(x97373,a923)),x97372),x97374)) % 199.49/199.85 [9775]~P76(x97752)+P108(f330(f330(f332(x97751),f792(x97753,x97754,x97751,x97752)),f790(x97753,x97754,x97751,x97752)))+E(f330(f330(f6(f935(x97751,a923),x97752),f330(f6(x97751,x97752),x97753)),x97754),f330(f330(f6(x97751,x97752),x97753),f38(f935(x97751,a923),x97754)))+P108(f330(f330(f332(f935(x97751,a923)),f791(x97753,x97754,x97751,x97752)),x97754))+~P108(f330(f62(f935(x97751,a923)),x97754)) % 199.49/199.85 [9776]~P76(x97762)+P108(f330(f330(f332(x97761),f792(x97763,x97764,x97761,x97762)),f789(x97763,x97764,x97761,x97762)))+E(f330(f330(f6(f935(x97761,a923),x97762),f330(f6(x97761,x97762),x97763)),x97764),f330(f330(f6(x97761,x97762),x97763),f38(f935(x97761,a923),x97764)))+P108(f330(f330(f332(f935(x97761,a923)),f791(x97763,x97764,x97761,x97762)),x97764))+~P108(f330(f62(f935(x97761,a923)),x97764)) % 199.49/199.85 [9951]P108(f330(x99511,x99512))+~P108(f330(f62(x99513),x99512))+~P108(f330(x99511,f330(f330(f312(x99513),f611(x99511,x99514,x99512,x99513)),f625(x99511,x99514,x99512,x99513))))+~P108(f330(x99511,f191(f935(x99513,a923))))+~P108(f330(f330(f238(f935(x99513,a923)),x99512),x99514)) % 199.49/199.85 [7984]~P68(x79841)+P108(f330(f330(f239(x79841),x79842),f2(x79841)))+~P108(f330(f330(f238(x79841),f2(x79841)),x79844))+P108(f330(f330(f239(x79841),f2(x79841)),x79842))+P108(f330(f330(f238(x79841),f330(f330(f294(x79841),x79843),x79842)),x79844)) % 199.49/199.85 [7985]~P68(x79851)+P108(f330(f330(f239(x79851),x79852),f2(x79851)))+P108(f330(f330(f239(x79851),f2(x79851)),x79852))+~P108(f330(f330(f239(x79851),f2(x79851)),x79854))+P108(f330(f330(f239(x79851),f330(f330(f294(x79851),x79853),x79852)),x79854)) % 199.49/199.85 [8263]~P108(f330(f330(f238(a1),x82634),f2(a1)))+~E(x82632,f330(f330(f82(a1),f330(f330(f83(a1),x82631),x82633)),x82634))+P108(f330(f330(f239(a1),f2(a1)),x82631))+~P108(f330(f330(f239(a1),x82631),x82634))+P108(f330(f50(x82632,x82631),f330(f330(f255(a1,a1),x82633),x82634))) % 199.49/199.85 [8297]~P108(f330(x82971,x82974))+P108(f330(x82971,f915(x82972,x82971,x82973)))+~P108(f330(f330(f238(a1),f2(a1)),x82972))+~P108(f330(f330(f239(a1),f2(a1)),x82973))+P108(f330(x82971,f330(f330(f23(a1),x82974),f330(f330(f83(a1),x82972),x82973)))) % 199.49/199.85 [8298]~P108(f330(x82981,x82984))+P108(f330(x82981,f917(x82982,x82981,x82983)))+~P108(f330(f330(f238(a1),f2(a1)),x82982))+~P108(f330(f330(f239(a1),f2(a1)),x82983))+P108(f330(x82981,f330(f330(f82(a1),x82984),f330(f330(f83(a1),x82982),x82983)))) % 199.49/199.85 [8299]~P68(x82991)+P108(f330(f330(f239(x82991),x82992),f2(x82991)))+P108(f330(f330(f239(x82991),f2(x82991)),x82992))+P108(f330(f330(f238(x82991),f2(x82991)),x82993))+~P108(f330(f330(f238(x82991),f330(f330(f294(x82991),x82994),x82992)),x82993)) % 199.49/199.85 [8300]~P68(x83001)+P108(f330(f330(f239(x83001),x83002),f2(x83001)))+P108(f330(f330(f239(x83001),f2(x83001)),x83002))+P108(f330(f330(f239(x83001),f2(x83001)),x83003))+~P108(f330(f330(f239(x83001),f330(f330(f294(x83001),x83004),x83002)),x83003)) % 199.49/199.85 [8351]~E(x83511,f330(f330(f82(a1),f330(f330(f83(a1),x83512),x83513)),x83514))+~P108(f330(f330(f238(a1),f2(a1)),x83514))+~P108(f330(f330(f239(a1),f2(a1)),x83512))+~P108(f330(f330(f239(a1),x83514),x83512))+P108(f330(f50(x83511,x83512),f330(f330(f255(a1,a1),x83513),x83514))) % 199.49/199.85 [8467]~P68(x84671)+P108(f330(f330(f239(x84671),x84672),f2(x84671)))+~P108(f330(f330(f238(x84671),f2(x84671)),x84674))+~P108(f330(f330(f238(x84671),x84673),f330(f330(f83(x84671),x84674),x84672)))+P108(f330(f330(f238(x84671),f330(f330(f294(x84671),x84673),x84672)),x84674)) % 199.49/199.85 [8468]~P68(x84681)+P108(f330(f330(f239(x84681),x84682),f2(x84681)))+~P108(f330(f330(f239(x84681),f2(x84681)),x84684))+~P108(f330(f330(f239(x84681),x84683),f330(f330(f83(x84681),x84684),x84682)))+P108(f330(f330(f239(x84681),f330(f330(f294(x84681),x84683),x84682)),x84684)) % 199.49/199.85 [8553]~P68(x85531)+P108(f330(f330(f239(x85531),x85532),f2(x85531)))+~P108(f330(f330(f238(x85531),x85533),f2(x85531)))+P108(f330(f330(f238(x85531),x85533),f330(f330(f294(x85531),x85534),x85532)))+~P108(f330(f330(f238(x85531),f330(f330(f83(x85531),x85533),x85532)),x85534)) % 199.49/199.85 [8554]~P68(x85541)+P108(f330(f330(f239(x85541),x85542),f2(x85541)))+~P108(f330(f330(f239(x85541),x85543),f2(x85541)))+P108(f330(f330(f239(x85541),x85543),f330(f330(f294(x85541),x85544),x85542)))+~P108(f330(f330(f239(x85541),f330(f330(f83(x85541),x85543),x85542)),x85544)) % 199.49/199.85 [8705]~P68(x87051)+~P108(f330(f330(f239(x87051),x87052),f2(x87051)))+P108(f330(f330(f239(x87051),f2(x87051)),x87052))+~P108(f330(f330(f238(x87051),f330(f330(f294(x87051),x87054),x87052)),x87053))+P108(f330(f330(f238(x87051),f330(f330(f83(x87051),x87053),x87052)),x87054)) % 199.49/199.85 [8706]~P68(x87061)+~P108(f330(f330(f239(x87061),x87062),f2(x87061)))+P108(f330(f330(f239(x87061),f2(x87061)),x87062))+~P108(f330(f330(f238(x87061),f330(f330(f83(x87061),x87064),x87062)),x87063))+P108(f330(f330(f238(x87061),f330(f330(f294(x87061),x87063),x87062)),x87064)) % 199.49/199.85 [8707]~P68(x87071)+~P108(f330(f330(f239(x87071),x87072),f2(x87071)))+P108(f330(f330(f239(x87071),f2(x87071)),x87072))+~P108(f330(f330(f239(x87071),f330(f330(f294(x87071),x87074),x87072)),x87073))+P108(f330(f330(f239(x87071),f330(f330(f83(x87071),x87073),x87072)),x87074)) % 199.49/199.85 [8708]~P68(x87081)+~P108(f330(f330(f239(x87081),x87082),f2(x87081)))+P108(f330(f330(f239(x87081),f2(x87081)),x87082))+~P108(f330(f330(f239(x87081),f330(f330(f83(x87081),x87084),x87082)),x87083))+P108(f330(f330(f239(x87081),f330(f330(f294(x87081),x87083),x87082)),x87084)) % 199.49/199.85 [8724]~P68(x87241)+~P108(f330(f330(f238(x87241),f2(x87241)),x87244))+P108(f330(f330(f239(x87241),f2(x87241)),x87242))+~P108(f330(f330(f238(x87241),f330(f330(f83(x87241),x87244),x87242)),x87243))+P108(f330(f330(f238(x87241),f330(f330(f294(x87241),x87243),x87242)),x87244)) % 199.49/199.85 [8725]~P68(x87251)+~P108(f330(f330(f239(x87251),f2(x87251)),x87254))+P108(f330(f330(f239(x87251),f2(x87251)),x87252))+~P108(f330(f330(f239(x87251),f330(f330(f83(x87251),x87254),x87252)),x87253))+P108(f330(f330(f239(x87251),f330(f330(f294(x87251),x87253),x87252)),x87254)) % 199.49/199.85 [8800]~P68(x88001)+~P108(f330(f330(f239(x88001),x88004),f2(x88001)))+~P108(f330(f330(f238(x88001),x88003),f330(f330(f83(x88001),x88002),x88004)))+P108(f330(f330(f238(x88001),x88002),f330(f330(f294(x88001),x88003),x88004)))+~P108(f330(f330(f238(x88001),f330(f330(f83(x88001),x88002),x88004)),x88003)) % 199.49/199.85 [8801]~P68(x88011)+~P108(f330(f330(f238(x88011),x88012),f2(x88011)))+~P108(f330(f330(f238(x88011),x88013),f330(f330(f83(x88011),x88012),x88014)))+P108(f330(f330(f238(x88011),x88012),f330(f330(f294(x88011),x88013),x88014)))+~P108(f330(f330(f238(x88011),f330(f330(f83(x88011),x88012),x88014)),x88013)) % 199.49/199.85 [8802]~P68(x88021)+~P108(f330(f330(f239(x88021),x88024),f2(x88021)))+~P108(f330(f330(f239(x88021),x88023),f330(f330(f83(x88021),x88022),x88024)))+P108(f330(f330(f239(x88021),x88022),f330(f330(f294(x88021),x88023),x88024)))+~P108(f330(f330(f239(x88021),f330(f330(f83(x88021),x88022),x88024)),x88023)) % 199.49/199.85 [8803]~P68(x88031)+~P108(f330(f330(f239(x88031),x88032),f2(x88031)))+~P108(f330(f330(f239(x88031),x88033),f330(f330(f83(x88031),x88032),x88034)))+P108(f330(f330(f239(x88031),x88032),f330(f330(f294(x88031),x88033),x88034)))+~P108(f330(f330(f239(x88031),f330(f330(f83(x88031),x88032),x88034)),x88033)) % 199.49/199.85 [8925]~P68(x89251)+~P108(f330(f330(f239(x89251),x89253),f2(x89251)))+~P108(f330(f330(f238(x89251),x89252),f330(f330(f83(x89251),x89254),x89253)))+~P108(f330(f330(f238(x89251),f330(f330(f83(x89251),x89254),x89253)),x89252))+P108(f330(f330(f238(x89251),f330(f330(f294(x89251),x89252),x89253)),x89254)) % 199.49/199.85 [8926]~P68(x89261)+~P108(f330(f330(f239(x89261),x89263),f2(x89261)))+~P108(f330(f330(f239(x89261),x89262),f330(f330(f83(x89261),x89264),x89263)))+~P108(f330(f330(f239(x89261),f330(f330(f83(x89261),x89264),x89263)),x89262))+P108(f330(f330(f239(x89261),f330(f330(f294(x89261),x89262),x89263)),x89264)) % 199.49/199.85 [8943]~P68(x89431)+~P108(f330(f330(f238(x89431),f2(x89431)),x89434))+~P108(f330(f330(f238(x89431),x89432),f330(f330(f83(x89431),x89434),x89433)))+~P108(f330(f330(f238(x89431),f330(f330(f83(x89431),x89434),x89433)),x89432))+P108(f330(f330(f238(x89431),f330(f330(f294(x89431),x89432),x89433)),x89434)) % 199.49/199.85 [8944]~P68(x89441)+~P108(f330(f330(f239(x89441),f2(x89441)),x89444))+~P108(f330(f330(f239(x89441),x89442),f330(f330(f83(x89441),x89444),x89443)))+~P108(f330(f330(f239(x89441),f330(f330(f83(x89441),x89444),x89443)),x89442))+P108(f330(f330(f239(x89441),f330(f330(f294(x89441),x89442),x89443)),x89444)) % 199.49/199.85 [9127]E(f330(f330(f23(a1),f459(x91271,x91272,x91273,x91274)),f460(x91271,x91272,x91273,x91274)),x91274)+~P108(f330(f330(f239(a1),f2(a1)),x91273))+~P108(f330(f330(f332(a1),x91272),x91271))+~P108(f330(f330(f239(a1),x91274),x91272))+P108(f330(f330(f239(a1),f330(f330(f82(a1),x91274),x91273)),x91272)) % 199.49/199.85 [9203]~P108(f330(x92031,x92032))+~P108(f330(f330(f238(a1),f2(a1)),x92033))+~P108(f330(f330(f239(a1),f2(a1)),x92034))+~P108(f330(x92031,f330(f330(f23(a1),f915(x92033,x92031,x92034)),x92034)))+P108(f330(x92031,f330(f330(f23(a1),x92032),f330(f330(f83(a1),x92033),x92034)))) % 199.49/199.85 [9204]~P108(f330(x92041,x92042))+~P108(f330(f330(f238(a1),f2(a1)),x92043))+~P108(f330(f330(f239(a1),f2(a1)),x92044))+~P108(f330(x92041,f330(f330(f82(a1),f917(x92043,x92041,x92044)),x92044)))+P108(f330(x92041,f330(f330(f82(a1),x92042),f330(f330(f83(a1),x92043),x92044)))) % 199.49/199.85 [9354]~P108(f330(f330(f239(a1),f2(a1)),x93543))+~P108(f330(f330(f332(a1),x93542),x93541))+~P108(f330(f330(f239(a1),x93544),x93542))+P108(f330(f330(f332(a1),f459(x93541,x93542,x93543,x93544)),x93541))+P108(f330(f330(f239(a1),f330(f330(f82(a1),x93544),x93543)),x93542)) % 199.49/199.85 [9374]E(f330(f330(f23(a1),f442(x93741,x93742,x93743,x93744)),f437(x93741,x93742,x93743,x93744)),x93744)+~P108(f330(f330(f239(a1),f2(a1)),x93743))+~P108(f330(f330(f238(a1),x93744),x93742))+~P108(f330(f330(f332(a1),f330(f330(f82(a1),x93742),f80(a1))),x93741))+P108(f330(f330(f238(a1),f330(f330(f82(a1),x93744),x93743)),x93742)) % 199.49/199.85 [9402]~P108(f330(f330(f239(a1),f2(a1)),x94022))+~P108(f330(f330(f332(a1),x94023),x94024))+~P108(f330(f330(f239(a1),x94021),x94023))+P108(f330(f330(f332(a1),f460(x94024,x94023,x94022,x94021)),f306(a1,f80(a1),x94022)))+P108(f330(f330(f239(a1),f330(f330(f82(a1),x94021),x94022)),x94023)) % 199.49/199.85 [9490]~P108(f330(f330(f239(a1),f2(a1)),x94903))+~P108(f330(f330(f238(a1),x94904),x94902))+P108(f330(f330(f332(a1),f442(x94901,x94902,x94903,x94904)),x94901))+~P108(f330(f330(f332(a1),f330(f330(f82(a1),x94902),f80(a1))),x94901))+P108(f330(f330(f238(a1),f330(f330(f82(a1),x94904),x94903)),x94902)) % 199.49/199.85 [9535]~P108(f330(f330(f239(a1),f2(a1)),x95352))+~P108(f330(f330(f238(a1),x95351),x95353))+P108(f330(f330(f332(a1),f437(x95354,x95353,x95352,x95351)),f306(a1,f80(a1),x95352)))+~P108(f330(f330(f332(a1),f330(f330(f82(a1),x95353),f80(a1))),x95354))+P108(f330(f330(f238(a1),f330(f330(f82(a1),x95351),x95352)),x95353)) % 199.49/199.85 [9829]~P39(x98291,x98293)+~P27(x98291,x98294)+P39(x98291,f330(f330(f113(f935(f934(x98291,x98291),a923)),x98292),x98293))+~P108(f330(f330(f238(f935(f934(x98291,x98291),a923)),x98292),f330(f254(f935(f934(x98291,x98291),a923),f935(f934(x98291,x98291),a923)),x98294)))+~P108(f330(f330(f238(f935(f934(x98291,x98291),a923)),x98293),f330(f259(f935(f934(x98291,x98291),a923),f935(f934(x98291,x98291),a923)),x98294))) % 199.49/199.85 [10211]~P18(x102112,x102114,x102113)+E(x102111,f191(f935(x102112,a923)))+~P108(f330(f62(x102112),x102111))+P108(f330(f330(f332(x102112),f330(x102113,x102111)),x102111))+~P108(f330(f330(f332(x102112),f330(f330(x102114,f568(x102111,x102113,x102114,x102112)),f581(x102111,x102113,x102114,x102112))),f330(f330(f312(x102112),f568(x102111,x102113,x102114,x102112)),f330(f330(f312(x102112),f581(x102111,x102113,x102114,x102112)),f191(f935(x102112,a923)))))) % 199.49/199.85 [10143]~P112(x101432)+~P65(x101431)+~P108(f330(f330(f238(f935(x101431,x101432)),x101433),x101434))+P108(f330(f330(f239(f935(x101431,x101432)),x101433),x101434))+~P108(f330(f57(x101431),f330(f330(f8(a923,a923,x101431),a325),f330(f330(f18(x101431,x101432,a923),f330(f330(f8(x101432,f935(x101432,a923),x101431),a327),x101433)),x101434)))) % 199.49/199.85 [9743]~P57(x97431,x97431,x97434)+P108(f330(f330(f332(f934(x97431,x97431)),f330(f330(f255(x97431,x97431),x97432),x97433)),f310(x97431,x97434)))+P108(f330(f330(f332(f934(x97431,x97431)),f330(f330(f255(x97431,x97431),x97433),x97432)),f310(x97431,x97434)))+~P108(f330(f330(f332(f934(x97431,x97431)),f330(f330(f255(x97431,x97431),x97435),x97432)),f310(x97431,x97434)))+~P108(f330(f330(f332(f934(x97431,x97431)),f330(f330(f255(x97431,x97431),x97435),x97433)),f310(x97431,x97434))) % 199.49/199.85 [5883]E(x58831,f2(a928))+~E(f330(f36(x58832),x58835),x58831)+E(f330(f36(x58832),x58833),f330(a115,x58831))+~E(x58833,f330(f330(f312(x58832),x58834),x58835))+P108(f330(f330(f332(x58832),x58834),x58835)) % 199.49/199.85 [6005]~P67(x60052)+E(x60051,f2(x60052))+E(x60053,f2(x60052))+~E(f330(f330(f294(x60052),x60054),x60053),f330(f330(f294(x60052),x60055),x60051))+E(f330(f330(f83(x60052),x60054),x60051),f330(f330(f83(x60052),x60055),x60053)) % 199.49/199.85 [6006]~P67(x60062)+E(x60061,f2(x60062))+E(x60063,f2(x60062))+~E(f330(f330(f83(x60062),x60064),x60063),f330(f330(f83(x60062),x60065),x60061))+E(f330(f330(f294(x60062),x60064),x60061),f330(f330(f294(x60062),x60065),x60063)) % 199.49/199.85 [6075]~E(f330(f36(x60751),x60755),x60753)+~E(x60755,f191(f935(x60751,a923)))+E(f330(f36(x60751),x60752),f330(a115,x60753))+~E(x60752,f330(f330(f312(x60751),x60754),x60755))+P108(f330(f330(f332(x60751),x60754),x60755)) % 199.49/199.85 [6313]~P114(x63132)+~E(f330(x63133,x63135),f2(x63132))+E(f330(f330(f9(x63131,x63132),x63133),x63134),f2(x63132))+~P108(f330(f62(x63131),x63134))+~P108(f330(f330(f332(x63131),x63135),x63134)) % 199.49/199.85 [6686]~P110(x66863)+E(x66861,x66862)+~E(f330(f305(x66863,x66864),x66861),f330(f305(x66863,x66865),x66862))+~P108(f330(f330(f239(x66863),x66865),x66862))+~P108(f330(f330(f239(x66863),x66864),x66861)) % 199.49/199.85 [6687]~P110(x66873)+E(x66871,x66872)+~E(f330(f305(x66873,x66871),x66874),f330(f305(x66873,x66872),x66875))+~P108(f330(f330(f239(x66873),x66872),x66875))+~P108(f330(f330(f239(x66873),x66871),x66874)) % 199.49/199.85 [7749]~P110(x77491)+~P13(x77491,f330(f330(f137(x77491),x77494),x77495))+~P108(f330(f330(f332(x77491),x77493),f330(f175(x77491),x77495)))+~P108(f330(f330(f332(x77491),x77492),f330(f175(x77491),x77494)))+P108(f330(f330(f238(x77491),x77492),x77493)) % 199.49/199.85 [8837]~P112(x88371)+~P108(f330(f330(f239(f935(x88371,a923)),f306(x88371,x88375,x88372)),f306(x88371,x88374,x88373)))+~P108(f330(f330(f238(x88371),x88375),x88372))+P108(f330(f330(f239(x88371),x88372),x88373))+P108(f330(f330(f239(x88371),x88374),x88375)) % 199.49/199.85 [10254]~P17(x102542,x102545,x102543)+E(x102541,f191(f935(x102542,a923)))+~E(f330(f330(x102545,f330(x102544,f758(x102541,x102544,x102543,x102545,x102542))),f330(x102544,f774(x102541,x102544,x102543,x102545,x102542))),f330(x102544,f330(f330(x102545,f758(x102541,x102544,x102543,x102545,x102542)),f774(x102541,x102544,x102543,x102545,x102542))))+E(f330(x102543,f330(f313(x102542,x102542,x102544),x102541)),f330(x102544,f330(x102543,x102541)))+~P108(f330(f62(x102542),x102541)) % 199.49/199.85 [6683]~P18(x66832,x66835,x66833)+E(x66831,f191(f935(x66832,a923)))+~P108(f330(f62(x66832),x66831))+E(f330(x66833,f330(f330(f312(x66832),x66834),x66831)),f330(f330(x66835,x66834),f330(x66833,x66831)))+P108(f330(f330(f332(x66832),x66834),x66831)) % 199.49/199.85 [7514]~P17(x75142,x75143,x75144)+E(f330(f330(x75143,f330(x75144,x75141)),f330(x75144,x75145)),f330(x75144,x75145))+E(x75141,f191(f935(x75142,a923)))+~P108(f330(f62(x75142),x75145))+~P108(f330(f330(f238(f935(x75142,a923)),x75141),x75145)) % 199.49/199.85 [7885]~P18(x78854,x78855,x78851)+E(f330(x78851,x78852),x78853)+~P108(f330(f62(x78854),x78852))+~E(f330(f330(f23(f935(x78854,a923)),x78852),f330(f330(f312(x78854),x78853),f191(f935(x78854,a923)))),f191(f935(x78854,a923)))+~P108(f330(f330(f332(x78854),x78853),x78852)) % 199.49/199.85 [8807]E(x88071,x88072)+~P8(x88073,x88074,x88075)+E(f330(f330(f104(f935(x88073,a923)),x88071),x88072),f191(f935(x88073,a923)))+~P108(f330(f330(f332(f935(x88073,a923)),x88072),f330(f330(f61(x88073),x88074),x88075)))+~P108(f330(f330(f332(f935(x88073,a923)),x88071),f330(f330(f61(x88073),x88074),x88075))) % 199.49/199.85 [9618]~P72(x96182)+~E(f330(x96183,f431(x96183,x96184,x96185,x96181,x96182)),f80(x96182))+E(f330(f330(f9(x96181,x96182),x96183),x96184),f330(f330(f9(x96181,x96182),x96183),x96185))+~P108(f330(f62(x96181),x96185))+~P108(f330(f330(f238(f935(x96181,a923)),x96184),x96185)) % 199.49/199.85 [9619]~P72(x96192)+~E(f330(x96193,f434(x96193,x96194,x96195,x96191,x96192)),f80(x96192))+E(f330(f330(f9(x96191,x96192),x96193),x96194),f330(f330(f9(x96191,x96192),x96193),x96195))+~P108(f330(f62(x96191),x96195))+~P108(f330(f330(f238(f935(x96191,a923)),x96194),x96195)) % 199.49/199.85 [9620]~P76(x96202)+~E(f330(x96203,f496(x96203,x96204,x96205,x96201,x96202)),f2(x96202))+E(f330(f330(f6(x96201,x96202),x96203),x96204),f330(f330(f6(x96201,x96202),x96203),x96205))+~P108(f330(f62(x96201),x96205))+~P108(f330(f330(f238(f935(x96201,a923)),x96204),x96205)) % 199.49/199.85 [9621]~P76(x96212)+~E(f330(x96213,f500(x96213,x96214,x96215,x96211,x96212)),f2(x96212))+E(f330(f330(f6(x96211,x96212),x96213),x96214),f330(f330(f6(x96211,x96212),x96213),x96215))+~P108(f330(f62(x96211),x96215))+~P108(f330(f330(f238(f935(x96211,a923)),x96214),x96215)) % 199.49/199.85 [10096]~P89(x100961)+~P108(f330(f62(x100962),x100965))+~P108(f330(f330(f238(x100961),f2(x100961)),f330(x100963,f485(x100963,x100964,x100965,x100962,x100961))))+P108(f330(f330(f238(x100961),f330(f330(f6(x100962,x100961),x100963),x100964)),f330(f330(f6(x100962,x100961),x100963),x100965)))+~P108(f330(f330(f238(f935(x100962,a923)),x100964),x100965)) % 199.49/199.85 [7746]E(x77461,f2(a928))+P108(f330(x77462,x77463))+~E(x77464,f330(f330(f82(a928),f330(f330(f83(a928),x77461),x77463)),x77465))+~P108(f330(f330(f239(a928),x77465),x77461))+~P108(f330(x77462,f330(f330(f37(a928),x77464),x77461))) % 199.49/199.85 [7823]E(x78231,f2(a928))+P108(f330(x78232,x78233))+~P108(f330(x78232,f46(a928,x78234,x78231)))+~E(x78234,f330(f330(f82(a928),f330(f330(f83(a928),x78231),x78235)),x78233))+~P108(f330(f330(f239(a928),x78233),x78231)) % 199.49/199.85 [8113]~P67(x81133)+E(f330(x81131,x81132),f2(x81133))+~P108(f330(f62(x81134),x81135))+E(f330(f330(f9(x81134,x81133),x81131),f330(f330(f23(f935(x81134,a923)),x81135),f330(f330(f312(x81134),x81132),f191(f935(x81134,a923))))),f330(f330(f9(x81134,x81133),x81131),x81135))+P108(f330(f330(f332(x81134),x81132),x81135)) % 199.49/199.85 [8508]~P72(x85081)+~P108(f330(f62(x85082),x85085))+~P108(f330(f62(x85082),x85084))+~E(f330(f330(f104(f935(x85082,a923)),x85084),x85085),f191(f935(x85082,a923)))+E(f330(f330(f83(x85081),f330(f330(f9(x85082,x85081),x85083),x85084)),f330(f330(f9(x85082,x85081),x85083),x85085)),f330(f330(f9(x85082,x85081),x85083),f330(f330(f113(f935(x85082,a923)),x85084),x85085))) % 199.49/199.85 [8509]~P76(x85091)+~P108(f330(f62(x85092),x85095))+~P108(f330(f62(x85092),x85094))+~E(f330(f330(f104(f935(x85092,a923)),x85094),x85095),f191(f935(x85092,a923)))+E(f330(f330(f82(x85091),f330(f330(f6(x85092,x85091),x85093),x85094)),f330(f330(f6(x85092,x85091),x85093),x85095)),f330(f330(f6(x85092,x85091),x85093),f330(f330(f113(f935(x85092,a923)),x85094),x85095))) % 199.49/199.85 [8608]~P67(x86083)+E(f330(x86081,x86082),f2(x86083))+~P108(f330(f62(x86084),x86085))+E(f330(f330(f9(x86084,x86083),x86081),f330(f330(f23(f935(x86084,a923)),x86085),f330(f330(f312(x86084),x86082),f191(f935(x86084,a923))))),f330(f330(f294(x86083),f330(f330(f9(x86084,x86083),x86081),x86085)),f330(x86081,x86082)))+~P108(f330(f330(f332(x86084),x86082),x86085)) % 199.49/199.85 [9331]~P8(x93311,x93315,x93314)+~E(f330(f330(f61(x93311),f330(f330(f312(x93311),x93312),f191(f935(x93311,a923)))),x93314),f330(f330(f61(x93311),f330(f330(f312(x93311),x93313),f191(f935(x93311,a923)))),x93314))+~P108(f330(f330(f332(x93311),x93313),x93315))+~P108(f330(f330(f332(x93311),x93312),x93315))+P108(f330(f330(f332(f934(x93311,x93311)),f330(f330(f255(x93311,x93311),x93312),x93313)),x93314)) % 199.49/199.85 [9353]~P8(x93531,x93535,x93533)+E(f330(f330(f61(x93531),f330(f330(f312(x93531),x93532),f191(f935(x93531,a923)))),x93533),f330(f330(f61(x93531),f330(f330(f312(x93531),x93534),f191(f935(x93531,a923)))),x93533))+~P108(f330(f330(f332(x93531),x93534),x93535))+~P108(f330(f330(f332(x93531),x93532),x93535))+~P108(f330(f330(f332(f934(x93531,x93531)),f330(f330(f255(x93531,x93531),x93532),x93534)),x93533)) % 199.49/199.85 [9647]~P72(x96471)+~P108(f330(f62(x96472),x96475))+~P108(f330(f62(x96472),x96474))+~E(f330(f330(f104(f935(x96472,a923)),x96474),x96475),f191(f935(x96472,a923)))+E(f330(f330(f83(x96471),f330(f330(f330(f66(x96471,x96472,f83(x96471)),x96473),f80(x96471)),x96474)),f330(f330(f330(f66(x96471,x96472,f83(x96471)),x96473),f80(x96471)),x96475)),f330(f330(f330(f66(x96471,x96472,f83(x96471)),x96473),f80(x96471)),f330(f330(f113(f935(x96472,a923)),x96474),x96475))) % 199.49/199.85 [9658]~P72(x96581)+~E(f330(x96583,f421(x96583,x96585,x96584,x96582,x96581)),f80(x96581))+~P108(f330(f62(x96582),x96584))+~P108(f330(f62(x96582),x96585))+E(f330(f330(f83(x96581),f330(f330(f9(x96582,x96581),x96583),x96584)),f330(f330(f9(x96582,x96581),x96583),x96585)),f330(f330(f9(x96582,x96581),x96583),f330(f330(f113(f935(x96582,a923)),x96584),x96585))) % 199.49/199.85 [9659]~P72(x96591)+~E(f330(x96593,f422(x96593,x96595,x96594,x96592,x96591)),f80(x96591))+~P108(f330(f62(x96592),x96594))+~P108(f330(f62(x96592),x96595))+E(f330(f330(f83(x96591),f330(f330(f9(x96592,x96591),x96593),x96594)),f330(f330(f9(x96592,x96591),x96593),x96595)),f330(f330(f9(x96592,x96591),x96593),f330(f330(f113(f935(x96592,a923)),x96594),x96595))) % 199.49/199.85 [9660]~P76(x96601)+~E(f330(x96603,f483(x96603,x96605,x96604,x96602,x96601)),f2(x96601))+~P108(f330(f62(x96602),x96604))+~P108(f330(f62(x96602),x96605))+E(f330(f330(f82(x96601),f330(f330(f6(x96602,x96601),x96603),x96604)),f330(f330(f6(x96602,x96601),x96603),x96605)),f330(f330(f6(x96602,x96601),x96603),f330(f330(f113(f935(x96602,a923)),x96604),x96605))) % 199.49/199.85 [9661]~P76(x96611)+~E(f330(x96613,f487(x96613,x96615,x96614,x96612,x96611)),f2(x96611))+~P108(f330(f62(x96612),x96614))+~P108(f330(f62(x96612),x96615))+E(f330(f330(f82(x96611),f330(f330(f6(x96612,x96611),x96613),x96614)),f330(f330(f6(x96612,x96611),x96613),x96615)),f330(f330(f6(x96612,x96611),x96613),f330(f330(f113(f935(x96612,a923)),x96614),x96615))) % 199.49/199.85 [9872]~P72(x98721)+~E(f330(x98723,f419(x98723,x98725,x98724,x98722,x98721)),f80(x98721))+~P108(f330(f62(x98722),x98724))+~P108(f330(f62(x98722),x98725))+E(f330(f330(f83(x98721),f330(f330(f330(f66(x98721,x98722,f83(x98721)),x98723),f80(x98721)),x98724)),f330(f330(f330(f66(x98721,x98722,f83(x98721)),x98723),f80(x98721)),x98725)),f330(f330(f330(f66(x98721,x98722,f83(x98721)),x98723),f80(x98721)),f330(f330(f113(f935(x98722,a923)),x98724),x98725))) % 199.49/199.85 [9983]~P72(x99832)+E(f330(f330(f9(x99831,x99832),x99833),x99834),f330(f330(f9(x99831,x99832),x99833),x99835))+~P108(f330(f62(x99831),x99835))+~P108(f330(f330(f238(f935(x99831,a923)),x99834),x99835))+P108(f330(f330(f332(x99831),f431(x99833,x99834,x99835,x99831,x99832)),f330(f330(f23(f935(x99831,a923)),x99835),x99834))) % 199.49/199.85 [9984]~P72(x99842)+E(f330(f330(f9(x99841,x99842),x99843),x99844),f330(f330(f9(x99841,x99842),x99843),x99845))+~P108(f330(f62(x99841),x99845))+~P108(f330(f330(f238(f935(x99841,a923)),x99844),x99845))+P108(f330(f330(f332(x99841),f434(x99843,x99844,x99845,x99841,x99842)),f330(f330(f23(f935(x99841,a923)),x99845),x99844))) % 199.49/199.85 [9985]~P76(x99852)+E(f330(f330(f6(x99851,x99852),x99853),x99854),f330(f330(f6(x99851,x99852),x99853),x99855))+~P108(f330(f62(x99851),x99855))+~P108(f330(f330(f238(f935(x99851,a923)),x99854),x99855))+P108(f330(f330(f332(x99851),f496(x99853,x99854,x99855,x99851,x99852)),f330(f330(f23(f935(x99851,a923)),x99855),x99854))) % 199.49/199.85 [9986]~P76(x99862)+E(f330(f330(f6(x99861,x99862),x99863),x99864),f330(f330(f6(x99861,x99862),x99863),x99865))+~P108(f330(f62(x99861),x99865))+~P108(f330(f330(f238(f935(x99861,a923)),x99864),x99865))+P108(f330(f330(f332(x99861),f500(x99863,x99864,x99865,x99861,x99862)),f330(f330(f23(f935(x99861,a923)),x99865),x99864))) % 199.49/199.85 [10004]~P72(x100041)+~P108(f330(f62(x100042),x100044))+~P108(f330(f62(x100042),x100045))+E(f330(f330(f83(x100041),f330(f330(f9(x100042,x100041),x100043),x100044)),f330(f330(f9(x100042,x100041),x100043),x100045)),f330(f330(f9(x100042,x100041),x100043),f330(f330(f113(f935(x100042,a923)),x100044),x100045)))+P108(f330(f330(f332(x100042),f421(x100043,x100045,x100044,x100042,x100041)),f330(f330(f104(f935(x100042,a923)),x100044),x100045))) % 199.49/199.85 [10005]~P72(x100051)+~P108(f330(f62(x100052),x100054))+~P108(f330(f62(x100052),x100055))+E(f330(f330(f83(x100051),f330(f330(f9(x100052,x100051),x100053),x100054)),f330(f330(f9(x100052,x100051),x100053),x100055)),f330(f330(f9(x100052,x100051),x100053),f330(f330(f113(f935(x100052,a923)),x100054),x100055)))+P108(f330(f330(f332(x100052),f422(x100053,x100055,x100054,x100052,x100051)),f330(f330(f104(f935(x100052,a923)),x100054),x100055))) % 199.49/199.85 [10006]~P76(x100061)+~P108(f330(f62(x100062),x100064))+~P108(f330(f62(x100062),x100065))+E(f330(f330(f82(x100061),f330(f330(f6(x100062,x100061),x100063),x100064)),f330(f330(f6(x100062,x100061),x100063),x100065)),f330(f330(f6(x100062,x100061),x100063),f330(f330(f113(f935(x100062,a923)),x100064),x100065)))+P108(f330(f330(f332(x100062),f483(x100063,x100065,x100064,x100062,x100061)),f330(f330(f104(f935(x100062,a923)),x100064),x100065))) % 199.49/199.85 [10007]~P76(x100071)+~P108(f330(f62(x100072),x100074))+~P108(f330(f62(x100072),x100075))+E(f330(f330(f82(x100071),f330(f330(f6(x100072,x100071),x100073),x100074)),f330(f330(f6(x100072,x100071),x100073),x100075)),f330(f330(f6(x100072,x100071),x100073),f330(f330(f113(f935(x100072,a923)),x100074),x100075)))+P108(f330(f330(f332(x100072),f487(x100073,x100075,x100074,x100072,x100071)),f330(f330(f104(f935(x100072,a923)),x100074),x100075))) % 199.49/199.85 [10013]~P89(x100135)+~P108(f330(f62(x100131),x100134))+P108(f330(f330(f238(x100135),f330(f330(f6(x100131,x100135),x100132),x100133)),f330(f330(f6(x100131,x100135),x100132),x100134)))+~P108(f330(f330(f238(f935(x100131,a923)),x100133),x100134))+P108(f330(f330(f332(x100131),f485(x100132,x100133,x100134,x100131,x100135)),f330(f330(f23(f935(x100131,a923)),x100134),x100133))) % 199.49/199.85 [10057]~P72(x100571)+~P108(f330(f62(x100572),x100574))+~P108(f330(f62(x100572),x100575))+E(f330(f330(f83(x100571),f330(f330(f330(f66(x100571,x100572,f83(x100571)),x100573),f80(x100571)),x100574)),f330(f330(f330(f66(x100571,x100572,f83(x100571)),x100573),f80(x100571)),x100575)),f330(f330(f330(f66(x100571,x100572,f83(x100571)),x100573),f80(x100571)),f330(f330(f113(f935(x100572,a923)),x100574),x100575)))+P108(f330(f330(f332(x100572),f419(x100573,x100575,x100574,x100572,x100571)),f330(f330(f104(f935(x100572,a923)),x100574),x100575))) % 199.49/199.85 [9016]~P18(x90161,x90164,x90165)+~P108(f330(f62(x90161),x90162))+E(f330(f330(f23(f935(x90161,a923)),x90162),f330(f330(f312(x90161),x90163),f191(f935(x90161,a923)))),f191(f935(x90161,a923)))+~P108(f330(f330(f332(x90161),x90163),x90162))+E(f330(f330(x90164,x90163),f330(x90165,f330(f330(f23(f935(x90161,a923)),x90162),f330(f330(f312(x90161),x90163),f191(f935(x90161,a923)))))),f330(x90165,x90162)) % 199.49/199.85 [9094]~P18(x90941,x90944,x90945)+~P108(f330(f62(x90941),x90943))+~P108(f330(f62(x90941),x90942))+E(f330(f330(f104(f935(x90941,a923)),x90942),x90943),f191(f935(x90941,a923)))+E(f330(f330(x90944,f330(x90945,f330(f330(f113(f935(x90941,a923)),x90942),x90943))),f330(x90945,f330(f330(f104(f935(x90941,a923)),x90942),x90943))),f330(f330(x90944,f330(x90945,x90942)),f330(x90945,x90943))) % 199.49/199.85 [9663]~P108(f330(f330(f238(a1),x96634),f2(a1)))+~P108(f330(f330(f239(a1),x96633),x96635))+P108(f330(f330(f238(a1),x96631),x96632))+~P108(f330(f330(f239(a1),x96633),x96634))+~P108(f330(f330(f238(a1),f330(f330(f82(a1),f330(f330(f83(a1),x96633),x96632)),x96635)),f330(f330(f82(a1),f330(f330(f83(a1),x96633),x96631)),x96634))) % 199.49/199.85 [9665]~P108(f330(f330(f238(a1),f2(a1)),x96655))+P108(f330(f330(f238(a1),x96651),x96652))+~P108(f330(f330(f239(a1),x96653),x96654))+~P108(f330(f330(f239(a1),x96655),x96654))+~P108(f330(f330(f238(a1),f330(f330(f82(a1),f330(f330(f83(a1),x96654),x96651)),x96655)),f330(f330(f82(a1),f330(f330(f83(a1),x96654),x96652)),x96653))) % 199.49/199.85 [9781]~P67(x97815)+E(f330(x97811,f418(x97811,x97812,x97813,x97814,x97815)),f2(x97815))+~P108(f330(f62(x97814),x97813))+~P108(f330(f62(x97814),x97812))+E(f330(f330(f294(x97815),f330(f330(f83(x97815),f330(f330(f9(x97814,x97815),x97811),x97813)),f330(f330(f9(x97814,x97815),x97811),x97812))),f330(f330(f9(x97814,x97815),x97811),f330(f330(f104(f935(x97814,a923)),x97813),x97812))),f330(f330(f9(x97814,x97815),x97811),f330(f330(f113(f935(x97814,a923)),x97813),x97812))) % 199.49/199.85 [10049]~P67(x100491)+~P108(f330(f62(x100492),x100494))+~P108(f330(f62(x100492),x100495))+E(f330(f330(f294(x100491),f330(f330(f83(x100491),f330(f330(f9(x100492,x100491),x100493),x100494)),f330(f330(f9(x100492,x100491),x100493),x100495))),f330(f330(f9(x100492,x100491),x100493),f330(f330(f104(f935(x100492,a923)),x100494),x100495))),f330(f330(f9(x100492,x100491),x100493),f330(f330(f113(f935(x100492,a923)),x100494),x100495)))+P108(f330(f330(f332(x100492),f418(x100493,x100495,x100494,x100492,x100491)),f330(f330(f104(f935(x100492,a923)),x100494),x100495))) % 199.49/199.85 [9373]E(f330(f330(f137(x93731),x93732),x93733),f330(f330(f137(x93731),x93734),x93735))+~E(f330(f330(f178(x93731),f330(f192(f929(x93731)),x93734)),x93732),x93734)+~E(f330(f330(f178(x93731),f330(f192(f929(x93731)),x93732)),x93734),x93732)+~E(x93735,f330(f330(f137(x93731),f330(f330(f141(x93731),f330(f192(f929(x93731)),x93734)),x93732)),x93733))+~E(f330(f330(f137(x93731),f330(f330(f141(x93731),f330(f192(f929(x93731)),x93732)),x93734)),x93735),x93733) % 199.49/199.85 [9779]~P110(x97792)+E(f330(f330(f151(x97791,x97792,x97793),x97794),f173(x97791,x97794,x97795)),x97795)+~P13(x97792,f330(f330(f157(x97791,x97792),x97793),x97795))+~P108(f330(f330(f332(x97791),x97794),f330(f175(x97791),x97795)))+~E(f330(f144(x97791),f330(f139(x97791,f330(f330(f8(x97792,a923,x97791),f330(a327,f330(x97793,x97794))),x97793)),x97795)),x97794) % 199.49/199.85 [10114]~P70(x101141)+~P108(f330(f67(x101141,x101141,f83(x101141),x101142,x101143),x101145))+~P108(f330(f330(f332(x101141),x101144),x101143))+P108(f330(f330(f332(x101141),x101142),x101143))+P108(f330(f67(x101141,x101141,f83(x101141),x101144,f330(f330(f312(x101141),x101142),f330(f330(f23(f935(x101141,a923)),x101143),f330(f330(f312(x101141),x101144),f191(f935(x101141,a923)))))),x101145)) % 199.49/199.85 [7522]E(x75221,x75222)+~P25(x75224,x75225,x75223,x75226)+~E(f330(x75223,x75221),f330(x75223,x75222))+~P108(f330(f330(f332(x75224),x75222),x75226))+~P108(f330(f330(f332(x75224),x75221),x75226)) % 199.49/199.85 [6778]~P130(x67784)+E(x67781,x67782)+~E(x67785,x67786)+E(x67783,f2(x67784))+~E(f330(f330(f82(x67784),x67785),f330(f330(f83(x67784),x67783),x67781)),f330(f330(f82(x67784),x67786),f330(f330(f83(x67784),x67783),x67782))) % 199.49/199.85 [7803]~P110(x78031)+~P5(x78031)+~P108(f330(f330(f239(x78031),x78032),f330(x78035,x78036)))+~P108(f330(f330(f332(x78033),x78036),x78034))+P108(f330(f330(f239(x78031),x78032),f330(f330(f40(x78033,x78031),x78034),x78035))) % 199.49/199.85 [10110]~P25(x101102,x101101,x101103,x101104)+~P25(x101101,x101102,x101106,x101105)+P26(x101101,x101102,f839(x101103,x101104,x101105,x101106,x101102,x101101),x101105,x101104)+~P108(f330(f330(f238(f935(x101102,a923)),f330(f313(x101101,x101102,x101106),x101105)),x101104))+~P108(f330(f330(f238(f935(x101101,a923)),f330(f313(x101102,x101101,x101103),x101104)),x101105)) % 199.49/199.85 [8478]~P110(x84781)+~P5(x84781)+~P108(f330(f330(f239(x84781),f330(x84784,x84786)),x84785))+~P108(f330(f330(f332(x84782),x84786),x84783))+P108(f330(f330(f239(x84781),f330(f330(f41(x84782,x84781),x84783),x84784)),x84785)) % 199.49/199.85 [8731]~P19(x87312,x87315,x87316,x87311)+~P108(f330(f62(x87312),x87314))+~P108(f330(f62(x87312),x87313))+~E(f330(f330(f104(f935(x87312,a923)),x87313),x87314),f191(f935(x87312,a923)))+E(f330(x87311,f330(f330(f113(f935(x87312,a923)),x87313),x87314)),f330(f74(x87315,x87315,x87315,f330(x87311,x87313)),f330(x87311,x87314))) % 199.49/199.85 [10312]~P72(x103121)+~E(f826(x103124,x103125,x103123,x103126,x103122,x103121),f827(x103124,x103125,x103123,x103126,x103122,x103121))+~P108(f330(f62(x103122),x103126))+E(f330(f330(f330(f66(x103121,x103122,f83(x103121)),f330(f330(f8(f935(x103123,a923),x103121,x103122),f330(f330(f66(x103121,x103123,f83(x103121)),x103124),f80(x103121))),x103125)),f80(x103121)),x103126),f330(f330(f330(f66(x103121,x103123,f83(x103121)),x103124),f80(x103121)),f330(f330(f40(x103122,f935(x103123,a923)),x103126),x103125)))+P108(f330(f330(f332(x103122),f825(x103124,x103125,x103123,x103126,x103122,x103121)),x103126)) % 199.49/199.85 [10342]~P72(x103421)+~E(f826(x103424,x103425,x103423,x103426,x103422,x103421),f827(x103424,x103425,x103423,x103426,x103422,x103421))+~P108(f330(f62(x103422),x103426))+E(f330(f330(f330(f66(x103421,x103422,f83(x103421)),f330(f330(f8(f935(x103423,a923),x103421,x103422),f330(f330(f66(x103421,x103423,f83(x103421)),x103424),f80(x103421))),x103425)),f80(x103421)),x103426),f330(f330(f330(f66(x103421,x103423,f83(x103421)),x103424),f80(x103421)),f330(f330(f40(x103422,f935(x103423,a923)),x103426),x103425)))+~P108(f330(f62(x103423),f330(x103425,f825(x103424,x103425,x103423,x103426,x103422,x103421)))) % 199.49/199.85 [10345]~P72(x103451)+~P108(f330(f62(x103452),x103456))+E(f330(f330(f330(f66(x103451,x103452,f83(x103451)),f330(f330(f8(f935(x103453,a923),x103451,x103452),f330(f330(f66(x103451,x103453,f83(x103451)),x103454),f80(x103451))),x103455)),f80(x103451)),x103456),f330(f330(f330(f66(x103451,x103453,f83(x103451)),x103454),f80(x103451)),f330(f330(f40(x103452,f935(x103453,a923)),x103456),x103455)))+P108(f330(f330(f332(x103452),f825(x103454,x103455,x103453,x103456,x103452,x103451)),x103456))+P108(f330(f330(f332(x103452),f827(x103454,x103455,x103453,x103456,x103452,x103451)),x103456)) % 199.49/199.85 [10346]~P72(x103461)+~P108(f330(f62(x103462),x103466))+E(f330(f330(f330(f66(x103461,x103462,f83(x103461)),f330(f330(f8(f935(x103463,a923),x103461,x103462),f330(f330(f66(x103461,x103463,f83(x103461)),x103464),f80(x103461))),x103465)),f80(x103461)),x103466),f330(f330(f330(f66(x103461,x103463,f83(x103461)),x103464),f80(x103461)),f330(f330(f40(x103462,f935(x103463,a923)),x103466),x103465)))+P108(f330(f330(f332(x103462),f825(x103464,x103465,x103463,x103466,x103462,x103461)),x103466))+P108(f330(f330(f332(x103462),f826(x103464,x103465,x103463,x103466,x103462,x103461)),x103466)) % 199.49/199.85 [10366]~P72(x103661)+~P108(f330(f62(x103662),x103666))+E(f330(f330(f330(f66(x103661,x103662,f83(x103661)),f330(f330(f8(f935(x103663,a923),x103661,x103662),f330(f330(f66(x103661,x103663,f83(x103661)),x103664),f80(x103661))),x103665)),f80(x103661)),x103666),f330(f330(f330(f66(x103661,x103663,f83(x103661)),x103664),f80(x103661)),f330(f330(f40(x103662,f935(x103663,a923)),x103666),x103665)))+P108(f330(f330(f332(x103662),f827(x103664,x103665,x103663,x103666,x103662,x103661)),x103666))+~P108(f330(f62(x103663),f330(x103665,f825(x103664,x103665,x103663,x103666,x103662,x103661)))) % 199.49/199.85 [10367]~P72(x103671)+~P108(f330(f62(x103672),x103676))+E(f330(f330(f330(f66(x103671,x103672,f83(x103671)),f330(f330(f8(f935(x103673,a923),x103671,x103672),f330(f330(f66(x103671,x103673,f83(x103671)),x103674),f80(x103671))),x103675)),f80(x103671)),x103676),f330(f330(f330(f66(x103671,x103673,f83(x103671)),x103674),f80(x103671)),f330(f330(f40(x103672,f935(x103673,a923)),x103676),x103675)))+P108(f330(f330(f332(x103672),f826(x103674,x103675,x103673,x103676,x103672,x103671)),x103676))+~P108(f330(f62(x103673),f330(x103675,f825(x103674,x103675,x103673,x103676,x103672,x103671)))) % 199.49/199.85 [10378]~P72(x103781)+~E(f330(f330(f104(f935(x103783,a923)),f330(x103785,f827(x103784,x103785,x103783,x103786,x103782,x103781))),f330(x103785,f826(x103784,x103785,x103783,x103786,x103782,x103781))),f191(f935(x103783,a923)))+~P108(f330(f62(x103782),x103786))+E(f330(f330(f330(f66(x103781,x103782,f83(x103781)),f330(f330(f8(f935(x103783,a923),x103781,x103782),f330(f330(f66(x103781,x103783,f83(x103781)),x103784),f80(x103781))),x103785)),f80(x103781)),x103786),f330(f330(f330(f66(x103781,x103783,f83(x103781)),x103784),f80(x103781)),f330(f330(f40(x103782,f935(x103783,a923)),x103786),x103785)))+P108(f330(f330(f332(x103782),f825(x103784,x103785,x103783,x103786,x103782,x103781)),x103786)) % 199.49/199.85 [10389]~P72(x103891)+~E(f330(f330(f104(f935(x103893,a923)),f330(x103895,f827(x103894,x103895,x103893,x103896,x103892,x103891))),f330(x103895,f826(x103894,x103895,x103893,x103896,x103892,x103891))),f191(f935(x103893,a923)))+~P108(f330(f62(x103892),x103896))+E(f330(f330(f330(f66(x103891,x103892,f83(x103891)),f330(f330(f8(f935(x103893,a923),x103891,x103892),f330(f330(f66(x103891,x103893,f83(x103891)),x103894),f80(x103891))),x103895)),f80(x103891)),x103896),f330(f330(f330(f66(x103891,x103893,f83(x103891)),x103894),f80(x103891)),f330(f330(f40(x103892,f935(x103893,a923)),x103896),x103895)))+~P108(f330(f62(x103893),f330(x103895,f825(x103894,x103895,x103893,x103896,x103892,x103891)))) % 199.49/199.85 [9462]~P124(x94621)+~P120(x94621)+~P108(f330(f330(f290(x94621),x94622),x94625))+~P108(f330(f330(f290(x94621),x94622),f330(f330(f82(x94621),x94623),x94626)))+P108(f330(f330(f290(x94621),x94622),f330(f330(f82(x94621),f330(f330(f23(x94621),x94623),f330(f330(f83(x94621),x94624),x94625))),x94626))) % 199.49/199.85 [9652]~P124(x96521)+~P120(x96521)+~P108(f330(f330(f290(x96521),x96522),x96525))+P108(f330(f330(f290(x96521),x96522),f330(f330(f82(x96521),x96523),x96524)))+~P108(f330(f330(f290(x96521),x96522),f330(f330(f82(x96521),f330(f330(f23(x96521),x96523),f330(f330(f83(x96521),x96526),x96525))),x96524))) % 199.49/199.85 [9064]E(x90641,x90642)+~P59(x90644,x90645,x90646,x90643,x90647)+~E(f330(x90643,x90641),f330(x90643,x90642))+~P108(f330(f330(f332(x90645),x90642),x90647))+~P108(f330(f330(f332(x90645),x90641),x90647)) % 199.49/199.85 [10356]~P108(f330(x103562,x103564))+~E(x103565,f330(f139(x103561,x103562),x103567))+E(f330(f139(x103561,x103562),x103563),f330(f330(f154(x103561),x103564),x103565))+~E(x103563,f330(f330(f137(x103561),x103566),f330(f330(f154(x103561),x103564),x103567)))+P108(f330(x103562,f757(x103565,x103564,x103563,x103562,x103561,x103566,x103567))) % 199.49/199.85 [10357]~P108(f330(x103574,x103572))+~E(x103573,f330(f139(x103571,x103574),x103577))+E(f330(f330(f154(x103571),x103572),x103573),f330(f139(x103571,x103574),x103575))+~E(x103575,f330(f330(f137(x103571),x103576),f330(f330(f154(x103571),x103572),x103577)))+P108(f330(x103574,f759(x103575,x103574,x103573,x103572,x103571,x103576,x103577))) % 199.49/199.85 [10401]~P108(f330(x104012,x104014))+~E(x104015,f330(f139(x104011,x104012),x104017))+E(f330(f139(x104011,x104012),x104013),f330(f330(f154(x104011),x104014),x104015))+~E(x104013,f330(f330(f137(x104011),x104016),f330(f330(f154(x104011),x104014),x104017)))+P108(f330(f330(f332(x104011),f757(x104015,x104014,x104013,x104012,x104011,x104016,x104017)),f330(f175(x104011),x104016))) % 199.49/199.85 [10402]~P108(f330(x104024,x104022))+~E(x104023,f330(f139(x104021,x104024),x104027))+E(f330(f330(f154(x104021),x104022),x104023),f330(f139(x104021,x104024),x104025))+~E(x104025,f330(f330(f137(x104021),x104026),f330(f330(f154(x104021),x104022),x104027)))+P108(f330(f330(f332(x104021),f759(x104025,x104024,x104023,x104022,x104021,x104026,x104027)),f330(f175(x104021),x104026))) % 199.49/199.85 [10406]~P8(x104061,x104067,x104066)+~P11(x104061,f935(x104065,a923),x104066,x104064)+P108(f330(f330(f332(x104061),f385(x104062,x104063,x104064,x104065,x104066,x104067,x104061)),x104067))+~P108(f330(f330(f332(f935(x104061,a923)),x104063),f330(f330(f61(x104061),x104067),x104066)))+P108(f330(f330(f332(f935(x104065,a923)),f330(f330(f40(x104061,f935(x104065,a923)),x104063),x104064)),x104062)) % 199.49/199.85 [10465]~P8(x104652,x104656,x104657)+~P11(x104652,f935(x104651,a923),x104657,x104654)+~P108(f330(f330(f332(f935(x104652,a923)),x104653),f330(f330(f61(x104652),x104656),x104657)))+~P108(f330(f330(f332(f935(x104651,a923)),f330(x104654,f385(x104655,x104653,x104654,x104651,x104657,x104656,x104652))),x104655))+P108(f330(f330(f332(f935(x104651,a923)),f330(f330(f40(x104652,f935(x104651,a923)),x104653),x104654)),x104655)) % 199.49/199.85 [8651]~P72(x86512)+~P25(x86511,x86515,x86518,x86514)+~E(x86513,f330(f74(x86515,x86512,x86511,x86516),x86518))+~E(x86517,f330(f313(x86511,x86515,x86518),x86514))+E(f330(f330(f9(x86511,x86512),x86513),x86514),f330(f330(f9(x86515,x86512),x86516),x86517)) % 199.49/199.85 [10469]~P72(x104692)+~P25(x104695,x104691,x104698,x104697)+~E(f330(x104696,f433(x104693,x104696,x104694,x104697,x104698,x104691,x104695,x104692)),f330(f330(f74(x104691,x104692,x104695,x104693),x104698),f433(x104693,x104696,x104694,x104697,x104698,x104691,x104695,x104692)))+~E(x104694,f330(f313(x104695,x104691,x104698),x104697))+E(f330(f330(f9(x104691,x104692),x104693),x104694),f330(f330(f9(x104695,x104692),x104696),x104697)) % 199.49/199.85 [10472]~P72(x104722)+~P25(x104721,x104725,x104728,x104724)+~E(x104727,f330(f313(x104721,x104725,x104728),x104724))+E(f330(f330(f9(x104721,x104722),x104723),x104724),f330(f330(f9(x104725,x104722),x104726),x104727))+P108(f330(f330(f332(x104721),f433(x104726,x104723,x104727,x104724,x104728,x104725,x104721,x104722)),x104724)) % 199.49/199.85 [10473]~P76(x104732)+~P25(x104731,x104735,x104738,x104734)+~E(x104737,f330(f313(x104731,x104735,x104738),x104734))+E(f330(f330(f6(x104731,x104732),x104733),x104734),f330(f330(f6(x104735,x104732),x104736),x104737))+P108(f330(f330(f332(x104731),f616(x104736,x104733,x104737,x104734,x104738,x104735,x104731,x104732)),x104734)) % 199.49/199.85 [10478]~P76(x104782)+~P25(x104785,x104781,x104788,x104787)+~E(x104784,f330(f313(x104785,x104781,x104788),x104787))+~E(f330(x104786,f616(x104783,x104786,x104784,x104787,x104788,x104781,x104785,x104782)),f330(x104783,f330(x104788,f616(x104783,x104786,x104784,x104787,x104788,x104781,x104785,x104782))))+E(f330(f330(f6(x104781,x104782),x104783),x104784),f330(f330(f6(x104785,x104782),x104786),x104787)) % 199.49/199.85 [9945]~P23(x99456,x99452,x99455,x99457,x99458,x99451)+~P108(f330(f62(x99452),x99454))+~P108(f330(f62(x99452),x99453))+~E(f330(f330(f104(f935(x99452,a923)),x99453),x99454),f191(f935(x99452,a923)))+E(f330(x99451,f330(f330(f113(f935(x99452,a923)),x99453),x99454)),f330(f330(x99455,f330(x99451,x99453)),f330(x99451,x99454))) % 199.49/199.85 [10339]~P23(x103398,x103392,x103395,x103397,x103396,x103391)+~E(f330(x103396,f574(x103394,x103393,x103391,x103396,x103397,x103395,x103392)),x103397)+~P108(f330(f62(x103392),x103393))+~P108(f330(f62(x103392),x103394))+E(f330(x103391,f330(f330(f113(f935(x103392,a923)),x103393),x103394)),f330(f330(x103395,f330(x103391,x103393)),f330(x103391,x103394))) % 199.49/199.85 [10413]~P23(x104138,x104132,x104135,x104137,x104136,x104131)+~P108(f330(f62(x104132),x104133))+~P108(f330(f62(x104132),x104134))+E(f330(x104131,f330(f330(f113(f935(x104132,a923)),x104133),x104134)),f330(f330(x104135,f330(x104131,x104133)),f330(x104131,x104134)))+P108(f330(f330(f332(x104132),f574(x104134,x104133,x104131,x104136,x104137,x104135,x104132)),f330(f330(f104(f935(x104132,a923)),x104133),x104134))) % 199.49/199.85 [10101]~P8(x101014,x101018,x101015)+~P8(x101011,x101019,x101013)+~P12(x101011,x101014,f935(x101012,a923),x101013,x101015,x101017)+P11(x101011,f935(x101012,a923),x101013,f330(f330(f8(f935(x101014,f935(x101012,a923)),f935(x101012,a923),x101011),f330(f40(x101014,f935(x101012,a923)),f330(f288(x101014,x101014,x101015),f330(f330(f312(x101014),x101016),f191(f935(x101014,a923)))))),x101017))+~P108(f330(f330(f332(x101014),x101016),x101018)) % 199.49/199.85 [5682]~P110(x56823)+~P13(x56823,x56821)+E(x56821,f736(x56822,x56823))+~E(f330(f175(x56823),x56821),x56822)+~P108(f330(f62(x56823),x56822))+~P108(f330(f140(x56823),x56821)) % 199.49/199.85 [7513]P15(x75131,x75132)+~E(f330(x75132,f817(x75132)),f330(x75132,f818(x75132)))+~P108(f330(f330(x75132,f817(x75132)),f817(x75132)))+~P108(f330(f330(x75132,f817(x75132)),f818(x75132)))+~P108(f330(f330(x75132,f818(x75132)),f818(x75132)))+~P108(f330(f330(x75132,x75133),x75133)) % 199.49/199.85 [5306]~P137(x53062)+~P139(x53062)+~P147(x53062)+~P117(x53062)+E(x53061,f2(x53062))+~E(f330(f330(f247(x53062),x53061),x53063),f2(x53062)) % 199.49/199.85 [5307]~P137(x53072)+~P139(x53072)+~P147(x53072)+~P117(x53072)+~E(x53071,f2(a928))+~E(f330(f330(f247(x53072),x53073),x53071),f2(x53072)) % 199.49/199.85 [6760]~P89(x67601)+~E(x67603,f2(x67601))+~E(x67602,f2(x67601))+E(f330(f330(f82(x67601),x67602),x67603),f2(x67601))+~P108(f330(f330(f238(x67601),f2(x67601)),x67603))+~P108(f330(f330(f238(x67601),f2(x67601)),x67602)) % 199.49/199.85 [9132]~E(f330(f254(a928,a928),x91323),f2(a928))+~E(x91321,f330(f330(f82(a928),f330(f330(f83(a928),f330(f254(a928,a928),x91323)),x91322)),f330(f259(a928,a928),x91323)))+P108(f330(f49(x91321,x91322),x91323))+~P108(f330(f330(f238(a928),f330(f259(a928,a928),x91323)),f2(a928)))+P108(f330(f330(f239(a928),f2(a928)),x91322))+~P108(f330(f330(f239(a928),x91322),f330(f259(a928,a928),x91323))) % 199.49/199.85 [9140]E(x91401,f2(a928))+~E(x91402,f330(f330(f82(a928),f330(f330(f83(a928),f330(f254(a928,a928),x91403)),x91401)),f330(f259(a928,a928),x91403)))+P108(f330(f49(x91402,x91401),x91403))+~P108(f330(f330(f239(a928),f2(a928)),x91401))+~P108(f330(f330(f238(a928),f2(a928)),f330(f259(a928,a928),x91403)))+~P108(f330(f330(f239(a928),f330(f259(a928,a928),x91403)),x91401)) % 199.49/199.85 [9159]~E(f330(f254(a928,a928),x91593),f2(a928))+~E(x91591,f330(f330(f82(a928),f330(f330(f83(a928),f330(f254(a928,a928),x91593)),x91592)),f330(f259(a928,a928),x91593)))+P108(f330(f49(x91591,x91592),x91593))+~P108(f330(f330(f239(a928),f2(a928)),x91592))+~P108(f330(f330(f238(a928),f2(a928)),f330(f259(a928,a928),x91593)))+~P108(f330(f330(f239(a928),f330(f259(a928,a928),x91593)),x91592)) % 199.49/199.85 [7139]~P110(x71392)+E(x71391,f191(f935(x71392,a923)))+E(x71393,f191(f935(x71392,a923)))+~P108(f330(f62(x71392),x71391))+~P108(f330(f62(x71392),x71393))+E(f14(x71392,f330(f330(f113(f935(x71392,a923)),x71393),x71391)),f330(f330(f236(x71392),f14(x71392,x71393)),f14(x71392,x71391))) % 199.49/199.85 [7140]~P110(x71402)+E(x71401,f191(f935(x71402,a923)))+E(x71403,f191(f935(x71402,a923)))+~P108(f330(f62(x71402),x71401))+~P108(f330(f62(x71402),x71403))+E(f15(x71402,f330(f330(f113(f935(x71402,a923)),x71403),x71401)),f330(f330(f237(x71402),f15(x71402,x71403)),f15(x71402,x71401))) % 199.49/199.85 [7141]~P99(x71412)+E(x71411,f191(f935(x71412,a923)))+E(x71413,f191(f935(x71412,a923)))+~P108(f330(f62(x71412),x71411))+~P108(f330(f62(x71412),x71413))+E(f13(x71412,f330(f330(f113(f935(x71412,a923)),x71413),x71411)),f330(f330(f113(x71412),f13(x71412,x71413)),f13(x71412,x71411))) % 199.49/199.85 [7142]~P99(x71422)+E(x71421,f191(f935(x71422,a923)))+E(x71423,f191(f935(x71422,a923)))+~P108(f330(f62(x71422),x71421))+~P108(f330(f62(x71422),x71423))+E(f10(x71422,f330(f330(f113(f935(x71422,a923)),x71423),x71421)),f330(f330(f104(x71422),f10(x71422,x71423)),f10(x71422,x71421))) % 199.49/199.85 [7778]~P98(x77782)+E(x77781,f191(f935(x77782,a923)))+E(x77783,f191(f935(x77782,a923)))+~P108(f330(f62(x77782),x77781))+~P108(f330(f62(x77782),x77783))+E(f330(f330(f83(x77782),f330(f64(x77782,f83(x77782)),x77783)),f330(f64(x77782,f83(x77782)),x77781)),f330(f64(x77782,f83(x77782)),f330(f330(f113(f935(x77782,a923)),x77783),x77781))) % 199.49/199.85 [7938]~P110(x79382)+E(x79381,f191(f935(x79382,a923)))+E(x79383,f191(f935(x79382,a923)))+~P108(f330(f62(x79382),x79381))+~P108(f330(f62(x79382),x79383))+E(f330(f330(f236(x79382),f11(x79382,f236(x79382),x79383)),f11(x79382,f236(x79382),x79381)),f11(x79382,f236(x79382),f330(f330(f113(f935(x79382,a923)),x79383),x79381))) % 199.49/199.85 [7939]~P110(x79392)+E(x79391,f191(f935(x79392,a923)))+E(x79393,f191(f935(x79392,a923)))+~P108(f330(f62(x79392),x79391))+~P108(f330(f62(x79392),x79393))+E(f330(f330(f237(x79392),f12(x79392,f237(x79392),x79393)),f12(x79392,f237(x79392),x79391)),f12(x79392,f237(x79392),f330(f330(f113(f935(x79392,a923)),x79393),x79391))) % 199.49/199.85 [8965]~P108(f330(x89651,x89653))+P108(f330(x89651,f472(x89651,x89652)))+P108(f330(x89651,f465(x89651,x89652)))+~P108(f330(f330(f239(a1),f2(a1)),x89652))+~P108(f330(f330(f332(a1),x89653),f306(a1,f80(a1),x89652)))+P108(f330(x89651,f330(f330(f23(a1),f465(x89651,x89652)),f330(f330(f83(a1),f471(x89651,x89652)),x89652)))) % 199.49/199.85 [9271]~P108(f330(x92711,x92713))+~P108(f330(x92711,f465(x92711,x92712)))+P108(f330(x92711,f472(x92711,x92712)))+~P108(f330(f330(f239(a1),f2(a1)),x92712))+~P108(f330(f330(f332(a1),x92713),f306(a1,f80(a1),x92712)))+~P108(f330(x92711,f330(f330(f23(a1),f465(x92711,x92712)),f330(f330(f83(a1),f471(x92711,x92712)),x92712)))) % 199.49/199.85 [10505]~P102(x105052)+E(x105051,f191(f935(x105052,a923)))+E(x105053,f191(f935(x105052,a923)))+~P108(f330(f62(x105052),x105051))+~P108(f330(f62(x105052),x105053))+E(f13(x105052,f330(f265(x105052),f330(f330(f8(f935(x105052,a923),a923,x105052),f89(x105052)),f330(f330(f8(f935(x105052,f935(x105052,a923)),f935(x105052,a923),x105052),f330(f8(f935(x105052,a923),a923,x105052),f89(x105052))),f330(f330(f7(x105052,f935(x105052,f935(x105052,a923)),f935(x105052,f935(x105052,a923))),f330(f330(f8(f935(x105052,f935(f935(x105052,a923),f935(x105052,a923))),f935(f935(x105052,f935(x105052,a923)),f935(x105052,f935(x105052,a923))),x105052),f18(x105052,f935(x105052,a923),f935(x105052,a923))),f330(f330(f8(f935(x105052,f935(x105052,f935(a923,a923))),f935(x105052,f935(f935(x105052,a923),f935(x105052,a923))),x105052),f330(f8(f935(x105052,f935(a923,a923)),f935(f935(x105052,a923),f935(x105052,a923)),x105052),f18(x105052,a923,a923))),f330(f330(f8(f935(x105052,f935(x105052,a923)),f935(x105052,f935(x105052,f935(a923,a923))),x105052),f330(f8(f935(x105052,a923),f935(x105052,f935(a923,a923)),x105052),f330(f8(a923,f935(a923,a923),x105052),a328))),f330(f330(f7(x105052,f935(x105052,f935(x105052,x105052)),f935(x105052,f935(x105052,a923))),f330(f330(f8(f935(f935(x105052,x105052),f935(x105052,a923)),f935(f935(x105052,f935(x105052,x105052)),f935(x105052,f935(x105052,a923))),x105052),f8(f935(x105052,x105052),f935(x105052,a923),x105052)),f330(f330(f8(f935(x105052,a923),f935(f935(x105052,x105052),f935(x105052,a923)),x105052),f8(x105052,a923,x105052)),a327))),f104(x105052)))))),f330(f330(f7(x105052,f935(x105052,a923),f935(x105052,a923)),f330(f330(f8(f935(a923,a923),f935(f935(x105052,a923),f935(x105052,a923)),x105052),f8(a923,a923,x105052)),f330(f330(f8(a923,f935(a923,a923),x105052),a328),f330(f330(f7(x105052,f935(x105052,a923),a923),f332(x105052)),x105053)))),f330(f330(f7(x105052,f935(x105052,a923),a923),f332(x105052)),x105051))))))),f330(f330(f104(x105052),f13(x105052,x105053)),f13(x105052,x105051))) % 199.49/199.85 [10506]~P102(x105062)+E(x105061,f191(f935(x105062,a923)))+E(x105063,f191(f935(x105062,a923)))+~P108(f330(f62(x105062),x105061))+~P108(f330(f62(x105062),x105063))+E(f10(x105062,f330(f265(x105062),f330(f330(f8(f935(x105062,a923),a923,x105062),f89(x105062)),f330(f330(f8(f935(x105062,f935(x105062,a923)),f935(x105062,a923),x105062),f330(f8(f935(x105062,a923),a923,x105062),f89(x105062))),f330(f330(f7(x105062,f935(x105062,f935(x105062,a923)),f935(x105062,f935(x105062,a923))),f330(f330(f8(f935(x105062,f935(f935(x105062,a923),f935(x105062,a923))),f935(f935(x105062,f935(x105062,a923)),f935(x105062,f935(x105062,a923))),x105062),f18(x105062,f935(x105062,a923),f935(x105062,a923))),f330(f330(f8(f935(x105062,f935(x105062,f935(a923,a923))),f935(x105062,f935(f935(x105062,a923),f935(x105062,a923))),x105062),f330(f8(f935(x105062,f935(a923,a923)),f935(f935(x105062,a923),f935(x105062,a923)),x105062),f18(x105062,a923,a923))),f330(f330(f8(f935(x105062,f935(x105062,a923)),f935(x105062,f935(x105062,f935(a923,a923))),x105062),f330(f8(f935(x105062,a923),f935(x105062,f935(a923,a923)),x105062),f330(f8(a923,f935(a923,a923),x105062),a328))),f330(f330(f7(x105062,f935(x105062,f935(x105062,x105062)),f935(x105062,f935(x105062,a923))),f330(f330(f8(f935(f935(x105062,x105062),f935(x105062,a923)),f935(f935(x105062,f935(x105062,x105062)),f935(x105062,f935(x105062,a923))),x105062),f8(f935(x105062,x105062),f935(x105062,a923),x105062)),f330(f330(f8(f935(x105062,a923),f935(f935(x105062,x105062),f935(x105062,a923)),x105062),f8(x105062,a923,x105062)),a327))),f113(x105062)))))),f330(f330(f7(x105062,f935(x105062,a923),f935(x105062,a923)),f330(f330(f8(f935(a923,a923),f935(f935(x105062,a923),f935(x105062,a923)),x105062),f8(a923,a923,x105062)),f330(f330(f8(a923,f935(a923,a923),x105062),a328),f330(f330(f7(x105062,f935(x105062,a923),a923),f332(x105062)),x105063)))),f330(f330(f7(x105062,f935(x105062,a923),a923),f332(x105062)),x105061))))))),f330(f330(f113(x105062),f10(x105062,x105063)),f10(x105062,x105061))) % 199.49/199.85 [10507]~P110(x105072)+E(x105071,f191(f935(x105072,a923)))+E(x105073,f191(f935(x105072,a923)))+~P108(f330(f62(x105072),x105071))+~P108(f330(f62(x105072),x105073))+E(f12(x105072,f237(x105072),f330(f265(x105072),f330(f330(f8(f935(x105072,a923),a923,x105072),f89(x105072)),f330(f330(f8(f935(x105072,f935(x105072,a923)),f935(x105072,a923),x105072),f330(f8(f935(x105072,a923),a923,x105072),f89(x105072))),f330(f330(f7(x105072,f935(x105072,f935(x105072,a923)),f935(x105072,f935(x105072,a923))),f330(f330(f8(f935(x105072,f935(f935(x105072,a923),f935(x105072,a923))),f935(f935(x105072,f935(x105072,a923)),f935(x105072,f935(x105072,a923))),x105072),f18(x105072,f935(x105072,a923),f935(x105072,a923))),f330(f330(f8(f935(x105072,f935(x105072,f935(a923,a923))),f935(x105072,f935(f935(x105072,a923),f935(x105072,a923))),x105072),f330(f8(f935(x105072,f935(a923,a923)),f935(f935(x105072,a923),f935(x105072,a923)),x105072),f18(x105072,a923,a923))),f330(f330(f8(f935(x105072,f935(x105072,a923)),f935(x105072,f935(x105072,f935(a923,a923))),x105072),f330(f8(f935(x105072,a923),f935(x105072,f935(a923,a923)),x105072),f330(f8(a923,f935(a923,a923),x105072),a328))),f330(f330(f7(x105072,f935(x105072,f935(x105072,x105072)),f935(x105072,f935(x105072,a923))),f330(f330(f8(f935(f935(x105072,x105072),f935(x105072,a923)),f935(f935(x105072,f935(x105072,x105072)),f935(x105072,f935(x105072,a923))),x105072),f8(f935(x105072,x105072),f935(x105072,a923),x105072)),f330(f330(f8(f935(x105072,a923),f935(f935(x105072,x105072),f935(x105072,a923)),x105072),f8(x105072,a923,x105072)),a327))),f236(x105072)))))),f330(f330(f7(x105072,f935(x105072,a923),f935(x105072,a923)),f330(f330(f8(f935(a923,a923),f935(f935(x105072,a923),f935(x105072,a923)),x105072),f8(a923,a923,x105072)),f330(f330(f8(a923,f935(a923,a923),x105072),a328),f330(f330(f7(x105072,f935(x105072,a923),a923),f332(x105072)),x105073)))),f330(f330(f7(x105072,f935(x105072,a923),a923),f332(x105072)),x105071))))))),f330(f330(f236(x105072),f12(x105072,f237(x105072),x105073)),f12(x105072,f237(x105072),x105071))) % 199.49/199.85 [10508]~P110(x105082)+E(x105081,f191(f935(x105082,a923)))+E(x105083,f191(f935(x105082,a923)))+~P108(f330(f62(x105082),x105081))+~P108(f330(f62(x105082),x105083))+E(f11(x105082,f236(x105082),f330(f265(x105082),f330(f330(f8(f935(x105082,a923),a923,x105082),f89(x105082)),f330(f330(f8(f935(x105082,f935(x105082,a923)),f935(x105082,a923),x105082),f330(f8(f935(x105082,a923),a923,x105082),f89(x105082))),f330(f330(f7(x105082,f935(x105082,f935(x105082,a923)),f935(x105082,f935(x105082,a923))),f330(f330(f8(f935(x105082,f935(f935(x105082,a923),f935(x105082,a923))),f935(f935(x105082,f935(x105082,a923)),f935(x105082,f935(x105082,a923))),x105082),f18(x105082,f935(x105082,a923),f935(x105082,a923))),f330(f330(f8(f935(x105082,f935(x105082,f935(a923,a923))),f935(x105082,f935(f935(x105082,a923),f935(x105082,a923))),x105082),f330(f8(f935(x105082,f935(a923,a923)),f935(f935(x105082,a923),f935(x105082,a923)),x105082),f18(x105082,a923,a923))),f330(f330(f8(f935(x105082,f935(x105082,a923)),f935(x105082,f935(x105082,f935(a923,a923))),x105082),f330(f8(f935(x105082,a923),f935(x105082,f935(a923,a923)),x105082),f330(f8(a923,f935(a923,a923),x105082),a328))),f330(f330(f7(x105082,f935(x105082,f935(x105082,x105082)),f935(x105082,f935(x105082,a923))),f330(f330(f8(f935(f935(x105082,x105082),f935(x105082,a923)),f935(f935(x105082,f935(x105082,x105082)),f935(x105082,f935(x105082,a923))),x105082),f8(f935(x105082,x105082),f935(x105082,a923),x105082)),f330(f330(f8(f935(x105082,a923),f935(f935(x105082,x105082),f935(x105082,a923)),x105082),f8(x105082,a923,x105082)),a327))),f237(x105082)))))),f330(f330(f7(x105082,f935(x105082,a923),f935(x105082,a923)),f330(f330(f8(f935(a923,a923),f935(f935(x105082,a923),f935(x105082,a923)),x105082),f8(a923,a923,x105082)),f330(f330(f8(a923,f935(a923,a923),x105082),a328),f330(f330(f7(x105082,f935(x105082,a923),a923),f332(x105082)),x105083)))),f330(f330(f7(x105082,f935(x105082,a923),a923),f332(x105082)),x105081))))))),f330(f330(f237(x105082),f11(x105082,f236(x105082),x105083)),f11(x105082,f236(x105082),x105081))) % 199.49/199.85 [7469]~P113(x74693)+E(x74691,x74692)+~E(f330(f330(f247(x74693),x74691),x74694),f330(f330(f247(x74693),x74692),x74694))+~P108(f330(f330(f238(x74693),f2(x74693)),x74692))+~P108(f330(f330(f238(x74693),f2(x74693)),x74691))+~P108(f330(f330(f239(a928),f2(a928)),x74694)) % 199.49/199.85 [7738]~P110(x77382)+E(x77381,f191(f935(x77382,a923)))+~P108(f330(f62(x77382),x77381))+~P108(f330(f330(f332(x77382),x77384),x77381))+P108(f330(f330(f238(x77382),x77383),x77384))+~P108(f330(f330(f238(x77382),x77383),f330(f64(x77382,f236(x77382)),x77381))) % 199.49/199.86 [7739]~P104(x77392)+E(x77391,f191(f935(x77392,a923)))+~P108(f330(f62(x77392),x77391))+~P108(f330(f330(f332(x77392),x77394),x77391))+P108(f330(f330(f238(x77392),x77393),x77394))+~P108(f330(f330(f238(x77392),x77393),f330(f64(x77392,f104(x77392)),x77391))) % 199.49/199.86 [7740]~P110(x77402)+E(x77401,f191(f935(x77402,a923)))+~P108(f330(f62(x77402),x77401))+~P108(f330(f330(f332(x77402),x77404),x77401))+P108(f330(f330(f239(x77402),x77403),x77404))+~P108(f330(f330(f239(x77402),x77403),f330(f64(x77402,f236(x77402)),x77401))) % 199.49/199.86 [7645]E(x76451,f2(a1))+E(f330(f330(f37(a1),x76452),x76451),x76453)+~P108(f330(f330(f238(a1),x76454),f2(a1)))+~E(x76452,f330(f330(f82(a1),f330(f330(f83(a1),x76451),x76453)),x76454))+P108(f330(f330(f239(a1),f2(a1)),x76451))+~P108(f330(f330(f239(a1),x76451),x76454)) % 199.49/199.86 [7660]E(f46(a1,x76602,x76601),x76603)+E(x76601,f2(a1))+~P108(f330(f330(f238(a1),x76603),f2(a1)))+~E(x76602,f330(f330(f82(a1),f330(f330(f83(a1),x76601),x76604)),x76603))+P108(f330(f330(f239(a1),f2(a1)),x76601))+~P108(f330(f330(f239(a1),x76601),x76603)) % 199.49/199.86 [7777]E(x77771,f2(a1))+E(f330(f330(f37(a1),x77772),x77771),x77773)+~E(x77772,f330(f330(f82(a1),f330(f330(f83(a1),x77771),x77773)),x77774))+~P108(f330(f330(f238(a1),f2(a1)),x77774))+~P108(f330(f330(f239(a1),f2(a1)),x77771))+~P108(f330(f330(f239(a1),x77774),x77771)) % 199.49/199.86 [7799]E(f46(a1,x77992,x77991),x77993)+E(x77991,f2(a1))+~E(x77992,f330(f330(f82(a1),f330(f330(f83(a1),x77991),x77994)),x77993))+~P108(f330(f330(f238(a1),f2(a1)),x77993))+~P108(f330(f330(f239(a1),f2(a1)),x77991))+~P108(f330(f330(f239(a1),x77993),x77991)) % 199.49/199.86 [7942]~P110(x79422)+E(x79421,f191(f935(x79422,a923)))+~P108(f330(f62(x79422),x79421))+~P108(f330(f330(f332(x79422),x79424),x79421))+~P108(f330(f330(f238(x79422),x79424),x79423))+P108(f330(f330(f238(x79422),f330(f64(x79422,f236(x79422)),x79421)),x79423)) % 199.49/199.86 [7943]~P110(x79432)+E(x79431,f191(f935(x79432,a923)))+~P108(f330(f62(x79432),x79431))+~P108(f330(f330(f239(x79432),x79434),x79433))+~P108(f330(f330(f332(x79432),x79434),x79431))+P108(f330(f330(f239(x79432),f330(f64(x79432,f236(x79432)),x79431)),x79433)) % 199.49/199.86 [8502]~P108(f330(f330(f238(a1),x85024),f2(a1)))+~E(x85021,f330(f330(f82(a1),f330(f330(f83(a1),x85022),x85023)),x85024))+~P108(f330(f330(f238(a1),f2(a1)),x85024))+~P108(f330(f330(f239(a1),x85024),x85022))+~P108(f330(f330(f239(a1),x85022),x85024))+P108(f330(f50(x85021,x85022),f330(f330(f255(a1,a1),x85023),x85024))) % 199.49/199.86 [8670]~P112(x86701)+P108(f330(f330(f239(f935(x86701,a923)),f306(x86701,x86702,x86703)),f306(x86701,x86704,x86705)))+~P108(f330(f330(f238(x86701),x86704),x86702))+~P108(f330(f330(f238(x86701),x86704),x86705))+~P108(f330(f330(f238(x86701),x86703),x86705))+~P108(f330(f330(f239(x86701),x86703),x86705)) % 199.49/199.86 [8671]~P112(x86711)+P108(f330(f330(f239(f935(x86711,a923)),f306(x86711,x86712,x86713)),f306(x86711,x86714,x86715)))+~P108(f330(f330(f238(x86711),x86713),x86715))+~P108(f330(f330(f238(x86711),x86714),x86715))+~P108(f330(f330(f238(x86711),x86714),x86712))+~P108(f330(f330(f239(x86711),x86714),x86712)) % 199.49/199.86 [9531]P61(x95312,x95313,x95314,x95311)+E(x95311,f191(f935(x95312,a923)))+~P108(f330(f62(x95312),x95314))+~P108(f330(f62(x95312),x95311))+~P108(f330(f330(x95313,f521(x95311,x95314,x95313,x95312)),x95315))+~P108(f330(f330(f332(x95312),x95315),x95311)) % 199.49/199.86 [9532]P61(x95322,x95323,x95324,x95321)+E(x95321,f191(f935(x95322,a923)))+~P108(f330(f62(x95322),x95324))+~P108(f330(f62(x95322),x95321))+~P108(f330(f330(x95323,f808(x95323,x95321,x95324,x95322)),x95325))+~P108(f330(f330(f332(x95322),x95325),x95321)) % 199.49/199.86 [9533]P61(x95332,x95333,x95334,x95331)+E(x95331,f191(f935(x95332,a923)))+~P108(f330(f62(x95332),x95334))+~P108(f330(f62(x95332),x95331))+~P108(f330(f330(x95333,f809(x95331,x95334,x95333,x95332)),x95335))+~P108(f330(f330(f332(x95332),x95335),x95331)) % 199.49/199.86 [9681]~E(x96813,x96815)+~P72(x96811)+~P76(x96811)+~P42(x96813)+E(f330(f330(f9(a1,x96811),x96812),x96813),f330(f330(f9(a1,x96811),x96814),x96815))+P108(f330(f330(f238(a1),f2(a1)),f501(x96812,x96814,x96813,x96815,x96811))) % 199.49/199.86 [9682]~E(x96823,x96825)+~P72(x96821)+~P76(x96821)+~P42(x96823)+E(f330(f330(f6(a1,x96821),x96822),x96823),f330(f330(f6(a1,x96821),x96824),x96825))+P108(f330(f330(f238(a1),f2(a1)),f503(x96822,x96824,x96823,x96825,x96821))) % 199.49/199.86 [9855]~E(x98555,x98553)+~P72(x98551)+~P76(x98551)+~P42(x98555)+~E(f330(x98552,f501(x98554,x98552,x98555,x98553,x98551)),f330(x98554,f501(x98554,x98552,x98555,x98553,x98551)))+E(f330(f330(f9(a1,x98551),x98552),x98553),f330(f330(f9(a1,x98551),x98554),x98555)) % 199.49/199.86 [9856]~E(x98565,x98563)+~P72(x98561)+~P76(x98561)+~P42(x98565)+~E(f330(x98562,f503(x98564,x98562,x98565,x98563,x98561)),f330(x98564,f503(x98564,x98562,x98565,x98563,x98561)))+E(f330(f330(f6(a1,x98561),x98562),x98563),f330(f330(f6(a1,x98561),x98564),x98565)) % 199.49/199.86 [9943]~P80(x99433)+E(f330(x99431,x99432),f2(x99433))+~E(f330(f330(f6(x99434,x99433),x99431),x99435),f2(x99433))+~P108(f330(f62(x99434),x99435))+P108(f330(f330(f332(x99434),f498(x99432,x99431,x99435,x99434,x99433)),x99435))+~P108(f330(f330(f332(x99434),x99432),x99435)) % 199.49/199.86 [10072]~P80(x100723)+E(f330(x100721,x100722),f2(x100723))+~E(f330(f330(f6(x100724,x100723),x100721),x100725),f2(x100723))+~P108(f330(f62(x100724),x100725))+~P108(f330(f330(f332(x100724),x100722),x100725))+~P108(f330(f330(f238(x100723),f2(x100723)),f330(x100721,f498(x100722,x100721,x100725,x100724,x100723)))) % 199.49/199.86 [8588]~P142(x85881)+~P108(f330(f330(f238(x85881),x85883),x85885))+~P108(f330(f330(f238(x85881),x85882),x85884))+~P108(f330(f330(f238(x85881),f2(x85881)),x85883))+~P108(f330(f330(f238(x85881),f2(x85881)),x85884))+P108(f330(f330(f238(x85881),f330(f330(f83(x85881),x85882),x85883)),f330(f330(f83(x85881),x85884),x85885))) % 199.49/199.86 [8589]~P142(x85891)+~P108(f330(f330(f238(x85891),x85893),x85895))+~P108(f330(f330(f238(x85891),x85892),x85894))+~P108(f330(f330(f238(x85891),f2(x85891)),x85893))+~P108(f330(f330(f238(x85891),f2(x85891)),x85892))+P108(f330(f330(f238(x85891),f330(f330(f83(x85891),x85892),x85893)),f330(f330(f83(x85891),x85894),x85895))) % 199.49/199.86 [8590]~P69(x85901)+~P108(f330(f330(f239(x85901),f2(x85901)),x85905))+~P108(f330(f330(f238(x85901),x85905),x85903))+~P108(f330(f330(f238(x85901),x85902),x85904))+~P108(f330(f330(f238(x85901),f2(x85901)),x85902))+P108(f330(f330(f238(x85901),f330(f330(f294(x85901),x85902),x85903)),f330(f330(f294(x85901),x85904),x85905))) % 199.49/199.86 [8591]~P138(x85911)+~P108(f330(f330(f238(x85911),x85913),x85915))+~P108(f330(f330(f238(x85911),f2(x85911)),x85912))+~P108(f330(f330(f239(x85911),x85912),x85914))+~P108(f330(f330(f239(x85911),f2(x85911)),x85913))+P108(f330(f330(f239(x85911),f330(f330(f83(x85911),x85912),x85913)),f330(f330(f83(x85911),x85914),x85915))) % 199.49/199.86 [8592]~P138(x85921)+~P108(f330(f330(f238(x85921),x85922),x85924))+~P108(f330(f330(f238(x85921),f2(x85921)),x85923))+~P108(f330(f330(f239(x85921),x85923),x85925))+~P108(f330(f330(f239(x85921),f2(x85921)),x85922))+P108(f330(f330(f239(x85921),f330(f330(f83(x85921),x85922),x85923)),f330(f330(f83(x85921),x85924),x85925))) % 199.49/199.86 [8593]~P138(x85931)+~P108(f330(f330(f238(x85931),f2(x85931)),x85933))+~P108(f330(f330(f238(x85931),f2(x85931)),x85932))+~P108(f330(f330(f239(x85931),x85933),x85935))+~P108(f330(f330(f239(x85931),x85932),x85934))+P108(f330(f330(f239(x85931),f330(f330(f83(x85931),x85932),x85933)),f330(f330(f83(x85931),x85934),x85935))) % 199.49/199.86 [8594]~P138(x85941)+~P108(f330(f330(f238(x85941),f2(x85941)),x85943))+~P108(f330(f330(f239(x85941),x85943),x85945))+~P108(f330(f330(f239(x85941),x85942),x85944))+~P108(f330(f330(f239(x85941),f2(x85941)),x85944))+P108(f330(f330(f239(x85941),f330(f330(f83(x85941),x85942),x85943)),f330(f330(f83(x85941),x85944),x85945))) % 199.49/199.86 [8595]~P69(x85951)+~P108(f330(f330(f238(x85951),x85955),x85953))+~P108(f330(f330(f238(x85951),f2(x85951)),x85952))+~P108(f330(f330(f239(x85951),x85952),x85954))+~P108(f330(f330(f239(x85951),f2(x85951)),x85955))+P108(f330(f330(f239(x85951),f330(f330(f294(x85951),x85952),x85953)),f330(f330(f294(x85951),x85954),x85955))) % 199.49/199.86 [8596]~P69(x85961)+~P108(f330(f330(f238(x85961),x85962),x85964))+~P108(f330(f330(f239(x85961),x85965),x85963))+~P108(f330(f330(f239(x85961),f2(x85961)),x85965))+~P108(f330(f330(f239(x85961),f2(x85961)),x85962))+P108(f330(f330(f239(x85961),f330(f330(f294(x85961),x85962),x85963)),f330(f330(f294(x85961),x85964),x85965))) % 199.49/199.86 [9987]~P87(x99875)+~P76(x99875)+E(x99871,f191(f935(x99872,a923)))+~P108(f330(f62(x99872),x99871))+P108(f330(f330(f332(x99872),f502(x99873,x99874,x99871,x99872,x99875)),x99871))+P108(f330(f330(f239(x99875),f330(f330(f6(x99872,x99875),x99874),x99871)),f330(f330(f6(x99872,x99875),x99873),x99871))) % 199.49/199.86 [10097]~P85(x100971)+~P76(x100971)+~P108(f330(f62(x100972),x100975))+~P108(f330(f330(f238(x100971),f2(x100971)),f330(x100973,f488(x100973,x100974,x100975,x100972,x100971))))+P108(f330(f330(f238(x100971),f330(f330(f6(x100972,x100971),x100973),x100974)),f330(f330(f6(x100972,x100971),x100973),x100975)))+~P108(f330(f330(f238(f935(x100972,a923)),x100974),x100975)) % 199.49/199.86 [10259]~P87(x102593)+~P76(x102593)+E(x102591,f191(f935(x102592,a923)))+~P108(f330(f62(x102592),x102591))+~P108(f330(f330(f239(x102593),f330(x102594,f502(x102595,x102594,x102591,x102592,x102593))),f330(x102595,f502(x102595,x102594,x102591,x102592,x102593))))+P108(f330(f330(f239(x102593),f330(f330(f6(x102592,x102593),x102594),x102591)),f330(f330(f6(x102592,x102593),x102595),x102591))) % 199.49/199.86 [7323]~P17(x73232,x73235,x73234)+E(x73231,f191(f935(x73232,a923)))+E(x73233,f191(f935(x73232,a923)))+~P108(f330(f62(x73232),x73231))+~P108(f330(f62(x73232),x73233))+E(f330(x73234,f330(f330(f113(f935(x73232,a923)),x73233),x73231)),f330(f330(x73235,f330(x73234,x73233)),f330(x73234,x73231))) % 199.49/199.86 [7909]~P151(x79091,x79093,x79094)+P108(f330(x79091,x79092))+~P108(f330(f330(f239(a1),x79094),f2(a1)))+~P108(f330(f330(f238(a1),x79095),f2(a1)))+~E(x79093,f330(f330(f82(a1),f330(f330(f83(a1),x79094),x79092)),x79095))+~P108(f330(f330(f239(a1),x79094),x79095)) % 199.49/199.86 [7910]~P150(x79101,x79103,x79104)+P108(f330(x79101,x79102))+~P108(f330(f330(f239(a1),x79104),f2(a1)))+~P108(f330(f330(f238(a1),x79102),f2(a1)))+~E(x79103,f330(f330(f82(a1),f330(f330(f83(a1),x79104),x79105)),x79102))+~P108(f330(f330(f239(a1),x79104),x79102)) % 199.49/199.86 [7951]~P151(x79511,x79513,x79514)+P108(f330(x79511,x79512))+~E(x79513,f330(f330(f82(a1),f330(f330(f83(a1),x79514),x79512)),x79515))+~P108(f330(f330(f238(a1),f2(a1)),x79515))+~P108(f330(f330(f239(a1),f2(a1)),x79514))+~P108(f330(f330(f239(a1),x79515),x79514)) % 199.49/199.86 [7952]~P150(x79521,x79523,x79524)+P108(f330(x79521,x79522))+~E(x79523,f330(f330(f82(a1),f330(f330(f83(a1),x79524),x79525)),x79522))+~P108(f330(f330(f238(a1),f2(a1)),x79522))+~P108(f330(f330(f239(a1),f2(a1)),x79524))+~P108(f330(f330(f239(a1),x79522),x79524)) % 199.49/199.86 [8878]P108(f330(f330(x88781,x88782),x88783))+~P108(f330(f330(x88781,f330(f330(f37(a1),x88784),x88785)),f46(a1,x88784,x88785)))+~P108(f330(f330(f239(a1),x88785),f2(a1)))+~P108(f330(f330(f238(a1),x88783),f2(a1)))+~E(x88784,f330(f330(f82(a1),f330(f330(f83(a1),x88785),x88782)),x88783))+~P108(f330(f330(f239(a1),x88785),x88783)) % 199.49/199.86 [8887]P108(f330(f330(x88871,x88872),x88873))+~P108(f330(f330(x88871,f330(f330(f37(a1),x88874),x88875)),f46(a1,x88874,x88875)))+~E(x88874,f330(f330(f82(a1),f330(f330(f83(a1),x88875),x88872)),x88873))+~P108(f330(f330(f238(a1),f2(a1)),x88873))+~P108(f330(f330(f239(a1),f2(a1)),x88875))+~P108(f330(f330(f239(a1),x88873),x88875)) % 199.49/199.86 [9148]E(x91481,x91482)+~P58(x91483,x91485,x91484)+~P108(f330(f330(f332(x91483),x91482),x91485))+~P108(f330(f330(f332(x91483),x91481),x91485))+P108(f330(f330(f332(f934(x91483,x91483)),f330(f330(f255(x91483,x91483),x91481),x91482)),x91484))+P108(f330(f330(f332(f934(x91483,x91483)),f330(f330(f255(x91483,x91483),x91482),x91481)),x91484)) % 199.49/199.86 [10014]~P85(x100145)+~P76(x100145)+~P108(f330(f62(x100141),x100144))+P108(f330(f330(f238(x100145),f330(f330(f6(x100141,x100145),x100142),x100143)),f330(f330(f6(x100141,x100145),x100142),x100144)))+~P108(f330(f330(f238(f935(x100141,a923)),x100143),x100144))+P108(f330(f330(f332(x100141),f488(x100142,x100143,x100144,x100141,x100145)),f330(f330(f23(f935(x100141,a923)),x100144),x100143))) % 199.49/199.86 [10105]E(x101051,f191(f935(x101052,a923)))+~P108(f330(f62(x101052),x101053))+~P108(f330(f62(x101052),x101051))+P108(f330(f330(f332(f934(f935(x101052,a923),f935(x101052,a923))),f330(f330(f255(f935(x101052,a923),f935(x101052,a923)),x101053),x101051)),f321(x101052,x101054)))+~P108(f330(f330(f332(x101052),x101055),x101051))+~P108(f330(f330(f332(f934(x101052,x101052)),f330(f330(f255(x101052,x101052),f531(x101054,x101051,x101053,x101052)),x101055)),x101054)) % 199.49/199.86 [10106]E(x101061,f191(f935(x101062,a923)))+~P108(f330(f62(x101062),x101063))+~P108(f330(f62(x101062),x101061))+P108(f330(f330(f332(f934(f935(x101062,a923),f935(x101062,a923))),f330(f330(f255(f935(x101062,a923),f935(x101062,a923)),x101063),x101061)),f321(x101062,x101064)))+~P108(f330(f330(f332(x101062),x101065),x101061))+~P108(f330(f330(f332(f934(x101062,x101062)),f330(f330(f255(x101062,x101062),f606(x101064,x101061,x101063,x101062)),x101065)),x101064)) % 199.49/199.86 [10263]~P80(x102631)+~E(f330(f330(f6(x102635,x102631),x102632),x102636),x102634)+~P108(f330(f62(x102635),x102636))+P108(f330(f330(f332(x102635),f499(x102633,x102634,x102632,x102636,x102635,x102631)),x102636))+P108(f330(f330(f238(x102631),f330(x102632,x102633)),x102634))+~P108(f330(f330(f332(x102635),x102633),x102636)) % 199.49/199.86 [10309]~P80(x103091)+~E(f330(f330(f6(x103095,x103091),x103092),x103096),x103094)+~P108(f330(f62(x103095),x103096))+~P108(f330(f330(f332(x103095),x103093),x103096))+~P108(f330(f330(f238(x103091),f2(x103091)),f330(x103092,f499(x103093,x103094,x103092,x103096,x103095,x103091))))+P108(f330(f330(f238(x103091),f330(x103092,x103093)),x103094)) % 199.49/199.86 [10451]~E(x104515,x104518)+~E(x104514,x104517)+~P111(x104511)+~P76(x104512)+E(f330(f330(f6(x104511,x104512),x104513),f330(f305(x104511,x104514),x104515)),f330(f330(f6(x104511,x104512),x104516),f330(f305(x104511,x104517),x104518)))+P108(f330(f330(f238(x104511),x104514),f615(x104513,x104516,x104515,x104518,x104514,x104517,x104511,x104512))) % 199.49/199.86 [10468]~E(x104687,x104684)+~E(x104688,x104685)+~P111(x104681)+~P76(x104682)+~E(f330(x104683,f615(x104686,x104683,x104688,x104685,x104687,x104684,x104681,x104682)),f330(x104686,f615(x104686,x104683,x104688,x104685,x104687,x104684,x104681,x104682)))+E(f330(f330(f6(x104681,x104682),x104683),f330(f305(x104681,x104684),x104685)),f330(f330(f6(x104681,x104682),x104686),f330(f305(x104681,x104687),x104688))) % 199.49/199.86 [10471]~E(x104714,x104717)+~E(x104715,x104718)+~P111(x104711)+~P76(x104712)+E(f330(f330(f6(x104711,x104712),x104713),f330(f305(x104711,x104714),x104715)),f330(f330(f6(x104711,x104712),x104716),f330(f305(x104711,x104717),x104718)))+P108(f330(f330(f239(x104711),f615(x104713,x104716,x104715,x104718,x104714,x104717,x104711,x104712)),x104715)) % 199.49/199.86 [10112]~P8(x101125,x101129,x101126)+~P8(x101121,x1011210,x101123)+~P12(x101121,x101125,f935(x101122,a923),x101123,x101126,x101128)+~P108(f330(f330(f332(x101125),x101127),x101129))+~P108(f330(f330(f332(x101121),x101124),x1011210))+E(f330(f330(f40(x101121,f935(x101122,a923)),f330(f288(x101121,x101121,x101123),f330(f330(f312(x101121),x101124),f191(f935(x101121,a923))))),f330(f330(f8(f935(x101125,f935(x101122,a923)),f935(x101122,a923),x101121),f330(f40(x101125,f935(x101122,a923)),f330(f288(x101125,x101125,x101126),f330(f330(f312(x101125),x101127),f191(f935(x101125,a923)))))),x101128)),f330(f330(x101128,x101124),x101127)) % 199.49/199.86 [5854]~P110(x58543)+~P13(x58543,x58542)+~P13(x58543,x58541)+E(x58541,x58542)+~E(f330(f175(x58543),x58541),f330(f175(x58543),x58542))+~P108(f330(f140(x58543),x58542))+~P108(f330(f140(x58543),x58541)) % 199.49/199.86 [5186]~P137(x51862)+~P139(x51862)+~P147(x51862)+~P117(x51862)+~E(x51863,f2(x51862))+E(x51861,f2(a928))+E(f330(f330(f247(x51862),x51863),x51861),f2(x51862)) % 199.49/199.86 [9409]E(x94091,f2(a928))+~E(x94092,f330(f330(f82(a928),f330(f330(f83(a928),f330(f254(a928,a928),x94093)),x94091)),f330(f259(a928,a928),x94093)))+P108(f330(f49(x94092,x94091),x94093))+~P108(f330(f330(f238(a928),f330(f259(a928,a928),x94093)),f2(a928)))+~P108(f330(f330(f238(a928),f2(a928)),f330(f259(a928,a928),x94093)))+~P108(f330(f330(f239(a928),x94091),f330(f259(a928,a928),x94093)))+~P108(f330(f330(f239(a928),f330(f259(a928,a928),x94093)),x94091)) % 199.49/199.86 [9417]~E(f330(f254(a928,a928),x94173),f2(a928))+~E(x94171,f330(f330(f82(a928),f330(f330(f83(a928),f330(f254(a928,a928),x94173)),x94172)),f330(f259(a928,a928),x94173)))+P108(f330(f49(x94171,x94172),x94173))+~P108(f330(f330(f238(a928),f330(f259(a928,a928),x94173)),f2(a928)))+~P108(f330(f330(f238(a928),f2(a928)),f330(f259(a928,a928),x94173)))+~P108(f330(f330(f239(a928),x94172),f330(f259(a928,a928),x94173)))+~P108(f330(f330(f239(a928),f330(f259(a928,a928),x94173)),x94172)) % 199.49/199.86 [8259]~P70(x82592)+E(x82591,f191(f935(x82592,a923)))+E(x82593,f191(f935(x82592,a923)))+~P108(f330(f62(x82592),x82591))+~P108(f330(f62(x82592),x82593))+~E(f330(f330(f104(f935(x82592,a923)),x82593),x82591),f191(f935(x82592,a923)))+E(f330(f330(f83(x82592),f330(f64(x82592,f83(x82592)),x82593)),f330(f64(x82592,f83(x82592)),x82591)),f330(f64(x82592,f83(x82592)),f330(f330(f113(f935(x82592,a923)),x82593),x82591))) % 199.49/199.86 [8045]E(x80451,f2(a1))+E(f330(f330(f37(a1),x80452),x80451),x80453)+~P108(f330(f330(f238(a1),x80454),f2(a1)))+~E(x80452,f330(f330(f82(a1),f330(f330(f83(a1),x80451),x80453)),x80454))+~P108(f330(f330(f238(a1),f2(a1)),x80454))+~P108(f330(f330(f239(a1),x80454),x80451))+~P108(f330(f330(f239(a1),x80451),x80454)) % 199.49/199.86 [8053]E(f46(a1,x80532,x80531),x80533)+E(x80531,f2(a1))+~P108(f330(f330(f238(a1),x80533),f2(a1)))+~E(x80532,f330(f330(f82(a1),f330(f330(f83(a1),x80531),x80534)),x80533))+~P108(f330(f330(f238(a1),f2(a1)),x80533))+~P108(f330(f330(f239(a1),x80533),x80531))+~P108(f330(f330(f239(a1),x80531),x80533)) % 199.49/199.86 [7106]~P63(x71062)+E(x71061,f2(x71062))+E(x71063,f2(x71062))+~E(f330(f330(f37(x71062),x71064),x71063),f330(f330(f37(x71062),x71065),x71061))+E(f330(f330(f83(x71062),x71064),x71061),f330(f330(f83(x71062),x71063),x71065))+~P108(f330(f330(f290(x71062),x71061),x71065))+~P108(f330(f330(f290(x71062),x71063),x71064)) % 199.49/199.86 [7107]~P63(x71072)+E(x71071,f2(x71072))+E(x71073,f2(x71072))+~E(f330(f330(f83(x71072),x71074),x71073),f330(f330(f83(x71072),x71071),x71075))+E(f330(f330(f37(x71072),x71074),x71071),f330(f330(f37(x71072),x71075),x71073))+~P108(f330(f330(f290(x71072),x71071),x71074))+~P108(f330(f330(f290(x71072),x71073),x71075)) % 199.49/199.86 [7960]~P18(x79602,x79605,x79604)+E(x79601,f191(f935(x79602,a923)))+E(x79603,f191(f935(x79602,a923)))+~P108(f330(f62(x79602),x79601))+~P108(f330(f62(x79602),x79603))+~E(f330(f330(f104(f935(x79602,a923)),x79603),x79601),f191(f935(x79602,a923)))+E(f330(x79604,f330(f330(f113(f935(x79602,a923)),x79603),x79601)),f330(f330(x79605,f330(x79604,x79603)),f330(x79604,x79601))) % 199.49/199.86 [9654]~P25(x96543,x96541,x96545,x96544)+~P25(x96541,x96543,x96546,x96542)+E(f330(f36(x96541),x96542),f330(f36(x96543),x96544))+~P108(f330(f62(x96543),x96544))+~P108(f330(f62(x96541),x96542))+~P108(f330(f330(f238(f935(x96543,a923)),f330(f313(x96541,x96543,x96546),x96542)),x96544))+~P108(f330(f330(f238(f935(x96541,a923)),f330(f313(x96543,x96541,x96545),x96544)),x96542)) % 199.49/199.86 [9596]~P108(f330(f330(f239(a1),f330(f330(f82(a1),f330(f330(f83(a1),x95965),x95961)),x95966)),f2(a1)))+~E(f330(f330(f82(a1),f330(f330(f83(a1),x95963),x95962)),x95964),f330(f330(f82(a1),f330(f330(f83(a1),x95965),x95961)),x95966))+~P108(f330(f330(f238(a1),f2(a1)),x95966))+~P108(f330(f330(f239(a1),f2(a1)),x95965))+~P108(f330(f330(f238(a1),x95965),x95963))+~P108(f330(f330(f239(a1),x95964),x95963))+P108(f330(f330(f238(a1),x95961),x95962)) % 199.49/199.86 [9360]~E(f330(f330(f82(a1),f330(f330(f83(a1),x93603),x93601)),x93604),f330(f330(f82(a1),f330(f330(f83(a1),x93605),x93602)),x93606))+~P108(f330(f330(f238(a1),f2(a1)),x93604))+~P108(f330(f330(f239(a1),f2(a1)),x93605))+~P108(f330(f330(f238(a1),x93605),x93603))+~P108(f330(f330(f239(a1),x93606),x93605))+P108(f330(f330(f238(a1),x93601),x93602))+~P108(f330(f330(f238(a1),f2(a1)),f330(f330(f82(a1),f330(f330(f83(a1),x93605),x93602)),x93606))) % 199.49/199.86 [9536]~P136(x95361)+~E(f330(f330(f82(x95361),x95362),x95364),f80(x95361))+~P108(f330(f330(f238(x95361),x95365),x95366))+~P108(f330(f330(f238(x95361),x95363),x95366))+~P108(f330(f330(f238(x95361),f2(x95361)),x95364))+~P108(f330(f330(f238(x95361),f2(x95361)),x95362))+P108(f330(f330(f238(x95361),f330(f330(f82(x95361),f330(f330(f83(x95361),x95362),x95363)),f330(f330(f83(x95361),x95364),x95365))),x95366)) % 199.49/199.86 [9537]~P134(x95371)+~E(f330(f330(f82(x95371),x95372),x95374),f80(x95371))+~P108(f330(f330(f238(x95371),f2(x95371)),x95374))+~P108(f330(f330(f238(x95371),f2(x95371)),x95372))+~P108(f330(f330(f239(x95371),x95375),x95376))+~P108(f330(f330(f239(x95371),x95373),x95376))+P108(f330(f330(f239(x95371),f330(f330(f82(x95371),f330(f330(f83(x95371),x95372),x95373)),f330(f330(f83(x95371),x95374),x95375))),x95376)) % 199.49/199.86 [10359]~P8(x103597,x103596,x103595)+E(x103591,x103592)+~P11(x103597,f935(x103594,a923),x103595,x103593)+E(f330(x103593,f383(x103591,x103592,x103593,x103594,x103595,x103596,x103597)),f330(x103593,f384(x103591,x103592,x103593,x103594,x103595,x103596,x103597)))+~E(f330(f330(f40(x103597,f935(x103594,a923)),x103591),x103593),f330(f330(f40(x103597,f935(x103594,a923)),x103592),x103593))+~P108(f330(f330(f332(f935(x103597,a923)),x103592),f330(f330(f61(x103597),x103596),x103595)))+~P108(f330(f330(f332(f935(x103597,a923)),x103591),f330(f330(f61(x103597),x103596),x103595))) % 199.49/199.86 [10404]~P8(x104043,x104047,x104046)+E(x104041,x104042)+~P11(x104043,f935(x104045,a923),x104046,x104044)+~E(f330(f330(f40(x104043,f935(x104045,a923)),x104041),x104044),f330(f330(f40(x104043,f935(x104045,a923)),x104042),x104044))+P108(f330(f330(f332(x104043),f384(x104041,x104042,x104044,x104045,x104046,x104047,x104043)),x104047))+~P108(f330(f330(f332(f935(x104043,a923)),x104042),f330(f330(f61(x104043),x104047),x104046)))+~P108(f330(f330(f332(f935(x104043,a923)),x104041),f330(f330(f61(x104043),x104047),x104046))) % 199.49/199.86 [10405]~P8(x104053,x104057,x104056)+E(x104051,x104052)+~P11(x104053,f935(x104055,a923),x104056,x104054)+~E(f330(f330(f40(x104053,f935(x104055,a923)),x104051),x104054),f330(f330(f40(x104053,f935(x104055,a923)),x104052),x104054))+P108(f330(f330(f332(x104053),f383(x104051,x104052,x104054,x104055,x104056,x104057,x104053)),x104057))+~P108(f330(f330(f332(f935(x104053,a923)),x104052),f330(f330(f61(x104053),x104057),x104056)))+~P108(f330(f330(f332(f935(x104053,a923)),x104051),f330(f330(f61(x104053),x104057),x104056))) % 199.49/199.86 [10487]E(x104871,x104872)+~P8(x104873,x104876,x104877)+~P11(x104873,f935(x104874,a923),x104877,x104875)+~E(f330(f330(f40(x104873,f935(x104874,a923)),x104871),x104875),f330(f330(f40(x104873,f935(x104874,a923)),x104872),x104875))+~P108(f330(f330(f332(f934(x104873,x104873)),f330(f330(f255(x104873,x104873),f384(x104871,x104872,x104875,x104874,x104877,x104876,x104873)),f383(x104871,x104872,x104875,x104874,x104877,x104876,x104873))),x104877))+~P108(f330(f330(f332(f935(x104873,a923)),x104872),f330(f330(f61(x104873),x104876),x104877)))+~P108(f330(f330(f332(f935(x104873,a923)),x104871),f330(f330(f61(x104873),x104876),x104877))) % 199.49/199.86 [9359]~P8(x93591,x93597,x93594)+~E(x93595,x93596)+~P108(f330(f330(f332(x93591),x93593),x93596))+~P108(f330(f330(f332(x93591),x93592),x93595))+~P108(f330(f330(f332(f935(x93591,a923)),x93596),f330(f330(f61(x93591),x93597),x93594)))+~P108(f330(f330(f332(f935(x93591,a923)),x93595),f330(f330(f61(x93591),x93597),x93594)))+P108(f330(f330(f332(f934(x93591,x93591)),f330(f330(f255(x93591,x93591),x93592),x93593)),x93594)) % 199.49/199.86 [9495]E(x94951,x94952)+~P8(x94953,x94954,x94955)+~P108(f330(f330(f332(x94953),x94956),x94952))+~P108(f330(f330(f332(x94953),x94957),x94951))+~P108(f330(f330(f332(f935(x94953,a923)),x94952),f330(f330(f61(x94953),x94954),x94955)))+~P108(f330(f330(f332(f935(x94953,a923)),x94951),f330(f330(f61(x94953),x94954),x94955)))+~P108(f330(f330(f332(f934(x94953,x94953)),f330(f330(f255(x94953,x94953),x94957),x94956)),x94955)) % 199.49/199.86 [10514]~P8(x105149,x105148,x105147)+~P8(x105141,x1051411,x1051410)+~P12(x105141,x105149,f935(x105146,a923),x1051410,x105147,x105145)+P108(f330(f330(f332(x105141),f386(x105142,x105143,x105144,x105145,x105146,x105147,x105148,x105149,x1051410,x1051411,x105141)),x1051411))+~P108(f330(f330(f332(f935(x105149,a923)),x105143),f330(f330(f61(x105149),x105148),x105147)))+~P108(f330(f330(f332(f935(x105141,a923)),x105144),f330(f330(f61(x105141),x1051411),x1051410)))+P108(f330(f330(f332(f935(x105146,a923)),f330(f330(f40(x105141,f935(x105146,a923)),x105144),f330(f330(f8(f935(x105149,f935(x105146,a923)),f935(x105146,a923),x105141),f330(f40(x105149,f935(x105146,a923)),x105143)),x105145))),x105142)) % 199.49/199.86 [10515]~P8(x1051511,x1051510,x105159)+~P8(x105151,x105158,x105157)+~P12(x1051511,x105151,f935(x105156,a923),x105159,x105157,x105155)+P108(f330(f330(f332(x105151),f387(x105152,x105153,x105154,x105155,x105156,x105157,x105158,x105151,x105159,x1051510,x1051511)),x105158))+~P108(f330(f330(f332(f935(x1051511,a923)),x105154),f330(f330(f61(x1051511),x1051510),x105159)))+~P108(f330(f330(f332(f935(x105151,a923)),x105153),f330(f330(f61(x105151),x105158),x105157)))+P108(f330(f330(f332(f935(x105156,a923)),f330(f330(f40(x1051511,f935(x105156,a923)),x105154),f330(f330(f8(f935(x105151,f935(x105156,a923)),f935(x105156,a923),x1051511),f330(f40(x105151,f935(x105156,a923)),x105153)),x105155))),x105152)) % 199.49/199.86 [10518]~P8(x105182,x105188,x105189)+~P8(x105184,x1051810,x1051811)+~P12(x105182,x105184,f935(x105181,a923),x105189,x1051811,x105186)+~P108(f330(f330(f332(f935(x105182,a923)),x105183),f330(f330(f61(x105182),x105188),x105189)))+~P108(f330(f330(f332(f935(x105184,a923)),x105185),f330(f330(f61(x105184),x1051810),x1051811)))+~P108(f330(f330(f332(f935(x105181,a923)),f330(f330(x105186,f386(x105187,x105185,x105183,x105186,x105181,x1051811,x1051810,x105184,x105189,x105188,x105182)),f387(x105187,x105185,x105183,x105186,x105181,x1051811,x1051810,x105184,x105189,x105188,x105182))),x105187))+P108(f330(f330(f332(f935(x105181,a923)),f330(f330(f40(x105182,f935(x105181,a923)),x105183),f330(f330(f8(f935(x105184,f935(x105181,a923)),f935(x105181,a923),x105182),f330(f40(x105184,f935(x105181,a923)),x105185)),x105186))),x105187)) % 199.49/199.86 [9395]E(x93951,x93952)+~P110(x93954)+~P25(x93953,x93954,x93955,f330(f330(f113(f935(x93953,a923)),f330(f175(x93953),x93951)),f330(f175(x93953),x93952)))+~E(f330(f175(x93953),x93951),f330(f175(x93953),x93952))+~P13(x93954,f330(f330(f157(x93953,x93954),x93955),x93952))+~P13(x93954,f330(f330(f157(x93953,x93954),x93955),x93951))+~P108(f330(f140(x93954),f330(f330(f157(x93953,x93954),x93955),x93952)))+~P108(f330(f140(x93954),f330(f330(f157(x93953,x93954),x93955),x93951))) % 199.49/199.86 %EqnAxiom % 199.49/199.86 [1]E(x11,x11) % 199.49/199.86 [2]E(x22,x21)+~E(x21,x22) % 199.49/199.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 199.49/199.86 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 199.49/199.86 [5]~E(x51,x52)+E(f103(x51),f103(x52)) % 199.49/199.86 [6]~E(x61,x62)+E(f23(x61),f23(x62)) % 199.49/199.86 [7]~E(x71,x72)+E(f191(x71),f191(x72)) % 199.49/199.86 [8]~E(x81,x82)+E(f330(x81,x83),f330(x82,x83)) % 199.49/199.86 [9]~E(x91,x92)+E(f330(x93,x91),f330(x93,x92)) % 199.49/199.86 [10]~E(x101,x102)+E(f29(x101),f29(x102)) % 199.49/199.86 [11]~E(x111,x112)+E(f935(x111,x113),f935(x112,x113)) % 199.49/199.86 [12]~E(x121,x122)+E(f935(x123,x121),f935(x123,x122)) % 199.49/199.86 [13]~E(x131,x132)+E(f236(x131),f236(x132)) % 199.49/199.86 [14]~E(x141,x142)+E(f104(x141),f104(x142)) % 199.49/199.86 [15]~E(x151,x152)+E(f237(x151),f237(x152)) % 199.49/199.86 [16]~E(x161,x162)+E(f113(x161),f113(x162)) % 199.49/199.86 [17]~E(x171,x172)+E(f105(x171),f105(x172)) % 199.49/199.86 [18]~E(x181,x182)+E(f33(x181),f33(x182)) % 199.49/199.86 [19]~E(x191,x192)+E(f86(x191),f86(x192)) % 199.49/199.86 [20]~E(x201,x202)+E(f8(x201,x203,x204),f8(x202,x203,x204)) % 199.49/199.86 [21]~E(x211,x212)+E(f8(x213,x211,x214),f8(x213,x212,x214)) % 199.49/199.86 [22]~E(x221,x222)+E(f8(x223,x224,x221),f8(x223,x224,x222)) % 199.49/199.86 [23]~E(x231,x232)+E(f471(x231,x233),f471(x232,x233)) % 199.49/199.86 [24]~E(x241,x242)+E(f471(x243,x241),f471(x243,x242)) % 199.49/199.86 [25]~E(x251,x252)+E(f387(x251,x253,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512),f387(x252,x253,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512)) % 199.49/199.86 [26]~E(x261,x262)+E(f387(x263,x261,x264,x265,x266,x267,x268,x269,x2610,x2611,x2612),f387(x263,x262,x264,x265,x266,x267,x268,x269,x2610,x2611,x2612)) % 199.49/199.86 [27]~E(x271,x272)+E(f387(x273,x274,x271,x275,x276,x277,x278,x279,x2710,x2711,x2712),f387(x273,x274,x272,x275,x276,x277,x278,x279,x2710,x2711,x2712)) % 199.49/199.86 [28]~E(x281,x282)+E(f387(x283,x284,x285,x281,x286,x287,x288,x289,x2810,x2811,x2812),f387(x283,x284,x285,x282,x286,x287,x288,x289,x2810,x2811,x2812)) % 199.49/199.86 [29]~E(x291,x292)+E(f387(x293,x294,x295,x296,x291,x297,x298,x299,x2910,x2911,x2912),f387(x293,x294,x295,x296,x292,x297,x298,x299,x2910,x2911,x2912)) % 199.49/199.86 [30]~E(x301,x302)+E(f387(x303,x304,x305,x306,x307,x301,x308,x309,x3010,x3011,x3012),f387(x303,x304,x305,x306,x307,x302,x308,x309,x3010,x3011,x3012)) % 199.49/199.86 [31]~E(x311,x312)+E(f387(x313,x314,x315,x316,x317,x318,x311,x319,x3110,x3111,x3112),f387(x313,x314,x315,x316,x317,x318,x312,x319,x3110,x3111,x3112)) % 199.49/199.86 [32]~E(x321,x322)+E(f387(x323,x324,x325,x326,x327,x328,x329,x321,x3210,x3211,x3212),f387(x323,x324,x325,x326,x327,x328,x329,x322,x3210,x3211,x3212)) % 199.49/199.86 [33]~E(x331,x332)+E(f387(x333,x334,x335,x336,x337,x338,x339,x3310,x331,x3311,x3312),f387(x333,x334,x335,x336,x337,x338,x339,x3310,x332,x3311,x3312)) % 199.49/199.86 [34]~E(x341,x342)+E(f387(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x341,x3412),f387(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x342,x3412)) % 199.49/199.86 [35]~E(x351,x352)+E(f387(x353,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512,x351),f387(x353,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512,x352)) % 199.49/199.86 [36]~E(x361,x362)+E(f80(x361),f80(x362)) % 199.49/199.86 [37]~E(x371,x372)+E(f83(x371),f83(x372)) % 199.49/199.86 [38]~E(x381,x382)+E(f386(x381,x383,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f386(x382,x383,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812)) % 199.49/199.86 [39]~E(x391,x392)+E(f386(x393,x391,x394,x395,x396,x397,x398,x399,x3910,x3911,x3912),f386(x393,x392,x394,x395,x396,x397,x398,x399,x3910,x3911,x3912)) % 199.49/199.86 [40]~E(x401,x402)+E(f386(x403,x404,x401,x405,x406,x407,x408,x409,x4010,x4011,x4012),f386(x403,x404,x402,x405,x406,x407,x408,x409,x4010,x4011,x4012)) % 199.49/199.86 [41]~E(x411,x412)+E(f386(x413,x414,x415,x411,x416,x417,x418,x419,x4110,x4111,x4112),f386(x413,x414,x415,x412,x416,x417,x418,x419,x4110,x4111,x4112)) % 199.49/199.86 [42]~E(x421,x422)+E(f386(x423,x424,x425,x426,x421,x427,x428,x429,x4210,x4211,x4212),f386(x423,x424,x425,x426,x422,x427,x428,x429,x4210,x4211,x4212)) % 199.49/199.86 [43]~E(x431,x432)+E(f386(x433,x434,x435,x436,x437,x431,x438,x439,x4310,x4311,x4312),f386(x433,x434,x435,x436,x437,x432,x438,x439,x4310,x4311,x4312)) % 199.49/199.86 [44]~E(x441,x442)+E(f386(x443,x444,x445,x446,x447,x448,x441,x449,x4410,x4411,x4412),f386(x443,x444,x445,x446,x447,x448,x442,x449,x4410,x4411,x4412)) % 199.49/199.86 [45]~E(x451,x452)+E(f386(x453,x454,x455,x456,x457,x458,x459,x451,x4510,x4511,x4512),f386(x453,x454,x455,x456,x457,x458,x459,x452,x4510,x4511,x4512)) % 199.49/199.86 [46]~E(x461,x462)+E(f386(x463,x464,x465,x466,x467,x468,x469,x4610,x461,x4611,x4612),f386(x463,x464,x465,x466,x467,x468,x469,x4610,x462,x4611,x4612)) % 199.49/199.86 [47]~E(x471,x472)+E(f386(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x471,x4712),f386(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x472,x4712)) % 199.49/199.86 [48]~E(x481,x482)+E(f386(x483,x484,x485,x486,x487,x488,x489,x4810,x4811,x4812,x481),f386(x483,x484,x485,x486,x487,x488,x489,x4810,x4811,x4812,x482)) % 199.49/199.86 [49]~E(x491,x492)+E(f114(x491),f114(x492)) % 199.49/199.86 [50]~E(x501,x502)+E(f332(x501),f332(x502)) % 199.49/199.86 [51]~E(x511,x512)+E(f312(x511),f312(x512)) % 199.49/199.86 [52]~E(x521,x522)+E(f4(x521),f4(x522)) % 199.49/199.86 [53]~E(x531,x532)+E(f239(x531),f239(x532)) % 199.49/199.86 [54]~E(x541,x542)+E(f927(x541),f927(x542)) % 199.49/199.86 [55]~E(x551,x552)+E(f932(x551),f932(x552)) % 199.49/199.86 [56]~E(x561,x562)+E(f929(x561),f929(x562)) % 199.49/199.86 [57]~E(x571,x572)+E(f930(x571),f930(x572)) % 199.49/199.86 [58]~E(x581,x582)+E(f81(x581),f81(x582)) % 199.49/199.86 [59]~E(x591,x592)+E(f14(x591,x593),f14(x592,x593)) % 199.49/199.86 [60]~E(x601,x602)+E(f14(x603,x601),f14(x603,x602)) % 199.49/199.86 [61]~E(x611,x612)+E(f192(x611),f192(x612)) % 199.49/199.86 [62]~E(x621,x622)+E(f313(x621,x623,x624),f313(x622,x623,x624)) % 199.49/199.86 [63]~E(x631,x632)+E(f313(x633,x631,x634),f313(x633,x632,x634)) % 199.49/199.86 [64]~E(x641,x642)+E(f313(x643,x644,x641),f313(x643,x644,x642)) % 199.49/199.86 [65]~E(x651,x652)+E(f106(x651),f106(x652)) % 199.49/199.86 [66]~E(x661,x662)+E(f238(x661),f238(x662)) % 199.49/199.86 [67]~E(x671,x672)+E(f290(x671),f290(x672)) % 199.49/199.86 [68]~E(x681,x682)+E(f306(x681,x683,x684),f306(x682,x683,x684)) % 199.49/199.86 [69]~E(x691,x692)+E(f306(x693,x691,x694),f306(x693,x692,x694)) % 199.49/199.86 [70]~E(x701,x702)+E(f306(x703,x704,x701),f306(x703,x704,x702)) % 199.49/199.86 [71]~E(x711,x712)+E(f553(x711,x713,x714,x715),f553(x712,x713,x714,x715)) % 199.49/199.86 [72]~E(x721,x722)+E(f553(x723,x721,x724,x725),f553(x723,x722,x724,x725)) % 199.49/199.86 [73]~E(x731,x732)+E(f553(x733,x734,x731,x735),f553(x733,x734,x732,x735)) % 199.49/199.86 [74]~E(x741,x742)+E(f553(x743,x744,x745,x741),f553(x743,x744,x745,x742)) % 199.49/199.86 [75]~E(x751,x752)+E(f175(x751),f175(x752)) % 199.49/199.86 [76]~E(x761,x762)+E(f140(x761),f140(x762)) % 199.49/199.86 [77]~E(x771,x772)+E(f18(x771,x773,x774),f18(x772,x773,x774)) % 199.49/199.86 [78]~E(x781,x782)+E(f18(x783,x781,x784),f18(x783,x782,x784)) % 199.49/199.86 [79]~E(x791,x792)+E(f18(x793,x794,x791),f18(x793,x794,x792)) % 199.49/199.86 [80]~E(x801,x802)+E(f934(x801,x803),f934(x802,x803)) % 199.49/199.86 [81]~E(x811,x812)+E(f934(x813,x811),f934(x813,x812)) % 199.49/199.86 [82]~E(x821,x822)+E(f7(x821,x823,x824),f7(x822,x823,x824)) % 199.49/199.86 [83]~E(x831,x832)+E(f7(x833,x831,x834),f7(x833,x832,x834)) % 199.49/199.86 [84]~E(x841,x842)+E(f7(x843,x844,x841),f7(x843,x844,x842)) % 199.49/199.86 [85]~E(x851,x852)+E(f36(x851),f36(x852)) % 199.49/199.86 [86]~E(x861,x862)+E(f62(x861),f62(x862)) % 199.49/199.86 [87]~E(x871,x872)+E(f160(x871,x873),f160(x872,x873)) % 199.49/199.86 [88]~E(x881,x882)+E(f160(x883,x881),f160(x883,x882)) % 199.49/199.86 [89]~E(x891,x892)+E(f61(x891),f61(x892)) % 199.49/199.86 [90]~E(x901,x902)+E(f82(x901),f82(x902)) % 199.49/199.86 [91]~E(x911,x912)+E(f311(x911),f311(x912)) % 199.49/199.86 [92]~E(x921,x922)+E(f137(x921),f137(x922)) % 199.49/199.86 [93]~E(x931,x932)+E(f16(x931,x933),f16(x932,x933)) % 199.49/199.86 [94]~E(x941,x942)+E(f16(x943,x941),f16(x943,x942)) % 199.49/199.86 [95]~E(x951,x952)+E(f310(x951,x953),f310(x952,x953)) % 199.49/199.86 [96]~E(x961,x962)+E(f310(x963,x961),f310(x963,x962)) % 199.49/199.86 [97]~E(x971,x972)+E(f294(x971),f294(x972)) % 199.49/199.86 [98]~E(x981,x982)+E(f644(x981,x983,x984,x985),f644(x982,x983,x984,x985)) % 199.49/199.86 [99]~E(x991,x992)+E(f644(x993,x991,x994,x995),f644(x993,x992,x994,x995)) % 199.49/199.86 [100]~E(x1001,x1002)+E(f644(x1003,x1004,x1001,x1005),f644(x1003,x1004,x1002,x1005)) % 199.49/199.86 [101]~E(x1011,x1012)+E(f644(x1013,x1014,x1015,x1011),f644(x1013,x1014,x1015,x1012)) % 199.49/199.86 [102]~E(x1021,x1022)+E(f257(x1021,x1023),f257(x1022,x1023)) % 199.49/199.86 [103]~E(x1031,x1032)+E(f257(x1033,x1031),f257(x1033,x1032)) % 199.49/199.86 [104]~E(x1041,x1042)+E(f58(x1041),f58(x1042)) % 199.49/199.86 [105]~E(x1051,x1052)+E(f245(x1051),f245(x1052)) % 199.49/199.86 [106]~E(x1061,x1062)+E(f255(x1061,x1063),f255(x1062,x1063)) % 199.49/199.86 [107]~E(x1071,x1072)+E(f255(x1073,x1071),f255(x1073,x1072)) % 199.49/199.86 [108]~E(x1081,x1082)+E(f74(x1081,x1083,x1084,x1085),f74(x1082,x1083,x1084,x1085)) % 199.49/199.86 [109]~E(x1091,x1092)+E(f74(x1093,x1091,x1094,x1095),f74(x1093,x1092,x1094,x1095)) % 199.49/199.86 [110]~E(x1101,x1102)+E(f74(x1103,x1104,x1101,x1105),f74(x1103,x1104,x1102,x1105)) % 199.49/199.86 [111]~E(x1111,x1112)+E(f74(x1113,x1114,x1115,x1111),f74(x1113,x1114,x1115,x1112)) % 199.49/199.86 [112]~E(x1121,x1122)+E(f15(x1121,x1123),f15(x1122,x1123)) % 199.49/199.86 [113]~E(x1131,x1132)+E(f15(x1133,x1131),f15(x1133,x1132)) % 199.49/199.86 [114]~E(x1141,x1142)+E(f247(x1141),f247(x1142)) % 199.49/199.86 [115]~E(x1151,x1152)+E(f292(x1151,x1153,x1154),f292(x1152,x1153,x1154)) % 199.49/199.86 [116]~E(x1161,x1162)+E(f292(x1163,x1161,x1164),f292(x1163,x1162,x1164)) % 199.49/199.86 [117]~E(x1171,x1172)+E(f292(x1173,x1174,x1171),f292(x1173,x1174,x1172)) % 199.49/199.86 [118]~E(x1181,x1182)+E(f861(x1181,x1183,x1184,x1185,x1186,x1187,x1188,x1189),f861(x1182,x1183,x1184,x1185,x1186,x1187,x1188,x1189)) % 199.49/199.86 [119]~E(x1191,x1192)+E(f861(x1193,x1191,x1194,x1195,x1196,x1197,x1198,x1199),f861(x1193,x1192,x1194,x1195,x1196,x1197,x1198,x1199)) % 199.49/199.86 [120]~E(x1201,x1202)+E(f861(x1203,x1204,x1201,x1205,x1206,x1207,x1208,x1209),f861(x1203,x1204,x1202,x1205,x1206,x1207,x1208,x1209)) % 199.49/199.86 [121]~E(x1211,x1212)+E(f861(x1213,x1214,x1215,x1211,x1216,x1217,x1218,x1219),f861(x1213,x1214,x1215,x1212,x1216,x1217,x1218,x1219)) % 199.49/199.86 [122]~E(x1221,x1222)+E(f861(x1223,x1224,x1225,x1226,x1221,x1227,x1228,x1229),f861(x1223,x1224,x1225,x1226,x1222,x1227,x1228,x1229)) % 199.49/199.86 [123]~E(x1231,x1232)+E(f861(x1233,x1234,x1235,x1236,x1237,x1231,x1238,x1239),f861(x1233,x1234,x1235,x1236,x1237,x1232,x1238,x1239)) % 199.49/199.86 [124]~E(x1241,x1242)+E(f861(x1243,x1244,x1245,x1246,x1247,x1248,x1241,x1249),f861(x1243,x1244,x1245,x1246,x1247,x1248,x1242,x1249)) % 199.49/199.86 [125]~E(x1251,x1252)+E(f861(x1253,x1254,x1255,x1256,x1257,x1258,x1259,x1251),f861(x1253,x1254,x1255,x1256,x1257,x1258,x1259,x1252)) % 199.49/199.86 [126]~E(x1261,x1262)+E(f305(x1261,x1263),f305(x1262,x1263)) % 199.49/199.86 [127]~E(x1271,x1272)+E(f305(x1273,x1271),f305(x1273,x1272)) % 199.49/199.86 [128]~E(x1281,x1282)+E(f10(x1281,x1283),f10(x1282,x1283)) % 199.49/199.86 [129]~E(x1291,x1292)+E(f10(x1293,x1291),f10(x1293,x1292)) % 199.49/199.86 [130]~E(x1301,x1302)+E(f5(x1301),f5(x1302)) % 199.49/199.86 [131]~E(x1311,x1312)+E(f116(x1311),f116(x1312)) % 199.49/199.86 [132]~E(x1321,x1322)+E(f41(x1321,x1323),f41(x1322,x1323)) % 199.49/199.86 [133]~E(x1331,x1332)+E(f41(x1333,x1331),f41(x1333,x1332)) % 199.49/199.86 [134]~E(x1341,x1342)+E(f6(x1341,x1343),f6(x1342,x1343)) % 199.49/199.86 [135]~E(x1351,x1352)+E(f6(x1353,x1351),f6(x1353,x1352)) % 199.49/199.86 [136]~E(x1361,x1362)+E(f154(x1361),f154(x1362)) % 199.49/199.86 [137]~E(x1371,x1372)+E(f265(x1371),f265(x1372)) % 199.49/199.86 [138]~E(x1381,x1382)+E(f38(x1381,x1383),f38(x1382,x1383)) % 199.49/199.86 [139]~E(x1391,x1392)+E(f38(x1393,x1391),f38(x1393,x1392)) % 199.49/199.86 [140]~E(x1401,x1402)+E(f167(x1401),f167(x1402)) % 199.49/199.86 [141]~E(x1411,x1412)+E(f144(x1411),f144(x1412)) % 199.49/199.86 [142]~E(x1421,x1422)+E(f108(x1421),f108(x1422)) % 199.49/199.86 [143]~E(x1431,x1432)+E(f110(x1431),f110(x1432)) % 199.49/199.86 [144]~E(x1441,x1442)+E(f331(x1441),f331(x1442)) % 199.49/199.86 [145]~E(x1451,x1452)+E(f150(x1451,x1453),f150(x1452,x1453)) % 199.49/199.86 [146]~E(x1461,x1462)+E(f150(x1463,x1461),f150(x1463,x1462)) % 199.49/199.86 [147]~E(x1471,x1472)+E(f576(x1471),f576(x1472)) % 199.49/199.86 [148]~E(x1481,x1482)+E(f720(x1481,x1483),f720(x1482,x1483)) % 199.49/199.86 [149]~E(x1491,x1492)+E(f720(x1493,x1491),f720(x1493,x1492)) % 199.49/199.86 [150]~E(x1501,x1502)+E(f157(x1501,x1503),f157(x1502,x1503)) % 199.49/199.86 [151]~E(x1511,x1512)+E(f157(x1513,x1511),f157(x1513,x1512)) % 199.49/199.86 [152]~E(x1521,x1522)+E(f244(x1521,x1523),f244(x1522,x1523)) % 199.49/199.86 [153]~E(x1531,x1532)+E(f244(x1533,x1531),f244(x1533,x1532)) % 199.49/199.86 [154]~E(x1541,x1542)+E(f28(x1541,x1543,x1544),f28(x1542,x1543,x1544)) % 199.49/199.86 [155]~E(x1551,x1552)+E(f28(x1553,x1551,x1554),f28(x1553,x1552,x1554)) % 199.49/199.86 [156]~E(x1561,x1562)+E(f28(x1563,x1564,x1561),f28(x1563,x1564,x1562)) % 199.49/199.86 [157]~E(x1571,x1572)+E(f88(x1571,x1573),f88(x1572,x1573)) % 199.49/199.86 [158]~E(x1581,x1582)+E(f88(x1583,x1581),f88(x1583,x1582)) % 199.49/199.86 [159]~E(x1591,x1592)+E(f9(x1591,x1593),f9(x1592,x1593)) % 199.49/199.86 [160]~E(x1601,x1602)+E(f9(x1603,x1601),f9(x1603,x1602)) % 199.49/199.86 [161]~E(x1611,x1612)+E(f89(x1611),f89(x1612)) % 199.49/199.86 [162]~E(x1621,x1622)+E(f867(x1621,x1623,x1624),f867(x1622,x1623,x1624)) % 199.49/199.86 [163]~E(x1631,x1632)+E(f867(x1633,x1631,x1634),f867(x1633,x1632,x1634)) % 199.49/199.86 [164]~E(x1641,x1642)+E(f867(x1643,x1644,x1641),f867(x1643,x1644,x1642)) % 199.49/199.86 [165]~E(x1651,x1652)+E(f465(x1651,x1653),f465(x1652,x1653)) % 199.49/199.86 [166]~E(x1661,x1662)+E(f465(x1663,x1661),f465(x1663,x1662)) % 199.49/199.86 [167]~E(x1671,x1672)+E(f583(x1671,x1673,x1674,x1675),f583(x1672,x1673,x1674,x1675)) % 199.49/199.86 [168]~E(x1681,x1682)+E(f583(x1683,x1681,x1684,x1685),f583(x1683,x1682,x1684,x1685)) % 199.49/199.86 [169]~E(x1691,x1692)+E(f583(x1693,x1694,x1691,x1695),f583(x1693,x1694,x1692,x1695)) % 199.49/199.86 [170]~E(x1701,x1702)+E(f583(x1703,x1704,x1705,x1701),f583(x1703,x1704,x1705,x1702)) % 199.49/199.86 [171]~E(x1711,x1712)+E(f643(x1711,x1713,x1714,x1715),f643(x1712,x1713,x1714,x1715)) % 199.49/199.86 [172]~E(x1721,x1722)+E(f643(x1723,x1721,x1724,x1725),f643(x1723,x1722,x1724,x1725)) % 199.49/199.86 [173]~E(x1731,x1732)+E(f643(x1733,x1734,x1731,x1735),f643(x1733,x1734,x1732,x1735)) % 199.49/199.86 [174]~E(x1741,x1742)+E(f643(x1743,x1744,x1745,x1741),f643(x1743,x1744,x1745,x1742)) % 199.49/199.86 [175]~E(x1751,x1752)+E(f27(x1751,x1753,x1754),f27(x1752,x1753,x1754)) % 199.49/199.86 [176]~E(x1761,x1762)+E(f27(x1763,x1761,x1764),f27(x1763,x1762,x1764)) % 199.49/199.86 [177]~E(x1771,x1772)+E(f27(x1773,x1774,x1771),f27(x1773,x1774,x1772)) % 199.49/199.86 [178]~E(x1781,x1782)+E(f595(x1781,x1783,x1784),f595(x1782,x1783,x1784)) % 199.49/199.86 [179]~E(x1791,x1792)+E(f595(x1793,x1791,x1794),f595(x1793,x1792,x1794)) % 199.49/199.86 [180]~E(x1801,x1802)+E(f595(x1803,x1804,x1801),f595(x1803,x1804,x1802)) % 199.49/199.86 [181]~E(x1811,x1812)+E(f288(x1811,x1813,x1814),f288(x1812,x1813,x1814)) % 199.49/199.86 [182]~E(x1821,x1822)+E(f288(x1823,x1821,x1824),f288(x1823,x1822,x1824)) % 199.49/199.86 [183]~E(x1831,x1832)+E(f288(x1833,x1834,x1831),f288(x1833,x1834,x1832)) % 199.49/199.86 [184]~E(x1841,x1842)+E(f117(x1841,x1843),f117(x1842,x1843)) % 199.49/199.86 [185]~E(x1851,x1852)+E(f117(x1853,x1851),f117(x1853,x1852)) % 199.49/199.86 [186]~E(x1861,x1862)+E(f216(x1861),f216(x1862)) % 199.49/199.86 [187]~E(x1871,x1872)+E(f46(x1871,x1873,x1874),f46(x1872,x1873,x1874)) % 199.49/199.86 [188]~E(x1881,x1882)+E(f46(x1883,x1881,x1884),f46(x1883,x1882,x1884)) % 199.49/199.86 [189]~E(x1891,x1892)+E(f46(x1893,x1894,x1891),f46(x1893,x1894,x1892)) % 199.49/199.86 [190]~E(x1901,x1902)+E(f862(x1901,x1903,x1904,x1905,x1906,x1907),f862(x1902,x1903,x1904,x1905,x1906,x1907)) % 199.49/199.86 [191]~E(x1911,x1912)+E(f862(x1913,x1911,x1914,x1915,x1916,x1917),f862(x1913,x1912,x1914,x1915,x1916,x1917)) % 199.49/199.86 [192]~E(x1921,x1922)+E(f862(x1923,x1924,x1921,x1925,x1926,x1927),f862(x1923,x1924,x1922,x1925,x1926,x1927)) % 199.49/199.86 [193]~E(x1931,x1932)+E(f862(x1933,x1934,x1935,x1931,x1936,x1937),f862(x1933,x1934,x1935,x1932,x1936,x1937)) % 199.49/199.86 [194]~E(x1941,x1942)+E(f862(x1943,x1944,x1945,x1946,x1941,x1947),f862(x1943,x1944,x1945,x1946,x1942,x1947)) % 199.49/199.86 [195]~E(x1951,x1952)+E(f862(x1953,x1954,x1955,x1956,x1957,x1951),f862(x1953,x1954,x1955,x1956,x1957,x1952)) % 199.49/199.86 [196]~E(x1961,x1962)+E(f57(x1961),f57(x1962)) % 199.49/199.86 [197]~E(x1971,x1972)+E(f171(x1971),f171(x1972)) % 199.49/199.86 [198]~E(x1981,x1982)+E(f863(x1981,x1983,x1984,x1985,x1986,x1987),f863(x1982,x1983,x1984,x1985,x1986,x1987)) % 199.49/199.86 [199]~E(x1991,x1992)+E(f863(x1993,x1991,x1994,x1995,x1996,x1997),f863(x1993,x1992,x1994,x1995,x1996,x1997)) % 199.49/199.86 [200]~E(x2001,x2002)+E(f863(x2003,x2004,x2001,x2005,x2006,x2007),f863(x2003,x2004,x2002,x2005,x2006,x2007)) % 199.49/199.86 [201]~E(x2011,x2012)+E(f863(x2013,x2014,x2015,x2011,x2016,x2017),f863(x2013,x2014,x2015,x2012,x2016,x2017)) % 199.49/199.86 [202]~E(x2021,x2022)+E(f863(x2023,x2024,x2025,x2026,x2021,x2027),f863(x2023,x2024,x2025,x2026,x2022,x2027)) % 199.49/199.86 [203]~E(x2031,x2032)+E(f863(x2033,x2034,x2035,x2036,x2037,x2031),f863(x2033,x2034,x2035,x2036,x2037,x2032)) % 199.49/199.86 [204]~E(x2041,x2042)+E(f686(x2041,x2043,x2044),f686(x2042,x2043,x2044)) % 199.49/199.86 [205]~E(x2051,x2052)+E(f686(x2053,x2051,x2054),f686(x2053,x2052,x2054)) % 199.49/199.86 [206]~E(x2061,x2062)+E(f686(x2063,x2064,x2061),f686(x2063,x2064,x2062)) % 199.49/199.86 [207]~E(x2071,x2072)+E(f51(x2071,x2073),f51(x2072,x2073)) % 199.49/199.86 [208]~E(x2081,x2082)+E(f51(x2083,x2081),f51(x2083,x2082)) % 199.49/199.86 [209]~E(x2091,x2092)+E(f12(x2091,x2093,x2094),f12(x2092,x2093,x2094)) % 199.49/199.86 [210]~E(x2101,x2102)+E(f12(x2103,x2101,x2104),f12(x2103,x2102,x2104)) % 199.49/199.86 [211]~E(x2111,x2112)+E(f12(x2113,x2114,x2111),f12(x2113,x2114,x2112)) % 199.49/199.86 [212]~E(x2121,x2122)+E(f184(x2121,x2123),f184(x2122,x2123)) % 199.49/199.86 [213]~E(x2131,x2132)+E(f184(x2133,x2131),f184(x2133,x2132)) % 199.49/199.86 [214]~E(x2141,x2142)+E(f864(x2141,x2143,x2144,x2145,x2146,x2147),f864(x2142,x2143,x2144,x2145,x2146,x2147)) % 199.49/199.86 [215]~E(x2151,x2152)+E(f864(x2153,x2151,x2154,x2155,x2156,x2157),f864(x2153,x2152,x2154,x2155,x2156,x2157)) % 199.49/199.86 [216]~E(x2161,x2162)+E(f864(x2163,x2164,x2161,x2165,x2166,x2167),f864(x2163,x2164,x2162,x2165,x2166,x2167)) % 199.49/199.86 [217]~E(x2171,x2172)+E(f864(x2173,x2174,x2175,x2171,x2176,x2177),f864(x2173,x2174,x2175,x2172,x2176,x2177)) % 199.49/199.86 [218]~E(x2181,x2182)+E(f864(x2183,x2184,x2185,x2186,x2181,x2187),f864(x2183,x2184,x2185,x2186,x2182,x2187)) % 199.49/199.86 [219]~E(x2191,x2192)+E(f864(x2193,x2194,x2195,x2196,x2197,x2191),f864(x2193,x2194,x2195,x2196,x2197,x2192)) % 199.49/199.86 [220]~E(x2201,x2202)+E(f865(x2201,x2203,x2204,x2205,x2206,x2207),f865(x2202,x2203,x2204,x2205,x2206,x2207)) % 199.49/199.86 [221]~E(x2211,x2212)+E(f865(x2213,x2211,x2214,x2215,x2216,x2217),f865(x2213,x2212,x2214,x2215,x2216,x2217)) % 199.49/199.86 [222]~E(x2221,x2222)+E(f865(x2223,x2224,x2221,x2225,x2226,x2227),f865(x2223,x2224,x2222,x2225,x2226,x2227)) % 199.49/199.86 [223]~E(x2231,x2232)+E(f865(x2233,x2234,x2235,x2231,x2236,x2237),f865(x2233,x2234,x2235,x2232,x2236,x2237)) % 199.49/199.86 [224]~E(x2241,x2242)+E(f865(x2243,x2244,x2245,x2246,x2241,x2247),f865(x2243,x2244,x2245,x2246,x2242,x2247)) % 199.49/199.86 [225]~E(x2251,x2252)+E(f865(x2253,x2254,x2255,x2256,x2257,x2251),f865(x2253,x2254,x2255,x2256,x2257,x2252)) % 199.49/199.86 [226]~E(x2261,x2262)+E(f260(x2261,x2263,x2264),f260(x2262,x2263,x2264)) % 199.49/199.86 [227]~E(x2271,x2272)+E(f260(x2273,x2271,x2274),f260(x2273,x2272,x2274)) % 199.49/199.86 [228]~E(x2281,x2282)+E(f260(x2283,x2284,x2281),f260(x2283,x2284,x2282)) % 199.49/199.86 [229]~E(x2291,x2292)+E(f40(x2291,x2293),f40(x2292,x2293)) % 199.49/199.86 [230]~E(x2301,x2302)+E(f40(x2303,x2301),f40(x2303,x2302)) % 199.49/199.86 [231]~E(x2311,x2312)+E(f289(x2311,x2313),f289(x2312,x2313)) % 199.49/199.86 [232]~E(x2321,x2322)+E(f289(x2323,x2321),f289(x2323,x2322)) % 199.49/199.86 [233]~E(x2331,x2332)+E(f13(x2331,x2333),f13(x2332,x2333)) % 199.49/199.86 [234]~E(x2341,x2342)+E(f13(x2343,x2341),f13(x2343,x2342)) % 199.49/199.86 [235]~E(x2351,x2352)+E(f879(x2351,x2353,x2354,x2355,x2356,x2357),f879(x2352,x2353,x2354,x2355,x2356,x2357)) % 199.49/199.86 [236]~E(x2361,x2362)+E(f879(x2363,x2361,x2364,x2365,x2366,x2367),f879(x2363,x2362,x2364,x2365,x2366,x2367)) % 199.49/199.86 [237]~E(x2371,x2372)+E(f879(x2373,x2374,x2371,x2375,x2376,x2377),f879(x2373,x2374,x2372,x2375,x2376,x2377)) % 199.49/199.86 [238]~E(x2381,x2382)+E(f879(x2383,x2384,x2385,x2381,x2386,x2387),f879(x2383,x2384,x2385,x2382,x2386,x2387)) % 199.49/199.86 [239]~E(x2391,x2392)+E(f879(x2393,x2394,x2395,x2396,x2391,x2397),f879(x2393,x2394,x2395,x2396,x2392,x2397)) % 199.49/199.86 [240]~E(x2401,x2402)+E(f879(x2403,x2404,x2405,x2406,x2407,x2401),f879(x2403,x2404,x2405,x2406,x2407,x2402)) % 199.49/199.86 [241]~E(x2411,x2412)+E(f876(x2411,x2413,x2414),f876(x2412,x2413,x2414)) % 199.49/199.86 [242]~E(x2421,x2422)+E(f876(x2423,x2421,x2424),f876(x2423,x2422,x2424)) % 199.49/199.86 [243]~E(x2431,x2432)+E(f876(x2433,x2434,x2431),f876(x2433,x2434,x2432)) % 199.49/199.86 [244]~E(x2441,x2442)+E(f37(x2441),f37(x2442)) % 199.49/199.86 [245]~E(x2451,x2452)+E(f875(x2451,x2453,x2454),f875(x2452,x2453,x2454)) % 199.49/199.86 [246]~E(x2461,x2462)+E(f875(x2463,x2461,x2464),f875(x2463,x2462,x2464)) % 199.49/199.86 [247]~E(x2471,x2472)+E(f875(x2473,x2474,x2471),f875(x2473,x2474,x2472)) % 199.49/199.86 [248]~E(x2481,x2482)+E(f142(x2481,x2483),f142(x2482,x2483)) % 199.49/199.86 [249]~E(x2491,x2492)+E(f142(x2493,x2491),f142(x2493,x2492)) % 199.49/199.86 [250]~E(x2501,x2502)+E(f169(x2501,x2503,x2504),f169(x2502,x2503,x2504)) % 199.49/199.86 [251]~E(x2511,x2512)+E(f169(x2513,x2511,x2514),f169(x2513,x2512,x2514)) % 199.49/199.86 [252]~E(x2521,x2522)+E(f169(x2523,x2524,x2521),f169(x2523,x2524,x2522)) % 199.49/199.86 [253]~E(x2531,x2532)+E(f559(x2531,x2533,x2534,x2535,x2536),f559(x2532,x2533,x2534,x2535,x2536)) % 199.49/199.86 [254]~E(x2541,x2542)+E(f559(x2543,x2541,x2544,x2545,x2546),f559(x2543,x2542,x2544,x2545,x2546)) % 199.49/199.86 [255]~E(x2551,x2552)+E(f559(x2553,x2554,x2551,x2555,x2556),f559(x2553,x2554,x2552,x2555,x2556)) % 199.49/199.86 [256]~E(x2561,x2562)+E(f559(x2563,x2564,x2565,x2561,x2566),f559(x2563,x2564,x2565,x2562,x2566)) % 199.49/199.86 [257]~E(x2571,x2572)+E(f559(x2573,x2574,x2575,x2576,x2571),f559(x2573,x2574,x2575,x2576,x2572)) % 199.49/199.86 [258]~E(x2581,x2582)+E(f145(x2581,x2583,x2584,x2585),f145(x2582,x2583,x2584,x2585)) % 199.49/199.86 [259]~E(x2591,x2592)+E(f145(x2593,x2591,x2594,x2595),f145(x2593,x2592,x2594,x2595)) % 199.49/199.86 [260]~E(x2601,x2602)+E(f145(x2603,x2604,x2601,x2605),f145(x2603,x2604,x2602,x2605)) % 199.49/199.86 [261]~E(x2611,x2612)+E(f145(x2613,x2614,x2615,x2611),f145(x2613,x2614,x2615,x2612)) % 199.49/199.86 [262]~E(x2621,x2622)+E(f172(x2621,x2623,x2624),f172(x2622,x2623,x2624)) % 199.49/199.86 [263]~E(x2631,x2632)+E(f172(x2633,x2631,x2634),f172(x2633,x2632,x2634)) % 199.49/199.86 [264]~E(x2641,x2642)+E(f172(x2643,x2644,x2641),f172(x2643,x2644,x2642)) % 199.49/199.86 [265]~E(x2651,x2652)+E(f139(x2651,x2653),f139(x2652,x2653)) % 199.49/199.86 [266]~E(x2661,x2662)+E(f139(x2663,x2661),f139(x2663,x2662)) % 199.49/199.86 [267]~E(x2671,x2672)+E(f319(x2671,x2673),f319(x2672,x2673)) % 199.49/199.86 [268]~E(x2681,x2682)+E(f319(x2683,x2681),f319(x2683,x2682)) % 199.49/199.86 [269]~E(x2691,x2692)+E(f291(x2691,x2693),f291(x2692,x2693)) % 199.49/199.86 [270]~E(x2701,x2702)+E(f291(x2703,x2701),f291(x2703,x2702)) % 199.49/199.86 [271]~E(x2711,x2712)+E(f318(x2711,x2713),f318(x2712,x2713)) % 199.49/199.86 [272]~E(x2721,x2722)+E(f318(x2723,x2721),f318(x2723,x2722)) % 199.49/199.86 [273]~E(x2731,x2732)+E(f186(x2731,x2733),f186(x2732,x2733)) % 199.49/199.86 [274]~E(x2741,x2742)+E(f186(x2743,x2741),f186(x2743,x2742)) % 199.49/199.86 [275]~E(x2751,x2752)+E(f254(x2751,x2753),f254(x2752,x2753)) % 199.49/199.86 [276]~E(x2761,x2762)+E(f254(x2763,x2761),f254(x2763,x2762)) % 199.49/199.86 [277]~E(x2771,x2772)+E(f173(x2771,x2773,x2774),f173(x2772,x2773,x2774)) % 199.49/199.86 [278]~E(x2781,x2782)+E(f173(x2783,x2781,x2784),f173(x2783,x2782,x2784)) % 199.49/199.86 [279]~E(x2791,x2792)+E(f173(x2793,x2794,x2791),f173(x2793,x2794,x2792)) % 199.49/199.86 [280]~E(x2801,x2802)+E(f155(x2801,x2803),f155(x2802,x2803)) % 199.49/199.86 [281]~E(x2811,x2812)+E(f155(x2813,x2811),f155(x2813,x2812)) % 199.49/199.86 [282]~E(x2821,x2822)+E(f640(x2821,x2823,x2824,x2825,x2826),f640(x2822,x2823,x2824,x2825,x2826)) % 199.49/199.86 [283]~E(x2831,x2832)+E(f640(x2833,x2831,x2834,x2835,x2836),f640(x2833,x2832,x2834,x2835,x2836)) % 199.49/199.86 [284]~E(x2841,x2842)+E(f640(x2843,x2844,x2841,x2845,x2846),f640(x2843,x2844,x2842,x2845,x2846)) % 199.49/199.86 [285]~E(x2851,x2852)+E(f640(x2853,x2854,x2855,x2851,x2856),f640(x2853,x2854,x2855,x2852,x2856)) % 199.49/199.86 [286]~E(x2861,x2862)+E(f640(x2863,x2864,x2865,x2866,x2861),f640(x2863,x2864,x2865,x2866,x2862)) % 199.49/199.86 [287]~E(x2871,x2872)+E(f194(x2871),f194(x2872)) % 199.49/199.86 [288]~E(x2881,x2882)+E(f742(x2881,x2883),f742(x2882,x2883)) % 199.49/199.86 [289]~E(x2891,x2892)+E(f742(x2893,x2891),f742(x2893,x2892)) % 199.49/199.86 [290]~E(x2901,x2902)+E(f118(x2901),f118(x2902)) % 199.49/199.86 [291]~E(x2911,x2912)+E(f95(x2911,x2913,x2914),f95(x2912,x2913,x2914)) % 199.49/199.86 [292]~E(x2921,x2922)+E(f95(x2923,x2921,x2924),f95(x2923,x2922,x2924)) % 199.49/199.86 [293]~E(x2931,x2932)+E(f95(x2933,x2934,x2931),f95(x2933,x2934,x2932)) % 199.49/199.86 [294]~E(x2941,x2942)+E(f936(x2941,x2943),f936(x2942,x2943)) % 199.49/199.86 [295]~E(x2951,x2952)+E(f936(x2953,x2951),f936(x2953,x2952)) % 199.49/199.86 [296]~E(x2961,x2962)+E(f933(x2961,x2963),f933(x2962,x2963)) % 199.49/199.86 [297]~E(x2971,x2972)+E(f933(x2973,x2971),f933(x2973,x2972)) % 199.49/199.86 [298]~E(x2981,x2982)+E(f170(x2981),f170(x2982)) % 199.49/199.86 [299]~E(x2991,x2992)+E(f536(x2991,x2993,x2994),f536(x2992,x2993,x2994)) % 199.49/199.86 [300]~E(x3001,x3002)+E(f536(x3003,x3001,x3004),f536(x3003,x3002,x3004)) % 199.49/199.86 [301]~E(x3011,x3012)+E(f536(x3013,x3014,x3011),f536(x3013,x3014,x3012)) % 199.49/199.86 [302]~E(x3021,x3022)+E(f314(x3021,x3023,x3024),f314(x3022,x3023,x3024)) % 199.49/199.86 [303]~E(x3031,x3032)+E(f314(x3033,x3031,x3034),f314(x3033,x3032,x3034)) % 199.49/199.86 [304]~E(x3041,x3042)+E(f314(x3043,x3044,x3041),f314(x3043,x3044,x3042)) % 199.49/199.86 [305]~E(x3051,x3052)+E(f548(x3051,x3053),f548(x3052,x3053)) % 199.49/199.86 [306]~E(x3061,x3062)+E(f548(x3063,x3061),f548(x3063,x3062)) % 199.49/199.86 [307]~E(x3071,x3072)+E(f174(x3071),f174(x3072)) % 199.49/199.86 [308]~E(x3081,x3082)+E(f77(x3081),f77(x3082)) % 199.49/199.86 [309]~E(x3091,x3092)+E(f657(x3091,x3093,x3094,x3095,x3096,x3097),f657(x3092,x3093,x3094,x3095,x3096,x3097)) % 199.49/199.86 [310]~E(x3101,x3102)+E(f657(x3103,x3101,x3104,x3105,x3106,x3107),f657(x3103,x3102,x3104,x3105,x3106,x3107)) % 199.49/199.86 [311]~E(x3111,x3112)+E(f657(x3113,x3114,x3111,x3115,x3116,x3117),f657(x3113,x3114,x3112,x3115,x3116,x3117)) % 199.49/199.86 [312]~E(x3121,x3122)+E(f657(x3123,x3124,x3125,x3121,x3126,x3127),f657(x3123,x3124,x3125,x3122,x3126,x3127)) % 199.49/199.86 [313]~E(x3131,x3132)+E(f657(x3133,x3134,x3135,x3136,x3131,x3137),f657(x3133,x3134,x3135,x3136,x3132,x3137)) % 199.49/199.86 [314]~E(x3141,x3142)+E(f657(x3143,x3144,x3145,x3146,x3147,x3141),f657(x3143,x3144,x3145,x3146,x3147,x3142)) % 199.49/199.86 [315]~E(x3151,x3152)+E(f158(x3151,x3153,x3154),f158(x3152,x3153,x3154)) % 199.49/199.86 [316]~E(x3161,x3162)+E(f158(x3163,x3161,x3164),f158(x3163,x3162,x3164)) % 199.49/199.86 [317]~E(x3171,x3172)+E(f158(x3173,x3174,x3171),f158(x3173,x3174,x3172)) % 199.49/199.86 [318]~E(x3181,x3182)+E(f48(x3181,x3183),f48(x3182,x3183)) % 199.49/199.86 [319]~E(x3191,x3192)+E(f48(x3193,x3191),f48(x3193,x3192)) % 199.49/199.86 [320]~E(x3201,x3202)+E(f782(x3201,x3203,x3204,x3205),f782(x3202,x3203,x3204,x3205)) % 199.49/199.86 [321]~E(x3211,x3212)+E(f782(x3213,x3211,x3214,x3215),f782(x3213,x3212,x3214,x3215)) % 199.49/199.86 [322]~E(x3221,x3222)+E(f782(x3223,x3224,x3221,x3225),f782(x3223,x3224,x3222,x3225)) % 199.49/199.86 [323]~E(x3231,x3232)+E(f782(x3233,x3234,x3235,x3231),f782(x3233,x3234,x3235,x3232)) % 199.49/199.86 [324]~E(x3241,x3242)+E(f658(x3241,x3243,x3244,x3245,x3246,x3247),f658(x3242,x3243,x3244,x3245,x3246,x3247)) % 199.49/199.86 [325]~E(x3251,x3252)+E(f658(x3253,x3251,x3254,x3255,x3256,x3257),f658(x3253,x3252,x3254,x3255,x3256,x3257)) % 199.49/199.86 [326]~E(x3261,x3262)+E(f658(x3263,x3264,x3261,x3265,x3266,x3267),f658(x3263,x3264,x3262,x3265,x3266,x3267)) % 199.49/199.86 [327]~E(x3271,x3272)+E(f658(x3273,x3274,x3275,x3271,x3276,x3277),f658(x3273,x3274,x3275,x3272,x3276,x3277)) % 199.49/199.86 [328]~E(x3281,x3282)+E(f658(x3283,x3284,x3285,x3286,x3281,x3287),f658(x3283,x3284,x3285,x3286,x3282,x3287)) % 199.49/199.86 [329]~E(x3291,x3292)+E(f658(x3293,x3294,x3295,x3296,x3297,x3291),f658(x3293,x3294,x3295,x3296,x3297,x3292)) % 199.49/199.86 [330]~E(x3301,x3302)+E(f354(x3301,x3303,x3304),f354(x3302,x3303,x3304)) % 199.49/199.86 [331]~E(x3311,x3312)+E(f354(x3313,x3311,x3314),f354(x3313,x3312,x3314)) % 199.49/199.86 [332]~E(x3321,x3322)+E(f354(x3323,x3324,x3321),f354(x3323,x3324,x3322)) % 199.49/199.86 [333]~E(x3331,x3332)+E(f613(x3331,x3333,x3334,x3335),f613(x3332,x3333,x3334,x3335)) % 199.49/199.86 [334]~E(x3341,x3342)+E(f613(x3343,x3341,x3344,x3345),f613(x3343,x3342,x3344,x3345)) % 199.49/199.86 [335]~E(x3351,x3352)+E(f613(x3353,x3354,x3351,x3355),f613(x3353,x3354,x3352,x3355)) % 199.49/199.86 [336]~E(x3361,x3362)+E(f613(x3363,x3364,x3365,x3361),f613(x3363,x3364,x3365,x3362)) % 199.49/199.86 [337]~E(x3371,x3372)+E(f324(x3371,x3373,x3374),f324(x3372,x3373,x3374)) % 199.49/199.86 [338]~E(x3381,x3382)+E(f324(x3383,x3381,x3384),f324(x3383,x3382,x3384)) % 199.49/199.86 [339]~E(x3391,x3392)+E(f324(x3393,x3394,x3391),f324(x3393,x3394,x3392)) % 199.49/199.86 [340]~E(x3401,x3402)+E(f93(x3401),f93(x3402)) % 199.49/199.86 [341]~E(x3411,x3412)+E(f94(x3411,x3413,x3414,x3415),f94(x3412,x3413,x3414,x3415)) % 199.49/199.86 [342]~E(x3421,x3422)+E(f94(x3423,x3421,x3424,x3425),f94(x3423,x3422,x3424,x3425)) % 199.49/199.86 [343]~E(x3431,x3432)+E(f94(x3433,x3434,x3431,x3435),f94(x3433,x3434,x3432,x3435)) % 199.49/199.86 [344]~E(x3441,x3442)+E(f94(x3443,x3444,x3445,x3441),f94(x3443,x3444,x3445,x3442)) % 199.49/199.86 [345]~E(x3451,x3452)+E(f26(x3451,x3453),f26(x3452,x3453)) % 199.49/199.86 [346]~E(x3461,x3462)+E(f26(x3463,x3461),f26(x3463,x3462)) % 199.49/199.86 [347]~E(x3471,x3472)+E(f259(x3471,x3473),f259(x3472,x3473)) % 199.49/199.86 [348]~E(x3481,x3482)+E(f259(x3483,x3481),f259(x3483,x3482)) % 199.49/199.86 [349]~E(x3491,x3492)+E(f431(x3491,x3493,x3494,x3495,x3496),f431(x3492,x3493,x3494,x3495,x3496)) % 199.49/199.86 [350]~E(x3501,x3502)+E(f431(x3503,x3501,x3504,x3505,x3506),f431(x3503,x3502,x3504,x3505,x3506)) % 199.49/199.86 [351]~E(x3511,x3512)+E(f431(x3513,x3514,x3511,x3515,x3516),f431(x3513,x3514,x3512,x3515,x3516)) % 199.49/199.86 [352]~E(x3521,x3522)+E(f431(x3523,x3524,x3525,x3521,x3526),f431(x3523,x3524,x3525,x3522,x3526)) % 199.49/199.86 [353]~E(x3531,x3532)+E(f431(x3533,x3534,x3535,x3536,x3531),f431(x3533,x3534,x3535,x3536,x3532)) % 199.49/199.86 [354]~E(x3541,x3542)+E(f530(x3541,x3543,x3544),f530(x3542,x3543,x3544)) % 199.49/199.86 [355]~E(x3551,x3552)+E(f530(x3553,x3551,x3554),f530(x3553,x3552,x3554)) % 199.49/199.86 [356]~E(x3561,x3562)+E(f530(x3563,x3564,x3561),f530(x3563,x3564,x3562)) % 199.49/199.86 [357]~E(x3571,x3572)+E(f321(x3571,x3573),f321(x3572,x3573)) % 199.49/199.86 [358]~E(x3581,x3582)+E(f321(x3583,x3581),f321(x3583,x3582)) % 199.49/199.86 [359]~E(x3591,x3592)+E(f529(x3591,x3593),f529(x3592,x3593)) % 199.49/199.86 [360]~E(x3601,x3602)+E(f529(x3603,x3601),f529(x3603,x3602)) % 199.49/199.86 [361]~E(x3611,x3612)+E(f323(x3611,x3613),f323(x3612,x3613)) % 199.49/199.86 [362]~E(x3621,x3622)+E(f323(x3623,x3621),f323(x3623,x3622)) % 199.49/199.86 [363]~E(x3631,x3632)+E(f264(x3631,x3633,x3634,x3635,x3636),f264(x3632,x3633,x3634,x3635,x3636)) % 199.49/199.86 [364]~E(x3641,x3642)+E(f264(x3643,x3641,x3644,x3645,x3646),f264(x3643,x3642,x3644,x3645,x3646)) % 199.49/199.86 [365]~E(x3651,x3652)+E(f264(x3653,x3654,x3651,x3655,x3656),f264(x3653,x3654,x3652,x3655,x3656)) % 199.49/199.86 [366]~E(x3661,x3662)+E(f264(x3663,x3664,x3665,x3661,x3666),f264(x3663,x3664,x3665,x3662,x3666)) % 199.49/199.86 [367]~E(x3671,x3672)+E(f264(x3673,x3674,x3675,x3676,x3671),f264(x3673,x3674,x3675,x3676,x3672)) % 199.49/199.86 [368]~E(x3681,x3682)+E(f286(x3681),f286(x3682)) % 199.49/199.86 [369]~E(x3691,x3692)+E(f712(x3691,x3693,x3694),f712(x3692,x3693,x3694)) % 199.49/199.86 [370]~E(x3701,x3702)+E(f712(x3703,x3701,x3704),f712(x3703,x3702,x3704)) % 199.49/199.86 [371]~E(x3711,x3712)+E(f712(x3713,x3714,x3711),f712(x3713,x3714,x3712)) % 199.49/199.86 [372]~E(x3721,x3722)+E(f166(x3721,x3723,x3724,x3725),f166(x3722,x3723,x3724,x3725)) % 199.49/199.86 [373]~E(x3731,x3732)+E(f166(x3733,x3731,x3734,x3735),f166(x3733,x3732,x3734,x3735)) % 199.49/199.86 [374]~E(x3741,x3742)+E(f166(x3743,x3744,x3741,x3745),f166(x3743,x3744,x3742,x3745)) % 199.49/199.86 [375]~E(x3751,x3752)+E(f166(x3753,x3754,x3755,x3751),f166(x3753,x3754,x3755,x3752)) % 199.49/199.86 [376]~E(x3761,x3762)+E(f873(x3761,x3763,x3764),f873(x3762,x3763,x3764)) % 199.49/199.86 [377]~E(x3771,x3772)+E(f873(x3773,x3771,x3774),f873(x3773,x3772,x3774)) % 199.49/199.86 [378]~E(x3781,x3782)+E(f873(x3783,x3784,x3781),f873(x3783,x3784,x3782)) % 199.49/199.86 [379]~E(x3791,x3792)+E(f741(x3791,x3793),f741(x3792,x3793)) % 199.49/199.86 [380]~E(x3801,x3802)+E(f741(x3803,x3801),f741(x3803,x3802)) % 199.49/199.86 [381]~E(x3811,x3812)+E(f39(x3811,x3813),f39(x3812,x3813)) % 199.49/199.86 [382]~E(x3821,x3822)+E(f39(x3823,x3821),f39(x3823,x3822)) % 199.49/199.86 [383]~E(x3831,x3832)+E(f656(x3831,x3833,x3834,x3835,x3836,x3837),f656(x3832,x3833,x3834,x3835,x3836,x3837)) % 199.49/199.86 [384]~E(x3841,x3842)+E(f656(x3843,x3841,x3844,x3845,x3846,x3847),f656(x3843,x3842,x3844,x3845,x3846,x3847)) % 199.49/199.86 [385]~E(x3851,x3852)+E(f656(x3853,x3854,x3851,x3855,x3856,x3857),f656(x3853,x3854,x3852,x3855,x3856,x3857)) % 199.49/199.86 [386]~E(x3861,x3862)+E(f656(x3863,x3864,x3865,x3861,x3866,x3867),f656(x3863,x3864,x3865,x3862,x3866,x3867)) % 199.49/199.86 [387]~E(x3871,x3872)+E(f656(x3873,x3874,x3875,x3876,x3871,x3877),f656(x3873,x3874,x3875,x3876,x3872,x3877)) % 199.49/199.86 [388]~E(x3881,x3882)+E(f656(x3883,x3884,x3885,x3886,x3887,x3881),f656(x3883,x3884,x3885,x3886,x3887,x3882)) % 199.49/199.86 [389]~E(x3891,x3892)+E(f76(x3891,x3893,x3894,x3895,x3896),f76(x3892,x3893,x3894,x3895,x3896)) % 199.49/199.86 [390]~E(x3901,x3902)+E(f76(x3903,x3901,x3904,x3905,x3906),f76(x3903,x3902,x3904,x3905,x3906)) % 199.49/199.86 [391]~E(x3911,x3912)+E(f76(x3913,x3914,x3911,x3915,x3916),f76(x3913,x3914,x3912,x3915,x3916)) % 199.49/199.86 [392]~E(x3921,x3922)+E(f76(x3923,x3924,x3925,x3921,x3926),f76(x3923,x3924,x3925,x3922,x3926)) % 199.49/199.86 [393]~E(x3931,x3932)+E(f76(x3933,x3934,x3935,x3936,x3931),f76(x3933,x3934,x3935,x3936,x3932)) % 199.49/199.86 [394]~E(x3941,x3942)+E(f141(x3941),f141(x3942)) % 199.49/199.86 [395]~E(x3951,x3952)+E(f99(x3951),f99(x3952)) % 199.49/199.86 [396]~E(x3961,x3962)+E(f261(x3961,x3963,x3964,x3965,x3966,x3967),f261(x3962,x3963,x3964,x3965,x3966,x3967)) % 199.49/199.86 [397]~E(x3971,x3972)+E(f261(x3973,x3971,x3974,x3975,x3976,x3977),f261(x3973,x3972,x3974,x3975,x3976,x3977)) % 199.49/199.86 [398]~E(x3981,x3982)+E(f261(x3983,x3984,x3981,x3985,x3986,x3987),f261(x3983,x3984,x3982,x3985,x3986,x3987)) % 199.49/199.86 [399]~E(x3991,x3992)+E(f261(x3993,x3994,x3995,x3991,x3996,x3997),f261(x3993,x3994,x3995,x3992,x3996,x3997)) % 199.49/199.86 [400]~E(x4001,x4002)+E(f261(x4003,x4004,x4005,x4006,x4001,x4007),f261(x4003,x4004,x4005,x4006,x4002,x4007)) % 199.49/199.86 [401]~E(x4011,x4012)+E(f261(x4013,x4014,x4015,x4016,x4017,x4011),f261(x4013,x4014,x4015,x4016,x4017,x4012)) % 199.49/199.86 [402]~E(x4021,x4022)+E(f352(x4021,x4023,x4024,x4025),f352(x4022,x4023,x4024,x4025)) % 199.49/199.86 [403]~E(x4031,x4032)+E(f352(x4033,x4031,x4034,x4035),f352(x4033,x4032,x4034,x4035)) % 199.49/199.86 [404]~E(x4041,x4042)+E(f352(x4043,x4044,x4041,x4045),f352(x4043,x4044,x4042,x4045)) % 199.49/199.86 [405]~E(x4051,x4052)+E(f352(x4053,x4054,x4055,x4051),f352(x4053,x4054,x4055,x4052)) % 199.49/199.86 [406]~E(x4061,x4062)+E(f818(x4061),f818(x4062)) % 199.49/199.86 [407]~E(x4071,x4072)+E(f122(x4071),f122(x4072)) % 199.49/199.86 [408]~E(x4081,x4082)+E(f123(x4081,x4083),f123(x4082,x4083)) % 199.49/199.86 [409]~E(x4091,x4092)+E(f123(x4093,x4091),f123(x4093,x4092)) % 199.49/199.86 [410]~E(x4101,x4102)+E(f69(x4101,x4103,x4104),f69(x4102,x4103,x4104)) % 199.49/199.86 [411]~E(x4111,x4112)+E(f69(x4113,x4111,x4114),f69(x4113,x4112,x4114)) % 199.49/199.86 [412]~E(x4121,x4122)+E(f69(x4123,x4124,x4121),f69(x4123,x4124,x4122)) % 199.49/199.86 [413]~E(x4131,x4132)+E(f60(x4131,x4133,x4134,x4135),f60(x4132,x4133,x4134,x4135)) % 199.49/199.86 [414]~E(x4141,x4142)+E(f60(x4143,x4141,x4144,x4145),f60(x4143,x4142,x4144,x4145)) % 199.49/199.86 [415]~E(x4151,x4152)+E(f60(x4153,x4154,x4151,x4155),f60(x4153,x4154,x4152,x4155)) % 199.49/199.86 [416]~E(x4161,x4162)+E(f60(x4163,x4164,x4165,x4161),f60(x4163,x4164,x4165,x4162)) % 199.49/199.86 [417]~E(x4171,x4172)+E(f674(x4171,x4173,x4174),f674(x4172,x4173,x4174)) % 199.49/199.86 [418]~E(x4181,x4182)+E(f674(x4183,x4181,x4184),f674(x4183,x4182,x4184)) % 199.49/199.86 [419]~E(x4191,x4192)+E(f674(x4193,x4194,x4191),f674(x4193,x4194,x4192)) % 199.49/199.86 [420]~E(x4201,x4202)+E(f31(x4201,x4203),f31(x4202,x4203)) % 199.49/199.86 [421]~E(x4211,x4212)+E(f31(x4213,x4211),f31(x4213,x4212)) % 199.49/199.86 [422]~E(x4221,x4222)+E(f87(x4221,x4223),f87(x4222,x4223)) % 199.49/199.86 [423]~E(x4231,x4232)+E(f87(x4233,x4231),f87(x4233,x4232)) % 199.49/199.86 [424]~E(x4241,x4242)+E(f791(x4241,x4243,x4244,x4245),f791(x4242,x4243,x4244,x4245)) % 199.49/199.86 [425]~E(x4251,x4252)+E(f791(x4253,x4251,x4254,x4255),f791(x4253,x4252,x4254,x4255)) % 199.49/199.86 [426]~E(x4261,x4262)+E(f791(x4263,x4264,x4261,x4265),f791(x4263,x4264,x4262,x4265)) % 199.49/199.86 [427]~E(x4271,x4272)+E(f791(x4273,x4274,x4275,x4271),f791(x4273,x4274,x4275,x4272)) % 199.49/199.86 [428]~E(x4281,x4282)+E(f92(x4281,x4283),f92(x4282,x4283)) % 199.49/199.86 [429]~E(x4291,x4292)+E(f92(x4293,x4291),f92(x4293,x4292)) % 199.49/199.86 [430]~E(x4301,x4302)+E(f181(x4301,x4303),f181(x4302,x4303)) % 199.49/199.86 [431]~E(x4311,x4312)+E(f181(x4313,x4311),f181(x4313,x4312)) % 199.49/199.86 [432]~E(x4321,x4322)+E(f156(x4321,x4323),f156(x4322,x4323)) % 199.49/199.86 [433]~E(x4331,x4332)+E(f156(x4333,x4331),f156(x4333,x4332)) % 199.49/199.86 [434]~E(x4341,x4342)+E(f266(x4341,x4343),f266(x4342,x4343)) % 199.49/199.86 [435]~E(x4351,x4352)+E(f266(x4353,x4351),f266(x4353,x4352)) % 199.49/199.86 [436]~E(x4361,x4362)+E(f738(x4361,x4363),f738(x4362,x4363)) % 199.49/199.86 [437]~E(x4371,x4372)+E(f738(x4373,x4371),f738(x4373,x4372)) % 199.49/199.86 [438]~E(x4381,x4382)+E(f304(x4381),f304(x4382)) % 199.49/199.86 [439]~E(x4391,x4392)+E(f178(x4391),f178(x4392)) % 199.49/199.86 [440]~E(x4401,x4402)+E(f475(x4401,x4403,x4404,x4405),f475(x4402,x4403,x4404,x4405)) % 199.49/199.86 [441]~E(x4411,x4412)+E(f475(x4413,x4411,x4414,x4415),f475(x4413,x4412,x4414,x4415)) % 199.49/199.86 [442]~E(x4421,x4422)+E(f475(x4423,x4424,x4421,x4425),f475(x4423,x4424,x4422,x4425)) % 199.49/199.86 [443]~E(x4431,x4432)+E(f475(x4433,x4434,x4435,x4431),f475(x4433,x4434,x4435,x4432)) % 199.49/199.86 [444]~E(x4441,x4442)+E(f162(x4441,x4443),f162(x4442,x4443)) % 199.49/199.86 [445]~E(x4451,x4452)+E(f162(x4453,x4451),f162(x4453,x4452)) % 199.49/199.86 [446]~E(x4461,x4462)+E(f180(x4461,x4463,x4464),f180(x4462,x4463,x4464)) % 199.49/199.86 [447]~E(x4471,x4472)+E(f180(x4473,x4471,x4474),f180(x4473,x4472,x4474)) % 199.49/199.86 [448]~E(x4481,x4482)+E(f180(x4483,x4484,x4481),f180(x4483,x4484,x4482)) % 199.49/199.86 [449]~E(x4491,x4492)+E(f847(x4491,x4493,x4494),f847(x4492,x4493,x4494)) % 199.49/199.86 [450]~E(x4501,x4502)+E(f847(x4503,x4501,x4504),f847(x4503,x4502,x4504)) % 199.49/199.86 [451]~E(x4511,x4512)+E(f847(x4513,x4514,x4511),f847(x4513,x4514,x4512)) % 199.49/199.86 [452]~E(x4521,x4522)+E(f901(x4521,x4523,x4524,x4525,x4526),f901(x4522,x4523,x4524,x4525,x4526)) % 199.49/199.86 [453]~E(x4531,x4532)+E(f901(x4533,x4531,x4534,x4535,x4536),f901(x4533,x4532,x4534,x4535,x4536)) % 199.49/199.86 [454]~E(x4541,x4542)+E(f901(x4543,x4544,x4541,x4545,x4546),f901(x4543,x4544,x4542,x4545,x4546)) % 199.49/199.86 [455]~E(x4551,x4552)+E(f901(x4553,x4554,x4555,x4551,x4556),f901(x4553,x4554,x4555,x4552,x4556)) % 199.49/199.86 [456]~E(x4561,x4562)+E(f901(x4563,x4564,x4565,x4566,x4561),f901(x4563,x4564,x4565,x4566,x4562)) % 199.49/199.86 [457]~E(x4571,x4572)+E(f377(x4571,x4573,x4574),f377(x4572,x4573,x4574)) % 199.49/199.86 [458]~E(x4581,x4582)+E(f377(x4583,x4581,x4584),f377(x4583,x4582,x4584)) % 199.49/199.86 [459]~E(x4591,x4592)+E(f377(x4593,x4594,x4591),f377(x4593,x4594,x4592)) % 199.49/199.86 [460]~E(x4601,x4602)+E(f163(x4601,x4603),f163(x4602,x4603)) % 199.49/199.86 [461]~E(x4611,x4612)+E(f163(x4613,x4611),f163(x4613,x4612)) % 199.49/199.86 [462]~E(x4621,x4622)+E(f220(x4621,x4623),f220(x4622,x4623)) % 199.49/199.86 [463]~E(x4631,x4632)+E(f220(x4633,x4631),f220(x4633,x4632)) % 199.49/199.86 [464]~E(x4641,x4642)+E(f874(x4641,x4643,x4644),f874(x4642,x4643,x4644)) % 199.49/199.86 [465]~E(x4651,x4652)+E(f874(x4653,x4651,x4654),f874(x4653,x4652,x4654)) % 199.49/199.86 [466]~E(x4661,x4662)+E(f874(x4663,x4664,x4661),f874(x4663,x4664,x4662)) % 199.49/199.86 [467]~E(x4671,x4672)+E(f147(x4671,x4673),f147(x4672,x4673)) % 199.49/199.86 [468]~E(x4681,x4682)+E(f147(x4683,x4681),f147(x4683,x4682)) % 199.49/199.86 [469]~E(x4691,x4692)+E(f532(x4691,x4693,x4694,x4695),f532(x4692,x4693,x4694,x4695)) % 199.49/199.86 [470]~E(x4701,x4702)+E(f532(x4703,x4701,x4704,x4705),f532(x4703,x4702,x4704,x4705)) % 199.49/199.86 [471]~E(x4711,x4712)+E(f532(x4713,x4714,x4711,x4715),f532(x4713,x4714,x4712,x4715)) % 199.49/199.86 [472]~E(x4721,x4722)+E(f532(x4723,x4724,x4725,x4721),f532(x4723,x4724,x4725,x4722)) % 199.49/199.86 [473]~E(x4731,x4732)+E(f869(x4731,x4733,x4734),f869(x4732,x4733,x4734)) % 199.49/199.86 [474]~E(x4741,x4742)+E(f869(x4743,x4741,x4744),f869(x4743,x4742,x4744)) % 199.49/199.86 [475]~E(x4751,x4752)+E(f869(x4753,x4754,x4751),f869(x4753,x4754,x4752)) % 199.49/199.86 [476]~E(x4761,x4762)+E(f868(x4761,x4763,x4764),f868(x4762,x4763,x4764)) % 199.49/199.86 [477]~E(x4771,x4772)+E(f868(x4773,x4771,x4774),f868(x4773,x4772,x4774)) % 199.49/199.86 [478]~E(x4781,x4782)+E(f868(x4783,x4784,x4781),f868(x4783,x4784,x4782)) % 199.49/199.86 [479]~E(x4791,x4792)+E(f168(x4791),f168(x4792)) % 199.49/199.86 [480]~E(x4801,x4802)+E(f161(x4801,x4803),f161(x4802,x4803)) % 199.49/199.86 [481]~E(x4811,x4812)+E(f161(x4813,x4811),f161(x4813,x4812)) % 199.49/199.86 [482]~E(x4821,x4822)+E(f567(x4821,x4823,x4824),f567(x4822,x4823,x4824)) % 199.49/199.86 [483]~E(x4831,x4832)+E(f567(x4833,x4831,x4834),f567(x4833,x4832,x4834)) % 199.49/199.86 [484]~E(x4841,x4842)+E(f567(x4843,x4844,x4841),f567(x4843,x4844,x4842)) % 199.49/199.86 [485]~E(x4851,x4852)+E(f78(x4851,x4853,x4854,x4855,x4856),f78(x4852,x4853,x4854,x4855,x4856)) % 199.49/199.86 [486]~E(x4861,x4862)+E(f78(x4863,x4861,x4864,x4865,x4866),f78(x4863,x4862,x4864,x4865,x4866)) % 199.49/199.86 [487]~E(x4871,x4872)+E(f78(x4873,x4874,x4871,x4875,x4876),f78(x4873,x4874,x4872,x4875,x4876)) % 199.49/199.86 [488]~E(x4881,x4882)+E(f78(x4883,x4884,x4885,x4881,x4886),f78(x4883,x4884,x4885,x4882,x4886)) % 199.49/199.86 [489]~E(x4891,x4892)+E(f78(x4893,x4894,x4895,x4896,x4891),f78(x4893,x4894,x4895,x4896,x4892)) % 199.49/199.86 [490]~E(x4901,x4902)+E(f250(x4901,x4903,x4904),f250(x4902,x4903,x4904)) % 199.49/199.86 [491]~E(x4911,x4912)+E(f250(x4913,x4911,x4914),f250(x4913,x4912,x4914)) % 199.49/199.86 [492]~E(x4921,x4922)+E(f250(x4923,x4924,x4921),f250(x4923,x4924,x4922)) % 199.49/199.86 [493]~E(x4931,x4932)+E(f807(x4931,x4933,x4934),f807(x4932,x4933,x4934)) % 199.49/199.86 [494]~E(x4941,x4942)+E(f807(x4943,x4941,x4944),f807(x4943,x4942,x4944)) % 199.49/199.86 [495]~E(x4951,x4952)+E(f807(x4953,x4954,x4951),f807(x4953,x4954,x4952)) % 199.49/199.86 [496]~E(x4961,x4962)+E(f50(x4961,x4963),f50(x4962,x4963)) % 199.49/199.86 [497]~E(x4971,x4972)+E(f50(x4973,x4971),f50(x4973,x4972)) % 199.49/199.86 [498]~E(x4981,x4982)+E(f786(x4981,x4983,x4984),f786(x4982,x4983,x4984)) % 199.49/199.86 [499]~E(x4991,x4992)+E(f786(x4993,x4991,x4994),f786(x4993,x4992,x4994)) % 199.49/199.86 [500]~E(x5001,x5002)+E(f786(x5003,x5004,x5001),f786(x5003,x5004,x5002)) % 199.49/199.86 [501]~E(x5011,x5012)+E(f182(x5011,x5013),f182(x5012,x5013)) % 199.49/199.86 [502]~E(x5021,x5022)+E(f182(x5023,x5021),f182(x5023,x5022)) % 199.49/199.86 [503]~E(x5031,x5032)+E(f920(x5031),f920(x5032)) % 199.49/199.86 [504]~E(x5041,x5042)+E(f679(x5041,x5043,x5044,x5045),f679(x5042,x5043,x5044,x5045)) % 199.49/199.86 [505]~E(x5051,x5052)+E(f679(x5053,x5051,x5054,x5055),f679(x5053,x5052,x5054,x5055)) % 199.49/199.86 [506]~E(x5061,x5062)+E(f679(x5063,x5064,x5061,x5065),f679(x5063,x5064,x5062,x5065)) % 199.49/199.86 [507]~E(x5071,x5072)+E(f679(x5073,x5074,x5075,x5071),f679(x5073,x5074,x5075,x5072)) % 199.49/199.86 [508]~E(x5081,x5082)+E(f598(x5081,x5083,x5084),f598(x5082,x5083,x5084)) % 199.49/199.86 [509]~E(x5091,x5092)+E(f598(x5093,x5091,x5094),f598(x5093,x5092,x5094)) % 199.49/199.86 [510]~E(x5101,x5102)+E(f598(x5103,x5104,x5101),f598(x5103,x5104,x5102)) % 199.49/199.86 [511]~E(x5111,x5112)+E(f317(x5111),f317(x5112)) % 199.49/199.86 [512]~E(x5121,x5122)+E(f893(x5121,x5123,x5124),f893(x5122,x5123,x5124)) % 199.49/199.86 [513]~E(x5131,x5132)+E(f893(x5133,x5131,x5134),f893(x5133,x5132,x5134)) % 199.49/199.86 [514]~E(x5141,x5142)+E(f893(x5143,x5144,x5141),f893(x5143,x5144,x5142)) % 199.49/199.86 [515]~E(x5151,x5152)+E(f90(x5151),f90(x5152)) % 199.49/199.86 [516]~E(x5161,x5162)+E(f159(x5161,x5163,x5164,x5165),f159(x5162,x5163,x5164,x5165)) % 199.49/199.86 [517]~E(x5171,x5172)+E(f159(x5173,x5171,x5174,x5175),f159(x5173,x5172,x5174,x5175)) % 199.49/199.86 [518]~E(x5181,x5182)+E(f159(x5183,x5184,x5181,x5185),f159(x5183,x5184,x5182,x5185)) % 199.49/199.86 [519]~E(x5191,x5192)+E(f159(x5193,x5194,x5195,x5191),f159(x5193,x5194,x5195,x5192)) % 199.49/199.86 [520]~E(x5201,x5202)+E(f433(x5201,x5203,x5204,x5205,x5206,x5207,x5208,x5209),f433(x5202,x5203,x5204,x5205,x5206,x5207,x5208,x5209)) % 199.49/199.86 [521]~E(x5211,x5212)+E(f433(x5213,x5211,x5214,x5215,x5216,x5217,x5218,x5219),f433(x5213,x5212,x5214,x5215,x5216,x5217,x5218,x5219)) % 199.49/199.86 [522]~E(x5221,x5222)+E(f433(x5223,x5224,x5221,x5225,x5226,x5227,x5228,x5229),f433(x5223,x5224,x5222,x5225,x5226,x5227,x5228,x5229)) % 199.49/199.86 [523]~E(x5231,x5232)+E(f433(x5233,x5234,x5235,x5231,x5236,x5237,x5238,x5239),f433(x5233,x5234,x5235,x5232,x5236,x5237,x5238,x5239)) % 199.49/199.86 [524]~E(x5241,x5242)+E(f433(x5243,x5244,x5245,x5246,x5241,x5247,x5248,x5249),f433(x5243,x5244,x5245,x5246,x5242,x5247,x5248,x5249)) % 199.49/199.86 [525]~E(x5251,x5252)+E(f433(x5253,x5254,x5255,x5256,x5257,x5251,x5258,x5259),f433(x5253,x5254,x5255,x5256,x5257,x5252,x5258,x5259)) % 199.49/199.86 [526]~E(x5261,x5262)+E(f433(x5263,x5264,x5265,x5266,x5267,x5268,x5261,x5269),f433(x5263,x5264,x5265,x5266,x5267,x5268,x5262,x5269)) % 199.49/199.86 [527]~E(x5271,x5272)+E(f433(x5273,x5274,x5275,x5276,x5277,x5278,x5279,x5271),f433(x5273,x5274,x5275,x5276,x5277,x5278,x5279,x5272)) % 199.49/199.86 [528]~E(x5281,x5282)+E(f458(x5281,x5283,x5284,x5285),f458(x5282,x5283,x5284,x5285)) % 199.49/199.86 [529]~E(x5291,x5292)+E(f458(x5293,x5291,x5294,x5295),f458(x5293,x5292,x5294,x5295)) % 199.49/199.86 [530]~E(x5301,x5302)+E(f458(x5303,x5304,x5301,x5305),f458(x5303,x5304,x5302,x5305)) % 199.49/199.86 [531]~E(x5311,x5312)+E(f458(x5313,x5314,x5315,x5311),f458(x5313,x5314,x5315,x5312)) % 199.49/199.86 [532]~E(x5321,x5322)+E(f193(x5321,x5323,x5324,x5325),f193(x5322,x5323,x5324,x5325)) % 199.49/199.86 [533]~E(x5331,x5332)+E(f193(x5333,x5331,x5334,x5335),f193(x5333,x5332,x5334,x5335)) % 199.49/199.86 [534]~E(x5341,x5342)+E(f193(x5343,x5344,x5341,x5345),f193(x5343,x5344,x5342,x5345)) % 199.49/199.86 [535]~E(x5351,x5352)+E(f193(x5353,x5354,x5355,x5351),f193(x5353,x5354,x5355,x5352)) % 199.49/199.86 [536]~E(x5361,x5362)+E(f730(x5361,x5363,x5364,x5365,x5366),f730(x5362,x5363,x5364,x5365,x5366)) % 199.49/199.86 [537]~E(x5371,x5372)+E(f730(x5373,x5371,x5374,x5375,x5376),f730(x5373,x5372,x5374,x5375,x5376)) % 199.49/199.86 [538]~E(x5381,x5382)+E(f730(x5383,x5384,x5381,x5385,x5386),f730(x5383,x5384,x5382,x5385,x5386)) % 199.49/199.86 [539]~E(x5391,x5392)+E(f730(x5393,x5394,x5395,x5391,x5396),f730(x5393,x5394,x5395,x5392,x5396)) % 199.49/199.86 [540]~E(x5401,x5402)+E(f730(x5403,x5404,x5405,x5406,x5401),f730(x5403,x5404,x5405,x5406,x5402)) % 199.49/199.86 [541]~E(x5411,x5412)+E(f65(x5411,x5413,x5414),f65(x5412,x5413,x5414)) % 199.49/199.86 [542]~E(x5421,x5422)+E(f65(x5423,x5421,x5424),f65(x5423,x5422,x5424)) % 199.49/199.86 [543]~E(x5431,x5432)+E(f65(x5433,x5434,x5431),f65(x5433,x5434,x5432)) % 199.49/199.86 [544]~E(x5441,x5442)+E(f285(x5441),f285(x5442)) % 199.49/199.86 [545]~E(x5451,x5452)+E(f269(x5451,x5453),f269(x5452,x5453)) % 199.49/199.86 [546]~E(x5461,x5462)+E(f269(x5463,x5461),f269(x5463,x5462)) % 199.49/199.86 [547]~E(x5471,x5472)+E(f878(x5471,x5473),f878(x5472,x5473)) % 199.49/199.86 [548]~E(x5481,x5482)+E(f878(x5483,x5481),f878(x5483,x5482)) % 199.49/199.86 [549]~E(x5491,x5492)+E(f490(x5491,x5493,x5494,x5495,x5496,x5497),f490(x5492,x5493,x5494,x5495,x5496,x5497)) % 199.49/199.86 [550]~E(x5501,x5502)+E(f490(x5503,x5501,x5504,x5505,x5506,x5507),f490(x5503,x5502,x5504,x5505,x5506,x5507)) % 199.49/199.86 [551]~E(x5511,x5512)+E(f490(x5513,x5514,x5511,x5515,x5516,x5517),f490(x5513,x5514,x5512,x5515,x5516,x5517)) % 199.49/199.86 [552]~E(x5521,x5522)+E(f490(x5523,x5524,x5525,x5521,x5526,x5527),f490(x5523,x5524,x5525,x5522,x5526,x5527)) % 199.49/199.86 [553]~E(x5531,x5532)+E(f490(x5533,x5534,x5535,x5536,x5531,x5537),f490(x5533,x5534,x5535,x5536,x5532,x5537)) % 199.49/199.86 [554]~E(x5541,x5542)+E(f490(x5543,x5544,x5545,x5546,x5547,x5541),f490(x5543,x5544,x5545,x5546,x5547,x5542)) % 199.49/199.86 [555]~E(x5551,x5552)+E(f218(x5551,x5553),f218(x5552,x5553)) % 199.49/199.86 [556]~E(x5561,x5562)+E(f218(x5563,x5561),f218(x5563,x5562)) % 199.49/199.86 [557]~E(x5571,x5572)+E(f664(x5571,x5573,x5574,x5575,x5576),f664(x5572,x5573,x5574,x5575,x5576)) % 199.49/199.86 [558]~E(x5581,x5582)+E(f664(x5583,x5581,x5584,x5585,x5586),f664(x5583,x5582,x5584,x5585,x5586)) % 199.49/199.86 [559]~E(x5591,x5592)+E(f664(x5593,x5594,x5591,x5595,x5596),f664(x5593,x5594,x5592,x5595,x5596)) % 199.49/199.86 [560]~E(x5601,x5602)+E(f664(x5603,x5604,x5605,x5601,x5606),f664(x5603,x5604,x5605,x5602,x5606)) % 199.49/199.86 [561]~E(x5611,x5612)+E(f664(x5613,x5614,x5615,x5616,x5611),f664(x5613,x5614,x5615,x5616,x5612)) % 199.49/199.86 [562]~E(x5621,x5622)+E(f792(x5621,x5623,x5624,x5625),f792(x5622,x5623,x5624,x5625)) % 199.49/199.86 [563]~E(x5631,x5632)+E(f792(x5633,x5631,x5634,x5635),f792(x5633,x5632,x5634,x5635)) % 199.49/199.86 [564]~E(x5641,x5642)+E(f792(x5643,x5644,x5641,x5645),f792(x5643,x5644,x5642,x5645)) % 199.49/199.86 [565]~E(x5651,x5652)+E(f792(x5653,x5654,x5655,x5651),f792(x5653,x5654,x5655,x5652)) % 199.49/199.86 [566]~E(x5661,x5662)+E(f67(x5661,x5663,x5664,x5665,x5666),f67(x5662,x5663,x5664,x5665,x5666)) % 199.49/199.86 [567]~E(x5671,x5672)+E(f67(x5673,x5671,x5674,x5675,x5676),f67(x5673,x5672,x5674,x5675,x5676)) % 199.49/199.86 [568]~E(x5681,x5682)+E(f67(x5683,x5684,x5681,x5685,x5686),f67(x5683,x5684,x5682,x5685,x5686)) % 199.49/199.86 [569]~E(x5691,x5692)+E(f67(x5693,x5694,x5695,x5691,x5696),f67(x5693,x5694,x5695,x5692,x5696)) % 199.49/199.86 [570]~E(x5701,x5702)+E(f67(x5703,x5704,x5705,x5706,x5701),f67(x5703,x5704,x5705,x5706,x5702)) % 199.49/199.86 [571]~E(x5711,x5712)+E(f714(x5711,x5713,x5714),f714(x5712,x5713,x5714)) % 199.49/199.86 [572]~E(x5721,x5722)+E(f714(x5723,x5721,x5724),f714(x5723,x5722,x5724)) % 199.49/199.86 [573]~E(x5731,x5732)+E(f714(x5733,x5734,x5731),f714(x5733,x5734,x5732)) % 199.49/199.86 [574]~E(x5741,x5742)+E(f248(x5741,x5743,x5744),f248(x5742,x5743,x5744)) % 199.49/199.86 [575]~E(x5751,x5752)+E(f248(x5753,x5751,x5754),f248(x5753,x5752,x5754)) % 199.49/199.86 [576]~E(x5761,x5762)+E(f248(x5763,x5764,x5761),f248(x5763,x5764,x5762)) % 199.49/199.86 [577]~E(x5771,x5772)+E(f624(x5771,x5773),f624(x5772,x5773)) % 199.49/199.86 [578]~E(x5781,x5782)+E(f624(x5783,x5781),f624(x5783,x5782)) % 199.49/199.86 [579]~E(x5791,x5792)+E(f683(x5791,x5793),f683(x5792,x5793)) % 199.49/199.86 [580]~E(x5801,x5802)+E(f683(x5803,x5801),f683(x5803,x5802)) % 199.49/199.86 [581]~E(x5811,x5812)+E(f301(x5811,x5813,x5814),f301(x5812,x5813,x5814)) % 199.49/199.86 [582]~E(x5821,x5822)+E(f301(x5823,x5821,x5824),f301(x5823,x5822,x5824)) % 199.49/199.86 [583]~E(x5831,x5832)+E(f301(x5833,x5834,x5831),f301(x5833,x5834,x5832)) % 199.49/199.86 [584]~E(x5841,x5842)+E(f316(x5841,x5843,x5844,x5845),f316(x5842,x5843,x5844,x5845)) % 199.49/199.86 [585]~E(x5851,x5852)+E(f316(x5853,x5851,x5854,x5855),f316(x5853,x5852,x5854,x5855)) % 199.49/199.86 [586]~E(x5861,x5862)+E(f316(x5863,x5864,x5861,x5865),f316(x5863,x5864,x5862,x5865)) % 199.49/199.86 [587]~E(x5871,x5872)+E(f316(x5873,x5874,x5875,x5871),f316(x5873,x5874,x5875,x5872)) % 199.49/199.86 [588]~E(x5881,x5882)+E(f556(x5881,x5883,x5884,x5885,x5886,x5887),f556(x5882,x5883,x5884,x5885,x5886,x5887)) % 199.49/199.86 [589]~E(x5891,x5892)+E(f556(x5893,x5891,x5894,x5895,x5896,x5897),f556(x5893,x5892,x5894,x5895,x5896,x5897)) % 199.49/199.86 [590]~E(x5901,x5902)+E(f556(x5903,x5904,x5901,x5905,x5906,x5907),f556(x5903,x5904,x5902,x5905,x5906,x5907)) % 199.49/199.86 [591]~E(x5911,x5912)+E(f556(x5913,x5914,x5915,x5911,x5916,x5917),f556(x5913,x5914,x5915,x5912,x5916,x5917)) % 199.49/199.86 [592]~E(x5921,x5922)+E(f556(x5923,x5924,x5925,x5926,x5921,x5927),f556(x5923,x5924,x5925,x5926,x5922,x5927)) % 199.49/199.86 [593]~E(x5931,x5932)+E(f556(x5933,x5934,x5935,x5936,x5937,x5931),f556(x5933,x5934,x5935,x5936,x5937,x5932)) % 199.49/199.86 [594]~E(x5941,x5942)+E(f412(x5941,x5943,x5944,x5945),f412(x5942,x5943,x5944,x5945)) % 199.49/199.86 [595]~E(x5951,x5952)+E(f412(x5953,x5951,x5954,x5955),f412(x5953,x5952,x5954,x5955)) % 199.49/199.86 [596]~E(x5961,x5962)+E(f412(x5963,x5964,x5961,x5965),f412(x5963,x5964,x5962,x5965)) % 199.49/199.86 [597]~E(x5971,x5972)+E(f412(x5973,x5974,x5975,x5971),f412(x5973,x5974,x5975,x5972)) % 199.49/199.86 [598]~E(x5981,x5982)+E(f757(x5981,x5983,x5984,x5985,x5986,x5987,x5988),f757(x5982,x5983,x5984,x5985,x5986,x5987,x5988)) % 199.49/199.86 [599]~E(x5991,x5992)+E(f757(x5993,x5991,x5994,x5995,x5996,x5997,x5998),f757(x5993,x5992,x5994,x5995,x5996,x5997,x5998)) % 199.49/199.86 [600]~E(x6001,x6002)+E(f757(x6003,x6004,x6001,x6005,x6006,x6007,x6008),f757(x6003,x6004,x6002,x6005,x6006,x6007,x6008)) % 199.49/199.86 [601]~E(x6011,x6012)+E(f757(x6013,x6014,x6015,x6011,x6016,x6017,x6018),f757(x6013,x6014,x6015,x6012,x6016,x6017,x6018)) % 199.49/199.86 [602]~E(x6021,x6022)+E(f757(x6023,x6024,x6025,x6026,x6021,x6027,x6028),f757(x6023,x6024,x6025,x6026,x6022,x6027,x6028)) % 199.49/199.86 [603]~E(x6031,x6032)+E(f757(x6033,x6034,x6035,x6036,x6037,x6031,x6038),f757(x6033,x6034,x6035,x6036,x6037,x6032,x6038)) % 199.49/199.86 [604]~E(x6041,x6042)+E(f757(x6043,x6044,x6045,x6046,x6047,x6048,x6041),f757(x6043,x6044,x6045,x6046,x6047,x6048,x6042)) % 199.49/199.86 [605]~E(x6051,x6052)+E(f263(x6051,x6053,x6054,x6055,x6056),f263(x6052,x6053,x6054,x6055,x6056)) % 199.49/199.86 [606]~E(x6061,x6062)+E(f263(x6063,x6061,x6064,x6065,x6066),f263(x6063,x6062,x6064,x6065,x6066)) % 199.49/199.86 [607]~E(x6071,x6072)+E(f263(x6073,x6074,x6071,x6075,x6076),f263(x6073,x6074,x6072,x6075,x6076)) % 199.49/199.86 [608]~E(x6081,x6082)+E(f263(x6083,x6084,x6085,x6081,x6086),f263(x6083,x6084,x6085,x6082,x6086)) % 199.49/199.86 [609]~E(x6091,x6092)+E(f263(x6093,x6094,x6095,x6096,x6091),f263(x6093,x6094,x6095,x6096,x6092)) % 199.49/199.86 [610]~E(x6101,x6102)+E(f84(x6101,x6103),f84(x6102,x6103)) % 199.49/199.86 [611]~E(x6111,x6112)+E(f84(x6113,x6111),f84(x6113,x6112)) % 199.49/199.86 [612]~E(x6121,x6122)+E(f267(x6121,x6123),f267(x6122,x6123)) % 199.49/199.86 [613]~E(x6131,x6132)+E(f267(x6133,x6131),f267(x6133,x6132)) % 199.49/199.86 [614]~E(x6141,x6142)+E(f364(x6141,x6143,x6144),f364(x6142,x6143,x6144)) % 199.49/199.86 [615]~E(x6151,x6152)+E(f364(x6153,x6151,x6154),f364(x6153,x6152,x6154)) % 199.49/199.86 [616]~E(x6161,x6162)+E(f364(x6163,x6164,x6161),f364(x6163,x6164,x6162)) % 199.49/199.86 [617]~E(x6171,x6172)+E(f151(x6171,x6173,x6174),f151(x6172,x6173,x6174)) % 199.49/199.86 [618]~E(x6181,x6182)+E(f151(x6183,x6181,x6184),f151(x6183,x6182,x6184)) % 199.49/199.86 [619]~E(x6191,x6192)+E(f151(x6193,x6194,x6191),f151(x6193,x6194,x6192)) % 199.49/199.86 [620]~E(x6201,x6202)+E(f702(x6201,x6203,x6204),f702(x6202,x6203,x6204)) % 199.49/199.86 [621]~E(x6211,x6212)+E(f702(x6213,x6211,x6214),f702(x6213,x6212,x6214)) % 199.49/199.86 [622]~E(x6221,x6222)+E(f702(x6223,x6224,x6221),f702(x6223,x6224,x6222)) % 199.49/199.86 [623]~E(x6231,x6232)+E(f128(x6231,x6233),f128(x6232,x6233)) % 199.49/199.86 [624]~E(x6241,x6242)+E(f128(x6243,x6241),f128(x6243,x6242)) % 199.49/199.86 [625]~E(x6251,x6252)+E(f198(x6251,x6253,x6254,x6255),f198(x6252,x6253,x6254,x6255)) % 199.49/199.86 [626]~E(x6261,x6262)+E(f198(x6263,x6261,x6264,x6265),f198(x6263,x6262,x6264,x6265)) % 199.49/199.86 [627]~E(x6271,x6272)+E(f198(x6273,x6274,x6271,x6275),f198(x6273,x6274,x6272,x6275)) % 199.49/199.86 [628]~E(x6281,x6282)+E(f198(x6283,x6284,x6285,x6281),f198(x6283,x6284,x6285,x6282)) % 199.49/199.86 [629]~E(x6291,x6292)+E(f64(x6291,x6293),f64(x6292,x6293)) % 199.49/199.86 [630]~E(x6301,x6302)+E(f64(x6303,x6301),f64(x6303,x6302)) % 199.49/199.86 [631]~E(x6311,x6312)+E(f66(x6311,x6313,x6314),f66(x6312,x6313,x6314)) % 199.49/199.86 [632]~E(x6321,x6322)+E(f66(x6323,x6321,x6324),f66(x6323,x6322,x6324)) % 199.49/199.86 [633]~E(x6331,x6332)+E(f66(x6333,x6334,x6331),f66(x6333,x6334,x6332)) % 199.49/199.86 [634]~E(x6341,x6342)+E(f597(x6341,x6343,x6344),f597(x6342,x6343,x6344)) % 199.49/199.86 [635]~E(x6351,x6352)+E(f597(x6353,x6351,x6354),f597(x6353,x6352,x6354)) % 199.49/199.86 [636]~E(x6361,x6362)+E(f597(x6363,x6364,x6361),f597(x6363,x6364,x6362)) % 199.49/199.86 [637]~E(x6371,x6372)+E(f789(x6371,x6373,x6374,x6375),f789(x6372,x6373,x6374,x6375)) % 199.49/199.86 [638]~E(x6381,x6382)+E(f789(x6383,x6381,x6384,x6385),f789(x6383,x6382,x6384,x6385)) % 199.49/199.86 [639]~E(x6391,x6392)+E(f789(x6393,x6394,x6391,x6395),f789(x6393,x6394,x6392,x6395)) % 199.49/199.86 [640]~E(x6401,x6402)+E(f789(x6403,x6404,x6405,x6401),f789(x6403,x6404,x6405,x6402)) % 199.49/199.86 [641]~E(x6411,x6412)+E(f273(x6411,x6413),f273(x6412,x6413)) % 199.49/199.86 [642]~E(x6421,x6422)+E(f273(x6423,x6421),f273(x6423,x6422)) % 199.49/199.86 [643]~E(x6431,x6432)+E(f271(x6431,x6433),f271(x6432,x6433)) % 199.49/199.86 [644]~E(x6441,x6442)+E(f271(x6443,x6441),f271(x6443,x6442)) % 199.49/199.86 [645]~E(x6451,x6452)+E(f129(x6451,x6453,x6454),f129(x6452,x6453,x6454)) % 199.49/199.86 [646]~E(x6461,x6462)+E(f129(x6463,x6461,x6464),f129(x6463,x6462,x6464)) % 199.49/199.86 [647]~E(x6471,x6472)+E(f129(x6473,x6474,x6471),f129(x6473,x6474,x6472)) % 199.49/199.86 [648]~E(x6481,x6482)+E(f177(x6481,x6483,x6484),f177(x6482,x6483,x6484)) % 199.49/199.86 [649]~E(x6491,x6492)+E(f177(x6493,x6491,x6494),f177(x6493,x6492,x6494)) % 199.49/199.86 [650]~E(x6501,x6502)+E(f177(x6503,x6504,x6501),f177(x6503,x6504,x6502)) % 199.49/199.86 [651]~E(x6511,x6512)+E(f344(x6511,x6513,x6514),f344(x6512,x6513,x6514)) % 199.49/199.86 [652]~E(x6521,x6522)+E(f344(x6523,x6521,x6524),f344(x6523,x6522,x6524)) % 199.49/199.86 [653]~E(x6531,x6532)+E(f344(x6533,x6534,x6531),f344(x6533,x6534,x6532)) % 199.49/199.86 [654]~E(x6541,x6542)+E(f112(x6541),f112(x6542)) % 199.49/199.86 [655]~E(x6551,x6552)+E(f575(x6551,x6553,x6554,x6555),f575(x6552,x6553,x6554,x6555)) % 199.49/199.86 [656]~E(x6561,x6562)+E(f575(x6563,x6561,x6564,x6565),f575(x6563,x6562,x6564,x6565)) % 199.49/199.86 [657]~E(x6571,x6572)+E(f575(x6573,x6574,x6571,x6575),f575(x6573,x6574,x6572,x6575)) % 199.49/199.86 [658]~E(x6581,x6582)+E(f575(x6583,x6584,x6585,x6581),f575(x6583,x6584,x6585,x6582)) % 199.49/199.86 [659]~E(x6591,x6592)+E(f787(x6591,x6593,x6594,x6595,x6596),f787(x6592,x6593,x6594,x6595,x6596)) % 199.49/199.86 [660]~E(x6601,x6602)+E(f787(x6603,x6601,x6604,x6605,x6606),f787(x6603,x6602,x6604,x6605,x6606)) % 199.49/199.86 [661]~E(x6611,x6612)+E(f787(x6613,x6614,x6611,x6615,x6616),f787(x6613,x6614,x6612,x6615,x6616)) % 199.49/199.86 [662]~E(x6621,x6622)+E(f787(x6623,x6624,x6625,x6621,x6626),f787(x6623,x6624,x6625,x6622,x6626)) % 199.49/199.86 [663]~E(x6631,x6632)+E(f787(x6633,x6634,x6635,x6636,x6631),f787(x6633,x6634,x6635,x6636,x6632)) % 199.49/199.86 [664]~E(x6641,x6642)+E(f276(x6641,x6643,x6644,x6645),f276(x6642,x6643,x6644,x6645)) % 199.49/199.86 [665]~E(x6651,x6652)+E(f276(x6653,x6651,x6654,x6655),f276(x6653,x6652,x6654,x6655)) % 199.49/199.86 [666]~E(x6661,x6662)+E(f276(x6663,x6664,x6661,x6665),f276(x6663,x6664,x6662,x6665)) % 199.49/199.86 [667]~E(x6671,x6672)+E(f276(x6673,x6674,x6675,x6671),f276(x6673,x6674,x6675,x6672)) % 199.49/199.86 [668]~E(x6681,x6682)+E(f843(x6681,x6683,x6684,x6685),f843(x6682,x6683,x6684,x6685)) % 199.49/199.86 [669]~E(x6691,x6692)+E(f843(x6693,x6691,x6694,x6695),f843(x6693,x6692,x6694,x6695)) % 199.49/199.86 [670]~E(x6701,x6702)+E(f843(x6703,x6704,x6701,x6705),f843(x6703,x6704,x6702,x6705)) % 199.49/199.86 [671]~E(x6711,x6712)+E(f843(x6713,x6714,x6715,x6711),f843(x6713,x6714,x6715,x6712)) % 199.49/199.86 [672]~E(x6721,x6722)+E(f855(x6721,x6723,x6724,x6725,x6726,x6727,x6728,x6729),f855(x6722,x6723,x6724,x6725,x6726,x6727,x6728,x6729)) % 199.49/199.86 [673]~E(x6731,x6732)+E(f855(x6733,x6731,x6734,x6735,x6736,x6737,x6738,x6739),f855(x6733,x6732,x6734,x6735,x6736,x6737,x6738,x6739)) % 199.49/199.86 [674]~E(x6741,x6742)+E(f855(x6743,x6744,x6741,x6745,x6746,x6747,x6748,x6749),f855(x6743,x6744,x6742,x6745,x6746,x6747,x6748,x6749)) % 199.49/199.86 [675]~E(x6751,x6752)+E(f855(x6753,x6754,x6755,x6751,x6756,x6757,x6758,x6759),f855(x6753,x6754,x6755,x6752,x6756,x6757,x6758,x6759)) % 199.49/199.86 [676]~E(x6761,x6762)+E(f855(x6763,x6764,x6765,x6766,x6761,x6767,x6768,x6769),f855(x6763,x6764,x6765,x6766,x6762,x6767,x6768,x6769)) % 199.49/199.86 [677]~E(x6771,x6772)+E(f855(x6773,x6774,x6775,x6776,x6777,x6771,x6778,x6779),f855(x6773,x6774,x6775,x6776,x6777,x6772,x6778,x6779)) % 199.49/199.86 [678]~E(x6781,x6782)+E(f855(x6783,x6784,x6785,x6786,x6787,x6788,x6781,x6789),f855(x6783,x6784,x6785,x6786,x6787,x6788,x6782,x6789)) % 199.49/199.86 [679]~E(x6791,x6792)+E(f855(x6793,x6794,x6795,x6796,x6797,x6798,x6799,x6791),f855(x6793,x6794,x6795,x6796,x6797,x6798,x6799,x6792)) % 199.49/199.86 [680]~E(x6801,x6802)+E(f356(x6801,x6803,x6804,x6805),f356(x6802,x6803,x6804,x6805)) % 199.49/199.86 [681]~E(x6811,x6812)+E(f356(x6813,x6811,x6814,x6815),f356(x6813,x6812,x6814,x6815)) % 199.49/199.86 [682]~E(x6821,x6822)+E(f356(x6823,x6824,x6821,x6825),f356(x6823,x6824,x6822,x6825)) % 199.49/199.86 [683]~E(x6831,x6832)+E(f356(x6833,x6834,x6835,x6831),f356(x6833,x6834,x6835,x6832)) % 199.49/199.86 [684]~E(x6841,x6842)+E(f308(x6841,x6843,x6844),f308(x6842,x6843,x6844)) % 199.49/199.86 [685]~E(x6851,x6852)+E(f308(x6853,x6851,x6854),f308(x6853,x6852,x6854)) % 199.49/199.86 [686]~E(x6861,x6862)+E(f308(x6863,x6864,x6861),f308(x6863,x6864,x6862)) % 199.49/199.86 [687]~E(x6871,x6872)+E(f501(x6871,x6873,x6874,x6875,x6876),f501(x6872,x6873,x6874,x6875,x6876)) % 199.49/199.86 [688]~E(x6881,x6882)+E(f501(x6883,x6881,x6884,x6885,x6886),f501(x6883,x6882,x6884,x6885,x6886)) % 199.49/199.86 [689]~E(x6891,x6892)+E(f501(x6893,x6894,x6891,x6895,x6896),f501(x6893,x6894,x6892,x6895,x6896)) % 199.49/199.86 [690]~E(x6901,x6902)+E(f501(x6903,x6904,x6905,x6901,x6906),f501(x6903,x6904,x6905,x6902,x6906)) % 199.49/199.86 [691]~E(x6911,x6912)+E(f501(x6913,x6914,x6915,x6916,x6911),f501(x6913,x6914,x6915,x6916,x6912)) % 199.49/199.86 [692]~E(x6921,x6922)+E(f164(x6921,x6923),f164(x6922,x6923)) % 199.49/199.86 [693]~E(x6931,x6932)+E(f164(x6933,x6931),f164(x6933,x6932)) % 199.49/199.86 [694]~E(x6941,x6942)+E(f858(x6941,x6943,x6944,x6945),f858(x6942,x6943,x6944,x6945)) % 199.49/199.86 [695]~E(x6951,x6952)+E(f858(x6953,x6951,x6954,x6955),f858(x6953,x6952,x6954,x6955)) % 199.49/199.86 [696]~E(x6961,x6962)+E(f858(x6963,x6964,x6961,x6965),f858(x6963,x6964,x6962,x6965)) % 199.49/199.86 [697]~E(x6971,x6972)+E(f858(x6973,x6974,x6975,x6971),f858(x6973,x6974,x6975,x6972)) % 199.49/199.86 [698]~E(x6981,x6982)+E(f877(x6981,x6983,x6984),f877(x6982,x6983,x6984)) % 199.49/199.86 [699]~E(x6991,x6992)+E(f877(x6993,x6991,x6994),f877(x6993,x6992,x6994)) % 199.49/199.86 [700]~E(x7001,x7002)+E(f877(x7003,x7004,x7001),f877(x7003,x7004,x7002)) % 199.49/199.86 [701]~E(x7011,x7012)+E(f663(x7011,x7013,x7014,x7015,x7016),f663(x7012,x7013,x7014,x7015,x7016)) % 199.49/199.86 [702]~E(x7021,x7022)+E(f663(x7023,x7021,x7024,x7025,x7026),f663(x7023,x7022,x7024,x7025,x7026)) % 199.49/199.86 [703]~E(x7031,x7032)+E(f663(x7033,x7034,x7031,x7035,x7036),f663(x7033,x7034,x7032,x7035,x7036)) % 199.49/199.86 [704]~E(x7041,x7042)+E(f663(x7043,x7044,x7045,x7041,x7046),f663(x7043,x7044,x7045,x7042,x7046)) % 199.49/199.86 [705]~E(x7051,x7052)+E(f663(x7053,x7054,x7055,x7056,x7051),f663(x7053,x7054,x7055,x7056,x7052)) % 199.49/199.86 [706]~E(x7061,x7062)+E(f132(x7061),f132(x7062)) % 199.49/199.86 [707]~E(x7071,x7072)+E(f63(x7071,x7073,x7074),f63(x7072,x7073,x7074)) % 199.49/199.86 [708]~E(x7081,x7082)+E(f63(x7083,x7081,x7084),f63(x7083,x7082,x7084)) % 199.49/199.86 [709]~E(x7091,x7092)+E(f63(x7093,x7094,x7091),f63(x7093,x7094,x7092)) % 199.49/199.86 [710]~E(x7101,x7102)+E(f11(x7101,x7103,x7104),f11(x7102,x7103,x7104)) % 199.49/199.86 [711]~E(x7111,x7112)+E(f11(x7113,x7111,x7114),f11(x7113,x7112,x7114)) % 199.49/199.86 [712]~E(x7121,x7122)+E(f11(x7123,x7124,x7121),f11(x7123,x7124,x7122)) % 199.49/199.86 [713]~E(x7131,x7132)+E(f246(x7131,x7133,x7134),f246(x7132,x7133,x7134)) % 199.49/199.86 [714]~E(x7141,x7142)+E(f246(x7143,x7141,x7144),f246(x7143,x7142,x7144)) % 199.49/199.86 [715]~E(x7151,x7152)+E(f246(x7153,x7154,x7151),f246(x7153,x7154,x7152)) % 199.49/199.86 [716]~E(x7161,x7162)+E(f483(x7161,x7163,x7164,x7165,x7166),f483(x7162,x7163,x7164,x7165,x7166)) % 199.49/199.86 [717]~E(x7171,x7172)+E(f483(x7173,x7171,x7174,x7175,x7176),f483(x7173,x7172,x7174,x7175,x7176)) % 199.49/199.86 [718]~E(x7181,x7182)+E(f483(x7183,x7184,x7181,x7185,x7186),f483(x7183,x7184,x7182,x7185,x7186)) % 199.49/199.86 [719]~E(x7191,x7192)+E(f483(x7193,x7194,x7195,x7191,x7196),f483(x7193,x7194,x7195,x7192,x7196)) % 199.49/199.86 [720]~E(x7201,x7202)+E(f483(x7203,x7204,x7205,x7206,x7201),f483(x7203,x7204,x7205,x7206,x7202)) % 199.49/199.86 [721]~E(x7211,x7212)+E(f438(x7211,x7213,x7214,x7215),f438(x7212,x7213,x7214,x7215)) % 199.49/199.86 [722]~E(x7221,x7222)+E(f438(x7223,x7221,x7224,x7225),f438(x7223,x7222,x7224,x7225)) % 199.49/199.86 [723]~E(x7231,x7232)+E(f438(x7233,x7234,x7231,x7235),f438(x7233,x7234,x7232,x7235)) % 199.49/199.86 [724]~E(x7241,x7242)+E(f438(x7243,x7244,x7245,x7241),f438(x7243,x7244,x7245,x7242)) % 199.49/199.86 [725]~E(x7251,x7252)+E(f138(x7251),f138(x7252)) % 199.49/199.86 [726]~E(x7261,x7262)+E(f187(x7261,x7263,x7264),f187(x7262,x7263,x7264)) % 199.49/199.86 [727]~E(x7271,x7272)+E(f187(x7273,x7271,x7274),f187(x7273,x7272,x7274)) % 199.49/199.86 [728]~E(x7281,x7282)+E(f187(x7283,x7284,x7281),f187(x7283,x7284,x7282)) % 199.49/199.86 [729]~E(x7291,x7292)+E(f710(x7291,x7293,x7294,x7295,x7296),f710(x7292,x7293,x7294,x7295,x7296)) % 199.49/199.86 [730]~E(x7301,x7302)+E(f710(x7303,x7301,x7304,x7305,x7306),f710(x7303,x7302,x7304,x7305,x7306)) % 199.49/199.86 [731]~E(x7311,x7312)+E(f710(x7313,x7314,x7311,x7315,x7316),f710(x7313,x7314,x7312,x7315,x7316)) % 199.49/199.86 [732]~E(x7321,x7322)+E(f710(x7323,x7324,x7325,x7321,x7326),f710(x7323,x7324,x7325,x7322,x7326)) % 199.49/199.86 [733]~E(x7331,x7332)+E(f710(x7333,x7334,x7335,x7336,x7331),f710(x7333,x7334,x7335,x7336,x7332)) % 199.49/199.86 [734]~E(x7341,x7342)+E(f859(x7341,x7343,x7344,x7345),f859(x7342,x7343,x7344,x7345)) % 199.49/199.86 [735]~E(x7351,x7352)+E(f859(x7353,x7351,x7354,x7355),f859(x7353,x7352,x7354,x7355)) % 199.49/199.86 [736]~E(x7361,x7362)+E(f859(x7363,x7364,x7361,x7365),f859(x7363,x7364,x7362,x7365)) % 199.49/199.86 [737]~E(x7371,x7372)+E(f859(x7373,x7374,x7375,x7371),f859(x7373,x7374,x7375,x7372)) % 199.49/199.86 [738]~E(x7381,x7382)+E(f866(x7381,x7383,x7384),f866(x7382,x7383,x7384)) % 199.49/199.86 [739]~E(x7391,x7392)+E(f866(x7393,x7391,x7394),f866(x7393,x7392,x7394)) % 199.49/199.86 [740]~E(x7401,x7402)+E(f866(x7403,x7404,x7401),f866(x7403,x7404,x7402)) % 199.49/199.86 [741]~E(x7411,x7412)+E(f379(x7411,x7413,x7414),f379(x7412,x7413,x7414)) % 199.49/199.86 [742]~E(x7421,x7422)+E(f379(x7423,x7421,x7424),f379(x7423,x7422,x7424)) % 199.49/199.86 [743]~E(x7431,x7432)+E(f379(x7433,x7434,x7431),f379(x7433,x7434,x7432)) % 199.49/199.86 [744]~E(x7441,x7442)+E(f143(x7441,x7443,x7444),f143(x7442,x7443,x7444)) % 199.49/199.86 [745]~E(x7451,x7452)+E(f143(x7453,x7451,x7454),f143(x7453,x7452,x7454)) % 199.49/199.86 [746]~E(x7461,x7462)+E(f143(x7463,x7464,x7461),f143(x7463,x7464,x7462)) % 199.49/199.86 [747]~E(x7471,x7472)+E(f572(x7471,x7473,x7474),f572(x7472,x7473,x7474)) % 199.49/199.86 [748]~E(x7481,x7482)+E(f572(x7483,x7481,x7484),f572(x7483,x7482,x7484)) % 199.49/199.86 [749]~E(x7491,x7492)+E(f572(x7493,x7494,x7491),f572(x7493,x7494,x7492)) % 199.49/199.86 [750]~E(x7501,x7502)+E(f362(x7501,x7503,x7504),f362(x7502,x7503,x7504)) % 199.49/199.86 [751]~E(x7511,x7512)+E(f362(x7513,x7511,x7514),f362(x7513,x7512,x7514)) % 199.49/199.86 [752]~E(x7521,x7522)+E(f362(x7523,x7524,x7521),f362(x7523,x7524,x7522)) % 199.49/199.86 [753]~E(x7531,x7532)+E(f346(x7531,x7533,x7534),f346(x7532,x7533,x7534)) % 199.49/199.86 [754]~E(x7541,x7542)+E(f346(x7543,x7541,x7544),f346(x7543,x7542,x7544)) % 199.49/199.86 [755]~E(x7551,x7552)+E(f346(x7553,x7554,x7551),f346(x7553,x7554,x7552)) % 199.49/199.86 [756]~E(x7561,x7562)+E(f688(x7561,x7563,x7564),f688(x7562,x7563,x7564)) % 199.49/199.86 [757]~E(x7571,x7572)+E(f688(x7573,x7571,x7574),f688(x7573,x7572,x7574)) % 199.49/199.86 [758]~E(x7581,x7582)+E(f688(x7583,x7584,x7581),f688(x7583,x7584,x7582)) % 199.49/199.86 [759]~E(x7591,x7592)+E(f287(x7591,x7593),f287(x7592,x7593)) % 199.49/199.86 [760]~E(x7601,x7602)+E(f287(x7603,x7601),f287(x7603,x7602)) % 199.49/199.86 [761]~E(x7611,x7612)+E(f809(x7611,x7613,x7614,x7615),f809(x7612,x7613,x7614,x7615)) % 199.49/199.86 [762]~E(x7621,x7622)+E(f809(x7623,x7621,x7624,x7625),f809(x7623,x7622,x7624,x7625)) % 199.49/199.86 [763]~E(x7631,x7632)+E(f809(x7633,x7634,x7631,x7635),f809(x7633,x7634,x7632,x7635)) % 199.49/199.86 [764]~E(x7641,x7642)+E(f809(x7643,x7644,x7645,x7641),f809(x7643,x7644,x7645,x7642)) % 199.49/199.86 [765]~E(x7651,x7652)+E(f42(x7651),f42(x7652)) % 199.49/199.86 [766]~E(x7661,x7662)+E(f447(x7661),f447(x7662)) % 199.49/199.86 [767]~E(x7671,x7672)+E(f541(x7671,x7673,x7674,x7675),f541(x7672,x7673,x7674,x7675)) % 199.49/199.86 [768]~E(x7681,x7682)+E(f541(x7683,x7681,x7684,x7685),f541(x7683,x7682,x7684,x7685)) % 199.49/199.86 [769]~E(x7691,x7692)+E(f541(x7693,x7694,x7691,x7695),f541(x7693,x7694,x7692,x7695)) % 199.49/199.86 [770]~E(x7701,x7702)+E(f541(x7703,x7704,x7705,x7701),f541(x7703,x7704,x7705,x7702)) % 199.49/199.86 [771]~E(x7711,x7712)+E(f415(x7711,x7713,x7714,x7715),f415(x7712,x7713,x7714,x7715)) % 199.49/199.86 [772]~E(x7721,x7722)+E(f415(x7723,x7721,x7724,x7725),f415(x7723,x7722,x7724,x7725)) % 199.49/199.86 [773]~E(x7731,x7732)+E(f415(x7733,x7734,x7731,x7735),f415(x7733,x7734,x7732,x7735)) % 199.49/199.86 [774]~E(x7741,x7742)+E(f415(x7743,x7744,x7745,x7741),f415(x7743,x7744,x7745,x7742)) % 199.49/199.86 [775]~E(x7751,x7752)+E(f888(x7751,x7753),f888(x7752,x7753)) % 199.49/199.86 [776]~E(x7761,x7762)+E(f888(x7763,x7761),f888(x7763,x7762)) % 199.49/199.86 [777]~E(x7771,x7772)+E(f538(x7771,x7773,x7774),f538(x7772,x7773,x7774)) % 199.49/199.86 [778]~E(x7781,x7782)+E(f538(x7783,x7781,x7784),f538(x7783,x7782,x7784)) % 199.49/199.86 [779]~E(x7791,x7792)+E(f538(x7793,x7794,x7791),f538(x7793,x7794,x7792)) % 199.49/199.86 [780]~E(x7801,x7802)+E(f470(x7801,x7803),f470(x7802,x7803)) % 199.49/199.86 [781]~E(x7811,x7812)+E(f470(x7813,x7811),f470(x7813,x7812)) % 199.49/199.86 [782]~E(x7821,x7822)+E(f408(x7821,x7823,x7824),f408(x7822,x7823,x7824)) % 199.49/199.86 [783]~E(x7831,x7832)+E(f408(x7833,x7831,x7834),f408(x7833,x7832,x7834)) % 199.49/199.86 [784]~E(x7841,x7842)+E(f408(x7843,x7844,x7841),f408(x7843,x7844,x7842)) % 199.49/199.86 [785]~E(x7851,x7852)+E(f252(x7851,x7853,x7854),f252(x7852,x7853,x7854)) % 199.49/199.86 [786]~E(x7861,x7862)+E(f252(x7863,x7861,x7864),f252(x7863,x7862,x7864)) % 199.49/199.86 [787]~E(x7871,x7872)+E(f252(x7873,x7874,x7871),f252(x7873,x7874,x7872)) % 199.49/199.86 [788]~E(x7881,x7882)+E(f49(x7881,x7883),f49(x7882,x7883)) % 199.49/199.86 [789]~E(x7891,x7892)+E(f49(x7893,x7891),f49(x7893,x7892)) % 199.49/199.86 [790]~E(x7901,x7902)+E(f54(x7901,x7903),f54(x7902,x7903)) % 199.49/199.86 [791]~E(x7911,x7912)+E(f54(x7913,x7911),f54(x7913,x7912)) % 199.49/199.86 [792]~E(x7921,x7922)+E(f224(x7921,x7923,x7924,x7925),f224(x7922,x7923,x7924,x7925)) % 199.49/199.86 [793]~E(x7931,x7932)+E(f224(x7933,x7931,x7934,x7935),f224(x7933,x7932,x7934,x7935)) % 199.49/199.86 [794]~E(x7941,x7942)+E(f224(x7943,x7944,x7941,x7945),f224(x7943,x7944,x7942,x7945)) % 199.49/199.86 [795]~E(x7951,x7952)+E(f224(x7953,x7954,x7955,x7951),f224(x7953,x7954,x7955,x7952)) % 199.49/199.86 [796]~E(x7961,x7962)+E(f384(x7961,x7963,x7964,x7965,x7966,x7967,x7968),f384(x7962,x7963,x7964,x7965,x7966,x7967,x7968)) % 199.49/199.86 [797]~E(x7971,x7972)+E(f384(x7973,x7971,x7974,x7975,x7976,x7977,x7978),f384(x7973,x7972,x7974,x7975,x7976,x7977,x7978)) % 199.49/199.86 [798]~E(x7981,x7982)+E(f384(x7983,x7984,x7981,x7985,x7986,x7987,x7988),f384(x7983,x7984,x7982,x7985,x7986,x7987,x7988)) % 199.49/199.86 [799]~E(x7991,x7992)+E(f384(x7993,x7994,x7995,x7991,x7996,x7997,x7998),f384(x7993,x7994,x7995,x7992,x7996,x7997,x7998)) % 199.49/199.86 [800]~E(x8001,x8002)+E(f384(x8003,x8004,x8005,x8006,x8001,x8007,x8008),f384(x8003,x8004,x8005,x8006,x8002,x8007,x8008)) % 199.49/199.86 [801]~E(x8011,x8012)+E(f384(x8013,x8014,x8015,x8016,x8017,x8011,x8018),f384(x8013,x8014,x8015,x8016,x8017,x8012,x8018)) % 199.49/199.86 [802]~E(x8021,x8022)+E(f384(x8023,x8024,x8025,x8026,x8027,x8028,x8021),f384(x8023,x8024,x8025,x8026,x8027,x8028,x8022)) % 199.49/199.86 [803]~E(x8031,x8032)+E(f153(x8031,x8033,x8034,x8035),f153(x8032,x8033,x8034,x8035)) % 199.49/199.86 [804]~E(x8041,x8042)+E(f153(x8043,x8041,x8044,x8045),f153(x8043,x8042,x8044,x8045)) % 199.49/199.86 [805]~E(x8051,x8052)+E(f153(x8053,x8054,x8051,x8055),f153(x8053,x8054,x8052,x8055)) % 199.49/199.86 [806]~E(x8061,x8062)+E(f153(x8063,x8064,x8065,x8061),f153(x8063,x8064,x8065,x8062)) % 199.49/199.86 [807]~E(x8071,x8072)+E(f307(x8071),f307(x8072)) % 199.49/199.86 [808]~E(x8081,x8082)+E(f309(x8081,x8083,x8084),f309(x8082,x8083,x8084)) % 199.49/199.86 [809]~E(x8091,x8092)+E(f309(x8093,x8091,x8094),f309(x8093,x8092,x8094)) % 199.49/199.86 [810]~E(x8101,x8102)+E(f309(x8103,x8104,x8101),f309(x8103,x8104,x8102)) % 199.49/199.86 [811]~E(x8111,x8112)+E(f881(x8111,x8113,x8114),f881(x8112,x8113,x8114)) % 199.49/199.86 [812]~E(x8121,x8122)+E(f881(x8123,x8121,x8124),f881(x8123,x8122,x8124)) % 199.49/199.86 [813]~E(x8131,x8132)+E(f881(x8133,x8134,x8131),f881(x8133,x8134,x8132)) % 199.49/199.86 [814]~E(x8141,x8142)+E(f322(x8141,x8143,x8144,x8145),f322(x8142,x8143,x8144,x8145)) % 199.49/199.86 [815]~E(x8151,x8152)+E(f322(x8153,x8151,x8154,x8155),f322(x8153,x8152,x8154,x8155)) % 199.49/199.86 [816]~E(x8161,x8162)+E(f322(x8163,x8164,x8161,x8165),f322(x8163,x8164,x8162,x8165)) % 199.49/199.86 [817]~E(x8171,x8172)+E(f322(x8173,x8174,x8175,x8171),f322(x8173,x8174,x8175,x8172)) % 199.49/199.86 [818]~E(x8181,x8182)+E(f358(x8181,x8183),f358(x8182,x8183)) % 199.49/199.86 [819]~E(x8191,x8192)+E(f358(x8193,x8191),f358(x8193,x8192)) % 199.49/199.86 [820]~E(x8201,x8202)+E(f411(x8201,x8203,x8204,x8205),f411(x8202,x8203,x8204,x8205)) % 199.49/199.86 [821]~E(x8211,x8212)+E(f411(x8213,x8211,x8214,x8215),f411(x8213,x8212,x8214,x8215)) % 199.49/199.86 [822]~E(x8221,x8222)+E(f411(x8223,x8224,x8221,x8225),f411(x8223,x8224,x8222,x8225)) % 199.49/199.86 [823]~E(x8231,x8232)+E(f411(x8233,x8234,x8235,x8231),f411(x8233,x8234,x8235,x8232)) % 199.49/199.86 [824]~E(x8241,x8242)+E(f539(x8241,x8243,x8244),f539(x8242,x8243,x8244)) % 199.49/199.86 [825]~E(x8251,x8252)+E(f539(x8253,x8251,x8254),f539(x8253,x8252,x8254)) % 199.49/199.86 [826]~E(x8261,x8262)+E(f539(x8263,x8264,x8261),f539(x8263,x8264,x8262)) % 199.49/199.86 [827]~E(x8271,x8272)+E(f135(x8271,x8273),f135(x8272,x8273)) % 199.49/199.86 [828]~E(x8281,x8282)+E(f135(x8283,x8281),f135(x8283,x8282)) % 199.49/199.86 [829]~E(x8291,x8292)+E(f205(x8291),f205(x8292)) % 199.49/199.86 [830]~E(x8301,x8302)+E(f434(x8301,x8303,x8304,x8305,x8306),f434(x8302,x8303,x8304,x8305,x8306)) % 199.49/199.86 [831]~E(x8311,x8312)+E(f434(x8313,x8311,x8314,x8315,x8316),f434(x8313,x8312,x8314,x8315,x8316)) % 199.49/199.86 [832]~E(x8321,x8322)+E(f434(x8323,x8324,x8321,x8325,x8326),f434(x8323,x8324,x8322,x8325,x8326)) % 199.49/199.86 [833]~E(x8331,x8332)+E(f434(x8333,x8334,x8335,x8331,x8336),f434(x8333,x8334,x8335,x8332,x8336)) % 199.49/199.86 [834]~E(x8341,x8342)+E(f434(x8343,x8344,x8345,x8346,x8341),f434(x8343,x8344,x8345,x8346,x8342)) % 199.49/199.86 [835]~E(x8351,x8352)+E(f486(x8351,x8353,x8354,x8355,x8356,x8357),f486(x8352,x8353,x8354,x8355,x8356,x8357)) % 199.49/199.86 [836]~E(x8361,x8362)+E(f486(x8363,x8361,x8364,x8365,x8366,x8367),f486(x8363,x8362,x8364,x8365,x8366,x8367)) % 199.49/199.86 [837]~E(x8371,x8372)+E(f486(x8373,x8374,x8371,x8375,x8376,x8377),f486(x8373,x8374,x8372,x8375,x8376,x8377)) % 199.49/199.86 [838]~E(x8381,x8382)+E(f486(x8383,x8384,x8385,x8381,x8386,x8387),f486(x8383,x8384,x8385,x8382,x8386,x8387)) % 199.49/199.86 [839]~E(x8391,x8392)+E(f486(x8393,x8394,x8395,x8396,x8391,x8397),f486(x8393,x8394,x8395,x8396,x8392,x8397)) % 199.49/199.86 [840]~E(x8401,x8402)+E(f486(x8403,x8404,x8405,x8406,x8407,x8401),f486(x8403,x8404,x8405,x8406,x8407,x8402)) % 199.49/199.86 [841]~E(x8411,x8412)+E(f503(x8411,x8413,x8414,x8415,x8416),f503(x8412,x8413,x8414,x8415,x8416)) % 199.49/199.86 [842]~E(x8421,x8422)+E(f503(x8423,x8421,x8424,x8425,x8426),f503(x8423,x8422,x8424,x8425,x8426)) % 199.49/199.86 [843]~E(x8431,x8432)+E(f503(x8433,x8434,x8431,x8435,x8436),f503(x8433,x8434,x8432,x8435,x8436)) % 199.49/199.86 [844]~E(x8441,x8442)+E(f503(x8443,x8444,x8445,x8441,x8446),f503(x8443,x8444,x8445,x8442,x8446)) % 199.49/199.86 [845]~E(x8451,x8452)+E(f503(x8453,x8454,x8455,x8456,x8451),f503(x8453,x8454,x8455,x8456,x8452)) % 199.49/199.86 [846]~E(x8461,x8462)+E(f284(x8461),f284(x8462)) % 199.49/199.86 [847]~E(x8471,x8472)+E(f844(x8471,x8473,x8474,x8475),f844(x8472,x8473,x8474,x8475)) % 199.49/199.86 [848]~E(x8481,x8482)+E(f844(x8483,x8481,x8484,x8485),f844(x8483,x8482,x8484,x8485)) % 199.49/199.86 [849]~E(x8491,x8492)+E(f844(x8493,x8494,x8491,x8495),f844(x8493,x8494,x8492,x8495)) % 199.49/199.86 [850]~E(x8501,x8502)+E(f844(x8503,x8504,x8505,x8501),f844(x8503,x8504,x8505,x8502)) % 199.49/199.86 [851]~E(x8511,x8512)+E(f432(x8511,x8513,x8514,x8515,x8516),f432(x8512,x8513,x8514,x8515,x8516)) % 199.49/199.86 [852]~E(x8521,x8522)+E(f432(x8523,x8521,x8524,x8525,x8526),f432(x8523,x8522,x8524,x8525,x8526)) % 199.49/199.86 [853]~E(x8531,x8532)+E(f432(x8533,x8534,x8531,x8535,x8536),f432(x8533,x8534,x8532,x8535,x8536)) % 199.49/199.86 [854]~E(x8541,x8542)+E(f432(x8543,x8544,x8545,x8541,x8546),f432(x8543,x8544,x8545,x8542,x8546)) % 199.49/199.86 [855]~E(x8551,x8552)+E(f432(x8553,x8554,x8555,x8556,x8551),f432(x8553,x8554,x8555,x8556,x8552)) % 199.49/199.86 [856]~E(x8561,x8562)+E(f253(x8561,x8563,x8564),f253(x8562,x8563,x8564)) % 199.49/199.86 [857]~E(x8571,x8572)+E(f253(x8573,x8571,x8574),f253(x8573,x8572,x8574)) % 199.49/199.86 [858]~E(x8581,x8582)+E(f253(x8583,x8584,x8581),f253(x8583,x8584,x8582)) % 199.49/199.86 [859]~E(x8591,x8592)+E(f413(x8591,x8593,x8594,x8595),f413(x8592,x8593,x8594,x8595)) % 199.49/199.86 [860]~E(x8601,x8602)+E(f413(x8603,x8601,x8604,x8605),f413(x8603,x8602,x8604,x8605)) % 199.49/199.86 [861]~E(x8611,x8612)+E(f413(x8613,x8614,x8611,x8615),f413(x8613,x8614,x8612,x8615)) % 199.49/199.86 [862]~E(x8621,x8622)+E(f413(x8623,x8624,x8625,x8621),f413(x8623,x8624,x8625,x8622)) % 199.49/199.86 [863]~E(x8631,x8632)+E(f573(x8631,x8633,x8634,x8635,x8636,x8637),f573(x8632,x8633,x8634,x8635,x8636,x8637)) % 199.49/199.86 [864]~E(x8641,x8642)+E(f573(x8643,x8641,x8644,x8645,x8646,x8647),f573(x8643,x8642,x8644,x8645,x8646,x8647)) % 199.49/199.86 [865]~E(x8651,x8652)+E(f573(x8653,x8654,x8651,x8655,x8656,x8657),f573(x8653,x8654,x8652,x8655,x8656,x8657)) % 199.49/199.86 [866]~E(x8661,x8662)+E(f573(x8663,x8664,x8665,x8661,x8666,x8667),f573(x8663,x8664,x8665,x8662,x8666,x8667)) % 199.49/199.86 [867]~E(x8671,x8672)+E(f573(x8673,x8674,x8675,x8676,x8671,x8677),f573(x8673,x8674,x8675,x8676,x8672,x8677)) % 199.49/199.86 [868]~E(x8681,x8682)+E(f573(x8683,x8684,x8685,x8686,x8687,x8681),f573(x8683,x8684,x8685,x8686,x8687,x8682)) % 199.49/199.86 [869]~E(x8691,x8692)+E(f119(x8691,x8693,x8694),f119(x8692,x8693,x8694)) % 199.49/199.86 [870]~E(x8701,x8702)+E(f119(x8703,x8701,x8704),f119(x8703,x8702,x8704)) % 199.49/199.86 [871]~E(x8711,x8712)+E(f119(x8713,x8714,x8711),f119(x8713,x8714,x8712)) % 199.49/199.86 [872]~E(x8721,x8722)+E(f258(x8721,x8723,x8724,x8725),f258(x8722,x8723,x8724,x8725)) % 199.49/199.86 [873]~E(x8731,x8732)+E(f258(x8733,x8731,x8734,x8735),f258(x8733,x8732,x8734,x8735)) % 199.49/199.86 [874]~E(x8741,x8742)+E(f258(x8743,x8744,x8741,x8745),f258(x8743,x8744,x8742,x8745)) % 199.49/199.86 [875]~E(x8751,x8752)+E(f258(x8753,x8754,x8755,x8751),f258(x8753,x8754,x8755,x8752)) % 199.49/199.86 [876]~E(x8761,x8762)+E(f515(x8761,x8763,x8764,x8765,x8766,x8767,x8768),f515(x8762,x8763,x8764,x8765,x8766,x8767,x8768)) % 199.49/199.86 [877]~E(x8771,x8772)+E(f515(x8773,x8771,x8774,x8775,x8776,x8777,x8778),f515(x8773,x8772,x8774,x8775,x8776,x8777,x8778)) % 199.49/199.86 [878]~E(x8781,x8782)+E(f515(x8783,x8784,x8781,x8785,x8786,x8787,x8788),f515(x8783,x8784,x8782,x8785,x8786,x8787,x8788)) % 199.49/199.86 [879]~E(x8791,x8792)+E(f515(x8793,x8794,x8795,x8791,x8796,x8797,x8798),f515(x8793,x8794,x8795,x8792,x8796,x8797,x8798)) % 199.49/199.86 [880]~E(x8801,x8802)+E(f515(x8803,x8804,x8805,x8806,x8801,x8807,x8808),f515(x8803,x8804,x8805,x8806,x8802,x8807,x8808)) % 199.49/199.86 [881]~E(x8811,x8812)+E(f515(x8813,x8814,x8815,x8816,x8817,x8811,x8818),f515(x8813,x8814,x8815,x8816,x8817,x8812,x8818)) % 199.49/199.86 [882]~E(x8821,x8822)+E(f515(x8823,x8824,x8825,x8826,x8827,x8828,x8821),f515(x8823,x8824,x8825,x8826,x8827,x8828,x8822)) % 199.49/199.86 [883]~E(x8831,x8832)+E(f904(x8831,x8833,x8834,x8835,x8836),f904(x8832,x8833,x8834,x8835,x8836)) % 199.49/199.86 [884]~E(x8841,x8842)+E(f904(x8843,x8841,x8844,x8845,x8846),f904(x8843,x8842,x8844,x8845,x8846)) % 199.49/199.86 [885]~E(x8851,x8852)+E(f904(x8853,x8854,x8851,x8855,x8856),f904(x8853,x8854,x8852,x8855,x8856)) % 199.49/199.86 [886]~E(x8861,x8862)+E(f904(x8863,x8864,x8865,x8861,x8866),f904(x8863,x8864,x8865,x8862,x8866)) % 199.49/199.86 [887]~E(x8871,x8872)+E(f904(x8873,x8874,x8875,x8876,x8871),f904(x8873,x8874,x8875,x8876,x8872)) % 199.49/199.86 [888]~E(x8881,x8882)+E(f623(x8881,x8883,x8884),f623(x8882,x8883,x8884)) % 199.49/199.86 [889]~E(x8891,x8892)+E(f623(x8893,x8891,x8894),f623(x8893,x8892,x8894)) % 199.49/199.86 [890]~E(x8901,x8902)+E(f623(x8903,x8904,x8901),f623(x8903,x8904,x8902)) % 199.49/199.86 [891]~E(x8911,x8912)+E(f781(x8911,x8913,x8914,x8915),f781(x8912,x8913,x8914,x8915)) % 199.49/199.86 [892]~E(x8921,x8922)+E(f781(x8923,x8921,x8924,x8925),f781(x8923,x8922,x8924,x8925)) % 199.49/199.86 [893]~E(x8931,x8932)+E(f781(x8933,x8934,x8931,x8935),f781(x8933,x8934,x8932,x8935)) % 199.49/199.86 [894]~E(x8941,x8942)+E(f781(x8943,x8944,x8945,x8941),f781(x8943,x8944,x8945,x8942)) % 199.49/199.86 [895]~E(x8951,x8952)+E(f531(x8951,x8953,x8954,x8955),f531(x8952,x8953,x8954,x8955)) % 199.49/199.86 [896]~E(x8961,x8962)+E(f531(x8963,x8961,x8964,x8965),f531(x8963,x8962,x8964,x8965)) % 199.49/199.86 [897]~E(x8971,x8972)+E(f531(x8973,x8974,x8971,x8975),f531(x8973,x8974,x8972,x8975)) % 199.49/199.86 [898]~E(x8981,x8982)+E(f531(x8983,x8984,x8985,x8981),f531(x8983,x8984,x8985,x8982)) % 199.49/199.86 [899]~E(x8991,x8992)+E(f566(x8991,x8993,x8994),f566(x8992,x8993,x8994)) % 199.49/199.86 [900]~E(x9001,x9002)+E(f566(x9003,x9001,x9004),f566(x9003,x9002,x9004)) % 199.49/199.86 [901]~E(x9011,x9012)+E(f566(x9013,x9014,x9011),f566(x9013,x9014,x9012)) % 199.49/199.86 [902]~E(x9021,x9022)+E(f698(x9021,x9023,x9024,x9025,x9026),f698(x9022,x9023,x9024,x9025,x9026)) % 199.49/199.86 [903]~E(x9031,x9032)+E(f698(x9033,x9031,x9034,x9035,x9036),f698(x9033,x9032,x9034,x9035,x9036)) % 199.49/199.86 [904]~E(x9041,x9042)+E(f698(x9043,x9044,x9041,x9045,x9046),f698(x9043,x9044,x9042,x9045,x9046)) % 199.49/199.86 [905]~E(x9051,x9052)+E(f698(x9053,x9054,x9055,x9051,x9056),f698(x9053,x9054,x9055,x9052,x9056)) % 199.49/199.86 [906]~E(x9061,x9062)+E(f698(x9063,x9064,x9065,x9066,x9061),f698(x9063,x9064,x9065,x9066,x9062)) % 199.49/199.86 [907]~E(x9071,x9072)+E(f555(x9071,x9073,x9074,x9075,x9076,x9077),f555(x9072,x9073,x9074,x9075,x9076,x9077)) % 199.49/199.86 [908]~E(x9081,x9082)+E(f555(x9083,x9081,x9084,x9085,x9086,x9087),f555(x9083,x9082,x9084,x9085,x9086,x9087)) % 199.49/199.86 [909]~E(x9091,x9092)+E(f555(x9093,x9094,x9091,x9095,x9096,x9097),f555(x9093,x9094,x9092,x9095,x9096,x9097)) % 199.49/199.86 [910]~E(x9101,x9102)+E(f555(x9103,x9104,x9105,x9101,x9106,x9107),f555(x9103,x9104,x9105,x9102,x9106,x9107)) % 199.49/199.86 [911]~E(x9111,x9112)+E(f555(x9113,x9114,x9115,x9116,x9111,x9117),f555(x9113,x9114,x9115,x9116,x9112,x9117)) % 199.49/199.86 [912]~E(x9121,x9122)+E(f555(x9123,x9124,x9125,x9126,x9127,x9121),f555(x9123,x9124,x9125,x9126,x9127,x9122)) % 199.49/199.86 [913]~E(x9131,x9132)+E(f514(x9131,x9133,x9134,x9135,x9136,x9137,x9138),f514(x9132,x9133,x9134,x9135,x9136,x9137,x9138)) % 199.49/199.86 [914]~E(x9141,x9142)+E(f514(x9143,x9141,x9144,x9145,x9146,x9147,x9148),f514(x9143,x9142,x9144,x9145,x9146,x9147,x9148)) % 199.49/199.86 [915]~E(x9151,x9152)+E(f514(x9153,x9154,x9151,x9155,x9156,x9157,x9158),f514(x9153,x9154,x9152,x9155,x9156,x9157,x9158)) % 199.49/199.86 [916]~E(x9161,x9162)+E(f514(x9163,x9164,x9165,x9161,x9166,x9167,x9168),f514(x9163,x9164,x9165,x9162,x9166,x9167,x9168)) % 199.49/199.86 [917]~E(x9171,x9172)+E(f514(x9173,x9174,x9175,x9176,x9171,x9177,x9178),f514(x9173,x9174,x9175,x9176,x9172,x9177,x9178)) % 199.49/199.86 [918]~E(x9181,x9182)+E(f514(x9183,x9184,x9185,x9186,x9187,x9181,x9188),f514(x9183,x9184,x9185,x9186,x9187,x9182,x9188)) % 199.49/199.86 [919]~E(x9191,x9192)+E(f514(x9193,x9194,x9195,x9196,x9197,x9198,x9191),f514(x9193,x9194,x9195,x9196,x9197,x9198,x9192)) % 199.49/199.86 [920]~E(x9201,x9202)+E(f349(x9201,x9203,x9204,x9205,x9206),f349(x9202,x9203,x9204,x9205,x9206)) % 199.49/199.86 [921]~E(x9211,x9212)+E(f349(x9213,x9211,x9214,x9215,x9216),f349(x9213,x9212,x9214,x9215,x9216)) % 199.49/199.86 [922]~E(x9221,x9222)+E(f349(x9223,x9224,x9221,x9225,x9226),f349(x9223,x9224,x9222,x9225,x9226)) % 199.49/199.86 [923]~E(x9231,x9232)+E(f349(x9233,x9234,x9235,x9231,x9236),f349(x9233,x9234,x9235,x9232,x9236)) % 199.49/199.86 [924]~E(x9241,x9242)+E(f349(x9243,x9244,x9245,x9246,x9241),f349(x9243,x9244,x9245,x9246,x9242)) % 199.49/199.86 [925]~E(x9251,x9252)+E(f708(x9251,x9253,x9254,x9255,x9256),f708(x9252,x9253,x9254,x9255,x9256)) % 199.49/199.86 [926]~E(x9261,x9262)+E(f708(x9263,x9261,x9264,x9265,x9266),f708(x9263,x9262,x9264,x9265,x9266)) % 199.49/199.86 [927]~E(x9271,x9272)+E(f708(x9273,x9274,x9271,x9275,x9276),f708(x9273,x9274,x9272,x9275,x9276)) % 199.49/199.86 [928]~E(x9281,x9282)+E(f708(x9283,x9284,x9285,x9281,x9286),f708(x9283,x9284,x9285,x9282,x9286)) % 199.49/199.86 [929]~E(x9291,x9292)+E(f708(x9293,x9294,x9295,x9296,x9291),f708(x9293,x9294,x9295,x9296,x9292)) % 199.49/199.86 [930]~E(x9301,x9302)+E(f642(x9301,x9303,x9304,x9305,x9306),f642(x9302,x9303,x9304,x9305,x9306)) % 199.49/199.86 [931]~E(x9311,x9312)+E(f642(x9313,x9311,x9314,x9315,x9316),f642(x9313,x9312,x9314,x9315,x9316)) % 199.49/199.86 [932]~E(x9321,x9322)+E(f642(x9323,x9324,x9321,x9325,x9326),f642(x9323,x9324,x9322,x9325,x9326)) % 199.49/199.86 [933]~E(x9331,x9332)+E(f642(x9333,x9334,x9335,x9331,x9336),f642(x9333,x9334,x9335,x9332,x9336)) % 199.49/199.86 [934]~E(x9341,x9342)+E(f642(x9343,x9344,x9345,x9346,x9341),f642(x9343,x9344,x9345,x9346,x9342)) % 199.49/199.86 [935]~E(x9351,x9352)+E(f399(x9351,x9353),f399(x9352,x9353)) % 199.49/199.86 [936]~E(x9361,x9362)+E(f399(x9363,x9361),f399(x9363,x9362)) % 199.49/199.86 [937]~E(x9371,x9372)+E(f667(x9371,x9373,x9374),f667(x9372,x9373,x9374)) % 199.49/199.86 [938]~E(x9381,x9382)+E(f667(x9383,x9381,x9384),f667(x9383,x9382,x9384)) % 199.49/199.86 [939]~E(x9391,x9392)+E(f667(x9393,x9394,x9391),f667(x9393,x9394,x9392)) % 199.49/199.86 [940]~E(x9401,x9402)+E(f571(x9401,x9403,x9404),f571(x9402,x9403,x9404)) % 199.49/199.86 [941]~E(x9411,x9412)+E(f571(x9413,x9411,x9414),f571(x9413,x9412,x9414)) % 199.49/199.86 [942]~E(x9421,x9422)+E(f571(x9423,x9424,x9421),f571(x9423,x9424,x9422)) % 199.49/199.86 [943]~E(x9431,x9432)+E(f891(x9431,x9433,x9434,x9435,x9436,x9437,x9438),f891(x9432,x9433,x9434,x9435,x9436,x9437,x9438)) % 199.49/199.86 [944]~E(x9441,x9442)+E(f891(x9443,x9441,x9444,x9445,x9446,x9447,x9448),f891(x9443,x9442,x9444,x9445,x9446,x9447,x9448)) % 199.49/199.86 [945]~E(x9451,x9452)+E(f891(x9453,x9454,x9451,x9455,x9456,x9457,x9458),f891(x9453,x9454,x9452,x9455,x9456,x9457,x9458)) % 199.49/199.86 [946]~E(x9461,x9462)+E(f891(x9463,x9464,x9465,x9461,x9466,x9467,x9468),f891(x9463,x9464,x9465,x9462,x9466,x9467,x9468)) % 199.49/199.86 [947]~E(x9471,x9472)+E(f891(x9473,x9474,x9475,x9476,x9471,x9477,x9478),f891(x9473,x9474,x9475,x9476,x9472,x9477,x9478)) % 199.49/199.86 [948]~E(x9481,x9482)+E(f891(x9483,x9484,x9485,x9486,x9487,x9481,x9488),f891(x9483,x9484,x9485,x9486,x9487,x9482,x9488)) % 199.49/199.86 [949]~E(x9491,x9492)+E(f891(x9493,x9494,x9495,x9496,x9497,x9498,x9491),f891(x9493,x9494,x9495,x9496,x9497,x9498,x9492)) % 199.49/199.86 [950]~E(x9501,x9502)+E(f675(x9501,x9503,x9504,x9505),f675(x9502,x9503,x9504,x9505)) % 199.49/199.86 [951]~E(x9511,x9512)+E(f675(x9513,x9511,x9514,x9515),f675(x9513,x9512,x9514,x9515)) % 199.49/199.86 [952]~E(x9521,x9522)+E(f675(x9523,x9524,x9521,x9525),f675(x9523,x9524,x9522,x9525)) % 199.49/199.86 [953]~E(x9531,x9532)+E(f675(x9533,x9534,x9535,x9531),f675(x9533,x9534,x9535,x9532)) % 199.49/199.86 [954]~E(x9541,x9542)+E(f474(x9541,x9543,x9544,x9545),f474(x9542,x9543,x9544,x9545)) % 199.49/199.86 [955]~E(x9551,x9552)+E(f474(x9553,x9551,x9554,x9555),f474(x9553,x9552,x9554,x9555)) % 199.49/199.86 [956]~E(x9561,x9562)+E(f474(x9563,x9564,x9561,x9565),f474(x9563,x9564,x9562,x9565)) % 199.49/199.86 [957]~E(x9571,x9572)+E(f474(x9573,x9574,x9575,x9571),f474(x9573,x9574,x9575,x9572)) % 199.49/199.86 [958]~E(x9581,x9582)+E(f834(x9581,x9583),f834(x9582,x9583)) % 199.49/199.86 [959]~E(x9591,x9592)+E(f834(x9593,x9591),f834(x9593,x9592)) % 199.49/199.86 [960]~E(x9601,x9602)+E(f463(x9601,x9603,x9604),f463(x9602,x9603,x9604)) % 199.49/199.86 [961]~E(x9611,x9612)+E(f463(x9613,x9611,x9614),f463(x9613,x9612,x9614)) % 199.49/199.86 [962]~E(x9621,x9622)+E(f463(x9623,x9624,x9621),f463(x9623,x9624,x9622)) % 199.49/199.86 [963]~E(x9631,x9632)+E(f279(x9631,x9633,x9634,x9635),f279(x9632,x9633,x9634,x9635)) % 199.49/199.86 [964]~E(x9641,x9642)+E(f279(x9643,x9641,x9644,x9645),f279(x9643,x9642,x9644,x9645)) % 199.49/199.86 [965]~E(x9651,x9652)+E(f279(x9653,x9654,x9651,x9655),f279(x9653,x9654,x9652,x9655)) % 199.49/199.86 [966]~E(x9661,x9662)+E(f279(x9663,x9664,x9665,x9661),f279(x9663,x9664,x9665,x9662)) % 199.49/199.86 [967]~E(x9671,x9672)+E(f195(x9671,x9673),f195(x9672,x9673)) % 199.49/199.86 [968]~E(x9681,x9682)+E(f195(x9683,x9681),f195(x9683,x9682)) % 199.49/199.86 [969]~E(x9691,x9692)+E(f79(x9691,x9693,x9694,x9695),f79(x9692,x9693,x9694,x9695)) % 199.49/199.86 [970]~E(x9701,x9702)+E(f79(x9703,x9701,x9704,x9705),f79(x9703,x9702,x9704,x9705)) % 199.49/199.86 [971]~E(x9711,x9712)+E(f79(x9713,x9714,x9711,x9715),f79(x9713,x9714,x9712,x9715)) % 199.49/199.86 [972]~E(x9721,x9722)+E(f79(x9723,x9724,x9725,x9721),f79(x9723,x9724,x9725,x9722)) % 199.49/199.86 [973]~E(x9731,x9732)+E(f124(x9731,x9733),f124(x9732,x9733)) % 199.49/199.86 [974]~E(x9741,x9742)+E(f124(x9743,x9741),f124(x9743,x9742)) % 199.49/199.86 [975]~E(x9751,x9752)+E(f578(x9751,x9753),f578(x9752,x9753)) % 199.49/199.86 [976]~E(x9761,x9762)+E(f578(x9763,x9761),f578(x9763,x9762)) % 199.49/199.86 [977]~E(x9771,x9772)+E(f148(x9771,x9773),f148(x9772,x9773)) % 199.49/199.86 [978]~E(x9781,x9782)+E(f148(x9783,x9781),f148(x9783,x9782)) % 199.49/199.86 [979]~E(x9791,x9792)+E(f692(x9791,x9793,x9794,x9795,x9796),f692(x9792,x9793,x9794,x9795,x9796)) % 199.49/199.86 [980]~E(x9801,x9802)+E(f692(x9803,x9801,x9804,x9805,x9806),f692(x9803,x9802,x9804,x9805,x9806)) % 199.49/199.86 [981]~E(x9811,x9812)+E(f692(x9813,x9814,x9811,x9815,x9816),f692(x9813,x9814,x9812,x9815,x9816)) % 199.49/199.86 [982]~E(x9821,x9822)+E(f692(x9823,x9824,x9825,x9821,x9826),f692(x9823,x9824,x9825,x9822,x9826)) % 199.49/199.86 [983]~E(x9831,x9832)+E(f692(x9833,x9834,x9835,x9836,x9831),f692(x9833,x9834,x9835,x9836,x9832)) % 199.49/199.86 [984]~E(x9841,x9842)+E(f725(x9841,x9843,x9844),f725(x9842,x9843,x9844)) % 199.49/199.86 [985]~E(x9851,x9852)+E(f725(x9853,x9851,x9854),f725(x9853,x9852,x9854)) % 199.49/199.86 [986]~E(x9861,x9862)+E(f725(x9863,x9864,x9861),f725(x9863,x9864,x9862)) % 199.49/199.86 [987]~E(x9871,x9872)+E(f662(x9871,x9873,x9874,x9875),f662(x9872,x9873,x9874,x9875)) % 199.49/199.86 [988]~E(x9881,x9882)+E(f662(x9883,x9881,x9884,x9885),f662(x9883,x9882,x9884,x9885)) % 199.49/199.86 [989]~E(x9891,x9892)+E(f662(x9893,x9894,x9891,x9895),f662(x9893,x9894,x9892,x9895)) % 199.49/199.86 [990]~E(x9901,x9902)+E(f662(x9903,x9904,x9905,x9901),f662(x9903,x9904,x9905,x9902)) % 199.49/199.86 [991]~E(x9911,x9912)+E(f234(x9911,x9913,x9914),f234(x9912,x9913,x9914)) % 199.49/199.86 [992]~E(x9921,x9922)+E(f234(x9923,x9921,x9924),f234(x9923,x9922,x9924)) % 199.49/199.86 [993]~E(x9931,x9932)+E(f234(x9933,x9934,x9931),f234(x9933,x9934,x9932)) % 199.49/199.86 [994]~E(x9941,x9942)+E(f30(x9941,x9943),f30(x9942,x9943)) % 199.49/199.86 [995]~E(x9951,x9952)+E(f30(x9953,x9951),f30(x9953,x9952)) % 199.49/199.86 [996]~E(x9961,x9962)+E(f381(x9961,x9963,x9964),f381(x9962,x9963,x9964)) % 199.49/199.86 [997]~E(x9971,x9972)+E(f381(x9973,x9971,x9974),f381(x9973,x9972,x9974)) % 199.49/199.86 [998]~E(x9981,x9982)+E(f381(x9983,x9984,x9981),f381(x9983,x9984,x9982)) % 199.49/199.86 [999]~E(x9991,x9992)+E(f882(x9991,x9993,x9994),f882(x9992,x9993,x9994)) % 199.49/199.86 [1000]~E(x10001,x10002)+E(f882(x10003,x10001,x10004),f882(x10003,x10002,x10004)) % 199.49/199.86 [1001]~E(x10011,x10012)+E(f882(x10013,x10014,x10011),f882(x10013,x10014,x10012)) % 199.49/199.86 [1002]~E(x10021,x10022)+E(f690(x10021,x10023,x10024,x10025,x10026),f690(x10022,x10023,x10024,x10025,x10026)) % 199.49/199.86 [1003]~E(x10031,x10032)+E(f690(x10033,x10031,x10034,x10035,x10036),f690(x10033,x10032,x10034,x10035,x10036)) % 199.49/199.86 [1004]~E(x10041,x10042)+E(f690(x10043,x10044,x10041,x10045,x10046),f690(x10043,x10044,x10042,x10045,x10046)) % 199.49/199.86 [1005]~E(x10051,x10052)+E(f690(x10053,x10054,x10055,x10051,x10056),f690(x10053,x10054,x10055,x10052,x10056)) % 199.49/199.86 [1006]~E(x10061,x10062)+E(f690(x10063,x10064,x10065,x10066,x10061),f690(x10063,x10064,x10065,x10066,x10062)) % 199.49/199.86 [1007]~E(x10071,x10072)+E(f188(x10071,x10073,x10074,x10075),f188(x10072,x10073,x10074,x10075)) % 199.49/199.86 [1008]~E(x10081,x10082)+E(f188(x10083,x10081,x10084,x10085),f188(x10083,x10082,x10084,x10085)) % 199.49/199.86 [1009]~E(x10091,x10092)+E(f188(x10093,x10094,x10091,x10095),f188(x10093,x10094,x10092,x10095)) % 199.49/199.86 [1010]~E(x10101,x10102)+E(f188(x10103,x10104,x10105,x10101),f188(x10103,x10104,x10105,x10102)) % 199.49/199.86 [1011]~E(x10111,x10112)+E(f611(x10111,x10113,x10114,x10115),f611(x10112,x10113,x10114,x10115)) % 199.49/199.86 [1012]~E(x10121,x10122)+E(f611(x10123,x10121,x10124,x10125),f611(x10123,x10122,x10124,x10125)) % 199.49/199.86 [1013]~E(x10131,x10132)+E(f611(x10133,x10134,x10131,x10135),f611(x10133,x10134,x10132,x10135)) % 199.49/199.86 [1014]~E(x10141,x10142)+E(f611(x10143,x10144,x10145,x10141),f611(x10143,x10144,x10145,x10142)) % 199.49/199.86 [1015]~E(x10151,x10152)+E(f815(x10151,x10153),f815(x10152,x10153)) % 199.49/199.86 [1016]~E(x10161,x10162)+E(f815(x10163,x10161),f815(x10163,x10162)) % 199.49/199.86 [1017]~E(x10171,x10172)+E(f889(x10171,x10173,x10174,x10175,x10176,x10177,x10178),f889(x10172,x10173,x10174,x10175,x10176,x10177,x10178)) % 199.49/199.86 [1018]~E(x10181,x10182)+E(f889(x10183,x10181,x10184,x10185,x10186,x10187,x10188),f889(x10183,x10182,x10184,x10185,x10186,x10187,x10188)) % 199.49/199.86 [1019]~E(x10191,x10192)+E(f889(x10193,x10194,x10191,x10195,x10196,x10197,x10198),f889(x10193,x10194,x10192,x10195,x10196,x10197,x10198)) % 199.49/199.86 [1020]~E(x10201,x10202)+E(f889(x10203,x10204,x10205,x10201,x10206,x10207,x10208),f889(x10203,x10204,x10205,x10202,x10206,x10207,x10208)) % 199.49/199.86 [1021]~E(x10211,x10212)+E(f889(x10213,x10214,x10215,x10216,x10211,x10217,x10218),f889(x10213,x10214,x10215,x10216,x10212,x10217,x10218)) % 199.49/199.86 [1022]~E(x10221,x10222)+E(f889(x10223,x10224,x10225,x10226,x10227,x10221,x10228),f889(x10223,x10224,x10225,x10226,x10227,x10222,x10228)) % 199.49/199.86 [1023]~E(x10231,x10232)+E(f889(x10233,x10234,x10235,x10236,x10237,x10238,x10231),f889(x10233,x10234,x10235,x10236,x10237,x10238,x10232)) % 199.49/199.86 [1024]~E(x10241,x10242)+E(f729(x10241,x10243,x10244),f729(x10242,x10243,x10244)) % 199.49/199.86 [1025]~E(x10251,x10252)+E(f729(x10253,x10251,x10254),f729(x10253,x10252,x10254)) % 199.49/199.86 [1026]~E(x10261,x10262)+E(f729(x10263,x10264,x10261),f729(x10263,x10264,x10262)) % 199.49/199.86 [1027]~E(x10271,x10272)+E(f562(x10271,x10273,x10274,x10275,x10276,x10277,x10278,x10279,x102710),f562(x10272,x10273,x10274,x10275,x10276,x10277,x10278,x10279,x102710)) % 199.49/199.86 [1028]~E(x10281,x10282)+E(f562(x10283,x10281,x10284,x10285,x10286,x10287,x10288,x10289,x102810),f562(x10283,x10282,x10284,x10285,x10286,x10287,x10288,x10289,x102810)) % 199.49/199.86 [1029]~E(x10291,x10292)+E(f562(x10293,x10294,x10291,x10295,x10296,x10297,x10298,x10299,x102910),f562(x10293,x10294,x10292,x10295,x10296,x10297,x10298,x10299,x102910)) % 199.49/199.86 [1030]~E(x10301,x10302)+E(f562(x10303,x10304,x10305,x10301,x10306,x10307,x10308,x10309,x103010),f562(x10303,x10304,x10305,x10302,x10306,x10307,x10308,x10309,x103010)) % 199.49/199.86 [1031]~E(x10311,x10312)+E(f562(x10313,x10314,x10315,x10316,x10311,x10317,x10318,x10319,x103110),f562(x10313,x10314,x10315,x10316,x10312,x10317,x10318,x10319,x103110)) % 199.49/199.86 [1032]~E(x10321,x10322)+E(f562(x10323,x10324,x10325,x10326,x10327,x10321,x10328,x10329,x103210),f562(x10323,x10324,x10325,x10326,x10327,x10322,x10328,x10329,x103210)) % 199.49/199.86 [1033]~E(x10331,x10332)+E(f562(x10333,x10334,x10335,x10336,x10337,x10338,x10331,x10339,x103310),f562(x10333,x10334,x10335,x10336,x10337,x10338,x10332,x10339,x103310)) % 199.49/199.86 [1034]~E(x10341,x10342)+E(f562(x10343,x10344,x10345,x10346,x10347,x10348,x10349,x10341,x103410),f562(x10343,x10344,x10345,x10346,x10347,x10348,x10349,x10342,x103410)) % 199.49/199.86 [1035]~E(x10351,x10352)+E(f562(x10353,x10354,x10355,x10356,x10357,x10358,x10359,x103510,x10351),f562(x10353,x10354,x10355,x10356,x10357,x10358,x10359,x103510,x10352)) % 199.49/199.86 [1036]~E(x10361,x10362)+E(f856(x10361,x10363,x10364,x10365,x10366,x10367,x10368,x10369),f856(x10362,x10363,x10364,x10365,x10366,x10367,x10368,x10369)) % 199.49/199.86 [1037]~E(x10371,x10372)+E(f856(x10373,x10371,x10374,x10375,x10376,x10377,x10378,x10379),f856(x10373,x10372,x10374,x10375,x10376,x10377,x10378,x10379)) % 199.49/199.86 [1038]~E(x10381,x10382)+E(f856(x10383,x10384,x10381,x10385,x10386,x10387,x10388,x10389),f856(x10383,x10384,x10382,x10385,x10386,x10387,x10388,x10389)) % 199.49/199.86 [1039]~E(x10391,x10392)+E(f856(x10393,x10394,x10395,x10391,x10396,x10397,x10398,x10399),f856(x10393,x10394,x10395,x10392,x10396,x10397,x10398,x10399)) % 199.49/199.86 [1040]~E(x10401,x10402)+E(f856(x10403,x10404,x10405,x10406,x10401,x10407,x10408,x10409),f856(x10403,x10404,x10405,x10406,x10402,x10407,x10408,x10409)) % 199.49/199.86 [1041]~E(x10411,x10412)+E(f856(x10413,x10414,x10415,x10416,x10417,x10411,x10418,x10419),f856(x10413,x10414,x10415,x10416,x10417,x10412,x10418,x10419)) % 199.49/199.86 [1042]~E(x10421,x10422)+E(f856(x10423,x10424,x10425,x10426,x10427,x10428,x10421,x10429),f856(x10423,x10424,x10425,x10426,x10427,x10428,x10422,x10429)) % 199.49/199.86 [1043]~E(x10431,x10432)+E(f856(x10433,x10434,x10435,x10436,x10437,x10438,x10439,x10431),f856(x10433,x10434,x10435,x10436,x10437,x10438,x10439,x10432)) % 199.49/199.86 [1044]~E(x10441,x10442)+E(f47(x10441,x10443),f47(x10442,x10443)) % 199.49/199.86 [1045]~E(x10451,x10452)+E(f47(x10453,x10451),f47(x10453,x10452)) % 199.49/199.86 [1046]~E(x10461,x10462)+E(f802(x10461,x10463),f802(x10462,x10463)) % 199.49/199.86 [1047]~E(x10471,x10472)+E(f802(x10473,x10471),f802(x10473,x10472)) % 199.49/199.86 [1048]~E(x10481,x10482)+E(f315(x10481,x10483),f315(x10482,x10483)) % 199.49/199.86 [1049]~E(x10491,x10492)+E(f315(x10493,x10491),f315(x10493,x10492)) % 199.49/199.86 [1050]~E(x10501,x10502)+E(f788(x10501,x10503,x10504,x10505),f788(x10502,x10503,x10504,x10505)) % 199.49/199.86 [1051]~E(x10511,x10512)+E(f788(x10513,x10511,x10514,x10515),f788(x10513,x10512,x10514,x10515)) % 199.49/199.86 [1052]~E(x10521,x10522)+E(f788(x10523,x10524,x10521,x10525),f788(x10523,x10524,x10522,x10525)) % 199.49/199.86 [1053]~E(x10531,x10532)+E(f788(x10533,x10534,x10535,x10531),f788(x10533,x10534,x10535,x10532)) % 199.49/199.86 [1054]~E(x10541,x10542)+E(f418(x10541,x10543,x10544,x10545,x10546),f418(x10542,x10543,x10544,x10545,x10546)) % 199.49/199.86 [1055]~E(x10551,x10552)+E(f418(x10553,x10551,x10554,x10555,x10556),f418(x10553,x10552,x10554,x10555,x10556)) % 199.49/199.86 [1056]~E(x10561,x10562)+E(f418(x10563,x10564,x10561,x10565,x10566),f418(x10563,x10564,x10562,x10565,x10566)) % 199.49/199.86 [1057]~E(x10571,x10572)+E(f418(x10573,x10574,x10575,x10571,x10576),f418(x10573,x10574,x10575,x10572,x10576)) % 199.49/199.86 [1058]~E(x10581,x10582)+E(f418(x10583,x10584,x10585,x10586,x10581),f418(x10583,x10584,x10585,x10586,x10582)) % 199.49/199.86 [1059]~E(x10591,x10592)+E(f446(x10591,x10593),f446(x10592,x10593)) % 199.49/199.86 [1060]~E(x10601,x10602)+E(f446(x10603,x10601),f446(x10603,x10602)) % 199.49/199.86 [1061]~E(x10611,x10612)+E(f754(x10611,x10613,x10614,x10615,x10616),f754(x10612,x10613,x10614,x10615,x10616)) % 199.49/199.86 [1062]~E(x10621,x10622)+E(f754(x10623,x10621,x10624,x10625,x10626),f754(x10623,x10622,x10624,x10625,x10626)) % 199.49/199.86 [1063]~E(x10631,x10632)+E(f754(x10633,x10634,x10631,x10635,x10636),f754(x10633,x10634,x10632,x10635,x10636)) % 199.49/199.86 [1064]~E(x10641,x10642)+E(f754(x10643,x10644,x10645,x10641,x10646),f754(x10643,x10644,x10645,x10642,x10646)) % 199.49/199.86 [1065]~E(x10651,x10652)+E(f754(x10653,x10654,x10655,x10656,x10651),f754(x10653,x10654,x10655,x10656,x10652)) % 199.49/199.86 [1066]~E(x10661,x10662)+E(f209(x10661),f209(x10662)) % 199.49/199.86 [1067]~E(x10671,x10672)+E(f697(x10671,x10673,x10674,x10675),f697(x10672,x10673,x10674,x10675)) % 199.49/199.86 [1068]~E(x10681,x10682)+E(f697(x10683,x10681,x10684,x10685),f697(x10683,x10682,x10684,x10685)) % 199.49/199.86 [1069]~E(x10691,x10692)+E(f697(x10693,x10694,x10691,x10695),f697(x10693,x10694,x10692,x10695)) % 199.49/199.86 [1070]~E(x10701,x10702)+E(f697(x10703,x10704,x10705,x10701),f697(x10703,x10704,x10705,x10702)) % 199.49/199.86 [1071]~E(x10711,x10712)+E(f599(x10711,x10713,x10714),f599(x10712,x10713,x10714)) % 199.49/199.86 [1072]~E(x10721,x10722)+E(f599(x10723,x10721,x10724),f599(x10723,x10722,x10724)) % 199.49/199.86 [1073]~E(x10731,x10732)+E(f599(x10733,x10734,x10731),f599(x10733,x10734,x10732)) % 199.49/199.86 [1074]~E(x10741,x10742)+E(f376(x10741,x10743,x10744),f376(x10742,x10743,x10744)) % 199.49/199.86 [1075]~E(x10751,x10752)+E(f376(x10753,x10751,x10754),f376(x10753,x10752,x10754)) % 199.49/199.86 [1076]~E(x10761,x10762)+E(f376(x10763,x10764,x10761),f376(x10763,x10764,x10762)) % 199.49/199.86 [1077]~E(x10771,x10772)+E(f760(x10771,x10773),f760(x10772,x10773)) % 199.49/199.86 [1078]~E(x10781,x10782)+E(f760(x10783,x10781),f760(x10783,x10782)) % 199.49/199.86 [1079]~E(x10791,x10792)+E(f910(x10791),f910(x10792)) % 199.49/199.86 [1080]~E(x10801,x10802)+E(f388(x10801,x10803,x10804),f388(x10802,x10803,x10804)) % 199.49/199.86 [1081]~E(x10811,x10812)+E(f388(x10813,x10811,x10814),f388(x10813,x10812,x10814)) % 199.49/199.86 [1082]~E(x10821,x10822)+E(f388(x10823,x10824,x10821),f388(x10823,x10824,x10822)) % 199.49/199.86 [1083]~E(x10831,x10832)+E(f44(x10831),f44(x10832)) % 199.49/199.86 [1084]~E(x10841,x10842)+E(f425(x10841,x10843,x10844),f425(x10842,x10843,x10844)) % 199.49/199.86 [1085]~E(x10851,x10852)+E(f425(x10853,x10851,x10854),f425(x10853,x10852,x10854)) % 199.49/199.86 [1086]~E(x10861,x10862)+E(f425(x10863,x10864,x10861),f425(x10863,x10864,x10862)) % 199.49/199.86 [1087]~E(x10871,x10872)+E(f56(x10871,x10873,x10874),f56(x10872,x10873,x10874)) % 199.49/199.86 [1088]~E(x10881,x10882)+E(f56(x10883,x10881,x10884),f56(x10883,x10882,x10884)) % 199.49/199.86 [1089]~E(x10891,x10892)+E(f56(x10893,x10894,x10891),f56(x10893,x10894,x10892)) % 199.49/199.86 [1090]~E(x10901,x10902)+E(f402(x10901,x10903,x10904),f402(x10902,x10903,x10904)) % 199.49/199.86 [1091]~E(x10911,x10912)+E(f402(x10913,x10911,x10914),f402(x10913,x10912,x10914)) % 199.49/199.86 [1092]~E(x10921,x10922)+E(f402(x10923,x10924,x10921),f402(x10923,x10924,x10922)) % 199.49/199.86 [1093]~E(x10931,x10932)+E(f795(x10931,x10933,x10934),f795(x10932,x10933,x10934)) % 199.49/199.86 [1094]~E(x10941,x10942)+E(f795(x10943,x10941,x10944),f795(x10943,x10942,x10944)) % 199.49/199.86 [1095]~E(x10951,x10952)+E(f795(x10953,x10954,x10951),f795(x10953,x10954,x10952)) % 199.49/199.86 [1096]~E(x10961,x10962)+E(f558(x10961,x10963,x10964),f558(x10962,x10963,x10964)) % 199.49/199.86 [1097]~E(x10971,x10972)+E(f558(x10973,x10971,x10974),f558(x10973,x10972,x10974)) % 199.49/199.86 [1098]~E(x10981,x10982)+E(f558(x10983,x10984,x10981),f558(x10983,x10984,x10982)) % 199.49/199.86 [1099]~E(x10991,x10992)+E(f779(x10991,x10993,x10994),f779(x10992,x10993,x10994)) % 199.49/199.86 [1100]~E(x11001,x11002)+E(f779(x11003,x11001,x11004),f779(x11003,x11002,x11004)) % 199.49/199.86 [1101]~E(x11011,x11012)+E(f779(x11013,x11014,x11011),f779(x11013,x11014,x11012)) % 199.49/199.86 [1102]~E(x11021,x11022)+E(f179(x11021,x11023,x11024),f179(x11022,x11023,x11024)) % 199.49/199.86 [1103]~E(x11031,x11032)+E(f179(x11033,x11031,x11034),f179(x11033,x11032,x11034)) % 199.49/199.86 [1104]~E(x11041,x11042)+E(f179(x11043,x11044,x11041),f179(x11043,x11044,x11042)) % 199.49/199.86 [1105]~E(x11051,x11052)+E(f533(x11051,x11053,x11054),f533(x11052,x11053,x11054)) % 199.49/199.86 [1106]~E(x11061,x11062)+E(f533(x11063,x11061,x11064),f533(x11063,x11062,x11064)) % 199.49/199.86 [1107]~E(x11071,x11072)+E(f533(x11073,x11074,x11071),f533(x11073,x11074,x11072)) % 199.49/199.86 [1108]~E(x11081,x11082)+E(f823(x11081,x11083),f823(x11082,x11083)) % 199.49/199.86 [1109]~E(x11091,x11092)+E(f823(x11093,x11091),f823(x11093,x11092)) % 199.49/199.86 [1110]~E(x11101,x11102)+E(f451(x11101,x11103,x11104),f451(x11102,x11103,x11104)) % 199.49/199.86 [1111]~E(x11111,x11112)+E(f451(x11113,x11111,x11114),f451(x11113,x11112,x11114)) % 199.49/199.86 [1112]~E(x11121,x11122)+E(f451(x11123,x11124,x11121),f451(x11123,x11124,x11122)) % 199.49/199.86 [1113]~E(x11131,x11132)+E(f610(x11131,x11133),f610(x11132,x11133)) % 199.49/199.86 [1114]~E(x11141,x11142)+E(f610(x11143,x11141),f610(x11143,x11142)) % 199.49/199.86 [1115]~E(x11151,x11152)+E(f256(x11151,x11153,x11154,x11155,x11156),f256(x11152,x11153,x11154,x11155,x11156)) % 199.49/199.86 [1116]~E(x11161,x11162)+E(f256(x11163,x11161,x11164,x11165,x11166),f256(x11163,x11162,x11164,x11165,x11166)) % 199.49/199.86 [1117]~E(x11171,x11172)+E(f256(x11173,x11174,x11171,x11175,x11176),f256(x11173,x11174,x11172,x11175,x11176)) % 199.49/199.86 [1118]~E(x11181,x11182)+E(f256(x11183,x11184,x11185,x11181,x11186),f256(x11183,x11184,x11185,x11182,x11186)) % 199.49/199.86 [1119]~E(x11191,x11192)+E(f256(x11193,x11194,x11195,x11196,x11191),f256(x11193,x11194,x11195,x11196,x11192)) % 199.49/199.86 [1120]~E(x11201,x11202)+E(f850(x11201,x11203,x11204,x11205,x11206,x11207,x11208,x11209),f850(x11202,x11203,x11204,x11205,x11206,x11207,x11208,x11209)) % 199.49/199.86 [1121]~E(x11211,x11212)+E(f850(x11213,x11211,x11214,x11215,x11216,x11217,x11218,x11219),f850(x11213,x11212,x11214,x11215,x11216,x11217,x11218,x11219)) % 199.49/199.86 [1122]~E(x11221,x11222)+E(f850(x11223,x11224,x11221,x11225,x11226,x11227,x11228,x11229),f850(x11223,x11224,x11222,x11225,x11226,x11227,x11228,x11229)) % 199.49/199.86 [1123]~E(x11231,x11232)+E(f850(x11233,x11234,x11235,x11231,x11236,x11237,x11238,x11239),f850(x11233,x11234,x11235,x11232,x11236,x11237,x11238,x11239)) % 199.49/199.86 [1124]~E(x11241,x11242)+E(f850(x11243,x11244,x11245,x11246,x11241,x11247,x11248,x11249),f850(x11243,x11244,x11245,x11246,x11242,x11247,x11248,x11249)) % 199.49/199.86 [1125]~E(x11251,x11252)+E(f850(x11253,x11254,x11255,x11256,x11257,x11251,x11258,x11259),f850(x11253,x11254,x11255,x11256,x11257,x11252,x11258,x11259)) % 199.49/199.86 [1126]~E(x11261,x11262)+E(f850(x11263,x11264,x11265,x11266,x11267,x11268,x11261,x11269),f850(x11263,x11264,x11265,x11266,x11267,x11268,x11262,x11269)) % 199.49/199.86 [1127]~E(x11271,x11272)+E(f850(x11273,x11274,x11275,x11276,x11277,x11278,x11279,x11271),f850(x11273,x11274,x11275,x11276,x11277,x11278,x11279,x11272)) % 199.49/199.86 [1128]~E(x11281,x11282)+E(f523(x11281,x11283,x11284,x11285,x11286,x11287,x11288,x11289),f523(x11282,x11283,x11284,x11285,x11286,x11287,x11288,x11289)) % 199.49/199.86 [1129]~E(x11291,x11292)+E(f523(x11293,x11291,x11294,x11295,x11296,x11297,x11298,x11299),f523(x11293,x11292,x11294,x11295,x11296,x11297,x11298,x11299)) % 199.49/199.86 [1130]~E(x11301,x11302)+E(f523(x11303,x11304,x11301,x11305,x11306,x11307,x11308,x11309),f523(x11303,x11304,x11302,x11305,x11306,x11307,x11308,x11309)) % 199.49/199.86 [1131]~E(x11311,x11312)+E(f523(x11313,x11314,x11315,x11311,x11316,x11317,x11318,x11319),f523(x11313,x11314,x11315,x11312,x11316,x11317,x11318,x11319)) % 199.49/199.86 [1132]~E(x11321,x11322)+E(f523(x11323,x11324,x11325,x11326,x11321,x11327,x11328,x11329),f523(x11323,x11324,x11325,x11326,x11322,x11327,x11328,x11329)) % 199.49/199.86 [1133]~E(x11331,x11332)+E(f523(x11333,x11334,x11335,x11336,x11337,x11331,x11338,x11339),f523(x11333,x11334,x11335,x11336,x11337,x11332,x11338,x11339)) % 199.49/199.86 [1134]~E(x11341,x11342)+E(f523(x11343,x11344,x11345,x11346,x11347,x11348,x11341,x11349),f523(x11343,x11344,x11345,x11346,x11347,x11348,x11342,x11349)) % 199.49/199.86 [1135]~E(x11351,x11352)+E(f523(x11353,x11354,x11355,x11356,x11357,x11358,x11359,x11351),f523(x11353,x11354,x11355,x11356,x11357,x11358,x11359,x11352)) % 199.49/199.86 [1136]~E(x11361,x11362)+E(f19(x11361,x11363,x11364,x11365),f19(x11362,x11363,x11364,x11365)) % 199.49/199.86 [1137]~E(x11371,x11372)+E(f19(x11373,x11371,x11374,x11375),f19(x11373,x11372,x11374,x11375)) % 199.49/199.86 [1138]~E(x11381,x11382)+E(f19(x11383,x11384,x11381,x11385),f19(x11383,x11384,x11382,x11385)) % 199.49/199.86 [1139]~E(x11391,x11392)+E(f19(x11393,x11394,x11395,x11391),f19(x11393,x11394,x11395,x11392)) % 199.49/199.86 [1140]~E(x11401,x11402)+E(f219(x11401,x11403),f219(x11402,x11403)) % 199.49/199.86 [1141]~E(x11411,x11412)+E(f219(x11413,x11411),f219(x11413,x11412)) % 199.49/199.86 [1142]~E(x11421,x11422)+E(f778(x11421,x11423,x11424),f778(x11422,x11423,x11424)) % 199.49/199.86 [1143]~E(x11431,x11432)+E(f778(x11433,x11431,x11434),f778(x11433,x11432,x11434)) % 199.49/199.86 [1144]~E(x11441,x11442)+E(f778(x11443,x11444,x11441),f778(x11443,x11444,x11442)) % 199.49/199.86 [1145]~E(x11451,x11452)+E(f183(x11451),f183(x11452)) % 199.49/199.86 [1146]~E(x11461,x11462)+E(f908(x11461,x11463,x11464,x11465),f908(x11462,x11463,x11464,x11465)) % 199.49/199.86 [1147]~E(x11471,x11472)+E(f908(x11473,x11471,x11474,x11475),f908(x11473,x11472,x11474,x11475)) % 199.49/199.86 [1148]~E(x11481,x11482)+E(f908(x11483,x11484,x11481,x11485),f908(x11483,x11484,x11482,x11485)) % 199.49/199.86 [1149]~E(x11491,x11492)+E(f908(x11493,x11494,x11495,x11491),f908(x11493,x11494,x11495,x11492)) % 199.49/199.86 [1150]~E(x11501,x11502)+E(f511(x11501,x11503,x11504,x11505,x11506),f511(x11502,x11503,x11504,x11505,x11506)) % 199.49/199.86 [1151]~E(x11511,x11512)+E(f511(x11513,x11511,x11514,x11515,x11516),f511(x11513,x11512,x11514,x11515,x11516)) % 199.49/199.86 [1152]~E(x11521,x11522)+E(f511(x11523,x11524,x11521,x11525,x11526),f511(x11523,x11524,x11522,x11525,x11526)) % 199.49/199.86 [1153]~E(x11531,x11532)+E(f511(x11533,x11534,x11535,x11531,x11536),f511(x11533,x11534,x11535,x11532,x11536)) % 199.49/199.86 [1154]~E(x11541,x11542)+E(f511(x11543,x11544,x11545,x11546,x11541),f511(x11543,x11544,x11545,x11546,x11542)) % 199.49/199.86 [1155]~E(x11551,x11552)+E(f570(x11551,x11553),f570(x11552,x11553)) % 199.49/199.86 [1156]~E(x11561,x11562)+E(f570(x11563,x11561),f570(x11563,x11562)) % 199.49/199.86 [1157]~E(x11571,x11572)+E(f353(x11571,x11573,x11574),f353(x11572,x11573,x11574)) % 199.49/199.86 [1158]~E(x11581,x11582)+E(f353(x11583,x11581,x11584),f353(x11583,x11582,x11584)) % 199.49/199.86 [1159]~E(x11591,x11592)+E(f353(x11593,x11594,x11591),f353(x11593,x11594,x11592)) % 199.49/199.86 [1160]~E(x11601,x11602)+E(f525(x11601,x11603,x11604),f525(x11602,x11603,x11604)) % 199.49/199.86 [1161]~E(x11611,x11612)+E(f525(x11613,x11611,x11614),f525(x11613,x11612,x11614)) % 199.49/199.86 [1162]~E(x11621,x11622)+E(f525(x11623,x11624,x11621),f525(x11623,x11624,x11622)) % 199.49/199.86 [1163]~E(x11631,x11632)+E(f852(x11631,x11633,x11634,x11635,x11636,x11637,x11638),f852(x11632,x11633,x11634,x11635,x11636,x11637,x11638)) % 199.49/199.86 [1164]~E(x11641,x11642)+E(f852(x11643,x11641,x11644,x11645,x11646,x11647,x11648),f852(x11643,x11642,x11644,x11645,x11646,x11647,x11648)) % 199.49/199.86 [1165]~E(x11651,x11652)+E(f852(x11653,x11654,x11651,x11655,x11656,x11657,x11658),f852(x11653,x11654,x11652,x11655,x11656,x11657,x11658)) % 199.49/199.86 [1166]~E(x11661,x11662)+E(f852(x11663,x11664,x11665,x11661,x11666,x11667,x11668),f852(x11663,x11664,x11665,x11662,x11666,x11667,x11668)) % 199.49/199.86 [1167]~E(x11671,x11672)+E(f852(x11673,x11674,x11675,x11676,x11671,x11677,x11678),f852(x11673,x11674,x11675,x11676,x11672,x11677,x11678)) % 199.49/199.86 [1168]~E(x11681,x11682)+E(f852(x11683,x11684,x11685,x11686,x11687,x11681,x11688),f852(x11683,x11684,x11685,x11686,x11687,x11682,x11688)) % 199.49/199.86 [1169]~E(x11691,x11692)+E(f852(x11693,x11694,x11695,x11696,x11697,x11698,x11691),f852(x11693,x11694,x11695,x11696,x11697,x11698,x11692)) % 199.49/199.86 [1170]~E(x11701,x11702)+E(f430(x11701,x11703,x11704),f430(x11702,x11703,x11704)) % 199.49/199.86 [1171]~E(x11711,x11712)+E(f430(x11713,x11711,x11714),f430(x11713,x11712,x11714)) % 199.49/199.86 [1172]~E(x11721,x11722)+E(f430(x11723,x11724,x11721),f430(x11723,x11724,x11722)) % 199.49/199.86 [1173]~E(x11731,x11732)+E(f398(x11731,x11733),f398(x11732,x11733)) % 199.49/199.86 [1174]~E(x11741,x11742)+E(f398(x11743,x11741),f398(x11743,x11742)) % 199.49/199.86 [1175]~E(x11751,x11752)+E(f666(x11751,x11753,x11754,x11755,x11756),f666(x11752,x11753,x11754,x11755,x11756)) % 199.49/199.86 [1176]~E(x11761,x11762)+E(f666(x11763,x11761,x11764,x11765,x11766),f666(x11763,x11762,x11764,x11765,x11766)) % 199.49/199.86 [1177]~E(x11771,x11772)+E(f666(x11773,x11774,x11771,x11775,x11776),f666(x11773,x11774,x11772,x11775,x11776)) % 199.49/199.86 [1178]~E(x11781,x11782)+E(f666(x11783,x11784,x11785,x11781,x11786),f666(x11783,x11784,x11785,x11782,x11786)) % 199.49/199.86 [1179]~E(x11791,x11792)+E(f666(x11793,x11794,x11795,x11796,x11791),f666(x11793,x11794,x11795,x11796,x11792)) % 199.49/199.86 [1180]~E(x11801,x11802)+E(f907(x11801,x11803,x11804,x11805),f907(x11802,x11803,x11804,x11805)) % 199.49/199.86 [1181]~E(x11811,x11812)+E(f907(x11813,x11811,x11814,x11815),f907(x11813,x11812,x11814,x11815)) % 199.49/199.86 [1182]~E(x11821,x11822)+E(f907(x11823,x11824,x11821,x11825),f907(x11823,x11824,x11822,x11825)) % 199.49/199.86 [1183]~E(x11831,x11832)+E(f907(x11833,x11834,x11835,x11831),f907(x11833,x11834,x11835,x11832)) % 199.49/199.86 [1184]~E(x11841,x11842)+E(f437(x11841,x11843,x11844,x11845),f437(x11842,x11843,x11844,x11845)) % 199.49/199.86 [1185]~E(x11851,x11852)+E(f437(x11853,x11851,x11854,x11855),f437(x11853,x11852,x11854,x11855)) % 199.49/199.86 [1186]~E(x11861,x11862)+E(f437(x11863,x11864,x11861,x11865),f437(x11863,x11864,x11862,x11865)) % 199.49/199.86 [1187]~E(x11871,x11872)+E(f437(x11873,x11874,x11875,x11871),f437(x11873,x11874,x11875,x11872)) % 199.49/199.86 [1188]~E(x11881,x11882)+E(f756(x11881,x11883,x11884,x11885,x11886),f756(x11882,x11883,x11884,x11885,x11886)) % 199.49/199.86 [1189]~E(x11891,x11892)+E(f756(x11893,x11891,x11894,x11895,x11896),f756(x11893,x11892,x11894,x11895,x11896)) % 199.49/199.86 [1190]~E(x11901,x11902)+E(f756(x11903,x11904,x11901,x11905,x11906),f756(x11903,x11904,x11902,x11905,x11906)) % 199.49/199.86 [1191]~E(x11911,x11912)+E(f756(x11913,x11914,x11915,x11911,x11916),f756(x11913,x11914,x11915,x11912,x11916)) % 199.49/199.86 [1192]~E(x11921,x11922)+E(f756(x11923,x11924,x11925,x11926,x11921),f756(x11923,x11924,x11925,x11926,x11922)) % 199.49/199.86 [1193]~E(x11931,x11932)+E(f506(x11931,x11933,x11934,x11935),f506(x11932,x11933,x11934,x11935)) % 199.49/199.86 [1194]~E(x11941,x11942)+E(f506(x11943,x11941,x11944,x11945),f506(x11943,x11942,x11944,x11945)) % 199.49/199.86 [1195]~E(x11951,x11952)+E(f506(x11953,x11954,x11951,x11955),f506(x11953,x11954,x11952,x11955)) % 199.49/199.86 [1196]~E(x11961,x11962)+E(f506(x11963,x11964,x11965,x11961),f506(x11963,x11964,x11965,x11962)) % 199.49/199.86 [1197]~E(x11971,x11972)+E(f131(x11971,x11973),f131(x11972,x11973)) % 199.49/199.86 [1198]~E(x11981,x11982)+E(f131(x11983,x11981),f131(x11983,x11982)) % 199.49/199.86 [1199]~E(x11991,x11992)+E(f146(x11991,x11993),f146(x11992,x11993)) % 199.49/199.86 [1200]~E(x12001,x12002)+E(f146(x12003,x12001),f146(x12003,x12002)) % 199.49/199.86 [1201]~E(x12011,x12012)+E(f303(x12011,x12013,x12014,x12015,x12016),f303(x12012,x12013,x12014,x12015,x12016)) % 199.49/199.86 [1202]~E(x12021,x12022)+E(f303(x12023,x12021,x12024,x12025,x12026),f303(x12023,x12022,x12024,x12025,x12026)) % 199.49/199.86 [1203]~E(x12031,x12032)+E(f303(x12033,x12034,x12031,x12035,x12036),f303(x12033,x12034,x12032,x12035,x12036)) % 199.49/199.86 [1204]~E(x12041,x12042)+E(f303(x12043,x12044,x12045,x12041,x12046),f303(x12043,x12044,x12045,x12042,x12046)) % 199.49/199.86 [1205]~E(x12051,x12052)+E(f303(x12053,x12054,x12055,x12056,x12051),f303(x12053,x12054,x12055,x12056,x12052)) % 199.49/199.86 [1206]~E(x12061,x12062)+E(f650(x12061,x12063),f650(x12062,x12063)) % 199.49/199.86 [1207]~E(x12071,x12072)+E(f650(x12073,x12071),f650(x12073,x12072)) % 199.49/199.86 [1208]~E(x12081,x12082)+E(f764(x12081,x12083,x12084,x12085),f764(x12082,x12083,x12084,x12085)) % 199.49/199.86 [1209]~E(x12091,x12092)+E(f764(x12093,x12091,x12094,x12095),f764(x12093,x12092,x12094,x12095)) % 199.49/199.86 [1210]~E(x12101,x12102)+E(f764(x12103,x12104,x12101,x12105),f764(x12103,x12104,x12102,x12105)) % 199.49/199.86 [1211]~E(x12111,x12112)+E(f764(x12113,x12114,x12115,x12111),f764(x12113,x12114,x12115,x12112)) % 199.49/199.86 [1212]~E(x12121,x12122)+E(f468(x12121,x12123,x12124,x12125),f468(x12122,x12123,x12124,x12125)) % 199.49/199.86 [1213]~E(x12131,x12132)+E(f468(x12133,x12131,x12134,x12135),f468(x12133,x12132,x12134,x12135)) % 199.49/199.86 [1214]~E(x12141,x12142)+E(f468(x12143,x12144,x12141,x12145),f468(x12143,x12144,x12142,x12145)) % 199.49/199.86 [1215]~E(x12151,x12152)+E(f468(x12153,x12154,x12155,x12151),f468(x12153,x12154,x12155,x12152)) % 199.49/199.86 [1216]~E(x12161,x12162)+E(f785(x12161,x12163,x12164,x12165,x12166,x12167),f785(x12162,x12163,x12164,x12165,x12166,x12167)) % 199.49/199.86 [1217]~E(x12171,x12172)+E(f785(x12173,x12171,x12174,x12175,x12176,x12177),f785(x12173,x12172,x12174,x12175,x12176,x12177)) % 199.49/199.86 [1218]~E(x12181,x12182)+E(f785(x12183,x12184,x12181,x12185,x12186,x12187),f785(x12183,x12184,x12182,x12185,x12186,x12187)) % 199.49/199.86 [1219]~E(x12191,x12192)+E(f785(x12193,x12194,x12195,x12191,x12196,x12197),f785(x12193,x12194,x12195,x12192,x12196,x12197)) % 199.49/199.86 [1220]~E(x12201,x12202)+E(f785(x12203,x12204,x12205,x12206,x12201,x12207),f785(x12203,x12204,x12205,x12206,x12202,x12207)) % 199.49/199.86 [1221]~E(x12211,x12212)+E(f785(x12213,x12214,x12215,x12216,x12217,x12211),f785(x12213,x12214,x12215,x12216,x12217,x12212)) % 199.49/199.86 [1222]~E(x12221,x12222)+E(f380(x12221,x12223,x12224),f380(x12222,x12223,x12224)) % 199.49/199.86 [1223]~E(x12231,x12232)+E(f380(x12233,x12231,x12234),f380(x12233,x12232,x12234)) % 199.49/199.86 [1224]~E(x12241,x12242)+E(f380(x12243,x12244,x12241),f380(x12243,x12244,x12242)) % 199.49/199.86 [1225]~E(x12251,x12252)+E(f262(x12251,x12253,x12254,x12255),f262(x12252,x12253,x12254,x12255)) % 199.49/199.86 [1226]~E(x12261,x12262)+E(f262(x12263,x12261,x12264,x12265),f262(x12263,x12262,x12264,x12265)) % 199.49/199.86 [1227]~E(x12271,x12272)+E(f262(x12273,x12274,x12271,x12275),f262(x12273,x12274,x12272,x12275)) % 199.49/199.86 [1228]~E(x12281,x12282)+E(f262(x12283,x12284,x12285,x12281),f262(x12283,x12284,x12285,x12282)) % 199.49/199.86 [1229]~E(x12291,x12292)+E(f594(x12291,x12293,x12294,x12295),f594(x12292,x12293,x12294,x12295)) % 199.49/199.86 [1230]~E(x12301,x12302)+E(f594(x12303,x12301,x12304,x12305),f594(x12303,x12302,x12304,x12305)) % 199.49/199.86 [1231]~E(x12311,x12312)+E(f594(x12313,x12314,x12311,x12315),f594(x12313,x12314,x12312,x12315)) % 199.49/199.86 [1232]~E(x12321,x12322)+E(f594(x12323,x12324,x12325,x12321),f594(x12323,x12324,x12325,x12322)) % 199.49/199.86 [1233]~E(x12331,x12332)+E(f428(x12331,x12333),f428(x12332,x12333)) % 199.49/199.86 [1234]~E(x12341,x12342)+E(f428(x12343,x12341),f428(x12343,x12342)) % 199.49/199.86 [1235]~E(x12351,x12352)+E(f361(x12351,x12353),f361(x12352,x12353)) % 199.49/199.86 [1236]~E(x12361,x12362)+E(f361(x12363,x12361),f361(x12363,x12362)) % 199.49/199.86 [1237]~E(x12371,x12372)+E(f853(x12371,x12373,x12374,x12375,x12376,x12377,x12378,x12379),f853(x12372,x12373,x12374,x12375,x12376,x12377,x12378,x12379)) % 199.49/199.86 [1238]~E(x12381,x12382)+E(f853(x12383,x12381,x12384,x12385,x12386,x12387,x12388,x12389),f853(x12383,x12382,x12384,x12385,x12386,x12387,x12388,x12389)) % 199.49/199.86 [1239]~E(x12391,x12392)+E(f853(x12393,x12394,x12391,x12395,x12396,x12397,x12398,x12399),f853(x12393,x12394,x12392,x12395,x12396,x12397,x12398,x12399)) % 199.49/199.86 [1240]~E(x12401,x12402)+E(f853(x12403,x12404,x12405,x12401,x12406,x12407,x12408,x12409),f853(x12403,x12404,x12405,x12402,x12406,x12407,x12408,x12409)) % 199.49/199.86 [1241]~E(x12411,x12412)+E(f853(x12413,x12414,x12415,x12416,x12411,x12417,x12418,x12419),f853(x12413,x12414,x12415,x12416,x12412,x12417,x12418,x12419)) % 199.49/199.86 [1242]~E(x12421,x12422)+E(f853(x12423,x12424,x12425,x12426,x12427,x12421,x12428,x12429),f853(x12423,x12424,x12425,x12426,x12427,x12422,x12428,x12429)) % 199.49/199.86 [1243]~E(x12431,x12432)+E(f853(x12433,x12434,x12435,x12436,x12437,x12438,x12431,x12439),f853(x12433,x12434,x12435,x12436,x12437,x12438,x12432,x12439)) % 199.49/199.86 [1244]~E(x12441,x12442)+E(f853(x12443,x12444,x12445,x12446,x12447,x12448,x12449,x12441),f853(x12443,x12444,x12445,x12446,x12447,x12448,x12449,x12442)) % 199.49/199.86 [1245]~E(x12451,x12452)+E(f489(x12451,x12453,x12454,x12455,x12456,x12457),f489(x12452,x12453,x12454,x12455,x12456,x12457)) % 199.49/199.86 [1246]~E(x12461,x12462)+E(f489(x12463,x12461,x12464,x12465,x12466,x12467),f489(x12463,x12462,x12464,x12465,x12466,x12467)) % 199.49/199.86 [1247]~E(x12471,x12472)+E(f489(x12473,x12474,x12471,x12475,x12476,x12477),f489(x12473,x12474,x12472,x12475,x12476,x12477)) % 199.49/199.86 [1248]~E(x12481,x12482)+E(f489(x12483,x12484,x12485,x12481,x12486,x12487),f489(x12483,x12484,x12485,x12482,x12486,x12487)) % 199.49/199.86 [1249]~E(x12491,x12492)+E(f489(x12493,x12494,x12495,x12496,x12491,x12497),f489(x12493,x12494,x12495,x12496,x12492,x12497)) % 199.49/199.86 [1250]~E(x12501,x12502)+E(f489(x12503,x12504,x12505,x12506,x12507,x12501),f489(x12503,x12504,x12505,x12506,x12507,x12502)) % 199.49/199.86 [1251]~E(x12511,x12512)+E(f203(x12511,x12513),f203(x12512,x12513)) % 199.49/199.86 [1252]~E(x12521,x12522)+E(f203(x12523,x12521),f203(x12523,x12522)) % 199.49/199.86 [1253]~E(x12531,x12532)+E(f897(x12531,x12533,x12534,x12535),f897(x12532,x12533,x12534,x12535)) % 199.49/199.86 [1254]~E(x12541,x12542)+E(f897(x12543,x12541,x12544,x12545),f897(x12543,x12542,x12544,x12545)) % 199.49/199.86 [1255]~E(x12551,x12552)+E(f897(x12553,x12554,x12551,x12555),f897(x12553,x12554,x12552,x12555)) % 199.49/199.86 [1256]~E(x12561,x12562)+E(f897(x12563,x12564,x12565,x12561),f897(x12563,x12564,x12565,x12562)) % 199.49/199.86 [1257]~E(x12571,x12572)+E(f130(x12571,x12573,x12574,x12575,x12576),f130(x12572,x12573,x12574,x12575,x12576)) % 199.49/199.86 [1258]~E(x12581,x12582)+E(f130(x12583,x12581,x12584,x12585,x12586),f130(x12583,x12582,x12584,x12585,x12586)) % 199.49/199.86 [1259]~E(x12591,x12592)+E(f130(x12593,x12594,x12591,x12595,x12596),f130(x12593,x12594,x12592,x12595,x12596)) % 199.49/199.86 [1260]~E(x12601,x12602)+E(f130(x12603,x12604,x12605,x12601,x12606),f130(x12603,x12604,x12605,x12602,x12606)) % 199.49/199.86 [1261]~E(x12611,x12612)+E(f130(x12613,x12614,x12615,x12616,x12611),f130(x12613,x12614,x12615,x12616,x12612)) % 199.49/199.86 [1262]~E(x12621,x12622)+E(f728(x12621,x12623,x12624),f728(x12622,x12623,x12624)) % 199.49/199.86 [1263]~E(x12631,x12632)+E(f728(x12633,x12631,x12634),f728(x12633,x12632,x12634)) % 199.49/199.86 [1264]~E(x12641,x12642)+E(f728(x12643,x12644,x12641),f728(x12643,x12644,x12642)) % 199.49/199.86 [1265]~E(x12651,x12652)+E(f820(x12651,x12653),f820(x12652,x12653)) % 199.49/199.86 [1266]~E(x12661,x12662)+E(f820(x12663,x12661),f820(x12663,x12662)) % 199.49/199.86 [1267]~E(x12671,x12672)+E(f751(x12671,x12673,x12674,x12675),f751(x12672,x12673,x12674,x12675)) % 199.49/199.86 [1268]~E(x12681,x12682)+E(f751(x12683,x12681,x12684,x12685),f751(x12683,x12682,x12684,x12685)) % 199.49/199.86 [1269]~E(x12691,x12692)+E(f751(x12693,x12694,x12691,x12695),f751(x12693,x12694,x12692,x12695)) % 199.49/199.86 [1270]~E(x12701,x12702)+E(f751(x12703,x12704,x12705,x12701),f751(x12703,x12704,x12705,x12702)) % 199.49/199.86 [1271]~E(x12711,x12712)+E(f701(x12711,x12713,x12714),f701(x12712,x12713,x12714)) % 199.49/199.86 [1272]~E(x12721,x12722)+E(f701(x12723,x12721,x12724),f701(x12723,x12722,x12724)) % 199.49/199.86 [1273]~E(x12731,x12732)+E(f701(x12733,x12734,x12731),f701(x12733,x12734,x12732)) % 199.49/199.86 [1274]~E(x12741,x12742)+E(f621(x12741,x12743),f621(x12742,x12743)) % 199.49/199.86 [1275]~E(x12751,x12752)+E(f621(x12753,x12751),f621(x12753,x12752)) % 199.49/199.86 [1276]~E(x12761,x12762)+E(f622(x12761,x12763),f622(x12762,x12763)) % 199.49/199.86 [1277]~E(x12771,x12772)+E(f622(x12773,x12771),f622(x12773,x12772)) % 199.49/199.86 [1278]~E(x12781,x12782)+E(f817(x12781),f817(x12782)) % 199.49/199.86 [1279]~E(x12791,x12792)+E(f829(x12791,x12793,x12794),f829(x12792,x12793,x12794)) % 199.49/199.86 [1280]~E(x12801,x12802)+E(f829(x12803,x12801,x12804),f829(x12803,x12802,x12804)) % 199.49/199.86 [1281]~E(x12811,x12812)+E(f829(x12813,x12814,x12811),f829(x12813,x12814,x12812)) % 199.49/199.86 [1282]~E(x12821,x12822)+E(f444(x12821,x12823),f444(x12822,x12823)) % 199.49/199.86 [1283]~E(x12831,x12832)+E(f444(x12833,x12831),f444(x12833,x12832)) % 199.49/199.86 [1284]~E(x12841,x12842)+E(f478(x12841,x12843,x12844,x12845),f478(x12842,x12843,x12844,x12845)) % 199.49/199.86 [1285]~E(x12851,x12852)+E(f478(x12853,x12851,x12854,x12855),f478(x12853,x12852,x12854,x12855)) % 199.49/199.86 [1286]~E(x12861,x12862)+E(f478(x12863,x12864,x12861,x12865),f478(x12863,x12864,x12862,x12865)) % 199.49/199.86 [1287]~E(x12871,x12872)+E(f478(x12873,x12874,x12875,x12871),f478(x12873,x12874,x12875,x12872)) % 199.49/199.86 [1288]~E(x12881,x12882)+E(f342(x12881,x12883,x12884),f342(x12882,x12883,x12884)) % 199.49/199.86 [1289]~E(x12891,x12892)+E(f342(x12893,x12891,x12894),f342(x12893,x12892,x12894)) % 199.49/199.86 [1290]~E(x12901,x12902)+E(f342(x12903,x12904,x12901),f342(x12903,x12904,x12902)) % 199.49/199.86 [1291]~E(x12911,x12912)+E(f902(x12911,x12913,x12914,x12915,x12916),f902(x12912,x12913,x12914,x12915,x12916)) % 199.49/199.86 [1292]~E(x12921,x12922)+E(f902(x12923,x12921,x12924,x12925,x12926),f902(x12923,x12922,x12924,x12925,x12926)) % 199.49/199.86 [1293]~E(x12931,x12932)+E(f902(x12933,x12934,x12931,x12935,x12936),f902(x12933,x12934,x12932,x12935,x12936)) % 199.49/199.86 [1294]~E(x12941,x12942)+E(f902(x12943,x12944,x12945,x12941,x12946),f902(x12943,x12944,x12945,x12942,x12946)) % 199.49/199.86 [1295]~E(x12951,x12952)+E(f902(x12953,x12954,x12955,x12956,x12951),f902(x12953,x12954,x12955,x12956,x12952)) % 199.49/199.86 [1296]~E(x12961,x12962)+E(f630(x12961,x12963,x12964,x12965,x12966),f630(x12962,x12963,x12964,x12965,x12966)) % 199.49/199.86 [1297]~E(x12971,x12972)+E(f630(x12973,x12971,x12974,x12975,x12976),f630(x12973,x12972,x12974,x12975,x12976)) % 199.49/199.86 [1298]~E(x12981,x12982)+E(f630(x12983,x12984,x12981,x12985,x12986),f630(x12983,x12984,x12982,x12985,x12986)) % 199.49/199.86 [1299]~E(x12991,x12992)+E(f630(x12993,x12994,x12995,x12991,x12996),f630(x12993,x12994,x12995,x12992,x12996)) % 199.49/199.86 [1300]~E(x13001,x13002)+E(f630(x13003,x13004,x13005,x13006,x13001),f630(x13003,x13004,x13005,x13006,x13002)) % 199.49/199.86 [1301]~E(x13011,x13012)+E(f176(x13011,x13013,x13014),f176(x13012,x13013,x13014)) % 199.49/199.86 [1302]~E(x13021,x13022)+E(f176(x13023,x13021,x13024),f176(x13023,x13022,x13024)) % 199.49/199.86 [1303]~E(x13031,x13032)+E(f176(x13033,x13034,x13031),f176(x13033,x13034,x13032)) % 199.49/199.86 [1304]~E(x13041,x13042)+E(f803(x13041),f803(x13042)) % 199.49/199.86 [1305]~E(x13051,x13052)+E(f832(x13051,x13053,x13054),f832(x13052,x13053,x13054)) % 199.49/199.86 [1306]~E(x13061,x13062)+E(f832(x13063,x13061,x13064),f832(x13063,x13062,x13064)) % 199.49/199.86 [1307]~E(x13071,x13072)+E(f832(x13073,x13074,x13071),f832(x13073,x13074,x13072)) % 199.49/199.86 [1308]~E(x13081,x13082)+E(f838(x13081,x13083,x13084),f838(x13082,x13083,x13084)) % 199.49/199.86 [1309]~E(x13091,x13092)+E(f838(x13093,x13091,x13094),f838(x13093,x13092,x13094)) % 199.49/199.86 [1310]~E(x13101,x13102)+E(f838(x13103,x13104,x13101),f838(x13103,x13104,x13102)) % 199.49/199.86 [1311]~E(x13111,x13112)+E(f612(x13111,x13113,x13114,x13115),f612(x13112,x13113,x13114,x13115)) % 199.49/199.86 [1312]~E(x13121,x13122)+E(f612(x13123,x13121,x13124,x13125),f612(x13123,x13122,x13124,x13125)) % 199.49/199.86 [1313]~E(x13131,x13132)+E(f612(x13133,x13134,x13131,x13135),f612(x13133,x13134,x13132,x13135)) % 199.49/199.86 [1314]~E(x13141,x13142)+E(f612(x13143,x13144,x13145,x13141),f612(x13143,x13144,x13145,x13142)) % 199.49/199.86 [1315]~E(x13151,x13152)+E(f210(x13151,x13153,x13154,x13155),f210(x13152,x13153,x13154,x13155)) % 199.49/199.86 [1316]~E(x13161,x13162)+E(f210(x13163,x13161,x13164,x13165),f210(x13163,x13162,x13164,x13165)) % 199.49/199.86 [1317]~E(x13171,x13172)+E(f210(x13173,x13174,x13171,x13175),f210(x13173,x13174,x13172,x13175)) % 199.49/199.86 [1318]~E(x13181,x13182)+E(f210(x13183,x13184,x13185,x13181),f210(x13183,x13184,x13185,x13182)) % 199.49/199.86 [1319]~E(x13191,x13192)+E(f770(x13191,x13193,x13194),f770(x13192,x13193,x13194)) % 199.49/199.86 [1320]~E(x13201,x13202)+E(f770(x13203,x13201,x13204),f770(x13203,x13202,x13204)) % 199.49/199.86 [1321]~E(x13211,x13212)+E(f770(x13213,x13214,x13211),f770(x13213,x13214,x13212)) % 199.49/199.86 [1322]~E(x13221,x13222)+E(f449(x13221,x13223),f449(x13222,x13223)) % 199.49/199.86 [1323]~E(x13231,x13232)+E(f449(x13233,x13231),f449(x13233,x13232)) % 199.49/199.86 [1324]~E(x13241,x13242)+E(f654(x13241,x13243,x13244,x13245),f654(x13242,x13243,x13244,x13245)) % 199.49/199.86 [1325]~E(x13251,x13252)+E(f654(x13253,x13251,x13254,x13255),f654(x13253,x13252,x13254,x13255)) % 199.49/199.86 [1326]~E(x13261,x13262)+E(f654(x13263,x13264,x13261,x13265),f654(x13263,x13264,x13262,x13265)) % 199.49/199.86 [1327]~E(x13271,x13272)+E(f654(x13273,x13274,x13275,x13271),f654(x13273,x13274,x13275,x13272)) % 199.49/199.86 [1328]~E(x13281,x13282)+E(f615(x13281,x13283,x13284,x13285,x13286,x13287,x13288,x13289),f615(x13282,x13283,x13284,x13285,x13286,x13287,x13288,x13289)) % 199.49/199.86 [1329]~E(x13291,x13292)+E(f615(x13293,x13291,x13294,x13295,x13296,x13297,x13298,x13299),f615(x13293,x13292,x13294,x13295,x13296,x13297,x13298,x13299)) % 199.49/199.86 [1330]~E(x13301,x13302)+E(f615(x13303,x13304,x13301,x13305,x13306,x13307,x13308,x13309),f615(x13303,x13304,x13302,x13305,x13306,x13307,x13308,x13309)) % 199.49/199.86 [1331]~E(x13311,x13312)+E(f615(x13313,x13314,x13315,x13311,x13316,x13317,x13318,x13319),f615(x13313,x13314,x13315,x13312,x13316,x13317,x13318,x13319)) % 199.49/199.86 [1332]~E(x13321,x13322)+E(f615(x13323,x13324,x13325,x13326,x13321,x13327,x13328,x13329),f615(x13323,x13324,x13325,x13326,x13322,x13327,x13328,x13329)) % 199.49/199.86 [1333]~E(x13331,x13332)+E(f615(x13333,x13334,x13335,x13336,x13337,x13331,x13338,x13339),f615(x13333,x13334,x13335,x13336,x13337,x13332,x13338,x13339)) % 199.49/199.86 [1334]~E(x13341,x13342)+E(f615(x13343,x13344,x13345,x13346,x13347,x13348,x13341,x13349),f615(x13343,x13344,x13345,x13346,x13347,x13348,x13342,x13349)) % 199.49/199.86 [1335]~E(x13351,x13352)+E(f615(x13353,x13354,x13355,x13356,x13357,x13358,x13359,x13351),f615(x13353,x13354,x13355,x13356,x13357,x13358,x13359,x13352)) % 199.49/199.86 [1336]~E(x13361,x13362)+E(f826(x13361,x13363,x13364,x13365,x13366,x13367),f826(x13362,x13363,x13364,x13365,x13366,x13367)) % 199.49/199.86 [1337]~E(x13371,x13372)+E(f826(x13373,x13371,x13374,x13375,x13376,x13377),f826(x13373,x13372,x13374,x13375,x13376,x13377)) % 199.49/199.86 [1338]~E(x13381,x13382)+E(f826(x13383,x13384,x13381,x13385,x13386,x13387),f826(x13383,x13384,x13382,x13385,x13386,x13387)) % 199.49/199.86 [1339]~E(x13391,x13392)+E(f826(x13393,x13394,x13395,x13391,x13396,x13397),f826(x13393,x13394,x13395,x13392,x13396,x13397)) % 199.49/199.86 [1340]~E(x13401,x13402)+E(f826(x13403,x13404,x13405,x13406,x13401,x13407),f826(x13403,x13404,x13405,x13406,x13402,x13407)) % 199.49/199.86 [1341]~E(x13411,x13412)+E(f826(x13413,x13414,x13415,x13416,x13417,x13411),f826(x13413,x13414,x13415,x13416,x13417,x13412)) % 199.49/199.86 [1342]~E(x13421,x13422)+E(f885(x13421),f885(x13422)) % 199.49/199.86 [1343]~E(x13431,x13432)+E(f814(x13431,x13433),f814(x13432,x13433)) % 199.49/199.86 [1344]~E(x13441,x13442)+E(f814(x13443,x13441),f814(x13443,x13442)) % 199.49/199.86 [1345]~E(x13451,x13452)+E(f32(x13451,x13453,x13454,x13455,x13456,x13457,x13458,x13459,x134510,x134511),f32(x13452,x13453,x13454,x13455,x13456,x13457,x13458,x13459,x134510,x134511)) % 199.49/199.86 [1346]~E(x13461,x13462)+E(f32(x13463,x13461,x13464,x13465,x13466,x13467,x13468,x13469,x134610,x134611),f32(x13463,x13462,x13464,x13465,x13466,x13467,x13468,x13469,x134610,x134611)) % 199.49/199.86 [1347]~E(x13471,x13472)+E(f32(x13473,x13474,x13471,x13475,x13476,x13477,x13478,x13479,x134710,x134711),f32(x13473,x13474,x13472,x13475,x13476,x13477,x13478,x13479,x134710,x134711)) % 199.49/199.86 [1348]~E(x13481,x13482)+E(f32(x13483,x13484,x13485,x13481,x13486,x13487,x13488,x13489,x134810,x134811),f32(x13483,x13484,x13485,x13482,x13486,x13487,x13488,x13489,x134810,x134811)) % 199.49/199.86 [1349]~E(x13491,x13492)+E(f32(x13493,x13494,x13495,x13496,x13491,x13497,x13498,x13499,x134910,x134911),f32(x13493,x13494,x13495,x13496,x13492,x13497,x13498,x13499,x134910,x134911)) % 199.49/199.86 [1350]~E(x13501,x13502)+E(f32(x13503,x13504,x13505,x13506,x13507,x13501,x13508,x13509,x135010,x135011),f32(x13503,x13504,x13505,x13506,x13507,x13502,x13508,x13509,x135010,x135011)) % 199.49/199.86 [1351]~E(x13511,x13512)+E(f32(x13513,x13514,x13515,x13516,x13517,x13518,x13511,x13519,x135110,x135111),f32(x13513,x13514,x13515,x13516,x13517,x13518,x13512,x13519,x135110,x135111)) % 199.49/199.86 [1352]~E(x13521,x13522)+E(f32(x13523,x13524,x13525,x13526,x13527,x13528,x13529,x13521,x135210,x135211),f32(x13523,x13524,x13525,x13526,x13527,x13528,x13529,x13522,x135210,x135211)) % 199.49/199.86 [1353]~E(x13531,x13532)+E(f32(x13533,x13534,x13535,x13536,x13537,x13538,x13539,x135310,x13531,x135311),f32(x13533,x13534,x13535,x13536,x13537,x13538,x13539,x135310,x13532,x135311)) % 199.49/199.86 [1354]~E(x13541,x13542)+E(f32(x13543,x13544,x13545,x13546,x13547,x13548,x13549,x135410,x135411,x13541),f32(x13543,x13544,x13545,x13546,x13547,x13548,x13549,x135410,x135411,x13542)) % 199.49/199.86 [1355]~E(x13551,x13552)+E(f784(x13551,x13553,x13554,x13555),f784(x13552,x13553,x13554,x13555)) % 199.49/199.86 [1356]~E(x13561,x13562)+E(f784(x13563,x13561,x13564,x13565),f784(x13563,x13562,x13564,x13565)) % 199.49/199.86 [1357]~E(x13571,x13572)+E(f784(x13573,x13574,x13571,x13575),f784(x13573,x13574,x13572,x13575)) % 199.49/199.86 [1358]~E(x13581,x13582)+E(f784(x13583,x13584,x13585,x13581),f784(x13583,x13584,x13585,x13582)) % 199.49/199.86 [1359]~E(x13591,x13592)+E(f189(x13591),f189(x13592)) % 199.49/199.86 [1360]~E(x13601,x13602)+E(f485(x13601,x13603,x13604,x13605,x13606),f485(x13602,x13603,x13604,x13605,x13606)) % 199.49/199.86 [1361]~E(x13611,x13612)+E(f485(x13613,x13611,x13614,x13615,x13616),f485(x13613,x13612,x13614,x13615,x13616)) % 199.49/199.86 [1362]~E(x13621,x13622)+E(f485(x13623,x13624,x13621,x13625,x13626),f485(x13623,x13624,x13622,x13625,x13626)) % 199.49/199.86 [1363]~E(x13631,x13632)+E(f485(x13633,x13634,x13635,x13631,x13636),f485(x13633,x13634,x13635,x13632,x13636)) % 199.49/199.86 [1364]~E(x13641,x13642)+E(f485(x13643,x13644,x13645,x13646,x13641),f485(x13643,x13644,x13645,x13646,x13642)) % 199.49/199.86 [1365]~E(x13651,x13652)+E(f736(x13651,x13653),f736(x13652,x13653)) % 199.49/199.86 [1366]~E(x13661,x13662)+E(f736(x13663,x13661),f736(x13663,x13662)) % 199.49/199.86 [1367]~E(x13671,x13672)+E(f367(x13671,x13673),f367(x13672,x13673)) % 199.49/199.86 [1368]~E(x13681,x13682)+E(f367(x13683,x13681),f367(x13683,x13682)) % 199.49/199.86 [1369]~E(x13691,x13692)+E(f653(x13691,x13693,x13694,x13695),f653(x13692,x13693,x13694,x13695)) % 199.49/199.86 [1370]~E(x13701,x13702)+E(f653(x13703,x13701,x13704,x13705),f653(x13703,x13702,x13704,x13705)) % 199.49/199.86 [1371]~E(x13711,x13712)+E(f653(x13713,x13714,x13711,x13715),f653(x13713,x13714,x13712,x13715)) % 199.49/199.86 [1372]~E(x13721,x13722)+E(f653(x13723,x13724,x13725,x13721),f653(x13723,x13724,x13725,x13722)) % 199.49/199.86 [1373]~E(x13731,x13732)+E(f505(x13731,x13733,x13734,x13735,x13736,x13737,x13738),f505(x13732,x13733,x13734,x13735,x13736,x13737,x13738)) % 199.49/199.86 [1374]~E(x13741,x13742)+E(f505(x13743,x13741,x13744,x13745,x13746,x13747,x13748),f505(x13743,x13742,x13744,x13745,x13746,x13747,x13748)) % 199.49/199.86 [1375]~E(x13751,x13752)+E(f505(x13753,x13754,x13751,x13755,x13756,x13757,x13758),f505(x13753,x13754,x13752,x13755,x13756,x13757,x13758)) % 199.49/199.86 [1376]~E(x13761,x13762)+E(f505(x13763,x13764,x13765,x13761,x13766,x13767,x13768),f505(x13763,x13764,x13765,x13762,x13766,x13767,x13768)) % 199.49/199.86 [1377]~E(x13771,x13772)+E(f505(x13773,x13774,x13775,x13776,x13771,x13777,x13778),f505(x13773,x13774,x13775,x13776,x13772,x13777,x13778)) % 199.49/199.86 [1378]~E(x13781,x13782)+E(f505(x13783,x13784,x13785,x13786,x13787,x13781,x13788),f505(x13783,x13784,x13785,x13786,x13787,x13782,x13788)) % 199.49/199.86 [1379]~E(x13791,x13792)+E(f505(x13793,x13794,x13795,x13796,x13797,x13798,x13791),f505(x13793,x13794,x13795,x13796,x13797,x13798,x13792)) % 199.49/199.86 [1380]~E(x13801,x13802)+E(f535(x13801,x13803),f535(x13802,x13803)) % 199.49/199.86 [1381]~E(x13811,x13812)+E(f535(x13813,x13811),f535(x13813,x13812)) % 199.49/199.86 [1382]~E(x13821,x13822)+E(f484(x13821,x13823,x13824,x13825,x13826),f484(x13822,x13823,x13824,x13825,x13826)) % 199.49/199.86 [1383]~E(x13831,x13832)+E(f484(x13833,x13831,x13834,x13835,x13836),f484(x13833,x13832,x13834,x13835,x13836)) % 199.49/199.86 [1384]~E(x13841,x13842)+E(f484(x13843,x13844,x13841,x13845,x13846),f484(x13843,x13844,x13842,x13845,x13846)) % 199.49/199.86 [1385]~E(x13851,x13852)+E(f484(x13853,x13854,x13855,x13851,x13856),f484(x13853,x13854,x13855,x13852,x13856)) % 199.49/199.86 [1386]~E(x13861,x13862)+E(f484(x13863,x13864,x13865,x13866,x13861),f484(x13863,x13864,x13865,x13866,x13862)) % 199.49/199.86 [1387]~E(x13871,x13872)+E(f857(x13871,x13873,x13874,x13875,x13876,x13877,x13878,x13879),f857(x13872,x13873,x13874,x13875,x13876,x13877,x13878,x13879)) % 199.49/199.86 [1388]~E(x13881,x13882)+E(f857(x13883,x13881,x13884,x13885,x13886,x13887,x13888,x13889),f857(x13883,x13882,x13884,x13885,x13886,x13887,x13888,x13889)) % 199.49/199.86 [1389]~E(x13891,x13892)+E(f857(x13893,x13894,x13891,x13895,x13896,x13897,x13898,x13899),f857(x13893,x13894,x13892,x13895,x13896,x13897,x13898,x13899)) % 199.49/199.86 [1390]~E(x13901,x13902)+E(f857(x13903,x13904,x13905,x13901,x13906,x13907,x13908,x13909),f857(x13903,x13904,x13905,x13902,x13906,x13907,x13908,x13909)) % 199.49/199.86 [1391]~E(x13911,x13912)+E(f857(x13913,x13914,x13915,x13916,x13911,x13917,x13918,x13919),f857(x13913,x13914,x13915,x13916,x13912,x13917,x13918,x13919)) % 199.49/199.86 [1392]~E(x13921,x13922)+E(f857(x13923,x13924,x13925,x13926,x13927,x13921,x13928,x13929),f857(x13923,x13924,x13925,x13926,x13927,x13922,x13928,x13929)) % 199.49/199.86 [1393]~E(x13931,x13932)+E(f857(x13933,x13934,x13935,x13936,x13937,x13938,x13931,x13939),f857(x13933,x13934,x13935,x13936,x13937,x13938,x13932,x13939)) % 199.49/199.86 [1394]~E(x13941,x13942)+E(f857(x13943,x13944,x13945,x13946,x13947,x13948,x13949,x13941),f857(x13943,x13944,x13945,x13946,x13947,x13948,x13949,x13942)) % 199.49/199.86 [1395]~E(x13951,x13952)+E(f691(x13951,x13953,x13954,x13955,x13956),f691(x13952,x13953,x13954,x13955,x13956)) % 199.49/199.86 [1396]~E(x13961,x13962)+E(f691(x13963,x13961,x13964,x13965,x13966),f691(x13963,x13962,x13964,x13965,x13966)) % 199.49/199.86 [1397]~E(x13971,x13972)+E(f691(x13973,x13974,x13971,x13975,x13976),f691(x13973,x13974,x13972,x13975,x13976)) % 199.49/199.86 [1398]~E(x13981,x13982)+E(f691(x13983,x13984,x13985,x13981,x13986),f691(x13983,x13984,x13985,x13982,x13986)) % 199.49/199.86 [1399]~E(x13991,x13992)+E(f691(x13993,x13994,x13995,x13996,x13991),f691(x13993,x13994,x13995,x13996,x13992)) % 199.49/199.86 [1400]~E(x14001,x14002)+E(f397(x14001,x14003),f397(x14002,x14003)) % 199.49/199.86 [1401]~E(x14011,x14012)+E(f397(x14013,x14011),f397(x14013,x14012)) % 199.49/199.86 [1402]~E(x14021,x14022)+E(f709(x14021,x14023,x14024,x14025,x14026),f709(x14022,x14023,x14024,x14025,x14026)) % 199.49/199.86 [1403]~E(x14031,x14032)+E(f709(x14033,x14031,x14034,x14035,x14036),f709(x14033,x14032,x14034,x14035,x14036)) % 199.49/199.86 [1404]~E(x14041,x14042)+E(f709(x14043,x14044,x14041,x14045,x14046),f709(x14043,x14044,x14042,x14045,x14046)) % 199.49/199.86 [1405]~E(x14051,x14052)+E(f709(x14053,x14054,x14055,x14051,x14056),f709(x14053,x14054,x14055,x14052,x14056)) % 199.49/199.86 [1406]~E(x14061,x14062)+E(f709(x14063,x14064,x14065,x14066,x14061),f709(x14063,x14064,x14065,x14066,x14062)) % 199.49/199.86 [1407]~E(x14071,x14072)+E(f487(x14071,x14073,x14074,x14075,x14076),f487(x14072,x14073,x14074,x14075,x14076)) % 199.49/199.86 [1408]~E(x14081,x14082)+E(f487(x14083,x14081,x14084,x14085,x14086),f487(x14083,x14082,x14084,x14085,x14086)) % 199.49/199.86 [1409]~E(x14091,x14092)+E(f487(x14093,x14094,x14091,x14095,x14096),f487(x14093,x14094,x14092,x14095,x14096)) % 199.49/199.86 [1410]~E(x14101,x14102)+E(f487(x14103,x14104,x14105,x14101,x14106),f487(x14103,x14104,x14105,x14102,x14106)) % 199.49/199.86 [1411]~E(x14111,x14112)+E(f487(x14113,x14114,x14115,x14116,x14111),f487(x14113,x14114,x14115,x14116,x14112)) % 199.49/199.86 [1412]~E(x14121,x14122)+E(f341(x14121,x14123,x14124),f341(x14122,x14123,x14124)) % 199.49/199.86 [1413]~E(x14131,x14132)+E(f341(x14133,x14131,x14134),f341(x14133,x14132,x14134)) % 199.49/199.86 [1414]~E(x14141,x14142)+E(f341(x14143,x14144,x14141),f341(x14143,x14144,x14142)) % 199.49/199.86 [1415]~E(x14151,x14152)+E(f641(x14151,x14153,x14154,x14155,x14156),f641(x14152,x14153,x14154,x14155,x14156)) % 199.49/199.86 [1416]~E(x14161,x14162)+E(f641(x14163,x14161,x14164,x14165,x14166),f641(x14163,x14162,x14164,x14165,x14166)) % 199.49/199.86 [1417]~E(x14171,x14172)+E(f641(x14173,x14174,x14171,x14175,x14176),f641(x14173,x14174,x14172,x14175,x14176)) % 199.49/199.86 [1418]~E(x14181,x14182)+E(f641(x14183,x14184,x14185,x14181,x14186),f641(x14183,x14184,x14185,x14182,x14186)) % 199.49/199.86 [1419]~E(x14191,x14192)+E(f641(x14193,x14194,x14195,x14196,x14191),f641(x14193,x14194,x14195,x14196,x14192)) % 199.49/199.86 [1420]~E(x14201,x14202)+E(f414(x14201,x14203,x14204),f414(x14202,x14203,x14204)) % 199.49/199.86 [1421]~E(x14211,x14212)+E(f414(x14213,x14211,x14214),f414(x14213,x14212,x14214)) % 199.49/199.86 [1422]~E(x14221,x14222)+E(f414(x14223,x14224,x14221),f414(x14223,x14224,x14222)) % 199.49/199.86 [1423]~E(x14231,x14232)+E(f860(x14231,x14233,x14234,x14235,x14236,x14237,x14238,x14239),f860(x14232,x14233,x14234,x14235,x14236,x14237,x14238,x14239)) % 199.49/199.86 [1424]~E(x14241,x14242)+E(f860(x14243,x14241,x14244,x14245,x14246,x14247,x14248,x14249),f860(x14243,x14242,x14244,x14245,x14246,x14247,x14248,x14249)) % 199.49/199.86 [1425]~E(x14251,x14252)+E(f860(x14253,x14254,x14251,x14255,x14256,x14257,x14258,x14259),f860(x14253,x14254,x14252,x14255,x14256,x14257,x14258,x14259)) % 199.49/199.86 [1426]~E(x14261,x14262)+E(f860(x14263,x14264,x14265,x14261,x14266,x14267,x14268,x14269),f860(x14263,x14264,x14265,x14262,x14266,x14267,x14268,x14269)) % 199.49/199.86 [1427]~E(x14271,x14272)+E(f860(x14273,x14274,x14275,x14276,x14271,x14277,x14278,x14279),f860(x14273,x14274,x14275,x14276,x14272,x14277,x14278,x14279)) % 199.49/199.86 [1428]~E(x14281,x14282)+E(f860(x14283,x14284,x14285,x14286,x14287,x14281,x14288,x14289),f860(x14283,x14284,x14285,x14286,x14287,x14282,x14288,x14289)) % 199.49/199.86 [1429]~E(x14291,x14292)+E(f860(x14293,x14294,x14295,x14296,x14297,x14298,x14291,x14299),f860(x14293,x14294,x14295,x14296,x14297,x14298,x14292,x14299)) % 199.49/199.86 [1430]~E(x14301,x14302)+E(f860(x14303,x14304,x14305,x14306,x14307,x14308,x14309,x14301),f860(x14303,x14304,x14305,x14306,x14307,x14308,x14309,x14302)) % 199.49/199.86 [1431]~E(x14311,x14312)+E(f886(x14311),f886(x14312)) % 199.49/199.86 [1432]~E(x14321,x14322)+E(f516(x14321),f516(x14322)) % 199.49/199.86 [1433]~E(x14331,x14332)+E(f574(x14331,x14333,x14334,x14335,x14336,x14337,x14338),f574(x14332,x14333,x14334,x14335,x14336,x14337,x14338)) % 199.49/199.86 [1434]~E(x14341,x14342)+E(f574(x14343,x14341,x14344,x14345,x14346,x14347,x14348),f574(x14343,x14342,x14344,x14345,x14346,x14347,x14348)) % 199.49/199.86 [1435]~E(x14351,x14352)+E(f574(x14353,x14354,x14351,x14355,x14356,x14357,x14358),f574(x14353,x14354,x14352,x14355,x14356,x14357,x14358)) % 199.49/199.86 [1436]~E(x14361,x14362)+E(f574(x14363,x14364,x14365,x14361,x14366,x14367,x14368),f574(x14363,x14364,x14365,x14362,x14366,x14367,x14368)) % 199.49/199.86 [1437]~E(x14371,x14372)+E(f574(x14373,x14374,x14375,x14376,x14371,x14377,x14378),f574(x14373,x14374,x14375,x14376,x14372,x14377,x14378)) % 199.49/199.86 [1438]~E(x14381,x14382)+E(f574(x14383,x14384,x14385,x14386,x14387,x14381,x14388),f574(x14383,x14384,x14385,x14386,x14387,x14382,x14388)) % 199.49/199.86 [1439]~E(x14391,x14392)+E(f574(x14393,x14394,x14395,x14396,x14397,x14398,x14391),f574(x14393,x14394,x14395,x14396,x14397,x14398,x14392)) % 199.49/199.86 [1440]~E(x14401,x14402)+E(f390(x14401,x14403),f390(x14402,x14403)) % 199.49/199.86 [1441]~E(x14411,x14412)+E(f390(x14413,x14411),f390(x14413,x14412)) % 199.49/199.86 [1442]~E(x14421,x14422)+E(f374(x14421,x14423,x14424),f374(x14422,x14423,x14424)) % 199.49/199.86 [1443]~E(x14431,x14432)+E(f374(x14433,x14431,x14434),f374(x14433,x14432,x14434)) % 199.49/199.86 [1444]~E(x14441,x14442)+E(f374(x14443,x14444,x14441),f374(x14443,x14444,x14442)) % 199.49/199.86 [1445]~E(x14451,x14452)+E(f149(x14451,x14453),f149(x14452,x14453)) % 199.49/199.86 [1446]~E(x14461,x14462)+E(f149(x14463,x14461),f149(x14463,x14462)) % 199.49/199.86 [1447]~E(x14471,x14472)+E(f743(x14471,x14473,x14474,x14475,x14476,x14477,x14478,x14479),f743(x14472,x14473,x14474,x14475,x14476,x14477,x14478,x14479)) % 199.49/199.86 [1448]~E(x14481,x14482)+E(f743(x14483,x14481,x14484,x14485,x14486,x14487,x14488,x14489),f743(x14483,x14482,x14484,x14485,x14486,x14487,x14488,x14489)) % 199.49/199.86 [1449]~E(x14491,x14492)+E(f743(x14493,x14494,x14491,x14495,x14496,x14497,x14498,x14499),f743(x14493,x14494,x14492,x14495,x14496,x14497,x14498,x14499)) % 199.49/199.86 [1450]~E(x14501,x14502)+E(f743(x14503,x14504,x14505,x14501,x14506,x14507,x14508,x14509),f743(x14503,x14504,x14505,x14502,x14506,x14507,x14508,x14509)) % 199.49/199.86 [1451]~E(x14511,x14512)+E(f743(x14513,x14514,x14515,x14516,x14511,x14517,x14518,x14519),f743(x14513,x14514,x14515,x14516,x14512,x14517,x14518,x14519)) % 199.49/199.86 [1452]~E(x14521,x14522)+E(f743(x14523,x14524,x14525,x14526,x14527,x14521,x14528,x14529),f743(x14523,x14524,x14525,x14526,x14527,x14522,x14528,x14529)) % 199.49/199.86 [1453]~E(x14531,x14532)+E(f743(x14533,x14534,x14535,x14536,x14537,x14538,x14531,x14539),f743(x14533,x14534,x14535,x14536,x14537,x14538,x14532,x14539)) % 199.49/199.86 [1454]~E(x14541,x14542)+E(f743(x14543,x14544,x14545,x14546,x14547,x14548,x14549,x14541),f743(x14543,x14544,x14545,x14546,x14547,x14548,x14549,x14542)) % 199.49/199.86 [1455]~E(x14551,x14552)+E(f734(x14551,x14553,x14554,x14555),f734(x14552,x14553,x14554,x14555)) % 199.49/199.86 [1456]~E(x14561,x14562)+E(f734(x14563,x14561,x14564,x14565),f734(x14563,x14562,x14564,x14565)) % 199.49/199.86 [1457]~E(x14571,x14572)+E(f734(x14573,x14574,x14571,x14575),f734(x14573,x14574,x14572,x14575)) % 199.49/199.86 [1458]~E(x14581,x14582)+E(f734(x14583,x14584,x14585,x14581),f734(x14583,x14584,x14585,x14582)) % 199.49/199.86 [1459]~E(x14591,x14592)+E(f500(x14591,x14593,x14594,x14595,x14596),f500(x14592,x14593,x14594,x14595,x14596)) % 199.49/199.86 [1460]~E(x14601,x14602)+E(f500(x14603,x14601,x14604,x14605,x14606),f500(x14603,x14602,x14604,x14605,x14606)) % 199.49/199.86 [1461]~E(x14611,x14612)+E(f500(x14613,x14614,x14611,x14615,x14616),f500(x14613,x14614,x14612,x14615,x14616)) % 199.49/199.86 [1462]~E(x14621,x14622)+E(f500(x14623,x14624,x14625,x14621,x14626),f500(x14623,x14624,x14625,x14622,x14626)) % 199.49/199.86 [1463]~E(x14631,x14632)+E(f500(x14633,x14634,x14635,x14636,x14631),f500(x14633,x14634,x14635,x14636,x14632)) % 199.49/199.86 [1464]~E(x14641,x14642)+E(f75(x14641,x14643),f75(x14642,x14643)) % 199.49/199.86 [1465]~E(x14651,x14652)+E(f75(x14653,x14651),f75(x14653,x14652)) % 199.49/199.86 [1466]~E(x14661,x14662)+E(f518(x14661,x14663,x14664),f518(x14662,x14663,x14664)) % 199.49/199.86 [1467]~E(x14671,x14672)+E(f518(x14673,x14671,x14674),f518(x14673,x14672,x14674)) % 199.49/199.86 [1468]~E(x14681,x14682)+E(f518(x14683,x14684,x14681),f518(x14683,x14684,x14682)) % 199.49/199.86 [1469]~E(x14691,x14692)+E(f560(x14691,x14693,x14694,x14695,x14696),f560(x14692,x14693,x14694,x14695,x14696)) % 199.49/199.86 [1470]~E(x14701,x14702)+E(f560(x14703,x14701,x14704,x14705,x14706),f560(x14703,x14702,x14704,x14705,x14706)) % 199.49/199.86 [1471]~E(x14711,x14712)+E(f560(x14713,x14714,x14711,x14715,x14716),f560(x14713,x14714,x14712,x14715,x14716)) % 199.49/199.86 [1472]~E(x14721,x14722)+E(f560(x14723,x14724,x14725,x14721,x14726),f560(x14723,x14724,x14725,x14722,x14726)) % 199.49/199.86 [1473]~E(x14731,x14732)+E(f560(x14733,x14734,x14735,x14736,x14731),f560(x14733,x14734,x14735,x14736,x14732)) % 199.49/199.86 [1474]~E(x14741,x14742)+E(f298(x14741,x14743,x14744),f298(x14742,x14743,x14744)) % 199.49/199.86 [1475]~E(x14751,x14752)+E(f298(x14753,x14751,x14754),f298(x14753,x14752,x14754)) % 199.49/199.86 [1476]~E(x14761,x14762)+E(f298(x14763,x14764,x14761),f298(x14763,x14764,x14762)) % 199.49/199.86 [1477]~E(x14771,x14772)+E(f808(x14771,x14773,x14774,x14775),f808(x14772,x14773,x14774,x14775)) % 199.49/199.86 [1478]~E(x14781,x14782)+E(f808(x14783,x14781,x14784,x14785),f808(x14783,x14782,x14784,x14785)) % 199.49/199.86 [1479]~E(x14791,x14792)+E(f808(x14793,x14794,x14791,x14795),f808(x14793,x14794,x14792,x14795)) % 199.49/199.86 [1480]~E(x14801,x14802)+E(f808(x14803,x14804,x14805,x14801),f808(x14803,x14804,x14805,x14802)) % 199.49/199.86 [1481]~E(x14811,x14812)+E(f585(x14811,x14813,x14814),f585(x14812,x14813,x14814)) % 199.49/199.86 [1482]~E(x14821,x14822)+E(f585(x14823,x14821,x14824),f585(x14823,x14822,x14824)) % 199.49/199.86 [1483]~E(x14831,x14832)+E(f585(x14833,x14834,x14831),f585(x14833,x14834,x14832)) % 199.49/199.86 [1484]~E(x14841,x14842)+E(f761(x14841,x14843),f761(x14842,x14843)) % 199.49/199.86 [1485]~E(x14851,x14852)+E(f761(x14853,x14851),f761(x14853,x14852)) % 199.49/199.86 [1486]~E(x14861,x14862)+E(f895(x14861,x14863,x14864,x14865,x14866,x14867,x14868),f895(x14862,x14863,x14864,x14865,x14866,x14867,x14868)) % 199.49/199.86 [1487]~E(x14871,x14872)+E(f895(x14873,x14871,x14874,x14875,x14876,x14877,x14878),f895(x14873,x14872,x14874,x14875,x14876,x14877,x14878)) % 199.49/199.86 [1488]~E(x14881,x14882)+E(f895(x14883,x14884,x14881,x14885,x14886,x14887,x14888),f895(x14883,x14884,x14882,x14885,x14886,x14887,x14888)) % 199.49/199.86 [1489]~E(x14891,x14892)+E(f895(x14893,x14894,x14895,x14891,x14896,x14897,x14898),f895(x14893,x14894,x14895,x14892,x14896,x14897,x14898)) % 199.49/199.86 [1490]~E(x14901,x14902)+E(f895(x14903,x14904,x14905,x14906,x14901,x14907,x14908),f895(x14903,x14904,x14905,x14906,x14902,x14907,x14908)) % 199.49/199.86 [1491]~E(x14911,x14912)+E(f895(x14913,x14914,x14915,x14916,x14917,x14911,x14918),f895(x14913,x14914,x14915,x14916,x14917,x14912,x14918)) % 199.49/199.86 [1492]~E(x14921,x14922)+E(f895(x14923,x14924,x14925,x14926,x14927,x14928,x14921),f895(x14923,x14924,x14925,x14926,x14927,x14928,x14922)) % 199.49/199.86 [1493]~E(x14931,x14932)+E(f373(x14931,x14933,x14934),f373(x14932,x14933,x14934)) % 199.49/199.86 [1494]~E(x14941,x14942)+E(f373(x14943,x14941,x14944),f373(x14943,x14942,x14944)) % 199.49/199.86 [1495]~E(x14951,x14952)+E(f373(x14953,x14954,x14951),f373(x14953,x14954,x14952)) % 199.49/199.86 [1496]~E(x14961,x14962)+E(f584(x14961,x14963,x14964),f584(x14962,x14963,x14964)) % 199.49/199.86 [1497]~E(x14971,x14972)+E(f584(x14973,x14971,x14974),f584(x14973,x14972,x14974)) % 199.49/199.86 [1498]~E(x14981,x14982)+E(f584(x14983,x14984,x14981),f584(x14983,x14984,x14982)) % 199.49/199.86 [1499]~E(x14991,x14992)+E(f631(x14991,x14993,x14994,x14995,x14996),f631(x14992,x14993,x14994,x14995,x14996)) % 199.49/199.86 [1500]~E(x15001,x15002)+E(f631(x15003,x15001,x15004,x15005,x15006),f631(x15003,x15002,x15004,x15005,x15006)) % 199.49/199.86 [1501]~E(x15011,x15012)+E(f631(x15013,x15014,x15011,x15015,x15016),f631(x15013,x15014,x15012,x15015,x15016)) % 199.49/199.86 [1502]~E(x15021,x15022)+E(f631(x15023,x15024,x15025,x15021,x15026),f631(x15023,x15024,x15025,x15022,x15026)) % 199.49/199.86 [1503]~E(x15031,x15032)+E(f631(x15033,x15034,x15035,x15036,x15031),f631(x15033,x15034,x15035,x15036,x15032)) % 199.49/199.86 [1504]~E(x15041,x15042)+E(f343(x15041,x15043,x15044),f343(x15042,x15043,x15044)) % 199.49/199.86 [1505]~E(x15051,x15052)+E(f343(x15053,x15051,x15054),f343(x15053,x15052,x15054)) % 199.49/199.86 [1506]~E(x15061,x15062)+E(f343(x15063,x15064,x15061),f343(x15063,x15064,x15062)) % 199.49/199.86 [1507]~E(x15071,x15072)+E(f719(x15071,x15073),f719(x15072,x15073)) % 199.49/199.86 [1508]~E(x15081,x15082)+E(f719(x15083,x15081),f719(x15083,x15082)) % 199.49/199.86 [1509]~E(x15091,x15092)+E(f617(x15091,x15093,x15094),f617(x15092,x15093,x15094)) % 199.49/199.86 [1510]~E(x15101,x15102)+E(f617(x15103,x15101,x15104),f617(x15103,x15102,x15104)) % 199.49/199.86 [1511]~E(x15111,x15112)+E(f617(x15113,x15114,x15111),f617(x15113,x15114,x15112)) % 199.49/199.86 [1512]~E(x15121,x15122)+E(f440(x15121,x15123,x15124,x15125),f440(x15122,x15123,x15124,x15125)) % 199.49/199.86 [1513]~E(x15131,x15132)+E(f440(x15133,x15131,x15134,x15135),f440(x15133,x15132,x15134,x15135)) % 199.49/199.86 [1514]~E(x15141,x15142)+E(f440(x15143,x15144,x15141,x15145),f440(x15143,x15144,x15142,x15145)) % 199.49/199.86 [1515]~E(x15151,x15152)+E(f440(x15153,x15154,x15155,x15151),f440(x15153,x15154,x15155,x15152)) % 199.49/199.86 [1516]~E(x15161,x15162)+E(f479(x15161,x15163,x15164,x15165),f479(x15162,x15163,x15164,x15165)) % 199.49/199.86 [1517]~E(x15171,x15172)+E(f479(x15173,x15171,x15174,x15175),f479(x15173,x15172,x15174,x15175)) % 199.49/199.86 [1518]~E(x15181,x15182)+E(f479(x15183,x15184,x15181,x15185),f479(x15183,x15184,x15182,x15185)) % 199.49/199.86 [1519]~E(x15191,x15192)+E(f479(x15193,x15194,x15195,x15191),f479(x15193,x15194,x15195,x15192)) % 199.49/199.86 [1520]~E(x15201,x15202)+E(f717(x15201,x15203),f717(x15202,x15203)) % 199.49/199.86 [1521]~E(x15211,x15212)+E(f717(x15213,x15211),f717(x15213,x15212)) % 199.49/199.86 [1522]~E(x15221,x15222)+E(f581(x15221,x15223,x15224,x15225),f581(x15222,x15223,x15224,x15225)) % 199.49/199.86 [1523]~E(x15231,x15232)+E(f581(x15233,x15231,x15234,x15235),f581(x15233,x15232,x15234,x15235)) % 199.49/199.86 [1524]~E(x15241,x15242)+E(f581(x15243,x15244,x15241,x15245),f581(x15243,x15244,x15242,x15245)) % 199.49/199.86 [1525]~E(x15251,x15252)+E(f581(x15253,x15254,x15255,x15251),f581(x15253,x15254,x15255,x15252)) % 199.49/199.86 [1526]~E(x15261,x15262)+E(f745(x15261,x15263),f745(x15262,x15263)) % 199.49/199.86 [1527]~E(x15271,x15272)+E(f745(x15273,x15271),f745(x15273,x15272)) % 199.49/199.86 [1528]~E(x15281,x15282)+E(f383(x15281,x15283,x15284,x15285,x15286,x15287,x15288),f383(x15282,x15283,x15284,x15285,x15286,x15287,x15288)) % 199.49/199.86 [1529]~E(x15291,x15292)+E(f383(x15293,x15291,x15294,x15295,x15296,x15297,x15298),f383(x15293,x15292,x15294,x15295,x15296,x15297,x15298)) % 199.49/199.86 [1530]~E(x15301,x15302)+E(f383(x15303,x15304,x15301,x15305,x15306,x15307,x15308),f383(x15303,x15304,x15302,x15305,x15306,x15307,x15308)) % 199.49/199.86 [1531]~E(x15311,x15312)+E(f383(x15313,x15314,x15315,x15311,x15316,x15317,x15318),f383(x15313,x15314,x15315,x15312,x15316,x15317,x15318)) % 199.49/199.86 [1532]~E(x15321,x15322)+E(f383(x15323,x15324,x15325,x15326,x15321,x15327,x15328),f383(x15323,x15324,x15325,x15326,x15322,x15327,x15328)) % 199.49/199.86 [1533]~E(x15331,x15332)+E(f383(x15333,x15334,x15335,x15336,x15337,x15331,x15338),f383(x15333,x15334,x15335,x15336,x15337,x15332,x15338)) % 199.49/199.86 [1534]~E(x15341,x15342)+E(f383(x15343,x15344,x15345,x15346,x15347,x15348,x15341),f383(x15343,x15344,x15345,x15346,x15347,x15348,x15342)) % 199.49/199.86 [1535]~E(x15351,x15352)+E(f351(x15351,x15353,x15354),f351(x15352,x15353,x15354)) % 199.49/199.86 [1536]~E(x15361,x15362)+E(f351(x15363,x15361,x15364),f351(x15363,x15362,x15364)) % 199.49/199.86 [1537]~E(x15371,x15372)+E(f351(x15373,x15374,x15371),f351(x15373,x15374,x15372)) % 199.49/199.86 [1538]~E(x15381,x15382)+E(f547(x15381,x15383,x15384,x15385),f547(x15382,x15383,x15384,x15385)) % 199.49/199.86 [1539]~E(x15391,x15392)+E(f547(x15393,x15391,x15394,x15395),f547(x15393,x15392,x15394,x15395)) % 199.49/199.86 [1540]~E(x15401,x15402)+E(f547(x15403,x15404,x15401,x15405),f547(x15403,x15404,x15402,x15405)) % 199.49/199.86 [1541]~E(x15411,x15412)+E(f547(x15413,x15414,x15415,x15411),f547(x15413,x15414,x15415,x15412)) % 199.49/199.86 [1542]~E(x15421,x15422)+E(f227(x15421,x15423,x15424,x15425,x15426),f227(x15422,x15423,x15424,x15425,x15426)) % 199.49/199.86 [1543]~E(x15431,x15432)+E(f227(x15433,x15431,x15434,x15435,x15436),f227(x15433,x15432,x15434,x15435,x15436)) % 199.49/199.86 [1544]~E(x15441,x15442)+E(f227(x15443,x15444,x15441,x15445,x15446),f227(x15443,x15444,x15442,x15445,x15446)) % 199.49/199.86 [1545]~E(x15451,x15452)+E(f227(x15453,x15454,x15455,x15451,x15456),f227(x15453,x15454,x15455,x15452,x15456)) % 199.49/199.86 [1546]~E(x15461,x15462)+E(f227(x15463,x15464,x15465,x15466,x15461),f227(x15463,x15464,x15465,x15466,x15462)) % 199.49/199.86 [1547]~E(x15471,x15472)+E(f519(x15471,x15473,x15474),f519(x15472,x15473,x15474)) % 199.49/199.86 [1548]~E(x15481,x15482)+E(f519(x15483,x15481,x15484),f519(x15483,x15482,x15484)) % 199.49/199.86 [1549]~E(x15491,x15492)+E(f519(x15493,x15494,x15491),f519(x15493,x15494,x15492)) % 199.49/199.86 [1550]~E(x15501,x15502)+E(f917(x15501,x15503,x15504),f917(x15502,x15503,x15504)) % 199.49/199.86 [1551]~E(x15511,x15512)+E(f917(x15513,x15511,x15514),f917(x15513,x15512,x15514)) % 199.49/199.86 [1552]~E(x15521,x15522)+E(f917(x15523,x15524,x15521),f917(x15523,x15524,x15522)) % 199.49/199.86 [1553]~E(x15531,x15532)+E(f502(x15531,x15533,x15534,x15535,x15536),f502(x15532,x15533,x15534,x15535,x15536)) % 199.49/199.86 [1554]~E(x15541,x15542)+E(f502(x15543,x15541,x15544,x15545,x15546),f502(x15543,x15542,x15544,x15545,x15546)) % 199.49/199.86 [1555]~E(x15551,x15552)+E(f502(x15553,x15554,x15551,x15555,x15556),f502(x15553,x15554,x15552,x15555,x15556)) % 199.49/199.86 [1556]~E(x15561,x15562)+E(f502(x15563,x15564,x15565,x15561,x15566),f502(x15563,x15564,x15565,x15562,x15566)) % 199.49/199.86 [1557]~E(x15571,x15572)+E(f502(x15573,x15574,x15575,x15576,x15571),f502(x15573,x15574,x15575,x15576,x15572)) % 199.49/199.86 [1558]~E(x15581,x15582)+E(f625(x15581,x15583,x15584,x15585),f625(x15582,x15583,x15584,x15585)) % 199.49/199.86 [1559]~E(x15591,x15592)+E(f625(x15593,x15591,x15594,x15595),f625(x15593,x15592,x15594,x15595)) % 199.49/199.86 [1560]~E(x15601,x15602)+E(f625(x15603,x15604,x15601,x15605),f625(x15603,x15604,x15602,x15605)) % 199.49/199.86 [1561]~E(x15611,x15612)+E(f625(x15613,x15614,x15615,x15611),f625(x15613,x15614,x15615,x15612)) % 199.49/199.86 [1562]~E(x15621,x15622)+E(f636(x15621,x15623,x15624,x15625,x15626),f636(x15622,x15623,x15624,x15625,x15626)) % 199.49/199.86 [1563]~E(x15631,x15632)+E(f636(x15633,x15631,x15634,x15635,x15636),f636(x15633,x15632,x15634,x15635,x15636)) % 199.49/199.86 [1564]~E(x15641,x15642)+E(f636(x15643,x15644,x15641,x15645,x15646),f636(x15643,x15644,x15642,x15645,x15646)) % 199.49/199.86 [1565]~E(x15651,x15652)+E(f636(x15653,x15654,x15655,x15651,x15656),f636(x15653,x15654,x15655,x15652,x15656)) % 199.49/199.86 [1566]~E(x15661,x15662)+E(f636(x15663,x15664,x15665,x15666,x15661),f636(x15663,x15664,x15665,x15666,x15662)) % 199.49/199.86 [1567]~E(x15671,x15672)+E(f545(x15671,x15673),f545(x15672,x15673)) % 199.49/199.86 [1568]~E(x15681,x15682)+E(f545(x15683,x15681),f545(x15683,x15682)) % 199.49/199.86 [1569]~E(x15691,x15692)+E(f410(x15691,x15693,x15694,x15695),f410(x15692,x15693,x15694,x15695)) % 199.49/199.86 [1570]~E(x15701,x15702)+E(f410(x15703,x15701,x15704,x15705),f410(x15703,x15702,x15704,x15705)) % 199.49/199.86 [1571]~E(x15711,x15712)+E(f410(x15713,x15714,x15711,x15715),f410(x15713,x15714,x15712,x15715)) % 199.49/199.86 [1572]~E(x15721,x15722)+E(f410(x15723,x15724,x15725,x15721),f410(x15723,x15724,x15725,x15722)) % 199.49/199.86 [1573]~E(x15731,x15732)+E(f763(x15731,x15733,x15734),f763(x15732,x15733,x15734)) % 199.49/199.86 [1574]~E(x15741,x15742)+E(f763(x15743,x15741,x15744),f763(x15743,x15742,x15744)) % 199.49/199.86 [1575]~E(x15751,x15752)+E(f763(x15753,x15754,x15751),f763(x15753,x15754,x15752)) % 199.49/199.86 [1576]~E(x15761,x15762)+E(f798(x15761,x15763,x15764,x15765,x15766,x15767,x15768),f798(x15762,x15763,x15764,x15765,x15766,x15767,x15768)) % 199.49/199.86 [1577]~E(x15771,x15772)+E(f798(x15773,x15771,x15774,x15775,x15776,x15777,x15778),f798(x15773,x15772,x15774,x15775,x15776,x15777,x15778)) % 199.49/199.86 [1578]~E(x15781,x15782)+E(f798(x15783,x15784,x15781,x15785,x15786,x15787,x15788),f798(x15783,x15784,x15782,x15785,x15786,x15787,x15788)) % 199.49/199.86 [1579]~E(x15791,x15792)+E(f798(x15793,x15794,x15795,x15791,x15796,x15797,x15798),f798(x15793,x15794,x15795,x15792,x15796,x15797,x15798)) % 199.49/199.86 [1580]~E(x15801,x15802)+E(f798(x15803,x15804,x15805,x15806,x15801,x15807,x15808),f798(x15803,x15804,x15805,x15806,x15802,x15807,x15808)) % 199.49/199.86 [1581]~E(x15811,x15812)+E(f798(x15813,x15814,x15815,x15816,x15817,x15811,x15818),f798(x15813,x15814,x15815,x15816,x15817,x15812,x15818)) % 199.49/199.86 [1582]~E(x15821,x15822)+E(f798(x15823,x15824,x15825,x15826,x15827,x15828,x15821),f798(x15823,x15824,x15825,x15826,x15827,x15828,x15822)) % 199.49/199.86 [1583]~E(x15831,x15832)+E(f336(x15831),f336(x15832)) % 199.49/199.86 [1584]~E(x15841,x15842)+E(f275(x15841,x15843),f275(x15842,x15843)) % 199.49/199.86 [1585]~E(x15851,x15852)+E(f275(x15853,x15851),f275(x15853,x15852)) % 199.49/199.86 [1586]~E(x15861,x15862)+E(f914(x15861,x15863,x15864,x15865,x15866,x15867,x15868),f914(x15862,x15863,x15864,x15865,x15866,x15867,x15868)) % 199.49/199.86 [1587]~E(x15871,x15872)+E(f914(x15873,x15871,x15874,x15875,x15876,x15877,x15878),f914(x15873,x15872,x15874,x15875,x15876,x15877,x15878)) % 199.49/199.86 [1588]~E(x15881,x15882)+E(f914(x15883,x15884,x15881,x15885,x15886,x15887,x15888),f914(x15883,x15884,x15882,x15885,x15886,x15887,x15888)) % 199.49/199.86 [1589]~E(x15891,x15892)+E(f914(x15893,x15894,x15895,x15891,x15896,x15897,x15898),f914(x15893,x15894,x15895,x15892,x15896,x15897,x15898)) % 199.49/199.86 [1590]~E(x15901,x15902)+E(f914(x15903,x15904,x15905,x15906,x15901,x15907,x15908),f914(x15903,x15904,x15905,x15906,x15902,x15907,x15908)) % 199.49/199.86 [1591]~E(x15911,x15912)+E(f914(x15913,x15914,x15915,x15916,x15917,x15911,x15918),f914(x15913,x15914,x15915,x15916,x15917,x15912,x15918)) % 199.49/199.86 [1592]~E(x15921,x15922)+E(f914(x15923,x15924,x15925,x15926,x15927,x15928,x15921),f914(x15923,x15924,x15925,x15926,x15927,x15928,x15922)) % 199.49/199.86 [1593]~E(x15931,x15932)+E(f737(x15931,x15933),f737(x15932,x15933)) % 199.49/199.86 [1594]~E(x15941,x15942)+E(f737(x15943,x15941),f737(x15943,x15942)) % 199.49/199.86 [1595]~E(x15951,x15952)+E(f394(x15951,x15953,x15954),f394(x15952,x15953,x15954)) % 199.49/199.86 [1596]~E(x15961,x15962)+E(f394(x15963,x15961,x15964),f394(x15963,x15962,x15964)) % 199.49/199.86 [1597]~E(x15971,x15972)+E(f394(x15973,x15974,x15971),f394(x15973,x15974,x15972)) % 199.49/199.86 [1598]~E(x15981,x15982)+E(f450(x15981,x15983),f450(x15982,x15983)) % 199.49/199.86 [1599]~E(x15991,x15992)+E(f450(x15993,x15991),f450(x15993,x15992)) % 199.49/199.86 [1600]~E(x16001,x16002)+E(f293(x16001,x16003,x16004,x16005),f293(x16002,x16003,x16004,x16005)) % 199.49/199.86 [1601]~E(x16011,x16012)+E(f293(x16013,x16011,x16014,x16015),f293(x16013,x16012,x16014,x16015)) % 199.49/199.86 [1602]~E(x16021,x16022)+E(f293(x16023,x16024,x16021,x16025),f293(x16023,x16024,x16022,x16025)) % 199.49/199.86 [1603]~E(x16031,x16032)+E(f293(x16033,x16034,x16035,x16031),f293(x16033,x16034,x16035,x16032)) % 199.49/199.86 [1604]~E(x16041,x16042)+E(f685(x16041,x16043),f685(x16042,x16043)) % 199.49/199.86 [1605]~E(x16051,x16052)+E(f685(x16053,x16051),f685(x16053,x16052)) % 199.49/199.86 [1606]~E(x16061,x16062)+E(f283(x16061,x16063,x16064,x16065),f283(x16062,x16063,x16064,x16065)) % 199.49/199.86 [1607]~E(x16071,x16072)+E(f283(x16073,x16071,x16074,x16075),f283(x16073,x16072,x16074,x16075)) % 199.49/199.86 [1608]~E(x16081,x16082)+E(f283(x16083,x16084,x16081,x16085),f283(x16083,x16084,x16082,x16085)) % 199.49/199.86 [1609]~E(x16091,x16092)+E(f283(x16093,x16094,x16095,x16091),f283(x16093,x16094,x16095,x16092)) % 199.49/199.86 [1610]~E(x16101,x16102)+E(f240(x16101,x16103),f240(x16102,x16103)) % 199.49/199.86 [1611]~E(x16111,x16112)+E(f240(x16113,x16111),f240(x16113,x16112)) % 199.49/199.86 [1612]~E(x16121,x16122)+E(f652(x16121,x16123,x16124,x16125),f652(x16122,x16123,x16124,x16125)) % 199.49/199.86 [1613]~E(x16131,x16132)+E(f652(x16133,x16131,x16134,x16135),f652(x16133,x16132,x16134,x16135)) % 199.49/199.86 [1614]~E(x16141,x16142)+E(f652(x16143,x16144,x16141,x16145),f652(x16143,x16144,x16142,x16145)) % 199.49/199.86 [1615]~E(x16151,x16152)+E(f652(x16153,x16154,x16155,x16151),f652(x16153,x16154,x16155,x16152)) % 199.49/199.86 [1616]~E(x16161,x16162)+E(f682(x16161,x16163),f682(x16162,x16163)) % 199.49/199.86 [1617]~E(x16171,x16172)+E(f682(x16173,x16171),f682(x16173,x16172)) % 199.49/199.86 [1618]~E(x16181,x16182)+E(f281(x16181),f281(x16182)) % 199.49/199.86 [1619]~E(x16191,x16192)+E(f916(x16191,x16193,x16194,x16195,x16196,x16197,x16198),f916(x16192,x16193,x16194,x16195,x16196,x16197,x16198)) % 199.49/199.86 [1620]~E(x16201,x16202)+E(f916(x16203,x16201,x16204,x16205,x16206,x16207,x16208),f916(x16203,x16202,x16204,x16205,x16206,x16207,x16208)) % 199.49/199.86 [1621]~E(x16211,x16212)+E(f916(x16213,x16214,x16211,x16215,x16216,x16217,x16218),f916(x16213,x16214,x16212,x16215,x16216,x16217,x16218)) % 199.49/199.86 [1622]~E(x16221,x16222)+E(f916(x16223,x16224,x16225,x16221,x16226,x16227,x16228),f916(x16223,x16224,x16225,x16222,x16226,x16227,x16228)) % 199.49/199.86 [1623]~E(x16231,x16232)+E(f916(x16233,x16234,x16235,x16236,x16231,x16237,x16238),f916(x16233,x16234,x16235,x16236,x16232,x16237,x16238)) % 199.49/199.86 [1624]~E(x16241,x16242)+E(f916(x16243,x16244,x16245,x16246,x16247,x16241,x16248),f916(x16243,x16244,x16245,x16246,x16247,x16242,x16248)) % 199.49/199.86 [1625]~E(x16251,x16252)+E(f916(x16253,x16254,x16255,x16256,x16257,x16258,x16251),f916(x16253,x16254,x16255,x16256,x16257,x16258,x16252)) % 199.49/199.86 [1626]~E(x16261,x16262)+E(f419(x16261,x16263,x16264,x16265,x16266),f419(x16262,x16263,x16264,x16265,x16266)) % 199.49/199.86 [1627]~E(x16271,x16272)+E(f419(x16273,x16271,x16274,x16275,x16276),f419(x16273,x16272,x16274,x16275,x16276)) % 199.49/199.86 [1628]~E(x16281,x16282)+E(f419(x16283,x16284,x16281,x16285,x16286),f419(x16283,x16284,x16282,x16285,x16286)) % 199.49/199.86 [1629]~E(x16291,x16292)+E(f419(x16293,x16294,x16295,x16291,x16296),f419(x16293,x16294,x16295,x16292,x16296)) % 199.49/199.86 [1630]~E(x16301,x16302)+E(f419(x16303,x16304,x16305,x16306,x16301),f419(x16303,x16304,x16305,x16306,x16302)) % 199.49/199.86 [1631]~E(x16311,x16312)+E(f810(x16311,x16313,x16314,x16315,x16316),f810(x16312,x16313,x16314,x16315,x16316)) % 199.49/199.86 [1632]~E(x16321,x16322)+E(f810(x16323,x16321,x16324,x16325,x16326),f810(x16323,x16322,x16324,x16325,x16326)) % 199.49/199.86 [1633]~E(x16331,x16332)+E(f810(x16333,x16334,x16331,x16335,x16336),f810(x16333,x16334,x16332,x16335,x16336)) % 199.49/199.86 [1634]~E(x16341,x16342)+E(f810(x16343,x16344,x16345,x16341,x16346),f810(x16343,x16344,x16345,x16342,x16346)) % 199.49/199.86 [1635]~E(x16351,x16352)+E(f810(x16353,x16354,x16355,x16356,x16351),f810(x16353,x16354,x16355,x16356,x16352)) % 199.49/199.86 [1636]~E(x16361,x16362)+E(f401(x16361,x16363,x16364),f401(x16362,x16363,x16364)) % 199.49/199.86 [1637]~E(x16371,x16372)+E(f401(x16373,x16371,x16374),f401(x16373,x16372,x16374)) % 199.49/199.86 [1638]~E(x16381,x16382)+E(f401(x16383,x16384,x16381),f401(x16383,x16384,x16382)) % 199.49/199.86 [1639]~E(x16391,x16392)+E(f251(x16391,x16393),f251(x16392,x16393)) % 199.49/199.86 [1640]~E(x16401,x16402)+E(f251(x16403,x16401),f251(x16403,x16402)) % 199.49/199.86 [1641]~E(x16411,x16412)+E(f609(x16411,x16413,x16414),f609(x16412,x16413,x16414)) % 199.49/199.86 [1642]~E(x16421,x16422)+E(f609(x16423,x16421,x16424),f609(x16423,x16422,x16424)) % 199.49/199.86 [1643]~E(x16431,x16432)+E(f609(x16433,x16434,x16431),f609(x16433,x16434,x16432)) % 199.49/199.86 [1644]~E(x16441,x16442)+E(f672(x16441,x16443,x16444,x16445),f672(x16442,x16443,x16444,x16445)) % 199.49/199.86 [1645]~E(x16451,x16452)+E(f672(x16453,x16451,x16454,x16455),f672(x16453,x16452,x16454,x16455)) % 199.49/199.86 [1646]~E(x16461,x16462)+E(f672(x16463,x16464,x16461,x16465),f672(x16463,x16464,x16462,x16465)) % 199.49/199.86 [1647]~E(x16471,x16472)+E(f672(x16473,x16474,x16475,x16471),f672(x16473,x16474,x16475,x16472)) % 199.49/199.86 [1648]~E(x16481,x16482)+E(f355(x16481,x16483,x16484),f355(x16482,x16483,x16484)) % 199.49/199.86 [1649]~E(x16491,x16492)+E(f355(x16493,x16491,x16494),f355(x16493,x16492,x16494)) % 199.49/199.86 [1650]~E(x16501,x16502)+E(f355(x16503,x16504,x16501),f355(x16503,x16504,x16502)) % 199.49/199.86 [1651]~E(x16511,x16512)+E(f278(x16511,x16513),f278(x16512,x16513)) % 199.49/199.86 [1652]~E(x16521,x16522)+E(f278(x16523,x16521),f278(x16523,x16522)) % 199.49/199.86 [1653]~E(x16531,x16532)+E(f797(x16531,x16533,x16534,x16535,x16536,x16537,x16538),f797(x16532,x16533,x16534,x16535,x16536,x16537,x16538)) % 199.49/199.86 [1654]~E(x16541,x16542)+E(f797(x16543,x16541,x16544,x16545,x16546,x16547,x16548),f797(x16543,x16542,x16544,x16545,x16546,x16547,x16548)) % 199.49/199.86 [1655]~E(x16551,x16552)+E(f797(x16553,x16554,x16551,x16555,x16556,x16557,x16558),f797(x16553,x16554,x16552,x16555,x16556,x16557,x16558)) % 199.49/199.86 [1656]~E(x16561,x16562)+E(f797(x16563,x16564,x16565,x16561,x16566,x16567,x16568),f797(x16563,x16564,x16565,x16562,x16566,x16567,x16568)) % 199.49/199.86 [1657]~E(x16571,x16572)+E(f797(x16573,x16574,x16575,x16576,x16571,x16577,x16578),f797(x16573,x16574,x16575,x16576,x16572,x16577,x16578)) % 199.49/199.86 [1658]~E(x16581,x16582)+E(f797(x16583,x16584,x16585,x16586,x16587,x16581,x16588),f797(x16583,x16584,x16585,x16586,x16587,x16582,x16588)) % 199.49/199.86 [1659]~E(x16591,x16592)+E(f797(x16593,x16594,x16595,x16596,x16597,x16598,x16591),f797(x16593,x16594,x16595,x16596,x16597,x16598,x16592)) % 199.49/199.86 [1660]~E(x16601,x16602)+E(f790(x16601,x16603,x16604,x16605),f790(x16602,x16603,x16604,x16605)) % 199.49/199.86 [1661]~E(x16611,x16612)+E(f790(x16613,x16611,x16614,x16615),f790(x16613,x16612,x16614,x16615)) % 199.49/199.86 [1662]~E(x16621,x16622)+E(f790(x16623,x16624,x16621,x16625),f790(x16623,x16624,x16622,x16625)) % 199.49/199.86 [1663]~E(x16631,x16632)+E(f790(x16633,x16634,x16635,x16631),f790(x16633,x16634,x16635,x16632)) % 199.49/199.86 [1664]~E(x16641,x16642)+E(f491(x16641,x16643,x16644,x16645,x16646,x16647),f491(x16642,x16643,x16644,x16645,x16646,x16647)) % 199.49/199.86 [1665]~E(x16651,x16652)+E(f491(x16653,x16651,x16654,x16655,x16656,x16657),f491(x16653,x16652,x16654,x16655,x16656,x16657)) % 199.49/199.86 [1666]~E(x16661,x16662)+E(f491(x16663,x16664,x16661,x16665,x16666,x16667),f491(x16663,x16664,x16662,x16665,x16666,x16667)) % 199.49/199.86 [1667]~E(x16671,x16672)+E(f491(x16673,x16674,x16675,x16671,x16676,x16677),f491(x16673,x16674,x16675,x16672,x16676,x16677)) % 199.49/199.86 [1668]~E(x16681,x16682)+E(f491(x16683,x16684,x16685,x16686,x16681,x16687),f491(x16683,x16684,x16685,x16686,x16682,x16687)) % 199.49/199.86 [1669]~E(x16691,x16692)+E(f491(x16693,x16694,x16695,x16696,x16697,x16691),f491(x16693,x16694,x16695,x16696,x16697,x16692)) % 199.49/199.86 [1670]~E(x16701,x16702)+E(f727(x16701,x16703),f727(x16702,x16703)) % 199.49/199.86 [1671]~E(x16711,x16712)+E(f727(x16713,x16711),f727(x16713,x16712)) % 199.49/199.86 [1672]~E(x16721,x16722)+E(f677(x16721,x16723),f677(x16722,x16723)) % 199.49/199.86 [1673]~E(x16731,x16732)+E(f677(x16733,x16731),f677(x16733,x16732)) % 199.49/199.86 [1674]~E(x16741,x16742)+E(f660(x16741,x16743,x16744,x16745),f660(x16742,x16743,x16744,x16745)) % 199.49/199.86 [1675]~E(x16751,x16752)+E(f660(x16753,x16751,x16754,x16755),f660(x16753,x16752,x16754,x16755)) % 199.49/199.86 [1676]~E(x16761,x16762)+E(f660(x16763,x16764,x16761,x16765),f660(x16763,x16764,x16762,x16765)) % 199.49/199.86 [1677]~E(x16771,x16772)+E(f660(x16773,x16774,x16775,x16771),f660(x16773,x16774,x16775,x16772)) % 199.49/199.86 [1678]~E(x16781,x16782)+E(f848(x16781,x16783,x16784,x16785,x16786),f848(x16782,x16783,x16784,x16785,x16786)) % 199.49/199.86 [1679]~E(x16791,x16792)+E(f848(x16793,x16791,x16794,x16795,x16796),f848(x16793,x16792,x16794,x16795,x16796)) % 199.49/199.86 [1680]~E(x16801,x16802)+E(f848(x16803,x16804,x16801,x16805,x16806),f848(x16803,x16804,x16802,x16805,x16806)) % 199.49/199.86 [1681]~E(x16811,x16812)+E(f848(x16813,x16814,x16815,x16811,x16816),f848(x16813,x16814,x16815,x16812,x16816)) % 199.49/199.86 [1682]~E(x16821,x16822)+E(f848(x16823,x16824,x16825,x16826,x16821),f848(x16823,x16824,x16825,x16826,x16822)) % 199.49/199.86 [1683]~E(x16831,x16832)+E(f896(x16831,x16833,x16834,x16835),f896(x16832,x16833,x16834,x16835)) % 199.49/199.86 [1684]~E(x16841,x16842)+E(f896(x16843,x16841,x16844,x16845),f896(x16843,x16842,x16844,x16845)) % 199.49/199.86 [1685]~E(x16851,x16852)+E(f896(x16853,x16854,x16851,x16855),f896(x16853,x16854,x16852,x16855)) % 199.49/199.86 [1686]~E(x16861,x16862)+E(f896(x16863,x16864,x16865,x16861),f896(x16863,x16864,x16865,x16862)) % 199.49/199.86 [1687]~E(x16871,x16872)+E(f300(x16871,x16873,x16874,x16875,x16876),f300(x16872,x16873,x16874,x16875,x16876)) % 199.49/199.86 [1688]~E(x16881,x16882)+E(f300(x16883,x16881,x16884,x16885,x16886),f300(x16883,x16882,x16884,x16885,x16886)) % 199.49/199.86 [1689]~E(x16891,x16892)+E(f300(x16893,x16894,x16891,x16895,x16896),f300(x16893,x16894,x16892,x16895,x16896)) % 199.49/199.86 [1690]~E(x16901,x16902)+E(f300(x16903,x16904,x16905,x16901,x16906),f300(x16903,x16904,x16905,x16902,x16906)) % 199.49/199.86 [1691]~E(x16911,x16912)+E(f300(x16913,x16914,x16915,x16916,x16911),f300(x16913,x16914,x16915,x16916,x16912)) % 199.49/199.86 [1692]~E(x16921,x16922)+E(f580(x16921,x16923),f580(x16922,x16923)) % 199.49/199.86 [1693]~E(x16931,x16932)+E(f580(x16933,x16931),f580(x16933,x16932)) % 199.49/199.86 [1694]~E(x16941,x16942)+E(f604(x16941,x16943,x16944,x16945),f604(x16942,x16943,x16944,x16945)) % 199.49/199.86 [1695]~E(x16951,x16952)+E(f604(x16953,x16951,x16954,x16955),f604(x16953,x16952,x16954,x16955)) % 199.49/199.86 [1696]~E(x16961,x16962)+E(f604(x16963,x16964,x16961,x16965),f604(x16963,x16964,x16962,x16965)) % 199.49/199.86 [1697]~E(x16971,x16972)+E(f604(x16973,x16974,x16975,x16971),f604(x16973,x16974,x16975,x16972)) % 199.49/199.86 [1698]~E(x16981,x16982)+E(f366(x16981,x16983,x16984,x16985),f366(x16982,x16983,x16984,x16985)) % 199.49/199.86 [1699]~E(x16991,x16992)+E(f366(x16993,x16991,x16994,x16995),f366(x16993,x16992,x16994,x16995)) % 199.49/199.86 [1700]~E(x17001,x17002)+E(f366(x17003,x17004,x17001,x17005),f366(x17003,x17004,x17002,x17005)) % 199.49/199.86 [1701]~E(x17011,x17012)+E(f366(x17013,x17014,x17015,x17011),f366(x17013,x17014,x17015,x17012)) % 199.49/199.86 [1702]~E(x17021,x17022)+E(f228(x17021,x17023,x17024,x17025,x17026),f228(x17022,x17023,x17024,x17025,x17026)) % 199.49/199.86 [1703]~E(x17031,x17032)+E(f228(x17033,x17031,x17034,x17035,x17036),f228(x17033,x17032,x17034,x17035,x17036)) % 199.49/199.86 [1704]~E(x17041,x17042)+E(f228(x17043,x17044,x17041,x17045,x17046),f228(x17043,x17044,x17042,x17045,x17046)) % 199.49/199.86 [1705]~E(x17051,x17052)+E(f228(x17053,x17054,x17055,x17051,x17056),f228(x17053,x17054,x17055,x17052,x17056)) % 199.49/199.86 [1706]~E(x17061,x17062)+E(f228(x17063,x17064,x17065,x17066,x17061),f228(x17063,x17064,x17065,x17066,x17062)) % 199.49/199.86 [1707]~E(x17071,x17072)+E(f197(x17071,x17073),f197(x17072,x17073)) % 199.49/199.86 [1708]~E(x17081,x17082)+E(f197(x17083,x17081),f197(x17083,x17082)) % 199.49/199.86 [1709]~E(x17091,x17092)+E(f735(x17091,x17093,x17094,x17095),f735(x17092,x17093,x17094,x17095)) % 199.49/199.86 [1710]~E(x17101,x17102)+E(f735(x17103,x17101,x17104,x17105),f735(x17103,x17102,x17104,x17105)) % 199.49/199.86 [1711]~E(x17111,x17112)+E(f735(x17113,x17114,x17111,x17115),f735(x17113,x17114,x17112,x17115)) % 199.49/199.86 [1712]~E(x17121,x17122)+E(f735(x17123,x17124,x17125,x17121),f735(x17123,x17124,x17125,x17122)) % 199.49/199.86 [1713]~E(x17131,x17132)+E(f520(x17131,x17133,x17134),f520(x17132,x17133,x17134)) % 199.49/199.86 [1714]~E(x17141,x17142)+E(f520(x17143,x17141,x17144),f520(x17143,x17142,x17144)) % 199.49/199.86 [1715]~E(x17151,x17152)+E(f520(x17153,x17154,x17151),f520(x17153,x17154,x17152)) % 199.49/199.86 [1716]~E(x17161,x17162)+E(f126(x17161),f126(x17162)) % 199.49/199.86 [1717]~E(x17171,x17172)+E(f801(x17171,x17173,x17174,x17175,x17176,x17177,x17178),f801(x17172,x17173,x17174,x17175,x17176,x17177,x17178)) % 199.49/199.86 [1718]~E(x17181,x17182)+E(f801(x17183,x17181,x17184,x17185,x17186,x17187,x17188),f801(x17183,x17182,x17184,x17185,x17186,x17187,x17188)) % 199.49/199.86 [1719]~E(x17191,x17192)+E(f801(x17193,x17194,x17191,x17195,x17196,x17197,x17198),f801(x17193,x17194,x17192,x17195,x17196,x17197,x17198)) % 199.49/199.86 [1720]~E(x17201,x17202)+E(f801(x17203,x17204,x17205,x17201,x17206,x17207,x17208),f801(x17203,x17204,x17205,x17202,x17206,x17207,x17208)) % 199.49/199.86 [1721]~E(x17211,x17212)+E(f801(x17213,x17214,x17215,x17216,x17211,x17217,x17218),f801(x17213,x17214,x17215,x17216,x17212,x17217,x17218)) % 199.49/199.86 [1722]~E(x17221,x17222)+E(f801(x17223,x17224,x17225,x17226,x17227,x17221,x17228),f801(x17223,x17224,x17225,x17226,x17227,x17222,x17228)) % 199.49/199.86 [1723]~E(x17231,x17232)+E(f801(x17233,x17234,x17235,x17236,x17237,x17238,x17231),f801(x17233,x17234,x17235,x17236,x17237,x17238,x17232)) % 199.49/199.86 [1724]~E(x17241,x17242)+E(f557(x17241,x17243,x17244,x17245,x17246,x17247),f557(x17242,x17243,x17244,x17245,x17246,x17247)) % 199.49/199.86 [1725]~E(x17251,x17252)+E(f557(x17253,x17251,x17254,x17255,x17256,x17257),f557(x17253,x17252,x17254,x17255,x17256,x17257)) % 199.49/199.86 [1726]~E(x17261,x17262)+E(f557(x17263,x17264,x17261,x17265,x17266,x17267),f557(x17263,x17264,x17262,x17265,x17266,x17267)) % 199.49/199.86 [1727]~E(x17271,x17272)+E(f557(x17273,x17274,x17275,x17271,x17276,x17277),f557(x17273,x17274,x17275,x17272,x17276,x17277)) % 199.49/199.86 [1728]~E(x17281,x17282)+E(f557(x17283,x17284,x17285,x17286,x17281,x17287),f557(x17283,x17284,x17285,x17286,x17282,x17287)) % 199.49/199.86 [1729]~E(x17291,x17292)+E(f557(x17293,x17294,x17295,x17296,x17297,x17291),f557(x17293,x17294,x17295,x17296,x17297,x17292)) % 199.49/199.86 [1730]~E(x17301,x17302)+E(f231(x17301,x17303),f231(x17302,x17303)) % 199.49/199.86 [1731]~E(x17311,x17312)+E(f231(x17313,x17311),f231(x17313,x17312)) % 199.49/199.86 [1732]~E(x17321,x17322)+E(f406(x17321,x17323),f406(x17322,x17323)) % 199.49/199.86 [1733]~E(x17331,x17332)+E(f406(x17333,x17331),f406(x17333,x17332)) % 199.49/199.86 [1734]~E(x17341,x17342)+E(f334(x17341,x17343,x17344,x17345),f334(x17342,x17343,x17344,x17345)) % 199.49/199.86 [1735]~E(x17351,x17352)+E(f334(x17353,x17351,x17354,x17355),f334(x17353,x17352,x17354,x17355)) % 199.49/199.86 [1736]~E(x17361,x17362)+E(f334(x17363,x17364,x17361,x17365),f334(x17363,x17364,x17362,x17365)) % 199.49/199.86 [1737]~E(x17371,x17372)+E(f334(x17373,x17374,x17375,x17371),f334(x17373,x17374,x17375,x17372)) % 199.49/199.86 [1738]~E(x17381,x17382)+E(f494(x17381,x17383,x17384),f494(x17382,x17383,x17384)) % 199.49/199.86 [1739]~E(x17391,x17392)+E(f494(x17393,x17391,x17394),f494(x17393,x17392,x17394)) % 199.49/199.86 [1740]~E(x17401,x17402)+E(f494(x17403,x17404,x17401),f494(x17403,x17404,x17402)) % 199.49/199.86 [1741]~E(x17411,x17412)+E(f626(x17411,x17413),f626(x17412,x17413)) % 199.49/199.86 [1742]~E(x17421,x17422)+E(f626(x17423,x17421),f626(x17423,x17422)) % 199.49/199.86 [1743]~E(x17431,x17432)+E(f454(x17431,x17433,x17434),f454(x17432,x17433,x17434)) % 199.49/199.86 [1744]~E(x17441,x17442)+E(f454(x17443,x17441,x17444),f454(x17443,x17442,x17444)) % 199.49/199.86 [1745]~E(x17451,x17452)+E(f454(x17453,x17454,x17451),f454(x17453,x17454,x17452)) % 199.49/199.86 [1746]~E(x17461,x17462)+E(f614(x17461,x17463,x17464),f614(x17462,x17463,x17464)) % 199.49/199.86 [1747]~E(x17471,x17472)+E(f614(x17473,x17471,x17474),f614(x17473,x17472,x17474)) % 199.49/199.86 [1748]~E(x17481,x17482)+E(f614(x17483,x17484,x17481),f614(x17483,x17484,x17482)) % 199.49/199.86 [1749]~E(x17491,x17492)+E(f899(x17491,x17493,x17494,x17495,x17496),f899(x17492,x17493,x17494,x17495,x17496)) % 199.49/199.86 [1750]~E(x17501,x17502)+E(f899(x17503,x17501,x17504,x17505,x17506),f899(x17503,x17502,x17504,x17505,x17506)) % 199.49/199.86 [1751]~E(x17511,x17512)+E(f899(x17513,x17514,x17511,x17515,x17516),f899(x17513,x17514,x17512,x17515,x17516)) % 199.49/199.86 [1752]~E(x17521,x17522)+E(f899(x17523,x17524,x17525,x17521,x17526),f899(x17523,x17524,x17525,x17522,x17526)) % 199.49/199.86 [1753]~E(x17531,x17532)+E(f899(x17533,x17534,x17535,x17536,x17531),f899(x17533,x17534,x17535,x17536,x17532)) % 199.49/199.86 [1754]~E(x17541,x17542)+E(f591(x17541,x17543,x17544,x17545,x17546,x17547),f591(x17542,x17543,x17544,x17545,x17546,x17547)) % 199.49/199.86 [1755]~E(x17551,x17552)+E(f591(x17553,x17551,x17554,x17555,x17556,x17557),f591(x17553,x17552,x17554,x17555,x17556,x17557)) % 199.49/199.86 [1756]~E(x17561,x17562)+E(f591(x17563,x17564,x17561,x17565,x17566,x17567),f591(x17563,x17564,x17562,x17565,x17566,x17567)) % 199.49/199.86 [1757]~E(x17571,x17572)+E(f591(x17573,x17574,x17575,x17571,x17576,x17577),f591(x17573,x17574,x17575,x17572,x17576,x17577)) % 199.49/199.86 [1758]~E(x17581,x17582)+E(f591(x17583,x17584,x17585,x17586,x17581,x17587),f591(x17583,x17584,x17585,x17586,x17582,x17587)) % 199.49/199.86 [1759]~E(x17591,x17592)+E(f591(x17593,x17594,x17595,x17596,x17597,x17591),f591(x17593,x17594,x17595,x17596,x17597,x17592)) % 199.49/199.86 [1760]~E(x17601,x17602)+E(f582(x17601,x17603,x17604),f582(x17602,x17603,x17604)) % 199.49/199.86 [1761]~E(x17611,x17612)+E(f582(x17613,x17611,x17614),f582(x17613,x17612,x17614)) % 199.49/199.86 [1762]~E(x17621,x17622)+E(f582(x17623,x17624,x17621),f582(x17623,x17624,x17622)) % 199.49/199.86 [1763]~E(x17631,x17632)+E(f477(x17631,x17633,x17634),f477(x17632,x17633,x17634)) % 199.49/199.86 [1764]~E(x17641,x17642)+E(f477(x17643,x17641,x17644),f477(x17643,x17642,x17644)) % 199.49/199.86 [1765]~E(x17651,x17652)+E(f477(x17653,x17654,x17651),f477(x17653,x17654,x17652)) % 199.49/199.86 [1766]~E(x17661,x17662)+E(f695(x17661,x17663,x17664,x17665),f695(x17662,x17663,x17664,x17665)) % 199.49/199.86 [1767]~E(x17671,x17672)+E(f695(x17673,x17671,x17674,x17675),f695(x17673,x17672,x17674,x17675)) % 199.49/199.86 [1768]~E(x17681,x17682)+E(f695(x17683,x17684,x17681,x17685),f695(x17683,x17684,x17682,x17685)) % 199.49/199.86 [1769]~E(x17691,x17692)+E(f695(x17693,x17694,x17695,x17691),f695(x17693,x17694,x17695,x17692)) % 199.49/199.86 [1770]~E(x17701,x17702)+E(f837(x17701,x17703,x17704,x17705),f837(x17702,x17703,x17704,x17705)) % 199.49/199.86 [1771]~E(x17711,x17712)+E(f837(x17713,x17711,x17714,x17715),f837(x17713,x17712,x17714,x17715)) % 199.49/199.86 [1772]~E(x17721,x17722)+E(f837(x17723,x17724,x17721,x17725),f837(x17723,x17724,x17722,x17725)) % 199.49/199.86 [1773]~E(x17731,x17732)+E(f837(x17733,x17734,x17735,x17731),f837(x17733,x17734,x17735,x17732)) % 199.49/199.86 [1774]~E(x17741,x17742)+E(f472(x17741,x17743),f472(x17742,x17743)) % 199.49/199.86 [1775]~E(x17751,x17752)+E(f472(x17753,x17751),f472(x17753,x17752)) % 199.49/199.86 [1776]~E(x17761,x17762)+E(f385(x17761,x17763,x17764,x17765,x17766,x17767,x17768),f385(x17762,x17763,x17764,x17765,x17766,x17767,x17768)) % 199.49/199.86 [1777]~E(x17771,x17772)+E(f385(x17773,x17771,x17774,x17775,x17776,x17777,x17778),f385(x17773,x17772,x17774,x17775,x17776,x17777,x17778)) % 199.49/199.86 [1778]~E(x17781,x17782)+E(f385(x17783,x17784,x17781,x17785,x17786,x17787,x17788),f385(x17783,x17784,x17782,x17785,x17786,x17787,x17788)) % 199.49/199.86 [1779]~E(x17791,x17792)+E(f385(x17793,x17794,x17795,x17791,x17796,x17797,x17798),f385(x17793,x17794,x17795,x17792,x17796,x17797,x17798)) % 199.49/199.86 [1780]~E(x17801,x17802)+E(f385(x17803,x17804,x17805,x17806,x17801,x17807,x17808),f385(x17803,x17804,x17805,x17806,x17802,x17807,x17808)) % 199.49/199.86 [1781]~E(x17811,x17812)+E(f385(x17813,x17814,x17815,x17816,x17817,x17811,x17818),f385(x17813,x17814,x17815,x17816,x17817,x17812,x17818)) % 199.49/199.86 [1782]~E(x17821,x17822)+E(f385(x17823,x17824,x17825,x17826,x17827,x17828,x17821),f385(x17823,x17824,x17825,x17826,x17827,x17828,x17822)) % 199.49/199.86 [1783]~E(x17831,x17832)+E(f620(x17831,x17833,x17834),f620(x17832,x17833,x17834)) % 199.49/199.86 [1784]~E(x17841,x17842)+E(f620(x17843,x17841,x17844),f620(x17843,x17842,x17844)) % 199.49/199.86 [1785]~E(x17851,x17852)+E(f620(x17853,x17854,x17851),f620(x17853,x17854,x17852)) % 199.49/199.86 [1786]~E(x17861,x17862)+E(f619(x17861,x17863,x17864),f619(x17862,x17863,x17864)) % 199.49/199.86 [1787]~E(x17871,x17872)+E(f619(x17873,x17871,x17874),f619(x17873,x17872,x17874)) % 199.49/199.86 [1788]~E(x17881,x17882)+E(f619(x17883,x17884,x17881),f619(x17883,x17884,x17882)) % 199.49/199.86 [1789]~E(x17891,x17892)+E(f417(x17891,x17893),f417(x17892,x17893)) % 199.49/199.86 [1790]~E(x17901,x17902)+E(f417(x17903,x17901),f417(x17903,x17902)) % 199.49/199.86 [1791]~E(x17911,x17912)+E(f233(x17911,x17913,x17914,x17915),f233(x17912,x17913,x17914,x17915)) % 199.49/199.86 [1792]~E(x17921,x17922)+E(f233(x17923,x17921,x17924,x17925),f233(x17923,x17922,x17924,x17925)) % 199.49/199.86 [1793]~E(x17931,x17932)+E(f233(x17933,x17934,x17931,x17935),f233(x17933,x17934,x17932,x17935)) % 199.49/199.86 [1794]~E(x17941,x17942)+E(f233(x17943,x17944,x17945,x17941),f233(x17943,x17944,x17945,x17942)) % 199.49/199.86 [1795]~E(x17951,x17952)+E(f403(x17951),f403(x17952)) % 199.49/199.86 [1796]~E(x17961,x17962)+E(f421(x17961,x17963,x17964,x17965,x17966),f421(x17962,x17963,x17964,x17965,x17966)) % 199.49/199.86 [1797]~E(x17971,x17972)+E(f421(x17973,x17971,x17974,x17975,x17976),f421(x17973,x17972,x17974,x17975,x17976)) % 199.49/199.86 [1798]~E(x17981,x17982)+E(f421(x17983,x17984,x17981,x17985,x17986),f421(x17983,x17984,x17982,x17985,x17986)) % 199.49/199.86 [1799]~E(x17991,x17992)+E(f421(x17993,x17994,x17995,x17991,x17996),f421(x17993,x17994,x17995,x17992,x17996)) % 199.49/199.86 [1800]~E(x18001,x18002)+E(f421(x18003,x18004,x18005,x18006,x18001),f421(x18003,x18004,x18005,x18006,x18002)) % 199.49/199.86 [1801]~E(x18011,x18012)+E(f647(x18011,x18013,x18014),f647(x18012,x18013,x18014)) % 199.49/199.86 [1802]~E(x18021,x18022)+E(f647(x18023,x18021,x18024),f647(x18023,x18022,x18024)) % 199.49/199.86 [1803]~E(x18031,x18032)+E(f647(x18033,x18034,x18031),f647(x18033,x18034,x18032)) % 199.49/199.86 [1804]~E(x18041,x18042)+E(f455(x18041,x18043,x18044,x18045),f455(x18042,x18043,x18044,x18045)) % 199.49/199.86 [1805]~E(x18051,x18052)+E(f455(x18053,x18051,x18054,x18055),f455(x18053,x18052,x18054,x18055)) % 199.49/199.86 [1806]~E(x18061,x18062)+E(f455(x18063,x18064,x18061,x18065),f455(x18063,x18064,x18062,x18065)) % 199.49/199.86 [1807]~E(x18071,x18072)+E(f455(x18073,x18074,x18075,x18071),f455(x18073,x18074,x18075,x18072)) % 199.49/199.86 [1808]~E(x18081,x18082)+E(f213(x18081,x18083,x18084,x18085),f213(x18082,x18083,x18084,x18085)) % 199.49/199.86 [1809]~E(x18091,x18092)+E(f213(x18093,x18091,x18094,x18095),f213(x18093,x18092,x18094,x18095)) % 199.49/199.86 [1810]~E(x18101,x18102)+E(f213(x18103,x18104,x18101,x18105),f213(x18103,x18104,x18102,x18105)) % 199.49/199.86 [1811]~E(x18111,x18112)+E(f213(x18113,x18114,x18115,x18111),f213(x18113,x18114,x18115,x18112)) % 199.49/199.86 [1812]~E(x18121,x18122)+E(f783(x18121,x18123,x18124),f783(x18122,x18123,x18124)) % 199.49/199.86 [1813]~E(x18131,x18132)+E(f783(x18133,x18131,x18134),f783(x18133,x18132,x18134)) % 199.49/199.86 [1814]~E(x18141,x18142)+E(f783(x18143,x18144,x18141),f783(x18143,x18144,x18142)) % 199.49/199.86 [1815]~E(x18151,x18152)+E(f680(x18151,x18153,x18154,x18155),f680(x18152,x18153,x18154,x18155)) % 199.49/199.86 [1816]~E(x18161,x18162)+E(f680(x18163,x18161,x18164,x18165),f680(x18163,x18162,x18164,x18165)) % 199.49/199.86 [1817]~E(x18171,x18172)+E(f680(x18173,x18174,x18171,x18175),f680(x18173,x18174,x18172,x18175)) % 199.49/199.86 [1818]~E(x18181,x18182)+E(f680(x18183,x18184,x18185,x18181),f680(x18183,x18184,x18185,x18182)) % 199.49/199.86 [1819]~E(x18191,x18192)+E(f232(x18191,x18193,x18194),f232(x18192,x18193,x18194)) % 199.49/199.86 [1820]~E(x18201,x18202)+E(f232(x18203,x18201,x18204),f232(x18203,x18202,x18204)) % 199.49/199.86 [1821]~E(x18211,x18212)+E(f232(x18213,x18214,x18211),f232(x18213,x18214,x18212)) % 199.49/199.86 [1822]~E(x18221,x18222)+E(f370(x18221,x18223,x18224),f370(x18222,x18223,x18224)) % 199.49/199.86 [1823]~E(x18231,x18232)+E(f370(x18233,x18231,x18234),f370(x18233,x18232,x18234)) % 199.49/199.86 [1824]~E(x18241,x18242)+E(f370(x18243,x18244,x18241),f370(x18243,x18244,x18242)) % 199.49/199.86 [1825]~E(x18251,x18252)+E(f606(x18251,x18253,x18254,x18255),f606(x18252,x18253,x18254,x18255)) % 199.49/199.86 [1826]~E(x18261,x18262)+E(f606(x18263,x18261,x18264,x18265),f606(x18263,x18262,x18264,x18265)) % 199.49/199.86 [1827]~E(x18271,x18272)+E(f606(x18273,x18274,x18271,x18275),f606(x18273,x18274,x18272,x18275)) % 199.49/199.86 [1828]~E(x18281,x18282)+E(f606(x18283,x18284,x18285,x18281),f606(x18283,x18284,x18285,x18282)) % 199.49/199.86 [1829]~E(x18291,x18292)+E(f409(x18291,x18293,x18294),f409(x18292,x18293,x18294)) % 199.49/199.86 [1830]~E(x18301,x18302)+E(f409(x18303,x18301,x18304),f409(x18303,x18302,x18304)) % 199.49/199.86 [1831]~E(x18311,x18312)+E(f409(x18313,x18314,x18311),f409(x18313,x18314,x18312)) % 199.49/199.86 [1832]~E(x18321,x18322)+E(f909(x18321,x18323,x18324,x18325,x18326),f909(x18322,x18323,x18324,x18325,x18326)) % 199.49/199.86 [1833]~E(x18331,x18332)+E(f909(x18333,x18331,x18334,x18335,x18336),f909(x18333,x18332,x18334,x18335,x18336)) % 199.49/199.86 [1834]~E(x18341,x18342)+E(f909(x18343,x18344,x18341,x18345,x18346),f909(x18343,x18344,x18342,x18345,x18346)) % 199.49/199.86 [1835]~E(x18351,x18352)+E(f909(x18353,x18354,x18355,x18351,x18356),f909(x18353,x18354,x18355,x18352,x18356)) % 199.49/199.86 [1836]~E(x18361,x18362)+E(f909(x18363,x18364,x18365,x18366,x18361),f909(x18363,x18364,x18365,x18366,x18362)) % 199.49/199.86 [1837]~E(x18371,x18372)+E(f504(x18371,x18373,x18374,x18375,x18376),f504(x18372,x18373,x18374,x18375,x18376)) % 199.49/199.86 [1838]~E(x18381,x18382)+E(f504(x18383,x18381,x18384,x18385,x18386),f504(x18383,x18382,x18384,x18385,x18386)) % 199.49/199.86 [1839]~E(x18391,x18392)+E(f504(x18393,x18394,x18391,x18395,x18396),f504(x18393,x18394,x18392,x18395,x18396)) % 199.49/199.86 [1840]~E(x18401,x18402)+E(f504(x18403,x18404,x18405,x18401,x18406),f504(x18403,x18404,x18405,x18402,x18406)) % 199.49/199.86 [1841]~E(x18411,x18412)+E(f504(x18413,x18414,x18415,x18416,x18411),f504(x18413,x18414,x18415,x18416,x18412)) % 199.49/199.86 [1842]~E(x18421,x18422)+E(f618(x18421,x18423,x18424,x18425,x18426),f618(x18422,x18423,x18424,x18425,x18426)) % 199.49/199.86 [1843]~E(x18431,x18432)+E(f618(x18433,x18431,x18434,x18435,x18436),f618(x18433,x18432,x18434,x18435,x18436)) % 199.49/199.86 [1844]~E(x18441,x18442)+E(f618(x18443,x18444,x18441,x18445,x18446),f618(x18443,x18444,x18442,x18445,x18446)) % 199.49/199.86 [1845]~E(x18451,x18452)+E(f618(x18453,x18454,x18455,x18451,x18456),f618(x18453,x18454,x18455,x18452,x18456)) % 199.49/199.86 [1846]~E(x18461,x18462)+E(f618(x18463,x18464,x18465,x18466,x18461),f618(x18463,x18464,x18465,x18466,x18462)) % 199.49/199.86 [1847]~E(x18471,x18472)+E(f526(x18471,x18473,x18474),f526(x18472,x18473,x18474)) % 199.49/199.86 [1848]~E(x18481,x18482)+E(f526(x18483,x18481,x18484),f526(x18483,x18482,x18484)) % 199.49/199.86 [1849]~E(x18491,x18492)+E(f526(x18493,x18494,x18491),f526(x18493,x18494,x18492)) % 199.49/199.86 [1850]~E(x18501,x18502)+E(f711(x18501,x18503),f711(x18502,x18503)) % 199.49/199.86 [1851]~E(x18511,x18512)+E(f711(x18513,x18511),f711(x18513,x18512)) % 199.49/199.86 [1852]~E(x18521,x18522)+E(f552(x18521,x18523,x18524),f552(x18522,x18523,x18524)) % 199.49/199.86 [1853]~E(x18531,x18532)+E(f552(x18533,x18531,x18534),f552(x18533,x18532,x18534)) % 199.49/199.86 [1854]~E(x18541,x18542)+E(f552(x18543,x18544,x18541),f552(x18543,x18544,x18542)) % 199.49/199.86 [1855]~E(x18551,x18552)+E(f777(x18551,x18553,x18554),f777(x18552,x18553,x18554)) % 199.49/199.86 [1856]~E(x18561,x18562)+E(f777(x18563,x18561,x18564),f777(x18563,x18562,x18564)) % 199.49/199.86 [1857]~E(x18571,x18572)+E(f777(x18573,x18574,x18571),f777(x18573,x18574,x18572)) % 199.49/199.86 [1858]~E(x18581,x18582)+E(f825(x18581,x18583,x18584,x18585,x18586,x18587),f825(x18582,x18583,x18584,x18585,x18586,x18587)) % 199.49/199.86 [1859]~E(x18591,x18592)+E(f825(x18593,x18591,x18594,x18595,x18596,x18597),f825(x18593,x18592,x18594,x18595,x18596,x18597)) % 199.49/199.86 [1860]~E(x18601,x18602)+E(f825(x18603,x18604,x18601,x18605,x18606,x18607),f825(x18603,x18604,x18602,x18605,x18606,x18607)) % 199.49/199.86 [1861]~E(x18611,x18612)+E(f825(x18613,x18614,x18615,x18611,x18616,x18617),f825(x18613,x18614,x18615,x18612,x18616,x18617)) % 199.49/199.86 [1862]~E(x18621,x18622)+E(f825(x18623,x18624,x18625,x18626,x18621,x18627),f825(x18623,x18624,x18625,x18626,x18622,x18627)) % 199.49/199.86 [1863]~E(x18631,x18632)+E(f825(x18633,x18634,x18635,x18636,x18637,x18631),f825(x18633,x18634,x18635,x18636,x18637,x18632)) % 199.49/199.86 [1864]~E(x18641,x18642)+E(f282(x18641,x18643,x18644,x18645),f282(x18642,x18643,x18644,x18645)) % 199.49/199.86 [1865]~E(x18651,x18652)+E(f282(x18653,x18651,x18654,x18655),f282(x18653,x18652,x18654,x18655)) % 199.49/199.86 [1866]~E(x18661,x18662)+E(f282(x18663,x18664,x18661,x18665),f282(x18663,x18664,x18662,x18665)) % 199.49/199.86 [1867]~E(x18671,x18672)+E(f282(x18673,x18674,x18675,x18671),f282(x18673,x18674,x18675,x18672)) % 199.49/199.86 [1868]~E(x18681,x18682)+E(f842(x18681,x18683),f842(x18682,x18683)) % 199.49/199.86 [1869]~E(x18691,x18692)+E(f842(x18693,x18691),f842(x18693,x18692)) % 199.49/199.86 [1870]~E(x18701,x18702)+E(f457(x18701,x18703,x18704,x18705),f457(x18702,x18703,x18704,x18705)) % 199.49/199.86 [1871]~E(x18711,x18712)+E(f457(x18713,x18711,x18714,x18715),f457(x18713,x18712,x18714,x18715)) % 199.49/199.86 [1872]~E(x18721,x18722)+E(f457(x18723,x18724,x18721,x18725),f457(x18723,x18724,x18722,x18725)) % 199.49/199.86 [1873]~E(x18731,x18732)+E(f457(x18733,x18734,x18735,x18731),f457(x18733,x18734,x18735,x18732)) % 199.49/199.86 [1874]~E(x18741,x18742)+E(f845(x18741,x18743,x18744),f845(x18742,x18743,x18744)) % 199.49/199.86 [1875]~E(x18751,x18752)+E(f845(x18753,x18751,x18754),f845(x18753,x18752,x18754)) % 199.49/199.86 [1876]~E(x18761,x18762)+E(f845(x18763,x18764,x18761),f845(x18763,x18764,x18762)) % 199.49/199.86 [1877]~E(x18771,x18772)+E(f456(x18771,x18773,x18774,x18775),f456(x18772,x18773,x18774,x18775)) % 199.49/199.86 [1878]~E(x18781,x18782)+E(f456(x18783,x18781,x18784,x18785),f456(x18783,x18782,x18784,x18785)) % 199.49/199.86 [1879]~E(x18791,x18792)+E(f456(x18793,x18794,x18791,x18795),f456(x18793,x18794,x18792,x18795)) % 199.49/199.86 [1880]~E(x18801,x18802)+E(f456(x18803,x18804,x18805,x18801),f456(x18803,x18804,x18805,x18802)) % 199.49/199.86 [1881]~E(x18811,x18812)+E(f733(x18811,x18813,x18814),f733(x18812,x18813,x18814)) % 199.49/199.86 [1882]~E(x18821,x18822)+E(f733(x18823,x18821,x18824),f733(x18823,x18822,x18824)) % 199.49/199.86 [1883]~E(x18831,x18832)+E(f733(x18833,x18834,x18831),f733(x18833,x18834,x18832)) % 199.49/199.86 [1884]~E(x18841,x18842)+E(f125(x18841,x18843,x18844,x18845),f125(x18842,x18843,x18844,x18845)) % 199.49/199.86 [1885]~E(x18851,x18852)+E(f125(x18853,x18851,x18854,x18855),f125(x18853,x18852,x18854,x18855)) % 199.49/199.86 [1886]~E(x18861,x18862)+E(f125(x18863,x18864,x18861,x18865),f125(x18863,x18864,x18862,x18865)) % 199.49/199.86 [1887]~E(x18871,x18872)+E(f125(x18873,x18874,x18875,x18871),f125(x18873,x18874,x18875,x18872)) % 199.49/199.86 [1888]~E(x18881,x18882)+E(f731(x18881,x18883),f731(x18882,x18883)) % 199.49/199.86 [1889]~E(x18891,x18892)+E(f731(x18893,x18891),f731(x18893,x18892)) % 199.49/199.86 [1890]~E(x18901,x18902)+E(f768(x18901,x18903,x18904),f768(x18902,x18903,x18904)) % 199.49/199.86 [1891]~E(x18911,x18912)+E(f768(x18913,x18911,x18914),f768(x18913,x18912,x18914)) % 199.49/199.86 [1892]~E(x18921,x18922)+E(f768(x18923,x18924,x18921),f768(x18923,x18924,x18922)) % 199.49/199.86 [1893]~E(x18931,x18932)+E(f249(x18931,x18933,x18934,x18935,x18936,x18937),f249(x18932,x18933,x18934,x18935,x18936,x18937)) % 199.49/199.86 [1894]~E(x18941,x18942)+E(f249(x18943,x18941,x18944,x18945,x18946,x18947),f249(x18943,x18942,x18944,x18945,x18946,x18947)) % 199.49/199.86 [1895]~E(x18951,x18952)+E(f249(x18953,x18954,x18951,x18955,x18956,x18957),f249(x18953,x18954,x18952,x18955,x18956,x18957)) % 199.49/199.86 [1896]~E(x18961,x18962)+E(f249(x18963,x18964,x18965,x18961,x18966,x18967),f249(x18963,x18964,x18965,x18962,x18966,x18967)) % 199.49/199.86 [1897]~E(x18971,x18972)+E(f249(x18973,x18974,x18975,x18976,x18971,x18977),f249(x18973,x18974,x18975,x18976,x18972,x18977)) % 199.49/199.86 [1898]~E(x18981,x18982)+E(f249(x18983,x18984,x18985,x18986,x18987,x18981),f249(x18983,x18984,x18985,x18986,x18987,x18982)) % 199.49/199.86 [1899]~E(x18991,x18992)+E(f439(x18991,x18993,x18994,x18995),f439(x18992,x18993,x18994,x18995)) % 199.49/199.86 [1900]~E(x19001,x19002)+E(f439(x19003,x19001,x19004,x19005),f439(x19003,x19002,x19004,x19005)) % 199.49/199.86 [1901]~E(x19011,x19012)+E(f439(x19013,x19014,x19011,x19015),f439(x19013,x19014,x19012,x19015)) % 199.49/199.86 [1902]~E(x19021,x19022)+E(f439(x19023,x19024,x19025,x19021),f439(x19023,x19024,x19025,x19022)) % 199.49/199.86 [1903]~E(x19031,x19032)+E(f703(x19031,x19033,x19034),f703(x19032,x19033,x19034)) % 199.49/199.86 [1904]~E(x19041,x19042)+E(f703(x19043,x19041,x19044),f703(x19043,x19042,x19044)) % 199.49/199.86 [1905]~E(x19051,x19052)+E(f703(x19053,x19054,x19051),f703(x19053,x19054,x19052)) % 199.49/199.86 [1906]~E(x19061,x19062)+E(f661(x19061,x19063,x19064,x19065),f661(x19062,x19063,x19064,x19065)) % 199.49/199.86 [1907]~E(x19071,x19072)+E(f661(x19073,x19071,x19074,x19075),f661(x19073,x19072,x19074,x19075)) % 199.49/199.86 [1908]~E(x19081,x19082)+E(f661(x19083,x19084,x19081,x19085),f661(x19083,x19084,x19082,x19085)) % 199.49/199.86 [1909]~E(x19091,x19092)+E(f661(x19093,x19094,x19095,x19091),f661(x19093,x19094,x19095,x19092)) % 199.49/199.86 [1910]~E(x19101,x19102)+E(f827(x19101,x19103,x19104,x19105,x19106,x19107),f827(x19102,x19103,x19104,x19105,x19106,x19107)) % 199.49/199.86 [1911]~E(x19111,x19112)+E(f827(x19113,x19111,x19114,x19115,x19116,x19117),f827(x19113,x19112,x19114,x19115,x19116,x19117)) % 199.49/199.86 [1912]~E(x19121,x19122)+E(f827(x19123,x19124,x19121,x19125,x19126,x19127),f827(x19123,x19124,x19122,x19125,x19126,x19127)) % 199.49/199.86 [1913]~E(x19131,x19132)+E(f827(x19133,x19134,x19135,x19131,x19136,x19137),f827(x19133,x19134,x19135,x19132,x19136,x19137)) % 199.49/199.86 [1914]~E(x19141,x19142)+E(f827(x19143,x19144,x19145,x19146,x19141,x19147),f827(x19143,x19144,x19145,x19146,x19142,x19147)) % 199.49/199.86 [1915]~E(x19151,x19152)+E(f827(x19153,x19154,x19155,x19156,x19157,x19151),f827(x19153,x19154,x19155,x19156,x19157,x19152)) % 199.49/199.86 [1916]~E(x19161,x19162)+E(f628(x19161,x19163,x19164),f628(x19162,x19163,x19164)) % 199.49/199.86 [1917]~E(x19171,x19172)+E(f628(x19173,x19171,x19174),f628(x19173,x19172,x19174)) % 199.49/199.86 [1918]~E(x19181,x19182)+E(f628(x19183,x19184,x19181),f628(x19183,x19184,x19182)) % 199.49/199.86 [1919]~E(x19191,x19192)+E(f700(x19191,x19193,x19194),f700(x19192,x19193,x19194)) % 199.49/199.86 [1920]~E(x19201,x19202)+E(f700(x19203,x19201,x19204),f700(x19203,x19202,x19204)) % 199.49/199.86 [1921]~E(x19211,x19212)+E(f700(x19213,x19214,x19211),f700(x19213,x19214,x19212)) % 199.49/199.86 [1922]~E(x19221,x19222)+E(f905(x19221,x19223,x19224,x19225,x19226),f905(x19222,x19223,x19224,x19225,x19226)) % 199.49/199.86 [1923]~E(x19231,x19232)+E(f905(x19233,x19231,x19234,x19235,x19236),f905(x19233,x19232,x19234,x19235,x19236)) % 199.49/199.86 [1924]~E(x19241,x19242)+E(f905(x19243,x19244,x19241,x19245,x19246),f905(x19243,x19244,x19242,x19245,x19246)) % 199.49/199.86 [1925]~E(x19251,x19252)+E(f905(x19253,x19254,x19255,x19251,x19256),f905(x19253,x19254,x19255,x19252,x19256)) % 199.49/199.86 [1926]~E(x19261,x19262)+E(f905(x19263,x19264,x19265,x19266,x19261),f905(x19263,x19264,x19265,x19266,x19262)) % 199.49/199.86 [1927]~E(x19271,x19272)+E(f453(x19271,x19273,x19274,x19275),f453(x19272,x19273,x19274,x19275)) % 199.49/199.86 [1928]~E(x19281,x19282)+E(f453(x19283,x19281,x19284,x19285),f453(x19283,x19282,x19284,x19285)) % 199.49/199.86 [1929]~E(x19291,x19292)+E(f453(x19293,x19294,x19291,x19295),f453(x19293,x19294,x19292,x19295)) % 199.49/199.86 [1930]~E(x19301,x19302)+E(f453(x19303,x19304,x19305,x19301),f453(x19303,x19304,x19305,x19302)) % 199.49/199.86 [1931]~E(x19311,x19312)+E(f348(x19311,x19313,x19314),f348(x19312,x19313,x19314)) % 199.49/199.86 [1932]~E(x19321,x19322)+E(f348(x19323,x19321,x19324),f348(x19323,x19322,x19324)) % 199.49/199.86 [1933]~E(x19331,x19332)+E(f348(x19333,x19334,x19331),f348(x19333,x19334,x19332)) % 199.49/199.86 [1934]~E(x19341,x19342)+E(f723(x19341,x19343,x19344),f723(x19342,x19343,x19344)) % 199.49/199.86 [1935]~E(x19351,x19352)+E(f723(x19353,x19351,x19354),f723(x19353,x19352,x19354)) % 199.49/199.86 [1936]~E(x19361,x19362)+E(f723(x19363,x19364,x19361),f723(x19363,x19364,x19362)) % 199.49/199.86 [1937]~E(x19371,x19372)+E(f359(x19371,x19373),f359(x19372,x19373)) % 199.49/199.86 [1938]~E(x19381,x19382)+E(f359(x19383,x19381),f359(x19383,x19382)) % 199.49/199.86 [1939]~E(x19391,x19392)+E(f898(x19391,x19393,x19394,x19395),f898(x19392,x19393,x19394,x19395)) % 199.49/199.86 [1940]~E(x19401,x19402)+E(f898(x19403,x19401,x19404,x19405),f898(x19403,x19402,x19404,x19405)) % 199.49/199.86 [1941]~E(x19411,x19412)+E(f898(x19413,x19414,x19411,x19415),f898(x19413,x19414,x19412,x19415)) % 199.49/199.86 [1942]~E(x19421,x19422)+E(f898(x19423,x19424,x19425,x19421),f898(x19423,x19424,x19425,x19422)) % 199.49/199.86 [1943]~E(x19431,x19432)+E(f270(x19431),f270(x19432)) % 199.49/199.86 [1944]~E(x19441,x19442)+E(f668(x19441,x19443,x19444,x19445,x19446),f668(x19442,x19443,x19444,x19445,x19446)) % 199.49/199.86 [1945]~E(x19451,x19452)+E(f668(x19453,x19451,x19454,x19455,x19456),f668(x19453,x19452,x19454,x19455,x19456)) % 199.49/199.86 [1946]~E(x19461,x19462)+E(f668(x19463,x19464,x19461,x19465,x19466),f668(x19463,x19464,x19462,x19465,x19466)) % 199.49/199.86 [1947]~E(x19471,x19472)+E(f668(x19473,x19474,x19475,x19471,x19476),f668(x19473,x19474,x19475,x19472,x19476)) % 199.49/199.86 [1948]~E(x19481,x19482)+E(f668(x19483,x19484,x19485,x19486,x19481),f668(x19483,x19484,x19485,x19486,x19482)) % 199.49/199.86 [1949]~E(x19491,x19492)+E(f554(x19491,x19493,x19494,x19495),f554(x19492,x19493,x19494,x19495)) % 199.49/199.86 [1950]~E(x19501,x19502)+E(f554(x19503,x19501,x19504,x19505),f554(x19503,x19502,x19504,x19505)) % 199.49/199.86 [1951]~E(x19511,x19512)+E(f554(x19513,x19514,x19511,x19515),f554(x19513,x19514,x19512,x19515)) % 199.49/199.86 [1952]~E(x19521,x19522)+E(f554(x19523,x19524,x19525,x19521),f554(x19523,x19524,x19525,x19522)) % 199.49/199.86 [1953]~E(x19531,x19532)+E(f17(x19531,x19533,x19534,x19535),f17(x19532,x19533,x19534,x19535)) % 199.49/199.86 [1954]~E(x19541,x19542)+E(f17(x19543,x19541,x19544,x19545),f17(x19543,x19542,x19544,x19545)) % 199.49/199.86 [1955]~E(x19551,x19552)+E(f17(x19553,x19554,x19551,x19555),f17(x19553,x19554,x19552,x19555)) % 199.49/199.86 [1956]~E(x19561,x19562)+E(f17(x19563,x19564,x19565,x19561),f17(x19563,x19564,x19565,x19562)) % 199.49/199.86 [1957]~E(x19571,x19572)+E(f755(x19571,x19573,x19574,x19575,x19576),f755(x19572,x19573,x19574,x19575,x19576)) % 199.49/199.86 [1958]~E(x19581,x19582)+E(f755(x19583,x19581,x19584,x19585,x19586),f755(x19583,x19582,x19584,x19585,x19586)) % 199.49/199.86 [1959]~E(x19591,x19592)+E(f755(x19593,x19594,x19591,x19595,x19596),f755(x19593,x19594,x19592,x19595,x19596)) % 199.49/199.86 [1960]~E(x19601,x19602)+E(f755(x19603,x19604,x19605,x19601,x19606),f755(x19603,x19604,x19605,x19602,x19606)) % 199.49/199.86 [1961]~E(x19611,x19612)+E(f755(x19613,x19614,x19615,x19616,x19611),f755(x19613,x19614,x19615,x19616,x19612)) % 199.49/199.86 [1962]~E(x19621,x19622)+E(f696(x19621,x19623,x19624,x19625),f696(x19622,x19623,x19624,x19625)) % 199.49/199.86 [1963]~E(x19631,x19632)+E(f696(x19633,x19631,x19634,x19635),f696(x19633,x19632,x19634,x19635)) % 199.49/199.86 [1964]~E(x19641,x19642)+E(f696(x19643,x19644,x19641,x19645),f696(x19643,x19644,x19642,x19645)) % 199.49/199.86 [1965]~E(x19651,x19652)+E(f696(x19653,x19654,x19655,x19651),f696(x19653,x19654,x19655,x19652)) % 199.49/199.86 [1966]~E(x19661,x19662)+E(f748(x19661,x19663),f748(x19662,x19663)) % 199.49/199.86 [1967]~E(x19671,x19672)+E(f748(x19673,x19671),f748(x19673,x19672)) % 199.49/199.86 [1968]~E(x19681,x19682)+E(f469(x19681,x19683,x19684,x19685),f469(x19682,x19683,x19684,x19685)) % 199.49/199.86 [1969]~E(x19691,x19692)+E(f469(x19693,x19691,x19694,x19695),f469(x19693,x19692,x19694,x19695)) % 199.49/199.86 [1970]~E(x19701,x19702)+E(f469(x19703,x19704,x19701,x19705),f469(x19703,x19704,x19702,x19705)) % 199.49/199.86 [1971]~E(x19711,x19712)+E(f469(x19713,x19714,x19715,x19711),f469(x19713,x19714,x19715,x19712)) % 199.49/199.86 [1972]~E(x19721,x19722)+E(f769(x19721,x19723,x19724),f769(x19722,x19723,x19724)) % 199.49/199.86 [1973]~E(x19731,x19732)+E(f769(x19733,x19731,x19734),f769(x19733,x19732,x19734)) % 199.49/199.86 [1974]~E(x19741,x19742)+E(f769(x19743,x19744,x19741),f769(x19743,x19744,x19742)) % 199.49/199.86 [1975]~E(x19751,x19752)+E(f295(x19751,x19753),f295(x19752,x19753)) % 199.49/199.86 [1976]~E(x19761,x19762)+E(f295(x19763,x19761),f295(x19763,x19762)) % 199.49/199.86 [1977]~E(x19771,x19772)+E(f780(x19771,x19773,x19774,x19775),f780(x19772,x19773,x19774,x19775)) % 199.49/199.86 [1978]~E(x19781,x19782)+E(f780(x19783,x19781,x19784,x19785),f780(x19783,x19782,x19784,x19785)) % 199.49/199.86 [1979]~E(x19791,x19792)+E(f780(x19793,x19794,x19791,x19795),f780(x19793,x19794,x19792,x19795)) % 199.49/199.86 [1980]~E(x19801,x19802)+E(f780(x19803,x19804,x19805,x19801),f780(x19803,x19804,x19805,x19802)) % 199.49/199.86 [1981]~E(x19811,x19812)+E(f369(x19811,x19813,x19814),f369(x19812,x19813,x19814)) % 199.49/199.86 [1982]~E(x19821,x19822)+E(f369(x19823,x19821,x19824),f369(x19823,x19822,x19824)) % 199.49/199.86 [1983]~E(x19831,x19832)+E(f369(x19833,x19834,x19831),f369(x19833,x19834,x19832)) % 199.49/199.86 [1984]~E(x19841,x19842)+E(f766(x19841,x19843,x19844),f766(x19842,x19843,x19844)) % 199.49/199.86 [1985]~E(x19851,x19852)+E(f766(x19853,x19851,x19854),f766(x19853,x19852,x19854)) % 199.49/199.86 [1986]~E(x19861,x19862)+E(f766(x19863,x19864,x19861),f766(x19863,x19864,x19862)) % 199.49/199.86 [1987]~E(x19871,x19872)+E(f884(x19871),f884(x19872)) % 199.49/199.86 [1988]~E(x19881,x19882)+E(f272(x19881,x19883),f272(x19882,x19883)) % 199.49/199.86 [1989]~E(x19891,x19892)+E(f272(x19893,x19891),f272(x19893,x19892)) % 199.49/199.86 [1990]~E(x19901,x19902)+E(f871(x19901,x19903,x19904,x19905,x19906,x19907,x19908),f871(x19902,x19903,x19904,x19905,x19906,x19907,x19908)) % 199.49/199.86 [1991]~E(x19911,x19912)+E(f871(x19913,x19911,x19914,x19915,x19916,x19917,x19918),f871(x19913,x19912,x19914,x19915,x19916,x19917,x19918)) % 199.49/199.86 [1992]~E(x19921,x19922)+E(f871(x19923,x19924,x19921,x19925,x19926,x19927,x19928),f871(x19923,x19924,x19922,x19925,x19926,x19927,x19928)) % 199.49/199.86 [1993]~E(x19931,x19932)+E(f871(x19933,x19934,x19935,x19931,x19936,x19937,x19938),f871(x19933,x19934,x19935,x19932,x19936,x19937,x19938)) % 199.49/199.86 [1994]~E(x19941,x19942)+E(f871(x19943,x19944,x19945,x19946,x19941,x19947,x19948),f871(x19943,x19944,x19945,x19946,x19942,x19947,x19948)) % 199.49/199.86 [1995]~E(x19951,x19952)+E(f871(x19953,x19954,x19955,x19956,x19957,x19951,x19958),f871(x19953,x19954,x19955,x19956,x19957,x19952,x19958)) % 199.49/199.86 [1996]~E(x19961,x19962)+E(f871(x19963,x19964,x19965,x19966,x19967,x19968,x19961),f871(x19963,x19964,x19965,x19966,x19967,x19968,x19962)) % 199.49/199.86 [1997]~E(x19971,x19972)+E(f870(x19971,x19973,x19974,x19975),f870(x19972,x19973,x19974,x19975)) % 199.49/199.86 [1998]~E(x19981,x19982)+E(f870(x19983,x19981,x19984,x19985),f870(x19983,x19982,x19984,x19985)) % 199.49/199.86 [1999]~E(x19991,x19992)+E(f870(x19993,x19994,x19991,x19995),f870(x19993,x19994,x19992,x19995)) % 199.49/199.86 [2000]~E(x20001,x20002)+E(f870(x20003,x20004,x20005,x20001),f870(x20003,x20004,x20005,x20002)) % 199.49/199.86 [2001]~E(x20011,x20012)+E(f206(x20011,x20013),f206(x20012,x20013)) % 199.49/199.86 [2002]~E(x20021,x20022)+E(f206(x20023,x20021),f206(x20023,x20022)) % 199.49/199.86 [2003]~E(x20031,x20032)+E(f673(x20031,x20033,x20034),f673(x20032,x20033,x20034)) % 199.49/199.86 [2004]~E(x20041,x20042)+E(f673(x20043,x20041,x20044),f673(x20043,x20042,x20044)) % 199.49/199.86 [2005]~E(x20051,x20052)+E(f673(x20053,x20054,x20051),f673(x20053,x20054,x20052)) % 199.49/199.86 [2006]~E(x20061,x20062)+E(f420(x20061,x20063),f420(x20062,x20063)) % 199.49/199.86 [2007]~E(x20071,x20072)+E(f420(x20073,x20071),f420(x20073,x20072)) % 199.49/199.86 [2008]~E(x20081,x20082)+E(f892(x20081),f892(x20082)) % 199.49/199.86 [2009]~E(x20091,x20092)+E(f460(x20091,x20093,x20094,x20095),f460(x20092,x20093,x20094,x20095)) % 199.49/199.86 [2010]~E(x20101,x20102)+E(f460(x20103,x20101,x20104,x20105),f460(x20103,x20102,x20104,x20105)) % 199.49/199.86 [2011]~E(x20111,x20112)+E(f460(x20113,x20114,x20111,x20115),f460(x20113,x20114,x20112,x20115)) % 199.49/199.86 [2012]~E(x20121,x20122)+E(f460(x20123,x20124,x20125,x20121),f460(x20123,x20124,x20125,x20122)) % 199.49/199.86 [2013]~E(x20131,x20132)+E(f806(x20131,x20133,x20134),f806(x20132,x20133,x20134)) % 199.49/199.86 [2014]~E(x20141,x20142)+E(f806(x20143,x20141,x20144),f806(x20143,x20142,x20144)) % 199.49/199.86 [2015]~E(x20151,x20152)+E(f806(x20153,x20154,x20151),f806(x20153,x20154,x20152)) % 199.49/199.86 [2016]~E(x20161,x20162)+E(f921(x20161,x20163,x20164,x20165,x20166),f921(x20162,x20163,x20164,x20165,x20166)) % 199.49/199.86 [2017]~E(x20171,x20172)+E(f921(x20173,x20171,x20174,x20175,x20176),f921(x20173,x20172,x20174,x20175,x20176)) % 199.49/199.86 [2018]~E(x20181,x20182)+E(f921(x20183,x20184,x20181,x20185,x20186),f921(x20183,x20184,x20182,x20185,x20186)) % 199.49/199.86 [2019]~E(x20191,x20192)+E(f921(x20193,x20194,x20195,x20191,x20196),f921(x20193,x20194,x20195,x20192,x20196)) % 199.49/199.86 [2020]~E(x20201,x20202)+E(f921(x20203,x20204,x20205,x20206,x20201),f921(x20203,x20204,x20205,x20206,x20202)) % 199.49/199.86 [2021]~E(x20211,x20212)+E(f608(x20211,x20213,x20214),f608(x20212,x20213,x20214)) % 199.49/199.86 [2022]~E(x20221,x20222)+E(f608(x20223,x20221,x20224),f608(x20223,x20222,x20224)) % 199.49/199.86 [2023]~E(x20231,x20232)+E(f608(x20233,x20234,x20231),f608(x20233,x20234,x20232)) % 199.49/199.86 [2024]~E(x20241,x20242)+E(f805(x20241,x20243,x20244,x20245),f805(x20242,x20243,x20244,x20245)) % 199.49/199.86 [2025]~E(x20251,x20252)+E(f805(x20253,x20251,x20254,x20255),f805(x20253,x20252,x20254,x20255)) % 199.49/199.86 [2026]~E(x20261,x20262)+E(f805(x20263,x20264,x20261,x20265),f805(x20263,x20264,x20262,x20265)) % 199.49/199.86 [2027]~E(x20271,x20272)+E(f805(x20273,x20274,x20275,x20271),f805(x20273,x20274,x20275,x20272)) % 199.49/199.86 [2028]~E(x20281,x20282)+E(f759(x20281,x20283,x20284,x20285,x20286,x20287,x20288),f759(x20282,x20283,x20284,x20285,x20286,x20287,x20288)) % 199.49/199.86 [2029]~E(x20291,x20292)+E(f759(x20293,x20291,x20294,x20295,x20296,x20297,x20298),f759(x20293,x20292,x20294,x20295,x20296,x20297,x20298)) % 199.49/199.86 [2030]~E(x20301,x20302)+E(f759(x20303,x20304,x20301,x20305,x20306,x20307,x20308),f759(x20303,x20304,x20302,x20305,x20306,x20307,x20308)) % 199.49/199.86 [2031]~E(x20311,x20312)+E(f759(x20313,x20314,x20315,x20311,x20316,x20317,x20318),f759(x20313,x20314,x20315,x20312,x20316,x20317,x20318)) % 199.49/199.86 [2032]~E(x20321,x20322)+E(f759(x20323,x20324,x20325,x20326,x20321,x20327,x20328),f759(x20323,x20324,x20325,x20326,x20322,x20327,x20328)) % 199.49/199.86 [2033]~E(x20331,x20332)+E(f759(x20333,x20334,x20335,x20336,x20337,x20331,x20338),f759(x20333,x20334,x20335,x20336,x20337,x20332,x20338)) % 199.49/199.86 [2034]~E(x20341,x20342)+E(f759(x20343,x20344,x20345,x20346,x20347,x20348,x20341),f759(x20343,x20344,x20345,x20346,x20347,x20348,x20342)) % 199.49/199.86 [2035]~E(x20351,x20352)+E(f681(x20351,x20353,x20354,x20355,x20356),f681(x20352,x20353,x20354,x20355,x20356)) % 199.49/199.86 [2036]~E(x20361,x20362)+E(f681(x20363,x20361,x20364,x20365,x20366),f681(x20363,x20362,x20364,x20365,x20366)) % 199.49/199.86 [2037]~E(x20371,x20372)+E(f681(x20373,x20374,x20371,x20375,x20376),f681(x20373,x20374,x20372,x20375,x20376)) % 199.49/199.86 [2038]~E(x20381,x20382)+E(f681(x20383,x20384,x20385,x20381,x20386),f681(x20383,x20384,x20385,x20382,x20386)) % 199.49/199.86 [2039]~E(x20391,x20392)+E(f681(x20393,x20394,x20395,x20396,x20391),f681(x20393,x20394,x20395,x20396,x20392)) % 199.49/199.86 [2040]~E(x20401,x20402)+E(f299(x20401,x20403,x20404),f299(x20402,x20403,x20404)) % 199.49/199.86 [2041]~E(x20411,x20412)+E(f299(x20413,x20411,x20414),f299(x20413,x20412,x20414)) % 199.49/199.86 [2042]~E(x20421,x20422)+E(f299(x20423,x20424,x20421),f299(x20423,x20424,x20422)) % 199.49/199.86 [2043]~E(x20431,x20432)+E(f600(x20431,x20433,x20434),f600(x20432,x20433,x20434)) % 199.49/199.86 [2044]~E(x20441,x20442)+E(f600(x20443,x20441,x20444),f600(x20443,x20442,x20444)) % 199.49/199.86 [2045]~E(x20451,x20452)+E(f600(x20453,x20454,x20451),f600(x20453,x20454,x20452)) % 199.49/199.86 [2046]~E(x20461,x20462)+E(f537(x20461,x20463,x20464),f537(x20462,x20463,x20464)) % 199.49/199.86 [2047]~E(x20471,x20472)+E(f537(x20473,x20471,x20474),f537(x20473,x20472,x20474)) % 199.49/199.86 [2048]~E(x20481,x20482)+E(f537(x20483,x20484,x20481),f537(x20483,x20484,x20482)) % 199.49/199.86 [2049]~E(x20491,x20492)+E(f704(x20491,x20493,x20494,x20495,x20496),f704(x20492,x20493,x20494,x20495,x20496)) % 199.49/199.86 [2050]~E(x20501,x20502)+E(f704(x20503,x20501,x20504,x20505,x20506),f704(x20503,x20502,x20504,x20505,x20506)) % 199.49/199.86 [2051]~E(x20511,x20512)+E(f704(x20513,x20514,x20511,x20515,x20516),f704(x20513,x20514,x20512,x20515,x20516)) % 199.49/199.86 [2052]~E(x20521,x20522)+E(f704(x20523,x20524,x20525,x20521,x20526),f704(x20523,x20524,x20525,x20522,x20526)) % 199.49/199.86 [2053]~E(x20531,x20532)+E(f704(x20533,x20534,x20535,x20536,x20531),f704(x20533,x20534,x20535,x20536,x20532)) % 199.49/199.86 [2054]~E(x20541,x20542)+E(f669(x20541,x20543,x20544,x20545,x20546,x20547),f669(x20542,x20543,x20544,x20545,x20546,x20547)) % 199.49/199.86 [2055]~E(x20551,x20552)+E(f669(x20553,x20551,x20554,x20555,x20556,x20557),f669(x20553,x20552,x20554,x20555,x20556,x20557)) % 199.49/199.86 [2056]~E(x20561,x20562)+E(f669(x20563,x20564,x20561,x20565,x20566,x20567),f669(x20563,x20564,x20562,x20565,x20566,x20567)) % 199.49/199.86 [2057]~E(x20571,x20572)+E(f669(x20573,x20574,x20575,x20571,x20576,x20577),f669(x20573,x20574,x20575,x20572,x20576,x20577)) % 199.49/199.86 [2058]~E(x20581,x20582)+E(f669(x20583,x20584,x20585,x20586,x20581,x20587),f669(x20583,x20584,x20585,x20586,x20582,x20587)) % 199.49/199.86 [2059]~E(x20591,x20592)+E(f669(x20593,x20594,x20595,x20596,x20597,x20591),f669(x20593,x20594,x20595,x20596,x20597,x20592)) % 199.49/199.86 [2060]~E(x20601,x20602)+E(f424(x20601),f424(x20602)) % 199.49/199.86 [2061]~E(x20611,x20612)+E(f542(x20611,x20613,x20614,x20615),f542(x20612,x20613,x20614,x20615)) % 199.49/199.86 [2062]~E(x20621,x20622)+E(f542(x20623,x20621,x20624,x20625),f542(x20623,x20622,x20624,x20625)) % 199.49/199.86 [2063]~E(x20631,x20632)+E(f542(x20633,x20634,x20631,x20635),f542(x20633,x20634,x20632,x20635)) % 199.49/199.86 [2064]~E(x20641,x20642)+E(f542(x20643,x20644,x20645,x20641),f542(x20643,x20644,x20645,x20642)) % 199.49/199.86 [2065]~E(x20651,x20652)+E(f633(x20651,x20653,x20654,x20655,x20656),f633(x20652,x20653,x20654,x20655,x20656)) % 199.49/199.86 [2066]~E(x20661,x20662)+E(f633(x20663,x20661,x20664,x20665,x20666),f633(x20663,x20662,x20664,x20665,x20666)) % 199.49/199.86 [2067]~E(x20671,x20672)+E(f633(x20673,x20674,x20671,x20675,x20676),f633(x20673,x20674,x20672,x20675,x20676)) % 199.49/199.86 [2068]~E(x20681,x20682)+E(f633(x20683,x20684,x20685,x20681,x20686),f633(x20683,x20684,x20685,x20682,x20686)) % 199.49/199.86 [2069]~E(x20691,x20692)+E(f633(x20693,x20694,x20695,x20696,x20691),f633(x20693,x20694,x20695,x20696,x20692)) % 199.49/199.86 [2070]~E(x20701,x20702)+E(f481(x20701,x20703,x20704),f481(x20702,x20703,x20704)) % 199.49/199.86 [2071]~E(x20711,x20712)+E(f481(x20713,x20711,x20714),f481(x20713,x20712,x20714)) % 199.49/199.86 [2072]~E(x20721,x20722)+E(f481(x20723,x20724,x20721),f481(x20723,x20724,x20722)) % 199.49/199.86 [2073]~E(x20731,x20732)+E(f423(x20731,x20733,x20734),f423(x20732,x20733,x20734)) % 199.49/199.86 [2074]~E(x20741,x20742)+E(f423(x20743,x20741,x20744),f423(x20743,x20742,x20744)) % 199.49/199.86 [2075]~E(x20751,x20752)+E(f423(x20753,x20754,x20751),f423(x20753,x20754,x20752)) % 199.49/199.86 [2076]~E(x20761,x20762)+E(f634(x20761,x20763,x20764,x20765,x20766),f634(x20762,x20763,x20764,x20765,x20766)) % 199.49/199.86 [2077]~E(x20771,x20772)+E(f634(x20773,x20771,x20774,x20775,x20776),f634(x20773,x20772,x20774,x20775,x20776)) % 199.49/199.86 [2078]~E(x20781,x20782)+E(f634(x20783,x20784,x20781,x20785,x20786),f634(x20783,x20784,x20782,x20785,x20786)) % 199.49/199.86 [2079]~E(x20791,x20792)+E(f634(x20793,x20794,x20795,x20791,x20796),f634(x20793,x20794,x20795,x20792,x20796)) % 199.49/199.86 [2080]~E(x20801,x20802)+E(f634(x20803,x20804,x20805,x20806,x20801),f634(x20803,x20804,x20805,x20806,x20802)) % 199.49/199.86 [2081]~E(x20811,x20812)+E(f577(x20811),f577(x20812)) % 199.49/199.86 [2082]~E(x20821,x20822)+E(f678(x20821,x20823,x20824,x20825),f678(x20822,x20823,x20824,x20825)) % 199.49/199.86 [2083]~E(x20831,x20832)+E(f678(x20833,x20831,x20834,x20835),f678(x20833,x20832,x20834,x20835)) % 199.49/199.86 [2084]~E(x20841,x20842)+E(f678(x20843,x20844,x20841,x20845),f678(x20843,x20844,x20842,x20845)) % 199.49/199.86 [2085]~E(x20851,x20852)+E(f678(x20853,x20854,x20855,x20851),f678(x20853,x20854,x20855,x20852)) % 199.49/199.86 [2086]~E(x20861,x20862)+E(f448(x20861,x20863),f448(x20862,x20863)) % 199.49/199.86 [2087]~E(x20871,x20872)+E(f448(x20873,x20871),f448(x20873,x20872)) % 199.49/199.86 [2088]~E(x20881,x20882)+E(f208(x20881),f208(x20882)) % 199.49/199.86 [2089]~E(x20891,x20892)+E(f393(x20891,x20893,x20894),f393(x20892,x20893,x20894)) % 199.49/199.86 [2090]~E(x20901,x20902)+E(f393(x20903,x20901,x20904),f393(x20903,x20902,x20904)) % 199.49/199.86 [2091]~E(x20911,x20912)+E(f393(x20913,x20914,x20911),f393(x20913,x20914,x20912)) % 199.49/199.86 [2092]~E(x20921,x20922)+E(f747(x20921,x20923,x20924,x20925,x20926),f747(x20922,x20923,x20924,x20925,x20926)) % 199.49/199.86 [2093]~E(x20931,x20932)+E(f747(x20933,x20931,x20934,x20935,x20936),f747(x20933,x20932,x20934,x20935,x20936)) % 199.49/199.86 [2094]~E(x20941,x20942)+E(f747(x20943,x20944,x20941,x20945,x20946),f747(x20943,x20944,x20942,x20945,x20946)) % 199.49/199.86 [2095]~E(x20951,x20952)+E(f747(x20953,x20954,x20955,x20951,x20956),f747(x20953,x20954,x20955,x20952,x20956)) % 199.49/199.86 [2096]~E(x20961,x20962)+E(f747(x20963,x20964,x20965,x20966,x20961),f747(x20963,x20964,x20965,x20966,x20962)) % 199.49/199.86 [2097]~E(x20971,x20972)+E(f596(x20971,x20973,x20974),f596(x20972,x20973,x20974)) % 199.49/199.86 [2098]~E(x20981,x20982)+E(f596(x20983,x20981,x20984),f596(x20983,x20982,x20984)) % 199.49/199.86 [2099]~E(x20991,x20992)+E(f596(x20993,x20994,x20991),f596(x20993,x20994,x20992)) % 199.49/199.86 [2100]~E(x21001,x21002)+E(f602(x21001,x21003,x21004),f602(x21002,x21003,x21004)) % 199.49/199.86 [2101]~E(x21011,x21012)+E(f602(x21013,x21011,x21014),f602(x21013,x21012,x21014)) % 199.49/199.86 [2102]~E(x21021,x21022)+E(f602(x21023,x21024,x21021),f602(x21023,x21024,x21022)) % 199.49/199.86 [2103]~E(x21031,x21032)+E(f442(x21031,x21033,x21034,x21035),f442(x21032,x21033,x21034,x21035)) % 199.49/199.86 [2104]~E(x21041,x21042)+E(f442(x21043,x21041,x21044,x21045),f442(x21043,x21042,x21044,x21045)) % 199.49/199.86 [2105]~E(x21051,x21052)+E(f442(x21053,x21054,x21051,x21055),f442(x21053,x21054,x21052,x21055)) % 199.49/199.86 [2106]~E(x21061,x21062)+E(f442(x21063,x21064,x21065,x21061),f442(x21063,x21064,x21065,x21062)) % 199.49/199.86 [2107]~E(x21071,x21072)+E(f416(x21071,x21073,x21074),f416(x21072,x21073,x21074)) % 199.49/199.86 [2108]~E(x21081,x21082)+E(f416(x21083,x21081,x21084),f416(x21083,x21082,x21084)) % 199.49/199.86 [2109]~E(x21091,x21092)+E(f416(x21093,x21094,x21091),f416(x21093,x21094,x21092)) % 199.49/199.86 [2110]~E(x21101,x21102)+E(f165(x21101,x21103),f165(x21102,x21103)) % 199.49/199.86 [2111]~E(x21111,x21112)+E(f165(x21113,x21111),f165(x21113,x21112)) % 199.49/199.86 [2112]~E(x21121,x21122)+E(f513(x21121,x21123,x21124),f513(x21122,x21123,x21124)) % 199.49/199.86 [2113]~E(x21131,x21132)+E(f513(x21133,x21131,x21134),f513(x21133,x21132,x21134)) % 199.49/199.86 [2114]~E(x21141,x21142)+E(f513(x21143,x21144,x21141),f513(x21143,x21144,x21142)) % 199.49/199.86 [2115]~E(x21151,x21152)+E(f693(x21151,x21153,x21154,x21155,x21156),f693(x21152,x21153,x21154,x21155,x21156)) % 199.49/199.86 [2116]~E(x21161,x21162)+E(f693(x21163,x21161,x21164,x21165,x21166),f693(x21163,x21162,x21164,x21165,x21166)) % 199.49/199.86 [2117]~E(x21171,x21172)+E(f693(x21173,x21174,x21171,x21175,x21176),f693(x21173,x21174,x21172,x21175,x21176)) % 199.49/199.86 [2118]~E(x21181,x21182)+E(f693(x21183,x21184,x21185,x21181,x21186),f693(x21183,x21184,x21185,x21182,x21186)) % 199.49/199.86 [2119]~E(x21191,x21192)+E(f693(x21193,x21194,x21195,x21196,x21191),f693(x21193,x21194,x21195,x21196,x21192)) % 199.49/199.86 [2120]~E(x21201,x21202)+E(f222(x21201,x21203),f222(x21202,x21203)) % 199.49/199.86 [2121]~E(x21211,x21212)+E(f222(x21213,x21211),f222(x21213,x21212)) % 199.49/199.86 [2122]~E(x21221,x21222)+E(f200(x21221,x21223,x21224,x21225),f200(x21222,x21223,x21224,x21225)) % 199.49/199.86 [2123]~E(x21231,x21232)+E(f200(x21233,x21231,x21234,x21235),f200(x21233,x21232,x21234,x21235)) % 199.49/199.86 [2124]~E(x21241,x21242)+E(f200(x21243,x21244,x21241,x21245),f200(x21243,x21244,x21242,x21245)) % 199.49/199.86 [2125]~E(x21251,x21252)+E(f200(x21253,x21254,x21255,x21251),f200(x21253,x21254,x21255,x21252)) % 199.49/199.86 [2126]~E(x21261,x21262)+E(f340(x21261,x21263,x21264),f340(x21262,x21263,x21264)) % 199.49/199.86 [2127]~E(x21271,x21272)+E(f340(x21273,x21271,x21274),f340(x21273,x21272,x21274)) % 199.49/199.86 [2128]~E(x21281,x21282)+E(f340(x21283,x21284,x21281),f340(x21283,x21284,x21282)) % 199.49/199.86 [2129]~E(x21291,x21292)+E(f498(x21291,x21293,x21294,x21295,x21296),f498(x21292,x21293,x21294,x21295,x21296)) % 199.49/199.86 [2130]~E(x21301,x21302)+E(f498(x21303,x21301,x21304,x21305,x21306),f498(x21303,x21302,x21304,x21305,x21306)) % 199.49/199.86 [2131]~E(x21311,x21312)+E(f498(x21313,x21314,x21311,x21315,x21316),f498(x21313,x21314,x21312,x21315,x21316)) % 199.49/199.86 [2132]~E(x21321,x21322)+E(f498(x21323,x21324,x21325,x21321,x21326),f498(x21323,x21324,x21325,x21322,x21326)) % 199.49/199.86 [2133]~E(x21331,x21332)+E(f498(x21333,x21334,x21335,x21336,x21331),f498(x21333,x21334,x21335,x21336,x21332)) % 199.49/199.86 [2134]~E(x21341,x21342)+E(f443(x21341,x21343),f443(x21342,x21343)) % 199.49/199.86 [2135]~E(x21351,x21352)+E(f443(x21353,x21351),f443(x21353,x21352)) % 199.49/199.86 [2136]~E(x21361,x21362)+E(f744(x21361,x21363),f744(x21362,x21363)) % 199.49/199.86 [2137]~E(x21371,x21372)+E(f744(x21373,x21371),f744(x21373,x21372)) % 199.49/199.86 [2138]~E(x21381,x21382)+E(f740(x21381,x21383),f740(x21382,x21383)) % 199.49/199.86 [2139]~E(x21391,x21392)+E(f740(x21393,x21391),f740(x21393,x21392)) % 199.49/199.86 [2140]~E(x21401,x21402)+E(f753(x21401,x21403,x21404,x21405,x21406),f753(x21402,x21403,x21404,x21405,x21406)) % 199.49/199.86 [2141]~E(x21411,x21412)+E(f753(x21413,x21411,x21414,x21415,x21416),f753(x21413,x21412,x21414,x21415,x21416)) % 199.49/199.86 [2142]~E(x21421,x21422)+E(f753(x21423,x21424,x21421,x21425,x21426),f753(x21423,x21424,x21422,x21425,x21426)) % 199.49/199.86 [2143]~E(x21431,x21432)+E(f753(x21433,x21434,x21435,x21431,x21436),f753(x21433,x21434,x21435,x21432,x21436)) % 199.49/199.86 [2144]~E(x21441,x21442)+E(f753(x21443,x21444,x21445,x21446,x21441),f753(x21443,x21444,x21445,x21446,x21442)) % 199.49/199.86 [2145]~E(x21451,x21452)+E(f569(x21451,x21453,x21454),f569(x21452,x21453,x21454)) % 199.49/199.86 [2146]~E(x21461,x21462)+E(f569(x21463,x21461,x21464),f569(x21463,x21462,x21464)) % 199.49/199.86 [2147]~E(x21471,x21472)+E(f569(x21473,x21474,x21471),f569(x21473,x21474,x21472)) % 199.49/199.86 [2148]~E(x21481,x21482)+E(f750(x21481,x21483),f750(x21482,x21483)) % 199.49/199.86 [2149]~E(x21491,x21492)+E(f750(x21493,x21491),f750(x21493,x21492)) % 199.49/199.86 [2150]~E(x21501,x21502)+E(f97(x21501,x21503,x21504,x21505),f97(x21502,x21503,x21504,x21505)) % 199.49/199.86 [2151]~E(x21511,x21512)+E(f97(x21513,x21511,x21514,x21515),f97(x21513,x21512,x21514,x21515)) % 199.49/199.86 [2152]~E(x21521,x21522)+E(f97(x21523,x21524,x21521,x21525),f97(x21523,x21524,x21522,x21525)) % 199.49/199.86 [2153]~E(x21531,x21532)+E(f97(x21533,x21534,x21535,x21531),f97(x21533,x21534,x21535,x21532)) % 199.49/199.86 [2154]~E(x21541,x21542)+E(f648(x21541,x21543,x21544),f648(x21542,x21543,x21544)) % 199.49/199.86 [2155]~E(x21551,x21552)+E(f648(x21553,x21551,x21554),f648(x21553,x21552,x21554)) % 199.49/199.86 [2156]~E(x21561,x21562)+E(f648(x21563,x21564,x21561),f648(x21563,x21564,x21562)) % 199.49/199.86 [2157]~E(x21571,x21572)+E(f887(x21571),f887(x21572)) % 199.49/199.86 [2158]~E(x21581,x21582)+E(f655(x21581,x21583,x21584,x21585,x21586),f655(x21582,x21583,x21584,x21585,x21586)) % 199.49/199.86 [2159]~E(x21591,x21592)+E(f655(x21593,x21591,x21594,x21595,x21596),f655(x21593,x21592,x21594,x21595,x21596)) % 199.49/199.86 [2160]~E(x21601,x21602)+E(f655(x21603,x21604,x21601,x21605,x21606),f655(x21603,x21604,x21602,x21605,x21606)) % 199.49/199.86 [2161]~E(x21611,x21612)+E(f655(x21613,x21614,x21615,x21611,x21616),f655(x21613,x21614,x21615,x21612,x21616)) % 199.49/199.86 [2162]~E(x21621,x21622)+E(f655(x21623,x21624,x21625,x21626,x21621),f655(x21623,x21624,x21625,x21626,x21622)) % 199.49/199.86 [2163]~E(x21631,x21632)+E(f812(x21631),f812(x21632)) % 199.49/199.86 [2164]~E(x21641,x21642)+E(f551(x21641,x21643,x21644),f551(x21642,x21643,x21644)) % 199.49/199.86 [2165]~E(x21651,x21652)+E(f551(x21653,x21651,x21654),f551(x21653,x21652,x21654)) % 199.49/199.86 [2166]~E(x21661,x21662)+E(f551(x21663,x21664,x21661),f551(x21663,x21664,x21662)) % 199.49/199.86 [2167]~E(x21671,x21672)+E(f833(x21671,x21673,x21674),f833(x21672,x21673,x21674)) % 199.49/199.86 [2168]~E(x21681,x21682)+E(f833(x21683,x21681,x21684),f833(x21683,x21682,x21684)) % 199.49/199.86 [2169]~E(x21691,x21692)+E(f833(x21693,x21694,x21691),f833(x21693,x21694,x21692)) % 199.49/199.86 [2170]~E(x21701,x21702)+E(f773(x21701,x21703,x21704),f773(x21702,x21703,x21704)) % 199.49/199.86 [2171]~E(x21711,x21712)+E(f773(x21713,x21711,x21714),f773(x21713,x21712,x21714)) % 199.49/199.86 [2172]~E(x21721,x21722)+E(f773(x21723,x21724,x21721),f773(x21723,x21724,x21722)) % 199.49/199.86 [2173]~E(x21731,x21732)+E(f800(x21731,x21733,x21734,x21735,x21736,x21737,x21738),f800(x21732,x21733,x21734,x21735,x21736,x21737,x21738)) % 199.49/199.86 [2174]~E(x21741,x21742)+E(f800(x21743,x21741,x21744,x21745,x21746,x21747,x21748),f800(x21743,x21742,x21744,x21745,x21746,x21747,x21748)) % 199.49/199.86 [2175]~E(x21751,x21752)+E(f800(x21753,x21754,x21751,x21755,x21756,x21757,x21758),f800(x21753,x21754,x21752,x21755,x21756,x21757,x21758)) % 199.49/199.86 [2176]~E(x21761,x21762)+E(f800(x21763,x21764,x21765,x21761,x21766,x21767,x21768),f800(x21763,x21764,x21765,x21762,x21766,x21767,x21768)) % 199.49/199.86 [2177]~E(x21771,x21772)+E(f800(x21773,x21774,x21775,x21776,x21771,x21777,x21778),f800(x21773,x21774,x21775,x21776,x21772,x21777,x21778)) % 199.49/199.86 [2178]~E(x21781,x21782)+E(f800(x21783,x21784,x21785,x21786,x21787,x21781,x21788),f800(x21783,x21784,x21785,x21786,x21787,x21782,x21788)) % 199.49/199.86 [2179]~E(x21791,x21792)+E(f800(x21793,x21794,x21795,x21796,x21797,x21798,x21791),f800(x21793,x21794,x21795,x21796,x21797,x21798,x21792)) % 199.49/199.86 [2180]~E(x21801,x21802)+E(f378(x21801,x21803,x21804),f378(x21802,x21803,x21804)) % 199.49/199.86 [2181]~E(x21811,x21812)+E(f378(x21813,x21811,x21814),f378(x21813,x21812,x21814)) % 199.49/199.86 [2182]~E(x21821,x21822)+E(f378(x21823,x21824,x21821),f378(x21823,x21824,x21822)) % 199.49/199.86 [2183]~E(x21831,x21832)+E(f589(x21831,x21833,x21834),f589(x21832,x21833,x21834)) % 199.49/199.86 [2184]~E(x21841,x21842)+E(f589(x21843,x21841,x21844),f589(x21843,x21842,x21844)) % 199.49/199.86 [2185]~E(x21851,x21852)+E(f589(x21853,x21854,x21851),f589(x21853,x21854,x21852)) % 199.49/199.86 [2186]~E(x21861,x21862)+E(f726(x21861,x21863,x21864,x21865),f726(x21862,x21863,x21864,x21865)) % 199.49/199.86 [2187]~E(x21871,x21872)+E(f726(x21873,x21871,x21874,x21875),f726(x21873,x21872,x21874,x21875)) % 199.49/199.86 [2188]~E(x21881,x21882)+E(f726(x21883,x21884,x21881,x21885),f726(x21883,x21884,x21882,x21885)) % 199.49/199.86 [2189]~E(x21891,x21892)+E(f726(x21893,x21894,x21895,x21891),f726(x21893,x21894,x21895,x21892)) % 199.49/199.86 [2190]~E(x21901,x21902)+E(f699(x21901,x21903,x21904),f699(x21902,x21903,x21904)) % 199.49/199.86 [2191]~E(x21911,x21912)+E(f699(x21913,x21911,x21914),f699(x21913,x21912,x21914)) % 199.49/199.86 [2192]~E(x21921,x21922)+E(f699(x21923,x21924,x21921),f699(x21923,x21924,x21922)) % 199.49/199.86 [2193]~E(x21931,x21932)+E(f880(x21931,x21933,x21934,x21935,x21936,x21937),f880(x21932,x21933,x21934,x21935,x21936,x21937)) % 199.49/199.86 [2194]~E(x21941,x21942)+E(f880(x21943,x21941,x21944,x21945,x21946,x21947),f880(x21943,x21942,x21944,x21945,x21946,x21947)) % 199.49/199.86 [2195]~E(x21951,x21952)+E(f880(x21953,x21954,x21951,x21955,x21956,x21957),f880(x21953,x21954,x21952,x21955,x21956,x21957)) % 199.49/199.86 [2196]~E(x21961,x21962)+E(f880(x21963,x21964,x21965,x21961,x21966,x21967),f880(x21963,x21964,x21965,x21962,x21966,x21967)) % 199.49/199.86 [2197]~E(x21971,x21972)+E(f880(x21973,x21974,x21975,x21976,x21971,x21977),f880(x21973,x21974,x21975,x21976,x21972,x21977)) % 199.49/199.86 [2198]~E(x21981,x21982)+E(f880(x21983,x21984,x21985,x21986,x21987,x21981),f880(x21983,x21984,x21985,x21986,x21987,x21982)) % 199.49/199.86 [2199]~E(x21991,x21992)+E(f718(x21991,x21993),f718(x21992,x21993)) % 199.49/199.86 [2200]~E(x22001,x22002)+E(f718(x22003,x22001),f718(x22003,x22002)) % 199.49/199.86 [2201]~E(x22011,x22012)+E(f915(x22011,x22013,x22014),f915(x22012,x22013,x22014)) % 199.49/199.86 [2202]~E(x22021,x22022)+E(f915(x22023,x22021,x22024),f915(x22023,x22022,x22024)) % 199.49/199.86 [2203]~E(x22031,x22032)+E(f915(x22033,x22034,x22031),f915(x22033,x22034,x22032)) % 199.49/199.86 [2204]~E(x22041,x22042)+E(f211(x22041,x22043,x22044,x22045),f211(x22042,x22043,x22044,x22045)) % 199.49/199.86 [2205]~E(x22051,x22052)+E(f211(x22053,x22051,x22054,x22055),f211(x22053,x22052,x22054,x22055)) % 199.49/199.86 [2206]~E(x22061,x22062)+E(f211(x22063,x22064,x22061,x22065),f211(x22063,x22064,x22062,x22065)) % 199.49/199.86 [2207]~E(x22071,x22072)+E(f211(x22073,x22074,x22075,x22071),f211(x22073,x22074,x22075,x22072)) % 199.49/199.86 [2208]~E(x22081,x22082)+E(f749(x22081,x22083,x22084),f749(x22082,x22083,x22084)) % 199.49/199.86 [2209]~E(x22091,x22092)+E(f749(x22093,x22091,x22094),f749(x22093,x22092,x22094)) % 199.49/199.86 [2210]~E(x22101,x22102)+E(f749(x22103,x22104,x22101),f749(x22103,x22104,x22102)) % 199.49/199.86 [2211]~E(x22111,x22112)+E(f488(x22111,x22113,x22114,x22115,x22116),f488(x22112,x22113,x22114,x22115,x22116)) % 199.49/199.86 [2212]~E(x22121,x22122)+E(f488(x22123,x22121,x22124,x22125,x22126),f488(x22123,x22122,x22124,x22125,x22126)) % 199.49/199.86 [2213]~E(x22131,x22132)+E(f488(x22133,x22134,x22131,x22135,x22136),f488(x22133,x22134,x22132,x22135,x22136)) % 199.49/199.86 [2214]~E(x22141,x22142)+E(f488(x22143,x22144,x22145,x22141,x22146),f488(x22143,x22144,x22145,x22142,x22146)) % 199.49/199.86 [2215]~E(x22151,x22152)+E(f488(x22153,x22154,x22155,x22156,x22151),f488(x22153,x22154,x22155,x22156,x22152)) % 199.49/199.86 [2216]~E(x22161,x22162)+E(f649(x22161,x22163,x22164),f649(x22162,x22163,x22164)) % 199.49/199.86 [2217]~E(x22171,x22172)+E(f649(x22173,x22171,x22174),f649(x22173,x22172,x22174)) % 199.49/199.86 [2218]~E(x22181,x22182)+E(f649(x22183,x22184,x22181),f649(x22183,x22184,x22182)) % 199.49/199.86 [2219]~E(x22191,x22192)+E(f716(x22191,x22193),f716(x22192,x22193)) % 199.49/199.86 [2220]~E(x22201,x22202)+E(f716(x22203,x22201),f716(x22203,x22202)) % 199.49/199.86 [2221]~E(x22211,x22212)+E(f152(x22211,x22213,x22214,x22215,x22216),f152(x22212,x22213,x22214,x22215,x22216)) % 199.49/199.86 [2222]~E(x22221,x22222)+E(f152(x22223,x22221,x22224,x22225,x22226),f152(x22223,x22222,x22224,x22225,x22226)) % 199.49/199.86 [2223]~E(x22231,x22232)+E(f152(x22233,x22234,x22231,x22235,x22236),f152(x22233,x22234,x22232,x22235,x22236)) % 199.49/199.86 [2224]~E(x22241,x22242)+E(f152(x22243,x22244,x22245,x22241,x22246),f152(x22243,x22244,x22245,x22242,x22246)) % 199.49/199.86 [2225]~E(x22251,x22252)+E(f152(x22253,x22254,x22255,x22256,x22251),f152(x22253,x22254,x22255,x22256,x22252)) % 199.49/199.86 [2226]~E(x22261,x22262)+E(f592(x22261,x22263,x22264,x22265,x22266,x22267),f592(x22262,x22263,x22264,x22265,x22266,x22267)) % 199.49/199.86 [2227]~E(x22271,x22272)+E(f592(x22273,x22271,x22274,x22275,x22276,x22277),f592(x22273,x22272,x22274,x22275,x22276,x22277)) % 199.49/199.86 [2228]~E(x22281,x22282)+E(f592(x22283,x22284,x22281,x22285,x22286,x22287),f592(x22283,x22284,x22282,x22285,x22286,x22287)) % 199.49/199.86 [2229]~E(x22291,x22292)+E(f592(x22293,x22294,x22295,x22291,x22296,x22297),f592(x22293,x22294,x22295,x22292,x22296,x22297)) % 199.49/199.86 [2230]~E(x22301,x22302)+E(f592(x22303,x22304,x22305,x22306,x22301,x22307),f592(x22303,x22304,x22305,x22306,x22302,x22307)) % 199.49/199.86 [2231]~E(x22311,x22312)+E(f592(x22313,x22314,x22315,x22316,x22317,x22311),f592(x22313,x22314,x22315,x22316,x22317,x22312)) % 199.49/199.86 [2232]~E(x22321,x22322)+E(f607(x22321,x22323,x22324),f607(x22322,x22323,x22324)) % 199.49/199.86 [2233]~E(x22331,x22332)+E(f607(x22333,x22331,x22334),f607(x22333,x22332,x22334)) % 199.49/199.86 [2234]~E(x22341,x22342)+E(f607(x22343,x22344,x22341),f607(x22343,x22344,x22342)) % 199.49/199.86 [2235]~E(x22351,x22352)+E(f694(x22351,x22353,x22354,x22355),f694(x22352,x22353,x22354,x22355)) % 199.49/199.86 [2236]~E(x22361,x22362)+E(f694(x22363,x22361,x22364,x22365),f694(x22363,x22362,x22364,x22365)) % 199.49/199.86 [2237]~E(x22371,x22372)+E(f694(x22373,x22374,x22371,x22375),f694(x22373,x22374,x22372,x22375)) % 199.49/199.86 [2238]~E(x22381,x22382)+E(f694(x22383,x22384,x22385,x22381),f694(x22383,x22384,x22385,x22382)) % 199.49/199.86 [2239]~E(x22391,x22392)+E(f435(x22391,x22393),f435(x22392,x22393)) % 199.49/199.86 [2240]~E(x22401,x22402)+E(f435(x22403,x22401),f435(x22403,x22402)) % 199.49/199.86 [2241]~E(x22411,x22412)+E(f563(x22411,x22413,x22414,x22415,x22416,x22417,x22418,x22419),f563(x22412,x22413,x22414,x22415,x22416,x22417,x22418,x22419)) % 199.49/199.86 [2242]~E(x22421,x22422)+E(f563(x22423,x22421,x22424,x22425,x22426,x22427,x22428,x22429),f563(x22423,x22422,x22424,x22425,x22426,x22427,x22428,x22429)) % 199.49/199.86 [2243]~E(x22431,x22432)+E(f563(x22433,x22434,x22431,x22435,x22436,x22437,x22438,x22439),f563(x22433,x22434,x22432,x22435,x22436,x22437,x22438,x22439)) % 199.49/199.86 [2244]~E(x22441,x22442)+E(f563(x22443,x22444,x22445,x22441,x22446,x22447,x22448,x22449),f563(x22443,x22444,x22445,x22442,x22446,x22447,x22448,x22449)) % 199.49/199.86 [2245]~E(x22451,x22452)+E(f563(x22453,x22454,x22455,x22456,x22451,x22457,x22458,x22459),f563(x22453,x22454,x22455,x22456,x22452,x22457,x22458,x22459)) % 199.49/199.86 [2246]~E(x22461,x22462)+E(f563(x22463,x22464,x22465,x22466,x22467,x22461,x22468,x22469),f563(x22463,x22464,x22465,x22466,x22467,x22462,x22468,x22469)) % 199.49/199.86 [2247]~E(x22471,x22472)+E(f563(x22473,x22474,x22475,x22476,x22477,x22478,x22471,x22479),f563(x22473,x22474,x22475,x22476,x22477,x22478,x22472,x22479)) % 199.49/199.86 [2248]~E(x22481,x22482)+E(f563(x22483,x22484,x22485,x22486,x22487,x22488,x22489,x22481),f563(x22483,x22484,x22485,x22486,x22487,x22488,x22489,x22482)) % 199.49/199.86 [2249]~E(x22491,x22492)+E(f120(x22491,x22493,x22494),f120(x22492,x22493,x22494)) % 199.49/199.86 [2250]~E(x22501,x22502)+E(f120(x22503,x22501,x22504),f120(x22503,x22502,x22504)) % 199.49/199.86 [2251]~E(x22511,x22512)+E(f120(x22513,x22514,x22511),f120(x22513,x22514,x22512)) % 199.49/199.86 [2252]~E(x22521,x22522)+E(f793(x22521,x22523,x22524,x22525),f793(x22522,x22523,x22524,x22525)) % 199.49/199.86 [2253]~E(x22531,x22532)+E(f793(x22533,x22531,x22534,x22535),f793(x22533,x22532,x22534,x22535)) % 199.49/199.86 [2254]~E(x22541,x22542)+E(f793(x22543,x22544,x22541,x22545),f793(x22543,x22544,x22542,x22545)) % 199.49/199.86 [2255]~E(x22551,x22552)+E(f793(x22553,x22554,x22555,x22551),f793(x22553,x22554,x22555,x22552)) % 199.49/199.86 [2256]~E(x22561,x22562)+E(f127(x22561),f127(x22562)) % 199.49/199.86 [2257]~E(x22571,x22572)+E(f721(x22571,x22573,x22574),f721(x22572,x22573,x22574)) % 199.49/199.86 [2258]~E(x22581,x22582)+E(f721(x22583,x22581,x22584),f721(x22583,x22582,x22584)) % 199.49/199.86 [2259]~E(x22591,x22592)+E(f721(x22593,x22594,x22591),f721(x22593,x22594,x22592)) % 199.49/199.86 [2260]~E(x22601,x22602)+E(f739(x22601,x22603,x22604,x22605),f739(x22602,x22603,x22604,x22605)) % 199.49/199.86 [2261]~E(x22611,x22612)+E(f739(x22613,x22611,x22614,x22615),f739(x22613,x22612,x22614,x22615)) % 199.49/199.86 [2262]~E(x22621,x22622)+E(f739(x22623,x22624,x22621,x22625),f739(x22623,x22624,x22622,x22625)) % 199.49/199.86 [2263]~E(x22631,x22632)+E(f739(x22633,x22634,x22635,x22631),f739(x22633,x22634,x22635,x22632)) % 199.49/199.86 [2264]~E(x22641,x22642)+E(f601(x22641,x22643,x22644,x22645,x22646,x22647),f601(x22642,x22643,x22644,x22645,x22646,x22647)) % 199.49/199.86 [2265]~E(x22651,x22652)+E(f601(x22653,x22651,x22654,x22655,x22656,x22657),f601(x22653,x22652,x22654,x22655,x22656,x22657)) % 199.49/199.86 [2266]~E(x22661,x22662)+E(f601(x22663,x22664,x22661,x22665,x22666,x22667),f601(x22663,x22664,x22662,x22665,x22666,x22667)) % 199.49/199.86 [2267]~E(x22671,x22672)+E(f601(x22673,x22674,x22675,x22671,x22676,x22677),f601(x22673,x22674,x22675,x22672,x22676,x22677)) % 199.49/199.86 [2268]~E(x22681,x22682)+E(f601(x22683,x22684,x22685,x22686,x22681,x22687),f601(x22683,x22684,x22685,x22686,x22682,x22687)) % 199.49/199.86 [2269]~E(x22691,x22692)+E(f601(x22693,x22694,x22695,x22696,x22697,x22691),f601(x22693,x22694,x22695,x22696,x22697,x22692)) % 199.49/199.86 [2270]~E(x22701,x22702)+E(f407(x22701,x22703,x22704,x22705),f407(x22702,x22703,x22704,x22705)) % 199.49/199.86 [2271]~E(x22711,x22712)+E(f407(x22713,x22711,x22714,x22715),f407(x22713,x22712,x22714,x22715)) % 199.49/199.86 [2272]~E(x22721,x22722)+E(f407(x22723,x22724,x22721,x22725),f407(x22723,x22724,x22722,x22725)) % 199.49/199.86 [2273]~E(x22731,x22732)+E(f407(x22733,x22734,x22735,x22731),f407(x22733,x22734,x22735,x22732)) % 199.49/199.86 [2274]~E(x22741,x22742)+E(f445(x22741,x22743,x22744,x22745,x22746),f445(x22742,x22743,x22744,x22745,x22746)) % 199.49/199.86 [2275]~E(x22751,x22752)+E(f445(x22753,x22751,x22754,x22755,x22756),f445(x22753,x22752,x22754,x22755,x22756)) % 199.49/199.86 [2276]~E(x22761,x22762)+E(f445(x22763,x22764,x22761,x22765,x22766),f445(x22763,x22764,x22762,x22765,x22766)) % 199.49/199.86 [2277]~E(x22771,x22772)+E(f445(x22773,x22774,x22775,x22771,x22776),f445(x22773,x22774,x22775,x22772,x22776)) % 199.49/199.86 [2278]~E(x22781,x22782)+E(f445(x22783,x22784,x22785,x22786,x22781),f445(x22783,x22784,x22785,x22786,x22782)) % 199.49/199.86 [2279]~E(x22791,x22792)+E(f824(x22791,x22793,x22794,x22795,x22796),f824(x22792,x22793,x22794,x22795,x22796)) % 199.49/199.86 [2280]~E(x22801,x22802)+E(f824(x22803,x22801,x22804,x22805,x22806),f824(x22803,x22802,x22804,x22805,x22806)) % 199.49/199.86 [2281]~E(x22811,x22812)+E(f824(x22813,x22814,x22811,x22815,x22816),f824(x22813,x22814,x22812,x22815,x22816)) % 199.49/199.86 [2282]~E(x22821,x22822)+E(f824(x22823,x22824,x22825,x22821,x22826),f824(x22823,x22824,x22825,x22822,x22826)) % 199.49/199.86 [2283]~E(x22831,x22832)+E(f824(x22833,x22834,x22835,x22836,x22831),f824(x22833,x22834,x22835,x22836,x22832)) % 199.49/199.86 [2284]~E(x22841,x22842)+E(f338(x22841,x22843),f338(x22842,x22843)) % 199.49/199.86 [2285]~E(x22851,x22852)+E(f338(x22853,x22851),f338(x22853,x22852)) % 199.49/199.86 [2286]~E(x22861,x22862)+E(f746(x22861,x22863,x22864,x22865),f746(x22862,x22863,x22864,x22865)) % 199.49/199.86 [2287]~E(x22871,x22872)+E(f746(x22873,x22871,x22874,x22875),f746(x22873,x22872,x22874,x22875)) % 199.49/199.86 [2288]~E(x22881,x22882)+E(f746(x22883,x22884,x22881,x22885),f746(x22883,x22884,x22882,x22885)) % 199.49/199.86 [2289]~E(x22891,x22892)+E(f746(x22893,x22894,x22895,x22891),f746(x22893,x22894,x22895,x22892)) % 199.49/199.86 [2290]~E(x22901,x22902)+E(f492(x22901,x22903,x22904,x22905),f492(x22902,x22903,x22904,x22905)) % 199.49/199.86 [2291]~E(x22911,x22912)+E(f492(x22913,x22911,x22914,x22915),f492(x22913,x22912,x22914,x22915)) % 199.49/199.86 [2292]~E(x22921,x22922)+E(f492(x22923,x22924,x22921,x22925),f492(x22923,x22924,x22922,x22925)) % 199.49/199.86 [2293]~E(x22931,x22932)+E(f492(x22933,x22934,x22935,x22931),f492(x22933,x22934,x22935,x22932)) % 199.49/199.86 [2294]~E(x22941,x22942)+E(f670(x22941,x22943,x22944),f670(x22942,x22943,x22944)) % 199.49/199.86 [2295]~E(x22951,x22952)+E(f670(x22953,x22951,x22954),f670(x22953,x22952,x22954)) % 199.49/199.86 [2296]~E(x22961,x22962)+E(f670(x22963,x22964,x22961),f670(x22963,x22964,x22962)) % 199.49/199.86 [2297]~E(x22971,x22972)+E(f564(x22971,x22973,x22974,x22975,x22976,x22977,x22978,x22979),f564(x22972,x22973,x22974,x22975,x22976,x22977,x22978,x22979)) % 199.49/199.86 [2298]~E(x22981,x22982)+E(f564(x22983,x22981,x22984,x22985,x22986,x22987,x22988,x22989),f564(x22983,x22982,x22984,x22985,x22986,x22987,x22988,x22989)) % 199.49/199.86 [2299]~E(x22991,x22992)+E(f564(x22993,x22994,x22991,x22995,x22996,x22997,x22998,x22999),f564(x22993,x22994,x22992,x22995,x22996,x22997,x22998,x22999)) % 199.49/199.86 [2300]~E(x23001,x23002)+E(f564(x23003,x23004,x23005,x23001,x23006,x23007,x23008,x23009),f564(x23003,x23004,x23005,x23002,x23006,x23007,x23008,x23009)) % 199.49/199.86 [2301]~E(x23011,x23012)+E(f564(x23013,x23014,x23015,x23016,x23011,x23017,x23018,x23019),f564(x23013,x23014,x23015,x23016,x23012,x23017,x23018,x23019)) % 199.49/199.86 [2302]~E(x23021,x23022)+E(f564(x23023,x23024,x23025,x23026,x23027,x23021,x23028,x23029),f564(x23023,x23024,x23025,x23026,x23027,x23022,x23028,x23029)) % 199.49/199.86 [2303]~E(x23031,x23032)+E(f564(x23033,x23034,x23035,x23036,x23037,x23038,x23031,x23039),f564(x23033,x23034,x23035,x23036,x23037,x23038,x23032,x23039)) % 199.49/199.86 [2304]~E(x23041,x23042)+E(f564(x23043,x23044,x23045,x23046,x23047,x23048,x23049,x23041),f564(x23043,x23044,x23045,x23046,x23047,x23048,x23049,x23042)) % 199.49/199.86 [2305]~E(x23051,x23052)+E(f707(x23051,x23053,x23054,x23055),f707(x23052,x23053,x23054,x23055)) % 199.49/199.86 [2306]~E(x23061,x23062)+E(f707(x23063,x23061,x23064,x23065),f707(x23063,x23062,x23064,x23065)) % 199.49/199.86 [2307]~E(x23071,x23072)+E(f707(x23073,x23074,x23071,x23075),f707(x23073,x23074,x23072,x23075)) % 199.49/199.86 [2308]~E(x23081,x23082)+E(f707(x23083,x23084,x23085,x23081),f707(x23083,x23084,x23085,x23082)) % 199.49/199.86 [2309]~E(x23091,x23092)+E(f900(x23091,x23093,x23094,x23095,x23096),f900(x23092,x23093,x23094,x23095,x23096)) % 199.49/199.86 [2310]~E(x23101,x23102)+E(f900(x23103,x23101,x23104,x23105,x23106),f900(x23103,x23102,x23104,x23105,x23106)) % 199.49/199.86 [2311]~E(x23111,x23112)+E(f900(x23113,x23114,x23111,x23115,x23116),f900(x23113,x23114,x23112,x23115,x23116)) % 199.49/199.86 [2312]~E(x23121,x23122)+E(f900(x23123,x23124,x23125,x23121,x23126),f900(x23123,x23124,x23125,x23122,x23126)) % 199.49/199.86 [2313]~E(x23131,x23132)+E(f900(x23133,x23134,x23135,x23136,x23131),f900(x23133,x23134,x23135,x23136,x23132)) % 199.49/199.86 [2314]~E(x23141,x23142)+E(f389(x23141,x23143,x23144),f389(x23142,x23143,x23144)) % 199.49/199.86 [2315]~E(x23151,x23152)+E(f389(x23153,x23151,x23154),f389(x23153,x23152,x23154)) % 199.49/199.86 [2316]~E(x23161,x23162)+E(f389(x23163,x23164,x23161),f389(x23163,x23164,x23162)) % 199.49/199.86 [2317]~E(x23171,x23172)+E(f659(x23171,x23173,x23174,x23175),f659(x23172,x23173,x23174,x23175)) % 199.49/199.86 [2318]~E(x23181,x23182)+E(f659(x23183,x23181,x23184,x23185),f659(x23183,x23182,x23184,x23185)) % 199.49/199.86 [2319]~E(x23191,x23192)+E(f659(x23193,x23194,x23191,x23195),f659(x23193,x23194,x23192,x23195)) % 199.49/199.86 [2320]~E(x23201,x23202)+E(f659(x23203,x23204,x23205,x23201),f659(x23203,x23204,x23205,x23202)) % 199.49/199.86 [2321]~E(x23211,x23212)+E(f241(x23211,x23213),f241(x23212,x23213)) % 199.49/199.86 [2322]~E(x23221,x23222)+E(f241(x23223,x23221),f241(x23223,x23222)) % 199.49/199.86 [2323]~E(x23231,x23232)+E(f201(x23231,x23233,x23234,x23235),f201(x23232,x23233,x23234,x23235)) % 199.49/199.86 [2324]~E(x23241,x23242)+E(f201(x23243,x23241,x23244,x23245),f201(x23243,x23242,x23244,x23245)) % 199.49/199.86 [2325]~E(x23251,x23252)+E(f201(x23253,x23254,x23251,x23255),f201(x23253,x23254,x23252,x23255)) % 199.49/199.86 [2326]~E(x23261,x23262)+E(f201(x23263,x23264,x23265,x23261),f201(x23263,x23264,x23265,x23262)) % 199.49/199.86 [2327]~E(x23271,x23272)+E(f689(x23271,x23273,x23274,x23275,x23276),f689(x23272,x23273,x23274,x23275,x23276)) % 199.49/199.86 [2328]~E(x23281,x23282)+E(f689(x23283,x23281,x23284,x23285,x23286),f689(x23283,x23282,x23284,x23285,x23286)) % 199.49/199.86 [2329]~E(x23291,x23292)+E(f689(x23293,x23294,x23291,x23295,x23296),f689(x23293,x23294,x23292,x23295,x23296)) % 199.49/199.86 [2330]~E(x23301,x23302)+E(f689(x23303,x23304,x23305,x23301,x23306),f689(x23303,x23304,x23305,x23302,x23306)) % 199.49/199.86 [2331]~E(x23311,x23312)+E(f689(x23313,x23314,x23315,x23316,x23311),f689(x23313,x23314,x23315,x23316,x23312)) % 199.49/199.86 [2332]~E(x23321,x23322)+E(f461(x23321,x23323,x23324,x23325),f461(x23322,x23323,x23324,x23325)) % 199.49/199.86 [2333]~E(x23331,x23332)+E(f461(x23333,x23331,x23334,x23335),f461(x23333,x23332,x23334,x23335)) % 199.49/199.86 [2334]~E(x23341,x23342)+E(f461(x23343,x23344,x23341,x23345),f461(x23343,x23344,x23342,x23345)) % 199.49/199.86 [2335]~E(x23351,x23352)+E(f461(x23353,x23354,x23355,x23351),f461(x23353,x23354,x23355,x23352)) % 199.49/199.86 [2336]~E(x23361,x23362)+E(f345(x23361,x23363,x23364),f345(x23362,x23363,x23364)) % 199.49/199.86 [2337]~E(x23371,x23372)+E(f345(x23373,x23371,x23374),f345(x23373,x23372,x23374)) % 199.49/199.86 [2338]~E(x23381,x23382)+E(f345(x23383,x23384,x23381),f345(x23383,x23384,x23382)) % 199.49/199.86 [2339]~E(x23391,x23392)+E(f816(x23391,x23393),f816(x23392,x23393)) % 199.49/199.86 [2340]~E(x23401,x23402)+E(f816(x23403,x23401),f816(x23403,x23402)) % 199.49/199.86 [2341]~E(x23411,x23412)+E(f637(x23411,x23413),f637(x23412,x23413)) % 199.49/199.86 [2342]~E(x23421,x23422)+E(f637(x23423,x23421),f637(x23423,x23422)) % 199.49/199.86 [2343]~E(x23431,x23432)+E(f337(x23431),f337(x23432)) % 199.49/199.86 [2344]~E(x23441,x23442)+E(f462(x23441,x23443,x23444),f462(x23442,x23443,x23444)) % 199.49/199.86 [2345]~E(x23451,x23452)+E(f462(x23453,x23451,x23454),f462(x23453,x23452,x23454)) % 199.49/199.86 [2346]~E(x23461,x23462)+E(f462(x23463,x23464,x23461),f462(x23463,x23464,x23462)) % 199.49/199.86 [2347]~E(x23471,x23472)+E(f919(x23471,x23473),f919(x23472,x23473)) % 199.49/199.86 [2348]~E(x23481,x23482)+E(f919(x23483,x23481),f919(x23483,x23482)) % 199.49/199.86 [2349]~E(x23491,x23492)+E(f296(x23491,x23493),f296(x23492,x23493)) % 199.49/199.86 [2350]~E(x23501,x23502)+E(f296(x23503,x23501),f296(x23503,x23502)) % 199.49/199.86 [2351]~E(x23511,x23512)+E(f534(x23511,x23513),f534(x23512,x23513)) % 199.49/199.86 [2352]~E(x23521,x23522)+E(f534(x23523,x23521),f534(x23523,x23522)) % 199.49/199.86 [2353]~E(x23531,x23532)+E(f436(x23531,x23533,x23534,x23535),f436(x23532,x23533,x23534,x23535)) % 199.49/199.86 [2354]~E(x23541,x23542)+E(f436(x23543,x23541,x23544,x23545),f436(x23543,x23542,x23544,x23545)) % 199.49/199.86 [2355]~E(x23551,x23552)+E(f436(x23553,x23554,x23551,x23555),f436(x23553,x23554,x23552,x23555)) % 199.49/199.86 [2356]~E(x23561,x23562)+E(f436(x23563,x23564,x23565,x23561),f436(x23563,x23564,x23565,x23562)) % 199.49/199.86 [2357]~E(x23571,x23572)+E(f651(x23571,x23573,x23574,x23575,x23576),f651(x23572,x23573,x23574,x23575,x23576)) % 199.49/199.86 [2358]~E(x23581,x23582)+E(f651(x23583,x23581,x23584,x23585,x23586),f651(x23583,x23582,x23584,x23585,x23586)) % 199.49/199.86 [2359]~E(x23591,x23592)+E(f651(x23593,x23594,x23591,x23595,x23596),f651(x23593,x23594,x23592,x23595,x23596)) % 199.49/199.86 [2360]~E(x23601,x23602)+E(f651(x23603,x23604,x23605,x23601,x23606),f651(x23603,x23604,x23605,x23602,x23606)) % 199.49/199.86 [2361]~E(x23611,x23612)+E(f651(x23613,x23614,x23615,x23616,x23611),f651(x23613,x23614,x23615,x23616,x23612)) % 199.49/199.86 [2362]~E(x23621,x23622)+E(f568(x23621,x23623,x23624,x23625),f568(x23622,x23623,x23624,x23625)) % 199.49/199.86 [2363]~E(x23631,x23632)+E(f568(x23633,x23631,x23634,x23635),f568(x23633,x23632,x23634,x23635)) % 199.49/199.86 [2364]~E(x23641,x23642)+E(f568(x23643,x23644,x23641,x23645),f568(x23643,x23644,x23642,x23645)) % 199.49/199.86 [2365]~E(x23651,x23652)+E(f568(x23653,x23654,x23655,x23651),f568(x23653,x23654,x23655,x23652)) % 199.49/199.86 [2366]~E(x23661,x23662)+E(f587(x23661,x23663,x23664),f587(x23662,x23663,x23664)) % 199.49/199.86 [2367]~E(x23671,x23672)+E(f587(x23673,x23671,x23674),f587(x23673,x23672,x23674)) % 199.49/199.86 [2368]~E(x23681,x23682)+E(f587(x23683,x23684,x23681),f587(x23683,x23684,x23682)) % 199.49/199.86 [2369]~E(x23691,x23692)+E(f713(x23691,x23693,x23694),f713(x23692,x23693,x23694)) % 199.49/199.86 [2370]~E(x23701,x23702)+E(f713(x23703,x23701,x23704),f713(x23703,x23702,x23704)) % 199.49/199.86 [2371]~E(x23711,x23712)+E(f713(x23713,x23714,x23711),f713(x23713,x23714,x23712)) % 199.49/199.86 [2372]~E(x23721,x23722)+E(f671(x23721,x23723,x23724),f671(x23722,x23723,x23724)) % 199.49/199.86 [2373]~E(x23731,x23732)+E(f671(x23733,x23731,x23734),f671(x23733,x23732,x23734)) % 199.49/199.86 [2374]~E(x23741,x23742)+E(f671(x23743,x23744,x23741),f671(x23743,x23744,x23742)) % 199.49/199.86 [2375]~E(x23751,x23752)+E(f121(x23751,x23753,x23754),f121(x23752,x23753,x23754)) % 199.49/199.86 [2376]~E(x23761,x23762)+E(f121(x23763,x23761,x23764),f121(x23763,x23762,x23764)) % 199.49/199.86 [2377]~E(x23771,x23772)+E(f121(x23773,x23774,x23771),f121(x23773,x23774,x23772)) % 199.49/199.86 [2378]~E(x23781,x23782)+E(f676(x23781,x23783),f676(x23782,x23783)) % 199.49/199.86 [2379]~E(x23791,x23792)+E(f676(x23793,x23791),f676(x23793,x23792)) % 199.49/199.86 [2380]~E(x23801,x23802)+E(f772(x23801,x23803,x23804),f772(x23802,x23803,x23804)) % 199.49/199.86 [2381]~E(x23811,x23812)+E(f772(x23813,x23811,x23814),f772(x23813,x23812,x23814)) % 199.49/199.86 [2382]~E(x23821,x23822)+E(f772(x23823,x23824,x23821),f772(x23823,x23824,x23822)) % 199.49/199.86 [2383]~E(x23831,x23832)+E(f521(x23831,x23833,x23834,x23835),f521(x23832,x23833,x23834,x23835)) % 199.49/199.86 [2384]~E(x23841,x23842)+E(f521(x23843,x23841,x23844,x23845),f521(x23843,x23842,x23844,x23845)) % 199.49/199.86 [2385]~E(x23851,x23852)+E(f521(x23853,x23854,x23851,x23855),f521(x23853,x23854,x23852,x23855)) % 199.49/199.86 [2386]~E(x23861,x23862)+E(f521(x23863,x23864,x23865,x23861),f521(x23863,x23864,x23865,x23862)) % 199.49/199.86 [2387]~E(x23871,x23872)+E(f55(x23871,x23873),f55(x23872,x23873)) % 199.49/199.86 [2388]~E(x23881,x23882)+E(f55(x23883,x23881),f55(x23883,x23882)) % 199.49/199.86 [2389]~E(x23891,x23892)+E(f684(x23891),f684(x23892)) % 199.49/199.86 [2390]~E(x23901,x23902)+E(f762(x23901,x23903,x23904),f762(x23902,x23903,x23904)) % 199.49/199.86 [2391]~E(x23911,x23912)+E(f762(x23913,x23911,x23914),f762(x23913,x23912,x23914)) % 199.49/199.86 [2392]~E(x23921,x23922)+E(f762(x23923,x23924,x23921),f762(x23923,x23924,x23922)) % 199.49/199.86 [2393]~E(x23931,x23932)+E(f392(x23931,x23933,x23934),f392(x23932,x23933,x23934)) % 199.49/199.86 [2394]~E(x23941,x23942)+E(f392(x23943,x23941,x23944),f392(x23943,x23942,x23944)) % 199.49/199.86 [2395]~E(x23951,x23952)+E(f392(x23953,x23954,x23951),f392(x23953,x23954,x23952)) % 199.49/199.86 [2396]~E(x23961,x23962)+E(f775(x23961,x23963,x23964),f775(x23962,x23963,x23964)) % 199.49/199.86 [2397]~E(x23971,x23972)+E(f775(x23973,x23971,x23974),f775(x23973,x23972,x23974)) % 199.49/199.86 [2398]~E(x23981,x23982)+E(f775(x23983,x23984,x23981),f775(x23983,x23984,x23982)) % 199.49/199.86 [2399]~E(x23991,x23992)+E(f632(x23991,x23993,x23994,x23995,x23996),f632(x23992,x23993,x23994,x23995,x23996)) % 199.49/199.86 [2400]~E(x24001,x24002)+E(f632(x24003,x24001,x24004,x24005,x24006),f632(x24003,x24002,x24004,x24005,x24006)) % 199.49/199.86 [2401]~E(x24011,x24012)+E(f632(x24013,x24014,x24011,x24015,x24016),f632(x24013,x24014,x24012,x24015,x24016)) % 199.49/199.86 [2402]~E(x24021,x24022)+E(f632(x24023,x24024,x24025,x24021,x24026),f632(x24023,x24024,x24025,x24022,x24026)) % 199.49/199.86 [2403]~E(x24031,x24032)+E(f632(x24033,x24034,x24035,x24036,x24031),f632(x24033,x24034,x24035,x24036,x24032)) % 199.49/199.86 [2404]~E(x24041,x24042)+E(f706(x24041,x24043),f706(x24042,x24043)) % 199.49/199.86 [2405]~E(x24051,x24052)+E(f706(x24053,x24051),f706(x24053,x24052)) % 199.49/199.86 [2406]~E(x24061,x24062)+E(f846(x24061,x24063,x24064),f846(x24062,x24063,x24064)) % 199.49/199.86 [2407]~E(x24071,x24072)+E(f846(x24073,x24071,x24074),f846(x24073,x24072,x24074)) % 199.49/199.86 [2408]~E(x24081,x24082)+E(f846(x24083,x24084,x24081),f846(x24083,x24084,x24082)) % 199.49/199.86 [2409]~E(x24091,x24092)+E(f831(x24091,x24093),f831(x24092,x24093)) % 199.49/199.86 [2410]~E(x24101,x24102)+E(f831(x24103,x24101),f831(x24103,x24102)) % 199.49/199.86 [2411]~E(x24111,x24112)+E(f561(x24111,x24113,x24114,x24115,x24116,x24117),f561(x24112,x24113,x24114,x24115,x24116,x24117)) % 199.49/199.86 [2412]~E(x24121,x24122)+E(f561(x24123,x24121,x24124,x24125,x24126,x24127),f561(x24123,x24122,x24124,x24125,x24126,x24127)) % 199.49/199.86 [2413]~E(x24131,x24132)+E(f561(x24133,x24134,x24131,x24135,x24136,x24137),f561(x24133,x24134,x24132,x24135,x24136,x24137)) % 199.49/199.86 [2414]~E(x24141,x24142)+E(f561(x24143,x24144,x24145,x24141,x24146,x24147),f561(x24143,x24144,x24145,x24142,x24146,x24147)) % 199.49/199.86 [2415]~E(x24151,x24152)+E(f561(x24153,x24154,x24155,x24156,x24151,x24157),f561(x24153,x24154,x24155,x24156,x24152,x24157)) % 199.49/199.86 [2416]~E(x24161,x24162)+E(f561(x24163,x24164,x24165,x24166,x24167,x24161),f561(x24163,x24164,x24165,x24166,x24167,x24162)) % 199.49/199.86 [2417]~E(x24171,x24172)+E(f202(x24171,x24173,x24174,x24175),f202(x24172,x24173,x24174,x24175)) % 199.49/199.86 [2418]~E(x24181,x24182)+E(f202(x24183,x24181,x24184,x24185),f202(x24183,x24182,x24184,x24185)) % 199.49/199.86 [2419]~E(x24191,x24192)+E(f202(x24193,x24194,x24191,x24195),f202(x24193,x24194,x24192,x24195)) % 199.49/199.86 [2420]~E(x24201,x24202)+E(f202(x24203,x24204,x24205,x24201),f202(x24203,x24204,x24205,x24202)) % 199.49/199.86 [2421]~E(x24211,x24212)+E(f894(x24211,x24213,x24214),f894(x24212,x24213,x24214)) % 199.49/199.86 [2422]~E(x24221,x24222)+E(f894(x24223,x24221,x24224),f894(x24223,x24222,x24224)) % 199.49/199.86 [2423]~E(x24231,x24232)+E(f894(x24233,x24234,x24231),f894(x24233,x24234,x24232)) % 199.49/199.86 [2424]~E(x24241,x24242)+E(f665(x24241,x24243,x24244,x24245,x24246),f665(x24242,x24243,x24244,x24245,x24246)) % 199.49/199.86 [2425]~E(x24251,x24252)+E(f665(x24253,x24251,x24254,x24255,x24256),f665(x24253,x24252,x24254,x24255,x24256)) % 199.49/199.86 [2426]~E(x24261,x24262)+E(f665(x24263,x24264,x24261,x24265,x24266),f665(x24263,x24264,x24262,x24265,x24266)) % 199.49/199.86 [2427]~E(x24271,x24272)+E(f665(x24273,x24274,x24275,x24271,x24276),f665(x24273,x24274,x24275,x24272,x24276)) % 199.49/199.86 [2428]~E(x24281,x24282)+E(f665(x24283,x24284,x24285,x24286,x24281),f665(x24283,x24284,x24285,x24286,x24282)) % 199.49/199.86 [2429]~E(x24291,x24292)+E(f804(x24291,x24293),f804(x24292,x24293)) % 199.49/199.86 [2430]~E(x24301,x24302)+E(f804(x24303,x24301),f804(x24303,x24302)) % 199.49/199.86 [2431]~E(x24311,x24312)+E(f524(x24311,x24313,x24314),f524(x24312,x24313,x24314)) % 199.49/199.86 [2432]~E(x24321,x24322)+E(f524(x24323,x24321,x24324),f524(x24323,x24322,x24324)) % 199.49/199.86 [2433]~E(x24331,x24332)+E(f524(x24333,x24334,x24331),f524(x24333,x24334,x24332)) % 199.49/199.86 [2434]~E(x24341,x24342)+E(f360(x24341,x24343),f360(x24342,x24343)) % 199.49/199.86 [2435]~E(x24351,x24352)+E(f360(x24353,x24351),f360(x24353,x24352)) % 199.49/199.86 [2436]~E(x24361,x24362)+E(f297(x24361,x24363,x24364),f297(x24362,x24363,x24364)) % 199.49/199.86 [2437]~E(x24371,x24372)+E(f297(x24373,x24371,x24374),f297(x24373,x24372,x24374)) % 199.49/199.86 [2438]~E(x24381,x24382)+E(f297(x24383,x24384,x24381),f297(x24383,x24384,x24382)) % 199.49/199.86 [2439]~E(x24391,x24392)+E(f841(x24391,x24393,x24394),f841(x24392,x24393,x24394)) % 199.49/199.86 [2440]~E(x24401,x24402)+E(f841(x24403,x24401,x24404),f841(x24403,x24402,x24404)) % 199.49/199.86 [2441]~E(x24411,x24412)+E(f841(x24413,x24414,x24411),f841(x24413,x24414,x24412)) % 199.49/199.86 [2442]~E(x24421,x24422)+E(f765(x24421,x24423,x24424),f765(x24422,x24423,x24424)) % 199.49/199.86 [2443]~E(x24431,x24432)+E(f765(x24433,x24431,x24434),f765(x24433,x24432,x24434)) % 199.49/199.86 [2444]~E(x24441,x24442)+E(f765(x24443,x24444,x24441),f765(x24443,x24444,x24442)) % 199.49/199.86 [2445]~E(x24451,x24452)+E(f268(x24451,x24453,x24454),f268(x24452,x24453,x24454)) % 199.49/199.86 [2446]~E(x24461,x24462)+E(f268(x24463,x24461,x24464),f268(x24463,x24462,x24464)) % 199.49/199.86 [2447]~E(x24471,x24472)+E(f268(x24473,x24474,x24471),f268(x24473,x24474,x24472)) % 199.49/199.86 [2448]~E(x24481,x24482)+E(f375(x24481,x24483,x24484),f375(x24482,x24483,x24484)) % 199.49/199.86 [2449]~E(x24491,x24492)+E(f375(x24493,x24491,x24494),f375(x24493,x24492,x24494)) % 199.49/199.86 [2450]~E(x24501,x24502)+E(f375(x24503,x24504,x24501),f375(x24503,x24504,x24502)) % 199.49/199.86 [2451]~E(x24511,x24512)+E(f509(x24511,x24513,x24514,x24515,x24516),f509(x24512,x24513,x24514,x24515,x24516)) % 199.49/199.86 [2452]~E(x24521,x24522)+E(f509(x24523,x24521,x24524,x24525,x24526),f509(x24523,x24522,x24524,x24525,x24526)) % 199.49/199.86 [2453]~E(x24531,x24532)+E(f509(x24533,x24534,x24531,x24535,x24536),f509(x24533,x24534,x24532,x24535,x24536)) % 199.49/199.86 [2454]~E(x24541,x24542)+E(f509(x24543,x24544,x24545,x24541,x24546),f509(x24543,x24544,x24545,x24542,x24546)) % 199.49/199.86 [2455]~E(x24551,x24552)+E(f509(x24553,x24554,x24555,x24556,x24551),f509(x24553,x24554,x24555,x24556,x24552)) % 199.49/199.86 [2456]~E(x24561,x24562)+E(f350(x24561,x24563,x24564),f350(x24562,x24563,x24564)) % 199.49/199.86 [2457]~E(x24571,x24572)+E(f350(x24573,x24571,x24574),f350(x24573,x24572,x24574)) % 199.49/199.86 [2458]~E(x24581,x24582)+E(f350(x24583,x24584,x24581),f350(x24583,x24584,x24582)) % 199.49/199.86 [2459]~E(x24591,x24592)+E(f883(x24591,x24593,x24594),f883(x24592,x24593,x24594)) % 199.49/199.86 [2460]~E(x24601,x24602)+E(f883(x24603,x24601,x24604),f883(x24603,x24602,x24604)) % 199.49/199.86 [2461]~E(x24611,x24612)+E(f883(x24613,x24614,x24611),f883(x24613,x24614,x24612)) % 199.49/199.86 [2462]~E(x24621,x24622)+E(f603(x24621,x24623,x24624,x24625,x24626),f603(x24622,x24623,x24624,x24625,x24626)) % 199.49/199.86 [2463]~E(x24631,x24632)+E(f603(x24633,x24631,x24634,x24635,x24636),f603(x24633,x24632,x24634,x24635,x24636)) % 199.49/199.86 [2464]~E(x24641,x24642)+E(f603(x24643,x24644,x24641,x24645,x24646),f603(x24643,x24644,x24642,x24645,x24646)) % 199.49/199.86 [2465]~E(x24651,x24652)+E(f603(x24653,x24654,x24655,x24651,x24656),f603(x24653,x24654,x24655,x24652,x24656)) % 199.49/199.86 [2466]~E(x24661,x24662)+E(f603(x24663,x24664,x24665,x24666,x24661),f603(x24663,x24664,x24665,x24666,x24662)) % 199.49/199.86 [2467]~E(x24671,x24672)+E(f811(x24671,x24673),f811(x24672,x24673)) % 199.49/199.86 [2468]~E(x24681,x24682)+E(f811(x24683,x24681),f811(x24683,x24682)) % 199.49/199.86 [2469]~E(x24691,x24692)+E(f347(x24691,x24693,x24694),f347(x24692,x24693,x24694)) % 199.49/199.86 [2470]~E(x24701,x24702)+E(f347(x24703,x24701,x24704),f347(x24703,x24702,x24704)) % 199.49/199.86 [2471]~E(x24711,x24712)+E(f347(x24713,x24714,x24711),f347(x24713,x24714,x24712)) % 199.49/199.86 [2472]~E(x24721,x24722)+E(f207(x24721,x24723,x24724),f207(x24722,x24723,x24724)) % 199.49/199.86 [2473]~E(x24731,x24732)+E(f207(x24733,x24731,x24734),f207(x24733,x24732,x24734)) % 199.49/199.86 [2474]~E(x24741,x24742)+E(f207(x24743,x24744,x24741),f207(x24743,x24744,x24742)) % 199.49/199.86 [2475]~E(x24751,x24752)+E(f499(x24751,x24753,x24754,x24755,x24756,x24757),f499(x24752,x24753,x24754,x24755,x24756,x24757)) % 199.49/199.86 [2476]~E(x24761,x24762)+E(f499(x24763,x24761,x24764,x24765,x24766,x24767),f499(x24763,x24762,x24764,x24765,x24766,x24767)) % 199.49/199.86 [2477]~E(x24771,x24772)+E(f499(x24773,x24774,x24771,x24775,x24776,x24777),f499(x24773,x24774,x24772,x24775,x24776,x24777)) % 199.49/199.86 [2478]~E(x24781,x24782)+E(f499(x24783,x24784,x24785,x24781,x24786,x24787),f499(x24783,x24784,x24785,x24782,x24786,x24787)) % 199.49/199.86 [2479]~E(x24791,x24792)+E(f499(x24793,x24794,x24795,x24796,x24791,x24797),f499(x24793,x24794,x24795,x24796,x24792,x24797)) % 199.49/199.86 [2480]~E(x24801,x24802)+E(f499(x24803,x24804,x24805,x24806,x24807,x24801),f499(x24803,x24804,x24805,x24806,x24807,x24802)) % 199.49/199.86 [2481]~E(x24811,x24812)+E(f517(x24811,x24813),f517(x24812,x24813)) % 199.49/199.86 [2482]~E(x24821,x24822)+E(f517(x24823,x24821),f517(x24823,x24822)) % 199.49/199.86 [2483]~E(x24831,x24832)+E(f722(x24831,x24833,x24834),f722(x24832,x24833,x24834)) % 199.49/199.86 [2484]~E(x24841,x24842)+E(f722(x24843,x24841,x24844),f722(x24843,x24842,x24844)) % 199.49/199.86 [2485]~E(x24851,x24852)+E(f722(x24853,x24854,x24851),f722(x24853,x24854,x24852)) % 199.49/199.86 [2486]~E(x24861,x24862)+E(f274(x24861,x24863,x24864,x24865),f274(x24862,x24863,x24864,x24865)) % 199.49/199.86 [2487]~E(x24871,x24872)+E(f274(x24873,x24871,x24874,x24875),f274(x24873,x24872,x24874,x24875)) % 199.49/199.86 [2488]~E(x24881,x24882)+E(f274(x24883,x24884,x24881,x24885),f274(x24883,x24884,x24882,x24885)) % 199.49/199.86 [2489]~E(x24891,x24892)+E(f274(x24893,x24894,x24895,x24891),f274(x24893,x24894,x24895,x24892)) % 199.49/199.86 [2490]~E(x24901,x24902)+E(f429(x24901,x24903),f429(x24902,x24903)) % 199.49/199.86 [2491]~E(x24911,x24912)+E(f429(x24913,x24911),f429(x24913,x24912)) % 199.49/199.86 [2492]~E(x24921,x24922)+E(f629(x24921,x24923,x24924,x24925,x24926),f629(x24922,x24923,x24924,x24925,x24926)) % 199.49/199.86 [2493]~E(x24931,x24932)+E(f629(x24933,x24931,x24934,x24935,x24936),f629(x24933,x24932,x24934,x24935,x24936)) % 199.49/199.86 [2494]~E(x24941,x24942)+E(f629(x24943,x24944,x24941,x24945,x24946),f629(x24943,x24944,x24942,x24945,x24946)) % 199.49/199.86 [2495]~E(x24951,x24952)+E(f629(x24953,x24954,x24955,x24951,x24956),f629(x24953,x24954,x24955,x24952,x24956)) % 199.49/199.86 [2496]~E(x24961,x24962)+E(f629(x24963,x24964,x24965,x24966,x24961),f629(x24963,x24964,x24965,x24966,x24962)) % 199.49/199.86 [2497]~E(x24971,x24972)+E(f512(x24971,x24973,x24974,x24975,x24976),f512(x24972,x24973,x24974,x24975,x24976)) % 199.49/199.86 [2498]~E(x24981,x24982)+E(f512(x24983,x24981,x24984,x24985,x24986),f512(x24983,x24982,x24984,x24985,x24986)) % 199.49/199.86 [2499]~E(x24991,x24992)+E(f512(x24993,x24994,x24991,x24995,x24996),f512(x24993,x24994,x24992,x24995,x24996)) % 199.49/199.86 [2500]~E(x25001,x25002)+E(f512(x25003,x25004,x25005,x25001,x25006),f512(x25003,x25004,x25005,x25002,x25006)) % 199.49/199.86 [2501]~E(x25011,x25012)+E(f512(x25013,x25014,x25015,x25016,x25011),f512(x25013,x25014,x25015,x25016,x25012)) % 199.49/199.86 [2502]~E(x25021,x25022)+E(f616(x25021,x25023,x25024,x25025,x25026,x25027,x25028,x25029),f616(x25022,x25023,x25024,x25025,x25026,x25027,x25028,x25029)) % 199.49/199.86 [2503]~E(x25031,x25032)+E(f616(x25033,x25031,x25034,x25035,x25036,x25037,x25038,x25039),f616(x25033,x25032,x25034,x25035,x25036,x25037,x25038,x25039)) % 199.49/199.86 [2504]~E(x25041,x25042)+E(f616(x25043,x25044,x25041,x25045,x25046,x25047,x25048,x25049),f616(x25043,x25044,x25042,x25045,x25046,x25047,x25048,x25049)) % 199.49/199.86 [2505]~E(x25051,x25052)+E(f616(x25053,x25054,x25055,x25051,x25056,x25057,x25058,x25059),f616(x25053,x25054,x25055,x25052,x25056,x25057,x25058,x25059)) % 199.49/199.86 [2506]~E(x25061,x25062)+E(f616(x25063,x25064,x25065,x25066,x25061,x25067,x25068,x25069),f616(x25063,x25064,x25065,x25066,x25062,x25067,x25068,x25069)) % 199.49/199.86 [2507]~E(x25071,x25072)+E(f616(x25073,x25074,x25075,x25076,x25077,x25071,x25078,x25079),f616(x25073,x25074,x25075,x25076,x25077,x25072,x25078,x25079)) % 199.49/199.86 [2508]~E(x25081,x25082)+E(f616(x25083,x25084,x25085,x25086,x25087,x25088,x25081,x25089),f616(x25083,x25084,x25085,x25086,x25087,x25088,x25082,x25089)) % 199.49/199.86 [2509]~E(x25091,x25092)+E(f616(x25093,x25094,x25095,x25096,x25097,x25098,x25099,x25091),f616(x25093,x25094,x25095,x25096,x25097,x25098,x25099,x25092)) % 199.49/199.86 [2510]~E(x25101,x25102)+E(f400(x25101,x25103,x25104),f400(x25102,x25103,x25104)) % 199.49/199.86 [2511]~E(x25111,x25112)+E(f400(x25113,x25111,x25114),f400(x25113,x25112,x25114)) % 199.49/199.86 [2512]~E(x25121,x25122)+E(f400(x25123,x25124,x25121),f400(x25123,x25124,x25122)) % 199.49/199.86 [2513]~E(x25131,x25132)+E(f368(x25131,x25133,x25134),f368(x25132,x25133,x25134)) % 199.49/199.86 [2514]~E(x25141,x25142)+E(f368(x25143,x25141,x25144),f368(x25143,x25142,x25144)) % 199.49/199.86 [2515]~E(x25151,x25152)+E(f368(x25153,x25154,x25151),f368(x25153,x25154,x25152)) % 199.49/199.86 [2516]~E(x25161,x25162)+E(f507(x25161,x25163,x25164,x25165),f507(x25162,x25163,x25164,x25165)) % 199.49/199.86 [2517]~E(x25171,x25172)+E(f507(x25173,x25171,x25174,x25175),f507(x25173,x25172,x25174,x25175)) % 199.49/199.86 [2518]~E(x25181,x25182)+E(f507(x25183,x25184,x25181,x25185),f507(x25183,x25184,x25182,x25185)) % 199.49/199.86 [2519]~E(x25191,x25192)+E(f507(x25193,x25194,x25195,x25191),f507(x25193,x25194,x25195,x25192)) % 199.49/199.86 [2520]~E(x25201,x25202)+E(f441(x25201,x25203,x25204,x25205),f441(x25202,x25203,x25204,x25205)) % 199.49/199.86 [2521]~E(x25211,x25212)+E(f441(x25213,x25211,x25214,x25215),f441(x25213,x25212,x25214,x25215)) % 199.49/199.86 [2522]~E(x25221,x25222)+E(f441(x25223,x25224,x25221,x25225),f441(x25223,x25224,x25222,x25225)) % 199.49/199.86 [2523]~E(x25231,x25232)+E(f441(x25233,x25234,x25235,x25231),f441(x25233,x25234,x25235,x25232)) % 199.49/199.86 [2524]~E(x25241,x25242)+E(f528(x25241,x25243),f528(x25242,x25243)) % 199.49/199.86 [2525]~E(x25251,x25252)+E(f528(x25253,x25251),f528(x25253,x25252)) % 199.49/199.86 [2526]~E(x25261,x25262)+E(f799(x25261,x25263),f799(x25262,x25263)) % 199.49/199.86 [2527]~E(x25271,x25272)+E(f799(x25273,x25271),f799(x25273,x25272)) % 199.49/199.86 [2528]~E(x25281,x25282)+E(f828(x25281,x25283),f828(x25282,x25283)) % 199.49/199.86 [2529]~E(x25291,x25292)+E(f828(x25293,x25291),f828(x25293,x25292)) % 199.49/199.86 [2530]~E(x25301,x25302)+E(f427(x25301,x25303,x25304),f427(x25302,x25303,x25304)) % 199.49/199.86 [2531]~E(x25311,x25312)+E(f427(x25313,x25311,x25314),f427(x25313,x25312,x25314)) % 199.49/199.86 [2532]~E(x25321,x25322)+E(f427(x25323,x25324,x25321),f427(x25323,x25324,x25322)) % 199.49/199.86 [2533]~E(x25331,x25332)+E(f522(x25331,x25333,x25334,x25335,x25336),f522(x25332,x25333,x25334,x25335,x25336)) % 199.49/199.86 [2534]~E(x25341,x25342)+E(f522(x25343,x25341,x25344,x25345,x25346),f522(x25343,x25342,x25344,x25345,x25346)) % 199.49/199.86 [2535]~E(x25351,x25352)+E(f522(x25353,x25354,x25351,x25355,x25356),f522(x25353,x25354,x25352,x25355,x25356)) % 199.49/199.86 [2536]~E(x25361,x25362)+E(f522(x25363,x25364,x25365,x25361,x25366),f522(x25363,x25364,x25365,x25362,x25366)) % 199.49/199.86 [2537]~E(x25371,x25372)+E(f522(x25373,x25374,x25375,x25376,x25371),f522(x25373,x25374,x25375,x25376,x25372)) % 199.49/199.86 [2538]~E(x25381,x25382)+E(f635(x25381,x25383,x25384,x25385,x25386),f635(x25382,x25383,x25384,x25385,x25386)) % 199.49/199.86 [2539]~E(x25391,x25392)+E(f635(x25393,x25391,x25394,x25395,x25396),f635(x25393,x25392,x25394,x25395,x25396)) % 199.49/199.86 [2540]~E(x25401,x25402)+E(f635(x25403,x25404,x25401,x25405,x25406),f635(x25403,x25404,x25402,x25405,x25406)) % 199.49/199.86 [2541]~E(x25411,x25412)+E(f635(x25413,x25414,x25415,x25411,x25416),f635(x25413,x25414,x25415,x25412,x25416)) % 199.49/199.86 [2542]~E(x25421,x25422)+E(f635(x25423,x25424,x25425,x25426,x25421),f635(x25423,x25424,x25425,x25426,x25422)) % 199.49/199.86 [2543]~E(x25431,x25432)+E(f821(x25431,x25433,x25434),f821(x25432,x25433,x25434)) % 199.49/199.86 [2544]~E(x25441,x25442)+E(f821(x25443,x25441,x25444),f821(x25443,x25442,x25444)) % 199.49/199.86 [2545]~E(x25451,x25452)+E(f821(x25453,x25454,x25451),f821(x25453,x25454,x25452)) % 199.49/199.86 [2546]~E(x25461,x25462)+E(f422(x25461,x25463,x25464,x25465,x25466),f422(x25462,x25463,x25464,x25465,x25466)) % 199.49/199.86 [2547]~E(x25471,x25472)+E(f422(x25473,x25471,x25474,x25475,x25476),f422(x25473,x25472,x25474,x25475,x25476)) % 199.49/199.86 [2548]~E(x25481,x25482)+E(f422(x25483,x25484,x25481,x25485,x25486),f422(x25483,x25484,x25482,x25485,x25486)) % 199.49/199.86 [2549]~E(x25491,x25492)+E(f422(x25493,x25494,x25495,x25491,x25496),f422(x25493,x25494,x25495,x25492,x25496)) % 199.49/199.86 [2550]~E(x25501,x25502)+E(f422(x25503,x25504,x25505,x25506,x25501),f422(x25503,x25504,x25505,x25506,x25502)) % 199.49/199.86 [2551]~E(x25511,x25512)+E(f482(x25511,x25513,x25514,x25515),f482(x25512,x25513,x25514,x25515)) % 199.49/199.86 [2552]~E(x25521,x25522)+E(f482(x25523,x25521,x25524,x25525),f482(x25523,x25522,x25524,x25525)) % 199.49/199.86 [2553]~E(x25531,x25532)+E(f482(x25533,x25534,x25531,x25535),f482(x25533,x25534,x25532,x25535)) % 199.49/199.86 [2554]~E(x25541,x25542)+E(f482(x25543,x25544,x25545,x25541),f482(x25543,x25544,x25545,x25542)) % 199.49/199.86 [2555]~E(x25551,x25552)+E(f426(x25551,x25553,x25554),f426(x25552,x25553,x25554)) % 199.49/199.86 [2556]~E(x25561,x25562)+E(f426(x25563,x25561,x25564),f426(x25563,x25562,x25564)) % 199.49/199.86 [2557]~E(x25571,x25572)+E(f426(x25573,x25574,x25571),f426(x25573,x25574,x25572)) % 199.49/199.86 [2558]~E(x25581,x25582)+E(f476(x25581,x25583,x25584,x25585),f476(x25582,x25583,x25584,x25585)) % 199.49/199.86 [2559]~E(x25591,x25592)+E(f476(x25593,x25591,x25594,x25595),f476(x25593,x25592,x25594,x25595)) % 199.49/199.86 [2560]~E(x25601,x25602)+E(f476(x25603,x25604,x25601,x25605),f476(x25603,x25604,x25602,x25605)) % 199.49/199.86 [2561]~E(x25611,x25612)+E(f476(x25613,x25614,x25615,x25611),f476(x25613,x25614,x25615,x25612)) % 199.49/199.86 [2562]~E(x25621,x25622)+E(f903(x25621,x25623,x25624,x25625,x25626),f903(x25622,x25623,x25624,x25625,x25626)) % 199.49/199.86 [2563]~E(x25631,x25632)+E(f903(x25633,x25631,x25634,x25635,x25636),f903(x25633,x25632,x25634,x25635,x25636)) % 199.49/199.86 [2564]~E(x25641,x25642)+E(f903(x25643,x25644,x25641,x25645,x25646),f903(x25643,x25644,x25642,x25645,x25646)) % 199.49/199.86 [2565]~E(x25651,x25652)+E(f903(x25653,x25654,x25655,x25651,x25656),f903(x25653,x25654,x25655,x25652,x25656)) % 199.49/199.86 [2566]~E(x25661,x25662)+E(f903(x25663,x25664,x25665,x25666,x25661),f903(x25663,x25664,x25665,x25666,x25662)) % 199.49/199.86 [2567]~E(x25671,x25672)+E(f467(x25671,x25673,x25674,x25675),f467(x25672,x25673,x25674,x25675)) % 199.49/199.86 [2568]~E(x25681,x25682)+E(f467(x25683,x25681,x25684,x25685),f467(x25683,x25682,x25684,x25685)) % 199.49/199.86 [2569]~E(x25691,x25692)+E(f467(x25693,x25694,x25691,x25695),f467(x25693,x25694,x25692,x25695)) % 199.49/199.86 [2570]~E(x25701,x25702)+E(f467(x25703,x25704,x25705,x25701),f467(x25703,x25704,x25705,x25702)) % 199.49/199.86 [2571]~E(x25711,x25712)+E(f473(x25711,x25713,x25714,x25715),f473(x25712,x25713,x25714,x25715)) % 199.49/199.86 [2572]~E(x25721,x25722)+E(f473(x25723,x25721,x25724,x25725),f473(x25723,x25722,x25724,x25725)) % 199.49/199.86 [2573]~E(x25731,x25732)+E(f473(x25733,x25734,x25731,x25735),f473(x25733,x25734,x25732,x25735)) % 199.49/199.86 [2574]~E(x25741,x25742)+E(f473(x25743,x25744,x25745,x25741),f473(x25743,x25744,x25745,x25742)) % 199.49/199.86 [2575]~E(x25751,x25752)+E(f459(x25751,x25753,x25754,x25755),f459(x25752,x25753,x25754,x25755)) % 199.49/199.86 [2576]~E(x25761,x25762)+E(f459(x25763,x25761,x25764,x25765),f459(x25763,x25762,x25764,x25765)) % 199.49/199.86 [2577]~E(x25771,x25772)+E(f459(x25773,x25774,x25771,x25775),f459(x25773,x25774,x25772,x25775)) % 199.49/199.86 [2578]~E(x25781,x25782)+E(f459(x25783,x25784,x25785,x25781),f459(x25783,x25784,x25785,x25782)) % 199.49/199.86 [2579]~E(x25791,x25792)+E(f819(x25791),f819(x25792)) % 199.49/199.86 [2580]~E(x25801,x25802)+E(f687(x25801,x25803,x25804,x25805),f687(x25802,x25803,x25804,x25805)) % 199.49/199.86 [2581]~E(x25811,x25812)+E(f687(x25813,x25811,x25814,x25815),f687(x25813,x25812,x25814,x25815)) % 199.49/199.86 [2582]~E(x25821,x25822)+E(f687(x25823,x25824,x25821,x25825),f687(x25823,x25824,x25822,x25825)) % 199.49/199.86 [2583]~E(x25831,x25832)+E(f687(x25833,x25834,x25835,x25831),f687(x25833,x25834,x25835,x25832)) % 199.49/199.86 [2584]~E(x25841,x25842)+E(f646(x25841,x25843,x25844),f646(x25842,x25843,x25844)) % 199.49/199.86 [2585]~E(x25851,x25852)+E(f646(x25853,x25851,x25854),f646(x25853,x25852,x25854)) % 199.49/199.86 [2586]~E(x25861,x25862)+E(f646(x25863,x25864,x25861),f646(x25863,x25864,x25862)) % 199.49/199.86 [2587]~E(x25871,x25872)+E(f230(x25871,x25873,x25874,x25875,x25876),f230(x25872,x25873,x25874,x25875,x25876)) % 199.49/199.86 [2588]~E(x25881,x25882)+E(f230(x25883,x25881,x25884,x25885,x25886),f230(x25883,x25882,x25884,x25885,x25886)) % 199.49/199.86 [2589]~E(x25891,x25892)+E(f230(x25893,x25894,x25891,x25895,x25896),f230(x25893,x25894,x25892,x25895,x25896)) % 199.49/199.86 [2590]~E(x25901,x25902)+E(f230(x25903,x25904,x25905,x25901,x25906),f230(x25903,x25904,x25905,x25902,x25906)) % 199.49/199.86 [2591]~E(x25911,x25912)+E(f230(x25913,x25914,x25915,x25916,x25911),f230(x25913,x25914,x25915,x25916,x25912)) % 199.49/199.86 [2592]~E(x25921,x25922)+E(f302(x25921,x25923,x25924,x25925),f302(x25922,x25923,x25924,x25925)) % 199.49/199.86 [2593]~E(x25931,x25932)+E(f302(x25933,x25931,x25934,x25935),f302(x25933,x25932,x25934,x25935)) % 199.49/199.86 [2594]~E(x25941,x25942)+E(f302(x25943,x25944,x25941,x25945),f302(x25943,x25944,x25942,x25945)) % 199.49/199.86 [2595]~E(x25951,x25952)+E(f302(x25953,x25954,x25955,x25951),f302(x25953,x25954,x25955,x25952)) % 199.49/199.86 [2596]~E(x25961,x25962)+E(f68(x25961,x25963,x25964),f68(x25962,x25963,x25964)) % 199.49/199.86 [2597]~E(x25971,x25972)+E(f68(x25973,x25971,x25974),f68(x25973,x25972,x25974)) % 199.49/199.86 [2598]~E(x25981,x25982)+E(f68(x25983,x25984,x25981),f68(x25983,x25984,x25982)) % 199.49/199.86 [2599]~E(x25991,x25992)+E(f911(x25991,x25993),f911(x25992,x25993)) % 199.49/199.86 [2600]~E(x26001,x26002)+E(f911(x26003,x26001),f911(x26003,x26002)) % 199.49/199.86 [2601]~E(x26011,x26012)+E(f134(x26011,x26013,x26014,x26015),f134(x26012,x26013,x26014,x26015)) % 199.49/199.86 [2602]~E(x26021,x26022)+E(f134(x26023,x26021,x26024,x26025),f134(x26023,x26022,x26024,x26025)) % 199.49/199.86 [2603]~E(x26031,x26032)+E(f134(x26033,x26034,x26031,x26035),f134(x26033,x26034,x26032,x26035)) % 199.49/199.86 [2604]~E(x26041,x26042)+E(f134(x26043,x26044,x26045,x26041),f134(x26043,x26044,x26045,x26042)) % 199.49/199.86 [2605]~E(x26051,x26052)+E(f133(x26051,x26053,x26054,x26055),f133(x26052,x26053,x26054,x26055)) % 199.49/199.86 [2606]~E(x26061,x26062)+E(f133(x26063,x26061,x26064,x26065),f133(x26063,x26062,x26064,x26065)) % 199.49/199.86 [2607]~E(x26071,x26072)+E(f133(x26073,x26074,x26071,x26075),f133(x26073,x26074,x26072,x26075)) % 199.49/199.86 [2608]~E(x26081,x26082)+E(f133(x26083,x26084,x26085,x26081),f133(x26083,x26084,x26085,x26082)) % 199.49/199.86 [2609]~E(x26091,x26092)+E(f480(x26091,x26093,x26094,x26095),f480(x26092,x26093,x26094,x26095)) % 199.49/199.86 [2610]~E(x26101,x26102)+E(f480(x26103,x26101,x26104,x26105),f480(x26103,x26102,x26104,x26105)) % 199.49/199.86 [2611]~E(x26111,x26112)+E(f480(x26113,x26114,x26111,x26115),f480(x26113,x26114,x26112,x26115)) % 199.49/199.86 [2612]~E(x26121,x26122)+E(f480(x26123,x26124,x26125,x26121),f480(x26123,x26124,x26125,x26122)) % 199.49/199.86 [2613]~E(x26131,x26132)+E(f906(x26131,x26133,x26134,x26135,x26136,x26137,x26138),f906(x26132,x26133,x26134,x26135,x26136,x26137,x26138)) % 199.49/199.86 [2614]~E(x26141,x26142)+E(f906(x26143,x26141,x26144,x26145,x26146,x26147,x26148),f906(x26143,x26142,x26144,x26145,x26146,x26147,x26148)) % 199.49/199.86 [2615]~E(x26151,x26152)+E(f906(x26153,x26154,x26151,x26155,x26156,x26157,x26158),f906(x26153,x26154,x26152,x26155,x26156,x26157,x26158)) % 199.49/199.86 [2616]~E(x26161,x26162)+E(f906(x26163,x26164,x26165,x26161,x26166,x26167,x26168),f906(x26163,x26164,x26165,x26162,x26166,x26167,x26168)) % 199.49/199.86 [2617]~E(x26171,x26172)+E(f906(x26173,x26174,x26175,x26176,x26171,x26177,x26178),f906(x26173,x26174,x26175,x26176,x26172,x26177,x26178)) % 199.49/199.86 [2618]~E(x26181,x26182)+E(f906(x26183,x26184,x26185,x26186,x26187,x26181,x26188),f906(x26183,x26184,x26185,x26186,x26187,x26182,x26188)) % 199.49/199.86 [2619]~E(x26191,x26192)+E(f906(x26193,x26194,x26195,x26196,x26197,x26198,x26191),f906(x26193,x26194,x26195,x26196,x26197,x26198,x26192)) % 199.49/199.86 [2620]~E(x26201,x26202)+E(f758(x26201,x26203,x26204,x26205,x26206),f758(x26202,x26203,x26204,x26205,x26206)) % 199.49/199.86 [2621]~E(x26211,x26212)+E(f758(x26213,x26211,x26214,x26215,x26216),f758(x26213,x26212,x26214,x26215,x26216)) % 199.49/199.86 [2622]~E(x26221,x26222)+E(f758(x26223,x26224,x26221,x26225,x26226),f758(x26223,x26224,x26222,x26225,x26226)) % 199.49/199.86 [2623]~E(x26231,x26232)+E(f758(x26233,x26234,x26235,x26231,x26236),f758(x26233,x26234,x26235,x26232,x26236)) % 199.49/199.86 [2624]~E(x26241,x26242)+E(f758(x26243,x26244,x26245,x26246,x26241),f758(x26243,x26244,x26245,x26246,x26242)) % 199.49/199.86 [2625]~E(x26251,x26252)+E(f540(x26251,x26253,x26254),f540(x26252,x26253,x26254)) % 199.49/199.86 [2626]~E(x26261,x26262)+E(f540(x26263,x26261,x26264),f540(x26263,x26262,x26264)) % 199.49/199.86 [2627]~E(x26271,x26272)+E(f540(x26273,x26274,x26271),f540(x26273,x26274,x26272)) % 199.49/199.86 [2628]~E(x26281,x26282)+E(f496(x26281,x26283,x26284,x26285,x26286),f496(x26282,x26283,x26284,x26285,x26286)) % 199.49/199.86 [2629]~E(x26291,x26292)+E(f496(x26293,x26291,x26294,x26295,x26296),f496(x26293,x26292,x26294,x26295,x26296)) % 199.49/199.86 [2630]~E(x26301,x26302)+E(f496(x26303,x26304,x26301,x26305,x26306),f496(x26303,x26304,x26302,x26305,x26306)) % 199.49/199.86 [2631]~E(x26311,x26312)+E(f496(x26313,x26314,x26315,x26311,x26316),f496(x26313,x26314,x26315,x26312,x26316)) % 199.49/199.86 [2632]~E(x26321,x26322)+E(f496(x26323,x26324,x26325,x26326,x26321),f496(x26323,x26324,x26325,x26326,x26322)) % 199.49/199.86 [2633]~E(x26331,x26332)+E(f639(x26331,x26333,x26334,x26335),f639(x26332,x26333,x26334,x26335)) % 199.49/199.86 [2634]~E(x26341,x26342)+E(f639(x26343,x26341,x26344,x26345),f639(x26343,x26342,x26344,x26345)) % 199.49/199.86 [2635]~E(x26351,x26352)+E(f639(x26353,x26354,x26351,x26355),f639(x26353,x26354,x26352,x26355)) % 199.49/199.86 [2636]~E(x26361,x26362)+E(f639(x26363,x26364,x26365,x26361),f639(x26363,x26364,x26365,x26362)) % 199.49/199.86 [2637]~E(x26371,x26372)+E(f590(x26371,x26373,x26374,x26375,x26376,x26377),f590(x26372,x26373,x26374,x26375,x26376,x26377)) % 199.49/199.86 [2638]~E(x26381,x26382)+E(f590(x26383,x26381,x26384,x26385,x26386,x26387),f590(x26383,x26382,x26384,x26385,x26386,x26387)) % 199.49/199.86 [2639]~E(x26391,x26392)+E(f590(x26393,x26394,x26391,x26395,x26396,x26397),f590(x26393,x26394,x26392,x26395,x26396,x26397)) % 199.49/199.86 [2640]~E(x26401,x26402)+E(f590(x26403,x26404,x26405,x26401,x26406,x26407),f590(x26403,x26404,x26405,x26402,x26406,x26407)) % 199.49/199.86 [2641]~E(x26411,x26412)+E(f590(x26413,x26414,x26415,x26416,x26411,x26417),f590(x26413,x26414,x26415,x26416,x26412,x26417)) % 199.49/199.86 [2642]~E(x26421,x26422)+E(f590(x26423,x26424,x26425,x26426,x26427,x26421),f590(x26423,x26424,x26425,x26426,x26427,x26422)) % 199.49/199.86 [2643]~E(x26431,x26432)+E(f235(x26431,x26433,x26434,x26435),f235(x26432,x26433,x26434,x26435)) % 199.49/199.86 [2644]~E(x26441,x26442)+E(f235(x26443,x26441,x26444,x26445),f235(x26443,x26442,x26444,x26445)) % 199.49/199.86 [2645]~E(x26451,x26452)+E(f235(x26453,x26454,x26451,x26455),f235(x26453,x26454,x26452,x26455)) % 199.49/199.86 [2646]~E(x26461,x26462)+E(f235(x26463,x26464,x26465,x26461),f235(x26463,x26464,x26465,x26462)) % 199.49/199.86 [2647]~E(x26471,x26472)+E(f335(x26471),f335(x26472)) % 199.49/199.86 [2648]~E(x26481,x26482)+E(f767(x26481,x26483,x26484),f767(x26482,x26483,x26484)) % 199.49/199.86 [2649]~E(x26491,x26492)+E(f767(x26493,x26491,x26494),f767(x26493,x26492,x26494)) % 199.49/199.86 [2650]~E(x26501,x26502)+E(f767(x26503,x26504,x26501),f767(x26503,x26504,x26502)) % 199.49/199.86 [2651]~E(x26511,x26512)+E(f913(x26511,x26513),f913(x26512,x26513)) % 199.49/199.86 [2652]~E(x26521,x26522)+E(f913(x26523,x26521),f913(x26523,x26522)) % 199.49/199.86 [2653]~E(x26531,x26532)+E(f212(x26531,x26533,x26534,x26535,x26536,x26537,x26538),f212(x26532,x26533,x26534,x26535,x26536,x26537,x26538)) % 199.49/199.86 [2654]~E(x26541,x26542)+E(f212(x26543,x26541,x26544,x26545,x26546,x26547,x26548),f212(x26543,x26542,x26544,x26545,x26546,x26547,x26548)) % 199.49/199.86 [2655]~E(x26551,x26552)+E(f212(x26553,x26554,x26551,x26555,x26556,x26557,x26558),f212(x26553,x26554,x26552,x26555,x26556,x26557,x26558)) % 199.49/199.86 [2656]~E(x26561,x26562)+E(f212(x26563,x26564,x26565,x26561,x26566,x26567,x26568),f212(x26563,x26564,x26565,x26562,x26566,x26567,x26568)) % 199.49/199.86 [2657]~E(x26571,x26572)+E(f212(x26573,x26574,x26575,x26576,x26571,x26577,x26578),f212(x26573,x26574,x26575,x26576,x26572,x26577,x26578)) % 199.49/199.86 [2658]~E(x26581,x26582)+E(f212(x26583,x26584,x26585,x26586,x26587,x26581,x26588),f212(x26583,x26584,x26585,x26586,x26587,x26582,x26588)) % 199.49/199.86 [2659]~E(x26591,x26592)+E(f212(x26593,x26594,x26595,x26596,x26597,x26598,x26591),f212(x26593,x26594,x26595,x26596,x26597,x26598,x26592)) % 199.49/199.86 [2660]~E(x26601,x26602)+E(f98(x26601,x26603,x26604,x26605),f98(x26602,x26603,x26604,x26605)) % 199.49/199.86 [2661]~E(x26611,x26612)+E(f98(x26613,x26611,x26614,x26615),f98(x26613,x26612,x26614,x26615)) % 199.49/199.86 [2662]~E(x26621,x26622)+E(f98(x26623,x26624,x26621,x26625),f98(x26623,x26624,x26622,x26625)) % 199.49/199.86 [2663]~E(x26631,x26632)+E(f98(x26633,x26634,x26635,x26631),f98(x26633,x26634,x26635,x26632)) % 199.49/199.86 [2664]~E(x26641,x26642)+E(f395(x26641,x26643),f395(x26642,x26643)) % 199.49/199.86 [2665]~E(x26651,x26652)+E(f395(x26653,x26651),f395(x26653,x26652)) % 199.49/199.86 [2666]~E(x26661,x26662)+E(f452(x26661,x26663,x26664),f452(x26662,x26663,x26664)) % 199.49/199.86 [2667]~E(x26671,x26672)+E(f452(x26673,x26671,x26674),f452(x26673,x26672,x26674)) % 199.49/199.86 [2668]~E(x26681,x26682)+E(f452(x26683,x26684,x26681),f452(x26683,x26684,x26682)) % 199.49/199.86 [2669]~E(x26691,x26692)+E(f497(x26691,x26693,x26694),f497(x26692,x26693,x26694)) % 199.49/199.86 [2670]~E(x26701,x26702)+E(f497(x26703,x26701,x26704),f497(x26703,x26702,x26704)) % 199.49/199.86 [2671]~E(x26711,x26712)+E(f497(x26713,x26714,x26711),f497(x26713,x26714,x26712)) % 199.49/199.86 [2672]~E(x26721,x26722)+E(f280(x26721,x26723,x26724,x26725),f280(x26722,x26723,x26724,x26725)) % 199.49/199.86 [2673]~E(x26731,x26732)+E(f280(x26733,x26731,x26734,x26735),f280(x26733,x26732,x26734,x26735)) % 199.49/199.86 [2674]~E(x26741,x26742)+E(f280(x26743,x26744,x26741,x26745),f280(x26743,x26744,x26742,x26745)) % 199.49/199.86 [2675]~E(x26751,x26752)+E(f280(x26753,x26754,x26755,x26751),f280(x26753,x26754,x26755,x26752)) % 199.49/199.86 [2676]~E(x26761,x26762)+E(f382(x26761,x26763,x26764,x26765),f382(x26762,x26763,x26764,x26765)) % 199.49/199.86 [2677]~E(x26771,x26772)+E(f382(x26773,x26771,x26774,x26775),f382(x26773,x26772,x26774,x26775)) % 199.49/199.86 [2678]~E(x26781,x26782)+E(f382(x26783,x26784,x26781,x26785),f382(x26783,x26784,x26782,x26785)) % 199.49/199.86 [2679]~E(x26791,x26792)+E(f382(x26793,x26794,x26795,x26791),f382(x26793,x26794,x26795,x26792)) % 199.49/199.86 [2680]~E(x26801,x26802)+E(f45(x26801),f45(x26802)) % 199.49/199.86 [2681]~E(x26811,x26812)+E(f543(x26811,x26813,x26814,x26815),f543(x26812,x26813,x26814,x26815)) % 199.49/199.86 [2682]~E(x26821,x26822)+E(f543(x26823,x26821,x26824,x26825),f543(x26823,x26822,x26824,x26825)) % 199.49/199.86 [2683]~E(x26831,x26832)+E(f543(x26833,x26834,x26831,x26835),f543(x26833,x26834,x26832,x26835)) % 199.49/199.86 [2684]~E(x26841,x26842)+E(f543(x26843,x26844,x26845,x26841),f543(x26843,x26844,x26845,x26842)) % 199.49/199.86 [2685]~E(x26851,x26852)+E(f849(x26851,x26853,x26854,x26855,x26856,x26857),f849(x26852,x26853,x26854,x26855,x26856,x26857)) % 199.49/199.86 [2686]~E(x26861,x26862)+E(f849(x26863,x26861,x26864,x26865,x26866,x26867),f849(x26863,x26862,x26864,x26865,x26866,x26867)) % 199.49/199.86 [2687]~E(x26871,x26872)+E(f849(x26873,x26874,x26871,x26875,x26876,x26877),f849(x26873,x26874,x26872,x26875,x26876,x26877)) % 199.49/199.86 [2688]~E(x26881,x26882)+E(f849(x26883,x26884,x26885,x26881,x26886,x26887),f849(x26883,x26884,x26885,x26882,x26886,x26887)) % 199.49/199.86 [2689]~E(x26891,x26892)+E(f849(x26893,x26894,x26895,x26896,x26891,x26897),f849(x26893,x26894,x26895,x26896,x26892,x26897)) % 199.49/199.86 [2690]~E(x26901,x26902)+E(f849(x26903,x26904,x26905,x26906,x26907,x26901),f849(x26903,x26904,x26905,x26906,x26907,x26902)) % 199.49/199.86 [2691]~E(x26911,x26912)+E(f851(x26911,x26913,x26914,x26915,x26916,x26917,x26918),f851(x26912,x26913,x26914,x26915,x26916,x26917,x26918)) % 199.49/199.86 [2692]~E(x26921,x26922)+E(f851(x26923,x26921,x26924,x26925,x26926,x26927,x26928),f851(x26923,x26922,x26924,x26925,x26926,x26927,x26928)) % 199.49/199.86 [2693]~E(x26931,x26932)+E(f851(x26933,x26934,x26931,x26935,x26936,x26937,x26938),f851(x26933,x26934,x26932,x26935,x26936,x26937,x26938)) % 199.49/199.86 [2694]~E(x26941,x26942)+E(f851(x26943,x26944,x26945,x26941,x26946,x26947,x26948),f851(x26943,x26944,x26945,x26942,x26946,x26947,x26948)) % 199.49/199.86 [2695]~E(x26951,x26952)+E(f851(x26953,x26954,x26955,x26956,x26951,x26957,x26958),f851(x26953,x26954,x26955,x26956,x26952,x26957,x26958)) % 199.49/199.86 [2696]~E(x26961,x26962)+E(f851(x26963,x26964,x26965,x26966,x26967,x26961,x26968),f851(x26963,x26964,x26965,x26966,x26967,x26962,x26968)) % 199.49/199.86 [2697]~E(x26971,x26972)+E(f851(x26973,x26974,x26975,x26976,x26977,x26978,x26971),f851(x26973,x26974,x26975,x26976,x26977,x26978,x26972)) % 199.49/199.86 [2698]~E(x26981,x26982)+E(f890(x26981,x26983),f890(x26982,x26983)) % 199.49/199.86 [2699]~E(x26991,x26992)+E(f890(x26993,x26991),f890(x26993,x26992)) % 199.49/199.86 [2700]~E(x27001,x27002)+E(f752(x27001,x27003,x27004,x27005,x27006),f752(x27002,x27003,x27004,x27005,x27006)) % 199.49/199.86 [2701]~E(x27011,x27012)+E(f752(x27013,x27011,x27014,x27015,x27016),f752(x27013,x27012,x27014,x27015,x27016)) % 199.49/199.86 [2702]~E(x27021,x27022)+E(f752(x27023,x27024,x27021,x27025,x27026),f752(x27023,x27024,x27022,x27025,x27026)) % 199.49/199.86 [2703]~E(x27031,x27032)+E(f752(x27033,x27034,x27035,x27031,x27036),f752(x27033,x27034,x27035,x27032,x27036)) % 199.49/199.86 [2704]~E(x27041,x27042)+E(f752(x27043,x27044,x27045,x27046,x27041),f752(x27043,x27044,x27045,x27046,x27042)) % 199.49/199.86 [2705]~E(x27051,x27052)+E(f510(x27051,x27053,x27054,x27055,x27056),f510(x27052,x27053,x27054,x27055,x27056)) % 199.49/199.86 [2706]~E(x27061,x27062)+E(f510(x27063,x27061,x27064,x27065,x27066),f510(x27063,x27062,x27064,x27065,x27066)) % 199.49/199.86 [2707]~E(x27071,x27072)+E(f510(x27073,x27074,x27071,x27075,x27076),f510(x27073,x27074,x27072,x27075,x27076)) % 199.49/199.86 [2708]~E(x27081,x27082)+E(f510(x27083,x27084,x27085,x27081,x27086),f510(x27083,x27084,x27085,x27082,x27086)) % 199.49/199.86 [2709]~E(x27091,x27092)+E(f510(x27093,x27094,x27095,x27096,x27091),f510(x27093,x27094,x27095,x27096,x27092)) % 199.49/199.86 [2710]~E(x27101,x27102)+E(f854(x27101,x27103,x27104,x27105,x27106,x27107,x27108,x27109),f854(x27102,x27103,x27104,x27105,x27106,x27107,x27108,x27109)) % 199.49/199.86 [2711]~E(x27111,x27112)+E(f854(x27113,x27111,x27114,x27115,x27116,x27117,x27118,x27119),f854(x27113,x27112,x27114,x27115,x27116,x27117,x27118,x27119)) % 199.49/199.86 [2712]~E(x27121,x27122)+E(f854(x27123,x27124,x27121,x27125,x27126,x27127,x27128,x27129),f854(x27123,x27124,x27122,x27125,x27126,x27127,x27128,x27129)) % 199.49/199.86 [2713]~E(x27131,x27132)+E(f854(x27133,x27134,x27135,x27131,x27136,x27137,x27138,x27139),f854(x27133,x27134,x27135,x27132,x27136,x27137,x27138,x27139)) % 199.49/199.86 [2714]~E(x27141,x27142)+E(f854(x27143,x27144,x27145,x27146,x27141,x27147,x27148,x27149),f854(x27143,x27144,x27145,x27146,x27142,x27147,x27148,x27149)) % 199.49/199.86 [2715]~E(x27151,x27152)+E(f854(x27153,x27154,x27155,x27156,x27157,x27151,x27158,x27159),f854(x27153,x27154,x27155,x27156,x27157,x27152,x27158,x27159)) % 199.49/199.86 [2716]~E(x27161,x27162)+E(f854(x27163,x27164,x27165,x27166,x27167,x27168,x27161,x27169),f854(x27163,x27164,x27165,x27166,x27167,x27168,x27162,x27169)) % 199.49/199.86 [2717]~E(x27171,x27172)+E(f854(x27173,x27174,x27175,x27176,x27177,x27178,x27179,x27171),f854(x27173,x27174,x27175,x27176,x27177,x27178,x27179,x27172)) % 199.49/199.86 [2718]~E(x27181,x27182)+E(f21(x27181,x27183),f21(x27182,x27183)) % 199.49/199.86 [2719]~E(x27191,x27192)+E(f21(x27193,x27191),f21(x27193,x27192)) % 199.49/199.86 [2720]~E(x27201,x27202)+E(f586(x27201,x27203,x27204),f586(x27202,x27203,x27204)) % 199.49/199.86 [2721]~E(x27211,x27212)+E(f586(x27213,x27211,x27214),f586(x27213,x27212,x27214)) % 199.49/199.86 [2722]~E(x27221,x27222)+E(f586(x27223,x27224,x27221),f586(x27223,x27224,x27222)) % 199.49/199.86 [2723]~E(x27231,x27232)+E(f357(x27231,x27233,x27234),f357(x27232,x27233,x27234)) % 199.49/199.86 [2724]~E(x27241,x27242)+E(f357(x27243,x27241,x27244),f357(x27243,x27242,x27244)) % 199.49/199.86 [2725]~E(x27251,x27252)+E(f357(x27253,x27254,x27251),f357(x27253,x27254,x27252)) % 199.49/199.86 [2726]~E(x27261,x27262)+E(f215(x27261,x27263,x27264,x27265,x27266,x27267,x27268),f215(x27262,x27263,x27264,x27265,x27266,x27267,x27268)) % 199.49/199.86 [2727]~E(x27271,x27272)+E(f215(x27273,x27271,x27274,x27275,x27276,x27277,x27278),f215(x27273,x27272,x27274,x27275,x27276,x27277,x27278)) % 199.49/199.86 [2728]~E(x27281,x27282)+E(f215(x27283,x27284,x27281,x27285,x27286,x27287,x27288),f215(x27283,x27284,x27282,x27285,x27286,x27287,x27288)) % 199.49/199.86 [2729]~E(x27291,x27292)+E(f215(x27293,x27294,x27295,x27291,x27296,x27297,x27298),f215(x27293,x27294,x27295,x27292,x27296,x27297,x27298)) % 199.49/199.86 [2730]~E(x27301,x27302)+E(f215(x27303,x27304,x27305,x27306,x27301,x27307,x27308),f215(x27303,x27304,x27305,x27306,x27302,x27307,x27308)) % 199.49/199.86 [2731]~E(x27311,x27312)+E(f215(x27313,x27314,x27315,x27316,x27317,x27311,x27318),f215(x27313,x27314,x27315,x27316,x27317,x27312,x27318)) % 199.49/199.86 [2732]~E(x27321,x27322)+E(f215(x27323,x27324,x27325,x27326,x27327,x27328,x27321),f215(x27323,x27324,x27325,x27326,x27327,x27328,x27322)) % 199.49/199.86 [2733]~E(x27331,x27332)+E(f391(x27331),f391(x27332)) % 199.49/199.86 [2734]~E(x27341,x27342)+E(f464(x27341,x27343,x27344),f464(x27342,x27343,x27344)) % 199.49/199.86 [2735]~E(x27351,x27352)+E(f464(x27353,x27351,x27354),f464(x27353,x27352,x27354)) % 199.49/199.86 [2736]~E(x27361,x27362)+E(f464(x27363,x27364,x27361),f464(x27363,x27364,x27362)) % 199.49/199.86 [2737]~E(x27371,x27372)+E(f774(x27371,x27373,x27374,x27375,x27376),f774(x27372,x27373,x27374,x27375,x27376)) % 199.49/199.86 [2738]~E(x27381,x27382)+E(f774(x27383,x27381,x27384,x27385,x27386),f774(x27383,x27382,x27384,x27385,x27386)) % 199.49/199.86 [2739]~E(x27391,x27392)+E(f774(x27393,x27394,x27391,x27395,x27396),f774(x27393,x27394,x27392,x27395,x27396)) % 199.49/199.86 [2740]~E(x27401,x27402)+E(f774(x27403,x27404,x27405,x27401,x27406),f774(x27403,x27404,x27405,x27402,x27406)) % 199.49/199.86 [2741]~E(x27411,x27412)+E(f774(x27413,x27414,x27415,x27416,x27411),f774(x27413,x27414,x27415,x27416,x27412)) % 199.49/199.86 [2742]~E(x27421,x27422)+E(f371(x27421,x27423,x27424,x27425,x27426),f371(x27422,x27423,x27424,x27425,x27426)) % 199.49/199.86 [2743]~E(x27431,x27432)+E(f371(x27433,x27431,x27434,x27435,x27436),f371(x27433,x27432,x27434,x27435,x27436)) % 199.49/199.86 [2744]~E(x27441,x27442)+E(f371(x27443,x27444,x27441,x27445,x27446),f371(x27443,x27444,x27442,x27445,x27446)) % 199.49/199.86 [2745]~E(x27451,x27452)+E(f371(x27453,x27454,x27455,x27451,x27456),f371(x27453,x27454,x27455,x27452,x27456)) % 199.49/199.86 [2746]~E(x27461,x27462)+E(f371(x27463,x27464,x27465,x27466,x27461),f371(x27463,x27464,x27465,x27466,x27462)) % 199.49/199.86 [2747]~E(x27471,x27472)+E(f404(x27471,x27473),f404(x27472,x27473)) % 199.49/199.86 [2748]~E(x27481,x27482)+E(f404(x27483,x27481),f404(x27483,x27482)) % 199.49/199.86 [2749]~E(x27491,x27492)+E(f229(x27491,x27493,x27494,x27495,x27496),f229(x27492,x27493,x27494,x27495,x27496)) % 199.49/199.86 [2750]~E(x27501,x27502)+E(f229(x27503,x27501,x27504,x27505,x27506),f229(x27503,x27502,x27504,x27505,x27506)) % 199.49/199.86 [2751]~E(x27511,x27512)+E(f229(x27513,x27514,x27511,x27515,x27516),f229(x27513,x27514,x27512,x27515,x27516)) % 199.49/199.86 [2752]~E(x27521,x27522)+E(f229(x27523,x27524,x27525,x27521,x27526),f229(x27523,x27524,x27525,x27522,x27526)) % 199.49/199.86 [2753]~E(x27531,x27532)+E(f229(x27533,x27534,x27535,x27536,x27531),f229(x27533,x27534,x27535,x27536,x27532)) % 199.49/199.86 [2754]~E(x27541,x27542)+E(f277(x27541,x27543,x27544),f277(x27542,x27543,x27544)) % 199.49/199.86 [2755]~E(x27551,x27552)+E(f277(x27553,x27551,x27554),f277(x27553,x27552,x27554)) % 199.49/199.86 [2756]~E(x27561,x27562)+E(f277(x27563,x27564,x27561),f277(x27563,x27564,x27562)) % 199.49/199.86 [2757]~E(x27571,x27572)+E(f565(x27571,x27573,x27574),f565(x27572,x27573,x27574)) % 199.49/199.86 [2758]~E(x27581,x27582)+E(f565(x27583,x27581,x27584),f565(x27583,x27582,x27584)) % 199.49/199.86 [2759]~E(x27591,x27592)+E(f565(x27593,x27594,x27591),f565(x27593,x27594,x27592)) % 199.49/199.86 [2760]~E(x27601,x27602)+E(f550(x27601,x27603,x27604),f550(x27602,x27603,x27604)) % 199.49/199.86 [2761]~E(x27611,x27612)+E(f550(x27613,x27611,x27614),f550(x27613,x27612,x27614)) % 199.49/199.86 [2762]~E(x27621,x27622)+E(f550(x27623,x27624,x27621),f550(x27623,x27624,x27622)) % 199.49/199.86 [2763]~E(x27631,x27632)+E(f835(x27631,x27633),f835(x27632,x27633)) % 199.49/199.86 [2764]~E(x27641,x27642)+E(f835(x27643,x27641),f835(x27643,x27642)) % 199.49/199.86 [2765]~E(x27651,x27652)+E(f365(x27651,x27653,x27654,x27655,x27656),f365(x27652,x27653,x27654,x27655,x27656)) % 199.49/199.86 [2766]~E(x27661,x27662)+E(f365(x27663,x27661,x27664,x27665,x27666),f365(x27663,x27662,x27664,x27665,x27666)) % 199.49/199.86 [2767]~E(x27671,x27672)+E(f365(x27673,x27674,x27671,x27675,x27676),f365(x27673,x27674,x27672,x27675,x27676)) % 199.49/199.86 [2768]~E(x27681,x27682)+E(f365(x27683,x27684,x27685,x27681,x27686),f365(x27683,x27684,x27685,x27682,x27686)) % 199.49/199.86 [2769]~E(x27691,x27692)+E(f365(x27693,x27694,x27695,x27696,x27691),f365(x27693,x27694,x27695,x27696,x27692)) % 199.49/199.86 [2770]~E(x27701,x27702)+E(f226(x27701,x27703,x27704),f226(x27702,x27703,x27704)) % 199.49/199.86 [2771]~E(x27711,x27712)+E(f226(x27713,x27711,x27714),f226(x27713,x27712,x27714)) % 199.49/199.86 [2772]~E(x27721,x27722)+E(f226(x27723,x27724,x27721),f226(x27723,x27724,x27722)) % 199.49/199.86 [2773]~E(x27731,x27732)+E(f638(x27731,x27733,x27734,x27735),f638(x27732,x27733,x27734,x27735)) % 199.49/199.86 [2774]~E(x27741,x27742)+E(f638(x27743,x27741,x27744,x27745),f638(x27743,x27742,x27744,x27745)) % 199.49/199.86 [2775]~E(x27751,x27752)+E(f638(x27753,x27754,x27751,x27755),f638(x27753,x27754,x27752,x27755)) % 199.49/199.86 [2776]~E(x27761,x27762)+E(f638(x27763,x27764,x27765,x27761),f638(x27763,x27764,x27765,x27762)) % 199.49/199.86 [2777]~E(x27771,x27772)+E(f836(x27771,x27773),f836(x27772,x27773)) % 199.49/199.86 [2778]~E(x27781,x27782)+E(f836(x27783,x27781),f836(x27783,x27782)) % 199.49/199.86 [2779]~E(x27791,x27792)+E(f724(x27791,x27793,x27794),f724(x27792,x27793,x27794)) % 199.49/199.86 [2780]~E(x27801,x27802)+E(f724(x27803,x27801,x27804),f724(x27803,x27802,x27804)) % 199.49/199.86 [2781]~E(x27811,x27812)+E(f724(x27813,x27814,x27811),f724(x27813,x27814,x27812)) % 199.49/199.86 [2782]~E(x27821,x27822)+E(f372(x27821,x27823),f372(x27822,x27823)) % 199.49/199.86 [2783]~E(x27831,x27832)+E(f372(x27833,x27831),f372(x27833,x27832)) % 199.49/199.86 [2784]~E(x27841,x27842)+E(f715(x27841,x27843,x27844),f715(x27842,x27843,x27844)) % 199.49/199.86 [2785]~E(x27851,x27852)+E(f715(x27853,x27851,x27854),f715(x27853,x27852,x27854)) % 199.49/199.86 [2786]~E(x27861,x27862)+E(f715(x27863,x27864,x27861),f715(x27863,x27864,x27862)) % 199.49/199.86 [2787]~E(x27871,x27872)+E(f214(x27871,x27873,x27874,x27875),f214(x27872,x27873,x27874,x27875)) % 199.49/199.86 [2788]~E(x27881,x27882)+E(f214(x27883,x27881,x27884,x27885),f214(x27883,x27882,x27884,x27885)) % 199.49/199.86 [2789]~E(x27891,x27892)+E(f214(x27893,x27894,x27891,x27895),f214(x27893,x27894,x27892,x27895)) % 199.49/199.86 [2790]~E(x27901,x27902)+E(f214(x27903,x27904,x27905,x27901),f214(x27903,x27904,x27905,x27902)) % 199.49/199.86 [2791]~E(x27911,x27912)+E(f605(x27911,x27913,x27914,x27915),f605(x27912,x27913,x27914,x27915)) % 199.49/199.86 [2792]~E(x27921,x27922)+E(f605(x27923,x27921,x27924,x27925),f605(x27923,x27922,x27924,x27925)) % 199.49/199.86 [2793]~E(x27931,x27932)+E(f605(x27933,x27934,x27931,x27935),f605(x27933,x27934,x27932,x27935)) % 199.49/199.86 [2794]~E(x27941,x27942)+E(f605(x27943,x27944,x27945,x27941),f605(x27943,x27944,x27945,x27942)) % 199.49/199.86 [2795]~E(x27951,x27952)+E(f705(x27951,x27953,x27954,x27955,x27956),f705(x27952,x27953,x27954,x27955,x27956)) % 199.49/199.86 [2796]~E(x27961,x27962)+E(f705(x27963,x27961,x27964,x27965,x27966),f705(x27963,x27962,x27964,x27965,x27966)) % 199.49/199.86 [2797]~E(x27971,x27972)+E(f705(x27973,x27974,x27971,x27975,x27976),f705(x27973,x27974,x27972,x27975,x27976)) % 199.49/199.86 [2798]~E(x27981,x27982)+E(f705(x27983,x27984,x27985,x27981,x27986),f705(x27983,x27984,x27985,x27982,x27986)) % 199.49/199.86 [2799]~E(x27991,x27992)+E(f705(x27993,x27994,x27995,x27996,x27991),f705(x27993,x27994,x27995,x27996,x27992)) % 199.49/199.86 [2800]~E(x28001,x28002)+E(f405(x28001,x28003),f405(x28002,x28003)) % 199.49/199.86 [2801]~E(x28011,x28012)+E(f405(x28013,x28011),f405(x28013,x28012)) % 199.49/199.86 [2802]~E(x28021,x28022)+E(f527(x28021,x28023,x28024,x28025),f527(x28022,x28023,x28024,x28025)) % 199.49/199.86 [2803]~E(x28031,x28032)+E(f527(x28033,x28031,x28034,x28035),f527(x28033,x28032,x28034,x28035)) % 199.49/199.86 [2804]~E(x28041,x28042)+E(f527(x28043,x28044,x28041,x28045),f527(x28043,x28044,x28042,x28045)) % 199.49/199.86 [2805]~E(x28051,x28052)+E(f527(x28053,x28054,x28055,x28051),f527(x28053,x28054,x28055,x28052)) % 199.49/199.86 [2806]~E(x28061,x28062)+E(f794(x28061,x28063),f794(x28062,x28063)) % 199.49/199.86 [2807]~E(x28071,x28072)+E(f794(x28073,x28071),f794(x28073,x28072)) % 199.49/199.86 [2808]~E(x28081,x28082)+E(f396(x28081,x28083),f396(x28082,x28083)) % 199.49/199.86 [2809]~E(x28091,x28092)+E(f396(x28093,x28091),f396(x28093,x28092)) % 199.49/199.86 [2810]~E(x28101,x28102)+E(f732(x28101),f732(x28102)) % 199.49/199.86 [2811]~E(x28111,x28112)+E(f96(x28111,x28113,x28114),f96(x28112,x28113,x28114)) % 199.49/199.86 [2812]~E(x28121,x28122)+E(f96(x28123,x28121,x28124),f96(x28123,x28122,x28124)) % 199.49/199.86 [2813]~E(x28131,x28132)+E(f96(x28133,x28134,x28131),f96(x28133,x28134,x28132)) % 199.49/199.86 [2814]~E(x28141,x28142)+E(f776(x28141,x28143,x28144),f776(x28142,x28143,x28144)) % 199.49/199.86 [2815]~E(x28151,x28152)+E(f776(x28153,x28151,x28154),f776(x28153,x28152,x28154)) % 199.49/199.86 [2816]~E(x28161,x28162)+E(f776(x28163,x28164,x28161),f776(x28163,x28164,x28162)) % 199.49/199.86 [2817]~E(x28171,x28172)+E(f466(x28171,x28173,x28174,x28175),f466(x28172,x28173,x28174,x28175)) % 199.49/199.86 [2818]~E(x28181,x28182)+E(f466(x28183,x28181,x28184,x28185),f466(x28183,x28182,x28184,x28185)) % 199.49/199.86 [2819]~E(x28191,x28192)+E(f466(x28193,x28194,x28191,x28195),f466(x28193,x28194,x28192,x28195)) % 199.49/199.86 [2820]~E(x28201,x28202)+E(f466(x28203,x28204,x28205,x28201),f466(x28203,x28204,x28205,x28202)) % 199.49/199.86 [2821]~E(x28211,x28212)+E(f822(x28211,x28213),f822(x28212,x28213)) % 199.49/199.86 [2822]~E(x28221,x28222)+E(f822(x28223,x28221),f822(x28223,x28222)) % 199.49/199.86 [2823]~E(x28231,x28232)+E(f546(x28231,x28233,x28234,x28235),f546(x28232,x28233,x28234,x28235)) % 199.49/199.86 [2824]~E(x28241,x28242)+E(f546(x28243,x28241,x28244,x28245),f546(x28243,x28242,x28244,x28245)) % 199.49/199.86 [2825]~E(x28251,x28252)+E(f546(x28253,x28254,x28251,x28255),f546(x28253,x28254,x28252,x28255)) % 199.49/199.86 [2826]~E(x28261,x28262)+E(f546(x28263,x28264,x28265,x28261),f546(x28263,x28264,x28265,x28262)) % 199.49/199.86 [2827]~E(x28271,x28272)+E(f544(x28271,x28273,x28274,x28275),f544(x28272,x28273,x28274,x28275)) % 199.49/199.86 [2828]~E(x28281,x28282)+E(f544(x28283,x28281,x28284,x28285),f544(x28283,x28282,x28284,x28285)) % 199.49/199.86 [2829]~E(x28291,x28292)+E(f544(x28293,x28294,x28291,x28295),f544(x28293,x28294,x28292,x28295)) % 199.49/199.86 [2830]~E(x28301,x28302)+E(f544(x28303,x28304,x28305,x28301),f544(x28303,x28304,x28305,x28302)) % 199.49/199.86 [2831]~E(x28311,x28312)+E(f872(x28311,x28313,x28314),f872(x28312,x28313,x28314)) % 199.49/199.86 [2832]~E(x28321,x28322)+E(f872(x28323,x28321,x28324),f872(x28323,x28322,x28324)) % 199.49/199.86 [2833]~E(x28331,x28332)+E(f872(x28333,x28334,x28331),f872(x28333,x28334,x28332)) % 199.49/199.86 [2834]~E(x28341,x28342)+E(f579(x28341,x28343),f579(x28342,x28343)) % 199.49/199.86 [2835]~E(x28351,x28352)+E(f579(x28353,x28351),f579(x28353,x28352)) % 199.49/199.86 [2836]~E(x28361,x28362)+E(f840(x28361,x28363,x28364,x28365,x28366),f840(x28362,x28363,x28364,x28365,x28366)) % 199.49/199.86 [2837]~E(x28371,x28372)+E(f840(x28373,x28371,x28374,x28375,x28376),f840(x28373,x28372,x28374,x28375,x28376)) % 199.49/199.86 [2838]~E(x28381,x28382)+E(f840(x28383,x28384,x28381,x28385,x28386),f840(x28383,x28384,x28382,x28385,x28386)) % 199.49/199.86 [2839]~E(x28391,x28392)+E(f840(x28393,x28394,x28395,x28391,x28396),f840(x28393,x28394,x28395,x28392,x28396)) % 199.49/199.86 [2840]~E(x28401,x28402)+E(f840(x28403,x28404,x28405,x28406,x28401),f840(x28403,x28404,x28405,x28406,x28402)) % 199.49/199.86 [2841]~E(x28411,x28412)+E(f493(x28411,x28413,x28414,x28415),f493(x28412,x28413,x28414,x28415)) % 199.49/199.86 [2842]~E(x28421,x28422)+E(f493(x28423,x28421,x28424,x28425),f493(x28423,x28422,x28424,x28425)) % 199.49/199.86 [2843]~E(x28431,x28432)+E(f493(x28433,x28434,x28431,x28435),f493(x28433,x28434,x28432,x28435)) % 199.49/199.86 [2844]~E(x28441,x28442)+E(f493(x28443,x28444,x28445,x28441),f493(x28443,x28444,x28445,x28442)) % 199.49/199.86 [2845]~E(x28451,x28452)+E(f339(x28451,x28453),f339(x28452,x28453)) % 199.49/199.86 [2846]~E(x28461,x28462)+E(f339(x28463,x28461),f339(x28463,x28462)) % 199.49/199.86 [2847]~E(x28471,x28472)+E(f495(x28471,x28473,x28474,x28475),f495(x28472,x28473,x28474,x28475)) % 199.49/199.86 [2848]~E(x28481,x28482)+E(f495(x28483,x28481,x28484,x28485),f495(x28483,x28482,x28484,x28485)) % 199.49/199.86 [2849]~E(x28491,x28492)+E(f495(x28493,x28494,x28491,x28495),f495(x28493,x28494,x28492,x28495)) % 199.49/199.86 [2850]~E(x28501,x28502)+E(f495(x28503,x28504,x28505,x28501),f495(x28503,x28504,x28505,x28502)) % 199.49/199.86 [2851]~E(x28511,x28512)+E(f363(x28511,x28513,x28514),f363(x28512,x28513,x28514)) % 199.49/199.86 [2852]~E(x28521,x28522)+E(f363(x28523,x28521,x28524),f363(x28523,x28522,x28524)) % 199.49/199.86 [2853]~E(x28531,x28532)+E(f363(x28533,x28534,x28531),f363(x28533,x28534,x28532)) % 199.49/199.86 [2854]~E(x28541,x28542)+E(f508(x28541,x28543,x28544,x28545,x28546),f508(x28542,x28543,x28544,x28545,x28546)) % 199.49/199.86 [2855]~E(x28551,x28552)+E(f508(x28553,x28551,x28554,x28555,x28556),f508(x28553,x28552,x28554,x28555,x28556)) % 199.49/199.86 [2856]~E(x28561,x28562)+E(f508(x28563,x28564,x28561,x28565,x28566),f508(x28563,x28564,x28562,x28565,x28566)) % 199.49/199.86 [2857]~E(x28571,x28572)+E(f508(x28573,x28574,x28575,x28571,x28576),f508(x28573,x28574,x28575,x28572,x28576)) % 199.49/199.86 [2858]~E(x28581,x28582)+E(f508(x28583,x28584,x28585,x28586,x28581),f508(x28583,x28584,x28585,x28586,x28582)) % 199.49/199.86 [2859]~E(x28591,x28592)+E(f588(x28591,x28593,x28594),f588(x28592,x28593,x28594)) % 199.49/199.86 [2860]~E(x28601,x28602)+E(f588(x28603,x28601,x28604),f588(x28603,x28602,x28604)) % 199.49/199.86 [2861]~E(x28611,x28612)+E(f588(x28613,x28614,x28611),f588(x28613,x28614,x28612)) % 199.49/199.86 [2862]~E(x28621,x28622)+E(f43(x28621),f43(x28622)) % 199.49/199.86 [2863]~E(x28631,x28632)+E(f839(x28631,x28633,x28634,x28635,x28636,x28637),f839(x28632,x28633,x28634,x28635,x28636,x28637)) % 199.49/199.86 [2864]~E(x28641,x28642)+E(f839(x28643,x28641,x28644,x28645,x28646,x28647),f839(x28643,x28642,x28644,x28645,x28646,x28647)) % 199.49/199.86 [2865]~E(x28651,x28652)+E(f839(x28653,x28654,x28651,x28655,x28656,x28657),f839(x28653,x28654,x28652,x28655,x28656,x28657)) % 199.49/199.86 [2866]~E(x28661,x28662)+E(f839(x28663,x28664,x28665,x28661,x28666,x28667),f839(x28663,x28664,x28665,x28662,x28666,x28667)) % 199.49/199.86 [2867]~E(x28671,x28672)+E(f839(x28673,x28674,x28675,x28676,x28671,x28677),f839(x28673,x28674,x28675,x28676,x28672,x28677)) % 199.49/199.86 [2868]~E(x28681,x28682)+E(f839(x28683,x28684,x28685,x28686,x28687,x28681),f839(x28683,x28684,x28685,x28686,x28687,x28682)) % 199.49/199.86 [2869]~E(x28691,x28692)+E(f771(x28691,x28693,x28694),f771(x28692,x28693,x28694)) % 199.49/199.86 [2870]~E(x28701,x28702)+E(f771(x28703,x28701,x28704),f771(x28703,x28702,x28704)) % 199.49/199.86 [2871]~E(x28711,x28712)+E(f771(x28713,x28714,x28711),f771(x28713,x28714,x28712)) % 199.49/199.86 [2872]~E(x28721,x28722)+E(f204(x28721),f204(x28722)) % 199.49/199.86 [2873]~E(x28731,x28732)+E(f830(x28731),f830(x28732)) % 199.49/199.86 [2874]~E(x28741,x28742)+E(f593(x28741,x28743,x28744,x28745,x28746,x28747),f593(x28742,x28743,x28744,x28745,x28746,x28747)) % 199.49/199.86 [2875]~E(x28751,x28752)+E(f593(x28753,x28751,x28754,x28755,x28756,x28757),f593(x28753,x28752,x28754,x28755,x28756,x28757)) % 199.49/199.86 [2876]~E(x28761,x28762)+E(f593(x28763,x28764,x28761,x28765,x28766,x28767),f593(x28763,x28764,x28762,x28765,x28766,x28767)) % 199.49/199.86 [2877]~E(x28771,x28772)+E(f593(x28773,x28774,x28775,x28771,x28776,x28777),f593(x28773,x28774,x28775,x28772,x28776,x28777)) % 199.49/199.86 [2878]~E(x28781,x28782)+E(f593(x28783,x28784,x28785,x28786,x28781,x28787),f593(x28783,x28784,x28785,x28786,x28782,x28787)) % 199.49/199.86 [2879]~E(x28791,x28792)+E(f593(x28793,x28794,x28795,x28796,x28797,x28791),f593(x28793,x28794,x28795,x28796,x28797,x28792)) % 199.49/199.86 [2880]~E(x28801,x28802)+E(f813(x28801,x28803),f813(x28802,x28803)) % 199.49/199.86 [2881]~E(x28811,x28812)+E(f813(x28813,x28811),f813(x28813,x28812)) % 199.49/199.86 [2882]~E(x28821,x28822)+E(f627(x28821,x28823,x28824),f627(x28822,x28823,x28824)) % 199.49/199.86 [2883]~E(x28831,x28832)+E(f627(x28833,x28831,x28834),f627(x28833,x28832,x28834)) % 199.49/199.86 [2884]~E(x28841,x28842)+E(f627(x28843,x28844,x28841),f627(x28843,x28844,x28842)) % 199.49/199.86 [2885]~E(x28851,x28852)+E(f549(x28851),f549(x28852)) % 199.49/199.86 [2886]~E(x28861,x28862)+E(f645(x28861,x28863),f645(x28862,x28863)) % 199.49/199.86 [2887]~E(x28871,x28872)+E(f645(x28873,x28871),f645(x28873,x28872)) % 199.49/199.86 [2888]~E(x28881,x28882)+E(f796(x28881,x28883),f796(x28882,x28883)) % 199.49/199.86 [2889]~E(x28891,x28892)+E(f796(x28893,x28891),f796(x28893,x28892)) % 199.49/199.86 [2890]~E(x28901,x28902)+E(f912(x28901),f912(x28902)) % 199.49/199.86 [2891]~E(x28911,x28912)+E(f918(x28911),f918(x28912)) % 199.49/199.86 [2892]~P1(x28921)+P1(x28922)+~E(x28921,x28922) % 199.49/199.86 [2893]~P108(x28931)+P108(x28932)+~E(x28931,x28932) % 199.49/199.86 [2894]P24(x28942,x28943,x28944)+~E(x28941,x28942)+~P24(x28941,x28943,x28944) % 199.49/199.86 [2895]P24(x28953,x28952,x28954)+~E(x28951,x28952)+~P24(x28953,x28951,x28954) % 199.49/199.86 [2896]P24(x28963,x28964,x28962)+~E(x28961,x28962)+~P24(x28963,x28964,x28961) % 199.49/199.86 [2897]~P109(x28971)+P109(x28972)+~E(x28971,x28972) % 199.49/199.86 [2898]~P121(x28981)+P121(x28982)+~E(x28981,x28982) % 199.49/199.86 [2899]~P95(x28991)+P95(x28992)+~E(x28991,x28992) % 199.49/199.86 [2900]P28(x29002,x29003,x29004)+~E(x29001,x29002)+~P28(x29001,x29003,x29004) % 199.49/199.86 [2901]P28(x29013,x29012,x29014)+~E(x29011,x29012)+~P28(x29013,x29011,x29014) % 199.49/199.86 [2902]P28(x29023,x29024,x29022)+~E(x29021,x29022)+~P28(x29023,x29024,x29021) % 199.49/199.86 [2903]~P110(x29031)+P110(x29032)+~E(x29031,x29032) % 199.49/199.86 [2904]P150(x29042,x29043,x29044)+~E(x29041,x29042)+~P150(x29041,x29043,x29044) % 199.49/199.86 [2905]P150(x29053,x29052,x29054)+~E(x29051,x29052)+~P150(x29053,x29051,x29054) % 199.49/199.86 [2906]P150(x29063,x29064,x29062)+~E(x29061,x29062)+~P150(x29063,x29064,x29061) % 199.49/199.86 [2907]P57(x29072,x29073,x29074)+~E(x29071,x29072)+~P57(x29071,x29073,x29074) % 199.49/199.86 [2908]P57(x29083,x29082,x29084)+~E(x29081,x29082)+~P57(x29083,x29081,x29084) % 199.49/199.86 [2909]P57(x29093,x29094,x29092)+~E(x29091,x29092)+~P57(x29093,x29094,x29091) % 199.49/199.86 [2910]~P111(x29101)+P111(x29102)+~E(x29101,x29102) % 199.49/199.86 [2911]~P69(x29111)+P69(x29112)+~E(x29111,x29112) % 199.49/199.86 [2912]~P76(x29121)+P76(x29122)+~E(x29121,x29122) % 199.49/199.86 [2913]~P67(x29131)+P67(x29132)+~E(x29131,x29132) % 199.49/199.86 [2914]~P112(x29141)+P112(x29142)+~E(x29141,x29142) % 199.49/199.86 [2915]~P129(x29151)+P129(x29152)+~E(x29151,x29152) % 199.49/199.86 [2916]~P68(x29161)+P68(x29162)+~E(x29161,x29162) % 199.49/199.86 [2917]~P99(x29171)+P99(x29172)+~E(x29171,x29172) % 199.49/199.86 [2918]~P2(x29181)+P2(x29182)+~E(x29181,x29182) % 199.49/199.86 [2919]P13(x29192,x29193)+~E(x29191,x29192)+~P13(x29191,x29193) % 199.49/199.86 [2920]P13(x29203,x29202)+~E(x29201,x29202)+~P13(x29203,x29201) % 199.49/199.86 [2921]~P42(x29211)+P42(x29212)+~E(x29211,x29212) % 199.49/199.86 [2922]P33(x29222,x29223,x29224)+~E(x29221,x29222)+~P33(x29221,x29223,x29224) % 199.49/199.86 [2923]P33(x29233,x29232,x29234)+~E(x29231,x29232)+~P33(x29233,x29231,x29234) % 199.49/199.86 [2924]P33(x29243,x29244,x29242)+~E(x29241,x29242)+~P33(x29243,x29244,x29241) % 199.49/199.86 [2925]~P80(x29251)+P80(x29252)+~E(x29251,x29252) % 199.49/199.86 [2926]~P3(x29261)+P3(x29262)+~E(x29261,x29262) % 199.49/199.86 [2927]~P4(x29271)+P4(x29272)+~E(x29271,x29272) % 199.49/199.86 [2928]~P148(x29281)+P148(x29282)+~E(x29281,x29282) % 199.49/199.86 [2929]~P70(x29291)+P70(x29292)+~E(x29291,x29292) % 199.49/199.86 [2930]P19(x29302,x29303,x29304,x29305)+~E(x29301,x29302)+~P19(x29301,x29303,x29304,x29305) % 199.49/199.86 [2931]P19(x29313,x29312,x29314,x29315)+~E(x29311,x29312)+~P19(x29313,x29311,x29314,x29315) % 199.49/199.86 [2932]P19(x29323,x29324,x29322,x29325)+~E(x29321,x29322)+~P19(x29323,x29324,x29321,x29325) % 199.49/199.86 [2933]P19(x29333,x29334,x29335,x29332)+~E(x29331,x29332)+~P19(x29333,x29334,x29335,x29331) % 199.49/199.86 [2934]P14(x29342,x29343,x29344)+~E(x29341,x29342)+~P14(x29341,x29343,x29344) % 199.49/199.86 [2935]P14(x29353,x29352,x29354)+~E(x29351,x29352)+~P14(x29353,x29351,x29354) % 199.49/199.86 [2936]P14(x29363,x29364,x29362)+~E(x29361,x29362)+~P14(x29363,x29364,x29361) % 199.49/199.86 [2937]~P81(x29371)+P81(x29372)+~E(x29371,x29372) % 199.49/199.86 [2938]~P86(x29381)+P86(x29382)+~E(x29381,x29382) % 199.49/199.86 [2939]P40(x29392,x29393)+~E(x29391,x29392)+~P40(x29391,x29393) % 199.49/199.86 [2940]P40(x29403,x29402)+~E(x29401,x29402)+~P40(x29403,x29401) % 199.49/199.86 [2941]~P72(x29411)+P72(x29412)+~E(x29411,x29412) % 199.49/199.86 [2942]~P94(x29421)+P94(x29422)+~E(x29421,x29422) % 199.49/199.86 [2943]P26(x29432,x29433,x29434,x29435,x29436)+~E(x29431,x29432)+~P26(x29431,x29433,x29434,x29435,x29436) % 199.49/199.86 [2944]P26(x29443,x29442,x29444,x29445,x29446)+~E(x29441,x29442)+~P26(x29443,x29441,x29444,x29445,x29446) % 199.49/199.86 [2945]P26(x29453,x29454,x29452,x29455,x29456)+~E(x29451,x29452)+~P26(x29453,x29454,x29451,x29455,x29456) % 199.49/199.86 [2946]P26(x29463,x29464,x29465,x29462,x29466)+~E(x29461,x29462)+~P26(x29463,x29464,x29465,x29461,x29466) % 199.49/199.86 [2947]P26(x29473,x29474,x29475,x29476,x29472)+~E(x29471,x29472)+~P26(x29473,x29474,x29475,x29476,x29471) % 199.49/199.86 [2948]~P83(x29481)+P83(x29482)+~E(x29481,x29482) % 199.49/199.86 [2949]~P97(x29491)+P97(x29492)+~E(x29491,x29492) % 199.49/199.86 [2950]~P78(x29501)+P78(x29502)+~E(x29501,x29502) % 199.49/199.86 [2951]~P113(x29511)+P113(x29512)+~E(x29511,x29512) % 199.49/199.86 [2952]~P130(x29521)+P130(x29522)+~E(x29521,x29522) % 199.49/199.86 [2953]P151(x29532,x29533,x29534)+~E(x29531,x29532)+~P151(x29531,x29533,x29534) % 199.49/199.86 [2954]P151(x29543,x29542,x29544)+~E(x29541,x29542)+~P151(x29543,x29541,x29544) % 199.49/199.86 [2955]P151(x29553,x29554,x29552)+~E(x29551,x29552)+~P151(x29553,x29554,x29551) % 199.49/199.86 [2956]~P114(x29561)+P114(x29562)+~E(x29561,x29562) % 199.49/199.86 [2957]P34(x29572,x29573,x29574,x29575)+~E(x29571,x29572)+~P34(x29571,x29573,x29574,x29575) % 199.49/199.86 [2958]P34(x29583,x29582,x29584,x29585)+~E(x29581,x29582)+~P34(x29583,x29581,x29584,x29585) % 199.49/199.86 [2959]P34(x29593,x29594,x29592,x29595)+~E(x29591,x29592)+~P34(x29593,x29594,x29591,x29595) % 199.49/199.86 [2960]P34(x29603,x29604,x29605,x29602)+~E(x29601,x29602)+~P34(x29603,x29604,x29605,x29601) % 199.49/199.86 [2961]~P84(x29611)+P84(x29612)+~E(x29611,x29612) % 199.49/199.86 [2962]~P73(x29621)+P73(x29622)+~E(x29621,x29622) % 199.49/199.86 [2963]~P77(x29631)+P77(x29632)+~E(x29631,x29632) % 199.49/199.86 [2964]P36(x29642,x29643,x29644,x29645,x29646)+~E(x29641,x29642)+~P36(x29641,x29643,x29644,x29645,x29646) % 199.49/199.86 [2965]P36(x29653,x29652,x29654,x29655,x29656)+~E(x29651,x29652)+~P36(x29653,x29651,x29654,x29655,x29656) % 199.49/199.86 [2966]P36(x29663,x29664,x29662,x29665,x29666)+~E(x29661,x29662)+~P36(x29663,x29664,x29661,x29665,x29666) % 199.49/199.86 [2967]P36(x29673,x29674,x29675,x29672,x29676)+~E(x29671,x29672)+~P36(x29673,x29674,x29675,x29671,x29676) % 199.49/199.86 [2968]P36(x29683,x29684,x29685,x29686,x29682)+~E(x29681,x29682)+~P36(x29683,x29684,x29685,x29686,x29681) % 199.49/199.86 [2969]~P74(x29691)+P74(x29692)+~E(x29691,x29692) % 199.49/199.86 [2970]~P63(x29701)+P63(x29702)+~E(x29701,x29702) % 199.49/199.86 [2971]P39(x29712,x29713)+~E(x29711,x29712)+~P39(x29711,x29713) % 199.49/199.86 [2972]P39(x29723,x29722)+~E(x29721,x29722)+~P39(x29723,x29721) % 199.49/199.86 [2973]~P71(x29731)+P71(x29732)+~E(x29731,x29732) % 199.49/199.86 [2974]~P5(x29741)+P5(x29742)+~E(x29741,x29742) % 199.49/199.86 [2975]P35(x29752,x29753,x29754)+~E(x29751,x29752)+~P35(x29751,x29753,x29754) % 199.49/199.86 [2976]P35(x29763,x29762,x29764)+~E(x29761,x29762)+~P35(x29763,x29761,x29764) % 199.49/199.86 [2977]P35(x29773,x29774,x29772)+~E(x29771,x29772)+~P35(x29773,x29774,x29771) % 199.49/199.86 [2978]P61(x29782,x29783,x29784,x29785)+~E(x29781,x29782)+~P61(x29781,x29783,x29784,x29785) % 199.49/199.86 [2979]P61(x29793,x29792,x29794,x29795)+~E(x29791,x29792)+~P61(x29793,x29791,x29794,x29795) % 199.49/199.86 [2980]P61(x29803,x29804,x29802,x29805)+~E(x29801,x29802)+~P61(x29803,x29804,x29801,x29805) % 199.49/199.86 [2981]P61(x29813,x29814,x29815,x29812)+~E(x29811,x29812)+~P61(x29813,x29814,x29815,x29811) % 199.49/199.86 [2982]~P145(x29821)+P145(x29822)+~E(x29821,x29822) % 199.49/199.86 [2983]~P115(x29831)+P115(x29832)+~E(x29831,x29832) % 199.49/199.86 [2984]P10(x29842,x29843,x29844,x29845,x29846)+~E(x29841,x29842)+~P10(x29841,x29843,x29844,x29845,x29846) % 199.49/199.86 [2985]P10(x29853,x29852,x29854,x29855,x29856)+~E(x29851,x29852)+~P10(x29853,x29851,x29854,x29855,x29856) % 199.49/199.86 [2986]P10(x29863,x29864,x29862,x29865,x29866)+~E(x29861,x29862)+~P10(x29863,x29864,x29861,x29865,x29866) % 199.49/199.86 [2987]P10(x29873,x29874,x29875,x29872,x29876)+~E(x29871,x29872)+~P10(x29873,x29874,x29875,x29871,x29876) % 199.49/199.86 [2988]P10(x29883,x29884,x29885,x29886,x29882)+~E(x29881,x29882)+~P10(x29883,x29884,x29885,x29886,x29881) % 199.49/199.86 [2989]~P124(x29891)+P124(x29892)+~E(x29891,x29892) % 199.49/199.86 [2990]~P131(x29901)+P131(x29902)+~E(x29901,x29902) % 199.49/199.86 [2991]P25(x29912,x29913,x29914,x29915)+~E(x29911,x29912)+~P25(x29911,x29913,x29914,x29915) % 199.49/199.86 [2992]P25(x29923,x29922,x29924,x29925)+~E(x29921,x29922)+~P25(x29923,x29921,x29924,x29925) % 199.49/199.86 [2993]P25(x29933,x29934,x29932,x29935)+~E(x29931,x29932)+~P25(x29933,x29934,x29931,x29935) % 199.49/199.86 [2994]P25(x29943,x29944,x29945,x29942)+~E(x29941,x29942)+~P25(x29943,x29944,x29945,x29941) % 199.49/199.86 [2995]~P123(x29951)+P123(x29952)+~E(x29951,x29952) % 199.49/199.86 [2996]P60(x29962,x29963)+~E(x29961,x29962)+~P60(x29961,x29963) % 199.49/199.86 [2997]P60(x29973,x29972)+~E(x29971,x29972)+~P60(x29973,x29971) % 199.49/199.86 [2998]P15(x29982,x29983)+~E(x29981,x29982)+~P15(x29981,x29983) % 199.49/199.86 [2999]P15(x29993,x29992)+~E(x29991,x29992)+~P15(x29993,x29991) % 199.49/199.86 [3000]~P93(x30001)+P93(x30002)+~E(x30001,x30002) % 199.49/199.86 [3001]~P85(x30011)+P85(x30012)+~E(x30011,x30012) % 199.49/199.86 [3002]~P116(x30021)+P116(x30022)+~E(x30021,x30022) % 199.49/199.86 [3003]~P104(x30031)+P104(x30032)+~E(x30031,x30032) % 199.49/199.86 [3004]~P87(x30041)+P87(x30042)+~E(x30041,x30042) % 199.49/199.86 [3005]P23(x30052,x30053,x30054,x30055,x30056,x30057)+~E(x30051,x30052)+~P23(x30051,x30053,x30054,x30055,x30056,x30057) % 199.49/199.86 [3006]P23(x30063,x30062,x30064,x30065,x30066,x30067)+~E(x30061,x30062)+~P23(x30063,x30061,x30064,x30065,x30066,x30067) % 199.49/199.87 [3007]P23(x30073,x30074,x30072,x30075,x30076,x30077)+~E(x30071,x30072)+~P23(x30073,x30074,x30071,x30075,x30076,x30077) % 199.49/199.87 [3008]P23(x30083,x30084,x30085,x30082,x30086,x30087)+~E(x30081,x30082)+~P23(x30083,x30084,x30085,x30081,x30086,x30087) % 199.49/199.87 [3009]P23(x30093,x30094,x30095,x30096,x30092,x30097)+~E(x30091,x30092)+~P23(x30093,x30094,x30095,x30096,x30091,x30097) % 199.49/199.87 [3010]P23(x30103,x30104,x30105,x30106,x30107,x30102)+~E(x30101,x30102)+~P23(x30103,x30104,x30105,x30106,x30107,x30101) % 199.49/199.87 [3011]P8(x30112,x30113,x30114)+~E(x30111,x30112)+~P8(x30111,x30113,x30114) % 199.49/199.87 [3012]P8(x30123,x30122,x30124)+~E(x30121,x30122)+~P8(x30123,x30121,x30124) % 199.49/199.87 [3013]P8(x30133,x30134,x30132)+~E(x30131,x30132)+~P8(x30133,x30134,x30131) % 199.49/199.87 [3014]P55(x30142,x30143,x30144)+~E(x30141,x30142)+~P55(x30141,x30143,x30144) % 199.49/199.87 [3015]P55(x30153,x30152,x30154)+~E(x30151,x30152)+~P55(x30153,x30151,x30154) % 199.49/199.87 [3016]P55(x30163,x30164,x30162)+~E(x30161,x30162)+~P55(x30163,x30164,x30161) % 199.49/199.87 [3017]~P132(x30171)+P132(x30172)+~E(x30171,x30172) % 199.49/199.87 [3018]~P133(x30181)+P133(x30182)+~E(x30181,x30182) % 199.49/199.87 [3019]P18(x30192,x30193,x30194)+~E(x30191,x30192)+~P18(x30191,x30193,x30194) % 199.49/199.87 [3020]P18(x30203,x30202,x30204)+~E(x30201,x30202)+~P18(x30203,x30201,x30204) % 199.49/199.87 [3021]P18(x30213,x30214,x30212)+~E(x30211,x30212)+~P18(x30213,x30214,x30211) % 199.49/199.87 [3022]~P134(x30221)+P134(x30222)+~E(x30221,x30222) % 199.49/199.87 [3023]~P88(x30231)+P88(x30232)+~E(x30231,x30232) % 199.49/199.87 [3024]~P6(x30241)+P6(x30242)+~E(x30241,x30242) % 199.49/199.87 [3025]~P146(x30251)+P146(x30252)+~E(x30251,x30252) % 199.49/199.87 [3026]P20(x30262,x30263,x30264,x30265)+~E(x30261,x30262)+~P20(x30261,x30263,x30264,x30265) % 199.49/199.87 [3027]P20(x30273,x30272,x30274,x30275)+~E(x30271,x30272)+~P20(x30273,x30271,x30274,x30275) % 199.49/199.87 [3028]P20(x30283,x30284,x30282,x30285)+~E(x30281,x30282)+~P20(x30283,x30284,x30281,x30285) % 199.49/199.87 [3029]P20(x30293,x30294,x30295,x30292)+~E(x30291,x30292)+~P20(x30293,x30294,x30295,x30291) % 199.49/199.87 [3030]~P82(x30301)+P82(x30302)+~E(x30301,x30302) % 199.49/199.87 [3031]P62(x30312,x30313)+~E(x30311,x30312)+~P62(x30311,x30313) % 199.49/199.87 [3032]P62(x30323,x30322)+~E(x30321,x30322)+~P62(x30323,x30321) % 199.49/199.87 [3033]~P117(x30331)+P117(x30332)+~E(x30331,x30332) % 199.49/199.87 [3034]P58(x30342,x30343,x30344)+~E(x30341,x30342)+~P58(x30341,x30343,x30344) % 199.49/199.87 [3035]P58(x30353,x30352,x30354)+~E(x30351,x30352)+~P58(x30353,x30351,x30354) % 199.49/199.87 [3036]P58(x30363,x30364,x30362)+~E(x30361,x30362)+~P58(x30363,x30364,x30361) % 199.49/199.87 [3037]~P65(x30371)+P65(x30372)+~E(x30371,x30372) % 199.49/199.87 [3038]P59(x30382,x30383,x30384,x30385,x30386)+~E(x30381,x30382)+~P59(x30381,x30383,x30384,x30385,x30386) % 199.49/199.87 [3039]P59(x30393,x30392,x30394,x30395,x30396)+~E(x30391,x30392)+~P59(x30393,x30391,x30394,x30395,x30396) % 199.49/199.87 [3040]P59(x30403,x30404,x30402,x30405,x30406)+~E(x30401,x30402)+~P59(x30403,x30404,x30401,x30405,x30406) % 199.49/199.87 [3041]P59(x30413,x30414,x30415,x30412,x30416)+~E(x30411,x30412)+~P59(x30413,x30414,x30415,x30411,x30416) % 199.49/199.87 [3042]P59(x30423,x30424,x30425,x30426,x30422)+~E(x30421,x30422)+~P59(x30423,x30424,x30425,x30426,x30421) % 199.49/199.87 [3043]~P137(x30431)+P137(x30432)+~E(x30431,x30432) % 199.49/199.87 [3044]P29(x30442,x30443)+~E(x30441,x30442)+~P29(x30441,x30443) % 199.49/199.87 [3045]P29(x30453,x30452)+~E(x30451,x30452)+~P29(x30453,x30451) % 199.49/199.87 [3046]P54(x30462,x30463)+~E(x30461,x30462)+~P54(x30461,x30463) % 199.49/199.87 [3047]P54(x30473,x30472)+~E(x30471,x30472)+~P54(x30473,x30471) % 199.49/199.87 [3048]~P144(x30481)+P144(x30482)+~E(x30481,x30482) % 199.49/199.87 [3049]~P139(x30491)+P139(x30492)+~E(x30491,x30492) % 199.49/199.87 [3050]~P105(x30501)+P105(x30502)+~E(x30501,x30502) % 199.49/199.87 [3051]~P66(x30511)+P66(x30512)+~E(x30511,x30512) % 199.49/199.87 [3052]~P147(x30521)+P147(x30522)+~E(x30521,x30522) % 199.49/199.87 [3053]P49(x30532,x30533,x30534)+~E(x30531,x30532)+~P49(x30531,x30533,x30534) % 199.49/199.87 [3054]P49(x30543,x30542,x30544)+~E(x30541,x30542)+~P49(x30543,x30541,x30544) % 199.49/199.87 [3055]P49(x30553,x30554,x30552)+~E(x30551,x30552)+~P49(x30553,x30554,x30551) % 199.49/199.87 [3056]~P92(x30561)+P92(x30562)+~E(x30561,x30562) % 199.49/199.87 [3057]~P89(x30571)+P89(x30572)+~E(x30571,x30572) % 199.49/199.87 [3058]~P142(x30581)+P142(x30582)+~E(x30581,x30582) % 199.49/199.87 [3059]P30(x30592,x30593,x30594)+~E(x30591,x30592)+~P30(x30591,x30593,x30594) % 199.49/199.87 [3060]P30(x30603,x30602,x30604)+~E(x30601,x30602)+~P30(x30603,x30601,x30604) % 199.49/199.87 [3061]P30(x30613,x30614,x30612)+~E(x30611,x30612)+~P30(x30613,x30614,x30611) % 199.49/199.87 [3062]~P128(x30621)+P128(x30622)+~E(x30621,x30622) % 199.49/199.87 [3063]~P140(x30631)+P140(x30632)+~E(x30631,x30632) % 199.49/199.87 [3064]P7(x30642,x30643)+~E(x30641,x30642)+~P7(x30641,x30643) % 199.49/199.87 [3065]P7(x30653,x30652)+~E(x30651,x30652)+~P7(x30653,x30651) % 199.49/199.87 [3066]P16(x30662,x30663,x30664)+~E(x30661,x30662)+~P16(x30661,x30663,x30664) % 199.49/199.87 [3067]P16(x30673,x30672,x30674)+~E(x30671,x30672)+~P16(x30673,x30671,x30674) % 199.49/199.87 [3068]P16(x30683,x30684,x30682)+~E(x30681,x30682)+~P16(x30683,x30684,x30681) % 199.49/199.87 [3069]P52(x30692,x30693)+~E(x30691,x30692)+~P52(x30691,x30693) % 199.49/199.87 [3070]P52(x30703,x30702)+~E(x30701,x30702)+~P52(x30703,x30701) % 199.49/199.87 [3071]~P102(x30711)+P102(x30712)+~E(x30711,x30712) % 199.49/199.87 [3072]P41(x30722,x30723)+~E(x30721,x30722)+~P41(x30721,x30723) % 199.49/199.87 [3073]P41(x30733,x30732)+~E(x30731,x30732)+~P41(x30733,x30731) % 199.49/199.87 [3074]~P101(x30741)+P101(x30742)+~E(x30741,x30742) % 199.49/199.87 [3075]~P141(x30751)+P141(x30752)+~E(x30751,x30752) % 199.49/199.87 [3076]~P138(x30761)+P138(x30762)+~E(x30761,x30762) % 199.49/199.87 [3077]P45(x30772,x30773)+~E(x30771,x30772)+~P45(x30771,x30773) % 199.49/199.87 [3078]P45(x30783,x30782)+~E(x30781,x30782)+~P45(x30783,x30781) % 199.49/199.87 [3079]~P122(x30791)+P122(x30792)+~E(x30791,x30792) % 199.49/199.87 [3080]P27(x30802,x30803)+~E(x30801,x30802)+~P27(x30801,x30803) % 199.49/199.87 [3081]P27(x30813,x30812)+~E(x30811,x30812)+~P27(x30813,x30811) % 199.49/199.87 [3082]~P125(x30821)+P125(x30822)+~E(x30821,x30822) % 199.49/199.87 [3083]P53(x30832,x30833)+~E(x30831,x30832)+~P53(x30831,x30833) % 199.49/199.87 [3084]P53(x30843,x30842)+~E(x30841,x30842)+~P53(x30843,x30841) % 199.49/199.87 [3085]P32(x30852,x30853,x30854)+~E(x30851,x30852)+~P32(x30851,x30853,x30854) % 199.49/199.87 [3086]P32(x30863,x30862,x30864)+~E(x30861,x30862)+~P32(x30863,x30861,x30864) % 199.49/199.87 [3087]P32(x30873,x30874,x30872)+~E(x30871,x30872)+~P32(x30873,x30874,x30871) % 199.49/199.87 [3088]~P64(x30881)+P64(x30882)+~E(x30881,x30882) % 199.49/199.87 [3089]~P135(x30891)+P135(x30892)+~E(x30891,x30892) % 199.49/199.87 [3090]~P120(x30901)+P120(x30902)+~E(x30901,x30902) % 199.49/199.87 [3091]~P100(x30911)+P100(x30912)+~E(x30911,x30912) % 199.49/199.87 [3092]~P136(x30921)+P136(x30922)+~E(x30921,x30922) % 199.49/199.87 [3093]~P98(x30931)+P98(x30932)+~E(x30931,x30932) % 199.49/199.87 [3094]P9(x30942,x30943,x30944)+~E(x30941,x30942)+~P9(x30941,x30943,x30944) % 199.49/199.87 [3095]P9(x30953,x30952,x30954)+~E(x30951,x30952)+~P9(x30953,x30951,x30954) % 199.49/199.87 [3096]P9(x30963,x30964,x30962)+~E(x30961,x30962)+~P9(x30963,x30964,x30961) % 199.49/199.87 [3097]P44(x30972,x30973,x30974,x30975,x30976,x30977)+~E(x30971,x30972)+~P44(x30971,x30973,x30974,x30975,x30976,x30977) % 199.49/199.87 [3098]P44(x30983,x30982,x30984,x30985,x30986,x30987)+~E(x30981,x30982)+~P44(x30983,x30981,x30984,x30985,x30986,x30987) % 199.49/199.87 [3099]P44(x30993,x30994,x30992,x30995,x30996,x30997)+~E(x30991,x30992)+~P44(x30993,x30994,x30991,x30995,x30996,x30997) % 199.49/199.87 [3100]P44(x31003,x31004,x31005,x31002,x31006,x31007)+~E(x31001,x31002)+~P44(x31003,x31004,x31005,x31001,x31006,x31007) % 199.49/199.87 [3101]P44(x31013,x31014,x31015,x31016,x31012,x31017)+~E(x31011,x31012)+~P44(x31013,x31014,x31015,x31016,x31011,x31017) % 199.49/199.87 [3102]P44(x31023,x31024,x31025,x31026,x31027,x31022)+~E(x31021,x31022)+~P44(x31023,x31024,x31025,x31026,x31027,x31021) % 199.49/199.87 [3103]P37(x31032,x31033,x31034)+~E(x31031,x31032)+~P37(x31031,x31033,x31034) % 199.49/199.87 [3104]P37(x31043,x31042,x31044)+~E(x31041,x31042)+~P37(x31043,x31041,x31044) % 199.49/199.87 [3105]P37(x31053,x31054,x31052)+~E(x31051,x31052)+~P37(x31053,x31054,x31051) % 199.49/199.87 [3106]P11(x31062,x31063,x31064,x31065)+~E(x31061,x31062)+~P11(x31061,x31063,x31064,x31065) % 199.49/199.87 [3107]P11(x31073,x31072,x31074,x31075)+~E(x31071,x31072)+~P11(x31073,x31071,x31074,x31075) % 199.49/199.87 [3108]P11(x31083,x31084,x31082,x31085)+~E(x31081,x31082)+~P11(x31083,x31084,x31081,x31085) % 199.49/199.87 [3109]P11(x31093,x31094,x31095,x31092)+~E(x31091,x31092)+~P11(x31093,x31094,x31095,x31091) % 199.49/199.87 [3110]P17(x31102,x31103,x31104)+~E(x31101,x31102)+~P17(x31101,x31103,x31104) % 199.49/199.87 [3111]P17(x31113,x31112,x31114)+~E(x31111,x31112)+~P17(x31113,x31111,x31114) % 199.49/199.87 [3112]P17(x31123,x31124,x31122)+~E(x31121,x31122)+~P17(x31123,x31124,x31121) % 199.49/199.87 [3113]~P96(x31131)+P96(x31132)+~E(x31131,x31132) % 199.49/199.87 [3114]~P143(x31141)+P143(x31142)+~E(x31141,x31142) % 199.49/199.87 [3115]~P126(x31151)+P126(x31152)+~E(x31151,x31152) % 199.49/199.87 [3116]~P149(x31161)+P149(x31162)+~E(x31161,x31162) % 199.49/199.87 [3117]~P103(x31171)+P103(x31172)+~E(x31171,x31172) % 199.49/199.87 [3118]~P127(x31181)+P127(x31182)+~E(x31181,x31182) % 199.49/199.87 [3119]~P90(x31191)+P90(x31192)+~E(x31191,x31192) % 199.49/199.87 [3120]~P106(x31201)+P106(x31202)+~E(x31201,x31202) % 199.49/199.87 [3121]P31(x31212,x31213,x31214)+~E(x31211,x31212)+~P31(x31211,x31213,x31214) % 199.49/199.87 [3122]P31(x31223,x31222,x31224)+~E(x31221,x31222)+~P31(x31223,x31221,x31224) % 199.49/199.87 [3123]P31(x31233,x31234,x31232)+~E(x31231,x31232)+~P31(x31233,x31234,x31231) % 199.49/199.87 [3124]P51(x31242,x31243,x31244,x31245)+~E(x31241,x31242)+~P51(x31241,x31243,x31244,x31245) % 199.49/199.87 [3125]P51(x31253,x31252,x31254,x31255)+~E(x31251,x31252)+~P51(x31253,x31251,x31254,x31255) % 199.49/199.87 [3126]P51(x31263,x31264,x31262,x31265)+~E(x31261,x31262)+~P51(x31263,x31264,x31261,x31265) % 199.49/199.87 [3127]P51(x31273,x31274,x31275,x31272)+~E(x31271,x31272)+~P51(x31273,x31274,x31275,x31271) % 199.49/199.87 [3128]P12(x31282,x31283,x31284,x31285,x31286,x31287)+~E(x31281,x31282)+~P12(x31281,x31283,x31284,x31285,x31286,x31287) % 199.49/199.87 [3129]P12(x31293,x31292,x31294,x31295,x31296,x31297)+~E(x31291,x31292)+~P12(x31293,x31291,x31294,x31295,x31296,x31297) % 199.49/199.87 [3130]P12(x31303,x31304,x31302,x31305,x31306,x31307)+~E(x31301,x31302)+~P12(x31303,x31304,x31301,x31305,x31306,x31307) % 199.49/199.87 [3131]P12(x31313,x31314,x31315,x31312,x31316,x31317)+~E(x31311,x31312)+~P12(x31313,x31314,x31315,x31311,x31316,x31317) % 199.49/199.87 [3132]P12(x31323,x31324,x31325,x31326,x31322,x31327)+~E(x31321,x31322)+~P12(x31323,x31324,x31325,x31326,x31321,x31327) % 199.49/199.87 [3133]P12(x31333,x31334,x31335,x31336,x31337,x31332)+~E(x31331,x31332)+~P12(x31333,x31334,x31335,x31336,x31337,x31331) % 199.49/199.87 [3134]~P119(x31341)+P119(x31342)+~E(x31341,x31342) % 199.49/199.87 [3135]~P79(x31351)+P79(x31352)+~E(x31351,x31352) % 199.49/199.87 [3136]~P107(x31361)+P107(x31362)+~E(x31361,x31362) % 199.49/199.87 [3137]~P75(x31371)+P75(x31372)+~E(x31371,x31372) % 199.49/199.87 [3138]~P47(x31381)+P47(x31382)+~E(x31381,x31382) % 199.49/199.87 [3139]P21(x31392,x31393,x31394,x31395,x31396)+~E(x31391,x31392)+~P21(x31391,x31393,x31394,x31395,x31396) % 199.49/199.87 [3140]P21(x31403,x31402,x31404,x31405,x31406)+~E(x31401,x31402)+~P21(x31403,x31401,x31404,x31405,x31406) % 199.49/199.87 [3141]P21(x31413,x31414,x31412,x31415,x31416)+~E(x31411,x31412)+~P21(x31413,x31414,x31411,x31415,x31416) % 199.49/199.87 [3142]P21(x31423,x31424,x31425,x31422,x31426)+~E(x31421,x31422)+~P21(x31423,x31424,x31425,x31421,x31426) % 199.49/199.87 [3143]P21(x31433,x31434,x31435,x31436,x31432)+~E(x31431,x31432)+~P21(x31433,x31434,x31435,x31436,x31431) % 199.49/199.87 [3144]P46(x31442,x31443)+~E(x31441,x31442)+~P46(x31441,x31443) % 199.49/199.87 [3145]P46(x31453,x31452)+~E(x31451,x31452)+~P46(x31453,x31451) % 199.49/199.87 [3146]P48(x31462,x31463)+~E(x31461,x31462)+~P48(x31461,x31463) % 199.49/199.87 [3147]P48(x31473,x31472)+~E(x31471,x31472)+~P48(x31473,x31471) % 199.49/199.87 [3148]~P38(x31481)+P38(x31482)+~E(x31481,x31482) % 199.49/199.87 [3149]~P118(x31491)+P118(x31492)+~E(x31491,x31492) % 199.49/199.87 [3150]P43(x31502,x31503,x31504,x31505)+~E(x31501,x31502)+~P43(x31501,x31503,x31504,x31505) % 199.49/199.87 [3151]P43(x31513,x31512,x31514,x31515)+~E(x31511,x31512)+~P43(x31513,x31511,x31514,x31515) % 199.49/199.87 [3152]P43(x31523,x31524,x31522,x31525)+~E(x31521,x31522)+~P43(x31523,x31524,x31521,x31525) % 199.49/199.87 [3153]P43(x31533,x31534,x31535,x31532)+~E(x31531,x31532)+~P43(x31533,x31534,x31535,x31531) % 199.49/199.87 [3154]~P91(x31541)+P91(x31542)+~E(x31541,x31542) % 199.49/199.87 [3155]P56(x31552,x31553)+~E(x31551,x31552)+~P56(x31551,x31553) % 199.49/199.87 [3156]P56(x31563,x31562)+~E(x31561,x31562)+~P56(x31563,x31561) % 199.49/199.87 [3157]P22(x31572,x31573,x31574,x31575,x31576,x31577)+~E(x31571,x31572)+~P22(x31571,x31573,x31574,x31575,x31576,x31577) % 199.49/199.87 [3158]P22(x31583,x31582,x31584,x31585,x31586,x31587)+~E(x31581,x31582)+~P22(x31583,x31581,x31584,x31585,x31586,x31587) % 199.49/199.87 [3159]P22(x31593,x31594,x31592,x31595,x31596,x31597)+~E(x31591,x31592)+~P22(x31593,x31594,x31591,x31595,x31596,x31597) % 199.49/199.87 [3160]P22(x31603,x31604,x31605,x31602,x31606,x31607)+~E(x31601,x31602)+~P22(x31603,x31604,x31605,x31601,x31606,x31607) % 199.49/199.87 [3161]P22(x31613,x31614,x31615,x31616,x31612,x31617)+~E(x31611,x31612)+~P22(x31613,x31614,x31615,x31616,x31611,x31617) % 199.49/199.87 [3162]P22(x31623,x31624,x31625,x31626,x31627,x31622)+~E(x31621,x31622)+~P22(x31623,x31624,x31625,x31626,x31627,x31621) % 199.49/199.87 [3163]P50(x31632,x31633,x31634)+~E(x31631,x31632)+~P50(x31631,x31633,x31634) % 199.49/199.87 [3164]P50(x31643,x31642,x31644)+~E(x31641,x31642)+~P50(x31643,x31641,x31644) % 199.49/199.87 [3165]P50(x31653,x31654,x31652)+~E(x31651,x31652)+~P50(x31653,x31654,x31651) % 199.49/199.87 % 199.49/199.87 %------------------------------------------- % 199.49/199.92 cnf(10520,plain, % 199.49/199.92 (E(f32(x105201,x105202,x105203,x105204,x105205,x105206,x105207,x105208,x105209,a25),x105202)), % 199.49/199.92 inference(rename_variables,[],[4719])). % 199.49/199.92 cnf(10523,plain, % 199.49/199.92 (~E(f330(a115,x105231),x105231)), % 199.49/199.92 inference(rename_variables,[],[4733])). % 199.49/199.92 cnf(10532,plain, % 199.49/199.92 (~E(f330(f171(x105321),f330(a115,f330(f171(x105321),x105322))),x105322)), % 199.49/199.92 inference(scs_inference,[],[4719,4733,10523,3398,3409,4801,4835,4861,4916,4920,4950,4965])). % 199.49/199.92 cnf(10533,plain, % 199.49/199.92 (~E(f330(a115,x105331),x105331)), % 199.49/199.92 inference(rename_variables,[],[4733])). % 199.49/199.92 cnf(10540,plain, % 199.49/199.92 (E(f32(x105401,x105402,x105403,x105404,x105405,x105406,x105407,x105408,x105409,a25),x105402)), % 199.49/199.92 inference(rename_variables,[],[4719])). % 199.49/199.92 cnf(10547,plain, % 199.49/199.92 (~E(f330(a115,x105471),x105471)), % 199.49/199.92 inference(rename_variables,[],[4733])). % 199.49/199.92 cnf(10552,plain, % 199.49/199.92 (~P108(f330(f330(f175(x105521),f116(x105521)),x105522))), % 199.49/199.92 inference(rename_variables,[],[4803])). % 199.49/199.92 cnf(10555,plain, % 199.49/199.92 (~P108(f330(f330(f175(x105551),f116(x105551)),x105552))), % 199.49/199.92 inference(rename_variables,[],[4803])). % 199.49/199.92 cnf(10558,plain, % 199.49/199.92 (~E(f330(a115,x105581),x105581)), % 199.49/199.92 inference(rename_variables,[],[4733])). % 199.49/199.92 cnf(10561,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),x105611),f2(a928)))), % 199.49/199.92 inference(rename_variables,[],[4798])). % 199.49/199.92 cnf(10564,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),x105641),f2(a928)))), % 199.49/199.92 inference(rename_variables,[],[4798])). % 199.49/199.92 cnf(10581,plain, % 199.49/199.92 (~P108(f330(f330(f238(a928),f330(a115,x105811)),x105811))), % 199.49/199.92 inference(rename_variables,[],[4804])). % 199.49/199.92 cnf(10584,plain, % 199.49/199.92 (~E(f330(f330(f154(x105841),x105842),x105843),x105843)), % 199.49/199.92 inference(rename_variables,[],[4758])). % 199.49/199.92 cnf(10590,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),x105901),f2(a928)))), % 199.49/199.92 inference(rename_variables,[],[4798])). % 199.49/199.92 cnf(10593,plain, % 199.49/199.92 (E(f32(x105931,x105932,x105933,x105934,x105935,x105936,x105937,x105938,x105939,a25),x105932)), % 199.49/199.92 inference(rename_variables,[],[4719])). % 199.49/199.92 cnf(10596,plain, % 199.49/199.92 (E(f32(x105961,x105962,x105963,x105964,x105965,x105966,x105967,x105968,x105969,a25),x105962)), % 199.49/199.92 inference(rename_variables,[],[4719])). % 199.49/199.92 cnf(10601,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),x106011),x106011))), % 199.49/199.92 inference(rename_variables,[],[4794])). % 199.49/199.92 cnf(10606,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),f330(f330(f82(a928),x106061),x106062)),x106062))), % 199.49/199.92 inference(rename_variables,[],[4818])). % 199.49/199.92 cnf(10609,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),f330(f330(f82(a928),x106091),x106092)),x106092))), % 199.49/199.92 inference(rename_variables,[],[4818])). % 199.49/199.92 cnf(10616,plain, % 199.49/199.92 (~E(x106161,f330(a115,x106161))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,4733,10523,10533,10547,3401,3465,3398,3426,3409,4758,3635,3551,4798,10561,10564,4795,4753,4803,10552,4794,4804,4389,4801,3544,4787,4820,4818,10606,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435])). % 199.49/199.92 cnf(10620,plain, % 199.49/199.92 (~P108(f330(f148(x106201,x106202),f330(f330(f255(f929(x106201),f929(x106201)),x106203),f116(x106201))))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,4733,10523,10533,10547,3401,3465,3398,3426,3409,4758,4823,3635,3551,4798,10561,10564,4153,4795,4753,4803,10552,4794,4804,4389,4801,3544,4787,4820,4818,10606,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444])). % 199.49/199.92 cnf(10630,plain, % 199.49/199.92 (~E(f330(a115,x106301),x106301)), % 199.49/199.92 inference(rename_variables,[],[4733])). % 199.49/199.92 cnf(10633,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),x106331),x106331))), % 199.49/199.92 inference(rename_variables,[],[4794])). % 199.49/199.92 cnf(10636,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),f46(a928,x106361,x106362)),x106361))), % 199.49/199.92 inference(rename_variables,[],[4024])). % 199.49/199.92 cnf(10657,plain, % 199.49/199.92 (E(f330(f36(a928),f330(f285(a928),x106571)),x106571)), % 199.49/199.92 inference(rename_variables,[],[3462])). % 199.49/199.92 cnf(10665,plain, % 199.49/199.92 (~E(f330(a115,x106651),x106651)), % 199.49/199.92 inference(rename_variables,[],[4733])). % 199.49/199.92 cnf(10668,plain, % 199.49/199.92 (~E(f330(a115,x106681),x106681)), % 199.49/199.92 inference(rename_variables,[],[4733])). % 199.49/199.92 cnf(10671,plain, % 199.49/199.92 (~E(f330(a115,x106711),x106711)), % 199.49/199.92 inference(rename_variables,[],[4733])). % 199.49/199.92 cnf(10673,plain, % 199.49/199.92 (P108(f330(a196,a100))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,4733,10523,10533,10547,10558,10630,10665,10668,3401,3465,3398,3426,3409,3498,4758,3462,4823,3483,3635,3551,4798,10561,10564,4153,3570,4795,4753,4803,10552,4794,10601,10633,3660,4087,4024,4804,10581,4389,4801,4786,3544,4787,4820,4818,10606,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579])). % 199.49/199.92 cnf(10676,plain, % 199.49/199.92 (P108(f330(f330(f239(a928),x106761),f330(a115,x106761)))), % 199.49/199.92 inference(rename_variables,[],[3635])). % 199.49/199.92 cnf(10678,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x106781),f330(a115,x106781)))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,4733,10523,10533,10547,10558,10630,10665,10668,3401,3465,3398,3426,3409,3498,4758,3462,4823,3483,3635,3551,4798,10561,10564,4153,3570,4795,4753,4803,10552,4794,10601,10633,3660,4087,4024,4804,10581,4389,4801,4786,3544,4787,4820,4818,10606,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591])). % 199.49/199.92 cnf(10685,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x106851),x106851))), % 199.49/199.92 inference(rename_variables,[],[3567])). % 199.49/199.92 cnf(10692,plain, % 199.49/199.92 (E(f32(x106921,x106922,x106923,x106924,x106925,x106926,x106927,x106928,x106929,a25),x106922)), % 199.49/199.92 inference(rename_variables,[],[4719])). % 199.49/199.92 cnf(10695,plain, % 199.49/199.92 (E(f32(x106951,x106952,x106953,x106954,x106955,x106956,x106957,x106958,x106959,a25),x106952)), % 199.49/199.92 inference(rename_variables,[],[4719])). % 199.49/199.92 cnf(10712,plain, % 199.49/199.92 (P108(f330(f330(f238(a1),x107121),x107121))), % 199.49/199.92 inference(rename_variables,[],[3568])). % 199.49/199.92 cnf(10717,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),x107171),f2(a928)))), % 199.49/199.92 inference(rename_variables,[],[4798])). % 199.49/199.92 cnf(10720,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x107201,a923)),x107202),f245(f935(x107201,a923))))), % 199.49/199.92 inference(rename_variables,[],[3949])). % 199.49/199.92 cnf(10724,plain, % 199.49/199.92 (P108(f330(f330(f238(a1),f2(a1)),f886(f330(f175(x107241),f116(x107241)))))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,4733,10523,10533,10547,10558,10630,10665,10668,3401,3465,3398,3426,3409,3498,4758,3462,4348,4823,3483,3635,10676,3551,4798,10561,10564,10590,4006,4153,3596,3570,4795,4753,4803,10552,10555,4298,3949,3567,3568,4794,10601,10633,3660,4087,4024,10636,4804,10581,4389,4801,4786,3544,4787,4820,4047,4818,10606,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683])). % 199.49/199.92 cnf(10725,plain, % 199.49/199.92 (~P108(f330(f330(f175(x107251),f116(x107251)),x107252))), % 199.49/199.92 inference(rename_variables,[],[4803])). % 199.49/199.92 cnf(10754,plain, % 199.49/199.92 (~E(f330(f330(f154(x107541),x107542),x107543),x107543)), % 199.49/199.92 inference(rename_variables,[],[4758])). % 199.49/199.92 cnf(10757,plain, % 199.49/199.92 (~E(f330(a115,x107571),f2(a928))), % 199.49/199.92 inference(rename_variables,[],[4745])). % 199.49/199.92 cnf(10768,plain, % 199.49/199.92 (P108(f330(f330(f238(a1),x107681),x107681))), % 199.49/199.92 inference(rename_variables,[],[3568])). % 199.49/199.92 cnf(10773,plain, % 199.49/199.92 (~E(f330(a115,x107731),x107731)), % 199.49/199.92 inference(rename_variables,[],[4733])). % 199.49/199.92 cnf(10776,plain, % 199.49/199.92 (~P108(f330(f330(f191(f935(x107761,f935(x107762,a923))),x107763),x107764))), % 199.49/199.92 inference(rename_variables,[],[4821])). % 199.49/199.92 cnf(10783,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x107831),x107831))), % 199.49/199.92 inference(rename_variables,[],[3567])). % 199.49/199.92 cnf(10787,plain, % 199.49/199.92 (~E(f330(f171(x107871),f330(f330(f154(x107871),x107872),x107873)),f116(x107871))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,4733,10523,10533,10547,10558,10630,10665,10668,10671,4745,3401,3465,3398,3426,3409,3498,4758,10584,3462,4348,4823,3483,3931,3635,10676,3551,4798,10561,10564,10590,10717,4006,4153,3594,3596,3570,4795,4753,4803,10552,10555,4298,3949,3567,10685,3568,10712,4794,10601,10633,3660,4087,4024,10636,4804,10581,4389,4801,4786,3544,3548,4787,4820,4821,4047,4818,10606,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923])). % 199.49/199.92 cnf(10796,plain, % 199.49/199.92 (P108(f330(f330(f239(a928),x107961),f330(a115,x107961)))), % 199.49/199.92 inference(rename_variables,[],[3635])). % 199.49/199.92 cnf(10817,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x108171,a923)),x108172),f245(f935(x108171,a923))))), % 199.49/199.92 inference(rename_variables,[],[3949])). % 199.49/199.92 cnf(10820,plain, % 199.49/199.92 (~P108(f330(f330(f175(x108201),f116(x108201)),x108202))), % 199.49/199.92 inference(rename_variables,[],[4803])). % 199.49/199.92 cnf(10830,plain, % 199.49/199.92 (P108(f330(f330(f239(a928),x108301),f330(a115,f330(a115,x108301))))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,4733,10523,10533,10547,10558,10630,10665,10668,10671,4745,3401,3465,3398,3426,3409,4038,3498,4758,10584,3462,4348,4823,3483,3931,3635,10676,10796,3551,4798,10561,10564,10590,10717,4006,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,4298,3949,10720,3567,10685,10783,3568,10712,4794,10601,10633,3660,4087,4024,10636,4804,10581,4389,4801,4786,3544,3548,4788,4787,4820,4821,4047,4818,10606,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021])). % 199.49/199.92 cnf(10839,plain, % 199.49/199.92 (~P108(f330(f330(f175(x108391),f116(x108391)),x108392))), % 199.49/199.92 inference(rename_variables,[],[4803])). % 199.49/199.92 cnf(10846,plain, % 199.49/199.92 (~P108(f330(f330(f175(x108461),f116(x108461)),x108462))), % 199.49/199.92 inference(rename_variables,[],[4803])). % 199.49/199.92 cnf(10857,plain, % 199.49/199.92 (~E(f330(a115,x108571),f2(a928))), % 199.49/199.92 inference(rename_variables,[],[4745])). % 199.49/199.92 cnf(10862,plain, % 199.49/199.92 (P108(f330(f330(f332(x108621),x108622),f245(f935(x108621,a923))))), % 199.49/199.92 inference(rename_variables,[],[3720])). % 199.49/199.92 cnf(10866,plain, % 199.49/199.92 (P108(f330(f330(f239(a928),f2(a928)),f330(a107,f80(a1))))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,4733,10523,10533,10547,10558,10630,10665,10668,10671,4745,10757,3401,3465,3398,3426,3409,4038,3498,4758,10584,3462,4348,4823,3483,3931,3635,10676,10796,3551,4798,10561,10564,10590,10717,4811,4006,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,4298,3949,10720,3567,10685,10783,3568,10712,4794,10601,10633,3720,3660,4087,4024,10636,4804,10581,4389,4801,4786,3544,3548,4788,4787,4820,4821,4047,4818,10606,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163])). % 199.49/199.92 cnf(10869,plain, % 199.49/199.92 (~P108(f330(f330(f175(x108691),f116(x108691)),x108692))), % 199.49/199.92 inference(rename_variables,[],[4803])). % 199.49/199.92 cnf(10874,plain, % 199.49/199.92 (P108(f330(f330(f239(a928),x108741),f330(a115,x108741)))), % 199.49/199.92 inference(rename_variables,[],[3635])). % 199.49/199.92 cnf(10877,plain, % 199.49/199.92 (~P108(f330(f330(f175(x108771),f116(x108771)),x108772))), % 199.49/199.92 inference(rename_variables,[],[4803])). % 199.49/199.92 cnf(10880,plain, % 199.49/199.92 (~P108(f330(f330(f175(x108801),f116(x108801)),x108802))), % 199.49/199.92 inference(rename_variables,[],[4803])). % 199.49/199.92 cnf(10883,plain, % 199.49/199.92 (~P108(f330(f63(x108831,x108832,f191(f935(x108831,a923))),x108833))), % 199.49/199.92 inference(rename_variables,[],[4817])). % 199.49/199.92 cnf(10886,plain, % 199.49/199.92 (~P108(f330(f63(x108861,x108862,f191(f935(x108861,a923))),x108863))), % 199.49/199.92 inference(rename_variables,[],[4817])). % 199.49/199.92 cnf(10889,plain, % 199.49/199.92 (~P108(f330(f330(f191(f935(x108891,f935(x108892,a923))),x108893),x108894))), % 199.49/199.92 inference(rename_variables,[],[4821])). % 199.49/199.92 cnf(10892,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),x108921),f2(a928)))), % 199.49/199.92 inference(rename_variables,[],[4798])). % 199.49/199.92 cnf(10897,plain, % 199.49/199.92 (~P108(f330(f330(f175(x108971),f116(x108971)),x108972))), % 199.49/199.92 inference(rename_variables,[],[4803])). % 199.49/199.92 cnf(10907,plain, % 199.49/199.92 (~E(f330(f171(x109071),f330(a115,f330(f330(f137(x109071),f330(f171(x109071),x109072)),f330(f330(f154(x109071),x109073),f116(x109071))))),f330(f330(f154(x109071),x109073),x109072))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,4745,10757,3401,3465,3398,3426,3409,4038,3498,4758,10584,3462,4348,4823,3483,3931,3635,10676,10796,10874,3551,4798,10561,10564,10590,10717,4811,4006,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,4298,3949,10720,3567,10685,10783,3568,10712,4794,10601,10633,3720,3660,4087,4024,10636,4804,10581,4389,4801,4786,3544,3548,4788,4787,4817,10883,4820,4821,10776,4047,4818,10606,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278])). % 199.49/199.92 cnf(10908,plain, % 199.49/199.92 (~E(f330(a115,x109081),x109081)), % 199.49/199.92 inference(rename_variables,[],[4733])). % 199.49/199.92 cnf(10926,plain, % 199.49/199.92 (P108(f330(f330(f239(a102),f330(a3,x109261)),f330(a3,f330(a115,x109261))))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,4745,10757,3401,3465,3398,3426,3409,4038,3498,4758,10584,3462,4348,4823,3483,3931,3635,10676,10796,10874,4019,3551,4798,10561,10564,10590,10717,4811,4006,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,4298,3949,10720,3567,10685,10783,3568,10712,4794,10601,10633,3720,3660,4087,4024,10636,4804,10581,4389,4801,4786,3544,3548,4788,4787,4817,10883,4820,4821,10776,4047,4818,10606,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361])). % 199.49/199.92 cnf(10933,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x109331),x109331))), % 199.49/199.92 inference(rename_variables,[],[3567])). % 199.49/199.92 cnf(10936,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x109361),f330(f330(f83(a928),x109361),x109361)))), % 199.49/199.92 inference(rename_variables,[],[3829])). % 199.49/199.92 cnf(10939,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x109391),f330(f330(f83(a928),x109391),x109391)))), % 199.49/199.92 inference(rename_variables,[],[3829])). % 199.49/199.92 cnf(10942,plain, % 199.49/199.92 (P108(f330(f330(f239(a928),x109421),f330(a115,f330(f330(f82(a928),x109422),x109421))))), % 199.49/199.92 inference(rename_variables,[],[4017])). % 199.49/199.92 cnf(10947,plain, % 199.49/199.92 (P108(f330(f330(f239(a928),x109471),f330(a115,x109471)))), % 199.49/199.92 inference(rename_variables,[],[3635])). % 199.49/199.92 cnf(10950,plain, % 199.49/199.92 (P108(f330(f330(f239(a928),x109501),f330(a115,x109501)))), % 199.49/199.92 inference(rename_variables,[],[3635])). % 199.49/199.92 cnf(10953,plain, % 199.49/199.92 (P108(f330(f330(f332(x109531),x109532),f245(f935(x109531,a923))))), % 199.49/199.92 inference(rename_variables,[],[3720])). % 199.49/199.92 cnf(10972,plain, % 199.49/199.92 (~P108(f330(f330(f238(a928),f330(a115,x109721)),x109721))), % 199.49/199.92 inference(rename_variables,[],[4804])). % 199.49/199.92 cnf(10975,plain, % 199.49/199.92 (~P108(f330(f330(f238(a928),f330(a115,x109751)),x109751))), % 199.49/199.92 inference(rename_variables,[],[4804])). % 199.49/199.92 cnf(10978,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),f330(f330(f82(a928),x109781),x109782)),x109782))), % 199.49/199.92 inference(rename_variables,[],[4818])). % 199.49/199.92 cnf(10981,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),f330(f330(f82(a928),x109811),x109812)),x109812))), % 199.49/199.92 inference(rename_variables,[],[4818])). % 199.49/199.92 cnf(10984,plain, % 199.49/199.92 (P108(f330(f245(f935(x109841,a923)),x109842))), % 199.49/199.92 inference(rename_variables,[],[3628])). % 199.49/199.92 cnf(10987,plain, % 199.49/199.92 (E(f330(f36(a928),f330(f285(a928),x109871)),x109871)), % 199.49/199.92 inference(rename_variables,[],[3462])). % 199.49/199.92 cnf(10990,plain, % 199.49/199.92 (P108(f330(f330(f239(a928),x109901),f330(a115,x109901)))), % 199.49/199.92 inference(rename_variables,[],[3635])). % 199.49/199.92 cnf(10997,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x109971),x109971))), % 199.49/199.92 inference(rename_variables,[],[3567])). % 199.49/199.92 cnf(11002,plain, % 199.49/199.92 (P108(f330(f330(f238(a1),x110021),x110021))), % 199.49/199.92 inference(rename_variables,[],[3568])). % 199.49/199.92 cnf(11011,plain, % 199.49/199.92 (E(f32(x110111,x110112,x110113,x110114,x110115,x110116,x110117,x110118,x110119,a25),x110112)), % 199.49/199.92 inference(rename_variables,[],[4719])). % 199.49/199.92 cnf(11014,plain, % 199.49/199.92 (P108(f330(f245(f935(x110141,a923)),x110142))), % 199.49/199.92 inference(rename_variables,[],[3628])). % 199.49/199.92 cnf(11017,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),f2(a928)),x110171))), % 199.49/199.92 inference(rename_variables,[],[3588])). % 199.49/199.92 cnf(11020,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x110201,a923)),f191(f935(x110201,a923))),x110202))), % 199.49/199.92 inference(rename_variables,[],[4016])). % 199.49/199.92 cnf(11023,plain, % 199.49/199.92 (P108(f330(f245(f935(x110231,a923)),x110232))), % 199.49/199.92 inference(rename_variables,[],[3628])). % 199.49/199.92 cnf(11026,plain, % 199.49/199.92 (P108(f330(f245(f935(x110261,a923)),x110262))), % 199.49/199.92 inference(rename_variables,[],[3628])). % 199.49/199.92 cnf(11029,plain, % 199.49/199.92 (P108(f330(f245(f935(x110291,a923)),x110292))), % 199.49/199.92 inference(rename_variables,[],[3628])). % 199.49/199.92 cnf(11032,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x110321),f330(f330(f83(a928),x110321),x110321)))), % 199.49/199.92 inference(rename_variables,[],[3829])). % 199.49/199.92 cnf(11036,plain, % 199.49/199.92 (E(f330(f171(x110361),f32(x110362,f330(f330(f137(x110361),f330(f171(x110361),x110363)),f330(f330(f154(x110361),x110364),f116(x110361))),x110365,x110366,x110367,x110368,x110369,x1103610,x1103611,a25)),f330(f330(f154(x110361),x110364),x110363))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,10695,11011,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,4745,10757,3401,3465,3398,3426,3409,4038,3498,4758,10584,3462,10657,4348,4823,3483,3931,3866,3635,10676,10796,10874,10947,10950,4019,3551,4798,10561,10564,10590,10717,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,4298,3949,10720,3567,10685,10783,10933,3568,10712,10768,4794,10601,10633,3720,10862,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,3588,4389,4801,4786,3544,3548,4788,4787,4817,10883,4822,4016,3829,10936,10939,4820,4821,10776,4047,4818,10606,10609,10978,4017,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636])). % 199.49/199.92 cnf(11037,plain, % 199.49/199.92 (E(f32(x110371,x110372,x110373,x110374,x110375,x110376,x110377,x110378,x110379,a25),x110372)), % 199.49/199.92 inference(rename_variables,[],[4719])). % 199.49/199.92 cnf(11049,plain, % 199.49/199.92 (~P108(f330(f330(f239(a102),f330(a3,x110491)),f330(a3,f2(a928))))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,10695,11011,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,4745,10757,3401,3465,3398,3426,3409,4038,3498,4758,10584,3462,10657,4348,4823,3483,3931,3866,3635,10676,10796,10874,10947,10950,10990,4019,3551,4798,10561,10564,10590,10717,10892,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,4298,3949,10720,3567,10685,10783,10933,3568,10712,10768,4794,10601,10633,3720,10862,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,3588,4389,4801,4786,3544,3548,4788,4787,4817,10883,4822,4016,3829,10936,10939,4820,4821,10776,4047,4818,10606,10609,10978,4017,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645])). % 199.49/199.92 cnf(11074,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x110741),x110741))), % 199.49/199.92 inference(rename_variables,[],[3567])). % 199.49/199.92 cnf(11085,plain, % 199.49/199.92 (~P108(f330(f330(f175(x110851),f116(x110851)),x110852))), % 199.49/199.92 inference(rename_variables,[],[4803])). % 199.49/199.92 cnf(11094,plain, % 199.49/199.92 (P108(f330(f330(f239(a928),x110941),f330(a115,x110941)))), % 199.49/199.92 inference(rename_variables,[],[3635])). % 199.49/199.92 cnf(11096,plain, % 199.49/199.92 (P108(f330(f330(f239(a1),f330(f330(f23(a1),x110961),f80(a1))),x110961))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,10695,11011,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,4745,10757,3401,3465,3398,3426,3409,4038,3498,4758,10584,3462,10657,4348,4205,4823,3483,3931,3866,3635,10676,10796,10874,10947,10950,10990,4019,3551,4798,10561,10564,10590,10717,10892,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,4298,3949,10720,3567,10685,10783,10933,10997,11074,3568,10712,10768,11002,4794,10601,10633,3720,10862,4807,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,3588,4389,4801,4786,4789,3544,3548,4788,4787,4817,10883,4822,4016,3829,10936,10939,4820,4821,10776,4047,4818,10606,10609,10978,4017,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907])). % 199.49/199.92 cnf(11097,plain, % 199.49/199.92 (P108(f330(f330(f238(a1),x110971),x110971))), % 199.49/199.92 inference(rename_variables,[],[3568])). % 199.49/199.92 cnf(11102,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),x111021),f2(a928)))), % 199.49/199.92 inference(rename_variables,[],[4798])). % 199.49/199.92 cnf(11115,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),x111151),f2(a928)))), % 199.49/199.92 inference(rename_variables,[],[4798])). % 199.49/199.92 cnf(11118,plain, % 199.49/199.92 (~P108(f330(f330(f239(f935(x111181,a923)),x111182),f191(f935(x111181,a923))))), % 199.49/199.92 inference(rename_variables,[],[4815])). % 199.49/199.92 cnf(11121,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x111211),x111211))), % 199.49/199.92 inference(rename_variables,[],[3567])). % 199.49/199.92 cnf(11124,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x111241),x111241))), % 199.49/199.92 inference(rename_variables,[],[3567])). % 199.49/199.92 cnf(11138,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),x111381),f330(f330(f23(a928),x111381),x111382)))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,10695,11011,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,4745,10757,3401,3465,3398,3426,3409,4038,3498,4758,10584,3462,10657,4348,4205,4823,3483,3931,3866,3635,10676,10796,10874,10947,10950,10990,4019,3551,4798,10561,10564,10590,10717,10892,11102,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,4310,4298,3949,10720,4815,3567,10685,10783,10933,10997,11074,11121,11124,3568,10712,10768,11002,4794,10601,10633,3720,10862,4807,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,3588,4389,4801,4786,4789,3544,3548,4788,4787,4817,10883,4822,4016,3829,10936,10939,4820,4821,10776,4047,4818,10606,10609,10978,4017,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067])). % 199.49/199.92 cnf(11139,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),x111391),x111391))), % 199.49/199.92 inference(rename_variables,[],[4794])). % 199.49/199.92 cnf(11148,plain, % 199.49/199.92 (~P108(f330(f330(f332(x111481),x111482),f191(f935(x111481,a923))))), % 199.49/199.92 inference(rename_variables,[],[4807])). % 199.49/199.92 cnf(11155,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x111551),x111551))), % 199.49/199.92 inference(rename_variables,[],[3567])). % 199.49/199.92 cnf(11158,plain, % 199.49/199.92 (~P108(f330(f330(f332(x111581),x111582),f191(f935(x111581,a923))))), % 199.49/199.92 inference(rename_variables,[],[4807])). % 199.49/199.92 cnf(11161,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x111611,a923)),f330(f313(x111612,x111611,x111613),f330(f314(x111612,x111611,x111613),x111614))),x111614))), % 199.49/199.92 inference(rename_variables,[],[4444])). % 199.49/199.92 cnf(11170,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x111701,a923)),f330(f175(x111701),f330(f139(x111701,x111702),x111703))),f330(f175(x111701),x111703)))), % 199.49/199.92 inference(rename_variables,[],[4214])). % 199.49/199.92 cnf(11173,plain, % 199.49/199.92 (E(f330(f313(x111731,x111731,f5(x111731)),x111732),x111732)), % 199.49/199.92 inference(rename_variables,[],[3624])). % 199.49/199.92 cnf(11178,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),f2(a928)),x111781))), % 199.49/199.92 inference(rename_variables,[],[3588])). % 199.49/199.92 cnf(11181,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x111811),x111811))), % 199.49/199.92 inference(rename_variables,[],[3567])). % 199.49/199.92 cnf(11184,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),x111841),x111841))), % 199.49/199.92 inference(rename_variables,[],[4794])). % 199.49/199.92 cnf(11193,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),x111931),x111931))), % 199.49/199.92 inference(rename_variables,[],[4794])). % 199.49/199.92 cnf(11204,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x112041),f330(f330(f83(a928),x112041),x112041)))), % 199.49/199.92 inference(rename_variables,[],[3829])). % 199.49/199.92 cnf(11210,plain, % 199.49/199.92 (P108(f330(f330(f239(a928),x112101),f330(a115,f330(f330(f82(a928),x112102),x112101))))), % 199.49/199.92 inference(rename_variables,[],[4017])). % 199.49/199.92 cnf(11217,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x112171),x112171))), % 199.49/199.92 inference(rename_variables,[],[3567])). % 199.49/199.92 cnf(11219,plain, % 199.49/199.92 (P108(f330(f330(f239(a1),x112191),f330(f330(f82(a1),x112191),f80(a1))))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,10695,11011,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,4745,10757,3401,3465,3398,3426,3409,4038,3624,3498,4758,10584,3462,10657,4348,4205,4823,3483,3764,3931,3866,3635,10676,10796,10874,10947,10950,10990,11094,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,4310,4214,4298,3949,10720,4815,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,4807,11148,11158,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,3588,11017,4389,4801,4786,4789,3544,3548,4788,4787,4817,10883,4822,4016,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692])). % 199.49/199.92 cnf(11220,plain, % 199.49/199.92 (P108(f330(f330(f238(a1),x112201),x112201))), % 199.49/199.92 inference(rename_variables,[],[3568])). % 199.49/199.92 cnf(11222,plain, % 199.49/199.92 (~E(f330(f74(x112221,x112222,x112223,a115),x112224),x112224)), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,10695,11011,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,4745,10757,3401,3465,3398,3426,3409,4038,3624,3498,4758,10584,3462,10657,4348,4205,4823,3483,3764,3931,3866,3635,10676,10796,10874,10947,10950,10990,11094,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,4310,4214,4298,3949,10720,4815,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,4807,11148,11158,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,3588,11017,4389,4801,4786,4789,3544,3548,4788,4787,4817,10883,4822,4016,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702])). % 199.49/199.92 cnf(11223,plain, % 199.49/199.92 (~E(f330(a115,x112231),x112231)), % 199.49/199.92 inference(rename_variables,[],[4733])). % 199.49/199.92 cnf(11228,plain, % 199.49/199.92 (P108(f330(f330(f332(x112281),x112282),f245(f935(x112281,a923))))), % 199.49/199.92 inference(rename_variables,[],[3720])). % 199.49/199.92 cnf(11233,plain, % 199.49/199.92 (~P108(f330(f330(f239(a928),x112331),f2(a928)))), % 199.49/199.92 inference(rename_variables,[],[4798])). % 199.49/199.92 cnf(11248,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),f2(a928)),x112481))), % 199.49/199.92 inference(rename_variables,[],[3588])). % 199.49/199.92 cnf(11255,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x112551),x112551))), % 199.49/199.92 inference(rename_variables,[],[3567])). % 199.49/199.92 cnf(11264,plain, % 199.49/199.92 (~P108(f330(f330(f332(x112641),x112642),f191(f935(x112641,a923))))), % 199.49/199.92 inference(rename_variables,[],[4807])). % 199.49/199.92 cnf(11272,plain, % 199.49/199.92 (P108(f330(f330(f332(x112721),x112722),f245(f935(x112721,a923))))), % 199.49/199.92 inference(rename_variables,[],[3720])). % 199.49/199.92 cnf(11275,plain, % 199.49/199.92 (~P108(f330(f330(f332(f934(f929(x112751),f929(x112751))),f330(f330(f255(f929(x112751),f929(x112751)),x112752),f116(x112751))),f148(x112751,x112753)))), % 199.49/199.92 inference(rename_variables,[],[4823])). % 199.49/199.92 cnf(11282,plain, % 199.49/199.92 (P108(f330(f330(f290(a928),f330(a115,f2(a928))),x112821))), % 199.49/199.92 inference(rename_variables,[],[3721])). % 199.49/199.92 cnf(11284,plain, % 199.49/199.92 (~P108(f330(f330(f332(f934(x112841,x112841)),x112842),f266(x112841,f191(f935(x112841,a923)))))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,10695,11011,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,4745,10757,3401,3465,3398,3426,3409,4038,3624,3498,4758,10584,3462,10657,4348,4205,4823,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,4310,4214,11170,3932,4298,3949,10720,4815,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,4807,11148,11158,11264,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,4016,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191])). % 199.49/199.92 cnf(11285,plain, % 199.49/199.92 (~P108(f330(f330(f332(x112851),x112852),f191(f935(x112851,a923))))), % 199.49/199.92 inference(rename_variables,[],[4807])). % 199.49/199.92 cnf(11287,plain, % 199.49/199.92 (~P108(f330(f330(f332(x112871),x112872),f330(f314(x112871,x112873,x112874),f191(f935(x112873,a923)))))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,10695,11011,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,4745,10757,3401,3465,3398,3426,3409,4038,3624,3498,4758,10584,3462,10657,4348,4205,4823,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,4310,4214,11170,3932,4298,3949,10720,4815,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,4807,11148,11158,11264,11285,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,4016,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222])). % 199.49/199.92 cnf(11288,plain, % 199.49/199.92 (~P108(f330(f330(f332(x112881),x112882),f191(f935(x112881,a923))))), % 199.49/199.92 inference(rename_variables,[],[4807])). % 199.49/199.92 cnf(11291,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x112911,a923)),x112912),f330(f330(f312(x112911),x112913),x112912)))), % 199.49/199.92 inference(rename_variables,[],[4014])). % 199.49/199.92 cnf(11294,plain, % 199.49/199.92 (P108(f330(f330(f238(a928),x112941),x112941))), % 199.49/199.92 inference(rename_variables,[],[3567])). % 199.49/199.92 cnf(11296,plain, % 199.49/199.92 (P108(f330(f330(f332(x112961),x112962),f330(f330(f312(x112961),x112963),f330(f330(f312(x112961),x112962),x112964))))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,10695,11011,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,4745,10757,3401,3465,3398,3426,3409,4038,3624,3498,4758,10584,3462,10657,4348,4205,4823,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,4310,4214,11170,3932,4298,3949,10720,4815,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,4807,11148,11158,11264,11285,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,4014,11291,4016,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310])). % 199.49/199.92 cnf(11297,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x112971,a923)),x112972),f330(f330(f312(x112971),x112973),x112972)))), % 199.49/199.92 inference(rename_variables,[],[4014])). % 199.49/199.92 cnf(11300,plain, % 199.49/199.92 (E(f330(f313(x113001,x113001,f5(x113001)),x113002),x113002)), % 199.49/199.92 inference(rename_variables,[],[3624])). % 199.49/199.92 cnf(11303,plain, % 199.49/199.92 (E(f32(x113031,x113032,x113033,x113034,x113035,x113036,x113037,x113038,x113039,a25),x113032)), % 199.49/199.92 inference(rename_variables,[],[4719])). % 199.49/199.92 cnf(11306,plain, % 199.49/199.92 (E(f32(x113061,x113062,x113063,x113064,x113065,x113066,x113067,x113068,x113069,a25),x113062)), % 199.49/199.92 inference(rename_variables,[],[4719])). % 199.49/199.92 cnf(11317,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x113171,a923)),x113172),f330(f330(f312(x113171),x113173),x113172)))), % 199.49/199.92 inference(rename_variables,[],[4014])). % 199.49/199.92 cnf(11330,plain, % 199.49/199.92 (~E(f330(a115,x113301),f2(a928))), % 199.49/199.92 inference(rename_variables,[],[4745])). % 199.49/199.92 cnf(11333,plain, % 199.49/199.92 (~P108(f330(f330(f175(x113331),f116(x113331)),x113332))), % 199.49/199.92 inference(rename_variables,[],[4803])). % 199.49/199.92 cnf(11346,plain, % 199.49/199.92 (P108(f330(f330(f239(a928),x113461),f330(a115,x113461)))), % 199.49/199.92 inference(rename_variables,[],[3635])). % 199.49/199.92 cnf(11356,plain, % 199.49/199.92 (~E(f330(f313(x113561,f935(x113561,a923),x113562),x113563),f330(f311(x113561),x113563))), % 199.49/199.92 inference(rename_variables,[],[4805])). % 199.49/199.92 cnf(11359,plain, % 199.49/199.92 (~P108(f330(f330(f332(x113591),x113592),f191(f935(x113591,a923))))), % 199.49/199.92 inference(rename_variables,[],[4807])). % 199.49/199.92 cnf(11362,plain, % 199.49/199.92 (~P108(f330(f330(f332(x113621),x113622),f191(f935(x113621,a923))))), % 199.49/199.92 inference(rename_variables,[],[4807])). % 199.49/199.92 cnf(11365,plain, % 199.49/199.92 (~P108(f330(f330(f332(f934(x113651,x113651)),f330(f330(f255(x113651,x113651),x113652),x113653)),f156(x113651,f116(f935(x113651,a928)))))), % 199.49/199.92 inference(rename_variables,[],[4822])). % 199.49/199.92 cnf(11368,plain, % 199.49/199.92 (~P108(f330(f330(f332(f934(x113681,x113681)),f330(f330(f255(x113681,x113681),x113682),x113683)),f156(x113681,f116(f935(x113681,a928)))))), % 199.49/199.92 inference(rename_variables,[],[4822])). % 199.49/199.92 cnf(11373,plain, % 199.49/199.92 (~P108(f330(f330(f332(x113731),x113732),f191(f935(x113731,a923))))), % 199.49/199.92 inference(rename_variables,[],[4807])). % 199.49/199.92 cnf(11376,plain, % 199.49/199.92 (P108(f330(f330(f332(f934(x113761,x113761)),f330(f330(f255(x113761,x113761),x113762),x113762)),f310(x113761,x113763)))), % 199.49/199.92 inference(rename_variables,[],[4205])). % 199.49/199.92 cnf(11379,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x113791,a923)),f330(f175(x113791),f179(x113791,x113792,x113793))),f330(f175(x113791),x113792)))), % 199.49/199.92 inference(rename_variables,[],[4264])). % 199.49/199.92 cnf(11382,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x113821,a923)),x113822),f245(f935(x113821,a923))))), % 199.49/199.92 inference(rename_variables,[],[3949])). % 199.49/199.92 cnf(11384,plain, % 199.49/199.92 (P108(f330(f62(x113841),f330(f330(f74(x113842,x113843,x113844,f313(a928,x113841,x113845)),f265(a928)),f330(f330(f7(a928,a928,a923),f239(a928)),x113846))))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,4745,10757,10857,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,3462,10657,4348,4205,4823,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,4310,4214,11170,4264,3932,4298,3949,10720,10817,4815,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,4807,11148,11158,11264,11285,11288,11359,11362,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,4171,4014,11291,11297,4016,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789])). % 199.49/199.92 cnf(11398,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x113981,a923)),f191(f935(x113981,a923))),x113982))), % 199.49/199.92 inference(rename_variables,[],[4016])). % 199.49/199.92 cnf(11406,plain, % 199.49/199.92 (~P108(f330(f330(f68(f929(x114061),f929(x114061),f148(x114061,x114062)),x114063),f116(x114061)))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,4745,10757,10857,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,3462,10657,4348,4205,11376,4823,11275,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,4310,4214,11170,4264,3932,4298,3949,10720,10817,4815,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,4807,11148,11158,11264,11285,11288,11359,11362,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,4171,4014,11291,11297,4016,11020,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829])). % 199.49/199.92 cnf(11409,plain, % 199.49/199.92 (~P108(f330(f330(f332(f934(f929(x114091),f929(x114091))),f330(f330(f255(f929(x114091),f929(x114091)),x114092),f116(x114091))),f150(x114091,x114093)))), % 199.49/199.92 inference(rename_variables,[],[4824])). % 199.49/199.92 cnf(11420,plain, % 199.49/199.92 (~E(f330(a115,x114201),x114201)), % 199.49/199.92 inference(rename_variables,[],[4733])). % 199.49/199.92 cnf(11423,plain, % 199.49/199.92 (~E(f330(a115,x114231),x114231)), % 199.49/199.92 inference(rename_variables,[],[4733])). % 199.49/199.92 cnf(11430,plain, % 199.49/199.92 (~E(f330(a115,x114301),f2(a928))), % 199.49/199.92 inference(rename_variables,[],[4745])). % 199.49/199.92 cnf(11432,plain, % 199.49/199.92 (E(f330(x114321,f330(f94(x114322,x114323,f245(f935(x114322,a923)),x114321),f330(x114321,x114324))),f330(x114321,x114324))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,3462,10657,4348,4205,11376,4823,11275,4824,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,4310,4214,11170,4264,3932,4298,3949,10720,10817,4815,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,4807,11148,11158,11264,11285,11288,11359,11362,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,4171,4014,11291,11297,4016,11020,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888])). % 199.49/199.92 cnf(11435,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x114351,a923)),x114352),x114352))), % 199.49/199.92 inference(rename_variables,[],[3863])). % 199.49/199.92 cnf(11439,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x114391,a923)),f330(f330(f41(f934(x114392,x114392),f935(x114391,a923)),f310(x114392,x114393)),x114394)),f330(x114394,f330(f330(f255(x114392,x114392),x114395),x114395))))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,3462,10657,4348,4205,11376,4823,11275,4824,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,4310,4214,11170,4264,3932,4298,3949,10720,10817,4815,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,4807,11148,11158,11264,11285,11288,11359,11362,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,4171,4014,11291,11297,3863,4016,11020,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909])). % 199.49/199.92 cnf(11442,plain, % 199.49/199.92 (~E(f330(a115,x114421),x114421)), % 199.49/199.92 inference(rename_variables,[],[4733])). % 199.49/199.92 cnf(11445,plain, % 199.49/199.92 (~E(f330(a115,x114451),x114451)), % 199.49/199.92 inference(rename_variables,[],[4733])). % 199.49/199.92 cnf(11447,plain, % 199.49/199.92 (~P26(x114471,f935(x114471,a923),x114472,x114473,f330(f311(x114471),x114473))), % 199.49/199.92 inference(scs_inference,[],[4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,11356,3462,10657,4348,4205,11376,4823,11275,4824,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,4310,4214,11170,4264,3932,4298,3949,10720,10817,4815,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,4807,11148,11158,11264,11285,11288,11359,11362,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,4171,4014,11291,11297,3863,4016,11020,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927])). % 199.49/199.92 cnf(11450,plain, % 199.49/199.92 (P25(x114501,x114501,f5(x114501),x114502)), % 199.49/199.92 inference(rename_variables,[],[3804])). % 199.49/199.92 cnf(11455,plain, % 199.49/199.92 (~E(f330(f313(x114551,f935(x114551,a923),x114552),x114553),f330(f311(x114551),x114553))), % 199.49/199.92 inference(rename_variables,[],[4805])). % 199.49/199.92 cnf(11460,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x114601,a923)),x114602),f245(f935(x114601,a923))))), % 199.49/199.92 inference(rename_variables,[],[3949])). % 199.49/199.92 cnf(11476,plain, % 199.49/199.92 (~P108(f330(f330(f332(x114761),x114762),f191(f935(x114761,a923))))), % 199.49/199.92 inference(rename_variables,[],[4807])). % 199.49/199.92 cnf(11478,plain, % 199.49/199.92 (~P108(f330(f330(f238(a928),f330(a115,f330(f145(a928,a928,f82(a928),x114781),x114782))),x114781))), % 199.49/199.92 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,11356,3671,3462,10657,4348,4205,11376,4823,11275,4824,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,4815,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,4807,11148,11158,11264,11285,11288,11359,11362,11373,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,4171,4014,11291,11297,3863,4016,11020,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061])). % 199.49/199.92 cnf(11479,plain, % 199.49/199.92 (~P108(f330(f330(f238(a928),f330(a115,x114791)),x114791))), % 199.49/199.92 inference(rename_variables,[],[4804])). % 199.49/199.92 cnf(11484,plain, % 199.49/199.92 (~P108(f330(f330(f332(x114841),x114842),f191(f935(x114841,a923))))), % 199.49/199.92 inference(rename_variables,[],[4807])). % 199.49/199.92 cnf(11494,plain, % 199.49/199.92 (~P108(f330(f330(f332(a928),f330(a115,f330(f145(a928,a928,f82(a928),f2(a928)),x114941))),f330(f175(a928),x114941)))), % 199.49/199.92 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,11356,3671,3462,10657,4348,4205,11376,4823,11275,4824,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,4815,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,4171,4014,11291,11297,3863,4016,11020,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111])). % 199.49/199.92 cnf(11495,plain, % 199.49/199.92 (~P108(f330(f330(f238(a928),f330(a115,x114951)),x114951))), % 199.49/199.92 inference(rename_variables,[],[4804])). % 199.49/199.92 cnf(11498,plain, % 199.49/199.92 (~P108(f330(f330(f332(x114981),x114982),f191(f935(x114981,a923))))), % 199.49/199.92 inference(rename_variables,[],[4807])). % 199.49/199.92 cnf(11511,plain, % 199.49/199.92 (P108(f330(f330(f332(f934(x115111,x115111)),f330(f330(f255(x115111,x115111),x115112),x115112)),f310(x115111,x115113)))), % 199.49/199.92 inference(rename_variables,[],[4205])). % 199.49/199.92 cnf(11514,plain, % 199.49/199.92 (P108(f330(f330(f332(x115141),x115142),f245(f935(x115141,a923))))), % 199.49/199.92 inference(rename_variables,[],[3720])). % 199.49/199.92 cnf(11517,plain, % 199.49/199.92 (P108(f330(f330(f332(x115171),x115172),f245(f935(x115171,a923))))), % 199.49/199.92 inference(rename_variables,[],[3720])). % 199.49/199.92 cnf(11521,plain, % 199.49/199.92 (P108(f330(f330(f332(f934(f929(x115211),f929(x115211))),f330(f330(f255(f929(x115211),f929(x115211)),f116(x115211)),f116(x115211))),f330(f289(f929(x115211),f929(x115211)),f161(x115211,x115212))))), % 199.49/199.92 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,11356,3671,3462,10657,4348,4205,11376,4823,11275,4824,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,4815,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,4171,4014,11291,11297,3863,4016,11020,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282])). % 199.49/199.92 cnf(11524,plain, % 199.49/199.92 (~P108(f330(f330(f332(f934(f929(x115241),f929(x115241))),f330(f330(f255(f929(x115241),f929(x115241)),x115242),f116(x115241))),f148(x115241,x115243)))), % 199.49/199.92 inference(rename_variables,[],[4823])). % 199.49/199.92 cnf(11527,plain, % 199.49/199.92 (~P108(f330(f330(f332(f934(f929(x115271),f929(x115271))),f330(f330(f255(f929(x115271),f929(x115271)),x115272),f116(x115271))),f150(x115271,x115273)))), % 199.49/199.92 inference(rename_variables,[],[4824])). % 199.49/199.92 cnf(11530,plain, % 199.49/199.92 (~P108(f330(f330(f332(f934(f929(x115301),f929(x115301))),f330(f330(f255(f929(x115301),f929(x115301)),x115302),f116(x115301))),f160(x115301,x115303)))), % 199.49/199.92 inference(rename_variables,[],[4825])). % 199.49/199.92 cnf(11532,plain, % 199.49/199.92 (~P108(f330(f330(f332(f934(f929(x115321),f929(x115321))),f330(f330(f255(f929(x115321),f929(x115321)),f116(x115321)),x115322)),f330(f289(f929(x115321),f929(x115321)),f148(x115321,x115323))))), % 199.49/199.92 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,11356,3671,3462,10657,4348,4205,11376,4823,11275,11524,4824,11409,4825,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,4815,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,4171,4014,11291,11297,3863,4016,11020,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330])). % 199.49/199.92 cnf(11535,plain, % 199.49/199.92 (~P108(f330(f330(f239(f935(x115351,a923)),x115352),f191(f935(x115351,a923))))), % 199.49/199.92 inference(rename_variables,[],[4815])). % 199.49/199.92 cnf(11538,plain, % 199.49/199.92 (~P108(f330(f330(f332(x115381),x115382),f191(f935(x115381,a923))))), % 199.49/199.92 inference(rename_variables,[],[4807])). % 199.49/199.92 cnf(11540,plain, % 199.49/199.92 (~P108(f330(f330(f332(x115401),x115402),f330(f313(x115403,x115401,x115404),f330(f313(x115405,x115403,x115406),f191(f935(x115405,a923))))))), % 199.49/199.92 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,11356,3671,3462,10657,4348,4205,11376,4823,11275,11524,4824,11409,4825,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,4815,11118,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,4171,4014,11291,11297,3863,4016,11020,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356])). % 199.49/199.92 cnf(11544,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x115441,a923)),x115442),f330(f330(f113(f935(x115441,a923)),x115443),f245(f935(x115441,a923)))))), % 199.49/199.92 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,11356,3671,3462,10657,4348,4205,11376,4823,11275,11524,4824,11409,4825,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,4815,11118,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,4171,4014,11291,11297,3863,4016,11020,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385])). % 199.49/199.92 cnf(11545,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x115451,a923)),x115452),f245(f935(x115451,a923))))), % 199.49/199.92 inference(rename_variables,[],[3949])). % 199.49/199.92 cnf(11547,plain, % 199.49/199.92 (~P60(f929(x115471),f161(x115471,x115472))), % 199.49/199.92 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,11356,3671,3462,10657,4348,4205,11376,4823,11275,11524,4824,11409,4825,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,4815,11118,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,4171,4014,11291,11297,3863,4016,11020,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453])). % 199.49/199.92 cnf(11551,plain, % 199.49/199.92 (~P108(f330(f330(f258(x115511,x115512,a923,f330(f175(x115513),f116(x115513))),x115514),x115515))), % 199.49/199.92 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,11356,3671,3462,10657,4348,4205,11376,4823,11275,11524,4824,11409,4825,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,4815,11118,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,4171,4014,11291,11297,3863,4016,11020,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492])). % 199.49/199.92 cnf(11552,plain, % 199.49/199.92 (~P108(f330(f330(f175(x115521),f116(x115521)),x115522))), % 199.49/199.92 inference(rename_variables,[],[4803])). % 199.49/199.92 cnf(11557,plain, % 199.49/199.92 (~P108(f330(f330(f332(x115571),x115572),f191(f935(x115571,a923))))), % 199.49/199.92 inference(rename_variables,[],[4807])). % 199.49/199.92 cnf(11560,plain, % 199.49/199.92 (~P108(f330(f330(f332(f934(x115601,x115601)),f330(f330(f255(x115601,x115601),x115602),x115603)),f156(x115601,f116(f935(x115601,a928)))))), % 199.49/199.92 inference(rename_variables,[],[4822])). % 199.49/199.92 cnf(11562,plain, % 199.49/199.92 (E(f330(f313(x115621,x115622,x115623),f371(x115624,x115623,x115621,f330(f313(x115621,x115622,x115623),x115624),x115622)),f330(f313(x115621,x115622,x115623),x115624))), % 199.49/199.92 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,11356,3671,3462,10657,4348,4205,11376,4823,11275,11524,4824,11409,4825,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,4815,11118,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,11368,4171,4014,11291,11297,3863,11435,4016,11020,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513])). % 199.49/199.92 cnf(11563,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x115631,a923)),x115632),x115632))), % 199.49/199.92 inference(rename_variables,[],[3863])). % 199.49/199.92 cnf(11566,plain, % 199.49/199.92 (~P108(f330(f330(f332(x115661),x115662),f191(f935(x115661,a923))))), % 199.49/199.92 inference(rename_variables,[],[4807])). % 199.49/199.92 cnf(11568,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x115681,a923)),f330(f288(x115682,x115681,f191(f935(f934(x115682,x115681),a923))),x115683)),x115684))), % 199.49/199.92 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,11356,3671,3462,10657,4348,4205,11376,4823,11275,11524,4824,11409,4825,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,4815,11118,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,11368,4171,4014,11291,11297,3863,11435,4016,11020,11398,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557])). % 199.49/199.92 cnf(11569,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x115691,a923)),f191(f935(x115691,a923))),x115692))), % 199.49/199.92 inference(rename_variables,[],[4016])). % 199.49/199.92 cnf(11572,plain, % 199.49/199.92 (P108(f330(f330(f332(f934(x115721,x115721)),f330(f330(f255(x115721,x115721),x115722),x115722)),f310(x115721,x115723)))), % 199.49/199.92 inference(rename_variables,[],[4205])). % 199.49/199.92 cnf(11576,plain, % 199.49/199.92 (~E(f330(f330(f104(f935(f934(f929(x115761),f929(x115761)),a923)),f330(f289(f929(x115761),f929(x115761)),f161(x115761,x115762))),f310(f929(x115761),f161(x115761,x115762))),f191(f935(f934(f929(x115761),f929(x115761)),a923)))), % 199.49/199.92 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,11356,3671,3462,10657,4348,4205,11376,11511,4823,11275,11524,4824,11409,4825,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,4815,11118,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,11368,4171,4014,11291,11297,3863,11435,4016,11020,11398,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587])). % 199.49/199.92 cnf(11582,plain, % 199.49/199.92 (~P108(f330(f330(f332(f934(f929(x115821),f929(x115821))),f330(f330(f255(f929(x115821),f929(x115821)),x115822),f116(x115821))),f330(f289(f929(x115821),f929(x115821)),f160(x115821,x115823))))), % 199.49/199.92 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,11356,3671,3462,10657,4348,4205,11376,11511,4823,11275,11524,4824,11409,4825,11530,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,4815,11118,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,11368,4171,4014,11291,11297,3863,11435,4016,11020,11398,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679])). % 199.49/199.92 cnf(11583,plain, % 199.49/199.92 (~P108(f330(f330(f332(f934(f929(x115831),f929(x115831))),f330(f330(f255(f929(x115831),f929(x115831)),x115832),f116(x115831))),f160(x115831,x115833)))), % 199.49/199.92 inference(rename_variables,[],[4825])). % 199.49/199.92 cnf(11589,plain, % 199.49/199.92 (~P108(f330(f330(f332(f929(x115891)),f116(x115891)),f330(f267(f929(x115891),f929(x115891)),f148(x115891,x115892))))), % 199.49/199.92 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,11356,3671,3462,10657,4348,4205,11376,11511,4823,11275,11524,4824,11409,4825,11530,4826,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,4815,11118,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,11368,4171,4014,11291,11297,3863,11435,4016,11020,11398,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719])). % 199.49/199.92 cnf(11590,plain, % 199.49/199.92 (~P108(f330(f330(f332(f934(f929(x115901),f929(x115901))),f330(f330(f255(f929(x115901),f929(x115901)),f116(x115901)),x115902)),f148(x115901,x115903)))), % 199.49/199.92 inference(rename_variables,[],[4826])). % 199.49/199.92 cnf(11598,plain, % 199.49/199.92 (P108(f330(f330(f332(x115981),x115982),f245(f935(x115981,a923))))), % 199.49/199.92 inference(rename_variables,[],[3720])). % 199.49/199.92 cnf(11603,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x116031,a923)),f191(f935(x116031,a923))),x116032))), % 199.49/199.92 inference(rename_variables,[],[4016])). % 199.49/199.92 cnf(11606,plain, % 199.49/199.92 (~P108(f330(f330(f332(x116061),x116062),f191(f935(x116061,a923))))), % 199.49/199.92 inference(rename_variables,[],[4807])). % 199.49/199.92 cnf(11609,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x116091,a923)),x116092),f245(f935(x116091,a923))))), % 199.49/199.92 inference(rename_variables,[],[3949])). % 199.49/199.92 cnf(11613,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x116131,a923)),f330(f288(x116132,x116131,x116133),f191(f935(x116132,a923)))),x116134))), % 199.49/199.92 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,11356,3671,3462,10657,4348,4205,11376,11511,4823,11275,11524,4824,11409,4825,11530,4826,4827,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,11517,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,11368,4171,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4352,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827])). % 199.49/199.92 cnf(11614,plain, % 199.49/199.92 (P108(f330(f330(f238(f935(x116141,a923)),f191(f935(x116141,a923))),x116142))), % 199.49/199.92 inference(rename_variables,[],[4016])). % 199.49/199.92 cnf(11616,plain, % 199.49/199.92 (~P108(f330(f67(a928,x116161,x116162,x116163,f245(f935(a928,a923))),x116164))), % 199.49/199.92 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,4805,11356,3671,3462,10657,4348,4205,11376,11511,4823,11275,11524,4824,11409,4825,11530,4826,4827,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,11517,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,3628,10984,11014,11023,11026,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,11368,4171,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4352,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848])). % 199.49/199.92 cnf(11627,plain, % 199.49/199.92 (P108(f330(f245(f935(x116271,a923)),x116272))), % 199.49/199.92 inference(rename_variables,[],[3628])). % 199.49/199.92 cnf(11635,plain, % 199.49/199.92 (~P108(f330(f330(f332(f934(f929(x116351),f929(x116351))),f330(f330(f255(f929(x116351),f929(x116351)),x116352),f116(x116351))),f148(x116351,x116353)))), % 199.49/199.92 inference(rename_variables,[],[4823])). % 199.49/199.92 cnf(11638,plain, % 199.49/199.92 (~P108(f330(f330(f332(f934(f929(x116381),f929(x116381))),f330(f330(f255(f929(x116381),f929(x116381)),x116382),f116(x116381))),f150(x116381,x116383)))), % 199.49/199.92 inference(rename_variables,[],[4824])). % 199.49/199.92 cnf(11641,plain, % 199.49/199.92 (~E(f330(f330(f154(x116411),x116412),x116413),x116413)), % 199.49/199.92 inference(rename_variables,[],[4758])). % 199.49/199.92 cnf(11644,plain, % 199.49/199.92 (~E(f330(a115,x116441),x116441)), % 199.49/199.92 inference(rename_variables,[],[4733])). % 199.49/199.92 cnf(11647,plain, % 199.49/199.92 (~P108(f330(f330(f332(x116471),x116472),f191(f935(x116471,a923))))), % 199.49/199.92 inference(rename_variables,[],[4807])). % 199.49/199.93 cnf(11649,plain, % 199.49/199.93 (~P108(f330(f330(f332(x116491),x116492),f330(f288(x116493,x116491,x116494),f330(f288(x116495,x116493,x116496),f191(f935(x116495,a923))))))), % 199.49/199.93 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,10754,4805,11356,3671,3462,10657,4348,4205,11376,11511,4823,11275,11524,4824,11409,11527,4825,11530,4826,11590,4827,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,11517,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,3628,10984,11014,11023,11026,11029,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,11368,4171,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4352,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965])). % 199.49/199.93 cnf(11652,plain, % 199.49/199.93 (~P108(f330(f330(f332(x116521),x116522),f191(f935(x116521,a923))))), % 199.49/199.93 inference(rename_variables,[],[4807])). % 199.49/199.93 cnf(11655,plain, % 199.49/199.93 (~P108(f330(f330(f332(x116551),x116552),f191(f935(x116551,a923))))), % 199.49/199.93 inference(rename_variables,[],[4807])). % 199.49/199.93 cnf(11658,plain, % 199.49/199.93 (P108(f330(f330(f332(f934(f929(x116581),f929(x116581))),f330(f330(f255(f929(x116581),f929(x116581)),x116582),x116582)),f161(x116581,f310(x116581,x116583))))), % 199.49/199.93 inference(rename_variables,[],[4341])). % 199.49/199.93 cnf(11661,plain, % 199.49/199.93 (~P108(f330(f330(f332(f934(f929(x116611),f929(x116611))),f330(f330(f255(f929(x116611),f929(x116611)),x116612),f116(x116611))),f148(x116611,x116613)))), % 199.49/199.93 inference(rename_variables,[],[4823])). % 199.49/199.93 cnf(11665,plain, % 199.49/199.93 (E(f330(f330(f154(x116651),f664(f310(x116651,x116652),f330(f330(f154(x116651),x116653),x116654),x116654,x116653,x116651)),f665(f310(x116651,x116652),f330(f330(f154(x116651),x116653),x116654),x116654,x116653,x116651)),f330(f330(f154(x116651),x116653),x116654))), % 199.49/199.93 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,10754,4805,11356,3671,3462,10657,4348,4205,11376,11511,4823,11275,11524,11635,4824,11409,11527,4825,11530,4826,11590,4827,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4341,11658,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,11517,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,3628,10984,11014,11023,11026,11029,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,11368,4171,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4352,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023])). % 199.49/199.93 cnf(11671,plain, % 199.49/199.93 (~P108(f330(f330(f332(f934(x116711,x116711)),f330(f330(f255(x116711,x116711),x116712),x116713)),f156(x116711,f116(f935(x116711,a928)))))), % 199.49/199.93 inference(rename_variables,[],[4822])). % 199.49/199.93 cnf(11674,plain, % 199.49/199.93 (~P108(f330(f330(f332(x116741),x116742),f191(f935(x116741,a923))))), % 199.49/199.93 inference(rename_variables,[],[4807])). % 199.49/199.93 cnf(11677,plain, % 199.49/199.93 (~P108(f330(f330(f332(x116771),x116772),f191(f935(x116771,a923))))), % 199.49/199.93 inference(rename_variables,[],[4807])). % 199.49/199.93 cnf(11680,plain, % 199.49/199.93 (P108(f330(f330(f332(x116801),x116802),f245(f935(x116801,a923))))), % 199.49/199.93 inference(rename_variables,[],[3720])). % 199.49/199.93 cnf(11683,plain, % 199.49/199.93 (~P108(f330(f330(f239(a928),x116831),f2(a928)))), % 199.49/199.93 inference(rename_variables,[],[4798])). % 199.49/199.93 cnf(11687,plain, % 199.49/199.93 (~P108(f330(f330(f332(f934(f929(x116871),f929(x116871))),f330(f330(f255(f929(x116871),f929(x116871)),x116872),x116873)),f160(x116871,f156(x116871,f116(f935(x116871,a928))))))), % 199.49/199.93 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,10754,4805,11356,3671,3462,10657,4348,4205,11376,11511,4823,11275,11524,11635,4824,11409,11527,4825,11530,4826,11590,4827,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4341,11658,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,11517,11598,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,3628,10984,11014,11023,11026,11029,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,11368,11560,11671,4171,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4352,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158])). % 199.49/199.93 cnf(11688,plain, % 199.49/199.93 (~P108(f330(f330(f332(f934(x116881,x116881)),f330(f330(f255(x116881,x116881),x116882),x116883)),f156(x116881,f116(f935(x116881,a928)))))), % 199.49/199.93 inference(rename_variables,[],[4822])). % 199.49/199.93 cnf(11692,plain, % 199.49/199.93 (~E(f330(f261(x116921,x116922,x116923,x116923,f313(x116924,f935(x116924,a923),x116925),f33(x116923)),x116926),f330(f261(x116921,x116922,x116923,x116923,f311(x116924),f33(x116923)),x116926))), % 199.49/199.93 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,10754,4805,11356,11455,3671,3462,10657,4348,4205,11376,11511,4823,11275,11524,11635,4824,11409,11527,4825,11530,4826,11590,4827,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4341,11658,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,3569,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,11517,11598,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,3628,10984,11014,11023,11026,11029,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,11368,11560,11671,4171,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4352,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201])). % 199.49/199.93 cnf(11693,plain, % 199.49/199.93 (~E(f330(f313(x116931,f935(x116931,a923),x116932),x116933),f330(f311(x116931),x116933))), % 199.49/199.93 inference(rename_variables,[],[4805])). % 199.49/199.93 cnf(11696,plain, % 199.49/199.93 (~E(f330(f313(x116961,f935(x116961,a923),x116962),x116963),f330(f311(x116961),x116963))), % 199.49/199.93 inference(rename_variables,[],[4805])). % 199.49/199.93 cnf(11701,plain, % 199.49/199.93 (~P108(f330(f330(f332(f934(f929(x117011),f929(x117011))),f330(f330(f255(f929(x117011),f929(x117011)),x117012),f116(x117011))),f148(x117011,x117013)))), % 199.49/199.93 inference(rename_variables,[],[4823])). % 199.49/199.93 cnf(11707,plain, % 199.49/199.93 (~P108(f330(f330(f332(f934(f929(x117071),f929(x117071))),f330(f330(f255(f929(x117071),f929(x117071)),x117072),f116(x117071))),f148(x117071,x117073)))), % 199.49/199.93 inference(rename_variables,[],[4823])). % 199.49/199.93 cnf(11710,plain, % 199.49/199.93 (~P108(f330(f330(f332(x117101),x117102),f191(f935(x117101,a923))))), % 199.49/199.93 inference(rename_variables,[],[4807])). % 199.49/199.93 cnf(11714,plain, % 199.49/199.93 (~P108(f330(f330(f332(f934(x117141,x117142)),x117143),f330(f330(f292(x117141,x117144,x117142),f191(f935(f934(x117141,x117144),a923))),x117145)))), % 199.49/199.93 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,10754,4805,11356,11455,11693,3671,3462,10657,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4341,11658,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,3569,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,11517,11598,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,3628,10984,11014,11023,11026,11029,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,11368,11560,11671,4171,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4352,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420])). % 199.49/199.93 cnf(11715,plain, % 199.49/199.93 (~P108(f330(f330(f332(x117151),x117152),f191(f935(x117151,a923))))), % 199.49/199.93 inference(rename_variables,[],[4807])). % 199.49/199.93 cnf(11718,plain, % 199.49/199.93 (~P108(f330(f330(f332(x117181),x117182),f191(f935(x117181,a923))))), % 199.49/199.93 inference(rename_variables,[],[4807])). % 199.49/199.93 cnf(11721,plain, % 199.49/199.93 (~P108(f330(f330(f332(x117211),x117212),f191(f935(x117211,a923))))), % 199.49/199.93 inference(rename_variables,[],[4807])). % 199.49/199.93 cnf(11724,plain, % 199.49/199.93 (~P108(f330(f330(f332(x117241),x117242),f191(f935(x117241,a923))))), % 199.49/199.93 inference(rename_variables,[],[4807])). % 199.49/199.93 cnf(11727,plain, % 199.49/199.93 (P108(f330(f330(f332(x117271),f330(x117272,x117273)),f330(f313(x117274,x117271,x117272),f245(f935(x117274,a923)))))), % 199.49/199.93 inference(rename_variables,[],[4171])). % 199.49/199.93 cnf(11729,plain, % 199.49/199.93 (~P108(f330(f330(f332(f934(x117291,x117292)),x117293),f330(f313(f934(x117294,x117294),f934(x117291,x117292),f261(x117294,x117291,x117294,x117292,x117295,x117296)),f156(x117294,f116(f935(x117294,a928))))))), % 199.49/199.93 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,10754,4805,11356,11455,11693,3671,3462,10657,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4341,11658,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,3569,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,11517,11598,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,3628,10984,11014,11023,11026,11029,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,11368,11560,11671,11688,4171,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4352,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504])). % 199.49/199.93 cnf(11730,plain, % 199.49/199.93 (~P108(f330(f330(f332(f934(x117301,x117301)),f330(f330(f255(x117301,x117301),x117302),x117303)),f156(x117301,f116(f935(x117301,a928)))))), % 199.49/199.93 inference(rename_variables,[],[4822])). % 199.49/199.93 cnf(11732,plain, % 199.49/199.93 (E(x117321,f32(x117322,x117321,x117323,x117324,x117325,x117326,x117327,x117328,x117329,a25))), % 199.49/199.93 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,4745,10757,10857,11330,4026,3401,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,10754,4805,11356,11455,11693,3671,3462,10657,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,4798,10561,10564,10590,10717,10892,11102,11115,11233,4811,4006,3773,4153,3594,3596,3570,4795,4753,4341,11658,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,3568,10712,10768,11002,11097,3569,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,11517,11598,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,3628,10984,11014,11023,11026,11029,3660,4087,4024,10636,4804,10581,10972,10975,11479,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,4822,11365,11368,11560,11671,11688,4171,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4352,4047,4818,10606,10609,10978,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2])). % 199.49/199.93 cnf(11736,plain, % 199.49/199.93 (E(f32(x117361,x117362,x117363,x117364,x117365,x117366,x117367,x117368,x117369,a25),x117362)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11739,plain, % 199.49/199.93 (E(f32(x117391,x117392,x117393,x117394,x117395,x117396,x117397,x117398,x117399,a25),x117392)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11742,plain, % 199.49/199.93 (~E(f330(a115,x117421),x117421)), % 199.49/199.93 inference(rename_variables,[],[4733])). % 199.49/199.93 cnf(11749,plain, % 199.49/199.93 (~E(f330(a115,x117491),x117491)), % 199.49/199.93 inference(rename_variables,[],[4733])). % 199.49/199.93 cnf(11754,plain, % 199.49/199.93 (E(f32(x117541,x117542,x117543,x117544,x117545,x117546,x117547,x117548,x117549,a25),x117542)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11757,plain, % 199.49/199.93 (E(f32(x117571,x117572,x117573,x117574,x117575,x117576,x117577,x117578,x117579,a25),x117572)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11763,plain, % 199.49/199.93 (~E(f330(a115,x117631),x117631)), % 199.49/199.93 inference(rename_variables,[],[4733])). % 199.49/199.93 cnf(11768,plain, % 199.49/199.93 (~E(f330(f330(f82(a1),x117681),x117681),a100)), % 199.49/199.93 inference(rename_variables,[],[4756])). % 199.49/199.93 cnf(11775,plain, % 199.49/199.93 (E(f330(f330(f23(a928),f2(a928)),x117751),f2(a928))), % 199.49/199.93 inference(rename_variables,[],[3484])). % 199.49/199.93 cnf(11778,plain, % 199.49/199.93 (~P108(f330(f330(f239(a928),x117781),f2(a928)))), % 199.49/199.93 inference(rename_variables,[],[4798])). % 199.49/199.93 cnf(11785,plain, % 199.49/199.93 (E(f330(f330(f82(a1),f330(f330(f83(a1),x117851),f330(f330(f37(a1),x117852),x117851))),f46(a1,x117852,x117851)),x117852)), % 199.49/199.93 inference(rename_variables,[],[4120])). % 199.49/199.93 cnf(11795,plain, % 199.49/199.93 (E(f32(x117951,x117952,x117953,x117954,x117955,x117956,x117957,x117958,x117959,a25),x117952)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11802,plain, % 199.49/199.93 (E(f32(x118021,x118022,x118023,x118024,x118025,x118026,x118027,x118028,x118029,a25),x118022)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11805,plain, % 199.49/199.93 (E(f32(x118051,x118052,x118053,x118054,x118055,x118056,x118057,x118058,x118059,a25),x118052)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11808,plain, % 199.49/199.93 (E(f32(x118081,x118082,x118083,x118084,x118085,x118086,x118087,x118088,x118089,a25),x118082)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11811,plain, % 199.49/199.93 (E(f32(x118111,x118112,x118113,x118114,x118115,x118116,x118117,x118118,x118119,a25),x118112)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11814,plain, % 199.49/199.93 (~E(f330(a115,x118141),x118141)), % 199.49/199.93 inference(rename_variables,[],[4733])). % 199.49/199.93 cnf(11817,plain, % 199.49/199.93 (~E(f330(a115,x118171),x118171)), % 199.49/199.93 inference(rename_variables,[],[4733])). % 199.49/199.93 cnf(11821,plain, % 199.49/199.93 (E(f32(x118211,x118212,x118213,x118214,x118215,x118216,x118217,x118218,x118219,a25),x118212)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11844,plain, % 199.49/199.93 (~P108(f330(f330(f175(x118441),f116(x118441)),x118442))), % 199.49/199.93 inference(rename_variables,[],[4803])). % 199.49/199.93 cnf(11850,plain, % 199.49/199.93 (P108(f330(f330(f239(a928),f2(a928)),f330(a115,x118501)))), % 199.49/199.93 inference(rename_variables,[],[3647])). % 199.49/199.93 cnf(11851,plain, % 199.49/199.93 (~E(f330(a115,x118511),x118511)), % 199.49/199.93 inference(rename_variables,[],[4733])). % 199.49/199.93 cnf(11854,plain, % 199.49/199.93 (P108(f330(f330(f332(x118541),x118542),f245(f935(x118541,a923))))), % 199.49/199.93 inference(rename_variables,[],[3720])). % 199.49/199.93 cnf(11862,plain, % 199.49/199.93 (E(f32(x118621,x118622,x118623,x118624,x118625,x118626,x118627,x118628,x118629,a25),x118622)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11867,plain, % 199.49/199.93 (~E(f330(a115,x118671),x118671)), % 199.49/199.93 inference(rename_variables,[],[4733])). % 199.49/199.93 cnf(11870,plain, % 199.49/199.93 (P108(f330(f330(f238(a1),x118701),x118701))), % 199.49/199.93 inference(rename_variables,[],[3568])). % 199.49/199.93 cnf(11877,plain, % 199.49/199.93 (P108(f330(f330(f238(a928),x118771),x118771))), % 199.49/199.93 inference(rename_variables,[],[3567])). % 199.49/199.93 cnf(11878,plain, % 199.49/199.93 (E(f32(x118781,x118782,x118783,x118784,x118785,x118786,x118787,x118788,x118789,a25),x118782)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11891,plain, % 199.49/199.93 (~P108(f330(f330(f239(a928),f330(f330(f82(a928),x118911),x118912)),x118912))), % 199.49/199.93 inference(rename_variables,[],[4818])). % 199.49/199.93 cnf(11894,plain, % 199.49/199.93 (~P108(f330(f330(f239(a1),f330(f103(a1),x118941)),f2(a1)))), % 199.49/199.93 inference(rename_variables,[],[4811])). % 199.49/199.93 cnf(11905,plain, % 199.49/199.93 (E(f32(x119051,x119052,x119053,x119054,x119055,x119056,x119057,x119058,x119059,a25),x119052)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11908,plain, % 199.49/199.93 (E(f32(x119081,x119082,x119083,x119084,x119085,x119086,x119087,x119088,x119089,a25),x119082)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11914,plain, % 199.49/199.93 (~E(f330(f330(f104(a928),f330(a115,x119141)),x119141),f330(a115,x119141))), % 199.49/199.93 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,4745,10757,10857,11330,3174,3176,3184,3185,3201,3213,3222,3223,3239,3242,3247,3253,3289,3298,3309,3325,3328,3351,3360,4731,4026,3401,4120,11785,3465,3398,3426,3409,4038,3624,11173,3498,4203,4758,10584,10754,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4756,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,4019,3551,3647,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,4811,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,3568,10712,10768,11002,11097,11220,3569,4794,10601,10633,11139,11184,3720,10862,10953,11228,11272,11514,11517,11598,11680,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,3628,10984,11014,11023,11026,11029,3660,4087,4024,10636,4804,10581,10972,10975,11479,11495,3588,11017,11178,4389,4801,4095,4786,4789,3544,3548,4788,4787,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,4821,10776,4444,4352,4047,4818,10606,10609,10978,10981,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628])). % 199.49/199.93 cnf(11919,plain, % 199.49/199.93 (E(f32(x119191,x119192,x119193,x119194,x119195,x119196,x119197,x119198,x119199,a25),x119192)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11924,plain, % 199.49/199.93 (E(f32(x119241,x119242,x119243,x119244,x119245,x119246,x119247,x119248,x119249,a25),x119242)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11927,plain, % 199.49/199.93 (~P108(f330(f330(f239(a1),f330(f103(a1),x119271)),f2(a1)))), % 199.49/199.93 inference(rename_variables,[],[4811])). % 199.49/199.93 cnf(11930,plain, % 199.49/199.93 (E(f32(x119301,x119302,x119303,x119304,x119305,x119306,x119307,x119308,x119309,a25),x119302)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(11933,plain, % 199.49/199.93 (~E(f330(a115,x119331),x119331)), % 199.49/199.93 inference(rename_variables,[],[4733])). % 199.49/199.93 cnf(11936,plain, % 199.49/199.93 (P108(f330(f330(f238(a1),x119361),x119361))), % 199.49/199.93 inference(rename_variables,[],[3568])). % 199.49/199.93 cnf(11943,plain, % 199.49/199.93 (~P108(f330(f330(f175(x119431),f116(x119431)),x119432))), % 199.49/199.93 inference(rename_variables,[],[4803])). % 199.49/199.93 cnf(11964,plain, % 199.49/199.93 (~P108(f330(f330(f239(a1),f330(f103(a1),x119641)),f2(a1)))), % 199.49/199.93 inference(rename_variables,[],[4811])). % 199.49/199.93 cnf(11967,plain, % 199.49/199.93 (~P108(f330(f330(f239(a928),x119671),f2(a928)))), % 199.49/199.93 inference(rename_variables,[],[4798])). % 199.49/199.93 cnf(11968,plain, % 199.49/199.93 (P108(f330(f330(f239(a928),x119681),f330(a115,x119681)))), % 199.49/199.93 inference(rename_variables,[],[3635])). % 199.49/199.93 cnf(11971,plain, % 199.49/199.93 (~P108(f330(f330(f239(a1),f330(f103(a1),x119711)),f2(a1)))), % 199.49/199.93 inference(rename_variables,[],[4811])). % 199.49/199.93 cnf(11974,plain, % 199.49/199.93 (~P108(f330(f330(f332(x119741),x119742),f191(f935(x119741,a923))))), % 199.49/199.93 inference(rename_variables,[],[4807])). % 199.49/199.93 cnf(11975,plain, % 199.49/199.93 (P108(f330(f330(f332(f935(x119751,a923)),x119752),f330(f311(x119751),x119752)))), % 199.49/199.93 inference(rename_variables,[],[3932])). % 199.49/199.93 cnf(11990,plain, % 199.49/199.93 (~P108(f330(f330(f238(a928),f330(a115,x119901)),x119901))), % 199.49/199.93 inference(rename_variables,[],[4804])). % 199.49/199.93 cnf(11991,plain, % 199.49/199.93 (~E(f330(a115,x119911),x119911)), % 199.49/199.93 inference(rename_variables,[],[4733])). % 199.49/199.93 cnf(11994,plain, % 199.49/199.93 (E(f32(x119941,x119942,x119943,x119944,x119945,x119946,x119947,x119948,x119949,a25),x119942)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(12004,plain, % 199.49/199.93 (~P108(f330(f330(f239(a928),f330(f330(f82(a928),x120041),x120042)),x120041))), % 199.49/199.93 inference(rename_variables,[],[4819])). % 199.49/199.93 cnf(12007,plain, % 199.49/199.93 (~P108(f330(f330(f239(a1),f330(f103(a1),x120071)),f2(a1)))), % 199.49/199.93 inference(rename_variables,[],[4811])). % 199.49/199.93 cnf(12010,plain, % 199.49/199.93 (~E(f330(a115,x120101),x120101)), % 199.49/199.93 inference(rename_variables,[],[4733])). % 199.49/199.93 cnf(12023,plain, % 199.49/199.93 (P108(f330(f330(f332(x120231),x120232),f330(f330(f312(x120231),x120232),x120233)))), % 199.49/199.93 inference(rename_variables,[],[3879])). % 199.49/199.93 cnf(12024,plain, % 199.49/199.93 (~P108(f330(f330(f238(a1),f2(a1)),f330(f81(a1),f330(f103(a1),f330(a115,x120241)))))), % 199.49/199.93 inference(rename_variables,[],[4820])). % 199.49/199.93 cnf(12027,plain, % 199.49/199.93 (P108(f330(f330(f239(a928),f330(f330(f23(a928),x120271),x120272)),f330(a115,x120271)))), % 199.49/199.93 inference(rename_variables,[],[4019])). % 199.49/199.93 cnf(12030,plain, % 199.49/199.93 (P108(f330(f330(f238(a928),f46(a928,x120301,x120302)),x120301))), % 199.49/199.93 inference(rename_variables,[],[4024])). % 199.49/199.93 cnf(12036,plain, % 199.49/199.93 (E(f32(x120361,x120362,x120363,x120364,x120365,x120366,x120367,x120368,x120369,a25),x120362)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(12039,plain, % 199.49/199.93 (E(f32(x120391,x120392,x120393,x120394,x120395,x120396,x120397,x120398,x120399,a25),x120392)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(12042,plain, % 199.49/199.93 (E(f32(x120421,x120422,x120423,x120424,x120425,x120426,x120427,x120428,x120429,a25),x120422)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(12045,plain, % 199.49/199.93 (E(f32(x120451,x120452,x120453,x120454,x120455,x120456,x120457,x120458,x120459,a25),x120452)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(12048,plain, % 199.49/199.93 (~P108(f330(f330(f238(a928),f330(a115,x120481)),x120481))), % 199.49/199.93 inference(rename_variables,[],[4804])). % 199.49/199.93 cnf(12049,plain, % 199.49/199.93 (E(f32(x120491,x120492,x120493,x120494,x120495,x120496,x120497,x120498,x120499,a25),x120492)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(12058,plain, % 199.49/199.93 (~P108(f330(f330(f239(a928),x120581),x120581))), % 199.49/199.93 inference(rename_variables,[],[4794])). % 199.49/199.93 cnf(12059,plain, % 199.49/199.93 (E(f32(x120591,x120592,x120593,x120594,x120595,x120596,x120597,x120598,x120599,a25),x120592)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(12062,plain, % 199.49/199.93 (P108(f330(f330(f238(a928),f46(a928,x120621,x120622)),x120621))), % 199.49/199.93 inference(rename_variables,[],[4024])). % 199.49/199.93 cnf(12063,plain, % 199.49/199.93 (P108(f330(f330(f238(a928),f2(a928)),x120631))), % 199.49/199.93 inference(rename_variables,[],[3588])). % 199.49/199.93 cnf(12080,plain, % 199.49/199.93 (~P108(f330(f330(f239(a928),x120801),x120801))), % 199.49/199.93 inference(rename_variables,[],[4794])). % 199.49/199.93 cnf(12083,plain, % 199.49/199.93 (P108(f330(f330(f332(x120831),f330(x120832,x120833)),f330(f313(x120834,x120831,x120832),f245(f935(x120834,a923)))))), % 199.49/199.93 inference(rename_variables,[],[4171])). % 199.49/199.93 cnf(12084,plain, % 199.49/199.93 (~P108(f330(f330(f238(a928),f330(a115,x120841)),x120841))), % 199.49/199.93 inference(rename_variables,[],[4804])). % 199.49/199.93 cnf(12087,plain, % 199.49/199.93 (P108(f330(f330(f332(x120871),f330(x120872,x120873)),f330(f313(x120874,x120871,x120872),f245(f935(x120874,a923)))))), % 199.49/199.93 inference(rename_variables,[],[4171])). % 199.49/199.93 cnf(12088,plain, % 199.49/199.93 (~P108(f330(f330(f239(a928),f330(f330(f82(a928),x120881),x120882)),x120882))), % 199.49/199.93 inference(rename_variables,[],[4818])). % 199.49/199.93 cnf(12093,plain, % 199.49/199.93 (~P108(f330(f330(f239(a928),f330(f330(f82(a928),x120931),x120932)),x120931))), % 199.49/199.93 inference(rename_variables,[],[4819])). % 199.49/199.93 cnf(12096,plain, % 199.49/199.93 (~P108(f330(f330(f175(x120961),f116(x120961)),x120962))), % 199.49/199.93 inference(rename_variables,[],[4803])). % 199.49/199.93 cnf(12099,plain, % 199.49/199.93 (P108(f330(f330(f238(a928),x120991),x120991))), % 199.49/199.93 inference(rename_variables,[],[3567])). % 199.49/199.93 cnf(12101,plain, % 199.49/199.93 (E(f330(f330(f83(a928),x121011),f330(f330(f37(a928),x121011),x121011)),x121011)), % 199.49/199.93 inference(scs_inference,[],[3804,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,4745,10757,10857,11330,3173,3174,3176,3177,3184,3185,3201,3213,3222,3223,3239,3242,3247,3253,3289,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,4026,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3624,11173,3498,4203,4758,10584,10754,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4620,4621,4756,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,4019,12027,3551,3647,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,4811,11894,11927,11964,11971,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,3568,10712,10768,11002,11097,11220,11870,3569,4794,10601,10633,11139,11184,11193,12058,3720,10862,10953,11228,11272,11514,11517,11598,11680,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,4804,10581,10972,10975,11479,11495,11990,12048,3588,11017,11178,11248,4389,4801,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,4444,4352,4047,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196])). % 199.49/199.93 cnf(12107,plain, % 199.49/199.93 (~P37(x121071,x121072,f116(x121071))), % 199.49/199.93 inference(rename_variables,[],[4769])). % 199.49/199.93 cnf(12110,plain, % 199.49/199.93 (P108(f330(f330(f332(x121101),x121102),f245(f935(x121101,a923))))), % 199.49/199.93 inference(rename_variables,[],[3720])). % 199.49/199.93 cnf(12111,plain, % 199.49/199.93 (~P108(f330(f330(f238(a928),f330(a115,x121111)),x121111))), % 199.49/199.93 inference(rename_variables,[],[4804])). % 199.49/199.93 cnf(12124,plain, % 199.49/199.93 (~P108(f330(f330(f332(x121241),x121242),f191(f935(x121241,a923))))), % 199.49/199.93 inference(rename_variables,[],[4807])). % 199.49/199.93 cnf(12127,plain, % 199.49/199.93 (E(f330(f330(f16(x121271,x121272),x121273),x121274),x121273)), % 199.49/199.93 inference(rename_variables,[],[3558])). % 199.49/199.93 cnf(12130,plain, % 199.49/199.93 (E(f330(f330(f16(x121301,x121302),x121303),x121304),x121303)), % 199.49/199.93 inference(rename_variables,[],[3558])). % 199.49/199.93 cnf(12142,plain, % 199.49/199.93 (P108(f330(f330(f239(a928),f2(a928)),f330(a115,x121421)))), % 199.49/199.93 inference(rename_variables,[],[3647])). % 199.49/199.93 cnf(12145,plain, % 199.49/199.93 (P108(f330(f330(f238(a928),x121451),x121451))), % 199.49/199.93 inference(rename_variables,[],[3567])). % 199.49/199.93 cnf(12146,plain, % 199.49/199.93 (E(f32(x121461,x121462,x121463,x121464,x121465,x121466,x121467,x121468,x121469,a25),x121462)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(12149,plain, % 199.49/199.93 (P108(f330(f62(x121491),f330(f175(x121491),x121492)))), % 199.49/199.93 inference(rename_variables,[],[3607])). % 199.49/199.93 cnf(12152,plain, % 199.49/199.93 (P108(f330(f62(x121521),f330(f175(x121521),x121522)))), % 199.49/199.93 inference(rename_variables,[],[3607])). % 199.49/199.93 cnf(12155,plain, % 199.49/199.93 (P108(f330(f330(f238(a1),f330(f81(a1),f330(f103(a1),x121551))),f330(f103(a1),x121552)))), % 199.49/199.93 inference(rename_variables,[],[4048])). % 199.49/199.93 cnf(12158,plain, % 199.49/199.93 (~P108(f330(f330(f332(x121581),x121582),f191(f935(x121581,a923))))), % 199.49/199.93 inference(rename_variables,[],[4807])). % 199.49/199.93 cnf(12172,plain, % 199.49/199.93 (~P108(f330(f330(f332(a928),f2(a928)),f330(f307(a928),x121721)))), % 199.49/199.93 inference(scs_inference,[],[3804,4768,4769,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,4745,10757,10857,11330,3173,3174,3176,3177,3180,3184,3185,3201,3213,3222,3223,3239,3242,3247,3253,3289,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,4026,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3624,11173,3498,4203,4758,10584,10754,3558,12127,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4620,4621,4756,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,4019,12027,3551,3647,11850,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,4811,11894,11927,11964,11971,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,3568,10712,10768,11002,11097,11220,11870,3569,3643,4794,10601,10633,11139,11184,11193,12058,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,3588,11017,11178,11248,4048,4389,4801,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,4444,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421])). % 199.49/199.93 cnf(12176,plain, % 199.49/199.93 (P108(f330(f330(f238(a1),f46(a928,x121761,f32(x121762,f2(a928),x121763,x121764,x121765,x121766,x121767,x121768,x121769,a25))),x121761))), % 199.49/199.93 inference(scs_inference,[],[3804,4768,4769,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,4745,10757,10857,11330,3173,3174,3176,3177,3180,3184,3185,3201,3213,3222,3223,3239,3242,3247,3253,3289,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,4026,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3624,11173,3498,4203,4758,10584,10754,3558,12127,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4620,4621,4756,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,4019,12027,3551,3647,11850,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,4811,11894,11927,11964,11971,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,3568,10712,10768,11002,11097,11220,11870,11936,3569,3643,4794,10601,10633,11139,11184,11193,12058,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,3588,11017,11178,11248,4048,4389,4801,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,4444,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452])). % 199.49/199.93 cnf(12177,plain, % 199.49/199.93 (P108(f330(f330(f238(a1),x121771),x121771))), % 199.49/199.93 inference(rename_variables,[],[3568])). % 199.49/199.93 cnf(12178,plain, % 199.49/199.93 (E(f32(x121781,x121782,x121783,x121784,x121785,x121786,x121787,x121788,x121789,a25),x121782)), % 199.49/199.93 inference(rename_variables,[],[4719])). % 199.49/199.93 cnf(12181,plain, % 199.49/199.93 (P108(f330(f330(f239(a928),x121811),f330(a115,x121811)))), % 199.49/199.93 inference(rename_variables,[],[3635])). % 199.49/199.93 cnf(12184,plain, % 199.49/199.93 (P108(f330(f330(f238(a1),x121841),x121841))), % 199.49/199.93 inference(rename_variables,[],[3568])). % 199.49/199.93 cnf(12195,plain, % 199.49/199.93 (P108(f330(f330(f238(a1),x121951),x121951))), % 199.49/199.93 inference(rename_variables,[],[3568])). % 199.49/199.93 cnf(12198,plain, % 199.49/199.93 (~P108(f330(f330(f239(a928),x121981),f2(a928)))), % 199.49/199.93 inference(rename_variables,[],[4798])). % 199.49/199.93 cnf(12203,plain, % 199.49/199.93 (~P108(f330(f330(f239(a928),x122031),f2(a928)))), % 199.49/199.93 inference(rename_variables,[],[4798])). % 199.49/199.93 cnf(12212,plain, % 199.49/199.93 (P108(f330(f330(f238(a928),f2(a928)),x122121))), % 199.49/199.93 inference(rename_variables,[],[3588])). % 199.49/199.93 cnf(12213,plain, % 199.49/199.93 (~P108(f330(f330(f238(a928),f330(a115,x122131)),x122131))), % 199.49/199.93 inference(rename_variables,[],[4804])). % 199.49/199.93 cnf(12215,plain, % 199.49/199.93 (E(f330(f330(f82(a928),f2(a928)),f881(f2(a928),x122151,f330(f175(x122152),f116(x122152)))),x122151)), % 199.49/199.93 inference(scs_inference,[],[3804,4768,4769,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,4745,10757,10857,11330,3173,3174,3176,3177,3180,3184,3185,3201,3207,3213,3222,3223,3239,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,4026,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3624,11173,3498,4203,4758,10584,10754,3558,12127,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4620,4621,4756,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,4019,12027,3551,3647,11850,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,4811,11894,11927,11964,11971,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,3569,3643,4794,10601,10633,11139,11184,11193,12058,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,3588,11017,11178,11248,12063,4048,4389,4801,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,4444,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649])). % 199.49/199.93 cnf(12216,plain, % 199.49/199.93 (~P108(f330(f330(f175(x122161),f116(x122161)),x122162))), % 199.49/199.93 inference(rename_variables,[],[4803])). % 199.49/199.93 cnf(12218,plain, % 199.49/199.93 (E(f330(f330(f82(a928),f2(a928)),f882(f2(a928),x122181,f330(f175(x122182),f116(x122182)))),x122181)), % 199.49/199.93 inference(scs_inference,[],[3804,4768,4769,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,4745,10757,10857,11330,3173,3174,3176,3177,3180,3184,3185,3201,3207,3213,3222,3223,3239,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,4026,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3624,11173,3498,4203,4758,10584,10754,3558,12127,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4620,4621,4756,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,4019,12027,3551,3647,11850,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,4811,11894,11927,11964,11971,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,3569,3643,4794,10601,10633,11139,11184,11193,12058,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,3588,11017,11178,11248,12063,4048,4389,4801,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,4444,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650])). % 199.49/199.93 cnf(12219,plain, % 199.49/199.93 (~P108(f330(f330(f175(x122191),f116(x122191)),x122192))), % 199.49/199.93 inference(rename_variables,[],[4803])). % 199.49/199.93 cnf(12222,plain, % 199.49/199.93 (~P108(f330(f330(f239(a928),x122221),f2(a928)))), % 199.49/199.93 inference(rename_variables,[],[4798])). % 199.49/199.93 cnf(12223,plain, % 199.49/199.93 (P108(f330(f330(f239(a928),x122231),f330(a115,x122231)))), % 199.49/199.93 inference(rename_variables,[],[3635])). % 199.49/199.93 cnf(12235,plain, % 199.49/199.93 (~P108(f330(f330(f239(a1),f330(f103(a1),f330(a115,x122351))),f330(f81(a1),f2(a1))))), % 199.49/199.93 inference(scs_inference,[],[3804,4768,4769,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,4745,10757,10857,11330,3173,3174,3176,3177,3180,3184,3185,3191,3201,3207,3213,3222,3223,3239,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,4026,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3624,11173,3498,4203,4758,10584,10754,3558,12127,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4620,4621,4756,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,4019,12027,3551,3647,11850,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,3569,3643,4794,10601,10633,11139,11184,11193,12058,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,3588,11017,11178,11248,12063,4048,4389,4801,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,4444,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711])). % 199.49/199.93 cnf(12239,plain, % 199.49/199.93 (P108(f330(f330(f239(a1),f330(f81(a1),f80(a1))),f2(a1)))), % 199.49/199.93 inference(scs_inference,[],[3804,4768,4769,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,4745,10757,10857,11330,3173,3174,3176,3177,3180,3184,3185,3191,3201,3207,3213,3222,3223,3239,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,4026,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3624,11173,3498,4203,4758,10584,10754,3558,12127,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4620,4621,4756,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,4019,12027,3551,3647,11850,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,4310,4214,11170,4264,3932,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,3569,3643,4794,10601,10633,11139,11184,11193,12058,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,3588,11017,11178,11248,12063,4048,4389,4801,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,4444,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727])). % 199.49/199.93 cnf(12242,plain, % 199.49/199.93 (~P108(f330(f330(f238(a928),f330(a115,x122421)),x122421))), % 199.49/199.93 inference(rename_variables,[],[4804])). % 199.49/199.93 cnf(12245,plain, % 199.49/199.93 (~P108(f330(f330(f238(a928),f330(a115,x122451)),x122451))), % 199.49/199.93 inference(rename_variables,[],[4804])). % 199.49/199.93 cnf(12248,plain, % 199.49/199.93 (~P108(f330(f330(f238(a928),f330(a115,x122481)),x122481))), % 199.49/199.93 inference(rename_variables,[],[4804])). % 199.49/199.93 cnf(12251,plain, % 199.49/199.93 (~P108(f330(f330(f238(a928),f330(a115,x122511)),x122511))), % 199.49/199.93 inference(rename_variables,[],[4804])). % 199.49/199.93 cnf(12254,plain, % 199.49/199.93 (~P108(f330(f330(f239(a928),x122541),x122541))), % 199.49/199.93 inference(rename_variables,[],[4794])). % 199.49/199.93 cnf(12257,plain, % 199.49/199.93 (~P108(f330(f330(f239(a928),x122571),x122571))), % 199.49/199.93 inference(rename_variables,[],[4794])). % 199.49/199.93 cnf(12260,plain, % 199.49/199.93 (~P108(f330(f330(f239(a928),x122601),x122601))), % 199.49/199.93 inference(rename_variables,[],[4794])). % 199.49/199.93 cnf(12263,plain, % 199.49/199.93 (~P108(f330(f330(f239(a928),x122631),x122631))), % 199.49/199.93 inference(rename_variables,[],[4794])). % 199.49/199.93 cnf(12280,plain, % 199.49/199.93 (P108(f330(f330(f238(a928),x122801),x122801))), % 199.49/199.93 inference(rename_variables,[],[3567])). % 199.49/199.93 cnf(12283,plain, % 199.49/199.93 (P25(a928,a928,a115,x122831)), % 199.49/199.93 inference(rename_variables,[],[3772])). % 199.49/199.93 cnf(12286,plain, % 199.49/199.93 (P108(f330(f330(f238(a1),x122861),x122861))), % 199.49/199.93 inference(rename_variables,[],[3568])). % 199.49/199.93 cnf(12297,plain, % 199.49/199.93 (P108(f330(f330(f238(a1),x122971),x122971))), % 199.49/199.93 inference(rename_variables,[],[3568])). % 199.49/199.93 cnf(12300,plain, % 199.49/199.93 (P108(f330(f330(f238(f935(f934(f929(x123001),f929(x123001)),a923)),f161(x123001,x123002)),f310(f929(x123001),f160(x123001,x123002))))), % 199.49/199.93 inference(rename_variables,[],[4269])). % 199.49/199.93 cnf(12307,plain, % 199.49/199.93 (P108(f330(f330(f239(a928),x123071),f330(a115,x123071)))), % 199.49/199.93 inference(rename_variables,[],[3635])). % 199.49/199.93 cnf(12310,plain, % 199.49/199.93 (P108(f330(f330(f332(f935(x123101,a923)),x123102),f330(f311(x123101),x123102)))), % 199.49/199.93 inference(rename_variables,[],[3932])). % 199.49/199.93 cnf(12311,plain, % 199.49/199.93 (~E(f330(a115,x123111),x123111)), % 199.58/199.93 inference(rename_variables,[],[4733])). % 199.58/199.93 cnf(12316,plain, % 199.58/199.93 (P108(f330(f330(f238(a1),x123161),x123161))), % 199.58/199.93 inference(rename_variables,[],[3568])). % 199.58/199.93 cnf(12320,plain, % 199.58/199.93 (P108(f330(f330(f239(a928),f330(a107,f2(a1))),f330(a107,f80(a1))))), % 199.58/199.93 inference(scs_inference,[],[3804,4768,4769,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,3772,4745,10757,10857,11330,3173,3174,3176,3177,3180,3184,3185,3191,3201,3207,3213,3222,3223,3239,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,4026,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3624,11173,3498,4203,4758,10584,10754,3558,12127,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4620,4621,4756,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,4019,12027,3551,3647,11850,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,4310,4269,4214,11170,4264,3932,11975,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,3569,3643,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,3588,11017,11178,11248,12063,4048,4389,4801,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,4444,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,49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% 199.58/199.93 cnf(12321,plain, % 199.58/199.93 (P108(f330(f330(f238(a1),x123211),x123211))), % 199.58/199.93 inference(rename_variables,[],[3568])). % 199.58/199.93 cnf(12332,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x123321,a923)),x123322),f330(f330(f312(x123321),x123323),x123322)))), % 199.58/199.93 inference(rename_variables,[],[4014])). % 199.58/199.93 cnf(12335,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),x123351),x123351))), % 199.58/199.93 inference(rename_variables,[],[3567])). % 199.58/199.93 cnf(12336,plain, % 199.58/199.93 (~E(f330(a115,x123361),x123361)), % 199.58/199.93 inference(rename_variables,[],[4733])). % 199.58/199.93 cnf(12349,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x123491),x123491))), % 199.58/199.93 inference(rename_variables,[],[4794])). % 199.58/199.93 cnf(12350,plain, % 199.58/199.93 (~E(f330(a115,x123501),x123501)), % 199.58/199.93 inference(rename_variables,[],[4733])). % 199.58/199.93 cnf(12352,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),f330(f330(f236(a928),x123521),x123522)),x123522))), % 199.58/199.93 inference(scs_inference,[],[3804,4768,4769,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,3772,4745,10757,10857,11330,3173,3174,3176,3177,3180,3184,3185,3191,3201,3207,3213,3222,3223,3239,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,4026,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3624,11173,3498,4203,4758,10584,10754,3558,12127,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4620,4621,4756,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,4019,12027,3551,3647,11850,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,4310,4269,4214,11170,4264,3932,11975,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,3569,3643,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,3588,11017,11178,11248,12063,4048,4389,4801,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,11317,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,4444,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057])). % 199.58/199.93 cnf(12353,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),x123531),x123531))), % 199.58/199.93 inference(rename_variables,[],[3567])). % 199.58/199.93 cnf(12356,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),x123561),x123561))), % 199.58/199.93 inference(rename_variables,[],[3567])). % 199.58/199.93 cnf(12358,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),f330(f330(f104(a928),x123581),x123582)),x123582))), % 199.58/199.93 inference(scs_inference,[],[3804,4768,4769,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,3772,4745,10757,10857,11330,3173,3174,3176,3177,3180,3184,3185,3191,3201,3207,3213,3222,3223,3239,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,4026,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3624,11173,3498,4203,4758,10584,10754,3558,12127,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4620,4621,4756,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,4019,12027,3551,3647,11850,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,4310,4269,4214,11170,4264,3932,11975,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,3569,3643,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,3588,11017,11178,11248,12063,4048,4389,4801,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,11317,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,4444,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061])). % 199.58/199.93 cnf(12359,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),x123591),x123591))), % 199.58/199.93 inference(rename_variables,[],[3567])). % 199.58/199.93 cnf(12362,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),x123621),x123621))), % 199.58/199.93 inference(rename_variables,[],[3567])). % 199.58/199.93 cnf(12365,plain, % 199.58/199.93 (P108(f330(f330(f238(a1),x123651),x123651))), % 199.58/199.93 inference(rename_variables,[],[3568])). % 199.58/199.93 cnf(12368,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x123681),x123681))), % 199.58/199.93 inference(rename_variables,[],[4794])). % 199.58/199.93 cnf(12371,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x123711),x123711))), % 199.58/199.93 inference(rename_variables,[],[4794])). % 199.58/199.93 cnf(12372,plain, % 199.58/199.93 (P108(f330(f330(f239(a928),x123721),f330(a115,x123721)))), % 199.58/199.93 inference(rename_variables,[],[3635])). % 199.58/199.93 cnf(12379,plain, % 199.58/199.93 (~E(f330(a115,x123791),x123791)), % 199.58/199.93 inference(rename_variables,[],[4733])). % 199.58/199.93 cnf(12384,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x123841),x123841))), % 199.58/199.93 inference(rename_variables,[],[4794])). % 199.58/199.93 cnf(12385,plain, % 199.58/199.93 (~E(f330(a115,x123851),x123851)), % 199.58/199.93 inference(rename_variables,[],[4733])). % 199.58/199.93 cnf(12388,plain, % 199.58/199.93 (P108(f330(f330(f238(a1),x123881),x123881))), % 199.58/199.93 inference(rename_variables,[],[3568])). % 199.58/199.93 cnf(12390,plain, % 199.58/199.93 (~P108(f330(f330(f238(a928),f330(a107,f80(a1))),f330(a107,f2(a1))))), % 199.58/199.93 inference(scs_inference,[],[3804,4768,4769,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,3772,4745,10757,10857,11330,3173,3174,3176,3177,3180,3184,3185,3191,3201,3207,3213,3222,3223,3239,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,3514,4026,4334,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3624,11173,3498,4203,4758,10584,10754,3558,12127,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4620,4621,4756,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,4019,12027,3551,3647,11850,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,4310,4269,4214,11170,4264,3932,11975,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,3569,3643,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,3588,11017,11178,11248,12063,4048,4389,4801,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,11317,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,4444,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135])). % 199.58/199.93 cnf(12405,plain, % 199.58/199.93 (P108(f330(f330(f238(a1),x124051),x124051))), % 199.58/199.93 inference(rename_variables,[],[3568])). % 199.58/199.93 cnf(12410,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),f2(a928)),x124101))), % 199.58/199.93 inference(rename_variables,[],[3588])). % 199.58/199.93 cnf(12426,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x124261),f2(a928)))), % 199.58/199.93 inference(rename_variables,[],[4798])). % 199.58/199.93 cnf(12429,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x124291),f2(a928)))), % 199.58/199.93 inference(rename_variables,[],[4798])). % 199.58/199.93 cnf(12432,plain, % 199.58/199.93 (~P108(f330(f330(f332(x124321),x124322),f191(f935(x124321,a923))))), % 199.58/199.93 inference(rename_variables,[],[4807])). % 199.58/199.93 cnf(12435,plain, % 199.58/199.93 (~P108(f330(f330(f332(x124351),x124352),f191(f935(x124351,a923))))), % 199.58/199.93 inference(rename_variables,[],[4807])). % 199.58/199.93 cnf(12438,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x124381),x124381))), % 199.58/199.93 inference(rename_variables,[],[4794])). % 199.58/199.93 cnf(12440,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x124401),f330(f330(f236(a928),x124401),x124402)))), % 199.58/199.93 inference(scs_inference,[],[3804,4768,4769,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,3772,4745,10757,10857,11330,3173,3174,3176,3177,3180,3184,3185,3191,3201,3207,3213,3222,3223,3239,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,3514,4026,4334,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3624,11173,3498,4203,4758,10584,10754,3558,12127,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4620,4621,4756,3866,4083,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,4019,12027,3551,3647,11850,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,4310,4269,4214,11170,4264,3932,11975,4298,3949,10720,10817,11382,11460,11545,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,3569,3643,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,3588,11017,11178,11248,12063,12212,4048,4389,4801,4059,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,11317,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,4444,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306])). % 199.58/199.93 cnf(12441,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x124411),x124411))), % 199.58/199.93 inference(rename_variables,[],[4794])). % 199.58/199.93 cnf(12444,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x124441),x124441))), % 199.58/199.93 inference(rename_variables,[],[4794])). % 199.58/199.93 cnf(12447,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x124471),x124471))), % 199.58/199.93 inference(rename_variables,[],[4794])). % 199.58/199.93 cnf(12450,plain, % 199.58/199.93 (P108(f330(f330(f239(a928),x124501),f330(a115,x124501)))), % 199.58/199.93 inference(rename_variables,[],[3635])). % 199.58/199.93 cnf(12457,plain, % 199.58/199.93 (P108(f330(f330(f332(f935(x124571,a923)),x124572),f330(f311(x124571),x124572)))), % 199.58/199.93 inference(rename_variables,[],[3932])). % 199.58/199.93 cnf(12462,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x124621,a923)),x124622),f330(f330(f312(x124621),x124623),x124622)))), % 199.58/199.93 inference(rename_variables,[],[4014])). % 199.58/199.93 cnf(12469,plain, % 199.58/199.93 (~P108(f330(f330(f332(x124691),x124692),f191(f935(x124691,a923))))), % 199.58/199.93 inference(rename_variables,[],[4807])). % 199.58/199.93 cnf(12478,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x124781,a923)),x124782),f245(f935(x124781,a923))))), % 199.58/199.93 inference(rename_variables,[],[3949])). % 199.58/199.93 cnf(12479,plain, % 199.58/199.93 (~E(f330(a115,x124791),x124791)), % 199.58/199.93 inference(rename_variables,[],[4733])). % 199.58/199.93 cnf(12482,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x124821,a923)),f330(f175(x124821),f330(f139(x124821,x124822),x124823))),f330(f175(x124821),x124823)))), % 199.58/199.93 inference(rename_variables,[],[4214])). % 199.58/199.93 cnf(12488,plain, % 199.58/199.93 (P108(f330(f330(f239(a928),x124881),f330(a115,x124881)))), % 199.58/199.93 inference(rename_variables,[],[3635])). % 199.58/199.93 cnf(12497,plain, % 199.58/199.93 (E(f32(x124971,x124972,x124973,x124974,x124975,x124976,x124977,x124978,x124979,a25),x124972)), % 199.58/199.93 inference(rename_variables,[],[4719])). % 199.58/199.93 cnf(12508,plain, % 199.58/199.93 (~P108(f330(f330(f238(a928),f330(a115,x125081)),x125081))), % 199.58/199.93 inference(rename_variables,[],[4804])). % 199.58/199.93 cnf(12509,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x125091),f2(a928)))), % 199.58/199.93 inference(rename_variables,[],[4798])). % 199.58/199.93 cnf(12512,plain, % 199.58/199.93 (P108(f330(f62(x125121),f191(f935(x125121,a923))))), % 199.58/199.93 inference(rename_variables,[],[3643])). % 199.58/199.93 cnf(12513,plain, % 199.58/199.93 (~P108(f330(f330(f332(x125131),x125132),f191(f935(x125131,a923))))), % 199.58/199.93 inference(rename_variables,[],[4807])). % 199.58/199.93 cnf(12520,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x125201,a923)),f330(f175(x125201),f179(x125201,x125202,x125203))),f330(f175(x125201),x125202)))), % 199.58/199.93 inference(rename_variables,[],[4264])). % 199.58/199.93 cnf(12523,plain, % 199.58/199.93 (P25(x125231,x125231,f5(x125231),x125232)), % 199.58/199.93 inference(rename_variables,[],[3804])). % 199.58/199.93 cnf(12528,plain, % 199.58/199.93 (P108(f330(f330(f332(f935(x125281,a923)),x125282),f330(f311(x125281),x125282)))), % 199.58/199.93 inference(rename_variables,[],[3932])). % 199.58/199.93 cnf(12535,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),x125351),x125351))), % 199.58/199.93 inference(rename_variables,[],[3567])). % 199.58/199.93 cnf(12538,plain, % 199.58/199.93 (~P108(f330(f330(f332(x125381),x125382),f191(f935(x125381,a923))))), % 199.58/199.93 inference(rename_variables,[],[4807])). % 199.58/199.93 cnf(12541,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x125411,a923)),x125412),f330(f330(f312(x125411),x125413),x125412)))), % 199.58/199.93 inference(rename_variables,[],[4014])). % 199.58/199.93 cnf(12542,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x125421,a923)),x125422),f245(f935(x125421,a923))))), % 199.58/199.93 inference(rename_variables,[],[3949])). % 199.58/199.93 cnf(12549,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),x125491),x125491))), % 199.58/199.93 inference(rename_variables,[],[3567])). % 199.58/199.93 cnf(12552,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),x125521),x125521))), % 199.58/199.93 inference(rename_variables,[],[3567])). % 199.58/199.93 cnf(12555,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),x125551),x125551))), % 199.58/199.93 inference(rename_variables,[],[3567])). % 199.58/199.93 cnf(12558,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),x125581),x125581))), % 199.58/199.93 inference(rename_variables,[],[3567])). % 199.58/199.93 cnf(12560,plain, % 199.58/199.93 (P108(f330(f330(f239(a928),x125601),f330(a115,f330(f330(f237(a928),x125602),x125601))))), % 199.58/199.93 inference(scs_inference,[],[3804,11450,4768,4769,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,3772,4745,10757,10857,11330,3173,3174,3176,3177,3179,3180,3184,3185,3191,3201,3207,3213,3222,3223,3239,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,3514,4026,4334,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3624,11173,3498,4203,4758,10584,10754,3558,12127,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4620,4621,4756,3866,4083,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,12152,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,4310,4269,4214,11170,4264,11379,3932,11975,12310,12457,4298,3949,10720,10817,11382,11460,11545,11609,12478,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,3569,3643,12512,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,3588,11017,11178,11248,12063,12212,4048,4389,4801,4059,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,11317,12332,12462,3863,11435,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,4444,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859])). % 199.58/199.93 cnf(12561,plain, % 199.58/199.93 (P108(f330(f330(f239(a928),x125611),f330(a115,x125611)))), % 199.58/199.93 inference(rename_variables,[],[3635])). % 199.58/199.93 cnf(12564,plain, % 199.58/199.93 (P108(f330(f330(f239(a928),x125641),f330(a115,x125641)))), % 199.58/199.93 inference(rename_variables,[],[3635])). % 199.58/199.93 cnf(12567,plain, % 199.58/199.93 (P108(f330(f330(f290(a928),x125671),x125671))), % 199.58/199.93 inference(rename_variables,[],[3569])). % 199.58/199.93 cnf(12570,plain, % 199.58/199.93 (P108(f330(f330(f290(a928),x125701),x125701))), % 199.58/199.93 inference(rename_variables,[],[3569])). % 199.58/199.93 cnf(12572,plain, % 199.58/199.93 (P108(f330(f330(f238(a923),x125721),x125721))), % 199.58/199.93 inference(scs_inference,[],[3804,11450,4768,4769,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,3772,4745,10757,10857,11330,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3201,3207,3210,3213,3222,3223,3239,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,3514,4026,4334,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3624,11173,3498,4203,4758,10584,10754,3558,12127,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4620,4621,4756,3866,4083,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,12152,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,4310,4269,4214,11170,4264,11379,3932,11975,12310,12457,4298,3949,10720,10817,11382,11460,11545,11609,12478,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,3569,12567,3643,12512,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,3588,11017,11178,11248,12063,12212,4048,4389,4801,4059,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,11317,12332,12462,3863,11435,11563,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,4444,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887])). % 199.58/199.93 cnf(12573,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x125731,a923)),x125732),x125732))), % 199.58/199.93 inference(rename_variables,[],[3863])). % 199.58/199.93 cnf(12580,plain, % 199.58/199.93 (P108(f330(f330(f332(f935(x125801,a923)),x125802),f330(f311(x125801),x125802)))), % 199.58/199.93 inference(rename_variables,[],[3932])). % 199.58/199.93 cnf(12589,plain, % 199.58/199.93 (~E(f330(a115,x125891),x125891)), % 199.58/199.93 inference(rename_variables,[],[4733])). % 199.58/199.93 cnf(12590,plain, % 199.58/199.93 (E(f330(f313(x125901,x125901,f5(x125901)),x125902),x125902)), % 199.58/199.93 inference(rename_variables,[],[3624])). % 199.58/199.93 cnf(12593,plain, % 199.58/199.93 (P34(x125931,x125932,f116(x125931),f116(x125931))), % 199.58/199.93 inference(rename_variables,[],[3813])). % 199.58/199.93 cnf(12596,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x125961,a923)),f330(f175(x125961),f179(x125961,x125962,x125963))),f330(f175(x125961),x125962)))), % 199.58/199.93 inference(rename_variables,[],[4264])). % 199.58/199.93 cnf(12597,plain, % 199.58/199.93 (P108(f330(f62(x125971),f330(f175(x125971),x125972)))), % 199.58/199.93 inference(rename_variables,[],[3607])). % 199.58/199.93 cnf(12608,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x126081),x126081))), % 199.58/199.93 inference(rename_variables,[],[4794])). % 199.58/199.93 cnf(12610,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),f330(f254(x126101,x126102),f330(f330(f255(x126101,x126102),x126103),f161(x126104,x126105)))),x126103))), % 199.58/199.93 inference(scs_inference,[],[3804,11450,3813,4768,4769,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,3772,4745,10757,10857,11330,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3201,3207,3210,3213,3222,3223,3239,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,3514,4026,4334,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3624,11173,11300,3498,4203,4758,10584,10754,3558,12127,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4620,4621,4756,3866,4083,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,12152,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,4310,4269,4214,11170,4264,11379,12520,3932,11975,12310,12457,12528,4298,3949,10720,10817,11382,11460,11545,11609,12478,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,3569,12567,3643,12512,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,3588,11017,11178,11248,12063,12212,4048,4389,4801,4059,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,11317,12332,12462,3863,11435,11563,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,4444,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887,7913,7914,7945,7947,7948,7949,7954,7975,7992,7997,8003,8005,8013,8025,8026])). % 199.58/199.93 cnf(12611,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x126111),x126111))), % 199.58/199.93 inference(rename_variables,[],[4794])). % 199.58/199.93 cnf(12616,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),f2(a928)),x126161))), % 199.58/199.93 inference(rename_variables,[],[3588])). % 199.58/199.93 cnf(12623,plain, % 199.58/199.93 (P13(a928,f330(f171(a928),f330(f330(f157(f929(x126231),a928),f192(f929(x126231))),f182(x126231,x126232))))), % 199.58/199.93 inference(rename_variables,[],[4130])). % 199.58/199.93 cnf(12626,plain, % 199.58/199.93 (P25(x126261,x126261,f5(x126261),x126262)), % 199.58/199.93 inference(rename_variables,[],[3804])). % 199.58/199.93 cnf(12629,plain, % 199.58/199.93 (P25(x126291,x126291,f5(x126291),x126292)), % 199.58/199.93 inference(rename_variables,[],[3804])). % 199.58/199.93 cnf(12632,plain, % 199.58/199.93 (P108(f330(f330(f332(f929(x126321)),f116(x126321)),f164(x126321,x126322)))), % 199.58/199.93 inference(rename_variables,[],[3764])). % 199.58/199.93 cnf(12635,plain, % 199.58/199.93 (~P108(f330(f330(f191(f935(x126351,f935(x126352,a923))),x126353),x126354))), % 199.58/199.93 inference(rename_variables,[],[4821])). % 199.58/199.93 cnf(12640,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),x126401),x126401))), % 199.58/199.93 inference(rename_variables,[],[3567])). % 199.58/199.93 cnf(12641,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),f2(a928)),x126411))), % 199.58/199.93 inference(rename_variables,[],[3588])). % 199.58/199.93 cnf(12644,plain, % 199.58/199.93 (~P108(f330(f330(f191(f935(x126441,f935(x126442,a923))),x126443),x126444))), % 199.58/199.93 inference(rename_variables,[],[4821])). % 199.58/199.93 cnf(12647,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(f934(f929(x126471),f929(x126471)),a923)),f161(x126471,x126472)),f310(f929(x126471),f160(x126471,x126472))))), % 199.58/199.93 inference(rename_variables,[],[4269])). % 199.58/199.93 cnf(12653,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x126531,a923)),f330(f313(x126532,x126531,x126533),f330(f314(x126532,x126531,x126533),x126534))),x126534))), % 199.58/199.93 inference(rename_variables,[],[4444])). % 199.58/199.93 cnf(12656,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x126561,a923)),f330(f175(x126561),f179(x126561,x126562,x126563))),f330(f175(x126561),x126562)))), % 199.58/199.93 inference(rename_variables,[],[4264])). % 199.58/199.93 cnf(12657,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x126571,a923)),f330(f175(x126571),f330(f139(x126571,x126572),x126573))),f330(f175(x126571),x126573)))), % 199.58/199.93 inference(rename_variables,[],[4214])). % 199.58/199.93 cnf(12659,plain, % 199.58/199.93 (~P108(f330(f330(f238(f935(x126591,a923)),f245(f935(x126591,a923))),f191(f935(x126591,a923))))), % 199.58/199.93 inference(scs_inference,[],[3804,11450,12523,12626,3813,4768,4769,3439,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,3772,4745,10757,10857,11330,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3201,3207,3210,3213,3222,3223,3239,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,3514,4026,4334,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3446,3624,11173,11300,3498,4203,4758,10584,10754,3558,12127,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,3931,4620,4621,4756,3866,4083,4130,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,12152,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,4310,4269,12300,12647,4214,11170,12482,4264,11379,12520,12596,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,3569,12567,3643,12512,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,3588,11017,11178,11248,12063,12212,12410,12616,4048,4389,4801,4059,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,11317,12332,12462,3863,11435,11563,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,10889,12635,4444,11161,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887,7913,7914,7945,7947,7948,7949,7954,7975,7992,7997,8003,8005,8013,8025,8026,8028,8049,8055,8076,8144,8145,8146,8194,8200,8201,8224,8225,8242,8243,8244,8301,8302])). % 199.58/199.93 cnf(12660,plain, % 199.58/199.93 (~P108(f330(f330(f239(f935(x126601,a923)),x126602),f191(f935(x126601,a923))))), % 199.58/199.93 inference(rename_variables,[],[4815])). % 199.58/199.93 cnf(12668,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x126681,a923)),f330(f313(x126682,x126681,x126683),f330(f314(x126682,x126681,x126683),x126684))),x126684))), % 199.58/199.93 inference(rename_variables,[],[4444])). % 199.58/199.93 cnf(12673,plain, % 199.58/199.93 (P108(f330(f330(f332(f929(x126731)),f116(x126731)),f164(x126731,x126732)))), % 199.58/199.93 inference(rename_variables,[],[3764])). % 199.58/199.93 cnf(12676,plain, % 199.58/199.93 (~P108(f330(f330(f332(f934(f929(x126761),f929(x126761))),f330(f330(f255(f929(x126761),f929(x126761)),x126762),f116(x126761))),f148(x126761,x126763)))), % 199.58/199.93 inference(rename_variables,[],[4823])). % 199.58/199.93 cnf(12679,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x126791),f2(a928)))), % 199.58/199.93 inference(rename_variables,[],[4798])). % 199.58/199.93 cnf(12681,plain, % 199.58/199.93 (~P108(f330(f62(x126811),f245(f935(x126811,a923))))), % 199.58/199.93 inference(scs_inference,[],[3804,11450,12523,12626,3813,3822,3538,4768,4769,3436,3439,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,3772,4745,10757,10857,11330,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3201,3207,3210,3213,3222,3223,3230,3239,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,3514,4026,4334,3401,4120,11785,3465,3398,3426,3421,3409,3410,4038,3446,3624,11173,11300,3498,4203,4758,10584,10754,3558,12127,4805,11356,11455,11693,11696,3671,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,4823,11275,11524,11635,11661,11701,11707,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,12632,12673,3931,4620,4621,4756,3866,4083,4130,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,12152,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,4310,4269,12300,12647,4214,11170,12482,4264,11379,12520,12596,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,3569,12567,3643,12512,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,3588,11017,11178,11248,12063,12212,12410,12616,4048,4389,4801,4059,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,4171,11727,12083,4014,11291,11297,11317,12332,12462,3863,11435,11563,12573,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,10889,12635,4444,11161,12653,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887,7913,7914,7945,7947,7948,7949,7954,7975,7992,7997,8003,8005,8013,8025,8026,8028,8049,8055,8076,8144,8145,8146,8194,8200,8201,8224,8225,8242,8243,8244,8301,8302,8331,8360,8370,8384,8397,8426,8430,8436])). % 199.58/199.93 cnf(12682,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x126821,a923)),x126822),x126822))), % 199.58/199.93 inference(rename_variables,[],[3863])). % 199.58/199.93 cnf(12685,plain, % 199.58/199.93 (~P108(f330(f330(f332(x126851),x126852),f191(f935(x126851,a923))))), % 199.58/199.93 inference(rename_variables,[],[4807])). % 199.58/199.93 cnf(12688,plain, % 199.58/199.93 (~P108(f330(f330(f191(f935(x126881,f935(x126882,a923))),x126883),x126884))), % 199.58/199.93 inference(rename_variables,[],[4821])). % 199.58/199.93 cnf(12691,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x126911,a923)),f330(f313(x126912,x126911,x126913),f330(f314(x126912,x126911,x126913),x126914))),x126914))), % 199.58/199.93 inference(rename_variables,[],[4444])). % 199.58/199.93 cnf(12692,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x126921,a923)),x126922),x126922))), % 199.58/199.93 inference(rename_variables,[],[3863])). % 199.58/199.93 cnf(12697,plain, % 199.58/199.93 (E(f32(x126971,x126972,x126973,x126974,x126975,x126976,x126977,x126978,x126979,a25),x126972)), % 199.58/199.93 inference(rename_variables,[],[4719])). % 199.58/199.93 cnf(12700,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x127001,a923)),f330(f175(x127001),f179(x127001,x127002,x127003))),f330(f175(x127001),x127002)))), % 199.58/199.93 inference(rename_variables,[],[4264])). % 199.58/199.93 cnf(12701,plain, % 199.58/199.93 (P108(f330(f62(x127011),f330(f175(x127011),x127012)))), % 199.58/199.93 inference(rename_variables,[],[3607])). % 199.58/199.93 cnf(12704,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),x127041),x127041))), % 199.58/199.93 inference(rename_variables,[],[3567])). % 199.58/199.93 cnf(12707,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x127071),x127071))), % 199.58/199.93 inference(rename_variables,[],[4794])). % 199.58/199.93 cnf(12710,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x127101),x127101))), % 199.58/199.93 inference(rename_variables,[],[4794])). % 199.58/199.93 cnf(12721,plain, % 199.58/199.93 (P25(x127211,x127211,f5(x127211),x127212)), % 199.58/199.93 inference(rename_variables,[],[3804])). % 199.58/199.93 cnf(12729,plain, % 199.58/199.93 (~P108(f330(f330(f332(x127291),x127292),f191(f935(x127291,a923))))), % 199.58/199.93 inference(rename_variables,[],[4807])). % 199.58/199.93 cnf(12732,plain, % 199.58/199.93 (P108(f330(f330(f332(f934(x127321,x127321)),f330(f330(f255(x127321,x127321),x127322),x127322)),f310(x127321,x127323)))), % 199.58/199.93 inference(rename_variables,[],[4205])). % 199.58/199.93 cnf(12735,plain, % 199.58/199.93 (~P108(f330(f330(f332(x127351),x127352),f191(f935(x127351,a923))))), % 199.58/199.93 inference(rename_variables,[],[4807])). % 199.58/199.93 cnf(12738,plain, % 199.58/199.93 (P108(f330(f330(f332(f934(x127381,x127381)),f330(f330(f255(x127381,x127381),x127382),x127382)),f310(x127381,x127383)))), % 199.58/199.93 inference(rename_variables,[],[4205])). % 199.58/199.93 cnf(12748,plain, % 199.58/199.93 (~E(f330(f330(f154(x127481),x127482),x127483),x127483)), % 199.58/199.93 inference(rename_variables,[],[4758])). % 199.58/199.93 cnf(12750,plain, % 199.58/199.93 (~P26(a928,a928,x127501,f245(f935(a928,a923)),f309(a928,x127502,x127503))), % 199.58/199.93 inference(scs_inference,[],[3804,11450,12523,12626,12629,3813,3822,3538,4768,4769,3436,3439,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,12497,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,3772,12283,4745,10757,10857,11330,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3201,3207,3210,3213,3222,3223,3230,3239,3240,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,3514,4026,4334,3401,4120,11785,3465,3398,3426,3884,3421,3409,3410,4038,3446,3624,11173,11300,3498,4203,4758,10584,10754,11641,3558,12127,4805,11356,11455,11693,11696,3671,4783,3462,10657,10987,3463,3725,3379,3484,11775,4348,4205,11376,11511,11572,12732,4823,11275,11524,11635,11661,11701,11707,12676,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,12632,12673,3931,3713,4620,4621,4756,11768,3866,4083,4130,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,12564,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,12679,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3757,4812,4341,11658,3889,3607,12149,12152,12597,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,4310,4269,12300,12647,4214,11170,12482,4264,11379,12520,12596,12656,12700,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,12542,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,12640,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,3569,12567,3643,12512,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,12611,12707,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,12538,12685,12729,3628,10984,11014,11023,11026,11029,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,3588,11017,11178,11248,12063,12212,12410,12616,4048,4389,4801,4059,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,11730,4171,11727,12083,4014,11291,11297,11317,12332,12462,3863,11435,11563,12573,12682,4016,11020,11398,11569,11603,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,10889,12635,12644,4444,11161,12653,12668,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8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% 199.58/199.93 cnf(12755,plain, % 199.58/199.93 (P108(f330(f330(f332(x127551),x127552),f245(f935(x127551,a923))))), % 199.58/199.93 inference(rename_variables,[],[3720])). % 199.58/199.93 cnf(12756,plain, % 199.58/199.93 (~E(f330(a115,x127561),x127561)), % 199.58/199.93 inference(rename_variables,[],[4733])). % 199.58/199.93 cnf(12759,plain, % 199.58/199.93 (P108(f330(f330(f332(f929(x127591)),f116(x127591)),f164(x127591,x127592)))), % 199.58/199.93 inference(rename_variables,[],[3764])). % 199.58/199.93 cnf(12760,plain, % 199.58/199.93 (~E(f330(f330(f154(x127601),x127602),x127603),f116(x127601))), % 199.58/199.93 inference(rename_variables,[],[4765])). % 199.58/199.93 cnf(12763,plain, % 199.58/199.93 (P25(x127631,x127631,f5(x127631),x127632)), % 199.58/199.93 inference(rename_variables,[],[3804])). % 199.58/199.93 cnf(12766,plain, % 199.58/199.93 (P108(f330(f330(f332(x127661),f330(x127662,x127663)),f330(f313(x127664,x127661,x127662),f245(f935(x127664,a923)))))), % 199.58/199.93 inference(rename_variables,[],[4171])). % 199.58/199.93 cnf(12767,plain, % 199.58/199.93 (P25(x127671,x127671,f5(x127671),x127672)), % 199.58/199.93 inference(rename_variables,[],[3804])). % 199.58/199.93 cnf(12770,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x127701,a923)),f191(f935(x127701,a923))),x127702))), % 199.58/199.93 inference(rename_variables,[],[4016])). % 199.58/199.93 cnf(12771,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x127711,a923)),x127712),x127712))), % 199.58/199.93 inference(rename_variables,[],[3863])). % 199.58/199.93 cnf(12774,plain, % 199.58/199.93 (P108(f330(f330(f332(x127741),f330(x127742,x127743)),f330(f313(x127744,x127741,x127742),f245(f935(x127744,a923)))))), % 199.58/199.93 inference(rename_variables,[],[4171])). % 199.58/199.93 cnf(12775,plain, % 199.58/199.93 (P25(x127751,x127751,f5(x127751),x127752)), % 199.58/199.93 inference(rename_variables,[],[3804])). % 199.58/199.93 cnf(12778,plain, % 199.58/199.93 (P108(f330(f330(f332(f934(f929(x127781),f929(x127781))),f330(f330(f255(f929(x127781),f929(x127781)),f116(x127781)),f116(x127781))),f161(x127781,x127782)))), % 199.58/199.93 inference(rename_variables,[],[4348])). % 199.58/199.93 cnf(12782,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x127821),f2(a928)))), % 199.58/199.93 inference(rename_variables,[],[4798])). % 199.58/199.93 cnf(12788,plain, % 199.58/199.93 (E(f330(f330(f137(x127881),x127882),f116(x127881)),x127882)), % 199.58/199.93 inference(rename_variables,[],[3499])). % 199.58/199.93 cnf(12789,plain, % 199.58/199.93 (~E(f330(f330(f154(x127891),x127892),x127893),x127893)), % 199.58/199.93 inference(rename_variables,[],[4758])). % 199.58/199.93 cnf(12792,plain, % 199.58/199.93 (E(f330(f330(f137(x127921),x127922),f116(x127921)),x127922)), % 199.58/199.93 inference(rename_variables,[],[3499])). % 199.58/199.93 cnf(12793,plain, % 199.58/199.93 (~E(f330(f330(f154(x127931),x127932),x127933),x127933)), % 199.58/199.93 inference(rename_variables,[],[4758])). % 199.58/199.93 cnf(12796,plain, % 199.58/199.93 (E(f330(f330(f137(x127961),x127962),f116(x127961)),x127962)), % 199.58/199.93 inference(rename_variables,[],[3499])). % 199.58/199.93 cnf(12803,plain, % 199.58/199.93 (P54(x128031,f266(x128031,x128032))), % 199.58/199.93 inference(rename_variables,[],[3440])). % 199.58/199.93 cnf(12806,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x128061,a923)),f330(f175(x128061),f330(f139(x128061,x128062),x128063))),f330(f175(x128061),x128063)))), % 199.58/199.93 inference(rename_variables,[],[4214])). % 199.58/199.93 cnf(12807,plain, % 199.58/199.93 (E(f330(f313(x128071,x128071,f5(x128071)),x128072),x128072)), % 199.58/199.93 inference(rename_variables,[],[3624])). % 199.58/199.93 cnf(12812,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x128121,a923)),x128122),f245(f935(x128121,a923))))), % 199.58/199.93 inference(rename_variables,[],[3949])). % 199.58/199.93 cnf(12816,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x128161),x128161))), % 199.58/199.93 inference(rename_variables,[],[4794])). % 199.58/199.93 cnf(12817,plain, % 199.58/199.93 (~E(f330(a115,x128171),x128171)), % 199.58/199.93 inference(rename_variables,[],[4733])). % 199.58/199.93 cnf(12820,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x128201,a923)),f191(f935(x128201,a923))),x128202))), % 199.58/199.93 inference(rename_variables,[],[4016])). % 199.58/199.93 cnf(12823,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),x128231),x128231))), % 199.58/199.93 inference(rename_variables,[],[3567])). % 199.58/199.93 cnf(12826,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x128261,a923)),x128262),x128262))), % 199.58/199.93 inference(rename_variables,[],[3863])). % 199.58/199.93 cnf(12831,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x128311,a923)),x128312),f330(f330(f312(x128311),x128313),x128312)))), % 199.58/199.93 inference(rename_variables,[],[4014])). % 199.58/199.93 cnf(12834,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x128341,a923)),x128342),x128342))), % 199.58/199.93 inference(rename_variables,[],[3863])). % 199.58/199.93 cnf(12835,plain, % 199.58/199.93 (~P108(f330(f330(f332(x128351),x128352),f191(f935(x128351,a923))))), % 199.58/199.93 inference(rename_variables,[],[4807])). % 199.58/199.93 cnf(12838,plain, % 199.58/199.93 (~P108(f330(f330(f332(x128381),x128382),f191(f935(x128381,a923))))), % 199.58/199.93 inference(rename_variables,[],[4807])). % 199.58/199.93 cnf(12847,plain, % 199.58/199.93 (P25(x128471,x128471,f5(x128471),x128472)), % 199.58/199.93 inference(rename_variables,[],[3804])). % 199.58/199.93 cnf(12850,plain, % 199.58/199.93 (E(f330(f192(f929(x128501)),f172(x128501,x128502,x128503)),x128502)), % 199.58/199.93 inference(rename_variables,[],[3634])). % 199.58/199.93 cnf(12853,plain, % 199.58/199.93 (P26(x128531,x128531,f33(x128531),x128532,x128532)), % 199.58/199.93 inference(rename_variables,[],[4229])). % 199.58/199.93 cnf(12856,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x128561),x128561))), % 199.58/199.93 inference(rename_variables,[],[4794])). % 199.58/199.93 cnf(12857,plain, % 199.58/199.93 (P108(f330(f245(f935(x128571,a923)),x128572))), % 199.58/199.93 inference(rename_variables,[],[3628])). % 199.58/199.93 cnf(12860,plain, % 199.58/199.93 (~P108(f330(f330(f332(x128601),x128602),f191(f935(x128601,a923))))), % 199.58/199.93 inference(rename_variables,[],[4807])). % 199.58/199.93 cnf(12863,plain, % 199.58/199.93 (P108(f330(f330(f332(x128631),f330(x128632,x128633)),f330(f313(x128634,x128631,x128632),f245(f935(x128634,a923)))))), % 199.58/199.93 inference(rename_variables,[],[4171])). % 199.58/199.93 cnf(12864,plain, % 199.58/199.93 (P108(f330(f330(f332(f934(x128641,x128641)),f330(f330(f255(x128641,x128641),x128642),x128642)),f310(x128641,x128643)))), % 199.58/199.93 inference(rename_variables,[],[4205])). % 199.58/199.93 cnf(12867,plain, % 199.58/199.93 (P108(f330(f330(f332(f934(x128671,x128671)),f330(f330(f255(x128671,x128671),x128672),x128672)),f310(x128671,x128673)))), % 199.58/199.93 inference(rename_variables,[],[4205])). % 199.58/199.93 cnf(12870,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),x128701),x128701))), % 199.58/199.93 inference(rename_variables,[],[3567])). % 199.58/199.93 cnf(12871,plain, % 199.58/199.93 (P108(f330(f245(f935(x128711,a923)),x128712))), % 199.58/199.93 inference(rename_variables,[],[3628])). % 199.58/199.93 cnf(12874,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x128741,a923)),x128742),f245(f935(x128741,a923))))), % 199.58/199.93 inference(rename_variables,[],[3949])). % 199.58/199.93 cnf(12875,plain, % 199.58/199.93 (P26(x128751,x128751,f33(x128751),x128752,x128752)), % 199.58/199.93 inference(rename_variables,[],[4229])). % 199.58/199.93 cnf(12878,plain, % 199.58/199.93 (P108(f330(f62(x128781),f330(f175(x128781),x128782)))), % 199.58/199.93 inference(rename_variables,[],[3607])). % 199.58/199.93 cnf(12880,plain, % 199.58/199.93 (E(f330(f330(f137(x128801),f689(x128802,x128803,f116(x128801),f330(f330(f154(x128801),x128803),x128802),x128801)),f116(x128801)),x128802)), % 199.58/199.93 inference(scs_inference,[],[4229,12853,3804,11450,12523,12626,12629,12721,12763,12767,12775,3813,3822,3538,4768,4769,3436,3439,3440,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,12497,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,12589,12756,3623,3772,12283,4745,10757,10857,11330,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3201,3207,3210,3213,3222,3223,3230,3239,3240,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,3499,12788,12792,12796,3514,4026,4334,3634,3401,4120,11785,3465,3398,3426,3884,3421,3409,3410,4038,3446,3624,11173,11300,12590,12807,3498,4203,4758,10584,10754,11641,12748,12789,4765,12760,3558,12127,4805,11356,11455,11693,11696,3671,4783,3462,10657,10987,3463,3725,3379,3484,11775,4348,12778,4205,11376,11511,11572,12732,12738,12864,4823,11275,11524,11635,11661,11701,11707,12676,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,12632,12673,12759,3931,3713,4620,4621,4756,11768,3866,4083,4130,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,12564,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,12679,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3957,3757,4812,4341,11658,3889,3607,12149,12152,12597,12701,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,12219,4310,4269,12300,12647,4214,11170,12482,12657,4264,11379,12520,12596,12656,12700,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,12542,12812,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,12640,12704,12823,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,3569,12567,3643,12512,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,12611,12707,12710,12816,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,12538,12685,12729,12735,12835,12838,3628,10984,11014,11023,11026,11029,11627,12857,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,3588,11017,11178,11248,12063,12212,12410,12616,4048,4389,4801,4059,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,11730,4171,11727,12083,12087,12766,12774,4014,11291,11297,11317,12332,12462,12541,3863,11435,11563,12573,12682,12692,12771,12826,4016,11020,11398,11569,11603,11614,12770,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,10889,12635,12644,4444,11161,12653,12668,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887,7913,7914,7945,7947,7948,7949,7954,7975,7992,7997,8003,8005,8013,8025,8026,8028,8049,8055,8076,8144,8145,8146,8194,8200,8201,8224,8225,8242,8243,8244,8301,8302,8331,8360,8370,8384,8397,8426,8430,8436,8448,8466,8471,8493,8538,8568,8582,8601,8604,8630,8657,8714,8715,8718,8719,8787,8821,8822,8823,8824,8851,8883,8912,8920,8921,8962,8983,9028,9044,9090,9093,9108,9115,9158,9201,9202,9220,9221,9235,9352,9358,9362,9382,9393,9416,9418,9421,9427,9429,9430,9440,9441,9460,9468,9478,9485,9527,9545,9600,9601,9607,9646,9671,9676])). % 199.58/199.93 cnf(12885,plain, % 199.58/199.93 (P108(f330(f330(f332(f934(x128851,x128851)),f330(f330(f255(x128851,x128851),x128852),x128852)),f330(f330(f292(x128851,x128851,x128851),f310(x128851,x128853)),f310(x128851,f310(x128851,x128853)))))), % 199.58/199.93 inference(scs_inference,[],[4229,12853,3804,11450,12523,12626,12629,12721,12763,12767,12775,3813,3822,3538,4768,4769,3436,3439,3440,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,12497,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,12589,12756,3623,3772,12283,4745,10757,10857,11330,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3201,3207,3210,3213,3222,3223,3230,3239,3240,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,4134,3608,3499,12788,12792,12796,3514,4026,4334,3634,3401,4120,11785,3465,3398,3426,3884,3421,3409,3410,4038,3446,3624,11173,11300,12590,12807,3498,4203,4758,10584,10754,11641,12748,12789,4765,12760,3558,12127,4805,11356,11455,11693,11696,3671,4783,3462,10657,10987,3463,3725,3379,3484,11775,4348,12778,4205,11376,11511,11572,12732,12738,12864,12867,4823,11275,11524,11635,11661,11701,11707,12676,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,12632,12673,12759,3931,3713,4620,4621,4756,11768,3866,4083,4130,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,12564,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,12679,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3957,3757,4812,4341,11658,3889,3607,12149,12152,12597,12701,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,12219,4310,4269,12300,12647,4214,11170,12482,12657,4264,11379,12520,12596,12656,12700,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,12542,12812,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,12640,12704,12823,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,3569,12567,3643,12512,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,12611,12707,12710,12816,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,12538,12685,12729,12735,12835,12838,3628,10984,11014,11023,11026,11029,11627,12857,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,3588,11017,11178,11248,12063,12212,12410,12616,4048,4389,4801,4059,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,11730,4171,11727,12083,12087,12766,12774,4014,11291,11297,11317,12332,12462,12541,3863,11435,11563,12573,12682,12692,12771,12826,4016,11020,11398,11569,11603,11614,12770,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,10889,12635,12644,4444,11161,12653,12668,4352,4047,3992,4818,10606,10609,10978,10981,11891,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887,7913,7914,7945,7947,7948,7949,7954,7975,7992,7997,8003,8005,8013,8025,8026,8028,8049,8055,8076,8144,8145,8146,8194,8200,8201,8224,8225,8242,8243,8244,8301,8302,8331,8360,8370,8384,8397,8426,8430,8436,8448,8466,8471,8493,8538,8568,8582,8601,8604,8630,8657,8714,8715,8718,8719,8787,8821,8822,8823,8824,8851,8883,8912,8920,8921,8962,8983,9028,9044,9090,9093,9108,9115,9158,9201,9202,9220,9221,9235,9352,9358,9362,9382,9393,9416,9418,9421,9427,9429,9430,9440,9441,9460,9468,9478,9485,9527,9545,9600,9601,9607,9646,9671,9676,9715,9725])). % 199.58/199.93 cnf(12888,plain, % 199.58/199.93 (~P108(f330(f330(f191(f935(x128881,f935(x128882,a923))),x128883),x128884))), % 199.58/199.93 inference(rename_variables,[],[4821])). % 199.58/199.93 cnf(12891,plain, % 199.58/199.93 (~P108(f330(f330(f191(f935(x128911,f935(x128912,a923))),x128913),x128914))), % 199.58/199.93 inference(rename_variables,[],[4821])). % 199.58/199.93 cnf(12894,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x128941,a923)),x128942),f245(f935(x128941,a923))))), % 199.58/199.93 inference(rename_variables,[],[3949])). % 199.58/199.93 cnf(12897,plain, % 199.58/199.93 (P108(f330(f330(f332(f934(x128971,x128971)),f330(f330(f255(x128971,x128971),x128972),x128972)),f310(x128971,x128973)))), % 199.58/199.93 inference(rename_variables,[],[4205])). % 199.58/199.93 cnf(12900,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),f330(f330(f82(a928),x129001),x129002)),x129002))), % 199.58/199.93 inference(rename_variables,[],[4818])). % 199.58/199.93 cnf(12901,plain, % 199.58/199.93 (P108(f330(f330(f239(a928),x129011),f330(a115,x129011)))), % 199.58/199.93 inference(rename_variables,[],[3635])). % 199.58/199.93 cnf(12904,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x129041,a923)),x129042),f245(f935(x129041,a923))))), % 199.58/199.93 inference(rename_variables,[],[3949])). % 199.58/199.93 cnf(12907,plain, % 199.58/199.93 (E(f32(x129071,x129072,x129073,x129074,x129075,x129076,x129077,x129078,x129079,a25),x129072)), % 199.58/199.93 inference(rename_variables,[],[4719])). % 199.58/199.93 cnf(12917,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x129171),f330(f192(f929(x129172)),f116(x129172))))), % 199.58/199.93 inference(scs_inference,[],[4229,12853,3804,11450,12523,12626,12629,12721,12763,12767,12775,3813,3822,3538,4768,4769,3436,3439,3440,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,12497,12697,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,12589,12756,3623,3772,12283,4745,10757,10857,11330,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3201,3207,3210,3213,3222,3223,3230,3239,3240,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,3904,4134,3608,3499,12788,12792,12796,3514,4026,4334,3634,3401,4120,11785,3465,3398,3426,3884,3421,3409,3410,4038,3446,3624,11173,11300,12590,12807,3498,4203,4758,10584,10754,11641,12748,12789,4765,12760,3558,12127,4805,11356,11455,11693,11696,3671,4783,3462,10657,10987,3463,3725,3379,3484,11775,4348,12778,4205,11376,11511,11572,12732,12738,12864,12867,12897,4823,11275,11524,11635,11661,11701,11707,12676,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,12632,12673,12759,3931,3713,4620,4621,4756,11768,3866,4083,4130,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,12564,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,12679,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3957,3757,4812,4341,11658,3889,3607,12149,12152,12597,12701,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,12219,4310,4269,12300,12647,4214,11170,12482,12657,4264,11379,12520,12596,12656,12700,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,12542,12812,12874,12894,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,12640,12704,12823,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,3569,12567,3643,12512,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,12611,12707,12710,12816,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,12538,12685,12729,12735,12835,12838,12860,3628,10984,11014,11023,11026,11029,11627,12857,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,3588,11017,11178,11248,12063,12212,12410,12616,4048,4389,4801,4059,4095,4786,4789,3544,3548,4788,4787,3879,4817,10883,10886,4822,11365,11368,11560,11671,11688,11730,4171,11727,12083,12087,12766,12774,4014,11291,11297,11317,12332,12462,12541,3863,11435,11563,12573,12682,12692,12771,12826,4346,4016,11020,11398,11569,11603,11614,12770,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,10889,12635,12644,12688,12888,4444,11161,12653,12668,4352,4047,3992,4818,10606,10609,10978,10981,11891,12088,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887,7913,7914,7945,7947,7948,7949,7954,7975,7992,7997,8003,8005,8013,8025,8026,8028,8049,8055,8076,8144,8145,8146,8194,8200,8201,8224,8225,8242,8243,8244,8301,8302,8331,8360,8370,8384,8397,8426,8430,8436,8448,8466,8471,8493,8538,8568,8582,8601,8604,8630,8657,8714,8715,8718,8719,8787,8821,8822,8823,8824,8851,8883,8912,8920,8921,8962,8983,9028,9044,9090,9093,9108,9115,9158,9201,9202,9220,9221,9235,9352,9358,9362,9382,9393,9416,9418,9421,9427,9429,9430,9440,9441,9460,9468,9478,9485,9527,9545,9600,9601,9607,9646,9671,9676,9715,9725,9728,9729,9731,9732,9744,9768,9783,9792,9793,9795,9797])). % 199.58/199.93 cnf(12918,plain, % 199.58/199.93 (~P108(f330(f330(f332(x129181),x129182),f191(f935(x129181,a923))))), % 199.58/199.93 inference(rename_variables,[],[4807])). % 199.58/199.93 cnf(12919,plain, % 199.58/199.93 (P108(f330(f330(f332(f934(f929(x129191),f929(x129191))),f330(f330(f255(f929(x129191),f929(x129191)),f116(x129191)),f116(x129191))),f161(x129191,x129192)))), % 199.58/199.93 inference(rename_variables,[],[4348])). % 199.58/199.93 cnf(12924,plain, % 199.58/199.93 (~P108(f330(f330(f332(x129241),x129242),f191(f935(x129241,a923))))), % 199.58/199.93 inference(rename_variables,[],[4807])). % 199.58/199.93 cnf(12929,plain, % 199.58/199.93 (P33(x129291,x129292,f116(x129291))), % 199.58/199.93 inference(rename_variables,[],[3504])). % 199.58/199.93 cnf(12932,plain, % 199.58/199.93 (E(f330(f192(f929(x129321)),f172(x129321,x129322,x129323)),x129322)), % 199.58/199.93 inference(rename_variables,[],[3634])). % 199.58/199.93 cnf(12935,plain, % 199.58/199.93 (~P108(f330(f330(f332(x129351),x129352),f191(f935(x129351,a923))))), % 199.58/199.93 inference(rename_variables,[],[4807])). % 199.58/199.93 cnf(12939,plain, % 199.58/199.93 (~P108(f330(f330(f332(f934(f929(x129391),f929(x129391))),f330(f330(f255(f929(x129391),f929(x129391)),x129392),x129392)),f150(x129391,f156(x129391,f116(f935(x129391,a928))))))), % 199.58/199.93 inference(scs_inference,[],[4229,12853,3804,11450,12523,12626,12629,12721,12763,12767,12775,3813,3822,3538,3504,4768,4769,3436,3439,3440,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,12497,12697,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,12589,12756,3623,3772,12283,4745,10757,10857,11330,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3201,3207,3210,3213,3222,3223,3230,3239,3240,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3325,3328,3329,3335,3336,3351,3360,4731,3904,4134,3608,3499,12788,12792,12796,3514,4026,4334,3634,12850,3401,4120,11785,3465,3398,3426,3884,3421,3409,3410,4038,3446,3624,11173,11300,12590,12807,3498,4203,4758,10584,10754,11641,12748,12789,4765,12760,3558,12127,4805,11356,11455,11693,11696,3671,4783,3462,10657,10987,3463,3725,3379,3484,11775,4348,12778,12919,4205,11376,11511,11572,12732,12738,12864,12867,12897,4823,11275,11524,11635,11661,11701,11707,12676,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,12632,12673,12759,3931,3713,4620,4621,4756,11768,3866,4083,4130,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,12564,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,12679,4811,11894,11927,11964,11971,12007,4006,3773,4153,3594,3596,3570,4795,4753,3957,3757,4812,4341,11658,3889,3607,12149,12152,12597,12701,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,12219,4310,4269,12300,12647,4214,11170,12482,12657,4264,11379,12520,12596,12656,12700,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,12542,12812,12874,12894,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,12640,12704,12823,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,3569,12567,3643,12512,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,12611,12707,12710,12816,12856,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,12538,12685,12729,12735,12835,12838,12860,12918,12924,3628,10984,11014,11023,11026,11029,11627,12857,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,3588,11017,11178,11248,12063,12212,12410,12616,4048,4389,4801,4059,4095,4786,4789,3544,3548,4788,4787,3879,4484,4817,10883,10886,4822,11365,11368,11560,11671,11688,11730,4171,11727,12083,12087,12766,12774,4014,11291,11297,11317,12332,12462,12541,3863,11435,11563,12573,12682,12692,12771,12826,4346,4016,11020,11398,11569,11603,11614,12770,3721,3829,10936,10939,11032,11204,4820,12024,4821,10776,10889,12635,12644,12688,12888,4444,11161,12653,12668,4352,4047,3992,4818,10606,10609,10978,10981,11891,12088,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887,7913,7914,7945,7947,7948,7949,7954,7975,7992,7997,8003,8005,8013,8025,8026,8028,8049,8055,8076,8144,8145,8146,8194,8200,8201,8224,8225,8242,8243,8244,8301,8302,8331,8360,8370,8384,8397,8426,8430,8436,8448,8466,8471,8493,8538,8568,8582,8601,8604,8630,8657,8714,8715,8718,8719,8787,8821,8822,8823,8824,8851,8883,8912,8920,8921,8962,8983,9028,9044,9090,9093,9108,9115,9158,9201,9202,9220,9221,9235,9352,9358,9362,9382,9393,9416,9418,9421,9427,9429,9430,9440,9441,9460,9468,9478,9485,9527,9545,9600,9601,9607,9646,9671,9676,9715,9725,9728,9729,9731,9732,9744,9768,9783,9792,9793,9795,9797,9826,9946,9947,9997,9998,10037,10073,10184])). % 199.58/199.93 cnf(12941,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x129411),x129411))), % 199.58/199.93 inference(rename_variables,[],[4794])). % 199.58/199.93 cnf(12944,plain, % 199.58/199.93 (P108(f330(f330(f332(x129441),x129442),f245(f935(x129441,a923))))), % 199.58/199.93 inference(rename_variables,[],[3720])). % 199.58/199.93 cnf(12952,plain, % 199.58/199.93 (P108(f330(f330(f238(f935(x129521,a923)),x129522),x129522))), % 199.58/199.93 inference(rename_variables,[],[3863])). % 199.58/199.93 cnf(12955,plain, % 199.58/199.93 (~P108(f330(f330(f332(x129551),x129552),f191(f935(x129551,a923))))), % 199.58/199.93 inference(rename_variables,[],[4807])). % 199.58/199.93 cnf(12958,plain, % 199.58/199.93 (P108(f330(f330(f238(a1),f2(a1)),f330(f330(f247(a1),f330(f77(a1),x129581)),x129582)))), % 199.58/199.93 inference(rename_variables,[],[4047])). % 199.58/199.93 cnf(12961,plain, % 199.58/199.93 (E(f32(x129611,x129612,x129613,x129614,x129615,x129616,x129617,x129618,x129619,a25),x129612)), % 199.58/199.93 inference(rename_variables,[],[4719])). % 199.58/199.93 cnf(12963,plain, % 199.58/199.93 (E(f32(x129631,x129632,x129633,x129634,x129635,x129636,x129637,x129638,x129639,a25),x129632)), % 199.58/199.93 inference(rename_variables,[],[4719])). % 199.58/199.93 cnf(12965,plain, % 199.58/199.93 (P24(x129651,x129652,f191(f935(f927(x129651),a923)))), % 199.58/199.93 inference(rename_variables,[],[3622])). % 199.58/199.93 cnf(12970,plain, % 199.58/199.93 (E(f32(x129701,x129702,x129703,x129704,x129705,x129706,x129707,x129708,x129709,a25),x129702)), % 199.58/199.93 inference(rename_variables,[],[4719])). % 199.58/199.93 cnf(12977,plain, % 199.58/199.93 (P57(x129771,x129771,f266(x129771,x129772))), % 199.58/199.93 inference(rename_variables,[],[3538])). % 199.58/199.93 cnf(12985,plain, % 199.58/199.93 (E(f32(x129851,x129852,x129853,x129854,x129855,x129856,x129857,x129858,x129859,a25),x129852)), % 199.58/199.93 inference(rename_variables,[],[4719])). % 199.58/199.93 cnf(12991,plain, % 199.58/199.93 (E(f32(x129911,x129912,x129913,x129914,x129915,x129916,x129917,x129918,x129919,a25),x129912)), % 199.58/199.93 inference(rename_variables,[],[4719])). % 199.58/199.93 cnf(12993,plain, % 199.58/199.93 (E(f32(x129931,x129932,x129933,x129934,x129935,x129936,x129937,x129938,x129939,a25),x129932)), % 199.58/199.93 inference(rename_variables,[],[4719])). % 199.58/199.93 cnf(12995,plain, % 199.58/199.93 (E(f32(x129951,x129952,x129953,x129954,x129955,x129956,x129957,x129958,x129959,a25),x129952)), % 199.58/199.93 inference(rename_variables,[],[4719])). % 199.58/199.93 cnf(12997,plain, % 199.58/199.93 (P14(x129971,f935(x129971,a923),f312(x129971))), % 199.58/199.93 inference(rename_variables,[],[3541])). % 199.58/199.93 cnf(13001,plain, % 199.58/199.93 (P40(x130011,f266(x130011,x130012))), % 199.58/199.93 inference(rename_variables,[],[3437])). % 199.58/199.93 cnf(13005,plain, % 199.58/199.93 (P26(x130051,x130051,f33(x130051),x130052,x130052)), % 199.58/199.93 inference(rename_variables,[],[4229])). % 199.58/199.93 cnf(13007,plain, % 199.58/199.93 (P26(x130071,x130071,f33(x130071),x130072,x130072)), % 199.58/199.93 inference(rename_variables,[],[4229])). % 199.58/199.93 cnf(13009,plain, % 199.58/199.93 (P26(x130091,x130091,f33(x130091),x130092,x130092)), % 199.58/199.93 inference(rename_variables,[],[4229])). % 199.58/199.93 cnf(13017,plain, % 199.58/199.93 (P34(x130171,x130172,f116(x130171),f116(x130171))), % 199.58/199.93 inference(rename_variables,[],[3813])). % 199.58/199.93 cnf(13019,plain, % 199.58/199.93 (P34(x130191,x130192,f116(x130191),f116(x130191))), % 199.58/199.93 inference(rename_variables,[],[3813])). % 199.58/199.93 cnf(13023,plain, % 199.58/199.93 (E(f32(x130231,x130232,x130233,x130234,x130235,x130236,x130237,x130238,x130239,a25),x130232)), % 199.58/199.93 inference(rename_variables,[],[4719])). % 199.58/199.93 cnf(13029,plain, % 199.58/199.93 (P39(x130291,f156(x130291,x130292))), % 199.58/199.93 inference(rename_variables,[],[3436])). % 199.58/199.93 cnf(13033,plain, % 199.58/199.93 (E(f32(x130331,x130332,x130333,x130334,x130335,x130336,x130337,x130338,x130339,a25),x130332)), % 199.58/199.93 inference(rename_variables,[],[4719])). % 199.58/199.93 cnf(13035,plain, % 199.58/199.93 (P25(x130351,x130351,f5(x130351),x130352)), % 199.58/199.93 inference(rename_variables,[],[3804])). % 199.58/199.93 cnf(13037,plain, % 199.58/199.93 (P25(x130371,x130371,f5(x130371),x130372)), % 199.58/199.93 inference(rename_variables,[],[3804])). % 199.58/199.93 cnf(13045,plain, % 199.58/199.93 (E(f191(f935(f934(x130451,x130451),a923)),f266(x130451,f191(f935(x130451,a923))))), % 199.58/199.93 inference(rename_variables,[],[3638])). % 199.58/199.93 cnf(13047,plain, % 199.58/199.93 (P55(x130471,x130472,f266(x130471,x130472))), % 199.58/199.93 inference(rename_variables,[],[3537])). % 199.58/199.93 cnf(13049,plain, % 199.58/199.93 (P55(x130491,x130492,f266(x130491,x130492))), % 199.58/199.93 inference(rename_variables,[],[3537])). % 199.58/199.93 cnf(13051,plain, % 199.58/199.93 (P55(x130511,x130512,f266(x130511,x130512))), % 199.58/199.93 inference(rename_variables,[],[3537])). % 199.58/199.93 cnf(13053,plain, % 199.58/199.93 (E(f32(x130531,x130532,x130533,x130534,x130535,x130536,x130537,x130538,x130539,a25),x130532)), % 199.58/199.93 inference(rename_variables,[],[4719])). % 199.58/199.93 cnf(13057,plain, % 199.58/199.93 (P58(x130571,f191(f935(x130571,a923)),x130572)), % 199.58/199.93 inference(rename_variables,[],[3586])). % 199.58/199.93 cnf(13064,plain, % 199.58/199.93 (P54(x130641,f266(x130641,x130642))), % 199.58/199.93 inference(rename_variables,[],[3440])). % 199.58/199.93 cnf(13075,plain, % 199.58/199.93 (P44(x130751,x130752,x130753,x130754,f191(f935(x130751,a923)),x130754)), % 199.58/199.93 inference(rename_variables,[],[4506])). % 199.58/199.93 cnf(13086,plain, % 199.58/199.93 (E(f32(x130861,x130862,x130863,x130864,x130865,x130866,x130867,x130868,x130869,a25),x130862)), % 199.58/199.93 inference(rename_variables,[],[4719])). % 199.58/199.93 cnf(13093,plain, % 199.58/199.93 (E(f191(f935(f934(x130931,x130931),a923)),f266(x130931,f191(f935(x130931,a923))))), % 199.58/199.93 inference(rename_variables,[],[3638])). % 199.58/199.93 cnf(13102,plain, % 199.58/199.93 (E(f32(x131021,x131022,x131023,x131024,x131025,x131026,x131027,x131028,x131029,a25),x131022)), % 199.58/199.93 inference(rename_variables,[],[4719])). % 199.58/199.93 cnf(13114,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x131141),f2(a928)))), % 199.58/199.93 inference(rename_variables,[],[4798])). % 199.58/199.93 cnf(13123,plain, % 199.58/199.93 (~P108(f330(f330(f239(a1),f330(f103(a1),x131231)),f330(f81(a1),f330(f103(a1),x131232))))), % 199.58/199.93 inference(rename_variables,[],[4816])). % 199.58/199.93 cnf(13133,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x131331),f2(a928)))), % 199.58/199.93 inference(rename_variables,[],[4798])). % 199.58/199.93 cnf(13136,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x131361),f2(a928)))), % 199.58/199.93 inference(rename_variables,[],[4798])). % 199.58/199.93 cnf(13139,plain, % 199.58/199.93 (P108(f330(f62(a928),f308(a928,x131391,x131392)))), % 199.58/199.93 inference(rename_variables,[],[3774])). % 199.58/199.93 cnf(13142,plain, % 199.58/199.93 (P108(f330(f62(a928),f308(a928,x131421,x131422)))), % 199.58/199.93 inference(rename_variables,[],[3774])). % 199.58/199.93 cnf(13145,plain, % 199.58/199.93 (P108(f330(f62(a928),f308(a928,x131451,x131452)))), % 199.58/199.93 inference(rename_variables,[],[3774])). % 199.58/199.93 cnf(13148,plain, % 199.58/199.93 (P108(f330(f62(a928),f308(a928,x131481,x131482)))), % 199.58/199.93 inference(rename_variables,[],[3774])). % 199.58/199.93 cnf(13155,plain, % 199.58/199.93 (P108(f330(f330(f238(a1),f330(f81(a1),f330(f103(a1),x131551))),f330(f103(a1),x131552)))), % 199.58/199.93 inference(rename_variables,[],[4048])). % 199.58/199.93 cnf(13160,plain, % 199.58/199.93 (~P108(f330(f330(f239(a928),x131601),f2(a928)))), % 199.58/199.93 inference(rename_variables,[],[4798])). % 199.58/199.93 cnf(13161,plain, % 199.58/199.93 (P108(f330(f330(f238(a928),x131611),x131611))), % 199.58/199.93 inference(rename_variables,[],[3567])). % 199.58/199.93 cnf(13168,plain, % 199.58/199.93 (P108(f330(f330(f239(a928),x131681),f330(a115,x131681)))), % 199.58/199.93 inference(rename_variables,[],[3635])). % 199.58/199.93 cnf(13172,plain, % 199.58/199.93 (~P108(f330(f330(f239(a1),f2(a1)),f330(f106(a1),f2(a1))))), % 199.58/199.94 inference(scs_inference,[],[4828,4229,12853,12875,13005,13007,3804,11450,12523,12626,12629,12721,12763,12767,12775,12847,13035,3813,12593,13017,13019,3822,3537,13047,13049,13051,3538,12977,3504,12929,4768,4769,12107,4506,13075,3541,12997,3378,3436,13029,3437,13001,3438,3439,3440,12803,13064,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,12497,12697,12907,12961,12963,12970,12985,12991,12993,12995,13023,13033,13053,13086,3865,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,12589,12756,3623,3586,13057,3772,12283,4745,10757,10857,11330,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3192,3201,3207,3210,3213,3222,3223,3230,3239,3240,3242,3247,3253,3289,3293,3294,3298,3301,3309,3316,3323,3325,3328,3329,3335,3336,3351,4730,3360,3435,4731,3904,4134,3549,3608,3525,3528,3499,12788,12792,12796,3514,4026,4334,3634,12850,12932,3401,4120,11785,3622,12965,3465,3398,3426,3884,3421,3620,4238,4128,3947,4706,3409,3410,3382,3388,4038,3446,3624,11173,11300,12590,12807,3498,4203,4758,10584,10754,11641,12748,12789,12793,4765,12760,3558,12127,4161,4805,11356,11455,11693,11696,3966,3671,3890,4783,3638,13045,13093,3462,10657,10987,3463,3725,3454,3379,3484,11775,4348,12778,12919,4205,11376,11511,11572,12732,12738,12864,12867,12897,4823,11275,11524,11635,11661,11701,11707,12676,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,12632,12673,12759,3931,3713,4620,4621,3785,4756,11768,3908,3866,3910,4469,4083,4130,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,12564,12901,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,12679,12782,13114,13133,13136,4811,11894,11927,11964,11971,12007,4006,3773,3774,13139,13142,13145,4153,3594,3596,3570,4795,3461,4753,3957,4270,3757,4812,4341,11658,3889,3607,12149,12152,12597,12701,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,12219,4310,4269,12300,12647,4214,11170,12482,12657,4264,11379,12520,12596,12656,12700,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,12542,12812,12874,12894,12904,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,12640,12704,12823,12870,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,3569,12567,3643,12512,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,12611,12707,12710,12816,12856,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,12755,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,12538,12685,12729,12735,12835,12838,12860,12918,12924,12935,3628,10984,11014,11023,11026,11029,11627,12857,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,3588,11017,11178,11248,12063,12212,12410,12616,4048,12155,4389,3779,4801,4059,4095,4786,4789,4790,3544,3548,4788,4787,3879,4484,4817,10883,10886,4822,11365,11368,11560,11671,11688,11730,4171,11727,12083,12087,12766,12774,4014,11291,11297,11317,12332,12462,12541,3863,11435,11563,12573,12682,12692,12771,12826,12834,4346,4016,11020,11398,11569,11603,11614,12770,3721,3829,10936,10939,11032,11204,3831,4820,12024,4816,13123,4821,10776,10889,12635,12644,12688,12888,12891,4444,11161,12653,12668,4352,4047,3992,3993,4818,10606,10609,10978,10981,11891,12088,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,64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% 199.58/199.94 cnf(13175,plain, % 199.58/199.94 (P108(f330(f330(f238(a1),x131751),x131751))), % 199.58/199.94 inference(rename_variables,[],[3568])). % 199.58/199.94 cnf(13178,plain, % 199.58/199.94 (P108(f330(f62(a928),f308(a928,x131781,x131782)))), % 199.58/199.94 inference(rename_variables,[],[3774])). % 199.58/199.94 cnf(13181,plain, % 199.58/199.94 (P108(f330(f62(a928),f308(a928,x131811,x131812)))), % 199.58/199.94 inference(rename_variables,[],[3774])). % 199.58/199.94 cnf(13184,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),x131841),x131841))), % 199.58/199.94 inference(rename_variables,[],[3567])). % 199.58/199.94 cnf(13201,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),f46(a928,x132011,x132012)),x132011))), % 199.58/199.94 inference(rename_variables,[],[4024])). % 199.58/199.94 cnf(13206,plain, % 199.58/199.94 (P108(f330(f330(f239(a928),x132061),f330(a115,x132061)))), % 199.58/199.94 inference(rename_variables,[],[3635])). % 199.58/199.94 cnf(13209,plain, % 199.58/199.94 (P108(f330(f330(f239(a928),x132091),f330(a115,x132091)))), % 199.58/199.94 inference(rename_variables,[],[3635])). % 199.58/199.94 cnf(13210,plain, % 199.58/199.94 (~P108(f330(f330(f239(a928),x132101),f2(a928)))), % 199.58/199.94 inference(rename_variables,[],[4798])). % 199.58/199.94 cnf(13219,plain, % 199.58/199.94 (~P108(f330(f330(f239(a1),f330(f103(a1),x132191)),f2(a1)))), % 199.58/199.94 inference(rename_variables,[],[4811])). % 199.58/199.94 cnf(13220,plain, % 199.58/199.94 (P108(f330(f245(f935(x132201,a923)),x132202))), % 199.58/199.94 inference(rename_variables,[],[3628])). % 199.58/199.94 cnf(13223,plain, % 199.58/199.94 (~P108(f330(f330(f239(a1),f330(f103(a1),x132231)),f2(a1)))), % 199.58/199.94 inference(rename_variables,[],[4811])). % 199.58/199.94 cnf(13224,plain, % 199.58/199.94 (P108(f330(f245(f935(x132241,a923)),x132242))), % 199.58/199.94 inference(rename_variables,[],[3628])). % 199.58/199.94 cnf(13227,plain, % 199.58/199.94 (P108(f330(f245(f935(x132271,a923)),x132272))), % 199.58/199.94 inference(rename_variables,[],[3628])). % 199.58/199.94 cnf(13230,plain, % 199.58/199.94 (P108(f330(f245(f935(x132301,a923)),x132302))), % 199.58/199.94 inference(rename_variables,[],[3628])). % 199.58/199.94 cnf(13238,plain, % 199.58/199.94 (~P108(f330(f330(f332(x132381),x132382),f191(f935(x132381,a923))))), % 199.58/199.94 inference(rename_variables,[],[4807])). % 199.58/199.94 cnf(13239,plain, % 199.58/199.94 (P108(f330(f62(x132391),f191(f935(x132391,a923))))), % 199.58/199.94 inference(rename_variables,[],[3643])). % 199.58/199.94 cnf(13242,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),x132421),x132421))), % 199.58/199.94 inference(rename_variables,[],[3567])). % 199.58/199.94 cnf(13244,plain, % 199.58/199.94 (~P108(f330(f330(f238(a1),f330(f106(a1),a85)),f330(f106(a1),a100)))), % 199.58/199.94 inference(scs_inference,[],[4828,4229,12853,12875,13005,13007,3804,11450,12523,12626,12629,12721,12763,12767,12775,12847,13035,3813,12593,13017,13019,3822,3537,13047,13049,13051,3538,12977,3504,12929,4768,4769,12107,4506,13075,3541,12997,3378,3436,13029,3437,13001,3438,3439,3440,12803,13064,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,12497,12697,12907,12961,12963,12970,12985,12991,12993,12995,13023,13033,13053,13086,3865,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,12589,12756,3623,3586,13057,3772,12283,4745,10757,10857,11330,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3192,3195,3201,3207,3210,3213,3222,3223,3230,3239,3240,3242,3247,3253,3289,3293,3294,3298,3301,3309,3313,3316,3323,3325,3328,3329,3335,3336,3351,3355,4730,3360,3435,4731,3904,4134,3549,3608,3525,3528,3499,12788,12792,12796,3514,4026,4334,3634,12850,12932,3401,4120,11785,3622,12965,3465,3398,3426,3884,3421,3620,4238,4128,3947,4706,3409,3410,3382,3388,4038,3446,3624,11173,11300,12590,12807,3498,4203,4758,10584,10754,11641,12748,12789,12793,4765,12760,3558,12127,4161,4805,11356,11455,11693,11696,3966,3671,3890,4783,3638,13045,13093,3462,10657,10987,3463,3725,3454,3379,3484,11775,4348,12778,12919,4205,11376,11511,11572,12732,12738,12864,12867,12897,4823,11275,11524,11635,11661,11701,11707,12676,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,12632,12673,12759,3931,3713,4620,4621,3785,4756,11768,3908,3866,3910,4469,4083,4130,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,12564,12901,13168,13206,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,12679,12782,13114,13133,13136,13160,4811,11894,11927,11964,11971,12007,13219,4006,3773,3774,13139,13142,13145,13148,13178,4153,3594,3596,3570,4795,3461,4753,3957,4270,3757,4812,4341,11658,3889,3607,12149,12152,12597,12701,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,12219,4310,4269,12300,12647,4214,11170,12482,12657,4264,11379,12520,12596,12656,12700,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,12542,12812,12874,12894,12904,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,12640,12704,12823,12870,13161,13184,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,12405,3569,12567,3643,12512,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,12611,12707,12710,12816,12856,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,12755,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,12538,12685,12729,12735,12835,12838,12860,12918,12924,12935,12955,3628,10984,11014,11023,11026,11029,11627,12857,12871,13220,13224,13227,3667,3660,4087,4024,10636,12030,12062,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,3588,11017,11178,11248,12063,12212,12410,12616,4048,12155,4389,3779,4801,4059,4095,4786,4789,4790,3544,3548,4788,4787,3879,4484,4817,10883,10886,4822,11365,11368,11560,11671,11688,11730,4171,11727,12083,12087,12766,12774,4014,11291,11297,11317,12332,12462,12541,3863,11435,11563,12573,12682,12692,12771,12826,12834,4346,4016,11020,11398,11569,11603,11614,12770,3721,3829,10936,10939,11032,11204,3831,4820,12024,4816,13123,4821,10776,10889,12635,12644,12688,12888,12891,4444,11161,12653,12668,4352,4047,12958,3992,3993,4818,10606,10609,10978,10981,11891,12088,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,62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% 199.58/199.94 cnf(13251,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),f2(a928)),x132511))), % 199.58/199.94 inference(rename_variables,[],[3588])). % 199.58/199.94 cnf(13254,plain, % 199.58/199.94 (~P108(f330(f330(f332(x132541),x132542),f191(f935(x132541,a923))))), % 199.58/199.94 inference(rename_variables,[],[4807])). % 199.58/199.94 cnf(13257,plain, % 199.58/199.94 (~P108(f330(f330(f332(x132571),x132572),f191(f935(x132571,a923))))), % 199.58/199.94 inference(rename_variables,[],[4807])). % 199.58/199.94 cnf(13260,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),x132601),x132601))), % 199.58/199.94 inference(rename_variables,[],[3567])). % 199.58/199.94 cnf(13268,plain, % 199.58/199.94 (P108(f330(f330(f239(a928),x132681),f330(a115,x132681)))), % 199.58/199.94 inference(rename_variables,[],[3635])). % 199.58/199.94 cnf(13271,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),x132711),x132711))), % 199.58/199.94 inference(rename_variables,[],[3567])). % 199.58/199.94 cnf(13276,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),x132761),x132761))), % 199.58/199.94 inference(rename_variables,[],[3567])). % 199.58/199.94 cnf(13279,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),x132791),x132791))), % 199.58/199.94 inference(rename_variables,[],[3567])). % 199.58/199.94 cnf(13282,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),x132821),x132821))), % 199.58/199.94 inference(rename_variables,[],[3567])). % 199.58/199.94 cnf(13285,plain, % 199.58/199.94 (E(f330(f330(f23(f935(x132851,a923)),f191(f935(x132851,a923))),x132852),f191(f935(x132851,a923)))), % 199.58/199.94 inference(rename_variables,[],[3833])). % 199.58/199.94 cnf(13286,plain, % 199.58/199.94 (P108(f330(f62(x132861),f191(f935(x132861,a923))))), % 199.58/199.94 inference(rename_variables,[],[3643])). % 199.58/199.94 cnf(13289,plain, % 199.58/199.94 (E(f330(f330(f23(f935(x132891,a923)),f191(f935(x132891,a923))),x132892),f191(f935(x132891,a923)))), % 199.58/199.94 inference(rename_variables,[],[3833])). % 199.58/199.94 cnf(13290,plain, % 199.58/199.94 (P108(f330(f62(x132901),f191(f935(x132901,a923))))), % 199.58/199.94 inference(rename_variables,[],[3643])). % 199.58/199.94 cnf(13293,plain, % 199.58/199.94 (E(f330(f330(f23(f935(x132931,a923)),f191(f935(x132931,a923))),x132932),f191(f935(x132931,a923)))), % 199.58/199.94 inference(rename_variables,[],[3833])). % 199.58/199.94 cnf(13294,plain, % 199.58/199.94 (P108(f330(f62(x132941),f191(f935(x132941,a923))))), % 199.58/199.94 inference(rename_variables,[],[3643])). % 199.58/199.94 cnf(13297,plain, % 199.58/199.94 (E(f330(f330(f23(f935(x132971,a923)),f191(f935(x132971,a923))),x132972),f191(f935(x132971,a923)))), % 199.58/199.94 inference(rename_variables,[],[3833])). % 199.58/199.94 cnf(13298,plain, % 199.58/199.94 (P108(f330(f62(x132981),f191(f935(x132981,a923))))), % 199.58/199.94 inference(rename_variables,[],[3643])). % 199.58/199.94 cnf(13302,plain, % 199.58/199.94 (E(f32(x133021,x133022,x133023,x133024,x133025,x133026,x133027,x133028,x133029,a25),x133022)), % 199.58/199.94 inference(rename_variables,[],[4719])). % 199.58/199.94 cnf(13307,plain, % 199.58/199.94 (E(f330(f330(f23(f935(x133071,a923)),f191(f935(x133071,a923))),x133072),f191(f935(x133071,a923)))), % 199.58/199.94 inference(rename_variables,[],[3833])). % 199.58/199.94 cnf(13308,plain, % 199.58/199.94 (P108(f330(f62(x133081),f191(f935(x133081,a923))))), % 199.58/199.94 inference(rename_variables,[],[3643])). % 199.58/199.94 cnf(13312,plain, % 199.58/199.94 (P108(f330(f62(x133121),f191(f935(x133121,a923))))), % 199.58/199.94 inference(rename_variables,[],[3643])). % 199.58/199.94 cnf(13315,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),x133151),x133151))), % 199.58/199.94 inference(rename_variables,[],[3567])). % 199.58/199.94 cnf(13319,plain, % 199.58/199.94 (P108(f330(f330(f238(a1),x133191),x133191))), % 199.58/199.94 inference(rename_variables,[],[3568])). % 199.58/199.94 cnf(13326,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),x133261),x133261))), % 199.58/199.94 inference(rename_variables,[],[3567])). % 199.58/199.94 cnf(13339,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),x133391),x133391))), % 199.58/199.94 inference(rename_variables,[],[3567])). % 199.58/199.94 cnf(13342,plain, % 199.58/199.94 (P108(f330(f330(f238(a1),x133421),x133421))), % 199.58/199.94 inference(rename_variables,[],[3568])). % 199.58/199.94 cnf(13351,plain, % 199.58/199.94 (~P108(f330(f330(f332(x133511),x133512),f191(f935(x133511,a923))))), % 199.58/199.94 inference(rename_variables,[],[4807])). % 199.58/199.94 cnf(13353,plain, % 199.58/199.94 (~P108(f330(f330(f238(a928),f330(f330(f82(a928),f330(a115,x133531)),x133532)),x133532))), % 199.58/199.94 inference(scs_inference,[],[4828,4229,12853,12875,13005,13007,3804,11450,12523,12626,12629,12721,12763,12767,12775,12847,13035,3813,12593,13017,13019,3822,3537,13047,13049,13051,3538,12977,3504,12929,4768,4769,12107,4506,13075,3541,12997,3378,3436,13029,3437,13001,3438,3439,3440,12803,13064,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,12497,12697,12907,12961,12963,12970,12985,12991,12993,12995,13023,13033,13053,13086,13102,3865,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,12589,12756,3623,3586,13057,3772,12283,4745,10757,10857,11330,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3192,3195,3201,3207,3210,3213,3222,3223,3230,3236,3239,3240,3242,3247,3253,3264,3268,3269,3270,3282,3289,3290,3293,3294,3298,3301,3302,3309,3313,3316,3323,3324,3325,3328,3329,3335,3336,3351,3355,4730,3360,3435,4731,3904,4134,3549,3608,3525,3528,3499,12788,12792,12796,3514,4026,4334,3634,12850,12932,3401,4120,11785,3622,12965,3465,3398,3426,3884,3421,3620,4238,4128,3947,4706,3409,3410,3382,3388,4038,3446,3624,11173,11300,12590,12807,3498,4203,4758,10584,10754,11641,12748,12789,12793,4765,12760,3558,12127,4161,4805,11356,11455,11693,11696,3966,3671,3890,4783,3638,13045,13093,3462,10657,10987,3463,3725,3454,3379,3484,11775,4348,12778,12919,4205,11376,11511,11572,12732,12738,12864,12867,12897,4823,11275,11524,11635,11661,11701,11707,12676,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,12632,12673,12759,3931,3713,4620,4621,3785,4756,11768,3908,3866,3910,4469,4083,3833,13285,13289,13293,13297,13307,4130,12623,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,12564,12901,13168,13206,13209,13268,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,12679,12782,13114,13133,13136,13160,4811,11894,11927,11964,11971,12007,13219,13223,4006,3773,3774,13139,13142,13145,13148,13178,4153,3594,3596,3570,4795,3461,4753,3957,4270,3757,4812,4341,11658,3889,3607,12149,12152,12597,12701,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,12219,4310,4269,12300,12647,4214,11170,12482,12657,4264,11379,12520,12596,12656,12700,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,12542,12812,12874,12894,12904,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,12640,12704,12823,12870,13161,13184,13242,13260,13271,13276,13279,13282,13315,13326,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,12405,13175,13319,3569,12567,12570,3643,12512,13239,13286,13290,13294,13298,13308,13312,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,12611,12707,12710,12816,12856,12941,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,12755,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,12538,12685,12729,12735,12835,12838,12860,12918,12924,12935,12955,13238,13254,13257,3628,10984,11014,11023,11026,11029,11627,12857,12871,13220,13224,13227,3667,3660,4087,4024,10636,12030,12062,13201,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,3588,11017,11178,11248,12063,12212,12410,12616,12641,4048,12155,13155,4389,3779,4801,4059,4095,4786,4789,4790,3544,3548,4788,4787,3879,4484,4817,10883,10886,4822,11365,11368,11560,11671,11688,11730,4171,11727,12083,12087,12766,12774,4014,11291,11297,11317,12332,12462,12541,3863,11435,11563,12573,12682,12692,12771,12826,12834,4346,4016,11020,11398,11569,11603,11614,12770,3721,3829,10936,10939,11032,11204,3831,4820,12024,4816,13123,4821,10776,10889,12635,12644,12688,12888,12891,4444,11161,12653,12668,4352,4047,12958,3992,3993,4818,10606,10609,10978,10981,11891,12088,12900,4819,12004,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887,7913,7914,7945,7947,7948,7949,7954,7975,7992,7997,8003,8005,8013,8025,8026,8028,8049,8055,8076,8144,8145,8146,8194,8200,8201,8224,8225,8242,8243,8244,8301,8302,8331,8360,8370,8384,8397,8426,8430,8436,8448,8466,8471,8493,8538,8568,8582,8601,8604,8630,8657,8714,8715,8718,8719,8787,8821,8822,8823,8824,8851,8883,8912,8920,8921,8962,8983,9028,9044,9090,9093,9108,9115,9158,9201,9202,9220,9221,9235,9352,9358,9362,9382,9393,9416,9418,9421,9427,9429,9430,9440,9441,9460,9468,9478,9485,9527,9545,9600,9601,9607,9646,9671,9676,9715,9725,9728,9729,9731,9732,9744,9768,9783,9792,9793,9795,9797,9826,9946,9947,9997,9998,10037,10073,10184,10243,10307,10394,10412,10417,3,2893,2894,2895,2896,2898,2900,2902,2904,2905,2906,2907,2908,2909,2920,2921,2922,2923,2924,2925,2926,2927,2934,2936,2939,2940,2943,2944,2945,2946,2947,2953,2954,2955,2957,2959,2960,2963,2964,2965,2967,2968,2971,2972,2974,2991,2992,2993,2994,3011,3013,3014,3015,3016,3024,3031,3034,3035,3040,3041,3045,3046,3047,3065,3072,3073,3097,3100,3101,3102,3103,3104,3105,3106,3108,3126,3127,3128,3129,3131,3132,3146,3147,3149,3155,3156,5545,5584,5731,5732,5733,5815,5913,5943,5977,5993,5995,6001,6063,6064,6065,6066,6074,6109,6246,6283,6293,6318,6353,6390,6537,6542,6580,6581,6604,6606,6608,6615,6616,6617,6618,6619,6620,6621,6622,6704,6775,6776,6862,6897,6898,6937,6938,7075,7089,7145,7162,7163,7170,7192,7223,7225,7271,7293,7294,7312,7313,7350,7395,7396,7495,7564,7565,7566,7567,7582,7614,7664,7665,7674,7679,7680,7691,7722,7723,7724,7725,7868,7869,7871,7873,7879,7880,8082,8085,8091])). % 199.58/199.94 cnf(13362,plain, % 199.58/199.94 (P108(f330(f330(f332(x133621),x133622),f245(f935(x133621,a923))))), % 199.58/199.94 inference(rename_variables,[],[3720])). % 199.58/199.94 cnf(13363,plain, % 199.58/199.94 (E(f330(f195(x133631,x133632),x133633),f124(x133631,x133632))), % 199.58/199.94 inference(rename_variables,[],[3482])). % 199.58/199.94 cnf(13365,plain, % 199.58/199.94 (~P25(f929(x133651),x133652,f195(x133653,x133654),f164(x133651,f245(f935(x133651,a923))))), % 199.58/199.94 inference(scs_inference,[],[4828,4229,12853,12875,13005,13007,3804,11450,12523,12626,12629,12721,12763,12767,12775,12847,13035,3813,12593,13017,13019,3822,3537,13047,13049,13051,3538,12977,3504,12929,4768,4769,12107,4506,13075,3541,12997,3378,3436,13029,3437,13001,3438,3439,3440,12803,13064,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,12497,12697,12907,12961,12963,12970,12985,12991,12993,12995,13023,13033,13053,13086,13102,3865,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,12589,12756,3623,3586,13057,3772,12283,4745,10757,10857,11330,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3192,3195,3201,3207,3210,3213,3222,3223,3230,3236,3239,3240,3242,3247,3253,3264,3268,3269,3270,3282,3289,3290,3293,3294,3298,3301,3302,3309,3313,3316,3323,3324,3325,3328,3329,3335,3336,3351,3355,4730,3360,3435,4731,3904,4134,3549,3608,3525,3528,3499,12788,12792,12796,3514,4026,4334,3482,13363,3634,12850,12932,3401,4120,11785,3622,12965,3465,3398,3426,3884,3421,3620,4238,4128,3947,4706,3409,3410,3382,3388,4038,3446,3624,11173,11300,12590,12807,3498,4203,4758,10584,10754,11641,12748,12789,12793,4765,12760,3558,12127,4161,4805,11356,11455,11693,11696,3966,3671,3890,4783,3638,13045,13093,3462,10657,10987,3463,3725,3454,3379,3484,11775,4348,12778,12919,4205,11376,11511,11572,12732,12738,12864,12867,12897,4823,11275,11524,11635,11661,11701,11707,12676,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,12632,12673,12759,3931,3713,4620,4621,3785,4756,11768,3908,3866,3910,4469,4083,3833,13285,13289,13293,13297,13307,4130,12623,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,12564,12901,13168,13206,13209,13268,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,12679,12782,13114,13133,13136,13160,4811,11894,11927,11964,11971,12007,13219,13223,4006,3773,3774,13139,13142,13145,13148,13178,4153,3594,3596,3570,4795,3461,4753,3957,4270,3757,4812,4341,11658,3889,3607,12149,12152,12597,12701,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,12219,4310,4269,12300,12647,4214,11170,12482,12657,4264,11379,12520,12596,12656,12700,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,12542,12812,12874,12894,12904,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,12640,12704,12823,12870,13161,13184,13242,13260,13271,13276,13279,13282,13315,13326,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,12405,13175,13319,3569,12567,12570,3643,12512,13239,13286,13290,13294,13298,13308,13312,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,12611,12707,12710,12816,12856,12941,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,12755,12944,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,12538,12685,12729,12735,12835,12838,12860,12918,12924,12935,12955,13238,13254,13257,3628,10984,11014,11023,11026,11029,11627,12857,12871,13220,13224,13227,3667,3660,4087,4024,10636,12030,12062,13201,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,3588,11017,11178,11248,12063,12212,12410,12616,12641,4048,12155,13155,4389,3779,4801,4059,4095,4786,4789,4790,3544,3548,4788,4787,3879,4484,4817,10883,10886,4822,11365,11368,11560,11671,11688,11730,4171,11727,12083,12087,12766,12774,4014,11291,11297,11317,12332,12462,12541,3863,11435,11563,12573,12682,12692,12771,12826,12834,4346,4016,11020,11398,11569,11603,11614,12770,3721,3829,10936,10939,11032,11204,3831,4820,12024,4816,13123,4821,10776,10889,12635,12644,12688,12888,12891,4444,11161,12653,12668,4352,4047,12958,3992,3993,4818,10606,10609,10978,10981,11891,12088,12900,4819,12004,12093,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887,7913,7914,7945,7947,7948,7949,7954,7975,7992,7997,8003,8005,8013,8025,8026,8028,8049,8055,8076,8144,8145,8146,8194,8200,8201,8224,8225,8242,8243,8244,8301,8302,8331,8360,8370,8384,8397,8426,8430,8436,8448,8466,8471,8493,8538,8568,8582,8601,8604,8630,8657,8714,8715,8718,8719,8787,8821,8822,8823,8824,8851,8883,8912,8920,8921,8962,8983,9028,9044,9090,9093,9108,9115,9158,9201,9202,9220,9221,9235,9352,9358,9362,9382,9393,9416,9418,9421,9427,9429,9430,9440,9441,9460,9468,9478,9485,9527,9545,9600,9601,9607,9646,9671,9676,9715,9725,9728,9729,9731,9732,9744,9768,9783,9792,9793,9795,9797,9826,9946,9947,9997,9998,10037,10073,10184,10243,10307,10394,10412,10417,3,2893,2894,2895,2896,2898,2900,2902,2904,2905,2906,2907,2908,2909,2920,2921,2922,2923,2924,2925,2926,2927,2934,2936,2939,2940,2943,2944,2945,2946,2947,2953,2954,2955,2957,2959,2960,2963,2964,2965,2967,2968,2971,2972,2974,2991,2992,2993,2994,3011,3013,3014,3015,3016,3024,3031,3034,3035,3040,3041,3045,3046,3047,3065,3072,3073,3097,3100,3101,3102,3103,3104,3105,3106,3108,3126,3127,3128,3129,3131,3132,3146,3147,3149,3155,3156,5545,5584,5731,5732,5733,5815,5913,5943,5977,5993,5995,6001,6063,6064,6065,6066,6074,6109,6246,6283,6293,6318,6353,6390,6537,6542,6580,6581,6604,6606,6608,6615,6616,6617,6618,6619,6620,6621,6622,6704,6775,6776,6862,6897,6898,6937,6938,7075,7089,7145,7162,7163,7170,7192,7223,7225,7271,7293,7294,7312,7313,7350,7395,7396,7495,7564,7565,7566,7567,7582,7614,7664,7665,7674,7679,7680,7691,7722,7723,7724,7725,7868,7869,7871,7873,7879,7880,8082,8085,8091,8092,8103,8141,8142])). % 199.58/199.94 cnf(13369,plain, % 199.58/199.94 (P108(f330(f330(f238(f935(x133691,a923)),x133692),f245(f935(x133691,a923))))), % 199.58/199.94 inference(rename_variables,[],[3949])). % 199.58/199.94 cnf(13372,plain, % 199.58/199.94 (P108(f330(f330(f238(f935(x133721,a923)),x133722),x133722))), % 199.58/199.94 inference(rename_variables,[],[3863])). % 199.58/199.94 cnf(13378,plain, % 199.58/199.94 (~P108(f330(f330(f239(a928),x133781),f2(a928)))), % 199.58/199.94 inference(rename_variables,[],[4798])). % 199.58/199.94 cnf(13379,plain, % 199.58/199.94 (P108(f330(f330(f238(a1),x133791),x133791))), % 199.58/199.94 inference(rename_variables,[],[3568])). % 199.58/199.94 cnf(13383,plain, % 199.58/199.94 (~P108(f330(f330(f239(a928),x133831),f2(a928)))), % 199.58/199.94 inference(rename_variables,[],[4798])). % 199.58/199.94 cnf(13384,plain, % 199.58/199.94 (P108(f330(f330(f238(a1),x133841),x133841))), % 199.58/199.94 inference(rename_variables,[],[3568])). % 199.58/199.94 cnf(13389,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),x133891),x133891))), % 199.58/199.94 inference(rename_variables,[],[3567])). % 199.58/199.94 cnf(13396,plain, % 199.58/199.94 (E(f330(f330(f16(x133961,x133962),x133963),x133964),x133963)), % 199.58/199.94 inference(rename_variables,[],[3558])). % 199.58/199.94 cnf(13399,plain, % 199.58/199.94 (P108(f330(f330(f238(f935(x133991,a923)),f330(f175(x133991),f179(x133991,x133992,x133993))),f330(f175(x133991),x133992)))), % 199.58/199.94 inference(rename_variables,[],[4264])). % 199.58/199.94 cnf(13406,plain, % 199.58/199.94 (~P108(f330(f330(f239(a928),x134061),f2(a928)))), % 199.58/199.94 inference(rename_variables,[],[4798])). % 199.58/199.94 cnf(13407,plain, % 199.58/199.94 (P108(f330(f330(f238(a1),x134071),x134071))), % 199.58/199.94 inference(rename_variables,[],[3568])). % 199.58/199.94 cnf(13411,plain, % 199.58/199.94 (~P108(f330(f330(f239(a928),x134111),f2(a928)))), % 199.58/199.94 inference(rename_variables,[],[4798])). % 199.58/199.94 cnf(13412,plain, % 199.58/199.94 (P108(f330(f330(f238(a1),x134121),x134121))), % 199.58/199.94 inference(rename_variables,[],[3568])). % 199.58/199.94 cnf(13417,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),x134171),x134171))), % 199.58/199.94 inference(rename_variables,[],[3567])). % 199.58/199.94 cnf(13420,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),x134201),x134201))), % 199.58/199.94 inference(rename_variables,[],[3567])). % 199.58/199.94 cnf(13423,plain, % 199.58/199.94 (~P108(f330(f330(f238(a928),f330(a115,x134231)),x134231))), % 199.58/199.94 inference(rename_variables,[],[4804])). % 199.58/199.94 cnf(13428,plain, % 199.58/199.94 (E(x134281,f495(f330(f5(x134282),f330(f5(x134282),x134281)),f5(x134282),x134282,x134282))), % 199.58/199.94 inference(scs_inference,[],[4828,4229,12853,12875,13005,13007,3804,11450,12523,12626,12629,12721,12763,12767,12775,12847,13035,13037,3813,12593,13017,13019,3822,3537,13047,13049,13051,3538,12977,3504,12929,4768,4769,12107,4506,13075,3541,12997,3378,3436,13029,3437,13001,3438,3439,3440,12803,13064,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,12497,12697,12907,12961,12963,12970,12985,12991,12993,12995,13023,13033,13053,13086,13102,3865,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,12589,12756,3623,3586,13057,3772,12283,4745,10757,10857,11330,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3192,3195,3201,3207,3210,3213,3222,3223,3230,3236,3239,3240,3242,3247,3253,3264,3268,3269,3270,3282,3289,3290,3293,3294,3298,3301,3302,3309,3313,3316,3323,3324,3325,3328,3329,3335,3336,3351,3355,4730,3360,3435,4731,3904,4134,3549,3608,3525,3528,3499,12788,12792,12796,3514,4026,4334,3482,13363,3634,12850,12932,3401,3402,4120,11785,3622,12965,3465,3398,3426,3884,3421,3620,4238,4128,3947,4706,3409,3410,3382,3388,4038,3446,3624,11173,11300,12590,12807,3498,4203,4758,10584,10754,11641,12748,12789,12793,4765,12760,3558,12127,12130,4161,4805,11356,11455,11693,11696,3966,3671,3890,4783,3638,13045,13093,3462,10657,10987,3463,3725,3454,3379,3484,11775,4348,12778,12919,4205,11376,11511,11572,12732,12738,12864,12867,12897,4823,11275,11524,11635,11661,11701,11707,12676,4824,11409,11527,11638,4825,11530,4826,11590,4827,3483,3764,12632,12673,12759,3931,3713,4620,4621,3785,4756,11768,3908,3866,3910,4469,4083,3833,13285,13289,13293,13297,13307,4130,12623,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,12564,12901,13168,13206,13209,13268,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,12679,12782,13114,13133,13136,13160,13210,13378,13383,13406,4811,11894,11927,11964,11971,12007,13219,13223,4006,3773,3774,13139,13142,13145,13148,13178,4153,3594,3596,3570,4795,3461,4753,3957,4270,3757,4812,4341,11658,3889,3607,12149,12152,12597,12701,12878,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,12219,4310,4269,12300,12647,4214,11170,12482,12657,4264,11379,12520,12596,12656,12700,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,12542,12812,12874,12894,12904,4815,11118,11535,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,12640,12704,12823,12870,13161,13184,13242,13260,13271,13276,13279,13282,13315,13326,13339,13389,13417,13420,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,12405,13175,13319,13342,13379,13384,13407,3569,12567,12570,3643,12512,13239,13286,13290,13294,13298,13308,13312,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,12611,12707,12710,12816,12856,12941,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,12755,12944,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,12538,12685,12729,12735,12835,12838,12860,12918,12924,12935,12955,13238,13254,13257,3628,10984,11014,11023,11026,11029,11627,12857,12871,13220,13224,13227,13230,3667,3660,4087,4024,10636,12030,12062,13201,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,13423,3588,11017,11178,11248,12063,12212,12410,12616,12641,4048,12155,13155,4389,3779,4801,4059,4095,4786,4789,4790,3544,3548,4788,4787,3879,4484,4817,10883,10886,4822,11365,11368,11560,11671,11688,11730,4171,11727,12083,12087,12766,12774,12863,4014,11291,11297,11317,12332,12462,12541,3863,11435,11563,12573,12682,12692,12771,12826,12834,12952,4346,4016,11020,11398,11569,11603,11614,12770,3721,3829,10936,10939,11032,11204,3831,4820,12024,4816,13123,4821,10776,10889,12635,12644,12688,12888,12891,4444,11161,12653,12668,4352,4047,12958,3992,3993,4818,10606,10609,10978,10981,11891,12088,12900,4819,12004,12093,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887,7913,7914,7945,7947,7948,7949,7954,7975,7992,7997,8003,8005,8013,8025,8026,8028,8049,8055,8076,8144,8145,8146,8194,8200,8201,8224,8225,8242,8243,8244,8301,8302,8331,8360,8370,8384,8397,8426,8430,8436,8448,8466,8471,8493,8538,8568,8582,8601,8604,8630,8657,8714,8715,8718,8719,8787,8821,8822,8823,8824,8851,8883,8912,8920,8921,8962,8983,9028,9044,9090,9093,9108,9115,9158,9201,9202,9220,9221,9235,9352,9358,9362,9382,9393,9416,9418,9421,9427,9429,9430,9440,9441,9460,9468,9478,9485,9527,9545,9600,9601,9607,9646,9671,9676,9715,9725,9728,9729,9731,9732,9744,9768,9783,9792,9793,9795,9797,9826,9946,9947,9997,9998,10037,10073,10184,10243,10307,10394,10412,10417,3,2893,2894,2895,2896,2898,2900,2902,2904,2905,2906,2907,2908,2909,2920,2921,2922,2923,2924,2925,2926,2927,2934,2936,2939,2940,2943,2944,2945,2946,2947,2953,2954,2955,2957,2959,2960,2963,2964,2965,2967,2968,2971,2972,2974,2991,2992,2993,2994,3011,3013,3014,3015,3016,3024,3031,3034,3035,3040,3041,3045,3046,3047,3065,3072,3073,3097,3100,3101,3102,3103,3104,3105,3106,3108,3126,3127,3128,3129,3131,3132,3146,3147,3149,3155,3156,5545,5584,5731,5732,5733,5815,5913,5943,5977,5993,5995,6001,6063,6064,6065,6066,6074,6109,6246,6283,6293,6318,6353,6390,6537,6542,6580,6581,6604,6606,6608,6615,6616,6617,6618,6619,6620,6621,6622,6704,6775,6776,6862,6897,6898,6937,6938,7075,7089,7145,7162,7163,7170,7192,7223,7225,7271,7293,7294,7312,7313,7350,7395,7396,7495,7564,7565,7566,7567,7582,7614,7664,7665,7674,7679,7680,7691,7722,7723,7724,7725,7868,7869,7871,7873,7879,7880,8082,8085,8091,8092,8103,8141,8142,8220,8260,8314,8336,8337,8412,8506,8578,8579,8583,8616,8653,8678,8679,8746,8763,8764,8765,8766,8916])). % 199.58/199.94 cnf(13429,plain, % 199.58/199.94 (P108(f330(f330(f332(x134291),f330(x134292,x134293)),f330(f313(x134294,x134291,x134292),f245(f935(x134294,a923)))))), % 199.58/199.94 inference(rename_variables,[],[4171])). % 199.58/199.94 cnf(13430,plain, % 199.58/199.94 (P25(x134301,x134301,f5(x134301),x134302)), % 199.58/199.94 inference(rename_variables,[],[3804])). % 199.58/199.94 cnf(13435,plain, % 199.58/199.94 (P108(f330(f330(f238(f935(x134351,a923)),x134352),f245(f935(x134351,a923))))), % 199.58/199.94 inference(rename_variables,[],[3949])). % 199.58/199.94 cnf(13436,plain, % 199.58/199.94 (P25(x134361,x134361,f5(x134361),x134362)), % 199.58/199.94 inference(rename_variables,[],[3804])). % 199.58/199.94 cnf(13440,plain, % 199.58/199.94 (P108(f330(f330(f238(f935(x134401,a923)),x134402),f245(f935(x134401,a923))))), % 199.58/199.94 inference(rename_variables,[],[3949])). % 199.58/199.94 cnf(13441,plain, % 199.58/199.94 (P25(x134411,x134411,f5(x134411),x134412)), % 199.58/199.94 inference(rename_variables,[],[3804])). % 199.58/199.94 cnf(13445,plain, % 199.58/199.94 (P25(x134451,x134451,f5(x134451),x134452)), % 199.58/199.94 inference(rename_variables,[],[3804])). % 199.58/199.94 cnf(13448,plain, % 199.58/199.94 (~P108(f330(f330(f239(f935(x134481,a923)),x134482),f191(f935(x134481,a923))))), % 199.58/199.94 inference(rename_variables,[],[4815])). % 199.58/199.94 cnf(13451,plain, % 199.58/199.94 (P25(x134511,x134511,f5(x134511),x134512)), % 199.58/199.94 inference(rename_variables,[],[3804])). % 199.58/199.94 cnf(13454,plain, % 199.58/199.94 (P25(x134541,x134541,f5(x134541),x134542)), % 199.58/199.94 inference(rename_variables,[],[3804])). % 199.58/199.94 cnf(13460,plain, % 199.58/199.94 (P108(f330(f330(f238(f935(x134601,a923)),x134602),f245(f935(x134601,a923))))), % 199.58/199.94 inference(rename_variables,[],[3949])). % 199.58/199.94 cnf(13465,plain, % 199.58/199.94 (P108(f330(f330(f238(f935(x134651,a923)),f191(f935(x134651,a923))),x134652))), % 199.58/199.94 inference(rename_variables,[],[4016])). % 199.58/199.94 cnf(13469,plain, % 199.58/199.94 (E(f32(x134691,x134692,x134693,x134694,x134695,x134696,x134697,x134698,x134699,a25),x134692)), % 199.58/199.94 inference(rename_variables,[],[4719])). % 199.58/199.94 cnf(13473,plain, % 199.58/199.94 (~P108(f330(f330(f332(x134731),x134732),f191(f935(x134731,a923))))), % 199.58/199.94 inference(rename_variables,[],[4807])). % 199.58/199.94 cnf(13478,plain, % 199.58/199.94 (P25(x134781,x134781,f5(x134781),x134782)), % 199.58/199.94 inference(rename_variables,[],[3804])). % 199.58/199.94 cnf(13481,plain, % 199.58/199.94 (P108(f330(f330(f238(f935(x134811,a923)),x134812),f245(f935(x134811,a923))))), % 199.58/199.94 inference(rename_variables,[],[3949])). % 199.58/199.94 cnf(13489,plain, % 199.58/199.94 (E(f330(f330(f16(x134891,x134892),x134893),x134894),x134893)), % 199.58/199.94 inference(rename_variables,[],[3558])). % 199.58/199.94 cnf(13492,plain, % 199.58/199.94 (~P108(f330(f330(f332(x134921),x134922),f191(f935(x134921,a923))))), % 199.58/199.94 inference(rename_variables,[],[4807])). % 199.58/199.94 cnf(13495,plain, % 199.58/199.94 (~P108(f330(f330(f332(x134951),x134952),f191(f935(x134951,a923))))), % 199.58/199.94 inference(rename_variables,[],[4807])). % 199.58/199.94 cnf(13498,plain, % 199.58/199.94 (~P108(f330(f330(f332(x134981),x134982),f191(f935(x134981,a923))))), % 199.58/199.94 inference(rename_variables,[],[4807])). % 199.58/199.94 cnf(13499,plain, % 199.58/199.94 (P108(f330(f62(x134991),f191(f935(x134991,a923))))), % 199.58/199.94 inference(rename_variables,[],[3643])). % 199.58/199.94 cnf(13501,plain, % 199.58/199.94 (E(f330(f36(a928),f32(x135011,f330(f330(f312(a928),f330(a115,f2(a928))),f330(f304(a928),f2(a928))),x135012,x135013,x135014,x135015,x135016,x135017,x135018,a25)),f330(a115,f330(a115,f2(a928))))), % 199.58/199.94 inference(scs_inference,[],[4828,4229,12853,12875,13005,13007,13009,3804,11450,12523,12626,12629,12721,12763,12767,12775,12847,13035,13037,13430,13436,13441,13445,13451,13454,3813,12593,13017,13019,3822,3537,13047,13049,13051,3538,12977,3504,12929,4768,4769,12107,4506,13075,3541,12997,3378,3436,13029,3437,13001,3438,3439,3440,12803,13064,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,12497,12697,12907,12961,12963,12970,12985,12991,12993,12995,13023,13033,13053,13086,13102,13302,13469,3865,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,12589,12756,12817,3623,3586,13057,3772,12283,4745,10757,10857,11330,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3192,3195,3201,3207,3210,3213,3222,3223,3230,3236,3239,3240,3242,3247,3253,3264,3268,3269,3270,3282,3289,3290,3293,3294,3298,3301,3302,3309,3313,3316,3323,3324,3325,3328,3329,3335,3336,3351,3355,4730,3360,3435,4731,3904,4134,3549,3608,3525,3528,3499,12788,12792,12796,3514,4026,4334,3482,13363,3634,12850,12932,3401,3402,4120,11785,3622,12965,3465,3398,3426,3884,3421,3620,4238,4128,3947,4706,3409,3410,3382,3388,4038,3446,3624,11173,11300,12590,12807,3498,4203,4758,10584,10754,11641,12748,12789,12793,4765,12760,3558,12127,12130,13396,4161,4805,11356,11455,11693,11696,3966,3671,3890,4783,3638,13045,13093,3462,10657,10987,3463,4792,3725,3454,3379,3513,3484,11775,4348,12778,12919,4205,11376,11511,11572,12732,12738,12864,12867,12897,4823,11275,11524,11635,11661,11701,11707,12676,4824,11409,11527,11638,4825,11530,11583,4826,11590,4827,3483,3764,12632,12673,12759,3931,3713,4620,4621,3785,4756,11768,3908,3866,3910,4469,4083,3833,13285,13289,13293,13297,13307,4130,12623,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,12564,12901,13168,13206,13209,13268,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,12679,12782,13114,13133,13136,13160,13210,13378,13383,13406,4811,11894,11927,11964,11971,12007,13219,13223,4006,3773,3774,13139,13142,13145,13148,13178,4153,3594,3596,3570,4795,3461,4753,3957,4270,3757,4812,4341,11658,3889,3607,12149,12152,12597,12701,12878,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,12219,4310,4269,12300,12647,4214,11170,12482,12657,4264,11379,12520,12596,12656,12700,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,12542,12812,12874,12894,12904,13369,13435,13440,13460,4815,11118,11535,12660,13448,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,12640,12704,12823,12870,13161,13184,13242,13260,13271,13276,13279,13282,13315,13326,13339,13389,13417,13420,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,12405,13175,13319,13342,13379,13384,13407,3569,12567,12570,3643,12512,13239,13286,13290,13294,13298,13308,13312,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,12611,12707,12710,12816,12856,12941,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,12755,12944,13362,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,12538,12685,12729,12735,12835,12838,12860,12918,12924,12935,12955,13238,13254,13257,13351,13473,13492,13495,3628,10984,11014,11023,11026,11029,11627,12857,12871,13220,13224,13227,13230,3667,3660,4087,4024,10636,12030,12062,13201,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,13423,3588,11017,11178,11248,12063,12212,12410,12616,12641,4048,12155,13155,4389,3779,4801,4059,4095,4786,4789,4790,3544,3548,4788,4787,3879,12023,4484,4817,10883,10886,4822,11365,11368,11560,11671,11688,11730,4171,11727,12083,12087,12766,12774,12863,13429,4014,11291,11297,11317,12332,12462,12541,12831,3863,11435,11563,12573,12682,12692,12771,12826,12834,12952,4346,4016,11020,11398,11569,11603,11614,12770,12820,3721,3829,10936,10939,11032,11204,3831,4820,12024,4816,13123,4821,10776,10889,12635,12644,12688,12888,12891,4444,11161,12653,12668,12691,4352,4047,12958,3992,3993,4818,10606,10609,10978,10981,11891,12088,12900,4819,12004,12093,4017,10942,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887,7913,7914,7945,7947,7948,7949,7954,7975,7992,7997,8003,8005,8013,8025,8026,8028,8049,8055,8076,8144,8145,8146,8194,8200,8201,8224,8225,8242,8243,8244,8301,8302,8331,8360,8370,8384,8397,8426,8430,8436,8448,8466,8471,8493,8538,8568,8582,8601,8604,8630,8657,8714,8715,8718,8719,8787,8821,8822,8823,8824,8851,8883,8912,8920,8921,8962,8983,9028,9044,9090,9093,9108,9115,9158,9201,9202,9220,9221,9235,9352,9358,9362,9382,9393,9416,9418,9421,9427,9429,9430,9440,9441,9460,9468,9478,9485,9527,9545,9600,9601,9607,9646,9671,9676,9715,9725,9728,9729,9731,9732,9744,9768,9783,9792,9793,9795,9797,9826,9946,9947,9997,9998,10037,10073,10184,10243,10307,10394,10412,10417,3,2893,2894,2895,2896,2898,2900,2902,2904,2905,2906,2907,2908,2909,2920,2921,2922,2923,2924,2925,2926,2927,2934,2936,2939,2940,2943,2944,2945,2946,2947,2953,2954,2955,2957,2959,2960,2963,2964,2965,2967,2968,2971,2972,2974,2991,2992,2993,2994,3011,3013,3014,3015,3016,3024,3031,3034,3035,3040,3041,3045,3046,3047,3065,3072,3073,3097,3100,3101,3102,3103,3104,3105,3106,3108,3126,3127,3128,3129,3131,3132,3146,3147,3149,3155,3156,5545,5584,5731,5732,5733,5815,5913,5943,5977,5993,5995,6001,6063,6064,6065,6066,6074,6109,6246,6283,6293,6318,6353,6390,6537,6542,6580,6581,6604,6606,6608,6615,6616,6617,6618,6619,6620,6621,6622,6704,6775,6776,6862,6897,6898,6937,6938,7075,7089,7145,7162,7163,7170,7192,7223,7225,7271,7293,7294,7312,7313,7350,7395,7396,7495,7564,7565,7566,7567,7582,7614,7664,7665,7674,7679,7680,7691,7722,7723,7724,7725,7868,7869,7871,7873,7879,7880,8082,8085,8091,8092,8103,8141,8142,8220,8260,8314,8336,8337,8412,8506,8578,8579,8583,8616,8653,8678,8679,8746,8763,8764,8765,8766,8916,9177,9178,9249,9263,9316,9317,9437,9471,9497,9529,9570,9766,9889,10032,10212,10268,10270,10403,5883])). % 199.58/199.94 cnf(13502,plain, % 199.58/199.94 (E(f32(x135021,x135022,x135023,x135024,x135025,x135026,x135027,x135028,x135029,a25),x135022)), % 199.58/199.94 inference(rename_variables,[],[4719])). % 199.58/199.94 cnf(13504,plain, % 199.58/199.94 (~E(f330(a115,x135041),x135041)), % 199.58/199.94 inference(rename_variables,[],[4733])). % 199.58/199.94 cnf(13509,plain, % 199.58/199.94 (~E(f330(a115,x135091),x135091)), % 199.58/199.94 inference(rename_variables,[],[4733])). % 199.58/199.94 cnf(13513,plain, % 199.58/199.94 (E(f32(x135131,x135132,x135133,x135134,x135135,x135136,x135137,x135138,x135139,a25),x135132)), % 199.58/199.94 inference(rename_variables,[],[4719])). % 199.58/199.94 cnf(13514,plain, % 199.58/199.94 (~E(f330(a115,x135141),x135141)), % 199.58/199.94 inference(rename_variables,[],[4733])). % 199.58/199.94 cnf(13517,plain, % 199.58/199.94 (P108(f330(f330(f239(a928),x135171),f330(a115,x135171)))), % 199.58/199.94 inference(rename_variables,[],[3635])). % 199.58/199.94 cnf(13518,plain, % 199.58/199.94 (~E(f330(a115,x135181),x135181)), % 199.58/199.94 inference(rename_variables,[],[4733])). % 199.58/199.94 cnf(13521,plain, % 199.58/199.94 (P108(f330(f330(f239(a928),x135211),f330(a115,f330(f330(f82(a928),x135212),x135211))))), % 199.58/199.94 inference(rename_variables,[],[4017])). % 199.58/199.94 cnf(13522,plain, % 199.58/199.94 (P108(f330(f330(f239(a928),x135221),f330(a115,x135221)))), % 199.58/199.94 inference(rename_variables,[],[3635])). % 199.58/199.94 cnf(13531,plain, % 199.58/199.94 (P108(f330(f330(f238(a1),f2(a1)),f330(f103(a1),x135311)))), % 199.58/199.94 inference(rename_variables,[],[3667])). % 199.58/199.94 cnf(13534,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),f2(a928)),x135341))), % 199.58/199.94 inference(rename_variables,[],[3588])). % 199.58/199.94 cnf(13538,plain, % 199.58/199.94 (~E(f330(a115,x135381),f2(a928))), % 199.58/199.94 inference(rename_variables,[],[4745])). % 199.58/199.94 cnf(13543,plain, % 199.58/199.94 (~P108(f330(f330(f332(x135431),x135432),f191(f935(x135431,a923))))), % 199.58/199.94 inference(rename_variables,[],[4807])). % 199.58/199.94 cnf(13546,plain, % 199.58/199.94 (P108(f330(f62(a928),f308(a928,x135461,x135462)))), % 199.58/199.94 inference(rename_variables,[],[3774])). % 199.58/199.94 cnf(13547,plain, % 199.58/199.94 (E(f330(f330(f236(a928),f330(a115,x135471)),f330(a115,x135472)),f330(a115,f330(f330(f236(a928),x135471),x135472)))), % 199.58/199.94 inference(rename_variables,[],[3738])). % 199.58/199.94 cnf(13550,plain, % 199.58/199.94 (P108(f330(f62(a928),f308(a928,x135501,x135502)))), % 199.58/199.94 inference(rename_variables,[],[3774])). % 199.58/199.94 cnf(13551,plain, % 199.58/199.94 (E(f330(f330(f237(a928),f330(a115,x135511)),f330(a115,x135512)),f330(a115,f330(f330(f237(a928),x135511),x135512)))), % 199.58/199.94 inference(rename_variables,[],[3739])). % 199.58/199.94 cnf(13554,plain, % 199.58/199.94 (P108(f330(f62(a928),f308(a928,x135541,x135542)))), % 199.58/199.94 inference(rename_variables,[],[3774])). % 199.58/199.94 cnf(13563,plain, % 199.58/199.94 (~P108(f330(f330(f332(x135631),x135632),f191(f935(x135631,a923))))), % 199.58/199.94 inference(rename_variables,[],[4807])). % 199.58/199.94 cnf(13564,plain, % 199.58/199.94 (E(f330(f330(f16(x135641,x135642),x135643),x135644),x135643)), % 199.58/199.94 inference(rename_variables,[],[3558])). % 199.58/199.94 cnf(13567,plain, % 199.58/199.94 (P108(f330(f330(f238(f935(x135671,a923)),f330(f175(x135671),f330(f139(x135671,x135672),x135673))),f330(f175(x135671),x135673)))), % 199.58/199.94 inference(rename_variables,[],[4214])). % 199.58/199.94 cnf(13568,plain, % 199.58/199.94 (E(f330(f330(f16(x135681,x135682),x135683),x135684),x135683)), % 199.58/199.94 inference(rename_variables,[],[3558])). % 199.58/199.94 cnf(13571,plain, % 199.58/199.94 (P108(f330(f330(f238(f935(x135711,a923)),f330(f175(x135711),f330(f330(f178(x135711),x135712),x135713))),f330(f175(x135711),x135713)))), % 199.58/199.94 inference(rename_variables,[],[4259])). % 199.58/199.94 cnf(13572,plain, % 199.58/199.94 (E(f330(f330(f16(x135721,x135722),x135723),x135724),x135723)), % 199.58/199.94 inference(rename_variables,[],[3558])). % 199.58/199.94 cnf(13576,plain, % 199.58/199.94 (E(f330(f330(f16(x135761,x135762),x135763),x135764),x135763)), % 199.58/199.94 inference(rename_variables,[],[3558])). % 199.58/199.94 cnf(13589,plain, % 199.58/199.94 (P108(f330(f330(f238(a1),f2(a1)),f330(f103(a1),x135891)))), % 199.58/199.94 inference(rename_variables,[],[3667])). % 199.58/199.94 cnf(13594,plain, % 199.58/199.94 (P25(x135941,x135941,f5(x135941),x135942)), % 199.58/199.94 inference(rename_variables,[],[3804])). % 199.58/199.94 cnf(13597,plain, % 199.58/199.94 (~P108(f330(f330(f332(x135971),x135972),f191(f935(x135971,a923))))), % 199.58/199.94 inference(rename_variables,[],[4807])). % 199.58/199.94 cnf(13598,plain, % 199.58/199.94 (E(f32(x135981,x135982,x135983,x135984,x135985,x135986,x135987,x135988,x135989,a25),x135982)), % 199.58/199.94 inference(rename_variables,[],[4719])). % 199.58/199.94 cnf(13599,plain, % 199.58/199.94 (P25(x135991,x135991,f5(x135991),x135992)), % 199.58/199.94 inference(rename_variables,[],[3804])). % 199.58/199.94 cnf(13603,plain, % 199.58/199.94 (E(f32(x136031,x136032,x136033,x136034,x136035,x136036,x136037,x136038,x136039,a25),x136032)), % 199.58/199.94 inference(rename_variables,[],[4719])). % 199.58/199.94 cnf(13609,plain, % 199.58/199.94 (E(f32(x136091,x136092,x136093,x136094,x136095,x136096,x136097,x136098,x136099,a25),x136092)), % 199.58/199.94 inference(rename_variables,[],[4719])). % 199.58/199.94 cnf(13610,plain, % 199.58/199.94 (P108(f330(f330(f238(a1),x136101),x136101))), % 199.58/199.94 inference(rename_variables,[],[3568])). % 199.58/199.94 cnf(13613,plain, % 199.58/199.94 (E(f32(x136131,x136132,x136133,x136134,x136135,x136136,x136137,x136138,x136139,a25),x136132)), % 199.58/199.94 inference(rename_variables,[],[4719])). % 199.58/199.94 cnf(13614,plain, % 199.58/199.94 (P108(f330(f330(f238(a1),x136141),x136141))), % 199.58/199.94 inference(rename_variables,[],[3568])). % 199.58/199.94 cnf(13617,plain, % 199.58/199.94 (E(f32(x136171,x136172,x136173,x136174,x136175,x136176,x136177,x136178,x136179,a25),x136172)), % 199.58/199.94 inference(rename_variables,[],[4719])). % 199.58/199.94 cnf(13618,plain, % 199.58/199.94 (P108(f330(f330(f238(a1),x136181),x136181))), % 199.58/199.94 inference(rename_variables,[],[3568])). % 199.58/199.94 cnf(13620,plain, % 199.58/199.94 (P108(f330(f330(f239(f935(a1,a923)),f306(a1,f80(a1),f2(a1))),f306(a1,f2(a1),f80(a1))))), % 199.58/199.94 inference(scs_inference,[],[4828,4229,12853,12875,13005,13007,13009,3804,11450,12523,12626,12629,12721,12763,12767,12775,12847,13035,13037,13430,13436,13441,13445,13451,13454,13478,13594,13599,3813,12593,13017,13019,3822,3537,13047,13049,13051,3538,12977,3504,12929,4768,4769,12107,4506,13075,3541,12997,3378,3436,13029,3437,13001,3438,3439,3440,12803,13064,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,12497,12697,12907,12961,12963,12970,12985,12991,12993,12995,13023,13033,13053,13086,13102,13302,13469,13502,13513,13598,13603,13609,13613,3865,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,12589,12756,12817,13504,13509,13514,13518,3623,3586,13057,3772,12283,4745,10757,10857,11330,11430,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3192,3195,3201,3207,3210,3213,3222,3223,3230,3236,3239,3240,3242,3247,3253,3258,3264,3265,3268,3269,3270,3282,3289,3290,3293,3294,3298,3301,3302,3309,3313,3316,3323,3324,3325,3328,3329,3335,3336,3351,3355,4730,3360,3435,4731,3904,4134,3549,3608,3525,3528,3499,12788,12792,12796,3514,4026,4334,3482,13363,3634,12850,12932,3401,3402,4120,11785,3622,12965,3465,3398,3426,3884,3421,3620,4238,4128,3947,4706,3409,3410,3382,3388,4038,3446,3624,11173,11300,12590,12807,3498,4203,4758,10584,10754,11641,12748,12789,12793,4765,12760,3558,12127,12130,13396,13489,13564,13568,13572,13576,4161,4805,11356,11455,11693,11696,3533,3966,3555,3671,3890,3663,4783,3638,13045,13093,3462,10657,10987,3463,4792,3725,3454,3379,3513,3484,11775,4348,12778,12919,4205,11376,11511,11572,12732,12738,12864,12867,12897,4823,11275,11524,11635,11661,11701,11707,12676,4824,11409,11527,11638,4825,11530,11583,4826,11590,4827,3483,3764,12632,12673,12759,3931,3713,4620,4621,3785,4756,11768,3908,3866,3910,4469,4083,3833,13285,13289,13293,13297,13307,4130,12623,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,12564,12901,13168,13206,13209,13268,13517,4019,12027,3551,3647,11850,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,12679,12782,13114,13133,13136,13160,13210,13378,13383,13406,4811,11894,11927,11964,11971,12007,13219,13223,4006,3773,3774,13139,13142,13145,13148,13178,13181,13546,13550,13554,4153,3738,13547,3739,13551,3594,3596,3570,4795,3461,4753,3957,4270,3757,4812,4341,11658,3889,3607,12149,12152,12597,12701,12878,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,12219,4310,4269,12300,12647,4214,11170,12482,12657,12806,13567,4259,13571,4264,11379,12520,12596,12656,12700,13399,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,12542,12812,12874,12894,12904,13369,13435,13440,13460,13481,4815,11118,11535,12660,13448,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,12640,12704,12823,12870,13161,13184,13242,13260,13271,13276,13279,13282,13315,13326,13339,13389,13417,13420,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,12405,13175,13319,13342,13379,13384,13407,13412,13610,13614,3569,12567,12570,3643,12512,13239,13286,13290,13294,13298,13308,13312,13499,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,12611,12707,12710,12816,12856,12941,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,12755,12944,13362,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,12538,12685,12729,12735,12835,12838,12860,12918,12924,12935,12955,13238,13254,13257,13351,13473,13492,13495,13498,13543,13563,13597,3628,10984,11014,11023,11026,11029,11627,12857,12871,13220,13224,13227,13230,3667,13531,3660,4087,4024,10636,12030,12062,13201,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,13423,3588,11017,11178,11248,12063,12212,12410,12616,12641,13251,4048,12155,13155,4389,3779,4801,4059,4095,4786,4789,4790,3544,3548,4788,4787,4557,3879,12023,4484,4817,10883,10886,4822,11365,11368,11560,11671,11688,11730,4171,11727,12083,12087,12766,12774,12863,13429,4014,11291,11297,11317,12332,12462,12541,12831,3863,11435,11563,12573,12682,12692,12771,12826,12834,12952,13372,4346,4016,11020,11398,11569,11603,11614,12770,12820,13465,3721,11282,3829,10936,10939,11032,11204,3831,4820,12024,4816,13123,4821,10776,10889,12635,12644,12688,12888,12891,4444,11161,12653,12668,12691,4352,4047,12958,3992,3993,4818,10606,10609,10978,10981,11891,12088,12900,4819,12004,12093,4017,10942,11210,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887,7913,7914,7945,7947,7948,7949,7954,7975,7992,7997,8003,8005,8013,8025,8026,8028,8049,8055,8076,8144,8145,8146,8194,8200,8201,8224,8225,8242,8243,8244,8301,8302,8331,8360,8370,8384,8397,8426,8430,8436,8448,8466,8471,8493,8538,8568,8582,8601,8604,8630,8657,8714,8715,8718,8719,8787,8821,8822,8823,8824,8851,8883,8912,8920,8921,8962,8983,9028,9044,9090,9093,9108,9115,9158,9201,9202,9220,9221,9235,9352,9358,9362,9382,9393,9416,9418,9421,9427,9429,9430,9440,9441,9460,9468,9478,9485,9527,9545,9600,9601,9607,9646,9671,9676,9715,9725,9728,9729,9731,9732,9744,9768,9783,9792,9793,9795,9797,9826,9946,9947,9997,9998,10037,10073,10184,10243,10307,10394,10412,10417,3,2893,2894,2895,2896,2898,2900,2902,2904,2905,2906,2907,2908,2909,2920,2921,2922,2923,2924,2925,2926,2927,2934,2936,2939,2940,2943,2944,2945,2946,2947,2953,2954,2955,2957,2959,2960,2963,2964,2965,2967,2968,2971,2972,2974,2991,2992,2993,2994,3011,3013,3014,3015,3016,3024,3031,3034,3035,3040,3041,3045,3046,3047,3065,3072,3073,3097,3100,3101,3102,3103,3104,3105,3106,3108,3126,3127,3128,3129,3131,3132,3146,3147,3149,3155,3156,5545,5584,5731,5732,5733,5815,5913,5943,5977,5993,5995,6001,6063,6064,6065,6066,6074,6109,6246,6283,6293,6318,6353,6390,6537,6542,6580,6581,6604,6606,6608,6615,6616,6617,6618,6619,6620,6621,6622,6704,6775,6776,6862,6897,6898,6937,6938,7075,7089,7145,7162,7163,7170,7192,7223,7225,7271,7293,7294,7312,7313,7350,7395,7396,7495,7564,7565,7566,7567,7582,7614,7664,7665,7674,7679,7680,7691,7722,7723,7724,7725,7868,7869,7871,7873,7879,7880,8082,8085,8091,8092,8103,8141,8142,8220,8260,8314,8336,8337,8412,8506,8578,8579,8583,8616,8653,8678,8679,8746,8763,8764,8765,8766,8916,9177,9178,9249,9263,9316,9317,9437,9471,9497,9529,9570,9766,9889,10032,10212,10268,10270,10403,5883,6144,6145,6686,6687,6778,6798,6799,7214,7433,8837,9084,9272,9273,9343,9344,9524,9618,9619,9620,9621,9829,10096,10110,10472,10473,6760,7660,7909,7910,8670])). % 199.58/199.94 cnf(13629,plain, % 199.58/199.94 (P108(f330(f330(f238(a928),f2(a928)),x136291))), % 199.58/199.94 inference(rename_variables,[],[3588])). % 199.58/199.94 cnf(13630,plain, % 199.58/199.94 (P108(f330(f330(f239(a928),f2(a928)),f330(a115,x136301)))), % 199.58/199.94 inference(rename_variables,[],[3647])). % 199.58/199.94 cnf(13631,plain, % 199.58/199.94 (E(f32(x136311,x136312,x136313,x136314,x136315,x136316,x136317,x136318,x136319,a25),x136312)), % 199.58/199.94 inference(rename_variables,[],[4719])). % 199.58/199.94 cnf(13638,plain, % 199.58/199.94 (E(f32(x136381,x136382,x136383,x136384,x136385,x136386,x136387,x136388,x136389,a25),x136382)), % 199.58/199.94 inference(rename_variables,[],[4719])). % 199.58/199.94 cnf(13656,plain, % 199.58/199.94 (~E(f330(f330(f154(x136561),x136562),x136563),f330(f171(x136561),f116(x136561)))), % 199.58/199.94 inference(scs_inference,[],[4828,4229,12853,12875,13005,13007,13009,3804,11450,12523,12626,12629,12721,12763,12767,12775,12847,13035,13037,13430,13436,13441,13445,13451,13454,13478,13594,13599,3813,12593,13017,13019,3822,3537,13047,13049,13051,3538,12977,3504,12929,4768,4769,12107,4506,13075,3541,12997,3378,3436,13029,3437,13001,3438,3439,3440,12803,13064,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,12497,12697,12907,12961,12963,12970,12985,12991,12993,12995,13023,13033,13053,13086,13102,13302,13469,13502,13513,13598,13603,13609,13613,13617,13631,13638,3865,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,12589,12756,12817,13504,13509,13514,13518,3623,3586,13057,3772,12283,4745,10757,10857,11330,11430,13538,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3192,3195,3201,3207,3210,3213,3222,3223,3230,3234,3236,3239,3240,3242,3247,3248,3253,3258,3264,3265,3268,3269,3270,3282,3289,3290,3293,3294,3298,3301,3302,3309,3313,3316,3323,3324,3325,3328,3329,3335,3336,3351,3355,4730,3360,3435,4731,3904,4134,3549,3608,3525,3528,3499,12788,12792,12796,3514,4026,4334,3482,13363,3634,12850,12932,3401,3402,4120,11785,3622,12965,3465,3398,3426,3884,3421,3620,4238,4128,3947,4706,3409,3410,3382,3388,4038,3446,3624,11173,11300,12590,12807,3498,4203,4758,10584,10754,11641,12748,12789,12793,4765,12760,3558,12127,12130,13396,13489,13564,13568,13572,13576,4161,4805,11356,11455,11693,11696,3533,3966,3555,3671,3890,3663,4783,3638,13045,13093,3462,10657,10987,3463,4792,3725,3454,3379,3513,3484,11775,4348,12778,12919,4205,11376,11511,11572,12732,12738,12864,12867,12897,4823,11275,11524,11635,11661,11701,11707,12676,4824,11409,11527,11638,4825,11530,11583,4826,11590,4827,3483,3764,12632,12673,12759,3931,3713,4620,4621,3748,3785,4756,11768,3908,3866,3910,4469,4083,3833,13285,13289,13293,13297,13307,4130,12623,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,12564,12901,13168,13206,13209,13268,13517,13522,4019,12027,3551,3647,11850,12142,13630,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,12679,12782,13114,13133,13136,13160,13210,13378,13383,13406,13411,4811,11894,11927,11964,11971,12007,13219,13223,4006,3773,3774,13139,13142,13145,13148,13178,13181,13546,13550,13554,4153,3738,13547,3739,13551,3594,3596,3570,4795,3461,4753,3957,4270,3757,4812,4341,11658,3889,3607,12149,12152,12597,12701,12878,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,12219,4310,4269,12300,12647,4214,11170,12482,12657,12806,13567,4259,13571,4264,11379,12520,12596,12656,12700,13399,4265,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,12542,12812,12874,12894,12904,13369,13435,13440,13460,13481,4815,11118,11535,12660,13448,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,12640,12704,12823,12870,13161,13184,13242,13260,13271,13276,13279,13282,13315,13326,13339,13389,13417,13420,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,12405,13175,13319,13342,13379,13384,13407,13412,13610,13614,13618,3569,12567,12570,3643,12512,13239,13286,13290,13294,13298,13308,13312,13499,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,12611,12707,12710,12816,12856,12941,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,12755,12944,13362,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,12538,12685,12729,12735,12835,12838,12860,12918,12924,12935,12955,13238,13254,13257,13351,13473,13492,13495,13498,13543,13563,13597,3628,10984,11014,11023,11026,11029,11627,12857,12871,13220,13224,13227,13230,3667,13531,13589,3660,4087,4024,10636,12030,12062,13201,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,13423,3588,11017,11178,11248,12063,12212,12410,12616,12641,13251,13534,13629,4048,12155,13155,4389,3779,4801,4059,4095,4786,4789,4790,3544,3548,4788,4787,4557,3879,12023,4484,4817,10883,10886,4822,11365,11368,11560,11671,11688,11730,4171,11727,12083,12087,12766,12774,12863,13429,4014,11291,11297,11317,12332,12462,12541,12831,3863,11435,11563,12573,12682,12692,12771,12826,12834,12952,13372,4346,4016,11020,11398,11569,11603,11614,12770,12820,13465,3721,11282,3829,10936,10939,11032,11204,3831,4820,12024,4816,13123,4821,10776,10889,12635,12644,12688,12888,12891,4444,11161,12653,12668,12691,4352,4047,12958,3992,3993,4818,10606,10609,10978,10981,11891,12088,12900,4819,12004,12093,4017,10942,11210,13521,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887,7913,7914,7945,7947,7948,7949,7954,7975,7992,7997,8003,8005,8013,8025,8026,8028,8049,8055,8076,8144,8145,8146,8194,8200,8201,8224,8225,8242,8243,8244,8301,8302,8331,8360,8370,8384,8397,8426,8430,8436,8448,8466,8471,8493,8538,8568,8582,8601,8604,8630,8657,8714,8715,8718,8719,8787,8821,8822,8823,8824,8851,8883,8912,8920,8921,8962,8983,9028,9044,9090,9093,9108,9115,9158,9201,9202,9220,9221,9235,9352,9358,9362,9382,9393,9416,9418,9421,9427,9429,9430,9440,9441,9460,9468,9478,9485,9527,9545,9600,9601,9607,9646,9671,9676,9715,9725,9728,9729,9731,9732,9744,9768,9783,9792,9793,9795,9797,9826,9946,9947,9997,9998,10037,10073,10184,10243,10307,10394,10412,10417,3,2893,2894,2895,2896,2898,2900,2902,2904,2905,2906,2907,2908,2909,2920,2921,2922,2923,2924,2925,2926,2927,2934,2936,2939,2940,2943,2944,2945,2946,2947,2953,2954,2955,2957,2959,2960,2963,2964,2965,2967,2968,2971,2972,2974,2991,2992,2993,2994,3011,3013,3014,3015,3016,3024,3031,3034,3035,3040,3041,3045,3046,3047,3065,3072,3073,3097,3100,3101,3102,3103,3104,3105,3106,3108,3126,3127,3128,3129,3131,3132,3146,3147,3149,3155,3156,5545,5584,5731,5732,5733,5815,5913,5943,5977,5993,5995,6001,6063,6064,6065,6066,6074,6109,6246,6283,6293,6318,6353,6390,6537,6542,6580,6581,6604,6606,6608,6615,6616,6617,6618,6619,6620,6621,6622,6704,6775,6776,6862,6897,6898,6937,6938,7075,7089,7145,7162,7163,7170,7192,7223,7225,7271,7293,7294,7312,7313,7350,7395,7396,7495,7564,7565,7566,7567,7582,7614,7664,7665,7674,7679,7680,7691,7722,7723,7724,7725,7868,7869,7871,7873,7879,7880,8082,8085,8091,8092,8103,8141,8142,8220,8260,8314,8336,8337,8412,8506,8578,8579,8583,8616,8653,8678,8679,8746,8763,8764,8765,8766,8916,9177,9178,9249,9263,9316,9317,9437,9471,9497,9529,9570,9766,9889,10032,10212,10268,10270,10403,5883,6144,6145,6686,6687,6778,6798,6799,7214,7433,8837,9084,9272,9273,9343,9344,9524,9618,9619,9620,9621,9829,10096,10110,10472,10473,6760,7660,7909,7910,8670,8671,9140,9159,10097,10471,4882,4914,4915,4918,4966])). % 199.58/199.94 cnf(13710,plain, % 199.58/199.94 (P108(f330(f330(f239(a1),f2(a1)),f330(f77(a1),f80(a1))))), % 199.58/199.94 inference(scs_inference,[],[4828,4229,12853,12875,13005,13007,13009,3804,11450,12523,12626,12629,12721,12763,12767,12775,12847,13035,13037,13430,13436,13441,13445,13451,13454,13478,13594,13599,3813,12593,13017,13019,3822,3537,13047,13049,13051,3538,12977,3504,12929,4768,4769,12107,4506,13075,3541,12997,3378,3436,13029,3437,13001,3438,3439,3440,12803,13064,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,12497,12697,12907,12961,12963,12970,12985,12991,12993,12995,13023,13033,13053,13086,13102,13302,13469,13502,13513,13598,13603,13609,13613,13617,13631,13638,3865,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,12589,12756,12817,13504,13509,13514,13518,3623,3586,13057,3772,12283,4745,10757,10857,11330,11430,13538,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3192,3195,3201,3207,3210,3213,3222,3223,3230,3234,3236,3239,3240,3242,3247,3248,3253,3258,3264,3265,3268,3269,3270,3282,3289,3290,3293,3294,3298,3301,3302,3309,3313,3316,3323,3324,3325,3328,3329,3335,3336,3351,3355,4730,3360,3435,4731,3904,4134,3549,3608,3525,3528,3499,12788,12792,12796,3514,4026,4334,3482,13363,3634,12850,12932,3401,3402,4120,11785,3622,12965,3465,3398,3426,3884,3421,3620,4238,4128,3947,4706,3409,3410,3382,3388,4038,3446,3624,11173,11300,12590,12807,3498,4203,4758,10584,10754,11641,12748,12789,12793,4765,12760,3558,12127,12130,13396,13489,13564,13568,13572,13576,4161,4805,11356,11455,11693,11696,3533,3966,3555,3671,3890,3663,4783,3638,13045,13093,3462,10657,10987,3463,4792,3725,3454,3379,3513,3484,11775,4348,12778,12919,4205,11376,11511,11572,12732,12738,12864,12867,12897,4823,11275,11524,11635,11661,11701,11707,12676,4824,11409,11527,11638,4825,11530,11583,4826,11590,4827,3483,3764,12632,12673,12759,3931,3713,4620,4621,3748,3785,4756,11768,3908,3866,3910,4469,4083,3833,13285,13289,13293,13297,13307,4130,12623,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,12564,12901,13168,13206,13209,13268,13517,13522,4019,12027,3551,3647,11850,12142,13630,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,12679,12782,13114,13133,13136,13160,13210,13378,13383,13406,13411,4811,11894,11927,11964,11971,12007,13219,13223,4006,3773,3774,13139,13142,13145,13148,13178,13181,13546,13550,13554,4153,3738,13547,3739,13551,3594,3596,3570,4795,3461,4753,3957,4270,3757,4812,4341,11658,3889,3607,12149,12152,12597,12701,12878,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,12219,4310,4269,12300,12647,4214,11170,12482,12657,12806,13567,4259,13571,4264,11379,12520,12596,12656,12700,13399,4265,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,12542,12812,12874,12894,12904,13369,13435,13440,13460,13481,4815,11118,11535,12660,13448,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,12640,12704,12823,12870,13161,13184,13242,13260,13271,13276,13279,13282,13315,13326,13339,13389,13417,13420,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,12405,13175,13319,13342,13379,13384,13407,13412,13610,13614,13618,3569,12567,12570,3643,12512,13239,13286,13290,13294,13298,13308,13312,13499,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,12611,12707,12710,12816,12856,12941,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,12755,12944,13362,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,12538,12685,12729,12735,12835,12838,12860,12918,12924,12935,12955,13238,13254,13257,13351,13473,13492,13495,13498,13543,13563,13597,3628,10984,11014,11023,11026,11029,11627,12857,12871,13220,13224,13227,13230,3667,13531,13589,3660,4087,4024,10636,12030,12062,13201,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,13423,3588,11017,11178,11248,12063,12212,12410,12616,12641,13251,13534,13629,4048,12155,13155,4389,3779,4801,4059,4095,4786,4789,4790,3544,3548,4788,4787,4557,3879,12023,4484,4817,10883,10886,4822,11365,11368,11560,11671,11688,11730,4171,11727,12083,12087,12766,12774,12863,13429,4014,11291,11297,11317,12332,12462,12541,12831,3863,11435,11563,12573,12682,12692,12771,12826,12834,12952,13372,4346,4016,11020,11398,11569,11603,11614,12770,12820,13465,3721,11282,3829,10936,10939,11032,11204,3831,4820,12024,4816,13123,4821,10776,10889,12635,12644,12688,12888,12891,4444,11161,12653,12668,12691,4352,4047,12958,3992,3993,4818,10606,10609,10978,10981,11891,12088,12900,4819,12004,12093,4017,10942,11210,13521,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887,7913,7914,7945,7947,7948,7949,7954,7975,7992,7997,8003,8005,8013,8025,8026,8028,8049,8055,8076,8144,8145,8146,8194,8200,8201,8224,8225,8242,8243,8244,8301,8302,8331,8360,8370,8384,8397,8426,8430,8436,8448,8466,8471,8493,8538,8568,8582,8601,8604,8630,8657,8714,8715,8718,8719,8787,8821,8822,8823,8824,8851,8883,8912,8920,8921,8962,8983,9028,9044,9090,9093,9108,9115,9158,9201,9202,9220,9221,9235,9352,9358,9362,9382,9393,9416,9418,9421,9427,9429,9430,9440,9441,9460,9468,9478,9485,9527,9545,9600,9601,9607,9646,9671,9676,9715,9725,9728,9729,9731,9732,9744,9768,9783,9792,9793,9795,9797,9826,9946,9947,9997,9998,10037,10073,10184,10243,10307,10394,10412,10417,3,2893,2894,2895,2896,2898,2900,2902,2904,2905,2906,2907,2908,2909,2920,2921,2922,2923,2924,2925,2926,2927,2934,2936,2939,2940,2943,2944,2945,2946,2947,2953,2954,2955,2957,2959,2960,2963,2964,2965,2967,2968,2971,2972,2974,2991,2992,2993,2994,3011,3013,3014,3015,3016,3024,3031,3034,3035,3040,3041,3045,3046,3047,3065,3072,3073,3097,3100,3101,3102,3103,3104,3105,3106,3108,3126,3127,3128,3129,3131,3132,3146,3147,3149,3155,3156,5545,5584,5731,5732,5733,5815,5913,5943,5977,5993,5995,6001,6063,6064,6065,6066,6074,6109,6246,6283,6293,6318,6353,6390,6537,6542,6580,6581,6604,6606,6608,6615,6616,6617,6618,6619,6620,6621,6622,6704,6775,6776,6862,6897,6898,6937,6938,7075,7089,7145,7162,7163,7170,7192,7223,7225,7271,7293,7294,7312,7313,7350,7395,7396,7495,7564,7565,7566,7567,7582,7614,7664,7665,7674,7679,7680,7691,7722,7723,7724,7725,7868,7869,7871,7873,7879,7880,8082,8085,8091,8092,8103,8141,8142,8220,8260,8314,8336,8337,8412,8506,8578,8579,8583,8616,8653,8678,8679,8746,8763,8764,8765,8766,8916,9177,9178,9249,9263,9316,9317,9437,9471,9497,9529,9570,9766,9889,10032,10212,10268,10270,10403,5883,6144,6145,6686,6687,6778,6798,6799,7214,7433,8837,9084,9272,9273,9343,9344,9524,9618,9619,9620,9621,9829,10096,10110,10472,10473,6760,7660,7909,7910,8670,8671,9140,9159,10097,10471,4882,4914,4915,4918,4966,4970,4975,5016,5113,5160,5161,5192,5250,5253,5312,5443,5482,5483,5485,5492,5493,5517,5561,5592,5614,5747,5820,5821,5822,5882,5939,5940])). % 199.58/199.94 cnf(13732,plain, % 199.58/199.94 (~P108(f330(f62(x137321),f38(f935(x137321,a923),f245(f935(f935(x137321,a923),a923)))))), % 199.58/199.94 inference(scs_inference,[],[4828,4229,12853,12875,13005,13007,13009,3804,11450,12523,12626,12629,12721,12763,12767,12775,12847,13035,13037,13430,13436,13441,13445,13451,13454,13478,13594,13599,3813,12593,13017,13019,3822,3537,13047,13049,13051,3538,12977,3504,12929,4768,4769,12107,4506,13075,3541,12997,3378,3436,13029,3437,13001,3438,3439,3440,12803,13064,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,12497,12697,12907,12961,12963,12970,12985,12991,12993,12995,13023,13033,13053,13086,13102,13302,13469,13502,13513,13598,13603,13609,13613,13617,13631,13638,3865,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,12589,12756,12817,13504,13509,13514,13518,3623,3586,13057,3772,12283,4745,10757,10857,11330,11430,13538,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3192,3195,3201,3207,3210,3213,3222,3223,3230,3234,3236,3239,3240,3242,3247,3248,3253,3258,3264,3265,3268,3269,3270,3282,3289,3290,3293,3294,3298,3301,3302,3309,3313,3316,3323,3324,3325,3328,3329,3335,3336,3351,3355,4730,3360,3435,4731,3904,4134,3549,3608,3525,3528,3499,12788,12792,12796,3514,4026,4334,3482,13363,3634,12850,12932,3401,3402,4120,11785,3622,12965,3465,3398,3426,3884,3421,3620,4238,4128,3947,4706,3409,3410,3382,3388,4038,3446,3624,11173,11300,12590,12807,3498,4203,4758,10584,10754,11641,12748,12789,12793,4765,12760,3558,12127,12130,13396,13489,13564,13568,13572,13576,4161,4805,11356,11455,11693,11696,3533,3966,3555,3671,3890,3663,4783,3638,13045,13093,3462,10657,10987,3463,4792,3725,3454,3379,3513,3484,11775,4348,12778,12919,4205,11376,11511,11572,12732,12738,12864,12867,12897,4823,11275,11524,11635,11661,11701,11707,12676,4824,11409,11527,11638,4825,11530,11583,4826,11590,4827,3483,3764,12632,12673,12759,3931,3713,4620,4621,3748,3785,4756,11768,3908,3866,3910,4469,4083,3833,13285,13289,13293,13297,13307,4130,12623,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,12564,12901,13168,13206,13209,13268,13517,13522,4019,12027,3551,3647,11850,12142,13630,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,12679,12782,13114,13133,13136,13160,13210,13378,13383,13406,13411,4811,11894,11927,11964,11971,12007,13219,13223,4006,3773,3774,13139,13142,13145,13148,13178,13181,13546,13550,13554,4153,3738,13547,3739,13551,3594,3596,3570,4795,3461,4753,3957,4270,3757,4812,4341,11658,3889,3607,12149,12152,12597,12701,12878,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,12219,4310,4269,12300,12647,4214,11170,12482,12657,12806,13567,4259,13571,4264,11379,12520,12596,12656,12700,13399,4265,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,12542,12812,12874,12894,12904,13369,13435,13440,13460,13481,4815,11118,11535,12660,13448,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,12640,12704,12823,12870,13161,13184,13242,13260,13271,13276,13279,13282,13315,13326,13339,13389,13417,13420,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,12405,13175,13319,13342,13379,13384,13407,13412,13610,13614,13618,3569,12567,12570,3643,12512,13239,13286,13290,13294,13298,13308,13312,13499,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,12611,12707,12710,12816,12856,12941,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,12755,12944,13362,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,12538,12685,12729,12735,12835,12838,12860,12918,12924,12935,12955,13238,13254,13257,13351,13473,13492,13495,13498,13543,13563,13597,3628,10984,11014,11023,11026,11029,11627,12857,12871,13220,13224,13227,13230,3667,13531,13589,3660,4087,4024,10636,12030,12062,13201,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,13423,3588,11017,11178,11248,12063,12212,12410,12616,12641,13251,13534,13629,4048,12155,13155,4389,3779,4801,4059,4095,4786,4789,4790,3544,3548,4788,4787,4557,3879,12023,4484,4817,10883,10886,4822,11365,11368,11560,11671,11688,11730,4171,11727,12083,12087,12766,12774,12863,13429,4014,11291,11297,11317,12332,12462,12541,12831,3863,11435,11563,12573,12682,12692,12771,12826,12834,12952,13372,4346,4016,11020,11398,11569,11603,11614,12770,12820,13465,3721,11282,3829,10936,10939,11032,11204,3831,4820,12024,4816,13123,4821,10776,10889,12635,12644,12688,12888,12891,4444,11161,12653,12668,12691,4352,4047,12958,3992,3993,4818,10606,10609,10978,10981,11891,12088,12900,4819,12004,12093,4017,10942,11210,13521,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887,7913,7914,7945,7947,7948,7949,7954,7975,7992,7997,8003,8005,8013,8025,8026,8028,8049,8055,8076,8144,8145,8146,8194,8200,8201,8224,8225,8242,8243,8244,8301,8302,8331,8360,8370,8384,8397,8426,8430,8436,8448,8466,8471,8493,8538,8568,8582,8601,8604,8630,8657,8714,8715,8718,8719,8787,8821,8822,8823,8824,8851,8883,8912,8920,8921,8962,8983,9028,9044,9090,9093,9108,9115,9158,9201,9202,9220,9221,9235,9352,9358,9362,9382,9393,9416,9418,9421,9427,9429,9430,9440,9441,9460,9468,9478,9485,9527,9545,9600,9601,9607,9646,9671,9676,9715,9725,9728,9729,9731,9732,9744,9768,9783,9792,9793,9795,9797,9826,9946,9947,9997,9998,10037,10073,10184,10243,10307,10394,10412,10417,3,2893,2894,2895,2896,2898,2900,2902,2904,2905,2906,2907,2908,2909,2920,2921,2922,2923,2924,2925,2926,2927,2934,2936,2939,2940,2943,2944,2945,2946,2947,2953,2954,2955,2957,2959,2960,2963,2964,2965,2967,2968,2971,2972,2974,2991,2992,2993,2994,3011,3013,3014,3015,3016,3024,3031,3034,3035,3040,3041,3045,3046,3047,3065,3072,3073,3097,3100,3101,3102,3103,3104,3105,3106,3108,3126,3127,3128,3129,3131,3132,3146,3147,3149,3155,3156,5545,5584,5731,5732,5733,5815,5913,5943,5977,5993,5995,6001,6063,6064,6065,6066,6074,6109,6246,6283,6293,6318,6353,6390,6537,6542,6580,6581,6604,6606,6608,6615,6616,6617,6618,6619,6620,6621,6622,6704,6775,6776,6862,6897,6898,6937,6938,7075,7089,7145,7162,7163,7170,7192,7223,7225,7271,7293,7294,7312,7313,7350,7395,7396,7495,7564,7565,7566,7567,7582,7614,7664,7665,7674,7679,7680,7691,7722,7723,7724,7725,7868,7869,7871,7873,7879,7880,8082,8085,8091,8092,8103,8141,8142,8220,8260,8314,8336,8337,8412,8506,8578,8579,8583,8616,8653,8678,8679,8746,8763,8764,8765,8766,8916,9177,9178,9249,9263,9316,9317,9437,9471,9497,9529,9570,9766,9889,10032,10212,10268,10270,10403,5883,6144,6145,6686,6687,6778,6798,6799,7214,7433,8837,9084,9272,9273,9343,9344,9524,9618,9619,9620,9621,9829,10096,10110,10472,10473,6760,7660,7909,7910,8670,8671,9140,9159,10097,10471,4882,4914,4915,4918,4966,4970,4975,5016,5113,5160,5161,5192,5250,5253,5312,5443,5482,5483,5485,5492,5493,5517,5561,5592,5614,5747,5820,5821,5822,5882,5939,5940,5966,5970,6029,6031,6040,6046,6125,6210,6360,6415,6524])). % 199.58/199.94 cnf(13740,plain, % 199.58/199.94 (~P108(f330(f330(f239(a928),f2(a928)),f32(x137401,f2(a928),x137402,x137403,x137404,x137405,x137406,x137407,x137408,a25)))), % 199.58/199.94 inference(scs_inference,[],[4828,4229,12853,12875,13005,13007,13009,3804,11450,12523,12626,12629,12721,12763,12767,12775,12847,13035,13037,13430,13436,13441,13445,13451,13454,13478,13594,13599,3813,12593,13017,13019,3822,3537,13047,13049,13051,3538,12977,3504,12929,4768,4769,12107,4506,13075,3541,12997,3378,3436,13029,3437,13001,3438,3439,3440,12803,13064,4767,4719,10520,10540,10593,10596,10692,10695,11011,11037,11303,11306,11736,11739,11754,11757,11795,11802,11805,11808,11811,11821,11862,11878,11905,11908,11919,11924,11930,11994,12036,12039,12042,12045,12049,12059,12146,12178,12497,12697,12907,12961,12963,12970,12985,12991,12993,12995,13023,13033,13053,13086,13102,13302,13469,13502,13513,13598,13603,13609,13613,13617,13631,13638,3865,4733,10523,10533,10547,10558,10630,10665,10668,10671,10773,10908,11223,11420,11423,11442,11445,11644,11742,11749,11763,11814,11817,11851,11867,11933,11991,12010,12311,12336,12350,12379,12385,12479,12589,12756,12817,13504,13509,13514,13518,3623,3586,13057,3772,12283,4745,10757,10857,11330,11430,13538,3173,3174,3176,3177,3179,3180,3183,3184,3185,3191,3192,3195,3201,3207,3210,3213,3222,3223,3230,3234,3236,3239,3240,3242,3247,3248,3253,3258,3264,3265,3268,3269,3270,3282,3289,3290,3293,3294,3298,3301,3302,3309,3313,3316,3323,3324,3325,3328,3329,3335,3336,3351,3355,4730,3360,3435,4731,3904,4134,3549,3608,3525,3528,3499,12788,12792,12796,3514,4026,4334,3482,13363,3634,12850,12932,3401,3402,4120,11785,3622,12965,3465,3398,3426,3884,3421,3620,4238,4128,3947,4706,3409,3410,3382,3388,4038,3446,3624,11173,11300,12590,12807,3498,4203,4758,10584,10754,11641,12748,12789,12793,4765,12760,3558,12127,12130,13396,13489,13564,13568,13572,13576,4161,4805,11356,11455,11693,11696,3533,3966,3555,3671,3890,3663,4783,3638,13045,13093,3462,10657,10987,3463,4792,3725,3454,3379,3513,3484,11775,4348,12778,12919,4205,11376,11511,11572,12732,12738,12864,12867,12897,4823,11275,11524,11635,11661,11701,11707,12676,4824,11409,11527,11638,4825,11530,11583,4826,11590,4827,3483,3764,12632,12673,12759,3931,3713,4620,4621,3748,3785,4756,11768,3908,3866,3910,4469,4083,3833,13285,13289,13293,13297,13307,4130,12623,3750,4009,3635,10676,10796,10874,10947,10950,10990,11094,11346,11968,12181,12223,12307,12372,12450,12488,12561,12564,12901,13168,13206,13209,13268,13517,13522,4019,12027,3551,3647,11850,12142,13630,3828,4798,10561,10564,10590,10717,10892,11102,11115,11233,11683,11778,11967,12198,12203,12222,12426,12429,12509,12679,12782,13114,13133,13136,13160,13210,13378,13383,13406,13411,4811,11894,11927,11964,11971,12007,13219,13223,4006,3773,3774,13139,13142,13145,13148,13178,13181,13546,13550,13554,4153,3738,13547,3739,13551,3594,3596,3570,4795,3461,4753,3957,4270,3757,4812,4341,11658,3889,3607,12149,12152,12597,12701,12878,4803,10552,10555,10725,10820,10839,10846,10869,10877,10880,10897,11085,11333,11552,11844,11943,12096,12216,12219,4310,4269,12300,12647,4214,11170,12482,12657,12806,13567,4259,13571,4264,11379,12520,12596,12656,12700,13399,4265,3932,11975,12310,12457,12528,12580,4298,3949,10720,10817,11382,11460,11545,11609,12478,12542,12812,12874,12894,12904,13369,13435,13440,13460,13481,4815,11118,11535,12660,13448,3567,10685,10783,10933,10997,11074,11121,11124,11155,11181,11217,11255,11294,11877,12099,12145,12280,12335,12353,12356,12359,12362,12535,12549,12552,12555,12558,12640,12704,12823,12870,13161,13184,13242,13260,13271,13276,13279,13282,13315,13326,13339,13389,13417,13420,3568,10712,10768,11002,11097,11220,11870,11936,12177,12184,12195,12286,12297,12316,12321,12365,12388,12405,13175,13319,13342,13379,13384,13407,13412,13610,13614,13618,3569,12567,12570,3643,12512,13239,13286,13290,13294,13298,13308,13312,13499,4794,10601,10633,11139,11184,11193,12058,12080,12254,12257,12260,12263,12349,12368,12371,12384,12438,12441,12444,12447,12608,12611,12707,12710,12816,12856,12941,3720,10862,10953,11228,11272,11514,11517,11598,11680,11854,12110,12755,12944,13362,4807,11148,11158,11264,11285,11288,11359,11362,11373,11476,11484,11498,11538,11557,11566,11606,11647,11652,11655,11674,11677,11710,11715,11718,11721,11724,11974,12124,12158,12432,12435,12469,12513,12538,12685,12729,12735,12835,12838,12860,12918,12924,12935,12955,13238,13254,13257,13351,13473,13492,13495,13498,13543,13563,13597,3628,10984,11014,11023,11026,11029,11627,12857,12871,13220,13224,13227,13230,3667,13531,13589,3660,4087,4024,10636,12030,12062,13201,4804,10581,10972,10975,11479,11495,11990,12048,12084,12111,12213,12242,12245,12248,12251,12508,13423,3588,11017,11178,11248,12063,12212,12410,12616,12641,13251,13534,13629,4048,12155,13155,4389,3779,4801,4059,4095,4786,4789,4790,3544,3548,4788,4787,4557,3879,12023,4484,4817,10883,10886,4822,11365,11368,11560,11671,11688,11730,4171,11727,12083,12087,12766,12774,12863,13429,4014,11291,11297,11317,12332,12462,12541,12831,3863,11435,11563,12573,12682,12692,12771,12826,12834,12952,13372,4346,4016,11020,11398,11569,11603,11614,12770,12820,13465,3721,11282,3829,10936,10939,11032,11204,3831,4820,12024,4816,13123,4821,10776,10889,12635,12644,12688,12888,12891,4444,11161,12653,12668,12691,4352,4047,12958,3992,3993,4818,10606,10609,10978,10981,11891,12088,12900,4819,12004,12093,4017,10942,11210,13521,4284,4835,4861,4916,4920,4950,4965,4972,4974,5010,5015,5044,5050,5136,5162,5163,5178,5228,5229,5251,5252,5266,5269,5294,5300,5316,5320,5321,5322,5327,5328,5351,5375,5377,5378,5388,5393,5399,5435,5436,5444,5452,5456,5458,5461,5473,5475,5481,5486,5487,5500,5506,5509,5510,5514,5548,5562,5571,5573,5574,5577,5578,5579,5589,5591,5597,5598,5599,5605,5609,5610,5611,5619,5623,5624,5630,5643,5651,5663,5665,5673,5675,5676,5679,5683,5709,5723,5724,5739,5751,5773,5779,5801,5802,5806,5825,5833,5834,5839,5840,5850,5852,5864,5868,5877,5878,5880,5881,5897,5902,5911,5912,5923,5930,5944,5948,5951,5957,5958,5959,5962,5967,6003,6004,6007,6009,6011,6013,6014,6015,6017,6019,6021,6026,6033,6048,6062,6068,6069,6072,6083,6084,6091,6095,6097,6102,6110,6148,6163,6172,6175,6184,6188,6189,6190,6191,6192,6197,6202,6212,6218,6236,6240,6249,6278,6292,6319,6336,6337,6340,6355,6357,6359,6361,6376,6377,6380,6382,6385,6386,6400,6408,6409,6410,6412,6414,6449,6450,6456,6459,6465,6469,6503,6505,6507,6509,6518,6520,6522,6528,6530,6535,6538,6546,6554,6556,6557,6564,6585,6586,6587,6588,6589,6591,6598,6603,6636,6637,6640,6641,6642,6644,6645,6646,6647,6655,6688,6689,6690,6699,6721,6722,6744,6746,6758,6759,6765,6795,6797,6811,6815,6850,6852,6853,6907,6930,6972,6991,7000,7001,7002,7003,7022,7023,7030,7042,7045,7047,7048,7049,7051,7053,7067,7078,7079,7080,7093,7148,7159,7161,7165,7184,7185,7219,7226,7231,7261,7292,7348,7377,7434,7455,7464,7467,7527,7537,7597,7599,7613,7622,7623,7624,7640,7644,7646,7692,7702,7705,7720,7768,7770,7773,7816,7817,7835,7905,7923,7946,7969,7981,7995,8006,8017,8018,8044,8046,8048,8057,8095,8106,8131,8158,8191,8222,8255,8294,8310,8312,8328,8329,8394,8405,8470,8494,8513,8540,8541,8580,8581,8598,8637,8639,8641,8648,8663,8667,8682,8703,8711,8713,8723,8728,8732,8733,8734,8735,8736,8737,8756,8770,8771,8789,8790,8795,8796,8797,8798,8799,8817,8818,8819,8829,8842,8845,8856,8861,8863,8865,8866,8867,8874,8880,8888,8891,8908,8909,8918,8919,8927,8946,8959,8963,8984,9006,9007,9010,9011,9017,9026,9027,9050,9061,9071,9072,9073,9076,9099,9100,9111,9161,9167,9173,9175,9191,9194,9205,9206,9207,9218,9282,9313,9314,9315,9330,9347,9355,9356,9384,9385,9453,9486,9492,9502,9503,9504,9513,9541,9557,9561,9565,9587,9588,9615,9679,9684,9687,9719,9720,9721,9745,9746,9763,9784,9790,9802,9827,9848,9857,9858,9859,9860,9875,9877,9882,9912,9913,9919,9920,9964,9965,9976,9977,10002,10020,10022,10023,10031,10036,10043,10067,10102,10104,10108,10158,10197,10201,10202,10204,10213,10214,10234,10239,10331,10420,10421,10422,10423,10486,10504,2,8,9,4848,4849,4867,4909,4911,4912,4935,4943,4944,4954,4999,5001,5049,5179,5180,5193,5217,5272,5273,5279,5280,5282,5284,5293,5296,5297,5305,5318,5319,5325,5346,5347,5364,5369,5370,5371,5372,5376,5384,5387,5394,5449,5454,5455,5460,5467,5497,5507,5512,5528,5546,5547,5554,5555,5556,5567,5585,5587,5588,5595,5602,5603,5615,5616,5617,5618,5620,5621,5626,5627,5628,5629,5659,5660,5661,5669,5670,5671,5672,5715,5720,5722,5758,5760,5761,5763,5764,5766,5767,5769,5778,5783,5784,5785,5787,5789,5790,5791,5792,5793,5794,5803,5804,5814,5817,5828,5844,5845,5848,5858,5860,5861,5862,5889,5899,5914,5915,5924,5925,5927,5929,5934,5969,5974,5976,6035,6070,6071,6076,6082,6085,6086,6087,6088,6107,6111,6112,6121,6143,6176,6195,6196,6200,6201,6203,6226,6230,6233,6234,6235,6251,6262,6263,6294,6295,6299,6321,6324,6327,6349,6350,6378,6381,6389,6399,6407,6411,6419,6420,6421,6422,6452,6453,6470,6521,6558,6560,6561,6582,6583,6590,6594,6595,6599,6613,6628,6649,6650,6653,6656,6666,6681,6702,6709,6711,6726,6727,6731,6733,6734,6735,6737,6739,6740,6741,6745,6751,6752,6754,6755,6761,6763,6805,6810,6826,6828,6829,6830,6863,6868,6870,6875,6876,6886,6890,6902,6925,6926,6928,6929,6940,6946,6964,6967,6985,7004,7016,7017,7018,7024,7038,7057,7059,7061,7063,7068,7074,7076,7090,7095,7096,7133,7134,7135,7150,7151,7153,7154,7174,7176,7191,7217,7239,7250,7252,7254,7256,7257,7289,7290,7291,7295,7296,7304,7306,7307,7308,7330,7339,7340,7351,7361,7401,7411,7417,7424,7435,7440,7442,7449,7458,7471,7488,7509,7511,7530,7583,7584,7585,7587,7589,7593,7598,7659,7688,7703,7719,7750,7753,7776,7800,7818,7821,7822,7832,7852,7854,7856,7858,7859,7860,7861,7862,7887,7913,7914,7945,7947,7948,7949,7954,7975,7992,7997,8003,8005,8013,8025,8026,8028,8049,8055,8076,8144,8145,8146,8194,8200,8201,8224,8225,8242,8243,8244,8301,8302,8331,8360,8370,8384,8397,8426,8430,8436,8448,8466,8471,8493,8538,8568,8582,8601,8604,8630,8657,8714,8715,8718,8719,8787,8821,8822,8823,8824,8851,8883,8912,8920,8921,8962,8983,9028,9044,9090,9093,9108,9115,9158,9201,9202,9220,9221,9235,9352,9358,9362,9382,9393,9416,9418,9421,9427,9429,9430,9440,9441,9460,9468,9478,9485,9527,9545,9600,9601,9607,9646,9671,9676,9715,9725,9728,9729,9731,9732,9744,9768,9783,9792,9793,9795,9797,9826,9946,9947,9997,9998,10037,10073,10184,10243,10307,10394,10412,10417,3,2893,2894,2895,2896,2898,2900,2902,2904,2905,2906,2907,2908,2909,2920,2921,2922,2923,2924,2925,2926,2927,2934,2936,2939,2940,2943,2944,2945,2946,2947,2953,2954,2955,2957,2959,2960,2963,2964,2965,2967,2968,2971,2972,2974,2991,2992,2993,2994,3011,3013,3014,3015,3016,3024,3031,3034,3035,3040,3041,3045,3046,3047,3065,3072,3073,3097,3100,3101,3102,3103,3104,3105,3106,3108,3126,3127,3128,3129,3131,3132,3146,3147,3149,3155,3156,5545,5584,5731,5732,5733,5815,5913,5943,5977,5993,5995,6001,6063,6064,6065,6066,6074,6109,6246,6283,6293,6318,6353,6390,6537,6542,6580,6581,6604,6606,6608,6615,6616,6617,6618,6619,6620,6621,6622,6704,6775,6776,6862,6897,6898,6937,6938,7075,7089,7145,7162,7163,7170,7192,7223,7225,7271,7293,7294,7312,7313,7350,7395,7396,7495,7564,7565,7566,7567,7582,7614,7664,7665,7674,7679,7680,7691,7722,7723,7724,7725,7868,7869,7871,7873,7879,7880,8082,8085,8091,8092,8103,8141,8142,8220,8260,8314,8336,8337,8412,8506,8578,8579,8583,8616,8653,8678,8679,8746,8763,8764,8765,8766,8916,9177,9178,9249,9263,9316,9317,9437,9471,9497,9529,9570,9766,9889,10032,10212,10268,10270,10403,5883,6144,6145,6686,6687,6778,6798,6799,7214,7433,8837,9084,9272,9273,9343,9344,9524,9618,9619,9620,9621,9829,10096,10110,10472,10473,6760,7660,7909,7910,8670,8671,9140,9159,10097,10471,4882,4914,4915,4918,4966,4970,4975,5016,5113,5160,5161,5192,5250,5253,5312,5443,5482,5483,5485,5492,5493,5517,5561,5592,5614,5747,5820,5821,5822,5882,5939,5940,5966,5970,6029,6031,6040,6046,6125,6210,6360,6415,6524,6648,6808,7010,7266])). % 199.58/199.94 cnf(13886,plain, % 199.58/199.94 (~P108(f330(f330(f332(x138861),x138862),f330(f313(x138863,x138861,x138864),f330(f313(x138865,x138863,x138866),f191(f935(x138865,a923))))))), % 199.58/199.94 inference(rename_variables,[],[11540])). % 199.58/199.94 cnf(13896,plain, % 199.58/199.94 (E(f330(x138961,f330(f94(x138962,x138963,f245(f935(x138962,a923)),x138961),f330(x138961,x138964))),f330(x138961,x138964))), % 199.58/199.94 inference(rename_variables,[],[11432])). % 199.58/199.94 cnf(13899,plain, % 199.58/199.94 (E(x138991,f32(x138992,x138991,x138993,x138994,x138995,x138996,x138997,x138998,x138999,a25))), % 199.58/199.94 inference(rename_variables,[],[11732])). % 199.58/199.94 cnf(13902,plain, % 199.58/199.94 (E(x139021,f32(x139022,x139021,x139023,x139024,x139025,x139026,x139027,x139028,x139029,a25))), % 199.58/199.94 inference(rename_variables,[],[11732])). % 199.58/199.94 cnf(13907,plain, % 199.58/199.94 (E(f330(x139071,f330(f94(x139072,x139073,f245(f935(x139072,a923)),x139071),f330(x139071,x139074))),f330(x139071,x139074))), % 199.58/199.94 inference(rename_variables,[],[11432])). % 199.58/199.94 cnf(13915,plain, % 199.58/199.94 (P108(f330(f330(f239(a1),x139151),f330(f330(f82(a1),x139151),f80(a1))))), % 199.58/199.94 inference(rename_variables,[],[11219])). % 199.58/199.94 cnf(13918,plain, % 199.58/199.94 (P108(f330(f330(f239(a1),x139181),f330(f330(f82(a1),x139181),f80(a1))))), % 199.58/199.94 inference(rename_variables,[],[11219])). % 199.58/199.94 cnf(13923,plain, % 199.58/199.94 (~P108(f330(f330(f239(a928),x139231),f330(f192(f929(x139232)),f116(x139232))))), % 199.58/199.94 inference(rename_variables,[],[12917])). % 199.58/199.94 cnf(13934,plain, % 199.58/199.94 (E(f330(x139341,f330(f94(x139342,x139343,f245(f935(x139342,a923)),x139341),f330(x139341,x139344))),f330(x139341,x139344))), % 199.58/199.94 inference(rename_variables,[],[11432])). % 199.58/199.94 cnf(13956,plain, % 199.58/199.94 (~P108(f330(f330(f332(x139561),x139562),f330(f313(x139563,x139561,x139564),f330(f313(x139565,x139563,x139566),f191(f935(x139565,a923))))))), % 199.58/199.94 inference(rename_variables,[],[11540])). % 199.58/199.94 cnf(13959,plain, % 199.58/199.94 (E(f330(x139591,f330(f94(x139592,x139593,f245(f935(x139592,a923)),x139591),f330(x139591,x139594))),f330(x139591,x139594))), % 199.58/199.94 inference(rename_variables,[],[11432])). % 199.58/199.94 cnf(13965,plain, % 199.58/199.95 (E(f330(x139651,f330(f94(x139652,x139653,f245(f935(x139652,a923)),x139651),f330(x139651,x139654))),f330(x139651,x139654))), % 199.58/199.95 inference(rename_variables,[],[11432])). % 199.58/199.95 cnf(13968,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x139681,x139682)),x139683),f330(f313(f934(x139684,x139684),f934(x139681,x139682),f261(x139684,x139681,x139684,x139682,x139685,x139686)),f156(x139684,f116(f935(x139684,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11729])). % 199.58/199.95 cnf(13971,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x139711,x139712)),x139713),f330(f313(f934(x139714,x139714),f934(x139711,x139712),f261(x139714,x139711,x139714,x139712,x139715,x139716)),f156(x139714,f116(f935(x139714,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11729])). % 199.58/199.95 cnf(13974,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x139741,x139742)),x139743),f330(f313(f934(x139744,x139744),f934(x139741,x139742),f261(x139744,x139741,x139744,x139742,x139745,x139746)),f156(x139744,f116(f935(x139744,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11729])). % 199.58/199.95 cnf(13977,plain, % 199.58/199.95 (~P108(f330(f330(f332(x139771),x139772),f330(f313(x139773,x139771,x139774),f330(f313(x139775,x139773,x139776),f191(f935(x139775,a923))))))), % 199.58/199.95 inference(rename_variables,[],[11540])). % 199.58/199.95 cnf(13980,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x139801,x139802)),x139803),f330(f313(f934(x139804,x139804),f934(x139801,x139802),f261(x139804,x139801,x139804,x139802,x139805,x139806)),f156(x139804,f116(f935(x139804,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11729])). % 199.58/199.95 cnf(13983,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x139831,x139832)),x139833),f330(f313(f934(x139834,x139834),f934(x139831,x139832),f261(x139834,x139831,x139834,x139832,x139835,x139836)),f156(x139834,f116(f935(x139834,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11729])). % 199.58/199.95 cnf(13986,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x139861,x139862)),x139863),f330(f313(f934(x139864,x139864),f934(x139861,x139862),f261(x139864,x139861,x139864,x139862,x139865,x139866)),f156(x139864,f116(f935(x139864,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11729])). % 199.58/199.95 cnf(13989,plain, % 199.58/199.95 (~P108(f330(f330(f332(x139891),x139892),f330(f313(x139893,x139891,x139894),f330(f313(x139895,x139893,x139896),f191(f935(x139895,a923))))))), % 199.58/199.95 inference(rename_variables,[],[11540])). % 199.58/199.95 cnf(13992,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x139921,x139921)),x139922),f266(x139921,f191(f935(x139921,a923)))))), % 199.58/199.95 inference(rename_variables,[],[11284])). % 199.58/199.95 cnf(13995,plain, % 199.58/199.95 (E(f330(x139951,f330(f94(x139952,x139953,f245(f935(x139952,a923)),x139951),f330(x139951,x139954))),f330(x139951,x139954))), % 199.58/199.95 inference(rename_variables,[],[11432])). % 199.58/199.95 cnf(14001,plain, % 199.58/199.95 (P108(f330(f330(f239(a1),f330(f330(f23(a1),x140011),f80(a1))),x140011))), % 199.58/199.95 inference(rename_variables,[],[11096])). % 199.58/199.95 cnf(14008,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x140081,x140082)),x140083),f330(f313(f934(x140084,x140084),f934(x140081,x140082),f261(x140084,x140081,x140084,x140082,x140085,x140086)),f156(x140084,f116(f935(x140084,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11729])). % 199.58/199.95 cnf(14011,plain, % 199.58/199.95 (P108(f330(f330(f238(f935(x140111,a923)),f330(f288(x140112,x140111,f191(f935(f934(x140112,x140111),a923))),x140113)),x140114))), % 199.58/199.95 inference(rename_variables,[],[11568])). % 199.58/199.95 cnf(14027,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(f929(x140271),f929(x140271))),f330(f330(f255(f929(x140271),f929(x140271)),x140272),x140273)),f160(x140271,f156(x140271,f116(f935(x140271,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11687])). % 199.58/199.95 cnf(14030,plain, % 199.58/199.95 (P108(f330(f330(f238(a1),f46(a928,x140301,f32(x140302,f2(a928),x140303,x140304,x140305,x140306,x140307,x140308,x140309,a25))),x140301))), % 199.58/199.95 inference(rename_variables,[],[12176])). % 199.58/199.95 cnf(14037,plain, % 199.58/199.95 (~P108(f330(f330(f258(x140371,x140372,a923,f330(f175(x140373),f116(x140373))),x140374),x140375))), % 199.58/199.95 inference(rename_variables,[],[11551])). % 199.58/199.95 cnf(14058,plain, % 199.58/199.95 (P108(f330(f330(f239(a1),f330(f330(f23(a1),x140581),f80(a1))),x140581))), % 199.58/199.95 inference(rename_variables,[],[11096])). % 199.58/199.95 cnf(14068,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x140681,x140681)),x140682),f266(x140681,f191(f935(x140681,a923)))))), % 199.58/199.95 inference(rename_variables,[],[11284])). % 199.58/199.95 cnf(14073,plain, % 199.58/199.95 (P108(f330(f330(f239(a1),f330(f330(f23(a1),x140731),f80(a1))),x140731))), % 199.58/199.95 inference(rename_variables,[],[11096])). % 199.58/199.95 cnf(14085,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x140851,x140852)),x140853),f330(f313(f934(x140854,x140854),f934(x140851,x140852),f261(x140854,x140851,x140854,x140852,x140855,x140856)),f156(x140854,f116(f935(x140854,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11729])). % 199.58/199.95 cnf(14088,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x140881,x140882)),x140883),f330(f313(f934(x140884,x140884),f934(x140881,x140882),f261(x140884,x140881,x140884,x140882,x140885,x140886)),f156(x140884,f116(f935(x140884,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11729])). % 199.58/199.95 cnf(14091,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x140911,x140911)),x140912),f266(x140911,f191(f935(x140911,a923)))))), % 199.58/199.95 inference(rename_variables,[],[11284])). % 199.58/199.95 cnf(14100,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(f929(x141001),f929(x141001))),f330(f330(f255(f929(x141001),f929(x141001)),x141002),x141002)),f150(x141001,f156(x141001,f116(f935(x141001,a928))))))), % 199.58/199.95 inference(rename_variables,[],[12939])). % 199.58/199.95 cnf(14110,plain, % 199.58/199.95 (~E(f245(f935(x141101,a923)),f191(f935(x141101,a923)))), % 199.58/199.95 inference(rename_variables,[],[4759])). % 199.58/199.95 cnf(14122,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x141221,x141222)),x141223),f330(f313(f934(x141224,x141224),f934(x141221,x141222),f261(x141224,x141221,x141224,x141222,x141225,x141226)),f156(x141224,f116(f935(x141224,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11729])). % 199.58/199.95 cnf(14127,plain, % 199.58/199.95 (~P108(f330(f330(f332(x141271),x141272),f330(f313(x141273,x141271,x141274),f330(f313(x141275,x141273,x141276),f191(f935(x141275,a923))))))), % 199.58/199.95 inference(rename_variables,[],[11540])). % 199.58/199.95 cnf(14136,plain, % 199.58/199.95 (P108(f330(f330(f238(f935(x141361,a923)),f330(f330(f23(f935(x141361,a923)),x141362),x141363)),x141362))), % 199.58/199.95 inference(rename_variables,[],[4283])). % 199.58/199.95 cnf(14139,plain, % 199.58/199.95 (P108(f330(f330(f238(f935(x141391,a923)),f330(f288(x141392,x141391,f191(f935(f934(x141392,x141391),a923))),x141393)),x141394))), % 199.58/199.95 inference(rename_variables,[],[11568])). % 199.58/199.95 cnf(14144,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x141441,x141442)),x141443),f330(f313(f934(x141444,x141444),f934(x141441,x141442),f261(x141444,x141441,x141444,x141442,x141445,x141446)),f156(x141444,f116(f935(x141444,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11729])). % 199.58/199.95 cnf(14149,plain, % 199.58/199.95 (~P108(f330(f330(f68(f929(x141491),f929(x141491),f148(x141491,x141492)),x141493),f116(x141491)))), % 199.58/199.95 inference(rename_variables,[],[11406])). % 199.58/199.95 cnf(14155,plain, % 199.58/199.95 (P108(f330(f330(f239(a1),f330(f330(f23(a1),x141551),f80(a1))),x141551))), % 199.58/199.95 inference(rename_variables,[],[11096])). % 199.58/199.95 cnf(14172,plain, % 199.58/199.95 (~P108(f330(f330(f258(x141721,x141722,a923,f330(f175(x141723),f116(x141723))),x141724),x141725))), % 199.58/199.95 inference(rename_variables,[],[11551])). % 199.58/199.95 cnf(14191,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(f929(x141911),f929(x141911))),f330(f330(f255(f929(x141911),f929(x141911)),x141912),x141913)),f160(x141911,f156(x141911,f116(f935(x141911,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11687])). % 199.58/199.95 cnf(14198,plain, % 199.58/199.95 (P108(f330(f330(f239(a1),f330(f330(f23(a1),x141981),f80(a1))),x141981))), % 199.58/199.95 inference(rename_variables,[],[11096])). % 199.58/199.95 cnf(14205,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(f929(x142051),f929(x142051))),f330(f330(f255(f929(x142051),f929(x142051)),x142052),x142053)),f160(x142051,f156(x142051,f116(f935(x142051,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11687])). % 199.58/199.95 cnf(14208,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(f929(x142081),f929(x142081))),f330(f330(f255(f929(x142081),f929(x142081)),x142082),x142083)),f160(x142081,f156(x142081,f116(f935(x142081,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11687])). % 199.58/199.95 cnf(14217,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x142171,x142172)),x142173),f330(f313(f934(x142174,x142174),f934(x142171,x142172),f261(x142174,x142171,x142174,x142172,x142175,x142176)),f156(x142174,f116(f935(x142174,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11729])). % 199.58/199.95 cnf(14244,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x142441,x142441)),x142442),f266(x142441,f191(f935(x142441,a923)))))), % 199.58/199.95 inference(rename_variables,[],[11284])). % 199.58/199.95 cnf(14252,plain, % 199.58/199.95 (P108(f330(f330(f238(f935(x142521,a923)),f330(f330(f23(f935(x142521,a923)),x142522),x142523)),x142522))), % 199.58/199.95 inference(rename_variables,[],[4283])). % 199.58/199.95 cnf(14260,plain, % 199.58/199.95 (P108(f330(f330(f238(a923),x142601),x142601))), % 199.58/199.95 inference(rename_variables,[],[12572])). % 199.58/199.95 cnf(14288,plain, % 199.58/199.95 (~P108(f330(f330(f258(x142881,x142882,a923,f330(f175(x142883),f116(x142883))),x142884),x142885))), % 199.58/199.95 inference(rename_variables,[],[11551])). % 199.58/199.95 cnf(14314,plain, % 199.58/199.95 (P108(f330(f330(f238(f935(x143141,a923)),x143142),f330(f330(f113(f935(x143141,a923)),x143143),x143142)))), % 199.58/199.95 inference(rename_variables,[],[4158])). % 199.58/199.95 cnf(14337,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x143371,x143371)),x143372),f266(x143371,f191(f935(x143371,a923)))))), % 199.58/199.95 inference(rename_variables,[],[11284])). % 199.58/199.95 cnf(14340,plain, % 199.58/199.95 (P108(f330(f330(f238(f935(x143401,a923)),f330(f288(x143402,x143401,x143403),f191(f935(x143402,a923)))),x143404))), % 199.58/199.95 inference(rename_variables,[],[11613])). % 199.58/199.95 cnf(14347,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(f929(x143471),f929(x143471))),f330(f330(f255(f929(x143471),f929(x143471)),x143472),x143473)),f160(x143471,f156(x143471,f116(f935(x143471,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11687])). % 199.58/199.95 cnf(14367,plain, % 199.58/199.95 (P108(f330(f330(f238(a928),x143671),f330(f330(f82(a928),x143672),x143671)))), % 199.58/199.95 inference(rename_variables,[],[3830])). % 199.58/199.95 cnf(14374,plain, % 199.58/199.95 (~P108(f330(f330(f332(f934(x143741,x143742)),x143743),f330(f313(f934(x143744,x143744),f934(x143741,x143742),f261(x143744,x143741,x143744,x143742,x143745,x143746)),f156(x143744,f116(f935(x143744,a928))))))), % 199.58/199.95 inference(rename_variables,[],[11729])). % 199.58/199.95 cnf(14380,plain, % 199.58/199.95 (P108(f330(f330(f238(a928),x143801),f330(f330(f82(a928),x143802),x143801)))), % 199.58/199.95 inference(rename_variables,[],[3830])). % 199.58/199.95 cnf(14416,plain, % 199.58/199.95 (P108(f330(f330(f238(a928),x144161),f330(f330(f82(a928),x144162),x144161)))), % 199.58/199.95 inference(rename_variables,[],[3830])). % 199.58/199.95 cnf(14449,plain, % 199.58/199.95 ($false), % 199.58/199.95 inference(scs_inference,[],[4121,4074,4537,4260,3830,14367,14380,14416,3694,4173,4178,4018,4283,14136,14252,4759,14110,4791,4113,4158,14314,3660,3570,4788,10787,11547,11562,13428,12880,11406,14149,13656,11521,11665,11532,11582,11589,10620,12885,10724,11296,11692,11432,13896,13907,13934,13959,13965,13995,13710,10866,12939,14100,11687,14027,14191,14205,14208,14347,11729,13968,13971,13974,13980,13983,13986,14008,14085,14088,14122,14144,14217,14374,11540,13886,13956,13977,13989,14127,11649,11714,12390,11036,13620,13365,11284,13992,14068,14091,14244,14337,11287,11551,14037,14172,14288,11439,11568,14011,14139,11384,11613,14340,12218,12215,11544,11222,13244,12320,13740,12659,12101,13732,11732,13899,13902,11616,10907,12572,14260,12681,12917,13923,13172,10532,12610,12172,12352,12358,13353,11576,11138,12440,11096,14001,14058,14073,14155,14198,12176,14030,12235,11478,11049,11447,13501,11219,13915,13918,11494,11914,10678,12560,10830,10616,10926,12239,12750,10673,3193,3775,4477,3588,4014,4873,5030,5128,5700,5797,5798,5965,6023,6032,6267,6268,6271,6315,6343,6366,6515,6747,6777,6817,7102,7160,7588,8183,8234,8235,8236,8971,9139,9265,4857,5130,5308,5490,5491,5668,7011,7344,7345,7847,9074,9075,9091,9092,9674,5391,9487,5773,6240,7599,9050,6587,6522,7047,5016,5880,4965,9504,6546,5820,5850,6188,5683,9848,5675,6048,7048,10201,7377,5802,6084,8581,9071,5591,9541,5614,5852,5951,8818,5517,5630,9161,10158,9964,8317,6410,8732,8797,7455,5483,5578,6355,7624,8703,6175,10239,6319,7010,8959,4972,6033,6535,6591,6930,7093,9009,5228,5510,5878,6689,8131,5461,6412,8798,9282,9860,6190,8048,9582,7022,9194,6021,5643,5709,10043,6163,6019,5579,7905,5473,8735,10036,6765,7768,6721,9784,5485,6249,9453,7226,10234,4920,9587,4861,5864,8648,8867,10067,6015,7053,8255,9006,5806,5911,6648,5113,6852,5599,5959,6409,6564,6603,6589,5444,6013,7080,8018,8771,5252,5475,5577,5840,8790,7067,9099,10504,5801,5253,8711,9720,5443,4974,7770,9977,8770,5834,6815,8737,9513,9557,5486,5751,5957,7049,7597,7527,7623,5493,6655,8829,5163,6385,5562,5571,7165,8796,8908,5665,5970,5739,6456,6530,7981,9875,5724,6538,7051,7622,6236,7023,5514,5573,5944,5378,6518,8865,8909,7161,9719,6505,4950]), % 199.58/199.95 ['proof']). % 199.58/199.95 % SZS output end Proof % 199.58/199.95 % Total time :179.020000s %------------------------------------------------------------------------------